From 3e06467282c6d5678a6273747658c04314e013ef Mon Sep 17 00:00:00 2001 From: Alexander Rakoczy Date: Wed, 27 Jan 2021 16:19:02 -0500 Subject: [PATCH 01/69] [release-branch.go1.16] go1.16rc1 Change-Id: I978f6df491a19a9c45ab906dbc5194b8665bf4a5 Reviewed-on: https://go-review.googlesource.com/c/go/+/287352 Run-TryBot: Alexander Rakoczy Trust: Alexander Rakoczy TryBot-Result: Go Bot Reviewed-by: Dmitri Shuralyov --- VERSION | 1 + 1 file changed, 1 insertion(+) create mode 100644 VERSION diff --git a/VERSION b/VERSION new file mode 100644 index 00000000000..1903322150e --- /dev/null +++ b/VERSION @@ -0,0 +1 @@ +go1.16rc1 \ No newline at end of file From f21be2fdc6f1becdbed1592ea0b245cdeedc5ac8 Mon Sep 17 00:00:00 2001 From: Alexander Rakoczy Date: Tue, 16 Feb 2021 12:33:50 -0500 Subject: [PATCH 02/69] [release-branch.go1.16] go1.16 Change-Id: I4c1350e0cb74ebfde5832973979e02997476d16c Reviewed-on: https://go-review.googlesource.com/c/go/+/292609 TryBot-Result: Go Bot Trust: Alexander Rakoczy Run-TryBot: Alexander Rakoczy Reviewed-by: Dmitri Shuralyov Reviewed-by: Carlos Amedee --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 1903322150e..166e7aec71a 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -go1.16rc1 \ No newline at end of file +go1.16 \ No newline at end of file From 3649d831903d9fadd0da43b1c35e479b89c8ea5a Mon Sep 17 00:00:00 2001 From: Bas Westerbaan Date: Wed, 22 Jul 2020 12:09:21 +0200 Subject: [PATCH 03/69] Add support for CIRCL --- cf-copy-from-circle.py | 77 + src/circl/.github/workflows/ci-actions.yml | 73 + src/circl/.gitignore | 2 + src/circl/LICENSE | 57 + src/circl/README.md | 72 + src/circl/dh/csidh/consts.go | 104 + src/circl/dh/csidh/csidh.go | 333 + src/circl/dh/csidh/csidh_test.go | 360 + src/circl/dh/csidh/curve.go | 212 + src/circl/dh/csidh/curve_test.go | 371 + src/circl/dh/csidh/doc.go | 11 + src/circl/dh/csidh/fp511.go | 216 + src/circl/dh/csidh/fp511_amd64.go | 64 + 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src/circl/sign/dilithium/mode4aes/internal/vec.go create mode 100644 src/circl/sign/doc.go create mode 100644 src/circl/sign/ed25519/ed25519.go create mode 100644 src/circl/sign/ed25519/ed25519_test.go create mode 100644 src/circl/sign/ed25519/modular.go create mode 100644 src/circl/sign/ed25519/modular_test.go create mode 100644 src/circl/sign/ed25519/mult.go create mode 100644 src/circl/sign/ed25519/point.go create mode 100644 src/circl/sign/ed25519/point_test.go create mode 100644 src/circl/sign/ed25519/rfc8032_test.go create mode 100644 src/circl/sign/ed25519/tables.go create mode 100644 src/circl/sign/ed25519/testdata/sign.input.zip create mode 100644 src/circl/sign/ed25519/testdata/wycheproof_Ed25519.json create mode 100644 src/circl/sign/ed25519/wycheproof_test.go create mode 100644 src/circl/sign/ed448/ed448.go create mode 100644 src/circl/sign/ed448/ed448_test.go create mode 100644 src/circl/sign/ed448/rfc8032_test.go create mode 100644 src/circl/sign/ed448/testdata/wycheproof_Ed448.json create mode 100644 src/circl/sign/ed448/wycheproof_test.go create mode 100644 src/circl/sign/eddilithium3/eddilithium.go create mode 100644 src/circl/sign/eddilithium3/eddilithium_test.go create mode 100644 src/circl/sign/eddilithium3/example_test.go create mode 100644 src/circl/sign/eddilithium4/eddilithium.go create mode 100644 src/circl/sign/eddilithium4/eddilithium_test.go create mode 100644 src/circl/sign/eddilithium4/example_test.go create mode 100644 src/circl/simd/doc.go create mode 100644 src/circl/simd/keccakf1600/example_test.go create mode 100644 src/circl/simd/keccakf1600/f1600x4.go create mode 100644 src/circl/simd/keccakf1600/f1600x4_amd64.go create mode 100644 src/circl/simd/keccakf1600/f1600x4_amd64.s create mode 100644 src/circl/simd/keccakf1600/f1600x4_test.go create mode 100644 src/circl/simd/keccakf1600/f1600x4stubs_amd64.go create mode 100644 src/circl/simd/keccakf1600/fallback.go diff --git a/cf-copy-from-circle.py b/cf-copy-from-circle.py new file mode 100644 index 00000000000..41772eb646b --- /dev/null +++ b/cf-copy-from-circle.py @@ -0,0 +1,77 @@ +# Temporary file: copies Dilithium from Cloudflare's circl library into crypto. + +import os +import sys +import tempfile +import subprocess + +base = os.path.dirname(os.path.abspath(sys.argv[0])) + +REPO = 'https://github.com/cloudflare/circl' +BRANCH = 'master' + +circl = os.path.join(base, 'src/circl') + +if os.path.exists(circl): + print("Removing old circl ...") + subprocess.check_call(['rm', '-r', '-f', circl]) + +with tempfile.TemporaryDirectory() as d: + print(f"Cloning {REPO} branch {BRANCH} ...") + subprocess.check_call(['git', 'clone', REPO, '--branch', BRANCH], + cwd=d) + + print("Copying ...") + subprocess.check_call(['cp', '-r', + os.path.join(d, 'circl'), + circl, + ]) + +print("Removing avo sourcecode (for now) ...") +# XXX figure out a way to prevent ./src/all.sh from trying to build the +# asm folders that require avo. +subprocess.check_call(['rm', '-r', + os.path.join(circl, 'simd/keccakf1600/internal/asm'), + os.path.join(circl, 'sign/dilithium/internal/common/asm'), +]) + +print("Removing templates (for now) ...") +# XXX figure out a way to prevent build/deps_test.go from trying to pase +# the templates. +subprocess.check_call(['rm', '-r', + os.path.join(circl, 'sign/dilithium/templates'), + os.path.join(circl, 'sign/dilithium/gen.go'), +]) + +print("Removing misc cruft ...") +subprocess.check_call(['rm', '-r', '-f', + os.path.join(circl, '.git'), + os.path.join(circl, 'go.mod'), + os.path.join(circl, 'go.sum'), + os.path.join(circl, '.etc'), + os.path.join(circl, 'Makefile'), + os.path.join(circl, 'codecov.yml'), +]) + +print("Correcting import paths ...") + +def correct(fn): + with open(fn, 'rb') as f: + s = f.read() + s = s.replace( + b'github.com/cloudflare/circl', + b'circl', + ).replace( + b'golang.org/x/sys/cpu', + b'internal/cpu', + ) + with open(fn, 'wb') as f: + f.write(s) + +for subdir, _, files in os.walk(circl): + for fn in files: + correct(os.path.join(subdir, fn)) + + +print("Formatting ....") +subprocess.check_call(['go', 'fmt', './...'], cwd=circl) diff --git a/src/circl/.github/workflows/ci-actions.yml b/src/circl/.github/workflows/ci-actions.yml new file mode 100644 index 00000000000..e91d3604d37 --- /dev/null +++ b/src/circl/.github/workflows/ci-actions.yml @@ -0,0 +1,73 @@ +name: CIRCL +on: + push: + branches: + - master + pull_request: + branches: + - master +jobs: + amd64_job: + name: Go-${{matrix.GOVER}}/amd64 + runs-on: ubuntu-18.04 + strategy: + matrix: + GOVER: ['1.14', '1.13', '1.12'] + steps: + - name: Checkout + uses: actions/checkout@v2 + - name: Linting + uses: golangci/golangci-lint-action@v1 + with: + version: v1.27 + args: --config=./.etc/golangci.yml ./... + - name: Setup Go-${{ matrix.GOVER }} + uses: actions/setup-go@v2 + with: + go-version: ${{ matrix.GOVER }} + - name: Verifying Code + run: | + go generate -v ./... && test -z "$(git status --porcelain)" + go vet ./... + - name: Building + run: go build -v ./... + - name: Testing + run: go test -v ./... + exotic_job: + name: Go-${{matrix.CFG[2]}}/${{matrix.CFG[0]}} + runs-on: ubuntu-18.04 + strategy: + matrix: + CFG: [ [arm64,arm64v8,1.14] ] + steps: + - uses: actions/checkout@v2 + - name: Enabling Docker Experimental + run: | + echo $'{\n "experimental": true\n}' | sudo tee /etc/docker/daemon.json + sudo service docker restart + - name: Pulling Images + run: | + docker pull -q multiarch/qemu-user-static + docker pull -q --platform linux/${{matrix.CFG[0]}} ${{matrix.CFG[1]}}/golang:${{matrix.CFG[2]}} + docker run --rm --privileged multiarch/qemu-user-static --reset -p yes + - name: Testing + run: | + docker run --rm -v `pwd`:`pwd` -w `pwd` ${{matrix.CFG[1]}}/golang:${{matrix.CFG[2]}} go test -v ./... + coverage_amd64_job: + needs: [ amd64_job ] + if: github.event_name == 'push' + runs-on: ubuntu-18.04 + name: amd64/coverage + steps: + - name: Checkout + uses: actions/checkout@v2 + - name: Setup Go + uses: actions/setup-go@v2 + with: + go-version: '1.14' + - name: Produce Coverage + run: go test -race -coverprofile=./coverage.txt -covermode=atomic ./... + - name: Upload Codecov + uses: codecov/codecov-action@v1 + with: + file: ./coverage.txt diff --git a/src/circl/.gitignore b/src/circl/.gitignore new file mode 100644 index 00000000000..61a92a74401 --- /dev/null +++ b/src/circl/.gitignore @@ -0,0 +1,2 @@ +build/ +go.mod diff --git a/src/circl/LICENSE b/src/circl/LICENSE new file mode 100644 index 00000000000..67edaa90a04 --- /dev/null +++ b/src/circl/LICENSE @@ -0,0 +1,57 @@ +Copyright (c) 2019 Cloudflare. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the name of Cloudflare nor the names of its +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +======================================================================== + +Copyright (c) 2009 The Go Authors. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the name of Google Inc. nor the names of its +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/circl/README.md b/src/circl/README.md new file mode 100644 index 00000000000..4a845c9f82f --- /dev/null +++ b/src/circl/README.md @@ -0,0 +1,72 @@ + + +# CIRCL + +[![CIRCL](https://circl/workflows/CIRCL/badge.svg)](https://circl/actions) +[![GoDoc](https://godoc.org/circl?status.svg)](https://pkg.go.dev/circl?tab=overview) +[![Go Report Card](https://goreportcard.com/badge/circl)](https://goreportcard.com/report/circl) +[![codecov](https://codecov.io/gh/cloudflare/circl/branch/master/graph/badge.svg)](https://codecov.io/gh/cloudflare/circl) + +**CIRCL** (Cloudflare Interoperable, Reusable Cryptographic Library) is a collection +of cryptographic primitives written in Go. The goal of this library is to be used as a tool for +experimental deployment of cryptographic algorithms targeting Post-Quantum (PQ) and Elliptic +Curve Cryptography (ECC). + +## Security Disclaimer + +🚨 This library is offered as-is, and without a guarantee. Therefore, it is expected that changes in the code, repository, and API occur in the future. We recommend to take caution before using this library in a production application since part of its content is experimental. + +## Installation + +You can get it by typing: + +```sh +go get -u circl +``` + +## Versioning + +Version numbers are [Semvers](https://semver.org/). We release a minor version for new functionality, a major version for breaking API changes, and increment the patchlevel for bugfixes. + +## Implemented Primitives + +| Category | Algorithms | Description | Applications | +|-----------|------------|-------------|--------------| +| PQ Key Exchange | SIDH | SIDH provide key exchange mechanisms using ephemeral keys. | Post-quantum key exchange in TLS | +| PQ Key Exchange | cSIDH | Isogeny based drop-in replacement for Diffie–Hellman | Post-Quantum Key exchange. | +| PQ KEM | SIKE | SIKE is a key encapsulation mechanism (KEM). | Post-quantum key exchange in TLS | +| Key Exchange | X25519, X448 | RFC-7748 provides new key exchange mechanisms based on Montgomery elliptic curves. | TLS 1.3. Secure Shell. | +| Key Exchange | FourQ | One of the fastest elliptic curves at 128-bit security level. | Experimental for key agreement and digital signatures. | +| Key Exchange / Digital signatures | P-384 | Our optimizations reduce the burden when moving from P-256 to P-384. | ECDSA and ECDH using Suite B at top secret level. | +| Digital Signatures | Ed25519, Ed448 | RFC-8032 provides new signature schemes based on Edwards curves. | Digital certificates and authentication. | +| PQ Digital Signatures | Dilithium, Hybrid modes | Lattice (Module LWE) based signature scheme | Post-Quantum PKI | + +### Work in Progress + +| Category | Algorithms | Description | Applications | +|----------|------------|-------------|--------------| +| Hashing to Elliptic Curve Groups | Several algorithms: Elligator2, Ristretto, SWU, Icart. | Protocols based on elliptic curves require hash functions that map bit strings to points on an elliptic curve. | VOPRF. OPAQUE. PAKE. Verifiable random functions. | +| Bilinear Pairings | Plans for moving BN256 to stronger pairing curves. | A bilineal pairing is a mathematical operation that enables the implementation of advanced cryptographic protocols, such as identity-based encryption (IBE), short digital signatures (BLS), and attribute-based encryption (ABE). | Geo Key Manager, Randomness Beacon, Ethereum and other blockchain applications. | +| PQ KEM | HRSS-SXY | Lattice (NTRU) based key encapsulation mechanism. | Key exchange for low-latency environments | +| PQ KEM | Kyber | Lattice (M-LWE) based key encapsulation mechanism. | Post-Quantum Key exchange | +| PQ Digital Signatures | SPHINCS+ | Stateless hash-based signature scheme | Post-Quantum PKI | + +## Testing and Benchmarking + +Library comes with number of make targets which can be used for testing and +benchmarking: + +- ``test`` performs testing of the binary. +- ``bench`` runs benchmarks. +- ``cover`` produces coverage. +- ``lint`` runs set of linters on the code base. + +## Contributing + +To contribute, fork this repository and make your changes, and then make a Pull +Request. A Pull Request requires approval of the admin team and a successful +CI build. + +## License + +The project is licensed under the [BSD-3-Clause License](./LICENSE). diff --git a/src/circl/dh/csidh/consts.go b/src/circl/dh/csidh/consts.go new file mode 100644 index 00000000000..7ef31cce076 --- /dev/null +++ b/src/circl/dh/csidh/consts.go @@ -0,0 +1,104 @@ +package csidh + +const ( + // pbits is a bitsize of prime p + pbits = 511 + // primeCount number of Elkies primes used for constructing p + primeCount = 74 + // (2*5+1)^74 is roughly 2^256 + expMax = int8(5) + // size of the limbs, pretty much hardcoded to 64-bit words + limbBitSize = 64 + // size of the limbs in bytes + limbByteSize = limbBitSize >> 3 + // Number of limbs for a field element + numWords = 8 + // PrivateKeySize is a size of cSIDH/512 private key in bytes. + PrivateKeySize = 37 + // PublicKeySize is a size of cSIDH/512 public key in bytes. + PublicKeySize = 64 + // SharedSecretSize is a size of cSIDH/512 shared secret in bytes. + SharedSecretSize = 64 +) + +var ( + // Elkies primes up to 374 + prime 587 + // p = 4 * product(Elkies primes) - 1 + primes = [primeCount]uint64{ + 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, 0x0017, 0x001D, 0x001F, 0x0025, + 0x0029, 0x002B, 0x002F, 0x0035, 0x003B, 0x003D, 0x0043, 0x0047, 0x0049, 0x004F, 0x0053, + 0x0059, 0x0061, 0x0065, 0x0067, 0x006B, 0x006D, 0x0071, 0x007F, 0x0083, 0x0089, 0x008B, + 0x0095, 0x0097, 0x009D, 0x00A3, 0x00A7, 0x00AD, 0x00B3, 0x00B5, 0x00BF, 0x00C1, 0x00C5, + 0x00C7, 0x00D3, 0x00DF, 0x00E3, 0x00E5, 0x00E9, 0x00EF, 0x00F1, 0x00FB, 0x0101, 0x0107, + 0x010D, 0x010F, 0x0115, 0x0119, 0x011B, 0x0125, 0x0133, 0x0137, 0x0139, 0x013D, 0x014B, + 0x0151, 0x015B, 0x015D, 0x0161, 0x0167, 0x016F, 0x0175, 0x024B} + + p = fp{ + 0x1B81B90533C6C87B, 0xC2721BF457ACA835, + 0x516730CC1F0B4F25, 0xA7AAC6C567F35507, + 0x5AFBFCC69322C9CD, 0xB42D083AEDC88C42, + 0xFC8AB0D15E3E4C4A, 0x65B48E8F740F89BF, + } + + /* Montgomery R = 2^512 mod p */ + one = fp{ + 0xC8FC8DF598726F0A, 0x7B1BC81750A6AF95, + 0x5D319E67C1E961B4, 0xB0AA7275301955F1, + 0x4A080672D9BA6C64, 0x97A5EF8A246EE77B, + 0x06EA9E5D4383676A, 0x3496E2E117E0EC80, + } + + // 2 in Montgomery domain + two = fp{ + 0x767762E5FD1E1599, 0x33C5743A49A0B6F6, + 0x68FC0C0364C77443, 0xB9AA1E24F83F56DB, + 0x3914101F20520EFB, 0x7B1ED6D95B1542B4, + 0x114A8BE928C8828A, 0x03793732BBB24F40, + } + + // -2 in Montgomery domain + twoNeg = fp{ + 0xA50A561F36A8B2E2, 0x8EACA7BA0E0BF13E, + 0xE86B24C8BA43DAE2, 0xEE00A8A06FB3FE2B, + 0x21E7ECA772D0BAD1, 0x390E316192B3498E, + 0xEB4024E83575C9C0, 0x623B575CB85D3A7F, + } + + // 4 in Montgomery domain + four = fp{ + 0xECEEC5CBFA3C2B32, 0x678AE87493416DEC, + 0xD1F81806C98EE886, 0x73543C49F07EADB6, + 0x7228203E40A41DF7, 0xF63DADB2B62A8568, + 0x229517D251910514, 0x06F26E6577649E80, + } + + // 4 * sqrt(p) + fourSqrtP = fp{ + 0x17895E71E1A20B3F, 0x38D0CD95F8636A56, + 0x142B9541E59682CD, 0x856F1399D91D6592, + 0x0000000000000002, + } + + // -p^-1 mod 2^64 + pNegInv = fp{ + 0x66c1301f632e294d, + } + + // (p-1)/2. Used as exponent, hence not in + // montgomery domain + pMin1By2 = fp{ + 0x8DC0DC8299E3643D, 0xE1390DFA2BD6541A, + 0xA8B398660F85A792, 0xD3D56362B3F9AA83, + 0x2D7DFE63499164E6, 0x5A16841D76E44621, + 0xFE455868AF1F2625, 0x32DA4747BA07C4DF, + } + + // p-1 mod 2^64. Used as exponent, hence not + // in montgomery domain + pMin1 = fp{ + 0x1B81B90533C6C879, 0xC2721BF457ACA835, + 0x516730CC1F0B4F25, 0xA7AAC6C567F35507, + 0x5AFBFCC69322C9CD, 0xB42D083AEDC88C42, + 0xFC8AB0D15E3E4C4A, 0x65B48E8F740F89BF, + } +) diff --git a/src/circl/dh/csidh/csidh.go b/src/circl/dh/csidh/csidh.go new file mode 100644 index 00000000000..2869edad7dd --- /dev/null +++ b/src/circl/dh/csidh/csidh.go @@ -0,0 +1,333 @@ +package csidh + +import ( + "io" +) + +// 511-bit number representing prime field element GF(p) +type fp [numWords]uint64 + +// Represents projective point on elliptic curve E over GF(p) +type point struct { + x fp + z fp +} + +// Curve coefficients +type coeff struct { + a fp + c fp +} + +type fpRngGen struct { + // working buffer needed to avoid memory allocation + wbuf [64]byte +} + +// Defines operations on public key +type PublicKey struct { + fpRngGen + // Montgomery coefficient A from GF(p) of the elliptic curve + // y^2 = x^3 + Ax^2 + x. + a fp +} + +// Defines operations on private key +type PrivateKey struct { + fpRngGen + // private key is a set of integers randomly + // each sampled from a range [-5, 5]. + e [PrivateKeySize]int8 +} + +// randFp generates random element from Fp. +func (s *fpRngGen) randFp(v *fp, rng io.Reader) { + mask := uint64(1<<(pbits%limbBitSize)) - 1 + for { + *v = fp{} + _, err := io.ReadFull(rng, s.wbuf[:]) + if err != nil { + panic("Can't read random number") + } + + for i := 0; i < len(s.wbuf); i++ { + j := i / limbByteSize + k := uint(i % 8) + v[j] |= uint64(s.wbuf[i]) << (8 * k) + } + + v[len(v)-1] &= mask + if isLess(v, &p) { + return + } + } +} + +// cofactorMul helper implements batch cofactor multiplication as described +// in the ia.cr/2018/383 (algo. 3). Returns tuple of two booleans, first indicates +// if function has finished successfully. In case first return value is true, +// second return value indicates if curve represented by coffactor 'a' is +// supersingular. +// Implementation uses divide-and-conquer strategy and recursion in order to +// speed up calculation of Q_i = [(p+1)/l_i] * P. +// Implementation is not constant time, but it operates on public data only. +func cofactorMul(p *point, a *coeff, halfL, halfR int, order *fp) (bool, bool) { + var Q point + var r1, d1, r2, d2 bool + if (halfR - halfL) == 1 { + // base case + if !p.z.isZero() { + var tmp = fp{primes[halfL]} + xMul(p, p, a, &tmp) + + if !p.z.isZero() { + // order does not divide p+1 -> ordinary curve + return true, false + } + + mul512(order, order, primes[halfL]) + if isLess(&fourSqrtP, order) { + // order > 4*sqrt(p) -> supersingular curve + return true, true + } + } + return false, false + } + + // perform another recursive step + mid := halfL + ((halfR - halfL + 1) / 2) + var mulL, mulR = fp{1}, fp{1} + // compute u = primes_1 * ... * primes_m + for i := halfL; i < mid; i++ { + mul512(&mulR, &mulR, primes[i]) + } + // compute v = primes_m+1 * ... * primes_n + for i := mid; i < halfR; i++ { + mul512(&mulL, &mulL, primes[i]) + } + + // calculate Q_i + xMul(&Q, p, a, &mulR) + xMul(p, p, a, &mulL) + + d1, r1 = cofactorMul(&Q, a, mid, halfR, order) + d2, r2 = cofactorMul(p, a, halfL, mid, order) + return d1 || d2, r1 || r2 +} + +// groupAction evaluates group action of prv.e on a Montgomery +// curve represented by coefficient pub.A. +// This is implementation of algorithm 2 from ia.cr/2018/383. +func groupAction(pub *PublicKey, prv *PrivateKey, rng io.Reader) { + var k [2]fp + var e [2][primeCount]uint8 + var done = [2]bool{false, false} + var A = coeff{a: pub.a, c: one} + + k[0][0] = 4 + k[1][0] = 4 + + for i, v := range primes { + t := (prv.e[uint(i)>>1] << ((uint(i) % 2) * 4)) >> 4 + if t > 0 { + e[0][i] = uint8(t) + e[1][i] = 0 + mul512(&k[1], &k[1], v) + } else if t < 0 { + e[1][i] = uint8(-t) + e[0][i] = 0 + mul512(&k[0], &k[0], v) + } else { + e[0][i] = 0 + e[1][i] = 0 + mul512(&k[0], &k[0], v) + mul512(&k[1], &k[1], v) + } + } + + for { + var P point + var rhs fp + prv.randFp(&P.x, rng) + P.z = one + montEval(&rhs, &A.a, &P.x) + sign := rhs.isNonQuadRes() + + if done[sign] { + continue + } + + xMul(&P, &P, &A, &k[sign]) + done[sign] = true + + for i, v := range primes { + if e[sign][i] != 0 { + var cof = fp{1} + var K point + + for j := i + 1; j < len(primes); j++ { + if e[sign][j] != 0 { + mul512(&cof, &cof, primes[j]) + } + } + + xMul(&K, &P, &A, &cof) + if !K.z.isZero() { + xIso(&P, &A, &K, v) + e[sign][i] = e[sign][i] - 1 + if e[sign][i] == 0 { + mul512(&k[sign], &k[sign], primes[i]) + } + } + } + done[sign] = done[sign] && (e[sign][i] == 0) + } + + modExpRdc512(&A.c, &A.c, &pMin1) + mulRdc(&A.a, &A.a, &A.c) + A.c = one + + if done[0] && done[1] { + break + } + } + pub.a = A.a +} + +// PrivateKey operations + +func (c *PrivateKey) Import(key []byte) bool { + if len(key) < len(c.e) { + return false + } + for i, v := range key { + c.e[i] = int8(v) + } + return true +} + +func (c PrivateKey) Export(out []byte) bool { + if len(out) < len(c.e) { + return false + } + for i, v := range c.e { + out[i] = byte(v) + } + return true +} + +func GeneratePrivateKey(key *PrivateKey, rng io.Reader) error { + for i := range key.e { + key.e[i] = 0 + } + + for i := 0; i < len(primes); { + _, err := io.ReadFull(rng, key.wbuf[:]) + if err != nil { + return err + } + + for j := range key.wbuf { + if int8(key.wbuf[j]) <= expMax && int8(key.wbuf[j]) >= -expMax { + key.e[i>>1] |= int8((key.wbuf[j] & 0xF) << uint((i%2)*4)) + i = i + 1 + if i == len(primes) { + break + } + } + } + } + return nil +} + +// Public key operations + +// reset removes key material from PublicKey. +func (c *PublicKey) reset() { + for i := range c.a { + c.a[i] = 0 + } +} + +// Assumes key is in Montgomery domain. +func (c *PublicKey) Import(key []byte) bool { + if len(key) != numWords*limbByteSize { + return false + } + for i := 0; i < len(key); i++ { + j := i / limbByteSize + k := uint64(i % 8) + c.a[j] |= uint64(key[i]) << (8 * k) + } + return true +} + +// Assumes key is exported as encoded in Montgomery domain. +func (c *PublicKey) Export(out []byte) bool { + if len(out) != numWords*limbByteSize { + return false + } + for i := 0; i < len(out); i++ { + j := i / limbByteSize + k := uint64(i % 8) + out[i] = byte(c.a[j] >> (8 * k)) + } + return true +} + +func GeneratePublicKey(pub *PublicKey, prv *PrivateKey, rng io.Reader) { + pub.reset() + groupAction(pub, prv, rng) +} + +// Validate returns true if 'pub' is a valid cSIDH public key, +// otherwise false. +// More precisely, the function verifies that curve +// y^2 = x^3 + pub.a * x^2 + x +// is supersingular. +func Validate(pub *PublicKey, rng io.Reader) bool { + // Check if in range + if !isLess(&pub.a, &p) { + return false + } + + // Check if pub represents a smooth Montgomery curve. + if pub.a.equal(&two) || pub.a.equal(&twoNeg) { + return false + } + + // Check if pub represents a supersingular curve. + for { + var P point + var A = point{pub.a, one} + + // Randomly chosen P must have big enough order to check + // supersingularity. Probability of random P having big + // enough order is very high, as proven by W.Castryck et + // al. (ia.cr/2018/383, ch 5) + pub.randFp(&P.x, rng) + P.z = one + + xDbl(&P, &P, &A) + xDbl(&P, &P, &A) + + done, res := cofactorMul(&P, &coeff{A.x, A.z}, 0, len(primes), &fp{1}) + if done { + return res + } + } +} + +// DeriveSecret computes a cSIDH shared secret. If successful, returns true +// and fills 'out' with shared secret. Function returns false in case 'pub' is invalid. +// More precisely, shared secret is a Montgomery coefficient A of a secret +// curve y^2 = x^3 + Ax^2 + x, computed by applying action of a prv.e +// on a curve represented by pub.a. +func DeriveSecret(out *[64]byte, pub *PublicKey, prv *PrivateKey, rng io.Reader) bool { + if !Validate(pub, rng) { + return false + } + groupAction(pub, prv, rng) + pub.Export(out[:]) + return true +} diff --git a/src/circl/dh/csidh/csidh_test.go b/src/circl/dh/csidh/csidh_test.go new file mode 100644 index 00000000000..64dca365077 --- /dev/null +++ b/src/circl/dh/csidh/csidh_test.go @@ -0,0 +1,360 @@ +package csidh + +import ( + "bytes" + "crypto/rand" + "encoding/binary" + "encoding/hex" + "encoding/json" + "os" + "testing" + + . "circl/internal/test" +) + +// Possible values for "Status" +const ( + Valid = iota // Indicates that shared secret must be agreed correctly + ValidPublicKey2 // Public key 2 must succeed validation + InvalidSharedSecret // Calculated shared secret must be different than test vector + InvalidPublicKey1 // Public key 1 generated from private key must be different than test vector + InvalidPublicKey2 // Public key 2 must fail validation +) + +var StatusValues = map[int]string{ + Valid: "valid", + ValidPublicKey2: "valid_public_key2", + InvalidSharedSecret: "invalid_shared_secret", + InvalidPublicKey1: "invalid_public_key1", + InvalidPublicKey2: "invalid_public_key2", +} + +var rng = rand.Reader + +type TestVector struct { + ID int `json:"Id"` + Pk1 string `json:"Pk1"` + Pr1 string `json:"Pr1"` + Pk2 string `json:"Pk2"` + Ss string `json:"Ss"` + Status string `json:"status"` +} + +type TestVectors struct { + Vectors []TestVector `json:"Vectors"` +} + +func TestCompare64(t *testing.T) { + const s uint64 = 0xFFFFFFFFFFFFFFFF + var val1 = fp{0, 2, 3, 4, 5, 6, 7, 8} + var val2 = fp{s, s, s, s, s, s, s, s} + var fp fp + + if !fp.isZero() { + t.Errorf("isZero returned true, where it should be false") + } + if val1.isZero() { + t.Errorf("isZero returned false, where it should be true") + } + if val2.isZero() { + t.Errorf("isZero returned false, where it should be true") + } +} + +func TestEphemeralKeyExchange(t *testing.T) { + var ss1, ss2 [64]byte + var prv1, prv2 PrivateKey + var pub1, pub2 PublicKey + + prvBytes1 := []byte{0xaa, 0x54, 0xe4, 0xd4, 0xd0, 0xbd, 0xee, 0xcb, 0xf4, 0xd0, 0xc2, 0xbc, 0x52, 0x44, 0x11, 0xee, 0xe1, 0x14, 0xd2, 0x24, 0xe5, 0x0, 0xcc, 0xf5, 0xc0, 0xe1, 0x1e, 0xb3, 0x43, 0x52, 0x45, 0xbe, 0xfb, 0x54, 0xc0, 0x55, 0xb2} + prv1.Import(prvBytes1) + GeneratePublicKey(&pub1, &prv1, rng) + + CheckNoErr(t, GeneratePrivateKey(&prv2, rng), "PrivateKey generation failed") + GeneratePublicKey(&pub2, &prv2, rng) + + CheckOk( + DeriveSecret(&ss1, &pub1, &prv2, rng), + "Derivation failed", t) + CheckOk( + DeriveSecret(&ss2, &pub2, &prv1, rng), + "Derivation failed", t) + + if !bytes.Equal(ss1[:], ss2[:]) { + t.Error("ss1 != ss2") + } +} + +func TestPrivateKeyExportImport(t *testing.T) { + var buf [37]byte + for i := 0; i < numIter; i++ { + var prv1, prv2 PrivateKey + CheckNoErr(t, GeneratePrivateKey(&prv1, rng), "PrivateKey generation failed") + prv1.Export(buf[:]) + prv2.Import(buf[:]) + + for i := 0; i < len(prv1.e); i++ { + if prv1.e[i] != prv2.e[i] { + t.Error("Error occurred when public key export/import") + } + } + } +} + +func TestValidateNegative(t *testing.T) { + pk := PublicKey{a: p} + pk.a[0]++ + if Validate(&pk, rng) { + t.Error("Public key > p has been validated") + } + + pk = PublicKey{a: p} + if Validate(&pk, rng) { + t.Error("Public key == p has been validated") + } + + pk = PublicKey{a: two} + if Validate(&pk, rng) { + t.Error("Public key == 2 has been validated") + } + + pk = PublicKey{a: twoNeg} + if Validate(&pk, rng) { + t.Error("Public key == -2 has been validated") + } +} + +func TestPublicKeyExportImport(t *testing.T) { + var buf [64]byte + eq64 := func(x, y []uint64) bool { + for i := range x { + if x[i] != y[i] { + return false + } + } + return true + } + + for i := 0; i < numIter; i++ { + var prv PrivateKey + var pub1, pub2 PublicKey + CheckNoErr(t, GeneratePrivateKey(&prv, rng), "PrivateKey generation failed") + GeneratePublicKey(&pub1, &prv, rng) + + pub1.Export(buf[:]) + pub2.Import(buf[:]) + + if !eq64(pub1.a[:], pub2.a[:]) { + t.Error("Error occurred when public key export/import") + } + } +} + +// Test vectors generated by reference implementation. +func TestKAT(t *testing.T) { + var tests TestVectors + // Helper checks if e==true and reports an error if not. + checkExpr := func(e bool, vec *TestVector, t *testing.T, msg string) { + t.Helper() + if !e { + t.Errorf("[Test ID=%d] "+msg, vec.ID) + } + } + // checkSharedSecret implements nominal case - imports asymmetric keys for + // both parties, derives secret key and compares it to value in test vector. + // Comparison must succeed in case status is "Valid" in any other case + // it must fail. + checkSharedSecret := func(vec *TestVector, t *testing.T, status int) { + var prv1 PrivateKey + var pub1, pub2 PublicKey + var ss [SharedSecretSize]byte + + prBuf, err := hex.DecodeString(vec.Pr1) + if err != nil { + t.Fatal(err) + } + checkExpr(prv1.Import(prBuf[:]), vec, t, "PrivateKey wrong") + pkBuf, err := hex.DecodeString(vec.Pk1) + if err != nil { + t.Fatal(err) + } + checkExpr(pub1.Import(pkBuf[:]), vec, t, "PublicKey 1 wrong") + pkBuf, err = hex.DecodeString(vec.Pk2) + if err != nil { + t.Fatal(err) + } + checkExpr(pub2.Import(pkBuf[:]), vec, t, "PublicKey 2 wrong") + checkExpr(DeriveSecret(&ss, &pub2, &prv1, rng), vec, t, "Error when deriving key") + ssExp, err := hex.DecodeString(vec.Ss) + if err != nil { + t.Fatal(err) + } + checkExpr(bytes.Equal(ss[:], ssExp) == (status == Valid), vec, t, "Unexpected value of shared secret") + } + // checkPublicKey1 imports public and private key for one party A + // and tries to generate public key for a private key. After that + // it compares generated key to a key from test vector. Comparison + // must fail. + checkPublicKey1 := func(vec *TestVector, t *testing.T) { + var prv PrivateKey + var pub PublicKey + var pubBytesGot [PublicKeySize]byte + + prBuf, err := hex.DecodeString(vec.Pr1) + if err != nil { + t.Fatal(err) + } + + pubBytesExp, err := hex.DecodeString(vec.Pk1) + if err != nil { + t.Fatal(err) + } + + checkExpr( + prv.Import(prBuf[:]), + vec, t, "PrivateKey wrong") + + // Generate public key + CheckNoErr(t, GeneratePrivateKey(&prv, rng), "PrivateKey generation failed") + pub.Export(pubBytesGot[:]) + + // pubBytesGot must be different than pubBytesExp + checkExpr( + !bytes.Equal(pubBytesGot[:], pubBytesExp), + vec, t, "Public key generated is the same as public key from the test vector") + } + // checkPublicKey2 the goal is to test key validation. Test tries to + // import public key for B and ensure that import succeeds in case + // status is "Valid" and fails otherwise. + checkPublicKey2 := func(vec *TestVector, t *testing.T, status int) { + var pub PublicKey + pubBytesExp, err := hex.DecodeString(vec.Pk2) + if err != nil { + t.Fatal(err) + } + // Import validates an input, so it must fail + pub.Import(pubBytesExp[:]) + checkExpr( + Validate(&pub, rng) == (status == Valid || status == ValidPublicKey2), + vec, t, "PublicKey has been validated correctly") + } + // Load test data + file, err := os.Open(katFile) + if err != nil { + t.Fatal(err.Error()) + } + err = json.NewDecoder(file).Decode(&tests) + if err != nil { + t.Fatal(err.Error()) + } + // Loop over numIter test cases + // The algorithm is relatively slow, so it tests a smaller number. + N := len(tests.Vectors) + var buf [2]byte + for i := 0; i < numIter; i++ { + _, _ = rand.Read(buf[:]) + idx := binary.LittleEndian.Uint16(buf[:]) % uint16(N) + test := tests.Vectors[idx] + switch test.Status { + case StatusValues[Valid]: + checkSharedSecret(&test, t, Valid) + checkPublicKey2(&test, t, Valid) + case StatusValues[InvalidSharedSecret]: + checkSharedSecret(&test, t, InvalidSharedSecret) + case StatusValues[InvalidPublicKey1]: + checkPublicKey1(&test, t) + case StatusValues[InvalidPublicKey2]: + checkPublicKey2(&test, t, InvalidPublicKey2) + case StatusValues[InvalidPublicKey2]: + checkPublicKey2(&test, t, InvalidPublicKey2) + case StatusValues[ValidPublicKey2]: + checkPublicKey2(&test, t, ValidPublicKey2) + } + } +} + +var prv1, prv2 PrivateKey +var pub1, pub2 PublicKey + +// Private key generation. +func BenchmarkGeneratePrivate(b *testing.B) { + for n := 0; n < b.N; n++ { + _ = GeneratePrivateKey(&prv1, rng) + } +} + +// Public key generation from private (group action on empty key). +func BenchmarkGenerateKeyPair(b *testing.B) { + for n := 0; n < b.N; n++ { + var pub PublicKey + _ = GeneratePrivateKey(&prv1, rng) + GeneratePublicKey(&pub, &prv1, rng) + } +} + +// Benchmark validation on same key multiple times. +func BenchmarkValidate(b *testing.B) { + prvBytes := []byte{0xaa, 0x54, 0xe4, 0xd4, 0xd0, 0xbd, 0xee, 0xcb, 0xf4, 0xd0, 0xc2, 0xbc, 0x52, 0x44, 0x11, 0xee, 0xe1, 0x14, 0xd2, 0x24, 0xe5, 0x0, 0xcc, 0xf5, 0xc0, 0xe1, 0x1e, 0xb3, 0x43, 0x52, 0x45, 0xbe, 0xfb, 0x54, 0xc0, 0x55, 0xb2} + prv1.Import(prvBytes) + + var pub PublicKey + GeneratePublicKey(&pub, &prv1, rng) + + for n := 0; n < b.N; n++ { + Validate(&pub, rng) + } +} + +// Benchmark validation on random (most probably wrong) key. +func BenchmarkValidateRandom(b *testing.B) { + var tmp [64]byte + var pub PublicKey + + // Initialize seed + for n := 0; n < b.N; n++ { + if _, err := rng.Read(tmp[:]); err != nil { + b.FailNow() + } + pub.Import(tmp[:]) + } +} + +// Benchmark validation on different keys. +func BenchmarkValidateGenerated(b *testing.B) { + for n := 0; n < b.N; n++ { + _ = GeneratePrivateKey(&prv1, rng) + GeneratePublicKey(&pub1, &prv1, rng) + Validate(&pub1, rng) + } +} + +// Generate some keys and benchmark derive. +func BenchmarkDerive(b *testing.B) { + var ss [64]byte + + _ = GeneratePrivateKey(&prv1, rng) + GeneratePublicKey(&pub1, &prv1, rng) + + _ = GeneratePrivateKey(&prv2, rng) + GeneratePublicKey(&pub2, &prv2, rng) + + b.ResetTimer() + for n := 0; n < b.N; n++ { + DeriveSecret(&ss, &pub2, &prv1, rng) + } +} + +// Benchmarks both - key generation and derivation. +func BenchmarkDeriveGenerated(b *testing.B) { + var ss [64]byte + + for n := 0; n < b.N; n++ { + _ = GeneratePrivateKey(&prv1, rng) + GeneratePublicKey(&pub1, &prv1, rng) + + _ = GeneratePrivateKey(&prv2, rng) + GeneratePublicKey(&pub2, &prv2, rng) + + DeriveSecret(&ss, &pub2, &prv1, rng) + } +} diff --git a/src/circl/dh/csidh/curve.go b/src/circl/dh/csidh/curve.go new file mode 100644 index 00000000000..2208726e688 --- /dev/null +++ b/src/circl/dh/csidh/curve.go @@ -0,0 +1,212 @@ +package csidh + +// xAdd implements differential arithmetic in P^1 for Montgomery +// curves E(x): x^3 + A*x^2 + x by using x-coordinate only arithmetic. +// x(PaQ) = x(P) + x(Q) by using x(P-Q) +// This algorithms is correctly defined only for cases when +// P!=inf, Q!=inf, P!=Q and P!=-Q. +func xAdd(PaQ, P, Q, PdQ *point) { + var t0, t1, t2, t3 fp + addRdc(&t0, &P.x, &P.z) + subRdc(&t1, &P.x, &P.z) + addRdc(&t2, &Q.x, &Q.z) + subRdc(&t3, &Q.x, &Q.z) + mulRdc(&t0, &t0, &t3) + mulRdc(&t1, &t1, &t2) + addRdc(&t2, &t0, &t1) + subRdc(&t3, &t0, &t1) + mulRdc(&t2, &t2, &t2) // sqr + mulRdc(&t3, &t3, &t3) // sqr + mulRdc(&PaQ.x, &PdQ.z, &t2) + mulRdc(&PaQ.z, &PdQ.x, &t3) +} + +// xDbl implements point doubling on a Montgomery curve +// E(x): x^3 + A*x^2 + x by using x-coordinate onlyh arithmetic. +// x(Q) = [2]*x(P) +// It is correctly defined for all P != inf. +func xDbl(Q, P, A *point) { + var t0, t1, t2 fp + addRdc(&t0, &P.x, &P.z) + mulRdc(&t0, &t0, &t0) // sqr + subRdc(&t1, &P.x, &P.z) + mulRdc(&t1, &t1, &t1) // sqr + subRdc(&t2, &t0, &t1) + mulRdc(&t1, &four, &t1) + mulRdc(&t1, &t1, &A.z) + mulRdc(&Q.x, &t0, &t1) + addRdc(&t0, &A.z, &A.z) + addRdc(&t0, &t0, &A.x) + mulRdc(&t0, &t0, &t2) + addRdc(&t0, &t0, &t1) + mulRdc(&Q.z, &t0, &t2) +} + +// xDblAdd implements combined doubling of point P +// and addition of points P and Q on a Montgomery curve +// E(x): x^3 + A*x^2 + x by using x-coordinate onlyh arithmetic. +// x(PaP) = x(2*P) +// x(PaQ) = x(P+Q) +func xDblAdd(PaP, PaQ, P, Q, PdQ *point, A24 *coeff) { + var t0, t1, t2 fp + + addRdc(&t0, &P.x, &P.z) + subRdc(&t1, &P.x, &P.z) + mulRdc(&PaP.x, &t0, &t0) + subRdc(&t2, &Q.x, &Q.z) + addRdc(&PaQ.x, &Q.x, &Q.z) + mulRdc(&t0, &t0, &t2) + mulRdc(&PaP.z, &t1, &t1) + mulRdc(&t1, &t1, &PaQ.x) + subRdc(&t2, &PaP.x, &PaP.z) + mulRdc(&PaP.z, &PaP.z, &A24.c) + mulRdc(&PaP.x, &PaP.x, &PaP.z) + mulRdc(&PaQ.x, &A24.a, &t2) + subRdc(&PaQ.z, &t0, &t1) + addRdc(&PaP.z, &PaP.z, &PaQ.x) + addRdc(&PaQ.x, &t0, &t1) + mulRdc(&PaP.z, &PaP.z, &t2) + mulRdc(&PaQ.z, &PaQ.z, &PaQ.z) + mulRdc(&PaQ.x, &PaQ.x, &PaQ.x) + mulRdc(&PaQ.z, &PaQ.z, &PdQ.x) + mulRdc(&PaQ.x, &PaQ.x, &PdQ.z) +} + +// cswappoint swaps P1 with P2 in constant time. The 'choice' +// parameter must have a value of either 1 (results +// in swap) or 0 (results in no-swap). +func cswappoint(P1, P2 *point, choice uint8) { + cswap512(&P1.x, &P2.x, choice) + cswap512(&P1.z, &P2.z, choice) +} + +// xMul implements point multiplication with left-to-right Montgomery +// adder. co is A coefficient of x^3 + A*x^2 + x curve. k must be > 0 +// +// Non-constant time! +func xMul(kP, P *point, co *coeff, k *fp) { + var A24 coeff + var Q point + var j uint + var A = point{x: co.a, z: co.c} + var R = *P + + // Precompyte A24 = (A+2C:4C) => (A24.x = A.x+2A.z; A24.z = 4*A.z) + addRdc(&A24.a, &co.c, &co.c) + addRdc(&A24.a, &A24.a, &co.a) + mulRdc(&A24.c, &co.c, &four) + + // Skip initial 0 bits. + for j = 511; j > 0; j-- { + // performance hit from making it constant-time is actually + // quite big, so... unsafe branch for now + if uint8(k[j>>6]>>(j&63)&1) != 0 { + break + } + } + + xDbl(&Q, P, &A) + prevBit := uint8(1) + for i := j; i > 0; { + i-- + bit := uint8(k[i>>6] >> (i & 63) & 1) + cswappoint(&Q, &R, prevBit^bit) + xDblAdd(&Q, &R, &Q, &R, P, &A24) + prevBit = bit + } + cswappoint(&Q, &R, uint8(k[0]&1)) + *kP = Q +} + +// xIso computes the isogeny with kernel point kern of a given order +// kernOrder. Returns the new curve coefficient co and the image img. +// +// During computation function switches between Montgomery and twisted +// Edwards curves in order to compute image curve parameters faster. +// This technique is described by Meyer and Reith in ia.cr/2018/782. +// +// Non-constant time. +func xIso(img *point, co *coeff, kern *point, kernOrder uint64) { + var t0, t1, t2, S, D fp + var Q, prod point + var coEd coeff + var M = [3]point{*kern} + + // Compute twisted Edwards coefficients + // coEd.a = co.a + 2*co.c + // coEd.c = co.a - 2*co.c + // coEd.a*X^2 + Y^2 = 1 + coEd.c*X^2*Y^2 + addRdc(&coEd.c, &co.c, &co.c) + addRdc(&coEd.a, &co.a, &coEd.c) + subRdc(&coEd.c, &co.a, &coEd.c) + + // Transfer point to twisted Edwards YZ-coordinates + // (X:Z)->(Y:Z) = (X-Z : X+Z) + addRdc(&S, &img.x, &img.z) + subRdc(&D, &img.x, &img.z) + + subRdc(&prod.x, &kern.x, &kern.z) + addRdc(&prod.z, &kern.x, &kern.z) + + mulRdc(&t1, &prod.x, &S) + mulRdc(&t0, &prod.z, &D) + addRdc(&Q.x, &t0, &t1) + subRdc(&Q.z, &t0, &t1) + + xDbl(&M[1], kern, &point{x: co.a, z: co.c}) + + // NOTE: Not constant time. + for i := uint64(1); i < kernOrder>>1; i++ { + if i >= 2 { + xAdd(&M[i%3], &M[(i-1)%3], kern, &M[(i-2)%3]) + } + subRdc(&t1, &M[i%3].x, &M[i%3].z) + addRdc(&t0, &M[i%3].x, &M[i%3].z) + mulRdc(&prod.x, &prod.x, &t1) + mulRdc(&prod.z, &prod.z, &t0) + mulRdc(&t1, &t1, &S) + mulRdc(&t0, &t0, &D) + addRdc(&t2, &t0, &t1) + mulRdc(&Q.x, &Q.x, &t2) + subRdc(&t2, &t0, &t1) + mulRdc(&Q.z, &Q.z, &t2) + } + + mulRdc(&Q.x, &Q.x, &Q.x) + mulRdc(&Q.z, &Q.z, &Q.z) + mulRdc(&img.x, &img.x, &Q.x) + mulRdc(&img.z, &img.z, &Q.z) + + // coEd.a^kernOrder and coEd.c^kernOrder + modExpRdc64(&coEd.a, &coEd.a, kernOrder) + modExpRdc64(&coEd.c, &coEd.c, kernOrder) + + // prod^8 + mulRdc(&prod.x, &prod.x, &prod.x) + mulRdc(&prod.x, &prod.x, &prod.x) + mulRdc(&prod.x, &prod.x, &prod.x) + mulRdc(&prod.z, &prod.z, &prod.z) + mulRdc(&prod.z, &prod.z, &prod.z) + mulRdc(&prod.z, &prod.z, &prod.z) + + // Compute image curve params + mulRdc(&coEd.c, &coEd.c, &prod.x) + mulRdc(&coEd.a, &coEd.a, &prod.z) + + // Convert curve coefficients back to Montgomery + addRdc(&co.a, &coEd.a, &coEd.c) + subRdc(&co.c, &coEd.a, &coEd.c) + addRdc(&co.a, &co.a, &co.a) +} + +// montEval evaluates x^3 + Ax^2 + x. +func montEval(res, A, x *fp) { + var t fp + + *res = *x + mulRdc(res, res, res) + mulRdc(&t, A, x) + addRdc(res, res, &t) + addRdc(res, res, &one) + mulRdc(res, res, x) +} diff --git a/src/circl/dh/csidh/curve_test.go b/src/circl/dh/csidh/curve_test.go new file mode 100644 index 00000000000..e933e794407 --- /dev/null +++ b/src/circl/dh/csidh/curve_test.go @@ -0,0 +1,371 @@ +package csidh + +import ( + "math/big" + "testing" +) + +// Actual test implementation. +func TestXAdd(t *testing.T) { + var P, Q, PdQ point + var PaQ point + var expPaQ big.Int + + // points from a Elliptic Curve defined in sage as follows: + // A = 0x6055947AAFEBF773CE912680A6A32656073233D2FD6FDF4A143BE82D25B44ECC0431DE564C0F0D6591ACC62D6876E86F5D06B68C9EAF20D0DB0A6B99ED558512 + // E = EllipticCurve(GF(p), [0, A, 0, 1, 0]) + // where p is CSIDH's 511-bit prime + + checkXAdd := func() { + xAdd(&PaQ, &P, &Q, &PdQ) + ret := toNormX(&PaQ) + if ret.Cmp(&expPaQ) != 0 { + t.Errorf("\nExp: %s\nGot: %s", expPaQ.Text(16), ret.Text(16)) + } + } + + expPaQ.SetString("0x41C98C5D7FF118B1A3987733581FD69C0CC27D7B63BCCA525106B9945869C6DAEDAA3D5D9D2679237EF0D013BE68EF12731DBFB26E12576BAD1E824C67ABD125", 0) + P.x = toFp("0x5840FD8E0165F7F474260F99337461AF195233F791FABE735EC2634B74A95559568B4CEB23959C8A01C5C57E215D22639868ED840D74FE2BAC04830CF75047AD") + P.z = toFp("1") + Q.x = toFp("0x3C1A003C71436698B4A181CEB12BA4B4D1FF7BB14AAAF6FBDA6957C4EBA20AD8E3893DF6F64E67E81163E024C19C7E975F3EC61862F75502C3ED802370E75A3F") + Q.z = toFp("1") + PdQ.x = toFp("0x519B1928F752B0B2143C1C23EB247B370DBB5B9C29B9A3A064D7FBC1B67FAC34B6D3DDA0F3CB87C387B425B36F31B93A8E73252BA701927B767A9DE89D5A92AE") + PdQ.z = toFp("1") + checkXAdd() + + expPaQ.SetString("0x5840FD8E0165F7F474260F99337461AF195233F791FABE735EC2634B74A95559568B4CEB23959C8A01C5C57E215D22639868ED840D74FE2BAC04830CF75047AD", 0) + P.x = toFp("0x5840FD8E0165F7F474260F99337461AF195233F791FABE735EC2634B74A95559568B4CEB23959C8A01C5C57E215D22639868ED840D74FE2BAC04830CF75047AD") + P.z = toFp("1") + Q.x = toFp("1") + Q.z = toFp("0x0") + PdQ.x = toFp(expPaQ.Text(10)) + PdQ.z = toFp("1") + checkXAdd() +} + +func TestXDbl(t *testing.T) { + var P, A point + var PaP point + var expPaP big.Int + + // points from a Elliptic Curve defined in sage as follows: + // A = 0x599841D7D1FCD92A85759B7A3D2D5E4C56EFB17F19F86EB70E121EA16305EDE45A55868BE069313F821F7D94069EC220A4AC3B85500376710538246E9B3BC138 + // E = EllipticCurve(GF(p), [0, A, 0, 1, 0]) + // where p is CSIDH's 511-bit prime + + expPaP.SetString("0x6115B5D8BB613D11BDFEA70D436D87C1515553F6A15061727B4001E0AF745AAA9F39EB9464982829D931F77DAB9D71B24FF0D1D34C347F2A51FD45821F2EA06F", 0) + P.x = toFp("0x6C5B4D4AB0765AAB23C10F8455BE522D3A5363324D7AD641CC67C0A52FC1FFE9F3F8EDFE641478CA93D4D0016D83F21487FD4AF4E02F8A2C237CF27C5604BCC") + P.z = toFp("1") + A.x = toFp("0x599841D7D1FCD92A85759B7A3D2D5E4C56EFB17F19F86EB70E121EA16305EDE45A55868BE069313F821F7D94069EC220A4AC3B85500376710538246E9B3BC138") + A.z = toFp("1") + + xDbl(&PaP, &P, &A) + ret := toNormX(&PaP) + if ret.Cmp(&expPaP) != 0 { + t.Errorf("\nExp: %s\nGot: %s", expPaP.Text(16), ret.Text(16)) + } +} + +func TestXDblAddNominal(t *testing.T) { + var P, Q, PdQ point + var PaP, PaQ point + var expPaP, expPaQ big.Int + var A coeff + + checkXDblAdd := func() { + var A24 coeff + + // A24.a = 2*A.z + A.a + addRdc(&A24.a, &A.c, &A.c) + addRdc(&A24.a, &A24.a, &A.a) + // A24.z = 4*A.z + mulRdc(&A24.c, &A.c, &four) + + // Additionally will check if input can be same as output + PaP = P + PaQ = Q + + xDblAdd(&PaP, &PaQ, &PaP, &PaQ, &PdQ, &A24) + retPaP := toNormX(&PaP) + retPaQ := toNormX(&PaQ) + if retPaP.Cmp(&expPaP) != 0 { + t.Errorf("\nExp: %s\nGot: %s", expPaP.Text(16), retPaP.Text(16)) + } + + if retPaQ.Cmp(&expPaQ) != 0 { + t.Errorf("\nExp: %s\nGot: %s", expPaQ.Text(16), retPaQ.Text(16)) + } + } + + // 2*P + expPaP.SetString("0x38F5B37271A3D8FA50107F88045D6F6B08355DD026C02E0306CE5875F47422736AD841B4122B2BD7DE6166BB6498F6A283378FF8250948E834F15CEA2D59A57B", 0) + // P+Q + expPaQ.SetString("0x53D9B44C5F61651612243CF7987F619FE6ACB5CF29538F96A63E7278E131F41A17D64388E31B028A5183EF9096AE82724BC34D8DDFD67AD68BD552A33C345B8C", 0) + P.x = toFp("0x4FE17B4CC66E85960F57033CD45996C99248DA09DF2E36F8840657B52F74ED8173E0D322FA57D7B4D0EE7F12967BBD59140B42F2626E29167D6419E851E5A4C9") + P.z = toFp("1") + Q.x = toFp("0x465047949CD6574FDBE00EA365CAF7A95DC9DEBE96A188823CA8C9DD9F527CF81290D49864F61DF0C08C1D6052139230735CA6CFDBDC1A8820610CCD71861176") + Q.z = toFp("1") + PdQ.x = toFp("0x49D3B999A0A020B34473568A8F75B5405F2D3BE5A006595015FC6DDC6BED8AB2A51A887B6DC62C64354466865FFD69E50AD37F6F4FBD74119EB65EBC9367B556") + PdQ.z = toFp("1") + A.a = toFp("0x118F955D498D902FD42E5B2926F297CC814CD7649EC5B070295622F97C4A0D9BD34058A7E0E00CB73ED32FCC237F9F6B7D2A15F5CC7C4EC61ECEF80ACBB0EFA4") + A.c = toFp("1") + checkXDblAdd() + + // Case P=value, Q=(x=1, z=0). In this case PaQ==P; PaP=2*P + expPaP.SetString("0x38F5B37271A3D8FA50107F88045D6F6B08355DD026C02E0306CE5875F47422736AD841B4122B2BD7DE6166BB6498F6A283378FF8250948E834F15CEA2D59A57B", 0) + expPaQ.SetString("0x4FE17B4CC66E85960F57033CD45996C99248DA09DF2E36F8840657B52F74ED8173E0D322FA57D7B4D0EE7F12967BBD59140B42F2626E29167D6419E851E5A4C9", 0) + P.x = toFp("0x4FE17B4CC66E85960F57033CD45996C99248DA09DF2E36F8840657B52F74ED8173E0D322FA57D7B4D0EE7F12967BBD59140B42F2626E29167D6419E851E5A4C9") + P.z = toFp("1") + Q.x = toFp("1") + Q.z = toFp("0") + PdQ.x = toFp("0x4FE17B4CC66E85960F57033CD45996C99248DA09DF2E36F8840657B52F74ED8173E0D322FA57D7B4D0EE7F12967BBD59140B42F2626E29167D6419E851E5A4C9") + PdQ.z = toFp("1") + A.a = toFp("0x118F955D498D902FD42E5B2926F297CC814CD7649EC5B070295622F97C4A0D9BD34058A7E0E00CB73ED32FCC237F9F6B7D2A15F5CC7C4EC61ECEF80ACBB0EFA4") + A.c = toFp("1") + checkXDblAdd() +} + +func TestXDblAddVSxDblxAdd(t *testing.T) { + var P, Q, PdQ point + var PaP1, PaQ1 point + var PaP2, PaQ2 point + var A point + var A24 coeff + + P.x = toFp("0x4FE17B4CC66E85960F57033CD45996C99248DA09DF2E36F8840657B52F74ED8173E0D322FA57D7B4D0EE7F12967BBD59140B42F2626E29167D6419E851E5A4C9") + P.z = toFp("1") + Q.x = toFp("0x465047949CD6574FDBE00EA365CAF7A95DC9DEBE96A188823CA8C9DD9F527CF81290D49864F61DF0C08C1D6052139230735CA6CFDBDC1A8820610CCD71861176") + Q.z = toFp("1") + PdQ.x = toFp("0x49D3B999A0A020B34473568A8F75B5405F2D3BE5A006595015FC6DDC6BED8AB2A51A887B6DC62C64354466865FFD69E50AD37F6F4FBD74119EB65EBC9367B556") + PdQ.z = toFp("1") + A.x = toFp("0x118F955D498D902FD42E5B2926F297CC814CD7649EC5B070295622F97C4A0D9BD34058A7E0E00CB73ED32FCC237F9F6B7D2A15F5CC7C4EC61ECEF80ACBB0EFA4") + A.z = toFp("1") + + // Precompute A24 for xDblAdd + // (A+2C:4C) => (A24.x = A.x+2A.z; A24.z = 4*A.z) + addRdc(&A24.a, &A.z, &A.z) + addRdc(&A24.a, &A24.a, &A.x) + mulRdc(&A24.c, &A.z, &four) + + for i := 0; i < numIter; i++ { + xAdd(&PaQ2, &P, &Q, &PdQ) + xDbl(&PaP2, &P, &A) + xDblAdd(&PaP1, &PaQ1, &P, &Q, &PdQ, &A24) + + if !ceqpoint(&PaQ1, &PaQ2) { + exp := toNormX(&PaQ1) + got := toNormX(&PaQ2) + t.Errorf("\nExp: \n\t%s\nGot from xAdd: \n\t%s", exp.Text(16), got.Text(16)) + } + + if !ceqpoint(&PaP1, &PaP2) { + exp := toNormX(&PaP1) + got := toNormX(&PaP2) + t.Errorf("\nExp: \n\t%s\nGot from xDbl: \n\t%s", exp.Text(16), got.Text(16)) + } + + // Swap values for next operation + PdQ = Q + Q = P + P = PaP1 + } +} + +func TestXMul(t *testing.T) { + var P point + var co coeff + var expKP big.Int + var k fp + + checkXMul := func() { + var kP point + + xMul(&kP, &P, &co, &k) + retKP := toNormX(&kP) + if expKP.Cmp(&retKP) != 0 { + t.Errorf("\nExp: %s\nGot: %s", expKP.Text(16), retKP.Text(16)) + } + + // Check if first and second argument can overlap + xMul(&P, &P, &co, &k) + retKP = toNormX(&P) + if expKP.Cmp(&retKP) != 0 { + t.Errorf("\nExp: %s\nGot: %s", expKP.Text(16), retKP.Text(16)) + } + } + + // Case C=1 + expKP.SetString("0x582B866603E6FBEBD21FE660FB34EF9466FDEC55FFBCE1073134CC557071147821BBAD225E30F7B2B6790B00ED9C39A29AA043F58AF995E440AFB13DA8E6D788", 0) + P.x = toFp("0x1C5CA539C1D5B52DE4750C390C24C05251E8B1D33E48971FA86F5ADDED2D06C8CD31E94887541468BB2925EBD693C9DDFF5BD9508430F25FE28EE30C0760C0FE") + P.z = toFp("1") + co.a = toFp("0x538F785D52996919C8D5C73D842A0249669B5B6BB05338B74EAE8094AE5009A3BA2D73730F527D7403E8184D9B1FA11C0C4C40E7B328A84874A6DBCE99E1DF92") + co.c = toFp("1") + k = fp{0x7A36C930A83EFBD5, 0xD0E80041ED0DDF9F, 0x5AA17134F1B8F877, 0x975711EC94168E51, 0xB3CAD962BED4BAC5, 0x3026DFDD7E4F5687, 0xE67F91AB8EC9C3AF, 0x34671D3FD8C317E7} + checkXMul() + + // Check if algorithms works correctly with k=1 + expKP.SetString("0x1C5CA539C1D5B52DE4750C390C24C05251E8B1D33E48971FA86F5ADDED2D06C8CD31E94887541468BB2925EBD693C9DDFF5BD9508430F25FE28EE30C0760C0FE", 0) + P.x = toFp("0x1C5CA539C1D5B52DE4750C390C24C05251E8B1D33E48971FA86F5ADDED2D06C8CD31E94887541468BB2925EBD693C9DDFF5BD9508430F25FE28EE30C0760C0FE") + P.z = toFp("1") + co.a = toFp("0x538F785D52996919C8D5C73D842A0249669B5B6BB05338B74EAE8094AE5009A3BA2D73730F527D7403E8184D9B1FA11C0C4C40E7B328A84874A6DBCE99E1DF92") + co.c = toFp("1") + k = fp{1, 0, 0, 0, 0, 0, 0, 0} + checkXMul() + + // Check if algorithms works correctly with value of k for which few small and high + // order bits are 0 (test for odd number of cswaps in xMul) + expKP.SetString("0x1925EDA0928C10F427B4E642E7E1481A670D1249956DED6A2292B9BAB841F6AA86A9F41459400845ED4A5E2531A14165F64FE4E43DBD85321B429C6DAE2E8987", 0) + P.x = toFp("0x4CE8603817B9BB06515E921AA201D26B31F3CE181D1E18CD5CD704708CCAD47546CEEAB42B98EE67925A5259E0684A0489F574A999DE127F708B849ACAA12A63") + P.z = toFp("1") + co.a = toFp("0x538F785D52996919C8D5C73D842A0249669B5B6BB05338B74EAE8094AE5009A3BA2D73730F527D7403E8184D9B1FA11C0C4C40E7B328A84874A6DBCE99E1DF92") + co.c = toFp("1") + k = fp{0, 7, 0, 0, 0, 0, 0, 0} + checkXMul() + + // Check if algorithms works correctly with value of k for which few small and high + // order bits are 0 (test for even number of cswaps in xMul) + expKP.SetString("0x30C02915C5967C3B6EB2196A934ADF38A183E9C7E814B54121F93048A8FC12D5036992FABF8D807581017A4C1F93D07352413F38F6A902FC76A8894FE8D94805", 0) + P.x = toFp("0x2DDD15ED7C169BE6D9EC02CFE3DC507EC4A7A4D96DE3FAAB9BFCEA1B047807EA301E89830F2FDD0E7E642A85E7ACDE16BAD76DF140F719C4A7AB85153E7D69DC") + P.z = toFp("1") + co.a = toFp("0x538F785D52996919C8D5C73D842A0249669B5B6BB05338B74EAE8094AE5009A3BA2D73730F527D7403E8184D9B1FA11C0C4C40E7B328A84874A6DBCE99E1DF92") + co.c = toFp("1") + k = fp{0, 15, 0, 0, 0, 0, 0, 0} + checkXMul() + + // xMul512 does NOT work correctly for k==0. In such case function will return 2*P. But + // thanks to that fact we don't need to handle k==0 case, we get some speedup. + expKP.SetString("0x6115B5D8BB613D11BDFEA70D436D87C1515553F6A15061727B4001E0AF745AAA9F39EB9464982829D931F77DAB9D71B24FF0D1D34C347F2A51FD45821F2EA06F", 0) + P.x = toFp("0x6C5B4D4AB0765AAB23C10F8455BE522D3A5363324D7AD641CC67C0A52FC1FFE9F3F8EDFE641478CA93D4D0016D83F21487FD4AF4E02F8A2C237CF27C5604BCC") + P.z = toFp("1") + co.a = toFp("0x599841D7D1FCD92A85759B7A3D2D5E4C56EFB17F19F86EB70E121EA16305EDE45A55868BE069313F821F7D94069EC220A4AC3B85500376710538246E9B3BC138") + co.c = toFp("1") + k = fp{0, 0, 0, 0, 0, 0, 0, 0} + checkXMul() +} + +func TestMappointHardcoded3(t *testing.T) { + var P = point{ + x: fp{0xca1a2fdec38c669b, 0xf2fe3678ebeb978b, 0xfda3e9a6f0c719d, 0x6f7bffa41772570b, 0x3d90cdd6283dc150, 0x21b55b738eb1ded9, 0x209515d0a9f41dd6, 0x5275cf397d154a12}, + z: fp{0x1fff8309761576e, 0xef239cbeda7c2ba1, 0x6136ae2d76e95873, 0x1f8f6ac909570cec, 0x780fdf0cc7d676d8, 0x548098fe92ed04e1, 0xb39da564701ef35d, 0x5fec19626df41306}} + var A = coeff{ + a: fp{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0}, + c: fp{0xc8fc8df598726f0a, 0x7b1bc81750a6af95, 0x5d319e67c1e961b4, 0xb0aa7275301955f1, 0x4a080672d9ba6c64, 0x97a5ef8a246ee77b, 0x6ea9e5d4383676a, 0x3496e2e117e0ec80}} + var K = point{ + x: fp{0x597616608e291c6f, 0xd14230b008736798, 0xa63099b1ace67e6e, 0xe37c13afd768bcfa, 0xc6ef718894f08135, 0x53a4fd09091f3522, 0xc9a1f9f670645fe1, 0x628c4a8efd83e5f0}, + z: fp{0x8f18a654312ac1ad, 0xbc20a9b2472785c9, 0xdaf97c29bbf9e492, 0xf91a8c799e2f6119, 0xc8dc675cc8e528e6, 0x9a7b2c2f0df95171, 0x85629cd38cdd9fdb, 0x656d5253d3fd1a6e}} + var k uint64 = 3 + + var expA = coeff{ + a: fp{0x6fa92a66e77cfc1, 0x9efbfb7118f1832c, 0x441894cc5d1d24ae, 0x5a2f0fafa26761de, 0x8095c36d3a20a78a, 0xb22be0023612a135, 0x5eb844d06ef0f430, 0x52e53309d1c90cf8}, + c: fp{0x98173d5664a23e5c, 0xd8fe1c6306bbc11a, 0xa774fbc502648059, 0x766a0d839aa62c83, 0x4b074f9b93d1633d, 0xf306019dbf87f505, 0x77c720ca059234b0, 0x3d47ab65269c5908}} + var expP = point{ + x: fp{0x91aba9b39f280495, 0xfbd8ea69d2990aeb, 0xb03e1b8ed7fe3dba, 0x3d30a41499f08998, 0xb15a42630de9c606, 0xa7dd487fef16f5c8, 0x8673948afed8e968, 0x57ecc8710004cd4d}, + z: fp{0xce8819869a942526, 0xb98ca2ff79ef8969, 0xd49c9703743a1812, 0x21dbb090f9152e03, 0xbabdcac831b1adea, 0x8cee90762baa2ddd, 0xa0dd2ddcef809d96, 0x1de2a8887a32f19b}} + xIso(&P, &A, &K, k) + if !eqFp(&P.x, &expP.x) || !eqFp(&P.z, &expP.z) { + normP := toNormX(&P) + normPExp := toNormX(&expP) + t.Errorf("P != expP [\n %s != %s\n]", normP.Text(16), normPExp.Text(16)) + } + if !eqFp(&A.a, &expA.a) || !eqFp(&A.c, &expA.c) { + t.Errorf("A != expA %X %X", A.a[0], expA.a[0]) + } +} + +func TestMappointHardcoded5(t *testing.T) { + var P = point{ + x: fp{0xca1a2fdec38c669b, 0xf2fe3678ebeb978b, 0xfda3e9a6f0c719d, 0x6f7bffa41772570b, 0x3d90cdd6283dc150, 0x21b55b738eb1ded9, 0x209515d0a9f41dd6, 0x5275cf397d154a12}, + z: fp{0x1fff8309761576e, 0xef239cbeda7c2ba1, 0x6136ae2d76e95873, 0x1f8f6ac909570cec, 0x780fdf0cc7d676d8, 0x548098fe92ed04e1, 0xb39da564701ef35d, 0x5fec19626df41306}} + var A = coeff{ + a: fp{0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0, 0x0}, + c: fp{0xc8fc8df598726f0a, 0x7b1bc81750a6af95, 0x5d319e67c1e961b4, 0xb0aa7275301955f1, 0x4a080672d9ba6c64, 0x97a5ef8a246ee77b, 0x6ea9e5d4383676a, 0x3496e2e117e0ec80}} + var K = point{ + x: fp{0x597616608e291c6f, 0xd14230b008736798, 0xa63099b1ace67e6e, 0xe37c13afd768bcfa, 0xc6ef718894f08135, 0x53a4fd09091f3522, 0xc9a1f9f670645fe1, 0x628c4a8efd83e5f0}, + z: fp{0x8f18a654312ac1ad, 0xbc20a9b2472785c9, 0xdaf97c29bbf9e492, 0xf91a8c799e2f6119, 0xc8dc675cc8e528e6, 0x9a7b2c2f0df95171, 0x85629cd38cdd9fdb, 0x656d5253d3fd1a6e}} + var k uint64 = 5 + + var expA = coeff{ + a: fp{0x32076f58298ed474, 0x5094a1fc8696d307, 0x82e510594157944a, 0xb60ce760f88c83a9, 0xae8a28c325186983, 0xe31d2446a4ad2f18, 0xb266c612b5f141c1, 0x64283e618db5a705}, + c: fp{0x4472b49b65272190, 0x2bd5919309778f56, 0x6132753691fe016c, 0x8f654849c09e6d34, 0xfa208dd9aea1ef12, 0xf7df0dd10071411a, 0x75afb7860500922c, 0x52fb7d34b129fb65}} + var expP = point{ + x: fp{0x3b75fc94b2a6df2d, 0x96d53dc9b0e867a0, 0x22e87202421d274e, 0x30a361440697ee1a, 0x8b52ee078bdbddcd, 0x64425d500e6b934d, 0xf47d1f568f6df391, 0x5d9d3607431395ab}, + z: fp{0x746e02dafa040976, 0xcd408f2cddbf3a8e, 0xf643354e0e13a93f, 0x7c39ed96ce9a5e29, 0xfcdf26f1a1a550ca, 0x2fc8aafc4ca0a559, 0x5d204a2b14cf19ba, 0xbd2c3406762f05d}} + + xIso(&P, &A, &K, k) + if !eqFp(&P.x, &expP.x) || !eqFp(&P.z, &expP.z) { + normP := toNormX(&P) + normPExp := toNormX(&expP) + t.Errorf("P != expP [\n %s != %s\n]", normP.Text(16), normPExp.Text(16)) + } + if !eqFp(&A.a, &expA.a) || !eqFp(&A.c, &expA.c) { + t.Errorf("A != expA %X %X", A.a[0], expA.a[0]) + } +} + +func BenchmarkXMul(b *testing.B) { + var kP, P point + var co coeff + var expKP big.Int + var k fp + + // Case C=1 + expKP.SetString("0x582B866603E6FBEBD21FE660FB34EF9466FDEC55FFBCE1073134CC557071147821BBAD225E30F7B2B6790B00ED9C39A29AA043F58AF995E440AFB13DA8E6D788", 0) + P.x = toFp("0x1C5CA539C1D5B52DE4750C390C24C05251E8B1D33E48971FA86F5ADDED2D06C8CD31E94887541468BB2925EBD693C9DDFF5BD9508430F25FE28EE30C0760C0FE") + P.z = toFp("1") + co.a = toFp("0x538F785D52996919C8D5C73D842A0249669B5B6BB05338B74EAE8094AE5009A3BA2D73730F527D7403E8184D9B1FA11C0C4C40E7B328A84874A6DBCE99E1DF92") + co.c = toFp("1") + k = fp{0x7A36C930A83EFBD5, 0xD0E80041ED0DDF9F, 0x5AA17134F1B8F877, 0x975711EC94168E51, 0xB3CAD962BED4BAC5, 0x3026DFDD7E4F5687, 0xE67F91AB8EC9C3AF, 0x34671D3FD8C317E7} + + for n := 0; n < b.N; n++ { + xMul(&kP, &P, &co, &k) + } +} + +func BenchmarkXAdd(b *testing.B) { + var P, Q, PdQ point + var PaQ point + + P.x = toFp("0x5840FD8E0165F7F474260F99337461AF195233F791FABE735EC2634B74A95559568B4CEB23959C8A01C5C57E215D22639868ED840D74FE2BAC04830CF75047AD") + P.z = toFp("1") + Q.x = toFp("0x3C1A003C71436698B4A181CEB12BA4B4D1FF7BB14AAAF6FBDA6957C4EBA20AD8E3893DF6F64E67E81163E024C19C7E975F3EC61862F75502C3ED802370E75A3F") + Q.z = toFp("1") + PdQ.x = toFp("0x519B1928F752B0B2143C1C23EB247B370DBB5B9C29B9A3A064D7FBC1B67FAC34B6D3DDA0F3CB87C387B425B36F31B93A8E73252BA701927B767A9DE89D5A92AE") + PdQ.z = toFp("1") + + for n := 0; n < b.N; n++ { + xAdd(&PaQ, &P, &Q, &PdQ) + } +} + +func BenchmarkXDbl(b *testing.B) { + var P, A point + var PaP point + + P.x = toFp("0x6C5B4D4AB0765AAB23C10F8455BE522D3A5363324D7AD641CC67C0A52FC1FFE9F3F8EDFE641478CA93D4D0016D83F21487FD4AF4E02F8A2C237CF27C5604BCC") + P.z = toFp("1") + A.x = toFp("0x599841D7D1FCD92A85759B7A3D2D5E4C56EFB17F19F86EB70E121EA16305EDE45A55868BE069313F821F7D94069EC220A4AC3B85500376710538246E9B3BC138") + A.z = toFp("1") + + for n := 0; n < b.N; n++ { + xDbl(&PaP, &P, &A) + } +} + +func BenchmarkIsom(b *testing.B) { + var P, kern point + var expPhiP big.Int + var co coeff + var k = uint64(2) + + expPhiP.SetString("0x5FEBD68F795F9AEB732ECF0D1507904922F2B0736704E0751EF242B4E191E6F630D83778B5E5681161FD071CDEF7DF4C3A41D0ECEB30E90B119C5BF86C5AB51A", 0) + P.x = toFp("0x5FD8D226C228FD6AA3CCDCAB931C5D3AA000A46B47041F59D9724E517594F696D38F2CB45C987ACF68BB1057D8D518F926D8F55171F337D05354E0022BC66B23") + P.z = toFp("1") + co.a = toFp("0x9E8DBC4914E3C4F080592642DD0B08B9564AB3ADF75EE9B58A685443BA6E39A1ACD1201B7F034077AF344123880AF9D8C77575E6E782E00186881ECE8B87CA3") + co.c = toFp("1") + kern.x = toFp("0x594F77A49EABBF2A12025BC00E1DBC119CDA674B9FE8A00791724B42FEB7D225C4C9940B01B09B8F00B30B0E961212FB63E42614814E38EC9E5E5B0FEBF98C58") + kern.z = toFp("1") + + for n := 0; n < b.N; n++ { + xIso(&P, &co, &kern, k) + } +} diff --git a/src/circl/dh/csidh/doc.go b/src/circl/dh/csidh/doc.go new file mode 100644 index 00000000000..9c87e534df2 --- /dev/null +++ b/src/circl/dh/csidh/doc.go @@ -0,0 +1,11 @@ +// Package csidh implements commutative supersingular isogeny-based Diffie-Hellman +// key exchange algorithm (CSIDH) resulting from the group action. Implementation +// uses prime field of a size 512-bits. +// This implementation is highly experimental work and currently it is not suitable +// for securing systems. +// +// References: +// - cSIDH: ia.cr/2018/383 +// - Faster cSIDH: ia.cr/2018/782 +// +package csidh diff --git a/src/circl/dh/csidh/fp511.go b/src/circl/dh/csidh/fp511.go new file mode 100644 index 00000000000..e537f60c3ac --- /dev/null +++ b/src/circl/dh/csidh/fp511.go @@ -0,0 +1,216 @@ +package csidh + +import ( + "math/bits" +) + +// Constant time select. +// if pick == 0xFF..FF (out = in1) +// if pick == 0 (out = in2) +// else out is undefined. +func ctPick64(which uint64, in1, in2 uint64) uint64 { + return (in1 & which) | (in2 & ^which) +} + +// ctIsNonZero64 returns 0 in case i == 0, otherwise it returns 1. +// Constant-time. +func ctIsNonZero64(i uint64) int { + // In case i==0 then i-1 will set MSB. Only in such case (i OR ~(i-1)) + // will result in MSB being not set (logical implication: (i-1)=>i is + // false iff (i-1)==0 and i==non-zero). In every other case MSB is + // set and hence function returns 1. + return int((i | (^(i - 1))) >> 63) +} + +// Returns result of x= 0; i-- { + v, c := bits.Sub64(y[i], x[i], 0) + if c != 0 { + return false + } + if v != 0 { + return true + } + } + // x == y + return false +} + +// r = x + y mod p. +func addRdc(r, x, y *fp) { + var c uint64 + var t fp + r[0], c = bits.Add64(x[0], y[0], 0) + r[1], c = bits.Add64(x[1], y[1], c) + r[2], c = bits.Add64(x[2], y[2], c) + r[3], c = bits.Add64(x[3], y[3], c) + r[4], c = bits.Add64(x[4], y[4], c) + r[5], c = bits.Add64(x[5], y[5], c) + r[6], c = bits.Add64(x[6], y[6], c) + r[7], _ = bits.Add64(x[7], y[7], c) + + t[0], c = bits.Sub64(r[0], p[0], 0) + t[1], c = bits.Sub64(r[1], p[1], c) + t[2], c = bits.Sub64(r[2], p[2], c) + t[3], c = bits.Sub64(r[3], p[3], c) + t[4], c = bits.Sub64(r[4], p[4], c) + t[5], c = bits.Sub64(r[5], p[5], c) + t[6], c = bits.Sub64(r[6], p[6], c) + t[7], c = bits.Sub64(r[7], p[7], c) + + var w = 0 - c + r[0] = ctPick64(w, r[0], t[0]) + r[1] = ctPick64(w, r[1], t[1]) + r[2] = ctPick64(w, r[2], t[2]) + r[3] = ctPick64(w, r[3], t[3]) + r[4] = ctPick64(w, r[4], t[4]) + r[5] = ctPick64(w, r[5], t[5]) + r[6] = ctPick64(w, r[6], t[6]) + r[7] = ctPick64(w, r[7], t[7]) +} + +// r = x - y. +func sub512(r, x, y *fp) uint64 { + var c uint64 + r[0], c = bits.Sub64(x[0], y[0], 0) + r[1], c = bits.Sub64(x[1], y[1], c) + r[2], c = bits.Sub64(x[2], y[2], c) + r[3], c = bits.Sub64(x[3], y[3], c) + r[4], c = bits.Sub64(x[4], y[4], c) + r[5], c = bits.Sub64(x[5], y[5], c) + r[6], c = bits.Sub64(x[6], y[6], c) + r[7], c = bits.Sub64(x[7], y[7], c) + return c +} + +// r = x - y mod p. +func subRdc(r, x, y *fp) { + var c uint64 + + // Same as sub512(r,x,y). Unfortunately + // compiler is not able to inline it. + r[0], c = bits.Sub64(x[0], y[0], 0) + r[1], c = bits.Sub64(x[1], y[1], c) + r[2], c = bits.Sub64(x[2], y[2], c) + r[3], c = bits.Sub64(x[3], y[3], c) + r[4], c = bits.Sub64(x[4], y[4], c) + r[5], c = bits.Sub64(x[5], y[5], c) + r[6], c = bits.Sub64(x[6], y[6], c) + r[7], c = bits.Sub64(x[7], y[7], c) + + // if x r=x-y+p + var w = 0 - c + r[0], c = bits.Add64(r[0], ctPick64(w, p[0], 0), 0) + r[1], c = bits.Add64(r[1], ctPick64(w, p[1], 0), c) + r[2], c = bits.Add64(r[2], ctPick64(w, p[2], 0), c) + r[3], c = bits.Add64(r[3], ctPick64(w, p[3], 0), c) + r[4], c = bits.Add64(r[4], ctPick64(w, p[4], 0), c) + r[5], c = bits.Add64(r[5], ctPick64(w, p[5], 0), c) + r[6], c = bits.Add64(r[6], ctPick64(w, p[6], 0), c) + r[7], _ = bits.Add64(r[7], ctPick64(w, p[7], 0), c) +} + +// Fixed-window mod exp for fpBitLen bit value with 4 bit window. Returned +// result is a number in montgomery domain. +// r = b ^ e (mod p). +// Constant time. +func modExpRdcCommon(r, b, e *fp, fpBitLen int) { + var precomp [16]fp + var t fp + var c uint64 + + // Precompute step, computes an array of small powers of 'b'. As this + // algorithm implements 4-bit window, we need 2^4=16 of such values. + // b^0 = 1, which is equal to R from REDC. + precomp[0] = one // b ^ 0 + precomp[1] = *b // b ^ 1 + for i := 2; i < 16; i = i + 2 { + // OPTIMIZE: implement fast squaring. Then interleaving fast squaring + // with multiplication should improve performance. + mulRdc(&precomp[i], &precomp[i/2], &precomp[i/2]) // sqr + mulRdc(&precomp[i+1], &precomp[i], b) + } + + *r = one + for i := fpBitLen/4 - 1; i >= 0; i-- { + for j := 0; j < 4; j++ { + mulRdc(r, r, r) + } + // note: non resistant to cache SCA + idx := (e[i/16] >> uint((i%16)*4)) & 15 + mulRdc(r, r, &precomp[idx]) + } + + // if p <= r < 2p then r = r-p + t[0], c = bits.Sub64(r[0], p[0], 0) + t[1], c = bits.Sub64(r[1], p[1], c) + t[2], c = bits.Sub64(r[2], p[2], c) + t[3], c = bits.Sub64(r[3], p[3], c) + t[4], c = bits.Sub64(r[4], p[4], c) + t[5], c = bits.Sub64(r[5], p[5], c) + t[6], c = bits.Sub64(r[6], p[6], c) + t[7], c = bits.Sub64(r[7], p[7], c) + + var w = 0 - c + r[0] = ctPick64(w, r[0], t[0]) + r[1] = ctPick64(w, r[1], t[1]) + r[2] = ctPick64(w, r[2], t[2]) + r[3] = ctPick64(w, r[3], t[3]) + r[4] = ctPick64(w, r[4], t[4]) + r[5] = ctPick64(w, r[5], t[5]) + r[6] = ctPick64(w, r[6], t[6]) + r[7] = ctPick64(w, r[7], t[7]) +} + +// modExpRdc does modular exponentiation of 512-bit number. +// Constant-time. +func modExpRdc512(r, b, e *fp) { + modExpRdcCommon(r, b, e, 512) +} + +// modExpRdc does modular exponentiation of 64-bit number. +// Constant-time. +func modExpRdc64(r, b *fp, e uint64) { + modExpRdcCommon(r, b, &fp{e}, 64) +} + +// isNonQuadRes checks whether value v is quadratic residue. +// Implementation uses Fermat's little theorem (or +// Euler's criterion) +// a^(p-1) == 1, hence +// (a^2) ((p-1)/2) == 1 +// Which means v is a quadratic residue iff v^((p-1)/2) == 1. +// Caller provided v must be in montgomery domain. +// Returns 0 in case v is quadratic residue or 1 in case +// v is quadratic non-residue. +func (v *fp) isNonQuadRes() int { + var res fp + var b uint64 + + modExpRdc512(&res, v, &pMin1By2) + for i := range res { + b |= res[i] ^ one[i] + } + + return ctIsNonZero64(b) +} + +// isZero returns false in case v is equal to 0, otherwise +// true. Constant time. +func (v *fp) isZero() bool { + var r uint64 + for i := 0; i < numWords; i++ { + r |= v[i] + } + return ctIsNonZero64(r) == 0 +} + +// equal checks if v is equal to in. Constant time. +func (v *fp) equal(in *fp) bool { + var r uint64 + for i := range v { + r |= v[i] ^ in[i] + } + return ctIsNonZero64(r) == 0 +} diff --git a/src/circl/dh/csidh/fp511_amd64.go b/src/circl/dh/csidh/fp511_amd64.go new file mode 100644 index 00000000000..98d01597e36 --- /dev/null +++ b/src/circl/dh/csidh/fp511_amd64.go @@ -0,0 +1,64 @@ +// +build amd64,!noasm + +package csidh + +import ( + "math/bits" + + "internal/cpu" +) + +var ( + // Signals support for BMI2 (MULX) + hasBMI2 = cpu.X86.HasBMI2 + // Signals support for ADX and BMI2 + hasADXandBMI2 = cpu.X86.HasBMI2 && cpu.X86.HasADX +) + +var _ = hasBMI2 + +func mul512(r, m1 *fp, m2 uint64) { mul512Amd64(r, m1, m2) } +func cswap512(x, y *fp, choice uint8) { cswap512Amd64(x, y, choice) } +func mulRdc(r, x, y *fp) { mulRdcAmd64(r, x, y) } + +//go:noescape +func mul512Amd64(a, b *fp, c uint64) + +//go:noescape +func cswap512Amd64(x, y *fp, choice uint8) + +//go:noescape +func mulBmiAsm(res, x, y *fp) + +// mulRdc performs montgomery multiplication r = x * y mod P. +// Returned result r is already reduced and in Montgomery domain. +func mulRdcAmd64(r, x, y *fp) { + var t fp + var c uint64 + + if hasADXandBMI2 { + mulBmiAsm(r, x, y) + } else { + mulGeneric(r, x, y) + } + + // if p <= r < 2p then r = r-p + t[0], c = bits.Sub64(r[0], p[0], 0) + t[1], c = bits.Sub64(r[1], p[1], c) + t[2], c = bits.Sub64(r[2], p[2], c) + t[3], c = bits.Sub64(r[3], p[3], c) + t[4], c = bits.Sub64(r[4], p[4], c) + t[5], c = bits.Sub64(r[5], p[5], c) + t[6], c = bits.Sub64(r[6], p[6], c) + t[7], c = bits.Sub64(r[7], p[7], c) + + var w = 0 - c + r[0] = ctPick64(w, r[0], t[0]) + r[1] = ctPick64(w, r[1], t[1]) + r[2] = ctPick64(w, r[2], t[2]) + r[3] = ctPick64(w, r[3], t[3]) + r[4] = ctPick64(w, r[4], t[4]) + r[5] = ctPick64(w, r[5], t[5]) + r[6] = ctPick64(w, r[6], t[6]) + r[7] = ctPick64(w, r[7], t[7]) +} diff --git a/src/circl/dh/csidh/fp511_amd64.s b/src/circl/dh/csidh/fp511_amd64.s new file mode 100644 index 00000000000..b27228df9be --- /dev/null +++ b/src/circl/dh/csidh/fp511_amd64.s @@ -0,0 +1,166 @@ +// +build amd64 + +#include "textflag.h" + +// Multiplies 512-bit value by 64-bit value. Uses MULQ instruction to +// multiply 2 64-bit values. +// +// Result: x = (y * z) mod 2^512 +// +// Registers used: AX, CX, DX, SI, DI, R8 +// +// func mul512Amd64(a, b *Fp, c uint64) +TEXT ·mul512Amd64(SB), NOSPLIT, $0-24 + MOVQ a+0(FP), DI // result + MOVQ b+8(FP), SI // multiplicand + + // Check whether to use optimized implementation + CMPB ·hasBMI2(SB), $1 + JE mul512_mulx + + MOVQ c+16(FP), R10 // 64 bit multiplier, used by MULQ + MOVQ R10, AX; MULQ 0(SI); MOVQ DX, R11; MOVQ AX, 0(DI) //x[0] + MOVQ R10, AX; MULQ 8(SI); ADDQ R11, AX; ADCQ $0, DX; MOVQ DX, R11; MOVQ AX, 8(DI) //x[1] + MOVQ R10, AX; MULQ 16(SI); ADDQ R11, AX; ADCQ $0, DX; MOVQ DX, R11; MOVQ AX, 16(DI) //x[2] + MOVQ R10, AX; MULQ 24(SI); ADDQ R11, AX; ADCQ $0, DX; MOVQ DX, R11; MOVQ AX, 24(DI) //x[3] + MOVQ R10, AX; MULQ 32(SI); ADDQ R11, AX; ADCQ $0, DX; MOVQ DX, R11; MOVQ AX, 32(DI) //x[4] + MOVQ R10, AX; MULQ 40(SI); ADDQ R11, AX; ADCQ $0, DX; MOVQ DX, R11; MOVQ AX, 40(DI) //x[5] + MOVQ R10, AX; MULQ 48(SI); ADDQ R11, AX; ADCQ $0, DX; MOVQ DX, R11; MOVQ AX, 48(DI) //x[6] + MOVQ R10, AX; MULQ 56(SI); ADDQ R11, AX; MOVQ AX, 56(DI) //x[7] + RET + +// Optimized for CPUs with BMI2 +mul512_mulx: + MOVQ c+16(FP), DX // 64 bit multiplier, used by MULX + MULXQ 0(SI), AX, R10; MOVQ AX, 0(DI) // x[0] + MULXQ 8(SI), AX, R11; ADDQ R10, AX; MOVQ AX, 8(DI) // x[1] + MULXQ 16(SI), AX, R10; ADCQ R11, AX; MOVQ AX, 16(DI) // x[2] + MULXQ 24(SI), AX, R11; ADCQ R10, AX; MOVQ AX, 24(DI) // x[3] + MULXQ 32(SI), AX, R10; ADCQ R11, AX; MOVQ AX, 32(DI) // x[4] + MULXQ 40(SI), AX, R11; ADCQ R10, AX; MOVQ AX, 40(DI) // x[5] + MULXQ 48(SI), AX, R10; ADCQ R11, AX; MOVQ AX, 48(DI) // x[6] + MULXQ 56(SI), AX, R11; ADCQ R10, AX; MOVQ AX, 56(DI) // x[7] + RET + +TEXT ·cswap512Amd64(SB),NOSPLIT,$0-17 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + MOVBLZX choice+16(FP), AX // AL = 0 or 1 + + // Make AX, so that either all bits are set or non + // AX = 0 or 1 + NEGQ AX + + // Fill xmm15. After this step first half of XMM15 is + // just zeros and second half is whatever in AX + MOVQ AX, X15 + + // Copy lower double word everywhere else. So that + // XMM15=AL|AL|AL|AL. As AX has either all bits set + // or non result will be that XMM15 has also either + // all bits set or non of them. + PSHUFD $0, X15, X15 + +#ifndef CSWAP_BLOCK +#define CSWAP_BLOCK(idx) \ + MOVOU (idx*16)(DI), X0 \ + MOVOU (idx*16)(SI), X1 \ + \ // X2 = mask & (X0 ^ X1) + MOVO X1, X2 \ + PXOR X0, X2 \ + PAND X15, X2 \ + \ + PXOR X2, X0 \ + PXOR X2, X1 \ + \ + MOVOU X0, (idx*16)(DI) \ + MOVOU X1, (idx*16)(SI) +#endif + + CSWAP_BLOCK(0) + CSWAP_BLOCK(1) + CSWAP_BLOCK(2) + CSWAP_BLOCK(3) + + RET + +// mulAsm implements montgomery multiplication interleaved with +// montgomery reduction. It uses MULX and ADCX/ADOX instructions. +// Implementation specific to 511-bit prime 'p' +// +// func mulBmiAsm(res, x, y *fp) +TEXT ·mulBmiAsm(SB),NOSPLIT,$8-24 + + MOVQ x+8(FP), DI // multiplicand + MOVQ y+16(FP), SI // multiplier + + XORQ R8, R8 + XORQ R9, R9 + XORQ R10, R10 + XORQ R11, R11 + XORQ R12, R12 + XORQ R13, R13 + XORQ R14, R14 + XORQ R15, R15 + + MOVQ BP, 0(SP) + XORQ BP, BP + +// Uses BMI2 (MULX) +#ifdef MULS_MULX_512 +#undef MULS_MULX_512 +#endif +#define MULS_MULX_512(idx, r0, r1, r2, r3, r4, r5, r6, r7, r8) \ + \ // Reduction step + MOVQ ( 0)(SI), DX \ + MULXQ ( 8*idx)(DI), DX, CX \ + ADDQ r0, DX \ + MULXQ ·pNegInv(SB), DX, CX \ + \ + XORQ AX, AX \ + MULXQ ·p+ 0(SB), AX, BX; ; ADOXQ AX, r0 \ + MULXQ ·p+ 8(SB), AX, CX; ADCXQ BX, r1; ADOXQ AX, r1 \ + MULXQ ·p+16(SB), AX, BX; ADCXQ CX, r2; ADOXQ AX, r2 \ + MULXQ ·p+24(SB), AX, CX; ADCXQ BX, r3; ADOXQ AX, r3 \ + MULXQ ·p+32(SB), AX, BX; ADCXQ CX, r4; ADOXQ AX, r4 \ + MULXQ ·p+40(SB), AX, CX; ADCXQ BX, r5; ADOXQ AX, r5 \ + MULXQ ·p+48(SB), AX, BX; ADCXQ CX, r6; ADOXQ AX, r6 \ + MULXQ ·p+56(SB), AX, CX; ADCXQ BX, r7; ADOXQ AX, r7 \ + MOVQ $0, AX ; ADCXQ CX, r8; ADOXQ AX, r8 \ + \ // Multiplication step + MOVQ (8*idx)(DI), DX \ + \ + XORQ AX, AX \ + MULXQ ( 0)(SI), AX, BX; ADOXQ AX, r0 \ + MULXQ ( 8)(SI), AX, CX; ADCXQ BX, r1; ADOXQ AX, r1 \ + MULXQ (16)(SI), AX, BX; ADCXQ CX, r2; ADOXQ AX, r2 \ + MULXQ (24)(SI), AX, CX; ADCXQ BX, r3; ADOXQ AX, r3 \ + MULXQ (32)(SI), AX, BX; ADCXQ CX, r4; ADOXQ AX, r4 \ + MULXQ (40)(SI), AX, CX; ADCXQ BX, r5; ADOXQ AX, r5 \ + MULXQ (48)(SI), AX, BX; ADCXQ CX, r6; ADOXQ AX, r6 \ + MULXQ (56)(SI), AX, CX; ADCXQ BX, r7; ADOXQ AX, r7 \ + MOVQ $0, AX ; ADCXQ CX, r8; ADOXQ AX, r8 + + MULS_MULX_512(0, R8, R9, R10, R11, R12, R13, R14, R15, BP) + MULS_MULX_512(1, R9, R10, R11, R12, R13, R14, R15, BP, R8) + MULS_MULX_512(2, R10, R11, R12, R13, R14, R15, BP, R8, R9) + MULS_MULX_512(3, R11, R12, R13, R14, R15, BP, R8, R9, R10) + MULS_MULX_512(4, R12, R13, R14, R15, BP, R8, R9, R10, R11) + MULS_MULX_512(5, R13, R14, R15, BP, R8, R9, R10, R11, R12) + MULS_MULX_512(6, R14, R15, BP, R8, R9, R10, R11, R12, R13) + MULS_MULX_512(7, R15, BP, R8, R9, R10, R11, R12, R13, R14) +#undef MULS_MULX_512 + + MOVQ res+0(FP), DI + MOVQ BP, ( 0)(DI) + MOVQ R8, ( 8)(DI) + MOVQ R9, (16)(DI) + MOVQ R10, (24)(DI) + MOVQ R11, (32)(DI) + MOVQ R12, (40)(DI) + MOVQ R13, (48)(DI) + MOVQ R14, (56)(DI) + MOVQ 0(SP), BP + + // NOW DI needs to be reduced if > p + RET diff --git a/src/circl/dh/csidh/fp511_generic.go b/src/circl/dh/csidh/fp511_generic.go new file mode 100644 index 00000000000..ceb819e7989 --- /dev/null +++ b/src/circl/dh/csidh/fp511_generic.go @@ -0,0 +1,180 @@ +package csidh + +import "math/bits" + +// mul576 implements schoolbook multiplication of +// 64x512-bit integer. Returns result modulo 2^512. +// r = m1*m2. +func mul512Generic(r, m1 *fp, m2 uint64) { + var c, h, l uint64 + + c, r[0] = bits.Mul64(m2, m1[0]) + + h, l = bits.Mul64(m2, m1[1]) + r[1], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[2]) + r[2], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[3]) + r[3], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[4]) + r[4], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[5]) + r[5], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[6]) + r[6], c = bits.Add64(l, c, 0) + c = h + c + + _, l = bits.Mul64(m2, m1[7]) + r[7], _ = bits.Add64(l, c, 0) +} + +// mul576 implements schoolbook multiplication of +// 64x512-bit integer. Returns 576-bit result of +// multiplication. +// r = m1*m2. +func mul576Generic(r *[9]uint64, m1 *fp, m2 uint64) { + var c, h, l uint64 + + c, r[0] = bits.Mul64(m2, m1[0]) + + h, l = bits.Mul64(m2, m1[1]) + r[1], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[2]) + r[2], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[3]) + r[3], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[4]) + r[4], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[5]) + r[5], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[6]) + r[6], c = bits.Add64(l, c, 0) + c = h + c + + h, l = bits.Mul64(m2, m1[7]) + r[7], c = bits.Add64(l, c, 0) + r[8], c = bits.Add64(h, c, 0) + r[8] += c +} + +// cswap512 implements constant time swap operation. +// If choice = 0, leave x,y unchanged. If choice = 1, set x,y = y,x. +// If choice is neither 0 nor 1 then behaviour is undefined. +func cswap512Generic(x, y *fp, choice uint8) { + var tmp uint64 + mask64 := 0 - uint64(choice) + + for i := 0; i < numWords; i++ { + tmp = mask64 & (x[i] ^ y[i]) + x[i] = tmp ^ x[i] + y[i] = tmp ^ y[i] + } +} + +// mulRdc performs montgomery multiplication r = x * y mod P. +// Returned result r is already reduced and in Montgomery domain. +func mulRdcGeneric(r, x, y *fp) { + var t fp + var c uint64 + + mulGeneric(r, x, y) + + // if p <= r < 2p then r = r-p + t[0], c = bits.Sub64(r[0], p[0], 0) + t[1], c = bits.Sub64(r[1], p[1], c) + t[2], c = bits.Sub64(r[2], p[2], c) + t[3], c = bits.Sub64(r[3], p[3], c) + t[4], c = bits.Sub64(r[4], p[4], c) + t[5], c = bits.Sub64(r[5], p[5], c) + t[6], c = bits.Sub64(r[6], p[6], c) + t[7], c = bits.Sub64(r[7], p[7], c) + + w := 0 - c + r[0] = ctPick64(w, r[0], t[0]) + r[1] = ctPick64(w, r[1], t[1]) + r[2] = ctPick64(w, r[2], t[2]) + r[3] = ctPick64(w, r[3], t[3]) + r[4] = ctPick64(w, r[4], t[4]) + r[5] = ctPick64(w, r[5], t[5]) + r[6] = ctPick64(w, r[6], t[6]) + r[7] = ctPick64(w, r[7], t[7]) +} + +func mulGeneric(r, x, y *fp) { + var s fp // keeps intermediate results + var t1, t2 [9]uint64 + var c, q uint64 + + for i := 0; i < numWords-1; i++ { + q = ((x[i] * y[0]) + s[0]) * pNegInv[0] + mul576Generic(&t1, &p, q) + mul576Generic(&t2, y, x[i]) + + // x[i]*y + q_i*p + t1[0], c = bits.Add64(t1[0], t2[0], 0) + t1[1], c = bits.Add64(t1[1], t2[1], c) + t1[2], c = bits.Add64(t1[2], t2[2], c) + t1[3], c = bits.Add64(t1[3], t2[3], c) + t1[4], c = bits.Add64(t1[4], t2[4], c) + t1[5], c = bits.Add64(t1[5], t2[5], c) + t1[6], c = bits.Add64(t1[6], t2[6], c) + t1[7], c = bits.Add64(t1[7], t2[7], c) + t1[8], _ = bits.Add64(t1[8], t2[8], c) + + // s = (s + x[i]*y + q_i * p) / R + _, c = bits.Add64(t1[0], s[0], 0) + s[0], c = bits.Add64(t1[1], s[1], c) + s[1], c = bits.Add64(t1[2], s[2], c) + s[2], c = bits.Add64(t1[3], s[3], c) + s[3], c = bits.Add64(t1[4], s[4], c) + s[4], c = bits.Add64(t1[5], s[5], c) + s[5], c = bits.Add64(t1[6], s[6], c) + s[6], c = bits.Add64(t1[7], s[7], c) + s[7], _ = bits.Add64(t1[8], 0, c) + } + + // last iteration stores result in r + q = ((x[numWords-1] * y[0]) + s[0]) * pNegInv[0] + mul576Generic(&t1, &p, q) + mul576Generic(&t2, y, x[numWords-1]) + + t1[0], c = bits.Add64(t1[0], t2[0], c) + t1[1], c = bits.Add64(t1[1], t2[1], c) + t1[2], c = bits.Add64(t1[2], t2[2], c) + t1[3], c = bits.Add64(t1[3], t2[3], c) + t1[4], c = bits.Add64(t1[4], t2[4], c) + t1[5], c = bits.Add64(t1[5], t2[5], c) + t1[6], c = bits.Add64(t1[6], t2[6], c) + t1[7], c = bits.Add64(t1[7], t2[7], c) + t1[8], _ = bits.Add64(t1[8], t2[8], c) + + _, c = bits.Add64(t1[0], s[0], 0) + r[0], c = bits.Add64(t1[1], s[1], c) + r[1], c = bits.Add64(t1[2], s[2], c) + r[2], c = bits.Add64(t1[3], s[3], c) + r[3], c = bits.Add64(t1[4], s[4], c) + r[4], c = bits.Add64(t1[5], s[5], c) + r[5], c = bits.Add64(t1[6], s[6], c) + r[6], c = bits.Add64(t1[7], s[7], c) + r[7], _ = bits.Add64(t1[8], 0, c) +} diff --git a/src/circl/dh/csidh/fp511_noasm.go b/src/circl/dh/csidh/fp511_noasm.go new file mode 100644 index 00000000000..10ece5df13f --- /dev/null +++ b/src/circl/dh/csidh/fp511_noasm.go @@ -0,0 +1,8 @@ +// +build !amd64 purego + +package csidh + +func mul512(r, m1 *fp, m2 uint64) { mul512Generic(r, m1, m2) } +func mul576(r *[9]uint64, m1 *fp, m2 uint64) { mul576Generic(r, m1, m2) } +func cswap512(x, y *fp, choice uint8) { cswap512Generic(x, y, choice) } +func mulRdc(r, x, y *fp) { mulRdcGeneric(r, x, y) } diff --git a/src/circl/dh/csidh/fp511_test.go b/src/circl/dh/csidh/fp511_test.go new file mode 100644 index 00000000000..cd9d2018682 --- /dev/null +++ b/src/circl/dh/csidh/fp511_test.go @@ -0,0 +1,397 @@ +package csidh + +import ( + "crypto/rand" + "math/big" + "testing" +) + +func testFp512Mul3Nominal(t *testing.T, f func(*fp, *fp, uint64)) { + var mod, two64 big.Int + + // modulus: 2^512 + mod.SetUint64(1).Lsh(&mod, 512) + two64.SetUint64(1).Lsh(&two64, 64) + + for i := 0; i < numIter; i++ { + multiplier64, _ := rand.Int(rand.Reader, &two64) + mul64 := multiplier64.Uint64() + + fV := randomFp() + exp, _ := new(big.Int).SetString(fp2S(fV), 16) + exp.Mul(exp, multiplier64) + // Truncate to 512 bits + exp.Mod(exp, &mod) + + f(&fV, &fV, mul64) + res, _ := new(big.Int).SetString(fp2S(fV), 16) + + if exp.Cmp(res) != 0 { + t.Errorf("%X != %X", exp, res) + } + } +} + +// Check if mul512 produces result +// z = x*y mod 2^512. +func TestFp512Mul3_Nominal(t *testing.T) { + testFp512Mul3Nominal(t, mul512) + testFp512Mul3Nominal(t, mul512Generic) +} + +func TestAddRdcRandom(t *testing.T) { + for i := 0; i < numIter; i++ { + a := randomFp() + bigA, _ := new(big.Int).SetString(fp2S(a), 16) + bigA.Mod(bigA, modulus) + copy(a[:], intGetU64(bigA)) + + b := randomFp() + bigB, _ := new(big.Int).SetString(fp2S(b), 16) + bigB.Mod(bigB, modulus) + copy(b[:], intGetU64(bigB)) + + addRdc(&a, &a, &b) + bigRet, _ := new(big.Int).SetString(fp2S(a), 16) + + bigA.Add(bigA, bigB) + bigA.Mod(bigA, modulus) + + if bigRet.Cmp(bigA) != 0 { + t.Errorf("%X != %X", bigRet, bigA) + } + } +} + +func TestAddRdcNominal(t *testing.T) { + var res fp + + tmp := oneFp512 + addRdc(&res, &tmp, &p) + if !eqFp(&res, &tmp) { + t.Errorf("Wrong value\n%X", res) + } + + tmp = zeroFp512 + addRdc(&res, &p, &p) + if !eqFp(&res, &p) { + t.Errorf("Wrong value\n%X", res) + } + + tmp = fp{1, 1, 1, 1, 1, 1, 1, 1} + addRdc(&res, &p, &tmp) + if !eqFp(&res, &tmp) { + t.Errorf("Wrong value\n%X", res) + } + + tmp = fp{1, 1, 1, 1, 1, 1, 1, 1} + exp := fp{2, 2, 2, 2, 2, 2, 2, 2} + addRdc(&res, &tmp, &tmp) + if !eqFp(&res, &exp) { + t.Errorf("Wrong value\n%X", res) + } +} + +func TestFp512Sub3_Nominal(t *testing.T) { + var ret fp + var mod big.Int + // modulus: 2^512 + mod.SetUint64(1).Lsh(&mod, 512) + + for i := 0; i < numIter; i++ { + a := randomFp() + bigA, _ := new(big.Int).SetString(fp2S(a), 16) + b := randomFp() + bigB, _ := new(big.Int).SetString(fp2S(b), 16) + + sub512(&ret, &a, &b) + bigRet, _ := new(big.Int).SetString(fp2S(ret), 16) + bigA.Sub(bigA, bigB) + // Truncate to 512 bits + bigA.Mod(bigA, &mod) + + if bigRet.Cmp(bigA) != 0 { + t.Errorf("%X != %X", bigRet, bigA) + } + } +} + +func TestFp512Sub3_DoesntReturnCarry(t *testing.T) { + a := fp{} + b := fp{ + 0xFFFFFFFFFFFFFFFF, 1, + 0, 0, + 0, 0, + 0, 0} + c := fp{ + 0xFFFFFFFFFFFFFFFF, 2, + 0, 0, + 0, 0, + 0, 0} + + if sub512(&a, &b, &c) != 1 { + t.Error("Carry not returned") + } +} + +func TestFp512Sub3_ReturnsCarry(t *testing.T) { + a := fp{} + b := fp{ + 0xFFFFFFFFFFFFFFFF, 2, + 0, 0, + 0, 0, + 0, 0} + c := fp{ + 0xFFFFFFFFFFFFFFFF, 1, + 0, 0, + 0, 0, + 0, 0} + + if sub512(&a, &b, &c) != 0 { + t.Error("Carry not returned") + } +} + +func testCswap(t *testing.T, f func(*fp, *fp, uint8)) { + arg1 := randomFp() + arg2 := randomFp() + + arg1cpy := arg1 + f(&arg1, &arg2, 0) + if !eqFp(&arg1, &arg1cpy) { + t.Error("cswap swapped") + } + + arg1cpy = arg1 + f(&arg1, &arg2, 1) + if eqFp(&arg1, &arg1cpy) { + t.Error("cswap didn't swapped") + } + + arg1cpy = arg1 + f(&arg1, &arg2, 0xF2) + if eqFp(&arg1, &arg1cpy) { + t.Error("cswap didn't swapped") + } +} + +func TestCswap(t *testing.T) { + testCswap(t, cswap512Generic) + testCswap(t, cswap512) +} + +func TestSubRdc(t *testing.T) { + var res fp + + // 1 - 1 mod P + tmp := oneFp512 + subRdc(&res, &tmp, &tmp) + if !eqFp(&res, &zeroFp512) { + t.Errorf("Wrong value\n%X", res) + } + zero(&res) + + // 0 - 1 mod P + exp := p + exp[0]-- + + subRdc(&res, &zeroFp512, &oneFp512) + if !eqFp(&res, &exp) { + t.Errorf("Wrong value\n%X\n%X", res, exp) + } + zero(&res) + + // P - (P-1) + pMinusOne := p + pMinusOne[0]-- + subRdc(&res, &p, &pMinusOne) + if !eqFp(&res, &oneFp512) { + t.Errorf("Wrong value\n[%X != %X]", res, oneFp512) + } + zero(&res) + + subRdc(&res, &p, &oneFp512) + if !eqFp(&res, &pMinusOne) { + t.Errorf("Wrong value\n[%X != %X]", res, pMinusOne) + } +} + +func testMulRdc(t *testing.T, f func(*fp, *fp, *fp)) { + var res fp + var m1 = fp{ + 0x85E2579C786882D0, 0x4E3433657E18DA95, + 0x850AE5507965A0B3, 0xA15BC4E676475964} + var m2 = fp{ + 0x85E2579C786882CF, 0x4E3433657E18DA95, + 0x850AE5507965A0B3, 0xA15BC4E676475964} + + // Expected + var m1m1 = fp{ + 0xAEBF46E92C88A4B4, 0xCFE857977B946347, + 0xD3B264FF08493901, 0x6EEB3D23746B6C7C, + 0xC0CA874A349D64B4, 0x7AD4A38B406F8504, + 0x38B6B6CEB82472FB, 0x1587015FD7DDFC7D} + var m1m2 = fp{ + 0x51534771258C4624, 0x2BFEDE86504E2160, + 0xE8127D5E9329670B, 0x0C84DBD584491D75, + 0x656C73C68B16E38C, 0x01C0DA470B30B8DE, + 0x2532E3903EAA950B, 0x3F2C28EA97FE6FEC} + + // 0*0 + tmp := zeroFp512 + f(&res, &tmp, &tmp) + if !eqFp(&res, &tmp) { + t.Errorf("Wrong value\n%X", res) + } + + // 1*m1 == m1 + zero(&res) + f(&res, &m1, &one) + if !eqFp(&res, &m1) { + t.Errorf("Wrong value\n%X", res) + } + + // m1*m2 < p + zero(&res) + f(&res, &m1, &m2) + if !eqFp(&res, &m1m2) { + t.Errorf("Wrong value\n%X", res) + } + + // m1*m1 > p + zero(&res) + f(&res, &m1, &m1) + if !eqFp(&res, &m1m1) { + t.Errorf("Wrong value\n%X", res) + } +} + +func TestMulRdc(t *testing.T) { + testMulRdc(t, mulRdcGeneric) + testMulRdc(t, mulRdc) +} + +func TestModExp(t *testing.T) { + var resExp, base, exp big.Int + var baseFp, expFp, resFp, resFpExp fp + + for i := 0; i < numIter; i++ { + // Perform modexp with reference implementation + // in Montgomery domain + base.SetString(fp2S(randomFp()), 16) + exp.SetString(fp2S(randomFp()), 16) + resExp.Exp(&base, &exp, modulus) + toMont(&base, true) + toMont(&resExp, true) + + // Convert to fp + copy(baseFp[:], intGetU64(&base)) + copy(expFp[:], intGetU64(&exp)) + copy(resFpExp[:], intGetU64(&resExp)) + + // Perform modexp with our implementation + modExpRdc512(&resFp, &baseFp, &expFp) + + if !eqFp(&resFp, &resFpExp) { + t.Errorf("Wrong value\n%X!=%X", resFp, intGetU64(&resExp)) + } + } +} + +// Test uses Euler's Criterion. +func TestIsNonQuadRes(t *testing.T) { + var n, nMont big.Int + var pm1o2, rawP big.Int + var nMontFp fp + + // (p-1)/2 + pm1o2.SetString("0x32da4747ba07c4dffe455868af1f26255a16841d76e446212d7dfe63499164e6d3d56362b3f9aa83a8b398660f85a792e1390dfa2bd6541a8dc0dc8299e3643d", 0) + // modulus value (not in montgomery) + rawP.SetString("0x65b48e8f740f89bffc8ab0d15e3e4c4ab42d083aedc88c425afbfcc69322c9cda7aac6c567f35507516730cc1f0b4f25c2721bf457aca8351b81b90533c6c87b", 0) + + // There is 641 quadratic residues in this range + for i := uint64(1); i < uint64(numIter); i++ { + n.SetUint64(i) + n.Exp(&n, &pm1o2, &rawP) + // exp == 1 iff n is quadratic non-residue + exp := n.Cmp(big.NewInt(1)) + if exp < 0 { + panic("Should never happen") + } + + nMont.SetUint64(i) + toMont(&nMont, true) + copy(nMontFp[:], intGetU64(&nMont)) + ret := nMontFp.isNonQuadRes() + + if ret != exp { + toMont(&nMont, false) + t.Errorf("Test failed for value %s", nMont.Text(10)) + } + } +} + +func TestCheckSmaller(t *testing.T) { + // p-1 + var pMin1 = p + pMin1[0]-- + + // p-1 < p => 1 + if !isLess(&pMin1, &p) { + t.Error("pMin1>p") + } + + // p < p-1 => 0 + if isLess(&p, &pMin1) { + t.Error("p>pMin1") + } + + // p == p => 0 + if isLess(&p, &p) { + t.Error("p==p") + } +} + +func BenchmarkFp(b *testing.B) { + var res, arg1 fp + var two64 big.Int + two64.SetUint64(1).Lsh(&two64, 64) + n, _ := rand.Int(rand.Reader, &two64) + u64 := n.Uint64() + arg2, arg3 := randomFp(), randomFp() + b.Run("sub512", func(b *testing.B) { + for n := 0; n < b.N; n++ { + sub512(&arg1, &arg2, &arg3) + } + }) + b.Run("mul", func(b *testing.B) { + for n := 0; n < b.N; n++ { + mul512(&arg2, &arg3, u64) + } + }) + b.Run("cswap", func(b *testing.B) { + for n := 0; n < b.N; n++ { + cswap512(&arg1, &arg2, uint8(n%2)) + } + }) + b.Run("add", func(b *testing.B) { + for n := 0; n < b.N; n++ { + addRdc(&res, &arg1, &arg2) + } + }) + b.Run("sub", func(b *testing.B) { + for n := 0; n < b.N; n++ { + subRdc(&res, &arg1, &arg2) + } + }) + b.Run("mul", func(b *testing.B) { + for n := 0; n < b.N; n++ { + mulRdc(&res, &arg1, &arg2) + } + }) + b.Run("exp", func(b *testing.B) { + for n := 0; n < b.N; n++ { + modExpRdc512(&res, &arg1, &arg2) + } + }) +} diff --git a/src/circl/dh/csidh/testdata/csidh_testvectors.json b/src/circl/dh/csidh/testdata/csidh_testvectors.json new file mode 100644 index 00000000000..01cfec9a373 --- /dev/null +++ b/src/circl/dh/csidh/testdata/csidh_testvectors.json @@ -0,0 +1,2956 @@ +{ + "Vectors": [ + { + "Id": 0, + "Pk1": "2fd62ea1798c0839387d17587a22dcbb89c5797531bb38eff0cd505575c91c440a70e88aa4e67ad267460e40235076dec6ea6f7b60b59aed2a199cc1eb12123c", + "Pr1": "c4d4dccbfedd1b103c123ff2ed11345dfced1514decbc40cdee12e450fdb35fdb5b33ffb2d", + "Pk2": "895ee9f9e96aebf244c20171133aa0c2601b89f98b9c1f2eff7a44bbfc646a4ff5468775dde42d75803d5298eb5b6d27212d49bf59238c0ddea0eeae8bded937", + "Ss": "870ad67d9875cd535a8b4b5776c2eb59acaa872a5775231f75cef212449e40752ac557d12d556edcac68b1ee94a2a5ba6dce4f6bcb6e91c311d5759c83568e29", + "status": "valid", + "comment": "" + }, + { + "Id": 1, + "Pk1": "c017b2703feb1f429d7e101d34b52652a4dea6499c4731d494e1841c1d4333e8c3c6f986ea8e5a62b7943b61025fc273bce2e1c0430a69b78ec35141065de84e", + "Pr1": "0c323ecd4fbbbbd12ccd5eb41d5c1f420ebf330e1521fc21c104cf0db0f0cb0dd5d10225fe", + "Pk2": "9f189b6f09ec6ef686de1abc438e9708ceaac64cf01e9695c55e1997c5c13992f4e1c35e5c809af2d9be6ffad36e8966a94190f84962fd6e7f5fe9bbd7aee41f", + "Ss": "755e8a3e344b0ef2accd8855ac292cdf1dd3d0f9e7403464f85a0784351f0317caae5455d4f8c2a1666adb364e9dc4aff578f02a4bb3da031a5e5e1e30f5dd30", + "status": "valid", + "comment": "" + }, + { + "Id": 2, + "Pk1": "758baaa1d991fce063ff29b4192dba6c8d9b6620ef858fefe2e5218c1902dc0d84c81877f0eba7ba3346dc6a67c292e2f3ee0567b5ad4a285fab92bd43441305", + "Pr1": "3db1b323d054ec052201d02ff20103b250ceeeb243f40e5e24bf122ebfe30551e55ed0b1eb", + "Pk2": "41d8d0a352cbdeb2ea16733e83b6a6e222abfc2afafd76451ee4231c47d527a58956b69abcccdc582706d4aababbedf26c242c7c1192f43f5d465feb77d72f63", + "Ss": "b95b8b83f4fb3de618306608c5da7e774822f6e4e2f1e93eee0906f5a714c5d58d467cb9e5af617d0b9894dd5008f34fde855ac418b5460bc0109941b7f8151a", + "status": "valid", + "comment": "" + }, + { + "Id": 3, + "Pk1": "0cd103b51492be43c35c80523607142ae88f6896dc64e90bd710d6778688e2b3c2c6cd49d376d859d0ed84804d4584a1ac942cab87483c53bee22369aa0a0d65", + "Pr1": "bfffb01ceb01e2544e1de44e30c21effee3212f5ee534b4b30fffebefbe3e400ebf13e0b2d", + "Pk2": "5ec767260e61594ecf768cc0c3a381042184d58e4092c6c13eca657b2bceb1eb44275babf98741a64618b5c8998d18454c63e92ea0b7fdacdded1bedc44d4549", + "Ss": "c962080c5170ecd996c904b363c9034c49472e177523247029a7d85fd3aa01eb589e17bbec73196fa3835f7460a0bdd75bebb3cd53467cd2d1eec5906d21761a", + "status": "valid", + "comment": "" + }, + { + "Id": 4, + "Pk1": "111fd8d9e336cad4578179638cf3d1e64a5ddc51c1f8a5fcc8bf321563c410e7e0ee7531ac7595b2eb13eddcb70df6919848edbafb941142ae9cce03e47e2d4c", + "Pr1": "f00f025ec4feb142b2cd2e5d04ffc3b10ee4c1ec350ff41d553e1f0323efe305e24fc0f150", + "Pk2": "87d6effecd8ee94b6f84521637187dd9fc4d29100e0ee4b07516c9889acf5fdebe9881dfeb902efd354b367a3ddba3773991cb1cd52ca4f25a7d18f739272462", + "Ss": "20bfe627e1d0a6ff0ead98ab55049d190fb2a563f78b85b574d494c4760d8c567315f3ce7eec8852ae359f74d7b7f0c55ef24d72a285ab6b838f9b16d7cf8749", + "status": "valid", + "comment": "" + }, + { + "Id": 5, + "Pk1": "db8aa23c21ed69dd507048dd032050288f6330c97599d0b78f4091991d39f8b9ecc101d966d4049b38de7f21cb7dae42c02fb5f3d6323c74639f52cbcbf6553b", + "Pr1": "4c23dc513b1ddcbdd5f2fc25bf540b1215ece4f244e1222f44c01515ec0bed1d4b2fcdf234", + "Pk2": "d8d3bb64e2e354e0a4d209d05f39e7150f6dcd074cf5ac558706bc4428555e2c44dea6b036e5492cd5fe2e59e5bed9bde65aeccf8a47d6a28f8525283ec23a09", + "Ss": "af726b0535a37777c3790db3ddf8118c7f795366d51c77d2decab720c799248e34c4417d825a1b3bf3de814bf27c8917ba16e8a83b7117709cb455f34fd37328", + "status": "valid", + "comment": "" + }, + { + "Id": 6, + "Pk1": "c170985f761b9742950f27256f6e5fe63564ace2bb1c1240c87f915b0fe3761295d3c0f8344d78872706124ba6c01b9f460d683801563c7f333404017b8c874d", + "Pr1": "052dde3fcdfc0cd2efe2bd3512d1df32b304cbbbf4402e1cc55f00e3ec2cfdf4fc2c03cb0f", + "Pk2": "096a2838cb794731790b102549905ceda31a94b6951038e6a73483e035045b75917fc8acf982b161418a9a667a8c2afc184feb48462520cc0e85f64a114f0438", + "Ss": "80690d9623baf4e4881aa63f47f751ec88c9c099516a384f3c5d97179c8d33700679e28087f0318e51ed7839917c76dd0db74fc03e10fb1c539c92075368f85a", + "status": "valid", + "comment": "" + }, + { + "Id": 7, + "Pk1": "60270f86533c7394ba891009668d0c5f31dbdf22d6c74b8c1ffddc280d7a16a49797e14c9ae0b16cdaf337f718206d5dab380e345c2bcf9567e25c3eb757bd3f", + "Pr1": "5b224f4dd4501cb0f15b045dd154cd50b25bf52234fbd1cb4db3e50f3b404eb3e4fc1ee530", + "Pk2": "26dc974e40298a7a550d1d28f1eb9273bf16852327d2f2cfef768bda463b43346ec711bb3454bb5dd0a7778744bc6dab6de330f3024baaf249095ae916d87e43", + "Ss": 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"c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118e212f580562bf2b8f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 311, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f0e7f580562bf2b8f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 312, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f0127580562bf2b8f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 313, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f5d6562bf2b8f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 314, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f5807d2bf2b8f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 315, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f58056d9f2b8f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 316, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562b4ab8f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 317, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf248f08701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 318, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8778701ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 319, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08601ef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 320, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f087eeef4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 321, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08701ad4245769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 322, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08701ef0745769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 323, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08701ef4233769dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 324, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08701ef4245eb9dc460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 325, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08701ef42457659c460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 326, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08701ef4245769da460", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + }, + { + "Id": 327, + "Pk1": "49986cb4962be33fa910c08d866cf938f3cc157e1c665a679d0fd5038cf7bcb458cf58b850799492a82608995337bbb4f3b3841c8b3120bb8e88c9991989b625", + "Pr1": "c1331bb3d2d2e4de455344403edf143d01eccb5cd1edfc5fe0e1c0cc1edcfd43fccfd23110", + "Pk2": "b67e64c7535b3f6c0633c62c7f3e05eec88179d34cf0eac136d5c0e3bacb5bd509f9028bf188099489166b34e118f012f580562bf2b8f08701ef4245769dc4d6", + "Ss": "3954a50e07180680389550be867732f8284da03ab6f63d8bf22b2e225ac47fb973ee987b1a9db0d35d48c3267be0dfec2e5b136acdb8d6f58105a5961627ce52", + "status": "invalid_public_key2", + "comment": "" + } + ] +} \ No newline at end of file diff --git a/src/circl/dh/csidh/utils_test.go b/src/circl/dh/csidh/utils_test.go new file mode 100644 index 00000000000..d7d41edc5f6 --- /dev/null +++ b/src/circl/dh/csidh/utils_test.go @@ -0,0 +1,134 @@ +package csidh + +import ( + "fmt" + "math/big" + mrand "math/rand" +) + +var ( + // Number of iterations + numIter = 10 + // Modulus + modulus, _ = new(big.Int).SetString(fp2S(p), 16) + // Zero in fp + zeroFp512 = fp{} + // One in fp + oneFp512 = fp{1, 0, 0, 0, 0, 0, 0, 0} + // file with KAT vectors + katFile = "testdata/csidh_testvectors.json" +) + +// Converts dst to Montgomery if "toMont==true" or from Montgomery domain otherwise. +func toMont(dst *big.Int, toMont bool) { + var bigP, bigR big.Int + + intSetU64(&bigP, p[:]) + bigR.SetUint64(1) + bigR.Lsh(&bigR, 512) + + if !toMont { + bigR.ModInverse(&bigR, &bigP) + } + dst.Mul(dst, &bigR) + dst.Mod(dst, &bigP) +} + +func fp2S(v fp) string { + var str string + for i := 0; i < 8; i++ { + str = fmt.Sprintf("%016x", v[i]) + str + } + return str +} + +// zeroize fp. +func zero(v *fp) { + for i := range *v { + v[i] = 0 + } +} + +// returns random value in a range (0,p). +func randomFp() fp { + var u fp + for i := 0; i < 8; i++ { + u[i] = mrand.Uint64() + } + return u +} + +// return x==y for fp. +func eqFp(l, r *fp) bool { + for idx := range l { + if l[idx] != r[idx] { + return false + } + } + return true +} + +// return x==y for point. +func ceqpoint(l, r *point) bool { + return eqFp(&l.x, &r.x) && eqFp(&l.z, &r.z) +} + +// Converts src to big.Int. Function assumes that src is a slice of uint64 +// values encoded in little-endian byte order. +func intSetU64(dst *big.Int, src []uint64) { + var tmp big.Int + + dst.SetUint64(0) + for i := range src { + tmp.SetUint64(src[i]) + tmp.Lsh(&tmp, uint(i*64)) + dst.Add(dst, &tmp) + } +} + +// Converts src to an array of uint64 values encoded in little-endian +// byte order. +func intGetU64(src *big.Int) []uint64 { + var tmp, mod big.Int + dst := make([]uint64, (src.BitLen()/64)+1) + + u64 := uint64(0) + u64-- + mod.SetUint64(u64) + for i := 0; i < (src.BitLen()/64)+1; i++ { + tmp.Set(src) + tmp.Rsh(&tmp, uint(i)*64) + tmp.And(&tmp, &mod) + dst[i] = tmp.Uint64() + } + return dst +} + +// Returns projective coordinate X of normalized EC 'point' (point.x / point.z). +func toNormX(point *point) big.Int { + var bigP, bigDnt, bigDor big.Int + + intSetU64(&bigP, p[:]) + intSetU64(&bigDnt, point.x[:]) + intSetU64(&bigDor, point.z[:]) + + bigDor.ModInverse(&bigDor, &bigP) + bigDnt.Mul(&bigDnt, &bigDor) + bigDnt.Mod(&bigDnt, &bigP) + return bigDnt +} + +// Converts string to fp element in Montgomery domain of cSIDH-512. +func toFp(num string) fp { + var tmp big.Int + var ok bool + var ret fp + + _, ok = tmp.SetString(num, 0) + if !ok { + panic("Can't parse a number") + } + toMont(&tmp, true) + copy(ret[:], intGetU64(&tmp)) + return ret +} diff --git a/src/circl/dh/curve4q/curve4Q.go b/src/circl/dh/curve4q/curve4Q.go new file mode 100644 index 00000000000..2af8616c322 --- /dev/null +++ b/src/circl/dh/curve4q/curve4Q.go @@ -0,0 +1,27 @@ +package curve4q + +import "circl/ecc/fourq" + +// Size is the size in bytes of keys. +const Size = 32 + +// Key represents a public or private key of FourQ. +type Key [Size]byte + +// KeyGen calculates a public key k from a secret key. +func KeyGen(public, secret *Key) { + var P fourq.Point + P.ScalarBaseMult((*[Size]byte)(secret)) + P.Marshal((*[Size]byte)(public)) +} + +// Shared calculates a shared key k from Alice's secret and Bob's public key. +// Returns true on success. +func Shared(shared, secret, public *Key) bool { + var P, Q fourq.Point + ok := P.Unmarshal((*[Size]byte)(public)) + Q.ScalarMult((*[Size]byte)(secret), &P) + Q.Marshal((*[Size]byte)(shared)) + ok = ok && Q.IsOnCurve() + return ok +} diff --git a/src/circl/dh/curve4q/curve4Q_test.go b/src/circl/dh/curve4q/curve4Q_test.go new file mode 100644 index 00000000000..923dab90b7f --- /dev/null +++ b/src/circl/dh/curve4q/curve4Q_test.go @@ -0,0 +1,78 @@ +package curve4q + +import ( + "bytes" + "crypto/rand" + "fmt" + "io" + "testing" + + "circl/internal/test" +) + +func TestDH(t *testing.T) { + var secretAlice, publicAlice, sharedAlice Key + var secretBob, publicBob, sharedBob Key + testTimes := 1 << 10 + + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(secretAlice[:]) + _, _ = rand.Read(secretBob[:]) + + KeyGen(&publicAlice, &secretAlice) + KeyGen(&publicBob, &secretBob) + + if ok := Shared(&sharedAlice, &secretAlice, &publicBob); !ok { + test.ReportError(t, ok, true, secretAlice, publicBob) + } + if ok := Shared(&sharedBob, &secretBob, &publicAlice); !ok { + test.ReportError(t, ok, true, secretBob, publicAlice) + } + + got := sharedAlice + want := sharedBob + if !bytes.Equal(got[:], want[:]) { + test.ReportError(t, got, want, secretAlice, secretBob) + } + } +} + +func BenchmarkDH(b *testing.B) { + var secret, public, shared Key + _, _ = rand.Read(secret[:]) + _, _ = rand.Read(public[:]) + + b.Run("keygen", func(b *testing.B) { + for i := 0; i < b.N; i++ { + KeyGen(&public, &secret) + } + }) + b.Run("shared", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Shared(&shared, &secret, &public) + } + }) +} + +func ExampleKey() { + var AliceSecret, BobSecret, + AlicePublic, BobPublic, + AliceShared, BobShared Key + + // Generating Alice's secret and public keys + _, _ = io.ReadFull(rand.Reader, AliceSecret[:]) + KeyGen(&AlicePublic, &AliceSecret) + + // Generating Bob's secret and public keys + _, _ = io.ReadFull(rand.Reader, BobSecret[:]) + KeyGen(&BobPublic, &BobSecret) + + // Deriving Alice's shared key + Shared(&AliceShared, &AliceSecret, &BobPublic) + + // Deriving Bob's shared key + Shared(&BobShared, &BobSecret, &AlicePublic) + + fmt.Println(AliceShared == BobShared) + // Output: true +} diff --git a/src/circl/dh/curve4q/doc.go b/src/circl/dh/curve4q/doc.go new file mode 100644 index 00000000000..5e34f806e96 --- /dev/null +++ b/src/circl/dh/curve4q/doc.go @@ -0,0 +1,8 @@ +// Package curve4q implements Diffie-Hellman operations using the FourQ curve +// at the 128-bit security level. +// +// References: +// - https://eprint.iacr.org/2015/565 +// - https://tools.ietf.org/html/draft-ladd-cfrg-4q-01 +// +package curve4q diff --git a/src/circl/dh/doc.go b/src/circl/dh/doc.go new file mode 100644 index 00000000000..0ce65b7a153 --- /dev/null +++ b/src/circl/dh/doc.go @@ -0,0 +1,2 @@ +// Package dh provides variety of Diffie-Hellman key exchange methods. +package dh diff --git a/src/circl/dh/sidh/doc.go b/src/circl/dh/sidh/doc.go new file mode 100644 index 00000000000..ef8a6d2a8f6 --- /dev/null +++ b/src/circl/dh/sidh/doc.go @@ -0,0 +1,30 @@ +// Package sidh provides implementation of experimental post-quantum +// Supersingular Isogeny Diffie-Hellman (SIDH) as well as Supersingular +// Isogeny Key Encapsulation (SIKE). +// +// It comes with implementations of 2 different field arithmetic +// implementations sidh.Fp503 and sidh.Fp751. +// +// | Algorithm | Public Key Size | Shared Secret Size | Ciphertext Size | +// |-----------|-----------------|--------------------|-----------------| +// | SIDH/p503 | 376 | 126 | N/A | +// | SIDH/p751 | 564 | 188 | N/A | +// | SIKE/p503 | 376 | 16 | 402 | +// | SIKE/p751 | 564 | 24 | 596 | +// +// In order to instantiate SIKE/p751 KEM one needs to create a KEM object +// and allocate internal structures. This can be done with NewSike751 helper. +// After that kem can be used multiple times. +// +// var kem = sike.NewSike751(rand.Reader) +// kem.Encapsulate(ciphertext, sharedSecret, publicBob) +// kem.Decapsulate(sharedSecret, privateBob, PublicBob, ciphertext) +// +// Code is optimized for AMD64 and aarch64. Generic implementation +// is provided for other architectures. +// +// References: +// - [SIDH] https://eprint.iacr.org/2011/506 +// - [SIKE] http://www.sike.org/files/SIDH-spec.pdf +// +package sidh diff --git a/src/circl/dh/sidh/internal/common/doc.go b/src/circl/dh/sidh/internal/common/doc.go new file mode 100644 index 00000000000..f606f420a58 --- /dev/null +++ b/src/circl/dh/sidh/internal/common/doc.go @@ -0,0 +1,2 @@ +// Package common provides types, variables, constants and functions commonly used in SIDH or SIKE. +package common diff --git a/src/circl/dh/sidh/internal/common/params.go b/src/circl/dh/sidh/internal/common/params.go new file mode 100644 index 00000000000..fe06a41c88b --- /dev/null +++ b/src/circl/dh/sidh/internal/common/params.go @@ -0,0 +1,24 @@ +package common + +import "fmt" + +// Keeps mapping: SIDH prime field ID to domain parameters +var sidhParams = make(map[uint8]SidhParams) + +// Params returns domain parameters corresponding to finite field and identified by +// `id` provided by the caller. Function panics in case `id` wasn't registered earlier. +func Params(id uint8) *SidhParams { + if val, ok := sidhParams[id]; ok { + return &val + } + panic("sidh: SIDH Params ID unregistered") +} + +// Registers SIDH parameters for particular field. +func Register(id uint8, p *SidhParams) { + if _, ok := sidhParams[id]; ok { + msg := fmt.Sprintf("sidh: Field with id %d already registered", id) + panic(msg) + } + sidhParams[id] = *p +} diff --git a/src/circl/dh/sidh/internal/common/types.go b/src/circl/dh/sidh/internal/common/types.go new file mode 100644 index 00000000000..dc5499691ca --- /dev/null +++ b/src/circl/dh/sidh/internal/common/types.go @@ -0,0 +1,106 @@ +package common + +const ( + // corresponds to words in P751 + FpMaxWords = 12 + // corresponds to byte size of P751 SIDH private key for B + MaxSidhPrivateKeyBsz = 48 + // corresponds to byte size of P751 SIKE private key for B + MaxSikePrivateKeyBsz = MaxSidhPrivateKeyBsz + MaxMsgBsz + // corresponds to SIKE max length of 'n' (see 1.4 of SIKE spec in NIST PQC round 1) + MaxMsgBsz = 40 + // corresponds to byte size of shared secret generated by SIKEp751 + MaxSharedSecretBsz = 188 + // corresponds to by size of the P751 public key + MaxPublicKeySz = 3 * FpMaxWords * 64 + // corresponds to by size of the ciphertext produced by SIKE/P751 + MaxCiphertextBsz = MaxMsgBsz + MaxPublicKeySz +) + +// Id's correspond to bitlength of the prime field characteristic +// Currently Fp751 is the only one supported by this implementation +const ( + Fp503 uint8 = iota + Fp751 + Fp434 +) + +// Representation of an element of the base field F_p. +// +// No particular meaning is assigned to the representation -- it could represent +// an element in Montgomery form, or not. Tracking the meaning of the field +// element is left to higher types. +type Fp [FpMaxWords]uint64 + +// Represents an intermediate product of two elements of the base field F_p. +type FpX2 [2 * FpMaxWords]uint64 + +// Represents an element of the extended field Fp^2 = Fp(x+i) +type Fp2 struct { + A Fp + B Fp +} + +type DomainParams struct { + // P, Q and R=P-Q base points + AffineP, AffineQ, AffineR Fp2 + // Size of a computation strategy for x-torsion group + IsogenyStrategy []uint32 + // Max size of secret key for x-torsion group + SecretBitLen uint + // Max size of secret key for x-torsion group + SecretByteLen uint +} + +type SidhParams struct { + ID uint8 + // Bytelen of P + Bytelen int + // The public key size, in bytes. + PublicKeySize int + // The shared secret size, in bytes. + SharedSecretSize int + // 2- and 3-torsion group parameter definitions + A, B DomainParams + // Precomputed identity element in the Fp2 in Montgomery domain + OneFp2 Fp2 + // Precomputed 1/2 in the Fp2 in Montgomery domain + HalfFp2 Fp2 + // Length of SIKE secret message. Must be one of {24,32,40}, + // depending on size of prime field used (see [SIKE], 1.4 and 5.1) + MsgLen int + // Length of SIKE ephemeral KEM key (see [SIKE], 1.4 and 5.1) + KemSize int + // Byte size of ciphertext that KEM produces + CiphertextSize int + // Defines A,C constant for starting curve Cy^2 = x^3 + Ax^2 + x + InitCurve ProjectiveCurveParameters +} + +// Stores curve projective parameters equivalent to A/C. Meaning of the +// values depends on the context. When working with isogenies over +// subgroup that are powers of: +// * three then (A:C) ~ (A+2C:A-2C) +// * four then (A:C) ~ (A+2C: 4C) +// See Appendix A of SIKE for more details +type CurveCoefficientsEquiv struct { + A Fp2 + C Fp2 +} + +// A point on the projective line P^1(F_{p^2}). +// +// This represents a point on the Kummer line of a Montgomery curve. The +// curve is specified by a ProjectiveCurveParameters struct. +type ProjectivePoint struct { + X Fp2 + Z Fp2 +} + +// A point on the projective line P^1(F_{p^2}). +// +// This is used to work projectively with the curve coefficients. +type ProjectiveCurveParameters struct { + A Fp2 + C Fp2 +} diff --git a/src/circl/dh/sidh/internal/common/utils.go b/src/circl/dh/sidh/internal/common/utils.go new file mode 100644 index 00000000000..8db334b81cf --- /dev/null +++ b/src/circl/dh/sidh/internal/common/utils.go @@ -0,0 +1,50 @@ +package common + +import "encoding/binary" + +// Constant time select. +// if pick == 1 (out = in1) +// if pick == 0 (out = in2) +// else out is undefined. +func Cpick(pick int, out, in1, in2 []byte) { + var which = byte((int8(pick << 7)) >> 7) + for i := range out { + out[i] = (in1[i] & which) | (in2[i] & ^which) + } +} + +// Read 2*bytelen(p) bytes into the given ExtensionFieldElement. +// +// It is an error to call this function if the input byte slice is less than 2*bytelen(p) bytes long. +func BytesToFp2(fp2 *Fp2, input []byte, bytelen int) { + if len(input) < 2*bytelen { + panic("input byte slice too short") + } + numW64 := (bytelen*8 + 63) / 64 + a := make([]byte, 8*numW64) + b := make([]byte, 8*numW64) + copy(a[:bytelen], input[:bytelen]) + copy(b[:bytelen], input[bytelen:]) + for i := 0; i < numW64; i++ { + fp2.A[i] = binary.LittleEndian.Uint64(a[i*8 : (i+1)*8]) + fp2.B[i] = binary.LittleEndian.Uint64(b[i*8 : (i+1)*8]) + } +} + +// Convert the input to wire format. +// +// The output byte slice must be at least 2*bytelen(p) bytes long. +func Fp2ToBytes(output []byte, fp2 *Fp2, bytelen int) { + if len(output) < 2*bytelen { + panic("output byte slice too short") + } + numW64 := (bytelen*8 + 63) / 64 + a := make([]byte, 8*numW64) + b := make([]byte, 8*numW64) + for i := 0; i < numW64; i++ { + binary.LittleEndian.PutUint64(a[i*8:(i+1)*8], fp2.A[i]) + binary.LittleEndian.PutUint64(b[i*8:(i+1)*8], fp2.B[i]) + } + copy(output[:bytelen], a[:bytelen]) + copy(output[bytelen:], b[:bytelen]) +} diff --git a/src/circl/dh/sidh/internal/p434/arith_amd64.s b/src/circl/dh/sidh/internal/p434/arith_amd64.s new file mode 100644 index 00000000000..67dcea8dfcc --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/arith_amd64.s @@ -0,0 +1,1232 @@ +// +build amd64,!noasm + +#include "textflag.h" + +// p434 +#define P434_0 $0xFFFFFFFFFFFFFFFF +#define P434_3 $0xFDC1767AE2FFFFFF +#define P434_4 $0x7BC65C783158AEA3 +#define P434_5 $0x6CFC5FD681C52056 +#define P434_6 $0x0002341F27177344 + +// p434 x 2 +#define P434X2_0 $0xFFFFFFFFFFFFFFFE +#define P434X2_1 $0xFFFFFFFFFFFFFFFF +#define P434X2_3 $0xFB82ECF5C5FFFFFF +#define P434X2_4 $0xF78CB8F062B15D47 +#define P434X2_5 $0xD9F8BFAD038A40AC +#define P434X2_6 $0x0004683E4E2EE688 + +// Redefine P434p1Zeros +#define P434_P1_ZEROS 3 + +// Performs schoolbook multiplication of 128-bit with 256-bit +// number. Uses MULX, ADOX, ADCX instruction. +#define MULX128x256(IDX, M0, M1, T0, T1, T2, T3, T4, T5, T6) \ + XORQ AX, AX \ + MOVQ (IDX)(M0), DX \ + MULXQ M1+ 0(SB), T0, T1 \ // T0 <- C0 + MULXQ M1+ 8(SB), T4, T2 \ + MULXQ M1+16(SB), T5, T3 \ + ADOXQ T4, T1 \ // T1: interm1 + ADOXQ T5, T2 \ // T2: interm2 + \ + MULXQ M1+24(SB), T5, T4 \ + ADOXQ T5, T3 \ // T3: interm3 + ADOXQ AX, T4 \ // T4: interm4 + \ + XORQ AX, AX \ + MOVQ (IDX+8)(M0), DX \ + MULXQ M1+ 0(SB), T5, T6 \ + ADCXQ T5, T1 \ // T1 <- C1 + ADCXQ T6, T2 \ + \ + MULXQ M1+ 8(SB), T6, T5 \ + ADCXQ T5, T3 \ + ADOXQ T6, T2 \ // T2 <- C2 + \ + MULXQ M1+16(SB), T6, T5 \ + ADCXQ T5, T4 \ + ADOXQ T6, T3 \ // T3 <- C3 + \ + MULXQ M1+24(SB), T6, T5 \ + ADCXQ AX, T5 \ + ADOXQ T6, T4 \ // T4 <- C4 + ADOXQ AX, T5 // T5 <- C5 + +// Performs schoolbook multiplication of 64-bit with 256-bit +// number. Uses MULX and ADOX instructions. +// +// Uses registers: DX,AX +#define MULX64x256(IDX, M0, M1, T0, T1, T2, T3, T4, T5) \ + XORQ AX, AX \ + MOVQ (IDX)(M0), DX \ + MULXQ M1+ 0(SB), T0, T1 \ // T0 <- C0 + MULXQ M1+ 8(SB), T4, T2 \ + MULXQ M1+16(SB), T5, T3 \ + \ + ADOXQ T4, T1 \ // T1 <- C1 + ADOXQ T5, T2 \ // T2 <- C2 + \ + MULXQ M1+24(SB), T5, T4 \ + ADOXQ T5, T3 \ // T3 <- C3 + ADOXQ AX, T4 // T4 <- C4 + +// Performs schoolbook multiplication of two 192-bit numbers +// number. Uses MULX and ADOX instructions. +// +// Uses registers: DX,AX +#define MULX192(IM0,M0,IM1,M1,ID,MDST,T0,T1,T2,T3,T4,T5,T6) \ + MOVQ (0+IM0)(M0), DX \ + MULXQ (0+IM1)(M1), T1, T0 \ // T0:T1 = A0*B0 + MOVQ T1,(ID+0)(MDST) \ // MDST0 + MULXQ (IM1+ 8)(M1), T2, T1 \ // T1:T2 = A0*B1 + XORQ AX, AX \ + ADOXQ T2, T0 \ + MULXQ (IM1+16)(M1),T3, T2 \ // T2:T3 = A0*B2 + ADOXQ T3, T1 \ + \ + MOVQ (IM0+8)(M0), DX \ + MULXQ (IM1+0)(M1), T4, T3 \ // T3:T4 = A1*B0 + ADOXQ AX, T2 \ + XORQ AX, AX \ + \ + MULXQ (IM1+8)(M1), T6, T5 \ // T6:T7 = A1*B1 + ADOXQ T0, T4 \ + MOVQ T4,(ID+8)(MDST) \ // MDST1 + ADCXQ T6, T3 \ + \ + MULXQ (IM1+16)(M1),T0, T6 \ // T6:T0 = A1*B2 + ADOXQ T1, T3 \ + ADCXQ T0, T5 \ + ADCXQ AX, T6 \ + ADOXQ T2, T5 \ + \ + MOVQ (IM0+16)(M0),DX \ + MULXQ (IM1+ 0)(M1), T0, T1 \ // T1:T0 = A2*B0 + ADOXQ AX, T6 \ + XORQ AX, AX \ + \ + MULXQ (IM1+ 8)(M1), T2, T4 \ // T4:T2 = A2*B1 + ADOXQ T3, T0 \ + MOVQ T0, (ID+16)(MDST) \ // MDST2 + ADCXQ T5, T1 \ + \ + MULXQ (IM1+16)(M1),T3, T0 \ // T0:T3 = A2*B2 + ADCXQ T6, T4 \ + ADCXQ AX, T0 \ + ADOXQ T2, T1 \ + ADOXQ T4, T3 \ + ADOXQ AX, T0 \ + MOVQ T1, (ID+24)(MDST) \ // MDST3 + MOVQ T3, (ID+32)(MDST) \ // MDST4 + MOVQ T0, (ID+40)(MDST) // MDST5 + +// Performs schoolbook multiplication of 2 256-bit numbers. Uses +// MULX instruction. Result is stored in 256 bits pointed by $DST. +// +// Uses registers: DX,AX +#define MULX256(IM0,M0,IM1,M1,ID,MDST,T0,T1,T2,T3,T4,T5,T6,T7,T8,T9) \ + MOVQ (IM0+0)(M0), DX \ + MULXQ (IM1+0)(M1), T1, T0 \ // A0*B[0-3] + MOVQ T1, (ID+0)(MDST) \ + MULXQ (IM1+8)(M1), T2, T1 \ + XORQ AX, AX \ + ADOXQ T2, T0 \ + MULXQ (IM1+16)(M1),T3, T2 \ + ADOXQ T3, T1 \ + MULXQ (IM1+24)(M1),T4, T3 \ + ADOXQ T4, T2 \ + \ + MOVQ (IM0+8)(M0), DX \ + MULXQ (IM1+0)(M1), T4, T5 \ // A1*B[0-3] + ADOXQ AX, T3 \ + XORQ AX, AX \ + MULXQ (IM1+8)(M1), T7, T6 \ + ADOXQ T0, T4 \ + MOVQ T4, (ID+8)(MDST) \ + ADCXQ T7, T5 \ + MULXQ (IM1+16)(M1),T8, T7 \ + ADCXQ T8, T6 \ + ADOXQ T1, T5 \ + MULXQ (IM1+24)(M1),T9, T8 \ + ADCXQ T9, T7 \ + ADCXQ AX, T8 \ + ADOXQ T2, T6 \ + \ + MOVQ (IM0+16)(M0),DX \ // A2*B[0-3] + MULXQ (IM1+ 0)(M1), T0, T1 \ + ADOXQ T3, T7 \ + ADOXQ AX, T8 \ + XORQ AX, AX \ + MULXQ (IM1+8)(M1), T3, T2 \ + ADOXQ T5, T0 \ + MOVQ T0, (ID+16)(MDST) \ + ADCXQ T3, T1 \ + MULXQ (IM1+16)(M1),T4, T3 \ + ADCXQ T4, T2 \ + ADOXQ T6, T1 \ + MULXQ (IM1+24)(M1),T9, T4 \ + ADCXQ T9, T3 \ + ADCXQ AX, T4 \ + \ + ADOXQ T7, T2 \ + ADOXQ T8, T3 \ + ADOXQ AX, T4 \ + \ + MOVQ (IM0+24)(M0),DX \ + MULXQ (IM1+ 0)(M1), T0, T5\ // A3*B[0-3] + XORQ AX, AX \ + MULXQ (IM1+ 8)(M1), T7, T6\ + ADCXQ T7, T5 \ + ADOXQ T0, T1 \ + MULXQ (IM1+16)(M1), T8, T7 \ + ADCXQ T8, T6 \ + ADOXQ T5, T2 \ + MULXQ (IM1+24)(M1), T9, T8 \ + ADCXQ T9, T7 \ + ADCXQ AX, T8 \ + ADOXQ T6, T3 \ + ADOXQ T7, T4 \ + ADOXQ AX, T8 \ + MOVQ T1, (ID+24)(MDST) \ + MOVQ T2, (ID+32)(MDST) \ + MOVQ T3, (ID+40)(MDST) \ + MOVQ T4, (ID+48)(MDST) \ + MOVQ T8, (ID+56)(MDST) + +// Performs schoolbook multiplication of 64-bit with 256-bit +// number. +// +// Uses registers: DX, AX +#define MUL64x256(IDX,M0,M1,C0,C1,C2,C3,C4,T0) \ + MOVQ (IDX)(M0), T0 \ + \ + XORQ C2, C2 \ + MOVQ M1+0(SB), AX \ + MULQ T0 \ + MOVQ AX, C0 \ + MOVQ DX, C1 \ + \ + XORQ C3, C3 \ + MOVQ M1+8(SB), AX \ + MULQ T0 \ + ADDQ AX, C1 \ + ADCQ DX, C2 \ + \ + XORQ C4, C4 \ + MOVQ M1+16(SB), AX \ + MULQ T0 \ + ADDQ AX, C2 \ + ADCQ DX, C3 \ + \ + MOVQ M1+24(SB), AX \ + MULQ T0 \ + ADDQ AX, C3 \ + ADCQ DX, C4 + +// Performs schoolbook multiplication of 128-bit with 256-bit +// number. Destroys RAX and RDX +// +// Uses registers: DX, AX +#define MUL128x256(IDX,M0,M1,C0,C1,C2,C3,C4,C5,T0,T1) \ + \ // A0 x B0 + MOVQ (IDX+0)(M0), T0 \ + MOVQ M1+0(SB), AX \ + MULQ T0 \ + XORQ C2, C2 \ + MOVQ AX, C0 \ + MOVQ DX, C1 \ + \ // A0 x B1 + MOVQ M1+8(SB), AX \ + MULQ T0 \ + XORQ C3, C3 \ + ADDQ AX, C1 \ + ADCQ DX, C2 \ + \ // A1 x B0 + MOVQ (IDX+8)(M0), T1 \ + MOVQ M1+0(SB), AX \ + MULQ T1 \ + ADDQ AX, C1 \ + ADCQ DX, C2 \ + ADCQ $0, C3 \ + \ // A0 x B2 + XORQ C4, C4 \ + MOVQ M1+16(SB), AX \ + MULQ T0 \ + ADDQ AX, C2 \ + ADCQ DX, C3 \ + ADCQ $0, C4 \ + \ // A1 x B1 + MOVQ M1+8(SB), AX \ + MULQ T1 \ + ADDQ AX, C2 \ + ADCQ DX, C3 \ + ADCQ $0, C4 \ + \ // A0 x B3 + MOVQ M1+24(SB), AX \ + MULQ T0 \ + XORQ C5, C5 \ + ADDQ AX, C3 \ + ADCQ DX, C4 \ + ADCQ $0, C5 \ + \ // A1 x B2 + MOVQ M1+16(SB), AX \ + MULQ T1 \ + ADDQ AX, C3 \ + ADCQ DX, C4 \ + ADCQ $0, C5 \ + \ // A1 x B3 + MOVQ M1+24(SB), AX \ + MULQ T1 \ + ADDQ AX, C4 \ + ADCQ DX, C5 + +#define REDC_COMMON(MUL01, MUL23, MUL45, MUL67) \ + MUL01 \ + XORQ CX, CX \ + ADDQ 0x18(DI), R8 \ + ADCQ 0x20(DI), R9 \ + ADCQ 0x28(DI), R10 \ + ADCQ 0x30(DI), R11 \ + ADCQ 0x38(DI), R12 \ + ADCQ 0x40(DI), R13 \ + ADCQ 0x48(DI), CX \ + MOVQ R8, 0x18(DI) \ + MOVQ R9, 0x20(DI) \ + MOVQ R10, 0x28(DI) \ + MOVQ R11, 0x30(DI) \ + MOVQ R12, 0x38(DI) \ + MOVQ R13, 0x40(DI) \ + MOVQ CX, 0x48(DI) \ + MOVQ 0x50(DI), R8 \ + MOVQ 0x58(DI), R9 \ + MOVQ 0x60(DI), R10 \ + MOVQ 0x68(DI), R11 \ + ADCQ $0, R8 \ + ADCQ $0, R9 \ + ADCQ $0, R10 \ + ADCQ $0, R11 \ + MOVQ R8, 0x50(DI) \ + MOVQ R9, 0x58(DI) \ + MOVQ R10, 0x60(DI) \ + MOVQ R11, 0x68(DI) \ + \ + MUL23 \ + XORQ CX, CX \ + ADDQ 0x28(DI), R8 \ + ADCQ 0x30(DI), R9 \ + ADCQ 0x38(DI), R10 \ + ADCQ 0x40(DI), R11 \ + ADCQ 0x48(DI), R12 \ + ADCQ 0x50(DI), R13 \ + ADCQ 0x58(DI), CX \ + MOVQ R8, 0x28(DI) \ + MOVQ R9, 0x30(DI) \ + MOVQ R10, 0x38(DI) \ + MOVQ R11, 0x40(DI) \ + MOVQ R12, 0x48(DI) \ + MOVQ R13, 0x50(DI) \ + MOVQ CX, 0x58(DI) \ + MOVQ 0x60(DI), R8 \ + MOVQ 0x68(DI), R9 \ + ADCQ $0, R8 \ + ADCQ $0, R9 \ + MOVQ R8, 0x60(DI) \ + MOVQ R9, 0x68(DI) \ + \ + MUL45 \ + XORQ CX, CX \ + ADDQ 0x38(DI), R8 \ + ADCQ 0x40(DI), R9 \ + ADCQ 0x48(DI), R10 \ + ADCQ 0x50(DI), R11 \ + ADCQ 0x58(DI), R12 \ + ADCQ 0x60(DI), R13 \ + ADCQ 0x68(DI), CX \ + MOVQ R8, 0x0(SI) \ // OUT0 + MOVQ R9, 0x8(SI) \ // OUT1 + MOVQ R10, 0x48(DI) \ + MOVQ R11, 0x50(DI) \ + MOVQ R12, 0x58(DI) \ + MOVQ R13, 0x60(DI) \ + MOVQ CX, 0x68(DI) \ + \ + MUL67 \ + ADDQ 0x48(DI), R8 \ + ADCQ 0x50(DI), R9 \ + ADCQ 0x58(DI), R10 \ + ADCQ 0x60(DI), R11 \ + ADCQ 0x68(DI), R12 \ + MOVQ R8, 0x10(SI) \ // OUT2 + MOVQ R9, 0x18(SI) \ // OUT3 + MOVQ R10, 0x20(SI) \ // OUT4 + MOVQ R11, 0x28(SI) \ // OUT5 + MOVQ R12, 0x30(SI) // OUT6 + +TEXT ·cswapP434(SB),NOSPLIT,$0-17 + + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + MOVB choice+16(FP), AL // AL = 0 or 1 + MOVBLZX AL, AX // AX = 0 or 1 + NEGQ AX // AX = 0x00..00 or 0xff..ff +#ifndef CSWAP_BLOCK +#define CSWAP_BLOCK(idx) \ + MOVQ (idx*8)(DI), BX \ // BX = x[idx] + MOVQ (idx*8)(SI), CX \ // CX = y[idx] + MOVQ CX, DX \ // DX = y[idx] + XORQ BX, DX \ // DX = y[idx] ^ x[idx] + ANDQ AX, DX \ // DX = (y[idx] ^ x[idx]) & mask + XORQ DX, BX \ // BX = (y[idx] ^ x[idx]) & mask) ^ x[idx] = x[idx] or y[idx] + XORQ DX, CX \ // CX = (y[idx] ^ x[idx]) & mask) ^ y[idx] = y[idx] or x[idx] + MOVQ BX, (idx*8)(DI) \ + MOVQ CX, (idx*8)(SI) +#endif + CSWAP_BLOCK(0) + CSWAP_BLOCK(1) + CSWAP_BLOCK(2) + CSWAP_BLOCK(3) + CSWAP_BLOCK(4) + CSWAP_BLOCK(5) + CSWAP_BLOCK(6) +#ifdef CSWAP_BLOCK +#undef CSWAP_BLOCK +#endif + RET + +TEXT ·addP434(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DX + MOVQ x+8(FP), DI + MOVQ y+16(FP), SI + + // Used later to calculate a mask + XORQ CX, CX + + // [R8-R14]: z = x + y + MOVQ ( 0)(DI), R8; ADDQ ( 0)(SI), R8 + MOVQ ( 8)(DI), R9; ADCQ ( 8)(SI), R9 + MOVQ (16)(DI), R10; ADCQ (16)(SI), R10 + MOVQ (24)(DI), R11; ADCQ (24)(SI), R11 + MOVQ (32)(DI), R12; ADCQ (32)(SI), R12 + MOVQ (40)(DI), R13; ADCQ (40)(SI), R13 + MOVQ (48)(DI), R14; ADCQ (48)(SI), R14 + + XORQ DI, DI + + MOVQ P434X2_0, AX; SUBQ AX, R8 + MOVQ P434X2_1, AX; SBBQ AX, R9 + SBBQ AX, R10 + MOVQ P434X2_3, AX; SBBQ AX, R11 + MOVQ P434X2_4, AX; SBBQ AX, R12 + MOVQ P434X2_5, AX; SBBQ AX, R13 + MOVQ P434X2_6, AX; SBBQ AX, R14 + + // mask + SBBQ $0, CX + + // if z<0 add P434x2 back + MOVQ P434X2_0, R15; ANDQ CX, R15; + MOVQ P434X2_1, AX; ANDQ CX, AX; + + ADDQ R8, R15; MOVQ R15, ( 0)(DX) + ADCQ AX, R9; MOVQ R9, ( 8)(DX) + ADCQ AX, R10; MOVQ R10, (16)(DX) + + ADCQ $0, DI + MOVQ P434X2_3, R15; ANDQ CX, R15; + MOVQ P434X2_4, R8; ANDQ CX, R8; + MOVQ P434X2_5, R9; ANDQ CX, R9; + MOVQ P434X2_6, R10; ANDQ CX, R10; + BTQ $0, DI + + ADCQ R11, R15; MOVQ R15, (24)(DX) + ADCQ R12, R8; MOVQ R8, (32)(DX) + ADCQ R13, R9; MOVQ R9, (40)(DX) + ADCQ R14, R10; MOVQ R10, (48)(DX) + + RET + +TEXT ·adlP434(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DX + MOVQ x+8(FP), DI + MOVQ y+16(FP),SI + + MOVQ ( 0)(DI), R8 + ADDQ ( 0)(SI), R8 + MOVQ ( 8)(DI), R9 + ADCQ ( 8)(SI), R9 + MOVQ (16)(DI), R10 + ADCQ (16)(SI), R10 + MOVQ (24)(DI), R11 + ADCQ (24)(SI), R11 + MOVQ (32)(DI), R12 + ADCQ (32)(SI), R12 + MOVQ (40)(DI), R13 + ADCQ (40)(SI), R13 + MOVQ (48)(DI), R14 + ADCQ (48)(SI), R14 + MOVQ (56)(DI), R15 + ADCQ (56)(SI), R15 + MOVQ (64)(DI), AX + ADCQ (64)(SI), AX + MOVQ (72)(DI), BX + ADCQ (72)(SI), BX + MOVQ (80)(DI), CX + ADCQ (80)(SI), CX + + MOVQ R8, ( 0)(DX) + MOVQ R9, ( 8)(DX) + MOVQ R10,(16)(DX) + MOVQ R11,(24)(DX) + MOVQ R12,(32)(DX) + MOVQ R13,(40)(DX) + MOVQ R14,(48)(DX) + MOVQ R15,(56)(DX) + MOVQ AX, (64)(DX) + MOVQ BX, (72)(DX) + MOVQ CX, (80)(DX) + + MOVQ (88)(DI), R8 + ADCQ (88)(SI), R8 + MOVQ (96)(DI), R9 + ADCQ (96)(SI), R9 + MOVQ (104)(DI), R10 + ADCQ (104)(SI), R10 + + MOVQ R8, (88)(DX) + MOVQ R9, (96)(DX) + MOVQ R10,(104)(DX) + RET + +TEXT ·subP434(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DX + MOVQ x+8(FP), DI + MOVQ y+16(FP), SI + + // Used later to calculate a mask + XORQ CX, CX + + MOVQ ( 0)(DI), R8; SUBQ ( 0)(SI), R8 + MOVQ ( 8)(DI), R9; SBBQ ( 8)(SI), R9 + MOVQ (16)(DI), R10; SBBQ (16)(SI), R10 + MOVQ (24)(DI), R11; SBBQ (24)(SI), R11 + MOVQ (32)(DI), R12; SBBQ (32)(SI), R12 + MOVQ (40)(DI), R13; SBBQ (40)(SI), R13 + MOVQ (48)(DI), R14; SBBQ (48)(SI), R14 + + // mask + SBBQ $0, CX + XORQ R15, R15 + + // if z<0 add p434x2 back + MOVQ P434X2_0, DI; ANDQ CX, DI + MOVQ P434X2_1, SI; ANDQ CX, SI + MOVQ P434X2_3, AX; ANDQ CX, AX + + ADDQ DI, R8; MOVQ R8, ( 0)(DX) + ADCQ SI, R9; MOVQ R9, ( 8)(DX) + ADCQ SI, R10; MOVQ R10, (16)(DX) + ADCQ AX, R11; MOVQ R11, (24)(DX) + ADCQ $0, R15 + + MOVQ P434X2_4, R8; ANDQ CX, R8; + MOVQ P434X2_5, R9; ANDQ CX, R9; + MOVQ P434X2_6, R10; ANDQ CX, R10 + + BTQ $0, R15 + + ADCQ R8, R12; MOVQ R12, (32)(DX) + ADCQ R9, R13; MOVQ R13, (40)(DX) + ADCQ R10, R14; MOVQ R14, (48)(DX) + RET + +TEXT ·sulP434(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DX + MOVQ x+8(FP), DI + MOVQ y+16(FP), SI + + // Used later to store result of 0-borrow + XORQ CX, CX + + // SUBC for first 10 limbs + MOVQ ( 0)(DI), R8; SUBQ ( 0)(SI), R8 + MOVQ ( 8)(DI), R9; SBBQ ( 8)(SI), R9 + MOVQ (16)(DI), R10; SBBQ (16)(SI), R10 + MOVQ (24)(DI), R11; SBBQ (24)(SI), R11 + MOVQ (32)(DI), R12; SBBQ (32)(SI), R12 + MOVQ (40)(DI), R13; SBBQ (40)(SI), R13 + MOVQ (48)(DI), R14; SBBQ (48)(SI), R14 + MOVQ (56)(DI), R15; SBBQ (56)(SI), R15 + MOVQ (64)(DI), AX; SBBQ (64)(SI), AX + MOVQ (72)(DI), BX; SBBQ (72)(SI), BX + + MOVQ R8, ( 0)(DX) + MOVQ R9, ( 8)(DX) + MOVQ R10, (16)(DX) + MOVQ R11, (24)(DX) + MOVQ R12, (32)(DX) + MOVQ R13, (40)(DX) + MOVQ R14, (48)(DX) + MOVQ R15, (56)(DX) + MOVQ AX, (64)(DX) + MOVQ BX, (72)(DX) + + // SUBC for last 4 limbs + MOVQ ( 80)(DI), R8; SBBQ ( 80)(SI), R8 + MOVQ ( 88)(DI), R9; SBBQ ( 88)(SI), R9 + MOVQ ( 96)(DI), R10; SBBQ ( 96)(SI), R10 + MOVQ (104)(DI), R11; SBBQ (104)(SI), R11 + + // Store carry flag + SBBQ $0, CX + + MOVQ R8, ( 80)(DX) + MOVQ R9, ( 88)(DX) + MOVQ R10, ( 96)(DX) + MOVQ R11, (104)(DX) + + // Load p into registers: + MOVQ P434_0, R8; ANDQ CX, R8 + // P434_{1,2} = P434_0, so reuse R8 + MOVQ P434_3, R9; ANDQ CX, R9 + MOVQ P434_4, R10; ANDQ CX, R10 + MOVQ P434_5, R11; ANDQ CX, R11 + MOVQ P434_6, R12; ANDQ CX, R12 + + MOVQ (56 )(DX), AX; ADDQ R8, AX; MOVQ AX, (56 )(DX) + MOVQ (56+ 8)(DX), AX; ADCQ R8, AX; MOVQ AX, (56+ 8)(DX) + MOVQ (56+16)(DX), AX; ADCQ R8, AX; MOVQ AX, (56+16)(DX) + MOVQ (56+24)(DX), AX; ADCQ R9, AX; MOVQ AX, (56+24)(DX) + MOVQ (56+32)(DX), AX; ADCQ R10, AX; MOVQ AX, (56+32)(DX) + MOVQ (56+40)(DX), AX; ADCQ R11, AX; MOVQ AX, (56+40)(DX) + MOVQ (56+48)(DX), AX; ADCQ R12, AX; MOVQ AX, (56+48)(DX) + + RET + +TEXT ·modP434(SB),NOSPLIT,$0-8 + MOVQ x+0(FP), DI + + // Zero AX for later use: + XORQ AX, AX + + // Set x <- x - p + MOVQ P434_0, R8 + SUBQ R8, ( 0)(DI) + // P434_{1,2} = P434_0, so reuse R8 + MOVQ P434_3, R9 + SBBQ R8, ( 8)(DI) + SBBQ R8, (16)(DI) + MOVQ P434_4, R10 + SBBQ R9, (24)(DI) + MOVQ P434_5, R11 + SBBQ R10, (32)(DI) + MOVQ P434_6, R12 + SBBQ R11, (40)(DI) + SBBQ R12, (48)(DI) + + // save carry + SBBQ $0, AX + + // Conditionally add p to x if x-p < 0 + ANDQ AX, R8 + ANDQ AX, R9 + ANDQ AX, R10 + ANDQ AX, R11 + ANDQ AX, R12 + + ADDQ R8, ( 0)(DI) + ADCQ R8, ( 8)(DI) + ADCQ R8, (16)(DI) + ADCQ R9, (24)(DI) + ADCQ R10,(32)(DI) + ADCQ R11,(40)(DI) + ADCQ R12,(48)(DI) + RET + +// 434-bit multiplication using Karatsuba (one level), +// schoolbook (one level). +TEXT ·mulP434(SB),NOSPLIT,$112-24 + MOVQ z+0(FP), CX + MOVQ x+8(FP), DI + MOVQ y+16(FP), SI + + // Check whether to use optimized implementation + CMPB ·HasADXandBMI2(SB), $1 + JE mul_with_mulx_adcx_adox + + // rcx[0-3] <- AH+AL + XORQ AX, AX + MOVQ 0x20(DI), R8 + MOVQ 0x28(DI), R9 + MOVQ 0x30(DI), R10 + XORQ R11, R11 + ADDQ 0x0(DI), R8 + ADCQ 0x8(DI), R9 + ADCQ 0x10(DI), R10 + ADCQ 0x18(DI), R11 + // store AH+AL mask + SBBQ $0, AX + MOVQ AX, 0x40(SP) + // store AH+AL in 0-0x18(rcx) + MOVQ R8, 0x0(CX) + MOVQ R9, 0x8(CX) + MOVQ R10, 0x10(CX) + MOVQ R11, 0x18(CX) + + // r12-r15 <- BH+BL + XORQ DX, DX + MOVQ 0x20(SI), R12 + MOVQ 0x28(SI), R13 + MOVQ 0x30(SI), R14 + XORQ R15, R15 + ADDQ 0x0(SI), R12 + ADCQ 0x8(SI), R13 + ADCQ 0x10(SI), R14 + ADCQ 0x18(SI), R15 + SBBQ $0, DX + + // store BH+BL mask + MOVQ DX, 0x48(SP) + + // (rsp[0-0x38]) <- (AH+AL)*(BH+BL) + MOVQ (CX), AX + MULQ R12 + MOVQ AX, (SP) + MOVQ DX, R8 + + XORQ R9, R9 + MOVQ (CX), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + + XORQ R10, R10 + MOVQ 0x8(CX), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, 0x8(SP) + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (CX), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x10(CX), AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x8(CX), AX + MULQ R13 + ADDQ AX, R9 + MOVQ R9, 0x10(SP) + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (CX),AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ 0x18(CX), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ 0x8(CX), AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ 0x10(CX), AX + MULQ R13 + ADDQ AX, R10 + MOVQ R10, 0x18(SP) + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ 0x8(CX), AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ 0x18(CX), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ 0x10(CX), AX + MULQ R14 + ADDQ AX, R8 + MOVQ R8, 0x20(SP) + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R11, R11 + MOVQ 0x10(CX), AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R11 + + MOVQ 0x18(CX), AX + MULQ R14 + ADDQ AX, R9 + MOVQ R9, 0x28(SP) + ADCQ DX, R10 + ADCQ $0, R11 + + MOVQ 0x18(CX), AX + MULQ R15 + ADDQ AX, R10 + MOVQ R10, 0x30(SP) + ADCQ DX, R11 + MOVQ R11,0x38(SP) + + // r12-r15 <- masked (BH + BL) + MOVQ 0x40(SP), AX + ANDQ AX, R12 + ANDQ AX, R13 + ANDQ AX, R14 + ANDQ AX, R15 + + // r8-r11 <- masked (AH + AL) + MOVQ 0x48(SP), AX + MOVQ 0x00(CX), R8 + ANDQ AX, R8 + MOVQ 0x08(CX), R9 + ANDQ AX, R9 + MOVQ 0x10(CX), R10 + ANDQ AX, R10 + MOVQ 0x18(CX), R11 + ANDQ AX, R11 + + // r12-r15 <- masked (AH + AL) + masked (BH + BL) + ADDQ R8, R12 + ADCQ R9, R13 + ADCQ R10, R14 + ADCQ R11, R15 + + // rsp[0x20-0x38] <- (AH+AL) x (BH+BL) high + MOVQ 0x20(SP), AX + ADDQ AX, R12 + MOVQ 0x28(SP), AX + ADCQ AX, R13 + MOVQ 0x30(SP), AX + ADCQ AX, R14 + MOVQ 0x38(SP), AX + ADCQ AX, R15 + MOVQ R12, 0x50(SP) + MOVQ R13, 0x58(SP) + MOVQ R14, 0x60(SP) + MOVQ R15, 0x68(SP) + + // [rcx] <- CL = AL x BL + MOVQ (DI), R11 + MOVQ (SI), AX + MULQ R11 + XORQ R9, R9 + MOVQ AX, (CX) + MOVQ DX, R8 + + MOVQ 0x10(DI), R14 + MOVQ 0x8(SI), AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + ADCQ DX, R9 + + MOVQ 0x8(DI), R12 + MOVQ (SI), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, 0x8(CX) + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ 0x10(SI), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (SI), R13 + MOVQ R14, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x8(SI), AX + MULQ R12 + ADDQ AX, R9 + MOVQ R9, 0x10(CX) + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ 0x18(SI), AX + MULQ R11 + MOVQ 0x18(DI), R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ R15, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ 0x10(SI), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ 0x8(SI), AX + MULQ R14 + ADDQ AX, R10 + MOVQ R10, 0x18(CX) + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ 0x18(SI), AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ 0x8(SI), AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ 0x10(SI), AX + MULQ R14 + ADDQ AX, R8 + MOVQ R8, 0x20(CX) + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ 0x18(SI), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x10(SI), AX + MULQ R15 + ADDQ AX, R9 + MOVQ R9, 0x28(CX) + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x18(SI), AX + MULQ R15 + ADDQ AX, R10 + MOVQ R10, 0x30(CX) + ADCQ DX, R8 + MOVQ R8, 0x38(CX) + + // rcx[0x40-0x68] <- AH*BH + // multiplies 2 192-bit numbers A,B + MOVQ 0x20(DI), R11 + MOVQ 0x20(SI), AX + MULQ R11 + XORQ R9, R9 + MOVQ AX, 0x40(CX) + MOVQ DX, R8 + + MOVQ 0x30(DI), R14 + MOVQ 0x28(SI), AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + ADCQ DX, R9 + + MOVQ 0x28(DI), R12 + MOVQ 0x20(SI), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, 0x48(CX) + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ 0x30(SI), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x20(SI), R13 + MOVQ R14, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x28(SI), AX + MULQ R12 + ADDQ AX, R9 + MOVQ R9, 0x50(CX) + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ 0x30(SI), AX + MULQ R12 + XORQ R12, R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R12 + + MOVQ 0x28(SI), AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R12 + MOVQ R10, 0x58(CX) + + MOVQ 0x30(SI), AX + MULQ R14 + ADDQ AX, R8 + ADCQ $0, R12 + MOVQ R8, 0x60(CX) + + ADDQ R12, DX + + // [r8-r15] <- (AH+AL)x(BH+BL) - ALxBL + MOVQ 0x0(SP), R8 + SUBQ 0x0(CX), R8 + MOVQ 0x8(SP), R9 + SBBQ 0x8(CX), R9 + MOVQ 0x10(SP), R10 + SBBQ 0x10(CX), R10 + MOVQ 0x18(SP), R11 + SBBQ 0x18(CX), R11 + MOVQ 0x50(SP), R12 + SBBQ 0x20(CX), R12 + MOVQ 0x58(SP), R13 + SBBQ 0x28(CX), R13 + MOVQ 0x60(SP), R14 + SBBQ 0x30(CX), R14 + MOVQ 0x68(SP), R15 + SBBQ 0x38(CX), R15 + + // [r8-r15] <- (AH+AL) x (BH+BL) - ALxBL - AHxBH + MOVQ 0x40(CX), AX + SUBQ AX, R8 + MOVQ 0x48(CX), AX + SBBQ AX, R9 + MOVQ 0x50(CX), AX + SBBQ AX, R10 + MOVQ 0x58(CX), AX + SBBQ AX, R11 + MOVQ 0x60(CX), AX + SBBQ AX, R12 + SBBQ DX, R13 + SBBQ $0, R14 + SBBQ $0, R15 + + // Final result + ADDQ 0x20(CX), R8 + MOVQ R8, 0x20(CX) // OUT4 + ADCQ 0x28(CX), R9 + MOVQ R9, 0x28(CX) // OUT5 + ADCQ 0x30(CX), R10 + MOVQ R10, 0x30(CX) // OUT6 + ADCQ 0x38(CX), R11 + MOVQ R11, 0x38(CX) // OUT7 + ADCQ 0x40(CX), R12 + MOVQ R12, 0x40(CX) // OUT8 + ADCQ 0x48(CX), R13 + MOVQ R13, 0x48(CX) // OUT9 + ADCQ 0x50(CX), R14 + MOVQ R14, 0x50(CX) // OUT10 + ADCQ 0x58(CX), R15 + MOVQ R15, 0x58(CX) // OUT11 + MOVQ 0x60(CX), R12 + ADCQ $0, R12 + MOVQ R12, 0x60(CX) // OUT12 + ADCQ $0, DX + MOVQ DX, 0x68(CX) // OUT13 + RET + +mul_with_mulx_adcx_adox: + // Mul implementation for CPUs supporting two independent carry chain + // (ADOX/ADCX) instructions and carry-less MULX multiplier + XORQ AX, AX + MOVQ 0x0(DI), R8 + MOVQ 0x8(DI), R9 + MOVQ 0x10(DI), R10 + MOVQ 0x18(DI), R11 + + MOVQ BP, 0x70(SP) + + ADDQ 0x20(DI), R8 + ADCQ 0x28(DI), R9 + ADCQ 0x30(DI), R10 + ADCQ $0, R11 + SBBQ $0, AX + MOVQ R8, 0x0(SP) + MOVQ R9, 0x8(SP) + MOVQ R10, 0x10(SP) + MOVQ R11, 0x18(SP) + + // r12-r15 <- BH + BL, rbx <- mask + XORQ BX, BX + MOVQ 0x0(SI), R12 + MOVQ 0x8(SI), R13 + MOVQ 0x10(SI), R14 + MOVQ 0x18(SI), R15 + ADDQ 0x20(SI), R12 + ADCQ 0x28(SI), R13 + ADCQ 0x30(SI), R14 + ADCQ $0, R15 + SBBQ $0, BX + MOVQ R12, 0x20(SP) + MOVQ R13, 0x28(SP) + MOVQ R14, 0x30(SP) + MOVQ R15, 0x38(SP) + + // r12-r15 <- masked (BH + BL) + ANDQ AX, R12 + ANDQ AX, R13 + ANDQ AX, R14 + ANDQ AX, R15 + + // r8-r11 <- masked (AH + AL) + ANDQ BX, R8 + ANDQ BX, R9 + ANDQ BX, R10 + ANDQ BX, R11 + + // r8-r11 <- masked (AH + AL) + masked (BH + BL) + ADDQ R12, R8 + ADCQ R13, R9 + ADCQ R14, R10 + ADCQ R15, R11 + MOVQ R8, 0x40(SP) + MOVQ R9, 0x48(SP) + MOVQ R10, 0x50(SP) + MOVQ R11, 0x58(SP) + + // [rsp] <- CM = (AH+AL) x (BH+BL) + MULX256(0,SP,32,SP,0,SP,R8,R9,R10,R11,R12,R13,R14,R15,BX,BP) + // [rcx] <- CL = AL x BL (Result c0-c3) + MULX256(0,DI,0,SI,0,CX,R8,R9,R10,R11,R12,R13,R14,R15,BX,BP) + // [rcx+64] <- CH = AH x BH + MULX192(32,DI,32,SI,64,CX,R8,R9,R10,R11,R12,R13,R14) + + // r8-r11 <- (AH+AL) x (BH+BL), final step + MOVQ 0x40(SP), R8 + MOVQ 0x48(SP), R9 + MOVQ 0x50(SP), R10 + MOVQ 0x58(SP), R11 + + MOVQ 0x20(SP), AX + ADDQ AX, R8 + MOVQ 0x28(SP), AX + ADCQ AX, R9 + MOVQ 0x30(SP), AX + ADCQ AX, R10 + MOVQ 0x38(SP), AX + ADCQ AX, R11 + + // [rsp], x3-x5 <- (AH+AL) x (BH+BL) - ALxBL + MOVQ 0x0(SP), R12 + MOVQ 0x8(SP), R13 + MOVQ 0x10(SP), R14 + MOVQ 0x18(SP), R15 + SUBQ 0x0(CX), R12 + SBBQ 0x8(CX), R13 + SBBQ 0x10(CX), R14 + SBBQ 0x18(CX), R15 + SBBQ 0x20(CX), R8 + SBBQ 0x28(CX), R9 + SBBQ 0x30(CX), R10 + SBBQ 0x38(CX), R11 + + // r8-r15 <- (AH+AL) x (BH+BL) - ALxBL - AHxBH + SUBQ 0x40(CX), R12 + SBBQ 0x48(CX), R13 + SBBQ 0x50(CX), R14 + SBBQ 0x58(CX), R15 + SBBQ 0x60(CX), R8 + SBBQ 0x68(CX), R9 + SBBQ $0, R10 + SBBQ $0, R11 + + ADDQ 0x20(CX), R12 + MOVQ R12, 0x20(CX) // OUT4 + ADCQ 0x28(CX), R13 + MOVQ R13, 0x28(CX) // OUT5 + ADCQ 0x30(CX), R14 + MOVQ R14, 0x30(CX) // OUT6 + ADCQ 0x38(CX), R15 + MOVQ R15, 0x38(CX) // OUT7 + ADCQ 0x40(CX), R8 + MOVQ R8, 0x40(CX) // OUT8 + ADCQ 0x48(CX), R9 + MOVQ R9, 0x48(CX) // OUT9 + ADCQ 0x50(CX), R10 + MOVQ R10, 0x50(CX) // OUT10 + ADCQ 0x58(CX), R11 + MOVQ R11, 0x58(CX) // OUT11 + MOVQ 0x60(CX), R12 + ADCQ $0, R12 + MOVQ R12, 0x60(CX) // OUT12 + MOVQ 0x68(CX), R13 + ADCQ $0, R13 + MOVQ R13, 0x68(CX) // OUT13 + + MOVQ 0x70(SP), BP + RET + +TEXT ·rdcP434(SB),$0-16 + MOVQ z+0(FP), SI + MOVQ x+8(FP), DI + CMPB ·HasADXandBMI2(SB), $1 + JE redc_bdw +#define MUL01 MUL128x256( 0,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13,R14,CX) +#define MUL23 MUL128x256(16,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13,R14,CX) +#define MUL45 MUL128x256(32,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13,R14,CX) +#define MUL67 MUL64x256(48,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13) + REDC_COMMON(MUL01, MUL23, MUL45, MUL67) +#undef MUL01 +#undef MUL23 +#undef MUL45 +#undef MUL67 + RET + +// 434-bit montgomery reduction Uses MULX/ADOX/ADCX instructions +// available on Broadwell micro-architectures and newer. +redc_bdw: +#define MULX01 MULX128x256( 0,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13,CX) +#define MULX23 MULX128x256(16,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13,CX) +#define MULX45 MULX128x256(32,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13,CX) +#define MULX67 MULX64x256(48,DI,·P434p1+(8*P434_P1_ZEROS),R8,R9,R10,R11,R12,R13) + REDC_COMMON(MULX01, MULX23, MULX45, MULX67) +#undef MULX01 +#undef MULX23 +#undef MULX45 +#undef MULX67 + RET diff --git a/src/circl/dh/sidh/internal/p434/arith_amd64_test.go b/src/circl/dh/sidh/internal/p434/arith_amd64_test.go new file mode 100644 index 00000000000..e4a923cc8bc --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/arith_amd64_test.go @@ -0,0 +1,96 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build amd64,!noasm + +package p434 + +import ( + "reflect" + "testing" + "testing/quick" + + "circl/dh/sidh/internal/common" + "internal/cpu" +) + +type OptimFlag uint + +const ( + // Indicates that optimisation which uses MUL instruction should be used + kUse_MUL OptimFlag = 1 << 0 + // Indicates that optimisation which uses MULX, ADOX and ADCX instructions should be used + kUse_MULXandADxX = 1 << 1 +) + +func resetCpuFeatures() { + HasADXandBMI2 = cpu.X86.HasBMI2 && cpu.X86.HasADX +} + +// Utility function used for testing Mul implementations. Tests caller provided +// mulFunc against mul() +func testMul(t *testing.T, f1, f2 OptimFlag) { + doMulTest := func(multiplier, multiplicant common.Fp) bool { + defer resetCpuFeatures() + var resMulRef, resMulOptim common.FpX2 + + // Compute multiplier*multiplicant with first implementation + HasADXandBMI2 = (kUse_MULXandADxX & f1) == kUse_MULXandADxX + mulP434(&resMulOptim, &multiplier, &multiplicant) + + // Compute multiplier*multiplicant with second implementation + HasADXandBMI2 = (kUse_MULXandADxX & f2) == kUse_MULXandADxX + mulP434(&resMulRef, &multiplier, &multiplicant) + + // Compare results + return reflect.DeepEqual(resMulRef, resMulOptim) + } + + if err := quick.Check(doMulTest, quickCheckConfig); err != nil { + t.Error(err) + } +} + +// Utility function used for testing REDC implementations. Tests caller provided +// redcFunc against redc() +func testRedc(t *testing.T, f1, f2 OptimFlag) { + doRedcTest := func(aRR common.FpX2) bool { + defer resetCpuFeatures() + var resRedcF1, resRedcF2 common.Fp + var aRRcpy = aRR + + // Compute redc with first implementation + HasADXandBMI2 = (kUse_MULXandADxX & f1) == kUse_MULXandADxX + rdcP434(&resRedcF1, &aRR) + + // Compute redc with second implementation + HasADXandBMI2 = (kUse_MULXandADxX & f2) == kUse_MULXandADxX + rdcP434(&resRedcF2, &aRRcpy) + + // Compare results + return reflect.DeepEqual(resRedcF2, resRedcF1) + } + + if err := quick.Check(doRedcTest, quickCheckConfig); err != nil { + t.Error(err) + } +} + +// Ensures correctness of implementation of mul operation which uses MULX and ADOX/ADCX +func TestMulWithMULXADxX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testMul(t, kUse_MULXandADxX, kUse_MUL) +} + +// Ensures correctness of Montgomery reduction implementation which uses MULX +// and ADCX/ADOX. +func TestRedcWithMULXADxX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testRedc(t, kUse_MULXandADxX, kUse_MUL) +} diff --git a/src/circl/dh/sidh/internal/p434/arith_decl.go b/src/circl/dh/sidh/internal/p434/arith_decl.go new file mode 100644 index 00000000000..ae15f64b40a --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/arith_decl.go @@ -0,0 +1,45 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build amd64,!noasm + +package p434 + +import ( + . "circl/dh/sidh/internal/common" +) + +// If choice = 0, leave x,y unchanged. If choice = 1, set x,y = y,x. +// If choice is neither 0 nor 1 then behaviour is undefined. +// This function executes in constant time. +//go:noescape +func cswapP434(x, y *Fp, choice uint8) + +// Compute z = x + y (mod p). +//go:noescape +func addP434(z, x, y *Fp) + +// Compute z = x - y (mod p). +//go:noescape +func subP434(z, x, y *Fp) + +// Compute z = x + y, without reducing mod p. +//go:noescape +func adlP434(z, x, y *FpX2) + +// Compute z = x - y, without reducing mod p. +//go:noescape +func sulP434(z, x, y *FpX2) + +// Reduce a field element in [0, 2*p) to one in [0,p). +//go:noescape +func modP434(x *Fp) + +// Computes z = x * y. +//go:noescape +func mulP434(z *FpX2, x, y *Fp) + +// Computes the Montgomery reduction z = x R^{-1} (mod 2*p). On return value +// of x may be changed. z=x not allowed. +//go:noescape +func rdcP434(z *Fp, x *FpX2) diff --git a/src/circl/dh/sidh/internal/p434/arith_generic.go b/src/circl/dh/sidh/internal/p434/arith_generic.go new file mode 100644 index 00000000000..e2c8eac9fb4 --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/arith_generic.go @@ -0,0 +1,192 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build noasm,arm64 !amd64 + +package p434 + +import ( + "math/bits" + + "circl/dh/sidh/internal/common" +) + +// Compute z = x + y (mod p). +func addP434(z, x, y *common.Fp) { + var carry uint64 + + // z=x+y % P434 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } + + // z = z - P434x2 + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Sub64(z[i], P434x2[i], carry) + } + + // if z<0 add P434x2 back + mask := uint64(0 - carry) + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(z[i], P434x2[i]&mask, carry) + } +} + +// Compute z = x - y (mod p). +func subP434(z, x, y *common.Fp) { + var borrow uint64 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + mask := uint64(0 - borrow) + borrow = 0 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Add64(z[i], P434x2[i]&mask, borrow) + } +} + +// Conditionally swaps bits in x and y in constant time. +// mask indicates bits to be swapped (set bits are swapped) +// For details see "Hackers Delight, 2.20" +// +// Implementation doesn't actually depend on a prime field. +func cswapP434(x, y *common.Fp, mask uint8) { + var tmp, mask64 uint64 + + mask64 = 0 - uint64(mask) + for i := 0; i < FpWords; i++ { + tmp = mask64 & (x[i] ^ y[i]) + x[i] = tmp ^ x[i] + y[i] = tmp ^ y[i] + } +} + +// Perform Montgomery reduction: set z = x R^{-1} (mod 2*p) +// with R=2^(FpWords*64). Destroys the input value. +func rdcP434(z *common.Fp, x *common.FpX2) { + var carry, t, u, v uint64 + var hi, lo uint64 + var count int + + count = P434p1Zeros + + for i := 0; i < FpWords; i++ { + for j := 0; j < i; j++ { + if j < (i - count + 1) { + hi, lo = bits.Mul64(z[j], P434p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + t += carry + + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < 2*FpWords-1; i++ { + if count > 0 { + count-- + } + for j := i - FpWords + 1; j < FpWords; j++ { + if j < (FpWords - count) { + hi, lo = bits.Mul64(z[j], P434p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + + t += carry + z[i-FpWords] = v + v = u + u = t + t = 0 + } + v, _ = bits.Add64(v, x[2*FpWords-1], 0) + z[FpWords-1] = v +} + +// Compute z = x * y. +func mulP434(z *common.FpX2, x, y *common.Fp) { + var u, v, t uint64 + var hi, lo uint64 + var carry uint64 + + for i := uint64(0); i < FpWords; i++ { + for j := uint64(0); j <= i; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < (2*FpWords)-1; i++ { + for j := i - FpWords + 1; j < FpWords; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + z[2*FpWords-1] = v +} + +// Compute z = x + y, without reducing mod p. +func adlP434(z, x, y *common.FpX2) { + var carry uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } +} + +// Reduce a field element in [0, 2*p) to one in [0,p). +func modP434(x *common.Fp) { + var borrow, mask uint64 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Sub64(x[i], P434[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Add64(x[i], P434[i]&mask, borrow) + } +} + +// Compute z = x - y, without reducing mod p. +func sulP434(z, x, y *common.FpX2) { + var borrow, mask uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := FpWords; i < 2*FpWords; i++ { + z[i], borrow = bits.Add64(z[i], P434[i-FpWords]&mask, borrow) + } +} diff --git a/src/circl/dh/sidh/internal/p434/arith_test.go b/src/circl/dh/sidh/internal/p434/arith_test.go new file mode 100644 index 00000000000..d6fe171bb81 --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/arith_test.go @@ -0,0 +1,101 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p434 + +import ( + "testing" + + "circl/dh/sidh/internal/common" +) + +// Package-level storage for this field element is intended to deter +// compiler optimizations. +var ( + benchmarkFp common.Fp + benchmarkFpX2 common.FpX2 + bench_x = common.Fp{17026702066521327207, 5108203422050077993, 10225396685796065916, 11153620995215874678, 6531160855165088358, 15302925148404145445, 1248821577836769963, 9789766903037985294, 7493111552032041328, 10838999828319306046, 18103257655515297935, 27403304611634} + bench_y = common.Fp{4227467157325093378, 10699492810770426363, 13500940151395637365, 12966403950118934952, 16517692605450415877, 13647111148905630666, 14223628886152717087, 7167843152346903316, 15855377759596736571, 4300673881383687338, 6635288001920617779, 30486099554235} + bench_z = common.FpX2{1595347748594595712, 10854920567160033970, 16877102267020034574, 12435724995376660096, 3757940912203224231, 8251999420280413600, 3648859773438820227, 17622716832674727914, 11029567000887241528, 11216190007549447055, 17606662790980286987, 4720707159513626555, 12887743598335030915, 14954645239176589309, 14178817688915225254, 1191346797768989683, 12629157932334713723, 6348851952904485603, 16444232588597434895, 7809979927681678066, 14642637672942531613, 3092657597757640067, 10160361564485285723, 240071237} +) + +func TestFpCswap(t *testing.T) { + var one = common.Fp{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1} + var two = common.Fp{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2} + + var x = one + var y = two + + cswapP434(&x, &y, 0) + for i := 0; i < FpWords; i++ { + if (x[i] != one[i]) || (y[i] != two[i]) { + t.Error("Found", x, "expected", two) + } + } + + cswapP434(&x, &y, 1) + for i := 0; i < FpWords; i++ { + if (x[i] != two[i]) || (y[i] != one[i]) { + t.Error("Found", x, "expected", two) + } + } +} + +// Benchmarking for field arithmetic +func BenchmarkMul(b *testing.B) { + for n := 0; n < b.N; n++ { + mulP434(&benchmarkFpX2, &bench_x, &bench_y) + } +} + +func BenchmarkRdc(b *testing.B) { + z := bench_z + + // This benchmark actually computes garbage, because + // rdcP434 mangles its input, but since it's + // constant-time that shouldn't matter for the benchmarks. + for n := 0; n < b.N; n++ { + rdcP434(&benchmarkFp, &z) + } +} + +func BenchmarkAdd(b *testing.B) { + for n := 0; n < b.N; n++ { + addP434(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkSub(b *testing.B) { + for n := 0; n < b.N; n++ { + subP434(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkCswap(b *testing.B) { + x, y := bench_x, bench_y + for n := 0; n < b.N; n++ { + cswapP434(&x, &y, 1) + cswapP434(&x, &y, 0) + } +} + +func BenchmarkMod(b *testing.B) { + x := bench_x + for n := 0; n < b.N; n++ { + modP434(&x) + } +} + +func BenchmarkX2AddLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + adlP434(&x, &y, &z) + } +} + +func BenchmarkX2SubLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + sulP434(&x, &y, &z) + } +} diff --git a/src/circl/dh/sidh/internal/p434/core.go b/src/circl/dh/sidh/internal/p434/core.go new file mode 100644 index 00000000000..f410d45ae67 --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/core.go @@ -0,0 +1,282 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p434 + +import ( + . "circl/dh/sidh/internal/common" +) + +// ----------------------------------------------------------------------------- +// Functions for traversing isogeny trees acoording to strategy. Key type 'A' is +// + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyA(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR needed +// for public key generation. +func traverseTreeSharedKeyA(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyB(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreeSharedKeyB(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenA(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPA, xQA, xRA ProjectivePoint + var xPB, xQB, xRB, xR ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny4 + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPA, &xQA, &xRA, params.A.SecretBitLen, prvBytes) + traverseTreePublicKeyA(¶ms.InitCurve, &xR, &xPB, &xQB, &xRB) + + // Secret isogeny + phi.GenerateCurve(&xR) + xPA = phi.EvaluatePoint(&xPB) + xQA = phi.EvaluatePoint(&xQB) + xRA = phi.EvaluatePoint(&xRB) + Fp2Batch3Inv(&xPA.Z, &xQA.Z, &xRA.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPA.X, &invZP) + mul(&pub3Pt[1], &xQA.X, &invZQ) + mul(&pub3Pt[2], &xRA.X, &invZR) +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenB(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPB, xQB, xRB, xR ProjectivePoint + var xPA, xQA, xRA ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny3 + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPB, &xQB, &xRB, params.B.SecretBitLen, prvBytes) + traverseTreePublicKeyB(¶ms.InitCurve, &xR, &xPA, &xQA, &xRA) + + phi.GenerateCurve(&xR) + xPB = phi.EvaluatePoint(&xPA) + xQB = phi.EvaluatePoint(&xQA) + xRB = phi.EvaluatePoint(&xRA) + Fp2Batch3Inv(&xPB.Z, &xQB.Z, &xRB.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPB.X, &invZP) + mul(&pub3Pt[1], &xQB.X, &invZQ) + mul(&pub3Pt[2], &xRB.X, &invZR) +} + +// ----------------------------------------------------------------------------- +// Key agreement functions +// + +// Establishing shared keys in in 2-torsion group +func DeriveSecretA(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny4 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.A.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyA(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients4(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} + +// Establishing shared keys in in 3-torsion group +func DeriveSecretB(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny3 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.B.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyB(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients3(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} diff --git a/src/circl/dh/sidh/internal/p434/curve.go b/src/circl/dh/sidh/internal/p434/curve.go new file mode 100644 index 00000000000..94476d5f9db --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/curve.go @@ -0,0 +1,362 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p434 + +import ( + . "circl/dh/sidh/internal/common" +) + +// Stores isogeny 3 curve constants +type isogeny3 struct { + K1 Fp2 + K2 Fp2 +} + +// Stores isogeny 4 curve constants +type isogeny4 struct { + isogeny3 + K3 Fp2 +} + +// Computes j-invariant for a curve y2=x3+A/Cx+x with A,C in F_(p^2). Result +// is returned in jBytes buffer, encoded in little-endian format. Caller +// provided jBytes buffer has to be big enough to j-invariant value. In case +// of SIDH, buffer size must be at least size of shared secret. +// Implementation corresponds to Algorithm 9 from SIKE. +func Jinvariant(cparams *ProjectiveCurveParameters, j *Fp2) { + var t0, t1 Fp2 + + sqr(j, &cparams.A) // j = A^2 + sqr(&t1, &cparams.C) // t1 = C^2 + add(&t0, &t1, &t1) // t0 = t1 + t1 + sub(&t0, j, &t0) // t0 = j - t0 + sub(&t0, &t0, &t1) // t0 = t0 - t1 + sub(j, &t0, &t1) // t0 = t0 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(j, j, &t1) // j = j * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&t1, &t0) // t1 = t0^2 + mul(&t0, &t0, &t1) // t0 = t0 * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + inv(j, j) // j = 1/j + mul(j, &t0, j) // j = t0 * j +} + +// Given affine points x(P), x(Q) and x(Q-P) in a extension field F_{p^2}, function +// recorvers projective coordinate A of a curve. This is Algorithm 10 from SIKE. +func RecoverCoordinateA(curve *ProjectiveCurveParameters, xp, xq, xr *Fp2) { + var t0, t1 Fp2 + + add(&t1, xp, xq) // t1 = Xp + Xq + mul(&t0, xp, xq) // t0 = Xp * Xq + mul(&curve.A, xr, &t1) // A = X(q-p) * t1 + add(&curve.A, &curve.A, &t0) // A = A + t0 + mul(&t0, &t0, xr) // t0 = t0 * X(q-p) + sub(&curve.A, &curve.A, ¶ms.OneFp2) // A = A - 1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t1, &t1, xr) // t1 = t1 + X(q-p) + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&curve.A, &curve.A) // A = A^2 + inv(&t0, &t0) // t0 = 1/t0 + mul(&curve.A, &curve.A, &t0) // A = A * t0 + sub(&curve.A, &curve.A, &t1) // A = A - t1 +} + +// Computes equivalence (A:C) ~ (A+2C : A-2C) +func CalcCurveParamsEquiv3(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coef CurveCoefficientsEquiv + var c2 Fp2 + + add(&c2, &cparams.C, &cparams.C) + // A24p = A+2*C + add(&coef.A, &cparams.A, &c2) + // A24m = A-2*C + sub(&coef.C, &cparams.A, &c2) + return coef +} + +// Computes equivalence (A:C) ~ (A+2C : 4C) +func CalcCurveParamsEquiv4(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + + add(&coefEq.C, &cparams.C, &cparams.C) + // A24p = A+2C + add(&coefEq.A, &cparams.A, &coefEq.C) + // C24 = 4*C + add(&coefEq.C, &coefEq.C, &coefEq.C) + return coefEq +} + +// Helper function for RightToLeftLadder(). Returns A+2C / 4. +func CalcAplus2Over4(cparams *ProjectiveCurveParameters) (ret Fp2) { + var tmp Fp2 + + // 2C + add(&tmp, &cparams.C, &cparams.C) + // A+2C + add(&ret, &cparams.A, &tmp) + // 1/4C + add(&tmp, &tmp, &tmp) + inv(&tmp, &tmp) + // A+2C/4C + mul(&ret, &ret, &tmp) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:A-2C). +func RecoverCurveCoefficients3(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + add(&cparams.A, &coefEq.A, &coefEq.C) + // cparams.A = 2*(A+2C+A-2C) = 4A + add(&cparams.A, &cparams.A, &cparams.A) + // cparams.C = (A+2C-A+2C) = 4C + sub(&cparams.C, &coefEq.A, &coefEq.C) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:4C). +func RecoverCurveCoefficients4(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + // cparams.C = (4C)*1/2=2C + mul(&cparams.C, &coefEq.C, ¶ms.HalfFp2) + // cparams.A = A+2C - 2C = A + sub(&cparams.A, &coefEq.A, &cparams.C) + // cparams.C = 2C * 1/2 = C + mul(&cparams.C, &cparams.C, ¶ms.HalfFp2) +} + +// Combined coordinate doubling and differential addition. Takes projective points +// P,Q,Q-P and (A+2C)/4C curve E coefficient. Returns 2*P and P+Q calculated on E. +// Function is used only by RightToLeftLadder. Corresponds to Algorithm 5 of SIKE +func xDbladd(P, Q, QmP *ProjectivePoint, a24 *Fp2) (dblP, PaQ ProjectivePoint) { + var t0, t1, t2 Fp2 + + xQmP, zQmP := &QmP.X, &QmP.Z + xPaQ, zPaQ := &PaQ.X, &PaQ.Z + x2P, z2P := &dblP.X, &dblP.Z + xP, zP := &P.X, &P.Z + xQ, zQ := &Q.X, &Q.Z + + add(&t0, xP, zP) // t0 = Xp+Zp + sub(&t1, xP, zP) // t1 = Xp-Zp + sqr(x2P, &t0) // 2P.X = t0^2 + sub(&t2, xQ, zQ) // t2 = Xq-Zq + add(xPaQ, xQ, zQ) // Xp+q = Xq+Zq + mul(&t0, &t0, &t2) // t0 = t0 * t2 + mul(z2P, &t1, &t1) // 2P.Z = t1 * t1 + mul(&t1, &t1, xPaQ) // t1 = t1 * Xp+q + sub(&t2, x2P, z2P) // t2 = 2P.X - 2P.Z + mul(x2P, x2P, z2P) // 2P.X = 2P.X * 2P.Z + mul(xPaQ, a24, &t2) // Xp+q = A24 * t2 + sub(zPaQ, &t0, &t1) // Zp+q = t0 - t1 + add(z2P, xPaQ, z2P) // 2P.Z = Xp+q + 2P.Z + add(xPaQ, &t0, &t1) // Xp+q = t0 + t1 + mul(z2P, z2P, &t2) // 2P.Z = 2P.Z * t2 + sqr(zPaQ, zPaQ) // Zp+q = Zp+q ^ 2 + sqr(xPaQ, xPaQ) // Xp+q = Xp+q ^ 2 + mul(zPaQ, xQmP, zPaQ) // Zp+q = Xq-p * Zp+q + mul(xPaQ, zQmP, xPaQ) // Xp+q = Zq-p * Xp+q + return +} + +// Given the curve parameters, xP = x(P), computes xP = x([2^k]P) +// Safe to overlap xP, x2P. +func Pow2k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t0, &t0) // t0 = t0 ^ 2 + sqr(&t1, &t1) // t1 = t1 ^ 2 + mul(z, ¶ms.C, &t0) // Z2p = C24 * t0 + mul(x, z, &t1) // X2p = Z2p * t1 + sub(&t1, &t1, &t0) // t1 = t1 - t0 + mul(&t0, ¶ms.A, &t1) // t0 = A24+ * t1 + add(z, z, &t0) // Z2p = Z2p + t0 + mul(z, z, &t1) // Zp = Z2p * t1 + } +} + +// Given the curve parameters, xP = x(P), and k >= 0, compute xP = x([3^k]P). +// +// Safe to overlap xP, xR. +func Pow3k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1, t2, t3, t4, t5, t6 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + sqr(&t2, &t0) // t2 = t0^2 + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t3, &t1) // t3 = t1^2 + add(&t4, &t1, &t0) // t4 = t1 + t0 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t1, &t4) // t1 = t4^2 + sub(&t1, &t1, &t3) // t1 = t1 - t3 + sub(&t1, &t1, &t2) // t1 = t1 - t2 + mul(&t5, &t3, ¶ms.A) // t5 = t3 * A24+ + mul(&t3, &t3, &t5) // t3 = t5 * t3 + mul(&t6, &t2, ¶ms.C) // t6 = t2 * A24- + mul(&t2, &t2, &t6) // t2 = t2 * t6 + sub(&t3, &t2, &t3) // t3 = t2 - t3 + sub(&t2, &t5, &t6) // t2 = t5 - t6 + mul(&t1, &t2, &t1) // t1 = t2 * t1 + add(&t2, &t3, &t1) // t2 = t3 + t1 + sqr(&t2, &t2) // t2 = t2^2 + mul(x, &t2, &t4) // X3p = t2 * t4 + sub(&t1, &t3, &t1) // t1 = t3 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(z, &t1, &t0) // Z3p = t1 * t0 + } +} + +// Set (y1, y2, y3) = (1/x1, 1/x2, 1/x3). +// +// All xi, yi must be distinct. +func Fp2Batch3Inv(x1, x2, x3, y1, y2, y3 *Fp2) { + var x1x2, t Fp2 + + mul(&x1x2, x1, x2) // x1*x2 + mul(&t, &x1x2, x3) // 1/(x1*x2*x3) + inv(&t, &t) + mul(y1, &t, x2) // 1/x1 + mul(y1, y1, x3) + mul(y2, &t, x1) // 1/x2 + mul(y2, y2, x3) + mul(y3, &t, &x1x2) // 1/x3 +} + +// Scalarmul3Pt is a right-to-left point multiplication that given the +// x-coordinate of P, Q and P-Q calculates the x-coordinate of R=Q+[scalar]P. +// nbits must be smaller or equal to len(scalar). +func ScalarMul3Pt(cparams *ProjectiveCurveParameters, P, Q, PmQ *ProjectivePoint, nbits uint, scalar []uint8) ProjectivePoint { + var R0, R2, R1 ProjectivePoint + aPlus2Over4 := CalcAplus2Over4(cparams) + R1 = *P + R2 = *PmQ + R0 = *Q + + // Iterate over the bits of the scalar, bottom to top + prevBit := uint8(0) + for i := uint(0); i < nbits; i++ { + bit := (scalar[i>>3] >> (i & 7) & 1) + swap := prevBit ^ bit + prevBit = bit + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, swap) + R0, R2 = xDbladd(&R0, &R2, &R1, &aPlus2Over4) + } + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, prevBit) + return R1 +} + +// Given a three-torsion point p = x(PB) on the curve E_(A:C), construct the +// three-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_3: ZP_3), where P_3 has exact order 3 on E_A/C +// Output: * Curve coordinates (A' + 2C', A' - 2C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny3) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var t0, t1, t2, t3, t4 Fp2 + var coefEq CurveCoefficientsEquiv + var K1, K2 = &phi.K1, &phi.K2 + + sub(K1, &p.X, &p.Z) // K1 = XP3 - ZP3 + sqr(&t0, K1) // t0 = K1^2 + add(K2, &p.X, &p.Z) // K2 = XP3 + ZP3 + sqr(&t1, K2) // t1 = K2^2 + add(&t2, &t0, &t1) // t2 = t0 + t1 + add(&t3, K1, K2) // t3 = K1 + K2 + sqr(&t3, &t3) // t3 = t3^2 + sub(&t3, &t3, &t2) // t3 = t3 - t2 + add(&t2, &t1, &t3) // t2 = t1 + t3 + add(&t3, &t3, &t0) // t3 = t3 + t0 + add(&t4, &t3, &t0) // t4 = t3 + t0 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t1, &t4) // t4 = t1 + t4 + mul(&coefEq.C, &t2, &t4) // A24m = t2 * t4 + add(&t4, &t1, &t2) // t4 = t1 + t2 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t0, &t4) // t4 = t0 + t4 + mul(&t4, &t3, &t4) // t4 = t3 * t4 + sub(&t0, &t4, &coefEq.C) // t0 = t4 - A24m + add(&coefEq.A, &coefEq.C, &t0) // A24p = A24m + t0 + return coefEq +} + +// Given a 3-isogeny phi and a point pB = x(PB), compute x(QB), the x-coordinate +// of the image QB = phi(PB) of PB under phi : E_(A:C) -> E_(A':C'). +// +// The output xQ = x(Q) is then a point on the curve E_(A':C'); the curve +// parameters are returned by the GenerateCurve function used to construct phi. +func (phi *isogeny3) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1, t2 Fp2 + var q ProjectivePoint + var K1, K2 = &phi.K1, &phi.K2 + var px, pz = &p.X, &p.Z + + add(&t0, px, pz) // t0 = XQ + ZQ + sub(&t1, px, pz) // t1 = XQ - ZQ + mul(&t0, K1, &t0) // t2 = K1 * t0 + mul(&t1, K2, &t1) // t1 = K2 * t1 + add(&t2, &t0, &t1) // t2 = t0 + t1 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t2, &t2) // t2 = t2 ^ 2 + sqr(&t0, &t0) // t0 = t0 ^ 2 + mul(&q.X, px, &t2) // XQ'= XQ * t2 + mul(&q.Z, pz, &t0) // ZQ'= ZQ * t0 + return q +} + +// Given a four-torsion point p = x(PB) on the curve E_(A:C), construct the +// four-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_4: ZP_4), where P_4 has exact order 4 on E_A/C +// Output: * Curve coordinates (A' + 2C', 4C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny4) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + var xp4, zp4 = &p.X, &p.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + sub(K2, xp4, zp4) + add(K3, xp4, zp4) + sqr(K1, zp4) + add(K1, K1, K1) + sqr(&coefEq.C, K1) + add(K1, K1, K1) + sqr(&coefEq.A, xp4) + add(&coefEq.A, &coefEq.A, &coefEq.A) + sqr(&coefEq.A, &coefEq.A) + return coefEq +} + +// Given a 4-isogeny phi and a point xP = x(P), compute x(Q), the x-coordinate +// of the image Q = phi(P) of P under phi : E_(A:C) -> E_(A':C'). +// +// Input: Isogeny returned by GenerateCurve and point q=(Qx,Qz) from E0_A/C +// Output: Corresponding point q from E1_A'/C', where E1 is 4-isogenous to E0 +func (phi *isogeny4) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1 Fp2 + var q = *p + var xq, zq = &q.X, &q.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + add(&t0, xq, zq) + sub(&t1, xq, zq) + mul(xq, &t0, K2) + mul(zq, &t1, K3) + mul(&t0, &t0, &t1) + mul(&t0, &t0, K1) + add(&t1, xq, zq) + sub(zq, xq, zq) + sqr(&t1, &t1) + sqr(zq, zq) + add(xq, &t0, &t1) + sub(&t0, zq, &t0) + mul(xq, xq, &t1) + mul(zq, zq, &t0) + return q +} diff --git a/src/circl/dh/sidh/internal/p434/curve_test.go b/src/circl/dh/sidh/internal/p434/curve_test.go new file mode 100644 index 00000000000..d054f9ca1ca --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/curve_test.go @@ -0,0 +1,100 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p434 + +import ( + "bytes" + "testing" + + . "circl/dh/sidh/internal/common" +) + +func vartimeEqProjFp2(lhs, rhs *ProjectivePoint) bool { + var t0, t1 Fp2 + mul(&t0, &lhs.X, &rhs.Z) + mul(&t1, &lhs.Z, &rhs.X) + return vartimeEqFp2(&t0, &t1) +} + +func toAffine(point *ProjectivePoint) *Fp2 { + var affineX Fp2 + inv(&affineX, &point.Z) + mul(&affineX, &affineX, &point.X) + return &affineX +} + +func Test_jInvariant(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var jbufRes = make([]byte, params.SharedSecretSize) + var jbufExp = make([]byte, params.SharedSecretSize) + var jInv Fp2 + + Jinvariant(&curve, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufRes, &jInv, params.Bytelen) + + jInv = expectedJ + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufExp, &jInv, params.Bytelen) + + if !bytes.Equal(jbufRes[:], jbufExp[:]) { + t.Error("Computed incorrect j-invariant: found\n", jbufRes, "\nexpected\n", jbufExp) + } +} + +func TestProjectivePointVartimeEq(t *testing.T) { + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + xQ := xP + + // Scale xQ, which results in the same projective point + mul(&xQ.X, &xQ.X, &curveA) + mul(&xQ.Z, &xQ.Z, &curveA) + if !vartimeEqProjFp2(&xP, &xQ) { + t.Error("Expected the scaled point to be equal to the original") + } +} + +func TestPointMulVersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv4(&curve) + var xP ProjectivePoint + + // x 2 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 1) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP2) { + t.Error("\nExpected\n", affineXP2, "\nfound\n", afxQ) + } + + // x 4 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 2) + afxQ = toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP4) { + t.Error("\nExpected\n", affineXP4, "\nfound\n", afxQ) + } +} + +func TestPointMul9VersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv3(&curve) + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow3k(&xP, &cparams, 2) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP9) { + t.Error("\nExpected\n", affineXP9, "\nfound\n", afxQ) + } +} + +func BenchmarkThreePointLadder(b *testing.B) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + for n := 0; n < b.N; n++ { + ScalarMul3Pt(&curve, &threePointLadderInputs[0], &threePointLadderInputs[1], &threePointLadderInputs[2], uint(len(scalar3Pt)*8), scalar3Pt[:]) + } +} diff --git a/src/circl/dh/sidh/internal/p434/fp2.go b/src/circl/dh/sidh/internal/p434/fp2.go new file mode 100644 index 00000000000..911fe3b4000 --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/fp2.go @@ -0,0 +1,195 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p434 + +import ( + "circl/dh/sidh/internal/common" +) + +// Montgomery multiplication. Input values must be already +// in Montgomery domain. +func mulP(dest, lhs, rhs *common.Fp) { + var ab common.FpX2 + mulP434(&ab, lhs, rhs) // = a*b*R*R + rdcP434(dest, &ab) // = a*b*R mod p +} + +// Set dest = x^((p-3)/4). If x is square, this is 1/sqrt(x). +// Uses variation of sliding-window algorithm from with window size +// of 5 and least to most significant bit sliding (left-to-right) +// See HAC 14.85 for general description. +// +// Allowed to overlap x with dest. +// All values in Montgomery domains +// Set dest = x^(2^k), for k >= 1, by repeated squarings. +func p34(dest, x *common.Fp) { + var lookup [16]common.Fp + + // This performs sum(powStrategy) + 1 squarings and len(lookup) + len(mulStrategy) + // multiplications. + powStrategy := []uint8{3, 10, 7, 5, 6, 5, 3, 8, 4, 7, 5, 6, 4, 5, 9, 6, 3, 11, 5, 5, 2, 8, 4, 7, 7, 8, 5, 6, 4, 8, 5, 2, 10, 6, 5, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1} + mulStrategy := []uint8{2, 15, 9, 8, 14, 12, 2, 8, 5, 15, 8, 15, 6, 6, 3, 2, 0, 10, 9, 13, 1, 12, 3, 7, 1, 10, 8, 11, 2, 15, 14, 1, 11, 12, 14, 3, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0} + initialMul := uint8(8) + + // Precompute lookup table of odd multiples of x for window + // size k=5. + var xx common.Fp + mulP(&xx, x, x) + lookup[0] = *x + for i := 1; i < 16; i++ { + mulP(&lookup[i], &lookup[i-1], &xx) + } + + // Now lookup = {x, x^3, x^5, ... } + // so that lookup[i] = x^{2*i + 1} + // so that lookup[k/2] = x^k, for odd k + *dest = lookup[initialMul] + for i := uint8(0); i < uint8(len(powStrategy)); i++ { + mulP(dest, dest, dest) + for j := uint8(1); j < powStrategy[i]; j++ { + mulP(dest, dest, dest) + } + mulP(dest, dest, &lookup[mulStrategy[i]]) + } +} + +func add(dest, lhs, rhs *common.Fp2) { + addP434(&dest.A, &lhs.A, &rhs.A) + addP434(&dest.B, &lhs.B, &rhs.B) +} + +func sub(dest, lhs, rhs *common.Fp2) { + subP434(&dest.A, &lhs.A, &rhs.A) + subP434(&dest.B, &lhs.B, &rhs.B) +} + +func mul(dest, lhs, rhs *common.Fp2) { + var bMinA, cMinD common.Fp + var ac, bd common.FpX2 + var adPlusBc common.FpX2 + var acMinBd common.FpX2 + + // Let (a,b,c,d) = (lhs.a,lhs.b,rhs.a,rhs.b). + // + // (a + bi)*(c + di) = (a*c - b*d) + (a*d + b*c)i + // + // Use Karatsuba's trick: note that + // + // (b - a)*(c - d) = (b*c + a*d) - a*c - b*d + // + // so (a*d + b*c) = (b-a)*(c-d) + a*c + b*d. + mulP434(&ac, &lhs.A, &rhs.A) // = a*c*R*R + mulP434(&bd, &lhs.B, &rhs.B) // = b*d*R*R + subP434(&bMinA, &lhs.B, &lhs.A) // = (b-a)*R + subP434(&cMinD, &rhs.A, &rhs.B) // = (c-d)*R + mulP434(&adPlusBc, &bMinA, &cMinD) // = (b-a)*(c-d)*R*R + adlP434(&adPlusBc, &adPlusBc, &ac) // = ((b-a)*(c-d) + a*c)*R*R + adlP434(&adPlusBc, &adPlusBc, &bd) // = ((b-a)*(c-d) + a*c + b*d)*R*R + rdcP434(&dest.B, &adPlusBc) // = (a*d + b*c)*R mod p + sulP434(&acMinBd, &ac, &bd) // = (a*c - b*d)*R*R + rdcP434(&dest.A, &acMinBd) // = (a*c - b*d)*R mod p +} + +// Set dest = 1/x +// +// Allowed to overlap dest with x. +// +// Returns dest to allow chaining operations. +func inv(dest, x *common.Fp2) { + var e1, e2 common.FpX2 + var f1, f2 common.Fp + + // We want to compute + // + // 1 1 (a - bi) (a - bi) + // -------- = -------- -------- = ----------- + // (a + bi) (a + bi) (a - bi) (a^2 + b^2) + // + // Letting c = 1/(a^2 + b^2), this is + // + // 1/(a+bi) = a*c - b*ci. + + mulP434(&e1, &x.A, &x.A) // = a*a*R*R + mulP434(&e2, &x.B, &x.B) // = b*b*R*R + adlP434(&e1, &e1, &e2) // = (a^2 + b^2)*R*R + rdcP434(&f1, &e1) // = (a^2 + b^2)*R mod p + // Now f1 = a^2 + b^2 + + mulP(&f2, &f1, &f1) + p34(&f2, &f2) + mulP(&f2, &f2, &f2) + mulP(&f2, &f2, &f1) + + mulP434(&e1, &x.A, &f2) + rdcP434(&dest.A, &e1) + + subP434(&f1, &common.Fp{}, &x.B) + mulP434(&e1, &f1, &f2) + rdcP434(&dest.B, &e1) +} + +func sqr(dest, x *common.Fp2) { + var a2, aPlusB, aMinusB common.Fp + var a2MinB2, ab2 common.FpX2 + + a := &x.A + b := &x.B + + // (a + bi)*(a + bi) = (a^2 - b^2) + 2abi. + addP434(&a2, a, a) // = a*R + a*R = 2*a*R + addP434(&aPlusB, a, b) // = a*R + b*R = (a+b)*R + subP434(&aMinusB, a, b) // = a*R - b*R = (a-b)*R + mulP434(&a2MinB2, &aPlusB, &aMinusB) // = (a+b)*(a-b)*R*R = (a^2 - b^2)*R*R + mulP434(&ab2, &a2, b) // = 2*a*b*R*R + rdcP434(&dest.A, &a2MinB2) // = (a^2 - b^2)*R mod p + rdcP434(&dest.B, &ab2) // = 2*a*b*R mod p +} + +// In case choice == 1, performs following swap in constant time: +// xPx <-> xQx +// xPz <-> xQz +// Otherwise returns xPx, xPz, xQx, xQz unchanged +func cswap(xPx, xPz, xQx, xQz *common.Fp2, choice uint8) { + cswapP434(&xPx.A, &xQx.A, choice) + cswapP434(&xPx.B, &xQx.B, choice) + cswapP434(&xPz.A, &xQz.A, choice) + cswapP434(&xPz.B, &xQz.B, choice) +} + +// Converts in.A and in.B to Montgomery domain and stores +// in 'out' +// out.A = in.A * R mod p +// out.B = in.B * R mod p +// Performs v = v*R^2*R^(-1) mod p, for both in.A and in.B +func ToMontgomery(out, in *common.Fp2) { + var aRR common.FpX2 + + // a*R*R + mulP434(&aRR, &in.A, &P434R2) + // a*R mod p + rdcP434(&out.A, &aRR) + mulP434(&aRR, &in.B, &P434R2) + rdcP434(&out.B, &aRR) +} + +// Converts in.A and in.B from Montgomery domain and stores +// in 'out' +// out.A = in.A mod p +// out.B = in.B mod p +// +// After returning from the call 'in' is not modified. +func FromMontgomery(out, in *common.Fp2) { + var aR common.FpX2 + + // convert from montgomery domain + copy(aR[:], in.A[:]) + rdcP434(&out.A, &aR) // = a mod p in [0, 2p) + modP434(&out.A) // = a mod p in [0, p) + for i := range aR { + aR[i] = 0 + } + copy(aR[:], in.B[:]) + rdcP434(&out.B, &aR) + modP434(&out.B) +} diff --git a/src/circl/dh/sidh/internal/p434/fp2_test.go b/src/circl/dh/sidh/internal/p434/fp2_test.go new file mode 100644 index 00000000000..e3107330b37 --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/fp2_test.go @@ -0,0 +1,245 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p434 + +import ( + "math/rand" + "reflect" + "testing" + "testing/quick" + + "circl/dh/sidh/internal/common" +) + +type testParams struct { + Point common.ProjectivePoint + Cparam common.ProjectiveCurveParameters + ExtElem common.Fp2 +} + +// Returns true if lhs = rhs. Takes variable time. +func vartimeEqFp2(lhs, rhs *common.Fp2) bool { + a := *lhs + b := *rhs + + modP434(&a.A) + modP434(&a.B) + modP434(&b.A) + modP434(&b.B) + + eq := true + for i := 0; i < FpWords && eq; i++ { + eq = eq && (a.A[i] == b.A[i]) + eq = eq && (a.B[i] == b.B[i]) + } + return eq +} + +func (testParams) generateFp2(rand *rand.Rand) common.Fp2 { + // Generation strategy: low limbs taken from [0,2^64); high limb + // taken from smaller range + // + // Size hint is ignored since all elements are fixed size. + // + // Field elements taken in range [0,2p). Emulate this by capping + // the high limb by the top digit of 2*p-1: + // + // sage: (2*p-1).digits(2^64)[-1] + // + // This still allows generating values >= 2p, but hopefully that + // excess is OK (and if it's not, we'll find out, because it's for + // testing...) + highLimb := rand.Uint64() % P434x2[FpWords-1] + fpElementGen := func() (fp common.Fp) { + for i := 0; i < (FpWords - 1); i++ { + fp[i] = rand.Uint64() + } + fp[FpWords-1] = highLimb + return fp + } + return common.Fp2{A: fpElementGen(), B: fpElementGen()} +} + +func (c testParams) Generate(rand *rand.Rand, size int) reflect.Value { + return reflect.ValueOf( + testParams{ + common.ProjectivePoint{ + X: c.generateFp2(rand), + Z: c.generateFp2(rand), + }, + common.ProjectiveCurveParameters{ + A: c.generateFp2(rand), + C: c.generateFp2(rand), + }, + c.generateFp2(rand), + }) +} + +func TestOne(t *testing.T) { + var tmp common.Fp2 + + mul(&tmp, ¶ms.OneFp2, ¶ms.A.AffineP) + if !vartimeEqFp2(&tmp, ¶ms.A.AffineP) { + t.Error("Not equal 1") + } +} + +func TestFp2ToBytesRoundTrip(t *testing.T) { + roundTrips := func(x testParams) bool { + var xBytes = make([]byte, 2*params.Bytelen) + var xPrime common.Fp2 + + common.Fp2ToBytes(xBytes[:], &x.ExtElem, params.Bytelen) + common.BytesToFp2(&xPrime, xBytes[:], params.Bytelen) + return vartimeEqFp2(&xPrime, &x.ExtElem) + } + + if err := quick.Check(roundTrips, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulDistributesOverAdd(t *testing.T) { + mulDistributesOverAdd := func(x, y, z testParams) bool { + // Compute t1 = (x+y)*z + t1 := new(common.Fp2) + add(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = x*z + y*z + t2 := new(common.Fp2) + t3 := new(common.Fp2) + mul(t2, &x.ExtElem, &z.ExtElem) + mul(t3, &y.ExtElem, &z.ExtElem) + add(t2, t2, t3) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(mulDistributesOverAdd, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulIsAssociative(t *testing.T) { + isAssociative := func(x, y, z testParams) bool { + // Compute t1 = (x*y)*z + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = (y*z)*x + t2 := new(common.Fp2) + mul(t2, &y.ExtElem, &z.ExtElem) + mul(t2, t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(isAssociative, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2SquareMatchesMul(t *testing.T) { + sqrMatchesMul := func(x testParams) bool { + // Compute t1 = (x*x) + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &x.ExtElem) + + // Compute t2 = x^2 + t2 := new(common.Fp2) + sqr(t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(sqrMatchesMul, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Inv(t *testing.T) { + inverseIsCorrect := func(x testParams) bool { + z := new(common.Fp2) + inv(z, &x.ExtElem) + + // Now z = (1/x), so (z * x) * x == x + mul(z, z, &x.ExtElem) + mul(z, z, &x.ExtElem) + + return vartimeEqFp2(z, &x.ExtElem) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 11)} + if err := quick.Check(inverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Batch3Inv(t *testing.T) { + batchInverseIsCorrect := func(x1, x2, x3 testParams) bool { + var x1Inv, x2Inv, x3Inv common.Fp2 + inv(&x1Inv, &x1.ExtElem) + inv(&x2Inv, &x2.ExtElem) + inv(&x3Inv, &x3.ExtElem) + + var y1, y2, y3 common.Fp2 + Fp2Batch3Inv(&x1.ExtElem, &x2.ExtElem, &x3.ExtElem, &y1, &y2, &y3) + + return (vartimeEqFp2(&x1Inv, &y1) && vartimeEqFp2(&x2Inv, &y2) && vartimeEqFp2(&x3Inv, &y3)) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 8)} + if err := quick.Check(batchInverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func BenchmarkFp2Mul(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + mul(w, z, z) + } +} + +func BenchmarkFp2Inv(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + inv(w, z) + } +} + +func BenchmarkFp2Square(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sqr(w, z) + } +} + +func BenchmarkFp2Add(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + add(w, z, z) + } +} + +func BenchmarkFp2Sub(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sub(w, z, z) + } +} diff --git a/src/circl/dh/sidh/internal/p434/params.go b/src/circl/dh/sidh/internal/p434/params.go new file mode 100644 index 00000000000..a383ca49997 --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/params.go @@ -0,0 +1,197 @@ +package p434 + +//go:generate go run ../templates/gen.go P434 + +import ( + "circl/dh/sidh/internal/common" + "internal/cpu" +) + +const ( + // Number of uint64 limbs used to store field element + FpWords = 7 +) + +var ( + // HasADXandBMI2 signals support for ADX and BMI2 + HasADXandBMI2 = cpu.X86.HasBMI2 && cpu.X86.HasADX + + // P434 is a prime used by field Fp434 + P434 = common.Fp{ + 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFDC1767AE2FFFFFF, + 0x7BC65C783158AEA3, 0x6CFC5FD681C52056, 0x2341F27177344, + } + + // P434x2 = 2*p434 - 1 + P434x2 = common.Fp{ + 0xFFFFFFFFFFFFFFFE, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFB82ECF5C5FFFFFF, + 0xF78CB8F062B15D47, 0xD9F8BFAD038A40AC, 0x4683E4E2EE688, + } + + // P434p1 = p434 + 1 + P434p1 = common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0xFDC1767AE3000000, + 0x7BC65C783158AEA3, 0x6CFC5FD681C52056, 0x0002341F27177344, + } + + // P434R2 = (2^448)^2 mod p + P434R2 = common.Fp{ + 0x28E55B65DCD69B30, 0xACEC7367768798C2, 0xAB27973F8311688D, 0x175CC6AF8D6C7C0B, + 0xABCD92BF2DDE347E, 0x69E16A61C7686D9A, 0x000025A89BCDD12A, + } + + // 1/2 * R mod p + half = common.Fp2{ + A: common.Fp{ + 0x0000000000003A16, 0x0000000000000000, 0x0000000000000000, 0x5C87FA027E000000, + 0x6C00D27DAACFD66A, 0x74992A2A2FBBA086, 0x0000767753DE976D}, + } + + // 1*R mod p + one = common.Fp2{ + A: common.Fp{ + 0x000000000000742C, 0x0000000000000000, 0x0000000000000000, 0xB90FF404FC000000, + 0xD801A4FB559FACD4, 0xE93254545F77410C, 0x0000ECEEA7BD2EDA}, + } + + // 6*R mod p + six = common.Fp2{ + A: common.Fp{ + 0x000000000002B90A, 0x0000000000000000, 0x0000000000000000, 0x5ADCCB2822000000, + 0x187D24F39F0CAFB4, 0x9D353A4D394145A0, 0x00012559A0403298}, + } + + P434p1Zeros = 3 + + params = common.SidhParams{ + ID: common.Fp434, + // SIDH public key byte size. + PublicKeySize: 330, + // SIDH shared secret byte size. + SharedSecretSize: 110, + InitCurve: common.ProjectiveCurveParameters{ + A: six, + C: one, + }, + A: common.DomainParams{ + // The x-coordinate of PA + AffineP: common.Fp2{ + A: common.Fp{ + 0x05ADF455C5C345BF, 0x91935C5CC767AC2B, 0xAFE4E879951F0257, 0x70E792DC89FA27B1, + 0xF797F526BB48C8CD, 0x2181DB6131AF621F, 0x00000A1C08B1ECC4, + }, + B: common.Fp{ + 0x74840EB87CDA7788, 0x2971AA0ECF9F9D0B, 0xCB5732BDF41715D5, 0x8CD8E51F7AACFFAA, + 0xA7F424730D7E419F, 0xD671EB919A179E8C, 0x0000FFA26C5A924A, + }, + }, + // The x-coordinate of QA + AffineQ: common.Fp2{ + A: common.Fp{ + 0xFEC6E64588B7273B, 0xD2A626D74CBBF1C6, 0xF8F58F07A78098C7, 0xE23941F470841B03, + 0x1B63EDA2045538DD, 0x735CFEB0FFD49215, 0x0001C4CB77542876, + }, + B: common.Fp{ + 0xADB0F733C17FFDD6, 0x6AFFBD037DA0A050, 0x680EC43DB144E02F, 0x1E2E5D5FF524E374, + 0xE2DDA115260E2995, 0xA6E4B552E2EDE508, 0x00018ECCDDF4B53E, + }, + }, + + // The x-coordinate of RA = PA-QA + AffineR: common.Fp2{ + A: common.Fp{ + 0x01BA4DB518CD6C7D, 0x2CB0251FE3CC0611, 0x259B0C6949A9121B, 0x60E17AC16D2F82AD, + 0x3AA41F1CE175D92D, 0x413FBE6A9B9BC4F3, 0x00022A81D8D55643, + }, + B: common.Fp{ + 0xB8ADBC70FC82E54A, 0xEF9CDDB0D5FADDED, 0x5820C734C80096A0, 0x7799994BAA96E0E4, + 0x044961599E379AF8, 0xDB2B94FBF09F27E2, 0x0000B87FC716C0C6, + }, + }, + // Max size of secret key for 2-torsion group, corresponds to 2^e2 - 1 + SecretBitLen: 216, + // SecretBitLen in bytes. + SecretByteLen: 28, + // 2-torsion group computation strategy + IsogenyStrategy: []uint32{ + 0x30, 0x1C, 0x10, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, + 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x08, 0x04, + 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x0D, 0x07, 0x04, 0x02, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, 0x05, 0x04, + 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, + 0x15, 0x0C, 0x07, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, 0x05, 0x03, 0x02, 0x01, + 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x09, 0x05, 0x03, + 0x02, 0x01, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x04, + 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01}, + }, + B: common.DomainParams{ + // The x-coordinate of PB + AffineP: common.Fp2{ + A: common.Fp{ + 0x6E5497556EDD48A3, 0x2A61B501546F1C05, 0xEB919446D049887D, 0x5864A4A69D450C4F, + 0xB883F276A6490D2B, 0x22CC287022D5F5B9, 0x0001BED4772E551F, + }, + B: common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + }, + }, + // The x-coordinate of QB + AffineQ: common.Fp2{ + A: common.Fp{ + 0xFAE2A3F93D8B6B8E, 0x494871F51700FE1C, 0xEF1A94228413C27C, 0x498FF4A4AF60BD62, + 0xB00AD2A708267E8A, 0xF4328294E017837F, 0x000034080181D8AE, + }, + B: common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + }, + }, + // The x-coordinate of RB = PB - QB + AffineR: common.Fp2{ + A: common.Fp{ + 0x283B34FAFEFDC8E4, 0x9208F44977C3E647, 0x7DEAE962816F4E9A, 0x68A2BA8AA262EC9D, + 0x8176F112EA43F45B, 0x02106D022634F504, 0x00007E8A50F02E37, + }, + B: common.Fp{ + 0xB378B7C1DA22CCB1, 0x6D089C99AD1D9230, 0xEBE15711813E2369, 0x2B35A68239D48A53, + 0x445F6FD138407C93, 0xBEF93B29A3F6B54B, 0x000173FA910377D3, + }, + }, + // Size of secret key for 3-torsion group, corresponds to log_2(3^e3) - 1. + SecretBitLen: 217, + // SecretBitLen in bytes. + SecretByteLen: 28, + // 3-torsion group computation strategy + IsogenyStrategy: []uint32{ + 0x42, 0x21, 0x11, 0x09, 0x05, 0x03, 0x02, 0x01, 0x01, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x10, + 0x08, 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, + 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, + 0x01, 0x20, 0x10, 0x08, 0x04, 0x03, 0x01, 0x01, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x10, 0x08, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, + 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, + 0x02, 0x01, 0x01, 0x02, 0x01, 0x01}, + }, + OneFp2: one, + HalfFp2: half, + MsgLen: 16, + // SIKEp434 provides 192 bit of classical security ([SIKE], 5.1) + KemSize: 16, + // ceil(434+7/8) + Bytelen: 55, + CiphertextSize: 16 + 330, + } +) + +func init() { + common.Register(common.Fp434, ¶ms) +} diff --git a/src/circl/dh/sidh/internal/p434/params_test.go b/src/circl/dh/sidh/internal/p434/params_test.go new file mode 100644 index 00000000000..e001ce84462 --- /dev/null +++ b/src/circl/dh/sidh/internal/p434/params_test.go @@ -0,0 +1,69 @@ +package p434 + +// Contains values used by tests +import ( + "testing/quick" + + . "circl/dh/sidh/internal/common" +) + +// Values computed using Sage +var ( + expectedJ = Fp2{ + A: Fp{0x38ECC0A0F53BACB4, 0xF987759E90A6C0DD, 0xC3007B353AE699F6, 0xB2B7E62A4F182414, 0xA65A854B34034F1B, 0xC71EAD20BE427422, 0xFC94F0D8DD51}, + B: Fp{0xFC3B47615764A089, 0x9D32DF1BA8CF22E5, 0x7B895EF92F44C690, 0xE83667F85BBFA475, 0xD44627DCF539CA71, 0x9619A0E7D6657401, 0x4BC5BF1D9B01}} + + curveA = Fp2{ + A: Fp{0x13A5A42C36E5E170, 0xC801DC4104E2C1DC, 0xB102AE39A7E24F31, 0x2FB616EA2E824C97, 0xB97073B55448AA67, 0x607266F7204D90DA, 0x1E98FE9739F27}, + B: Fp{0x000000000000742C, 0x0000000000000000, 0x0000000000000000, 0xB90FF404FC000000, 0xD801A4FB559FACD4, 0xE93254545F77410C, 0x0ECEEA7BD2EDA}} + + curveC = Fp2{ + A: Fp{0x8CBBA3505E5EDAB2, 0xB1DE7B91FBB77718, 0x6957392BFDC9BEB0, 0xC258E527E05FDDDE, 0x8C5FC7ADF5E50AE9, 0x1B2149FBEC2F4D18, 0x19FC2A5C79942}, + B: Fp{0x000000000000E858, 0x0000000000000000, 0x0000000000000000, 0x721FE809F8000000, 0xB00349F6AB3F59A9, 0xD264A8A8BEEE8219, 0x1D9DD4F7A5DB5}} + + affineXP = Fp2{ + A: Fp{0x775C29CA29E5FC3F, 0xCAB15BD1A1AB2754, 0x2C7F5B5DC58096EB, 0x2EE7B0B5A789355A, 0xBBD7BC749FF4D74E, 0x1373A265C9A9D58B, 0x5C183CE99B13}, + B: Fp{0x38CDA704EB4D517C, 0x2F8BA33C91C147D4, 0x4D17E97F04A8D431, 0x5DB8F238AE1B099F, 0x44DC758CE879824C, 0x7E95F1151F6DFA3C, 0xB59F64352B87}} + + affineXP2 = Fp2{ + A: Fp{0x2A5C658FD540804D, 0xA27CDB81FA7C6A5C, 0x6C36B6EB38B1B562, 0xC08642D636AF9A51, 0x36B2323A1279F346, 0x530BF3E8726D8B71, 0x61E38F638919}, + B: Fp{0x5D835C52A68FC93D, 0x9E8FAF973A68306C, 0xB3C28FE9D155F61C, 0xCCE6FA22BC1A1FBF, 0xEAB44D8952802BA5, 0xEAAC0F259AAC3A8F, 0x959B242CE01A}} + + affineXP4 = Fp2{ + A: Fp{0xF824931762C6DC4A, 0xA9B0FD30136F4B50, 0xAF041BBAB14DC6B1, 0x0AD52F55527A9BA2, 0x282B236D61F08C59, 0x5D3D7EC0C5EB9DCB, 0x10BBDDEA44BF7}, + B: Fp{0x77D92493AF97245B, 0xD717FEC838D464C6, 0xCAACD67DB3BF965D, 0x82D59FB89CDC0711, 0xF13CAE433F39CDE1, 0x9B55DFB11A585FFA, 0x0DC8BA1C054D3}} + + affineXP9 = Fp2{ + A: Fp{0x1F6F0785353A02C0, 0xCCB1B8524A63E37F, 0xB283C636B1FDD74C, 0xB76DBFF592DE6FF5, 0x15750EE706F18226, 0x50791362F26E459C, 0x1EA2A9074423}, + B: Fp{0x945C6909DA5039A3, 0x349CFD24FD84FDAF, 0x2FD2F391F2E26E75, 0xEF73E8A634EBDC76, 0x59DDA2622AC22A6C, 0xE0370B80E15F61F4, 0xB302956A0276}} + + // Inputs for testing 3-point-ladder + threePointLadderInputs = []ProjectivePoint{ + // x(P) + { + X: Fp2{ + A: Fp{0x43941FA9244C059E, 0xD1F337D076941189, 0x6B6A8B3A8763C96A, 0x6DF569708D6C9482, 0x487EE5707A52F4AA, 0xDE396F6E2559689E, 0xE5EE3895A8991469, 0x2B0946695790A8}, + B: Fp{0xAB552C0FDAED092E, 0x7DF895E43E7DCB1C, 0x35C700E761920C4B, 0xCC5807DD70DC117A, 0x0884039A5A8DB18A, 0xD04620B3D0738052, 0xA200835605138F10, 0x3FF2E59B2FDC6A}}, + Z: params.OneFp2, + }, + // x(Q) + { + X: Fp2{ + A: Fp{0x77015826982BA1FD, 0x44024489673471E4, 0x1CAA2A5F4D5DA63B, 0xA183C07E50738C01, 0x8B97782D4E1A0DE6, 0x9B819522FBC38280, 0x0BDA46A937FB7B8A, 0x3B3614305914DF}, + B: Fp{0xBF0366E97B3168D9, 0xAA522AC3879CEF0F, 0x0AF5EC975BD035C8, 0x1F26FEE7BBAC165C, 0xA0EE6A637724A6AB, 0xFB52101E36BA3A38, 0xD29CF5E376E17376, 0x1374A50DF57071}}, + Z: params.OneFp2, + }, + // x(P-Q) + { + X: Fp2{ + A: Fp{0xD99279BBD41EA559, 0x35CF18E72F578214, 0x90473B1DC77F73E8, 0xBFFEA930B25D7F66, 0xFD558EA177B900B2, 0x7CFAD273A782A23E, 0x6B1F610822E0F611, 0x26D2D2EF9619B5}, + B: Fp{0x534F83651CBCC75D, 0x591FB4757AED5D08, 0x0B04353D40BED542, 0x829A94703AAC9139, 0x0F9C2E6D7663EB5B, 0x5D2D0F90C283F746, 0x34C872AA12A7676E, 0x0ECDB605FBFA16}}, + Z: params.OneFp2, + }, + } + scalar3Pt = [...]uint8{0x9f, 0x3b, 0xe7, 0xf9, 0xf4, 0x7c, 0xe6, 0xce, 0x79, 0x3e, 0x3d, 0x9f, 0x9f, 0x3b, 0xe7, 0xf9, 0xf4, 0x7c, 0xe6, 0xce, 0x79, 0x3e, 0x3d, 0x9f} +) + +var quickCheckConfig = &quick.Config{ + MaxCount: (1 << 15), +} diff --git a/src/circl/dh/sidh/internal/p503/arith_amd64.s b/src/circl/dh/sidh/internal/p503/arith_amd64.s new file mode 100644 index 00000000000..aba4e320aa9 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/arith_amd64.s @@ -0,0 +1,1673 @@ +// +build amd64,!noasm + +#include "textflag.h" + +// p503 +#define P503_0 $0xFFFFFFFFFFFFFFFF +#define P503_1 $0xFFFFFFFFFFFFFFFF +#define P503_2 $0xFFFFFFFFFFFFFFFF +#define P503_3 $0xABFFFFFFFFFFFFFF +#define P503_4 $0x13085BDA2211E7A0 +#define P503_5 $0x1B9BF6C87B7E7DAF +#define P503_6 $0x6045C6BDDA77A4D0 +#define P503_7 $0x004066F541811E1E + +// p503+1 +#define P503P1_3 $0xAC00000000000000 +#define P503P1_4 $0x13085BDA2211E7A0 +#define P503P1_5 $0x1B9BF6C87B7E7DAF +#define P503P1_6 $0x6045C6BDDA77A4D0 +#define P503P1_7 $0x004066F541811E1E + +// p503x2 +#define P503X2_0 $0xFFFFFFFFFFFFFFFE +#define P503X2_1 $0xFFFFFFFFFFFFFFFF +#define P503X2_2 $0xFFFFFFFFFFFFFFFF +#define P503X2_3 $0x57FFFFFFFFFFFFFF +#define P503X2_4 $0x2610B7B44423CF41 +#define P503X2_5 $0x3737ED90F6FCFB5E +#define P503X2_6 $0xC08B8D7BB4EF49A0 +#define P503X2_7 $0x0080CDEA83023C3C + +#define REG_P1 DI +#define REG_P2 SI +#define REG_P3 DX + +// Performs schoolbook multiplication of 2 256-bit numbers. This optimized version +// uses MULX instruction. Macro smashes value in DX. +// Input: I0 and I1. +// Output: O +// All the other arguments are registers, used for storing temporary values +#define MULS256_MULX(O, I0, I1, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9) \ + MOVQ I0, DX \ + MULXQ I1, T1, T0 \ // T0:T1 = A0*B0 + MOVQ T1, O \ // O[0] + MULXQ 8+I1, T2, T1 \ // T1:T2 = U0*V1 + ADDQ T2, T0 \ + MULXQ 16+I1, T3, T2 \ // T2:T3 = U0*V2 + ADCQ T3, T1 \ + MULXQ 24+I1, T4, T3 \ // T3:T4 = U0*V3 + ADCQ T4, T2 \ + \ // Column U1 + MOVQ 8+I0, DX \ + ADCQ $0, T3 \ + MULXQ 0+I1, T4, T5 \ // T5:T4 = U1*V0 + MULXQ 8+I1, T7, T6 \ // T6:T7 = U1*V1 + ADDQ T7, T5 \ + MULXQ 16+I1, T8, T7 \ // T7:T8 = U1*V2 + ADCQ T8, T6 \ + MULXQ 24+I1, T9, T8 \ // T8:T9 = U1*V3 + ADCQ T9, T7 \ + ADCQ $0, T8 \ + ADDQ T0, T4 \ + MOVQ T4, 8+O \ // O[1] + ADCQ T1, T5 \ + ADCQ T2, T6 \ + ADCQ T3, T7 \ + \ // Column U2 + MOVQ 16+I0, DX \ + ADCQ $0, T8 \ + MULXQ 0+I1, T0, T1 \ // T1:T0 = U2*V0 + MULXQ 8+I1, T3, T2 \ // T2:T3 = U2*V1 + ADDQ T3, T1 \ + MULXQ 16+I1, T4, T3 \ // T3:T4 = U2*V2 + ADCQ T4, T2 \ + MULXQ 24+I1, T9, T4 \ // T4:T9 = U2*V3 + ADCQ T9, T3 \ + \ // Column U3 + MOVQ 24+I0, DX \ + ADCQ $0, T4 \ + ADDQ T5, T0 \ + MOVQ T0, 16+O \ // O[2] + ADCQ T6, T1 \ + ADCQ T7, T2 \ + ADCQ T8, T3 \ + ADCQ $0, T4 \ + MULXQ 0+I1, T0, T5 \ // T5:T0 = U3*V0 + MULXQ 8+I1, T7, T6 \ // T6:T7 = U3*V1 + ADDQ T7, T5 \ + MULXQ 16+I1, T8, T7 \ // T7:T8 = U3*V2 + ADCQ T8, T6 \ + MULXQ 24+I1, T9, T8 \ // T8:T9 = U3*V3 + ADCQ T9, T7 \ + ADCQ $0, T8 \ + \ // Add values in remaining columns + ADDQ T0, T1 \ + MOVQ T1, 24+O \ // O[3] + ADCQ T5, T2 \ + MOVQ T2, 32+O \ // O[4] + ADCQ T6, T3 \ + MOVQ T3, 40+O \ // O[5] + ADCQ T7, T4 \ + MOVQ T4, 48+O \ // O[6] + ADCQ $0, T8 \ // O[7] + MOVQ T8, 56+O + +// Performs schoolbook multiplication of 2 256-bit numbers. This optimized version +// uses ADOX, ADCX and MULX instructions. Macro smashes values in AX and DX. +// Input: I0 and I1. +// Output: O +// All the other arguments registers are used for storing temporary values +#define MULS256_MULX_ADCX_ADOX(O, I0, I1, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9) \ + \ // U0[0] + MOVQ 0+I0, DX \ // MULX requires multiplayer in DX + \ // T0:T1 = I1*DX + MULXQ I1, T1, T0 \ // T0:T1 = U0*V0 (low:high) + MOVQ T1, O \ // O0[0] + MULXQ 8+I1, T2, T1 \ // T2:T1 = U0*V1 + XORQ AX, AX \ + ADOXQ T2, T0 \ + MULXQ 16+I1, T3, T2 \ // T2:T3 = U0*V2 + ADOXQ T3, T1 \ + MULXQ 24+I1, T4, T3 \ // T3:T4 = U0*V3 + ADOXQ T4, T2 \ + \ // Column U1 + MOVQ 8+I0, DX \ + MULXQ I1, T4, T5 \ // T5:T4 = U1*V0 + ADOXQ AX, T3 \ + XORQ AX, AX \ + MULXQ 8+I1, T7, T6 \ // T6:T7 = U1*V1 + ADOXQ T0, T4 \ + MOVQ T4, 8+O \ // O[1] + ADCXQ T7, T5 \ + MULXQ 16+I1, T8, T7 \ // T7:T8 = U1*V2 + ADCXQ T8, T6 \ + ADOXQ T1, T5 \ + MULXQ 24+I1, T9, T8 \ // T8:T9 = U1*V3 + ADCXQ T9, T7 \ + ADCXQ AX, T8 \ + ADOXQ T2, T6 \ + \ // Column U2 + MOVQ 16+I0, DX \ + MULXQ I1, T0, T1 \ // T1:T0 = U2*V0 + ADOXQ T3, T7 \ + ADOXQ AX, T8 \ + XORQ AX, AX \ + MULXQ 8+I1, T3, T2 \ // T2:T3 = U2*V1 + ADOXQ T5, T0 \ + MOVQ T0, 16+O \ // O[2] + ADCXQ T3, T1 \ + MULXQ 16+I1, T4, T3 \ // T3:T4 = U2*V2 + ADCXQ T4, T2 \ + ADOXQ T6, T1 \ + MULXQ 24+I1, T9, T4 \ // T9:T4 = U2*V3 + ADCXQ T9, T3 \ + MOVQ 24+I0, DX \ + ADCXQ AX, T4 \ + \ + ADOXQ T7, T2 \ + ADOXQ T8, T3 \ + ADOXQ AX, T4 \ + \ // Column U3 + MULXQ I1, T0, T5 \ // T5:T0 = U3*B0 + XORQ AX, AX \ + MULXQ 8+I1, T7, T6 \ // T6:T7 = U3*B1 + ADCXQ T7, T5 \ + ADOXQ T0, T1 \ + MULXQ 16+I1, T8, T7 \ // T7:T8 = U3*V2 + ADCXQ T8, T6 \ + ADOXQ T5, T2 \ + MULXQ 24+I1, T9, T8 \ // T8:T9 = U3*V3 + ADCXQ T9, T7 \ + ADCXQ AX, T8 \ + \ + ADOXQ T6, T3 \ + ADOXQ T7, T4 \ + ADOXQ AX, T8 \ + MOVQ T1, 24+O \ // O[3] + MOVQ T2, 32+O \ // O[4] + MOVQ T3, 40+O \ // O[5] + MOVQ T4, 48+O \ // O[6] and O[7] below + MOVQ T8, 56+O + +// Template of a macro that performs schoolbook multiplication of 128-bit with 320-bit +// number. It uses MULX instruction This template must be customized with functions +// performing ADD (add1, add2) and ADD-with-carry (adc1, adc2). addX/adcX may or may +// not be instructions that use two independent carry chains. +// Input: +// * I0 128-bit number +// * I1 320-bit number +// * add1, add2: instruction performing integer addition and starting carry chain +// * adc1, adc2: instruction performing integer addition with carry +// Output: T[0-6] registers +#define MULS_128x320(I0, I1, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, add1, add2, adc1, adc2) \ + \ // Column 0 + MOVQ I0, DX \ + MULXQ I1+24(SB), T0, T1 \ + MULXQ I1+32(SB), T4, T2 \ + XORQ AX, AX \ + MULXQ I1+40(SB), T5, T3 \ + add1 T4, T1 \ + adc1 T5, T2 \ + MULXQ I1+48(SB), T7, T4 \ + adc1 T7, T3 \ + MULXQ I1+56(SB), T6, T5 \ + adc1 T6, T4 \ + adc1 AX, T5 \ + \ // Column 1 + MOVQ 8+I0, DX \ + MULXQ I1+24(SB), T6, T7 \ + add2 T6, T1 \ + adc2 T7, T2 \ + MULXQ I1+32(SB), T8, T6 \ + adc2 T6, T3 \ + MULXQ I1+40(SB), T7, T9 \ + adc2 T9, T4 \ + MULXQ I1+48(SB), T9, T6 \ + adc2 T6, T5 \ + MULXQ I1+56(SB), DX, T6 \ + adc2 AX, T6 \ + \ // Output + XORQ AX, AX \ + add1 T8, T2 \ + adc1 T7, T3 \ + adc1 T9, T4 \ + adc1 DX, T5 \ + adc1 AX, T6 + +// Multiplies 128-bit with 320-bit integer. Optimized with MULX instruction. +#define MULS_128x320_MULX(I0, I1, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9) \ + MULS_128x320(I0, I1, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, ADDQ, ADDQ, ADCQ, ADCQ) + +// Multiplies 128-bit with 320-bit integer. Optimized with MULX, ADOX and ADCX instructions +#define MULS_128x320_MULX_ADCX_ADOX(I0, I1, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9) \ + MULS_128x320(I0, I1, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, ADOXQ, ADCXQ, ADOXQ, ADCXQ) + +// Template of a macro performing multiplication of two 512-bit numbers. It uses one +// level of Karatsuba and one level of schoolbook multiplication. Template must be +// customized with macro performing schoolbook multiplication. +// Input: +// * I0, I1 - two 512-bit numbers +// * MULS - either MULS256_MULX or MULS256_MULX_ADCX_ADOX +// Output: OUT - 1024-bit long +#define MUL(OUT, I0, I1, MULS) \ + \ // R[8-11]: U1+U0 + XORQ AX, AX \ + MOVQ ( 0)(I0), R8 \ + MOVQ ( 8)(I0), R9 \ + MOVQ (16)(I0), R10 \ + MOVQ (24)(I0), R11 \ + ADDQ (32)(I0), R8 \ + ADCQ (40)(I0), R9 \ + ADCQ (48)(I0), R10 \ + ADCQ (56)(I0), R11 \ + SBBQ $0, AX \ // store mask + MOVQ R8, ( 0)(SP) \ + MOVQ R9, ( 8)(SP) \ + MOVQ R10, (16)(SP) \ + MOVQ R11, (24)(SP) \ + \ + \ // R[12-15]: V1+V0 + XORQ BX, BX \ + MOVQ ( 0)(I1), R12 \ + MOVQ ( 8)(I1), R13 \ + MOVQ (16)(I1), R14 \ + MOVQ (24)(I1), R15 \ + ADDQ (32)(I1), R12 \ + ADCQ (40)(I1), R13 \ + ADCQ (48)(I1), R14 \ + ADCQ (56)(I1), R15 \ + SBBQ $0, BX \ // store mask + MOVQ R12, (32)(SP) \ + MOVQ R13, (40)(SP) \ + MOVQ R14, (48)(SP) \ + MOVQ R15, (56)(SP) \ + \ // Prepare mask for U0+U1 (U1+U0 mod 256^4 if U1+U0 sets carry flag, otherwise 0) + ANDQ AX, R12 \ + ANDQ AX, R13 \ + ANDQ AX, R14 \ + ANDQ AX, R15 \ + \ // Prepare mask for V0+V1 (V1+V0 mod 256^4 if U1+U0 sets carry flag, otherwise 0) + ANDQ BX, R8 \ + ANDQ BX, R9 \ + ANDQ BX, R10 \ + ANDQ BX, R11 \ + \ // res = masked(U0+U1) + masked(V0 + V1) + ADDQ R12, R8 \ + ADCQ R13, R9 \ + ADCQ R14, R10 \ + ADCQ R15, R11 \ + \ // SP[64-96] <- res + MOVQ R8, (64)(SP) \ + MOVQ R9, (72)(SP) \ + MOVQ R10, (80)(SP) \ + MOVQ R11, (88)(SP) \ + \ // BP will be used for schoolbook multiplication below + MOVQ BP, 96(SP) \ + \ // (U1+U0)*(V1+V0) + MULS((64)(OUT), 0(SP), 32(SP), R8, R9, R10, R11, R12, R13, R14, R15, BX, BP) \ + \ // U0 x V0 + MULS(0(OUT), 0(I0), 0(I1), R8, R9, R10, R11, R12, R13, R14, R15, BX, BP) \ + \ // U1 x V1 + MULS(0(SP), 32(I0), 32(I1), R8, R9, R10, R11, R12, R13, R14, R15, BX, BP) \ + \ // Recover BP + MOVQ 96(SP), BP \ + \ // Final part of schoolbook multiplication; R[8-11] = (U0+U1) x (V0+V1) + MOVQ (64)(SP), R8 \ + MOVQ (72)(SP), R9 \ + MOVQ (80)(SP), R10 \ + MOVQ (88)(SP), R11 \ + MOVQ (96)(OUT), AX \ + ADDQ AX, R8 \ + MOVQ (104)(OUT), AX \ + ADCQ AX, R9 \ + MOVQ (112)(OUT), AX \ + ADCQ AX, R10 \ + MOVQ (120)(OUT), AX \ + ADCQ AX, R11 \ + \ // R[12-15, 8-11] = (U0+U1) x (V0+V1) - U0xV0 + MOVQ (64)(OUT), R12 \ + MOVQ (72)(OUT), R13 \ + MOVQ (80)(OUT), R14 \ + MOVQ (88)(OUT), R15 \ + SUBQ ( 0)(OUT), R12 \ + SBBQ ( 8)(OUT), R13 \ + SBBQ (16)(OUT), R14 \ + SBBQ (24)(OUT), R15 \ + SBBQ (32)(OUT), R8 \ + SBBQ (40)(OUT), R9 \ + SBBQ (48)(OUT), R10 \ + SBBQ (56)(OUT), R11 \ + \ // r8-r15 <- (U0+U1) x (V0+V1) - U0xV0 - U1xV1 + SUBQ ( 0)(SP), R12 \ + SBBQ ( 8)(SP), R13 \ + SBBQ (16)(SP), R14 \ + SBBQ (24)(SP), R15 \ + SBBQ (32)(SP), R8 \ + SBBQ (40)(SP), R9 \ + SBBQ (48)(SP), R10 \ + SBBQ (56)(SP), R11 \ + \ + ; ADDQ (32)(OUT), R12; MOVQ R12, ( 32)(OUT) \ + ; ADCQ (40)(OUT), R13; MOVQ R13, ( 40)(OUT) \ + ; ADCQ (48)(OUT), R14; MOVQ R14, ( 48)(OUT) \ + ; ADCQ (56)(OUT), R15; MOVQ R15, ( 56)(OUT) \ + MOVQ ( 0)(SP), AX; ADCQ AX, R8; MOVQ R8, ( 64)(OUT) \ + MOVQ ( 8)(SP), AX; ADCQ AX, R9; MOVQ R9, ( 72)(OUT) \ + MOVQ (16)(SP), AX; ADCQ AX, R10; MOVQ R10, ( 80)(OUT) \ + MOVQ (24)(SP), AX; ADCQ AX, R11; MOVQ R11, ( 88)(OUT) \ + MOVQ (32)(SP), R12; ADCQ $0, R12; MOVQ R12, ( 96)(OUT) \ + MOVQ (40)(SP), R13; ADCQ $0, R13; MOVQ R13, (104)(OUT) \ + MOVQ (48)(SP), R14; ADCQ $0, R14; MOVQ R14, (112)(OUT) \ + MOVQ (56)(SP), R15; ADCQ $0, R15; MOVQ R15, (120)(OUT) + +// Template for calculating the Montgomery reduction algorithm described in +// section 5.2.3 of https://eprint.iacr.org/2017/1015.pdf. Template must be +// customized with schoolbook multiplication for 128 x 320-bit number. +// This macro reuses memory of IN value and *changes* it. Smashes registers +// R[8-15], BX, CX +// Input: +// * IN: 1024-bit number to be reduced +// * MULS: either MULS_128x320_MULX or MULS_128x320_MULX_ADCX_ADOX +// Output: OUT 512-bit +#define REDC(OUT, IN, MULS) \ + MULS(0(IN), ·P503p1, R8, R9, R10, R11, R12, R13, R14, BX, CX, R15) \ + XORQ R15, R15 \ + ADDQ (24)(IN), R8 \ + ADCQ (32)(IN), R9 \ + ADCQ (40)(IN), R10 \ + ADCQ (48)(IN), R11 \ + ADCQ (56)(IN), R12 \ + ADCQ (64)(IN), R13 \ + ADCQ (72)(IN), R14 \ + ADCQ (80)(IN), R15 \ + MOVQ R8, (24)(IN) \ + MOVQ R9, (32)(IN) \ + MOVQ R10, (40)(IN) \ + MOVQ R11, (48)(IN) \ + MOVQ R12, (56)(IN) \ + MOVQ R13, (64)(IN) \ + MOVQ R14, (72)(IN) \ + MOVQ R15, (80)(IN) \ + MOVQ (88)(IN), R8 \ + MOVQ (96)(IN), R9 \ + MOVQ (104)(IN), R10 \ + MOVQ (112)(IN), R11 \ + MOVQ (120)(IN), R12 \ + ADCQ $0, R8 \ + ADCQ $0, R9 \ + ADCQ $0, R10 \ + ADCQ $0, R11 \ + ADCQ $0, R12 \ + MOVQ R8, (88)(IN) \ + MOVQ R9, (96)(IN) \ + MOVQ R10, (104)(IN) \ + MOVQ R11, (112)(IN) \ + MOVQ R12, (120)(IN) \ + \ + MULS(16(IN), ·P503p1, R8, R9, R10, R11, R12, R13, R14, BX, CX, R15) \ + XORQ R15, R15 \ + ADDQ (40)(IN), R8 \ + ADCQ (48)(IN), R9 \ + ADCQ (56)(IN), R10 \ + ADCQ (64)(IN), R11 \ + ADCQ (72)(IN), R12 \ + ADCQ (80)(IN), R13 \ + ADCQ (88)(IN), R14 \ + ADCQ (96)(IN), R15 \ + MOVQ R8, (40)(IN) \ + MOVQ R9, (48)(IN) \ + MOVQ R10, (56)(IN) \ + MOVQ R11, (64)(IN) \ + MOVQ R12, (72)(IN) \ + MOVQ R13, (80)(IN) \ + MOVQ R14, (88)(IN) \ + MOVQ R15, (96)(IN) \ + MOVQ (104)(IN), R8 \ + MOVQ (112)(IN), R9 \ + MOVQ (120)(IN), R10 \ + ADCQ $0, R8 \ + ADCQ $0, R9 \ + ADCQ $0, R10 \ + MOVQ R8, (104)(IN) \ + MOVQ R9, (112)(IN) \ + MOVQ R10, (120)(IN) \ + \ + MULS(32(IN), ·P503p1, R8, R9, R10, R11, R12, R13, R14, BX, CX, R15) \ + XORQ R15, R15 \ + XORQ BX, BX \ + ADDQ ( 56)(IN), R8 \ + ADCQ ( 64)(IN), R9 \ + ADCQ ( 72)(IN), R10 \ + ADCQ ( 80)(IN), R11 \ + ADCQ ( 88)(IN), R12 \ + ADCQ ( 96)(IN), R13 \ + ADCQ (104)(IN), R14 \ + ADCQ (112)(IN), R15 \ + ADCQ (120)(IN), BX \ + MOVQ R8, ( 56)(IN) \ + MOVQ R10, ( 72)(IN) \ + MOVQ R11, ( 80)(IN) \ + MOVQ R12, ( 88)(IN) \ + MOVQ R13, ( 96)(IN) \ + MOVQ R14, (104)(IN) \ + MOVQ R15, (112)(IN) \ + MOVQ BX, (120)(IN) \ + MOVQ R9, ( 0)(OUT) \ // Result: OUT[0] + \ + MULS(48(IN), ·P503p1, R8, R9, R10, R11, R12, R13, R14, BX, CX, R15) \ + ADDQ ( 72)(IN), R8 \ + ADCQ ( 80)(IN), R9 \ + ADCQ ( 88)(IN), R10 \ + ADCQ ( 96)(IN), R11 \ + ADCQ (104)(IN), R12 \ + ADCQ (112)(IN), R13 \ + ADCQ (120)(IN), R14 \ + MOVQ R8, ( 8)(OUT) \ // Result: OUT[1] + MOVQ R9, (16)(OUT) \ // Result: OUT[2] + MOVQ R10, (24)(OUT) \ // Result: OUT[3] + MOVQ R11, (32)(OUT) \ // Result: OUT[4] + MOVQ R12, (40)(OUT) \ // Result: OUT[5] + MOVQ R13, (48)(OUT) \ // Result: OUT[6] and OUT[7] + MOVQ R14, (56)(OUT) + +TEXT ·modP503(SB), NOSPLIT, $0-8 + MOVQ x+0(FP), REG_P1 + + // Zero AX for later use: + XORQ AX, AX + + // Load p into registers: + MOVQ P503_0, R8 + // P503_{1,2} = P503_0, so reuse R8 + MOVQ P503_3, R9 + MOVQ P503_4, R10 + MOVQ P503_5, R11 + MOVQ P503_6, R12 + MOVQ P503_7, R13 + + // Set x <- x - p + SUBQ R8, ( 0)(REG_P1) + SBBQ R8, ( 8)(REG_P1) + SBBQ R8, (16)(REG_P1) + SBBQ R9, (24)(REG_P1) + SBBQ R10, (32)(REG_P1) + SBBQ R11, (40)(REG_P1) + SBBQ R12, (48)(REG_P1) + SBBQ R13, (56)(REG_P1) + + // Save carry flag indicating x-p < 0 as a mask + SBBQ $0, AX + + // Conditionally add p to x if x-p < 0 + ANDQ AX, R8 + ANDQ AX, R9 + ANDQ AX, R10 + ANDQ AX, R11 + ANDQ AX, R12 + ANDQ AX, R13 + + ADDQ R8, ( 0)(REG_P1) + ADCQ R8, ( 8)(REG_P1) + ADCQ R8, (16)(REG_P1) + ADCQ R9, (24)(REG_P1) + ADCQ R10,(32)(REG_P1) + ADCQ R11,(40)(REG_P1) + ADCQ R12,(48)(REG_P1) + ADCQ R13,(56)(REG_P1) + + RET + +TEXT ·cswapP503(SB),NOSPLIT,$0-17 + + MOVQ x+0(FP), REG_P1 + MOVQ y+8(FP), REG_P2 + MOVB choice+16(FP), AL // AL = 0 or 1 + MOVBLZX AL, AX // AX = 0 or 1 + NEGQ AX // AX = 0x00..00 or 0xff..ff + +#ifndef CSWAP_BLOCK +#define CSWAP_BLOCK(idx) \ + MOVQ (idx*8)(REG_P1), BX \ // BX = x[idx] + MOVQ (idx*8)(REG_P2), CX \ // CX = y[idx] + MOVQ CX, DX \ // DX = y[idx] + XORQ BX, DX \ // DX = y[idx] ^ x[idx] + ANDQ AX, DX \ // DX = (y[idx] ^ x[idx]) & mask + XORQ DX, BX \ // BX = (y[idx] ^ x[idx]) & mask) ^ x[idx] = x[idx] or y[idx] + XORQ DX, CX \ // CX = (y[idx] ^ x[idx]) & mask) ^ y[idx] = y[idx] or x[idx] + MOVQ BX, (idx*8)(REG_P1) \ + MOVQ CX, (idx*8)(REG_P2) +#endif + + CSWAP_BLOCK(0) + CSWAP_BLOCK(1) + CSWAP_BLOCK(2) + CSWAP_BLOCK(3) + CSWAP_BLOCK(4) + CSWAP_BLOCK(5) + CSWAP_BLOCK(6) + CSWAP_BLOCK(7) + +#ifdef CSWAP_BLOCK +#undef CSWAP_BLOCK +#endif + + RET + +TEXT ·addP503(SB),NOSPLIT,$0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + // Used later to calculate a mask + XORQ CX, CX + + // [R8-R15]: z = x + y + MOVQ ( 0)(REG_P1), R8 + MOVQ ( 8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + ADDQ ( 0)(REG_P2), R8 + ADCQ ( 8)(REG_P2), R9 + ADCQ (16)(REG_P2), R10 + ADCQ (24)(REG_P2), R11 + ADCQ (32)(REG_P2), R12 + ADCQ (40)(REG_P2), R13 + ADCQ (48)(REG_P2), R14 + ADCQ (56)(REG_P2), R15 + + MOVQ P503X2_0, AX + SUBQ AX, R8 + MOVQ P503X2_1, AX + SBBQ AX, R9 + SBBQ AX, R10 + MOVQ P503X2_3, AX + SBBQ AX, R11 + MOVQ P503X2_4, AX + SBBQ AX, R12 + MOVQ P503X2_5, AX + SBBQ AX, R13 + MOVQ P503X2_6, AX + SBBQ AX, R14 + MOVQ P503X2_7, AX + SBBQ AX, R15 + + // mask + SBBQ $0, CX + + // move z to REG_P3 + MOVQ R8, ( 0)(REG_P3) + MOVQ R9, ( 8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + + // if z<0 add p503x2 back + MOVQ P503X2_0, R8 + MOVQ P503X2_1, R9 + MOVQ P503X2_3, R10 + MOVQ P503X2_4, R11 + MOVQ P503X2_5, R12 + MOVQ P503X2_6, R13 + MOVQ P503X2_7, R14 + ANDQ CX, R8 + ANDQ CX, R9 + ANDQ CX, R10 + ANDQ CX, R11 + ANDQ CX, R12 + ANDQ CX, R13 + ANDQ CX, R14 + MOVQ ( 0)(REG_P3), AX; ADDQ R8, AX; MOVQ AX, ( 0)(REG_P3) + MOVQ ( 8)(REG_P3), AX; ADCQ R9, AX; MOVQ AX, ( 8)(REG_P3) + MOVQ (16)(REG_P3), AX; ADCQ R9, AX; MOVQ AX, (16)(REG_P3) + MOVQ (24)(REG_P3), AX; ADCQ R10, AX; MOVQ AX, (24)(REG_P3) + MOVQ (32)(REG_P3), AX; ADCQ R11, AX; MOVQ AX, (32)(REG_P3) + MOVQ (40)(REG_P3), AX; ADCQ R12, AX; MOVQ AX, (40)(REG_P3) + MOVQ (48)(REG_P3), AX; ADCQ R13, AX; MOVQ AX, (48)(REG_P3) + MOVQ (56)(REG_P3), AX; ADCQ R14, AX; MOVQ AX, (56)(REG_P3) + RET + +TEXT ·subP503(SB), NOSPLIT, $0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + // Used later to calculate a mask + XORQ CX, CX + + MOVQ ( 0)(REG_P1), R8 + MOVQ ( 8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + + SUBQ ( 0)(REG_P2), R8 + SBBQ ( 8)(REG_P2), R9 + SBBQ (16)(REG_P2), R10 + SBBQ (24)(REG_P2), R11 + SBBQ (32)(REG_P2), R12 + SBBQ (40)(REG_P2), R13 + SBBQ (48)(REG_P2), R14 + SBBQ (56)(REG_P2), R15 + + // mask + SBBQ $0, CX + + // store x-y in REG_P3 + MOVQ R8, ( 0)(REG_P3) + MOVQ R9, ( 8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + + // if z<0 add p503x2 back + MOVQ P503X2_0, R8 + MOVQ P503X2_1, R9 + MOVQ P503X2_3, R10 + MOVQ P503X2_4, R11 + MOVQ P503X2_5, R12 + MOVQ P503X2_6, R13 + MOVQ P503X2_7, R14 + ANDQ CX, R8 + ANDQ CX, R9 + ANDQ CX, R10 + ANDQ CX, R11 + ANDQ CX, R12 + ANDQ CX, R13 + ANDQ CX, R14 + MOVQ ( 0)(REG_P3), AX; ADDQ R8, AX; MOVQ AX, ( 0)(REG_P3) + MOVQ ( 8)(REG_P3), AX; ADCQ R9, AX; MOVQ AX, ( 8)(REG_P3) + MOVQ (16)(REG_P3), AX; ADCQ R9, AX; MOVQ AX, (16)(REG_P3) + MOVQ (24)(REG_P3), AX; ADCQ R10, AX; MOVQ AX, (24)(REG_P3) + MOVQ (32)(REG_P3), AX; ADCQ R11, AX; MOVQ AX, (32)(REG_P3) + MOVQ (40)(REG_P3), AX; ADCQ R12, AX; MOVQ AX, (40)(REG_P3) + MOVQ (48)(REG_P3), AX; ADCQ R13, AX; MOVQ AX, (48)(REG_P3) + MOVQ (56)(REG_P3), AX; ADCQ R14, AX; MOVQ AX, (56)(REG_P3) + + RET + +TEXT ·mulP503(SB), NOSPLIT, $104-24 + MOVQ z+0(FP), CX + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + // Check whether to use optimized implementation + CMPB ·HasADXandBMI2(SB), $1 + JE mul_with_mulx_adcx_adox + CMPB ·HasBMI2(SB), $1 + JE mul_with_mulx + + // Generic x86 implementation (below) uses variant of Karatsuba method. + // + // Here we store the destination in CX instead of in REG_P3 because the + // multiplication instructions use DX as an implicit destination + // operand: MULQ $REG sets DX:AX <-- AX * $REG. + + // RAX and RDX will be used for a mask (0-borrow) + XORQ AX, AX + + // RCX[0-3]: U1+U0 + MOVQ (32)(REG_P1), R8 + MOVQ (40)(REG_P1), R9 + MOVQ (48)(REG_P1), R10 + MOVQ (56)(REG_P1), R11 + ADDQ ( 0)(REG_P1), R8 + ADCQ ( 8)(REG_P1), R9 + ADCQ (16)(REG_P1), R10 + ADCQ (24)(REG_P1), R11 + MOVQ R8, ( 0)(CX) + MOVQ R9, ( 8)(CX) + MOVQ R10, (16)(CX) + MOVQ R11, (24)(CX) + + SBBQ $0, AX + + // R12-R15: V1+V0 + XORQ DX, DX + MOVQ (32)(REG_P2), R12 + MOVQ (40)(REG_P2), R13 + MOVQ (48)(REG_P2), R14 + MOVQ (56)(REG_P2), R15 + ADDQ ( 0)(REG_P2), R12 + ADCQ ( 8)(REG_P2), R13 + ADCQ (16)(REG_P2), R14 + ADCQ (24)(REG_P2), R15 + + SBBQ $0, DX + + // Store carries on stack + MOVQ AX, (64)(SP) + MOVQ DX, (72)(SP) + + // (SP[0-3],R8,R9,R10,R11) <- (U0+U1)*(V0+V1). + // MUL using comba; In comments below U=U0+U1 V=V0+V1 + + // U0*V0 + MOVQ (CX), AX + MULQ R12 + MOVQ AX, (SP) // C0 + MOVQ DX, R8 + + // U0*V1 + XORQ R9, R9 + MOVQ (CX), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + + // U1*V0 + XORQ R10, R10 + MOVQ (8)(CX), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, (8)(SP) // C1 + ADCQ DX, R9 + ADCQ $0, R10 + + // U0*V2 + XORQ R8, R8 + MOVQ (CX), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + // U2*V0 + MOVQ (16)(CX), AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + // U1*V1 + MOVQ (8)(CX), AX + MULQ R13 + ADDQ AX, R9 + MOVQ R9, (16)(SP) // C2 + ADCQ DX, R10 + ADCQ $0, R8 + + // U0*V3 + XORQ R9, R9 + MOVQ (CX), AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + // U3*V0 + MOVQ (24)(CX), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + // U1*V2 + MOVQ (8)(CX), AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + // U2*V1 + MOVQ (16)(CX), AX + MULQ R13 + ADDQ AX, R10 + MOVQ R10, (24)(SP) // C3 + ADCQ DX, R8 + ADCQ $0, R9 + + // U1*V3 + XORQ R10, R10 + MOVQ (8)(CX), AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + // U3*V1 + MOVQ (24)(CX), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + // U2*V2 + MOVQ (16)(CX), AX + MULQ R14 + ADDQ AX, R8 + MOVQ R8, (32)(SP) // C4 + ADCQ DX, R9 + ADCQ $0, R10 + + // U2*V3 + XORQ R11, R11 + MOVQ (16)(CX), AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R11 + + // U3*V2 + MOVQ (24)(CX), AX + MULQ R14 + ADDQ AX, R9 // C5 + ADCQ DX, R10 + ADCQ $0, R11 + + // U3*V3 + MOVQ (24)(CX), AX + MULQ R15 + ADDQ AX, R10 // C6 + ADCQ DX, R11 // C7 + + MOVQ (64)(SP), AX + ANDQ AX, R12 + ANDQ AX, R13 + ANDQ AX, R14 + ANDQ AX, R15 + ADDQ R8, R12 + ADCQ R9, R13 + ADCQ R10, R14 + ADCQ R11, R15 + + MOVQ (72)(SP), AX + MOVQ (CX), R8 + MOVQ (8)(CX), R9 + MOVQ (16)(CX), R10 + MOVQ (24)(CX), R11 + ANDQ AX, R8 + ANDQ AX, R9 + ANDQ AX, R10 + ANDQ AX, R11 + ADDQ R12, R8 + ADCQ R13, R9 + ADCQ R14, R10 + ADCQ R15, R11 + MOVQ R8, (32)(SP) + MOVQ R9, (40)(SP) + MOVQ R10, (48)(SP) + MOVQ R11, (56)(SP) + + // CX[0-7] <- AL*BL + + // U0*V0 + MOVQ (REG_P1), R11 + MOVQ (REG_P2), AX + MULQ R11 + XORQ R9, R9 + MOVQ AX, (CX) // C0 + MOVQ DX, R8 + + // U0*V1 + MOVQ (16)(REG_P1), R14 + MOVQ (8)(REG_P2), AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + ADCQ DX, R9 + + // U1*V0 + MOVQ (8)(REG_P1), R12 + MOVQ (REG_P2), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, (8)(CX) // C1 + ADCQ DX, R9 + ADCQ $0, R10 + + // U0*V2 + XORQ R8, R8 + MOVQ (16)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + // U2*V0 + MOVQ (REG_P2), R13 + MOVQ R14, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + // U1*V1 + MOVQ (8)(REG_P2), AX + MULQ R12 + ADDQ AX, R9 + MOVQ R9, (16)(CX) // C2 + ADCQ DX, R10 + ADCQ $0, R8 + + // U0*V3 + XORQ R9, R9 + MOVQ (24)(REG_P2), AX + MULQ R11 + MOVQ (24)(REG_P1), R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + // U3*V1 + MOVQ R15, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + // U2*V2 + MOVQ (16)(REG_P2), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + // U2*V3 + MOVQ (8)(REG_P2), AX + MULQ R14 + ADDQ AX, R10 + MOVQ R10, (24)(CX) // C3 + ADCQ DX, R8 + ADCQ $0, R9 + + // U3*V2 + XORQ R10, R10 + MOVQ (24)(REG_P2), AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + // U3*V1 + MOVQ (8)(REG_P2), AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + // U2*V2 + MOVQ (16)(REG_P2), AX + MULQ R14 + ADDQ AX, R8 + MOVQ R8, (32)(CX) // C4 + ADCQ DX, R9 + ADCQ $0, R10 + + // U2*V3 + XORQ R8, R8 + MOVQ (24)(REG_P2), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + // U3*V2 + MOVQ (16)(REG_P2), AX + MULQ R15 + ADDQ AX, R9 + MOVQ R9, (40)(CX) // C5 + ADCQ DX, R10 + ADCQ $0, R8 + + // U3*V3 + MOVQ (24)(REG_P2), AX + MULQ R15 + ADDQ AX, R10 + MOVQ R10, (48)(CX) // C6 + ADCQ DX, R8 + MOVQ R8, (56)(CX) // C7 + + // CX[8-15] <- U1*V1 + MOVQ (32)(REG_P1), R11 + MOVQ (32)(REG_P2), AX + MULQ R11 + XORQ R9, R9 + MOVQ AX, (64)(CX) // C0 + MOVQ DX, R8 + + MOVQ (48)(REG_P1), R14 + MOVQ (40)(REG_P2), AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + ADCQ DX, R9 + + MOVQ (40)(REG_P1), R12 + MOVQ (32)(REG_P2), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, (72)(CX) // C1 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (48)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (32)(REG_P2), R13 + MOVQ R14, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (40)(REG_P2), AX + MULQ R12 + ADDQ AX, R9 + MOVQ R9, (80)(CX) // C2 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (56)(REG_P2), AX + MULQ R11 + MOVQ (56)(REG_P1), R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ R15, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (48)(REG_P2), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (40)(REG_P2), AX + MULQ R14 + ADDQ AX, R10 + MOVQ R10, (88)(CX) // C3 + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ (56)(REG_P2), AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (40)(REG_P2), AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (48)(REG_P2), AX + MULQ R14 + ADDQ AX, R8 + MOVQ R8, (96)(CX) // C4 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (56)(REG_P2), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (48)(REG_P2), AX + MULQ R15 + ADDQ AX, R9 + MOVQ R9, (104)(CX) // C5 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (56)(REG_P2), AX + MULQ R15 + ADDQ AX, R10 + MOVQ R10, (112)(CX) // C6 + ADCQ DX, R8 + MOVQ R8, (120)(CX) // C7 + + // [R8-R15] <- (U0+U1)*(V0+V1) - U1*V1 + MOVQ (SP), R8 + SUBQ (CX), R8 + MOVQ (8)(SP), R9 + SBBQ (8)(CX), R9 + MOVQ (16)(SP), R10 + SBBQ (16)(CX), R10 + MOVQ (24)(SP), R11 + SBBQ (24)(CX), R11 + MOVQ (32)(SP), R12 + SBBQ (32)(CX), R12 + MOVQ (40)(SP), R13 + SBBQ (40)(CX), R13 + MOVQ (48)(SP), R14 + SBBQ (48)(CX), R14 + MOVQ (56)(SP), R15 + SBBQ (56)(CX), R15 + + // [R8-R15] <- (U0+U1)*(V0+V1) - U1*V0 - U0*U1 + MOVQ ( 64)(CX), AX; SUBQ AX, R8 + MOVQ ( 72)(CX), AX; SBBQ AX, R9 + MOVQ ( 80)(CX), AX; SBBQ AX, R10 + MOVQ ( 88)(CX), AX; SBBQ AX, R11 + MOVQ ( 96)(CX), AX; SBBQ AX, R12 + MOVQ (104)(CX), DX; SBBQ DX, R13 + MOVQ (112)(CX), DI; SBBQ DI, R14 + MOVQ (120)(CX), SI; SBBQ SI, R15 + + // Final result + ADDQ (32)(CX), R8; MOVQ R8, (32)(CX) + ADCQ (40)(CX), R9; MOVQ R9, (40)(CX) + ADCQ (48)(CX), R10; MOVQ R10, (48)(CX) + ADCQ (56)(CX), R11; MOVQ R11, (56)(CX) + ADCQ (64)(CX), R12; MOVQ R12, (64)(CX) + ADCQ (72)(CX), R13; MOVQ R13, (72)(CX) + ADCQ (80)(CX), R14; MOVQ R14, (80)(CX) + ADCQ (88)(CX), R15; MOVQ R15, (88)(CX) + ADCQ $0, AX; MOVQ AX, (96)(CX) + ADCQ $0, DX; MOVQ DX, (104)(CX) + ADCQ $0, DI; MOVQ DI, (112)(CX) + ADCQ $0, SI; MOVQ SI, (120)(CX) + RET + +mul_with_mulx_adcx_adox: + // Mul implementation for CPUs supporting two independent carry chain + // (ADOX/ADCX) instructions and carry-less MULX multiplier + MUL(CX, REG_P1, REG_P2, MULS256_MULX_ADCX_ADOX) + RET + +mul_with_mulx: + // Mul implementation for CPUs supporting carry-less MULX multiplier. + MUL(CX, REG_P1, REG_P2, MULS256_MULX) + RET + +TEXT ·rdcP503(SB), $0-16 + MOVQ z+0(FP), REG_P2 + MOVQ x+8(FP), REG_P1 + + // Check whether to use optimized implementation + CMPB ·HasADXandBMI2(SB), $1 + JE redc_with_mulx_adcx_adox + CMPB ·HasBMI2(SB), $1 + JE redc_with_mulx + + MOVQ (REG_P1), R11 + MOVQ P503P1_3, AX + MULQ R11 + XORQ R8, R8 + ADDQ (24)(REG_P1), AX + MOVQ AX, (24)(REG_P2) + ADCQ DX, R8 + + XORQ R9, R9 + MOVQ P503P1_4, AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + ADCQ DX, R9 + + MOVQ (8)(REG_P1), R12 + MOVQ P503P1_3, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (32)(REG_P1), R8 + MOVQ R8, (32)(REG_P2) // Z4 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P503P1_5, AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P503P1_4, AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (16)(REG_P1), R13 + MOVQ P503P1_3, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (40)(REG_P1), R9 + MOVQ R9, (40)(REG_P2) // Z5 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P503P1_6, AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P503P1_5, AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P503P1_4, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (24)(REG_P2), R14 + MOVQ P503P1_3, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (48)(REG_P1), R10 + MOVQ R10, (48)(REG_P2) // Z6 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P503P1_7, AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P503P1_6, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P503P1_5, AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P503P1_4, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (32)(REG_P2), R15 + MOVQ P503P1_3, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (56)(REG_P1), R8 + MOVQ R8, (56)(REG_P2) // Z7 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P503P1_7, AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P503P1_6, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P503P1_5, AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P503P1_4, AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (40)(REG_P2), CX + MOVQ P503P1_3, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (64)(REG_P1), R9 + MOVQ R9, (REG_P2) // Z0 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P503P1_7, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P503P1_6, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P503P1_5, AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P503P1_4, AX + MULQ CX + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (48)(REG_P2), R13 + MOVQ P503P1_3, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (72)(REG_P1), R10 + MOVQ R10, (8)(REG_P2) // Z1 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P503P1_7, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P503P1_6, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P503P1_5, AX + MULQ CX + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P503P1_4, AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (56)(REG_P2), R14 + MOVQ P503P1_3, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (80)(REG_P1), R8 + MOVQ R8, (16)(REG_P2) // Z2 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P503P1_7, AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P503P1_6, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P503P1_5, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P503P1_4, AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (88)(REG_P1), R9 + MOVQ R9, (24)(REG_P2) // Z3 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P503P1_7, AX + MULQ CX + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P503P1_6, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P503P1_5, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (96)(REG_P1), R10 + MOVQ R10, (32)(REG_P2) // Z4 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P503P1_7, AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P503P1_6, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (104)(REG_P1), R8 // Z5 + MOVQ R8, (40)(REG_P2) // Z5 + ADCQ $0, R9 + ADCQ $0, R10 + + MOVQ P503P1_7, AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADDQ (112)(REG_P1), R9 // Z6 + MOVQ R9, (48)(REG_P2) // Z6 + ADCQ $0, R10 + ADDQ (120)(REG_P1), R10 // Z7 + MOVQ R10, (56)(REG_P2) // Z7 + RET + +redc_with_mulx_adcx_adox: + // Implementation of the Montgomery reduction for CPUs + // supporting two independent carry chain (ADOX/ADCX) + // instructions and carry-less MULX multiplier + REDC(REG_P2, REG_P1, MULS_128x320_MULX_ADCX_ADOX) + RET + +redc_with_mulx: + // Implementation of the Montgomery reduction for CPUs + // supporting carry-less MULX multiplier. + REDC(REG_P2, REG_P1, MULS_128x320_MULX) + RET + +TEXT ·adlP503(SB), NOSPLIT, $0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + MOVQ (REG_P1), R8 + MOVQ (8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + MOVQ (64)(REG_P1), AX + MOVQ (72)(REG_P1), BX + MOVQ (80)(REG_P1), CX + + ADDQ (REG_P2), R8 + ADCQ (8)(REG_P2), R9 + ADCQ (16)(REG_P2), R10 + ADCQ (24)(REG_P2), R11 + ADCQ (32)(REG_P2), R12 + ADCQ (40)(REG_P2), R13 + ADCQ (48)(REG_P2), R14 + ADCQ (56)(REG_P2), R15 + ADCQ (64)(REG_P2), AX + ADCQ (72)(REG_P2), BX + ADCQ (80)(REG_P2), CX + + MOVQ R8, (REG_P3) + MOVQ R9, (8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + MOVQ AX, (64)(REG_P3) + MOVQ BX, (72)(REG_P3) + MOVQ CX, (80)(REG_P3) + + MOVQ (88)(REG_P1), R8 + MOVQ (96)(REG_P1), R9 + MOVQ (104)(REG_P1), R10 + MOVQ (112)(REG_P1), R11 + MOVQ (120)(REG_P1), R12 + + ADCQ (88)(REG_P2), R8 + ADCQ (96)(REG_P2), R9 + ADCQ (104)(REG_P2), R10 + ADCQ (112)(REG_P2), R11 + ADCQ (120)(REG_P2), R12 + + MOVQ R8, (88)(REG_P3) + MOVQ R9, (96)(REG_P3) + MOVQ R10, (104)(REG_P3) + MOVQ R11, (112)(REG_P3) + MOVQ R12, (120)(REG_P3) + + RET + +TEXT ·sulP503(SB), NOSPLIT, $0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + // Used later to store result of 0-borrow + XORQ CX, CX + + // SUBC for first 11 limbs + MOVQ (REG_P1), R8 + MOVQ (8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + MOVQ (64)(REG_P1), AX + MOVQ (72)(REG_P1), BX + + SUBQ (REG_P2), R8 + SBBQ (8)(REG_P2), R9 + SBBQ (16)(REG_P2), R10 + SBBQ (24)(REG_P2), R11 + SBBQ (32)(REG_P2), R12 + SBBQ (40)(REG_P2), R13 + SBBQ (48)(REG_P2), R14 + SBBQ (56)(REG_P2), R15 + SBBQ (64)(REG_P2), AX + SBBQ (72)(REG_P2), BX + + MOVQ R8, (REG_P3) + MOVQ R9, (8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + MOVQ AX, (64)(REG_P3) + MOVQ BX, (72)(REG_P3) + + // SUBC for last 5 limbs + MOVQ (80)(REG_P1), R8 + MOVQ (88)(REG_P1), R9 + MOVQ (96)(REG_P1), R10 + MOVQ (104)(REG_P1), R11 + MOVQ (112)(REG_P1), R12 + MOVQ (120)(REG_P1), R13 + + SBBQ (80)(REG_P2), R8 + SBBQ (88)(REG_P2), R9 + SBBQ (96)(REG_P2), R10 + SBBQ (104)(REG_P2), R11 + SBBQ (112)(REG_P2), R12 + SBBQ (120)(REG_P2), R13 + + MOVQ R8, (80)(REG_P3) + MOVQ R9, (88)(REG_P3) + MOVQ R10, (96)(REG_P3) + MOVQ R11, (104)(REG_P3) + MOVQ R12, (112)(REG_P3) + MOVQ R13, (120)(REG_P3) + + // Now the carry flag is 1 if x-y < 0. If so, add p*2^512. + SBBQ $0, CX + + // Load p into registers: + MOVQ P503_0, R8 + // P503_{1,2} = P503_0, so reuse R8 + MOVQ P503_3, R9 + MOVQ P503_4, R10 + MOVQ P503_5, R11 + MOVQ P503_6, R12 + MOVQ P503_7, R13 + + ANDQ CX, R8 + ANDQ CX, R9 + ANDQ CX, R10 + ANDQ CX, R11 + ANDQ CX, R12 + ANDQ CX, R13 + + MOVQ (64 )(REG_P3), AX; ADDQ R8, AX; MOVQ AX, (64 )(REG_P3) + MOVQ (64+ 8)(REG_P3), AX; ADCQ R8, AX; MOVQ AX, (64+ 8)(REG_P3) + MOVQ (64+16)(REG_P3), AX; ADCQ R8, AX; MOVQ AX, (64+16)(REG_P3) + MOVQ (64+24)(REG_P3), AX; ADCQ R9, AX; MOVQ AX, (64+24)(REG_P3) + MOVQ (64+32)(REG_P3), AX; ADCQ R10, AX; MOVQ AX, (64+32)(REG_P3) + MOVQ (64+40)(REG_P3), AX; ADCQ R11, AX; MOVQ AX, (64+40)(REG_P3) + MOVQ (64+48)(REG_P3), AX; ADCQ R12, AX; MOVQ AX, (64+48)(REG_P3) + MOVQ (64+56)(REG_P3), AX; ADCQ R13, AX; MOVQ AX, (64+56)(REG_P3) + + RET diff --git a/src/circl/dh/sidh/internal/p503/arith_amd64_test.go b/src/circl/dh/sidh/internal/p503/arith_amd64_test.go new file mode 100644 index 00000000000..bfe4226ba66 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/arith_amd64_test.go @@ -0,0 +1,140 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build amd64,!noasm + +package p503 + +import ( + "reflect" + "testing" + "testing/quick" + + "circl/dh/sidh/internal/common" + "internal/cpu" +) + +type OptimFlag uint + +const ( + // Indicates that optimisation which uses MUL instruction should be used + kUse_MUL OptimFlag = 1 << 0 + // Indicates that optimisation which uses MULX instruction should be used + kUse_MULX = 1 << 1 + // Indicates that optimisation which uses MULX, ADOX and ADCX instructions should be used + kUse_MULXandADxX = 1 << 2 +) + +func resetCpuFeatures() { + HasBMI2 = cpu.X86.HasBMI2 + HasADXandBMI2 = cpu.X86.HasBMI2 && cpu.X86.HasADX +} + +// Utility function used for testing Mul implementations. Tests caller provided +// mulFunc against mul() +func testMul(t *testing.T, f1, f2 OptimFlag) { + doMulTest := func(multiplier, multiplicant common.Fp) bool { + defer resetCpuFeatures() + var resMulRef, resMulOptim common.FpX2 + + // Compute multiplier*multiplicant with first implementation + HasBMI2 = (kUse_MULX & f1) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f1) == kUse_MULXandADxX + mulP503(&resMulOptim, &multiplier, &multiplicant) + + // Compute multiplier*multiplicant with second implementation + HasBMI2 = (kUse_MULX & f2) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f2) == kUse_MULXandADxX + mulP503(&resMulRef, &multiplier, &multiplicant) + + // Compare results + return reflect.DeepEqual(resMulRef, resMulOptim) + } + + if err := quick.Check(doMulTest, quickCheckConfig); err != nil { + t.Error(err) + } +} + +// Utility function used for testing REDC implementations. Tests caller provided +// redcFunc against redc() +func testRedc(t *testing.T, f1, f2 OptimFlag) { + doRedcTest := func(aRR common.FpX2) bool { + defer resetCpuFeatures() + var resRedcF1, resRedcF2 common.Fp + var aRRcpy = aRR + + // Compute redc with first implementation + HasBMI2 = (kUse_MULX & f1) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f1) == kUse_MULXandADxX + rdcP503(&resRedcF1, &aRR) + + // Compute redc with second implementation + HasBMI2 = (kUse_MULX & f2) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f2) == kUse_MULXandADxX + rdcP503(&resRedcF2, &aRRcpy) + + // Compare results + return reflect.DeepEqual(resRedcF2, resRedcF1) + } + + if err := quick.Check(doRedcTest, quickCheckConfig); err != nil { + t.Error(err) + } +} + +// Ensures correctness of implementation of mul operation which uses MULX +func TestMulWithMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasBMI2 { + t.Skip("MULX not supported by the platform") + } + testMul(t, kUse_MULX, kUse_MUL) +} + +// Ensures correctness of implementation of mul operation which uses MULX and ADOX/ADCX +func TestMulWithMULXADxX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testMul(t, kUse_MULXandADxX, kUse_MUL) +} + +// Ensures correctness of implementation of mul operation which uses MULX and ADOX/ADCX +func TestMulWithMULXADxXAgainstMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testMul(t, kUse_MULX, kUse_MULXandADxX) +} + +// Ensures correctness of Montgomery reduction implementation which uses MULX +func TestRedcWithMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasBMI2 { + t.Skip("MULX not supported by the platform") + } + testRedc(t, kUse_MULX, kUse_MUL) +} + +// Ensures correctness of Montgomery reduction implementation which uses MULX +// and ADCX/ADOX. +func TestRedcWithMULXADxX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testRedc(t, kUse_MULXandADxX, kUse_MUL) +} + +// Ensures correctness of Montgomery reduction implementation which uses MULX +// and ADCX/ADOX. +func TestRedcWithMULXADxXAgainstMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testRedc(t, kUse_MULXandADxX, kUse_MULX) +} diff --git a/src/circl/dh/sidh/internal/p503/arith_arm64.s b/src/circl/dh/sidh/internal/p503/arith_arm64.s new file mode 100644 index 00000000000..a393670e656 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/arith_arm64.s @@ -0,0 +1,769 @@ +// +build arm64,!noasm + +#include "textflag.h" + +TEXT ·cswapP503(SB), NOSPLIT, $0-17 + MOVD x+0(FP), R0 + MOVD y+8(FP), R1 + MOVB choice+16(FP), R2 + + // Set flags + // If choice is not 0 or 1, this implementation will swap completely + CMP $0, R2 + + LDP 0(R0), (R3, R4) + LDP 0(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 0(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 0(R1) + + LDP 16(R0), (R3, R4) + LDP 16(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 16(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 16(R1) + + LDP 32(R0), (R3, R4) + LDP 32(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 32(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 32(R1) + + LDP 48(R0), (R3, R4) + LDP 48(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 48(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 48(R1) + + RET + +TEXT ·addP503(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + // Load first summand into R3-R10 + // Add first summand and second summand and store result in R3-R10 + LDP 0(R0), (R3, R4) + LDP 0(R1), (R11, R12) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R13, R14) + ADDS R11, R3 + ADCS R12, R4 + ADCS R13, R5 + ADCS R14, R6 + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R11, R12) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R13, R14) + ADCS R11, R7 + ADCS R12, R8 + ADCS R13, R9 + ADC R14, R10 + + // Subtract 2 * p503 in R11-R17 from the result in R3-R10 + LDP ·P503x2+0(SB), (R11, R12) + LDP ·P503x2+24(SB), (R13, R14) + SUBS R11, R3 + SBCS R12, R4 + LDP ·P503x2+40(SB), (R15, R16) + SBCS R12, R5 + SBCS R13, R6 + MOVD ·P503x2+56(SB), R17 + SBCS R14, R7 + SBCS R15, R8 + SBCS R16, R9 + SBCS R17, R10 + SBC ZR, ZR, R19 + + // If x + y - 2 * p503 < 0, R19 is 1 and 2 * p503 should be added + AND R19, R11 + AND R19, R12 + AND R19, R13 + AND R19, R14 + AND R19, R15 + AND R19, R16 + AND R19, R17 + + ADDS R11, R3 + ADCS R12, R4 + STP (R3, R4), 0(R2) + ADCS R12, R5 + ADCS R13, R6 + STP (R5, R6), 16(R2) + ADCS R14, R7 + ADCS R15, R8 + STP (R7, R8), 32(R2) + ADCS R16, R9 + ADC R17, R10 + STP (R9, R10), 48(R2) + + RET + +TEXT ·subP503(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + // Load x into R3-R10 + // Subtract y from x and store result in R3-R10 + LDP 0(R0), (R3, R4) + LDP 0(R1), (R11, R12) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R13, R14) + SUBS R11, R3 + SBCS R12, R4 + SBCS R13, R5 + SBCS R14, R6 + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R11, R12) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R13, R14) + SBCS R11, R7 + SBCS R12, R8 + SBCS R13, R9 + SBCS R14, R10 + SBC ZR, ZR, R19 + + // If x - y < 0, R19 is 1 and 2 * p503 should be added + LDP ·P503x2+0(SB), (R11, R12) + LDP ·P503x2+24(SB), (R13, R14) + AND R19, R11 + AND R19, R12 + LDP ·P503x2+40(SB), (R15, R16) + AND R19, R13 + AND R19, R14 + MOVD ·P503x2+56(SB), R17 + AND R19, R15 + AND R19, R16 + AND R19, R17 + + ADDS R11, R3 + ADCS R12, R4 + STP (R3, R4), 0(R2) + ADCS R12, R5 + ADCS R13, R6 + STP (R5, R6), 16(R2) + ADCS R14, R7 + ADCS R15, R8 + STP (R7, R8), 32(R2) + ADCS R16, R9 + ADC R17, R10 + STP (R9, R10), 48(R2) + + RET + +TEXT ·adlP503(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + LDP 0(R0), (R3, R4) + LDP 0(R1), (R11, R12) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R13, R14) + ADDS R11, R3 + ADCS R12, R4 + STP (R3, R4), 0(R2) + ADCS R13, R5 + ADCS R14, R6 + STP (R5, R6), 16(R2) + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R11, R12) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R13, R14) + ADCS R11, R7 + ADCS R12, R8 + STP (R7, R8), 32(R2) + ADCS R13, R9 + ADCS R14, R10 + STP (R9, R10), 48(R2) + + LDP 64(R0), (R3, R4) + LDP 64(R1), (R11, R12) + LDP 80(R0), (R5, R6) + LDP 80(R1), (R13, R14) + ADCS R11, R3 + ADCS R12, R4 + STP (R3, R4), 64(R2) + ADCS R13, R5 + ADCS R14, R6 + STP (R5, R6), 80(R2) + + LDP 96(R0), (R7, R8) + LDP 96(R1), (R11, R12) + LDP 112(R0), (R9, R10) + LDP 112(R1), (R13, R14) + ADCS R11, R7 + ADCS R12, R8 + STP (R7, R8), 96(R2) + ADCS R13, R9 + ADC R14, R10 + STP (R9, R10), 112(R2) + + RET + +TEXT ·sulP503(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + LDP 0(R0), (R3, R4) + LDP 0(R1), (R11, R12) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R13, R14) + SUBS R11, R3 + SBCS R12, R4 + STP (R3, R4), 0(R2) + SBCS R13, R5 + SBCS R14, R6 + STP (R5, R6), 16(R2) + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R11, R12) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R13, R14) + SBCS R11, R7 + SBCS R12, R8 + STP (R7, R8), 32(R2) + SBCS R13, R9 + SBCS R14, R10 + STP (R9, R10), 48(R2) + + LDP 64(R0), (R3, R4) + LDP 64(R1), (R11, R12) + LDP 80(R0), (R5, R6) + LDP 80(R1), (R13, R14) + SBCS R11, R3 + SBCS R12, R4 + SBCS R13, R5 + SBCS R14, R6 + + LDP 96(R0), (R7, R8) + LDP 96(R1), (R11, R12) + LDP 112(R0), (R9, R10) + LDP 112(R1), (R13, R14) + SBCS R11, R7 + SBCS R12, R8 + SBCS R13, R9 + SBCS R14, R10 + SBC ZR, ZR, R15 + + // If x - y < 0, R15 is 1 and p503 should be added + LDP ·P503+16(SB), (R16, R17) + LDP ·P503+32(SB), (R19, R20) + AND R15, R16 + AND R15, R17 + LDP ·P503+48(SB), (R21, R22) + AND R15, R19 + AND R15, R20 + AND R15, R21 + AND R15, R22 + + ADDS R16, R3 + ADCS R16, R4 + STP (R3, R4), 64(R2) + ADCS R16, R5 + ADCS R17, R6 + STP (R5, R6), 80(R2) + ADCS R19, R7 + ADCS R20, R8 + STP (R7, R8), 96(R2) + ADCS R21, R9 + ADC R22, R10 + STP (R9, R10), 112(R2) + + RET + +// Expects that X0*Y0 is already in Z0(low),Z3(high) and X0*Y1 in Z1(low),Z2(high) +// Z0 is not actually touched +// Result of (X0-X1) * (Y0-Y1) will be in Z0-Z3 +// Inputs get overwritten, except for X1 +#define mul128x128comba(X0, X1, Y0, Y1, Z0, Z1, Z2, Z3, T0) \ + MUL X1, Y0, X0 \ + UMULH X1, Y0, Y0 \ + ADDS Z3, Z1 \ + ADC ZR, Z2 \ + \ + MUL Y1, X1, T0 \ + UMULH Y1, X1, Y1 \ + ADDS X0, Z1 \ + ADCS Y0, Z2 \ + ADC ZR, ZR, Z3 \ + \ + ADDS T0, Z2 \ + ADC Y1, Z3 + +// Expects that X points to (X0-X1) +// Result of (X0-X3) * (Y0-Y3) will be in Z0-Z7 +// Inputs get overwritten, except X2-X3 and Y2-Y3 +#define mul256x256karatsuba(X, X0, X1, X2, X3, Y0, Y1, Y2, Y3, Z0, Z1, Z2, Z3, Z4, Z5, Z6, Z7, T0, T1)\ + ADDS X2, X0 \ // xH + xL, destroys xL + ADCS X3, X1 \ + ADCS ZR, ZR, T0 \ + \ + ADDS Y2, Y0, Z6 \ // yH + yL + ADCS Y3, Y1, T1 \ + ADC ZR, ZR, Z7 \ + \ + SUB T0, ZR, Z2 \ + SUB Z7, ZR, Z3 \ + AND Z7, T0 \ // combined carry + \ + AND Z2, Z6, Z0 \ // masked(yH + yL) + AND Z2, T1, Z1 \ + \ + AND Z3, X0, Z4 \ // masked(xH + xL) + AND Z3, X1, Z5 \ + \ + MUL Z6, X0, Z2 \ + MUL T1, X0, Z3 \ + \ + ADDS Z4, Z0 \ + UMULH T1, X0, Z4 \ + ADCS Z5, Z1 \ + UMULH Z6, X0, Z5 \ + ADC ZR, T0 \ + \ // (xH + xL) * (yH + yL) + mul128x128comba(X0, X1, Z6, T1, Z2, Z3, Z4, Z5, Z7)\ + \ + LDP 0+X, (X0, X1) \ + \ + ADDS Z0, Z4 \ + UMULH Y0, X0, Z7 \ + UMULH Y1, X0, T1 \ + ADCS Z1, Z5 \ + MUL Y0, X0, Z0 \ + MUL Y1, X0, Z1 \ + ADC ZR, T0 \ + \ // xL * yL + mul128x128comba(X0, X1, Y0, Y1, Z0, Z1, T1, Z7, Z6)\ + \ + MUL Y2, X2, X0 \ + UMULH Y2, X2, Y0 \ + SUBS Z0, Z2 \ // (xH + xL) * (yH + yL) - xL * yL + SBCS Z1, Z3 \ + SBCS T1, Z4 \ + MUL Y3, X2, X1 \ + UMULH Y3, X2, Z6 \ + SBCS Z7, Z5 \ + SBCS ZR, T0 \ + \ // xH * yH + mul128x128comba(X2, X3, Y2, Y3, X0, X1, Z6, Y0, Y1)\ + \ + SUBS X0, Z2 \ // (xH + xL) * (yH + yL) - xL * yL - xH * yH + SBCS X1, Z3 \ + SBCS Z6, Z4 \ + SBCS Y0, Z5 \ + SBCS ZR, T0 \ + \ + ADDS T1, Z2 \ // (xH * yH) * 2^256 + ((xH + xL) * (yH + yL) - xL * yL - xH * yH) * 2^128 + xL * yL + ADCS Z7, Z3 \ + ADCS X0, Z4 \ + ADCS X1, Z5 \ + ADCS T0, Z6 \ + ADC Y0, ZR, Z7 + + +// This implements two-level Karatsuba with a 128x128 Comba multiplier +// at the bottom +TEXT ·mulP503(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + // Load xL in R3-R6, xH in R7-R10 + // (xH + xL) in R25-R29 + LDP 0(R0), (R3, R4) + LDP 32(R0), (R7, R8) + ADDS R3, R7, R25 + ADCS R4, R8, R26 + LDP 16(R0), (R5, R6) + LDP 48(R0), (R9, R10) + ADCS R5, R9, R27 + ADCS R6, R10, R29 + ADC ZR, ZR, R7 + + // Load yL in R11-R14, yH in R15-19 + // (yH + yL) in R11-R14, destroys yL + LDP 0(R1), (R11, R12) + LDP 32(R1), (R15, R16) + ADDS R15, R11 + ADCS R16, R12 + LDP 16(R1), (R13, R14) + LDP 48(R1), (R17, R19) + ADCS R17, R13 + ADCS R19, R14 + ADC ZR, ZR, R8 + + // Compute masks and combined carry + SUB R7, ZR, R9 + SUB R8, ZR, R10 + AND R8, R7 + + // masked(yH + yL) + AND R9, R11, R15 + AND R9, R12, R16 + AND R9, R13, R17 + AND R9, R14, R19 + + // masked(xH + xL) + AND R10, R25, R20 + AND R10, R26, R21 + AND R10, R27, R22 + AND R10, R29, R23 + + // masked(xH + xL) + masked(yH + yL) in R15-R19 + ADDS R20, R15 + ADCS R21, R16 + ADCS R22, R17 + ADCS R23, R19 + ADC ZR, R7 + + // Use z as temporary storage + STP (R25, R26), 0(R2) + + // (xH + xL) * (yH + yL) + mul256x256karatsuba(0(R2), R25, R26, R27, R29, R11, R12, R13, R14, R8, R9, R10, R20, R21, R22, R23, R24, R0, R1) + + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + ADDS R21, R15 + ADCS R22, R16 + ADCS R23, R17 + ADCS R24, R19 + ADC ZR, R7 + + // Load yL in R11-R14 + LDP 0(R1), (R11, R12) + LDP 16(R1), (R13, R14) + + // xL * yL + mul256x256karatsuba(0(R0), R3, R4, R5, R6, R11, R12, R13, R14, R21, R22, R23, R24, R25, R26, R27, R29, R1, R2) + + MOVD z+0(FP), R2 + MOVD y+16(FP), R1 + + // (xH + xL) * (yH + yL) - xL * yL + SUBS R21, R8 + SBCS R22, R9 + STP (R21, R22), 0(R2) + SBCS R23, R10 + SBCS R24, R20 + STP (R23, R24), 16(R2) + SBCS R25, R15 + SBCS R26, R16 + SBCS R27, R17 + SBCS R29, R19 + SBC ZR, R7 + + // Load xH in R3-R6, yH in R11-R14 + LDP 32(R0), (R3, R4) + LDP 48(R0), (R5, R6) + LDP 32(R1), (R11, R12) + LDP 48(R1), (R13, R14) + + ADDS R25, R8 + ADCS R26, R9 + ADCS R27, R10 + ADCS R29, R20 + ADC ZR, ZR, R1 + + MOVD R20, 32(R2) + + // xH * yH + mul256x256karatsuba(32(R0), R3, R4, R5, R6, R11, R12, R13, R14, R21, R22, R23, R24, R25, R26, R27, R29, R2, R20) + NEG R1, R1 + + MOVD z+0(FP), R2 + MOVD 32(R2), R20 + + // (xH + xL) * (yH + yL) - xL * yL - xH * yH in R8-R10,R20,R15-R19 + // Store lower half in z, that's done + SUBS R21, R8 + SBCS R22, R9 + STP (R8, R9), 32(R2) + SBCS R23, R10 + SBCS R24, R20 + STP (R10, R20), 48(R2) + SBCS R25, R15 + SBCS R26, R16 + SBCS R27, R17 + SBCS R29, R19 + SBC ZR, R7 + + // (xH * yH) * 2^512 + ((xH + xL) * (yH + yL) - xL * yL - xH * yH) * 2^256 + xL * yL + // Store remaining limbs in z + ADDS $1, R1 + ADCS R21, R15 + ADCS R22, R16 + STP (R15, R16), 64(R2) + ADCS R23, R17 + ADCS R24, R19 + STP (R17, R19), 80(R2) + ADCS R7, R25 + ADCS ZR, R26 + STP (R25, R26), 96(R2) + ADCS ZR, R27 + ADC ZR, R29 + STP (R27, R29), 112(R2) + + RET + +// Expects that X0*Y0 is already in Z0(low),Z3(high) and X0*Y1 in Z1(low),Z2(high) +// Z0 is not actually touched +// Result of (X0-X1) * (Y0-Y3) will be in Z0-Z5 +// Inputs remain intact +#define mul128x256comba(X0, X1, Y0, Y1, Y2, Y3, Z0, Z1, Z2, Z3, Z4, Z5, T0, T1, T2, T3)\ + MUL X1, Y0, T0 \ + UMULH X1, Y0, T1 \ + ADDS Z3, Z1 \ + ADC ZR, Z2 \ + \ + MUL X0, Y2, T2 \ + UMULH X0, Y2, T3 \ + ADDS T0, Z1 \ + ADCS T1, Z2 \ + ADC ZR, ZR, Z3 \ + \ + MUL X1, Y1, T0 \ + UMULH X1, Y1, T1 \ + ADDS T2, Z2 \ + ADCS T3, Z3 \ + ADC ZR, ZR, Z4 \ + \ + MUL X0, Y3, T2 \ + UMULH X0, Y3, T3 \ + ADDS T0, Z2 \ + ADCS T1, Z3 \ + ADC ZR, Z4 \ + \ + MUL X1, Y2, T0 \ + UMULH X1, Y2, T1 \ + ADDS T2, Z3 \ + ADCS T3, Z4 \ + ADC ZR, ZR, Z5 \ + \ + MUL X1, Y3, T2 \ + UMULH X1, Y3, T3 \ + ADDS T0, Z3 \ + ADCS T1, Z4 \ + ADC ZR, Z5 \ + ADDS T2, Z4 \ + ADC T3, Z5 + +// This implements the shifted 2^(B*w) Montgomery reduction from +// https://eprint.iacr.org/2016/986.pdf with B = 4, w = 64 +TEXT ·rdcP503(SB), NOSPLIT, $0-16 + MOVD x+8(FP), R0 + + // Load x0-x1 + LDP 0(R0), (R2, R3) + + // Load the prime constant in R25-R29 + LDP ·P503p1s8+32(SB), (R25, R26) + LDP ·P503p1s8+48(SB), (R27, R29) + + // [x0,x1] * p503p1s8 to R4-R9 + MUL R2, R25, R4 // x0 * p503p1s8[0] + UMULH R2, R25, R7 + MUL R2, R26, R5 // x0 * p503p1s8[1] + UMULH R2, R26, R6 + + mul128x256comba(R2, R3, R25, R26, R27, R29, R4, R5, R6, R7, R8, R9, R10, R11, R12, R13) + + LDP 16(R0), (R3, R11) // x2 + LDP 32(R0), (R12, R13) + LDP 48(R0), (R14, R15) + + // Left-shift result in R4-R9 by 56 to R4-R10 + ORR R9>>8, ZR, R10 + LSL $56, R9 + ORR R8>>8, R9 + LSL $56, R8 + ORR R7>>8, R8 + LSL $56, R7 + ORR R6>>8, R7 + LSL $56, R6 + ORR R5>>8, R6 + LSL $56, R5 + ORR R4>>8, R5 + LSL $56, R4 + + ADDS R4, R11 // x3 + ADCS R5, R12 // x4 + ADCS R6, R13 + ADCS R7, R14 + ADCS R8, R15 + LDP 64(R0), (R16, R17) + LDP 80(R0), (R19, R20) + MUL R3, R25, R4 // x2 * p503p1s8[0] + UMULH R3, R25, R7 + ADCS R9, R16 + ADCS R10, R17 + ADCS ZR, R19 + ADCS ZR, R20 + LDP 96(R0), (R21, R22) + LDP 112(R0), (R23, R24) + MUL R3, R26, R5 // x2 * p503p1s8[1] + UMULH R3, R26, R6 + ADCS ZR, R21 + ADCS ZR, R22 + ADCS ZR, R23 + ADC ZR, R24 + + // [x2,x3] * p503p1s8 to R4-R9 + mul128x256comba(R3, R11, R25, R26, R27, R29, R4, R5, R6, R7, R8, R9, R10, R0, R1, R2) + + ORR R9>>8, ZR, R10 + LSL $56, R9 + ORR R8>>8, R9 + LSL $56, R8 + ORR R7>>8, R8 + LSL $56, R7 + ORR R6>>8, R7 + LSL $56, R6 + ORR R5>>8, R6 + LSL $56, R5 + ORR R4>>8, R5 + LSL $56, R4 + + ADDS R4, R13 // x5 + ADCS R5, R14 // x6 + ADCS R6, R15 + ADCS R7, R16 + MUL R12, R25, R4 // x4 * p503p1s8[0] + UMULH R12, R25, R7 + ADCS R8, R17 + ADCS R9, R19 + ADCS R10, R20 + ADCS ZR, R21 + MUL R12, R26, R5 // x4 * p503p1s8[1] + UMULH R12, R26, R6 + ADCS ZR, R22 + ADCS ZR, R23 + ADC ZR, R24 + + // [x4,x5] * p503p1s8 to R4-R9 + mul128x256comba(R12, R13, R25, R26, R27, R29, R4, R5, R6, R7, R8, R9, R10, R0, R1, R2) + + ORR R9>>8, ZR, R10 + LSL $56, R9 + ORR R8>>8, R9 + LSL $56, R8 + ORR R7>>8, R8 + LSL $56, R7 + ORR R6>>8, R7 + LSL $56, R6 + ORR R5>>8, R6 + LSL $56, R5 + ORR R4>>8, R5 + LSL $56, R4 + + ADDS R4, R15 // x7 + ADCS R5, R16 // x8 + ADCS R6, R17 + ADCS R7, R19 + MUL R14, R25, R4 // x6 * p503p1s8[0] + UMULH R14, R25, R7 + ADCS R8, R20 + ADCS R9, R21 + ADCS R10, R22 + MUL R14, R26, R5 // x6 * p503p1s8[1] + UMULH R14, R26, R6 + ADCS ZR, R23 + ADC ZR, R24 + + // [x6,x7] * p503p1s8 to R4-R9 + mul128x256comba(R14, R15, R25, R26, R27, R29, R4, R5, R6, R7, R8, R9, R10, R0, R1, R2) + + ORR R9>>8, ZR, R10 + LSL $56, R9 + ORR R8>>8, R9 + LSL $56, R8 + ORR R7>>8, R8 + LSL $56, R7 + ORR R6>>8, R7 + LSL $56, R6 + ORR R5>>8, R6 + LSL $56, R5 + ORR R4>>8, R5 + LSL $56, R4 + + MOVD z+0(FP), R0 + ADDS R4, R17 + ADCS R5, R19 + STP (R16, R17), 0(R0) // Store final result to z + ADCS R6, R20 + ADCS R7, R21 + STP (R19, R20), 16(R0) + ADCS R8, R22 + ADCS R9, R23 + STP (R21, R22), 32(R0) + ADC R10, R24 + STP (R23, R24), 48(R0) + + RET + +TEXT ·modP503(SB), NOSPLIT, $0-8 + MOVD x+0(FP), R0 + + // Keep x in R1-R8, p503 in R9-R14, subtract to R1-R8 + LDP ·P503+16(SB), (R9, R10) + LDP 0(R0), (R1, R2) + LDP 16(R0), (R3, R4) + SUBS R9, R1 + SBCS R9, R2 + + LDP 32(R0), (R5, R6) + LDP ·P503+32(SB), (R11, R12) + SBCS R9, R3 + SBCS R10, R4 + + LDP 48(R0), (R7, R8) + LDP ·P503+48(SB), (R13, R14) + SBCS R11, R5 + SBCS R12, R6 + + SBCS R13, R7 + SBCS R14, R8 + SBC ZR, ZR, R15 + + // Mask with the borrow and add p503 + AND R15, R9 + AND R15, R10 + AND R15, R11 + AND R15, R12 + AND R15, R13 + AND R15, R14 + + ADDS R9, R1 + ADCS R9, R2 + STP (R1, R2), 0(R0) + ADCS R9, R3 + ADCS R10, R4 + STP (R3, R4), 16(R0) + ADCS R11, R5 + ADCS R12, R6 + STP (R5, R6), 32(R0) + ADCS R13, R7 + ADCS R14, R8 + STP (R7, R8), 48(R0) + + RET diff --git a/src/circl/dh/sidh/internal/p503/arith_decl.go b/src/circl/dh/sidh/internal/p503/arith_decl.go new file mode 100644 index 00000000000..a8a466e94af --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/arith_decl.go @@ -0,0 +1,45 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build amd64,!noasm arm64,!noasm + +package p503 + +import ( + . "circl/dh/sidh/internal/common" +) + +// If choice = 0, leave x,y unchanged. If choice = 1, set x,y = y,x. +// If choice is neither 0 nor 1 then behaviour is undefined. +// This function executes in constant time. +//go:noescape +func cswapP503(x, y *Fp, choice uint8) + +// Compute z = x + y (mod p). +//go:noescape +func addP503(z, x, y *Fp) + +// Compute z = x - y (mod p). +//go:noescape +func subP503(z, x, y *Fp) + +// Compute z = x + y, without reducing mod p. +//go:noescape +func adlP503(z, x, y *FpX2) + +// Compute z = x - y, without reducing mod p. +//go:noescape +func sulP503(z, x, y *FpX2) + +// Reduce a field element in [0, 2*p) to one in [0,p). +//go:noescape +func modP503(x *Fp) + +// Computes z = x * y. +//go:noescape +func mulP503(z *FpX2, x, y *Fp) + +// Computes the Montgomery reduction z = x R^{-1} (mod 2*p). On return value +// of x may be changed. z=x not allowed. +//go:noescape +func rdcP503(z *Fp, x *FpX2) diff --git a/src/circl/dh/sidh/internal/p503/arith_generic.go b/src/circl/dh/sidh/internal/p503/arith_generic.go new file mode 100644 index 00000000000..3c288c24aa5 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/arith_generic.go @@ -0,0 +1,192 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build noasm !amd64,!arm64 + +package p503 + +import ( + "math/bits" + + "circl/dh/sidh/internal/common" +) + +// Compute z = x + y (mod p). +func addP503(z, x, y *common.Fp) { + var carry uint64 + + // z=x+y % P503 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } + + // z = z - P503x2 + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Sub64(z[i], P503x2[i], carry) + } + + // if z<0 add P503x2 back + mask := uint64(0 - carry) + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(z[i], P503x2[i]&mask, carry) + } +} + +// Compute z = x - y (mod p). +func subP503(z, x, y *common.Fp) { + var borrow uint64 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + mask := uint64(0 - borrow) + borrow = 0 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Add64(z[i], P503x2[i]&mask, borrow) + } +} + +// Conditionally swaps bits in x and y in constant time. +// mask indicates bits to be swapped (set bits are swapped) +// For details see "Hackers Delight, 2.20" +// +// Implementation doesn't actually depend on a prime field. +func cswapP503(x, y *common.Fp, mask uint8) { + var tmp, mask64 uint64 + + mask64 = 0 - uint64(mask) + for i := 0; i < FpWords; i++ { + tmp = mask64 & (x[i] ^ y[i]) + x[i] = tmp ^ x[i] + y[i] = tmp ^ y[i] + } +} + +// Perform Montgomery reduction: set z = x R^{-1} (mod 2*p) +// with R=2^(FpWords*64). Destroys the input value. +func rdcP503(z *common.Fp, x *common.FpX2) { + var carry, t, u, v uint64 + var hi, lo uint64 + var count int + + count = P503p1Zeros + + for i := 0; i < FpWords; i++ { + for j := 0; j < i; j++ { + if j < (i - count + 1) { + hi, lo = bits.Mul64(z[j], P503p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + t += carry + + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < 2*FpWords-1; i++ { + if count > 0 { + count-- + } + for j := i - FpWords + 1; j < FpWords; j++ { + if j < (FpWords - count) { + hi, lo = bits.Mul64(z[j], P503p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + + t += carry + z[i-FpWords] = v + v = u + u = t + t = 0 + } + v, _ = bits.Add64(v, x[2*FpWords-1], 0) + z[FpWords-1] = v +} + +// Compute z = x * y. +func mulP503(z *common.FpX2, x, y *common.Fp) { + var u, v, t uint64 + var hi, lo uint64 + var carry uint64 + + for i := uint64(0); i < FpWords; i++ { + for j := uint64(0); j <= i; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < (2*FpWords)-1; i++ { + for j := i - FpWords + 1; j < FpWords; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + z[2*FpWords-1] = v +} + +// Compute z = x + y, without reducing mod p. +func adlP503(z, x, y *common.FpX2) { + var carry uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } +} + +// Reduce a field element in [0, 2*p) to one in [0,p). +func modP503(x *common.Fp) { + var borrow, mask uint64 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Sub64(x[i], P503[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Add64(x[i], P503[i]&mask, borrow) + } +} + +// Compute z = x - y, without reducing mod p. +func sulP503(z, x, y *common.FpX2) { + var borrow, mask uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := FpWords; i < 2*FpWords; i++ { + z[i], borrow = bits.Add64(z[i], P503[i-FpWords]&mask, borrow) + } +} diff --git a/src/circl/dh/sidh/internal/p503/arith_test.go b/src/circl/dh/sidh/internal/p503/arith_test.go new file mode 100644 index 00000000000..c2ad848079b --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/arith_test.go @@ -0,0 +1,101 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p503 + +import ( + "testing" + + "circl/dh/sidh/internal/common" +) + +// Package-level storage for this field element is intended to deter +// compiler optimizations. +var ( + benchmarkFp common.Fp + benchmarkFpX2 common.FpX2 + bench_x = common.Fp{17026702066521327207, 5108203422050077993, 10225396685796065916, 11153620995215874678, 6531160855165088358, 15302925148404145445, 1248821577836769963, 9789766903037985294, 7493111552032041328, 10838999828319306046, 18103257655515297935, 27403304611634} + bench_y = common.Fp{4227467157325093378, 10699492810770426363, 13500940151395637365, 12966403950118934952, 16517692605450415877, 13647111148905630666, 14223628886152717087, 7167843152346903316, 15855377759596736571, 4300673881383687338, 6635288001920617779, 30486099554235} + bench_z = common.FpX2{1595347748594595712, 10854920567160033970, 16877102267020034574, 12435724995376660096, 3757940912203224231, 8251999420280413600, 3648859773438820227, 17622716832674727914, 11029567000887241528, 11216190007549447055, 17606662790980286987, 4720707159513626555, 12887743598335030915, 14954645239176589309, 14178817688915225254, 1191346797768989683, 12629157932334713723, 6348851952904485603, 16444232588597434895, 7809979927681678066, 14642637672942531613, 3092657597757640067, 10160361564485285723, 240071237} +) + +func TestFpCswap(t *testing.T) { + var one = common.Fp{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1} + var two = common.Fp{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2} + + var x = one + var y = two + + cswapP503(&x, &y, 0) + for i := 0; i < FpWords; i++ { + if (x[i] != one[i]) || (y[i] != two[i]) { + t.Error("Found", x, "expected", two) + } + } + + cswapP503(&x, &y, 1) + for i := 0; i < FpWords; i++ { + if (x[i] != two[i]) || (y[i] != one[i]) { + t.Error("Found", x, "expected", two) + } + } +} + +// Benchmarking for field arithmetic +func BenchmarkMul(b *testing.B) { + for n := 0; n < b.N; n++ { + mulP503(&benchmarkFpX2, &bench_x, &bench_y) + } +} + +func BenchmarkRdc(b *testing.B) { + z := bench_z + + // This benchmark actually computes garbage, because + // rdcP503 mangles its input, but since it's + // constant-time that shouldn't matter for the benchmarks. + for n := 0; n < b.N; n++ { + rdcP503(&benchmarkFp, &z) + } +} + +func BenchmarkAdd(b *testing.B) { + for n := 0; n < b.N; n++ { + addP503(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkSub(b *testing.B) { + for n := 0; n < b.N; n++ { + subP503(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkCswap(b *testing.B) { + x, y := bench_x, bench_y + for n := 0; n < b.N; n++ { + cswapP503(&x, &y, 1) + cswapP503(&x, &y, 0) + } +} + +func BenchmarkMod(b *testing.B) { + x := bench_x + for n := 0; n < b.N; n++ { + modP503(&x) + } +} + +func BenchmarkX2AddLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + adlP503(&x, &y, &z) + } +} + +func BenchmarkX2SubLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + sulP503(&x, &y, &z) + } +} diff --git a/src/circl/dh/sidh/internal/p503/core.go b/src/circl/dh/sidh/internal/p503/core.go new file mode 100644 index 00000000000..d4e6f679e44 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/core.go @@ -0,0 +1,282 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p503 + +import ( + . "circl/dh/sidh/internal/common" +) + +// ----------------------------------------------------------------------------- +// Functions for traversing isogeny trees acoording to strategy. Key type 'A' is +// + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyA(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR needed +// for public key generation. +func traverseTreeSharedKeyA(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyB(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreeSharedKeyB(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenA(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPA, xQA, xRA ProjectivePoint + var xPB, xQB, xRB, xR ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny4 + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPA, &xQA, &xRA, params.A.SecretBitLen, prvBytes) + traverseTreePublicKeyA(¶ms.InitCurve, &xR, &xPB, &xQB, &xRB) + + // Secret isogeny + phi.GenerateCurve(&xR) + xPA = phi.EvaluatePoint(&xPB) + xQA = phi.EvaluatePoint(&xQB) + xRA = phi.EvaluatePoint(&xRB) + Fp2Batch3Inv(&xPA.Z, &xQA.Z, &xRA.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPA.X, &invZP) + mul(&pub3Pt[1], &xQA.X, &invZQ) + mul(&pub3Pt[2], &xRA.X, &invZR) +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenB(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPB, xQB, xRB, xR ProjectivePoint + var xPA, xQA, xRA ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny3 + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPB, &xQB, &xRB, params.B.SecretBitLen, prvBytes) + traverseTreePublicKeyB(¶ms.InitCurve, &xR, &xPA, &xQA, &xRA) + + phi.GenerateCurve(&xR) + xPB = phi.EvaluatePoint(&xPA) + xQB = phi.EvaluatePoint(&xQA) + xRB = phi.EvaluatePoint(&xRA) + Fp2Batch3Inv(&xPB.Z, &xQB.Z, &xRB.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPB.X, &invZP) + mul(&pub3Pt[1], &xQB.X, &invZQ) + mul(&pub3Pt[2], &xRB.X, &invZR) +} + +// ----------------------------------------------------------------------------- +// Key agreement functions +// + +// Establishing shared keys in in 2-torsion group +func DeriveSecretA(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny4 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.A.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyA(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients4(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} + +// Establishing shared keys in in 3-torsion group +func DeriveSecretB(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny3 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.B.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyB(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients3(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} diff --git a/src/circl/dh/sidh/internal/p503/curve.go b/src/circl/dh/sidh/internal/p503/curve.go new file mode 100644 index 00000000000..c250e6f0c0b --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/curve.go @@ -0,0 +1,362 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p503 + +import ( + . "circl/dh/sidh/internal/common" +) + +// Stores isogeny 3 curve constants +type isogeny3 struct { + K1 Fp2 + K2 Fp2 +} + +// Stores isogeny 4 curve constants +type isogeny4 struct { + isogeny3 + K3 Fp2 +} + +// Computes j-invariant for a curve y2=x3+A/Cx+x with A,C in F_(p^2). Result +// is returned in jBytes buffer, encoded in little-endian format. Caller +// provided jBytes buffer has to be big enough to j-invariant value. In case +// of SIDH, buffer size must be at least size of shared secret. +// Implementation corresponds to Algorithm 9 from SIKE. +func Jinvariant(cparams *ProjectiveCurveParameters, j *Fp2) { + var t0, t1 Fp2 + + sqr(j, &cparams.A) // j = A^2 + sqr(&t1, &cparams.C) // t1 = C^2 + add(&t0, &t1, &t1) // t0 = t1 + t1 + sub(&t0, j, &t0) // t0 = j - t0 + sub(&t0, &t0, &t1) // t0 = t0 - t1 + sub(j, &t0, &t1) // t0 = t0 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(j, j, &t1) // j = j * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&t1, &t0) // t1 = t0^2 + mul(&t0, &t0, &t1) // t0 = t0 * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + inv(j, j) // j = 1/j + mul(j, &t0, j) // j = t0 * j +} + +// Given affine points x(P), x(Q) and x(Q-P) in a extension field F_{p^2}, function +// recorvers projective coordinate A of a curve. This is Algorithm 10 from SIKE. +func RecoverCoordinateA(curve *ProjectiveCurveParameters, xp, xq, xr *Fp2) { + var t0, t1 Fp2 + + add(&t1, xp, xq) // t1 = Xp + Xq + mul(&t0, xp, xq) // t0 = Xp * Xq + mul(&curve.A, xr, &t1) // A = X(q-p) * t1 + add(&curve.A, &curve.A, &t0) // A = A + t0 + mul(&t0, &t0, xr) // t0 = t0 * X(q-p) + sub(&curve.A, &curve.A, ¶ms.OneFp2) // A = A - 1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t1, &t1, xr) // t1 = t1 + X(q-p) + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&curve.A, &curve.A) // A = A^2 + inv(&t0, &t0) // t0 = 1/t0 + mul(&curve.A, &curve.A, &t0) // A = A * t0 + sub(&curve.A, &curve.A, &t1) // A = A - t1 +} + +// Computes equivalence (A:C) ~ (A+2C : A-2C) +func CalcCurveParamsEquiv3(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coef CurveCoefficientsEquiv + var c2 Fp2 + + add(&c2, &cparams.C, &cparams.C) + // A24p = A+2*C + add(&coef.A, &cparams.A, &c2) + // A24m = A-2*C + sub(&coef.C, &cparams.A, &c2) + return coef +} + +// Computes equivalence (A:C) ~ (A+2C : 4C) +func CalcCurveParamsEquiv4(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + + add(&coefEq.C, &cparams.C, &cparams.C) + // A24p = A+2C + add(&coefEq.A, &cparams.A, &coefEq.C) + // C24 = 4*C + add(&coefEq.C, &coefEq.C, &coefEq.C) + return coefEq +} + +// Helper function for RightToLeftLadder(). Returns A+2C / 4. +func CalcAplus2Over4(cparams *ProjectiveCurveParameters) (ret Fp2) { + var tmp Fp2 + + // 2C + add(&tmp, &cparams.C, &cparams.C) + // A+2C + add(&ret, &cparams.A, &tmp) + // 1/4C + add(&tmp, &tmp, &tmp) + inv(&tmp, &tmp) + // A+2C/4C + mul(&ret, &ret, &tmp) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:A-2C). +func RecoverCurveCoefficients3(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + add(&cparams.A, &coefEq.A, &coefEq.C) + // cparams.A = 2*(A+2C+A-2C) = 4A + add(&cparams.A, &cparams.A, &cparams.A) + // cparams.C = (A+2C-A+2C) = 4C + sub(&cparams.C, &coefEq.A, &coefEq.C) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:4C). +func RecoverCurveCoefficients4(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + // cparams.C = (4C)*1/2=2C + mul(&cparams.C, &coefEq.C, ¶ms.HalfFp2) + // cparams.A = A+2C - 2C = A + sub(&cparams.A, &coefEq.A, &cparams.C) + // cparams.C = 2C * 1/2 = C + mul(&cparams.C, &cparams.C, ¶ms.HalfFp2) +} + +// Combined coordinate doubling and differential addition. Takes projective points +// P,Q,Q-P and (A+2C)/4C curve E coefficient. Returns 2*P and P+Q calculated on E. +// Function is used only by RightToLeftLadder. Corresponds to Algorithm 5 of SIKE +func xDbladd(P, Q, QmP *ProjectivePoint, a24 *Fp2) (dblP, PaQ ProjectivePoint) { + var t0, t1, t2 Fp2 + + xQmP, zQmP := &QmP.X, &QmP.Z + xPaQ, zPaQ := &PaQ.X, &PaQ.Z + x2P, z2P := &dblP.X, &dblP.Z + xP, zP := &P.X, &P.Z + xQ, zQ := &Q.X, &Q.Z + + add(&t0, xP, zP) // t0 = Xp+Zp + sub(&t1, xP, zP) // t1 = Xp-Zp + sqr(x2P, &t0) // 2P.X = t0^2 + sub(&t2, xQ, zQ) // t2 = Xq-Zq + add(xPaQ, xQ, zQ) // Xp+q = Xq+Zq + mul(&t0, &t0, &t2) // t0 = t0 * t2 + mul(z2P, &t1, &t1) // 2P.Z = t1 * t1 + mul(&t1, &t1, xPaQ) // t1 = t1 * Xp+q + sub(&t2, x2P, z2P) // t2 = 2P.X - 2P.Z + mul(x2P, x2P, z2P) // 2P.X = 2P.X * 2P.Z + mul(xPaQ, a24, &t2) // Xp+q = A24 * t2 + sub(zPaQ, &t0, &t1) // Zp+q = t0 - t1 + add(z2P, xPaQ, z2P) // 2P.Z = Xp+q + 2P.Z + add(xPaQ, &t0, &t1) // Xp+q = t0 + t1 + mul(z2P, z2P, &t2) // 2P.Z = 2P.Z * t2 + sqr(zPaQ, zPaQ) // Zp+q = Zp+q ^ 2 + sqr(xPaQ, xPaQ) // Xp+q = Xp+q ^ 2 + mul(zPaQ, xQmP, zPaQ) // Zp+q = Xq-p * Zp+q + mul(xPaQ, zQmP, xPaQ) // Xp+q = Zq-p * Xp+q + return +} + +// Given the curve parameters, xP = x(P), computes xP = x([2^k]P) +// Safe to overlap xP, x2P. +func Pow2k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t0, &t0) // t0 = t0 ^ 2 + sqr(&t1, &t1) // t1 = t1 ^ 2 + mul(z, ¶ms.C, &t0) // Z2p = C24 * t0 + mul(x, z, &t1) // X2p = Z2p * t1 + sub(&t1, &t1, &t0) // t1 = t1 - t0 + mul(&t0, ¶ms.A, &t1) // t0 = A24+ * t1 + add(z, z, &t0) // Z2p = Z2p + t0 + mul(z, z, &t1) // Zp = Z2p * t1 + } +} + +// Given the curve parameters, xP = x(P), and k >= 0, compute xP = x([3^k]P). +// +// Safe to overlap xP, xR. +func Pow3k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1, t2, t3, t4, t5, t6 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + sqr(&t2, &t0) // t2 = t0^2 + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t3, &t1) // t3 = t1^2 + add(&t4, &t1, &t0) // t4 = t1 + t0 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t1, &t4) // t1 = t4^2 + sub(&t1, &t1, &t3) // t1 = t1 - t3 + sub(&t1, &t1, &t2) // t1 = t1 - t2 + mul(&t5, &t3, ¶ms.A) // t5 = t3 * A24+ + mul(&t3, &t3, &t5) // t3 = t5 * t3 + mul(&t6, &t2, ¶ms.C) // t6 = t2 * A24- + mul(&t2, &t2, &t6) // t2 = t2 * t6 + sub(&t3, &t2, &t3) // t3 = t2 - t3 + sub(&t2, &t5, &t6) // t2 = t5 - t6 + mul(&t1, &t2, &t1) // t1 = t2 * t1 + add(&t2, &t3, &t1) // t2 = t3 + t1 + sqr(&t2, &t2) // t2 = t2^2 + mul(x, &t2, &t4) // X3p = t2 * t4 + sub(&t1, &t3, &t1) // t1 = t3 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(z, &t1, &t0) // Z3p = t1 * t0 + } +} + +// Set (y1, y2, y3) = (1/x1, 1/x2, 1/x3). +// +// All xi, yi must be distinct. +func Fp2Batch3Inv(x1, x2, x3, y1, y2, y3 *Fp2) { + var x1x2, t Fp2 + + mul(&x1x2, x1, x2) // x1*x2 + mul(&t, &x1x2, x3) // 1/(x1*x2*x3) + inv(&t, &t) + mul(y1, &t, x2) // 1/x1 + mul(y1, y1, x3) + mul(y2, &t, x1) // 1/x2 + mul(y2, y2, x3) + mul(y3, &t, &x1x2) // 1/x3 +} + +// Scalarmul3Pt is a right-to-left point multiplication that given the +// x-coordinate of P, Q and P-Q calculates the x-coordinate of R=Q+[scalar]P. +// nbits must be smaller or equal to len(scalar). +func ScalarMul3Pt(cparams *ProjectiveCurveParameters, P, Q, PmQ *ProjectivePoint, nbits uint, scalar []uint8) ProjectivePoint { + var R0, R2, R1 ProjectivePoint + aPlus2Over4 := CalcAplus2Over4(cparams) + R1 = *P + R2 = *PmQ + R0 = *Q + + // Iterate over the bits of the scalar, bottom to top + prevBit := uint8(0) + for i := uint(0); i < nbits; i++ { + bit := (scalar[i>>3] >> (i & 7) & 1) + swap := prevBit ^ bit + prevBit = bit + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, swap) + R0, R2 = xDbladd(&R0, &R2, &R1, &aPlus2Over4) + } + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, prevBit) + return R1 +} + +// Given a three-torsion point p = x(PB) on the curve E_(A:C), construct the +// three-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_3: ZP_3), where P_3 has exact order 3 on E_A/C +// Output: * Curve coordinates (A' + 2C', A' - 2C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny3) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var t0, t1, t2, t3, t4 Fp2 + var coefEq CurveCoefficientsEquiv + var K1, K2 = &phi.K1, &phi.K2 + + sub(K1, &p.X, &p.Z) // K1 = XP3 - ZP3 + sqr(&t0, K1) // t0 = K1^2 + add(K2, &p.X, &p.Z) // K2 = XP3 + ZP3 + sqr(&t1, K2) // t1 = K2^2 + add(&t2, &t0, &t1) // t2 = t0 + t1 + add(&t3, K1, K2) // t3 = K1 + K2 + sqr(&t3, &t3) // t3 = t3^2 + sub(&t3, &t3, &t2) // t3 = t3 - t2 + add(&t2, &t1, &t3) // t2 = t1 + t3 + add(&t3, &t3, &t0) // t3 = t3 + t0 + add(&t4, &t3, &t0) // t4 = t3 + t0 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t1, &t4) // t4 = t1 + t4 + mul(&coefEq.C, &t2, &t4) // A24m = t2 * t4 + add(&t4, &t1, &t2) // t4 = t1 + t2 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t0, &t4) // t4 = t0 + t4 + mul(&t4, &t3, &t4) // t4 = t3 * t4 + sub(&t0, &t4, &coefEq.C) // t0 = t4 - A24m + add(&coefEq.A, &coefEq.C, &t0) // A24p = A24m + t0 + return coefEq +} + +// Given a 3-isogeny phi and a point pB = x(PB), compute x(QB), the x-coordinate +// of the image QB = phi(PB) of PB under phi : E_(A:C) -> E_(A':C'). +// +// The output xQ = x(Q) is then a point on the curve E_(A':C'); the curve +// parameters are returned by the GenerateCurve function used to construct phi. +func (phi *isogeny3) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1, t2 Fp2 + var q ProjectivePoint + var K1, K2 = &phi.K1, &phi.K2 + var px, pz = &p.X, &p.Z + + add(&t0, px, pz) // t0 = XQ + ZQ + sub(&t1, px, pz) // t1 = XQ - ZQ + mul(&t0, K1, &t0) // t2 = K1 * t0 + mul(&t1, K2, &t1) // t1 = K2 * t1 + add(&t2, &t0, &t1) // t2 = t0 + t1 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t2, &t2) // t2 = t2 ^ 2 + sqr(&t0, &t0) // t0 = t0 ^ 2 + mul(&q.X, px, &t2) // XQ'= XQ * t2 + mul(&q.Z, pz, &t0) // ZQ'= ZQ * t0 + return q +} + +// Given a four-torsion point p = x(PB) on the curve E_(A:C), construct the +// four-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_4: ZP_4), where P_4 has exact order 4 on E_A/C +// Output: * Curve coordinates (A' + 2C', 4C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny4) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + var xp4, zp4 = &p.X, &p.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + sub(K2, xp4, zp4) + add(K3, xp4, zp4) + sqr(K1, zp4) + add(K1, K1, K1) + sqr(&coefEq.C, K1) + add(K1, K1, K1) + sqr(&coefEq.A, xp4) + add(&coefEq.A, &coefEq.A, &coefEq.A) + sqr(&coefEq.A, &coefEq.A) + return coefEq +} + +// Given a 4-isogeny phi and a point xP = x(P), compute x(Q), the x-coordinate +// of the image Q = phi(P) of P under phi : E_(A:C) -> E_(A':C'). +// +// Input: Isogeny returned by GenerateCurve and point q=(Qx,Qz) from E0_A/C +// Output: Corresponding point q from E1_A'/C', where E1 is 4-isogenous to E0 +func (phi *isogeny4) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1 Fp2 + var q = *p + var xq, zq = &q.X, &q.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + add(&t0, xq, zq) + sub(&t1, xq, zq) + mul(xq, &t0, K2) + mul(zq, &t1, K3) + mul(&t0, &t0, &t1) + mul(&t0, &t0, K1) + add(&t1, xq, zq) + sub(zq, xq, zq) + sqr(&t1, &t1) + sqr(zq, zq) + add(xq, &t0, &t1) + sub(&t0, zq, &t0) + mul(xq, xq, &t1) + mul(zq, zq, &t0) + return q +} diff --git a/src/circl/dh/sidh/internal/p503/curve_test.go b/src/circl/dh/sidh/internal/p503/curve_test.go new file mode 100644 index 00000000000..9ed669e8a4f --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/curve_test.go @@ -0,0 +1,100 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p503 + +import ( + "bytes" + "testing" + + . "circl/dh/sidh/internal/common" +) + +func vartimeEqProjFp2(lhs, rhs *ProjectivePoint) bool { + var t0, t1 Fp2 + mul(&t0, &lhs.X, &rhs.Z) + mul(&t1, &lhs.Z, &rhs.X) + return vartimeEqFp2(&t0, &t1) +} + +func toAffine(point *ProjectivePoint) *Fp2 { + var affineX Fp2 + inv(&affineX, &point.Z) + mul(&affineX, &affineX, &point.X) + return &affineX +} + +func Test_jInvariant(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var jbufRes = make([]byte, params.SharedSecretSize) + var jbufExp = make([]byte, params.SharedSecretSize) + var jInv Fp2 + + Jinvariant(&curve, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufRes, &jInv, params.Bytelen) + + jInv = expectedJ + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufExp, &jInv, params.Bytelen) + + if !bytes.Equal(jbufRes[:], jbufExp[:]) { + t.Error("Computed incorrect j-invariant: found\n", jbufRes, "\nexpected\n", jbufExp) + } +} + +func TestProjectivePointVartimeEq(t *testing.T) { + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + xQ := xP + + // Scale xQ, which results in the same projective point + mul(&xQ.X, &xQ.X, &curveA) + mul(&xQ.Z, &xQ.Z, &curveA) + if !vartimeEqProjFp2(&xP, &xQ) { + t.Error("Expected the scaled point to be equal to the original") + } +} + +func TestPointMulVersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv4(&curve) + var xP ProjectivePoint + + // x 2 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 1) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP2) { + t.Error("\nExpected\n", affineXP2, "\nfound\n", afxQ) + } + + // x 4 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 2) + afxQ = toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP4) { + t.Error("\nExpected\n", affineXP4, "\nfound\n", afxQ) + } +} + +func TestPointMul9VersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv3(&curve) + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow3k(&xP, &cparams, 2) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP9) { + t.Error("\nExpected\n", affineXP9, "\nfound\n", afxQ) + } +} + +func BenchmarkThreePointLadder(b *testing.B) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + for n := 0; n < b.N; n++ { + ScalarMul3Pt(&curve, &threePointLadderInputs[0], &threePointLadderInputs[1], &threePointLadderInputs[2], uint(len(scalar3Pt)*8), scalar3Pt[:]) + } +} diff --git a/src/circl/dh/sidh/internal/p503/doc.go b/src/circl/dh/sidh/internal/p503/doc.go new file mode 100644 index 00000000000..3541a440183 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/doc.go @@ -0,0 +1,2 @@ +// Package p503 provides implementation of field arithmetic used in SIDH and SIKE. +package p503 diff --git a/src/circl/dh/sidh/internal/p503/fp2.go b/src/circl/dh/sidh/internal/p503/fp2.go new file mode 100644 index 00000000000..69dca22f530 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/fp2.go @@ -0,0 +1,195 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p503 + +import ( + "circl/dh/sidh/internal/common" +) + +// Montgomery multiplication. Input values must be already +// in Montgomery domain. +func mulP(dest, lhs, rhs *common.Fp) { + var ab common.FpX2 + mulP503(&ab, lhs, rhs) // = a*b*R*R + rdcP503(dest, &ab) // = a*b*R mod p +} + +// Set dest = x^((p-3)/4). If x is square, this is 1/sqrt(x). +// Uses variation of sliding-window algorithm from with window size +// of 5 and least to most significant bit sliding (left-to-right) +// See HAC 14.85 for general description. +// +// Allowed to overlap x with dest. +// All values in Montgomery domains +// Set dest = x^(2^k), for k >= 1, by repeated squarings. +func p34(dest, x *common.Fp) { + var lookup [16]common.Fp + + // This performs sum(powStrategy) + 1 squarings and len(lookup) + len(mulStrategy) + // multiplications. + powStrategy := []uint8{12, 5, 5, 2, 7, 11, 3, 8, 4, 11, 4, 7, 5, 6, 3, 7, 5, 7, 2, 12, 5, 6, 4, 6, 8, 6, 4, 7, 5, 5, 8, 5, 8, 5, 5, 8, 9, 3, 6, 2, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3} + mulStrategy := []uint8{12, 11, 10, 0, 1, 8, 3, 7, 1, 8, 3, 6, 7, 14, 2, 14, 14, 9, 0, 13, 9, 15, 5, 12, 7, 13, 7, 15, 6, 7, 9, 0, 5, 7, 6, 8, 8, 3, 7, 0, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 3} + initialMul := uint8(0) + + // Precompute lookup table of odd multiples of x for window + // size k=5. + var xx common.Fp + mulP(&xx, x, x) + lookup[0] = *x + for i := 1; i < 16; i++ { + mulP(&lookup[i], &lookup[i-1], &xx) + } + + // Now lookup = {x, x^3, x^5, ... } + // so that lookup[i] = x^{2*i + 1} + // so that lookup[k/2] = x^k, for odd k + *dest = lookup[initialMul] + for i := uint8(0); i < uint8(len(powStrategy)); i++ { + mulP(dest, dest, dest) + for j := uint8(1); j < powStrategy[i]; j++ { + mulP(dest, dest, dest) + } + mulP(dest, dest, &lookup[mulStrategy[i]]) + } +} + +func add(dest, lhs, rhs *common.Fp2) { + addP503(&dest.A, &lhs.A, &rhs.A) + addP503(&dest.B, &lhs.B, &rhs.B) +} + +func sub(dest, lhs, rhs *common.Fp2) { + subP503(&dest.A, &lhs.A, &rhs.A) + subP503(&dest.B, &lhs.B, &rhs.B) +} + +func mul(dest, lhs, rhs *common.Fp2) { + var bMinA, cMinD common.Fp + var ac, bd common.FpX2 + var adPlusBc common.FpX2 + var acMinBd common.FpX2 + + // Let (a,b,c,d) = (lhs.a,lhs.b,rhs.a,rhs.b). + // + // (a + bi)*(c + di) = (a*c - b*d) + (a*d + b*c)i + // + // Use Karatsuba's trick: note that + // + // (b - a)*(c - d) = (b*c + a*d) - a*c - b*d + // + // so (a*d + b*c) = (b-a)*(c-d) + a*c + b*d. + mulP503(&ac, &lhs.A, &rhs.A) // = a*c*R*R + mulP503(&bd, &lhs.B, &rhs.B) // = b*d*R*R + subP503(&bMinA, &lhs.B, &lhs.A) // = (b-a)*R + subP503(&cMinD, &rhs.A, &rhs.B) // = (c-d)*R + mulP503(&adPlusBc, &bMinA, &cMinD) // = (b-a)*(c-d)*R*R + adlP503(&adPlusBc, &adPlusBc, &ac) // = ((b-a)*(c-d) + a*c)*R*R + adlP503(&adPlusBc, &adPlusBc, &bd) // = ((b-a)*(c-d) + a*c + b*d)*R*R + rdcP503(&dest.B, &adPlusBc) // = (a*d + b*c)*R mod p + sulP503(&acMinBd, &ac, &bd) // = (a*c - b*d)*R*R + rdcP503(&dest.A, &acMinBd) // = (a*c - b*d)*R mod p +} + +// Set dest = 1/x +// +// Allowed to overlap dest with x. +// +// Returns dest to allow chaining operations. +func inv(dest, x *common.Fp2) { + var e1, e2 common.FpX2 + var f1, f2 common.Fp + + // We want to compute + // + // 1 1 (a - bi) (a - bi) + // -------- = -------- -------- = ----------- + // (a + bi) (a + bi) (a - bi) (a^2 + b^2) + // + // Letting c = 1/(a^2 + b^2), this is + // + // 1/(a+bi) = a*c - b*ci. + + mulP503(&e1, &x.A, &x.A) // = a*a*R*R + mulP503(&e2, &x.B, &x.B) // = b*b*R*R + adlP503(&e1, &e1, &e2) // = (a^2 + b^2)*R*R + rdcP503(&f1, &e1) // = (a^2 + b^2)*R mod p + // Now f1 = a^2 + b^2 + + mulP(&f2, &f1, &f1) + p34(&f2, &f2) + mulP(&f2, &f2, &f2) + mulP(&f2, &f2, &f1) + + mulP503(&e1, &x.A, &f2) + rdcP503(&dest.A, &e1) + + subP503(&f1, &common.Fp{}, &x.B) + mulP503(&e1, &f1, &f2) + rdcP503(&dest.B, &e1) +} + +func sqr(dest, x *common.Fp2) { + var a2, aPlusB, aMinusB common.Fp + var a2MinB2, ab2 common.FpX2 + + a := &x.A + b := &x.B + + // (a + bi)*(a + bi) = (a^2 - b^2) + 2abi. + addP503(&a2, a, a) // = a*R + a*R = 2*a*R + addP503(&aPlusB, a, b) // = a*R + b*R = (a+b)*R + subP503(&aMinusB, a, b) // = a*R - b*R = (a-b)*R + mulP503(&a2MinB2, &aPlusB, &aMinusB) // = (a+b)*(a-b)*R*R = (a^2 - b^2)*R*R + mulP503(&ab2, &a2, b) // = 2*a*b*R*R + rdcP503(&dest.A, &a2MinB2) // = (a^2 - b^2)*R mod p + rdcP503(&dest.B, &ab2) // = 2*a*b*R mod p +} + +// In case choice == 1, performs following swap in constant time: +// xPx <-> xQx +// xPz <-> xQz +// Otherwise returns xPx, xPz, xQx, xQz unchanged +func cswap(xPx, xPz, xQx, xQz *common.Fp2, choice uint8) { + cswapP503(&xPx.A, &xQx.A, choice) + cswapP503(&xPx.B, &xQx.B, choice) + cswapP503(&xPz.A, &xQz.A, choice) + cswapP503(&xPz.B, &xQz.B, choice) +} + +// Converts in.A and in.B to Montgomery domain and stores +// in 'out' +// out.A = in.A * R mod p +// out.B = in.B * R mod p +// Performs v = v*R^2*R^(-1) mod p, for both in.A and in.B +func ToMontgomery(out, in *common.Fp2) { + var aRR common.FpX2 + + // a*R*R + mulP503(&aRR, &in.A, &P503R2) + // a*R mod p + rdcP503(&out.A, &aRR) + mulP503(&aRR, &in.B, &P503R2) + rdcP503(&out.B, &aRR) +} + +// Converts in.A and in.B from Montgomery domain and stores +// in 'out' +// out.A = in.A mod p +// out.B = in.B mod p +// +// After returning from the call 'in' is not modified. +func FromMontgomery(out, in *common.Fp2) { + var aR common.FpX2 + + // convert from montgomery domain + copy(aR[:], in.A[:]) + rdcP503(&out.A, &aR) // = a mod p in [0, 2p) + modP503(&out.A) // = a mod p in [0, p) + for i := range aR { + aR[i] = 0 + } + copy(aR[:], in.B[:]) + rdcP503(&out.B, &aR) + modP503(&out.B) +} diff --git a/src/circl/dh/sidh/internal/p503/fp2_test.go b/src/circl/dh/sidh/internal/p503/fp2_test.go new file mode 100644 index 00000000000..2f058ec6b7a --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/fp2_test.go @@ -0,0 +1,245 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p503 + +import ( + "math/rand" + "reflect" + "testing" + "testing/quick" + + "circl/dh/sidh/internal/common" +) + +type testParams struct { + Point common.ProjectivePoint + Cparam common.ProjectiveCurveParameters + ExtElem common.Fp2 +} + +// Returns true if lhs = rhs. Takes variable time. +func vartimeEqFp2(lhs, rhs *common.Fp2) bool { + a := *lhs + b := *rhs + + modP503(&a.A) + modP503(&a.B) + modP503(&b.A) + modP503(&b.B) + + eq := true + for i := 0; i < FpWords && eq; i++ { + eq = eq && (a.A[i] == b.A[i]) + eq = eq && (a.B[i] == b.B[i]) + } + return eq +} + +func (testParams) generateFp2(rand *rand.Rand) common.Fp2 { + // Generation strategy: low limbs taken from [0,2^64); high limb + // taken from smaller range + // + // Size hint is ignored since all elements are fixed size. + // + // Field elements taken in range [0,2p). Emulate this by capping + // the high limb by the top digit of 2*p-1: + // + // sage: (2*p-1).digits(2^64)[-1] + // + // This still allows generating values >= 2p, but hopefully that + // excess is OK (and if it's not, we'll find out, because it's for + // testing...) + highLimb := rand.Uint64() % P503x2[FpWords-1] + fpElementGen := func() (fp common.Fp) { + for i := 0; i < (FpWords - 1); i++ { + fp[i] = rand.Uint64() + } + fp[FpWords-1] = highLimb + return fp + } + return common.Fp2{A: fpElementGen(), B: fpElementGen()} +} + +func (c testParams) Generate(rand *rand.Rand, size int) reflect.Value { + return reflect.ValueOf( + testParams{ + common.ProjectivePoint{ + X: c.generateFp2(rand), + Z: c.generateFp2(rand), + }, + common.ProjectiveCurveParameters{ + A: c.generateFp2(rand), + C: c.generateFp2(rand), + }, + c.generateFp2(rand), + }) +} + +func TestOne(t *testing.T) { + var tmp common.Fp2 + + mul(&tmp, ¶ms.OneFp2, ¶ms.A.AffineP) + if !vartimeEqFp2(&tmp, ¶ms.A.AffineP) { + t.Error("Not equal 1") + } +} + +func TestFp2ToBytesRoundTrip(t *testing.T) { + roundTrips := func(x testParams) bool { + var xBytes = make([]byte, 2*params.Bytelen) + var xPrime common.Fp2 + + common.Fp2ToBytes(xBytes[:], &x.ExtElem, params.Bytelen) + common.BytesToFp2(&xPrime, xBytes[:], params.Bytelen) + return vartimeEqFp2(&xPrime, &x.ExtElem) + } + + if err := quick.Check(roundTrips, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulDistributesOverAdd(t *testing.T) { + mulDistributesOverAdd := func(x, y, z testParams) bool { + // Compute t1 = (x+y)*z + t1 := new(common.Fp2) + add(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = x*z + y*z + t2 := new(common.Fp2) + t3 := new(common.Fp2) + mul(t2, &x.ExtElem, &z.ExtElem) + mul(t3, &y.ExtElem, &z.ExtElem) + add(t2, t2, t3) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(mulDistributesOverAdd, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulIsAssociative(t *testing.T) { + isAssociative := func(x, y, z testParams) bool { + // Compute t1 = (x*y)*z + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = (y*z)*x + t2 := new(common.Fp2) + mul(t2, &y.ExtElem, &z.ExtElem) + mul(t2, t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(isAssociative, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2SquareMatchesMul(t *testing.T) { + sqrMatchesMul := func(x testParams) bool { + // Compute t1 = (x*x) + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &x.ExtElem) + + // Compute t2 = x^2 + t2 := new(common.Fp2) + sqr(t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(sqrMatchesMul, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Inv(t *testing.T) { + inverseIsCorrect := func(x testParams) bool { + z := new(common.Fp2) + inv(z, &x.ExtElem) + + // Now z = (1/x), so (z * x) * x == x + mul(z, z, &x.ExtElem) + mul(z, z, &x.ExtElem) + + return vartimeEqFp2(z, &x.ExtElem) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 11)} + if err := quick.Check(inverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Batch3Inv(t *testing.T) { + batchInverseIsCorrect := func(x1, x2, x3 testParams) bool { + var x1Inv, x2Inv, x3Inv common.Fp2 + inv(&x1Inv, &x1.ExtElem) + inv(&x2Inv, &x2.ExtElem) + inv(&x3Inv, &x3.ExtElem) + + var y1, y2, y3 common.Fp2 + Fp2Batch3Inv(&x1.ExtElem, &x2.ExtElem, &x3.ExtElem, &y1, &y2, &y3) + + return (vartimeEqFp2(&x1Inv, &y1) && vartimeEqFp2(&x2Inv, &y2) && vartimeEqFp2(&x3Inv, &y3)) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 8)} + if err := quick.Check(batchInverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func BenchmarkFp2Mul(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + mul(w, z, z) + } +} + +func BenchmarkFp2Inv(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + inv(w, z) + } +} + +func BenchmarkFp2Square(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sqr(w, z) + } +} + +func BenchmarkFp2Add(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + add(w, z, z) + } +} + +func BenchmarkFp2Sub(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sub(w, z, z) + } +} diff --git a/src/circl/dh/sidh/internal/p503/params.go b/src/circl/dh/sidh/internal/p503/params.go new file mode 100644 index 00000000000..4e95ab6032d --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/params.go @@ -0,0 +1,203 @@ +package p503 + +//go:generate go run ../templates/gen.go P503 + +import ( + "circl/dh/sidh/internal/common" + "internal/cpu" +) + +const ( + // Number of uint64 limbs used to store field element + FpWords = 8 +) + +// P503 is a prime used by field Fp503 +var ( + // According to https://github.com/golang/go/issues/28230, + // variables referred from the assembly must be in the same package. + // HasBMI2 signals support for MULX which is in BMI2 + HasBMI2 = cpu.X86.HasBMI2 + // HasADXandBMI2 signals support for ADX and BMI2 + HasADXandBMI2 = cpu.X86.HasBMI2 && cpu.X86.HasADX + + // P503 is a prime used by field Fp503 + P503 = common.Fp{ + 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xABFFFFFFFFFFFFFF, + 0x13085BDA2211E7A0, 0x1B9BF6C87B7E7DAF, 0x6045C6BDDA77A4D0, 0x004066F541811E1E, + } + + // P503x2 = 2*p503 - 1 + P503x2 = common.Fp{ + 0xFFFFFFFFFFFFFFFE, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0x57FFFFFFFFFFFFFF, + 0x2610B7B44423CF41, 0x3737ED90F6FCFB5E, 0xC08B8D7BB4EF49A0, 0x0080CDEA83023C3C, + } + + // P503p1 = p503 + 1 + P503p1 = common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0xAC00000000000000, + 0x13085BDA2211E7A0, 0x1B9BF6C87B7E7DAF, 0x6045C6BDDA77A4D0, 0x004066F541811E1E, + } + + // P503R2 = (2^512)^2 mod p + P503R2 = common.Fp{ + 0x5289A0CF641D011F, 0x9B88257189FED2B9, 0xA3B365D58DC8F17A, 0x5BC57AB6EFF168EC, + 0x9E51998BD84D4423, 0xBF8999CBAC3B5695, 0x46E9127BCE14CDB6, 0x003F6CFCE8B81771, + } + + // P503p1s8 = p503 + 1 left-shifted by 8, assuming little endianness + P503p1s8 = common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x085BDA2211E7A0AC, 0x9BF6C87B7E7DAF13, 0x45C6BDDA77A4D01B, 0x4066F541811E1E60, + } + + // P503p1Zeros number of 0 digits in the least significant part of P503+1 + P503p1Zeros = 3 + + // 1*R mod p + one = common.Fp2{ + A: common.Fp{ + 0x00000000000003F9, 0x0000000000000000, 0x0000000000000000, 0xB400000000000000, + 0x63CB1A6EA6DED2B4, 0x51689D8D667EB37D, 0x8ACD77C71AB24142, 0x0026FBAEC60F5953}, + } + // 1/2 * R mod p + half = common.Fp2{ + A: common.Fp{ + 0x00000000000001FC, 0x0000000000000000, 0x0000000000000000, 0xB000000000000000, + 0x3B69BB2464785D2A, 0x36824A2AF0FE9896, 0xF5899F427A94F309, 0x0033B15203C83BB8}, + } + // 6*R mod p + six = common.Fp2{ + A: common.Fp{ + 0x00000000000017D8, 0x0000000000000000, 0x0000000000000000, 0xE000000000000000, + 0x30B1E6E3A51520FA, 0xB13BC3BF6FFB3992, 0x8045412EEB3E3DED, 0x0069182E2159DBB8}, + } + + params = common.SidhParams{ + ID: common.Fp503, + // SIDH public key byte size. + PublicKeySize: 378, + // SIDH shared secret byte size. + SharedSecretSize: 126, + A: common.DomainParams{ + // The x-coordinate of PA + AffineP: common.Fp2{ + A: common.Fp{ + 0x5D083011589AD893, 0xADFD8D2CB67D0637, 0x330C9AC34FFB6361, 0xF0D47489A2E805A2, + 0x27E2789259C6B8DC, 0x63866A2C121931B9, 0x8D4C65A7137DCF44, 0x003A183AE5967B3F, + }, + B: common.Fp{ + 0x7E3541B8C96D1519, 0xD3ADAEEC0D61A26C, 0xC0A2219CE7703DD9, 0xFF3E46658FCDBC52, + 0xD5B38DEAE6E196FF, 0x1AAC826364956D58, 0xEC9F4875B9A5F27A, 0x001B0B475AB99843, + }, + }, + // The x-coordinate of QA + AffineQ: common.Fp2{ + A: common.Fp{ + 0x4D83695107D03BAD, 0x221F3299005E2FCF, 0x78E6AE22F30DECF2, 0x6D982DB5111253E4, + 0x504C80A8AB4526A8, 0xEFD0C3AA210BB024, 0xCB77483501DC6FCF, 0x001052544A96BDF3, + }, + B: common.Fp{ + 0x0D74FE3402BCAE47, 0xDF5B8CDA832D8AED, 0xB86BCF06E4BD837E, 0x892A2933A0FA1F63, + 0x9F88FC67B6CCB461, 0x822926EA9DDA3AC8, 0xEAC8DDE5855425ED, 0x000618FE6DA37A80, + }, + }, + + // The x-coordinate of RA = PA-QA + AffineR: common.Fp2{ + A: common.Fp{ + 0x1D9D32D2DC877C17, 0x5517CD8F71D5B02B, 0x395AFB8F6B60C117, 0x3AE31AC85F9098C8, + 0x5F5341C198450848, 0xF8C609DBEA435C6A, 0xD832BC7EDC7BA5E4, 0x002AD98AA6968BF5, + }, + B: common.Fp{ + 0xC466CAB0F73C2E5B, 0x7B1817148FB2CF9C, 0x873E87C099E470A0, 0xBB17AC6D17A7BAC1, + 0xA146FDCD0F2E2A58, 0x88B311E9CEAB6201, 0x37604CF5C7951757, 0x0006804071C74BF9, + }, + }, + // Max size of secret key for 2-torsion group, corresponds to 2^e2 - 1 + SecretBitLen: 250, + // SecretBitLen in bytes. + SecretByteLen: 32, + // 2-torsion group computation strategy + IsogenyStrategy: []uint32{ + 0x3D, 0x20, 0x10, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x10, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, + 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x1D, 0x10, 0x08, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x08, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x0D, 0x08, + 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x05, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01}, + }, + B: common.DomainParams{ + // The x-coordinate of PB + AffineP: common.Fp2{ + A: common.Fp{ + 0xDF630FC5FB2468DB, 0xC30C5541C102040E, 0x3CDC9987B76511FC, 0xF54B5A09353D0CDD, + 0x3ADBA8E00703C42F, 0x8253F9303DDC95D0, 0x62D30778763ABFD7, 0x001CD00FB581CD55, + }, + B: common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + }, + }, + // The x-coordinate of QB + AffineQ: common.Fp2{ + A: common.Fp{ + 0x2E3457A12B429261, 0x311F94E89627DCF8, 0x5B71C98FD1DB73F6, 0x3671DB7DCFC21541, + 0xB6D1484C9FE0CF4F, 0x19CD110717356E35, 0xF4F9FB00AC9919DF, 0x0035BC124D38A70B, + }, + B: common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + }, + }, + // The x-coordinate of RB = PB - QB + AffineR: common.Fp2{ + A: common.Fp{ + 0x2E08BB99413D2952, 0xD3021467CD088D72, 0x21017AF859752245, 0x26314ED8FFD9DE5C, + 0x4AF43C73344B6686, 0xCFA1F91149DF0993, 0xF327A95365587A89, 0x000DBF54E03D3906, + }, + B: common.Fp{ + 0x03E03FF342F5F304, 0x993D604D7B4B6E56, 0x80412F4D9280E71F, 0x0FFDC9EF990B3982, + 0xE584E64C51604931, 0x1374F42AC8B0BBD7, 0x07D5BC37DFA41A5F, 0x00396CCFD61FD34C, + }, + }, + // Size of secret key for 3-torsion group, corresponds to log_2(3^e3) - 1. + SecretBitLen: 252, + // SecretBitLen in bytes. + SecretByteLen: 32, + // 3-torsion group computation strategy + IsogenyStrategy: []uint32{ + 0x47, 0x26, 0x15, 0x0D, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x05, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x01, 0x09, 0x05, 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x01, 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x11, 0x09, 0x05, 0x03, 0x02, + 0x01, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x21, 0x11, 0x09, 0x05, 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x08, 0x04, + 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x10, 0x08, 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01}, + }, + OneFp2: one, + HalfFp2: half, + MsgLen: 24, + // SIKEp503 provides 192 bit of classical security ([SIKE], 5.1) + KemSize: 24, + // ceil(503+7/8) + Bytelen: 63, + CiphertextSize: 24 + 378, + InitCurve: common.ProjectiveCurveParameters{ + A: six, + C: one, + }, + } +) + +func init() { + common.Register(common.Fp503, ¶ms) +} diff --git a/src/circl/dh/sidh/internal/p503/params_test.go b/src/circl/dh/sidh/internal/p503/params_test.go new file mode 100644 index 00000000000..5550031d307 --- /dev/null +++ b/src/circl/dh/sidh/internal/p503/params_test.go @@ -0,0 +1,73 @@ +package p503 + +// Contains values used by tests +import ( + "testing/quick" + + . "circl/dh/sidh/internal/common" +) + +// Values computed using Sage +var ( + // j = 3674553797500778604587777859668542828244523188705960771798425843588160903687122861541242595678107095655647237100722594066610650373491179241544334443939077738732728884873568393760629500307797547379838602108296735640313894560419*i + 3127495302417548295242630557836520229396092255080675419212556702820583041296798857582303163183558315662015469648040494128968509467224910895884358424271180055990446576645240058960358037224785786494172548090318531038910933793845 + expectedJ = Fp2{ + A: Fp{0x2c441d03b72e27c, 0xf2c6748151dbf84, 0x3a774f6191070e, 0xa7c6212c9c800ba6, 0x23921b5cf09abc27, 0x9e1baefbb3cd4265, 0x8cd6a289f12e10dc, 0x3fa364128cf87e}, + B: Fp{0xe7497ac2bf6b0596, 0x629ee01ad23bd039, 0x95ee11587a119fa7, 0x572fb28a24772269, 0x3c00410b6c71567e, 0xe681e83a345f8a34, 0x65d21b1d96bd2d52, 0x7889a47e58901}, + } + + // A = 8752234765512331234913716743014562460822083005386252003333602919474238975785850965349950219277942402920758585086620525443539725921333735154674119646075*i + 6339624979889725406021454983012408976766782818694212228554611573314701271183857175866122275755278397694585249002282183018114967373119429936587424396917 + curveA = Fp2{ + A: Fp{0xd9816986a543095f, 0xa78cb1d7217bec21, 0x9595dc97b74ea70, 0x9120a1da6b42797d, 0x59ef9d903f74e47c, 0x4c58a4cdc45b6d0b, 0x816d5213aaf7ee6d, 0x3892fee6bb7343}, + B: Fp{0x28c5288acbedf11b, 0x2143a438c86f6c68, 0x7cb5c4ae9c4c8e34, 0xb478aea445eed48b, 0x24d5c175776db478, 0x234582f8676c0ebe, 0x56234267b625fb08, 0x2c6e58d84b1192}} + + // C = 10458464853790890798085664692909194316288127038910691163573355876336993883402795907795767791362493831987298578966325154262747805705783782806176495638177*i + 7770984753616185271325854825309278833018655051139367603077592443785629339985729818288672809062782315510526648882226172896710704020683893684611137718845 + curveC = Fp2{ + A: Fp{0xe05948236f2f913b, 0xc45da9ad1219a255, 0x7a568972a32fc1d0, 0x30f00bdd7071c3b1, 0x3b761b8dac2c98bc, 0x760f21b2179737b6, 0x13217e6656a13476, 0x2606b798e685aa}, + B: Fp{0x1c0171f78820052e, 0x440b7f7087e57140, 0xe0510c07b31b0e96, 0xd0cf489b2ac4aea9, 0x4fb328f1c1fdf783, 0xb3b4912342951cb7, 0x70a4b64e81961c42, 0x33eed63cf07181}} + // x(P) = 9720237205826983370867050298878715935679372786589878620121159082290288918688002583435964840822877971257659901481591644347943354235932355923042390796255*i + 634577413124118560098123299804750904956499531431297942628887930019161512075536652691244843248133437326050395005054997679717801535474938466995392156605 + affineXP = Fp2{ + A: Fp{0xb606d954d407faf2, 0x58a1ef6cd213a203, 0x9823b55033e62f7b, 0x59cafc060d5e25a1, 0x529685f1753526fc, 0xc2eac3d219989c7d, 0xc5e30c75dfd343a0, 0x378285adc968a0}, + B: Fp{0x6670f36db977b9da, 0xa07e2fdda5e1a7f0, 0xf367a7a722aed87d, 0x6c269e06d595cd10, 0x8379aa6092d87700, 0x57276ce3557ee7ae, 0xac8107bfbcd28993, 0x3d6f98869617a7}} + + affineXP2 = Fp2{ + A: Fp{0x4e1133c2b3855902, 0x875a775c67597fbb, 0xd17eb74254141abb, 0x1d5a464a4f3391f5, 0x24405c332811d007, 0x7e47e3eb489a7372, 0x65b130dfd9efe605, 0xfa69fac179803}, + B: Fp{0x329f5322e1be51ee, 0x9004dca8132ebd6f, 0x7cd87e447ca8a7b6, 0x10a6ec02c38ce69e, 0x8cef2ed7d112ac46, 0x5f385a9fc4b57cd7, 0x68a366354fe7a32e, 0x2223c1455486ac}} + + affineXP4 = Fp2{ + A: Fp{0x4eb695d34b46be8f, 0xfb5e76c58585f2d2, 0xa41f8aafa6dbb531, 0x4db82f5db5cfd144, 0x14dab0e3200cbba0, 0x430381706a279f81, 0xdf6707a57161f81, 0x44740f17197c3}, + B: Fp{0xa2473705cdb6d4e9, 0xfa3cd67b9c15502c, 0xf0928166d0c5cee1, 0x6150aba0c874faaa, 0x6c0b18d6d92f9034, 0xcff71d340fc1e72e, 0x19a47027af917587, 0x25ed4bad443b8f}} + + affineXP9 = Fp2{ + A: Fp{0x112da30e288217e0, 0x5b336d527320a5f7, 0xbbf4d9403b68e3c6, 0x55eccb31c40b359c, 0x8907129ab69b3203, 0x69cc8c750125a915, 0xa41a38e6f530c0e1, 0xbe68e23af1b8d}, + B: Fp{0x472c603765964213, 0xe4e64995b0769754, 0x4515583c74a6dd24, 0xff7c57f5818363a2, 0xbeaeb24662a92177, 0x8a54fa61fbf24c68, 0xa85542049eb45e12, 0x2b54caf655e285}} + + // Inputs for testing 3-point-ladder + threePointLadderInputs = []ProjectivePoint{ + // x(P) + { + X: Fp2{ + A: Fp{0x43941FA9244C059E, 0xD1F337D076941189, 0x6B6A8B3A8763C96A, 0x6DF569708D6C9482, 0x487EE5707A52F4AA, 0xDE396F6E2559689E, 0xE5EE3895A8991469, 0x2B0946695790A8}, + B: Fp{0xAB552C0FDAED092E, 0x7DF895E43E7DCB1C, 0x35C700E761920C4B, 0xCC5807DD70DC117A, 0x0884039A5A8DB18A, 0xD04620B3D0738052, 0xA200835605138F10, 0x3FF2E59B2FDC6A}}, + Z: params.OneFp2, + }, + // x(Q) + { + X: Fp2{ + A: Fp{0x77015826982BA1FD, 0x44024489673471E4, 0x1CAA2A5F4D5DA63B, 0xA183C07E50738C01, 0x8B97782D4E1A0DE6, 0x9B819522FBC38280, 0x0BDA46A937FB7B8A, 0x3B3614305914DF}, + B: Fp{0xBF0366E97B3168D9, 0xAA522AC3879CEF0F, 0x0AF5EC975BD035C8, 0x1F26FEE7BBAC165C, 0xA0EE6A637724A6AB, 0xFB52101E36BA3A38, 0xD29CF5E376E17376, 0x1374A50DF57071}}, + Z: params.OneFp2, + }, + // x(P-Q) + { + X: Fp2{ + A: Fp{0xD99279BBD41EA559, 0x35CF18E72F578214, 0x90473B1DC77F73E8, 0xBFFEA930B25D7F66, 0xFD558EA177B900B2, 0x7CFAD273A782A23E, 0x6B1F610822E0F611, 0x26D2D2EF9619B5}, + B: Fp{0x534F83651CBCC75D, 0x591FB4757AED5D08, 0x0B04353D40BED542, 0x829A94703AAC9139, 0x0F9C2E6D7663EB5B, 0x5D2D0F90C283F746, 0x34C872AA12A7676E, 0x0ECDB605FBFA16}}, + Z: params.OneFp2, + }, + } + scalar3Pt = [...]uint8{0x9f, 0x3b, 0xe7, 0xf9, 0xf4, 0x7c, 0xe6, 0xce, 0x79, 0x3e, 0x3d, 0x9f, 0x9f, 0x3b, 0xe7, 0xf9, 0xf4, 0x7c, 0xe6, 0xce, 0x79, 0x3e, 0x3d, 0x9f} +) + +var quickCheckConfig = &quick.Config{ + MaxCount: (1 << 15), +} diff --git a/src/circl/dh/sidh/internal/p751/arith_amd64.s b/src/circl/dh/sidh/internal/p751/arith_amd64.s new file mode 100644 index 00000000000..2d739749e89 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/arith_amd64.s @@ -0,0 +1,2573 @@ +// +build amd64,!noasm + +#include "textflag.h" + +// p751 + 1 +#define P751P1_5 $0xEEB0000000000000 +#define P751P1_6 $0xE3EC968549F878A8 +#define P751P1_7 $0xDA959B1A13F7CC76 +#define P751P1_8 $0x084E9867D6EBE876 +#define P751P1_9 $0x8562B5045CB25748 +#define P751P1_10 $0x0E12909F97BADC66 +#define P751P1_11 $0x00006FE5D541F71C + +#define P751_0 $0xFFFFFFFFFFFFFFFF +#define P751_5 $0xEEAFFFFFFFFFFFFF +#define P751_6 $0xE3EC968549F878A8 +#define P751_7 $0xDA959B1A13F7CC76 +#define P751_8 $0x084E9867D6EBE876 +#define P751_9 $0x8562B5045CB25748 +#define P751_10 $0x0E12909F97BADC66 +#define P751_11 $0x00006FE5D541F71C + +#define P751X2_0 $0xFFFFFFFFFFFFFFFE +#define P751X2_1 $0xFFFFFFFFFFFFFFFF +#define P751X2_5 $0xDD5FFFFFFFFFFFFF +#define P751X2_6 $0xC7D92D0A93F0F151 +#define P751X2_7 $0xB52B363427EF98ED +#define P751X2_8 $0x109D30CFADD7D0ED +#define P751X2_9 $0x0AC56A08B964AE90 +#define P751X2_10 $0x1C25213F2F75B8CD +#define P751X2_11 $0x0000DFCBAA83EE38 + +// The MSR code uses these registers for parameter passing. Keep using +// them to avoid significant code changes. This means that when the Go +// assembler does something strange, we can diff the machine code +// against a different assembler to find out what Go did. + +#define REG_P1 DI +#define REG_P2 SI +#define REG_P3 DX + +TEXT ·modP751(SB), NOSPLIT, $0-8 + MOVQ x+0(FP), REG_P1 + + // Zero AX for later use: + XORQ AX, AX + + // Load p into registers: + MOVQ P751_0, R8 + // P751_{1,2,3,4} = P751_0, so reuse R8 + MOVQ P751_5, R9 + MOVQ P751_6, R10 + MOVQ P751_7, R11 + MOVQ P751_8, R12 + MOVQ P751_9, R13 + MOVQ P751_10, R14 + MOVQ P751_11, R15 + + // Set x <- x - p + SUBQ R8, (REG_P1) + SBBQ R8, (8)(REG_P1) + SBBQ R8, (16)(REG_P1) + SBBQ R8, (24)(REG_P1) + SBBQ R8, (32)(REG_P1) + SBBQ R9, (40)(REG_P1) + SBBQ R10, (48)(REG_P1) + SBBQ R11, (56)(REG_P1) + SBBQ R12, (64)(REG_P1) + SBBQ R13, (72)(REG_P1) + SBBQ R14, (80)(REG_P1) + SBBQ R15, (88)(REG_P1) + + // Save carry flag indicating x-p < 0 as a mask in AX + SBBQ $0, AX + + // Conditionally add p to x if x-p < 0 + ANDQ AX, R8 + ANDQ AX, R9 + ANDQ AX, R10 + ANDQ AX, R11 + ANDQ AX, R12 + ANDQ AX, R13 + ANDQ AX, R14 + ANDQ AX, R15 + + ADDQ R8, (REG_P1) + ADCQ R8, (8)(REG_P1) + ADCQ R8, (16)(REG_P1) + ADCQ R8, (24)(REG_P1) + ADCQ R8, (32)(REG_P1) + ADCQ R9, (40)(REG_P1) + ADCQ R10, (48)(REG_P1) + ADCQ R11, (56)(REG_P1) + ADCQ R12, (64)(REG_P1) + ADCQ R13, (72)(REG_P1) + ADCQ R14, (80)(REG_P1) + ADCQ R15, (88)(REG_P1) + + RET + +TEXT ·cswapP751(SB), NOSPLIT, $0-17 + + MOVQ x+0(FP), REG_P1 + MOVQ y+8(FP), REG_P2 + MOVB choice+16(FP), AL // AL = 0 or 1 + MOVBLZX AL, AX // AX = 0 or 1 + NEGQ AX // RAX = 0x00..00 or 0xff..ff + + MOVQ (0*8)(REG_P1), BX // BX = x[0] + MOVQ (0*8)(REG_P2), CX // CX = y[0] + MOVQ CX, DX // DX = y[0] + XORQ BX, DX // DX = y[0] ^ x[0] + ANDQ AX, DX // DX = (y[0] ^ x[0]) & mask + XORQ DX, BX // BX = (y[0] ^ x[0]) & mask) ^ x[0] = x[0] or y[0] + XORQ DX, CX // CX = (y[0] ^ x[0]) & mask) ^ y[0] = y[0] or x[0] + MOVQ BX, (0*8)(REG_P1) + MOVQ CX, (0*8)(REG_P2) + + MOVQ (1*8)(REG_P1), BX + MOVQ (1*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (1*8)(REG_P1) + MOVQ CX, (1*8)(REG_P2) + + MOVQ (2*8)(REG_P1), BX + MOVQ (2*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (2*8)(REG_P1) + MOVQ CX, (2*8)(REG_P2) + + MOVQ (3*8)(REG_P1), BX + MOVQ (3*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (3*8)(REG_P1) + MOVQ CX, (3*8)(REG_P2) + + MOVQ (4*8)(REG_P1), BX + MOVQ (4*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (4*8)(REG_P1) + MOVQ CX, (4*8)(REG_P2) + + MOVQ (5*8)(REG_P1), BX + MOVQ (5*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (5*8)(REG_P1) + MOVQ CX, (5*8)(REG_P2) + + MOVQ (6*8)(REG_P1), BX + MOVQ (6*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (6*8)(REG_P1) + MOVQ CX, (6*8)(REG_P2) + + MOVQ (7*8)(REG_P1), BX + MOVQ (7*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (7*8)(REG_P1) + MOVQ CX, (7*8)(REG_P2) + + MOVQ (8*8)(REG_P1), BX + MOVQ (8*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (8*8)(REG_P1) + MOVQ CX, (8*8)(REG_P2) + + MOVQ (9*8)(REG_P1), BX + MOVQ (9*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (9*8)(REG_P1) + MOVQ CX, (9*8)(REG_P2) + + MOVQ (10*8)(REG_P1), BX + MOVQ (10*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (10*8)(REG_P1) + MOVQ CX, (10*8)(REG_P2) + + MOVQ (11*8)(REG_P1), BX + MOVQ (11*8)(REG_P2), CX + MOVQ CX, DX + XORQ BX, DX + ANDQ AX, DX + XORQ DX, BX + XORQ DX, CX + MOVQ BX, (11*8)(REG_P1) + MOVQ CX, (11*8)(REG_P2) + + RET + +TEXT ·addP751(SB), NOSPLIT, $0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + MOVQ (REG_P1), R8 + MOVQ (8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + MOVQ (64)(REG_P1), CX + ADDQ (REG_P2), R8 + ADCQ (8)(REG_P2), R9 + ADCQ (16)(REG_P2), R10 + ADCQ (24)(REG_P2), R11 + ADCQ (32)(REG_P2), R12 + ADCQ (40)(REG_P2), R13 + ADCQ (48)(REG_P2), R14 + ADCQ (56)(REG_P2), R15 + ADCQ (64)(REG_P2), CX + MOVQ (72)(REG_P1), AX + ADCQ (72)(REG_P2), AX + MOVQ AX, (72)(REG_P3) + MOVQ (80)(REG_P1), AX + ADCQ (80)(REG_P2), AX + MOVQ AX, (80)(REG_P3) + MOVQ (88)(REG_P1), AX + ADCQ (88)(REG_P2), AX + MOVQ AX, (88)(REG_P3) + + MOVQ P751X2_0, AX + SUBQ AX, R8 + MOVQ P751X2_1, AX + SBBQ AX, R9 + SBBQ AX, R10 + SBBQ AX, R11 + SBBQ AX, R12 + MOVQ P751X2_5, AX + SBBQ AX, R13 + MOVQ P751X2_6, AX + SBBQ AX, R14 + MOVQ P751X2_7, AX + SBBQ AX, R15 + MOVQ P751X2_8, AX + SBBQ AX, CX + MOVQ R8, (REG_P3) + MOVQ R9, (8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + MOVQ CX, (64)(REG_P3) + MOVQ (72)(REG_P3), R8 + MOVQ (80)(REG_P3), R9 + MOVQ (88)(REG_P3), R10 + MOVQ P751X2_9, AX + SBBQ AX, R8 + MOVQ P751X2_10, AX + SBBQ AX, R9 + MOVQ P751X2_11, AX + SBBQ AX, R10 + MOVQ R8, (72)(REG_P3) + MOVQ R9, (80)(REG_P3) + MOVQ R10, (88)(REG_P3) + MOVQ $0, AX + SBBQ $0, AX + + MOVQ P751X2_0, SI + ANDQ AX, SI + MOVQ P751X2_1, R8 + ANDQ AX, R8 + MOVQ P751X2_5, R9 + ANDQ AX, R9 + MOVQ P751X2_6, R10 + ANDQ AX, R10 + MOVQ P751X2_7, R11 + ANDQ AX, R11 + MOVQ P751X2_8, R12 + ANDQ AX, R12 + MOVQ P751X2_9, R13 + ANDQ AX, R13 + MOVQ P751X2_10, R14 + ANDQ AX, R14 + MOVQ P751X2_11, R15 + ANDQ AX, R15 + + MOVQ (REG_P3), AX + ADDQ SI, AX + MOVQ AX, (REG_P3) + MOVQ (8)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (8)(REG_P3) + MOVQ (16)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (16)(REG_P3) + MOVQ (24)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (24)(REG_P3) + MOVQ (32)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (32)(REG_P3) + MOVQ (40)(REG_P3), AX + ADCQ R9, AX + MOVQ AX, (40)(REG_P3) + MOVQ (48)(REG_P3), AX + ADCQ R10, AX + MOVQ AX, (48)(REG_P3) + MOVQ (56)(REG_P3), AX + ADCQ R11, AX + MOVQ AX, (56)(REG_P3) + MOVQ (64)(REG_P3), AX + ADCQ R12, AX + MOVQ AX, (64)(REG_P3) + MOVQ (72)(REG_P3), AX + ADCQ R13, AX + MOVQ AX, (72)(REG_P3) + MOVQ (80)(REG_P3), AX + ADCQ R14, AX + MOVQ AX, (80)(REG_P3) + MOVQ (88)(REG_P3), AX + ADCQ R15, AX + MOVQ AX, (88)(REG_P3) + + RET + +TEXT ·subP751(SB), NOSPLIT, $0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + MOVQ (REG_P1), R8 + MOVQ (8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + MOVQ (64)(REG_P1), CX + SUBQ (REG_P2), R8 + SBBQ (8)(REG_P2), R9 + SBBQ (16)(REG_P2), R10 + SBBQ (24)(REG_P2), R11 + SBBQ (32)(REG_P2), R12 + SBBQ (40)(REG_P2), R13 + SBBQ (48)(REG_P2), R14 + SBBQ (56)(REG_P2), R15 + SBBQ (64)(REG_P2), CX + MOVQ R8, (REG_P3) + MOVQ R9, (8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + MOVQ CX, (64)(REG_P3) + MOVQ (72)(REG_P1), AX + SBBQ (72)(REG_P2), AX + MOVQ AX, (72)(REG_P3) + MOVQ (80)(REG_P1), AX + SBBQ (80)(REG_P2), AX + MOVQ AX, (80)(REG_P3) + MOVQ (88)(REG_P1), AX + SBBQ (88)(REG_P2), AX + MOVQ AX, (88)(REG_P3) + MOVQ $0, AX + SBBQ $0, AX + + MOVQ P751X2_0, SI + ANDQ AX, SI + MOVQ P751X2_1, R8 + ANDQ AX, R8 + MOVQ P751X2_5, R9 + ANDQ AX, R9 + MOVQ P751X2_6, R10 + ANDQ AX, R10 + MOVQ P751X2_7, R11 + ANDQ AX, R11 + MOVQ P751X2_8, R12 + ANDQ AX, R12 + MOVQ P751X2_9, R13 + ANDQ AX, R13 + MOVQ P751X2_10, R14 + ANDQ AX, R14 + MOVQ P751X2_11, R15 + ANDQ AX, R15 + + MOVQ (REG_P3), AX + ADDQ SI, AX + MOVQ AX, (REG_P3) + MOVQ (8)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (8)(REG_P3) + MOVQ (16)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (16)(REG_P3) + MOVQ (24)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (24)(REG_P3) + MOVQ (32)(REG_P3), AX + ADCQ R8, AX + MOVQ AX, (32)(REG_P3) + MOVQ (40)(REG_P3), AX + ADCQ R9, AX + MOVQ AX, (40)(REG_P3) + MOVQ (48)(REG_P3), AX + ADCQ R10, AX + MOVQ AX, (48)(REG_P3) + MOVQ (56)(REG_P3), AX + ADCQ R11, AX + MOVQ AX, (56)(REG_P3) + MOVQ (64)(REG_P3), AX + ADCQ R12, AX + MOVQ AX, (64)(REG_P3) + MOVQ (72)(REG_P3), AX + ADCQ R13, AX + MOVQ AX, (72)(REG_P3) + MOVQ (80)(REG_P3), AX + ADCQ R14, AX + MOVQ AX, (80)(REG_P3) + MOVQ (88)(REG_P3), AX + ADCQ R15, AX + MOVQ AX, (88)(REG_P3) + + RET + +TEXT ·mulP751(SB), $96-24 + + // Here we store the destination in CX instead of in REG_P3 because the + // multiplication instructions use DX as an implicit destination + // operand: MULQ $REG sets DX:AX <-- AX * $REG. + + MOVQ z+0(FP), CX + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + XORQ AX, AX + MOVQ (48)(REG_P1), R8 + MOVQ (56)(REG_P1), R9 + MOVQ (64)(REG_P1), R10 + MOVQ (72)(REG_P1), R11 + MOVQ (80)(REG_P1), R12 + MOVQ (88)(REG_P1), R13 + ADDQ (REG_P1), R8 + ADCQ (8)(REG_P1), R9 + ADCQ (16)(REG_P1), R10 + ADCQ (24)(REG_P1), R11 + ADCQ (32)(REG_P1), R12 + ADCQ (40)(REG_P1), R13 + MOVQ R8, (CX) + MOVQ R9, (8)(CX) + MOVQ R10, (16)(CX) + MOVQ R11, (24)(CX) + MOVQ R12, (32)(CX) + MOVQ R13, (40)(CX) + SBBQ $0, AX + + XORQ DX, DX + MOVQ (48)(REG_P2), R8 + MOVQ (56)(REG_P2), R9 + MOVQ (64)(REG_P2), R10 + MOVQ (72)(REG_P2), R11 + MOVQ (80)(REG_P2), R12 + MOVQ (88)(REG_P2), R13 + ADDQ (REG_P2), R8 + ADCQ (8)(REG_P2), R9 + ADCQ (16)(REG_P2), R10 + ADCQ (24)(REG_P2), R11 + ADCQ (32)(REG_P2), R12 + ADCQ (40)(REG_P2), R13 + MOVQ R8, (48)(CX) + MOVQ R9, (56)(CX) + MOVQ R10, (64)(CX) + MOVQ R11, (72)(CX) + MOVQ R12, (80)(CX) + MOVQ R13, (88)(CX) + SBBQ $0, DX + MOVQ AX, (80)(SP) + MOVQ DX, (88)(SP) + + // (SP[0-8],R10,R8,R9) <- (AH+AL)*(BH+BL) + + MOVQ (CX), R11 + MOVQ R8, AX + MULQ R11 + MOVQ AX, (SP) // c0 + MOVQ DX, R14 + + XORQ R15, R15 + MOVQ R9, AX + MULQ R11 + XORQ R9, R9 + ADDQ AX, R14 + ADCQ DX, R9 + + MOVQ (8)(CX), R12 + MOVQ R8, AX + MULQ R12 + ADDQ AX, R14 + MOVQ R14, (8)(SP) // c1 + ADCQ DX, R9 + ADCQ $0, R15 + + XORQ R8, R8 + MOVQ R10, AX + MULQ R11 + ADDQ AX, R9 + MOVQ (48)(CX), R13 + ADCQ DX, R15 + ADCQ $0, R8 + + MOVQ (16)(CX), AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R15 + MOVQ (56)(CX), AX + ADCQ $0, R8 + + MULQ R12 + ADDQ AX, R9 + MOVQ R9, (16)(SP) // c2 + ADCQ DX, R15 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (72)(CX), AX + MULQ R11 + ADDQ AX, R15 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (24)(CX), AX + MULQ R13 + ADDQ AX, R15 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ R10, AX + MULQ R12 + ADDQ AX, R15 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (16)(CX), R14 + MOVQ (56)(CX), AX + MULQ R14 + ADDQ AX, R15 + MOVQ R15, (24)(SP) // c3 + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ (80)(CX), AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (64)(CX), AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (48)(CX), R15 + MOVQ (32)(CX), AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (72)(CX), AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (24)(CX), R13 + MOVQ (56)(CX), AX + MULQ R13 + ADDQ AX, R8 + MOVQ R8, (32)(SP) // c4 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (88)(CX), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (64)(CX), AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (72)(CX), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (40)(CX), AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (80)(CX), AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (32)(CX), R15 + MOVQ (56)(CX), AX + MULQ R15 + ADDQ AX, R9 + MOVQ R9, (40)(SP) // c5 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (64)(CX), AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (88)(CX), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (80)(CX), AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (40)(CX), R11 + MOVQ (56)(CX), AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (72)(CX), AX + MULQ R13 + ADDQ AX, R10 + MOVQ R10, (48)(SP) // c6 + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ (88)(CX), AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (64)(CX), AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (80)(CX), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (72)(CX), AX + MULQ R15 + ADDQ AX, R8 + MOVQ R8, (56)(SP) // c7 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (72)(CX), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (80)(CX), AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (88)(CX), AX + MULQ R13 + ADDQ AX, R9 + MOVQ R9, (64)(SP) // c8 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (88)(CX), AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (80)(CX), AX + MULQ R11 + ADDQ AX, R10 // c9 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (88)(CX), AX + MULQ R11 + ADDQ AX, R8 // c10 + ADCQ DX, R9 // c11 + + MOVQ (88)(SP), AX + MOVQ (CX), DX + ANDQ AX, R12 + ANDQ AX, R14 + ANDQ AX, DX + ANDQ AX, R13 + ANDQ AX, R15 + ANDQ AX, R11 + MOVQ (48)(SP), AX + ADDQ AX, DX + MOVQ (56)(SP), AX + ADCQ AX, R12 + MOVQ (64)(SP), AX + ADCQ AX, R14 + ADCQ R10, R13 + ADCQ R8, R15 + ADCQ R9, R11 + MOVQ (80)(SP), AX + MOVQ DX, (48)(SP) + MOVQ R12, (56)(SP) + MOVQ R14, (64)(SP) + MOVQ R13, (72)(SP) + MOVQ R15, (80)(SP) + MOVQ R11, (88)(SP) + + MOVQ (48)(CX), R8 + MOVQ (56)(CX), R9 + MOVQ (64)(CX), R10 + MOVQ (72)(CX), R11 + MOVQ (80)(CX), R12 + MOVQ (88)(CX), R13 + ANDQ AX, R8 + ANDQ AX, R9 + ANDQ AX, R10 + ANDQ AX, R11 + ANDQ AX, R12 + ANDQ AX, R13 + MOVQ (48)(SP), AX + ADDQ AX, R8 + MOVQ (56)(SP), AX + ADCQ AX, R9 + MOVQ (64)(SP), AX + ADCQ AX, R10 + MOVQ (72)(SP), AX + ADCQ AX, R11 + MOVQ (80)(SP), AX + ADCQ AX, R12 + MOVQ (88)(SP), AX + ADCQ AX, R13 + MOVQ R8, (48)(SP) + MOVQ R9, (56)(SP) + MOVQ R11, (72)(SP) + + // CX[0-11] <- AL*BL + MOVQ (REG_P1), R11 + MOVQ (REG_P2), AX + MULQ R11 + XORQ R9, R9 + MOVQ AX, (CX) // c0 + MOVQ R10, (64)(SP) + MOVQ DX, R8 + + MOVQ (8)(REG_P2), AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + MOVQ R12, (80)(SP) + ADCQ DX, R9 + + MOVQ (8)(REG_P1), R12 + MOVQ (REG_P2), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, (8)(CX) // c1 + ADCQ DX, R9 + MOVQ R13, (88)(SP) + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (16)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (REG_P2), R13 + MOVQ (16)(REG_P1), AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (8)(REG_P2), AX + MULQ R12 + ADDQ AX, R9 + MOVQ R9, (16)(CX) // c2 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (24)(REG_P2), AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (24)(REG_P1), AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (16)(REG_P2), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (16)(REG_P1), R14 + MOVQ (8)(REG_P2), AX + MULQ R14 + ADDQ AX, R10 + MOVQ R10, (24)(CX) // c3 + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ (32)(REG_P2), AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (16)(REG_P2), AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (32)(REG_P1), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (24)(REG_P2), AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (24)(REG_P1), R13 + MOVQ (8)(REG_P2), AX + MULQ R13 + ADDQ AX, R8 + MOVQ R8, (32)(CX) // c4 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (40)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (16)(REG_P2), AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (24)(REG_P2), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (40)(REG_P1), R11 + MOVQ (REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (32)(REG_P2), AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (32)(REG_P1), R15 + MOVQ (8)(REG_P2), AX + MULQ R15 + ADDQ AX, R9 + MOVQ R9, (40)(CX) //c5 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (16)(REG_P2), AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (40)(REG_P2), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (32)(REG_P2), AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (8)(REG_P2), AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (24)(REG_P2), AX + MULQ R13 + ADDQ AX, R10 + MOVQ R10, (48)(CX) // c6 + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ (40)(REG_P2), AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (16)(REG_P2), AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (32)(REG_P2), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (24)(REG_P2), AX + MULQ R15 + ADDQ AX, R8 + MOVQ R8, (56)(CX) // c7 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (24)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (32)(REG_P2), AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (40)(REG_P2), AX + MULQ R13 + ADDQ AX, R9 + MOVQ R9, (64)(CX) // c8 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (40)(REG_P2), AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (32)(REG_P2), AX + MULQ R11 + ADDQ AX, R10 + MOVQ R10, (72)(CX) // c9 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (40)(REG_P2), AX + MULQ R11 + ADDQ AX, R8 + MOVQ R8, (80)(CX) // c10 + ADCQ DX, R9 + MOVQ R9, (88)(CX) // c11 + + // CX[12-23] <- AH*BH + MOVQ (48)(REG_P1), R11 + MOVQ (48)(REG_P2), AX + MULQ R11 + XORQ R9, R9 + MOVQ AX, (96)(CX) // c0 + MOVQ DX, R8 + + MOVQ (56)(REG_P2), AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + ADCQ DX, R9 + + MOVQ (56)(REG_P1), R12 + MOVQ (48)(REG_P2), AX + MULQ R12 + ADDQ AX, R8 + MOVQ R8, (104)(CX) // c1 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (64)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (48)(REG_P2), R13 + MOVQ (64)(REG_P1), AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (56)(REG_P2), AX + MULQ R12 + ADDQ AX, R9 + MOVQ R9, (112)(CX) // c2 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (72)(REG_P2), AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (72)(REG_P1), AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (64)(REG_P2), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (64)(REG_P1), R14 + MOVQ (56)(REG_P2), AX + MULQ R14 + ADDQ AX, R10 + MOVQ R10, (120)(CX) // c3 + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ (80)(REG_P2), AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (64)(REG_P2), AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (80)(REG_P1), R15 + MOVQ R13, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (72)(REG_P2), AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (72)(REG_P1), R13 + MOVQ (56)(REG_P2), AX + MULQ R13 + ADDQ AX, R8 + MOVQ R8, (128)(CX) // c4 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (88)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (64)(REG_P2), AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (72)(REG_P2), AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (88)(REG_P1), R11 + MOVQ (48)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (80)(REG_P2), AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (56)(REG_P2), AX + MULQ R15 + ADDQ AX, R9 + MOVQ R9, (136)(CX) // c5 + ADCQ DX, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ (64)(REG_P2), AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (88)(REG_P2), AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (80)(REG_P2), AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (56)(REG_P2), AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (72)(REG_P2), AX + MULQ R13 + ADDQ AX, R10 + MOVQ R10, (144)(CX) // c6 + ADCQ DX, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ (88)(REG_P2), AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (64)(REG_P2), AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (80)(REG_P2), AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (72)(REG_P2), AX + MULQ R15 + ADDQ AX, R8 + MOVQ R8, (152)(CX) // c7 + ADCQ DX, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ (72)(REG_P2), AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (80)(REG_P2), AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (88)(REG_P2), AX + MULQ R13 + ADDQ AX, R9 + MOVQ R9, (160)(CX) // c8 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (88)(REG_P2), AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + + MOVQ (80)(REG_P2), AX + MULQ R11 + ADDQ AX, R10 + MOVQ R10, (168)(CX) // c9 + ADCQ DX, R8 + + MOVQ (88)(REG_P2), AX + MULQ R11 + ADDQ AX, R8 + MOVQ R8, (176)(CX) // c10 + ADCQ $0, DX + MOVQ DX, (184)(CX) // c11 + + // [R8-R15,AX,DX,DI,(SP)] <- (AH+AL)*(BH+BL)-AL*BL + MOVQ (SP), R8 + SUBQ (CX), R8 + MOVQ (8)(SP), R9 + SBBQ (8)(CX), R9 + MOVQ (16)(SP), R10 + SBBQ (16)(CX), R10 + MOVQ (24)(SP), R11 + SBBQ (24)(CX), R11 + MOVQ (32)(SP), R12 + SBBQ (32)(CX), R12 + MOVQ (40)(SP), R13 + SBBQ (40)(CX), R13 + MOVQ (48)(SP), R14 + SBBQ (48)(CX), R14 + MOVQ (56)(SP), R15 + SBBQ (56)(CX), R15 + MOVQ (64)(SP), AX + SBBQ (64)(CX), AX + MOVQ (72)(SP), DX + SBBQ (72)(CX), DX + MOVQ (80)(SP), DI + SBBQ (80)(CX), DI + MOVQ (88)(SP), SI + SBBQ (88)(CX), SI + MOVQ SI, (SP) + + // [R8-R15,AX,DX,DI,(SP)] <- (AH+AL)*(BH+BL) - AL*BL - AH*BH + MOVQ (96)(CX), SI + SUBQ SI, R8 + MOVQ (104)(CX), SI + SBBQ SI, R9 + MOVQ (112)(CX), SI + SBBQ SI, R10 + MOVQ (120)(CX), SI + SBBQ SI, R11 + MOVQ (128)(CX), SI + SBBQ SI, R12 + MOVQ (136)(CX), SI + SBBQ SI, R13 + MOVQ (144)(CX), SI + SBBQ SI, R14 + MOVQ (152)(CX), SI + SBBQ SI, R15 + MOVQ (160)(CX), SI + SBBQ SI, AX + MOVQ (168)(CX), SI + SBBQ SI, DX + MOVQ (176)(CX), SI + SBBQ SI, DI + MOVQ (SP), SI + SBBQ (184)(CX), SI + + // FINAL RESULT + ADDQ (48)(CX), R8 + MOVQ R8, (48)(CX) + ADCQ (56)(CX), R9 + MOVQ R9, (56)(CX) + ADCQ (64)(CX), R10 + MOVQ R10, (64)(CX) + ADCQ (72)(CX), R11 + MOVQ R11, (72)(CX) + ADCQ (80)(CX), R12 + MOVQ R12, (80)(CX) + ADCQ (88)(CX), R13 + MOVQ R13, (88)(CX) + ADCQ (96)(CX), R14 + MOVQ R14, (96)(CX) + ADCQ (104)(CX), R15 + MOVQ R15, (104)(CX) + ADCQ (112)(CX), AX + MOVQ AX, (112)(CX) + ADCQ (120)(CX), DX + MOVQ DX, (120)(CX) + ADCQ (128)(CX), DI + MOVQ DI, (128)(CX) + ADCQ (136)(CX), SI + MOVQ SI, (136)(CX) + MOVQ (144)(CX), AX + ADCQ $0, AX + MOVQ AX, (144)(CX) + MOVQ (152)(CX), AX + ADCQ $0, AX + MOVQ AX, (152)(CX) + MOVQ (160)(CX), AX + ADCQ $0, AX + MOVQ AX, (160)(CX) + MOVQ (168)(CX), AX + ADCQ $0, AX + MOVQ AX, (168)(CX) + MOVQ (176)(CX), AX + ADCQ $0, AX + MOVQ AX, (176)(CX) + MOVQ (184)(CX), AX + ADCQ $0, AX + MOVQ AX, (184)(CX) + + RET + +// This multiplies a 256-bit number pointed to by M0 with p751+1. +// It is assumed that M1 points to p751+1 stored as a 768-bit Fp751Element. +// C points to the place to store the result and should be at least 192 bits. +// This should only be used when the BMI2 and ADX instruction set extensions +// are available. +#define mul256x448bmi2adx(M0, M1, C, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10) \ + MOVQ 0+M0, DX \ + MULXQ M1+40(SB), T1, T0 \ + MULXQ M1+48(SB), T3, T2 \ + MOVQ T1, 0+C \ // C0_final + XORQ AX, AX \ + MULXQ M1+56(SB), T5, T4 \ + ADOXQ T3, T0 \ + ADOXQ T5, T2 \ + MULXQ M1+64(SB), T3, T1 \ + ADOXQ T3, T4 \ + MULXQ M1+72(SB), T6, T5 \ + ADOXQ T6, T1 \ + MULXQ M1+80(SB), T7, T3 \ + ADOXQ T7, T5 \ + MULXQ M1+88(SB), T8, T6 \ + ADOXQ T8, T3 \ + ADOXQ AX, T6 \ + \ + MOVQ 8+M0, DX \ + MULXQ M1+40(SB), T7, T8 \ + XORQ AX, AX \ + ADCXQ T7, T0 \ + MOVQ T0, 8+C \ // C1_final + ADCXQ T8, T2 \ + MULXQ M1+48(SB), T8, T7 \ + ADOXQ T8, T2 \ + ADCXQ T7, T4 \ + MULXQ M1+56(SB), T8, T0 \ + ADOXQ T8, T4 \ + ADCXQ T1, T0 \ + MULXQ M1+64(SB), T7, T1 \ + ADCXQ T5, T1 \ + MULXQ M1+72(SB), T8, T5 \ + ADCXQ T5, T3 \ + MULXQ M1+80(SB), T9, T5 \ + ADCXQ T5, T6 \ + MULXQ M1+88(SB), DX, T5 \ + ADCXQ AX, T5 \ + \ + ADOXQ T7, T0 \ + ADOXQ T8, T1 \ + ADOXQ T9, T3 \ + ADOXQ DX, T6 \ + ADOXQ AX, T5 \ + \ + MOVQ 16+M0, DX \ + MULXQ M1+40(SB), T7, T8 \ + XORQ AX, AX \ + ADCXQ T7, T2 \ + MOVQ T2, 16+C \ // C2_final + ADCXQ T8, T4 \ + MULXQ M1+48(SB), T7, T8 \ + ADOXQ T7, T4 \ + ADCXQ T8, T0 \ + MULXQ M1+56(SB), T8, T2 \ + ADOXQ T8, T0 \ + ADCXQ T2, T1 \ + MULXQ M1+64(SB), T7, T2 \ + ADCXQ T2, T3 \ + MULXQ M1+72(SB), T8, T2 \ + ADCXQ T2, T6 \ + MULXQ M1+80(SB), T9, T2 \ + ADCXQ T2, T5 \ + MULXQ M1+88(SB), DX, T2 \ + ADCXQ AX, T2 \ + \ + ADOXQ T7, T1 \ + ADOXQ T8, T3 \ + ADOXQ T9, T6 \ + ADOXQ DX, T5 \ + ADOXQ AX, T2 \ + \ + MOVQ 24+M0, DX \ + MULXQ M1+40(SB), T7, T8 \ + XORQ AX, AX \ + ADCXQ T4, T7 \ + ADCXQ T8, T0 \ + MULXQ M1+48(SB), T10, T8 \ + ADOXQ T10, T0 \ + ADCXQ T8, T1 \ + MULXQ M1+56(SB), T8, T4 \ + ADOXQ T8, T1 \ + ADCXQ T4, T3 \ + MULXQ M1+64(SB), T10, T4 \ + ADCXQ T4, T6 \ + MULXQ M1+72(SB), T8, T4 \ + ADCXQ T4, T5 \ + MULXQ M1+80(SB), T9, T4 \ + ADCXQ T4, T2 \ + MULXQ M1+88(SB), DX, T4 \ + ADCXQ AX, T4 \ + \ + ADOXQ T10, T3 \ + ADOXQ T8, T6 \ + ADOXQ T9, T5 \ + ADOXQ DX, T2 \ + ADOXQ AX, T4 + +// This multiplies a 256-bit number pointed to by M0 with p751+1. +// It is assumed that M1 points to p751+1 stored as a 768-bit Fp751Element. +// C points to the place to store the result and should be at least 192 bits. +// This should only be used when the BMI2 instruction set extension is +// available. +#define mul256x448bmi2(M0, M1, C, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10) \ + MOVQ 0+M0, DX \ + MULXQ M1+40(SB), T1, T0 \ + MULXQ M1+48(SB), T3, T2 \ + MOVQ T1, 0+C \ // C0_final + XORQ AX, AX \ + MULXQ M1+56(SB), T5, T4 \ + ADDQ T3, T0 \ + ADCQ T5, T2 \ + MULXQ M1+64(SB), T3, T1 \ + ADCQ T3, T4 \ + MULXQ M1+72(SB), T6, T5 \ + ADCQ T6, T1 \ + MULXQ M1+80(SB), T7, T3 \ + ADCQ T7, T5 \ + MULXQ M1+88(SB), T8, T6 \ + ADCQ T8, T3 \ + ADCQ AX, T6 \ + \ + MOVQ 8+M0, DX \ + MULXQ M1+40(SB), T7, T8 \ + ADDQ T7, T0 \ + MOVQ T0, 8+C \ // C1_final + ADCQ T8, T2 \ + MULXQ M1+48(SB), T8, T7 \ + MOVQ T8, 32+C \ + ADCQ T7, T4 \ + MULXQ M1+56(SB), T8, T0 \ + MOVQ T8, 40+C \ + ADCQ T1, T0 \ + MULXQ M1+64(SB), T7, T1 \ + ADCQ T5, T1 \ + MULXQ M1+72(SB), T8, T5 \ + ADCQ T5, T3 \ + MULXQ M1+80(SB), T9, T5 \ + ADCQ T5, T6 \ + MULXQ M1+88(SB), DX, T5 \ + ADCQ AX, T5 \ + \ + XORQ AX, AX \ + ADDQ 32+C, T2 \ + ADCQ 40+C, T4 \ + ADCQ T7, T0 \ + ADCQ T8, T1 \ + ADCQ T9, T3 \ + ADCQ DX, T6 \ + ADCQ AX, T5 \ + \ + MOVQ 16+M0, DX \ + MULXQ M1+40(SB), T7, T8 \ + ADDQ T7, T2 \ + MOVQ T2, 16+C \ // C2_final + ADCQ T8, T4 \ + MULXQ M1+48(SB), T7, T8 \ + MOVQ T7, 32+C \ + ADCQ T8, T0 \ + MULXQ M1+56(SB), T8, T2 \ + MOVQ T8, 40+C \ + ADCQ T2, T1 \ + MULXQ M1+64(SB), T7, T2 \ + ADCQ T2, T3 \ + MULXQ M1+72(SB), T8, T2 \ + ADCQ T2, T6 \ + MULXQ M1+80(SB), T9, T2 \ + ADCQ T2, T5 \ + MULXQ M1+88(SB), DX, T2 \ + ADCQ AX, T2 \ + \ + XORQ AX, AX \ + ADDQ 32+C, T4 \ + ADCQ 40+C, T0 \ + ADCQ T7, T1 \ + ADCQ T8, T3 \ + ADCQ T9, T6 \ + ADCQ DX, T5 \ + ADCQ AX, T2 \ + \ + MOVQ 24+M0, DX \ + MULXQ M1+40(SB), T7, T8 \ + ADDQ T4, T7 \ + ADCQ T8, T0 \ + MULXQ M1+48(SB), T10, T8 \ + MOVQ T10, 32+C \ + ADCQ T8, T1 \ + MULXQ M1+56(SB), T8, T4 \ + MOVQ T8, 40+C \ + ADCQ T4, T3 \ + MULXQ M1+64(SB), T10, T4 \ + ADCQ T4, T6 \ + MULXQ M1+72(SB), T8, T4 \ + ADCQ T4, T5 \ + MULXQ M1+80(SB), T9, T4 \ + ADCQ T4, T2 \ + MULXQ M1+88(SB), DX, T4 \ + ADCQ AX, T4 \ + \ + XORQ AX, AX \ + ADDQ 32+C, T0 \ + ADCQ 40+C, T1 \ + ADCQ T10, T3 \ + ADCQ T8, T6 \ + ADCQ T9, T5 \ + ADCQ DX, T2 \ + ADCQ AX, T4 + +// Template for calculating the Montgomery reduction algorithm described in +// section 5.2.3 of https://eprint.iacr.org/2017/1015.pdf. Template must be +// customized with schoolbook multiplication for 256 x 448-bit number. +// This macro reuses memory of IN value and *changes* it. Smashes registers +// R[8-15], AX, BX, CX, DX, BP. +// Input: +// * M0: 1536-bit number to be reduced +// * C : either mul256x448bmi2 or mul256x448bmi2adx +// Output: OUT 768-bit +#define REDC(C, M0, MULS) \ + \ // a[0-3] x p751p1_nz --> result: [reg_p2+48], [reg_p2+56], [reg_p2+64], and rbp, r8:r14 + MULS(M0, ·P751p1, 48+C, R8, R9, R13, R10, R14, R12, R11, BP, BX, CX, R15) \ + XORQ R15, R15 \ + MOVQ 48+C, AX \ + MOVQ 56+C, DX \ + MOVQ 64+C, BX \ + ADDQ 40+M0, AX \ + ADCQ 48+M0, DX \ + ADCQ 56+M0, BX \ + MOVQ AX, 40+M0 \ + MOVQ DX, 48+M0 \ + MOVQ BX, 56+M0 \ + ADCQ 64+M0, BP \ + ADCQ 72+M0, R8 \ + ADCQ 80+M0, R9 \ + ADCQ 88+M0, R10 \ + ADCQ 96+M0, R11 \ + ADCQ 104+M0, R12 \ + ADCQ 112+M0, R13 \ + ADCQ 120+M0, R14 \ + ADCQ 128+M0, R15 \ + MOVQ BP, 64+M0 \ + MOVQ R8, 72+M0 \ + MOVQ R9, 80+M0 \ + MOVQ R10, 88+M0 \ + MOVQ R11, 96+M0 \ + MOVQ R12, 104+M0 \ + MOVQ R13, 112+M0 \ + MOVQ R14, 120+M0 \ + MOVQ R15, 128+M0 \ + MOVQ 136+M0, R8 \ + MOVQ 144+M0, R9 \ + MOVQ 152+M0, R10 \ + MOVQ 160+M0, R11 \ + MOVQ 168+M0, R12 \ + MOVQ 176+M0, R13 \ + MOVQ 184+M0, R14 \ + ADCQ $0, R8 \ + ADCQ $0, R9 \ + ADCQ $0, R10 \ + ADCQ $0, R11 \ + ADCQ $0, R12 \ + ADCQ $0, R13 \ + ADCQ $0, R14 \ + MOVQ R8, 136+M0 \ + MOVQ R9, 144+M0 \ + MOVQ R10, 152+M0 \ + MOVQ R11, 160+M0 \ + MOVQ R12, 168+M0 \ + MOVQ R13, 176+M0 \ + MOVQ R14, 184+M0 \ + \ // a[4-7] x p751p1_nz --> result: [reg_p2+48], [reg_p2+56], [reg_p2+64], and rbp, r8:r14 + MULS(32+M0, ·P751p1, 48+C, R8, R9, R13, R10, R14, R12, R11, BP, BX, CX, R15) \ + XORQ R15, R15 \ + MOVQ 48+C, AX \ + MOVQ 56+C, DX \ + MOVQ 64+C, BX \ + ADDQ 72+M0, AX \ + ADCQ 80+M0, DX \ + ADCQ 88+M0, BX \ + MOVQ AX, 72+M0 \ + MOVQ DX, 80+M0 \ + MOVQ BX, 88+M0 \ + ADCQ 96+M0, BP \ + ADCQ 104+M0, R8 \ + ADCQ 112+M0, R9 \ + ADCQ 120+M0, R10 \ + ADCQ 128+M0, R11 \ + ADCQ 136+M0, R12 \ + ADCQ 144+M0, R13 \ + ADCQ 152+M0, R14 \ + ADCQ 160+M0, R15 \ + MOVQ BP, 0+C \ // Final result c0 + MOVQ R8, 104+M0 \ + MOVQ R9, 112+M0 \ + MOVQ R10, 120+M0 \ + MOVQ R11, 128+M0 \ + MOVQ R12, 136+M0 \ + MOVQ R13, 144+M0 \ + MOVQ R14, 152+M0 \ + MOVQ R15, 160+M0 \ + MOVQ 168+M0, R12 \ + MOVQ 176+M0, R13 \ + MOVQ 184+M0, R14 \ + ADCQ $0, R12 \ + ADCQ $0, R13 \ + ADCQ $0, R14 \ + MOVQ R12, 168+M0 \ + MOVQ R13, 176+M0 \ + MOVQ R14, 184+M0 \ + \ // a[8-11] x p751p1_nz --> result: [reg_p2+48], [reg_p2+56], [reg_p2+64], and rbp, r8:r14 + MULS(64+M0, ·P751p1, 48+C, R8, R9, R13, R10, R14, R12, R11, BP, BX, CX, R15) \ + MOVQ 48+C, AX \ // Final result c1:c11 + MOVQ 56+C, DX \ + MOVQ 64+C, BX \ + ADDQ 104+M0, AX \ + ADCQ 112+M0, DX \ + ADCQ 120+M0, BX \ + MOVQ AX, 8+C \ + MOVQ DX, 16+C \ + MOVQ BX, 24+C \ + ADCQ 128+M0, BP \ + ADCQ 136+M0, R8 \ + ADCQ 144+M0, R9 \ + ADCQ 152+M0, R10 \ + ADCQ 160+M0, R11 \ + ADCQ 168+M0, R12 \ + ADCQ 176+M0, R13 \ + ADCQ 184+M0, R14 \ + MOVQ BP, 32+C \ + MOVQ R8, 40+C \ + MOVQ R9, 48+C \ + MOVQ R10, 56+C \ + MOVQ R11, 64+C \ + MOVQ R12, 72+C \ + MOVQ R13, 80+C \ + MOVQ R14, 88+C + +TEXT ·rdcP751(SB), $0-16 + MOVQ z+0(FP), REG_P2 + MOVQ x+8(FP), REG_P1 + + // Check whether to use optimized implementation + CMPB ·HasADXandBMI2(SB), $1 + JE redc_with_mulx_adcx_adox + CMPB ·HasBMI2(SB), $1 + JE redc_with_mulx + + MOVQ (REG_P1), R11 + MOVQ P751P1_5, AX + MULQ R11 + XORQ R8, R8 + ADDQ (40)(REG_P1), AX + MOVQ AX, (40)(REG_P2) // Z5 + ADCQ DX, R8 + + XORQ R9, R9 + MOVQ P751P1_6, AX + MULQ R11 + XORQ R10, R10 + ADDQ AX, R8 + ADCQ DX, R9 + + MOVQ (8)(REG_P1), R12 + MOVQ P751P1_5, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (48)(REG_P1), R8 + MOVQ R8, (48)(REG_P2) // Z6 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P751P1_7, AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_6, AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (16)(REG_P1), R13 + MOVQ P751P1_5, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (56)(REG_P1), R9 + MOVQ R9, (56)(REG_P2) // Z7 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P751P1_8, AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_7, AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_6, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (24)(REG_P1), R14 + MOVQ P751P1_5, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (64)(REG_P1), R10 + MOVQ R10, (64)(REG_P2) // Z8 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P751P1_9, AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_8, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_7, AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_6, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (32)(REG_P1), R15 + MOVQ P751P1_5, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (72)(REG_P1), R8 + MOVQ R8, (72)(REG_P2) // Z9 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P751P1_10, AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_9, AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_8, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_7, AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_6, AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (40)(REG_P2), CX + MOVQ P751P1_5, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (80)(REG_P1), R9 + MOVQ R9, (80)(REG_P2) // Z10 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P751P1_11, AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_10, AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_9, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_8, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_7, AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_6, AX + MULQ CX + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (48)(REG_P2), R11 + MOVQ P751P1_5, AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (88)(REG_P1), R10 + MOVQ R10, (88)(REG_P2) // Z11 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P751P1_11, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_10, AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_9, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_8, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_7, AX + MULQ CX + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_6, AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (56)(REG_P2), R12 + MOVQ P751P1_5, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (96)(REG_P1), R8 + MOVQ R8, (REG_P2) // Z0 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P751P1_11, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_10, AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_9, AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_8, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_7, AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_6, AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (64)(REG_P2), R13 + MOVQ P751P1_5, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (104)(REG_P1), R9 + MOVQ R9, (8)(REG_P2) // Z1 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P751P1_11, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_10, AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_9, AX + MULQ CX + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_8, AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_7, AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_6, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ (72)(REG_P2), R14 + MOVQ P751P1_5, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (112)(REG_P1), R10 + MOVQ R10, (16)(REG_P2) // Z2 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P751P1_11, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_10, AX + MULQ CX + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_9, AX + MULQ R11 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_8, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_7, AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_6, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ (80)(REG_P2), R15 + MOVQ P751P1_5, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (120)(REG_P1), R8 + MOVQ R8, (24)(REG_P2) // Z3 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P751P1_11, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_10, AX + MULQ R11 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_9, AX + MULQ R12 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_8, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_7, AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_6, AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ (88)(REG_P2), CX + MOVQ P751P1_5, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (128)(REG_P1), R9 + MOVQ R9, (32)(REG_P2) // Z4 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P751P1_11, AX + MULQ R11 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_10, AX + MULQ R12 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_9, AX + MULQ R13 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_8, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_7, AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_6, AX + MULQ CX + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (136)(REG_P1), R10 + MOVQ R10, (40)(REG_P2) // Z5 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P751P1_11, AX + MULQ R12 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_10, AX + MULQ R13 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_9, AX + MULQ R14 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_8, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_7, AX + MULQ CX + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (144)(REG_P1), R8 + MOVQ R8, (48)(REG_P2) // Z6 + ADCQ $0, R9 + ADCQ $0, R10 + + XORQ R8, R8 + MOVQ P751P1_11, AX + MULQ R13 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_10, AX + MULQ R14 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_9, AX + MULQ R15 + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + + MOVQ P751P1_8, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADCQ $0, R8 + ADDQ (152)(REG_P1), R9 + MOVQ R9, (56)(REG_P2) // Z7 + ADCQ $0, R10 + ADCQ $0, R8 + + XORQ R9, R9 + MOVQ P751P1_11, AX + MULQ R14 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_10, AX + MULQ R15 + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + + MOVQ P751P1_9, AX + MULQ CX + ADDQ AX, R10 + ADCQ DX, R8 + ADCQ $0, R9 + ADDQ (160)(REG_P1), R10 + MOVQ R10, (64)(REG_P2) // Z8 + ADCQ $0, R8 + ADCQ $0, R9 + + XORQ R10, R10 + MOVQ P751P1_11, AX + MULQ R15 + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + + MOVQ P751P1_10, AX + MULQ CX + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, R10 + ADDQ (168)(REG_P1), R8 // Z9 + MOVQ R8, (72)(REG_P2) // Z9 + ADCQ $0, R9 + ADCQ $0, R10 + + MOVQ P751P1_11, AX + MULQ CX + ADDQ AX, R9 + ADCQ DX, R10 + ADDQ (176)(REG_P1), R9 // Z10 + MOVQ R9, (80)(REG_P2) // Z10 + ADCQ $0, R10 + ADDQ (184)(REG_P1), R10 // Z11 + MOVQ R10, (88)(REG_P2) // Z11 + RET + +redc_with_mulx_adcx_adox: + // This implements the Montgomery reduction algorithm described in + // section 5.2.3 of https://eprint.iacr.org/2017/1015.pdf. + // This assumes that the BMI2 and ADX instruction set extensions are available. + REDC(0(REG_P2), 0(REG_P1), mul256x448bmi2adx) + RET + +redc_with_mulx: + // This implements the Montgomery reduction algorithm described in + // section 5.2.3 of https://eprint.iacr.org/2017/1015.pdf. + // This assumes that the BMI2 instruction set extension is available. + REDC(0(REG_P2), 0(REG_P1), mul256x448bmi2) + RET + +TEXT ·adlP751(SB), NOSPLIT, $0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + MOVQ (REG_P1), R8 + MOVQ (8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + MOVQ (64)(REG_P1), AX + MOVQ (72)(REG_P1), BX + MOVQ (80)(REG_P1), CX + + ADDQ (REG_P2), R8 + ADCQ (8)(REG_P2), R9 + ADCQ (16)(REG_P2), R10 + ADCQ (24)(REG_P2), R11 + ADCQ (32)(REG_P2), R12 + ADCQ (40)(REG_P2), R13 + ADCQ (48)(REG_P2), R14 + ADCQ (56)(REG_P2), R15 + ADCQ (64)(REG_P2), AX + ADCQ (72)(REG_P2), BX + ADCQ (80)(REG_P2), CX + + MOVQ R8, (REG_P3) + MOVQ R9, (8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + MOVQ AX, (64)(REG_P3) + MOVQ BX, (72)(REG_P3) + MOVQ CX, (80)(REG_P3) + MOVQ (88)(REG_P1), AX + ADCQ (88)(REG_P2), AX + MOVQ AX, (88)(REG_P3) + + MOVQ (96)(REG_P1), R8 + MOVQ (104)(REG_P1), R9 + MOVQ (112)(REG_P1), R10 + MOVQ (120)(REG_P1), R11 + MOVQ (128)(REG_P1), R12 + MOVQ (136)(REG_P1), R13 + MOVQ (144)(REG_P1), R14 + MOVQ (152)(REG_P1), R15 + MOVQ (160)(REG_P1), AX + MOVQ (168)(REG_P1), BX + MOVQ (176)(REG_P1), CX + MOVQ (184)(REG_P1), DI + + ADCQ (96)(REG_P2), R8 + ADCQ (104)(REG_P2), R9 + ADCQ (112)(REG_P2), R10 + ADCQ (120)(REG_P2), R11 + ADCQ (128)(REG_P2), R12 + ADCQ (136)(REG_P2), R13 + ADCQ (144)(REG_P2), R14 + ADCQ (152)(REG_P2), R15 + ADCQ (160)(REG_P2), AX + ADCQ (168)(REG_P2), BX + ADCQ (176)(REG_P2), CX + ADCQ (184)(REG_P2), DI + + MOVQ R8, (96)(REG_P3) + MOVQ R9, (104)(REG_P3) + MOVQ R10, (112)(REG_P3) + MOVQ R11, (120)(REG_P3) + MOVQ R12, (128)(REG_P3) + MOVQ R13, (136)(REG_P3) + MOVQ R14, (144)(REG_P3) + MOVQ R15, (152)(REG_P3) + MOVQ AX, (160)(REG_P3) + MOVQ BX, (168)(REG_P3) + MOVQ CX, (176)(REG_P3) + MOVQ DI, (184)(REG_P3) + + RET + + +TEXT ·sulP751(SB), NOSPLIT, $0-24 + + MOVQ z+0(FP), REG_P3 + MOVQ x+8(FP), REG_P1 + MOVQ y+16(FP), REG_P2 + + MOVQ (REG_P1), R8 + MOVQ (8)(REG_P1), R9 + MOVQ (16)(REG_P1), R10 + MOVQ (24)(REG_P1), R11 + MOVQ (32)(REG_P1), R12 + MOVQ (40)(REG_P1), R13 + MOVQ (48)(REG_P1), R14 + MOVQ (56)(REG_P1), R15 + MOVQ (64)(REG_P1), AX + MOVQ (72)(REG_P1), BX + MOVQ (80)(REG_P1), CX + + SUBQ (REG_P2), R8 + SBBQ (8)(REG_P2), R9 + SBBQ (16)(REG_P2), R10 + SBBQ (24)(REG_P2), R11 + SBBQ (32)(REG_P2), R12 + SBBQ (40)(REG_P2), R13 + SBBQ (48)(REG_P2), R14 + SBBQ (56)(REG_P2), R15 + SBBQ (64)(REG_P2), AX + SBBQ (72)(REG_P2), BX + SBBQ (80)(REG_P2), CX + + MOVQ R8, (REG_P3) + MOVQ R9, (8)(REG_P3) + MOVQ R10, (16)(REG_P3) + MOVQ R11, (24)(REG_P3) + MOVQ R12, (32)(REG_P3) + MOVQ R13, (40)(REG_P3) + MOVQ R14, (48)(REG_P3) + MOVQ R15, (56)(REG_P3) + MOVQ AX, (64)(REG_P3) + MOVQ BX, (72)(REG_P3) + MOVQ CX, (80)(REG_P3) + MOVQ (88)(REG_P1), AX + SBBQ (88)(REG_P2), AX + MOVQ AX, (88)(REG_P3) + + MOVQ (96)(REG_P1), R8 + MOVQ (104)(REG_P1), R9 + MOVQ (112)(REG_P1), R10 + MOVQ (120)(REG_P1), R11 + MOVQ (128)(REG_P1), R12 + MOVQ (136)(REG_P1), R13 + MOVQ (144)(REG_P1), R14 + MOVQ (152)(REG_P1), R15 + MOVQ (160)(REG_P1), AX + MOVQ (168)(REG_P1), BX + MOVQ (176)(REG_P1), CX + MOVQ (184)(REG_P1), DI + + SBBQ (96)(REG_P2), R8 + SBBQ (104)(REG_P2), R9 + SBBQ (112)(REG_P2), R10 + SBBQ (120)(REG_P2), R11 + SBBQ (128)(REG_P2), R12 + SBBQ (136)(REG_P2), R13 + SBBQ (144)(REG_P2), R14 + SBBQ (152)(REG_P2), R15 + SBBQ (160)(REG_P2), AX + SBBQ (168)(REG_P2), BX + SBBQ (176)(REG_P2), CX + SBBQ (184)(REG_P2), DI + + MOVQ R8, (96)(REG_P3) + MOVQ R9, (104)(REG_P3) + MOVQ R10, (112)(REG_P3) + MOVQ R11, (120)(REG_P3) + MOVQ R12, (128)(REG_P3) + MOVQ R13, (136)(REG_P3) + MOVQ R14, (144)(REG_P3) + MOVQ R15, (152)(REG_P3) + MOVQ AX, (160)(REG_P3) + MOVQ BX, (168)(REG_P3) + MOVQ CX, (176)(REG_P3) + MOVQ DI, (184)(REG_P3) + + // Now the carry flag is 1 if x-y < 0. If so, add p*2^768. + MOVQ $0, AX + SBBQ $0, AX + + // Load p into registers: + MOVQ P751_0, R8 + // P751_{1,2,3,4} = P751_0, so reuse R8 + MOVQ P751_5, R9 + MOVQ P751_6, R10 + MOVQ P751_7, R11 + MOVQ P751_8, R12 + MOVQ P751_9, R13 + MOVQ P751_10, R14 + MOVQ P751_11, R15 + + ANDQ AX, R8 + ANDQ AX, R9 + ANDQ AX, R10 + ANDQ AX, R11 + ANDQ AX, R12 + ANDQ AX, R13 + ANDQ AX, R14 + ANDQ AX, R15 + + ADDQ R8, (96 )(REG_P3) + ADCQ R8, (96+ 8)(REG_P3) + ADCQ R8, (96+16)(REG_P3) + ADCQ R8, (96+24)(REG_P3) + ADCQ R8, (96+32)(REG_P3) + ADCQ R9, (96+40)(REG_P3) + ADCQ R10, (96+48)(REG_P3) + ADCQ R11, (96+56)(REG_P3) + ADCQ R12, (96+64)(REG_P3) + ADCQ R13, (96+72)(REG_P3) + ADCQ R14, (96+80)(REG_P3) + ADCQ R15, (96+88)(REG_P3) + + RET + diff --git a/src/circl/dh/sidh/internal/p751/arith_amd64_test.go b/src/circl/dh/sidh/internal/p751/arith_amd64_test.go new file mode 100644 index 00000000000..b87b4ebe338 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/arith_amd64_test.go @@ -0,0 +1,140 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build amd64,!noasm + +package p751 + +import ( + "reflect" + "testing" + "testing/quick" + + "circl/dh/sidh/internal/common" + "internal/cpu" +) + +type OptimFlag uint + +const ( + // Indicates that optimisation which uses MUL instruction should be used + kUse_MUL OptimFlag = 1 << 0 + // Indicates that optimisation which uses MULX instruction should be used + kUse_MULX = 1 << 1 + // Indicates that optimisation which uses MULX, ADOX and ADCX instructions should be used + kUse_MULXandADxX = 1 << 2 +) + +func resetCpuFeatures() { + HasBMI2 = cpu.X86.HasBMI2 + HasADXandBMI2 = cpu.X86.HasBMI2 && cpu.X86.HasADX +} + +// Utility function used for testing Mul implementations. Tests caller provided +// mulFunc against mul() +func testMul(t *testing.T, f1, f2 OptimFlag) { + doMulTest := func(multiplier, multiplicant common.Fp) bool { + defer resetCpuFeatures() + var resMulRef, resMulOptim common.FpX2 + + // Compute multiplier*multiplicant with first implementation + HasBMI2 = (kUse_MULX & f1) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f1) == kUse_MULXandADxX + mulP751(&resMulOptim, &multiplier, &multiplicant) + + // Compute multiplier*multiplicant with second implementation + HasBMI2 = (kUse_MULX & f2) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f2) == kUse_MULXandADxX + mulP751(&resMulRef, &multiplier, &multiplicant) + + // Compare results + return reflect.DeepEqual(resMulRef, resMulOptim) + } + + if err := quick.Check(doMulTest, quickCheckConfig); err != nil { + t.Error(err) + } +} + +// Utility function used for testing REDC implementations. Tests caller provided +// redcFunc against redc() +func testRedc(t *testing.T, f1, f2 OptimFlag) { + doRedcTest := func(aRR common.FpX2) bool { + defer resetCpuFeatures() + var resRedcF1, resRedcF2 common.Fp + var aRRcpy = aRR + + // Compute redc with first implementation + HasBMI2 = (kUse_MULX & f1) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f1) == kUse_MULXandADxX + rdcP751(&resRedcF1, &aRR) + + // Compute redc with second implementation + HasBMI2 = (kUse_MULX & f2) == kUse_MULX + HasADXandBMI2 = (kUse_MULXandADxX & f2) == kUse_MULXandADxX + rdcP751(&resRedcF2, &aRRcpy) + + // Compare results + return reflect.DeepEqual(resRedcF2, resRedcF1) + } + + if err := quick.Check(doRedcTest, quickCheckConfig); err != nil { + t.Error(err) + } +} + +// Ensures correctness of implementation of mul operation which uses MULX +func TestMulWithMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasBMI2 { + t.Skip("MULX not supported by the platform") + } + testMul(t, kUse_MULX, kUse_MUL) +} + +// Ensures correctness of implementation of mul operation which uses MULX and ADOX/ADCX +func TestMulWithMULXADxX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testMul(t, kUse_MULXandADxX, kUse_MUL) +} + +// Ensures correctness of implementation of mul operation which uses MULX and ADOX/ADCX +func TestMulWithMULXADxXAgainstMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testMul(t, kUse_MULX, kUse_MULXandADxX) +} + +// Ensures correctness of Montgomery reduction implementation which uses MULX +func TestRedcWithMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasBMI2 { + t.Skip("MULX not supported by the platform") + } + testRedc(t, kUse_MULX, kUse_MUL) +} + +// Ensures correctness of Montgomery reduction implementation which uses MULX +// and ADCX/ADOX. +func TestRedcWithMULXADxX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testRedc(t, kUse_MULXandADxX, kUse_MUL) +} + +// Ensures correctness of Montgomery reduction implementation which uses MULX +// and ADCX/ADOX. +func TestRedcWithMULXADxXAgainstMULX(t *testing.T) { + defer resetCpuFeatures() + if !HasADXandBMI2 { + t.Skip("MULX, ADCX and ADOX not supported by the platform") + } + testRedc(t, kUse_MULXandADxX, kUse_MULX) +} diff --git a/src/circl/dh/sidh/internal/p751/arith_arm64.s b/src/circl/dh/sidh/internal/p751/arith_arm64.s new file mode 100644 index 00000000000..2c564f91a5f --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/arith_arm64.s @@ -0,0 +1,1478 @@ +// +build arm64,!noasm + +#include "textflag.h" + +TEXT ·cswapP751(SB), NOSPLIT, $0-17 + MOVD x+0(FP), R0 + MOVD y+8(FP), R1 + MOVB choice+16(FP), R2 + + // Set flags + // If choice is not 0 or 1, this implementation will swap completely + CMP $0, R2 + + LDP 0(R0), (R3, R4) + LDP 0(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 0(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 0(R1) + + LDP 16(R0), (R3, R4) + LDP 16(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 16(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 16(R1) + + LDP 32(R0), (R3, R4) + LDP 32(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 32(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 32(R1) + + LDP 48(R0), (R3, R4) + LDP 48(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 48(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 48(R1) + + LDP 64(R0), (R3, R4) + LDP 64(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 64(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 64(R1) + + LDP 80(R0), (R3, R4) + LDP 80(R1), (R5, R6) + CSEL EQ, R3, R5, R7 + CSEL EQ, R4, R6, R8 + STP (R7, R8), 80(R0) + CSEL NE, R3, R5, R9 + CSEL NE, R4, R6, R10 + STP (R9, R10), 80(R1) + + RET + +TEXT ·addP751(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + // Load first summand into R3-R14 + // Add first summand and second summand and store result in R3-R14 + LDP 0(R0), (R3, R4) + LDP 0(R1), (R15, R16) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R17, R19) + ADDS R15, R3 + ADCS R16, R4 + ADCS R17, R5 + ADCS R19, R6 + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R15, R16) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R17, R19) + ADCS R15, R7 + ADCS R16, R8 + ADCS R17, R9 + ADCS R19, R10 + + LDP 64(R0), (R11, R12) + LDP 64(R1), (R15, R16) + LDP 80(R0), (R13, R14) + LDP 80(R1), (R17, R19) + ADCS R15, R11 + ADCS R16, R12 + ADCS R17, R13 + ADC R19, R14 + + // Subtract 2 * p751 in R15-R24 from the result in R3-R14 + LDP ·P751x2+0(SB), (R15, R16) + SUBS R15, R3 + SBCS R16, R4 + LDP ·P751x2+40(SB), (R17, R19) + SBCS R16, R5 + SBCS R16, R6 + SBCS R16, R7 + LDP ·P751x2+56(SB), (R20, R21) + SBCS R17, R8 + SBCS R19, R9 + LDP ·P751x2+72(SB), (R22, R23) + SBCS R20, R10 + SBCS R21, R11 + MOVD ·P751x2+88(SB), R24 + SBCS R22, R12 + SBCS R23, R13 + SBCS R24, R14 + SBC ZR, ZR, R25 + + // If x + y - 2 * p751 < 0, R25 is 1 and 2 * p751 should be added + AND R25, R15 + AND R25, R16 + AND R25, R17 + AND R25, R19 + AND R25, R20 + AND R25, R21 + AND R25, R22 + AND R25, R23 + AND R25, R24 + + ADDS R15, R3 + ADCS R16, R4 + STP (R3, R4), 0(R2) + ADCS R16, R5 + ADCS R16, R6 + STP (R5, R6), 16(R2) + ADCS R16, R7 + ADCS R17, R8 + STP (R7, R8), 32(R2) + ADCS R19, R9 + ADCS R20, R10 + STP (R9, R10), 48(R2) + ADCS R21, R11 + ADCS R22, R12 + STP (R11, R12), 64(R2) + ADCS R23, R13 + ADC R24, R14 + STP (R13, R14), 80(R2) + + RET + +TEXT ·subP751(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + // Load x into R3-R14 + // Subtract y from x and store result in R3-R14 + LDP 0(R0), (R3, R4) + LDP 0(R1), (R15, R16) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R17, R19) + SUBS R15, R3 + SBCS R16, R4 + SBCS R17, R5 + SBCS R19, R6 + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R15, R16) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R17, R19) + SBCS R15, R7 + SBCS R16, R8 + SBCS R17, R9 + SBCS R19, R10 + + LDP 64(R0), (R11, R12) + LDP 64(R1), (R15, R16) + LDP 80(R0), (R13, R14) + LDP 80(R1), (R17, R19) + SBCS R15, R11 + SBCS R16, R12 + SBCS R17, R13 + SBCS R19, R14 + SBC ZR, ZR, R15 + + // If x - y < 0, R15 is 1 and 2 * p751 should be added + LDP ·P751x2+0(SB), (R16, R17) + AND R15, R16 + AND R15, R17 + LDP ·P751x2+40(SB), (R19, R20) + AND R15, R19 + AND R15, R20 + + ADDS R16, R3 + ADCS R17, R4 + STP (R3, R4), 0(R2) + ADCS R17, R5 + ADCS R17, R6 + STP (R5, R6), 16(R2) + ADCS R17, R7 + ADCS R19, R8 + STP (R7, R8), 32(R2) + ADCS R20, R9 + + LDP ·P751x2+56(SB), (R16, R17) + AND R15, R16 + AND R15, R17 + LDP ·P751x2+72(SB), (R19, R20) + AND R15, R19 + AND R15, R20 + + ADCS R16, R10 + STP (R9, R10), 48(R2) + ADCS R17, R11 + ADCS R19, R12 + STP (R11, R12), 64(R2) + ADCS R20, R13 + + MOVD ·P751x2+88(SB), R16 + AND R15, R16 + ADC R16, R14 + STP (R13, R14), 80(R2) + + RET + +TEXT ·adlP751(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + LDP 0(R0), (R3, R4) + LDP 0(R1), (R15, R16) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R17, R19) + ADDS R15, R3 + ADCS R16, R4 + STP (R3, R4), 0(R2) + ADCS R17, R5 + ADCS R19, R6 + STP (R5, R6), 16(R2) + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R15, R16) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R17, R19) + ADCS R15, R7 + ADCS R16, R8 + STP (R7, R8), 32(R2) + ADCS R17, R9 + ADCS R19, R10 + STP (R9, R10), 48(R2) + + LDP 64(R0), (R11, R12) + LDP 64(R1), (R15, R16) + LDP 80(R0), (R13, R14) + LDP 80(R1), (R17, R19) + ADCS R15, R11 + ADCS R16, R12 + STP (R11, R12), 64(R2) + ADCS R17, R13 + ADCS R19, R14 + STP (R13, R14), 80(R2) + + LDP 96(R0), (R3, R4) + LDP 96(R1), (R15, R16) + LDP 112(R0), (R5, R6) + LDP 112(R1), (R17, R19) + ADCS R15, R3 + ADCS R16, R4 + STP (R3, R4), 96(R2) + ADCS R17, R5 + ADCS R19, R6 + STP (R5, R6), 112(R2) + + LDP 128(R0), (R7, R8) + LDP 128(R1), (R15, R16) + LDP 144(R0), (R9, R10) + LDP 144(R1), (R17, R19) + ADCS R15, R7 + ADCS R16, R8 + STP (R7, R8), 128(R2) + ADCS R17, R9 + ADCS R19, R10 + STP (R9, R10), 144(R2) + + LDP 160(R0), (R11, R12) + LDP 160(R1), (R15, R16) + LDP 176(R0), (R13, R14) + LDP 176(R1), (R17, R19) + ADCS R15, R11 + ADCS R16, R12 + STP (R11, R12), 160(R2) + ADCS R17, R13 + ADC R19, R14 + STP (R13, R14), 176(R2) + + RET + +TEXT ·sulP751(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + LDP 0(R0), (R3, R4) + LDP 0(R1), (R15, R16) + LDP 16(R0), (R5, R6) + LDP 16(R1), (R17, R19) + SUBS R15, R3 + SBCS R16, R4 + STP (R3, R4), 0(R2) + SBCS R17, R5 + SBCS R19, R6 + STP (R5, R6), 16(R2) + + LDP 32(R0), (R7, R8) + LDP 32(R1), (R15, R16) + LDP 48(R0), (R9, R10) + LDP 48(R1), (R17, R19) + SBCS R15, R7 + SBCS R16, R8 + STP (R7, R8), 32(R2) + SBCS R17, R9 + SBCS R19, R10 + STP (R9, R10), 48(R2) + + LDP 64(R0), (R11, R12) + LDP 64(R1), (R15, R16) + LDP 80(R0), (R13, R14) + LDP 80(R1), (R17, R19) + SBCS R15, R11 + SBCS R16, R12 + STP (R11, R12), 64(R2) + SBCS R17, R13 + SBCS R19, R14 + STP (R13, R14), 80(R2) + + LDP 96(R0), (R3, R4) + LDP 96(R1), (R15, R16) + LDP 112(R0), (R5, R6) + LDP 112(R1), (R17, R19) + SBCS R15, R3 + SBCS R16, R4 + SBCS R17, R5 + SBCS R19, R6 + + LDP 128(R0), (R7, R8) + LDP 128(R1), (R15, R16) + LDP 144(R0), (R9, R10) + LDP 144(R1), (R17, R19) + SBCS R15, R7 + SBCS R16, R8 + SBCS R17, R9 + SBCS R19, R10 + + LDP 160(R0), (R11, R12) + LDP 160(R1), (R15, R16) + LDP 176(R0), (R13, R14) + LDP 176(R1), (R17, R19) + SBCS R15, R11 + SBCS R16, R12 + SBCS R17, R13 + SBCS R19, R14 + SBC ZR, ZR, R15 + + // If x - y < 0, R15 is 1 and p751 should be added + MOVD ·P751+0(SB), R20 + AND R15, R20 + LDP ·P751+40(SB), (R16, R17) + ADDS R20, R3 + ADCS R20, R4 + STP (R3, R4), 96(R2) + ADCS R20, R5 + ADCS R20, R6 + STP (R5, R6), 112(R2) + ADCS R20, R7 + + LDP ·P751+56(SB), (R19, R20) + AND R15, R16 + AND R15, R17 + ADCS R16, R8 + STP (R7, R8), 128(R2) + ADCS R17, R9 + + LDP ·P751+72(SB), (R16, R17) + AND R15, R19 + AND R15, R20 + ADCS R19, R10 + STP (R9, R10), 144(R2) + ADCS R20, R11 + + MOVD ·P751+88(SB), R19 + AND R15, R16 + AND R15, R17 + ADCS R16, R12 + STP (R11, R12), 160(R2) + ADCS R17, R13 + + AND R15, R19 + ADC R19, R14 + STP (R13, R14), 176(R2) + + RET + +// Expects that X0*Y0 is already in Z0(low),Z3(high) and X0*Y1 in Z1(low),Z2(high) +// Z0 is not actually touched +// Result of (X0-X2) * (Y0-Y2) will be in Z0-Z5 +// Inputs remain intact +#define mul192x192comba(X0, X1, X2, Y0, Y1, Y2, Z0, Z1, Z2, Z3, Z4, Z5, T0, T1, T2, T3) \ + MUL X1, Y0, T2 \ + UMULH X1, Y0, T3 \ + \ + ADDS Z3, Z1 \ + ADCS ZR, Z2 \ + ADC ZR, ZR, Z3 \ + \ + MUL X0, Y2, T0 \ + UMULH X0, Y2, T1 \ + \ + ADDS T2, Z1 \ + ADCS T3, Z2 \ + ADC ZR, Z3 \ + \ + MUL X1, Y1, T2 \ + UMULH X1, Y1, T3 \ + \ + ADDS T0, Z2 \ + ADCS T1, Z3 \ + ADC ZR, ZR, Z4 \ + \ + MUL X2, Y0, T0 \ + UMULH X2, Y0, T1 \ + \ + ADDS T2, Z2 \ + ADCS T3, Z3 \ + ADC ZR, Z4 \ + \ + MUL X1, Y2, T2 \ + UMULH X1, Y2, T3 \ + \ + ADDS T0, Z2 \ + ADCS T1, Z3 \ + ADC ZR, Z4 \ + \ + MUL X2, Y1, T0 \ + UMULH X2, Y1, T1 \ + \ + ADDS T2, Z3 \ + ADCS T3, Z4 \ + ADC ZR, ZR, Z5 \ + \ + MUL X2, Y2, T2 \ + UMULH X2, Y2, T3 \ + \ + ADDS T0, Z3 \ + ADCS T1, Z4 \ + ADC ZR, Z5 \ + \ + ADDS T2, Z4 \ + ADC T3, Z5 + +// Expects that X points to (X4-X6), Y to (Y4-Y6) +// Result of (X0-X5) * (Y0-Y5) will be in (0(Z), 8(Z), 16(Z), T0-T8) +// Inputs get overwritten +#define mul384x384karatsuba(X, Y, Z, X0, X1, X2, X3, X4, X5, Y0, Y1, Y2, Y3, Y4, Y5, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10)\ + ADDS X0, X3 \ // xH + xL, destroys xH + ADCS X1, X4 \ + ADCS X2, X5 \ + ADC ZR, ZR, T10 \ + \ + ADDS Y0, Y3 \ // yH + yL, destroys yH + ADCS Y1, Y4 \ + ADCS Y2, Y5 \ + ADC ZR, ZR, T6 \ + \ + SUB T10, ZR, T7 \ + SUB T6, ZR, T8 \ + AND T6, T10 \ // combined carry + \ + AND T7, Y3, T0 \ // masked(yH + yL) + AND T7, Y4, T1 \ + AND T7, Y5, T2 \ + \ + AND T8, X3, T3 \ // masked(xH + xL) + AND T8, X4, T4 \ + AND T8, X5, T5 \ + \ + ADDS T3, T0 \ + ADCS T4, T1 \ + STP (T0, T1), 0+Z \ + \ + MUL X3, Y3, T0 \ + MUL X3, Y4, T1 \ + \ + ADCS T5, T2 \ + MOVD T2, 16+Z \ + \ + UMULH X3, Y4, T2 \ + UMULH X3, Y3, T3 \ + \ + ADC ZR, T10 \ + \ // (xH + xL) * (yH + yL) + mul192x192comba(X3, X4, X5, Y3, Y4, Y5, T0, T1, T2, T3, T4, T5, T6, T7, T8, T9)\ + \ + MUL X0, Y0, X3 \ + LDP 0+Z, (T6, T7) \ + MOVD 16+Z, T8 \ + \ + UMULH X0, Y0, Y3 \ + ADDS T6, T3 \ + ADCS T7, T4 \ + MUL X0, Y1, X4 \ + ADCS T8, T5 \ + ADC ZR, T10 \ + UMULH X0, Y1, X5 \ + \ // xL * yL + mul192x192comba(X0, X1, X2, Y0, Y1, Y2, X3, X4, X5, Y3, Y4, Y5, T6, T7, T8, T9)\ + \ + STP (X3, X4), 0+Z \ + MOVD X5, 16+Z \ + \ + SUBS X3, T0 \ // (xH + xL) * (yH + yL) - xL * yL + SBCS X4, T1 \ + LDP 0+X, (X3, X4) \ + SBCS X5, T2 \ + MOVD 16+X, X5 \ + SBCS Y3, T3 \ + SBCS Y4, T4 \ + SBCS Y5, T5 \ + SBC ZR, T10 \ + \ + ADDS Y3, T0 \ // ((xH + xL) * (yH + yL) - xL * yL) * 2^192 + xL * yL + ADCS Y4, T1 \ + LDP 0+Y, (Y3, Y4) \ + MUL X3, Y3, X0 \ + ADCS Y5, T2 \ + UMULH X3, Y3, Y0 \ + MOVD 16+Y, Y5 \ + MUL X3, Y4, X1 \ + ADCS ZR, T3 \ + UMULH X3, Y4, X2 \ + ADCS ZR, T4 \ + ADCS ZR, T5 \ + ADC ZR, T10 \ + \ // xH * yH, overwrite xLow, yLow + mul192x192comba(X3, X4, X5, Y3, Y4, Y5, X0, X1, X2, Y0, Y1, Y2, T6, T7, T8, T9)\ + \ + SUBS X0, T0 \ // ((xH + xL) * (yH + yL) - xL * yL - xH * yH) + SBCS X1, T1 \ + SBCS X2, T2 \ + SBCS Y0, T3 \ + SBCS Y1, T4 \ + SBCS Y2, T5 \ + SBC ZR, T10 \ + \ + ADDS X0, T3 \ + ADCS X1, T4 \ + ADCS X2, T5 \ + ADCS T10, Y0, T6 \ + ADCS ZR, Y1, T7 \ + ADC ZR, Y2, T8 + + +TEXT ·mulP751(SB), NOSPLIT, $0-24 + MOVD z+0(FP), R2 + MOVD x+8(FP), R0 + MOVD y+16(FP), R1 + + // Load xL in R3-R8, xH in R9-R14 + // (xH + xL) in R3-R8, destroys xH + LDP 0(R0), (R3, R4) + LDP 48(R0), (R9, R10) + ADDS R9, R3 + ADCS R10, R4 + LDP 16(R0), (R5, R6) + LDP 64(R0), (R11, R12) + ADCS R11, R5 + ADCS R12, R6 + LDP 32(R0), (R7, R8) + LDP 80(R0), (R13, R14) + ADCS R13, R7 + ADCS R14, R8 + ADC ZR, ZR, R22 + + // Load yL in R9-R14, yH in R15-21 + // (yH + yL) in R9-R14, destroys yH + LDP 0(R1), (R9, R10) + LDP 48(R1), (R15, R16) + ADDS R15, R9 + ADCS R16, R10 + LDP 16(R1), (R11, R12) + LDP 64(R1), (R17, R19) + ADCS R17, R11 + ADCS R19, R12 + LDP 32(R1), (R13, R14) + LDP 80(R1), (R20, R21) + ADCS R20, R13 + ADCS R21, R14 + ADC ZR, ZR, R23 + + // Compute masks and combined carry + SUB R22, ZR, R24 + SUB R23, ZR, R25 + AND R23, R22 + + // Store xH, yH in z so mul384x384karatsuba can retrieve them from memory + // It doesn't have enough registers + // Meanwhile computed masked(xH + xL) in R15-R21 + STP (R6, R7), 0(R2) + AND R25, R3, R15 + AND R25, R4, R16 + STP (R8, R12), 16(R2) + AND R25, R5, R17 + AND R25, R6, R19 + STP (R13, R14), 32(R2) + AND R25, R7, R20 + AND R25, R8, R21 + + // Masked(xH + xL) + masked(yH + yL) in R15-R21 + // Store intermediate values in z + AND R24, R9, R25 + AND R24, R10, R26 + ADDS R25, R15 + ADCS R26, R16 + STP (R15, R16), 96(R2) + AND R24, R11, R25 + AND R24, R12, R26 + ADCS R25, R17 + ADCS R26, R19 + STP (R17, R19), 112(R2) + AND R24, R13, R25 + AND R24, R14, R26 + ADCS R25, R20 + ADCS R26, R21 + STP (R20, R21), 128(R2) + // Store carry in R29 so it can remain there + ADC ZR, R22, R29 + + // (xH + xL) * (yH + yL) + mul384x384karatsuba(0(R2), 24(R2), 48(R2), R3, R4, R5, R6, R7, R8, R9, R10, R11, R12, R13, R14, R15, R16, R17, R19, R20, R21, R22, R23, R24, R25, R26) + + // Load masked(xH + xL) + masked(yH + yL) and add that to its top half + // Store the result back in z + STP (R15, R16), 72(R2) + LDP 96(R2), (R3, R4) + ADDS R3, R19 + STP (R17, R19), 88(R2) + ADCS R4, R20 + LDP 112(R2), (R5, R6) + ADCS R5, R21 + STP (R20, R21), 104(R2) + ADCS R6, R22 + LDP 128(R2), (R7, R8) + ADCS R7, R23 + STP (R22, R23), 120(R2) + ADCS R8, R24 + MOVD R24, 136(R2) + ADC ZR, R29 + + // Load xL, yL + LDP 0(R0), (R3, R4) + LDP 16(R0), (R5, R6) + LDP 32(R0), (R7, R8) + LDP 0(R1), (R9, R10) + LDP 16(R1), (R11, R12) + LDP 32(R1), (R13, R14) + + // xL * yL + mul384x384karatsuba(24(R0), 24(R1), 0(R2), R3, R4, R5, R6, R7, R8, R9, R10, R11, R12, R13, R14, R15, R16, R17, R19, R20, R21, R22, R23, R24, R25, R26) + + // (xH + xL) * (yH + yL) - xL * yL in R3-R14 + LDP 0(R2), (R12, R13) + LDP 48(R2), (R3, R4) + SUBS R12, R3 + LDP 64(R2), (R5, R6) + MOVD 16(R2), R14 + SBCS R13, R4 + SBCS R14, R5 + LDP 80(R2), (R7, R8) + SBCS R15, R6 + SBCS R16, R7 + LDP 96(R2), (R9, R10) + SBCS R17, R8 + SBCS R19, R9 + LDP 112(R2), (R11, R12) + SBCS R20, R10 + SBCS R21, R11 + LDP 128(R2), (R13, R14) + SBCS R22, R12 + SBCS R23, R13 + SBCS R24, R14 + SBC ZR, R29 + + STP (R15, R16), 24(R2) + MOVD R17, 40(R2) + + // ((xH + xL) * (yH + yL) - xL * yL) * 2^384 + xL * yL and store back in z + ADDS R19, R3 + ADCS R20, R4 + STP (R3, R4), 48(R2) + ADCS R21, R5 + ADCS R22, R6 + STP (R5, R6), 64(R2) + ADCS R23, R7 + ADCS R24, R8 + STP (R7, R8), 80(R2) + ADCS ZR, R9 + ADCS ZR, R10 + STP (R9, R10), 96(R2) + ADCS ZR, R11 + ADCS ZR, R12 + STP (R11, R12), 112(R2) + ADCS ZR, R13 + ADCS ZR, R14 + STP (R13, R14), 128(R2) + ADC ZR, R29 + + // Load xH, yH + LDP 48(R0), (R3, R4) + LDP 64(R0), (R5, R6) + LDP 80(R0), (R7, R8) + LDP 48(R1), (R9, R10) + LDP 64(R1), (R11, R12) + LDP 80(R1), (R13, R14) + + // xH * yH + mul384x384karatsuba(72(R0), 72(R1), 144(R2), R3, R4, R5, R6, R7, R8, R9, R10, R11, R12, R13, R14, R15, R16, R17, R19, R20, R21, R22, R23, R24, R25, R26) + + LDP 144(R2), (R12, R13) + MOVD 160(R2), R14 + + // (xH + xL) * (yH + yL) - xL * yL - xH * yH in R3-R14 + // Store lower half in z, that's done + LDP 48(R2), (R3, R4) + SUBS R12, R3 + LDP 64(R2), (R5, R6) + SBCS R13, R4 + SBCS R14, R5 + LDP 80(R2), (R7, R8) + SBCS R15, R6 + SBCS R16, R7 + LDP 96(R2), (R9, R10) + SBCS R17, R8 + SBCS R19, R9 + LDP 112(R2), (R11, R12) + SBCS R20, R10 + SBCS R21, R11 + LDP 128(R2), (R13, R14) + SBCS R22, R12 + SBCS R23, R13 + STP (R3, R4), 48(R2) + SBCS R24, R14 + STP (R5, R6), 64(R2) + SBC ZR, R29 + STP (R7, R8), 80(R2) + + // (xH * yH) * 2^768 + ((xH + xL) * (yH + yL) - xL * yL - xH * yH) * 2^384 + xL * yL + // Store remaining limbs in z + LDP 144(R2), (R3, R4) + MOVD 160(R2), R5 + + ADDS R3, R9 + ADCS R4, R10 + STP (R9, R10), 96(R2) + ADCS R5, R11 + ADCS R15, R12 + STP (R11, R12), 112(R2) + ADCS R16, R13 + ADCS R17, R14 + STP (R13, R14), 128(R2) + + ADCS R29, R19 + ADCS ZR, R20 + STP (R19, R20), 144(R2) + ADCS ZR, R21 + ADCS ZR, R22 + STP (R21, R22), 160(R2) + ADCS ZR, R23 + ADC ZR, R24 + STP (R23, R24), 176(R2) + + RET + +TEXT ·rdcP751(SB), NOSPLIT, $0-16 + MOVD z+0(FP), R0 + MOVD x+8(FP), R1 + + // Load p751+1 in R14-R17, R29, R19-R20, spread over arithmetic + LDP ·P751p1+40(SB), (R14, R15) + // z0-z11 will be R2-R13 + // Load x0-x4 to z0-z4 and x5, spread over arithmetic + LDP 0(R1), (R2, R3) + + // x5 iteration + MUL R2, R14, R22 + LDP 32(R1), (R6, R21) + UMULH R2, R14, R23 + ADDS R21, R22, R7 // Set z5 + ADC ZR, R23, R25 + + // x6 iteration + MUL R2, R15, R22 + MOVD 48(R1), R21 + UMULH R2, R15, R23 + ADDS R22, R25 + ADC R23, ZR, R26 + + MUL R3, R14, R22 + LDP ·P751p1+56(SB), (R16, R17) + UMULH R3, R14, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, ZR, R24 + + ADDS R21, R25, R8 // Set z6 + ADCS ZR, R26 + ADC ZR, R24 + + // x7 iteration + MUL R2, R16, R22 + MOVD 56(R1), R21 + UMULH R2, R16, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, ZR, R25 + + MUL R3, R15, R22 + LDP 16(R1), (R4, R5) + UMULH R3, R15, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R4, R14, R22 + LDP ·P751p1+72(SB), (R29, R19) + UMULH R4, R14, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + ADDS R21, R26, R9 // Set z7 + ADCS ZR, R24 + ADC ZR, R25 + + // x8 iteration + MUL R2, R17, R22 + MOVD 64(R1), R21 + UMULH R2, R17, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, ZR, R26 + + MUL R3, R16, R22 + MOVD ·P751p1+88(SB), R20 + UMULH R3, R16, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R4, R15, R22 + UMULH R4, R15, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R5, R14, R22 + UMULH R5, R14, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + ADDS R24, R21, R10 // Set z8 + ADCS ZR, R25 + ADC ZR, R26 + + // x9 iteration + MUL R2, R29, R22 + MOVD 72(R1), R21 + UMULH R2, R29, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, ZR, R24 + + MUL R3, R17, R22 + UMULH R3, R17, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R4, R16, R22 + UMULH R4, R16, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R5, R15, R22 + UMULH R5, R15, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R6, R14, R22 + UMULH R6, R14, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + ADDS R21, R25, R11 // Set z9 + ADCS ZR, R26 + ADC ZR, R24 + + // x10 iteration + MUL R2, R19, R22 + MOVD 80(R1), R21 + UMULH R2, R19, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, ZR, R25 + + MUL R3, R29, R22 + UMULH R3, R29, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R4, R17, R22 + UMULH R4, R17, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R5, R16, R22 + UMULH R5, R16, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R6, R15, R22 + UMULH R6, R15, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R7, R14, R22 + UMULH R7, R14, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + ADDS R21, R26, R12 // Set z10 + ADCS ZR, R24 + ADC ZR, R25 + + // x11 iteration + MUL R2, R20, R22 + MOVD 88(R1), R21 + UMULH R2, R20, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, ZR, R26 + + MUL R3, R19, R22 + UMULH R3, R19, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R4, R29, R22 + UMULH R4, R29, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R5, R17, R22 + UMULH R5, R17, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R6, R16, R22 + UMULH R6, R16, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R7, R15, R22 + UMULH R7, R15, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R8, R14, R22 + UMULH R8, R14, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + ADDS R21, R24, R13 // Set z11 + ADCS ZR, R25 + ADC ZR, R26 + + // x12 iteration + MUL R3, R20, R22 + MOVD 96(R1), R21 + UMULH R3, R20, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, ZR, R24 + + MUL R4, R19, R22 + UMULH R4, R19, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R5, R29, R22 + UMULH R5, R29, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R6, R17, R22 + UMULH R6, R17, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R7, R16, R22 + UMULH R7, R16, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R8, R15, R22 + UMULH R8, R15, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R9, R14, R22 + UMULH R9, R14, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + ADDS R21, R25, R2 // Set z0 + ADCS ZR, R26 + ADC ZR, R24 + + // x13 iteration + MUL R4, R20, R22 + MOVD 104(R1), R21 + UMULH R4, R20, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, ZR, R25 + + MUL R5, R19, R22 + UMULH R5, R19, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R6, R29, R22 + UMULH R6, R29, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R7, R17, R22 + UMULH R7, R17, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R8, R16, R22 + UMULH R8, R16, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R9, R15, R22 + UMULH R9, R15, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R10, R14, R22 + UMULH R10, R14, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + ADDS R21, R26, R3 // Set z1 + STP (R2, R3), 0(R0) + ADCS ZR, R24 + ADC ZR, R25 + + // x14 iteration + MUL R5, R20, R22 + MOVD 112(R1), R21 + UMULH R5, R20, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, ZR, R26 + + MUL R6, R19, R22 + UMULH R6, R19, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R7, R29, R22 + UMULH R7, R29, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R8, R17, R22 + UMULH R8, R17, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R9, R16, R22 + UMULH R9, R16, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R10, R15, R22 + UMULH R10, R15, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R11, R14, R22 + UMULH R11, R14, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + ADDS R21, R24, R4 // Set z2 + ADCS ZR, R25 + ADC ZR, R26 + + // x15 iteration + MUL R6, R20, R22 + MOVD 120(R1), R21 + UMULH R6, R20, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, ZR, R24 + + MUL R7, R19, R22 + UMULH R7, R19, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R8, R29, R22 + UMULH R8, R29, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R9, R17, R22 + UMULH R9, R17, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R10, R16, R22 + UMULH R10, R16, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R11, R15, R22 + UMULH R11, R15, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R12, R14, R22 + UMULH R12, R14, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + ADDS R21, R25, R5 // Set z3 + STP (R4, R5), 16(R0) + ADCS ZR, R26 + ADC ZR, R24 + + // x16 iteration + MUL R7, R20, R22 + MOVD 128(R1), R21 + UMULH R7, R20, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, ZR, R25 + + MUL R8, R19, R22 + UMULH R8, R19, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R9, R29, R22 + UMULH R9, R29, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R10, R17, R22 + UMULH R10, R17, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R11, R16, R22 + UMULH R11, R16, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R12, R15, R22 + UMULH R12, R15, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R13, R14, R22 + UMULH R13, R14, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + ADDS R21, R26, R6 // Set z4 + ADCS ZR, R24 + ADC ZR, R25 + + // x17 iteration + MUL R8, R20, R22 + MOVD 136(R1), R21 + UMULH R8, R20, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, ZR, R26 + + MUL R9, R19, R22 + UMULH R9, R19, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R10, R29, R22 + UMULH R10, R29, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R11, R17, R22 + UMULH R11, R17, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R12, R16, R22 + UMULH R12, R16, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R13, R15, R22 + UMULH R13, R15, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + ADDS R21, R24, R7 // Set z5 + STP (R6, R7), 32(R0) + ADCS ZR, R25 + ADC ZR, R26 + + // x18 iteration + MUL R9, R20, R22 + MOVD 144(R1), R21 + UMULH R9, R20, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, ZR, R24 + + MUL R10, R19, R22 + UMULH R10, R19, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R11, R29, R22 + UMULH R11, R29, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R12, R17, R22 + UMULH R12, R17, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + MUL R13, R16, R22 + UMULH R13, R16, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + ADDS R21, R25, R8 // Set z6 + ADCS ZR, R26 + ADC ZR, R24 + + // x19 iteration + MUL R10, R20, R22 + MOVD 152(R1), R21 + UMULH R10, R20, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, ZR, R25 + + MUL R11, R19, R22 + UMULH R11, R19, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R12, R29, R22 + UMULH R12, R29, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + MUL R13, R17, R22 + UMULH R13, R17, R23 + ADDS R22, R26 + ADCS R23, R24 + ADC ZR, R25 + + ADDS R21, R26, R9 // Set z7 + STP (R8, R9), 48(R0) + ADCS ZR, R24 + ADC ZR, R25 + + // x20 iteration + MUL R11, R20, R22 + MOVD 160(R1), R21 + UMULH R11, R20, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, ZR, R26 + + MUL R12, R19, R22 + UMULH R12, R19, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + MUL R13, R29, R22 + UMULH R13, R29, R23 + ADDS R22, R24 + ADCS R23, R25 + ADC ZR, R26 + + ADDS R21, R24, R10 // Set z8 + ADCS ZR, R25 + ADC ZR, R26 + + // x21 iteration + MUL R12, R20, R22 + MOVD 168(R1), R21 + UMULH R12, R20, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, ZR, R24 + + MUL R13, R19, R22 + UMULH R13, R19, R23 + ADDS R22, R25 + ADCS R23, R26 + ADC ZR, R24 + + ADDS R21, R25, R11 // Set z9 + STP (R10, R11), 64(R0) + ADCS ZR, R26 + ADC ZR, R24 + + // x22 iteration + MUL R13, R20, R22 + MOVD 176(R1), R21 + UMULH R13, R20, R23 + ADDS R22, R26 + ADC R23, R24 + ADDS R21, R26, R12 // Set z10 + + MOVD 184(R1), R21 + ADC R21, R24, R13 // Set z11 + STP (R12, R13), 80(R0) + + RET + +TEXT ·modP751(SB), NOSPLIT, $0-8 + MOVD x+0(FP), R0 + + // Keep x in R1-R12, p751 in R13-R21, subtract to R1-R12 + MOVD ·P751+0(SB), R13 + LDP 0(R0), (R1, R2) + LDP 16(R0), (R3, R4) + SUBS R13, R1 + SBCS R13, R2 + + LDP 32(R0), (R5, R6) + LDP ·P751+40(SB), (R14, R15) + SBCS R13, R3 + SBCS R13, R4 + + LDP 48(R0), (R7, R8) + LDP ·P751+56(SB), (R16, R17) + SBCS R13, R5 + SBCS R14, R6 + + LDP 64(R0), (R9, R10) + LDP ·P751+72(SB), (R19, R20) + SBCS R15, R7 + SBCS R16, R8 + + LDP 80(R0), (R11, R12) + MOVD ·P751+88(SB), R21 + SBCS R17, R9 + SBCS R19, R10 + + SBCS R20, R11 + SBCS R21, R12 + SBC ZR, ZR, R22 + + // Mask with the borrow and add p751 + AND R22, R13 + AND R22, R14 + AND R22, R15 + AND R22, R16 + AND R22, R17 + AND R22, R19 + AND R22, R20 + AND R22, R21 + + ADDS R13, R1 + ADCS R13, R2 + STP (R1, R2), 0(R0) + ADCS R13, R3 + ADCS R13, R4 + STP (R3, R4), 16(R0) + ADCS R13, R5 + ADCS R14, R6 + STP (R5, R6), 32(R0) + ADCS R15, R7 + ADCS R16, R8 + STP (R7, R8), 48(R0) + ADCS R17, R9 + ADCS R19, R10 + STP (R9, R10), 64(R0) + ADCS R20, R11 + ADC R21, R12 + STP (R11, R12), 80(R0) + + RET diff --git a/src/circl/dh/sidh/internal/p751/arith_decl.go b/src/circl/dh/sidh/internal/p751/arith_decl.go new file mode 100644 index 00000000000..1cc19624bf5 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/arith_decl.go @@ -0,0 +1,45 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build amd64,!noasm arm64,!noasm + +package p751 + +import ( + . "circl/dh/sidh/internal/common" +) + +// If choice = 0, leave x,y unchanged. If choice = 1, set x,y = y,x. +// If choice is neither 0 nor 1 then behaviour is undefined. +// This function executes in constant time. +//go:noescape +func cswapP751(x, y *Fp, choice uint8) + +// Compute z = x + y (mod p). +//go:noescape +func addP751(z, x, y *Fp) + +// Compute z = x - y (mod p). +//go:noescape +func subP751(z, x, y *Fp) + +// Compute z = x + y, without reducing mod p. +//go:noescape +func adlP751(z, x, y *FpX2) + +// Compute z = x - y, without reducing mod p. +//go:noescape +func sulP751(z, x, y *FpX2) + +// Reduce a field element in [0, 2*p) to one in [0,p). +//go:noescape +func modP751(x *Fp) + +// Computes z = x * y. +//go:noescape +func mulP751(z *FpX2, x, y *Fp) + +// Computes the Montgomery reduction z = x R^{-1} (mod 2*p). On return value +// of x may be changed. z=x not allowed. +//go:noescape +func rdcP751(z *Fp, x *FpX2) diff --git a/src/circl/dh/sidh/internal/p751/arith_generic.go b/src/circl/dh/sidh/internal/p751/arith_generic.go new file mode 100644 index 00000000000..d4a31841b75 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/arith_generic.go @@ -0,0 +1,192 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build noasm !amd64,!arm64 + +package p751 + +import ( + "math/bits" + + "circl/dh/sidh/internal/common" +) + +// Compute z = x + y (mod p). +func addP751(z, x, y *common.Fp) { + var carry uint64 + + // z=x+y % P751 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } + + // z = z - P751x2 + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Sub64(z[i], P751x2[i], carry) + } + + // if z<0 add P751x2 back + mask := uint64(0 - carry) + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(z[i], P751x2[i]&mask, carry) + } +} + +// Compute z = x - y (mod p). +func subP751(z, x, y *common.Fp) { + var borrow uint64 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + mask := uint64(0 - borrow) + borrow = 0 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Add64(z[i], P751x2[i]&mask, borrow) + } +} + +// Conditionally swaps bits in x and y in constant time. +// mask indicates bits to be swapped (set bits are swapped) +// For details see "Hackers Delight, 2.20" +// +// Implementation doesn't actually depend on a prime field. +func cswapP751(x, y *common.Fp, mask uint8) { + var tmp, mask64 uint64 + + mask64 = 0 - uint64(mask) + for i := 0; i < FpWords; i++ { + tmp = mask64 & (x[i] ^ y[i]) + x[i] = tmp ^ x[i] + y[i] = tmp ^ y[i] + } +} + +// Perform Montgomery reduction: set z = x R^{-1} (mod 2*p) +// with R=2^(FpWords*64). Destroys the input value. +func rdcP751(z *common.Fp, x *common.FpX2) { + var carry, t, u, v uint64 + var hi, lo uint64 + var count int + + count = P751p1Zeros + + for i := 0; i < FpWords; i++ { + for j := 0; j < i; j++ { + if j < (i - count + 1) { + hi, lo = bits.Mul64(z[j], P751p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + t += carry + + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < 2*FpWords-1; i++ { + if count > 0 { + count-- + } + for j := i - FpWords + 1; j < FpWords; j++ { + if j < (FpWords - count) { + hi, lo = bits.Mul64(z[j], P751p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + + t += carry + z[i-FpWords] = v + v = u + u = t + t = 0 + } + v, _ = bits.Add64(v, x[2*FpWords-1], 0) + z[FpWords-1] = v +} + +// Compute z = x * y. +func mulP751(z *common.FpX2, x, y *common.Fp) { + var u, v, t uint64 + var hi, lo uint64 + var carry uint64 + + for i := uint64(0); i < FpWords; i++ { + for j := uint64(0); j <= i; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < (2*FpWords)-1; i++ { + for j := i - FpWords + 1; j < FpWords; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + z[2*FpWords-1] = v +} + +// Compute z = x + y, without reducing mod p. +func adlP751(z, x, y *common.FpX2) { + var carry uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } +} + +// Reduce a field element in [0, 2*p) to one in [0,p). +func modP751(x *common.Fp) { + var borrow, mask uint64 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Sub64(x[i], P751[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Add64(x[i], P751[i]&mask, borrow) + } +} + +// Compute z = x - y, without reducing mod p. +func sulP751(z, x, y *common.FpX2) { + var borrow, mask uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := FpWords; i < 2*FpWords; i++ { + z[i], borrow = bits.Add64(z[i], P751[i-FpWords]&mask, borrow) + } +} diff --git a/src/circl/dh/sidh/internal/p751/arith_test.go b/src/circl/dh/sidh/internal/p751/arith_test.go new file mode 100644 index 00000000000..49b11654eb3 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/arith_test.go @@ -0,0 +1,101 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p751 + +import ( + "testing" + + "circl/dh/sidh/internal/common" +) + +// Package-level storage for this field element is intended to deter +// compiler optimizations. +var ( + benchmarkFp common.Fp + benchmarkFpX2 common.FpX2 + bench_x = common.Fp{17026702066521327207, 5108203422050077993, 10225396685796065916, 11153620995215874678, 6531160855165088358, 15302925148404145445, 1248821577836769963, 9789766903037985294, 7493111552032041328, 10838999828319306046, 18103257655515297935, 27403304611634} + bench_y = common.Fp{4227467157325093378, 10699492810770426363, 13500940151395637365, 12966403950118934952, 16517692605450415877, 13647111148905630666, 14223628886152717087, 7167843152346903316, 15855377759596736571, 4300673881383687338, 6635288001920617779, 30486099554235} + bench_z = common.FpX2{1595347748594595712, 10854920567160033970, 16877102267020034574, 12435724995376660096, 3757940912203224231, 8251999420280413600, 3648859773438820227, 17622716832674727914, 11029567000887241528, 11216190007549447055, 17606662790980286987, 4720707159513626555, 12887743598335030915, 14954645239176589309, 14178817688915225254, 1191346797768989683, 12629157932334713723, 6348851952904485603, 16444232588597434895, 7809979927681678066, 14642637672942531613, 3092657597757640067, 10160361564485285723, 240071237} +) + +func TestFpCswap(t *testing.T) { + var one = common.Fp{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1} + var two = common.Fp{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2} + + var x = one + var y = two + + cswapP751(&x, &y, 0) + for i := 0; i < FpWords; i++ { + if (x[i] != one[i]) || (y[i] != two[i]) { + t.Error("Found", x, "expected", two) + } + } + + cswapP751(&x, &y, 1) + for i := 0; i < FpWords; i++ { + if (x[i] != two[i]) || (y[i] != one[i]) { + t.Error("Found", x, "expected", two) + } + } +} + +// Benchmarking for field arithmetic +func BenchmarkMul(b *testing.B) { + for n := 0; n < b.N; n++ { + mulP751(&benchmarkFpX2, &bench_x, &bench_y) + } +} + +func BenchmarkRdc(b *testing.B) { + z := bench_z + + // This benchmark actually computes garbage, because + // rdcP751 mangles its input, but since it's + // constant-time that shouldn't matter for the benchmarks. + for n := 0; n < b.N; n++ { + rdcP751(&benchmarkFp, &z) + } +} + +func BenchmarkAdd(b *testing.B) { + for n := 0; n < b.N; n++ { + addP751(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkSub(b *testing.B) { + for n := 0; n < b.N; n++ { + subP751(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkCswap(b *testing.B) { + x, y := bench_x, bench_y + for n := 0; n < b.N; n++ { + cswapP751(&x, &y, 1) + cswapP751(&x, &y, 0) + } +} + +func BenchmarkMod(b *testing.B) { + x := bench_x + for n := 0; n < b.N; n++ { + modP751(&x) + } +} + +func BenchmarkX2AddLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + adlP751(&x, &y, &z) + } +} + +func BenchmarkX2SubLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + sulP751(&x, &y, &z) + } +} diff --git a/src/circl/dh/sidh/internal/p751/core.go b/src/circl/dh/sidh/internal/p751/core.go new file mode 100644 index 00000000000..03c15d4725f --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/core.go @@ -0,0 +1,282 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p751 + +import ( + . "circl/dh/sidh/internal/common" +) + +// ----------------------------------------------------------------------------- +// Functions for traversing isogeny trees acoording to strategy. Key type 'A' is +// + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyA(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR needed +// for public key generation. +func traverseTreeSharedKeyA(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyB(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreeSharedKeyB(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenA(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPA, xQA, xRA ProjectivePoint + var xPB, xQB, xRB, xR ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny4 + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPA, &xQA, &xRA, params.A.SecretBitLen, prvBytes) + traverseTreePublicKeyA(¶ms.InitCurve, &xR, &xPB, &xQB, &xRB) + + // Secret isogeny + phi.GenerateCurve(&xR) + xPA = phi.EvaluatePoint(&xPB) + xQA = phi.EvaluatePoint(&xQB) + xRA = phi.EvaluatePoint(&xRB) + Fp2Batch3Inv(&xPA.Z, &xQA.Z, &xRA.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPA.X, &invZP) + mul(&pub3Pt[1], &xQA.X, &invZQ) + mul(&pub3Pt[2], &xRA.X, &invZR) +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenB(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPB, xQB, xRB, xR ProjectivePoint + var xPA, xQA, xRA ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny3 + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPB, &xQB, &xRB, params.B.SecretBitLen, prvBytes) + traverseTreePublicKeyB(¶ms.InitCurve, &xR, &xPA, &xQA, &xRA) + + phi.GenerateCurve(&xR) + xPB = phi.EvaluatePoint(&xPA) + xQB = phi.EvaluatePoint(&xQA) + xRB = phi.EvaluatePoint(&xRA) + Fp2Batch3Inv(&xPB.Z, &xQB.Z, &xRB.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPB.X, &invZP) + mul(&pub3Pt[1], &xQB.X, &invZQ) + mul(&pub3Pt[2], &xRB.X, &invZR) +} + +// ----------------------------------------------------------------------------- +// Key agreement functions +// + +// Establishing shared keys in in 2-torsion group +func DeriveSecretA(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny4 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.A.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyA(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients4(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} + +// Establishing shared keys in in 3-torsion group +func DeriveSecretB(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny3 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.B.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyB(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients3(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} diff --git a/src/circl/dh/sidh/internal/p751/curve.go b/src/circl/dh/sidh/internal/p751/curve.go new file mode 100644 index 00000000000..d773427e3ed --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/curve.go @@ -0,0 +1,362 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p751 + +import ( + . "circl/dh/sidh/internal/common" +) + +// Stores isogeny 3 curve constants +type isogeny3 struct { + K1 Fp2 + K2 Fp2 +} + +// Stores isogeny 4 curve constants +type isogeny4 struct { + isogeny3 + K3 Fp2 +} + +// Computes j-invariant for a curve y2=x3+A/Cx+x with A,C in F_(p^2). Result +// is returned in jBytes buffer, encoded in little-endian format. Caller +// provided jBytes buffer has to be big enough to j-invariant value. In case +// of SIDH, buffer size must be at least size of shared secret. +// Implementation corresponds to Algorithm 9 from SIKE. +func Jinvariant(cparams *ProjectiveCurveParameters, j *Fp2) { + var t0, t1 Fp2 + + sqr(j, &cparams.A) // j = A^2 + sqr(&t1, &cparams.C) // t1 = C^2 + add(&t0, &t1, &t1) // t0 = t1 + t1 + sub(&t0, j, &t0) // t0 = j - t0 + sub(&t0, &t0, &t1) // t0 = t0 - t1 + sub(j, &t0, &t1) // t0 = t0 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(j, j, &t1) // j = j * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&t1, &t0) // t1 = t0^2 + mul(&t0, &t0, &t1) // t0 = t0 * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + inv(j, j) // j = 1/j + mul(j, &t0, j) // j = t0 * j +} + +// Given affine points x(P), x(Q) and x(Q-P) in a extension field F_{p^2}, function +// recorvers projective coordinate A of a curve. This is Algorithm 10 from SIKE. +func RecoverCoordinateA(curve *ProjectiveCurveParameters, xp, xq, xr *Fp2) { + var t0, t1 Fp2 + + add(&t1, xp, xq) // t1 = Xp + Xq + mul(&t0, xp, xq) // t0 = Xp * Xq + mul(&curve.A, xr, &t1) // A = X(q-p) * t1 + add(&curve.A, &curve.A, &t0) // A = A + t0 + mul(&t0, &t0, xr) // t0 = t0 * X(q-p) + sub(&curve.A, &curve.A, ¶ms.OneFp2) // A = A - 1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t1, &t1, xr) // t1 = t1 + X(q-p) + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&curve.A, &curve.A) // A = A^2 + inv(&t0, &t0) // t0 = 1/t0 + mul(&curve.A, &curve.A, &t0) // A = A * t0 + sub(&curve.A, &curve.A, &t1) // A = A - t1 +} + +// Computes equivalence (A:C) ~ (A+2C : A-2C) +func CalcCurveParamsEquiv3(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coef CurveCoefficientsEquiv + var c2 Fp2 + + add(&c2, &cparams.C, &cparams.C) + // A24p = A+2*C + add(&coef.A, &cparams.A, &c2) + // A24m = A-2*C + sub(&coef.C, &cparams.A, &c2) + return coef +} + +// Computes equivalence (A:C) ~ (A+2C : 4C) +func CalcCurveParamsEquiv4(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + + add(&coefEq.C, &cparams.C, &cparams.C) + // A24p = A+2C + add(&coefEq.A, &cparams.A, &coefEq.C) + // C24 = 4*C + add(&coefEq.C, &coefEq.C, &coefEq.C) + return coefEq +} + +// Helper function for RightToLeftLadder(). Returns A+2C / 4. +func CalcAplus2Over4(cparams *ProjectiveCurveParameters) (ret Fp2) { + var tmp Fp2 + + // 2C + add(&tmp, &cparams.C, &cparams.C) + // A+2C + add(&ret, &cparams.A, &tmp) + // 1/4C + add(&tmp, &tmp, &tmp) + inv(&tmp, &tmp) + // A+2C/4C + mul(&ret, &ret, &tmp) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:A-2C). +func RecoverCurveCoefficients3(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + add(&cparams.A, &coefEq.A, &coefEq.C) + // cparams.A = 2*(A+2C+A-2C) = 4A + add(&cparams.A, &cparams.A, &cparams.A) + // cparams.C = (A+2C-A+2C) = 4C + sub(&cparams.C, &coefEq.A, &coefEq.C) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:4C). +func RecoverCurveCoefficients4(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + // cparams.C = (4C)*1/2=2C + mul(&cparams.C, &coefEq.C, ¶ms.HalfFp2) + // cparams.A = A+2C - 2C = A + sub(&cparams.A, &coefEq.A, &cparams.C) + // cparams.C = 2C * 1/2 = C + mul(&cparams.C, &cparams.C, ¶ms.HalfFp2) +} + +// Combined coordinate doubling and differential addition. Takes projective points +// P,Q,Q-P and (A+2C)/4C curve E coefficient. Returns 2*P and P+Q calculated on E. +// Function is used only by RightToLeftLadder. Corresponds to Algorithm 5 of SIKE +func xDbladd(P, Q, QmP *ProjectivePoint, a24 *Fp2) (dblP, PaQ ProjectivePoint) { + var t0, t1, t2 Fp2 + + xQmP, zQmP := &QmP.X, &QmP.Z + xPaQ, zPaQ := &PaQ.X, &PaQ.Z + x2P, z2P := &dblP.X, &dblP.Z + xP, zP := &P.X, &P.Z + xQ, zQ := &Q.X, &Q.Z + + add(&t0, xP, zP) // t0 = Xp+Zp + sub(&t1, xP, zP) // t1 = Xp-Zp + sqr(x2P, &t0) // 2P.X = t0^2 + sub(&t2, xQ, zQ) // t2 = Xq-Zq + add(xPaQ, xQ, zQ) // Xp+q = Xq+Zq + mul(&t0, &t0, &t2) // t0 = t0 * t2 + mul(z2P, &t1, &t1) // 2P.Z = t1 * t1 + mul(&t1, &t1, xPaQ) // t1 = t1 * Xp+q + sub(&t2, x2P, z2P) // t2 = 2P.X - 2P.Z + mul(x2P, x2P, z2P) // 2P.X = 2P.X * 2P.Z + mul(xPaQ, a24, &t2) // Xp+q = A24 * t2 + sub(zPaQ, &t0, &t1) // Zp+q = t0 - t1 + add(z2P, xPaQ, z2P) // 2P.Z = Xp+q + 2P.Z + add(xPaQ, &t0, &t1) // Xp+q = t0 + t1 + mul(z2P, z2P, &t2) // 2P.Z = 2P.Z * t2 + sqr(zPaQ, zPaQ) // Zp+q = Zp+q ^ 2 + sqr(xPaQ, xPaQ) // Xp+q = Xp+q ^ 2 + mul(zPaQ, xQmP, zPaQ) // Zp+q = Xq-p * Zp+q + mul(xPaQ, zQmP, xPaQ) // Xp+q = Zq-p * Xp+q + return +} + +// Given the curve parameters, xP = x(P), computes xP = x([2^k]P) +// Safe to overlap xP, x2P. +func Pow2k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t0, &t0) // t0 = t0 ^ 2 + sqr(&t1, &t1) // t1 = t1 ^ 2 + mul(z, ¶ms.C, &t0) // Z2p = C24 * t0 + mul(x, z, &t1) // X2p = Z2p * t1 + sub(&t1, &t1, &t0) // t1 = t1 - t0 + mul(&t0, ¶ms.A, &t1) // t0 = A24+ * t1 + add(z, z, &t0) // Z2p = Z2p + t0 + mul(z, z, &t1) // Zp = Z2p * t1 + } +} + +// Given the curve parameters, xP = x(P), and k >= 0, compute xP = x([3^k]P). +// +// Safe to overlap xP, xR. +func Pow3k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1, t2, t3, t4, t5, t6 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + sqr(&t2, &t0) // t2 = t0^2 + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t3, &t1) // t3 = t1^2 + add(&t4, &t1, &t0) // t4 = t1 + t0 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t1, &t4) // t1 = t4^2 + sub(&t1, &t1, &t3) // t1 = t1 - t3 + sub(&t1, &t1, &t2) // t1 = t1 - t2 + mul(&t5, &t3, ¶ms.A) // t5 = t3 * A24+ + mul(&t3, &t3, &t5) // t3 = t5 * t3 + mul(&t6, &t2, ¶ms.C) // t6 = t2 * A24- + mul(&t2, &t2, &t6) // t2 = t2 * t6 + sub(&t3, &t2, &t3) // t3 = t2 - t3 + sub(&t2, &t5, &t6) // t2 = t5 - t6 + mul(&t1, &t2, &t1) // t1 = t2 * t1 + add(&t2, &t3, &t1) // t2 = t3 + t1 + sqr(&t2, &t2) // t2 = t2^2 + mul(x, &t2, &t4) // X3p = t2 * t4 + sub(&t1, &t3, &t1) // t1 = t3 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(z, &t1, &t0) // Z3p = t1 * t0 + } +} + +// Set (y1, y2, y3) = (1/x1, 1/x2, 1/x3). +// +// All xi, yi must be distinct. +func Fp2Batch3Inv(x1, x2, x3, y1, y2, y3 *Fp2) { + var x1x2, t Fp2 + + mul(&x1x2, x1, x2) // x1*x2 + mul(&t, &x1x2, x3) // 1/(x1*x2*x3) + inv(&t, &t) + mul(y1, &t, x2) // 1/x1 + mul(y1, y1, x3) + mul(y2, &t, x1) // 1/x2 + mul(y2, y2, x3) + mul(y3, &t, &x1x2) // 1/x3 +} + +// Scalarmul3Pt is a right-to-left point multiplication that given the +// x-coordinate of P, Q and P-Q calculates the x-coordinate of R=Q+[scalar]P. +// nbits must be smaller or equal to len(scalar). +func ScalarMul3Pt(cparams *ProjectiveCurveParameters, P, Q, PmQ *ProjectivePoint, nbits uint, scalar []uint8) ProjectivePoint { + var R0, R2, R1 ProjectivePoint + aPlus2Over4 := CalcAplus2Over4(cparams) + R1 = *P + R2 = *PmQ + R0 = *Q + + // Iterate over the bits of the scalar, bottom to top + prevBit := uint8(0) + for i := uint(0); i < nbits; i++ { + bit := (scalar[i>>3] >> (i & 7) & 1) + swap := prevBit ^ bit + prevBit = bit + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, swap) + R0, R2 = xDbladd(&R0, &R2, &R1, &aPlus2Over4) + } + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, prevBit) + return R1 +} + +// Given a three-torsion point p = x(PB) on the curve E_(A:C), construct the +// three-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_3: ZP_3), where P_3 has exact order 3 on E_A/C +// Output: * Curve coordinates (A' + 2C', A' - 2C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny3) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var t0, t1, t2, t3, t4 Fp2 + var coefEq CurveCoefficientsEquiv + var K1, K2 = &phi.K1, &phi.K2 + + sub(K1, &p.X, &p.Z) // K1 = XP3 - ZP3 + sqr(&t0, K1) // t0 = K1^2 + add(K2, &p.X, &p.Z) // K2 = XP3 + ZP3 + sqr(&t1, K2) // t1 = K2^2 + add(&t2, &t0, &t1) // t2 = t0 + t1 + add(&t3, K1, K2) // t3 = K1 + K2 + sqr(&t3, &t3) // t3 = t3^2 + sub(&t3, &t3, &t2) // t3 = t3 - t2 + add(&t2, &t1, &t3) // t2 = t1 + t3 + add(&t3, &t3, &t0) // t3 = t3 + t0 + add(&t4, &t3, &t0) // t4 = t3 + t0 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t1, &t4) // t4 = t1 + t4 + mul(&coefEq.C, &t2, &t4) // A24m = t2 * t4 + add(&t4, &t1, &t2) // t4 = t1 + t2 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t0, &t4) // t4 = t0 + t4 + mul(&t4, &t3, &t4) // t4 = t3 * t4 + sub(&t0, &t4, &coefEq.C) // t0 = t4 - A24m + add(&coefEq.A, &coefEq.C, &t0) // A24p = A24m + t0 + return coefEq +} + +// Given a 3-isogeny phi and a point pB = x(PB), compute x(QB), the x-coordinate +// of the image QB = phi(PB) of PB under phi : E_(A:C) -> E_(A':C'). +// +// The output xQ = x(Q) is then a point on the curve E_(A':C'); the curve +// parameters are returned by the GenerateCurve function used to construct phi. +func (phi *isogeny3) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1, t2 Fp2 + var q ProjectivePoint + var K1, K2 = &phi.K1, &phi.K2 + var px, pz = &p.X, &p.Z + + add(&t0, px, pz) // t0 = XQ + ZQ + sub(&t1, px, pz) // t1 = XQ - ZQ + mul(&t0, K1, &t0) // t2 = K1 * t0 + mul(&t1, K2, &t1) // t1 = K2 * t1 + add(&t2, &t0, &t1) // t2 = t0 + t1 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t2, &t2) // t2 = t2 ^ 2 + sqr(&t0, &t0) // t0 = t0 ^ 2 + mul(&q.X, px, &t2) // XQ'= XQ * t2 + mul(&q.Z, pz, &t0) // ZQ'= ZQ * t0 + return q +} + +// Given a four-torsion point p = x(PB) on the curve E_(A:C), construct the +// four-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_4: ZP_4), where P_4 has exact order 4 on E_A/C +// Output: * Curve coordinates (A' + 2C', 4C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny4) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + var xp4, zp4 = &p.X, &p.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + sub(K2, xp4, zp4) + add(K3, xp4, zp4) + sqr(K1, zp4) + add(K1, K1, K1) + sqr(&coefEq.C, K1) + add(K1, K1, K1) + sqr(&coefEq.A, xp4) + add(&coefEq.A, &coefEq.A, &coefEq.A) + sqr(&coefEq.A, &coefEq.A) + return coefEq +} + +// Given a 4-isogeny phi and a point xP = x(P), compute x(Q), the x-coordinate +// of the image Q = phi(P) of P under phi : E_(A:C) -> E_(A':C'). +// +// Input: Isogeny returned by GenerateCurve and point q=(Qx,Qz) from E0_A/C +// Output: Corresponding point q from E1_A'/C', where E1 is 4-isogenous to E0 +func (phi *isogeny4) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1 Fp2 + var q = *p + var xq, zq = &q.X, &q.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + add(&t0, xq, zq) + sub(&t1, xq, zq) + mul(xq, &t0, K2) + mul(zq, &t1, K3) + mul(&t0, &t0, &t1) + mul(&t0, &t0, K1) + add(&t1, xq, zq) + sub(zq, xq, zq) + sqr(&t1, &t1) + sqr(zq, zq) + add(xq, &t0, &t1) + sub(&t0, zq, &t0) + mul(xq, xq, &t1) + mul(zq, zq, &t0) + return q +} diff --git a/src/circl/dh/sidh/internal/p751/curve_test.go b/src/circl/dh/sidh/internal/p751/curve_test.go new file mode 100644 index 00000000000..8ea423258e6 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/curve_test.go @@ -0,0 +1,100 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p751 + +import ( + "bytes" + "testing" + + . "circl/dh/sidh/internal/common" +) + +func vartimeEqProjFp2(lhs, rhs *ProjectivePoint) bool { + var t0, t1 Fp2 + mul(&t0, &lhs.X, &rhs.Z) + mul(&t1, &lhs.Z, &rhs.X) + return vartimeEqFp2(&t0, &t1) +} + +func toAffine(point *ProjectivePoint) *Fp2 { + var affineX Fp2 + inv(&affineX, &point.Z) + mul(&affineX, &affineX, &point.X) + return &affineX +} + +func Test_jInvariant(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var jbufRes = make([]byte, params.SharedSecretSize) + var jbufExp = make([]byte, params.SharedSecretSize) + var jInv Fp2 + + Jinvariant(&curve, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufRes, &jInv, params.Bytelen) + + jInv = expectedJ + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufExp, &jInv, params.Bytelen) + + if !bytes.Equal(jbufRes[:], jbufExp[:]) { + t.Error("Computed incorrect j-invariant: found\n", jbufRes, "\nexpected\n", jbufExp) + } +} + +func TestProjectivePointVartimeEq(t *testing.T) { + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + xQ := xP + + // Scale xQ, which results in the same projective point + mul(&xQ.X, &xQ.X, &curveA) + mul(&xQ.Z, &xQ.Z, &curveA) + if !vartimeEqProjFp2(&xP, &xQ) { + t.Error("Expected the scaled point to be equal to the original") + } +} + +func TestPointMulVersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv4(&curve) + var xP ProjectivePoint + + // x 2 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 1) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP2) { + t.Error("\nExpected\n", affineXP2, "\nfound\n", afxQ) + } + + // x 4 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 2) + afxQ = toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP4) { + t.Error("\nExpected\n", affineXP4, "\nfound\n", afxQ) + } +} + +func TestPointMul9VersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv3(&curve) + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow3k(&xP, &cparams, 2) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP9) { + t.Error("\nExpected\n", affineXP9, "\nfound\n", afxQ) + } +} + +func BenchmarkThreePointLadder(b *testing.B) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + for n := 0; n < b.N; n++ { + ScalarMul3Pt(&curve, &threePointLadderInputs[0], &threePointLadderInputs[1], &threePointLadderInputs[2], uint(len(scalar3Pt)*8), scalar3Pt[:]) + } +} diff --git a/src/circl/dh/sidh/internal/p751/doc.go b/src/circl/dh/sidh/internal/p751/doc.go new file mode 100644 index 00000000000..fb774fec9fc --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/doc.go @@ -0,0 +1,2 @@ +// Package p751 provides implementation of field arithmetic used in SIDH and SIKE. +package p751 diff --git a/src/circl/dh/sidh/internal/p751/fp2.go b/src/circl/dh/sidh/internal/p751/fp2.go new file mode 100644 index 00000000000..d9f19bcb3b0 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/fp2.go @@ -0,0 +1,195 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p751 + +import ( + "circl/dh/sidh/internal/common" +) + +// Montgomery multiplication. Input values must be already +// in Montgomery domain. +func mulP(dest, lhs, rhs *common.Fp) { + var ab common.FpX2 + mulP751(&ab, lhs, rhs) // = a*b*R*R + rdcP751(dest, &ab) // = a*b*R mod p +} + +// Set dest = x^((p-3)/4). If x is square, this is 1/sqrt(x). +// Uses variation of sliding-window algorithm from with window size +// of 5 and least to most significant bit sliding (left-to-right) +// See HAC 14.85 for general description. +// +// Allowed to overlap x with dest. +// All values in Montgomery domains +// Set dest = x^(2^k), for k >= 1, by repeated squarings. +func p34(dest, x *common.Fp) { + var lookup [16]common.Fp + + // This performs sum(powStrategy) + 1 squarings and len(lookup) + len(mulStrategy) + // multiplications. + powStrategy := []uint8{5, 7, 6, 2, 10, 4, 6, 9, 8, 5, 9, 4, 7, 5, 5, 4, 8, 3, 9, 5, 5, 4, 10, 4, 6, 6, 6, 5, 8, 9, 3, 4, 9, 4, 5, 6, 6, 2, 9, 4, 5, 5, 5, 7, 7, 9, 4, 6, 4, 8, 5, 8, 6, 6, 2, 9, 7, 4, 8, 8, 8, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2} + mulStrategy := []uint8{15, 11, 10, 0, 15, 3, 3, 3, 4, 4, 9, 7, 11, 11, 5, 3, 12, 2, 10, 8, 5, 2, 8, 3, 5, 4, 11, 4, 0, 9, 2, 1, 12, 7, 5, 14, 15, 0, 14, 5, 6, 4, 5, 13, 6, 9, 7, 15, 1, 14, 11, 15, 12, 5, 0, 10, 9, 7, 7, 10, 14, 6, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 1} + initialMul := uint8(13) + + // Precompute lookup table of odd multiples of x for window + // size k=5. + var xx common.Fp + mulP(&xx, x, x) + lookup[0] = *x + for i := 1; i < 16; i++ { + mulP(&lookup[i], &lookup[i-1], &xx) + } + + // Now lookup = {x, x^3, x^5, ... } + // so that lookup[i] = x^{2*i + 1} + // so that lookup[k/2] = x^k, for odd k + *dest = lookup[initialMul] + for i := uint8(0); i < uint8(len(powStrategy)); i++ { + mulP(dest, dest, dest) + for j := uint8(1); j < powStrategy[i]; j++ { + mulP(dest, dest, dest) + } + mulP(dest, dest, &lookup[mulStrategy[i]]) + } +} + +func add(dest, lhs, rhs *common.Fp2) { + addP751(&dest.A, &lhs.A, &rhs.A) + addP751(&dest.B, &lhs.B, &rhs.B) +} + +func sub(dest, lhs, rhs *common.Fp2) { + subP751(&dest.A, &lhs.A, &rhs.A) + subP751(&dest.B, &lhs.B, &rhs.B) +} + +func mul(dest, lhs, rhs *common.Fp2) { + var bMinA, cMinD common.Fp + var ac, bd common.FpX2 + var adPlusBc common.FpX2 + var acMinBd common.FpX2 + + // Let (a,b,c,d) = (lhs.a,lhs.b,rhs.a,rhs.b). + // + // (a + bi)*(c + di) = (a*c - b*d) + (a*d + b*c)i + // + // Use Karatsuba's trick: note that + // + // (b - a)*(c - d) = (b*c + a*d) - a*c - b*d + // + // so (a*d + b*c) = (b-a)*(c-d) + a*c + b*d. + mulP751(&ac, &lhs.A, &rhs.A) // = a*c*R*R + mulP751(&bd, &lhs.B, &rhs.B) // = b*d*R*R + subP751(&bMinA, &lhs.B, &lhs.A) // = (b-a)*R + subP751(&cMinD, &rhs.A, &rhs.B) // = (c-d)*R + mulP751(&adPlusBc, &bMinA, &cMinD) // = (b-a)*(c-d)*R*R + adlP751(&adPlusBc, &adPlusBc, &ac) // = ((b-a)*(c-d) + a*c)*R*R + adlP751(&adPlusBc, &adPlusBc, &bd) // = ((b-a)*(c-d) + a*c + b*d)*R*R + rdcP751(&dest.B, &adPlusBc) // = (a*d + b*c)*R mod p + sulP751(&acMinBd, &ac, &bd) // = (a*c - b*d)*R*R + rdcP751(&dest.A, &acMinBd) // = (a*c - b*d)*R mod p +} + +// Set dest = 1/x +// +// Allowed to overlap dest with x. +// +// Returns dest to allow chaining operations. +func inv(dest, x *common.Fp2) { + var e1, e2 common.FpX2 + var f1, f2 common.Fp + + // We want to compute + // + // 1 1 (a - bi) (a - bi) + // -------- = -------- -------- = ----------- + // (a + bi) (a + bi) (a - bi) (a^2 + b^2) + // + // Letting c = 1/(a^2 + b^2), this is + // + // 1/(a+bi) = a*c - b*ci. + + mulP751(&e1, &x.A, &x.A) // = a*a*R*R + mulP751(&e2, &x.B, &x.B) // = b*b*R*R + adlP751(&e1, &e1, &e2) // = (a^2 + b^2)*R*R + rdcP751(&f1, &e1) // = (a^2 + b^2)*R mod p + // Now f1 = a^2 + b^2 + + mulP(&f2, &f1, &f1) + p34(&f2, &f2) + mulP(&f2, &f2, &f2) + mulP(&f2, &f2, &f1) + + mulP751(&e1, &x.A, &f2) + rdcP751(&dest.A, &e1) + + subP751(&f1, &common.Fp{}, &x.B) + mulP751(&e1, &f1, &f2) + rdcP751(&dest.B, &e1) +} + +func sqr(dest, x *common.Fp2) { + var a2, aPlusB, aMinusB common.Fp + var a2MinB2, ab2 common.FpX2 + + a := &x.A + b := &x.B + + // (a + bi)*(a + bi) = (a^2 - b^2) + 2abi. + addP751(&a2, a, a) // = a*R + a*R = 2*a*R + addP751(&aPlusB, a, b) // = a*R + b*R = (a+b)*R + subP751(&aMinusB, a, b) // = a*R - b*R = (a-b)*R + mulP751(&a2MinB2, &aPlusB, &aMinusB) // = (a+b)*(a-b)*R*R = (a^2 - b^2)*R*R + mulP751(&ab2, &a2, b) // = 2*a*b*R*R + rdcP751(&dest.A, &a2MinB2) // = (a^2 - b^2)*R mod p + rdcP751(&dest.B, &ab2) // = 2*a*b*R mod p +} + +// In case choice == 1, performs following swap in constant time: +// xPx <-> xQx +// xPz <-> xQz +// Otherwise returns xPx, xPz, xQx, xQz unchanged +func cswap(xPx, xPz, xQx, xQz *common.Fp2, choice uint8) { + cswapP751(&xPx.A, &xQx.A, choice) + cswapP751(&xPx.B, &xQx.B, choice) + cswapP751(&xPz.A, &xQz.A, choice) + cswapP751(&xPz.B, &xQz.B, choice) +} + +// Converts in.A and in.B to Montgomery domain and stores +// in 'out' +// out.A = in.A * R mod p +// out.B = in.B * R mod p +// Performs v = v*R^2*R^(-1) mod p, for both in.A and in.B +func ToMontgomery(out, in *common.Fp2) { + var aRR common.FpX2 + + // a*R*R + mulP751(&aRR, &in.A, &P751R2) + // a*R mod p + rdcP751(&out.A, &aRR) + mulP751(&aRR, &in.B, &P751R2) + rdcP751(&out.B, &aRR) +} + +// Converts in.A and in.B from Montgomery domain and stores +// in 'out' +// out.A = in.A mod p +// out.B = in.B mod p +// +// After returning from the call 'in' is not modified. +func FromMontgomery(out, in *common.Fp2) { + var aR common.FpX2 + + // convert from montgomery domain + copy(aR[:], in.A[:]) + rdcP751(&out.A, &aR) // = a mod p in [0, 2p) + modP751(&out.A) // = a mod p in [0, p) + for i := range aR { + aR[i] = 0 + } + copy(aR[:], in.B[:]) + rdcP751(&out.B, &aR) + modP751(&out.B) +} diff --git a/src/circl/dh/sidh/internal/p751/fp2_test.go b/src/circl/dh/sidh/internal/p751/fp2_test.go new file mode 100644 index 00000000000..466e118e954 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/fp2_test.go @@ -0,0 +1,245 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package p751 + +import ( + "math/rand" + "reflect" + "testing" + "testing/quick" + + "circl/dh/sidh/internal/common" +) + +type testParams struct { + Point common.ProjectivePoint + Cparam common.ProjectiveCurveParameters + ExtElem common.Fp2 +} + +// Returns true if lhs = rhs. Takes variable time. +func vartimeEqFp2(lhs, rhs *common.Fp2) bool { + a := *lhs + b := *rhs + + modP751(&a.A) + modP751(&a.B) + modP751(&b.A) + modP751(&b.B) + + eq := true + for i := 0; i < FpWords && eq; i++ { + eq = eq && (a.A[i] == b.A[i]) + eq = eq && (a.B[i] == b.B[i]) + } + return eq +} + +func (testParams) generateFp2(rand *rand.Rand) common.Fp2 { + // Generation strategy: low limbs taken from [0,2^64); high limb + // taken from smaller range + // + // Size hint is ignored since all elements are fixed size. + // + // Field elements taken in range [0,2p). Emulate this by capping + // the high limb by the top digit of 2*p-1: + // + // sage: (2*p-1).digits(2^64)[-1] + // + // This still allows generating values >= 2p, but hopefully that + // excess is OK (and if it's not, we'll find out, because it's for + // testing...) + highLimb := rand.Uint64() % P751x2[FpWords-1] + fpElementGen := func() (fp common.Fp) { + for i := 0; i < (FpWords - 1); i++ { + fp[i] = rand.Uint64() + } + fp[FpWords-1] = highLimb + return fp + } + return common.Fp2{A: fpElementGen(), B: fpElementGen()} +} + +func (c testParams) Generate(rand *rand.Rand, size int) reflect.Value { + return reflect.ValueOf( + testParams{ + common.ProjectivePoint{ + X: c.generateFp2(rand), + Z: c.generateFp2(rand), + }, + common.ProjectiveCurveParameters{ + A: c.generateFp2(rand), + C: c.generateFp2(rand), + }, + c.generateFp2(rand), + }) +} + +func TestOne(t *testing.T) { + var tmp common.Fp2 + + mul(&tmp, ¶ms.OneFp2, ¶ms.A.AffineP) + if !vartimeEqFp2(&tmp, ¶ms.A.AffineP) { + t.Error("Not equal 1") + } +} + +func TestFp2ToBytesRoundTrip(t *testing.T) { + roundTrips := func(x testParams) bool { + var xBytes = make([]byte, 2*params.Bytelen) + var xPrime common.Fp2 + + common.Fp2ToBytes(xBytes[:], &x.ExtElem, params.Bytelen) + common.BytesToFp2(&xPrime, xBytes[:], params.Bytelen) + return vartimeEqFp2(&xPrime, &x.ExtElem) + } + + if err := quick.Check(roundTrips, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulDistributesOverAdd(t *testing.T) { + mulDistributesOverAdd := func(x, y, z testParams) bool { + // Compute t1 = (x+y)*z + t1 := new(common.Fp2) + add(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = x*z + y*z + t2 := new(common.Fp2) + t3 := new(common.Fp2) + mul(t2, &x.ExtElem, &z.ExtElem) + mul(t3, &y.ExtElem, &z.ExtElem) + add(t2, t2, t3) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(mulDistributesOverAdd, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulIsAssociative(t *testing.T) { + isAssociative := func(x, y, z testParams) bool { + // Compute t1 = (x*y)*z + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = (y*z)*x + t2 := new(common.Fp2) + mul(t2, &y.ExtElem, &z.ExtElem) + mul(t2, t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(isAssociative, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2SquareMatchesMul(t *testing.T) { + sqrMatchesMul := func(x testParams) bool { + // Compute t1 = (x*x) + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &x.ExtElem) + + // Compute t2 = x^2 + t2 := new(common.Fp2) + sqr(t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(sqrMatchesMul, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Inv(t *testing.T) { + inverseIsCorrect := func(x testParams) bool { + z := new(common.Fp2) + inv(z, &x.ExtElem) + + // Now z = (1/x), so (z * x) * x == x + mul(z, z, &x.ExtElem) + mul(z, z, &x.ExtElem) + + return vartimeEqFp2(z, &x.ExtElem) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 11)} + if err := quick.Check(inverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Batch3Inv(t *testing.T) { + batchInverseIsCorrect := func(x1, x2, x3 testParams) bool { + var x1Inv, x2Inv, x3Inv common.Fp2 + inv(&x1Inv, &x1.ExtElem) + inv(&x2Inv, &x2.ExtElem) + inv(&x3Inv, &x3.ExtElem) + + var y1, y2, y3 common.Fp2 + Fp2Batch3Inv(&x1.ExtElem, &x2.ExtElem, &x3.ExtElem, &y1, &y2, &y3) + + return (vartimeEqFp2(&x1Inv, &y1) && vartimeEqFp2(&x2Inv, &y2) && vartimeEqFp2(&x3Inv, &y3)) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 8)} + if err := quick.Check(batchInverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func BenchmarkFp2Mul(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + mul(w, z, z) + } +} + +func BenchmarkFp2Inv(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + inv(w, z) + } +} + +func BenchmarkFp2Square(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sqr(w, z) + } +} + +func BenchmarkFp2Add(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + add(w, z, z) + } +} + +func BenchmarkFp2Sub(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sub(w, z, z) + } +} diff --git a/src/circl/dh/sidh/internal/p751/params.go b/src/circl/dh/sidh/internal/p751/params.go new file mode 100644 index 00000000000..29ab8b4d383 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/params.go @@ -0,0 +1,249 @@ +package p751 + +//go:generate go run ../templates/gen.go P751 + +import ( + "circl/dh/sidh/internal/common" + "internal/cpu" +) + +const ( + // Number of uint64 limbs used to store field element + FpWords = 12 +) + +var ( + // HasBMI2 signals support for MULX which is in BMI2 + HasBMI2 = cpu.X86.HasBMI2 + // HasADXandBMI2 signals support for ADX and BMI2 + HasADXandBMI2 = cpu.X86.HasBMI2 && cpu.X86.HasADX + // P751 is a prime used by field Fp751 + P751 = common.Fp{ + 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff, + 0xffffffffffffffff, 0xffffffffffffffff, 0xeeafffffffffffff, + 0xe3ec968549f878a8, 0xda959b1a13f7cc76, 0x084e9867d6ebe876, + 0x8562b5045cb25748, 0x0e12909f97badc66, 0x00006fe5d541f71c} + + // P751x2 = 2*p751 - 1 + P751x2 = common.Fp{ + 0xFFFFFFFFFFFFFFFE, 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, + 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFFFFFFF, 0xDD5FFFFFFFFFFFFF, + 0xC7D92D0A93F0F151, 0xB52B363427EF98ED, 0x109D30CFADD7D0ED, + 0x0AC56A08B964AE90, 0x1C25213F2F75B8CD, 0x0000DFCBAA83EE38} + + // P751p1 = p751 + 1 + P751p1 = common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0xeeb0000000000000, + 0xe3ec968549f878a8, 0xda959b1a13f7cc76, 0x084e9867d6ebe876, + 0x8562b5045cb25748, 0x0e12909f97badc66, 0x00006fe5d541f71c} + + // P751R2 = (2^768)^2 mod p + P751R2 = common.Fp{ + 0x233046449DAD4058, 0xDB010161A696452A, 0x5E36941472E3FD8E, + 0xF40BFE2082A2E706, 0x4932CCA8904F8751, 0x1F735F1F1EE7FC81, + 0xA24F4D80C1048E18, 0xB56C383CCDB607C5, 0x441DD47B735F9C90, + 0x5673ED2C6A6AC82A, 0x06C905261132294B, 0x000041AD830F1F35} + + // P751p1Zeros number of 0 digits in the least significant part of P751+1 + P751p1Zeros = 5 + + // 1*R mod p + one = common.Fp2{ + A: common.Fp{ + 0x00000000000249ad, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x8310000000000000, + 0x5527b1e4375c6c66, 0x697797bf3f4f24d0, 0xc89db7b2ac5c4e2e, + 0x4ca4b439d2076956, 0x10f7926c7512c7e9, 0x00002d5b24bce5e2}, + } + // 1/2 * R mod p + half = common.Fp2{ + A: common.Fp{ + 0x00000000000124D6, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0xB8E0000000000000, + 0x9C8A2434C0AA7287, 0xA206996CA9A378A3, 0x6876280D41A41B52, + 0xE903B49F175CE04F, 0x0F8511860666D227, 0x00004EA07CFF6E7F}, + } + // 6*R mod p + six = common.Fp2{ + A: common.Fp{ + 0x00000000000DBA10, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x3500000000000000, + 0x3714FE4EB8399915, 0xC3A2584753EB43F4, 0xA3151D605C520428, + 0xC116CF5232C7C978, 0x49A84D4B8EFAF6AA, 0x0000305731E97514}, + } + + params = common.SidhParams{ + ID: common.Fp751, + // SIDH public key byte size. + PublicKeySize: 564, + // SIDH shared secret byte size. + SharedSecretSize: 188, + A: common.DomainParams{ + // The x-coordinate of PA + AffineP: common.Fp2{ + A: common.Fp{ + 0x884F46B74000BAA8, 0xBA52630F939DEC20, 0xC16FB97BA714A04D, + 0x082536745B1AB3DB, 0x1117157F446F9E82, 0xD2F27D621A018490, + 0x6B24AB523D544BCD, 0x9307D6AA2EA85C94, 0xE1A096729528F20F, + 0x896446F868F3255C, 0x2401D996B1BFF8A5, 0x00000EF8786A5C0A, + }, + B: common.Fp{ + 0xAEB78B3B96F59394, 0xAB26681E29C90B74, 0xE520AC30FDC4ACF1, + 0x870AAAE3A4B8111B, 0xF875BDB738D64EFF, 0x50109A7ECD7ED6BC, + 0x4CC64848FF0C56FB, 0xE617CB6C519102C9, 0x9C74B3835921E609, + 0xC91DDAE4A35A7146, 0x7FC82A155C1B9129, 0x0000214FA6B980B3, + }, + }, + // The x-coordinate of QA + AffineQ: common.Fp2{ + A: common.Fp{ + 0x0F93CC38680A8CA9, 0x762E733822E7FED7, 0xE549F005AC0ADB67, + 0x94A71FDD2C43A4ED, 0xD48645C2B04721C5, 0x432DA1FE4D4CA4DC, + 0xBC99655FAA7A80E8, 0xB2C6D502BCFD4823, 0xEE92F40CA2EC8BDB, + 0x7B074132EFB6D16C, 0x3340B46FA38A7633, 0x0000215749657F6C, + }, + B: common.Fp{ + 0xECFF375BF3079F4C, 0xFBFE74B043E80EF3, 0x17376CBE3C5C7AD1, + 0xC06327A7E29CDBF2, 0x2111649C438BF3D4, 0xC1F9298261BA2E97, + 0x1F9FECE869CFD1C2, 0x01A39B4FC9346D62, 0x147CD1D3E82A3C9F, + 0xDE84E9D249E533EE, 0x1C48A5ADFB7C578D, 0x000061ACA0B82E1D, + }, + }, + // The x-coordinate of RA = PA-QA + AffineR: common.Fp2{ + A: common.Fp{ + 0x1600C525D41059F1, 0xA596899A0A1D83F7, 0x6BFDEED6D2B23F35, + 0x5C7E707270C23910, 0x276CA1A4E8369411, 0xB193651A602925A0, + 0x243D239F1CA1F04A, 0x543DC6DA457860AD, 0xCDA590F325181DE9, + 0xD3AB7ACFDA80B395, 0x6C97468580FDDF7B, 0x0000352A3E5C4C77, + }, + B: common.Fp{ + 0x9B794F9FD1CC3EE8, 0xDB32E40A9B2FD23E, 0x26192A2542E42B67, + 0xA18E94FCA045BCE7, 0x96DC1BC38E7CDA2D, 0x9A1D91B752487DE2, + 0xCC63763987436DA3, 0x1316717AACCC551D, 0xC4C368A4632AFE72, + 0x4B6EA85C9CCD5710, 0x7A12CAD582C7BC9A, 0x00001C7E240149BF, + }, + }, + // Max size of secret key for 2-torsion group, corresponds to 2^e2 - 1 + SecretBitLen: 372, + // SecretBitLen in bytes. + SecretByteLen: 47, + // 2-torsion group computation strategy + IsogenyStrategy: []uint32{ + 0x50, 0x30, 0x1B, 0x0F, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x07, + 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x03, 0x02, 0x01, + 0x01, 0x01, 0x01, 0x0C, 0x07, 0x04, 0x02, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, 0x05, 0x03, + 0x02, 0x01, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x15, + 0x0C, 0x07, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x03, + 0x02, 0x01, 0x01, 0x01, 0x01, 0x05, 0x03, 0x02, 0x01, 0x01, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x09, 0x05, 0x03, 0x02, + 0x01, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x04, 0x02, + 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x21, 0x14, 0x0C, 0x07, + 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x03, 0x02, 0x01, + 0x01, 0x01, 0x01, 0x05, 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x01, 0x08, 0x05, 0x03, 0x02, 0x01, 0x01, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x10, 0x08, 0x04, 0x02, 0x01, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01}, + }, + B: common.DomainParams{ + // The x-coordinate of PB + AffineP: common.Fp2{ + A: common.Fp{ + 0x85691AAF4015F88C, 0x7478C5B8C36E9631, 0x7EF2A185DE4DD6E2, + 0x943BBEE46BEB9DC7, 0x1A3EC62798792D22, 0x791BC4B084B31D69, + 0x03DBE6522CEA17C4, 0x04749AA65D665D83, 0x3D52B5C45EF450F3, + 0x0B4219848E36947D, 0xA4CF7070466BDE27, 0x0000334B1FA6D193, + }, + B: common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + }, + }, + // The x-coordinate of QB + AffineQ: common.Fp2{ + A: common.Fp{ + 0x8E7CB3FA53211340, 0xD67CE54F7A05EEE0, 0xFDDC2C8BCE46FC38, + 0x08587FAE3110DF1E, 0xD6B8246FA22B058B, 0x4DAC3ACC905A5DBD, + 0x51D0BF2FADCED3E8, 0xE5A2406DF6484425, 0x907F177584F671B8, + 0x4738A2FFCCED051C, 0x2B0067B4177E4853, 0x00002806AC948D3D, + }, + B: common.Fp{ + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + 0x0000000000000000, 0x0000000000000000, 0x0000000000000000, + }, + }, + // The x-coordinate of RB = PB - QB + AffineR: common.Fp2{ + A: common.Fp{ + 0xB56457016D1D6D1C, 0x03DECCB38F39C491, 0xDFB910AC8A559452, + 0xA9D0F17D1FF24883, 0x8562BBAF515C248C, 0x249B2A6DDB1CB67D, + 0x3131AF96FB46835C, 0xE10258398480C3E1, 0xEAB5E2B872D4FAB1, + 0xB71E63875FAEB1DF, 0xF8384D4F13757CF6, 0x0000361EC9B09912, + }, + B: common.Fp{ + 0x58C967899ED16EF4, 0x81998376DC622A4B, 0x3D1C1DCFE0B12681, + 0x9347DEBB953E1730, 0x9ABB344D3A82C2D7, 0xE4881BD2820552B2, + 0x0037247923D90266, 0x2E3156EDB157E5A5, 0xF86A46A7506823F7, + 0x8FE5523A7B7F1CFC, 0xFA3CFFA38372F67B, 0x0000692DCE85FFBD, + }, + }, + // Size of secret key for 3-torsion group, corresponds to log_2(3^e3) - 1. + SecretBitLen: 378, + // SecretBitLen in bytes. + SecretByteLen: 48, + // 3-torsion group computation strategy + IsogenyStrategy: []uint32{ + 0x70, 0x3F, 0x20, 0x10, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x08, + 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x10, 0x08, 0x04, 0x02, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x1F, 0x10, 0x08, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, + 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x0F, 0x08, 0x04, + 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x07, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, + 0x01, 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, 0x31, 0x1F, 0x10, + 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, 0x02, + 0x01, 0x01, 0x02, 0x01, 0x01, 0x08, 0x04, 0x02, 0x01, 0x01, + 0x02, 0x01, 0x01, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x0F, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x04, + 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x07, 0x04, 0x02, 0x01, + 0x01, 0x02, 0x01, 0x01, 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, + 0x15, 0x0C, 0x08, 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, + 0x04, 0x02, 0x01, 0x01, 0x02, 0x01, 0x01, 0x05, 0x03, 0x02, + 0x01, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, 0x09, 0x05, + 0x03, 0x02, 0x01, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01, 0x01, + 0x04, 0x02, 0x01, 0x01, 0x01, 0x02, 0x01, 0x01}, + }, + OneFp2: one, + HalfFp2: half, + + MsgLen: 32, + // SIKEp751 provides 128 bit of classical security ([SIKE], 5.1) + KemSize: 32, + // ceil(751+7/8) + Bytelen: 94, + CiphertextSize: 32 + 564, + InitCurve: common.ProjectiveCurveParameters{ + A: six, + C: one, + }, + } +) + +func init() { + common.Register(common.Fp751, ¶ms) +} diff --git a/src/circl/dh/sidh/internal/p751/params_test.go b/src/circl/dh/sidh/internal/p751/params_test.go new file mode 100644 index 00000000000..c258552cc23 --- /dev/null +++ b/src/circl/dh/sidh/internal/p751/params_test.go @@ -0,0 +1,74 @@ +package p751 + +// Contains values used by tests +import ( + "testing/quick" + + . "circl/dh/sidh/internal/common" +) + +var ( + expectedJ = Fp2{ + A: Fp{0xc7a8921c1fb23993, 0xa20aea321327620b, 0xf1caa17ed9676fa8, 0x61b780e6b1a04037, 0x47784af4c24acc7a, 0x83926e2e300b9adf, 0xcd891d56fae5b66, 0x49b66985beb733bc, 0xd4bcd2a473d518f, 0xe242239991abe224, 0xa8af5b20f98672f8, 0x139e4d4e4d98}, + B: Fp{0xb5b52a21f81f359, 0x715e3a865db6d920, 0x9bac2f9d8911978b, 0xef14acd8ac4c1e3d, 0xe81aacd90cfb09c8, 0xaf898288de4a09d9, 0xb85a7fb88c5c4601, 0x2c37c3f1dd303387, 0x7ad3277fe332367c, 0xd4cbee7f25a8e6f8, 0x36eacbe979eaeffa, 0x59eb5a13ac33}, + } + // A = 4385300808024233870220415655826946795549183378139271271040522089756750951667981765872679172832050962894122367066234419550072004266298327417513857609747116903999863022476533671840646615759860564818837299058134292387429068536219*i + 1408083354499944307008104531475821995920666351413327060806684084512082259107262519686546161682384352696826343970108773343853651664489352092568012759783386151707999371397181344707721407830640876552312524779901115054295865393760 + curveA = Fp2{ + A: Fp{0x8319eb18ca2c435e, 0x3a93beae72cd0267, 0x5e465e1f72fd5a84, 0x8617fa4150aa7272, 0x887da24799d62a13, 0xb079b31b3c7667fe, 0xc4661b150fa14f2e, 0xd4d2b2967bc6efd6, 0x854215a8b7239003, 0x61c5302ccba656c2, 0xf93194a27d6f97a2, 0x1ed9532bca75}, + B: Fp{0xb6f541040e8c7db6, 0x99403e7365342e15, 0x457e9cee7c29cced, 0x8ece72dc073b1d67, 0x6e73cef17ad28d28, 0x7aed836ca317472, 0x89e1de9454263b54, 0x745329277aa0071b, 0xf623dfc73bc86b9b, 0xb8e3c1d8a9245882, 0x6ad0b3d317770bec, 0x5b406e8d502b}} + + // C = 933177602672972392833143808100058748100491911694554386487433154761658932801917030685312352302083870852688835968069519091048283111836766101703759957146191882367397129269726925521881467635358356591977198680477382414690421049768*i + 9088894745865170214288643088620446862479558967886622582768682946704447519087179261631044546285104919696820250567182021319063155067584445633834024992188567423889559216759336548208016316396859149888322907914724065641454773776307 + curveC = Fp2{ + A: Fp{0x4fb2358bbf723107, 0x3a791521ac79e240, 0x283e24ef7c4c922f, 0xc89baa1205e33cc, 0x3031be81cff6fee1, 0xaf7a494a2f6a95c4, 0x248d251eaac83a1d, 0xc122fca1e2550c88, 0xbc0451b11b6cfd3d, 0x9c0a114ab046222c, 0x43b957b32f21f6ea, 0x5b9c87fa61de}, + B: Fp{0xacf142afaac15ec6, 0xfd1322a504a071d5, 0x56bb205e10f6c5c6, 0xe204d2849a97b9bd, 0x40b0122202fe7f2e, 0xecf72c6fafacf2cb, 0x45dfc681f869f60a, 0x11814c9aff4af66c, 0x9278b0c4eea54fe7, 0x9a633d5baf7f2e2e, 0x69a329e6f1a05112, 0x1d874ace23e4}} + + // x(P) = 8172151271761071554796221948801462094972242987811852753144865524899433583596839357223411088919388342364651632180452081960511516040935428737829624206426287774255114241789158000915683252363913079335550843837650671094705509470594*i + 9326574858039944121604015439381720195556183422719505497448541073272720545047742235526963773359004021838961919129020087515274115525812121436661025030481584576474033630899768377131534320053412545346268645085054880212827284581557 + affineXP = Fp2{ + A: Fp{0xe8d05f30aac47247, 0x576ec00c55441de7, 0xbf1a8ec5fe558518, 0xd77cb17f77515881, 0x8e9852837ee73ec4, 0x8159634ad4f44a6b, 0x2e4eb5533a798c5, 0x9be8c4354d5bc849, 0xf47dc61806496b84, 0x25d0e130295120e0, 0xdbef54095f8139e3, 0x5a724f20862c}, + B: Fp{0x3ca30d7623602e30, 0xfb281eddf45f07b7, 0xd2bf62d5901a45bc, 0xc67c9baf86306dd2, 0x4e2bd93093f538ca, 0xcfd92075c25b9cbe, 0xceafe9a3095bcbab, 0x7d928ad380c85414, 0x37c5f38b2afdc095, 0x75325899a7b779f4, 0xf130568249f20fdd, 0x178f264767d1}} + + // x([2]P) = 1476586462090705633631615225226507185986710728845281579274759750260315746890216330325246185232948298241128541272709769576682305216876843626191069809810990267291824247158062860010264352034514805065784938198193493333201179504845*i + 3623708673253635214546781153561465284135688791018117615357700171724097420944592557655719832228709144190233454198555848137097153934561706150196041331832421059972652530564323645509890008896574678228045006354394485640545367112224 + affineXP2 = Fp2{ + A: Fp{0x2a77afa8576ce979, 0xab1360e69b0aeba0, 0xd79e3e3cbffad660, 0x5fd0175aa10f106b, 0x1800ebafce9fbdbc, 0x228fc9142bdd6166, 0x867cf907314e34c3, 0xa58d18c94c13c31c, 0x699a5bc78b11499f, 0xa29fc29a01f7ccf1, 0x6c69c0c5347eebce, 0x38ecee0cc57}, + B: Fp{0x43607fd5f4837da0, 0x560bad4ce27f8f4a, 0x2164927f8495b4dd, 0x621103fdb831a997, 0xad740c4eea7db2db, 0x2cde0442205096cd, 0x2af51a70ede8324e, 0x41a4e680b9f3466, 0x5481f74660b8f476, 0xfcb2f3e656ff4d18, 0x42e3ce0837171acc, 0x44238c30530c}} + + // x([2^2]P) = 441719501189485559222919502512761433931671682884872259563221427434901842337947564993718830905758163254463901652874331063768876314142359813382575876106725244985607032091781306919778265250690045578695338669105227100119314831452*i + 6961734028200975729170216310486458180126343885294922940439352055937945948015840788921225114530454649744697857047401608073256634790353321931728699534700109268264491160589480994022419317695690866764726967221310990488404411684053 + affineXP4 = Fp2{ + A: Fp{0x6f9dbe4c39175153, 0xf2fec757eb99e88, 0x43d7361a93733d91, 0x3abd10ed19c85a3d, 0xc4de9ab9c5ef7181, 0x53e375901684c900, 0x68ffc3e7d71c41ff, 0x47adab62c8d942fe, 0x226a33fd6fbb381d, 0x87ef4c8fdd83309a, 0xaca1cf44c5fa8799, 0x6cbae86c755f}, + B: Fp{0x4c80c37fe68282a7, 0xbd8b9d7248bf553a, 0x1fb0e8e74d5e1762, 0xb63fa0e4e5f91482, 0xc675ab8a45a1439, 0xdfa6772deace7820, 0xf0d813d71d9a9255, 0x53a1a58c634534bd, 0x4ebfc6485fdfd888, 0x6991fe4358bcf169, 0xc0547bdaca85b6fd, 0xf461548d632}} + + // x([3^2]P) = 3957171963425208493644602380039721164492341594850197356580248639045894821895524981729970650520936632013218950972842867220898274664982599375786979902471523505057611521217523103474682939638645404445093536997296151472632038973463*i + 1357869545269286021642168835877253886774707209614159162748874474269328421720121175566245719916322684751967981171882659798149072149161259103020057556362998810229937432814792024248155991141511691087135859252304684633946087474060 + affineXP9 = Fp2{ + A: Fp{0x7c0daa0f04ded4e0, 0x52dc4f883d85e065, 0x91afbdc2c1714d0b, 0xb7b3db8e658cfeba, 0x43d4e72a692882f3, 0x535c56d83753da30, 0xc8a58724433cbf5d, 0x351153c0a5e74219, 0x2c81827d19f93dd5, 0x26ef8aca3370ea1a, 0x1cf939a6dd225dec, 0x3403cb28ad41}, + B: Fp{0x93e7bc373a9ff7b, 0x57b8cc47635ebc0f, 0x92eab55689106cf3, 0x93643111d421f24c, 0x1c58b519506f6b7a, 0xebd409fb998faa13, 0x5c86ed799d09d80e, 0xd9a1d764d6363562, 0xf95e87f92fb0c4cc, 0x6b2bbaf5632a5609, 0x2d9b6a809dfaff7f, 0x29c0460348b}} + + // Inputs for testing 3-point-ladder + threePointLadderInputs = []ProjectivePoint{ + // x(P) + { + X: Fp2{ + A: Fp{0xe8d05f30aac47247, 0x576ec00c55441de7, 0xbf1a8ec5fe558518, 0xd77cb17f77515881, 0x8e9852837ee73ec4, 0x8159634ad4f44a6b, 0x2e4eb5533a798c5, 0x9be8c4354d5bc849, 0xf47dc61806496b84, 0x25d0e130295120e0, 0xdbef54095f8139e3, 0x5a724f20862c}, + B: Fp{0x3ca30d7623602e30, 0xfb281eddf45f07b7, 0xd2bf62d5901a45bc, 0xc67c9baf86306dd2, 0x4e2bd93093f538ca, 0xcfd92075c25b9cbe, 0xceafe9a3095bcbab, 0x7d928ad380c85414, 0x37c5f38b2afdc095, 0x75325899a7b779f4, 0xf130568249f20fdd, 0x178f264767d1}}, + Z: params.OneFp2, + }, + // x(Q) + { + X: Fp2{ + A: Fp{0x2b71a2a93ad1e10e, 0xf0b9842a92cfb333, 0xae17373615a27f5c, 0x3039239f428330c4, 0xa0c4b735ed7dcf98, 0x6e359771ddf6af6a, 0xe986e4cac4584651, 0x8233a2b622d5518, 0xbfd67bf5f06b818b, 0xdffe38d0f5b966a6, 0xa86b36a3272ee00a, 0x193e2ea4f68f}, + B: Fp{0x5a0f396459d9d998, 0x479f42250b1b7dda, 0x4016b57e2a15bf75, 0xc59f915203fa3749, 0xd5f90257399cf8da, 0x1fb2dadfd86dcef4, 0x600f20e6429021dc, 0x17e347d380c57581, 0xc1b0d5fa8fe3e440, 0xbcf035330ac20e8, 0x50c2eb5f6a4f03e6, 0x86b7c4571}}, + Z: params.OneFp2, + }, + // x(P-Q) + { + X: Fp2{ + A: Fp{0x4aafa9f378f7b5ff, 0x1172a683aa8eee0, 0xea518d8cbec2c1de, 0xe191bcbb63674557, 0x97bc19637b259011, 0xdbeae5c9f4a2e454, 0x78f64d1b72a42f95, 0xe71cb4ea7e181e54, 0xe4169d4c48543994, 0x6198c2286a98730f, 0xd21d675bbab1afa5, 0x2e7269fce391}, + B: Fp{0x23355783ce1d0450, 0x683164cf4ce3d93f, 0xae6d1c4d25970fd8, 0x7807007fb80b48cf, 0xa005a62ec2bbb8a2, 0x6b5649bd016004cb, 0xbb1a13fa1330176b, 0xbf38e51087660461, 0xe577fddc5dd7b930, 0x5f38116f56947cd3, 0x3124f30b98c36fde, 0x4ca9b6e6db37}}, + Z: params.OneFp2, + }, + } + scalar3Pt = [...]uint8{84, 222, 146, 63, 85, 18, 173, 162, 167, 38, 10, 8, 143, 176, 93, 228, 247, 128, 50, 128, 205, 42, 15, 137, 119, 67, 43, 3, 61, 91, 237, 24, 235, 12, 53, 96, 186, 164, 232, 223, 197, 224, 64, 109, 137, 63, 246, 4} +) + +var quickCheckConfig = &quick.Config{ + MaxCount: (1 << 15), +} diff --git a/src/circl/dh/sidh/internal/templates/arith_decl.gotemp b/src/circl/dh/sidh/internal/templates/arith_decl.gotemp new file mode 100644 index 00000000000..c7be93f42b8 --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/arith_decl.gotemp @@ -0,0 +1,45 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build amd64,!noasm{{if .OPT_ARM}} arm64,!noasm{{end}} + +package {{ .PACKAGE}} + +import ( + . "circl/dh/sidh/internal/common" +) + +// If choice = 0, leave x,y unchanged. If choice = 1, set x,y = y,x. +// If choice is neither 0 nor 1 then behaviour is undefined. +// This function executes in constant time. +//go:noescape +func cswap{{ .FIELD}}(x, y *Fp, choice uint8) + +// Compute z = x + y (mod p). +//go:noescape +func add{{ .FIELD}}(z, x, y *Fp) + +// Compute z = x - y (mod p). +//go:noescape +func sub{{ .FIELD}}(z, x, y *Fp) + +// Compute z = x + y, without reducing mod p. +//go:noescape +func adl{{ .FIELD}}(z, x, y *FpX2) + +// Compute z = x - y, without reducing mod p. +//go:noescape +func sul{{ .FIELD}}(z, x, y *FpX2) + +// Reduce a field element in [0, 2*p) to one in [0,p). +//go:noescape +func mod{{ .FIELD}}(x *Fp) + +// Computes z = x * y. +//go:noescape +func mul{{ .FIELD}}(z *FpX2, x, y *Fp) + +// Computes the Montgomery reduction z = x R^{-1} (mod 2*p). On return value +// of x may be changed. z=x not allowed. +//go:noescape +func rdc{{ .FIELD}}(z *Fp, x *FpX2) diff --git a/src/circl/dh/sidh/internal/templates/arith_generic.gotemp b/src/circl/dh/sidh/internal/templates/arith_generic.gotemp new file mode 100644 index 00000000000..f1ca6b97168 --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/arith_generic.gotemp @@ -0,0 +1,192 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +// +build {{if .OPT_ARM}}noasm !amd64,!arm64{{else}}noasm,arm64 !amd64{{end}} + +package {{ .PACKAGE}} + +import ( + "math/bits" + + "circl/dh/sidh/internal/common" +) + +// Compute z = x + y (mod p). +func add{{ .FIELD }}(z, x, y *common.Fp) { + var carry uint64 + + // z=x+y % {{ .FIELD }} + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } + + // z = z - {{ .FIELD}}x2 + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Sub64(z[i], {{ .FIELD}}x2[i], carry) + } + + // if z<0 add {{ .FIELD}}x2 back + mask := uint64(0 - carry) + carry = 0 + for i := 0; i < FpWords; i++ { + z[i], carry = bits.Add64(z[i], {{ .FIELD}}x2[i]&mask, carry) + } +} + +// Compute z = x - y (mod p). +func sub{{ .FIELD }}(z, x, y *common.Fp) { + var borrow uint64 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + mask := uint64(0 - borrow) + borrow = 0 + + for i := 0; i < FpWords; i++ { + z[i], borrow = bits.Add64(z[i], {{ .FIELD}}x2[i]&mask, borrow) + } +} + +// Conditionally swaps bits in x and y in constant time. +// mask indicates bits to be swapped (set bits are swapped) +// For details see "Hackers Delight, 2.20" +// +// Implementation doesn't actually depend on a prime field. +func cswap{{ .FIELD }}(x, y *common.Fp, mask uint8) { + var tmp, mask64 uint64 + + mask64 = 0 - uint64(mask) + for i := 0; i < FpWords; i++ { + tmp = mask64 & (x[i] ^ y[i]) + x[i] = tmp ^ x[i] + y[i] = tmp ^ y[i] + } +} + +// Perform Montgomery reduction: set z = x R^{-1} (mod 2*p) +// with R=2^(FpWords*64). Destroys the input value. +func rdc{{ .FIELD }}(z *common.Fp, x *common.FpX2) { + var carry, t, u, v uint64 + var hi, lo uint64 + var count int + + count = {{ .FIELD}}p1Zeros + + for i := 0; i < FpWords; i++ { + for j := 0; j < i; j++ { + if j < (i - count + 1) { + hi, lo = bits.Mul64(z[j], {{ .FIELD }}p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + t += carry + + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < 2*FpWords-1; i++ { + if count > 0 { + count-- + } + for j := i - FpWords + 1; j < FpWords; j++ { + if j < (FpWords - count) { + hi, lo = bits.Mul64(z[j], {{ .FIELD }}p1[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + } + v, carry = bits.Add64(v, x[i], 0) + u, carry = bits.Add64(u, 0, carry) + + t += carry + z[i-FpWords] = v + v = u + u = t + t = 0 + } + v, _ = bits.Add64(v, x[2*FpWords-1], 0) + z[FpWords-1] = v +} + +// Compute z = x * y. +func mul{{ .FIELD }}(z *common.FpX2, x, y *common.Fp) { + var u, v, t uint64 + var hi, lo uint64 + var carry uint64 + + for i := uint64(0); i < FpWords; i++ { + for j := uint64(0); j <= i; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + + for i := FpWords; i < (2*FpWords)-1; i++ { + for j := i - FpWords + 1; j < FpWords; j++ { + hi, lo = bits.Mul64(x[j], y[i-j]) + v, carry = bits.Add64(lo, v, 0) + u, carry = bits.Add64(hi, u, carry) + t += carry + } + z[i] = v + v = u + u = t + t = 0 + } + z[2*FpWords-1] = v +} + +// Compute z = x + y, without reducing mod p. +func adl{{ .FIELD }}(z, x, y *common.FpX2) { + var carry uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], carry = bits.Add64(x[i], y[i], carry) + } +} + +// Reduce a field element in [0, 2*p) to one in [0,p). +func mod{{ .FIELD }}(x *common.Fp) { + var borrow, mask uint64 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Sub64(x[i], {{ .FIELD }}[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := 0; i < FpWords; i++ { + x[i], borrow = bits.Add64(x[i], {{ .FIELD }}[i]&mask, borrow) + } +} + +// Compute z = x - y, without reducing mod p. +func sul{{ .FIELD }}(z, x, y *common.FpX2) { + var borrow, mask uint64 + for i := 0; i < 2*FpWords; i++ { + z[i], borrow = bits.Sub64(x[i], y[i], borrow) + } + + // Sets all bits if borrow = 1 + mask = 0 - borrow + borrow = 0 + for i := FpWords; i < 2*FpWords; i++ { + z[i], borrow = bits.Add64(z[i], {{ .FIELD }}[i-FpWords]&mask, borrow) + } +} diff --git a/src/circl/dh/sidh/internal/templates/arith_test.gotemp b/src/circl/dh/sidh/internal/templates/arith_test.gotemp new file mode 100644 index 00000000000..07d051aae25 --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/arith_test.gotemp @@ -0,0 +1,101 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package {{ .PACKAGE}} + +import ( + "testing" + + "circl/dh/sidh/internal/common" +) + +// Package-level storage for this field element is intended to deter +// compiler optimizations. +var ( + benchmarkFp common.Fp + benchmarkFpX2 common.FpX2 + bench_x = common.Fp{17026702066521327207, 5108203422050077993, 10225396685796065916, 11153620995215874678, 6531160855165088358, 15302925148404145445, 1248821577836769963, 9789766903037985294, 7493111552032041328, 10838999828319306046, 18103257655515297935, 27403304611634} + bench_y = common.Fp{4227467157325093378, 10699492810770426363, 13500940151395637365, 12966403950118934952, 16517692605450415877, 13647111148905630666, 14223628886152717087, 7167843152346903316, 15855377759596736571, 4300673881383687338, 6635288001920617779, 30486099554235} + bench_z = common.FpX2{1595347748594595712, 10854920567160033970, 16877102267020034574, 12435724995376660096, 3757940912203224231, 8251999420280413600, 3648859773438820227, 17622716832674727914, 11029567000887241528, 11216190007549447055, 17606662790980286987, 4720707159513626555, 12887743598335030915, 14954645239176589309, 14178817688915225254, 1191346797768989683, 12629157932334713723, 6348851952904485603, 16444232588597434895, 7809979927681678066, 14642637672942531613, 3092657597757640067, 10160361564485285723, 240071237} +) + +func TestFpCswap(t *testing.T) { + var one = common.Fp{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1} + var two = common.Fp{2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2} + + var x = one + var y = two + + cswap{{ .FIELD}}(&x, &y, 0) + for i := 0; i < FpWords; i++ { + if (x[i] != one[i]) || (y[i] != two[i]) { + t.Error("Found", x, "expected", two) + } + } + + cswap{{ .FIELD}}(&x, &y, 1) + for i := 0; i < FpWords; i++ { + if (x[i] != two[i]) || (y[i] != one[i]) { + t.Error("Found", x, "expected", two) + } + } +} + +// Benchmarking for field arithmetic +func BenchmarkMul(b *testing.B) { + for n := 0; n < b.N; n++ { + mul{{ .FIELD}}(&benchmarkFpX2, &bench_x, &bench_y) + } +} + +func BenchmarkRdc(b *testing.B) { + z := bench_z + + // This benchmark actually computes garbage, because + // rdc{{ .FIELD}} mangles its input, but since it's + // constant-time that shouldn't matter for the benchmarks. + for n := 0; n < b.N; n++ { + rdc{{ .FIELD}}(&benchmarkFp, &z) + } +} + +func BenchmarkAdd(b *testing.B) { + for n := 0; n < b.N; n++ { + add{{ .FIELD}}(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkSub(b *testing.B) { + for n := 0; n < b.N; n++ { + sub{{ .FIELD}}(&benchmarkFp, &bench_x, &bench_y) + } +} + +func BenchmarkCswap(b *testing.B) { + x, y := bench_x, bench_y + for n := 0; n < b.N; n++ { + cswap{{ .FIELD}}(&x, &y, 1) + cswap{{ .FIELD}}(&x, &y, 0) + } +} + +func BenchmarkMod(b *testing.B) { + x := bench_x + for n := 0; n < b.N; n++ { + mod{{ .FIELD}}(&x) + } +} + +func BenchmarkX2AddLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + adl{{ .FIELD}}(&x, &y, &z) + } +} + +func BenchmarkX2SubLazy(b *testing.B) { + x, y, z := bench_z, bench_z, bench_z + for n := 0; n < b.N; n++ { + sul{{ .FIELD}}(&x, &y, &z) + } +} diff --git a/src/circl/dh/sidh/internal/templates/core.gotemp b/src/circl/dh/sidh/internal/templates/core.gotemp new file mode 100644 index 00000000000..a1ce27a3a6e --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/core.gotemp @@ -0,0 +1,282 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package {{ .PACKAGE}} + +import ( + . "circl/dh/sidh/internal/common" +) + +// ----------------------------------------------------------------------------- +// Functions for traversing isogeny trees acoording to strategy. Key type 'A' is +// + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyA(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR needed +// for public key generation. +func traverseTreeSharedKeyA(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny4 + + cparam := CalcCurveParamsEquiv4(curve) + strat := params.A.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow2k(xR, &cparam, 2*k) + i += int(k) + } + cparam = phi.GenerateCurve(xR) + + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreePublicKeyB(curve *ProjectiveCurveParameters, xR, phiP, phiQ, phiR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + *phiP = phi.EvaluatePoint(phiP) + *phiQ = phi.EvaluatePoint(phiQ) + *phiR = phi.EvaluatePoint(phiR) + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Traverses isogeny tree in order to compute xR, xP, xQ and xQmP needed +// for public key generation. +func traverseTreeSharedKeyB(curve *ProjectiveCurveParameters, xR *ProjectivePoint) { + var points = make([]ProjectivePoint, 0, 8) + var indices = make([]int, 0, 8) + var i, sIdx int + var phi isogeny3 + + cparam := CalcCurveParamsEquiv3(curve) + strat := params.B.IsogenyStrategy + stratSz := len(strat) + + for j := 1; j <= stratSz; j++ { + for i <= stratSz-j { + points = append(points, *xR) + indices = append(indices, i) + + k := strat[sIdx] + sIdx++ + Pow3k(xR, &cparam, k) + i += int(k) + } + + cparam = phi.GenerateCurve(xR) + for k := 0; k < len(points); k++ { + points[k] = phi.EvaluatePoint(&points[k]) + } + + // pop xR from points + *xR, points = points[len(points)-1], points[:len(points)-1] + i, indices = int(indices[len(indices)-1]), indices[:len(indices)-1] + } +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenA(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPA, xQA, xRA ProjectivePoint + var xPB, xQB, xRB, xR ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny4 + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPA, &xQA, &xRA, params.A.SecretBitLen, prvBytes) + traverseTreePublicKeyA(¶ms.InitCurve, &xR, &xPB, &xQB, &xRB) + + // Secret isogeny + phi.GenerateCurve(&xR) + xPA = phi.EvaluatePoint(&xPB) + xQA = phi.EvaluatePoint(&xQB) + xRA = phi.EvaluatePoint(&xRB) + Fp2Batch3Inv(&xPA.Z, &xQA.Z, &xRA.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPA.X, &invZP) + mul(&pub3Pt[1], &xQA.X, &invZQ) + mul(&pub3Pt[2], &xRA.X, &invZR) +} + +// Generate a public key in the 2-torsion group. Public key is a set +// of three x-coordinates: xP,xQ,x(P-Q), where P,Q are points on E_a(Fp2) +func PublicKeyGenB(pub3Pt *[3]Fp2, prvBytes []byte) { + var xPB, xQB, xRB, xR ProjectivePoint + var xPA, xQA, xRA ProjectivePoint + var invZP, invZQ, invZR Fp2 + var phi isogeny3 + + // Load points for B + xRB = ProjectivePoint{X: params.B.AffineR, Z: params.OneFp2} + xQB = ProjectivePoint{X: params.B.AffineQ, Z: params.OneFp2} + xPB = ProjectivePoint{X: params.B.AffineP, Z: params.OneFp2} + + // Load points for A + xPA = ProjectivePoint{X: params.A.AffineP, Z: params.OneFp2} + xQA = ProjectivePoint{X: params.A.AffineQ, Z: params.OneFp2} + xRA = ProjectivePoint{X: params.A.AffineR, Z: params.OneFp2} + + // Find isogeny kernel + xR = ScalarMul3Pt(¶ms.InitCurve, &xPB, &xQB, &xRB, params.B.SecretBitLen, prvBytes) + traverseTreePublicKeyB(¶ms.InitCurve, &xR, &xPA, &xQA, &xRA) + + phi.GenerateCurve(&xR) + xPB = phi.EvaluatePoint(&xPA) + xQB = phi.EvaluatePoint(&xQA) + xRB = phi.EvaluatePoint(&xRA) + Fp2Batch3Inv(&xPB.Z, &xQB.Z, &xRB.Z, &invZP, &invZQ, &invZR) + + mul(&pub3Pt[0], &xPB.X, &invZP) + mul(&pub3Pt[1], &xQB.X, &invZQ) + mul(&pub3Pt[2], &xRB.X, &invZR) +} + +// ----------------------------------------------------------------------------- +// Key agreement functions +// + +// Establishing shared keys in in 2-torsion group +func DeriveSecretA(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny4 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.A.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyA(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients4(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} + +// Establishing shared keys in in 3-torsion group +func DeriveSecretB(ss, prv []byte, pub3Pt *[3]Fp2) { + var xP, xQ, xQmP ProjectivePoint + var xR ProjectivePoint + var phi isogeny3 + var jInv Fp2 + + // Recover curve coefficients + cparam := params.InitCurve + RecoverCoordinateA(&cparam, &pub3Pt[0], &pub3Pt[1], &pub3Pt[2]) + + // Find kernel of the morphism + xP = ProjectivePoint{X: pub3Pt[0], Z: params.OneFp2} + xQ = ProjectivePoint{X: pub3Pt[1], Z: params.OneFp2} + xQmP = ProjectivePoint{X: pub3Pt[2], Z: params.OneFp2} + xR = ScalarMul3Pt(&cparam, &xP, &xQ, &xQmP, params.B.SecretBitLen, prv) + + // Traverse isogeny tree + traverseTreeSharedKeyB(&cparam, &xR) + + // Calculate j-invariant on isogeneus curve + c := phi.GenerateCurve(&xR) + RecoverCurveCoefficients3(&cparam, &c) + Jinvariant(&cparam, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(ss, &jInv, params.Bytelen) +} diff --git a/src/circl/dh/sidh/internal/templates/curve.gotemp b/src/circl/dh/sidh/internal/templates/curve.gotemp new file mode 100644 index 00000000000..e272804db83 --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/curve.gotemp @@ -0,0 +1,362 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package {{ .PACKAGE}} + +import ( + . "circl/dh/sidh/internal/common" +) + +// Stores isogeny 3 curve constants +type isogeny3 struct { + K1 Fp2 + K2 Fp2 +} + +// Stores isogeny 4 curve constants +type isogeny4 struct { + isogeny3 + K3 Fp2 +} + +// Computes j-invariant for a curve y2=x3+A/Cx+x with A,C in F_(p^2). Result +// is returned in jBytes buffer, encoded in little-endian format. Caller +// provided jBytes buffer has to be big enough to j-invariant value. In case +// of SIDH, buffer size must be at least size of shared secret. +// Implementation corresponds to Algorithm 9 from SIKE. +func Jinvariant(cparams *ProjectiveCurveParameters, j *Fp2) { + var t0, t1 Fp2 + + sqr(j, &cparams.A) // j = A^2 + sqr(&t1, &cparams.C) // t1 = C^2 + add(&t0, &t1, &t1) // t0 = t1 + t1 + sub(&t0, j, &t0) // t0 = j - t0 + sub(&t0, &t0, &t1) // t0 = t0 - t1 + sub(j, &t0, &t1) // t0 = t0 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(j, j, &t1) // j = j * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&t1, &t0) // t1 = t0^2 + mul(&t0, &t0, &t1) // t0 = t0 * t1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t0, &t0, &t0) // t0 = t0 + t0 + inv(j, j) // j = 1/j + mul(j, &t0, j) // j = t0 * j +} + +// Given affine points x(P), x(Q) and x(Q-P) in a extension field F_{p^2}, function +// recorvers projective coordinate A of a curve. This is Algorithm 10 from SIKE. +func RecoverCoordinateA(curve *ProjectiveCurveParameters, xp, xq, xr *Fp2) { + var t0, t1 Fp2 + + add(&t1, xp, xq) // t1 = Xp + Xq + mul(&t0, xp, xq) // t0 = Xp * Xq + mul(&curve.A, xr, &t1) // A = X(q-p) * t1 + add(&curve.A, &curve.A, &t0) // A = A + t0 + mul(&t0, &t0, xr) // t0 = t0 * X(q-p) + sub(&curve.A, &curve.A, ¶ms.OneFp2) // A = A - 1 + add(&t0, &t0, &t0) // t0 = t0 + t0 + add(&t1, &t1, xr) // t1 = t1 + X(q-p) + add(&t0, &t0, &t0) // t0 = t0 + t0 + sqr(&curve.A, &curve.A) // A = A^2 + inv(&t0, &t0) // t0 = 1/t0 + mul(&curve.A, &curve.A, &t0) // A = A * t0 + sub(&curve.A, &curve.A, &t1) // A = A - t1 +} + +// Computes equivalence (A:C) ~ (A+2C : A-2C) +func CalcCurveParamsEquiv3(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coef CurveCoefficientsEquiv + var c2 Fp2 + + add(&c2, &cparams.C, &cparams.C) + // A24p = A+2*C + add(&coef.A, &cparams.A, &c2) + // A24m = A-2*C + sub(&coef.C, &cparams.A, &c2) + return coef +} + +// Computes equivalence (A:C) ~ (A+2C : 4C) +func CalcCurveParamsEquiv4(cparams *ProjectiveCurveParameters) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + + add(&coefEq.C, &cparams.C, &cparams.C) + // A24p = A+2C + add(&coefEq.A, &cparams.A, &coefEq.C) + // C24 = 4*C + add(&coefEq.C, &coefEq.C, &coefEq.C) + return coefEq +} + +// Helper function for RightToLeftLadder(). Returns A+2C / 4. +func CalcAplus2Over4(cparams *ProjectiveCurveParameters) (ret Fp2) { + var tmp Fp2 + + // 2C + add(&tmp, &cparams.C, &cparams.C) + // A+2C + add(&ret, &cparams.A, &tmp) + // 1/4C + add(&tmp, &tmp, &tmp) + inv(&tmp, &tmp) + // A+2C/4C + mul(&ret, &ret, &tmp) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:A-2C). +func RecoverCurveCoefficients3(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + add(&cparams.A, &coefEq.A, &coefEq.C) + // cparams.A = 2*(A+2C+A-2C) = 4A + add(&cparams.A, &cparams.A, &cparams.A) + // cparams.C = (A+2C-A+2C) = 4C + sub(&cparams.C, &coefEq.A, &coefEq.C) + return +} + +// Recovers (A:C) curve parameters from projectively equivalent (A+2C:4C). +func RecoverCurveCoefficients4(cparams *ProjectiveCurveParameters, coefEq *CurveCoefficientsEquiv) { + // cparams.C = (4C)*1/2=2C + mul(&cparams.C, &coefEq.C, ¶ms.HalfFp2) + // cparams.A = A+2C - 2C = A + sub(&cparams.A, &coefEq.A, &cparams.C) + // cparams.C = 2C * 1/2 = C + mul(&cparams.C, &cparams.C, ¶ms.HalfFp2) +} + +// Combined coordinate doubling and differential addition. Takes projective points +// P,Q,Q-P and (A+2C)/4C curve E coefficient. Returns 2*P and P+Q calculated on E. +// Function is used only by RightToLeftLadder. Corresponds to Algorithm 5 of SIKE +func xDbladd(P, Q, QmP *ProjectivePoint, a24 *Fp2) (dblP, PaQ ProjectivePoint) { + var t0, t1, t2 Fp2 + + xQmP, zQmP := &QmP.X, &QmP.Z + xPaQ, zPaQ := &PaQ.X, &PaQ.Z + x2P, z2P := &dblP.X, &dblP.Z + xP, zP := &P.X, &P.Z + xQ, zQ := &Q.X, &Q.Z + + add(&t0, xP, zP) // t0 = Xp+Zp + sub(&t1, xP, zP) // t1 = Xp-Zp + sqr(x2P, &t0) // 2P.X = t0^2 + sub(&t2, xQ, zQ) // t2 = Xq-Zq + add(xPaQ, xQ, zQ) // Xp+q = Xq+Zq + mul(&t0, &t0, &t2) // t0 = t0 * t2 + mul(z2P, &t1, &t1) // 2P.Z = t1 * t1 + mul(&t1, &t1, xPaQ) // t1 = t1 * Xp+q + sub(&t2, x2P, z2P) // t2 = 2P.X - 2P.Z + mul(x2P, x2P, z2P) // 2P.X = 2P.X * 2P.Z + mul(xPaQ, a24, &t2) // Xp+q = A24 * t2 + sub(zPaQ, &t0, &t1) // Zp+q = t0 - t1 + add(z2P, xPaQ, z2P) // 2P.Z = Xp+q + 2P.Z + add(xPaQ, &t0, &t1) // Xp+q = t0 + t1 + mul(z2P, z2P, &t2) // 2P.Z = 2P.Z * t2 + sqr(zPaQ, zPaQ) // Zp+q = Zp+q ^ 2 + sqr(xPaQ, xPaQ) // Xp+q = Xp+q ^ 2 + mul(zPaQ, xQmP, zPaQ) // Zp+q = Xq-p * Zp+q + mul(xPaQ, zQmP, xPaQ) // Xp+q = Zq-p * Xp+q + return +} + +// Given the curve parameters, xP = x(P), computes xP = x([2^k]P) +// Safe to overlap xP, x2P. +func Pow2k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t0, &t0) // t0 = t0 ^ 2 + sqr(&t1, &t1) // t1 = t1 ^ 2 + mul(z, ¶ms.C, &t0) // Z2p = C24 * t0 + mul(x, z, &t1) // X2p = Z2p * t1 + sub(&t1, &t1, &t0) // t1 = t1 - t0 + mul(&t0, ¶ms.A, &t1) // t0 = A24+ * t1 + add(z, z, &t0) // Z2p = Z2p + t0 + mul(z, z, &t1) // Zp = Z2p * t1 + } +} + +// Given the curve parameters, xP = x(P), and k >= 0, compute xP = x([3^k]P). +// +// Safe to overlap xP, xR. +func Pow3k(xP *ProjectivePoint, params *CurveCoefficientsEquiv, k uint32) { + var t0, t1, t2, t3, t4, t5, t6 Fp2 + + x, z := &xP.X, &xP.Z + for i := uint32(0); i < k; i++ { + sub(&t0, x, z) // t0 = Xp - Zp + sqr(&t2, &t0) // t2 = t0^2 + add(&t1, x, z) // t1 = Xp + Zp + sqr(&t3, &t1) // t3 = t1^2 + add(&t4, &t1, &t0) // t4 = t1 + t0 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t1, &t4) // t1 = t4^2 + sub(&t1, &t1, &t3) // t1 = t1 - t3 + sub(&t1, &t1, &t2) // t1 = t1 - t2 + mul(&t5, &t3, ¶ms.A) // t5 = t3 * A24+ + mul(&t3, &t3, &t5) // t3 = t5 * t3 + mul(&t6, &t2, ¶ms.C) // t6 = t2 * A24- + mul(&t2, &t2, &t6) // t2 = t2 * t6 + sub(&t3, &t2, &t3) // t3 = t2 - t3 + sub(&t2, &t5, &t6) // t2 = t5 - t6 + mul(&t1, &t2, &t1) // t1 = t2 * t1 + add(&t2, &t3, &t1) // t2 = t3 + t1 + sqr(&t2, &t2) // t2 = t2^2 + mul(x, &t2, &t4) // X3p = t2 * t4 + sub(&t1, &t3, &t1) // t1 = t3 - t1 + sqr(&t1, &t1) // t1 = t1^2 + mul(z, &t1, &t0) // Z3p = t1 * t0 + } +} + +// Set (y1, y2, y3) = (1/x1, 1/x2, 1/x3). +// +// All xi, yi must be distinct. +func Fp2Batch3Inv(x1, x2, x3, y1, y2, y3 *Fp2) { + var x1x2, t Fp2 + + mul(&x1x2, x1, x2) // x1*x2 + mul(&t, &x1x2, x3) // 1/(x1*x2*x3) + inv(&t, &t) + mul(y1, &t, x2) // 1/x1 + mul(y1, y1, x3) + mul(y2, &t, x1) // 1/x2 + mul(y2, y2, x3) + mul(y3, &t, &x1x2) // 1/x3 +} + +// Scalarmul3Pt is a right-to-left point multiplication that given the +// x-coordinate of P, Q and P-Q calculates the x-coordinate of R=Q+[scalar]P. +// nbits must be smaller or equal to len(scalar). +func ScalarMul3Pt(cparams *ProjectiveCurveParameters, P, Q, PmQ *ProjectivePoint, nbits uint, scalar []uint8) ProjectivePoint { + var R0, R2, R1 ProjectivePoint + aPlus2Over4 := CalcAplus2Over4(cparams) + R1 = *P + R2 = *PmQ + R0 = *Q + + // Iterate over the bits of the scalar, bottom to top + prevBit := uint8(0) + for i := uint(0); i < nbits; i++ { + bit := (scalar[i>>3] >> (i & 7) & 1) + swap := prevBit ^ bit + prevBit = bit + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, swap) + R0, R2 = xDbladd(&R0, &R2, &R1, &aPlus2Over4) + } + cswap(&R1.X, &R1.Z, &R2.X, &R2.Z, prevBit) + return R1 +} + +// Given a three-torsion point p = x(PB) on the curve E_(A:C), construct the +// three-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_3: ZP_3), where P_3 has exact order 3 on E_A/C +// Output: * Curve coordinates (A' + 2C', A' - 2C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny3) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var t0, t1, t2, t3, t4 Fp2 + var coefEq CurveCoefficientsEquiv + var K1, K2 = &phi.K1, &phi.K2 + + sub(K1, &p.X, &p.Z) // K1 = XP3 - ZP3 + sqr(&t0, K1) // t0 = K1^2 + add(K2, &p.X, &p.Z) // K2 = XP3 + ZP3 + sqr(&t1, K2) // t1 = K2^2 + add(&t2, &t0, &t1) // t2 = t0 + t1 + add(&t3, K1, K2) // t3 = K1 + K2 + sqr(&t3, &t3) // t3 = t3^2 + sub(&t3, &t3, &t2) // t3 = t3 - t2 + add(&t2, &t1, &t3) // t2 = t1 + t3 + add(&t3, &t3, &t0) // t3 = t3 + t0 + add(&t4, &t3, &t0) // t4 = t3 + t0 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t1, &t4) // t4 = t1 + t4 + mul(&coefEq.C, &t2, &t4) // A24m = t2 * t4 + add(&t4, &t1, &t2) // t4 = t1 + t2 + add(&t4, &t4, &t4) // t4 = t4 + t4 + add(&t4, &t0, &t4) // t4 = t0 + t4 + mul(&t4, &t3, &t4) // t4 = t3 * t4 + sub(&t0, &t4, &coefEq.C) // t0 = t4 - A24m + add(&coefEq.A, &coefEq.C, &t0) // A24p = A24m + t0 + return coefEq +} + +// Given a 3-isogeny phi and a point pB = x(PB), compute x(QB), the x-coordinate +// of the image QB = phi(PB) of PB under phi : E_(A:C) -> E_(A':C'). +// +// The output xQ = x(Q) is then a point on the curve E_(A':C'); the curve +// parameters are returned by the GenerateCurve function used to construct phi. +func (phi *isogeny3) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1, t2 Fp2 + var q ProjectivePoint + var K1, K2 = &phi.K1, &phi.K2 + var px, pz = &p.X, &p.Z + + add(&t0, px, pz) // t0 = XQ + ZQ + sub(&t1, px, pz) // t1 = XQ - ZQ + mul(&t0, K1, &t0) // t2 = K1 * t0 + mul(&t1, K2, &t1) // t1 = K2 * t1 + add(&t2, &t0, &t1) // t2 = t0 + t1 + sub(&t0, &t1, &t0) // t0 = t1 - t0 + sqr(&t2, &t2) // t2 = t2 ^ 2 + sqr(&t0, &t0) // t0 = t0 ^ 2 + mul(&q.X, px, &t2) // XQ'= XQ * t2 + mul(&q.Z, pz, &t0) // ZQ'= ZQ * t0 + return q +} + +// Given a four-torsion point p = x(PB) on the curve E_(A:C), construct the +// four-isogeny phi : E_(A:C) -> E_(A:C)/ = E_(A':C'). +// +// Input: (XP_4: ZP_4), where P_4 has exact order 4 on E_A/C +// Output: * Curve coordinates (A' + 2C', 4C') corresponding to E_A'/C' = A_E/C/ +// * Isogeny phi with constants in F_p^2 +func (phi *isogeny4) GenerateCurve(p *ProjectivePoint) CurveCoefficientsEquiv { + var coefEq CurveCoefficientsEquiv + var xp4, zp4 = &p.X, &p.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + sub(K2, xp4, zp4) + add(K3, xp4, zp4) + sqr(K1, zp4) + add(K1, K1, K1) + sqr(&coefEq.C, K1) + add(K1, K1, K1) + sqr(&coefEq.A, xp4) + add(&coefEq.A, &coefEq.A, &coefEq.A) + sqr(&coefEq.A, &coefEq.A) + return coefEq +} + +// Given a 4-isogeny phi and a point xP = x(P), compute x(Q), the x-coordinate +// of the image Q = phi(P) of P under phi : E_(A:C) -> E_(A':C'). +// +// Input: Isogeny returned by GenerateCurve and point q=(Qx,Qz) from E0_A/C +// Output: Corresponding point q from E1_A'/C', where E1 is 4-isogenous to E0 +func (phi *isogeny4) EvaluatePoint(p *ProjectivePoint) ProjectivePoint { + var t0, t1 Fp2 + var q = *p + var xq, zq = &q.X, &q.Z + var K1, K2, K3 = &phi.K1, &phi.K2, &phi.K3 + + add(&t0, xq, zq) + sub(&t1, xq, zq) + mul(xq, &t0, K2) + mul(zq, &t1, K3) + mul(&t0, &t0, &t1) + mul(&t0, &t0, K1) + add(&t1, xq, zq) + sub(zq, xq, zq) + sqr(&t1, &t1) + sqr(zq, zq) + add(xq, &t0, &t1) + sub(&t0, zq, &t0) + mul(xq, xq, &t1) + mul(zq, zq, &t0) + return q +} diff --git a/src/circl/dh/sidh/internal/templates/curve_test.gotemp b/src/circl/dh/sidh/internal/templates/curve_test.gotemp new file mode 100644 index 00000000000..487c13b774a --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/curve_test.gotemp @@ -0,0 +1,100 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package {{ .PACKAGE}} + +import ( + "bytes" + "testing" + + . "circl/dh/sidh/internal/common" +) + +func vartimeEqProjFp2(lhs, rhs *ProjectivePoint) bool { + var t0, t1 Fp2 + mul(&t0, &lhs.X, &rhs.Z) + mul(&t1, &lhs.Z, &rhs.X) + return vartimeEqFp2(&t0, &t1) +} + +func toAffine(point *ProjectivePoint) *Fp2 { + var affineX Fp2 + inv(&affineX, &point.Z) + mul(&affineX, &affineX, &point.X) + return &affineX +} + +func Test_jInvariant(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var jbufRes = make([]byte, params.SharedSecretSize) + var jbufExp = make([]byte, params.SharedSecretSize) + var jInv Fp2 + + Jinvariant(&curve, &jInv) + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufRes, &jInv, params.Bytelen) + + jInv = expectedJ + FromMontgomery(&jInv, &jInv) + Fp2ToBytes(jbufExp, &jInv, params.Bytelen) + + if !bytes.Equal(jbufRes[:], jbufExp[:]) { + t.Error("Computed incorrect j-invariant: found\n", jbufRes, "\nexpected\n", jbufExp) + } +} + +func TestProjectivePointVartimeEq(t *testing.T) { + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + xQ := xP + + // Scale xQ, which results in the same projective point + mul(&xQ.X, &xQ.X, &curveA) + mul(&xQ.Z, &xQ.Z, &curveA) + if !vartimeEqProjFp2(&xP, &xQ) { + t.Error("Expected the scaled point to be equal to the original") + } +} + +func TestPointMulVersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv4(&curve) + var xP ProjectivePoint + + // x 2 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 1) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP2) { + t.Error("\nExpected\n", affineXP2, "\nfound\n", afxQ) + } + + // x 4 + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow2k(&xP, &cparams, 2) + afxQ = toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP4) { + t.Error("\nExpected\n", affineXP4, "\nfound\n", afxQ) + } +} + +func TestPointMul9VersusSage(t *testing.T) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + var cparams = CalcCurveParamsEquiv3(&curve) + var xP ProjectivePoint + + xP = ProjectivePoint{X: affineXP, Z: params.OneFp2} + Pow3k(&xP, &cparams, 2) + afxQ := toAffine(&xP) + if !vartimeEqFp2(afxQ, &affineXP9) { + t.Error("\nExpected\n", affineXP9, "\nfound\n", afxQ) + } +} + +func BenchmarkThreePointLadder(b *testing.B) { + var curve = ProjectiveCurveParameters{A: curveA, C: curveC} + for n := 0; n < b.N; n++ { + ScalarMul3Pt(&curve, &threePointLadderInputs[0], &threePointLadderInputs[1], &threePointLadderInputs[2], uint(len(scalar3Pt)*8), scalar3Pt[:]) + } +} diff --git a/src/circl/dh/sidh/internal/templates/fp2.gotemp b/src/circl/dh/sidh/internal/templates/fp2.gotemp new file mode 100644 index 00000000000..1f9e612b1f1 --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/fp2.gotemp @@ -0,0 +1,195 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package {{ .PACKAGE}} + +import ( + "circl/dh/sidh/internal/common" +) + +// Montgomery multiplication. Input values must be already +// in Montgomery domain. +func mulP(dest, lhs, rhs *common.Fp) { + var ab common.FpX2 + mul{{ .FIELD}}(&ab, lhs, rhs) // = a*b*R*R + rdc{{ .FIELD}}(dest, &ab) // = a*b*R mod p +} + +// Set dest = x^((p-3)/4). If x is square, this is 1/sqrt(x). +// Uses variation of sliding-window algorithm from with window size +// of 5 and least to most significant bit sliding (left-to-right) +// See HAC 14.85 for general description. +// +// Allowed to overlap x with dest. +// All values in Montgomery domains +// Set dest = x^(2^k), for k >= 1, by repeated squarings. +func p34(dest, x *common.Fp) { + var lookup [16]common.Fp + + // This performs sum(powStrategy) + 1 squarings and len(lookup) + len(mulStrategy) + // multiplications. + powStrategy := {{ .P34_POW_STRATEGY}} + mulStrategy := {{ .P34_MUL_STRATEGY}} + initialMul := uint8({{ .P34_INITIAL_MUL}}) + + // Precompute lookup table of odd multiples of x for window + // size k=5. + var xx common.Fp + mulP(&xx, x, x) + lookup[0] = *x + for i := 1; i < 16; i++ { + mulP(&lookup[i], &lookup[i-1], &xx) + } + + // Now lookup = {x, x^3, x^5, ... } + // so that lookup[i] = x^{2*i + 1} + // so that lookup[k/2] = x^k, for odd k + *dest = lookup[initialMul] + for i := uint8(0); i < uint8(len(powStrategy)); i++ { + mulP(dest, dest, dest) + for j := uint8(1); j < powStrategy[i]; j++ { + mulP(dest, dest, dest) + } + mulP(dest, dest, &lookup[mulStrategy[i]]) + } +} + +func add(dest, lhs, rhs *common.Fp2) { + add{{ .FIELD}}(&dest.A, &lhs.A, &rhs.A) + add{{ .FIELD}}(&dest.B, &lhs.B, &rhs.B) +} + +func sub(dest, lhs, rhs *common.Fp2) { + sub{{ .FIELD}}(&dest.A, &lhs.A, &rhs.A) + sub{{ .FIELD}}(&dest.B, &lhs.B, &rhs.B) +} + +func mul(dest, lhs, rhs *common.Fp2) { + var bMinA, cMinD common.Fp + var ac, bd common.FpX2 + var adPlusBc common.FpX2 + var acMinBd common.FpX2 + + // Let (a,b,c,d) = (lhs.a,lhs.b,rhs.a,rhs.b). + // + // (a + bi)*(c + di) = (a*c - b*d) + (a*d + b*c)i + // + // Use Karatsuba's trick: note that + // + // (b - a)*(c - d) = (b*c + a*d) - a*c - b*d + // + // so (a*d + b*c) = (b-a)*(c-d) + a*c + b*d. + mul{{ .FIELD}}(&ac, &lhs.A, &rhs.A) // = a*c*R*R + mul{{ .FIELD}}(&bd, &lhs.B, &rhs.B) // = b*d*R*R + sub{{ .FIELD}}(&bMinA, &lhs.B, &lhs.A) // = (b-a)*R + sub{{ .FIELD}}(&cMinD, &rhs.A, &rhs.B) // = (c-d)*R + mul{{ .FIELD}}(&adPlusBc, &bMinA, &cMinD) // = (b-a)*(c-d)*R*R + adl{{ .FIELD}}(&adPlusBc, &adPlusBc, &ac) // = ((b-a)*(c-d) + a*c)*R*R + adl{{ .FIELD}}(&adPlusBc, &adPlusBc, &bd) // = ((b-a)*(c-d) + a*c + b*d)*R*R + rdc{{ .FIELD}}(&dest.B, &adPlusBc) // = (a*d + b*c)*R mod p + sul{{ .FIELD}}(&acMinBd, &ac, &bd) // = (a*c - b*d)*R*R + rdc{{ .FIELD}}(&dest.A, &acMinBd) // = (a*c - b*d)*R mod p +} + +// Set dest = 1/x +// +// Allowed to overlap dest with x. +// +// Returns dest to allow chaining operations. +func inv(dest, x *common.Fp2) { + var e1, e2 common.FpX2 + var f1, f2 common.Fp + + // We want to compute + // + // 1 1 (a - bi) (a - bi) + // -------- = -------- -------- = ----------- + // (a + bi) (a + bi) (a - bi) (a^2 + b^2) + // + // Letting c = 1/(a^2 + b^2), this is + // + // 1/(a+bi) = a*c - b*ci. + + mul{{ .FIELD}}(&e1, &x.A, &x.A) // = a*a*R*R + mul{{ .FIELD}}(&e2, &x.B, &x.B) // = b*b*R*R + adl{{ .FIELD}}(&e1, &e1, &e2) // = (a^2 + b^2)*R*R + rdc{{ .FIELD}}(&f1, &e1) // = (a^2 + b^2)*R mod p + // Now f1 = a^2 + b^2 + + mulP(&f2, &f1, &f1) + p34(&f2, &f2) + mulP(&f2, &f2, &f2) + mulP(&f2, &f2, &f1) + + mul{{ .FIELD}}(&e1, &x.A, &f2) + rdc{{ .FIELD}}(&dest.A, &e1) + + sub{{ .FIELD}}(&f1, &common.Fp{}, &x.B) + mul{{ .FIELD}}(&e1, &f1, &f2) + rdc{{ .FIELD}}(&dest.B, &e1) +} + +func sqr(dest, x *common.Fp2) { + var a2, aPlusB, aMinusB common.Fp + var a2MinB2, ab2 common.FpX2 + + a := &x.A + b := &x.B + + // (a + bi)*(a + bi) = (a^2 - b^2) + 2abi. + add{{ .FIELD}}(&a2, a, a) // = a*R + a*R = 2*a*R + add{{ .FIELD}}(&aPlusB, a, b) // = a*R + b*R = (a+b)*R + sub{{ .FIELD}}(&aMinusB, a, b) // = a*R - b*R = (a-b)*R + mul{{ .FIELD}}(&a2MinB2, &aPlusB, &aMinusB) // = (a+b)*(a-b)*R*R = (a^2 - b^2)*R*R + mul{{ .FIELD}}(&ab2, &a2, b) // = 2*a*b*R*R + rdc{{ .FIELD}}(&dest.A, &a2MinB2) // = (a^2 - b^2)*R mod p + rdc{{ .FIELD}}(&dest.B, &ab2) // = 2*a*b*R mod p +} + +// In case choice == 1, performs following swap in constant time: +// xPx <-> xQx +// xPz <-> xQz +// Otherwise returns xPx, xPz, xQx, xQz unchanged +func cswap(xPx, xPz, xQx, xQz *common.Fp2, choice uint8) { + cswap{{ .FIELD}}(&xPx.A, &xQx.A, choice) + cswap{{ .FIELD}}(&xPx.B, &xQx.B, choice) + cswap{{ .FIELD}}(&xPz.A, &xQz.A, choice) + cswap{{ .FIELD}}(&xPz.B, &xQz.B, choice) +} + +// Converts in.A and in.B to Montgomery domain and stores +// in 'out' +// out.A = in.A * R mod p +// out.B = in.B * R mod p +// Performs v = v*R^2*R^(-1) mod p, for both in.A and in.B +func ToMontgomery(out, in *common.Fp2) { + var aRR common.FpX2 + + // a*R*R + mul{{ .FIELD}}(&aRR, &in.A, &{{ .FIELD}}R2) + // a*R mod p + rdc{{ .FIELD}}(&out.A, &aRR) + mul{{ .FIELD}}(&aRR, &in.B, &{{ .FIELD}}R2) + rdc{{ .FIELD}}(&out.B, &aRR) +} + +// Converts in.A and in.B from Montgomery domain and stores +// in 'out' +// out.A = in.A mod p +// out.B = in.B mod p +// +// After returning from the call 'in' is not modified. +func FromMontgomery(out, in *common.Fp2) { + var aR common.FpX2 + + // convert from montgomery domain + copy(aR[:], in.A[:]) + rdc{{ .FIELD}}(&out.A, &aR) // = a mod p in [0, 2p) + mod{{ .FIELD}}(&out.A) // = a mod p in [0, p) + for i := range aR { + aR[i] = 0 + } + copy(aR[:], in.B[:]) + rdc{{ .FIELD}}(&out.B, &aR) + mod{{ .FIELD}}(&out.B) +} diff --git a/src/circl/dh/sidh/internal/templates/fp2_test.gotemp b/src/circl/dh/sidh/internal/templates/fp2_test.gotemp new file mode 100644 index 00000000000..3bab4442e47 --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/fp2_test.gotemp @@ -0,0 +1,245 @@ +// Code generated by go generate; DO NOT EDIT. +// This file was generated by robots. + +package {{ .PACKAGE}} + +import ( + "math/rand" + "reflect" + "testing" + "testing/quick" + + "circl/dh/sidh/internal/common" +) + +type testParams struct { + Point common.ProjectivePoint + Cparam common.ProjectiveCurveParameters + ExtElem common.Fp2 +} + +// Returns true if lhs = rhs. Takes variable time. +func vartimeEqFp2(lhs, rhs *common.Fp2) bool { + a := *lhs + b := *rhs + + mod{{ .FIELD}}(&a.A) + mod{{ .FIELD}}(&a.B) + mod{{ .FIELD}}(&b.A) + mod{{ .FIELD}}(&b.B) + + eq := true + for i := 0; i < FpWords && eq; i++ { + eq = eq && (a.A[i] == b.A[i]) + eq = eq && (a.B[i] == b.B[i]) + } + return eq +} + +func (testParams) generateFp2(rand *rand.Rand) common.Fp2 { + // Generation strategy: low limbs taken from [0,2^64); high limb + // taken from smaller range + // + // Size hint is ignored since all elements are fixed size. + // + // Field elements taken in range [0,2p). Emulate this by capping + // the high limb by the top digit of 2*p-1: + // + // sage: (2*p-1).digits(2^64)[-1] + // + // This still allows generating values >= 2p, but hopefully that + // excess is OK (and if it's not, we'll find out, because it's for + // testing...) + highLimb := rand.Uint64() % {{ .FIELD}}x2[FpWords-1] + fpElementGen := func() (fp common.Fp) { + for i := 0; i < (FpWords - 1); i++ { + fp[i] = rand.Uint64() + } + fp[FpWords-1] = highLimb + return fp + } + return common.Fp2{A: fpElementGen(), B: fpElementGen()} +} + +func (c testParams) Generate(rand *rand.Rand, size int) reflect.Value { + return reflect.ValueOf( + testParams{ + common.ProjectivePoint{ + X: c.generateFp2(rand), + Z: c.generateFp2(rand), + }, + common.ProjectiveCurveParameters{ + A: c.generateFp2(rand), + C: c.generateFp2(rand), + }, + c.generateFp2(rand), + }) +} + +func TestOne(t *testing.T) { + var tmp common.Fp2 + + mul(&tmp, ¶ms.OneFp2, ¶ms.A.AffineP) + if !vartimeEqFp2(&tmp, ¶ms.A.AffineP) { + t.Error("Not equal 1") + } +} + +func TestFp2ToBytesRoundTrip(t *testing.T) { + roundTrips := func(x testParams) bool { + var xBytes = make([]byte, 2*params.Bytelen) + var xPrime common.Fp2 + + common.Fp2ToBytes(xBytes[:], &x.ExtElem, params.Bytelen) + common.BytesToFp2(&xPrime, xBytes[:], params.Bytelen) + return vartimeEqFp2(&xPrime, &x.ExtElem) + } + + if err := quick.Check(roundTrips, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulDistributesOverAdd(t *testing.T) { + mulDistributesOverAdd := func(x, y, z testParams) bool { + // Compute t1 = (x+y)*z + t1 := new(common.Fp2) + add(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = x*z + y*z + t2 := new(common.Fp2) + t3 := new(common.Fp2) + mul(t2, &x.ExtElem, &z.ExtElem) + mul(t3, &y.ExtElem, &z.ExtElem) + add(t2, t2, t3) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(mulDistributesOverAdd, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2MulIsAssociative(t *testing.T) { + isAssociative := func(x, y, z testParams) bool { + // Compute t1 = (x*y)*z + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &y.ExtElem) + mul(t1, t1, &z.ExtElem) + + // Compute t2 = (y*z)*x + t2 := new(common.Fp2) + mul(t2, &y.ExtElem, &z.ExtElem) + mul(t2, t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(isAssociative, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2SquareMatchesMul(t *testing.T) { + sqrMatchesMul := func(x testParams) bool { + // Compute t1 = (x*x) + t1 := new(common.Fp2) + mul(t1, &x.ExtElem, &x.ExtElem) + + // Compute t2 = x^2 + t2 := new(common.Fp2) + sqr(t2, &x.ExtElem) + + return vartimeEqFp2(t1, t2) + } + + if err := quick.Check(sqrMatchesMul, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Inv(t *testing.T) { + inverseIsCorrect := func(x testParams) bool { + z := new(common.Fp2) + inv(z, &x.ExtElem) + + // Now z = (1/x), so (z * x) * x == x + mul(z, z, &x.ExtElem) + mul(z, z, &x.ExtElem) + + return vartimeEqFp2(z, &x.ExtElem) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 11)} + if err := quick.Check(inverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func TestFp2Batch3Inv(t *testing.T) { + batchInverseIsCorrect := func(x1, x2, x3 testParams) bool { + var x1Inv, x2Inv, x3Inv common.Fp2 + inv(&x1Inv, &x1.ExtElem) + inv(&x2Inv, &x2.ExtElem) + inv(&x3Inv, &x3.ExtElem) + + var y1, y2, y3 common.Fp2 + Fp2Batch3Inv(&x1.ExtElem, &x2.ExtElem, &x3.ExtElem, &y1, &y2, &y3) + + return (vartimeEqFp2(&x1Inv, &y1) && vartimeEqFp2(&x2Inv, &y2) && vartimeEqFp2(&x3Inv, &y3)) + } + + // This is more expensive; run fewer tests + var quickCheckConfig = &quick.Config{MaxCount: (1 << 8)} + if err := quick.Check(batchInverseIsCorrect, quickCheckConfig); err != nil { + t.Error(err) + } +} + +func BenchmarkFp2Mul(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + mul(w, z, z) + } +} + +func BenchmarkFp2Inv(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + inv(w, z) + } +} + +func BenchmarkFp2Square(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sqr(w, z) + } +} + +func BenchmarkFp2Add(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + add(w, z, z) + } +} + +func BenchmarkFp2Sub(b *testing.B) { + z := &common.Fp2{A: bench_x, B: bench_y} + w := new(common.Fp2) + + for n := 0; n < b.N; n++ { + sub(w, z, z) + } +} diff --git a/src/circl/dh/sidh/internal/templates/gen.go b/src/circl/dh/sidh/internal/templates/gen.go new file mode 100644 index 00000000000..bfb9974527c --- /dev/null +++ b/src/circl/dh/sidh/internal/templates/gen.go @@ -0,0 +1,106 @@ +// The following directive is necessary to make the package coherent: + +// +build ignore + +// This program generates contributors.go. It can be invoked by running +// go generate +package main + +import ( + "fmt" + "os" + "strings" + "text/template" +) + +var p34 = map[string]struct { + pow_strategy string + mul_strategy string + mul_initial int +}{ + "P434": { + pow_strategy: "[]uint8{3, 10, 7, 5, 6, 5, 3, 8, 4, 7, 5, 6, 4, 5, 9, 6, 3, 11, 5, 5, 2, 8, 4, 7, 7, 8, 5, 6, 4, 8, 5, 2, 10, 6, 5, 4, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1}", + mul_strategy: "[]uint8{2, 15, 9, 8, 14, 12, 2, 8, 5, 15, 8, 15, 6, 6, 3, 2, 0, 10, 9, 13, 1, 12, 3, 7, 1, 10, 8, 11, 2, 15, 14, 1, 11, 12, 14, 3, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 0}", + mul_initial: 8, + }, + "P503": { + pow_strategy: "[]uint8{12, 5, 5, 2, 7, 11, 3, 8, 4, 11, 4, 7, 5, 6, 3, 7, 5, 7, 2, 12, 5, 6, 4, 6, 8, 6, 4, 7, 5, 5, 8, 5, 8, 5, 5, 8, 9, 3, 6, 2, 10, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3}", + mul_strategy: "[]uint8{12, 11, 10, 0, 1, 8, 3, 7, 1, 8, 3, 6, 7, 14, 2, 14, 14, 9, 0, 13, 9, 15, 5, 12, 7, 13, 7, 15, 6, 7, 9, 0, 5, 7, 6, 8, 8, 3, 7, 0, 10, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 3}", + mul_initial: 0, + }, + "P751": { + pow_strategy: "[]uint8{5, 7, 6, 2, 10, 4, 6, 9, 8, 5, 9, 4, 7, 5, 5, 4, 8, 3, 9, 5, 5, 4, 10, 4, 6, 6, 6, 5, 8, 9, 3, 4, 9, 4, 5, 6, 6, 2, 9, 4, 5, 5, 5, 7, 7, 9, 4, 6, 4, 8, 5, 8, 6, 6, 2, 9, 7, 4, 8, 8, 8, 4, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2}", + mul_strategy: "[]uint8{15, 11, 10, 0, 15, 3, 3, 3, 4, 4, 9, 7, 11, 11, 5, 3, 12, 2, 10, 8, 5, 2, 8, 3, 5, 4, 11, 4, 0, 9, 2, 1, 12, 7, 5, 14, 15, 0, 14, 5, 6, 4, 5, 13, 6, 9, 7, 15, 1, 14, 11, 15, 12, 5, 0, 10, 9, 7, 7, 10, 14, 6, 11, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 1}", + mul_initial: 13, + }, +} + +// P434 optimized implementation for +// ARM64 is not ported yet +var opt_arm = map[string]bool{ + "P434": false, + "P503": true, + "P751": true, +} + +// Generates an 'fileNameBase.go' from 'fileNameBase.gotemp' file +// for a given finite 'field'. Maps placeholders to 'values'. +func gen(field, fileNameBase string, values interface{}) { + // name of the output .go file + outFileName := fileNameBase + ".go" + out, err := os.Create(outFileName) + if err != nil { + panic("Cannot open file") + } + + // Template files are located in ../templates and have + // extension .gotemp + templateFile := "../templates/" + fileNameBase + ".gotemp" + t, err := template.ParseFiles(templateFile) + if err != nil { + panic(fmt.Sprintf("Cannot open template file %s", templateFile)) + } + + t.Execute(out, values) + err = out.Close() + if err != nil { + panic("Cant close generated file") + } +} + +func main() { + field := os.Args[1] + + s := struct { + FIELD string + PACKAGE string + P34_POW_STRATEGY string + P34_MUL_STRATEGY string + P34_INITIAL_MUL int + OPT_ARM bool + }{ + FIELD: field, + PACKAGE: strings.ToLower(field), + P34_POW_STRATEGY: p34[field].pow_strategy, + P34_MUL_STRATEGY: p34[field].mul_strategy, + P34_INITIAL_MUL: p34[field].mul_initial, + OPT_ARM: opt_arm[field], + } + + targets := map[string]interface{}{ + "arith_decl": s, + "arith_generic": s, + "curve": s, + "fp2": s, + "core": s, + + // tests + "arith_test": s, + "fp2_test": s, + "curve_test": s, + } + + for v, s := range targets { + gen(field, v, s) + } +} diff --git a/src/circl/dh/sidh/sidh.go b/src/circl/dh/sidh/sidh.go new file mode 100644 index 00000000000..ad911d86e11 --- /dev/null +++ b/src/circl/dh/sidh/sidh.go @@ -0,0 +1,289 @@ +package sidh + +import ( + "errors" + "io" + + "circl/dh/sidh/internal/common" + "circl/dh/sidh/internal/p434" + "circl/dh/sidh/internal/p503" + "circl/dh/sidh/internal/p751" +) + +// I keep it bool in order to be able to apply logical NOT. +type KeyVariant uint + +// Base type for public and private key. Used mainly to carry domain +// parameters. +type key struct { + // Domain parameters of the algorithm to be used with a key + params *common.SidhParams + // Flag indicates whether corresponds to 2-, 3-torsion group or SIKE + keyVariant KeyVariant +} + +// Defines operations on public key +type PublicKey struct { + key + // x-coordinates of P,Q,P-Q in this exact order + affine3Pt [3]common.Fp2 +} + +// Defines operations on private key +type PrivateKey struct { + key + // Secret key + Scalar []byte + // Used only by KEM + S []byte +} + +// Id's correspond to bitlength of the prime field characteristic +// Currently Fp751 is the only one supported by this implementation +const ( + Fp434 = common.Fp434 + Fp503 = common.Fp503 + Fp751 = common.Fp751 +) + +const ( + // First 2 bits identify SIDH variant third bit indicates + // whether key is a SIKE variant (set) or SIDH (not set) + + // 001 - SIDH: corresponds to 2-torsion group + KeyVariantSidhA KeyVariant = 1 << 0 + // 010 - SIDH: corresponds to 3-torsion group + KeyVariantSidhB = 1 << 1 + // 110 - SIKE + KeyVariantSike = 1<<2 | KeyVariantSidhB +) + +// Accessor to key variant. +func (key *key) Variant() KeyVariant { + return key.keyVariant +} + +// NewPublicKey initializes public key. +// Usage of this function guarantees that the object is correctly initialized. +func NewPublicKey(id uint8, v KeyVariant) *PublicKey { + return &PublicKey{key: key{params: common.Params(id), keyVariant: v}} +} + +// Import clears content of the public key currently stored in the structure +// and imports key stored in the byte string. Returns error in case byte string +// size is wrong. Doesn't perform any validation. +func (pub *PublicKey) Import(input []byte) error { + if len(input) != pub.Size() { + return errors.New("sidh: input to short") + } + ssSz := pub.params.SharedSecretSize + common.BytesToFp2(&pub.affine3Pt[0], input[0:ssSz], pub.params.Bytelen) + common.BytesToFp2(&pub.affine3Pt[1], input[ssSz:2*ssSz], pub.params.Bytelen) + common.BytesToFp2(&pub.affine3Pt[2], input[2*ssSz:3*ssSz], pub.params.Bytelen) + switch pub.params.ID { + case Fp434: + p434.ToMontgomery(&pub.affine3Pt[0], &pub.affine3Pt[0]) + p434.ToMontgomery(&pub.affine3Pt[1], &pub.affine3Pt[1]) + p434.ToMontgomery(&pub.affine3Pt[2], &pub.affine3Pt[2]) + case Fp503: + p503.ToMontgomery(&pub.affine3Pt[0], &pub.affine3Pt[0]) + p503.ToMontgomery(&pub.affine3Pt[1], &pub.affine3Pt[1]) + p503.ToMontgomery(&pub.affine3Pt[2], &pub.affine3Pt[2]) + case Fp751: + p751.ToMontgomery(&pub.affine3Pt[0], &pub.affine3Pt[0]) + p751.ToMontgomery(&pub.affine3Pt[1], &pub.affine3Pt[1]) + p751.ToMontgomery(&pub.affine3Pt[2], &pub.affine3Pt[2]) + default: + panic("Unsupported key") + } + return nil +} + +// Exports currently stored key. In case structure hasn't been filled with key data +// returned byte string is filled with zeros. +func (pub *PublicKey) Export(out []byte) { + var feTmp [3]common.Fp2 + ssSz := pub.params.SharedSecretSize + switch pub.params.ID { + case Fp434: + p434.FromMontgomery(&feTmp[0], &pub.affine3Pt[0]) + p434.FromMontgomery(&feTmp[1], &pub.affine3Pt[1]) + p434.FromMontgomery(&feTmp[2], &pub.affine3Pt[2]) + case Fp503: + p503.FromMontgomery(&feTmp[0], &pub.affine3Pt[0]) + p503.FromMontgomery(&feTmp[1], &pub.affine3Pt[1]) + p503.FromMontgomery(&feTmp[2], &pub.affine3Pt[2]) + case Fp751: + p751.FromMontgomery(&feTmp[0], &pub.affine3Pt[0]) + p751.FromMontgomery(&feTmp[1], &pub.affine3Pt[1]) + p751.FromMontgomery(&feTmp[2], &pub.affine3Pt[2]) + default: + panic("Unsupported key") + } + common.Fp2ToBytes(out[0:ssSz], &feTmp[0], pub.params.Bytelen) + common.Fp2ToBytes(out[ssSz:2*ssSz], &feTmp[1], pub.params.Bytelen) + common.Fp2ToBytes(out[2*ssSz:3*ssSz], &feTmp[2], pub.params.Bytelen) +} + +// Size returns size of the public key in bytes. +func (pub *PublicKey) Size() int { + return pub.params.PublicKeySize +} + +// NewPrivateKey initializes private key. +// Usage of this function guarantees that the object is correctly initialized. +func NewPrivateKey(id uint8, v KeyVariant) *PrivateKey { + prv := &PrivateKey{key: key{params: common.Params(id), keyVariant: v}} + if (v & KeyVariantSidhA) == KeyVariantSidhA { + prv.Scalar = make([]byte, prv.params.A.SecretByteLen) + } else { + prv.Scalar = make([]byte, prv.params.B.SecretByteLen) + } + if v == KeyVariantSike { + prv.S = make([]byte, prv.params.MsgLen) + } + return prv +} + +// Exports currently stored key. In case structure hasn't been filled with key data +// returned byte string is filled with zeros. +func (prv *PrivateKey) Export(out []byte) { + copy(out, prv.S) + copy(out[len(prv.S):], prv.Scalar) +} + +// Size returns size of the private key in bytes. +func (prv *PrivateKey) Size() int { + tmp := len(prv.Scalar) + if prv.Variant() == KeyVariantSike { + tmp += prv.params.MsgLen + } + return tmp +} + +// Size returns size of the shared secret. +func (prv *PrivateKey) SharedSecretSize() int { + return prv.params.SharedSecretSize +} + +// Import clears content of the private key currently stored in the structure +// and imports key from octet string. In case of SIKE, the random value 'S' +// must be prepended to the value of actual private key (see SIKE spec for details). +// Function doesn't import public key value to PrivateKey object. +func (prv *PrivateKey) Import(input []byte) error { + if len(input) != prv.Size() { + return errors.New("sidh: input to short") + } + copy(prv.S, input[:len(prv.S)]) + copy(prv.Scalar, input[len(prv.S):]) + return nil +} + +// Generates random private key for SIDH or SIKE. Generated value is +// formed as little-endian integer from key-space <2^(e2-1)..2^e2 - 1> +// for KeyVariant_A or <2^(s-1)..2^s - 1>, where s = floor(log_2(3^e3)), +// for KeyVariant_B. +// +// Returns error in case user provided RNG fails. +func (prv *PrivateKey) Generate(rand io.Reader) error { + var dp *common.DomainParams + + if (prv.keyVariant & KeyVariantSidhA) == KeyVariantSidhA { + dp = &prv.params.A + } else { + dp = &prv.params.B + } + + if prv.keyVariant == KeyVariantSike { + if _, err := io.ReadFull(rand, prv.S); err != nil { + return err + } + } + + // Private key generation takes advantage of the fact that keyspace for secret + // key is (0, 2^x - 1), for some positive value of 'x' (see SIKE, 1.3.8). + // It means that all bytes in the secret key, but the last one, can take any + // value between <0x00,0xFF>. Similarly for the last byte, but generation + // needs to chop off some bits, to make sure generated value is an element of + // a key-space. + if _, err := io.ReadFull(rand, prv.Scalar); err != nil { + return err + } + + prv.Scalar[len(prv.Scalar)-1] &= (1 << (dp.SecretBitLen % 8)) - 1 + // Make sure scalar is SecretBitLen long. SIKE spec says that key + // space starts from 0, but I'm not comfortable with having low + // value scalars used for private keys. It is still secure as per + // table 5.1 in [SIKE]. + prv.Scalar[len(prv.Scalar)-1] |= 1 << ((dp.SecretBitLen % 8) - 1) + + return nil +} + +// Generates public key. +func (prv *PrivateKey) GeneratePublicKey(pub *PublicKey) { + var isA = (prv.keyVariant & KeyVariantSidhA) == KeyVariantSidhA + + if (pub.keyVariant != prv.keyVariant) || (pub.params.ID != prv.params.ID) { + panic("sidh: incompatible public key") + } + + switch prv.params.ID { + case Fp434: + if isA { + p434.PublicKeyGenA(&pub.affine3Pt, prv.Scalar) + } else { + p434.PublicKeyGenB(&pub.affine3Pt, prv.Scalar) + } + case Fp503: + if isA { + p503.PublicKeyGenA(&pub.affine3Pt, prv.Scalar) + } else { + p503.PublicKeyGenB(&pub.affine3Pt, prv.Scalar) + } + case Fp751: + if isA { + p751.PublicKeyGenA(&pub.affine3Pt, prv.Scalar) + } else { + p751.PublicKeyGenB(&pub.affine3Pt, prv.Scalar) + } + default: + panic("Field not supported") + } +} + +// Computes a SIDH shared secret. Function requires that pub has different +// KeyVariant than prv. Length of returned output is 2*ceil(log_2 P)/8), +// where P is a prime defining finite field. +// +// Caller must make sure key SIDH key pair is not used more than once. +func (prv *PrivateKey) DeriveSecret(ss []byte, pub *PublicKey) { + var isA = (prv.keyVariant & KeyVariantSidhA) == KeyVariantSidhA + + if (pub.keyVariant == prv.keyVariant) || (pub.params.ID != prv.params.ID) { + panic("sidh: public and private are incompatible") + } + + switch prv.params.ID { + case Fp434: + if isA { + p434.DeriveSecretA(ss, prv.Scalar, &pub.affine3Pt) + } else { + p434.DeriveSecretB(ss, prv.Scalar, &pub.affine3Pt) + } + case Fp503: + if isA { + p503.DeriveSecretA(ss, prv.Scalar, &pub.affine3Pt) + } else { + p503.DeriveSecretB(ss, prv.Scalar, &pub.affine3Pt) + } + case Fp751: + if isA { + p751.DeriveSecretA(ss, prv.Scalar, &pub.affine3Pt) + } else { + p751.DeriveSecretB(ss, prv.Scalar, &pub.affine3Pt) + } + default: + panic("Field not supported") + } +} diff --git a/src/circl/dh/sidh/sidh_test.go b/src/circl/dh/sidh/sidh_test.go new file mode 100644 index 00000000000..9f1e821965c --- /dev/null +++ b/src/circl/dh/sidh/sidh_test.go @@ -0,0 +1,613 @@ +package sidh + +import ( + "bytes" + "crypto/rand" + "encoding/hex" + "fmt" + "math/big" + "testing" + + "circl/dh/sidh/internal/common" + . "circl/internal/test" +) + +/* ------------------------------------------------------------------------- + Test data + -------------------------------------------------------------------------*/ +type sidhVec struct { + id uint8 + name string + PkA string + PrA string + PkB string + PrB string +} + +var tdataSidh = map[uint8]sidhVec{ + Fp434: { + id: Fp434, + name: "P-434", + PrA: "3A727E04EA9B7E2A766A6F846489E7E7B915263BCEED308BB10FC900", + PrB: "E37BFE55B43B32448F375903D8D226EC94ADBFEA1D2B3536EB987001", + PkA: "9E668D1E6750ED4B91EE052C32839CA9DD2E56D52BC24DECC950AAAD" + + "24CEED3F9049C77FE80F0B9B01E7F8DAD7833EEC2286544D6380009C" + + "379CDD3E7517CEF5E20EB01F8231D52FC30DC61D2F63FB357F85DC63" + + "96E8A95DB9740BD3A972C8DB7901B31F074CD3E45345CA78F9008171" + + "30E688A29A7CF0073B5C00FF2C65FBE776918EF9BD8E75B29EF7FAB7" + + "91969B60B0C5B37A8992EDEF95FA7BAC40A95DAFE02E237301FEE9A7" + + "A43FD0B73477E8035DD12B73FAFEF18D39904DDE3653A754F36BE188" + + "8F6607C6A7951349A414352CF31A29F2C40302DB406C48018C905EB9" + + "DC46AFBF42A9187A9BB9E51B587622A2862DC7D5CC598BF38ED6320F" + + "B51D8697AD3D7A72ABCC32A393F0133DA8DF5E253D9E00B760B2DF34" + + "2FCE974DCFE946CFE4727783531882800F9E5DD594D6D5A6275EEFEF" + + "9713ED838F4A06BB34D7B8D46E0B385AAEA1C7963601", + PkB: "C9F73E4497AAA3FDF9EB688135866A8A83934BA10E273B8CC3808CF0" + + "C1F5FAB3E9BB295885881B73DEBC875670C0F51C4BB40DF5FEDE01B8" + + "AF32D1BF10508B8C17B2734EB93B2B7F5D84A4A0F2F816E9E2C32AC2" + + "53C0B6025B124D05A87A9E2A8567930F44BAA14219B941B6B400B4AE" + + "D1D796DA12A5A9F0B8F3F5EE9DD43F64CB24A3B1719DF278ADF56B5F" + + "3395187829DA2319DEABF6BBD6EDA244DE2B62CC5AC250C1009DD1CD" + + "4712B0B37406612AD002B5E51A62B51AC9C0374D143ABBBD58275FAF" + + "C4A5E959C54838C2D6D9FB43B7B2609061267B6A2E6C6D01D295C422" + + "3E0D3D7A4CDCFB28A7818A737935279751A6DD8290FD498D1F6AD5F4" + + "FFF6BDFA536713F509DCE8047252F1E7D0DD9FCC414C0070B5DCCE36" + + "65A21A032D7FBE749181032183AFAD240B7E671E87FBBEC3A8CA4C11" + + "AA7A9A23AC69AE2ACF54B664DECD27753D63508F1B02", + }, + Fp503: { + id: Fp503, + name: "P-503", + PrA: "D5B94224FA1AD1701EC277FDA83462D09E87181C2E583C5F09FD446A43F25103", + PrB: "FF0EF91753D71D83D912656856086007AD2CF3B2A979B2BD63E5313BFD276506", + PkA: "FFB9A589DBB3975A20373F1AD3B449880E1DA47916FCD7C751A019AAA8E95A03" + + "4ADA1AE8BFCF6FBF70F323713318E25315DE865B29C9124982594BF78CD61C09" + + "B98C22307DFD4FC0958C58EC0D144828006E510FA4072D721B48D1A3CFEA02F6" + + "062324FE1B68F457CF29BD4EB1FB68D0684EE69F53A3FAC327404341BB39365B" + + "5DE885034C9A6DD6798CB08126183C696D0302730D489584AC8D6BCADF3AB4DE" + + "FFC227D3B1701462DA15BF68EF2B07C44712DB5429B74063202F43DC0EA7919D" + + "B95025B2B03E5A3EBF57FF37E21838CE8F5531F491315E576A260DC2F515DDF2" + + "4DEDE54CA69737CE6442B4219CD472D9CCCF8AF12B5C5B23ACB9C22929924ABA" + + "52C820932C82435518B920AFC43F2041263AE98D29E58B73F33A5DD42AAC7533" + + "404B4AC2B83DD2C7BEA7676930B6007CC185C264672B75F5332C18429BBC7B0F" + + "2EA3F746995A298E7443FFB0C1B27DCA7D19635064AF3B87938960587F56B724" + + "C1EF1FF012B056D7301F8713295B7734563542D4259B8BEA260C", + PkB: "AA3303F79FCE4855DE125B239D10BEC3B7082E55B08C769A9765F1BF41A31210" + + "66382D6BF2857D85138CC17D69593B8FC7703D22C553FB077DFB3AC577CF1E55" + + "2AED6DC0368123E01DDD70059A47E31E06423D2F697A3DA5D621EB5FF2A52EE7" + + "CA7D3BD01B427AC14CB6099E03C6639A3BAC9B939297CEB10F276F93CF16A1EE" + + "1B8085DE3DA037C911491B145B034A47B42A996A61C2313FEF166FD3665B0AE8" + + "C201A268DA01AB52E4759ACCC1DD09685A17CDA5D44AF847931ABB221D62E241" + + "2329394445ADFD662C77472A9268F40AB540177C0E6F1D59026E595C46FBED2F" + + "703838C5F3D7A811B500237596C5E960AA1F2989C5F17DD60D8A752569DBF250" + + "E01C63C9790D014CE05A9D8683814A320E30185E478AF9ABD761DADDA8DE7E3E" + + "A53C224AC8313C176D14BD0F04AB09A9D0D0302ACBF768EB4DB03681EAE3BC10" + + "21CAA429A1490AE1D6E0CA9D6BC4BCD14B1CFE694226D03E8731E9E0B3760877" + + "7D56630B31298CC05B6FF6C1A08935312D8E95B8056AD7831A22", + }, + Fp751: { + id: Fp751, + name: "P-751", + // PrA - Alice's Private Key: 2*randint(0,2^371) + PrA: "B1937F2B009FD9F785C5AD899F5ED2FD064218C07A76798D1433336E093DF184CA0CAF6E7C92B320E89632A7765F0B", + // PrB - Bob's Private Key: 3*randint(0,3^238) + PrB: "54DB4380D4134E187F5793FA82A4F18B39CA2F8F1C145FFB040FC917E2F41542037FF227F3A4AAFB17A6983AA88B4403", + PkA: "2B53BB7C002A9D18B077D068C38353ADFD57A3CA0E431D92CCB8060D41A83A09" + + "C1500BEE63FB07DA1DBEDB4AF145F22C2D8152B07B7E124F06643C7AB5B1C48D" + + "581FC4C6FB7FC165F6E02F40B47D81400B84B6288DEAB38DE795B51486430974" + + "788377770D46B0ABC1F3F7C3647A0E38ACED475EA8EE990F3C5A7668452478C1" + + "975993E126B405E476AD6A10E9DD4E135ADA910BE41A8F93331268791F7B958A" + + "0888052D1CF7B9128058A258002F22AC48E2C296E3935033139D336FDEB33E9B" + + "8713663B1705B566AC4F4455FD0E710A5236C18011EA971DDD18633F9022C432" + + "B225EC401FCD4C233B8BF91BE5944D1A657516CE4B844D0BC6049478046B60B6" + + "BE163E41CCE743054806B13FAC0A1FA393C866D74A5A93A938209287324FAB46" + + "295F5B271C9D8CFEE17868599202D7AEF1A67EBE2FA2A27AD9E0991CEDEE270D" + + "1E7639425D94A0F0A2EFDE90B86D5D7F03F3CF97D30415CAA661F865ADB788E6" + + "3F79EE2FE8637D9DCAF3BCD5C42AE499688048BBB49F216B4714675FD87F7CCC" + + "37A0C2EA56BB53675584F7648BA052F963C35387ECC4DDED4F8076934FF32D5D" + + "77B5D3C57553757A4CB9588C4575D4CC4CA8280370041A6FF03007C31D0712E8" + + "327CC5BC9885F896904FAB4EE167745260D331C3E85E8A32FCCD23093F2C55A9" + + "EA8D7BECEFC3564D3C3D4CE585B62785773B2228742185C97D6F51CD3E3CF885" + + "5CF37F305734E97A86479580FDB9983DDCAE9D0F1B125523DB2FE58339240A58" + + "131D0EFD14A560A6F7EDE774F6C3C54F46DD0830", + PkB: "E93E4E2B0E7348C088FD91F8E3B17CC52B55C5E8933B6D00B3757E5347C5A0AE" + + "5F1A6051C32FB20A41013A244484C8D0501B6A3516A634581E08C907F29D651C" + + "BCC5B6CA6BAC4DCC980CD36155B60A2108134D3F78ED19ADA2B8B20184302FD7" + + "47E096B01ABB33CB76B115D673B00F76913281CF7A0B44FF5CF1A256B8138FE6" + + "77AB8D22FEBBCB10EB46E442D0AD96A126DD24E941280C7AB3F9FAC2832A149C" + + "AD93D221EDCB406303F5A1B38F43F310244D766239A7F4D89EED4C6FD272BC4F" + + "F7C4E34F3E5E77BFF59D6FE5C0D3937F574ABE81C2FC1FEDD98F43323F8F2D7C" + + "154DCEBF410FCF698A4E6506D6FD6E4A861395F75698C810A527E00ADC118C90" + + "9CDE7729B24C6E7DE9C92CFB592CB9A4BAC54DB468AA52724452CC7A7B40509B" + + "B7894ACCF2C7933537FD52DB312D7FBC4FDE01AC2350CD25ABDD5E6F3AEF87BA" + + "1BE23691544EB6A4F8FA9CF2BE70B9665EA479B44DC3C61D4651CDDB53656B6F" + + "3A2D139EC6BE8550B8A623CCA30EB5374F70C67A932712002006F3D73190384F" + + "6D3BEC9DB9F46E9B7AE2891E615752E74DC112579CF43283E8B6EBEF4C802BD6" + + "700A97B9739E8694B48D8CB9C8ABBC915A834FF1DBF2C823B3E156D0A415C558" + + "71B719BD9DD215F57C8D19A6B4F8CD93283D6EBD135347DAAF4F20C54D24017F" + + "5E6AF400AB6DC98AD2D5810E59360DF64503599FAF6FBAB720CC557DEEF0F528" + + "249DEB530C8F310465E0BE2B4041C24DAF783BC4EE71D27C760FA7CFD4A9A691" + + "70BCBA465CA242961671DF0C53A8112CCD708D58", + }, +} + +/* ------------------------------------------------------------------------- + Helpers + -------------------------------------------------------------------------*/ +// Converts string to private key. +func convToPrv(s string, v KeyVariant, id uint8) *PrivateKey { + key := NewPrivateKey(id, v) + hex, e := hex.DecodeString(s) + if e != nil { + panic("non-hex number provided") + } + e = key.Import(hex) + if e != nil { + panic("Can't import private key") + } + return key +} + +// Converts string to public key. +func convToPub(s string, v KeyVariant, id uint8) *PublicKey { + key := NewPublicKey(id, v) + hex, e := hex.DecodeString(s) + if e != nil { + panic("non-hex number provided") + } + e = key.Import(hex) + if e != nil { + panic("Can't import public key") + } + return key +} + +/* Unit tests */ + +func testKeygen(t *testing.T, v sidhVec) { + pubA := NewPublicKey(v.id, KeyVariantSidhA) + pubB := NewPublicKey(v.id, KeyVariantSidhB) + alicePrivate := convToPrv(v.PrA, KeyVariantSidhA, v.id) + bobPrivate := convToPrv(v.PrB, KeyVariantSidhB, v.id) + expPubA := convToPub(v.PkA, KeyVariantSidhA, v.id) + expPubB := convToPub(v.PkB, KeyVariantSidhB, v.id) + + alicePrivate.GeneratePublicKey(pubA) + bobPrivate.GeneratePublicKey(pubB) + + got := make([]byte, expPubA.Size()) + exp := make([]byte, expPubA.Size()) + pubA.Export(got) + expPubA.Export(exp) + if !bytes.Equal(got, exp) { + t.Fatalf("unexpected value of public key A\ngot [%X]\nexp [%X]", got, exp) + } + + got = make([]byte, expPubB.Size()) + exp = make([]byte, expPubB.Size()) + pubB.Export(got) + expPubB.Export(exp) + if !bytes.Equal(got, exp) { + t.Fatalf("unexpected value of public key B\ngot [%X]\nexp [%X]", got, exp) + } +} + +func testRoundtrip(t *testing.T, v sidhVec) { + var err error + pubA := NewPublicKey(v.id, KeyVariantSidhA) + pubB := NewPublicKey(v.id, KeyVariantSidhB) + prvA := NewPrivateKey(v.id, KeyVariantSidhA) + prvB := NewPrivateKey(v.id, KeyVariantSidhB) + s1 := make([]byte, common.Params(v.id).SharedSecretSize) + s2 := make([]byte, common.Params(v.id).SharedSecretSize) + + // Generate private keys + err = prvA.Generate(rand.Reader) + CheckNoErr(t, err, "key generation failed") + err = prvB.Generate(rand.Reader) + CheckNoErr(t, err, "key generation failed") + + // Generate public keys + prvA.GeneratePublicKey(pubA) + prvB.GeneratePublicKey(pubB) + + // Derive shared secret + prvB.DeriveSecret(s1, pubA) + prvA.DeriveSecret(s2, pubB) + + if !bytes.Equal(s1[:], s2[:]) { + t.Fatalf("Two shared keys do not match:\ns1 [%X]\ns2 [%X]", s1, s2) + } +} + +func testKeyAgreement(t *testing.T, v sidhVec) { + var err error + s1 := make([]byte, common.Params(v.id).SharedSecretSize) + s2 := make([]byte, common.Params(v.id).SharedSecretSize) + + // KeyPairs + alicePublic := convToPub(v.PkA, KeyVariantSidhA, v.id) + bobPublic := convToPub(v.PkB, KeyVariantSidhB, v.id) + alicePrivate := convToPrv(v.PrA, KeyVariantSidhA, v.id) + bobPrivate := convToPrv(v.PrB, KeyVariantSidhB, v.id) + + // Do actual test + bobPrivate.DeriveSecret(s1, alicePublic) + alicePrivate.DeriveSecret(s2, bobPublic) + + if !bytes.Equal(s1[:], s2[:]) { + t.Fatalf("two shared keys do not match\ngot [%X]\nexp [%X]", s1, s2) + } + + // Negative case + dec, err := hex.DecodeString(v.PkA) + CheckNoErr(t, err, "decoding failed") + + dec[0] = ^dec[0] + err = alicePublic.Import(dec) + CheckNoErr(t, err, "import failed") + + bobPrivate.DeriveSecret(s1, alicePublic) + alicePrivate.DeriveSecret(s2, bobPublic) + if bytes.Equal(s1[:], s2[:]) { + t.Fatalf("DeriveSecret produces wrong results. The two shared keys match, but they shouldn't") + } +} + +func testImportExport(t *testing.T, v sidhVec) { + var err error + a := NewPublicKey(v.id, KeyVariantSidhA) + b := NewPublicKey(v.id, KeyVariantSidhB) + + // Import keys + aHex, err := hex.DecodeString(v.PkA) + CheckNoErr(t, err, "invalid hex-number provided") + + err = a.Import(aHex) + CheckNoErr(t, err, "import failed") + + bHex, err := hex.DecodeString(v.PkB) + CheckNoErr(t, err, "invalid hex-number provided") + + err = b.Import(bHex) + CheckNoErr(t, err, "import failed") + + aBytes := make([]byte, a.Size()) + bBytes := make([]byte, b.Size()) + a.Export(aBytes) + b.Export(bBytes) + + // Export and check if same + if !bytes.Equal(bBytes, bHex) || !bytes.Equal(aBytes, aHex) { + t.Fatalf("export/import failed") + } + + if (len(bBytes) != b.Size()) || (len(aBytes) != a.Size()) { + t.Fatalf("wrong size of exported keys") + } + + // Ensure that public key is unchanged after it is exported + aBytes2 := make([]byte, a.Size()) + bBytes2 := make([]byte, b.Size()) + a.Export(aBytes2) + b.Export(bBytes2) + if !bytes.Equal(aBytes, aBytes2) || !bytes.Equal(bBytes, bBytes2) { + t.Fatalf("Second export doesn't match first export") + } +} + +func testPrivateKeyBelowMax(t *testing.T, vec sidhVec) { + for variant, keySz := range map[KeyVariant]*common.DomainParams{ + KeyVariantSidhA: &common.Params(vec.id).A, + KeyVariantSidhB: &common.Params(vec.id).B} { + func(v KeyVariant, dp *common.DomainParams) { + var blen = int(dp.SecretByteLen) + var prv = NewPrivateKey(vec.id, v) + var secretBytes = make([]byte, prv.Size()) + + // Calculate either (2^e2 - 1) or (2^s - 1); where s=ceil(log_2(3^e3))) + maxSecretVal := big.NewInt(int64(dp.SecretBitLen)) + maxSecretVal.Exp(big.NewInt(int64(2)), maxSecretVal, nil) + maxSecretVal.Sub(maxSecretVal, big.NewInt(1)) + + // Do same test 1000 times + for i := 0; i < 1000; i++ { + err := prv.Generate(rand.Reader) + CheckNoErr(t, err, "Private key generation") + + // Convert to big-endian, as that's what expected by (*Int)SetBytes() + prv.Export(secretBytes) + for i := 0; i < blen/2; i++ { + tmp := secretBytes[i] ^ secretBytes[blen-i-1] + secretBytes[i] = tmp ^ secretBytes[i] + secretBytes[blen-i-1] = tmp ^ secretBytes[blen-i-1] + } + prvBig := new(big.Int).SetBytes(secretBytes) + // Check if generated key is bigger then acceptable + if prvBig.Cmp(maxSecretVal) == 1 { + t.Error("Generated private key is wrong") + } + } + }(variant, keySz) + } +} + +func TestKeyAgreementP751_AliceEvenNumber(t *testing.T) { + // even alice + v := tdataSidh[Fp751] + v.PkA = "FDED78E9F490CB518BD6357E18FEEB63FFEFEBE907338B3ABCA74A7E590DBF79" + + "0C732AB9E3778244608CD563064BDF6AAEF511CEAF07C702309ADAA7EBEBC6B3" + + "D7B00F5C02FB2FEDA763B2D695FD27F93F45D3AC58C2F0524A942D6DE407B651" + + "1854A1D974F11A8686CF8AD675A081F4B668F3C6617029AA33FD597C8910AB37" + + "F71DBE004A3FF8442C4B65DE51201DFAE6F9DC20FDE5B998D19C23589437229D" + + "724B4378602321F247276E7B4E441383C9BE6D277A127362D9C9FB68A41C5F5B" + + "9D2BA63FA790D62315DECF5049F0476A43D30BC1E8A36047C8EE0DA9E0A3937E" + + "BDF52A91BC53266A82CBF2CEAB227CB6D5075B486679CA7701F6F35C53499B45" + + "A451CE37C57B9BB1276142F495B83D987BD4B62E78E3084DCF3EB906D19DFA8F" + + "819DFC7FDF104C1A01CCF8D933B91EBD72CDE83A502B1FB0A5DF782BC7085766" + + "AE795123903A2D30F0F79073D27CF71BA4C9D3CA86512842AA8B5AEB729C78B1" + + "E15392E20A6043C05F88F6F412C3C9FE14F8FAAE8B8482514822162F93E81615" + + "BDD77363F872D0506FFDC1809C165A5C8A19F8EA0254D73E08202A6FF3AF43CF" + + "A7EC9B137AE003A19440DCE2EF3CFC99080F75E683AF6D0E25DF55C60B2A8013" + + "FA3D59828D31C2360DF83E202FB48AFAA65AF7279137E827B80E761FA49B842A" + + "A70FD4E77B284A14B8E28C8B11B389E1160DD9877C8D5A5A1471E605F1848369" + + "3F7578B3733DDEE117227E35B1765FEBB765B340A084E8D99176C0837099C864" + + "C71C864842D3E9B58CB870AD45F3B6BE476FEB6D" + v.PrA = "C09957CC83045FB4C3726384D784476ACB6FFD92E5B15B3C2D451BA063F1BD4CE" + + "D8FBCF682A98DD0954D37BCAF730F" + testKeyAgreement(t, v) +} + +/* ------------------------------------------------------------------------- + Wrappers for 'testing' SIDH + -------------------------------------------------------------------------*/ +func testSidhVec(t *testing.T, m *map[uint8]sidhVec, f func(t *testing.T, v sidhVec)) { + for i := range *m { + v := (*m)[i] + t.Run(v.name, func(t *testing.T) { f(t, v) }) + } +} +func TestKeygen(t *testing.T) { testSidhVec(t, &tdataSidh, testKeygen) } +func TestRoundtrip(t *testing.T) { testSidhVec(t, &tdataSidh, testRoundtrip) } +func TestImportExport(t *testing.T) { testSidhVec(t, &tdataSidh, testImportExport) } +func TestKeyAgreement(t *testing.T) { testSidhVec(t, &tdataSidh, testKeyAgreement) } +func TestPrivateKeyBelowMax(t *testing.T) { testSidhVec(t, &tdataSidh, testPrivateKeyBelowMax) } + +/* ------------------------------------------------------------------------- + Benchmarking + -------------------------------------------------------------------------*/ +func BenchmarkSidhKeyAgreementP751(b *testing.B) { + // KeyPairs + alicePublic := convToPub(tdataSidh[Fp751].PkA, KeyVariantSidhA, Fp751) + bobPublic := convToPub(tdataSidh[Fp751].PkB, KeyVariantSidhB, Fp751) + alicePrivate := convToPrv(tdataSidh[Fp751].PrA, KeyVariantSidhA, Fp751) + bobPrivate := convToPrv(tdataSidh[Fp751].PrB, KeyVariantSidhB, Fp751) + var ss [2 * 94]byte + + for i := 0; i < b.N; i++ { + // Derive shared secret + bobPrivate.DeriveSecret(ss[:], alicePublic) + alicePrivate.DeriveSecret(ss[:], bobPublic) + } +} + +func BenchmarkSidhKeyAgreementP503(b *testing.B) { + // KeyPairs + alicePublic := convToPub(tdataSidh[Fp503].PkA, KeyVariantSidhA, Fp503) + bobPublic := convToPub(tdataSidh[Fp503].PkB, KeyVariantSidhB, Fp503) + alicePrivate := convToPrv(tdataSidh[Fp503].PrA, KeyVariantSidhA, Fp503) + bobPrivate := convToPrv(tdataSidh[Fp503].PrB, KeyVariantSidhB, Fp503) + var ss [2 * 63]byte + + for i := 0; i < b.N; i++ { + // Derive shared secret + bobPrivate.DeriveSecret(ss[:], alicePublic) + alicePrivate.DeriveSecret(ss[:], bobPublic) + } +} + +func BenchmarkSidhKeyAgreementP434(b *testing.B) { + // KeyPairs + alicePublic := convToPub(tdataSidh[Fp434].PkA, KeyVariantSidhA, Fp434) + bobPublic := convToPub(tdataSidh[Fp434].PkB, KeyVariantSidhB, Fp434) + alicePrivate := convToPrv(tdataSidh[Fp434].PrA, KeyVariantSidhA, Fp434) + bobPrivate := convToPrv(tdataSidh[Fp434].PrB, KeyVariantSidhB, Fp434) + var ss [2 * 63]byte + + for i := 0; i < b.N; i++ { + // Derive shared secret + bobPrivate.DeriveSecret(ss[:], alicePublic) + alicePrivate.DeriveSecret(ss[:], bobPublic) + } +} + +func BenchmarkAliceKeyGenPrvP751(b *testing.B) { + prv := NewPrivateKey(Fp751, KeyVariantSidhA) + for n := 0; n < b.N; n++ { + _ = prv.Generate(rand.Reader) + } +} + +func BenchmarkAliceKeyGenPrvP503(b *testing.B) { + prv := NewPrivateKey(Fp503, KeyVariantSidhA) + for n := 0; n < b.N; n++ { + _ = prv.Generate(rand.Reader) + } +} + +func BenchmarkAliceKeyGenPrvP434(b *testing.B) { + prv := NewPrivateKey(Fp434, KeyVariantSidhA) + for n := 0; n < b.N; n++ { + _ = prv.Generate(rand.Reader) + } +} + +func BenchmarkBobKeyGenPrvP751(b *testing.B) { + prv := NewPrivateKey(Fp751, KeyVariantSidhB) + for n := 0; n < b.N; n++ { + _ = prv.Generate(rand.Reader) + } +} + +func BenchmarkBobKeyGenPrvP503(b *testing.B) { + prv := NewPrivateKey(Fp503, KeyVariantSidhB) + for n := 0; n < b.N; n++ { + _ = prv.Generate(rand.Reader) + } +} + +func BenchmarkBobKeyGenPrvP434(b *testing.B) { + prv := NewPrivateKey(Fp434, KeyVariantSidhB) + for n := 0; n < b.N; n++ { + _ = prv.Generate(rand.Reader) + } +} + +func BenchmarkAliceKeyGenPubP751(b *testing.B) { + prv := NewPrivateKey(Fp751, KeyVariantSidhA) + pub := NewPublicKey(Fp751, KeyVariantSidhA) + _ = prv.Generate(rand.Reader) + for n := 0; n < b.N; n++ { + prv.GeneratePublicKey(pub) + } +} + +func BenchmarkAliceKeyGenPubP503(b *testing.B) { + prv := NewPrivateKey(Fp503, KeyVariantSidhA) + pub := NewPublicKey(Fp503, KeyVariantSidhA) + _ = prv.Generate(rand.Reader) + for n := 0; n < b.N; n++ { + prv.GeneratePublicKey(pub) + } +} + +func BenchmarkAliceKeyGenPubP434(b *testing.B) { + prv := NewPrivateKey(Fp434, KeyVariantSidhA) + pub := NewPublicKey(Fp434, KeyVariantSidhA) + _ = prv.Generate(rand.Reader) + for n := 0; n < b.N; n++ { + prv.GeneratePublicKey(pub) + } +} + +func BenchmarkBobKeyGenPubP751(b *testing.B) { + prv := NewPrivateKey(Fp751, KeyVariantSidhB) + pub := NewPublicKey(Fp751, KeyVariantSidhB) + _ = prv.Generate(rand.Reader) + for n := 0; n < b.N; n++ { + prv.GeneratePublicKey(pub) + } +} + +func BenchmarkBobKeyGenPubP503(b *testing.B) { + prv := NewPrivateKey(Fp503, KeyVariantSidhB) + pub := NewPublicKey(Fp503, KeyVariantSidhB) + _ = prv.Generate(rand.Reader) + for n := 0; n < b.N; n++ { + prv.GeneratePublicKey(pub) + } +} + +func BenchmarkBobKeyGenPubP434(b *testing.B) { + prv := NewPrivateKey(Fp434, KeyVariantSidhB) + pub := NewPublicKey(Fp434, KeyVariantSidhB) + _ = prv.Generate(rand.Reader) + for n := 0; n < b.N; n++ { + prv.GeneratePublicKey(pub) + } +} + +func BenchmarkSharedSecretAliceP751(b *testing.B) { + aPr := convToPrv(tdataSidh[Fp751].PrA, KeyVariantSidhA, Fp751) + bPk := convToPub(tdataSidh[Fp751].PkB, KeyVariantSidhB, Fp751) + var ss [2 * 94]byte + for n := 0; n < b.N; n++ { + aPr.DeriveSecret(ss[:], bPk) + } +} + +func BenchmarkSharedSecretAliceP503(b *testing.B) { + aPr := convToPrv(tdataSidh[Fp503].PrA, KeyVariantSidhA, Fp503) + bPk := convToPub(tdataSidh[Fp503].PkB, KeyVariantSidhB, Fp503) + var ss [2 * 63]byte + for n := 0; n < b.N; n++ { + aPr.DeriveSecret(ss[:], bPk) + } +} + +func BenchmarkSharedSecretAliceP434(b *testing.B) { + aPr := convToPrv(tdataSidh[Fp434].PrA, KeyVariantSidhA, Fp434) + bPk := convToPub(tdataSidh[Fp434].PkB, KeyVariantSidhB, Fp434) + var ss [2 * 63]byte + for n := 0; n < b.N; n++ { + aPr.DeriveSecret(ss[:], bPk) + } +} + +func BenchmarkSharedSecretBobP751(b *testing.B) { + // m_B = 3*randint(0,3^238) + aPk := convToPub(tdataSidh[Fp751].PkA, KeyVariantSidhA, Fp751) + bPr := convToPrv(tdataSidh[Fp751].PrB, KeyVariantSidhB, Fp751) + var ss [2 * 94]byte + for n := 0; n < b.N; n++ { + bPr.DeriveSecret(ss[:], aPk) + } +} + +func BenchmarkSharedSecretBobP503(b *testing.B) { + // m_B = 3*randint(0,3^238) + aPk := convToPub(tdataSidh[Fp503].PkA, KeyVariantSidhA, Fp503) + bPr := convToPrv(tdataSidh[Fp503].PrB, KeyVariantSidhB, Fp503) + var ss [2 * 63]byte + for n := 0; n < b.N; n++ { + bPr.DeriveSecret(ss[:], aPk) + } +} + +func BenchmarkSharedSecretBobP434(b *testing.B) { + // m_B = 3*randint(0,3^238) + aPk := convToPub(tdataSidh[Fp434].PkA, KeyVariantSidhA, Fp434) + bPr := convToPrv(tdataSidh[Fp434].PrB, KeyVariantSidhB, Fp434) + var ss [2 * 63]byte + for n := 0; n < b.N; n++ { + bPr.DeriveSecret(ss[:], aPk) + } +} + +// Examples + +func ExamplePrivateKey() { + // import "circl/dh/sidh" + + // Allice's key pair + prvA := NewPrivateKey(Fp503, KeyVariantSidhA) + pubA := NewPublicKey(Fp503, KeyVariantSidhA) + // Bob's key pair + prvB := NewPrivateKey(Fp503, KeyVariantSidhB) + pubB := NewPublicKey(Fp503, KeyVariantSidhB) + // Generate keypair for Allice + err := prvA.Generate(rand.Reader) + if err != nil { + fmt.Print(err) + } + prvA.GeneratePublicKey(pubA) + // Generate keypair for Bob + err = prvB.Generate(rand.Reader) + if err != nil { + fmt.Print(err) + } + prvB.GeneratePublicKey(pubB) + // Buffers storing shared secret + ssA := make([]byte, prvA.SharedSecretSize()) + ssB := make([]byte, prvA.SharedSecretSize()) + // Allice calculates shared secret with hers private + // key and Bob's public key + prvA.DeriveSecret(ssA[:], pubB) + // Bob calculates shared secret with hers private + // key and Allice's public key + prvB.DeriveSecret(ssB[:], pubA) + // Check if ssA == ssB + fmt.Printf("%t\n", bytes.Equal(ssA, ssB)) + // Output: + // true +} diff --git a/src/circl/dh/sidh/sike.go b/src/circl/dh/sidh/sike.go new file mode 100644 index 00000000000..1b8167cb46d --- /dev/null +++ b/src/circl/dh/sidh/sike.go @@ -0,0 +1,262 @@ +package sidh + +import ( + "crypto/subtle" + "errors" + "io" + + "circl/dh/sidh/internal/common" + "circl/internal/shake" +) + +// SIKE KEM interface. +type KEM struct { + allocated bool + rng io.Reader + msg []byte + secretBytes []byte + params *common.SidhParams + shake shake.Shake +} + +// NewSike434 instantiates SIKE/p434 KEM. +func NewSike434(rng io.Reader) *KEM { + var c KEM + c.Allocate(Fp434, rng) + return &c +} + +// NewSike503 instantiates SIKE/p503 KEM. +func NewSike503(rng io.Reader) *KEM { + var c KEM + c.Allocate(Fp503, rng) + return &c +} + +// NewSike751 instantiates SIKE/p751 KEM. +func NewSike751(rng io.Reader) *KEM { + var c KEM + c.Allocate(Fp751, rng) + return &c +} + +// Allocate allocates KEM object for multiple SIKE operations. The rng +// must be cryptographically secure PRNG. +func (c *KEM) Allocate(id uint8, rng io.Reader) { + c.rng = rng + c.params = common.Params(id) + c.msg = make([]byte, c.params.MsgLen) + c.secretBytes = make([]byte, c.params.A.SecretByteLen) + c.shake = shake.NewShake256() + c.allocated = true +} + +// Encapsulate receives the public key and generates SIKE ciphertext and shared secret. +// The generated ciphertext is used for authentication. +// Error is returned in case PRNG fails. Function panics in case wrongly formatted +// input was provided. +func (c *KEM) Encapsulate(ciphertext, secret []byte, pub *PublicKey) error { + if !c.allocated { + panic("KEM unallocated") + } + + if KeyVariantSike != pub.keyVariant { + panic("Wrong type of public key") + } + + if len(secret) < c.SharedSecretSize() { + panic("shared secret buffer to small") + } + + if len(ciphertext) < c.CiphertextSize() { + panic("ciphertext buffer to small") + } + + // Generate ephemeral value + _, err := io.ReadFull(c.rng, c.msg[:]) + if err != nil { + return err + } + + var buf [3 * common.MaxSharedSecretBsz]byte + var skA = PrivateKey{ + key: key{ + params: c.params, + keyVariant: KeyVariantSidhA}, + Scalar: c.secretBytes} + var pkA = NewPublicKey(c.params.ID, KeyVariantSidhA) + + pub.Export(buf[:]) + c.shake.Reset() + _, _ = c.shake.Write(c.msg) + _, _ = c.shake.Write(buf[:3*c.params.SharedSecretSize]) + _, _ = c.shake.Read(skA.Scalar) + + // Ensure bitlength is not bigger then to 2^e2-1 + skA.Scalar[len(skA.Scalar)-1] &= (1 << (c.params.A.SecretBitLen % 8)) - 1 + skA.GeneratePublicKey(pkA) + c.generateCiphertext(ciphertext, &skA, pkA, pub, c.msg[:]) + + // K = H(msg||(c0||c1)) + c.shake.Reset() + _, _ = c.shake.Write(c.msg) + _, _ = c.shake.Write(ciphertext) + _, _ = c.shake.Read(secret[:c.SharedSecretSize()]) + return nil +} + +// Decapsulate given the keypair and ciphertext as inputs, Decapsulate outputs a shared +// secret if plaintext verifies correctly, otherwise function outputs random value. +// Decapsulation may panic in case input is wrongly formatted, in particular, size of +// the 'ciphertext' must be exactly equal to c.CiphertextSize(). +func (c *KEM) Decapsulate(secret []byte, prv *PrivateKey, pub *PublicKey, ciphertext []byte) error { + if !c.allocated { + panic("KEM unallocated") + } + + if KeyVariantSike != pub.keyVariant { + panic("Wrong type of public key") + } + + if pub.keyVariant != prv.keyVariant { + panic("Public and private key are of different type") + } + + if len(secret) < c.SharedSecretSize() { + panic("shared secret buffer to small") + } + + if len(ciphertext) != c.CiphertextSize() { + panic("ciphertext buffer to small") + } + + var m [common.MaxMsgBsz]byte + var r [common.MaxSidhPrivateKeyBsz]byte + var pkBytes [3 * common.MaxSharedSecretBsz]byte + var skA = PrivateKey{ + key: key{ + params: c.params, + keyVariant: KeyVariantSidhA}, + Scalar: c.secretBytes} + var pkA = NewPublicKey(c.params.ID, KeyVariantSidhA) + c1Len, err := c.decrypt(m[:], prv, ciphertext) + if err != nil { + return err + } + + // r' = G(m'||pub) + pub.Export(pkBytes[:]) + c.shake.Reset() + _, _ = c.shake.Write(m[:c1Len]) + _, _ = c.shake.Write(pkBytes[:3*c.params.SharedSecretSize]) + _, _ = c.shake.Read(r[:c.params.A.SecretByteLen]) + // Ensure bitlength is not bigger than 2^e2-1 + r[c.params.A.SecretByteLen-1] &= (1 << (c.params.A.SecretBitLen % 8)) - 1 + + err = skA.Import(r[:c.params.A.SecretByteLen]) + if err != nil { + return err + } + skA.GeneratePublicKey(pkA) + pkA.Export(pkBytes[:]) + + // S is chosen at random when generating a key and unknown to other party. It is + // important that S is unpredictable to the other party. Without this check, would + // be possible to recover a secret, by providing series of invalid ciphertexts. + // + // See more details in "On the security of supersingular isogeny cryptosystems" + // (S. Galbraith, et al., 2016, ePrint #859). + mask := subtle.ConstantTimeCompare(pkBytes[:c.params.PublicKeySize], ciphertext[:pub.params.PublicKeySize]) + common.Cpick(mask, m[:c1Len], m[:c1Len], prv.S) + c.shake.Reset() + _, _ = c.shake.Write(m[:c1Len]) + _, _ = c.shake.Write(ciphertext) + _, _ = c.shake.Read(secret[:c.SharedSecretSize()]) + return nil +} + +// Resets internal state of KEM. Function should be used +// after Allocate and between subsequent calls to Encapsulate +// and/or Decapsulate. +func (c *KEM) Reset() { + for i := range c.msg { + c.msg[i] = 0 + } + + for i := range c.secretBytes { + c.secretBytes[i] = 0 + } +} + +// Returns size of resulting ciphertext. +func (c *KEM) CiphertextSize() int { + return c.params.CiphertextSize +} + +// Returns size of resulting shared secret. +func (c *KEM) SharedSecretSize() int { + return c.params.KemSize +} + +func (c *KEM) generateCiphertext(ctext []byte, skA *PrivateKey, pkA, pkB *PublicKey, ptext []byte) { + var n [common.MaxMsgBsz]byte + var j [common.MaxSharedSecretBsz]byte + var ptextLen = skA.params.MsgLen + + skA.DeriveSecret(j[:], pkB) + c.shake.Reset() + _, _ = c.shake.Write(j[:skA.params.SharedSecretSize]) + _, _ = c.shake.Read(n[:ptextLen]) + for i := range ptext { + n[i] ^= ptext[i] + } + + pkA.Export(ctext) + copy(ctext[pkA.Size():], n[:ptextLen]) +} + +// encrypt uses SIKE public key to encrypt plaintext. Requires cryptographically secure +// PRNG. Returns ciphertext in case encryption succeeds. Returns error in case PRNG fails +// or wrongly formated input was provided. +func (c *KEM) encrypt(ctext []byte, rng io.Reader, pub *PublicKey, ptext []byte) error { + var ptextLen = len(ptext) + // c1 must be security level + 64 bits (see [SIKE] 1.4 and 4.3.3) + if ptextLen != pub.params.KemSize { + return errors.New("unsupported message length") + } + + skA := NewPrivateKey(pub.params.ID, KeyVariantSidhA) + pkA := NewPublicKey(pub.params.ID, KeyVariantSidhA) + err := skA.Generate(rng) + if err != nil { + return err + } + + skA.GeneratePublicKey(pkA) + c.generateCiphertext(ctext, skA, pkA, pub, ptext) + return nil +} + +// decrypt uses SIKE private key to decrypt ciphertext. Returns plaintext in case +// decryption succeeds or error in case unexpected input was provided. +// Constant time. +func (c *KEM) decrypt(n []byte, prv *PrivateKey, ctext []byte) (int, error) { + var c1Len int + var j [common.MaxSharedSecretBsz]byte + var pkLen = prv.params.PublicKeySize + + // ctext is a concatenation of (ciphertext = pubkey_A || c1) + // it must be security level + 64 bits (see [SIKE] 1.4 and 4.3.3) + // Lengths has been already checked by Decapsulate() + c1Len = len(ctext) - pkLen + c0 := NewPublicKey(prv.params.ID, KeyVariantSidhA) + err := c0.Import(ctext[:pkLen]) + prv.DeriveSecret(j[:], c0) + c.shake.Reset() + _, _ = c.shake.Write(j[:prv.params.SharedSecretSize]) + _, _ = c.shake.Read(n[:c1Len]) + for i := range n[:c1Len] { + n[i] ^= ctext[pkLen+i] + } + return c1Len, err +} diff --git a/src/circl/dh/sidh/sike_test.go b/src/circl/dh/sidh/sike_test.go new file mode 100644 index 00000000000..099d41d5a4d --- /dev/null +++ b/src/circl/dh/sidh/sike_test.go @@ -0,0 +1,579 @@ +package sidh + +import ( + "bufio" + "bytes" + "crypto/rand" + "encoding/hex" + "fmt" + "io" + "os" + "strings" + "testing" + + "circl/dh/sidh/internal/common" + . "circl/internal/test" +) + +type sikeVec struct { + id uint8 + name string + kem *KEM + KatFile string + PkB string + PrB string +} + +var tdataSike = map[uint8]sikeVec{ + Fp434: { + Fp434, "P-434", NewSike434(rand.Reader), + "testdata/PQCkemKAT_374.rsp", + "1BD0A2E81307B6F96461317DDF535ACC0E59C742627BAE60D27605E10FAF722D" + + "22A73E184CB572A12E79DCD58C6B54FB01442114CBE9010B6CAEC25D04C16C5E" + + "42540C1524C545B8C67614ED4183C9FA5BD0BE45A7F89FBC770EE8E7E5E391C7" + + "EE6F35F74C29E6D9E35B1663DA01E48E9DEB2347512D366FDE505161677055E3" + + "EF23054D276E817E2C57025DA1C10D2461F68617F2D11256EEE4E2D7DBDF6C8E" + + "34F3A0FD00C625428CB41857002159DAB94267ABE42D630C6AAA91AF837C7A67" + + "40754EA6634C45454C51B0BB4D44C3CCCCE4B32C00901CF69C008D013348379B" + + "2F9837F428A01B6173584691F2A6F3A3C4CF487D20D261B36C8CDB1BC158E2A5" + + "162A9DA4F7A97AA0879B9897E2B6891B672201F9AEFBF799C27B2587120AC586" + + "A511360926FB7DA8EBF5CB5272F396AE06608422BE9792E2CE9BEF21BF55B7EF" + + "F8DC7EC8C99910D3F800", + "4B622DE1350119C45A9F2E2EF3DC5DF56A27FCDFCDDAF58CD69B903752D68C20" + + "0934E160B234E49EDE247601"}, + Fp503: { + Fp503, "P-503", NewSike503(rand.Reader), + "testdata/PQCkemKAT_434.rsp", + "4032A90B6C036B7D2A83878AD116641AD319E420235A505F3F5C3DEC27C87A6C" + + "BA0792201D6E7B196C582D43CAF86CB2C7DEFA6598B543C946CDDF62EF9A328C" + + "8719B66BA5052231DAE13AF7D9CDEBB4ED327773C7AE0818F41AF1D28CD78B16" + + "C996232528235C8392B8FCFD925CB311B2A801B0402A90E527261EA32F2BEF67" + + "7C544908D5509B8AB7D7BF20456727AD358AD585306A0B28F6B2AA583CE8A3E0" + + "BB92D8CD55347D39D4E3C30D3D0F96EABB721A6968CDD143FE9227643CF697FB" + + "2DF0B71322B5EA1505D0DDBF70A2FD1193011F3BC18AA1E127C614B76969DCDA" + + "45A2072B519A1074FDA49F5C828450C6A007BF8D7CDDD5D2FC112119C679CA3A" + + "B16C6960B25F6C681A7DCED0F0E3901740D3DBF3A33011EB7DA460E8ADA80EE3" + + "45B2B71420950A9A803E4F11330EB91CCABB1EEE4D875A109D7724ABD201272C" + + "0B4981BDCDFA70F3430A89D2A88EEED474CF0CFAC65CE883F44B4722FA280C6F" + + "A9C4724D414B35AF69D6ECB21BFDA23BFF6B66C22C2451DC8E1C", + "7BF6938C975658AEB8B4D37CFFBDE25D97E561F36C219A0E8FE645816DBBC7ED7B57" + + "7700AE8DC3138E97A0C3F6F002065C92A0B1B8180208"}, + Fp751: { + Fp751, "P-751", NewSike751(rand.Reader), + "testdata/PQCkemKAT_644.rsp", + "E1A758EC0D418BFE86D8077B5BB169133C06C1F2A067D8B202D9D058FFC51F63" + + "FD26155A6577C74BA7F1A27E7BA51982517B923615DEB00BE408920A07831DF5" + + "978CFDDD0BF690A264353A4A16B666F90586D7F89A193CE09375D389C1379A7A" + + "528581C3ACB002CD2DC4F0FD672568FF9050BA8365C7FEFC5E6ED089B921DE68" + + "04091A0744DE3EB14D426A3F7DA215C50312617C1C2697243980D06056F2CCE8" + + "8AE7AE73C7343C0B7104C9F2870A94FED744CF6E94630514B6CEAB0E64733BB6" + + "FA67B931E5D8206010475CBE8BC587248D65D89D8CD9C8BBFA93E8B5F9EB9130" + + "773DED665D52ABBD91C4C8C255F73C0FC82501AE33330E9F308DE7177CBF83E4" + + "E26E334D7CB09019E638147FC58ED372AF660F14C194BC80E9666325C98E0F80" + + "877271D4A6BF514F603703D8A697874CD50A34D92F5AAEA84633CCF96801BD51" + + "7BF425DEE4A32AAF06684052473EA14643C3D535440FB2240A988D09F297C5A3" + + "88CB3DE60ED943F124034B90EFF611221F80F78EC124956338A105F6636B063D" + + "7E48BFBD5D614310FB97D86F122E4AE6F9DDF4977A93ED7D0CE2A94E346A1A03" + + "D3219CF21907B85A5BCDC713F93A4406A22E03B1655A66E1F6741A2F953E6FE0" + + "868B2614BABEF1943BBBCB1B66D3E7017E533EA84F291240B56AB33EF1DC3F3D" + + "E99DBF9E8BE51A0076E462BCDD825EA96D7F63C99177C305C257B31461F4C23D" + + "43115F0220409E8880BBB2468586D03461E807BE824B693874911B2B52AF06FD" + + "BDC47F5A0159729641A7C950AB9E03F2DC045135", + "0001020304050607080900010203040506070809000102030405060708090102" + + "8626ED79D451140800E03B59B956F8210E556067407D13DC90FA9E8B872BFB8F" + + "AB0A7289852106E40538D3575C500201"}, +} + +// Encrypt, Decrypt, check if input/output plaintext is the same. +func testPKERoundTrip(t *testing.T, v sikeVec) { + // Message to be encrypted + var pt [common.MaxMsgBsz]byte + var params = common.Params(v.id) + var ct = make([]byte, v.kem.CiphertextSize()) + var msg = make([]byte, params.MsgLen) + for i := range msg { + msg[i] = byte(i) + } + + // Import keys + pkB := NewPublicKey(params.ID, KeyVariantSike) + skB := NewPrivateKey(params.ID, KeyVariantSike) + pkHex, err := hex.DecodeString(v.PkB) + CheckNoErr(t, err, "Test vector wrong") + skHex, err := hex.DecodeString(v.PrB) + CheckNoErr(t, err, "Test vector wrong") + err = pkB.Import(pkHex) + CheckNoErr(t, err, "Public key import failed") + err = skB.Import(skHex) + CheckNoErr(t, err, "Private key import failed") + err = v.kem.encrypt(ct, rand.Reader, pkB, msg[:]) + CheckNoErr(t, err, "PKE roundtrip - encryption failed") + ptLen, err := v.kem.decrypt(pt[:], skB, ct) + CheckNoErr(t, err, "PKE roundtrip - description failed") + + if !bytes.Equal(pt[:ptLen], msg[:]) { + t.Errorf("Decryption failed \n got : %X\n exp : %X", pt[:ptLen], msg) + } +} + +// Generate key and check if can encrypt. +func testPKEKeyGeneration(t *testing.T, v sikeVec) { + var err error + var params = common.Params(v.id) + var pt [common.MaxMsgBsz]byte + var msg = make([]byte, params.MsgLen) + var ct = make([]byte, v.kem.CiphertextSize()) + // static buffer to ensure no overrides + var pk = NewPublicKey(v.id, KeyVariantSike) + var sk = NewPrivateKey(v.id, KeyVariantSike) + + for i := range msg { + msg[i] = byte(i) + } + + err = sk.Generate(rand.Reader) + CheckNoErr(t, err, "PKE key generation") + sk.GeneratePublicKey(pk) + + err = v.kem.encrypt(ct, rand.Reader, pk, msg[:]) + CheckNoErr(t, err, "PKE encryption") + ptLen, err := v.kem.decrypt(pt[:], sk, ct) + CheckNoErr(t, err, "PKE key decryption") + + if !bytes.Equal(pt[:ptLen], msg[:]) { + t.Fatalf("Decryption failed \n got : %X\n exp : %X", pt, msg) + } +} + +func testNegativePKE(t *testing.T, v sikeVec) { + var err error + var msg [common.MaxMsgBsz]byte + var ct = make([]byte, v.kem.CiphertextSize()) + var pk = NewPublicKey(v.id, KeyVariantSike) + var sk = NewPrivateKey(v.id, KeyVariantSike) + + // Generate key + err = sk.Generate(rand.Reader) + CheckNoErr(t, err, "key generation") + sk.GeneratePublicKey(pk) + + // bytelen(msg) - 1 + err = v.kem.encrypt(ct, rand.Reader, pk, msg[:v.kem.params.KemSize+8-1]) + CheckIsErr(t, err, "PKE encryption doesn't fail") + for _, v := range ct { + if v != 0 { + t.Fatal("Returned ciphertext must be not changed") + } + } +} + +func testKEMRoundTrip(t *testing.T, pkB, skB []byte, v sikeVec) { + // Import keys + var err error + var ssE [common.MaxSharedSecretBsz]byte + var ssD [common.MaxSharedSecretBsz]byte + var pk = NewPublicKey(v.id, KeyVariantSike) + var sk = NewPrivateKey(v.id, KeyVariantSike) + var ct = make([]byte, v.kem.CiphertextSize()) + var ssBsz = v.kem.SharedSecretSize() + + err = pk.Import(pkB) + CheckNoErr(t, err, "Public key import failed") + err = sk.Import(skB) + CheckNoErr(t, err, "Private key import failed") + + v.kem.Reset() + err = v.kem.Encapsulate(ct, ssE[:], pk) + CheckNoErr(t, err, "Encapsulation failed") + v.kem.Reset() + err = v.kem.Decapsulate(ssD[:ssBsz], sk, pk, ct) + CheckNoErr(t, err, "Decapsulation failed") + + if !bytes.Equal(ssE[:v.kem.SharedSecretSize()], ssD[:v.kem.SharedSecretSize()]) { + t.Errorf("Shared secrets from decapsulation and encapsulation differ [%s]", v.name) + } +} + +func testKEMKeyGeneration(t *testing.T, v sikeVec) { + var ssE [common.MaxSharedSecretBsz]byte + var ssD [common.MaxSharedSecretBsz]byte + var ct = make([]byte, v.kem.CiphertextSize()) + + sk := NewPrivateKey(v.id, KeyVariantSike) + pk := NewPublicKey(v.id, KeyVariantSike) + CheckNoErr(t, sk.Generate(rand.Reader), "error: key generation") + sk.GeneratePublicKey(pk) + + // calculated shared secret + v.kem.Reset() + err := v.kem.Encapsulate(ct, ssE[:], pk) + CheckNoErr(t, err, "encapsulation failed") + v.kem.Reset() + err = v.kem.Decapsulate(ssD[:v.kem.SharedSecretSize()], sk, pk, ct) + CheckNoErr(t, err, "decapsulation failed") + + if !bytes.Equal(ssE[:], ssD[:]) { + t.Fatalf("KEM failed \n encapsulated: %X\n decapsulated: %X", ssD[:], ssE[:]) + } +} + +func testNegativeKEM(t *testing.T, v sikeVec) { + var ssE [common.MaxSharedSecretBsz]byte + var ssD [common.MaxSharedSecretBsz]byte + var ssTmp [common.MaxSharedSecretBsz]byte + var ct = make([]byte, v.kem.CiphertextSize()) + var ssBsz = v.kem.SharedSecretSize() + + sk := NewPrivateKey(v.id, KeyVariantSike) + pk := NewPublicKey(v.id, KeyVariantSike) + CheckNoErr(t, sk.Generate(rand.Reader), "error: key generation") + sk.GeneratePublicKey(pk) + + v.kem.Reset() + err := v.kem.Encapsulate(ct, ssE[:], pk) + CheckNoErr(t, err, "pre-requisite for a test failed") + + // Try decapsulate too small ciphertext + v.kem.Reset() + CheckNoErr( + t, + CheckPanic(func() { _ = v.kem.Decapsulate(ssTmp[:ssBsz], sk, pk, ct[:len(ct)-2]) }), + "Decapsulation must panic if ciphertext is too small") + + ctTmp := make([]byte, len(ct)+1) + // Try decapsulate too big ciphertext + v.kem.Reset() + CheckNoErr( + t, + CheckPanic(func() { _ = v.kem.Decapsulate(ssTmp[:ssBsz], sk, pk, ctTmp) }), + "Decapsulation must panic if ciphertext is too big") + + // Change ciphertext + ct[0] = ct[0] - 1 + v.kem.Reset() + err = v.kem.Decapsulate(ssD[:ssBsz], sk, pk, ct) + CheckNoErr(t, err, "decapsulation returns error when invalid ciphertext provided") + + if bytes.Equal(ssE[:], ssD[:]) { + // no idea how this could ever happen, but it would be very bad + t.Error("critical error") + } + + // Try encapsulating with SIDH key + pkSidh := NewPublicKey(v.id, KeyVariantSidhB) + prSidh := NewPrivateKey(v.id, KeyVariantSidhB) + v.kem.Reset() + CheckNoErr( + t, + CheckPanic(func() { _ = v.kem.Encapsulate(ct, ssE[:], pkSidh) }), + "encapsulation accepts SIDH public key") + + // Try decapsulating with SIDH key + v.kem.Reset() + CheckNoErr( + t, + CheckPanic(func() { _ = v.kem.Decapsulate(ssD[:ssBsz], prSidh, pk, ct) }), + "encapsulation accepts SIDH public key") +} + +// In case invalid ciphertext is provided, SIKE's decapsulation must +// return same (but unpredictable) result for a given key. +func testNegativeKEMSameWrongResult(t *testing.T, v sikeVec) { + var ssE [common.MaxSharedSecretBsz]byte + var ssD1 [common.MaxSharedSecretBsz]byte + var ssD2 [common.MaxSharedSecretBsz]byte + var ct = make([]byte, v.kem.CiphertextSize()) + var ssBsz = v.kem.SharedSecretSize() + + sk := NewPrivateKey(v.id, KeyVariantSike) + pk := NewPublicKey(v.id, KeyVariantSike) + CheckNoErr(t, sk.Generate(rand.Reader), "error: key generation") + sk.GeneratePublicKey(pk) + + v.kem.Reset() + err := v.kem.Encapsulate(ct, ssE[:], pk) + CheckNoErr(t, err, "pre-requisite for a test failed") + + // make ciphertext wrong + ct[0] = ct[0] - 1 + v.kem.Reset() + err = v.kem.Decapsulate(ssD1[:ssBsz], sk, pk, ct) + CheckNoErr(t, err, "pre-requisite for a test failed") + + // change secret keysecond decapsulation must be done with same, but imported private key + var expSk [common.MaxSikePrivateKeyBsz]byte + sk.Export(expSk[:]) + + // create new private key + sk = NewPrivateKey(v.id, KeyVariantSike) + CheckNoErr(t, sk.Import(expSk[:sk.Size()]), "import failed") + + // try decapsulating again. + v.kem.Reset() + err = v.kem.Decapsulate(ssD2[:ssBsz], sk, pk, ct) + CheckNoErr(t, err, "pre-requisite for a test failed") + + // ssD1 must be same as ssD2 + if !bytes.Equal(ssD1[:], ssD2[:]) { + t.Error("decapsulation is insecure") + } + + // ssD1 and ssD2 must be different than ssE + if bytes.Equal(ssE[:], ssD1[:]) || bytes.Equal(ssE[:], ssD2[:]) { + // this test requires that decapsulation returns wrong result + t.Errorf("test implementation error") + } +} + +func testKAT(t *testing.T, v sikeVec) { + ssGot := make([]byte, v.kem.SharedSecretSize()) + testDecapsulation := func(pk, sk, ct, ssExpected []byte) { + var pubKey = NewPublicKey(v.id, KeyVariantSike) + var prvKey = NewPrivateKey(v.id, KeyVariantSike) + if pubKey.Import(pk) != nil || prvKey.Import(sk) != nil { + panic("sike test: can't load KAT") + } + + err := v.kem.Decapsulate(ssGot, prvKey, pubKey, ct) + CheckNoErr(t, err, "sike test: can't perform degcapsulation KAT") + if !bytes.Equal(ssGot, ssExpected) { + t.Fatalf("KAT decapsulation failed\n") + } + } + + readAndCheckLine := func(r *bufio.Reader) []byte { + // Read next line from buffer + line, isPrefix, err := r.ReadLine() + if err != nil || isPrefix { + panic("Wrong format of input file") + } + + // Function expects that line is in format "KEY = HEX_VALUE". Get + // value, which should be a hex string + hexst := strings.Split(string(line), "=")[1] + hexst = strings.TrimSpace(hexst) + // Convert value to byte string + ret, err := hex.DecodeString(hexst) + if err != nil { + panic("Wrong format of input file") + } + return ret + } + + testKeygen := func(pk, sk []byte) bool { + // Import provided private key + var prvKey = NewPrivateKey(v.id, KeyVariantSike) + var pubKey = NewPublicKey(v.id, KeyVariantSike) + var pubKeyBytes = make([]byte, pubKey.Size()) + CheckNoErr(t, prvKey.Import(sk), "Can't load KAT") + + // Generate public key + prvKey.GeneratePublicKey(pubKey) + pubKey.Export(pubKeyBytes) + return bytes.Equal(pubKeyBytes, pk) + } + + f, err := os.Open(v.KatFile) + if err != nil { + t.Fatal(err) + } + + r := bufio.NewReader(f) + for { + line, isPrefix, err := r.ReadLine() + if err != nil || isPrefix { + if err == io.EOF { + break + } else { + t.Fatal(err) + } + } + if len(strings.TrimSpace(string(line))) == 0 || line[0] == '#' { + continue + } + + // count + _ = strings.Split(string(line), "=")[1] + // seed + _ = readAndCheckLine(r) + // pk + pk := readAndCheckLine(r) + // sk (secret key in test vector is concatenation of + // MSG + SECRET_BOB_KEY + PUBLIC_BOB_KEY. We use only MSG+SECRET_BOB_KEY + sk := readAndCheckLine(r) + sk = sk[:v.kem.params.MsgLen+int(v.kem.params.B.SecretByteLen)] + // ct + ct := readAndCheckLine(r) + // ss + ss := readAndCheckLine(r) + + testKeygen(pk, sk) + testDecapsulation(pk, sk, ct, ss) + testKEMRoundTrip(t, pk, sk, v) + } +} + +// Interface to "testing" + +/* ------------------------------------------------------------------------- + Wrappers for 'testing' SIDH + -------------------------------------------------------------------------*/ +func testSike(t *testing.T, m *map[uint8]sikeVec, f func(*testing.T, sikeVec)) { + for i := range *m { + v := (*m)[i] + t.Run(v.name, func(t *testing.T) { f(t, v) }) + } +} + +func TestPKERoundTrip(t *testing.T) { testSike(t, &tdataSike, testPKERoundTrip) } +func TestPKEKeyGeneration(t *testing.T) { testSike(t, &tdataSike, testPKEKeyGeneration) } +func TestNegativePKE(t *testing.T) { testSike(t, &tdataSike, testNegativePKE) } +func TestKEMKeyGeneration(t *testing.T) { testSike(t, &tdataSike, testKEMKeyGeneration) } +func TestNegativeKEM(t *testing.T) { testSike(t, &tdataSike, testNegativeKEM) } +func TestKAT(t *testing.T) { testSike(t, &tdataSike, testKAT) } +func TestNegativeKEMSameWrongResult(t *testing.T) { + testSike(t, &tdataSike, testNegativeKEMSameWrongResult) +} + +func TestKEMRoundTrip(t *testing.T) { + for _, val := range tdataSike { + // fmt.Printf("\tTesting: %s\n", val.name) + pk, err := hex.DecodeString(val.PkB) + CheckNoErr(t, err, "public key B not a number") + sk, err := hex.DecodeString(val.PrB) + CheckNoErr(t, err, "private key B not a number") + testKEMRoundTrip(t, pk, sk, val) + } +} + +/* ------------------------------------------------------------------------- + Benchmarking + -------------------------------------------------------------------------*/ + +func benchSike(t *testing.B, m *map[uint8]sikeVec, f func(*testing.B, sikeVec)) { + for i := range *m { + v := (*m)[i] + t.Run(v.name, func(t *testing.B) { f(t, v) }) + } +} + +func benchKeygen(b *testing.B, v sikeVec) { + pub := NewPublicKey(v.id, KeyVariantSike) + prv := NewPrivateKey(v.id, KeyVariantSike) + _ = prv.Generate(rand.Reader) + + b.ResetTimer() + for n := 0; n < b.N; n++ { + prv.GeneratePublicKey(pub) + } +} + +func benchmarkEncaps(b *testing.B, v sikeVec) { + pub := NewPublicKey(v.id, KeyVariantSike) + prv := NewPrivateKey(v.id, KeyVariantSike) + + if prv.Generate(rand.Reader) != nil { + b.FailNow() + } + prv.GeneratePublicKey(pub) + + var ct [common.MaxCiphertextBsz]byte + var ss [common.MaxSharedSecretBsz]byte + + b.ResetTimer() + for n := 0; n < b.N; n++ { + v.kem.Reset() + _ = v.kem.Encapsulate(ct[:], ss[:], pub) + } +} + +func benchmarkDecaps(b *testing.B, v sikeVec) { + var ct [common.MaxCiphertextBsz]byte + var ss [common.MaxSharedSecretBsz]byte + var ssBsz = v.kem.SharedSecretSize() + + pkA := NewPublicKey(v.id, KeyVariantSike) + prvA := NewPrivateKey(v.id, KeyVariantSike) + pkB := NewPublicKey(v.id, KeyVariantSike) + prvB := NewPrivateKey(v.id, KeyVariantSike) + + if prvA.Generate(rand.Reader) != nil || prvB.Generate(rand.Reader) != nil { + b.FailNow() + } + + prvA.GeneratePublicKey(pkA) + prvB.GeneratePublicKey(pkB) + + v.kem.Reset() + err := v.kem.Encapsulate(ct[:], ss[:], pkA) + if err != nil { + b.FailNow() + } + + ctSlc := ct[:v.kem.CiphertextSize()] + + b.ResetTimer() + for n := 0; n < b.N; n++ { + v.kem.Reset() + _ = v.kem.Decapsulate(ss[:ssBsz], prvA, pkB, ctSlc) + } +} + +func BenchmarkKeygen(b *testing.B) { benchSike(b, &tdataSike, benchKeygen) } +func BenchmarkEncaps(b *testing.B) { benchSike(b, &tdataSike, benchmarkEncaps) } +func BenchmarkDecaps(b *testing.B) { benchSike(b, &tdataSike, benchmarkDecaps) } + +func ExampleKEM() { + // Allice's key pair + prvA := NewPrivateKey(Fp503, KeyVariantSike) + pubA := NewPublicKey(Fp503, KeyVariantSike) + // Bob's key pair + prvB := NewPrivateKey(Fp503, KeyVariantSike) + pubB := NewPublicKey(Fp503, KeyVariantSike) + // Generate keypair for Allice + err := prvA.Generate(rand.Reader) + if err != nil { + panic(err) + } + prvA.GeneratePublicKey(pubA) + // Generate keypair for Bob + err = prvB.Generate(rand.Reader) + if err != nil { + panic(err) + } + prvB.GeneratePublicKey(pubB) + // Initialize internal KEM structures + var kem = NewSike503(rand.Reader) + // Create buffers for ciphertext, shared secret received + // from encapsulation and shared secret from decapsulation + ct := make([]byte, kem.CiphertextSize()) + ssE := make([]byte, kem.SharedSecretSize()) + ssD := make([]byte, kem.SharedSecretSize()) + // Allice performs encapsulation with Bob's public key + err = kem.Encapsulate(ct, ssE, pubB) + if err != nil { + panic(err) + } + // Bob performs decapsulation with his key pair + err = kem.Decapsulate(ssD, prvB, pubB, ct) + if err != nil { + panic(err) + } + fmt.Printf("%t\n", bytes.Equal(ssE, ssD)) + + // Bob performs encapsulation with Allices's public key + err = kem.Encapsulate(ct, ssE, pubA) + if err != nil { + panic(err) + } + // Allice performs decapsulation with hers key pair + err = kem.Decapsulate(ssD, prvA, pubA, ct) + if err != nil { + panic(err) + } + fmt.Printf("%t\n", bytes.Equal(ssE, ssD)) + + // Output: + // true + // true +} diff --git a/src/circl/dh/sidh/testdata/PQCkemKAT_374.rsp b/src/circl/dh/sidh/testdata/PQCkemKAT_374.rsp new file mode 100644 index 00000000000..8498b26dcb8 --- /dev/null +++ b/src/circl/dh/sidh/testdata/PQCkemKAT_374.rsp @@ -0,0 +1,702 @@ +# SIKEp434 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +pk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sk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ct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ss = 35F7F8FF388714DEDC41F139078CEDC9 + +count = 1 +seed = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC81ADDE6AEEB4A5A875C3BFCADFA958F +pk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sk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ct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ss = 9D7EDCCC78E60EFDDD75D585AD920730 + +count = 2 +seed = 64335BF29E5DE62842C941766BA129B0643B5E7121CA26CFC190EC7DC3543830557FDD5C03CF123A456D48EFEA43C868 +pk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sk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ct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ss = 68C17AB42604D799578D835DC7256001 + +count = 3 +seed = 225D5CE2CEAC61930A07503FB59F7C2F936A3E075481DA3CA299A80F8C5DF9223A073E7B90E02EBF98CA2227EBA38C1A +pk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sk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ct = FC9C6A593AECFFAB44DA40D39FCB1125851C1412F6B0038748729A7898EB6E3026A0FA09F7D700277CC9ED0E8592359BB6B41D7166EE01A97B09CC3C9745FEC2227081AA712A2EDC326130097C1A65972EB1A7893D2DFCE9C18DC7AD58BC077D35FE091CA69E8F3B25B2E6AF5700852416FD07B666DCD52871A106D8BBCC1CFF3F6C846F7247BC2A7849C897AD8950630A9EAEB9B873B99AC7F280FB60AE81EC245629AB010777FF7771722CDAA8465F6B51028D3B1015249AD2C3A235975BB03B2783639AD9C46E0994FEDA332C4FDC0C315E86F1EAC7F3903BC300436B6B8430A00C6C284C229AE9504B835374883E8F2028A28F1CC486E9225E1F32BD0F30EE3260C3F68A92CB803AC99C901CE42B63B300E0AEECA9421B87652CC78E612CB62C09F8E8A62B1D55FD175A563C3F232D007633B915DCC8ED5B0C2EA85990457B092738C5AD704560003EE88C3362C9247820853932DB9E61EE +ss = E0BD6870B0308BACBDA1061628CE8F0D + +count = 4 +seed = EDC76E7C1523E3862552133FEA4D2AB05C69FB54A9354F0846456A2A407E071DF4650EC0E0A5666A52CD09462DBC51F9 +pk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sk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ct = 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ss = 377A154FEDAC0A7DF1DFB1409D34F568 + +count = 6 +seed = 2E014DC7C2696B9F6D4AF555CBA4B931B34863FF60E2341D4FDFE472FEF2FE2C33E0813FC5CAFDE4E30277FE522A9049 +pk = 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ss = CBC8B73A7F31E6E4B909DF774D17E1A2 + +count = 8 +seed = CBE5161E8DE02DDA7DE204AEB0FBB4CA81344BA8C30FE357A4664E5D2988A03B64184D7DC69F8D367550E5FEA0876D41 +pk = 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ss = B49ABAAE30A790FECE54A3F113FD575B + +count = 11 +seed = 6C029462CA42ED520F10A579F52687101105E0B90C6E7BFA582A4C112B579D5AD0A0ABD38F72ABCFDCAAF5893A112BDC +pk = 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ss = A663DA396F96655AED1602ACFB1C83B3 + +count = 12 +seed = DB00120937570D62331F4C3F19A10465231EFF46465CDEE336A0D46AA1E7493DF80F18617F9FFD0476CF7784A403EF4F +pk = 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ss = 897ECF117CAD056AA7607F485F5EDBBD + +count = 14 +seed = E2819EF86853BCA1B9DEE7EE1C1619988964F9A913E635AACF0D96CA6E0300D084329DABD8F149E24176D22757404260 +pk = 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ss = B58E59F4A05558B84AE4851836CC49B2 + +count = 39 +seed = CF520B92A2E3677AFD003EC1EC6EF136A709D78F828C9C0DD4946EFBD451C5FAABFC83CA66F9D3D17EE4220553B7A69F +pk = 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ss = B899E849D60739D059CF343F459E7230 + +count = 41 +seed = F170583CB451D8A45D105457C02C01A33A40350616ED8515BD49067142F61EFB00F07857E4FFF3FE11E7164C648C76ED +pk = 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ss = A3ABAE416B3EFD3FA907D5C21E9B8F51 + +count = 55 +seed = 467F6158CB86B724039FF18C47950AE5C49170163C910FC9A9B30141F86E9C06EBCEC91497BCD156D95758C9F0C6EF91 +pk = 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ss = A5611782265E1932DF3B7E736F40BA3A + +count = 59 +seed = A0264C58AB1F2CBCB212077FD378D340307ACCB31F1312137CF84E3D3135044D4EAE8BD38BC3E540A0C14D46458F6179 +pk = 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ss = BBA5BD08A7BD6DB8620A1C1149B00D03 + +count = 60 +seed = 99A9CDBFC674AB3FF2C64CDED7D697A6E27A767434A47AFF7C3FBF3C6A22D6043D27868955286A13EFE3DE36D22EC48E +pk = 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ss = E72DEB6A7678A71CC4986737F98204E5 + +count = 61 +seed = C799D57B41F28C5C446DFC58A5AC6499C4BCF3C162AFD2B09A16549826EC2A6F689E44BAFC4ACC82F5D6AEC23F4A3993 +pk = 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ss = 14E0D35F4EEF91D784C700B5C9E99296 + +count = 62 +seed = F7AE036A0176A9DE9A036A542DD2840033277C44AE936D10B768566216DE9D4395CD42B116873B69D9804BA6CCBC05D5 +pk = 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ss = D229BBB3CA9080B96B26D87F2FBFCC26 + +count = 75 +seed = 8E2995F1B3E43853B18916BB1212ACEB05898E2B177A87ABEB928AD7184E59695C56B2CCCF5DB80853C28A525E327D13 +pk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sk = 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211EC0A98ECFA99BCF11E20042BBC5AC8EE0529BE358D76CD0E35FA55597FE8B27EBC856B13328D88F4D50D6BA169C821153417186A701F8038354A03885D7EA9F65A8CCA89316C29B5CF5EC4820A79E1A745DC32C81837675151862909DAAE94D6B71F444E507CBCC540F8E4200F59D56AF1EACCD8B97A00B084748A066FE2FD945C7A69F07E7EFBDB1CC947C7BABAFD95084405F60A9741C40D8AA7F9120619501F81400C381CEA185617FF07832A0C9A79C62E41D80FB89354AA20229C1B346F4B5B8B127A991BA2E430E7FE29C4B99F9BDAFD77581607BCC0E003EAEDE18AA0297590E2E27F4FEEF0FFBD15C31BF6D1615FEF8CF15533671FBAF71D2760DF9232327A27A47E08227B295374DB0F25C9A01E70998C6E54D1AA70D5867F0E1868D27A85CEE9055B270BFE04973D4B29F14AB8B0BE5CB2BE9D2A4204717AA4063721C26AD72ED6B2F007E327EFFDC4A5FDC9033903FC5D8681D +ss = C96B986298CC6BFDA4253200192D1573 + +count = 76 +seed = 9218943C51FD2DE47E509AAC67EFF176795102F37D7A2017E3AFD768FCDA7877AF38739B00FCDF227C2FD62EB635942C +pk = 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ss = B1466D6C93EDFD9DDA1805592F90690D + +count = 77 +seed = 542E20078ADD5296050AF150360F057F6B9AB3BA835589DD56987DE805F900B906505B5390A0D86CBA28038992DFC59A +pk = 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ct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ss = 8C41BCA14516014306BE132DC6EFDDDA + +count = 96 +seed = B3AC6503206ACCC2A92CBC210D020A2654726911D11CE676AA04FEAA08AF1D20C654E4105883AE470EC3AB299075D420 +pk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sk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ct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ss = A6DB9C606E364AECDF4AC552B41757DE + +count = 97 +seed = 59EFF60B1EF6185DB34EE1E3B1DD2F159106CECEAA79BEB74923B4F5623D5BC52DBF5D2594A1F7C6C64D12CF144E9ED4 +pk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sk = BA2FB9318D4DBE7488057C33E95E6F056939B6856262B11B084EF55E11ABB72D2062CEAA72A155F0B158F10039261E697967B0BB7EE0AD5621B7C62179401C8FCCB5BDA55776AF330E450DAE2E5B7241E9CEC5A2C09514CB96CA35A7BCACEB781E6500D62CF7ACEE028461D8A542F5FA2B7FA25147D62AD481F97C4E2AAE52C6B8AF0D5CEFB771E4E42FD707FEC2B9BE61E403D211DA70AC6801BD0472EDAFAF17A0DD1D772D3B39FCE955FD37648EDE750AE8B707AF6747A1EB53A91EC66C25F30DDB3171C8D83A8114DE7F722460BD017811EF82DF92339BAF90291CB3B37879D4795FAC777793F2DE1FA2724DF4EBE6CB6C0EA6BD6D9548D3AF8701E21292B6791D2A9B0E2901A45B0C8CACE6E2F70172B04128CAE55DCE6B0A2EE31013D6765E7C027A6985DEC8F02ACD09D4BCA7F79516D4F3F4965EB572717CB3BB01FA8871B8D508B9DD59342A43AEAEBEDF788AB4A64585C0C0CB33E1DFB3063566F3B549F4E801AEF11420094EF1143F2D9C84DFBE574301 +ct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ss = F68927D6306B93CC1F822E2CBB5C43B3 + +count = 98 +seed = DDDCA9DC31BEA737D3F474E7560B37FACB2F53C803E768FFAADE7669FF94B1D4FBD17068CFFD5DFDD24AADADA4EF6B12 +pk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sk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ct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ss = ABB141C9189DD1D2F5BCD86C02037C36 + +count = 99 +seed = 2A6F7386B815366F572AEB6C79E272CC21B7095FE09575F18072C9D677DA23BC9C8A4BC393B7524604D299BEDD260C8B +pk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sk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ct = D170E6E4C5D4540AC2628029CFF149B7F0CDBCA679EAAD94357DDB9AB0C2CD0FF42C0FA0B7C74C4C3FC39D6CD3CC7919CB1053CC58E9008C9793A8098304B2EBD814ECEDC8740F199BF1B4A05B64F4E70A76B4640330ACED9967416226A7946A1C18C433F0C260B1B4FE5E82F800082D86B188A477CCB81B0EB7D18AD006378B28684A6D479FF53B66F3E20C597A5AB93E978EAD97F3E4A62BD31657B1DDEA441851B71A022066C2C3FE1A31E36BCC22F60C12E5B6D4012879A88B39CCB914480CC30F1489140CA9A9CA54DC2CB635E450A0E2308B1EE20DE8502602C744968E57841BCC8F62B0AC14EEB35ABC77BE42EBF33AE0EC3E53FB62EF6058F6CF27DD91D26CC9EA1B8996F35BD800E15928C7318D0014E2A29706E62A8AF0FBB8A2512823A09E4AF327234ECF4086DBA31A8B26E130633256C19D0BAA5244D3DEB6E397E6B2058DB40BBDB700C58C6E1664620548D2BA2F8702E95878 +ss = DA40C7AB4E2ED76E4A3BDB509B806E5C + diff --git a/src/circl/dh/sidh/testdata/PQCkemKAT_434.rsp b/src/circl/dh/sidh/testdata/PQCkemKAT_434.rsp new file mode 100644 index 00000000000..5f969bb0b11 --- /dev/null +++ b/src/circl/dh/sidh/testdata/PQCkemKAT_434.rsp @@ -0,0 +1,702 @@ +# SIKEp503 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +pk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sk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ct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ss = AF1280151C2C59B4D4150B18BA7F71590523CEA83C9BDDDA + +count = 1 +seed = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC81ADDE6AEEB4A5A875C3BFCADFA958F +pk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sk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ct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ss = 810D3549BEB3DD6E45EEADBB75386F6A63FF3330ECB04C22 + +count = 2 +seed = 64335BF29E5DE62842C941766BA129B0643B5E7121CA26CFC190EC7DC3543830557FDD5C03CF123A456D48EFEA43C868 +pk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sk = 4B622DE1350119C45A9F2E2EF3DC5DF50A759D138CDFBD64E82FCC97CA60CCB27BF6938C975658AEB8B4D37CFFBDE25D97E561F36C219A0EE18612D0598700639858EA9ED63F644ADEBC7EB1A7FF24249157F928ED9E32C54A60120D63C98F610550069F160E0DE97A555C0810A963826A3E097768B102ED61DE243D9DBC698E319C271A8CA84BE6FC03EEE068145F828BBE53BF58D3EB296A77968765DE63B6F413F6548981A623BC411857B867DA3CFECB227ABC243BBE8783C787171B6EE8F089DAAE7E47A42970D3497F58AB596063CC7C6B37F39AE4B50F16157A456E9578F4C4C15DD81F627824CB5FA23830574F42317F055B6C68B7C47221D7BF66F935AEF1C8BF4FD621BD8932840FE2A1C62DE65BF353E8D5A7206D46B1F281F8828B96E171AAEDE31873E1C49569329B98701E39336B8A1A11937CCEF0F78BE88B470B26A1491C6F6AFB9E12638B0A69BB8E2B575C9A58E6256131EC4901CE345B5B6F6987B477D11407C6755A0D3C29CAEBD61A626D30BD86A7DF57AE44D1A8E460CEED2028F9A295D4F4480D9932859A8405959A36C482A94CCFF5E0CFC28E3375113656AE7F538A46BC5F041F2D5919232B +ct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ss = 68CFB6A6E01FB2FFD8707C8278D705E0DCB53A502BFAD6B4 + +count = 3 +seed = 225D5CE2CEAC61930A07503FB59F7C2F936A3E075481DA3CA299A80F8C5DF9223A073E7B90E02EBF98CA2227EBA38C1A +pk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sk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ct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ss = 6CB10B8CF5C9E4D96562A962E5C1B0553799BCE28197C48B + +count = 4 +seed = EDC76E7C1523E3862552133FEA4D2AB05C69FB54A9354F0846456A2A407E071DF4650EC0E0A5666A52CD09462DBC51F9 +pk = C4C97E7F806E15524BA63CE182DC0838B3056E17880565D4EA4665FEE04333AC3C2107C358D4B472F431A19EAF8A336AE7EE591142410A446D41397DFE653DD456824288B7772B9A0E697384FF67986F60CA04AEC1B07032483959F7B32C1F90E1CB538182F796A8B0BDCB639EC7B5A963CF4EE2F988A1DD96CDCDF89233E97A9B1387F3B607498AC9A6AD3C3B12D5984DEF61213BCD11178C061C61CB18DC2F28A984388BC01C4160FBAD75BDCAEDD670614AA17C5A909A1B7A3EB70399CE79BBAC2A44A84C65AAA2BC0C5C1B9A4F89940AE3246640B55E050370F73C26151FD67D8B6FB3C467CD2DF3DC15DB35963FA1A3713BB915CA93A9B2E730F0D3FB412F96BBB3CB3178BFB79C6CAB3411068C31612164FE0FE12423E7E48AAE429C98BF85E80F5F7E6FA7BACFD69E7ED873C168695F9CD89926EB29A40CABD47477B01FE57B992B870E510E29E063DEA9097CB15DFD842D05AD36C34D9967DE9DCDB6DF80F8E47F67C64D0D38AF185B443A08DB897BA69F6F4CC2DB2E +sk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ct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ss = 815FA89CD9C0C6DEBD6D4C3F4B38FDBA423C8AE4555C6939 + +count = 5 +seed = AA93649193C2C5985ACF8F9E6AC50C36AE16A2526D7C684F7A3BB4ABCD7B6FF790E82BADCE89BC7380D66251F97AAAAA +pk = 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ss = 4668C26A46478B62B40E5BED0BF71492A7FDB443FC010AB2 + +count = 6 +seed = 2E014DC7C2696B9F6D4AF555CBA4B931B34863FF60E2341D4FDFE472FEF2FE2C33E0813FC5CAFDE4E30277FE522A9049 +pk = 4B8C0E0261C43AE34A19A0C61C63C333C8CC58E415944FDEFED6A7AF831740BEB8BA07E79C806CF4DA9A1DE9448F657F71E0A05C0AE67C0243E36BB4A0560F0F08BC79BC60A32E66B84D9C8D3BA2AE66B7B6DB17584647D9B412DD25219D3F52CD939E8B29FE13458460A22D9EF857DBCE1C41E84796BE1B5653DD37660F57C76419688DA976A1D42D53357F42A80BE16B74F289C1EA06D9410A3E4AC94FABF1A05FB87CD0E3233B469E32CF98500C8FB92C52743A4923D83370AE8509ED2C24F05A3B03EAB4D6AA7795EB3AF2F907E06CF0EFCEB2019C6B6544F0E9B075C438BB0433669B5EAC9010733ABB675ACBA6A3DB1E0EDE690DCD3CDE4E2B17BE9C0B26411E9CD7C5C06B18150DAB03D7C38CE09B4FBFB64827FAFE6C7E62E19C9477F73E1CA00B0A737F3A8CCF6D669979DAAEE8B445372C147790D420DD53630B87676B53FFF90242D834125A1A369975EB3475716CC7B9E168C4A9560B364F164E6EDFE67DDC1967C16496C339789D22C757934980C39752E10E1D +sk = 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ss = F9CDF2C113564143F3CF1EF59E20785D99974121A6832AEC + +count = 7 +seed = AEFB28FDD34E0AB403A703B535296E3A545CA479C1D8148E2D501B3C8DD8B1034BD986F13F1A7B4671BE769359FD2AAB +pk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sk = 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ss = 7D5AFA784F3C460498AAA1782428C25E4C3DC97B6F7D3125 + +count = 8 +seed = CBE5161E8DE02DDA7DE204AEB0FBB4CA81344BA8C30FE357A4664E5D2988A03B64184D7DC69F8D367550E5FEA0876D41 +pk = 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ss = 25356B80E1208646C29DBA5EF1348D3265E8FF9E767C4465 + +count = 24 +seed = 7E87FB886BC3C7C9FC12569F465D2ECD12532E76CC27C65644C8D3DD603B0CB2D036C5974E675058F271D5C82AD7A813 +pk = 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ss = 55501CE296D88A5A9C9C962B05C7562B8924ACF2128AB352 + +count = 45 +seed = D3C9EBBA6EB03CCB5C9B9D2C8D7F0CFBBF50841E24396CDDF0E56525B38918C2FBE6C34CC1B93F7BCD4F4D5777E1A488 +pk = 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55F3EAAB473FEBF0CAA4B5C5EB737BBFEC56D4E1CB64899E1FC60BD392ECAA345D84D73F1896527F79E966F5EA58C683B43386AEE0B98CF745365DFC0F2525BC5E692947E7257585DD766E6BC9FE0104F8FCC402F947AE491437A797FC7BCCF6BA7447ABB15A0DBD80E11E419C617B2DFDD231A2C39ACF734BB9D2713D17975C78F8255F7CE70BE77ACF8B364A29600A419542A74DF74F037824CB73BF62070BB7D9AE6967D0F4363544312006F0C9A26C3ABD7B421C8B481F47B2A01FC04DACC9915CD373F4CF9A823A5E3B0D8125E4D8F2576536739D5348EA9E30E03C5F3B9B115B9B36DDCE3AA2C8EEAAC1743000041C0CE97F4F9A630726B713F72339E81E36C0EAE60434DE616CC0E2738B6090CCE6EC0D1F3C7F9E95D66BBEB87218F9580A236824C292FA312AE85C9F67A5C45393781870B5C08F6F5209C2DE8B1DF17E8309CA1C0E0DBC981F2FC3911F054497F9E507A5E9708C3F964E16678D943425162892D882C5D7E8B218EB69FA71CD4F61FE7EE8EB5A8F512815829B4A6BBE3D27AA1E48F570EED41B68EAE8E2FDD03499 +ss = 6611465188E82C488DAA81274C8E37E2B3C93A885D9009A7 + +count = 53 +seed = D71729DCBB27D7CB39E9E905025D3E55C8602EFBCC483C9B866EBF82326157833169243C14550AD728BD1470F39C642E +pk = 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ss = 3F068357967BF2EA7A4C4A1C3A7DCDEAB3690623416DDAA9 + +count = 54 +seed = A7C2C8EDB3601396BEB2DF0657EC82FD5780A2723581A9E03DEE1CDB018440439BB1142CAB0487C5D136E9AF46338AB7 +pk = 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ss = DE7DC467814DC94405A38C45B0E6FA2984DCC97598D75874 + +count = 55 +seed = 467F6158CB86B724039FF18C47950AE5C49170163C910FC9A9B30141F86E9C06EBCEC91497BCD156D95758C9F0C6EF91 +pk = 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ct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ss = EABE408DD38AB61A83E0E1515ED453208B6C687EFD749C02 + +count = 56 +seed = 687C02DE1041ABAC7B2C1E6EC2A7C3375552ED5EDB10E3A8139C24CC76BDA44D719D8121A81D47A0B762B4E9EEB85235 +pk = 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ss = 15ADDD6F14BF3F56D5EC1747A00A4BDEB6E01EB242D939FD + +count = 58 +seed = BD334D7B7EB14E00E68863F2E5551A095F8AF10681C28353FD19B9A7E70B8BFE266840860609008A567ABC66316C77CE +pk = 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ss = DC5408384C412EFE0E18E8BDCF488CF5D0534867A416A697 + +count = 60 +seed = 99A9CDBFC674AB3FF2C64CDED7D697A6E27A767434A47AFF7C3FBF3C6A22D6043D27868955286A13EFE3DE36D22EC48E +pk = 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ss = 74900EF600281F369AA1B1D1472FBE03D608C826E33CACDB + +count = 62 +seed = F7AE036A0176A9DE9A036A542DD2840033277C44AE936D10B768566216DE9D4395CD42B116873B69D9804BA6CCBC05D5 +pk = 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818C523C10EAE59B093DFEDC3083B4AEA2F86DD8F902CB935D5F984FBA9C2E453F971B90EC326CD02B3C6C5FA25CD3D5D3ED3CC2D463DD7D5550427E0A0A3E387609BEEE98F723C9124B16D7B59955488EE008C40A25F7F7F6E6621A826169F7E8F01382AF6C5F49136742C61899A97B38376E35DBA5E65E391A5951B91B86CFEB066E80D82B06A0C0F5ECF326A411A2E5C49F58CA6B1F95DC7E79AEF474BCB1E485836E2F220FCF29CC5CEEDDE1C2D374B27A116B84BAEA728C88F51399AC8FF101F384A9AEE0FEB03CEC12873B406F486E8D64DD15F65A475A91E5F98337CEFE2861AB2C63C291DB14242BC0D0892BFC929CE0ABDECDAA4C2B05118C4300D69334679C64662F0E34321941A0E5BA638259A2410EC56D18204A96837F5A0C186F9D0436FFBFEA8612DE6F665765A875E676056EDF700A0E0F102D0889E7D0A93238013D38D7C9BE7312D1C96C9960FD3C28A6C62D874155AB1672D4B09D4F1D051FBBD9863CCC80B20A50966E4659DD03265816080E6BB614222D63AECFFA58C2A94539700CEB3A825E4B5B0041CD1610E2 +ss = 45EFF041C387924E111B34C419C409635FB2F40B78F975BA + +count = 63 +seed = D995D38F934B6E1A7CA77C9522E3D037676CC939B0C8BD4B84394B3DC91A791F09D2D97199258C9943DA955E7F7B26FC +pk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sk = 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ss = 6709B260549C1BBAFB6A97C9034D8F67ED3F62BB1BC80C1F + +count = 64 +seed = 5929F02A271725CB40200DE32D9D03D8BEA53B53AC83186C42C7F565CCB1CA508305D470850CF86E9B2C61A5B8CA1C93 +pk = 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ss = 0B6B8EC0C8CFB0ED111785D7CBDE0162A44C96D58772E5C8 + +count = 79 +seed = 7F4A56EDA151E7B097CFB8EF980440FFF707AFFBA91867C89522CED6C5FF3BD7F5F00BB49DDD615D9361A7E4EFA42851 +pk = 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ss = C506F215F739D554DA46B2C9FA8F98DA69B52E1FE7BC5574 + +count = 80 +seed = 09FC004519BCF85B20D25D314A0DFC79E00CB6262A7DDDF9C52473641AFB8CFA0F5DD5F53558184CAAE9EC34B459E98E +pk = 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ss = 8E29194E92798F63A56372A284CBA20051D66FCE75098C33 + +count = 81 +seed = E3C41CCA6F04CFE7732FD54DE30CC5CAAC93E2F80E76AED7D24A962A3969C1B6A311459A3EC3E510E3E9B1E4291D4D7D +pk = 2B9A9445EAACDABD31AD55C16D217142CDC68DB45F519256547C4D969953059328AEF6EB5456C73674160B154F62DBE5F49185C5716F3A024DE4EBEA756F23729F8227EB42382B53B49AE72CD11F7C4CDC286DC6AF0A0BD2C1ABB58C373E661ACDD5F036F67C463361763D54A7E07AE3CA8F2D82D13B353A695FB617E005184090E413245382B6CDD3BE109B378828C7EC637552A88912127312ED7A453797D4E2971C116CC628C48337F5048B440DC32CE6E5EAB668A0CFDBC8BC3936DEE9C5281C9EE7F77F191525899D4C77CE15C3005914170D8AF1521E8C6DA8A6A2A07CDD0AFB9B989076AD0535E552020B19A8C4D148E5408BC2E61B69B93B332E1F37DFF246C98A2ACED92953376E00945B439A5389DDD18CFD8683E3FE16A2B671CB7BA206ED9EE26617B735B84757825E3D2AFE47C2AAA6128C47810883D98D6BB3F84F0603F6417EDEA1FB2C3268FD340CDDB2486487BE55AE154B83C505DB1A10549E3AAF24F8ED3E6184A81580D56D156E3381FEF2D3BF62DE04 +sk = 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ss = 78B38CCB78A36C6AC719A53A4A571DF65F7021AC114D0742 + +count = 82 +seed = 373FDDE922CFC416ED96B444E445BDD0962E8989F6C50ADF9912A89937C57217D3600B06C95440448E3F601AE69CA5BE +pk = 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sk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ct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ss = 37BBC45B6B83CDB5B8E1E01B05C8DCCA445E9362D853C869 + +count = 84 +seed = D0611F9AE5BE4DA5D7EADC9109944348E716CB3DAEE545721EEA8C892E7831CF2E54603146454CBFD92387739E9A78D8 +pk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sk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ct = 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sk = 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ss = 32F85E3ABC134C88F5994A0C9EE049FE07AF4D7EE67F12C6 + +count = 86 +seed = 1722219CB5DB47374EB0AF0232C856A57F026F1CB09E5A5799F4C333DD422FF6A0A67C4DA502FAAE727FB2D45DAFCF35 +pk = 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ss = 44F2C67406C5E032106545CC7118D8F3FC0A0FF6C1EA93BC + +count = 88 +seed = CC7152849C98D5FED2813275D32069E44824ECB14EAEF425CE017448CD9A401C91C06D0F7EED6D22B7BBE8BA6C429EC3 +pk = 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ss = 4E77D3896C5494B0B06FEACB1DB71A345638B0D8BB0908DB + +count = 89 +seed = 96D9A06F88FF2C2036FA8E914B89C765E4A510B468DEE40F914F78858C811857EFE9FD0E17C0048E7389E8D996B7E2B0 +pk = 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ss = B41F3712746A65094FDC479A3AC76C79E7516AC03C6EF8F4 + +count = 90 +seed = D26CE360D399BF7B89DC364AA7AC06BB513EAB8F527383E93E30727EDC3F22C262AA0EC70257B39EDFF0630DCDC1B79A +pk = 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sk = 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B5956BF403C0CB061B8D63A42E855EE5E6E63FE882520210B54C69803C619B22FB06738FFBE3CBB263E0503170A407212C58052F5DD73BF4694BA992BDA40DA8BB16025D0F86560B21B876B8805DF6C5C6296B84D01D866F17164103C0CDF3D601F867F99FE10081153126ED60A68F04D7CCDF5C87863A0F35DD1337C916E714DBA08AFA092843E3D15448B9A35FA62B026A7103820F9B641AEB0FB87AA227B26A1A8E8EE5A8DEBAC45BAD8A5E2E6042CB2451D19ECABE4D8FE1254020EFE25D9A1C2459352ACEE5EDA84E939C83FE19C7162DFFB17DA5C318C0624300C824693FE292523E1885948D168BA21ED2F2BAA77E3064EF776683F100A71E19C37475F66418EB5A8FC983DF5A4DE8B7FC638EF45AFEB3AC9FDF12924B657EFE9786569C1962BD4A551B42FEBD37D256A9A199AEEE86F75D0E7ADC41503EAFAACD919BBBB338CB03D6152EBD4389C18CE6EFF16901A12364DD31FD6B3856FD15F7FDC0FBF47BB6650F44549C04B0EEDDCA0A34EB386DA21EAD88E8A6012CCB381BD4435743FBA5982813B2F155E468E3259D4DF74D +ss = EB336F774D19B142F59AD745419C288CD4876C478F8D923F + +count = 96 +seed = B3AC6503206ACCC2A92CBC210D020A2654726911D11CE676AA04FEAA08AF1D20C654E4105883AE470EC3AB299075D420 +pk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sk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ct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ss = 9C09F9F457B9A961DDAD79027B92AB15257CDD6FEB7E91BB + +count = 97 +seed = 59EFF60B1EF6185DB34EE1E3B1DD2F159106CECEAA79BEB74923B4F5623D5BC52DBF5D2594A1F7C6C64D12CF144E9ED4 +pk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sk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ct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ss = 3C988FB8F65F3CCF385CEDC792AFE350C019C819A697FC47 + +count = 98 +seed = DDDCA9DC31BEA737D3F474E7560B37FACB2F53C803E768FFAADE7669FF94B1D4FBD17068CFFD5DFDD24AADADA4EF6B12 +pk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sk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ct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ss = 1CB460A2C31B62A729B4D0E781498CE4C4C8B6819CFD3F3A + +count = 99 +seed = 2A6F7386B815366F572AEB6C79E272CC21B7095FE09575F18072C9D677DA23BC9C8A4BC393B7524604D299BEDD260C8B +pk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sk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ct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ss = A047B7E873C8EA4ECE4B143C3E0896E9E9C7863511508292 + diff --git a/src/circl/dh/sidh/testdata/PQCkemKAT_644.rsp b/src/circl/dh/sidh/testdata/PQCkemKAT_644.rsp new file mode 100644 index 00000000000..9788a3153ed --- /dev/null +++ b/src/circl/dh/sidh/testdata/PQCkemKAT_644.rsp @@ -0,0 +1,702 @@ +# SIKEp751 + +count = 0 +seed = 061550234D158C5EC95595FE04EF7A25767F2E24CC2BC479D09D86DC9ABCFDE7056A8C266F9EF97ED08541DBD2E1FFA1 +pk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sk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ct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ss = FEE94595E8A05C50113C044D4D8558DA101035EBBF604AA41D0AAA75B8A7F786 + +count = 1 +seed = D81C4D8D734FCBFBEADE3D3F8A039FAA2A2C9957E835AD55B22E75BF57BB556AC81ADDE6AEEB4A5A875C3BFCADFA958F +pk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sk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ct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ss = A8F68D31099FD86235B5A72D9DB689F25AE6FD1EDF0765744F83A6A6577EC0BC + +count = 2 +seed = 64335BF29E5DE62842C941766BA129B0643B5E7121CA26CFC190EC7DC3543830557FDD5C03CF123A456D48EFEA43C868 +pk = F84DCAE8F838C1F89B17F6C5E159E7AC16C87B99154EC9D00EA0F1E99BDFB70C7A82E2C7262907C70D3E6003460902618494AD5C19690F26758A800C41095430EF2AA4B1D677A4D9DEF977412349F9DDB745CD75268C9E5929FB669F6B6E710B4B03F57C2DD2E9DF2ECAAC84C59A6D99B13DB3BDB9AFB138783E21D443A5700FB1FECB24DDCEAF55B7E12EF2C68A992B7308A09360EB924A6F1C82FD39FADA40972776941FC9FE0262661D547713E96926203BD8FFC822E742A8303EE377A08716EC15840BA178DECB4CE11AF6A06D302F60F003F61E5BC2E4204F9A88A0EA17C765B38CA497D11FECDFD56E83BAC72D1A34998D055393AC0B98333E385F7AC2E84334B370A5A18D52A054F018B33D5B61999AF114B0C3D1F1623C4EB6027784927839D1985BE4F4E54E09E63BD4BDC088B41C0E9D0227FE669D5827F643CDCE7831DC1567BC78AC056E0F7B5A1F6A5D9F54BF2F2CB88D091EF9F5DBAE3EA4473C4891FC76D85F7B04E777AC222BF1F382E0D2825EF19C33FF25D430610381A0A0013B338972E9448C95FC820F87CDFA77DDAC7F8284FAF7D21641BF26D6000FFC7D4D5F1B9596F209B8DE93EC9DEF1360455D1AD235D3B60D8B3EFD9D6E621E775C594D65D58AF65E9DA578B2F414D5CB47F5B8932BE8497543FBECB12D93DF4AA7C46DA0BD0FBDA4CBF542D69D204908DCCBFFDEDD92753B09411062089A035E59C3280A72DBA84D0C2407B59A18E5A75D29F2130A26607D45D1230AD7CCD496B8FFAB71F1A990EE575FD5546D47190CA3C91C +sk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ct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ss = 52FBD8CC39FC5F77D544B9613452B8361BFF5EA79268331B02FF7F0EE145F54F + +count = 3 +seed = 225D5CE2CEAC61930A07503FB59F7C2F936A3E075481DA3CA299A80F8C5DF9223A073E7B90E02EBF98CA2227EBA38C1A +pk = 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ct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+sk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ct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+sk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ct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sk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ct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ss = 83C18909FD73AD3732ED11B61AADFC25867E17CE0900C7F001293770325169E0 + +count = 7 +seed = AEFB28FDD34E0AB403A703B535296E3A545CA479C1D8148E2D501B3C8DD8B1034BD986F13F1A7B4671BE769359FD2AAB +pk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sk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ct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ss = 600D281AA7B4FD07967253C51C8628F082C0DC380246C5BEC4105483E2B6D62D + +count = 8 +seed = CBE5161E8DE02DDA7DE204AEB0FBB4CA81344BA8C30FE357A4664E5D2988A03B64184D7DC69F8D367550E5FEA0876D41 +pk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sk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ct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sk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ct = FB194A48F4AE908BE6F0D90E06EF67E6272B23E89473AFCEDE9FBBDA7E23AEE79B8B1111828673DD325CDCD5F806B3A38E2C929637A58E69A1CC08C4037D9BCCB7E0B742610C6D8E814F5824F3F720ED985038AE7806F8D593A0DC2F7C62B3DA082CF00E1D87095C950CFB96E7BFDAF5E83B4DBCE54A54FF30DACA521340AEB698CDED3A03CBA88AEE7201E8261363188BB6354B3125721663FFB4F495D98335B4D5831F4736C0481C784388A4003D0E4958F981783D6E5553AF9C694A7369707C77CE1A7A4BCFF591CF93029724464AA985C6B65FEC057E4DB81EC83D199BF10293F97E6BC1333109798B4F82EFA057C43A50111C6E1AB3BA3EBABA7754E1E884F1B5B4D391B1D91BA95035B10E80990CEC4E507CFCE868BB53E2ACC4436092D259072B4D135893BEFF845E7A3F06E61244B5DFA0CDD05638155D6ADD39B7B56353675C7DA949D64DA265CA708ABB766843921C93638BFE2C78E0D7B1E5BBA09AFA6458C3890AF8EB3574E93A7E2577E42EA06F0D9C454D775127BFEED0267E78BDB76ED8E39D8CCA1AC2D2E32236841A920CE883489DC01768AFF0F9FC2902A2E1F5C7968E4E3918B7171D28E2BF9BE0417266189CE13D61957476A6601C55BE2A2ED1550158C179D2EC004870CDC7F67E4869961DA98493E820AD1F2CC3B0C6C523C615C0085FA3962C925A3322DD2F9A383B14742AED8613543055B5D688BA91DCC7FFF36BA80C6E3317BAD4195E26AA8A01182082AEC8D0C172405760037583619585A34BC3D14B85B2C8B6C02C26B5CC3A24CC95369628E71CA7DD37DA150277327A65A8315B9D4D4CC35DCB575D9E4855 +ss = 0AC4196CED9103213B8ADEA333A872DFB2B029B1B9095E32BC24D30441DC4E8C + +count = 10 +seed = 980D0BA7C8F8B23D0E948A6029FF2659810EA1360064663A8994D0333C8543EE5FF5D6D5C9ACF446E61DC464F792B9D3 +pk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sk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ct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ss = FE8CF769164A3ACB29D531BB06E430386CFA36FEDC4D2DFE4769D738BD0F776F + +count = 11 +seed = 6C029462CA42ED520F10A579F52687101105E0B90C6E7BFA582A4C112B579D5AD0A0ABD38F72ABCFDCAAF5893A112BDC +pk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sk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ct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ct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+sk = 4C04310BEA66305C6CA8BA6B8F61CA96257A67663AFC11761F13FB5C7B324B6B8AEC87A9A79204CEE2986867A2906EB851B734B8B22B91D6749B1A5F07C44E3B8F1862A59F55A7C0859D28B7F2A8E703AF0F2D51A5A0AAA59F619B8F7F0B0436714E31DA4DE0C54352624C536AD59C9B23C95DDEB2DDE00E889936EE8701D4C545E2AA1FBA31B1E5EB71A6BFE3EFDCE0B95F6787EE16FA966011F59CFC9E4851B32293E2B790AE6CD2B85CB4B06F7D231412EF8C045ECEAE9DA7AB62452FAACEB572E3D1DC110A765B59CDE681174C79AB16DD039D9680D1643A8CD24CAB1C5836C67099A2FEC99689E4586C212269A645363E8402FCAECC43F8EDDAB2F5246BF4F481886ED09A7AB7041A19BDE915692FFD1B2F6E99B3F50AF9CBA70CA73673864194E851D5C5AA015E081A79F37D6C1AA514EE8469FDD1AC462E2B3079E080D2FAB8BBCD6EF87D27225C1A0A68C626E21516AAC5B0C1930E2C22EA34F39AF0C9DAE4540E5F88BD9744D5A43EC8BF512DCCF140E3C1936EE45C258451483420B0718D20F0ACA50A3CAE891B61ECE248C86858AA9A6A95FE8868ED4424D17F024D0259E6FBB66B3DDFD0B8AA566AFA27B0BF930ABDBEDEC9F89911FAD5F305A3E6E9D011A2897552B03C67C145D7422D142A0CC643DBD3074D2CDBA0464DDD25E0FF9313654081479BADC15F4FA705B00A372D7BAFCD8BB5BE3BAC4B831CE6A401E92E4ACC4469EBC8B1E008EC3D0FDE202AF0F3B0557B6A1360FF1B803CDDAA10E89FBD9727A4CC5161E17F88923A5E26362BF12C933C3534B0CE54BB4907ADBF08A69E9DD0D388F896BD3A2737C5DDF3B50C8E0EE9BA2B683CA1F969DC3B76514E9271283292BADE432B3AEA0D7D2E50012B392722C1900023279DD988F06763EA0F17 +ct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sk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ct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ct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sk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ct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07AC8DF2B03053C532F4B8FA9058F1CA872C616FEAC135C84AAD4C6D45DBE9FBA0FF786FFB261392EECD3DD92E87D9958B66A3E96C1241022B9625C3C5FC6103218A91522AC881AA98D4D5A3AF205C2526BAA2347637C28CDD0FF6BB9153C59AB7F869C32CE7D552B79DA3191F8B8C7CC52E24A498B0229E65766B95C6FFF6E34E37C48E0C5255224FDF8EF5706B4D68C4433A61EB30A25705E39F9F06F0804E1CD2160D416ED80EB7D755EFE7BE247CAAC4A51532D25F704A477A396380257B466534CA1A9715724F0005190851E2B7644E47E5887AD19718729AE086C36B09BAD826C8DAD8C88B94737091A63099D84826A45F24F94AE04BFDE791BD6C1988409C04A5C7891D4CC7363FB795C0C36907E251B986755CF30B56E0AF1CF921838F35E7F815DB244D2E0C05A458F03290D4154ACBE27AB3EBB0A28854CCC6371F1014FE2329703B9A264F19BC835949277CEDB453C4D31A048F3E5DD97417F6F3FBF3085E9171BCC9562248CA5B9A679F6005AF64F90946260DC25EE5A4C9D68FED7613B413E1F60BB70413A15E75B8EDD0730E1014FB886763CD58084BAC2DB9B97547C96CF6274B5961346F4BE578D631ED88C821034F07BCD781EFB8C2463C11D70F6B0379894731B46485FD093CCBA25E74A9834866533D16272BFA580A62F63D3E0DE1CC982C39270304C8E3393C41ECCFFE703A7896E81249470BD780747F3B3AFD6DECE57A1F5332EF1023F63941EB440C0045E226D0933607919B617414CB4A45781FACAA6631CCCB5B503D85BB00762CCAB158D1E9C214A463DF45732C0AEF3D195ADE2E33C6B0405E9C94F02E042397 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+sk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ct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+sk = 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+ct = 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ct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+sk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ct = 0EAFD981806416DDB6A763494C23818A09161A1A574198C41AB29214BD8F05C326C36CE5C31349642455B89BD9746AD64F26897E0F37E1642F96AADDEFE2233E4E480C4EA298B97AA1CDE5505C2E7E03C85477C339CF48D62AFE7998FD0842CEAC3F41FE954B18865157BB0B8150AAD2352AD4B83010F091EEDAF2F8B51CE36DDEBF3B381675E163CD28D5D46FBC53B1F3DF4CE170175CD3EFB7B4D8E58A275E042AB27D6572CDB0D8468779ADDA864BEE789C4F5618E398D70EE8416C6A0CF7D22C534D5E616BC0345C66C12A3AB7A6369FC2F060BC049772751F3051A6056FAF117DA3FDF3FFEFE5542AEAE310524EC825FFE5347D05EA4B1F33C37FE21CE05A46C2CE690E4A76D615778B79E7B0AF564D8096875245C2F90F74B9B7588B6780FFF5F6CEA84CF9B1DD9D8FBF5DD469543ABF8CDC5B4E862074CC5C90E0686A319D2E6AC76F58E540ADFF3CC9A316F7A904D70134F9F0C0385BACEB55A0A09540138130B0271931899B8608B85B1ED7B2C7D083B546432FC1FBCEC28076D566284D4F94896BF5B2A3C44F1D878CFE6771DCE6BC3DCE33D3FAD4ABE55ED9A353C4E5D14F077F3CFAEBF5FC2C64FD70B1A6E4FDB69377FEBD8B36A75949181BB3DCF738DFC3EAADF583BA81174896AF3183CDAF1E714DF1D5691DD84D0CB8E22B865BF336E67C58C4AD129CBBBCDBAC42EC86C23BDE1E1AE2A6558B9A213B88EC5F97AAAEB978768F99037A700C9A5D8DA5173518B5F951D7B954A344CA17DE58F1A919D251B45FA41AC5201917E553F2E802223CB55FFCB662D4586E9D2A37E31A629665857C09ED53174D0C864BD2B4AE3B12C4 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sk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ct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ct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+sk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ct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sk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ct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ct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ct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ct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ss = 4D99061B6937AA37901AAED330B5ADB04694E8FCCE7D4347B75436827F2B250D + +count = 31 +seed = AD540A9CE816D6FB1661E5483C44F6FDD00C9E7BD1A8CEDA4B4C4D3697D4F78ED0A56954996CCB7DA96ECB8F5CB15809 +pk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sk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ct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ss = 3A328629E9EA491DD8FC925AE18FFF3E9C2CB62291FF4AFC4D4812D08A4CB508 + +count = 32 +seed = 288A5F2684D862A86D2790AFDDDDBAC6FDA934EE7D2E6DA1508BB550838609E8107312B28E00A6C01706374CCD3AEFA7 +pk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sk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ct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sk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ct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ss = 78696DC7DCF46923FBEC1AED5FD2EF9DC4FFB8045BCCADEA8D7557BC301E756C + +count = 34 +seed = 5DA2C51B4ACF488C8BDED5E985CC4702E4A7BCB248B5AC18AABA529F7F9CBF30EFA776E99F76D5C1686E94F50FB57DAE +pk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sk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ct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ss = 41F998F447908AD3448A348F8E73441FBA26717A83C1306C22BD8BCD4F8A525D + +count = 35 +seed = 4D2239E84B052109A78DBAB6D80C51A86D38248105970476B74A0B78B9CFAB6283E30D5A406FAE1C7F54F8BAE1110EE4 +pk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sk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ct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ss = A03F8B99F2B60AE8EC6679DB247508197CD8AC61735605BACDBEB15A320BFFAC + +count = 36 +seed = EE762F5C9021C36446706A88EF16312F4A12C725CD7AFFF1484337C91EDA8E89F7007F3705747D29907B3FB7500E5074 +pk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sk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ct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sk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ct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ss = 1A8218B58D3BE190E1050D633BB557DCD7C0C697BADF63E85B1D9355818DC3E7 + +count = 38 +seed = 6C3AFF39F5D097096D882F24717718C8A702382DC4AAFFD7629763FDA73C163CF084807BBB0C9F600CD31A7135F48AEC +pk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sk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ct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ct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+sk = 588760826DCFBD36D9ABE6AE44A669BB3EBBA6A218EAB69E30F18A3BD536576E0E860576285483BB5FD36E2F944D32C4317BEBC1E441470C1372046A790D79D4F817C85D204EE860346635D4A8393902361A539EDC2374CC6DEFCA9A883A116A6222632F4F2014E49E870F9EBCDC72288BAE0CD499BBBE728683C90CCEDFB8F8E27033522224BFB652EDCBA2ECCC55E4267816366F35A105660C8995301470980CB8623F513BBAE758FE234B002A9D2034EE92ED0E8158D47F9E27047F4A81BB0A75BB1F60097167220F19C701469DC4E46F908AA1C0911775CE5DAA2F12674B999F829C6EEDD740D8AD931B52740F6AF2343257294653FE58C0AB188974FCB0AFC7808CAC993A7ED1568D4B6B1D4F2BB1427E398877AF974E858CB7955E4DB3FCF6F401AF6C99A042B6ACB6208B747F86ADB892708AF5E5E4131F72073AC8683DD1647BC4C0CB0A2B607E30C72A4898D318DF3ADA358B4D265C35B7F2E09B338D4AF388BEABE49FF325F7CBF0B2956B8F4F300D71C7D5287A84A84C432D5FED588F7069BDCB53215F5DCEE1F23DD86A00B8D194EE69F7F371FAEF7BEBDF9C1D30397F420019E803C7A2F08DD794EB454B898AC7E574F028DEF70979F59E7FB1B7D8F75FBC996855ECFD8EFDC0581463074760B789A2309738317D49B7000D6D7A1F651BA4FAB57AEE170FAE4145C76000E9CFCD96A99F1318AD91EF091A22265E797388620040D3EFAD0C3B671F43DAAC889E78CDF60E9D0AA539F5B5D4014C1BCB0AA56C07FA8C4C15769E023EC63460917073EC6FBAE1919CE449323CB2037EBE04CCA9BA1EC0C1FDC8E075D833D047884D24F41EA3A663332942D07A568A1D3CC32C35BA2AAF6465366BC3CC5D756F16B76C4A3105C5B3073D441A8222532D91F94D +ct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ss = E168D04F9EF20435AAEEB03FA2A556CD628F309F512994AC8D45C5BD9A4C7CEB + +count = 41 +seed = F170583CB451D8A45D105457C02C01A33A40350616ED8515BD49067142F61EFB00F07857E4FFF3FE11E7164C648C76ED +pk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sk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ct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ct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sk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ct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sk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ct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ct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ct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sk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ct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sk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ct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ss = 4ACEF422DBB0D1F49DD4367046C29FC7CA96FBD872A025D000DEE4CCBA6B8951 + +count = 49 +seed = 1853E72329353B3F89AE6A1B1EF700DA8ED3C10D19F9E61EE9252E28EBB0E15802EE43083A12A0B7527088832605E3AB +pk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sk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ct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ss = C54E70E7194F597FCEE8B17013B77285223253A43FB6EA82D32C532ED4E4F41C + +count = 50 +seed = 027C3D5847ED4470931141104F25B19AE76117CBB64B224EE424FFB782E9A0E988839E0BDED0DF666FE8E5FCBB5DBC09 +pk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sk = 2D5DF64D62CB07FE630310BB801C658DBF3D97993E68626745DE39D37FBFC2B27B534537ADDABA4ECF14F02AB317D36CB9F0F50222CED7CF029DFF8A0D3D2FD9AD11C88352139F355097E0FFB2E7EE02F51F51D2278E6890FCFA73FDAA12F112BC7CFD5B3B88E59B630B7D12D0F44A63A6E0ED43B064663360DD83FF4CA122B7E14CD3A350CEA4CB263F8E283006A84A06F4448FD93DDAAFDC88B8F410E5C2EF8925DF331D0A05F1C79021C99F00CD4FD17ACD0911489E40A895F2F7F8D1BCCEB91EA54E4206C2A6092F069F942821E0F98D72A9ACC0D72D1BE115EA379F85CD8DF484BB6135CEA7DD5EDF99CFA73696C512F26346C659A57BB812DD73E76C5C4587FB8BDF9AAC2A19A1E32FAF3DEAB64093EC175D4932336C2606F804AAA923BA14F25158B30BC6B389ADE5E8FEC02818A2B5B97FADFF918BE47C199AC607FC8B4BF93EF38C689A1F55E8181F48D5563833B5FCEE5173C812DCFF2AE7137261F319CB96CFB80D150D007A07ED5C886A874049D6105EB5F774DDEEFAD84F9B67408468C925E0B8D3544D0B315A19B3BB71EAF837C0029ADACC1CC09EF12CAAF60D86C96CBC49CEAA5DFDA7752BB1ED23714B85D0BC79872090F76ACDCAF53718B79E4F13866AA95261BE911096F5ED80E29579F3AF5FB3E4EFDF9239655EFFC0416D09111F3F376F2DD529ABD91D80DE64F0DEE88E31790F569010CA3D3640679707CADF9235F15EA163A8273BED7FDD34787C10FDF7AB216EFD37C37646CB47C76955598148F22E7645852050CE9B78BB7A2DBA8EEBAC8E532A6D7840D7F43F7DF4BF16A78D13010B3A6BF7F36E132BA9963F474F0A9CF69420D6595AF7EB4CDDDDAD88574132CEDF9F3812998341219D27A68544E9475C6AA6F9350A06D6AE15063E53 +ct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ct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ss = 2798DC47E7CE8E60B363CA03CFF8B45F2EA8A302D781EA9E441E7643D0446DAE + +count = 52 +seed = 5DE720F2D152BF4E1F96A61E7AE5F1BED6B8548E32638C2CCEC9F43B87D1BB43DFCF334F0582984D27E440D519AB662F +pk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sk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ct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ss = A9CC3793476808A1248911D3B0D7DCDB32CF92575AF827FF5E71DC9FDE6033AA + +count = 53 +seed = D71729DCBB27D7CB39E9E905025D3E55C8602EFBCC483C9B866EBF82326157833169243C14550AD728BD1470F39C642E +pk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sk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ct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sk = 6C8C53ED6F65E6B2E324B84364E10DE42D1C26A106D4D1C99EEE79C78586FB55B9402BF02481CE4B27A52E87FEB92C4399C7F2988D40E942E7496AD15AD2AA8841AC9E53A84C4F6E854A8394306D42019097AD9405F24E53BE449D3285650E59CE88CF4412468D1D1A4B922EACA855DBAFE948FCFCD35301CE1346AAB3017CA19A01C052FF6A697813F8347C16CB04F7CFC18E44B57E650E3BDE360985EBB10ACFCF4ACD17E9D569E525F05DF32CB882B4AF59A8FD754C90569F5557B47727C9A380BEFD94F2F98F3EF172681F808AC68CF2EAD954AE209E9320E6B228C98D7832BD8326FC49F3056B2AF74A4E01EFB8E131F845347D9CD6A623BBD1857E5721509BDD80DC83A6BE6C8ABF634B71D9DC92687CB8FF94ECF19276B82A1D12F1AB81BDDC361BFE65795F4ED2C31F202D9887B376B61D13BF8D17DB3B8B7AC839925BCB06CE63A030F7EA5556BCB9D2C624DE325577A4478E943C7BB658FD9B5B537B1B9C7CCD3DBD5C38585434CC60C44785AF06B5B660451DEA0DECB5857E26B471DD1960A7E052205D249A41CCB15A42894369EE608BA01C9082BD45206AADC172254AF6DA920BF0E72CF9C7A187CB1D1F19598F254D07277CE1CD319CF8F8B3605FA0BDDFF6400A7FB53524D990B4097252F3610CC34F374641E977304A7AFA008E2B3195656CD4C11D85D716A690FD989879565786D6DD44B61D4103CFE38DAAFCF14D5980BF98083D9CE534B93F6F55B5907EAB7A7D6725B14858C5F3B4D9C83EF4235D4967D28E7144BDA6534E7AB92F82A599AA127226FDE2AA4060A863E9FB46571C5626E79DC3842DB53DED492B990C55EB595788B7438CCAF5E1F87406E37614A3EE8B9891EE26BABBBFFFDC137B456C597D525A8E103B16C99C714D8D7C1244 +ct = D41AC91D649A14D23FA853835826FC8A981A530AB0BB19632002FC9546889FE643E05798391BA88B9AE3C8CB21855AA3520AD3ADCE9654ADB9082663A556224D340ABE5B7E767E3BFCB27FC21E68C90545EED0546383B524C89B94BBE322376A3C279C6ADD99F449ED6C88143239E73C0943C6FBFCF8568E3A5AA6AAB462CF6A113AFCCFD33E32B4CED79E5524E00DD1022EA3FFF99C7088E6FB9ED37D273FAEDFAF13A2F452534A19D90949A3A81C30048F8A2A113693D828AF222A07F5659B7129F728A212AF86719DD58AD41B0160BCDFA86864D40A743ED26E963A4C08A20D05858D08465C37F4B430D2649B168EFA0513B3FE9994AAB6DC8B24C941E5F99EC5AD47C4B8418CB4EFB0FBE8ADB10557B7E20C1397BBB4872B52F036FE18B3B5B086E51287F88A03D536B013129F53B3E96D65AF553E6BE0B2C1C8DA0AD850F24B724E30076A7B068303B5AE5248B0B006B5D5A705E5A18956CD6CABEB7DA46D66052D8078A566D7F617C63FC22B331F21C371415F424EDB0F307920F6FB9DB05D81FC2C55D4F3E75A5029EA05F9760B80122B9F6A73702DA53DFFF4359304E465294013562773893AA1AEDC0ECBDB680F673584CAC691621E5A10F76AB4CA02C2335B0984D644C422472F9341A71847BCC5616E6617797F6D8B2B685E308001EDD6FFFD7D3D3060EB83ED8830BAB5787871A0090B0382536853382C353018674AEB9FF2C05C53AE48CFDEE5AFD0BAF0F8AC80B9290F3C96154DB6CB079B8CD1C41D464E28C7A3B731B96F63E7BD76C191A960B79F5602B41C69BC88D2EBEBC8F6A2B586CFB1260BA982D17510884FA14A8D88 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sk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ct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ss = 8C5FA3CE335959851C3C06CAFD39CDB9E1848E8D4F72128FD9842AB5BF244F17 + +count = 56 +seed = 687C02DE1041ABAC7B2C1E6EC2A7C3375552ED5EDB10E3A8139C24CC76BDA44D719D8121A81D47A0B762B4E9EEB85235 +pk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sk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ct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ct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+sk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ct = 91E34F38716BB125C943A4F754B07D60AB701817329C1C95F9767B56E2565FB8DB657F4C168EDE33052B34823269EB3B2254ABA379FCD5937A062C845D5C812964AA509F76E477A2CAF20D8D8A65B5782441963720EBD714C701D103725D1A1D75ADD940C8B25CF1BB6B739B95F0F2AED761614D650F535403CB0A58F1A9434D06470F95BE068D9B81188322B17EC37C59D02E0F9EA4002E965BF2BD1E8C48984B8450F81670DC1AD8A9DE576AE39FFA2DBA342094BC14B990DDB76AA2C4B94EEF044D2D3228E79C200E24687743E5391BF6A3A464C3BD084AC32D3A2F84C9DD14F19B67C8784640F6E535582F3A65D7876AA3BDCE726B4B2145B595471FD9B857B063F993CD23D095C1214F67690AA9B4BD59BC31F923477423D169D19C7B998D39A29ABA6C4395FBACE4FEFF79950EA93E43F541920D05414034B14E75484F6696A2754088BB72E5F89303CE89E4B04DCB0AD2102ACC9C70F7D52FE057FC82C0F699CE7035B74533D8477F816D477C3120D30CF1078D54C8964364D14A6162E1E5D39C32501C96F26EC3F0DF80DDBD44DD5EEB16A28519FE3CAED37EE2ECBED6E8AC1E282CA8542D60905F141D757F00703E9FBCDBDB4E9239D309B28DEEAD7F8C69D32AE7CEED776E71FF9010D236CB9490BD701BFD96ABA59F1AE77A7B7C6B6839D1E296A962736ADF0E73A32A4F339EDB5C640243AA7EA6549B1E7A66929E42EE62DAF0828CB172F86CA5E5185656666606ECD313C1187100EF600AA3176BD6E9085BC4B32518E184459EF7DA266D46471CC7ACBECB3F0FEE8660FE4992BC61D5DB495913850B805CA15AE9D5211D3135EB 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+sk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ct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13BA81DE657B77787E2CA95BA07A62D47F2031374C794E0D48A4CE4BD4B90F5C5123A6740A8693E14AD506BCEEE50174C7E398EC04B47B7820C0EB43C254681B33DA5579878FE782295C5809942567027E6B300B60D5D4AD2EBBAB63D509821E364DBE3FFBBDA09EFABA2D7B841F69EA8BE96238E7AFA44C6A4B4B10811027E3EE74416D78C4F694B7FA64CE965910BAFC5769C517CB7E98843B20CB716ED6D87E06BC47F8D5ABBDD90C2EF911869DD9DAD5C2C86AD50A9EA0086E1E7ABE853ED2FD1F8247D8F6A7B8CE08A69803C8AA7F3509AC43488C442339F673BB287937928A02AE1194D236C173E479C4441BFB2C0E5DA64A658ED6770C87974341C2FD25F7277B6E174050DF7FBA5DA57266BF315AFEDBDD7381D90A29EC1C0BBCB7858F0CCFECCD9D2B4C6C032B74D11E99571A54F24D02F5760E506517203541146457FCD043B963A91239CB6783595C2FCF417CE31816B6AEB1460A98428C8340BC06A32DB0B72BE0E678125FA67FD1EB28F7FBF58499BF16671430E69B9F018C7508AD90BBF3F168235CE9EF8EA35F7AE21F605BE21415496F0EBBF179AF4915CAEEEC8AA334D2C173AD5512BC20704C42AB8FB99CA3D5239D74AD362C4A46B8B270F0980F8DA3F500D41F39D8BC984D5711AE7500156EBC375C6E269282423BDEC9AFDC4ACD7377E998E517A7E750E25A74592B57EFD614268FCB143553F7E72C21E5E655420838F62B1CA0FA0B6DEF783A7577BECD0C38DB4898868D8DAFC74CF331E25E0D243306F853A8DF112B371D905A8E12 +sk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ct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ss = BC6C4B7FB37F8074CED5D09537104E7D2F8A25020E28E13D63D86E9A5619C784 + +count = 61 +seed = C799D57B41F28C5C446DFC58A5AC6499C4BCF3C162AFD2B09A16549826EC2A6F689E44BAFC4ACC82F5D6AEC23F4A3993 +pk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sk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ct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ss = 54DF5956155EB8EC96F4BF24A1E85984B2376FB0CADC4A51DC5B15B78B91C7B9 + +count = 62 +seed = F7AE036A0176A9DE9A036A542DD2840033277C44AE936D10B768566216DE9D4395CD42B116873B69D9804BA6CCBC05D5 +pk = F482771DC2C9858AC8530CD028189A440EC72DDBA264D77E4E5E91D6B1324547BE51D8BDE2EA4FD968B01733BFD16F3150048D9E8B069B501AEAF267D0526F2060F02E9BD861A193D8E97DB3B3004B777C4250CFB47D4E028CF6A12CCC39DF207A7910D32E30B06AD15B4538632D25E18608250C3040BDC77C5F388C86C6E8616A15812A7BA3EC3D4BB72F2EF5448B410834837327D7699664893B633F0FE44329C99DE8E37CBF3B5150450093804F6BE1A234B34ED85E3BC1B906076FD9A2769A268D2A4537A9EB4DAAEC8CC92E9B2D9F100D440E6025C8CFDECD3C308B4047F942F64CE026E84AF864780F4977C01D9FA27B8D95B552F68335638CA3FA2701CF08D42E7DA7C36337CCEA9822834FCA2BE1D01D5111E7D20D0E6584102DCABB5C7D27ACDDEC151673C20EE1B0E7D610352C72CDF9591F0D224FCBDCA4E8DBE7FFEB7E7FCFBA3EFE706BB57E6750CD3F4A2C5373375153070F2DE972E2A83D9452FEFD23FD96F69C9C2F03E14DA3B7B7703FE97641440736D53895CC7B296082595CA7B7F2A4E2274C3C12ACEA860482D556AFD29509E6FC0326CB1A065F0BE1E64B3FBEAAFE63EF9CC159C29BEA02381729CE65FB16FFE5D666FC615BE67FB4661AB963F916763F9E543C6D488E964195AB0213701F3C78988D047EC444AA6859C22D24076C3964A5C4170F5AD3CC78881A1C6C31B39D3957BAD2ACE33D750546BBE6A498596DA101E09BAE00638421CAACF6D91303E5F87F2FE4EC049C2A481DF57BE64B74C72C286ADE8B9217BE19E5B00300 +sk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ct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ss = 1BEA35EECCA0EB3A88C2E9366E1AFE6E263921F4973F8A69E37E2ED15621FA92 + +count = 63 +seed = D995D38F934B6E1A7CA77C9522E3D037676CC939B0C8BD4B84394B3DC91A791F09D2D97199258C9943DA955E7F7B26FC +pk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sk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ct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ss = 0C77A265D4D025CF8A1234D18336AA4E635A7D5F52C058AEED0A100656D701B3 + +count = 64 +seed = 5929F02A271725CB40200DE32D9D03D8BEA53B53AC83186C42C7F565CCB1CA508305D470850CF86E9B2C61A5B8CA1C93 +pk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sk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ct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ss = 643DF928F7681C94AFC18C6CC19F2FA446FAF7D7F38111D42C4BB3EB3F09292E + +count = 65 +seed = 905074033D7B75DEB2D06A2F29144EB377B452534C5710632989F02D45312D156557E96D4486020826DB200153BC4A8B +pk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sk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ct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ss = E39C1892E0D8EBCA1E85DB794E65C5F5954FD6929E64FDCAE0E5B47EF2B46A5B + +count = 66 +seed = A3E2E511AFA7BB560446BDADF67D2EE2E16FFC7BAEAE7EFB8C5455068BBD4E91BF9BE9D98B280072FABA7712C75B26D4 +pk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ct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+sk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ct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+sk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ct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ct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+sk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ct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+sk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ct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sk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ct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+sk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ct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ss = 3BC6E89EB86810163951340118ED66AD0B8B84EA6021DF32384D9EE2ED438716 + +count = 74 +seed = DEB963F8B1D8FBDF499D564BA8D2D47915BB402DA02F17031B37B4039A842AFB9B7E48F37200605992BD2429427A7A4E +pk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sk = AE0F65E29F38804A6759F70F4D01E2AAFF7FE1C91EBC4F892DD0DE3AB2E68EA5E03FF73E02A217659F53D8C47556BF3D8C94040F630D63605E2D0F923579370C95E08D6CD768BFBCFEE1CB565A2CE80305951FFF0481D50C64B950DEBEC328FA03BC56160E337249E40085CA62463297285326C04CA1329498D9E8C64C285892431C0885426AC0072D19F6E0536FB458C4A7C8E78783DE18B2B023F86B8A9B654393F367CF7BA6CCB70853C6A811522E9DE23FD1AB771DE47AEDBA45FC5254BBFC6E8C3996CF07DF51B6859C8728252D0A0E8BEFCB50E70812B7151A45C5FACEF1192D587C104530C47123C7E3C2AC835CD84CD0B55F520C2A94A32892CCEF5F899C8CBA869D23215F278D0AC256BAF2712733EAC7C5AF7C3DA8A1763ECC1280A7BB8D7B753945A6C8C7C943AF6BCB59AA65330E2985587159836623FEB4F77D85455E6AD247877A37004C8A7771E1AF652A661309176F36B32375059C62828DF7734C1ED6C1CB6BE8537B583DB05137545F44B41DB305B32CE983CC06B7D6B0B7AE65B1434CE87CCFC4A6C1CECAFA4A01537BDC7232E42F5AEB256D2356F026826B0B196C409881DBDB2F5EC9708F23EEEA7D6D3F3626E960F9D155AE8071C2C9C5AF40EFF3F746DEA5B6AB572C74AFC35A025C303858428EFCE81190FBBF490C3F9A5119B6965D2E407782E8F56A04E6D5E59F3C04AC3DE8D9342E5F96D5BB5F83298FE9571355EB70F3774BF9BA98D0D76F8D702855F293AEAC144038D92BDA7E9555B9378E48DC890044615C51A03AA81CF22106D50A695CDB2F65A2FC57D131AE93296A6F743CE44DA901DF2441502066D28316B5620518D58460FD80E5768BDB56DED3DEA43783CD26B18BB774DEA9A627AA105C842D7AA36151419877C657E731 +ct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ss = 9C96C97D3032D9A7283A9F4488D291CC7484F8F6DCA8B17419B04DDBFD9A12E1 + +count = 75 +seed = 8E2995F1B3E43853B18916BB1212ACEB05898E2B177A87ABEB928AD7184E59695C56B2CCCF5DB80853C28A525E327D13 +pk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sk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ct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ss = 2193074EA86C6435F13AAF99E488F9CD34049D64EDE5A0DE7A84F5DB6474CF2D + +count = 76 +seed = 9218943C51FD2DE47E509AAC67EFF176795102F37D7A2017E3AFD768FCDA7877AF38739B00FCDF227C2FD62EB635942C +pk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sk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ct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ss = B22BAE3C5A03DB642A25672388E7735BF8E23AD6814CFA72F7B9E5F62614F7B4 + +count = 77 +seed = 542E20078ADD5296050AF150360F057F6B9AB3BA835589DD56987DE805F900B906505B5390A0D86CBA28038992DFC59A +pk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sk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ct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+sk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ct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ct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041704A36E4E207346FFB4A89B6E7B1FBD03AE2C3DC645B8C1F73CFC10F502AE18882E23954AF62F1F35142FCCA1D696475C88A5C31862ACA4456A64222E342411BB0444C2FC6FF92E4293DFB56CDADDB4195CD1C62911EB359C0534EA45951AE874CB7B31559F7695E373F7A9087896FB08661A7F39C152AF9EC00B8F301AF813907DFDF4F432668CD8E783F23120B791BD0559381BC9D9BDB0C1A71E6C9E6CF59FF7DF4ADA4DC30C3F20CBB2E3C2D6EAD6C8E91E845ED3AC953D130A5B1160413B27169EA6874A7F62F5D9CF365D628C959F8DCD42573E2A12661E14CC0FBB000A808520C2B89501D164E9583ED7524C5089849C541EAB673FA9748EF18A97F982C3921141E58E6977DCDB4F6DB5915EA40C911C33071C5352CE6D38320845477631199B2A8A2F675FAF2E107F1C7A6439C176393A02ACF530DF92708B2AB53A600D65117844DFD5D41486FA08C6F3FB644278186691CFDD4E0DB49A29B332E5230E9825CB09747E6F31DE5016CAC74CBAAC0121E52F35B0854A9C4C307DBD9449ACCF724E3DCC87B47F2D0BCEDFFB1325C4AB8BC90CB296E7346292B12A629043F9D59B87D90856A07B3817B1EAF928BB6D92B660FE5BDE103941F706FC31C6CA2A609886F4988D4161F3D6BB3BAF686CE44FF8117BA74A2279F251405FF9104591A9A2C0C9683A8B7665EA69A8C389413CF8686F7140C64C413C2AB761E19B3090AECDF14AFA78A461FB2E3D4E7E2A1AB49DBD043C63C0C3A0896AF485329B221251272A59DCD1B5E6921B7BF57629EF125F +sk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ct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ss = 8C46A9F4111F3A275FAFCE4FCF0BBCF828A0A9006D0A9C632F1B5B8E669D23C4 + +count = 82 +seed = 373FDDE922CFC416ED96B444E445BDD0962E8989F6C50ADF9912A89937C57217D3600B06C95440448E3F601AE69CA5BE +pk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sk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ct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ss = 60F62850F54096EF4D8AB44D5050086D48889FEF1D2523B2BAFF585D2E4BDACC + +count = 83 +seed = 16BEF67F7AC3A755C59C816478B75FCC16CE5844DB537791ACCD1EBD49D2824B105FD2E970F728C8F0CF16E439A9AE2F +pk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sk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ct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ss = 4EEA80450240413B5947E8CC918E91C4F1662655FBBBB2EEDBA9D802B76835F9 + +count = 84 +seed = D0611F9AE5BE4DA5D7EADC9109944348E716CB3DAEE545721EEA8C892E7831CF2E54603146454CBFD92387739E9A78D8 +pk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ct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ss = A6AA55F4F84ACE96FCCFD113B3B77E885748F05E84A0F8BB68B5B59AB3813116 + +count = 85 +seed = FBC38D7614D7718E931EDB850D2C6F0C5EEA9EE889B3E25BD69AC255D5B91E885D93E808E66BF9C88C655DC594DA5792 +pk = B07AB0A3019C122650F9943E8C119F20B439E27E835361555429F82F1EDE2260428A1B198DD686B0179DFFEC22CA9CE5C0425054F7D5C7C528D42420A1E31E32CA63B59F6C07FE4F2A439F745983F7B680BDAAC6F8D87D1B1F7AEDE97C6D7D4C60B2CCC554339A990B885C6DC7BC2E90944ECEDA3F74FD97CFAEC5E0118CC07884CF28DD0A0575487A8BA58E27B3CFEFB54AC34470AC154713896CF18F6153CF106D642C549986CDFB21C0244F8452722FC9BF157F876E0D4F3D3D149134609E8A9BFB3108FD3AFF286C288B1237667761631E66984A762634B66E33704EE7329CFA378BE7E0535CF7E8260F70A4EB841AB5AE252DD5E51C3E25E0A3DFB1778794B2076A1C7B33A5CF6001419440329A6FEDAD110E8CE3B20B06809B1A286B5B577793CDF09469A17441B17DCF0BF9D404BF425E327080BB94D1B39EB36BF7DAFD5BBDA1D19C12083E010D2DF159120902DA05C3CA9D6C0CFF7FBFD0E016AA3481A1E391BC2B5941283B5762818AD931A3200A86A1E13E4C5980D94AC647D43DF8D4B7BAD3DC777C2673218D959E2A3397D575BC5966B63063025F2E7F218ADAEE82DFEE66F1C66C717FBE5F7FD88B5797EE5D7427E46528A609D1D0A4BFCEBF7C0683F0790C748BA844EA7A50C2ADDA009B5DBCA46C5CD65DAE4DE0F9B4EFAAC3DB7A742668271900EF149164BE08D88B0F0C198B725CB58380AB32067D4C390156A1DADDD0DE051EB1CF58A752AE90DB0B7E6A3567FC3F88226D8F6E50DBA5D8F6C9700281DB88C35FBFE569CF1064F6974133 +sk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ct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ss = B51F055A645FAE20F634F62243B398358544C00F2E93DBF55FA69EA82C00B43A + +count = 86 +seed = 1722219CB5DB47374EB0AF0232C856A57F026F1CB09E5A5799F4C333DD422FF6A0A67C4DA502FAAE727FB2D45DAFCF35 +pk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sk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ct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ct = 51F8D0392B0FA79A4E6C4EDAE18B314D674C75CAF4760F69050F173435AFA6DF90FB0E7838F856FE410AE6525B5BB60044A38F8C75FA2B492EA3708DDE9692C5DC7FC611EA03D924AB7F17F204818AC959B2287D24386938F52D6F64754A139393D4A647B99AE47EB1C5E7CE0B845717805D8FF23FA0E0CE99D5EA9A68CB6CF2C7783B4F48A41376A8062EF236B792E25ECEEAA6403D7059F1B430B291CCBE41F69EF55DC6ABB325633E37F564E6105E4876ED0BCE2555B7AEEA4B6638B03B123D8C095E6E975DACCB1862EB5D930216EEB4B403B8227467A07E6F758D4547F7A0DE3971C0995DA579019CB0DCC10D4993EF4FE5C323B8220BB6969C212E6FABE72ABF76AD494D0324C535B75F260E4BCF16E53B5A59EDF5FB4117B8689F7401715A423D66CC8890D6BF7F433DE1E43E862B7CC4BD5D99D3F0A1E3E07694376AF7F6DB0AE29D1D917CAC7B74727867BFA60E5B18239AB4ACF9335540F0F916F3738B299DE39AEB573D58C4F573856108697A2CE32961602EBF638C13E7416046BD526A6710AFE5BEA5F1E3FCF10C31E14B11D6569661490FF1C48A41A2C1D428932E6A6B77F6F25165FDFBAC52D589B5E8CF323AF7062EEC2B445F96D52E6749D95C80C9A0DE0706CFC28D5A9167086931056AAF1544FF55B65D58AB35417A52782F6ED29547F83D87D6CBA07B242AB0D686DD61F218467F5507B38231ECFAAC2F49343E48FC3F999FAB5AB94F8DB246C3A8EC0E183504E717F8B157C8604BB1B9A994C7D05A3E930D06912AD02F422A7DFCC34990A494DCED1573C611B3F8B6B836A6C2C47FA0FF9BEA298BDE3A04CA0B129BF3 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ct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A50A1AA5A6C4E8A8940D4E0ABF7B16AB4AB0BCDC0476A6114601A28A62F66F1C38D940BC006215B2EF330E6055DC82B7EBDC95E46E22D842357D2FAAC11EB12567A1ABC32085D30640037FF1FE55B45EB9B62A69E0105F2ADB8DB76E2C44522FFD5796A7791E965EBFCF1A9D6A025E0AA466A03969BEBC4A0D824607DFE4B35192819658E482060B047EC9C79F337CE377FCFC84AF9C22C123D29512EC8ADA6E93B877FF34EFED992DACEBE70BC6963D81766664419C4572A6A4205AEE9DA4846E726C95E0CBFA3AA753BA9698A7921587D0452189EBECD916CFB4F7BB1C901CBF8936F0CC7C98E5623BA1E957B5AB974553B9ED43C5ACB9BC2F1294BB60D7589EED6C802BEF5A3F1C284D909BF48BEC78AE3E3A22663BB6EE2B2A05E94ADA30663D853B28561F8A66A3B5D364FA7C933D79E990375027B99F55D595894768779B8C7A030F7D031EF5214A11524BB94E7EFCFFF142AC499E0538744C68C34E425EED5D743D434416570630121F7C9442B1B7B4BF3D1385429791DC3A12D4E5752FA04CD015A277CE4833FB982BF82E1DC5960D7A0C19F84531F9A94A51BC95F64879CFF12897A36ACCA9A1070692D6CCBBFB60FD2BDF97ACF9D32014FCFA93E2B51ADBE6C707B155E7121C47D4D66B959F9176B42C5B6688A8ED0754C8D3356A2415196B5088B50D72E95F6E711BA62E2525067D35C3805D36DF38F979FB23284F23F2AACBC414F989E347A3BBC74DB43B9FDEE69734B8579958605E1BD4B43624232C6DEF2DC557AA0882B5DDE7CFC9E8DE8A52 +sk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ct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ct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ss = F0072B8ABE7D3C6B1686702E58B9C9F15D91B3765954B237D851F441E976A94E + +count = 91 +seed = C5856298C3CB6AC9787A0F30938537AB2635B96F6D19CC9522063360E7A5C88E644929D2879180E3E5BCAD2422B7CFC3 +pk = 607AA92125BAB18B13C592C954ED788DF1FB03F561C714E376E62F4A4ADB5D1D619222F965B1CEE2FC37F2AF1BEBFF35FFE88008AFC5129AC52855D786B64F1C9C7CC076D0A9151AEAF6A35B4817867C0C2B33CA4B4274CDAE1D1CF37C50520ACBE26BFF7986AEFCC8A14C193EA0473AEBC95B29CA3926A1D862ABBA6EBB52030FFEF7F8BEC751ECD4D14F417151821F822B7DC92C99C7BBB7159468306FC551C419CA8A0A072C8ADC6624E230704AC2005F9C378908A1B64912A3397B7683873D70B3FA7F3011BA79639FE0D4BC18E0917CC999DFFCE56C8408B03632D6C221AE5F07291E48F1F018C7E06AF7BF949F0962F478BD7B716685A3698D06BACDF834E8F9AB3F23707AC8CF6F99B225853366F140F9DD5E93082600BCCCCF46B2EF7C764D081E12FE7D822B902F54DED9C5FE76345C4E2E3C0FDE968F9CDC5E7A48486DD83B431A34E24FC360BFB3416C38F1393584D51BA7ACD85BBEF257D290A40B156C089C6A48E2F7589DADBDC11225DBB01CE1D1CCC06250BDE3E8C39212626A0E40943E1A08F4886FFCD546F7F32E2AF86AFC56CA71B4F4AC22E0031B5FF5D9DBF0122E609E7E267AB3C04E79D6898334ACE0F91AC6CC0D4778D116AB7BA200EB4DC2078564803AD09669EB237249D5A87A5F7E5A1CF15974D15D0BAE3D5DB06767EDCABA0BAAA52E2202B7142DDE5F11D9FC969FCC10915EB159FD1FE22172E0D59D9DDA1C453A1909F78C3C38654FD38542AD422C9D863F2DB470D3DAB2606971B25ED7487F1DAB68FCAF52D7E6BC30503C +sk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ct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ss = A70CA9CADC09966C85907688FA6AECC1C0AE83FF905770A34FC6E2B3F8287AB3 + +count = 92 +seed = A28EAD0A08E7228AEFF602B16A1E752278B8ED1E91DAC67994F5ADC372E1D82F95CC390CD97AB9212275E0566C833FD8 +pk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sk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ct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+sk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ct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sk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ct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FC37F83331A63916EC11797513CA32F0A6549012F07BEE7162C4A06352885C0F8A56F74745CCCE89E027C8466DEA7EDB747D8EF60FDFB90EAECBBDCF41D14EF9EA8C70FE436A85126735DC0277E0EC30E84D1844D930BA32BEB3EAA9122E327B5AEF76F277DC00AD148DE1072C6FD51F7CB68589893E97257390FD78FA65502A7F47C952DFFA97CA51B8406DD949C94EB133154A6029CCCBB3966F8271F61B06CAF6A446C66EB872503111AFCCCD966BDDE520E4B537619399FB2C10208936A201C0084341A2E505F0712BAB7683EB9A0E521A8F34BD16C2B11A5C0E12A5B49E038059E14A573B032E923E46C8A667845821F4B7AB1124C441FDE54F7F85B9E7322B3BD9590D09820E9670B94304330D6AFC31C70D35525A8E6BA0238376B04A2F245FB1D02A3A7DFAC6280706E049DA5ABF9F8C07ED31E5DBC9AB4C38D6954C206361722E63D2EC91DE02C3BE2454D36E214F3068F4C37172528EC610E7D5DCF6092456E289BC924CCB6ED489B45964E0F03524CE97F315B41BBFDB1F0916EF321C84D8AF4A9CEB6B5CD0D9369A616B12678FCBA937F805D06AEA6F46C6C7EE51068DBEF43D4CA27D3C68C514307898F5A20E509E8898F803384B5E11B99B8944BD1CD14154A02A4DFA89F7663ABF612B8E0DFADF2BF1ABF09F761620D73B079AF8C83772A675325640849341B389A0AEE65FAA87FE883759C50AF8699347CB0B6D9C69F82247FDD0EE2F5FF08D9309BBB8CDFEBD255AFE6866AF77D21C98B942370DE12462886C95271FF18CF274398329D022 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AC6FCFAEEEF795B6EF9E062F02BF42975FA01E7D91BA832F74E05269A72684D05AEDA108EA4D6C6BC0FB958286850422BC357CA67B83C986048E0D0087FA11EC67FDC3F209B930E1FEF9E3B9A0778802FC37F83331A63916EC11797513CA32F0A6549012F07BEE7162C4A06352885C0F8A56F74745CCCE89E027C8466DEA7EDB747D8EF60FDFB90EAECBBDCF41D14EF9EA8C70FE436A85126735DC0277E0EC30E84D1844D930BA32BEB3EAA9122E327B5AEF76F277DC00AD148DE1072C6FD51F7CB68589893E97257390FD78FA65502A7F47C952DFFA97CA51B8406DD949C94EB133154A6029CCCBB3966F8271F61B06CAF6A446C66EB872503111AFCCCD966BDDE520E4B537619399FB2C10208936A201C0084341A2E505F0712BAB7683EB9A0E521A8F34BD16C2B11A5C0E12A5B49E038059E14A573B032E923E46C8A667845821F4B7AB1124C441FDE54F7F85B9E7322B3BD9590D09820E9670B94304330D6AFC31C70D35525A8E6BA0238376B04A2F245FB1D02A3A7DFAC6280706E049DA5ABF9F8C07ED31E5DBC9AB4C38D6954C206361722E63D2EC91DE02C3BE2454D36E214F3068F4C37172528EC610E7D5DCF6092456E289BC924CCB6ED489B45964E0F03524CE97F315B41BBFDB1F0916EF321C84D8AF4A9CEB6B5CD0D9369A616B12678FCBA937F805D06AEA6F46C6C7EE51068DBEF43D4CA27D3C68C514307898F5A20E509E8898F803384B5E11B99B8944BD1CD14154A02A4DFA89F7663ABF612B8E0DFADF2BF1ABF09F761620D73B079AF8C83772A675325640849341B389A0AEE65FAA87FE883759C50AF8699347CB0B6D9C69F82247FDD0EE2F5FF08D9309BBB8CDFEBD255AFE6866AF77D21C98B942370DE12462886C95271FF18CF274398329D022 +ct = 121855DCA45A42006F934DE3E00D481373DEF60AC619166CC412777D7770CE1BF93B40C65B78C5470DCE4988DA3437839F5C550E7E04E90870C207BF1D2A4F681ABA1111CED2A3879B4E6B7CFC287625C585772DA5070DEC1192BFAD740D5B41E9C3379297D0BA852CBF06F93D8B664725900D5D1C29094D2750CAD10176B9316D5A979B60E6134EF31E9A8FA0AE1C0A71F0A8941D336ED3FD7422A26E981304FB71054663386AA8E71F1947C94087D6B8721F415198C03F8BAA0F6B65E7325CCE9CD6C8B95F8E5C2EA9521459D7448C6B9135BA06F62D06AF96189C0375DD03CAE6C71236A187573D8CAF453BF79C9718B3362F2BA5FE60EF9EA71F9940BF743E61041A1BEDC4A70C95B0F9A1C2E485D39C6E5C9D29F8B3892E32F2B7E2A23217645BCE131E8E5A38F5EF408CE3FE700AFDC99BF2823AD8B721CFB98BDC27096123EB2F1D82D75170B507FDCE783D1B03A153F83FFE0A6CBB6D542AD605E55E6764AF07EE249DD8CC760B4EE8D9EDCC6E9F0C9A701B5A207E1288597A78016F116F646564000B39291DE681DFE37C0CBD95628609AFCD3051F0114103E50341AA9AF9BBDC3171AB91966993D5B726AE81502D6FA0B101ECF2D4EA502325DFCEA3D80FCFA1AF2A39EF3D3C8946FB2ACE99C2731F252C9D07FCB75AB2381EFAF1AEA83A2C8AE3C70A55906C25C21F8A0E7D5128864721306F47F85BBE1DF83DB03BABF31B78DC50DA42FE60BD238D7815299198501FA6C67C865D4CC6D0164CAC1D245BAC2B165215777AF85832C8788252BDCE4A6B3FE2B7AD346F1149388CF9412174EE1700913C36DC7BB11DEF0112952D3D0C +ss = 6D33FE9327795188EF4404E03A913F58918AE8A29C34B28C9124B4689E2E63A7 + +count = 97 +seed = 59EFF60B1EF6185DB34EE1E3B1DD2F159106CECEAA79BEB74923B4F5623D5BC52DBF5D2594A1F7C6C64D12CF144E9ED4 +pk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sk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ct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ss = 864742A6F00FCB874217B6159D2090F8C7F45092337EEB3D9185C72429CDD5F5 + +count = 98 +seed = DDDCA9DC31BEA737D3F474E7560B37FACB2F53C803E768FFAADE7669FF94B1D4FBD17068CFFD5DFDD24AADADA4EF6B12 +pk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sk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ct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ss = 5CA7F1A531AA82BBF918A7C07F7F155D83E94EFBF4ED58EE7C0E89ED6C80F2C0 + +count = 99 +seed = 2A6F7386B815366F572AEB6C79E272CC21B7095FE09575F18072C9D677DA23BC9C8A4BC393B7524604D299BEDD260C8B +pk = EBAA29717EAAD6E420FE6D421DC5280A5EA3508170512C0AAD4031CC83D246FDA49AE5DE2E07323AB710FF7BF47BD9C1BDBC5E4D7C94B6739239B9015FD16020AB8384C2C942A0D17B215E95FD9C950B2B7FB65435E1ADD129F9429C7A286E3FD8185342D2AE2158B41C5B0CAFD9A690146F92831C9513961A722852E27722FC8DDD83A1E2AF83712E6467496AD1EB79530BD1C80E1307DBD588685C8958E619937EB5FC5DBDEF739476E4BC05C14FDCFF57A94304071138983A810194E4D2842CBB7615AA4A218E1FA13BFC9D96A73EFDF575410B5A95915DA9D5C4C60BFDFA5B0B027C256454FC4443E090E78B55698A23F8FF1719BEE5A6EB743B3F44D6616B2D89B585DF0FBBAEBAC66D5D360D0C35DBC5406C2386CD9E315DAECA8225B72FA4285D8E3FB28A98A04E1020B8283CFF3C1B68140D335511008EB356E29EC385B371EEF97F8DD4EA31F6CEE7739F8A52E32E5DC6BFA21D98A16BA339831DD85F6C7BD8285B9327FC076E5F1807CD8650D2B038EFE10F066BDE2E4A2A4F923F5DB975EE9C004DFEFBA1185B56C8E3CE45C89DC0178F111823D61CC5DEB69450B9B2B67B84EA05BA7D203A6894AD69BA3B967143B9CEF16786338ABFBA5EC3BAF87EFF76FA3BEA43E48BF22586D1F29378C15917A94E00789093444377566F50CF25E814291BB2DBE132FEDEAADD2DB16F9A8006BF755840613B805238645DBBB1C3F342FA31EC2F7F9821EEA1BC4D41202BCFF2183196002D3793315A6A1510157070149DF48AEF83E290040F8D9AE49EC31F03 +sk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ct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ss = 8ABCE489762C5BBC4C2326539BDA39B08CDE688D81EC4F75F11946550E603D57 + diff --git a/src/circl/dh/x25519/curve.go b/src/circl/dh/x25519/curve.go new file mode 100644 index 00000000000..af2ccc40a94 --- /dev/null +++ b/src/circl/dh/x25519/curve.go @@ -0,0 +1,96 @@ +package x25519 + +import ( + fp "circl/math/fp25519" +) + +// ladderJoye calculates a fixed-point multiplication with the generator point. +// The algorithm is the right-to-left Joye's ladder as described +// in "How to precompute a ladder" in SAC'2017. +func ladderJoye(k *Key) { + w := [5]fp.Elt{} // [mu,x1,z1,x2,z2] order must be preserved. + fp.SetOne(&w[1]) // x1 = 1 + fp.SetOne(&w[2]) // z1 = 1 + w[3] = fp.Elt{ // x2 = G-S + 0xbd, 0xaa, 0x2f, 0xc8, 0xfe, 0xe1, 0x94, 0x7e, + 0xf8, 0xed, 0xb2, 0x14, 0xae, 0x95, 0xf0, 0xbb, + 0xe2, 0x48, 0x5d, 0x23, 0xb9, 0xa0, 0xc7, 0xad, + 0x34, 0xab, 0x7c, 0xe2, 0xee, 0xcd, 0xae, 0x1e, + } + fp.SetOne(&w[4]) // z2 = 1 + + const n = 255 + const h = 3 + swap := uint(1) + for s := 0; s < n-h; s++ { + i := (s + h) / 8 + j := (s + h) % 8 + bit := uint((k[i] >> uint(j)) & 1) + copy(w[0][:], tableGenerator[s*Size:(s+1)*Size]) + diffAdd(&w, swap^bit) + swap = bit + } + for s := 0; s < h; s++ { + double(&w[1], &w[2]) + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +// ladderMontgomery calculates a generic scalar point multiplication +// The algorithm implemented is the left-to-right Montgomery's ladder. +func ladderMontgomery(k, xP *Key) { + w := [5]fp.Elt{} // [x1, x2, z2, x3, z3] order must be preserved. + w[0] = *(*fp.Elt)(xP) // x1 = xP + fp.SetOne(&w[1]) // x2 = 1 + w[3] = *(*fp.Elt)(xP) // x3 = xP + fp.SetOne(&w[4]) // z3 = 1 + + move := uint(0) + for s := 255 - 1; s >= 0; s-- { + i := s / 8 + j := s % 8 + bit := uint((k[i] >> uint(j)) & 1) + ladderStep(&w, move^bit) + move = bit + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +func toAffine(k *[fp.Size]byte, x, z *fp.Elt) { + fp.Inv(z, z) + fp.Mul(x, x, z) + _ = fp.ToBytes(k[:], x) +} + +var lowOrderPoints = [5]fp.Elt{ + { /* (0,_,1) point of order 2 on Curve25519 */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (1,_,1) point of order 4 on Curve25519 */ + 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (x,_,1) first point of order 8 on Curve25519 */ + 0xe0, 0xeb, 0x7a, 0x7c, 0x3b, 0x41, 0xb8, 0xae, + 0x16, 0x56, 0xe3, 0xfa, 0xf1, 0x9f, 0xc4, 0x6a, + 0xda, 0x09, 0x8d, 0xeb, 0x9c, 0x32, 0xb1, 0xfd, + 0x86, 0x62, 0x05, 0x16, 0x5f, 0x49, 0xb8, 0x00, + }, + { /* (x,_,1) second point of order 8 on Curve25519 */ + 0x5f, 0x9c, 0x95, 0xbc, 0xa3, 0x50, 0x8c, 0x24, + 0xb1, 0xd0, 0xb1, 0x55, 0x9c, 0x83, 0xef, 0x5b, + 0x04, 0x44, 0x5c, 0xc4, 0x58, 0x1c, 0x8e, 0x86, + 0xd8, 0x22, 0x4e, 0xdd, 0xd0, 0x9f, 0x11, 0x57, + }, + { /* (-1,_,1) a point of order 4 on the twist of Curve25519 */ + 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + }, +} diff --git a/src/circl/dh/x25519/curve_amd64.go b/src/circl/dh/x25519/curve_amd64.go new file mode 100644 index 00000000000..46711e0648d --- /dev/null +++ b/src/circl/dh/x25519/curve_amd64.go @@ -0,0 +1,30 @@ +// +build amd64,!purego + +package x25519 + +import ( + "internal/cpu" + + fp "circl/math/fp25519" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func double(x, z *fp.Elt) { doubleAmd64(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddAmd64(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepAmd64(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Amd64(z, x) } + +//go:noescape +func ladderStepAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func diffAddAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func doubleAmd64(x, z *fp.Elt) + +//go:noescape +func mulA24Amd64(z, x *fp.Elt) diff --git a/src/circl/dh/x25519/curve_amd64.h b/src/circl/dh/x25519/curve_amd64.h new file mode 100644 index 00000000000..8c1ae4d0fbb --- /dev/null +++ b/src/circl/dh/x25519/curve_amd64.h @@ -0,0 +1,111 @@ +#define ladderStepLeg \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulLeg(b0,x2,z3) \ + integerMulLeg(b1,x3,z2) \ + reduceFromDoubleLeg(t0,b0) \ + reduceFromDoubleLeg(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrLeg(b0,t0) \ + integerSqrLeg(b1,t1) \ + reduceFromDoubleLeg(x3,b0) \ + reduceFromDoubleLeg(z3,b1) \ + integerMulLeg(b0,x1,z3) \ + reduceFromDoubleLeg(z3,b0) \ + integerSqrLeg(b0,x2) \ + integerSqrLeg(b1,z2) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z2) \ + integerMulLeg(b0,x2,z2) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) + +#define ladderStepBmi2Adx \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulAdx(b0,x2,z3) \ + integerMulAdx(b1,x3,z2) \ + reduceFromDoubleAdx(t0,b0) \ + reduceFromDoubleAdx(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrAdx(b0,t0) \ + integerSqrAdx(b1,t1) \ + reduceFromDoubleAdx(x3,b0) \ + reduceFromDoubleAdx(z3,b1) \ + integerMulAdx(b0,x1,z3) \ + reduceFromDoubleAdx(z3,b0) \ + integerSqrAdx(b0,x2) \ + integerSqrAdx(b1,z2) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z2) \ + integerMulAdx(b0,x2,z2) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) + +#define difAddLeg \ + addSub(x1,z1) \ + integerMulLeg(b0,z1,ui) \ + reduceFromDoubleLeg(z1,b0) \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + integerMulLeg(b0,x1,z2) \ + integerMulLeg(b1,z1,x2) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define difAddBmi2Adx \ + addSub(x1,z1) \ + integerMulAdx(b0,z1,ui) \ + reduceFromDoubleAdx(z1,b0) \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + integerMulAdx(b0,x1,z2) \ + integerMulAdx(b1,z1,x2) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) + +#define doubleLeg \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z1) \ + integerMulLeg(b0,x1,z1) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define doubleBmi2Adx \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z1) \ + integerMulAdx(b0,x1,z1) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) diff --git a/src/circl/dh/x25519/curve_amd64.s b/src/circl/dh/x25519/curve_amd64.s new file mode 100644 index 00000000000..b7723185b61 --- /dev/null +++ b/src/circl/dh/x25519/curve_amd64.s @@ -0,0 +1,156 @@ +// +build amd64 + +#include "textflag.h" + +// Depends on circl/math/fp25519 package +#include "../../math/fp25519/fp_amd64.h" +#include "curve_amd64.h" + +// CTE_A24 is (A+2)/4 from Curve25519 +#define CTE_A24 121666 + +#define Size 32 + +// multiplyA24Leg multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R13, FLAGS +// Instr: x86_64, cmov +#define multiplyA24Leg(z,x) \ + MOVL $CTE_A24, AX; MULQ 0+x; MOVQ AX, R8; MOVQ DX, R9; \ + MOVL $CTE_A24, AX; MULQ 8+x; MOVQ AX, R12; MOVQ DX, R10; \ + MOVL $CTE_A24, AX; MULQ 16+x; MOVQ AX, R13; MOVQ DX, R11; \ + MOVL $CTE_A24, AX; MULQ 24+x; \ + ADDQ R12, R9; \ + ADCQ R13, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + MOVL $38, AX; /* 2*C = 38 = 2^256 MOD 2^255-19*/ \ + IMULQ AX, DX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ $0, R11; MOVQ R11, 24+z; \ + MOVQ $0, DX; \ + CMOVQCS AX, DX; \ + ADDQ DX, R8; MOVQ R8, 0+z; + +// multiplyA24Adx multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R12, FLAGS +// Instr: x86_64, cmov, bmi2 +#define multiplyA24Adx(z,x) \ + MOVQ $CTE_A24, DX; \ + MULXQ 0+x, R8, R10; \ + MULXQ 8+x, R9, R11; ADDQ R10, R9; \ + MULXQ 16+x, R10, AX; ADCQ R11, R10; \ + MULXQ 24+x, R11, R12; ADCQ AX, R11; \ + ;;;;;;;;;;;;;;;;;;;;; ADCQ $0, R12; \ + MOVL $38, DX; /* 2*C = 38 = 2^256 MOD 2^255-19*/ \ + IMULQ DX, R12; \ + ADDQ R12, R8; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ $0, R11; MOVQ R11, 24+z; \ + MOVQ $0, R12; \ + CMOVQCS DX, R12; \ + ADDQ R12, R8; MOVQ R8, 0+z; + +#define mulA24Legacy \ + multiplyA24Leg(0(DI),0(SI)) +#define mulA24Bmi2Adx \ + multiplyA24Adx(0(DI),0(SI)) + +// func mulA24Amd64(z, x *fp255.Elt) +TEXT ·mulA24Amd64(SB),NOSPLIT,$0-16 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + CHECK_BMI2ADX(LMA24, mulA24Legacy, mulA24Bmi2Adx) + + +// func ladderStepAmd64(w *[5]fp255.Elt, b uint) +// ladderStepAmd64 calculates a point addition and doubling as follows: +// (x2,z2) = 2*(x2,z2) and (x3,z3) = (x2,z2)+(x3,z3) using as a difference (x1,-). +// work = (x1,x2,z2,x3,z3) are five fp255.Elt of 32 bytes. +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·ladderStepAmd64(SB),NOSPLIT,$192-16 + // Parameters + #define regWork DI + #define regMove SI + #define x1 0*Size(regWork) + #define x2 1*Size(regWork) + #define z2 2*Size(regWork) + #define x3 3*Size(regWork) + #define z3 4*Size(regWork) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regMove + CHECK_BMI2ADX(LLADSTEP, ladderStepLeg, ladderStepBmi2Adx) + #undef regWork + #undef regMove + #undef x1 + #undef x2 + #undef z2 + #undef x3 + #undef z3 + #undef t0 + #undef t1 + #undef b0 + #undef b1 + +// func diffAddAmd64(w *[5]fp255.Elt, b uint) +// diffAddAmd64 calculates a differential point addition using a precomputed point. +// (x1,z1) = (x1,z1)+(mu) using a difference point (x2,z2) +// w = (mu,x1,z1,x2,z2) are five fp.Elt, and +// stack = (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·diffAddAmd64(SB),NOSPLIT,$128-16 + // Parameters + #define regWork DI + #define regSwap SI + #define ui 0*Size(regWork) + #define x1 1*Size(regWork) + #define z1 2*Size(regWork) + #define x2 3*Size(regWork) + #define z2 4*Size(regWork) + // Local variables + #define b0 0*Size(SP) + #define b1 2*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regSwap + cswap(x1,x2,regSwap) + cswap(z1,z2,regSwap) + CHECK_BMI2ADX(LDIFADD, difAddLeg, difAddBmi2Adx) + #undef regWork + #undef regSwap + #undef ui + #undef x1 + #undef z1 + #undef x2 + #undef z2 + #undef b0 + #undef b1 + +// func doubleAmd64(x, z *fp255.Elt) +// doubleAmd64 calculates a point doubling (x1,z1) = 2*(x1,z1). +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·doubleAmd64(SB),NOSPLIT,$192-16 + // Parameters + #define x1 0(DI) + #define z1 0(SI) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ x+0(FP), DI + MOVQ z+8(FP), SI + CHECK_BMI2ADX(LDOUB,doubleLeg,doubleBmi2Adx) + #undef x1 + #undef z1 + #undef t0 + #undef t1 + #undef b0 + #undef b1 diff --git a/src/circl/dh/x25519/curve_generic.go b/src/circl/dh/x25519/curve_generic.go new file mode 100644 index 00000000000..2d59187f9e2 --- /dev/null +++ b/src/circl/dh/x25519/curve_generic.go @@ -0,0 +1,85 @@ +package x25519 + +import ( + "encoding/binary" + "math/bits" + + fp "circl/math/fp25519" +) + +func doubleGeneric(x, z *fp.Elt) { + t0, t1 := &fp.Elt{}, &fp.Elt{} + fp.AddSub(x, z) + fp.Sqr(x, x) + fp.Sqr(z, z) + fp.Sub(t0, x, z) + mulA24Generic(t1, t0) + fp.Add(t1, t1, z) + fp.Mul(x, x, z) + fp.Mul(z, t0, t1) +} + +func diffAddGeneric(w *[5]fp.Elt, b uint) { + mu, x1, z1, x2, z2 := &w[0], &w[1], &w[2], &w[3], &w[4] + fp.Cswap(x1, x2, b) + fp.Cswap(z1, z2, b) + fp.AddSub(x1, z1) + fp.Mul(z1, z1, mu) + fp.AddSub(x1, z1) + fp.Sqr(x1, x1) + fp.Sqr(z1, z1) + fp.Mul(x1, x1, z2) + fp.Mul(z1, z1, x2) +} + +func ladderStepGeneric(w *[5]fp.Elt, b uint) { + x1, x2, z2, x3, z3 := &w[0], &w[1], &w[2], &w[3], &w[4] + t0 := &fp.Elt{} + t1 := &fp.Elt{} + fp.AddSub(x2, z2) + fp.AddSub(x3, z3) + fp.Mul(t0, x2, z3) + fp.Mul(t1, x3, z2) + fp.AddSub(t0, t1) + fp.Cmov(x2, x3, b) + fp.Cmov(z2, z3, b) + fp.Sqr(x3, t0) + fp.Sqr(z3, t1) + fp.Mul(z3, x1, z3) + fp.Sqr(x2, x2) + fp.Sqr(z2, z2) + fp.Sub(t0, x2, z2) + mulA24Generic(t1, t0) + fp.Add(t1, t1, z2) + fp.Mul(x2, x2, z2) + fp.Mul(z2, t0, t1) +} + +func mulA24Generic(z, x *fp.Elt) { + const A24 = 121666 + const n = 8 + var xx [4]uint64 + for i := range xx { + xx[i] = binary.LittleEndian.Uint64(x[i*n : (i+1)*n]) + } + + h0, l0 := bits.Mul64(xx[0], A24) + h1, l1 := bits.Mul64(xx[1], A24) + h2, l2 := bits.Mul64(xx[2], A24) + h3, l3 := bits.Mul64(xx[3], A24) + + var c3 uint64 + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + _, l4 = bits.Mul64(l4, 38) + l0, c0 = bits.Add64(l0, l4, 0) + xx[1], c1 = bits.Add64(l1, 0, c0) + xx[2], c2 = bits.Add64(l2, 0, c1) + xx[3], c3 = bits.Add64(l3, 0, c2) + xx[0], _ = bits.Add64(l0, (-c3)&38, 0) + for i := range xx { + binary.LittleEndian.PutUint64(z[i*n:(i+1)*n], xx[i]) + } +} diff --git a/src/circl/dh/x25519/curve_noasm.go b/src/circl/dh/x25519/curve_noasm.go new file mode 100644 index 00000000000..67349cf935a --- /dev/null +++ b/src/circl/dh/x25519/curve_noasm.go @@ -0,0 +1,10 @@ +// +build !amd64 purego + +package x25519 + +import fp "circl/math/fp25519" + +func double(x, z *fp.Elt) { doubleGeneric(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddGeneric(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepGeneric(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Generic(z, x) } diff --git a/src/circl/dh/x25519/curve_test.go b/src/circl/dh/x25519/curve_test.go new file mode 100644 index 00000000000..d3381b7e7e5 --- /dev/null +++ b/src/circl/dh/x25519/curve_test.go @@ -0,0 +1,206 @@ +package x25519 + +import ( + "crypto/rand" + "math/big" + "testing" + + "circl/internal/conv" + "circl/internal/test" + fp "circl/math/fp25519" +) + +func getModulus() *big.Int { + p := big.NewInt(1) + p.Lsh(p, 255).Sub(p, big.NewInt(19)) + return p +} + +func doubleBig(x1, z1, p *big.Int) { + // Montgomery point doubling in projective (X:Z) coordinates. + A24 := big.NewInt(121666) + A, B, C := big.NewInt(0), big.NewInt(0), big.NewInt(0) + A.Add(x1, z1).Mod(A, p) + B.Sub(x1, z1).Mod(B, p) + A.Mul(A, A) + B.Mul(B, B) + C.Sub(A, B) + x1.Mul(A, B).Mod(x1, p) + z1.Mul(C, A24).Add(z1, B).Mul(z1, C).Mod(z1, p) +} + +func diffAddBig(work [5]*big.Int, p *big.Int, b uint) { + // Equation 7 at https://eprint.iacr.org/2017/264 + mu, x1, z1, x2, z2 := work[0], work[1], work[2], work[3], work[4] + A, B := big.NewInt(0), big.NewInt(0) + if b != 0 { + t := new(big.Int) + t.Set(x1) + x1.Set(x2) + x2.Set(t) + t.Set(z1) + z1.Set(z2) + z2.Set(t) + } + A.Add(x1, z1) + B.Sub(x1, z1) + B.Mul(B, mu).Mod(B, p) + x1.Add(A, B).Mod(x1, p) + z1.Sub(A, B).Mod(z1, p) + x1.Mul(x1, x1).Mul(x1, z2).Mod(x1, p) + z1.Mul(z1, z1).Mul(z1, x2).Mod(z1, p) + mu.Mod(mu, p) + x2.Mod(x2, p) + z2.Mod(z2, p) +} + +func ladderStepBig(work [5]*big.Int, p *big.Int, b uint) { + A24 := big.NewInt(121666) + x1 := work[0] + x2, z2 := work[1], work[2] + x3, z3 := work[3], work[4] + A, B, C, D := big.NewInt(0), big.NewInt(0), big.NewInt(0), big.NewInt(0) + DA, CB, E := big.NewInt(0), big.NewInt(0), big.NewInt(0) + A.Add(x2, z2).Mod(A, p) + B.Sub(x2, z2).Mod(B, p) + C.Add(x3, z3).Mod(C, p) + D.Sub(x3, z3).Mod(D, p) + DA.Mul(D, A).Mod(DA, p) + CB.Mul(C, B).Mod(CB, p) + if b != 0 { + t := new(big.Int) + t.Set(A) + A.Set(C) + C.Set(t) + t.Set(B) + B.Set(D) + D.Set(t) + } + AA := A.Mul(A, A).Mod(A, p) + BB := B.Mul(B, B).Mod(B, p) + E.Sub(AA, BB) + x1.Mod(x1, p) + x2.Mul(AA, BB).Mod(x2, p) + z2.Mul(E, A24).Add(z2, BB).Mul(z2, E).Mod(z2, p) + x3.Add(DA, CB) + z3.Sub(DA, CB) + x3.Mul(x3, x3).Mod(x3, p) + z3.Mul(z3, z3).Mul(z3, x1).Mod(z3, p) +} + +func testMulA24(t *testing.T, f func(z, x *fp.Elt)) { + const numTests = 1 << 9 + var x, z fp.Elt + p := getModulus() + A24 := big.NewInt(121666) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + bigX := conv.BytesLe2BigInt(x[:]) + f(&z, &x) + got := conv.BytesLe2BigInt(z[:]) + got.Mod(got, p) + + want := bigX.Mul(bigX, A24).Mod(bigX, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func testDouble(t *testing.T, f func(x, z *fp.Elt)) { + const numTests = 1 << 9 + var x, z fp.Elt + p := getModulus() + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(z[:]) + + bigX := conv.BytesLe2BigInt(x[:]) + bigZ := conv.BytesLe2BigInt(z[:]) + f(&x, &z) + got0 := conv.BytesLe2BigInt(x[:]) + got1 := conv.BytesLe2BigInt(z[:]) + got0.Mod(got0, p) + got1.Mod(got1, p) + + doubleBig(bigX, bigZ, p) + want0 := bigX + want1 := bigZ + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, z) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, z) + } + } +} + +func testDiffAdd(t *testing.T, f func(w *[5]fp.Elt, b uint)) { + const numTests = 1 << 9 + p := getModulus() + var w [5]fp.Elt + bigWork := [5]*big.Int{} + for i := 0; i < numTests; i++ { + for j := range w { + _, _ = rand.Read(w[j][:]) + bigWork[j] = conv.BytesLe2BigInt(w[j][:]) + } + b := uint(w[0][0] & 1) + + f(&w, b) + + diffAddBig(bigWork, p, b) + + for j := range w { + got := conv.BytesLe2BigInt(w[j][:]) + got.Mod(got, p) + want := bigWork[j] + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, w, b) + } + } + } +} + +func testLadderStep(t *testing.T, f func(w *[5]fp.Elt, b uint)) { + const numTests = 1 << 9 + var w [5]fp.Elt + bigWork := [5]*big.Int{} + p := getModulus() + for i := 0; i < numTests; i++ { + for j := range w { + _, _ = rand.Read(w[j][:]) + bigWork[j] = conv.BytesLe2BigInt(w[j][:]) + } + b := uint(w[0][0] & 1) + + f(&w, b) + + ladderStepBig(bigWork, p, b) + + for j := range bigWork { + got := conv.BytesLe2BigInt(w[j][:]) + got.Mod(got, p) + want := bigWork[j] + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, w, b) + } + } + } +} + +func TestGeneric(t *testing.T) { + t.Run("Double", func(t *testing.T) { testDouble(t, doubleGeneric) }) + t.Run("DiffAdd", func(t *testing.T) { testDiffAdd(t, diffAddGeneric) }) + t.Run("LadderStep", func(t *testing.T) { testLadderStep(t, ladderStepGeneric) }) + t.Run("MulA24", func(t *testing.T) { testMulA24(t, mulA24Generic) }) +} + +func TestNative(t *testing.T) { + t.Run("Double", func(t *testing.T) { testDouble(t, double) }) + t.Run("DiffAdd", func(t *testing.T) { testDiffAdd(t, diffAdd) }) + t.Run("LadderStep", func(t *testing.T) { testLadderStep(t, ladderStep) }) + t.Run("MulA24", func(t *testing.T) { testMulA24(t, mulA24) }) +} diff --git a/src/circl/dh/x25519/doc.go b/src/circl/dh/x25519/doc.go new file mode 100644 index 00000000000..e8feed56947 --- /dev/null +++ b/src/circl/dh/x25519/doc.go @@ -0,0 +1,20 @@ +/* +Package x25519 provides Diffie-Hellman functions as specified in RFC-7748. + +Validation of public keys. + +The Diffie-Hellman function, as described in RFC-7748 [1], works for any +public key. However, if a different protocol requires contributory +behaviour [2,3], then the public keys must be validated against low-order +points [3,4]. To do that, the Shared function performs this validation +internally and returns false when the public key is invalid (i.e., it +is a low-order point). + +References: + - [1] RFC7748 by Langley, Hamburg, Turner (https://rfc-editor.org/rfc/rfc7748.txt) + - [2] Curve25519 by Bernstein (https://cr.yp.to/ecdh.html) + - [3] Bernstein (https://cr.yp.to/ecdh.html#validate) + - [4] Cremers&Jackson (https://eprint.iacr.org/2019/526) + +*/ +package x25519 diff --git a/src/circl/dh/x25519/key.go b/src/circl/dh/x25519/key.go new file mode 100644 index 00000000000..35573e469ef --- /dev/null +++ b/src/circl/dh/x25519/key.go @@ -0,0 +1,47 @@ +package x25519 + +import ( + "crypto/subtle" + + fp "circl/math/fp25519" +) + +// Size is the length in bytes of a X25519 key. +const Size = 32 + +// Key represents a X25519 key. +type Key [Size]byte + +func (k *Key) clamp(in *Key) *Key { + *k = *in + k[0] &= 248 + k[31] = (k[31] & 127) | 64 + return k +} + +// isValidPubKey verifies if the public key is not a low-order point. +func (k *Key) isValidPubKey() bool { + fp.Modp((*fp.Elt)(k)) + isLowOrder := false + for _, P := range lowOrderPoints { + isLowOrder = isLowOrder || subtle.ConstantTimeCompare(P[:], k[:]) != 0 + } + return !isLowOrder +} + +// KeyGen obtains a public key given a secret key. +func KeyGen(public, secret *Key) { + ladderJoye(public.clamp(secret)) +} + +// Shared calculates Alice's shared key from Alice's secret key and Bob's +// public key returning true on success. A failure case happens when the public +// key is a low-order point, thus the shared key is all-zeros and the function +// returns false. +func Shared(shared, secret, public *Key) bool { + validPk := *public + validPk[31] &= (1 << (255 % 8)) - 1 + ok := validPk.isValidPubKey() + ladderMontgomery(shared.clamp(secret), &validPk) + return ok +} diff --git a/src/circl/dh/x25519/key_test.go b/src/circl/dh/x25519/key_test.go new file mode 100644 index 00000000000..a254a85b81d --- /dev/null +++ b/src/circl/dh/x25519/key_test.go @@ -0,0 +1,199 @@ +package x25519 + +import ( + "crypto/rand" + "encoding/hex" + "encoding/json" + "flag" + "fmt" + "io" + "io/ioutil" + "os" + "testing" + + "circl/internal/test" +) + +func hexStr2Key(k *Key, s string) { + b, err := hex.DecodeString(s) + if err != nil { + panic("Can't convert string to key") + } + copy(k[:], b) +} + +// Indicates whether long tests should be run +var runLongTest = flag.Bool("long", false, "runs longer tests") + +type katVector struct { + Public string `json:"input"` + Shared string `json:"output"` + Private string `json:"scalar"` +} + +func TestRFC7748Kat(t *testing.T) { + const nameFile = "testdata/rfc7748_kat_test.json" + var kat []katVector + + jsonFile, err := os.Open(nameFile) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", nameFile, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + + err = json.Unmarshal(input, &kat) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", nameFile, err) + } + + var priv, pub, got, want Key + for _, v := range kat { + hexStr2Key(&pub, v.Public) + hexStr2Key(&priv, v.Private) + Shared(&got, &priv, &pub) + hexStr2Key(&want, v.Shared) + if got != want { + test.ReportError(t, got, want, v) + } + } +} + +type katTimes struct { + Times uint32 `json:"times"` + Key string `json:"key"` +} + +func TestRFC7748Times(t *testing.T) { + const nameFile = "testdata/rfc7748_times_test.json" + jsonFile, err := os.Open(nameFile) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", nameFile, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + + var kat []katTimes + err = json.Unmarshal(input, &kat) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", nameFile, err) + } + + var got, want Key + for _, v := range kat { + if !*runLongTest && v.Times == uint32(1000000) { + t.Log("Skipped one long test, add -long flag to run longer tests") + continue + } + u := Key{9} + k := u + r := u + for i := uint32(0); i < v.Times; i++ { + Shared(&r, &k, &u) + u = k + k = r + } + got = k + hexStr2Key(&want, v.Key) + + if got != want { + test.ReportError(t, got, want, v.Times) + } + } +} + +func TestBase(t *testing.T) { + testTimes := 1 << 10 + var got, want, secret Key + gen := Key{9} + for i := 0; i < testTimes; i++ { + _, _ = io.ReadFull(rand.Reader, secret[:]) + KeyGen(&got, &secret) + Shared(&want, &secret, &gen) + if got != want { + test.ReportError(t, got, want, secret) + } + } +} + +func TestWycheproof(t *testing.T) { + // Test vectors from Wycheproof v0.4.12 + const nameFile = "testdata/wycheproof_kat.json" + jsonFile, err := os.Open(nameFile) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", nameFile, err) + } + defer jsonFile.Close() + + input, _ := ioutil.ReadAll(jsonFile) + var vecRaw []struct { + TcID int `json:"tcId"` + Comment string `json:"comment"` + Curve string `json:"curve"` + Public string `json:"public"` + Private string `json:"private"` + Shared string `json:"shared"` + Result string `json:"result"` + Flags []string `json:"flags"` + } + + err = json.Unmarshal(input, &vecRaw) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", nameFile, err) + } + var got, want, priv, pub Key + for _, v := range vecRaw { + hexStr2Key(&pub, v.Public) + hexStr2Key(&priv, v.Private) + hexStr2Key(&want, v.Shared) + ok := Shared(&got, &priv, &pub) + if got != want { + test.ReportError(t, got, want, v.TcID, priv, pub) + } + if !ok && v.Result != "acceptable" { + test.ReportError(t, got, want, v.TcID, priv, pub) + } + } +} + +func BenchmarkX25519(b *testing.B) { + var x, y, z Key + + _, _ = io.ReadFull(rand.Reader, x[:]) + _, _ = io.ReadFull(rand.Reader, y[:]) + _, _ = io.ReadFull(rand.Reader, z[:]) + + b.Run("KeyGen", func(b *testing.B) { + for i := 0; i < b.N; i++ { + KeyGen(&x, &y) + } + }) + b.Run("Shared", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Shared(&z, &x, &y) + } + }) +} + +func Example_x25519() { + var AliceSecret, BobSecret, + AlicePublic, BobPublic, + AliceShared, BobShared Key + + // Generating Alice's secret and public keys + _, _ = io.ReadFull(rand.Reader, AliceSecret[:]) + KeyGen(&AlicePublic, &AliceSecret) + + // Generating Bob's secret and public keys + _, _ = io.ReadFull(rand.Reader, BobSecret[:]) + KeyGen(&BobPublic, &BobSecret) + + // Deriving Alice's shared key + okA := Shared(&AliceShared, &AliceSecret, &BobPublic) + + // Deriving Bob's shared key + okB := Shared(&BobShared, &BobSecret, &AlicePublic) + + fmt.Println(AliceShared == BobShared && okA && okB) + // Output: true +} diff --git a/src/circl/dh/x25519/table.go b/src/circl/dh/x25519/table.go new file mode 100644 index 00000000000..34c4552dc3d --- /dev/null +++ b/src/circl/dh/x25519/table.go @@ -0,0 +1,266 @@ +package x25519 + +import "circl/math/fp25519" + +// tableGenerator contains the set of points: +// t[i] = (xi+1)/(xi-1), +// where (xi,yi) = 2^iG and G is the generator point +// Size = (256)*(256/8) = 8192 bytes. +var tableGenerator = [256 * fp25519.Size]byte{ + /* (2^ 0)P */ 0xf3, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x5f, + /* (2^ 1)P */ 0x96, 0xfe, 0xaa, 0x16, 0xf4, 0x20, 0x82, 0x6b, 0x34, 0x6a, 0x56, 0x4f, 0x2b, 0xeb, 0xeb, 0x82, 0x0f, 0x95, 0xa5, 0x75, 0xb0, 0xa5, 0xa9, 0xd5, 0xf4, 0x88, 0x24, 0x4b, 0xcf, 0xb2, 0x42, 0x51, + /* (2^ 2)P */ 0x0c, 0x68, 0x69, 0x00, 0x75, 0xbc, 0xae, 0x6a, 0x41, 0x9c, 0xf9, 0xa0, 0x20, 0x78, 0xcf, 0x89, 0xf4, 0xd0, 0x56, 0x3b, 0x18, 0xd9, 0x58, 0x2a, 0xa4, 0x11, 0x60, 0xe3, 0x80, 0xca, 0x5a, 0x4b, + /* (2^ 3)P */ 0x5d, 0x74, 0x29, 0x8c, 0x34, 0x32, 0x91, 0x32, 0xd7, 0x2f, 0x64, 0xe1, 0x16, 0xe6, 0xa2, 0xf4, 0x34, 0xbc, 0x67, 0xff, 0x03, 0xbb, 0x45, 0x1e, 0x4a, 0x9b, 0x2a, 0xf4, 0xd0, 0x12, 0x69, 0x30, + /* (2^ 4)P */ 0x54, 0x71, 0xaf, 0xe6, 0x07, 0x65, 0x88, 0xff, 0x2f, 0xc8, 0xee, 0xdf, 0x13, 0x0e, 0xf5, 0x04, 0xce, 0xb5, 0xba, 0x2a, 0xe8, 0x2f, 0x51, 0xaa, 0x22, 0xf2, 0xd5, 0x68, 0x1a, 0x25, 0x4e, 0x17, + /* (2^ 5)P */ 0x98, 0x88, 0x02, 0x82, 0x0d, 0x70, 0x96, 0xcf, 0xc5, 0x02, 0x2c, 0x0a, 0x37, 0xe3, 0x43, 0x17, 0xaa, 0x6e, 0xe8, 0xb4, 0x98, 0xec, 0x9e, 0x37, 0x2e, 0x48, 0xe0, 0x51, 0x8a, 0x88, 0x59, 0x0c, + /* (2^ 6)P */ 0x89, 0xd1, 0xb5, 0x99, 0xd6, 0xf1, 0xcb, 0xfb, 0x84, 0xdc, 0x9f, 0x8e, 0xd5, 0xf0, 0xae, 0xac, 0x14, 0x76, 0x1f, 0x23, 0x06, 0x0d, 0xc2, 0xc1, 0x72, 0xf9, 0x74, 0xa2, 0x8d, 0x21, 0x38, 0x29, + /* (2^ 7)P */ 0x18, 0x7f, 0x1d, 0xff, 0xbe, 0x49, 0xaf, 0xf6, 0xc2, 0xc9, 0x7a, 0x38, 0x22, 0x1c, 0x54, 0xcc, 0x6b, 0xc5, 0x15, 0x40, 0xef, 0xc9, 0xfc, 0x96, 0xa9, 0x13, 0x09, 0x69, 0x7c, 0x62, 0xc1, 0x69, + /* (2^ 8)P */ 0x0e, 0xdb, 0x33, 0x47, 0x2f, 0xfd, 0x86, 0x7a, 0xe9, 0x7d, 0x08, 0x9e, 0xf2, 0xc4, 0xb8, 0xfd, 0x29, 0xa2, 0xa2, 0x8e, 0x1a, 0x4b, 0x5e, 0x09, 0x79, 0x7a, 0xb3, 0x29, 0xc8, 0xa7, 0xd7, 0x1a, + /* (2^ 9)P */ 0xc0, 0xa0, 0x7e, 0xd1, 0xca, 0x89, 0x2d, 0x34, 0x51, 0x20, 0xed, 0xcc, 0xa6, 0xdd, 0xbe, 0x67, 0x74, 0x2f, 0xb4, 0x2b, 0xbf, 0x31, 0xca, 0x19, 0xbb, 0xac, 0x80, 0x49, 0xc8, 0xb4, 0xf7, 0x3d, + /* (2^ 10)P */ 0x83, 0xd8, 0x0a, 0xc8, 0x4d, 0x44, 0xc6, 0xa8, 0x85, 0xab, 0xe3, 0x66, 0x03, 0x44, 0x1e, 0xb9, 0xd8, 0xf6, 0x64, 0x01, 0xa0, 0xcd, 0x15, 0xc2, 0x68, 0xe6, 0x47, 0xf2, 0x6e, 0x7c, 0x86, 0x3d, + /* (2^ 11)P */ 0x8c, 0x65, 0x3e, 0xcc, 0x2b, 0x58, 0xdd, 0xc7, 0x28, 0x55, 0x0e, 0xee, 0x48, 0x47, 0x2c, 0xfd, 0x71, 0x4f, 0x9f, 0xcc, 0x95, 0x9b, 0xfd, 0xa0, 0xdf, 0x5d, 0x67, 0xb0, 0x71, 0xd8, 0x29, 0x75, + /* (2^ 12)P */ 0x78, 0xbd, 0x3c, 0x2d, 0xb4, 0x68, 0xf5, 0xb8, 0x82, 0xda, 0xf3, 0x91, 0x1b, 0x01, 0x33, 0x12, 0x62, 0x3b, 0x7c, 0x4a, 0xcd, 0x6c, 0xce, 0x2d, 0x03, 0x86, 0x49, 0x9e, 0x8e, 0xfc, 0xe7, 0x75, + /* (2^ 13)P */ 0xec, 0xb6, 0xd0, 0xfc, 0xf1, 0x13, 0x4f, 0x2f, 0x45, 0x7a, 0xff, 0x29, 0x1f, 0xca, 0xa8, 0xf1, 0x9b, 0xe2, 0x81, 0x29, 0xa7, 0xc1, 0x49, 0xc2, 0x6a, 0xb5, 0x83, 0x8c, 0xbb, 0x0d, 0xbe, 0x6e, + /* (2^ 14)P */ 0x22, 0xb2, 0x0b, 0x17, 0x8d, 0xfa, 0x14, 0x71, 0x5f, 0x93, 0x93, 0xbf, 0xd5, 0xdc, 0xa2, 0x65, 0x9a, 0x97, 0x9c, 0xb5, 0x68, 0x1f, 0xc4, 0xbd, 0x89, 0x92, 0xce, 0xa2, 0x79, 0xef, 0x0e, 0x2f, + /* (2^ 15)P */ 0xce, 0x37, 0x3c, 0x08, 0x0c, 0xbf, 0xec, 0x42, 0x22, 0x63, 0x49, 0xec, 0x09, 0xbc, 0x30, 0x29, 0x0d, 0xac, 0xfe, 0x9c, 0xc1, 0xb0, 0x94, 0xf2, 0x80, 0xbb, 0xfa, 0xed, 0x4b, 0xaa, 0x80, 0x37, + /* (2^ 16)P */ 0x29, 0xd9, 0xea, 0x7c, 0x3e, 0x7d, 0xc1, 0x56, 0xc5, 0x22, 0x57, 0x2e, 0xeb, 0x4b, 0xcb, 0xe7, 0x5a, 0xe1, 0xbf, 0x2d, 0x73, 0x31, 0xe9, 0x0c, 0xf8, 0x52, 0x10, 0x62, 0xc7, 0x83, 0xb8, 0x41, + /* (2^ 17)P */ 0x50, 0x53, 0xd2, 0xc3, 0xa0, 0x5c, 0xf7, 0xdb, 0x51, 0xe3, 0xb1, 0x6e, 0x08, 0xbe, 0x36, 0x29, 0x12, 0xb2, 0xa9, 0xb4, 0x3c, 0xe0, 0x36, 0xc9, 0xaa, 0x25, 0x22, 0x32, 0x82, 0xbf, 0x45, 0x1d, + /* (2^ 18)P */ 0xc5, 0x4c, 0x02, 0x6a, 0x03, 0xb1, 0x1a, 0xe8, 0x72, 0x9a, 0x4c, 0x30, 0x1c, 0x20, 0x12, 0xe2, 0xfc, 0xb1, 0x32, 0x68, 0xba, 0x3f, 0xd7, 0xc5, 0x81, 0x95, 0x83, 0x4d, 0x5a, 0xdb, 0xff, 0x20, + /* (2^ 19)P */ 0xad, 0x0f, 0x5d, 0xbe, 0x67, 0xd3, 0x83, 0xa2, 0x75, 0x44, 0x16, 0x8b, 0xca, 0x25, 0x2b, 0x6c, 0x2e, 0xf2, 0xaa, 0x7c, 0x46, 0x35, 0x49, 0x9d, 0x49, 0xff, 0x85, 0xee, 0x8e, 0x40, 0x66, 0x51, + /* (2^ 20)P */ 0x61, 0xe3, 0xb4, 0xfa, 0xa2, 0xba, 0x67, 0x3c, 0xef, 0x5c, 0xf3, 0x7e, 0xc6, 0x33, 0xe4, 0xb3, 0x1c, 0x9b, 0x15, 0x41, 0x92, 0x72, 0x59, 0x52, 0x33, 0xab, 0xb0, 0xd5, 0x92, 0x18, 0x62, 0x6a, + /* (2^ 21)P */ 0xcb, 0xcd, 0x55, 0x75, 0x38, 0x4a, 0xb7, 0x20, 0x3f, 0x92, 0x08, 0x12, 0x0e, 0xa1, 0x2a, 0x53, 0xd1, 0x1d, 0x28, 0x62, 0x77, 0x7b, 0xa1, 0xea, 0xbf, 0x44, 0x5c, 0xf0, 0x43, 0x34, 0xab, 0x61, + /* (2^ 22)P */ 0xf8, 0xde, 0x24, 0x23, 0x42, 0x6c, 0x7a, 0x25, 0x7f, 0xcf, 0xe3, 0x17, 0x10, 0x6c, 0x1c, 0x13, 0x57, 0xa2, 0x30, 0xf6, 0x39, 0x87, 0x75, 0x23, 0x80, 0x85, 0xa7, 0x01, 0x7a, 0x40, 0x5a, 0x29, + /* (2^ 23)P */ 0xd9, 0xa8, 0x5d, 0x6d, 0x24, 0x43, 0xc4, 0xf8, 0x5d, 0xfa, 0x52, 0x0c, 0x45, 0x75, 0xd7, 0x19, 0x3d, 0xf8, 0x1b, 0x73, 0x92, 0xfc, 0xfc, 0x2a, 0x00, 0x47, 0x2b, 0x1b, 0xe8, 0xc8, 0x10, 0x7d, + /* (2^ 24)P */ 0x0b, 0xa2, 0xba, 0x70, 0x1f, 0x27, 0xe0, 0xc8, 0x57, 0x39, 0xa6, 0x7c, 0x86, 0x48, 0x37, 0x99, 0xbb, 0xd4, 0x7e, 0xcb, 0xb3, 0xef, 0x12, 0x54, 0x75, 0x29, 0xe6, 0x73, 0x61, 0xd3, 0x96, 0x31, + /* (2^ 25)P */ 0xfc, 0xdf, 0xc7, 0x41, 0xd1, 0xca, 0x5b, 0xde, 0x48, 0xc8, 0x95, 0xb3, 0xd2, 0x8c, 0xcc, 0x47, 0xcb, 0xf3, 0x1a, 0xe1, 0x42, 0xd9, 0x4c, 0xa3, 0xc2, 0xce, 0x4e, 0xd0, 0xf2, 0xdb, 0x56, 0x02, + /* (2^ 26)P */ 0x7f, 0x66, 0x0e, 0x4b, 0xe9, 0xb7, 0x5a, 0x87, 0x10, 0x0d, 0x85, 0xc0, 0x83, 0xdd, 0xd4, 0xca, 0x9f, 0xc7, 0x72, 0x4e, 0x8f, 0x2e, 0xf1, 0x47, 0x9b, 0xb1, 0x85, 0x8c, 0xbb, 0x87, 0x1a, 0x5f, + /* (2^ 27)P */ 0xb8, 0x51, 0x7f, 0x43, 0xb6, 0xd0, 0xe9, 0x7a, 0x65, 0x90, 0x87, 0x18, 0x55, 0xce, 0xc7, 0x12, 0xee, 0x7a, 0xf7, 0x5c, 0xfe, 0x09, 0xde, 0x2a, 0x27, 0x56, 0x2c, 0x7d, 0x2f, 0x5a, 0xa0, 0x23, + /* (2^ 28)P */ 0x9a, 0x16, 0x7c, 0xf1, 0x28, 0xe1, 0x08, 0x59, 0x2d, 0x85, 0xd0, 0x8a, 0xdd, 0x98, 0x74, 0xf7, 0x64, 0x2f, 0x10, 0xab, 0xce, 0xc4, 0xb4, 0x74, 0x45, 0x98, 0x13, 0x10, 0xdd, 0xba, 0x3a, 0x18, + /* (2^ 29)P */ 0xac, 0xaa, 0x92, 0xaa, 0x8d, 0xba, 0x65, 0xb1, 0x05, 0x67, 0x38, 0x99, 0x95, 0xef, 0xc5, 0xd5, 0xd1, 0x40, 0xfc, 0xf8, 0x0c, 0x8f, 0x2f, 0xbe, 0x14, 0x45, 0x20, 0xee, 0x35, 0xe6, 0x01, 0x27, + /* (2^ 30)P */ 0x14, 0x65, 0x15, 0x20, 0x00, 0xa8, 0x9f, 0x62, 0xce, 0xc1, 0xa8, 0x64, 0x87, 0x86, 0x23, 0xf2, 0x0e, 0x06, 0x3f, 0x0b, 0xff, 0x4f, 0x89, 0x5b, 0xfa, 0xa3, 0x08, 0xf7, 0x4c, 0x94, 0xd9, 0x60, + /* (2^ 31)P */ 0x1f, 0x20, 0x7a, 0x1c, 0x1a, 0x00, 0xea, 0xae, 0x63, 0xce, 0xe2, 0x3e, 0x63, 0x6a, 0xf1, 0xeb, 0xe1, 0x07, 0x7a, 0x4c, 0x59, 0x09, 0x77, 0x6f, 0xcb, 0x08, 0x02, 0x0d, 0x15, 0x58, 0xb9, 0x79, + /* (2^ 32)P */ 0xe7, 0x10, 0xd4, 0x01, 0x53, 0x5e, 0xb5, 0x24, 0x4d, 0xc8, 0xfd, 0xf3, 0xdf, 0x4e, 0xa3, 0xe3, 0xd8, 0x32, 0x40, 0x90, 0xe4, 0x68, 0x87, 0xd8, 0xec, 0xae, 0x3a, 0x7b, 0x42, 0x84, 0x13, 0x13, + /* (2^ 33)P */ 0x14, 0x4f, 0x23, 0x86, 0x12, 0xe5, 0x05, 0x84, 0x29, 0xc5, 0xb4, 0xad, 0x39, 0x47, 0xdc, 0x14, 0xfd, 0x4f, 0x63, 0x50, 0xb2, 0xb5, 0xa2, 0xb8, 0x93, 0xff, 0xa7, 0xd8, 0x4a, 0xa9, 0xe2, 0x2f, + /* (2^ 34)P */ 0xdd, 0xfa, 0x43, 0xe8, 0xef, 0x57, 0x5c, 0xec, 0x18, 0x99, 0xbb, 0xf0, 0x40, 0xce, 0x43, 0x28, 0x05, 0x63, 0x3d, 0xcf, 0xd6, 0x61, 0xb5, 0xa4, 0x7e, 0x77, 0xfb, 0xe8, 0xbd, 0x29, 0x36, 0x74, + /* (2^ 35)P */ 0x8f, 0x73, 0xaf, 0xbb, 0x46, 0xdd, 0x3e, 0x34, 0x51, 0xa6, 0x01, 0xb1, 0x28, 0x18, 0x98, 0xed, 0x7a, 0x79, 0x2c, 0x88, 0x0b, 0x76, 0x01, 0xa4, 0x30, 0x87, 0xc8, 0x8d, 0xe2, 0x23, 0xc2, 0x1f, + /* (2^ 36)P */ 0x0e, 0xba, 0x0f, 0xfc, 0x91, 0x4e, 0x60, 0x48, 0xa4, 0x6f, 0x2c, 0x05, 0x8f, 0xf7, 0x37, 0xb6, 0x9c, 0x23, 0xe9, 0x09, 0x3d, 0xac, 0xcc, 0x91, 0x7c, 0x68, 0x7a, 0x43, 0xd4, 0xee, 0xf7, 0x23, + /* (2^ 37)P */ 0x00, 0xd8, 0x9b, 0x8d, 0x11, 0xb1, 0x73, 0x51, 0xa7, 0xd4, 0x89, 0x31, 0xb6, 0x41, 0xd6, 0x29, 0x86, 0xc5, 0xbb, 0x88, 0x79, 0x17, 0xbf, 0xfd, 0xf5, 0x1d, 0xd8, 0xca, 0x4f, 0x89, 0x59, 0x29, + /* (2^ 38)P */ 0x99, 0xc8, 0xbb, 0xb4, 0xf3, 0x8e, 0xbc, 0xae, 0xb9, 0x92, 0x69, 0xb2, 0x5a, 0x99, 0x48, 0x41, 0xfb, 0x2c, 0xf9, 0x34, 0x01, 0x0b, 0xe2, 0x24, 0xe8, 0xde, 0x05, 0x4a, 0x89, 0x58, 0xd1, 0x40, + /* (2^ 39)P */ 0xf6, 0x76, 0xaf, 0x85, 0x11, 0x0b, 0xb0, 0x46, 0x79, 0x7a, 0x18, 0x73, 0x78, 0xc7, 0xba, 0x26, 0x5f, 0xff, 0x8f, 0xab, 0x95, 0xbf, 0xc0, 0x3d, 0xd7, 0x24, 0x55, 0x94, 0xd8, 0x8b, 0x60, 0x2a, + /* (2^ 40)P */ 0x02, 0x63, 0x44, 0xbd, 0x88, 0x95, 0x44, 0x26, 0x9c, 0x43, 0x88, 0x03, 0x1c, 0xc2, 0x4b, 0x7c, 0xb2, 0x11, 0xbd, 0x83, 0xf3, 0xa4, 0x98, 0x8e, 0xb9, 0x76, 0xd8, 0xc9, 0x7b, 0x8d, 0x21, 0x26, + /* (2^ 41)P */ 0x8a, 0x17, 0x7c, 0x99, 0x42, 0x15, 0x08, 0xe3, 0x6f, 0x60, 0xb6, 0x6f, 0xa8, 0x29, 0x2d, 0x3c, 0x74, 0x93, 0x27, 0xfa, 0x36, 0x77, 0x21, 0x5c, 0xfa, 0xb1, 0xfe, 0x4a, 0x73, 0x05, 0xde, 0x7d, + /* (2^ 42)P */ 0xab, 0x2b, 0xd4, 0x06, 0x39, 0x0e, 0xf1, 0x3b, 0x9c, 0x64, 0x80, 0x19, 0x3e, 0x80, 0xf7, 0xe4, 0x7a, 0xbf, 0x95, 0x95, 0xf8, 0x3b, 0x05, 0xe6, 0x30, 0x55, 0x24, 0xda, 0x38, 0xaf, 0x4f, 0x39, + /* (2^ 43)P */ 0xf4, 0x28, 0x69, 0x89, 0x58, 0xfb, 0x8e, 0x7a, 0x3c, 0x11, 0x6a, 0xcc, 0xe9, 0x78, 0xc7, 0xfb, 0x6f, 0x59, 0xaf, 0x30, 0xe3, 0x0c, 0x67, 0x72, 0xf7, 0x6c, 0x3d, 0x1d, 0xa8, 0x22, 0xf2, 0x48, + /* (2^ 44)P */ 0xa7, 0xca, 0x72, 0x0d, 0x41, 0xce, 0x1f, 0xf0, 0x95, 0x55, 0x3b, 0x21, 0xc7, 0xec, 0x20, 0x5a, 0x83, 0x14, 0xfa, 0xc1, 0x65, 0x11, 0xc2, 0x7b, 0x41, 0xa7, 0xa8, 0x1d, 0xe3, 0x9a, 0xf8, 0x07, + /* (2^ 45)P */ 0xf9, 0x0f, 0x83, 0xc6, 0xb4, 0xc2, 0xd2, 0x05, 0x93, 0x62, 0x31, 0xc6, 0x0f, 0x33, 0x3e, 0xd4, 0x04, 0xa9, 0xd3, 0x96, 0x0a, 0x59, 0xa5, 0xa5, 0xb6, 0x33, 0x53, 0xa6, 0x91, 0xdb, 0x5e, 0x70, + /* (2^ 46)P */ 0xf7, 0xa5, 0xb9, 0x0b, 0x5e, 0xe1, 0x8e, 0x04, 0x5d, 0xaf, 0x0a, 0x9e, 0xca, 0xcf, 0x40, 0x32, 0x0b, 0xa4, 0xc4, 0xed, 0xce, 0x71, 0x4b, 0x8f, 0x6d, 0x4a, 0x54, 0xde, 0xa3, 0x0d, 0x1c, 0x62, + /* (2^ 47)P */ 0x91, 0x40, 0x8c, 0xa0, 0x36, 0x28, 0x87, 0x92, 0x45, 0x14, 0xc9, 0x10, 0xb0, 0x75, 0x83, 0xce, 0x94, 0x63, 0x27, 0x4f, 0x52, 0xeb, 0x72, 0x8a, 0x35, 0x36, 0xc8, 0x7e, 0xfa, 0xfc, 0x67, 0x26, + /* (2^ 48)P */ 0x2a, 0x75, 0xe8, 0x45, 0x33, 0x17, 0x4c, 0x7f, 0xa5, 0x79, 0x70, 0xee, 0xfe, 0x47, 0x1b, 0x06, 0x34, 0xff, 0x86, 0x9f, 0xfa, 0x9a, 0xdd, 0x25, 0x9c, 0xc8, 0x5d, 0x42, 0xf5, 0xce, 0x80, 0x37, + /* (2^ 49)P */ 0xe9, 0xb4, 0x3b, 0x51, 0x5a, 0x03, 0x46, 0x1a, 0xda, 0x5a, 0x57, 0xac, 0x79, 0xf3, 0x1e, 0x3e, 0x50, 0x4b, 0xa2, 0x5f, 0x1c, 0x5f, 0x8c, 0xc7, 0x22, 0x9f, 0xfd, 0x34, 0x76, 0x96, 0x1a, 0x32, + /* (2^ 50)P */ 0xfa, 0x27, 0x6e, 0x82, 0xb8, 0x07, 0x67, 0x94, 0xd0, 0x6f, 0x50, 0x4c, 0xd6, 0x84, 0xca, 0x3d, 0x36, 0x14, 0xe9, 0x75, 0x80, 0x21, 0x89, 0xc1, 0x84, 0x84, 0x3b, 0x9b, 0x16, 0x84, 0x92, 0x6d, + /* (2^ 51)P */ 0xdf, 0x2d, 0x3f, 0x38, 0x40, 0xe8, 0x67, 0x3a, 0x75, 0x9b, 0x4f, 0x0c, 0xa3, 0xc9, 0xee, 0x33, 0x47, 0xef, 0x83, 0xa7, 0x6f, 0xc8, 0xc7, 0x3e, 0xc4, 0xfb, 0xc9, 0xba, 0x9f, 0x44, 0xec, 0x26, + /* (2^ 52)P */ 0x7d, 0x9e, 0x9b, 0xa0, 0xcb, 0x38, 0x0f, 0x5c, 0x8c, 0x47, 0xa3, 0x62, 0xc7, 0x8c, 0x16, 0x81, 0x1c, 0x12, 0xfc, 0x06, 0xd3, 0xb0, 0x23, 0x3e, 0xdd, 0xdc, 0xef, 0xa5, 0xa0, 0x8a, 0x23, 0x5a, + /* (2^ 53)P */ 0xff, 0x43, 0xea, 0xc4, 0x21, 0x61, 0xa2, 0x1b, 0xb5, 0x32, 0x88, 0x7c, 0x7f, 0xc7, 0xf8, 0x36, 0x9a, 0xf9, 0xdc, 0x0a, 0x0b, 0xea, 0xfb, 0x88, 0xf9, 0xeb, 0x5b, 0xc2, 0x8e, 0x93, 0xa9, 0x5c, + /* (2^ 54)P */ 0xa0, 0xcd, 0xfc, 0x51, 0x5e, 0x6a, 0x43, 0xd5, 0x3b, 0x89, 0xcd, 0xc2, 0x97, 0x47, 0xbc, 0x1d, 0x08, 0x4a, 0x22, 0xd3, 0x65, 0x6a, 0x34, 0x19, 0x66, 0xf4, 0x9a, 0x9b, 0xe4, 0x34, 0x50, 0x0f, + /* (2^ 55)P */ 0x6e, 0xb9, 0xe0, 0xa1, 0x67, 0x39, 0x3c, 0xf2, 0x88, 0x4d, 0x7a, 0x86, 0xfa, 0x08, 0x8b, 0xe5, 0x79, 0x16, 0x34, 0xa7, 0xc6, 0xab, 0x2f, 0xfb, 0x46, 0x69, 0x02, 0xb6, 0x1e, 0x38, 0x75, 0x2a, + /* (2^ 56)P */ 0xac, 0x20, 0x94, 0xc1, 0xe4, 0x3b, 0x0a, 0xc8, 0xdc, 0xb6, 0xf2, 0x81, 0xc6, 0xf6, 0xb1, 0x66, 0x88, 0x33, 0xe9, 0x61, 0x67, 0x03, 0xf7, 0x7c, 0xc4, 0xa4, 0x60, 0xa6, 0xd8, 0xbb, 0xab, 0x25, + /* (2^ 57)P */ 0x98, 0x51, 0xfd, 0x14, 0xba, 0x12, 0xea, 0x91, 0xa9, 0xff, 0x3c, 0x4a, 0xfc, 0x50, 0x49, 0x68, 0x28, 0xad, 0xf5, 0x30, 0x21, 0x84, 0x26, 0xf8, 0x41, 0xa4, 0x01, 0x53, 0xf7, 0x88, 0xa9, 0x3e, + /* (2^ 58)P */ 0x6f, 0x8c, 0x5f, 0x69, 0x9a, 0x10, 0x78, 0xc9, 0xf3, 0xc3, 0x30, 0x05, 0x4a, 0xeb, 0x46, 0x17, 0x95, 0x99, 0x45, 0xb4, 0x77, 0x6d, 0x4d, 0x44, 0xc7, 0x5c, 0x4e, 0x05, 0x8c, 0x2b, 0x95, 0x75, + /* (2^ 59)P */ 0xaa, 0xd6, 0xf4, 0x15, 0x79, 0x3f, 0x70, 0xa3, 0xd8, 0x47, 0x26, 0x2f, 0x20, 0x46, 0xc3, 0x66, 0x4b, 0x64, 0x1d, 0x81, 0xdf, 0x69, 0x14, 0xd0, 0x1f, 0xd7, 0xa5, 0x81, 0x7d, 0xa4, 0xfe, 0x77, + /* (2^ 60)P */ 0x81, 0xa3, 0x7c, 0xf5, 0x9e, 0x52, 0xe9, 0xc5, 0x1a, 0x88, 0x2f, 0xce, 0xb9, 0xb4, 0xee, 0x6e, 0xd6, 0x9b, 0x00, 0xe8, 0x28, 0x1a, 0xe9, 0xb6, 0xec, 0x3f, 0xfc, 0x9a, 0x3e, 0xbe, 0x80, 0x4b, + /* (2^ 61)P */ 0xc5, 0xd2, 0xae, 0x26, 0xc5, 0x73, 0x37, 0x7e, 0x9d, 0xa4, 0xc9, 0x53, 0xb4, 0xfc, 0x4a, 0x1b, 0x4d, 0xb2, 0xff, 0xba, 0xd7, 0xbd, 0x20, 0xa9, 0x0e, 0x40, 0x2d, 0x12, 0x9f, 0x69, 0x54, 0x7c, + /* (2^ 62)P */ 0xc8, 0x4b, 0xa9, 0x4f, 0xe1, 0xc8, 0x46, 0xef, 0x5e, 0xed, 0x52, 0x29, 0xce, 0x74, 0xb0, 0xe0, 0xd5, 0x85, 0xd8, 0xdb, 0xe1, 0x50, 0xa4, 0xbe, 0x2c, 0x71, 0x0f, 0x32, 0x49, 0x86, 0xb6, 0x61, + /* (2^ 63)P */ 0xd1, 0xbd, 0xcc, 0x09, 0x73, 0x5f, 0x48, 0x8a, 0x2d, 0x1a, 0x4d, 0x7d, 0x0d, 0x32, 0x06, 0xbd, 0xf4, 0xbe, 0x2d, 0x32, 0x73, 0x29, 0x23, 0x25, 0x70, 0xf7, 0x17, 0x8c, 0x75, 0xc4, 0x5d, 0x44, + /* (2^ 64)P */ 0x3c, 0x93, 0xc8, 0x7c, 0x17, 0x34, 0x04, 0xdb, 0x9f, 0x05, 0xea, 0x75, 0x21, 0xe8, 0x6f, 0xed, 0x34, 0xdb, 0x53, 0xc0, 0xfd, 0xbe, 0xfe, 0x1e, 0x99, 0xaf, 0x5d, 0xc6, 0x67, 0xe8, 0xdb, 0x4a, + /* (2^ 65)P */ 0xdf, 0x09, 0x06, 0xa9, 0xa2, 0x71, 0xcd, 0x3a, 0x50, 0x40, 0xd0, 0x6d, 0x85, 0x91, 0xe9, 0xe5, 0x3c, 0xc2, 0x57, 0x81, 0x68, 0x9b, 0xc6, 0x1e, 0x4d, 0xfe, 0x5c, 0x88, 0xf6, 0x27, 0x74, 0x69, + /* (2^ 66)P */ 0x51, 0xa8, 0xe1, 0x65, 0x9b, 0x7b, 0xbe, 0xd7, 0xdd, 0x36, 0xc5, 0x22, 0xd5, 0x28, 0x3d, 0xa0, 0x45, 0xb6, 0xd2, 0x8f, 0x65, 0x9d, 0x39, 0x28, 0xe1, 0x41, 0x26, 0x7c, 0xe1, 0xb7, 0xe5, 0x49, + /* (2^ 67)P */ 0xa4, 0x57, 0x04, 0x70, 0x98, 0x3a, 0x8c, 0x6f, 0x78, 0x67, 0xbb, 0x5e, 0xa2, 0xf0, 0x78, 0x50, 0x0f, 0x96, 0x82, 0xc3, 0xcb, 0x3c, 0x3c, 0xd1, 0xb1, 0x84, 0xdf, 0xa7, 0x58, 0x32, 0x00, 0x2e, + /* (2^ 68)P */ 0x1c, 0x6a, 0x29, 0xe6, 0x9b, 0xf3, 0xd1, 0x8a, 0xb2, 0xbf, 0x5f, 0x2a, 0x65, 0xaa, 0xee, 0xc1, 0xcb, 0xf3, 0x26, 0xfd, 0x73, 0x06, 0xee, 0x33, 0xcc, 0x2c, 0x9d, 0xa6, 0x73, 0x61, 0x25, 0x59, + /* (2^ 69)P */ 0x41, 0xfc, 0x18, 0x4e, 0xaa, 0x07, 0xea, 0x41, 0x1e, 0xa5, 0x87, 0x7c, 0x52, 0x19, 0xfc, 0xd9, 0x6f, 0xca, 0x31, 0x58, 0x80, 0xcb, 0xaa, 0xbd, 0x4f, 0x69, 0x16, 0xc9, 0x2d, 0x65, 0x5b, 0x44, + /* (2^ 70)P */ 0x15, 0x23, 0x17, 0xf2, 0xa7, 0xa3, 0x92, 0xce, 0x64, 0x99, 0x1b, 0xe1, 0x2d, 0x28, 0xdc, 0x1e, 0x4a, 0x31, 0x4c, 0xe0, 0xaf, 0x3a, 0x82, 0xa1, 0x86, 0xf5, 0x7c, 0x43, 0x94, 0x2d, 0x0a, 0x79, + /* (2^ 71)P */ 0x09, 0xe0, 0xf6, 0x93, 0xfb, 0x47, 0xc4, 0x71, 0x76, 0x52, 0x84, 0x22, 0x67, 0xa5, 0x22, 0x89, 0x69, 0x51, 0x4f, 0x20, 0x3b, 0x90, 0x70, 0xbf, 0xfe, 0x19, 0xa3, 0x1b, 0x89, 0x89, 0x7a, 0x2f, + /* (2^ 72)P */ 0x0c, 0x14, 0xe2, 0x77, 0xb5, 0x8e, 0xa0, 0x02, 0xf4, 0xdc, 0x7b, 0x42, 0xd4, 0x4e, 0x9a, 0xed, 0xd1, 0x3c, 0x32, 0xe4, 0x44, 0xec, 0x53, 0x52, 0x5b, 0x35, 0xe9, 0x14, 0x3c, 0x36, 0x88, 0x3e, + /* (2^ 73)P */ 0x8c, 0x0b, 0x11, 0x77, 0x42, 0xc1, 0x66, 0xaa, 0x90, 0x33, 0xa2, 0x10, 0x16, 0x39, 0xe0, 0x1a, 0xa2, 0xc2, 0x3f, 0xc9, 0x12, 0xbd, 0x30, 0x20, 0xab, 0xc7, 0x55, 0x95, 0x57, 0x41, 0xe1, 0x3e, + /* (2^ 74)P */ 0x41, 0x7d, 0x6e, 0x6d, 0x3a, 0xde, 0x14, 0x92, 0xfe, 0x7e, 0xf1, 0x07, 0x86, 0xd8, 0xcd, 0x3c, 0x17, 0x12, 0xe1, 0xf8, 0x88, 0x12, 0x4f, 0x67, 0xd0, 0x93, 0x9f, 0x32, 0x0f, 0x25, 0x82, 0x56, + /* (2^ 75)P */ 0x6e, 0x39, 0x2e, 0x6d, 0x13, 0x0b, 0xf0, 0x6c, 0xbf, 0xde, 0x14, 0x10, 0x6f, 0xf8, 0x4c, 0x6e, 0x83, 0x4e, 0xcc, 0xbf, 0xb5, 0xb1, 0x30, 0x59, 0xb6, 0x16, 0xba, 0x8a, 0xb4, 0x69, 0x70, 0x04, + /* (2^ 76)P */ 0x93, 0x07, 0xb2, 0x69, 0xab, 0xe4, 0x4c, 0x0d, 0x9e, 0xfb, 0xd0, 0x97, 0x1a, 0xb9, 0x4d, 0xb2, 0x1d, 0xd0, 0x00, 0x4e, 0xf5, 0x50, 0xfa, 0xcd, 0xb5, 0xdd, 0x8b, 0x36, 0x85, 0x10, 0x1b, 0x22, + /* (2^ 77)P */ 0xd2, 0xd8, 0xe3, 0xb1, 0x68, 0x94, 0xe5, 0xe7, 0x93, 0x2f, 0x12, 0xbd, 0x63, 0x65, 0xc5, 0x53, 0x09, 0x3f, 0x66, 0xe0, 0x03, 0xa9, 0xe8, 0xee, 0x42, 0x3d, 0xbe, 0xcb, 0x62, 0xa6, 0xef, 0x61, + /* (2^ 78)P */ 0x2a, 0xab, 0x6e, 0xde, 0xdd, 0xdd, 0xf8, 0x2c, 0x31, 0xf2, 0x35, 0x14, 0xd5, 0x0a, 0xf8, 0x9b, 0x73, 0x49, 0xf0, 0xc9, 0xce, 0xda, 0xea, 0x5d, 0x27, 0x9b, 0xd2, 0x41, 0x5d, 0x5b, 0x27, 0x29, + /* (2^ 79)P */ 0x4f, 0xf1, 0xeb, 0x95, 0x08, 0x0f, 0xde, 0xcf, 0xa7, 0x05, 0x49, 0x05, 0x6b, 0xb9, 0xaa, 0xb9, 0xfd, 0x20, 0xc4, 0xa1, 0xd9, 0x0d, 0xe8, 0xca, 0xc7, 0xbb, 0x73, 0x16, 0x2f, 0xbf, 0x63, 0x0a, + /* (2^ 80)P */ 0x8c, 0xbc, 0x8f, 0x95, 0x11, 0x6e, 0x2f, 0x09, 0xad, 0x2f, 0x82, 0x04, 0xe8, 0x81, 0x2a, 0x67, 0x17, 0x25, 0xd5, 0x60, 0x15, 0x35, 0xc8, 0xca, 0xf8, 0x92, 0xf1, 0xc8, 0x22, 0x77, 0x3f, 0x6f, + /* (2^ 81)P */ 0xb7, 0x94, 0xe8, 0xc2, 0xcc, 0x90, 0xba, 0xf8, 0x0d, 0x9f, 0xff, 0x38, 0xa4, 0x57, 0x75, 0x2c, 0x59, 0x23, 0xe5, 0x5a, 0x85, 0x1d, 0x4d, 0x89, 0x69, 0x3d, 0x74, 0x7b, 0x15, 0x22, 0xe1, 0x68, + /* (2^ 82)P */ 0xf3, 0x19, 0xb9, 0xcf, 0x70, 0x55, 0x7e, 0xd8, 0xb9, 0x8d, 0x79, 0x95, 0xcd, 0xde, 0x2c, 0x3f, 0xce, 0xa2, 0xc0, 0x10, 0x47, 0x15, 0x21, 0x21, 0xb2, 0xc5, 0x6d, 0x24, 0x15, 0xa1, 0x66, 0x3c, + /* (2^ 83)P */ 0x72, 0xcb, 0x4e, 0x29, 0x62, 0xc5, 0xed, 0xcb, 0x16, 0x0b, 0x28, 0x6a, 0xc3, 0x43, 0x71, 0xba, 0x67, 0x8b, 0x07, 0xd4, 0xef, 0xc2, 0x10, 0x96, 0x1e, 0x4b, 0x6a, 0x94, 0x5d, 0x73, 0x44, 0x61, + /* (2^ 84)P */ 0x50, 0x33, 0x5b, 0xd7, 0x1e, 0x11, 0x6f, 0x53, 0x1b, 0xd8, 0x41, 0x20, 0x8c, 0xdb, 0x11, 0x02, 0x3c, 0x41, 0x10, 0x0e, 0x00, 0xb1, 0x3c, 0xf9, 0x76, 0x88, 0x9e, 0x03, 0x3c, 0xfd, 0x9d, 0x14, + /* (2^ 85)P */ 0x5b, 0x15, 0x63, 0x6b, 0xe4, 0xdd, 0x79, 0xd4, 0x76, 0x79, 0x83, 0x3c, 0xe9, 0x15, 0x6e, 0xb6, 0x38, 0xe0, 0x13, 0x1f, 0x3b, 0xe4, 0xfd, 0xda, 0x35, 0x0b, 0x4b, 0x2e, 0x1a, 0xda, 0xaf, 0x5f, + /* (2^ 86)P */ 0x81, 0x75, 0x19, 0x17, 0xdf, 0xbb, 0x00, 0x36, 0xc2, 0xd2, 0x3c, 0xbe, 0x0b, 0x05, 0x72, 0x39, 0x86, 0xbe, 0xd5, 0xbd, 0x6d, 0x90, 0x38, 0x59, 0x0f, 0x86, 0x9b, 0x3f, 0xe4, 0xe5, 0xfc, 0x34, + /* (2^ 87)P */ 0x02, 0x4d, 0xd1, 0x42, 0xcd, 0xa4, 0xa8, 0x75, 0x65, 0xdf, 0x41, 0x34, 0xc5, 0xab, 0x8d, 0x82, 0xd3, 0x31, 0xe1, 0xd2, 0xed, 0xab, 0xdc, 0x33, 0x5f, 0xd2, 0x14, 0xb8, 0x6f, 0xd7, 0xba, 0x3e, + /* (2^ 88)P */ 0x0f, 0xe1, 0x70, 0x6f, 0x56, 0x6f, 0x90, 0xd4, 0x5a, 0x0f, 0x69, 0x51, 0xaa, 0xf7, 0x12, 0x5d, 0xf2, 0xfc, 0xce, 0x76, 0x6e, 0xb1, 0xad, 0x45, 0x99, 0x29, 0x23, 0xad, 0xae, 0x68, 0xf7, 0x01, + /* (2^ 89)P */ 0xbd, 0xfe, 0x48, 0x62, 0x7b, 0xc7, 0x6c, 0x2b, 0xfd, 0xaf, 0x3a, 0xec, 0x28, 0x06, 0xd3, 0x3c, 0x6a, 0x48, 0xef, 0xd4, 0x80, 0x0b, 0x1c, 0xce, 0x23, 0x6c, 0xf6, 0xa6, 0x2e, 0xff, 0x3b, 0x4c, + /* (2^ 90)P */ 0x5f, 0xeb, 0xea, 0x4a, 0x09, 0xc4, 0x2e, 0x3f, 0xa7, 0x2c, 0x37, 0x6e, 0x28, 0x9b, 0xb1, 0x61, 0x1d, 0x70, 0x2a, 0xde, 0x66, 0xa9, 0xef, 0x5e, 0xef, 0xe3, 0x55, 0xde, 0x65, 0x05, 0xb2, 0x23, + /* (2^ 91)P */ 0x57, 0x85, 0xd5, 0x79, 0x52, 0xca, 0x01, 0xe3, 0x4f, 0x87, 0xc2, 0x27, 0xce, 0xd4, 0xb2, 0x07, 0x67, 0x1d, 0xcf, 0x9d, 0x8a, 0xcd, 0x32, 0xa5, 0x56, 0xff, 0x2b, 0x3f, 0xe2, 0xfe, 0x52, 0x2a, + /* (2^ 92)P */ 0x3d, 0x66, 0xd8, 0x7c, 0xb3, 0xef, 0x24, 0x86, 0x94, 0x75, 0xbd, 0xff, 0x20, 0xac, 0xc7, 0xbb, 0x45, 0x74, 0xd3, 0x82, 0x9c, 0x5e, 0xb8, 0x57, 0x66, 0xec, 0xa6, 0x86, 0xcb, 0x52, 0x30, 0x7b, + /* (2^ 93)P */ 0x1e, 0xe9, 0x25, 0x25, 0xad, 0xf0, 0x82, 0x34, 0xa0, 0xdc, 0x8e, 0xd2, 0x43, 0x80, 0xb6, 0x2c, 0x3a, 0x00, 0x1b, 0x2e, 0x05, 0x6d, 0x4f, 0xaf, 0x0a, 0x1b, 0x78, 0x29, 0x25, 0x8c, 0x5f, 0x18, + /* (2^ 94)P */ 0xd6, 0xe0, 0x0c, 0xd8, 0x5b, 0xde, 0x41, 0xaa, 0xd6, 0xe9, 0x53, 0x68, 0x41, 0xb2, 0x07, 0x94, 0x3a, 0x4c, 0x7f, 0x35, 0x6e, 0xc3, 0x3e, 0x56, 0xce, 0x7b, 0x29, 0x0e, 0xdd, 0xb8, 0xc4, 0x4c, + /* (2^ 95)P */ 0x0e, 0x73, 0xb8, 0xff, 0x52, 0x1a, 0xfc, 0xa2, 0x37, 0x8e, 0x05, 0x67, 0x6e, 0xf1, 0x11, 0x18, 0xe1, 0x4e, 0xdf, 0xcd, 0x66, 0xa3, 0xf9, 0x10, 0x99, 0xf0, 0xb9, 0xa0, 0xc4, 0xa0, 0xf4, 0x72, + /* (2^ 96)P */ 0xa7, 0x4e, 0x3f, 0x66, 0x6f, 0xc0, 0x16, 0x8c, 0xba, 0x0f, 0x97, 0x4e, 0xf7, 0x3a, 0x3b, 0x69, 0x45, 0xc3, 0x9e, 0xd6, 0xf1, 0xe7, 0x02, 0x21, 0x89, 0x80, 0x8a, 0x96, 0xbc, 0x3c, 0xa5, 0x0b, + /* (2^ 97)P */ 0x37, 0x55, 0xa1, 0xfe, 0xc7, 0x9d, 0x3d, 0xca, 0x93, 0x64, 0x53, 0x51, 0xbb, 0x24, 0x68, 0x4c, 0xb1, 0x06, 0x40, 0x84, 0x14, 0x63, 0x88, 0xb9, 0x60, 0xcc, 0x54, 0xb4, 0x2a, 0xa7, 0xd2, 0x40, + /* (2^ 98)P */ 0x75, 0x09, 0x57, 0x12, 0xb7, 0xa1, 0x36, 0x59, 0x57, 0xa6, 0xbd, 0xde, 0x48, 0xd6, 0xb9, 0x91, 0xea, 0x30, 0x43, 0xb6, 0x4b, 0x09, 0x44, 0x33, 0xd0, 0x51, 0xee, 0x12, 0x0d, 0xa1, 0x6b, 0x00, + /* (2^ 99)P */ 0x58, 0x5d, 0xde, 0xf5, 0x68, 0x84, 0x22, 0x19, 0xb0, 0x05, 0xcc, 0x38, 0x4c, 0x2f, 0xb1, 0x0e, 0x90, 0x19, 0x60, 0xd5, 0x9d, 0x9f, 0x03, 0xa1, 0x0b, 0x0e, 0xff, 0x4f, 0xce, 0xd4, 0x02, 0x45, + /* (2^100)P */ 0x89, 0xc1, 0x37, 0x68, 0x10, 0x54, 0x20, 0xeb, 0x3c, 0xb9, 0xd3, 0x6d, 0x4c, 0x54, 0xf6, 0xd0, 0x4f, 0xd7, 0x16, 0xc4, 0x64, 0x70, 0x72, 0x40, 0xf0, 0x2e, 0x50, 0x4b, 0x11, 0xc6, 0x15, 0x6e, + /* (2^101)P */ 0x6b, 0xa7, 0xb1, 0xcf, 0x98, 0xa3, 0xf2, 0x4d, 0xb1, 0xf6, 0xf2, 0x19, 0x74, 0x6c, 0x25, 0x11, 0x43, 0x60, 0x6e, 0x06, 0x62, 0x79, 0x49, 0x4a, 0x44, 0x5b, 0x35, 0x41, 0xab, 0x3a, 0x5b, 0x70, + /* (2^102)P */ 0xd8, 0xb1, 0x97, 0xd7, 0x36, 0xf5, 0x5e, 0x36, 0xdb, 0xf0, 0xdd, 0x22, 0xd6, 0x6b, 0x07, 0x00, 0x88, 0x5a, 0x57, 0xe0, 0xb0, 0x33, 0xbf, 0x3b, 0x4d, 0xca, 0xe4, 0xc8, 0x05, 0xaa, 0x77, 0x37, + /* (2^103)P */ 0x5f, 0xdb, 0x78, 0x55, 0xc8, 0x45, 0x27, 0x39, 0xe2, 0x5a, 0xae, 0xdb, 0x49, 0x41, 0xda, 0x6f, 0x67, 0x98, 0xdc, 0x8a, 0x0b, 0xb0, 0xf0, 0xb1, 0xa3, 0x1d, 0x6f, 0xd3, 0x37, 0x34, 0x96, 0x09, + /* (2^104)P */ 0x53, 0x38, 0xdc, 0xa5, 0x90, 0x4e, 0x82, 0x7e, 0xbd, 0x5c, 0x13, 0x1f, 0x64, 0xf6, 0xb5, 0xcc, 0xcc, 0x8f, 0xce, 0x87, 0x6c, 0xd8, 0x36, 0x67, 0x9f, 0x24, 0x04, 0x66, 0xe2, 0x3c, 0x5f, 0x62, + /* (2^105)P */ 0x3f, 0xf6, 0x02, 0x95, 0x05, 0xc8, 0x8a, 0xaf, 0x69, 0x14, 0x35, 0x2e, 0x0a, 0xe7, 0x05, 0x0c, 0x05, 0x63, 0x4b, 0x76, 0x9c, 0x2e, 0x29, 0x35, 0xc3, 0x3a, 0xe2, 0xc7, 0x60, 0x43, 0x39, 0x1a, + /* (2^106)P */ 0x64, 0x32, 0x18, 0x51, 0x32, 0xd5, 0xc6, 0xd5, 0x4f, 0xb7, 0xc2, 0x43, 0xbd, 0x5a, 0x06, 0x62, 0x9b, 0x3f, 0x97, 0x3b, 0xd0, 0xf5, 0xfb, 0xb5, 0x5e, 0x6e, 0x20, 0x61, 0x36, 0xda, 0xa3, 0x13, + /* (2^107)P */ 0xe5, 0x94, 0x5d, 0x72, 0x37, 0x58, 0xbd, 0xc6, 0xc5, 0x16, 0x50, 0x20, 0x12, 0x09, 0xe3, 0x18, 0x68, 0x3c, 0x03, 0x70, 0x15, 0xce, 0x88, 0x20, 0x87, 0x79, 0x83, 0x5c, 0x49, 0x1f, 0xba, 0x7f, + /* (2^108)P */ 0x9d, 0x07, 0xf9, 0xf2, 0x23, 0x74, 0x8c, 0x5a, 0xc5, 0x3f, 0x02, 0x34, 0x7b, 0x15, 0x35, 0x17, 0x51, 0xb3, 0xfa, 0xd2, 0x9a, 0xb4, 0xf9, 0xe4, 0x3c, 0xe3, 0x78, 0xc8, 0x72, 0xff, 0x91, 0x66, + /* (2^109)P */ 0x3e, 0xff, 0x5e, 0xdc, 0xde, 0x2a, 0x2c, 0x12, 0xf4, 0x6c, 0x95, 0xd8, 0xf1, 0x4b, 0xdd, 0xf8, 0xda, 0x5b, 0x9e, 0x9e, 0x5d, 0x20, 0x86, 0xeb, 0x43, 0xc7, 0x75, 0xd9, 0xb9, 0x92, 0x9b, 0x04, + /* (2^110)P */ 0x5a, 0xc0, 0xf6, 0xb0, 0x30, 0x97, 0x37, 0xa5, 0x53, 0xa5, 0xf3, 0xc6, 0xac, 0xff, 0xa0, 0x72, 0x6d, 0xcd, 0x0d, 0xb2, 0x34, 0x2c, 0x03, 0xb0, 0x4a, 0x16, 0xd5, 0x88, 0xbc, 0x9d, 0x0e, 0x47, + /* (2^111)P */ 0x47, 0xc0, 0x37, 0xa2, 0x0c, 0xf1, 0x9c, 0xb1, 0xa2, 0x81, 0x6c, 0x1f, 0x71, 0x66, 0x54, 0xb6, 0x43, 0x0b, 0xd8, 0x6d, 0xd1, 0x1b, 0x32, 0xb3, 0x8e, 0xbe, 0x5f, 0x0c, 0x60, 0x4f, 0xc1, 0x48, + /* (2^112)P */ 0x03, 0xc8, 0xa6, 0x4a, 0x26, 0x1c, 0x45, 0x66, 0xa6, 0x7d, 0xfa, 0xa4, 0x04, 0x39, 0x6e, 0xb6, 0x95, 0x83, 0x12, 0xb3, 0xb0, 0x19, 0x5f, 0xd4, 0x10, 0xbc, 0xc9, 0xc3, 0x27, 0x26, 0x60, 0x31, + /* (2^113)P */ 0x0d, 0xe1, 0xe4, 0x32, 0x48, 0xdc, 0x20, 0x31, 0xf7, 0x17, 0xc7, 0x56, 0x67, 0xc4, 0x20, 0xeb, 0x94, 0x02, 0x28, 0x67, 0x3f, 0x2e, 0xf5, 0x00, 0x09, 0xc5, 0x30, 0x47, 0xc1, 0x4f, 0x6d, 0x56, + /* (2^114)P */ 0x06, 0x72, 0x83, 0xfd, 0x40, 0x5d, 0x3a, 0x7e, 0x7a, 0x54, 0x59, 0x71, 0xdc, 0x26, 0xe9, 0xc1, 0x95, 0x60, 0x8d, 0xa6, 0xfb, 0x30, 0x67, 0x21, 0xa7, 0xce, 0x69, 0x3f, 0x84, 0xc3, 0xe8, 0x22, + /* (2^115)P */ 0x2b, 0x4b, 0x0e, 0x93, 0xe8, 0x74, 0xd0, 0x33, 0x16, 0x58, 0xd1, 0x84, 0x0e, 0x35, 0xe4, 0xb6, 0x65, 0x23, 0xba, 0xd6, 0x6a, 0xc2, 0x34, 0x55, 0xf3, 0xf3, 0xf1, 0x89, 0x2f, 0xc1, 0x73, 0x77, + /* (2^116)P */ 0xaa, 0x62, 0x79, 0xa5, 0x4d, 0x40, 0xba, 0x8c, 0x56, 0xce, 0x99, 0x19, 0xa8, 0x97, 0x98, 0x5b, 0xfc, 0x92, 0x16, 0x12, 0x2f, 0x86, 0x8e, 0x50, 0x91, 0xc2, 0x93, 0xa0, 0x7f, 0x90, 0x81, 0x3a, + /* (2^117)P */ 0x10, 0xa5, 0x25, 0x47, 0xff, 0xd0, 0xde, 0x0d, 0x03, 0xc5, 0x3f, 0x67, 0x10, 0xcc, 0xd8, 0x10, 0x89, 0x4e, 0x1f, 0x9f, 0x1c, 0x15, 0x9d, 0x5b, 0x4c, 0xa4, 0x09, 0xcb, 0xd5, 0xc1, 0xa5, 0x32, + /* (2^118)P */ 0xfb, 0x41, 0x05, 0xb9, 0x42, 0xa4, 0x0a, 0x1e, 0xdb, 0x85, 0xb4, 0xc1, 0x7c, 0xeb, 0x85, 0x5f, 0xe5, 0xf2, 0x9d, 0x8a, 0xce, 0x95, 0xe5, 0xbe, 0x36, 0x22, 0x42, 0x22, 0xc7, 0x96, 0xe4, 0x25, + /* (2^119)P */ 0xb9, 0xe5, 0x0f, 0xcd, 0x46, 0x3c, 0xdf, 0x5e, 0x88, 0x33, 0xa4, 0xd2, 0x7e, 0x5a, 0xe7, 0x34, 0x52, 0xe3, 0x61, 0xd7, 0x11, 0xde, 0x88, 0xe4, 0x5c, 0x54, 0x85, 0xa0, 0x01, 0x8a, 0x87, 0x0e, + /* (2^120)P */ 0x04, 0xbb, 0x21, 0xe0, 0x77, 0x3c, 0x49, 0xba, 0x9a, 0x89, 0xdf, 0xc7, 0x43, 0x18, 0x4d, 0x2b, 0x67, 0x0d, 0xe8, 0x7a, 0x48, 0x7a, 0xa3, 0x9e, 0x94, 0x17, 0xe4, 0x11, 0x80, 0x95, 0xa9, 0x67, + /* (2^121)P */ 0x65, 0xb0, 0x97, 0x66, 0x1a, 0x05, 0x58, 0x4b, 0xd4, 0xa6, 0x6b, 0x8d, 0x7d, 0x3f, 0xe3, 0x47, 0xc1, 0x46, 0xca, 0x83, 0xd4, 0xa8, 0x4d, 0xbb, 0x0d, 0xdb, 0xc2, 0x81, 0xa1, 0xca, 0xbe, 0x68, + /* (2^122)P */ 0xa5, 0x9a, 0x98, 0x0b, 0xe9, 0x80, 0x89, 0x8d, 0x9b, 0xc9, 0x93, 0x2c, 0x4a, 0xb1, 0x5e, 0xf9, 0xa2, 0x73, 0x6e, 0x79, 0xc4, 0xc7, 0xc6, 0x51, 0x69, 0xb5, 0xef, 0xb5, 0x63, 0x83, 0x22, 0x6e, + /* (2^123)P */ 0xc8, 0x24, 0xd6, 0x2d, 0xb0, 0xc0, 0xbb, 0xc6, 0xee, 0x70, 0x81, 0xec, 0x7d, 0xb4, 0x7e, 0x77, 0xa9, 0xaf, 0xcf, 0x04, 0xa0, 0x15, 0xde, 0x3c, 0x9b, 0xbf, 0x60, 0x71, 0x08, 0xbc, 0xc6, 0x1d, + /* (2^124)P */ 0x02, 0x40, 0xc3, 0xee, 0x43, 0xe0, 0x07, 0x2e, 0x7f, 0xdc, 0x68, 0x7a, 0x67, 0xfc, 0xe9, 0x18, 0x9a, 0x5b, 0xd1, 0x8b, 0x18, 0x03, 0xda, 0xd8, 0x53, 0x82, 0x56, 0x00, 0xbb, 0xc3, 0xfb, 0x48, + /* (2^125)P */ 0xe1, 0x4c, 0x65, 0xfb, 0x4c, 0x7d, 0x54, 0x57, 0xad, 0xe2, 0x58, 0xa0, 0x82, 0x5b, 0x56, 0xd3, 0x78, 0x44, 0x15, 0xbf, 0x0b, 0xaf, 0x3e, 0xf6, 0x18, 0xbb, 0xdf, 0x14, 0xf1, 0x1e, 0x53, 0x47, + /* (2^126)P */ 0x87, 0xc5, 0x78, 0x42, 0x0a, 0x63, 0xec, 0xe1, 0xf3, 0x83, 0x8e, 0xca, 0x46, 0xd5, 0x07, 0x55, 0x2b, 0x0c, 0xdc, 0x3a, 0xc6, 0x35, 0xe1, 0x85, 0x4e, 0x84, 0x82, 0x56, 0xa8, 0xef, 0xa7, 0x0a, + /* (2^127)P */ 0x15, 0xf6, 0xe1, 0xb3, 0xa8, 0x1b, 0x69, 0x72, 0xfa, 0x3f, 0xbe, 0x1f, 0x70, 0xe9, 0xb4, 0x32, 0x68, 0x78, 0xbb, 0x39, 0x2e, 0xd9, 0xb6, 0x97, 0xe8, 0x39, 0x2e, 0xa0, 0xde, 0x53, 0xfe, 0x2c, + /* (2^128)P */ 0xb0, 0x52, 0xcd, 0x85, 0xcd, 0x92, 0x73, 0x68, 0x31, 0x98, 0xe2, 0x10, 0xc9, 0x66, 0xff, 0x27, 0x06, 0x2d, 0x83, 0xa9, 0x56, 0x45, 0x13, 0x97, 0xa0, 0xf8, 0x84, 0x0a, 0x36, 0xb0, 0x9b, 0x26, + /* (2^129)P */ 0x5c, 0xf8, 0x43, 0x76, 0x45, 0x55, 0x6e, 0x70, 0x1b, 0x7d, 0x59, 0x9b, 0x8c, 0xa4, 0x34, 0x37, 0x72, 0xa4, 0xef, 0xc6, 0xe8, 0x91, 0xee, 0x7a, 0xe0, 0xd9, 0xa9, 0x98, 0xc1, 0xab, 0xd6, 0x5c, + /* (2^130)P */ 0x1a, 0xe4, 0x3c, 0xcb, 0x06, 0xde, 0x04, 0x0e, 0x38, 0xe1, 0x02, 0x34, 0x89, 0xeb, 0xc6, 0xd8, 0x72, 0x37, 0x6e, 0x68, 0xbb, 0x59, 0x46, 0x90, 0xc8, 0xa8, 0x6b, 0x74, 0x71, 0xc3, 0x15, 0x72, + /* (2^131)P */ 0xd9, 0xa2, 0xe4, 0xea, 0x7e, 0xa9, 0x12, 0xfd, 0xc5, 0xf2, 0x94, 0x63, 0x51, 0xb7, 0x14, 0x95, 0x94, 0xf2, 0x08, 0x92, 0x80, 0xd5, 0x6f, 0x26, 0xb9, 0x26, 0x9a, 0x61, 0x85, 0x70, 0x84, 0x5c, + /* (2^132)P */ 0xea, 0x94, 0xd6, 0xfe, 0x10, 0x54, 0x98, 0x52, 0x54, 0xd2, 0x2e, 0x4a, 0x93, 0x5b, 0x90, 0x3c, 0x67, 0xe4, 0x3b, 0x2d, 0x69, 0x47, 0xbb, 0x10, 0xe1, 0xe9, 0xe5, 0x69, 0x2d, 0x3d, 0x3b, 0x06, + /* (2^133)P */ 0xeb, 0x7d, 0xa5, 0xdd, 0xee, 0x26, 0x27, 0x47, 0x91, 0x18, 0xf4, 0x10, 0xae, 0xc4, 0xb6, 0xef, 0x14, 0x76, 0x30, 0x7b, 0x91, 0x41, 0x16, 0x2b, 0x7c, 0x5b, 0xf4, 0xc4, 0x4f, 0x55, 0x7c, 0x11, + /* (2^134)P */ 0x12, 0x88, 0x9d, 0x8f, 0x11, 0xf3, 0x7c, 0xc0, 0x39, 0x79, 0x01, 0x50, 0x20, 0xd8, 0xdb, 0x01, 0x27, 0x28, 0x1b, 0x17, 0xf4, 0x03, 0xe8, 0xd7, 0xea, 0x25, 0xd2, 0x87, 0x74, 0xe8, 0x15, 0x10, + /* (2^135)P */ 0x4d, 0xcc, 0x3a, 0xd2, 0xfe, 0xe3, 0x8d, 0xc5, 0x2d, 0xbe, 0xa7, 0x94, 0xc2, 0x91, 0xdb, 0x50, 0x57, 0xf4, 0x9c, 0x1c, 0x3d, 0xd4, 0x94, 0x0b, 0x4a, 0x52, 0x37, 0x6e, 0xfa, 0x40, 0x16, 0x6b, + /* (2^136)P */ 0x09, 0x0d, 0xda, 0x5f, 0x6c, 0x34, 0x2f, 0x69, 0x51, 0x31, 0x4d, 0xfa, 0x59, 0x1c, 0x0b, 0x20, 0x96, 0xa2, 0x77, 0x07, 0x76, 0x6f, 0xc4, 0xb8, 0xcf, 0xfb, 0xfd, 0x3f, 0x5f, 0x39, 0x38, 0x4b, + /* (2^137)P */ 0x71, 0xd6, 0x54, 0xbe, 0x00, 0x5e, 0xd2, 0x18, 0xa6, 0xab, 0xc8, 0xbe, 0x82, 0x05, 0xd5, 0x60, 0x82, 0xb9, 0x78, 0x3b, 0x26, 0x8f, 0xad, 0x87, 0x32, 0x04, 0xda, 0x9c, 0x4e, 0xf6, 0xfd, 0x50, + /* (2^138)P */ 0xf0, 0xdc, 0x78, 0xc5, 0xaa, 0x67, 0xf5, 0x90, 0x3b, 0x13, 0xa3, 0xf2, 0x0e, 0x9b, 0x1e, 0xef, 0x71, 0xde, 0xd9, 0x42, 0x92, 0xba, 0xeb, 0x0e, 0xc7, 0x01, 0x31, 0xf0, 0x9b, 0x3c, 0x47, 0x15, + /* (2^139)P */ 0x95, 0x80, 0xb7, 0x56, 0xae, 0xe8, 0x77, 0x7c, 0x8e, 0x07, 0x6f, 0x6e, 0x66, 0xe7, 0x78, 0xb6, 0x1f, 0xba, 0x48, 0x53, 0x61, 0xb9, 0xa0, 0x2d, 0x0b, 0x3f, 0x73, 0xff, 0xc1, 0x31, 0xf9, 0x7c, + /* (2^140)P */ 0x6c, 0x36, 0x0a, 0x0a, 0xf5, 0x57, 0xb3, 0x26, 0x32, 0xd7, 0x87, 0x2b, 0xf4, 0x8c, 0x70, 0xe9, 0xc0, 0xb2, 0x1c, 0xf9, 0xa5, 0xee, 0x3a, 0xc1, 0x4c, 0xbb, 0x43, 0x11, 0x99, 0x0c, 0xd9, 0x35, + /* (2^141)P */ 0xdc, 0xd9, 0xa0, 0xa9, 0x04, 0xc4, 0xc1, 0x47, 0x51, 0xd2, 0x72, 0x19, 0x45, 0x58, 0x9e, 0x65, 0x31, 0x8c, 0xb3, 0x73, 0xc4, 0xa8, 0x75, 0x38, 0x24, 0x1f, 0x56, 0x79, 0xd3, 0x9e, 0xbd, 0x1f, + /* (2^142)P */ 0x8d, 0xc2, 0x1e, 0xd4, 0x6f, 0xbc, 0xfa, 0x11, 0xca, 0x2d, 0x2a, 0xcd, 0xe3, 0xdf, 0xf8, 0x7e, 0x95, 0x45, 0x40, 0x8c, 0x5d, 0x3b, 0xe7, 0x72, 0x27, 0x2f, 0xb7, 0x54, 0x49, 0xfa, 0x35, 0x61, + /* (2^143)P */ 0x9c, 0xb6, 0x24, 0xde, 0xa2, 0x32, 0xfc, 0xcc, 0x88, 0x5d, 0x09, 0x1f, 0x8c, 0x69, 0x55, 0x3f, 0x29, 0xf9, 0xc3, 0x5a, 0xed, 0x50, 0x33, 0xbe, 0xeb, 0x7e, 0x47, 0xca, 0x06, 0xf8, 0x9b, 0x5e, + /* (2^144)P */ 0x68, 0x9f, 0x30, 0x3c, 0xb6, 0x8f, 0xce, 0xe9, 0xf4, 0xf9, 0xe1, 0x65, 0x35, 0xf6, 0x76, 0x53, 0xf1, 0x93, 0x63, 0x5a, 0xb3, 0xcf, 0xaf, 0xd1, 0x06, 0x35, 0x62, 0xe5, 0xed, 0xa1, 0x32, 0x66, + /* (2^145)P */ 0x4c, 0xed, 0x2d, 0x0c, 0x39, 0x6c, 0x7d, 0x0b, 0x1f, 0xcb, 0x04, 0xdf, 0x81, 0x32, 0xcb, 0x56, 0xc7, 0xc3, 0xec, 0x49, 0x12, 0x5a, 0x30, 0x66, 0x2a, 0xa7, 0x8c, 0xa3, 0x60, 0x8b, 0x58, 0x5d, + /* (2^146)P */ 0x2d, 0xf4, 0xe5, 0xe8, 0x78, 0xbf, 0xec, 0xa6, 0xec, 0x3e, 0x8a, 0x3c, 0x4b, 0xb4, 0xee, 0x86, 0x04, 0x16, 0xd2, 0xfb, 0x48, 0x9c, 0x21, 0xec, 0x31, 0x67, 0xc3, 0x17, 0xf5, 0x1a, 0xaf, 0x1a, + /* (2^147)P */ 0xe7, 0xbd, 0x69, 0x67, 0x83, 0xa2, 0x06, 0xc3, 0xdb, 0x2a, 0x1e, 0x2b, 0x62, 0x80, 0x82, 0x20, 0xa6, 0x94, 0xff, 0xfb, 0x1f, 0xf5, 0x27, 0x80, 0x6b, 0xf2, 0x24, 0x11, 0xce, 0xa1, 0xcf, 0x76, + /* (2^148)P */ 0xb6, 0xab, 0x22, 0x24, 0x56, 0x00, 0xeb, 0x18, 0xc3, 0x29, 0x8c, 0x8f, 0xd5, 0xc4, 0x77, 0xf3, 0x1a, 0x56, 0x31, 0xf5, 0x07, 0xc2, 0xbb, 0x4d, 0x27, 0x8a, 0x12, 0x82, 0xf0, 0xb7, 0x53, 0x02, + /* (2^149)P */ 0xe0, 0x17, 0x2c, 0xb6, 0x1c, 0x09, 0x1f, 0x3d, 0xa9, 0x28, 0x46, 0xd6, 0xab, 0xe1, 0x60, 0x48, 0x53, 0x42, 0x9d, 0x30, 0x36, 0x74, 0xd1, 0x52, 0x76, 0xe5, 0xfa, 0x3e, 0xe1, 0x97, 0x6f, 0x35, + /* (2^150)P */ 0x5b, 0x53, 0x50, 0xa1, 0x1a, 0xe1, 0x51, 0xd3, 0xcc, 0x78, 0xd8, 0x1d, 0xbb, 0x45, 0x6b, 0x3e, 0x98, 0x2c, 0xd9, 0xbe, 0x28, 0x61, 0x77, 0x0c, 0xb8, 0x85, 0x28, 0x03, 0x93, 0xae, 0x34, 0x1d, + /* (2^151)P */ 0xc3, 0xa4, 0x5b, 0xa8, 0x8c, 0x48, 0xa0, 0x4b, 0xce, 0xe6, 0x9c, 0x3c, 0xc3, 0x48, 0x53, 0x98, 0x70, 0xa7, 0xbd, 0x97, 0x6f, 0x4c, 0x12, 0x66, 0x4a, 0x12, 0x54, 0x06, 0x29, 0xa0, 0x81, 0x0f, + /* (2^152)P */ 0xfd, 0x86, 0x9b, 0x56, 0xa6, 0x9c, 0xd0, 0x9e, 0x2d, 0x9a, 0xaf, 0x18, 0xfd, 0x09, 0x10, 0x81, 0x0a, 0xc2, 0xd8, 0x93, 0x3f, 0xd0, 0x08, 0xff, 0x6b, 0xf2, 0xae, 0x9f, 0x19, 0x48, 0xa1, 0x52, + /* (2^153)P */ 0x73, 0x1b, 0x8d, 0x2d, 0xdc, 0xf9, 0x03, 0x3e, 0x70, 0x1a, 0x96, 0x73, 0x18, 0x80, 0x05, 0x42, 0x70, 0x59, 0xa3, 0x41, 0xf0, 0x87, 0xd9, 0xc0, 0x49, 0xd5, 0xc0, 0xa1, 0x15, 0x1f, 0xaa, 0x07, + /* (2^154)P */ 0x24, 0x72, 0xd2, 0x8c, 0xe0, 0x6c, 0xd4, 0xdf, 0x39, 0x42, 0x4e, 0x93, 0x4f, 0x02, 0x0a, 0x6d, 0x59, 0x7b, 0x89, 0x99, 0x63, 0x7a, 0x8a, 0x80, 0xa2, 0x95, 0x3d, 0xe1, 0xe9, 0x56, 0x45, 0x0a, + /* (2^155)P */ 0x45, 0x30, 0xc1, 0xe9, 0x1f, 0x99, 0x1a, 0xd2, 0xb8, 0x51, 0x77, 0xfe, 0x48, 0x85, 0x0e, 0x9b, 0x35, 0x00, 0xf3, 0x4b, 0xcb, 0x43, 0xa6, 0x5d, 0x21, 0xf7, 0x40, 0x39, 0xd6, 0x28, 0xdb, 0x77, + /* (2^156)P */ 0x11, 0x90, 0xdc, 0x4a, 0x61, 0xeb, 0x5e, 0xfc, 0xeb, 0x11, 0xc4, 0xe8, 0x9a, 0x41, 0x29, 0x52, 0x74, 0xcf, 0x1d, 0x7d, 0x78, 0xe7, 0xc3, 0x9e, 0xb5, 0x4c, 0x6e, 0x21, 0x3e, 0x05, 0x0d, 0x34, + /* (2^157)P */ 0xb4, 0xf2, 0x8d, 0xb4, 0x39, 0xaf, 0xc7, 0xca, 0x94, 0x0a, 0xa1, 0x71, 0x28, 0xec, 0xfa, 0xc0, 0xed, 0x75, 0xa5, 0x5c, 0x24, 0x69, 0x0a, 0x14, 0x4c, 0x3a, 0x27, 0x34, 0x71, 0xc3, 0xf1, 0x0c, + /* (2^158)P */ 0xa5, 0xb8, 0x24, 0xc2, 0x6a, 0x30, 0xee, 0xc8, 0xb0, 0x30, 0x49, 0xcb, 0x7c, 0xee, 0xea, 0x57, 0x4f, 0xe7, 0xcb, 0xaa, 0xbd, 0x06, 0xe8, 0xa1, 0x7d, 0x65, 0xeb, 0x2e, 0x74, 0x62, 0x9a, 0x7d, + /* (2^159)P */ 0x30, 0x48, 0x6c, 0x54, 0xef, 0xb6, 0xb6, 0x9e, 0x2e, 0x6e, 0xb3, 0xdd, 0x1f, 0xca, 0x5c, 0x88, 0x05, 0x71, 0x0d, 0xef, 0x83, 0xf3, 0xb9, 0xe6, 0x12, 0x04, 0x2e, 0x9d, 0xef, 0x4f, 0x65, 0x58, + /* (2^160)P */ 0x26, 0x8e, 0x0e, 0xbe, 0xff, 0xc4, 0x05, 0xa9, 0x6e, 0x81, 0x31, 0x9b, 0xdf, 0xe5, 0x2d, 0x94, 0xe1, 0x88, 0x2e, 0x80, 0x3f, 0x72, 0x7d, 0x49, 0x8d, 0x40, 0x2f, 0x60, 0xea, 0x4d, 0x68, 0x30, + /* (2^161)P */ 0x34, 0xcb, 0xe6, 0xa3, 0x78, 0xa2, 0xe5, 0x21, 0xc4, 0x1d, 0x15, 0x5b, 0x6f, 0x6e, 0xfb, 0xae, 0x15, 0xca, 0x77, 0x9d, 0x04, 0x8e, 0x0b, 0xb3, 0x81, 0x89, 0xb9, 0x53, 0xcf, 0xc9, 0xc3, 0x28, + /* (2^162)P */ 0x2a, 0xdd, 0x6c, 0x55, 0x21, 0xb7, 0x7f, 0x28, 0x74, 0x22, 0x02, 0x97, 0xa8, 0x7c, 0x31, 0x0d, 0x58, 0x32, 0x54, 0x3a, 0x42, 0xc7, 0x68, 0x74, 0x2f, 0x64, 0xb5, 0x4e, 0x46, 0x11, 0x7f, 0x4a, + /* (2^163)P */ 0xa6, 0x3a, 0x19, 0x4d, 0x77, 0xa4, 0x37, 0xa2, 0xa1, 0x29, 0x21, 0xa9, 0x6e, 0x98, 0x65, 0xd8, 0x88, 0x1a, 0x7c, 0xf8, 0xec, 0x15, 0xc5, 0x24, 0xeb, 0xf5, 0x39, 0x5f, 0x57, 0x03, 0x40, 0x60, + /* (2^164)P */ 0x27, 0x9b, 0x0a, 0x57, 0x89, 0xf1, 0xb9, 0x47, 0x78, 0x4b, 0x5e, 0x46, 0xde, 0xce, 0x98, 0x2b, 0x20, 0x5c, 0xb8, 0xdb, 0x51, 0xf5, 0x6d, 0x02, 0x01, 0x19, 0xe2, 0x47, 0x10, 0xd9, 0xfc, 0x74, + /* (2^165)P */ 0xa3, 0xbf, 0xc1, 0x23, 0x0a, 0xa9, 0xe2, 0x13, 0xf6, 0x19, 0x85, 0x47, 0x4e, 0x07, 0xb0, 0x0c, 0x44, 0xcf, 0xf6, 0x3a, 0xbe, 0xcb, 0xf1, 0x5f, 0xbe, 0x2d, 0x81, 0xbe, 0x38, 0x54, 0xfe, 0x67, + /* (2^166)P */ 0xb0, 0x05, 0x0f, 0xa4, 0x4f, 0xf6, 0x3c, 0xd1, 0x87, 0x37, 0x28, 0x32, 0x2f, 0xfb, 0x4d, 0x05, 0xea, 0x2a, 0x0d, 0x7f, 0x5b, 0x91, 0x73, 0x41, 0x4e, 0x0d, 0x61, 0x1f, 0x4f, 0x14, 0x2f, 0x48, + /* (2^167)P */ 0x34, 0x82, 0x7f, 0xb4, 0x01, 0x02, 0x21, 0xf6, 0x90, 0xb9, 0x70, 0x9e, 0x92, 0xe1, 0x0a, 0x5d, 0x7c, 0x56, 0x49, 0xb0, 0x55, 0xf4, 0xd7, 0xdc, 0x01, 0x6f, 0x91, 0xf0, 0xf1, 0xd0, 0x93, 0x7e, + /* (2^168)P */ 0xfa, 0xb4, 0x7d, 0x8a, 0xf1, 0xcb, 0x79, 0xdd, 0x2f, 0xc6, 0x74, 0x6f, 0xbf, 0x91, 0x83, 0xbe, 0xbd, 0x91, 0x82, 0x4b, 0xd1, 0x45, 0x71, 0x02, 0x05, 0x17, 0xbf, 0x2c, 0xea, 0x73, 0x5a, 0x58, + /* (2^169)P */ 0xb2, 0x0d, 0x8a, 0x92, 0x3e, 0xa0, 0x5c, 0x48, 0xe7, 0x57, 0x28, 0x74, 0xa5, 0x01, 0xfc, 0x10, 0xa7, 0x51, 0xd5, 0xd6, 0xdb, 0x2e, 0x48, 0x2f, 0x8a, 0xdb, 0x8f, 0x04, 0xb5, 0x33, 0x04, 0x0f, + /* (2^170)P */ 0x47, 0x62, 0xdc, 0xd7, 0x8d, 0x2e, 0xda, 0x60, 0x9a, 0x81, 0xd4, 0x8c, 0xd3, 0xc9, 0xb4, 0x88, 0x97, 0x66, 0xf6, 0x01, 0xc0, 0x3a, 0x03, 0x13, 0x75, 0x7d, 0x36, 0x3b, 0xfe, 0x24, 0x3b, 0x27, + /* (2^171)P */ 0xd4, 0xb9, 0xb3, 0x31, 0x6a, 0xf6, 0xe8, 0xc6, 0xd5, 0x49, 0xdf, 0x94, 0xa4, 0x14, 0x15, 0x28, 0xa7, 0x3d, 0xb2, 0xc8, 0xdf, 0x6f, 0x72, 0xd1, 0x48, 0xe5, 0xde, 0x03, 0xd1, 0xe7, 0x3a, 0x4b, + /* (2^172)P */ 0x7e, 0x9d, 0x4b, 0xce, 0x19, 0x6e, 0x25, 0xc6, 0x1c, 0xc6, 0xe3, 0x86, 0xf1, 0x5c, 0x5c, 0xff, 0x45, 0xc1, 0x8e, 0x4b, 0xa3, 0x3c, 0xc6, 0xac, 0x74, 0x65, 0xe6, 0xfe, 0x88, 0x18, 0x62, 0x74, + /* (2^173)P */ 0x1e, 0x0a, 0x29, 0x45, 0x96, 0x40, 0x6f, 0x95, 0x2e, 0x96, 0x3a, 0x26, 0xe3, 0xf8, 0x0b, 0xef, 0x7b, 0x64, 0xc2, 0x5e, 0xeb, 0x50, 0x6a, 0xed, 0x02, 0x75, 0xca, 0x9d, 0x3a, 0x28, 0x94, 0x06, + /* (2^174)P */ 0xd1, 0xdc, 0xa2, 0x43, 0x36, 0x96, 0x9b, 0x76, 0x53, 0x53, 0xfc, 0x09, 0xea, 0xc8, 0xb7, 0x42, 0xab, 0x7e, 0x39, 0x13, 0xee, 0x2a, 0x00, 0x4f, 0x3a, 0xd6, 0xb7, 0x19, 0x2c, 0x5e, 0x00, 0x63, + /* (2^175)P */ 0xea, 0x3b, 0x02, 0x63, 0xda, 0x36, 0x67, 0xca, 0xb7, 0x99, 0x2a, 0xb1, 0x6d, 0x7f, 0x6c, 0x96, 0xe1, 0xc5, 0x37, 0xc5, 0x90, 0x93, 0xe0, 0xac, 0xee, 0x89, 0xaa, 0xa1, 0x63, 0x60, 0x69, 0x0b, + /* (2^176)P */ 0xe5, 0x56, 0x8c, 0x28, 0x97, 0x3e, 0xb0, 0xeb, 0xe8, 0x8b, 0x8c, 0x93, 0x9f, 0x9f, 0x2a, 0x43, 0x71, 0x7f, 0x71, 0x5b, 0x3d, 0xa9, 0xa5, 0xa6, 0x97, 0x9d, 0x8f, 0xe1, 0xc3, 0xb4, 0x5f, 0x1a, + /* (2^177)P */ 0xce, 0xcd, 0x60, 0x1c, 0xad, 0xe7, 0x94, 0x1c, 0xa0, 0xc4, 0x02, 0xfc, 0x43, 0x2a, 0x20, 0xee, 0x20, 0x6a, 0xc4, 0x67, 0xd8, 0xe4, 0xaf, 0x8d, 0x58, 0x7b, 0xc2, 0x8a, 0x3c, 0x26, 0x10, 0x0a, + /* (2^178)P */ 0x4a, 0x2a, 0x43, 0xe4, 0xdf, 0xa9, 0xde, 0xd0, 0xc5, 0x77, 0x92, 0xbe, 0x7b, 0xf8, 0x6a, 0x85, 0x1a, 0xc7, 0x12, 0xc2, 0xac, 0x72, 0x84, 0xce, 0x91, 0x1e, 0xbb, 0x9b, 0x6d, 0x1b, 0x15, 0x6f, + /* (2^179)P */ 0x6a, 0xd5, 0xee, 0x7c, 0x52, 0x6c, 0x77, 0x26, 0xec, 0xfa, 0xf8, 0xfb, 0xb7, 0x1c, 0x21, 0x7d, 0xcc, 0x09, 0x46, 0xfd, 0xa6, 0x66, 0xae, 0x37, 0x42, 0x0c, 0x77, 0xd2, 0x02, 0xb7, 0x81, 0x1f, + /* (2^180)P */ 0x92, 0x83, 0xc5, 0xea, 0x57, 0xb0, 0xb0, 0x2f, 0x9d, 0x4e, 0x74, 0x29, 0xfe, 0x89, 0xdd, 0xe1, 0xf8, 0xb4, 0xbe, 0x17, 0xeb, 0xf8, 0x64, 0xc9, 0x1e, 0xd4, 0xa2, 0xc9, 0x73, 0x10, 0x57, 0x29, + /* (2^181)P */ 0x54, 0xe2, 0xc0, 0x81, 0x89, 0xa1, 0x48, 0xa9, 0x30, 0x28, 0xb2, 0x65, 0x9b, 0x36, 0xf6, 0x2d, 0xc6, 0xd3, 0xcf, 0x5f, 0xd7, 0xb2, 0x3e, 0xa3, 0x1f, 0xa0, 0x99, 0x41, 0xec, 0xd6, 0x8c, 0x07, + /* (2^182)P */ 0x2f, 0x0d, 0x90, 0xad, 0x41, 0x4a, 0x58, 0x4a, 0x52, 0x4c, 0xc7, 0xe2, 0x78, 0x2b, 0x14, 0x32, 0x78, 0xc9, 0x31, 0x84, 0x33, 0xe8, 0xc4, 0x68, 0xc2, 0x9f, 0x68, 0x08, 0x90, 0xea, 0x69, 0x7f, + /* (2^183)P */ 0x65, 0x82, 0xa3, 0x46, 0x1e, 0xc8, 0xf2, 0x52, 0xfd, 0x32, 0xa8, 0x04, 0x2d, 0x07, 0x78, 0xfd, 0x94, 0x9e, 0x35, 0x25, 0xfa, 0xd5, 0xd7, 0x8c, 0xd2, 0x29, 0xcc, 0x54, 0x74, 0x1b, 0xe7, 0x4d, + /* (2^184)P */ 0xc9, 0x6a, 0xda, 0x1e, 0xad, 0x60, 0xeb, 0x42, 0x3a, 0x9c, 0xc0, 0xdb, 0xdf, 0x37, 0xad, 0x0a, 0x91, 0xc1, 0x3c, 0xe3, 0x71, 0x4b, 0x00, 0x81, 0x3c, 0x80, 0x22, 0x51, 0x34, 0xbe, 0xe6, 0x44, + /* (2^185)P */ 0xdb, 0x20, 0x19, 0xba, 0x88, 0x83, 0xfe, 0x03, 0x08, 0xb0, 0x0d, 0x15, 0x32, 0x7c, 0xd5, 0xf5, 0x29, 0x0c, 0xf6, 0x1a, 0x28, 0xc4, 0xc8, 0x49, 0xee, 0x1a, 0x70, 0xde, 0x18, 0xb5, 0xed, 0x21, + /* (2^186)P */ 0x99, 0xdc, 0x06, 0x8f, 0x41, 0x3e, 0xb6, 0x7f, 0xb8, 0xd7, 0x66, 0xc1, 0x99, 0x0d, 0x46, 0xa4, 0x83, 0x0a, 0x52, 0xce, 0x48, 0x52, 0xdd, 0x24, 0x58, 0x83, 0x92, 0x2b, 0x71, 0xad, 0xc3, 0x5e, + /* (2^187)P */ 0x0f, 0x93, 0x17, 0xbd, 0x5f, 0x2a, 0x02, 0x15, 0xe3, 0x70, 0x25, 0xd8, 0x77, 0x4a, 0xf6, 0xa4, 0x12, 0x37, 0x78, 0x15, 0x69, 0x8d, 0xbc, 0x12, 0xbb, 0x0a, 0x62, 0xfc, 0xc0, 0x94, 0x81, 0x49, + /* (2^188)P */ 0x82, 0x6c, 0x68, 0x55, 0xd2, 0xd9, 0xa2, 0x38, 0xf0, 0x21, 0x3e, 0x19, 0xd9, 0x6b, 0x5c, 0x78, 0x84, 0x54, 0x4a, 0xb2, 0x1a, 0xc8, 0xd5, 0xe4, 0x89, 0x09, 0xe2, 0xb2, 0x60, 0x78, 0x30, 0x56, + /* (2^189)P */ 0xc4, 0x74, 0x4d, 0x8b, 0xf7, 0x55, 0x9d, 0x42, 0x31, 0x01, 0x35, 0x43, 0x46, 0x83, 0xf1, 0x22, 0xff, 0x1f, 0xc7, 0x98, 0x45, 0xc2, 0x60, 0x1e, 0xef, 0x83, 0x99, 0x97, 0x14, 0xf0, 0xf2, 0x59, + /* (2^190)P */ 0x44, 0x4a, 0x49, 0xeb, 0x56, 0x7d, 0xa4, 0x46, 0x8e, 0xa1, 0x36, 0xd6, 0x54, 0xa8, 0x22, 0x3e, 0x3b, 0x1c, 0x49, 0x74, 0x52, 0xe1, 0x46, 0xb3, 0xe7, 0xcd, 0x90, 0x53, 0x4e, 0xfd, 0xea, 0x2c, + /* (2^191)P */ 0x75, 0x66, 0x0d, 0xbe, 0x38, 0x85, 0x8a, 0xba, 0x23, 0x8e, 0x81, 0x50, 0xbb, 0x74, 0x90, 0x4b, 0xc3, 0x04, 0xd3, 0x85, 0x90, 0xb8, 0xda, 0xcb, 0xc4, 0x92, 0x61, 0xe5, 0xe0, 0x4f, 0xa2, 0x61, + /* (2^192)P */ 0xcb, 0x5b, 0x52, 0xdb, 0xe6, 0x15, 0x76, 0xcb, 0xca, 0xe4, 0x67, 0xa5, 0x35, 0x8c, 0x7d, 0xdd, 0x69, 0xdd, 0xfc, 0xca, 0x3a, 0x15, 0xb4, 0xe6, 0x66, 0x97, 0x3c, 0x7f, 0x09, 0x8e, 0x66, 0x2d, + /* (2^193)P */ 0xf0, 0x5e, 0xe5, 0x5c, 0x26, 0x7e, 0x7e, 0xa5, 0x67, 0xb9, 0xd4, 0x7c, 0x52, 0x4e, 0x9f, 0x5d, 0xe5, 0xd1, 0x2f, 0x49, 0x06, 0x36, 0xc8, 0xfb, 0xae, 0xf7, 0xc3, 0xb7, 0xbe, 0x52, 0x0d, 0x09, + /* (2^194)P */ 0x7c, 0x4d, 0x7b, 0x1e, 0x5a, 0x51, 0xb9, 0x09, 0xc0, 0x44, 0xda, 0x99, 0x25, 0x6a, 0x26, 0x1f, 0x04, 0x55, 0xc5, 0xe2, 0x48, 0x95, 0xc4, 0xa1, 0xcc, 0x15, 0x6f, 0x12, 0x87, 0x42, 0xf0, 0x7e, + /* (2^195)P */ 0x15, 0xef, 0x30, 0xbd, 0x9d, 0x65, 0xd1, 0xfe, 0x7b, 0x27, 0xe0, 0xc4, 0xee, 0xb9, 0x4a, 0x8b, 0x91, 0x32, 0xdf, 0xa5, 0x36, 0x62, 0x4d, 0x88, 0x88, 0xf7, 0x5c, 0xbf, 0xa6, 0x6e, 0xd9, 0x1f, + /* (2^196)P */ 0x9a, 0x0d, 0x19, 0x1f, 0x98, 0x61, 0xa1, 0x42, 0xc1, 0x52, 0x60, 0x7e, 0x50, 0x49, 0xd8, 0x61, 0xd5, 0x2c, 0x5a, 0x28, 0xbf, 0x13, 0xe1, 0x9f, 0xd8, 0x85, 0xad, 0xdb, 0x76, 0xd6, 0x22, 0x7c, + /* (2^197)P */ 0x7d, 0xd2, 0xfb, 0x2b, 0xed, 0x70, 0xe7, 0x82, 0xa5, 0xf5, 0x96, 0xe9, 0xec, 0xb2, 0x05, 0x4c, 0x50, 0x01, 0x90, 0xb0, 0xc2, 0xa9, 0x40, 0xcd, 0x64, 0xbf, 0xd9, 0x13, 0x92, 0x31, 0x95, 0x58, + /* (2^198)P */ 0x08, 0x2e, 0xea, 0x3f, 0x70, 0x5d, 0xcc, 0xe7, 0x8c, 0x18, 0xe2, 0x58, 0x12, 0x49, 0x0c, 0xb5, 0xf0, 0x5b, 0x20, 0x48, 0xaa, 0x0b, 0xe3, 0xcc, 0x62, 0x2d, 0xa3, 0xcf, 0x9c, 0x65, 0x7c, 0x53, + /* (2^199)P */ 0x88, 0xc0, 0xcf, 0x98, 0x3a, 0x62, 0xb6, 0x37, 0xa4, 0xac, 0xd6, 0xa4, 0x1f, 0xed, 0x9b, 0xfe, 0xb0, 0xd1, 0xa8, 0x56, 0x8e, 0x9b, 0xd2, 0x04, 0x75, 0x95, 0x51, 0x0b, 0xc4, 0x71, 0x5f, 0x72, + /* (2^200)P */ 0xe6, 0x9c, 0x33, 0xd0, 0x9c, 0xf8, 0xc7, 0x28, 0x8b, 0xc1, 0xdd, 0x69, 0x44, 0xb1, 0x67, 0x83, 0x2c, 0x65, 0xa1, 0xa6, 0x83, 0xda, 0x3a, 0x88, 0x17, 0x6c, 0x4d, 0x03, 0x74, 0x19, 0x5f, 0x58, + /* (2^201)P */ 0x88, 0x91, 0xb1, 0xf1, 0x66, 0xb2, 0xcf, 0x89, 0x17, 0x52, 0xc3, 0xe7, 0x63, 0x48, 0x3b, 0xe6, 0x6a, 0x52, 0xc0, 0xb4, 0xa6, 0x9d, 0x8c, 0xd8, 0x35, 0x46, 0x95, 0xf0, 0x9d, 0x5c, 0x03, 0x3e, + /* (2^202)P */ 0x9d, 0xde, 0x45, 0xfb, 0x12, 0x54, 0x9d, 0xdd, 0x0d, 0xf4, 0xcf, 0xe4, 0x32, 0x45, 0x68, 0xdd, 0x1c, 0x67, 0x1d, 0x15, 0x9b, 0x99, 0x5c, 0x4b, 0x90, 0xf6, 0xe7, 0x11, 0xc8, 0x2c, 0x8c, 0x2d, + /* (2^203)P */ 0x40, 0x5d, 0x05, 0x90, 0x1d, 0xbe, 0x54, 0x7f, 0x40, 0xaf, 0x4a, 0x46, 0xdf, 0xc5, 0x64, 0xa4, 0xbe, 0x17, 0xe9, 0xf0, 0x24, 0x96, 0x97, 0x33, 0x30, 0x6b, 0x35, 0x27, 0xc5, 0x8d, 0x01, 0x2c, + /* (2^204)P */ 0xd4, 0xb3, 0x30, 0xe3, 0x24, 0x50, 0x41, 0xa5, 0xd3, 0x52, 0x16, 0x69, 0x96, 0x3d, 0xff, 0x73, 0xf1, 0x59, 0x9b, 0xef, 0xc4, 0x42, 0xec, 0x94, 0x5a, 0x8e, 0xd0, 0x18, 0x16, 0x20, 0x47, 0x07, + /* (2^205)P */ 0x53, 0x1c, 0x41, 0xca, 0x8a, 0xa4, 0x6c, 0x4d, 0x19, 0x61, 0xa6, 0xcf, 0x2f, 0x5f, 0x41, 0x66, 0xff, 0x27, 0xe2, 0x51, 0x00, 0xd4, 0x4d, 0x9c, 0xeb, 0xf7, 0x02, 0x9a, 0xc0, 0x0b, 0x81, 0x59, + /* (2^206)P */ 0x1d, 0x10, 0xdc, 0xb3, 0x71, 0xb1, 0x7e, 0x2a, 0x8e, 0xf6, 0xfe, 0x9f, 0xb9, 0x5a, 0x1c, 0x44, 0xea, 0x59, 0xb3, 0x93, 0x9b, 0x5c, 0x02, 0x32, 0x2f, 0x11, 0x9d, 0x1e, 0xa7, 0xe0, 0x8c, 0x5e, + /* (2^207)P */ 0xfd, 0x03, 0x95, 0x42, 0x92, 0xcb, 0xcc, 0xbf, 0x55, 0x5d, 0x09, 0x2f, 0x75, 0xba, 0x71, 0xd2, 0x1e, 0x09, 0x2d, 0x97, 0x5e, 0xad, 0x5e, 0x34, 0xba, 0x03, 0x31, 0xa8, 0x11, 0xdf, 0xc8, 0x18, + /* (2^208)P */ 0x4c, 0x0f, 0xed, 0x9a, 0x9a, 0x94, 0xcd, 0x90, 0x7e, 0xe3, 0x60, 0x66, 0xcb, 0xf4, 0xd1, 0xc5, 0x0b, 0x2e, 0xc5, 0x56, 0x2d, 0xc5, 0xca, 0xb8, 0x0d, 0x8e, 0x80, 0xc5, 0x00, 0xe4, 0x42, 0x6e, + /* (2^209)P */ 0x23, 0xfd, 0xae, 0xee, 0x66, 0x69, 0xb4, 0xa3, 0xca, 0xcd, 0x9e, 0xe3, 0x0b, 0x1f, 0x4f, 0x0c, 0x1d, 0xa5, 0x83, 0xd6, 0xc9, 0xc8, 0x9d, 0x18, 0x1b, 0x35, 0x09, 0x4c, 0x05, 0x7f, 0xf2, 0x51, + /* (2^210)P */ 0x82, 0x06, 0x32, 0x2a, 0xcd, 0x7c, 0x48, 0x4c, 0x96, 0x1c, 0xdf, 0xb3, 0x5b, 0xa9, 0x7e, 0x58, 0xe8, 0xb8, 0x5c, 0x55, 0x9e, 0xf7, 0xcc, 0xc8, 0x3d, 0xd7, 0x06, 0xa2, 0x29, 0xc8, 0x7d, 0x54, + /* (2^211)P */ 0x06, 0x9b, 0xc3, 0x80, 0xcd, 0xa6, 0x22, 0xb8, 0xc6, 0xd4, 0x00, 0x20, 0x73, 0x54, 0x6d, 0xe9, 0x4d, 0x3b, 0x46, 0x91, 0x6f, 0x5b, 0x53, 0x28, 0x1d, 0x6e, 0x48, 0xe2, 0x60, 0x46, 0x8f, 0x22, + /* (2^212)P */ 0xbf, 0x3a, 0x8d, 0xde, 0x38, 0x95, 0x79, 0x98, 0x6e, 0xca, 0xeb, 0x45, 0x00, 0x33, 0xd8, 0x8c, 0x38, 0xe7, 0x21, 0x82, 0x00, 0x2a, 0x95, 0x79, 0xbb, 0xd2, 0x5c, 0x53, 0xa7, 0xe1, 0x22, 0x43, + /* (2^213)P */ 0x1c, 0x80, 0xd1, 0x19, 0x18, 0xc1, 0x14, 0xb1, 0xc7, 0x5e, 0x3f, 0x4f, 0xd8, 0xe4, 0x16, 0x20, 0x4c, 0x0f, 0x26, 0x09, 0xf4, 0x2d, 0x0e, 0xdd, 0x66, 0x72, 0x5f, 0xae, 0xc0, 0x62, 0xc3, 0x5e, + /* (2^214)P */ 0xee, 0xb4, 0xb2, 0xb8, 0x18, 0x2b, 0x46, 0xc0, 0xfb, 0x1a, 0x4d, 0x27, 0x50, 0xd9, 0xc8, 0x7c, 0xd2, 0x02, 0x6b, 0x43, 0x05, 0x71, 0x5f, 0xf2, 0xd3, 0xcc, 0xf9, 0xbf, 0xdc, 0xf8, 0xbb, 0x43, + /* (2^215)P */ 0xdf, 0xe9, 0x39, 0xa0, 0x67, 0x17, 0xad, 0xb6, 0x83, 0x35, 0x9d, 0xf6, 0xa8, 0x4d, 0x71, 0xb0, 0xf5, 0x31, 0x29, 0xb4, 0x18, 0xfa, 0x55, 0x5e, 0x61, 0x09, 0xc6, 0x33, 0x8f, 0x55, 0xd5, 0x4e, + /* (2^216)P */ 0xdd, 0xa5, 0x47, 0xc6, 0x01, 0x79, 0xe3, 0x1f, 0x57, 0xd3, 0x81, 0x80, 0x1f, 0xdf, 0x3d, 0x59, 0xa6, 0xd7, 0x3f, 0x81, 0xfd, 0xa4, 0x49, 0x02, 0x61, 0xaf, 0x9c, 0x4e, 0x27, 0xca, 0xac, 0x69, + /* (2^217)P */ 0xc9, 0x21, 0x07, 0x33, 0xea, 0xa3, 0x7b, 0x04, 0xa0, 0x1e, 0x7e, 0x0e, 0xc2, 0x3f, 0x42, 0x83, 0x60, 0x4a, 0x31, 0x01, 0xaf, 0xc0, 0xf4, 0x1d, 0x27, 0x95, 0x28, 0x89, 0xab, 0x2d, 0xa6, 0x09, + /* (2^218)P */ 0x00, 0xcb, 0xc6, 0x9c, 0xa4, 0x25, 0xb3, 0xa5, 0xb6, 0x6c, 0xb5, 0x54, 0xc6, 0x5d, 0x4b, 0xe9, 0xa0, 0x94, 0xc9, 0xad, 0x79, 0x87, 0xe2, 0x3b, 0xad, 0x4a, 0x3a, 0xba, 0xf8, 0xe8, 0x96, 0x42, + /* (2^219)P */ 0xab, 0x1e, 0x45, 0x1e, 0x76, 0x89, 0x86, 0x32, 0x4a, 0x59, 0x59, 0xff, 0x8b, 0x59, 0x4d, 0x2e, 0x4a, 0x08, 0xa7, 0xd7, 0x53, 0x68, 0xb9, 0x49, 0xa8, 0x20, 0x14, 0x60, 0x19, 0xa3, 0x80, 0x49, + /* (2^220)P */ 0x42, 0x2c, 0x55, 0x2f, 0xe1, 0xb9, 0x65, 0x95, 0x96, 0xfe, 0x00, 0x71, 0xdb, 0x18, 0x53, 0x8a, 0xd7, 0xd0, 0xad, 0x43, 0x4d, 0x0b, 0xc9, 0x05, 0xda, 0x4e, 0x5d, 0x6a, 0xd6, 0x4c, 0x8b, 0x53, + /* (2^221)P */ 0x9f, 0x03, 0x9f, 0xe8, 0xc3, 0x4f, 0xe9, 0xf4, 0x45, 0x80, 0x61, 0x6f, 0xf2, 0x9a, 0x2c, 0x59, 0x50, 0x95, 0x4b, 0xfd, 0xb5, 0x6e, 0xa3, 0x08, 0x19, 0x14, 0xed, 0xc2, 0xf6, 0xfa, 0xff, 0x25, + /* (2^222)P */ 0x54, 0xd3, 0x79, 0xcc, 0x59, 0x44, 0x43, 0x34, 0x6b, 0x47, 0xd5, 0xb1, 0xb4, 0xbf, 0xec, 0xee, 0x99, 0x5d, 0x61, 0x61, 0xa0, 0x34, 0xeb, 0xdd, 0x73, 0xb7, 0x64, 0xeb, 0xcc, 0xce, 0x29, 0x51, + /* (2^223)P */ 0x20, 0x35, 0x99, 0x94, 0x58, 0x21, 0x43, 0xee, 0x3b, 0x0b, 0x4c, 0xf1, 0x7c, 0x9c, 0x2f, 0x77, 0xd5, 0xda, 0xbe, 0x06, 0xe3, 0xfc, 0xe2, 0xd2, 0x97, 0x6a, 0xf0, 0x46, 0xb5, 0x42, 0x5f, 0x71, + /* (2^224)P */ 0x1a, 0x5f, 0x5b, 0xda, 0xce, 0xcd, 0x4e, 0x43, 0xa9, 0x41, 0x97, 0xa4, 0x15, 0x71, 0xa1, 0x0d, 0x2e, 0xad, 0xed, 0x73, 0x7c, 0xd7, 0x0b, 0x68, 0x41, 0x90, 0xdd, 0x4e, 0x35, 0x02, 0x7c, 0x48, + /* (2^225)P */ 0xc4, 0xd9, 0x0e, 0xa7, 0xf3, 0xef, 0xef, 0xb8, 0x02, 0xe3, 0x57, 0xe8, 0xa3, 0x2a, 0xa3, 0x56, 0xa0, 0xa5, 0xa2, 0x48, 0xbd, 0x68, 0x3a, 0xdf, 0x44, 0xc4, 0x76, 0x31, 0xb7, 0x50, 0xf6, 0x07, + /* (2^226)P */ 0xb1, 0xcc, 0xe0, 0x26, 0x16, 0x9b, 0x8b, 0xe3, 0x36, 0xfb, 0x09, 0x8b, 0xc1, 0x53, 0xe0, 0x79, 0x64, 0x49, 0xf9, 0xc9, 0x19, 0x03, 0xd9, 0x56, 0xc4, 0xf5, 0x9f, 0xac, 0xe7, 0x41, 0xa9, 0x1c, + /* (2^227)P */ 0xbb, 0xa0, 0x2f, 0x16, 0x29, 0xdf, 0xc4, 0x49, 0x05, 0x33, 0xb3, 0x82, 0x32, 0xcf, 0x88, 0x84, 0x7d, 0x43, 0xbb, 0xca, 0x14, 0xda, 0xdf, 0x95, 0x86, 0xad, 0xd5, 0x64, 0x82, 0xf7, 0x91, 0x33, + /* (2^228)P */ 0x5d, 0x09, 0xb5, 0xe2, 0x6a, 0xe0, 0x9a, 0x72, 0x46, 0xa9, 0x59, 0x32, 0xd7, 0x58, 0x8a, 0xd5, 0xed, 0x21, 0x39, 0xd1, 0x62, 0x42, 0x83, 0xe9, 0x92, 0xb5, 0x4b, 0xa5, 0xfa, 0xda, 0xfe, 0x27, + /* (2^229)P */ 0xbb, 0x48, 0xad, 0x29, 0xb8, 0xc5, 0x9d, 0xa9, 0x60, 0xe2, 0x9e, 0x49, 0x42, 0x57, 0x02, 0x5f, 0xfd, 0x13, 0x75, 0x5d, 0xcd, 0x8e, 0x2c, 0x80, 0x38, 0xd9, 0x6d, 0x3f, 0xef, 0xb3, 0xce, 0x78, + /* (2^230)P */ 0x94, 0x5d, 0x13, 0x8a, 0x4f, 0xf4, 0x42, 0xc3, 0xa3, 0xdd, 0x8c, 0x82, 0x44, 0xdb, 0x9e, 0x7b, 0xe7, 0xcf, 0x37, 0x05, 0x1a, 0xd1, 0x36, 0x94, 0xc8, 0xb4, 0x1a, 0xec, 0x64, 0xb1, 0x64, 0x50, + /* (2^231)P */ 0xfc, 0xb2, 0x7e, 0xd3, 0xcf, 0xec, 0x20, 0x70, 0xfc, 0x25, 0x0d, 0xd9, 0x3e, 0xea, 0x31, 0x1f, 0x34, 0xbb, 0xa1, 0xdf, 0x7b, 0x0d, 0x93, 0x1b, 0x44, 0x30, 0x11, 0x48, 0x7a, 0x46, 0x44, 0x53, + /* (2^232)P */ 0xfb, 0x6d, 0x5e, 0xf2, 0x70, 0x31, 0x07, 0x70, 0xc8, 0x4c, 0x11, 0x50, 0x1a, 0xdc, 0x85, 0xe3, 0x00, 0x4f, 0xfc, 0xc8, 0x8a, 0x69, 0x48, 0x23, 0xd8, 0x40, 0xdd, 0x84, 0x52, 0xa5, 0x77, 0x2a, + /* (2^233)P */ 0xe4, 0x6c, 0x8c, 0xc9, 0xe0, 0xaf, 0x06, 0xfe, 0xe4, 0xd6, 0xdf, 0xdd, 0x96, 0xdf, 0x35, 0xc2, 0xd3, 0x1e, 0xbf, 0x33, 0x1e, 0xd0, 0x28, 0x14, 0xaf, 0xbd, 0x00, 0x93, 0xec, 0x68, 0x57, 0x78, + /* (2^234)P */ 0x3b, 0xb6, 0xde, 0x91, 0x7a, 0xe5, 0x02, 0x97, 0x80, 0x8b, 0xce, 0xe5, 0xbf, 0xb8, 0xbd, 0x61, 0xac, 0x58, 0x1d, 0x3d, 0x6f, 0x42, 0x5b, 0x64, 0xbc, 0x57, 0xa5, 0x27, 0x22, 0xa8, 0x04, 0x48, + /* (2^235)P */ 0x01, 0x26, 0x4d, 0xb4, 0x8a, 0x04, 0x57, 0x8e, 0x35, 0x69, 0x3a, 0x4b, 0x1a, 0x50, 0xd6, 0x68, 0x93, 0xc2, 0xe1, 0xf9, 0xc3, 0x9e, 0x9c, 0xc3, 0xe2, 0x63, 0xde, 0xd4, 0x57, 0xf2, 0x72, 0x41, + /* (2^236)P */ 0x01, 0x64, 0x0c, 0x33, 0x50, 0xb4, 0x68, 0xd3, 0x91, 0x23, 0x8f, 0x41, 0x17, 0x30, 0x0d, 0x04, 0x0d, 0xd9, 0xb7, 0x90, 0x60, 0xbb, 0x34, 0x2c, 0x1f, 0xd5, 0xdf, 0x8f, 0x22, 0x49, 0xf6, 0x16, + /* (2^237)P */ 0xf5, 0x8e, 0x92, 0x2b, 0x8e, 0x81, 0xa6, 0xbe, 0x72, 0x1e, 0xc1, 0xcd, 0x91, 0xcf, 0x8c, 0xe2, 0xcd, 0x36, 0x7a, 0xe7, 0x68, 0xaa, 0x4a, 0x59, 0x0f, 0xfd, 0x7f, 0x6c, 0x80, 0x34, 0x30, 0x31, + /* (2^238)P */ 0x65, 0xbd, 0x49, 0x22, 0xac, 0x27, 0x9d, 0x8a, 0x12, 0x95, 0x8e, 0x01, 0x64, 0xb4, 0xa3, 0x19, 0xc7, 0x7e, 0xb3, 0x52, 0xf3, 0xcf, 0x6c, 0xc2, 0x21, 0x7b, 0x79, 0x1d, 0x34, 0x68, 0x6f, 0x05, + /* (2^239)P */ 0x27, 0x23, 0xfd, 0x7e, 0x75, 0xd6, 0x79, 0x5e, 0x15, 0xfe, 0x3a, 0x55, 0xb6, 0xbc, 0xbd, 0xfa, 0x60, 0x5a, 0xaf, 0x6e, 0x2c, 0x22, 0xe7, 0xd3, 0x3b, 0x74, 0xae, 0x4d, 0x6d, 0xc7, 0x46, 0x70, + /* (2^240)P */ 0x55, 0x4a, 0x8d, 0xb1, 0x72, 0xe8, 0x0b, 0x66, 0x96, 0x14, 0x4e, 0x57, 0x18, 0x25, 0x99, 0x19, 0xbb, 0xdc, 0x2b, 0x30, 0x3a, 0x05, 0x03, 0xc1, 0x8e, 0x8e, 0x21, 0x0b, 0x80, 0xe9, 0xd8, 0x3e, + /* (2^241)P */ 0x3e, 0xe0, 0x75, 0xfa, 0x39, 0x92, 0x0b, 0x7b, 0x83, 0xc0, 0x33, 0x46, 0x68, 0xfb, 0xe9, 0xef, 0x93, 0x77, 0x1a, 0x39, 0xbe, 0x5f, 0xa3, 0x98, 0x34, 0xfe, 0xd0, 0xe2, 0x0f, 0x51, 0x65, 0x60, + /* (2^242)P */ 0x0c, 0xad, 0xab, 0x48, 0x85, 0x66, 0xcb, 0x55, 0x27, 0xe5, 0x87, 0xda, 0x48, 0x45, 0x58, 0xb4, 0xdd, 0xc1, 0x07, 0x01, 0xea, 0xec, 0x43, 0x2c, 0x35, 0xde, 0x72, 0x93, 0x80, 0x28, 0x60, 0x52, + /* (2^243)P */ 0x1f, 0x3b, 0x21, 0xf9, 0x6a, 0xc5, 0x15, 0x34, 0xdb, 0x98, 0x7e, 0x01, 0x4d, 0x1a, 0xee, 0x5b, 0x9b, 0x70, 0xcf, 0xb5, 0x05, 0xb1, 0xf6, 0x13, 0xb6, 0x9a, 0xb2, 0x82, 0x34, 0x0e, 0xf2, 0x5f, + /* (2^244)P */ 0x90, 0x6c, 0x2e, 0xcc, 0x75, 0x9c, 0xa2, 0x0a, 0x06, 0xe2, 0x70, 0x3a, 0xca, 0x73, 0x7d, 0xfc, 0x15, 0xc5, 0xb5, 0xc4, 0x8f, 0xc3, 0x9f, 0x89, 0x07, 0xc2, 0xff, 0x24, 0xb1, 0x86, 0x03, 0x25, + /* (2^245)P */ 0x56, 0x2b, 0x3d, 0xae, 0xd5, 0x28, 0xea, 0x54, 0xce, 0x60, 0xde, 0xd6, 0x9d, 0x14, 0x13, 0x99, 0xc1, 0xd6, 0x06, 0x8f, 0xc5, 0x4f, 0x69, 0x16, 0xc7, 0x8f, 0x01, 0xeb, 0x75, 0x39, 0xb2, 0x46, + /* (2^246)P */ 0xe2, 0xb4, 0xb7, 0xb4, 0x0f, 0x6a, 0x0a, 0x47, 0xde, 0x53, 0x72, 0x8f, 0x5a, 0x47, 0x92, 0x5d, 0xdb, 0x3a, 0xbd, 0x2f, 0xb5, 0xe5, 0xee, 0xab, 0x68, 0x69, 0x80, 0xa0, 0x01, 0x08, 0xa2, 0x7f, + /* (2^247)P */ 0xd2, 0x14, 0x77, 0x9f, 0xf1, 0xfa, 0xf3, 0x76, 0xc3, 0x60, 0x46, 0x2f, 0xc1, 0x40, 0xe8, 0xb3, 0x4e, 0x74, 0x12, 0xf2, 0x8d, 0xcd, 0xb4, 0x0f, 0xd2, 0x2d, 0x3a, 0x1d, 0x25, 0x5a, 0x06, 0x4b, + /* (2^248)P */ 0x4a, 0xcd, 0x77, 0x3d, 0x38, 0xde, 0xeb, 0x5c, 0xb1, 0x9c, 0x2c, 0x88, 0xdf, 0x39, 0xdf, 0x6a, 0x59, 0xf7, 0x9a, 0xb0, 0x2e, 0x24, 0xdd, 0xa2, 0x22, 0x64, 0x5f, 0x0e, 0xe5, 0xc0, 0x47, 0x31, + /* (2^249)P */ 0xdb, 0x50, 0x13, 0x1d, 0x10, 0xa5, 0x4c, 0x16, 0x62, 0xc9, 0x3f, 0xc3, 0x79, 0x34, 0xd1, 0xf8, 0x08, 0xda, 0xe5, 0x13, 0x4d, 0xce, 0x40, 0xe6, 0xba, 0xf8, 0x61, 0x50, 0xc4, 0xe0, 0xde, 0x4b, + /* (2^250)P */ 0xc9, 0xb1, 0xed, 0xa4, 0xc1, 0x6d, 0xc4, 0xd7, 0x8a, 0xd9, 0x7f, 0x43, 0xb6, 0xd7, 0x14, 0x55, 0x0b, 0xc0, 0xa1, 0xb2, 0x6b, 0x2f, 0x94, 0x58, 0x0e, 0x71, 0x70, 0x1d, 0xab, 0xb2, 0xff, 0x2d, + /* (2^251)P */ 0x68, 0x6d, 0x8b, 0xc1, 0x2f, 0xcf, 0xdf, 0xcc, 0x67, 0x61, 0x80, 0xb7, 0xa8, 0xcb, 0xeb, 0xa8, 0xe3, 0x37, 0x29, 0x5e, 0xf9, 0x97, 0x06, 0x98, 0x8c, 0x6e, 0x12, 0xd0, 0x1c, 0xba, 0xfb, 0x02, + /* (2^252)P */ 0x65, 0x45, 0xff, 0xad, 0x60, 0xc3, 0x98, 0xcb, 0x19, 0x15, 0xdb, 0x4b, 0xd2, 0x01, 0x71, 0x44, 0xd5, 0x15, 0xfb, 0x75, 0x74, 0xc8, 0xc4, 0x98, 0x7d, 0xa2, 0x22, 0x6e, 0x6d, 0xc7, 0xf8, 0x05, + /* (2^253)P */ 0x94, 0xf4, 0xb9, 0xfe, 0xdf, 0xe5, 0x69, 0xab, 0x75, 0x6b, 0x40, 0x18, 0x9d, 0xc7, 0x09, 0xae, 0x1d, 0x2d, 0xa4, 0x94, 0xfb, 0x45, 0x9b, 0x19, 0x84, 0xfa, 0x2a, 0xae, 0xeb, 0x0a, 0x71, 0x79, + /* (2^254)P */ 0xdf, 0xd2, 0x34, 0xf3, 0xa7, 0xed, 0xad, 0xa6, 0xb4, 0x57, 0x2a, 0xaf, 0x51, 0x9c, 0xde, 0x7b, 0xa8, 0xea, 0xdc, 0x86, 0x4f, 0xc6, 0x8f, 0xa9, 0x7b, 0xd0, 0x0e, 0xc2, 0x35, 0x03, 0xbe, 0x6b, + /* (2^255)P */ 0x44, 0x43, 0x98, 0x53, 0xbe, 0xdc, 0x7f, 0x66, 0xa8, 0x49, 0x59, 0x00, 0x1c, 0xbc, 0x72, 0x07, 0x8e, 0xd6, 0xbe, 0x4e, 0x9f, 0xa4, 0x07, 0xba, 0xbf, 0x30, 0xdf, 0xba, 0x85, 0xb0, 0xa7, 0x1f, +} diff --git a/src/circl/dh/x25519/testdata/rfc7748_kat_test.json b/src/circl/dh/x25519/testdata/rfc7748_kat_test.json new file mode 100644 index 00000000000..c77f8658977 --- /dev/null +++ b/src/circl/dh/x25519/testdata/rfc7748_kat_test.json @@ -0,0 +1,32 @@ +[ + { + "input": "e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c", + "output": "c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552", + "scalar": "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4" + }, + { + "input": "e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a493", + "output": "95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957", + "scalar": "4b66e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba0d" + }, + { + "input": "0900000000000000000000000000000000000000000000000000000000000000", + "output": "8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a", + "scalar": "77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a" + }, + { + "input": "0900000000000000000000000000000000000000000000000000000000000000", + "output": "de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f", + "scalar": "5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb" + }, + { + "input": "de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f", + "output": "4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742", + "scalar": "77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a" + }, + { + "input": "8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a", + "output": "4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742", + "scalar": "5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb" + } +] diff --git a/src/circl/dh/x25519/testdata/rfc7748_times_test.json b/src/circl/dh/x25519/testdata/rfc7748_times_test.json new file mode 100644 index 00000000000..7c26881886e --- /dev/null +++ b/src/circl/dh/x25519/testdata/rfc7748_times_test.json @@ -0,0 +1,14 @@ +[ + { + "times": 1, + "key": "422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079" + }, + { + "times": 1000, + "key": "684cf59ba83309552800ef566f2f4d3c1c3887c49360e3875f2eb94d99532c51" + }, + { + "times": 1000000, + "key": "7c3911e0ab2586fd864497297e575e6f3bc601c0883c30df5f4dd2d24f665424" + } +] diff --git a/src/circl/dh/x25519/testdata/wycheproof_kat.json b/src/circl/dh/x25519/testdata/wycheproof_kat.json new file mode 100644 index 00000000000..b80b2bc7707 --- /dev/null +++ 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"shared":"54c9a1ed95e546d27822a360931dda60a1df049da6f904253c0612bbdc087476", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":56, + "comment":"public key >= p", + "curve":"curve25519", + "public":"daffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"f8f707b7999b18cb0d6b96124f2045972ca274bfc154ad0c87038c24c6d0d4b2", + "shared":"cc1f40d743cdc2230e1043daba8b75e810f1fbab7f255269bd9ebb29e6bf494f", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":57, + "comment":"public key >= p", + "curve":"curve25519", + "public":"dbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"a034f684fa631e1a348118c1ce4c98231f2d9eec9ba5365b4a05d69a785b0796", + "shared":"54998ee43a5b007bf499f078e736524400a8b5c7e9b9b43771748c7cdf880412", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":58, + "comment":"public key >= p", + "curve":"curve25519", + "public":"dcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"30b6c6a0f2ffa680768f992ba89e152d5bc9893d38c9119be4f767bfab6e0ca5", + "shared":"ead9b38efdd723637934e55ab717a7ae09eb86a21dc36a3feeb88b759e391e09", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":59, + "comment":"public key >= p", + "curve":"curve25519", + "public":"eaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"901b9dcf881e01e027575035d40b43bdc1c5242e030847495b0c7286469b6591", + "shared":"602ff40789b54b41805915fe2a6221f07a50ffc2c3fc94cf61f13d7904e88e0e", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":60, + "comment":"public key >= p", + "curve":"curve25519", + "public":"ebffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"8046677c28fd82c9a1bdb71a1a1a34faba1225e2507fe3f54d10bd5b0d865f8e", + "shared":"e00ae8b143471247ba24f12c885536c3cb981b58e1e56b2baf35c12ae1f79c26", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":61, + "comment":"public key >= p", + "curve":"curve25519", + "public":"efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"602f7e2f68a846b82cc269b1d48e939886ae54fd636c1fe074d710127d472491", + "shared":"98cb9b50dd3fc2b0d4f2d2bf7c5cfdd10c8fcd31fc40af1ad44f47c131376362", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":62, + "comment":"public key >= p", + "curve":"curve25519", + "public":"f0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"60887b3dc72443026ebedbbbb70665f42b87add1440e7768fbd7e8e2ce5f639d", + "shared":"38d6304c4a7e6d9f7959334fb5245bd2c754525d4c91db950206926234c1f633", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":63, + "comment":"public key >= p", + "curve":"curve25519", + "public":"f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"78d31dfa854497d72d8def8a1b7fb006cec2d8c4924647c93814ae56faeda495", + "shared":"786cd54996f014a5a031ec14db812ed08355061fdb5de680a800ac521f318e23", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":64, + "comment":"public key >= p", + "curve":"curve25519", + "public":"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "private":"c04c5baefa8302ddded6a4bb957761b4eb97aefa4fc3b8043085f96a5659b3a5", + "shared":"29ae8bc73e9b10a08b4f681c43c3e0ac1a171d31b38f1a48efba29ae639ea134", + "result":"acceptable", + "flags":[ + + ] + }, + { + "tcId":65, + "comment":"RFC 7748", + "curve":"curve25519", + "public":"e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c", + "private":"a046e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449a44", + "shared":"c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":66, + "comment":"RFC 7748", + "curve":"curve25519", + "public":"e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a413", + "private":"4866e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba4d", + "shared":"95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":67, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"0ab4e76380d84dde4f6833c58f2a9fb8f83bb0169b172be4b6e0592887741a36", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"0200000000000000000000000000000000000000000000000000000000000000", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":68, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"89e10d5701b4337d2d032181538b1064bd4084401ceca1fd12663a1959388000", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"0900000000000000000000000000000000000000000000000000000000000000", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":69, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"2b55d3aa4a8f80c8c0b2ae5f933e85af49beac36c2fa7394bab76c8933f8f81d", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"1000000000000000000000000000000000000000000000000000000000000000", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":70, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"63e5b1fe9601fe84385d8866b0421262f78fbfa5aff9585e626679b18547d959", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"feffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":71, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"e428f3dac17809f827a522ce32355058d07369364aa78902ee10139b9f9dd653", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":72, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"b3b50e3ed3a407b95de942ef74575b5ab8a10c09ee103544d60bdfed8138ab2b", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"f9ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":73, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"213fffe93d5ea8cd242e462844029922c43c77c9e3e42f562f485d24c501a20b", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff3f", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":74, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"91b232a178b3cd530932441e6139418f72172292f1da4c1834fc5ebfefb51e3f", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff03", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":75, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"045c6e11c5d332556c7822fe94ebf89b56a3878dc27ca079103058849fabcb4f", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"e5ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":76, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"1ca2190b71163539063c35773bda0c9c928e9136f0620aeb093f099197b7f74e", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"e3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":77, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"f76e9010ac33c5043b2d3b76a842171000c4916222e9e85897a0aec7f6350b3c", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"ddffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":78, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"bb72688d8f8aa7a39cd6060cd5c8093cdec6fe341937c3886a99346cd07faa55", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"dbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":79, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"88fddea193391c6a5933ef9b71901549447205aae9da928a6b91a352ba10f41f", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"0000000000000000000000000000000000000000000000000000000000000002", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":80, + "comment":"edge case for shared secret", + "curve":"curve25519", + "public":"303b392f153116cad9cc682a00ccc44c95ff0d3bbe568beb6c4e739bafdc2c68", + "private":"a0a4f130b98a5be4b1cedb7cb85584a3520e142d474dc9ccb909a073a976bf63", + "shared":"0000000000000000000000000000000000000000000000000000000000008000", + "result":"acceptable", + "flags":[ + "Twist" + ] + }, + { + "tcId":81, + "comment":"checking for overflow", + "curve":"curve25519", + "public":"fd300aeb40e1fa582518412b49b208a7842b1e1f056a040178ea4141534f652d", + "private":"c81724704000b26d31703cc97e3a378d56fad8219361c88cca8bd7c5719b12b2", + "shared":"b734105dc257585d73b566ccb76f062795ccbec89128e52b02f3e59639f13c46", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":82, + "comment":"checking for overflow", + "curve":"curve25519", + "public":"c8ef79b514d7682677bc7931e06ee5c27c9b392b4ae9484473f554e6678ecc2e", + "private":"c81724704000b26d31703cc97e3a378d56fad8219361c88cca8bd7c5719b12b2", + "shared":"647a46b6fc3f40d62141ee3cee706b4d7a9271593a7b143e8e2e2279883e4550", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":83, + "comment":"checking for overflow", + "curve":"curve25519", + "public":"64aeac2504144861532b7bbcb6c87d67dd4c1f07ebc2e06effb95aecc6170b2c", + "private":"c81724704000b26d31703cc97e3a378d56fad8219361c88cca8bd7c5719b12b2", + "shared":"4ff03d5fb43cd8657a3cf37c138cadcecce509e4eba089d0ef40b4e4fb946155", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":84, + "comment":"checking for overflow", + "curve":"curve25519", + "public":"bf68e35e9bdb7eee1b50570221860f5dcdad8acbab031b14974cc49013c49831", + "private":"c81724704000b26d31703cc97e3a378d56fad8219361c88cca8bd7c5719b12b2", + "shared":"21cee52efdbc812e1d021a4af1e1d8bc4db3c400e4d2a2c56a3926db4d99c65b", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":85, + "comment":"checking for overflow", + "curve":"curve25519", + "public":"5347c491331a64b43ddc683034e677f53dc32b52a52a577c15a83bf298e99f19", + "private":"c81724704000b26d31703cc97e3a378d56fad8219361c88cca8bd7c5719b12b2", + "shared":"18cb89e4e20c0c2bd324305245266c9327690bbe79acb88f5b8fb3f74eca3e52", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":86, + "comment":"private key == -1 (mod order)", + "curve":"curve25519", + "public":"258e04523b8d253ee65719fc6906c657192d80717edc828fa0af21686e2faa75", + "private":"a023cdd083ef5bb82f10d62e59e15a6800000000000000000000000000000050", + "shared":"258e04523b8d253ee65719fc6906c657192d80717edc828fa0af21686e2faa75", + "result":"valid", + "flags":[ + + ] + }, + { + "tcId":87, + "comment":"private key == 1 (mod order) on twist", + "curve":"curve25519", + "public":"2eae5ec3dd494e9f2d37d258f873a8e6e9d0dbd1e383ef64d98bb91b3e0be035", + "private":"58083dd261ad91eff952322ec824c682ffffffffffffffffffffffffffffff5f", + "shared":"2eae5ec3dd494e9f2d37d258f873a8e6e9d0dbd1e383ef64d98bb91b3e0be035", + "result":"acceptable", + "flags":[ + + ] + } +] diff --git a/src/circl/dh/x448/curve.go b/src/circl/dh/x448/curve.go new file mode 100644 index 00000000000..b7582d732cb --- /dev/null +++ b/src/circl/dh/x448/curve.go @@ -0,0 +1,104 @@ +package x448 + +import ( + fp "circl/math/fp448" +) + +// ladderJoye calculates a fixed-point multiplication with the generator point. +// The algorithm is the right-to-left Joye's ladder as described +// in "How to precompute a ladder" in SAC'2017. +func ladderJoye(k *Key) { + w := [5]fp.Elt{} // [mu,x1,z1,x2,z2] order must be preserved. + w[1] = fp.Elt{ // x1 = S + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } + fp.SetOne(&w[2]) // z1 = 1 + w[3] = fp.Elt{ // x2 = G-S + 0x20, 0x27, 0x9d, 0xc9, 0x7d, 0x19, 0xb1, 0xac, + 0xf8, 0xba, 0x69, 0x1c, 0xff, 0x33, 0xac, 0x23, + 0x51, 0x1b, 0xce, 0x3a, 0x64, 0x65, 0xbd, 0xf1, + 0x23, 0xf8, 0xc1, 0x84, 0x9d, 0x45, 0x54, 0x29, + 0x67, 0xb9, 0x81, 0x1c, 0x03, 0xd1, 0xcd, 0xda, + 0x7b, 0xeb, 0xff, 0x1a, 0x88, 0x03, 0xcf, 0x3a, + 0x42, 0x44, 0x32, 0x01, 0x25, 0xb7, 0xfa, 0xf0, + } + fp.SetOne(&w[4]) // z2 = 1 + + const n = 448 + const h = 2 + swap := uint(1) + for s := 0; s < n-h; s++ { + i := (s + h) / 8 + j := (s + h) % 8 + bit := uint((k[i] >> uint(j)) & 1) + copy(w[0][:], tableGenerator[s*Size:(s+1)*Size]) + diffAdd(&w, swap^bit) + swap = bit + } + for s := 0; s < h; s++ { + double(&w[1], &w[2]) + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +// ladderMontgomery calculates a generic scalar point multiplication +// The algorithm implemented is the left-to-right Montgomery's ladder. +func ladderMontgomery(k, xP *Key) { + w := [5]fp.Elt{} // [x1, x2, z2, x3, z3] order must be preserved. + w[0] = *(*fp.Elt)(xP) // x1 = xP + fp.SetOne(&w[1]) // x2 = 1 + w[3] = *(*fp.Elt)(xP) // x3 = xP + fp.SetOne(&w[4]) // z3 = 1 + + move := uint(0) + for s := 448 - 1; s >= 0; s-- { + i := s / 8 + j := s % 8 + bit := uint((k[i] >> uint(j)) & 1) + ladderStep(&w, move^bit) + move = bit + } + toAffine((*[fp.Size]byte)(k), &w[1], &w[2]) +} + +func toAffine(k *[fp.Size]byte, x, z *fp.Elt) { + fp.Inv(z, z) + fp.Mul(x, x, z) + _ = fp.ToBytes(k[:], x) +} + +var lowOrderPoints = [3]fp.Elt{ + { /* (0,_,1) point of order 2 on Curve448 */ + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (1,_,1) a point of order 4 on the twist of Curve448 */ + 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + { /* (-1,_,1) point of order 4 on Curve448 */ + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + }, +} diff --git a/src/circl/dh/x448/curve_amd64.go b/src/circl/dh/x448/curve_amd64.go new file mode 100644 index 00000000000..4bdc230e331 --- /dev/null +++ b/src/circl/dh/x448/curve_amd64.go @@ -0,0 +1,30 @@ +// +build amd64,!purego + +package x448 + +import ( + "internal/cpu" + + fp "circl/math/fp448" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func double(x, z *fp.Elt) { doubleAmd64(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddAmd64(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepAmd64(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Amd64(z, x) } + +//go:noescape +func doubleAmd64(x, z *fp.Elt) + +//go:noescape +func diffAddAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func ladderStepAmd64(w *[5]fp.Elt, b uint) + +//go:noescape +func mulA24Amd64(z, x *fp.Elt) diff --git a/src/circl/dh/x448/curve_amd64.h b/src/circl/dh/x448/curve_amd64.h new file mode 100644 index 00000000000..8c1ae4d0fbb --- /dev/null +++ b/src/circl/dh/x448/curve_amd64.h @@ -0,0 +1,111 @@ +#define ladderStepLeg \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulLeg(b0,x2,z3) \ + integerMulLeg(b1,x3,z2) \ + reduceFromDoubleLeg(t0,b0) \ + reduceFromDoubleLeg(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrLeg(b0,t0) \ + integerSqrLeg(b1,t1) \ + reduceFromDoubleLeg(x3,b0) \ + reduceFromDoubleLeg(z3,b1) \ + integerMulLeg(b0,x1,z3) \ + reduceFromDoubleLeg(z3,b0) \ + integerSqrLeg(b0,x2) \ + integerSqrLeg(b1,z2) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z2) \ + integerMulLeg(b0,x2,z2) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x2,b0) \ + reduceFromDoubleLeg(z2,b1) + +#define ladderStepBmi2Adx \ + addSub(x2,z2) \ + addSub(x3,z3) \ + integerMulAdx(b0,x2,z3) \ + integerMulAdx(b1,x3,z2) \ + reduceFromDoubleAdx(t0,b0) \ + reduceFromDoubleAdx(t1,b1) \ + addSub(t0,t1) \ + cselect(x2,x3,regMove) \ + cselect(z2,z3,regMove) \ + integerSqrAdx(b0,t0) \ + integerSqrAdx(b1,t1) \ + reduceFromDoubleAdx(x3,b0) \ + reduceFromDoubleAdx(z3,b1) \ + integerMulAdx(b0,x1,z3) \ + reduceFromDoubleAdx(z3,b0) \ + integerSqrAdx(b0,x2) \ + integerSqrAdx(b1,z2) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) \ + subtraction(t0,x2,z2) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z2) \ + integerMulAdx(b0,x2,z2) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x2,b0) \ + reduceFromDoubleAdx(z2,b1) + +#define difAddLeg \ + addSub(x1,z1) \ + integerMulLeg(b0,z1,ui) \ + reduceFromDoubleLeg(z1,b0) \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + integerMulLeg(b0,x1,z2) \ + integerMulLeg(b1,z1,x2) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define difAddBmi2Adx \ + addSub(x1,z1) \ + integerMulAdx(b0,z1,ui) \ + reduceFromDoubleAdx(z1,b0) \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + integerMulAdx(b0,x1,z2) \ + integerMulAdx(b1,z1,x2) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) + +#define doubleLeg \ + addSub(x1,z1) \ + integerSqrLeg(b0,x1) \ + integerSqrLeg(b1,z1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Leg(t1,t0) \ + additionLeg(t1,t1,z1) \ + integerMulLeg(b0,x1,z1) \ + integerMulLeg(b1,t0,t1) \ + reduceFromDoubleLeg(x1,b0) \ + reduceFromDoubleLeg(z1,b1) + +#define doubleBmi2Adx \ + addSub(x1,z1) \ + integerSqrAdx(b0,x1) \ + integerSqrAdx(b1,z1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) \ + subtraction(t0,x1,z1) \ + multiplyA24Adx(t1,t0) \ + additionAdx(t1,t1,z1) \ + integerMulAdx(b0,x1,z1) \ + integerMulAdx(b1,t0,t1) \ + reduceFromDoubleAdx(x1,b0) \ + reduceFromDoubleAdx(z1,b1) diff --git a/src/circl/dh/x448/curve_amd64.s b/src/circl/dh/x448/curve_amd64.s new file mode 100644 index 00000000000..810aa9e6481 --- /dev/null +++ b/src/circl/dh/x448/curve_amd64.s @@ -0,0 +1,193 @@ +// +build amd64 + +#include "textflag.h" + +// Depends on circl/math/fp448 package +#include "../../math/fp448/fp_amd64.h" +#include "curve_amd64.h" + +// CTE_A24 is (A+2)/4 from Curve448 +#define CTE_A24 39082 + +#define Size 56 + +// multiplyA24Leg multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, cmov, adx +#define multiplyA24Leg(z,x) \ + MOVQ $CTE_A24, R15; \ + MOVQ 0+x, AX; MULQ R15; MOVQ AX, R8; ;;;;;;;;;;;; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \ + MOVQ 32+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \ + MOVQ 40+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \ + MOVQ 48+x, AX; MULQ R15; ADDQ AX, R14; ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; MOVQ $0, DX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + MOVQ R8, 0+z; \ + MOVQ R9, 8+z; \ + MOVQ R10, 16+z; \ + MOVQ R11, 24+z; \ + MOVQ R12, 32+z; \ + MOVQ R13, 40+z; \ + MOVQ R14, 48+z; + +// multiplyA24Adx multiplies x times CTE_A24 and stores in z +// Uses: AX, DX, R8-R14, FLAGS +// Instr: x86_64, bmi2 +#define multiplyA24Adx(z,x) \ + MOVQ $CTE_A24, DX; \ + MULXQ 0+x, R8, R9; \ + MULXQ 8+x, AX, R10; ADDQ AX, R9; \ + MULXQ 16+x, AX, R11; ADCQ AX, R10; \ + MULXQ 24+x, AX, R12; ADCQ AX, R11; \ + MULXQ 32+x, AX, R13; ADCQ AX, R12; \ + MULXQ 40+x, AX, R14; ADCQ AX, R13; \ + MULXQ 48+x, AX, DX; ADCQ AX, R14; \ + ;;;;;;;;;;;;;;;;;;;; ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; MOVQ $0, DX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, DX; \ + MOVQ DX, AX; \ + SHLQ $32, AX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ AX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + MOVQ R8, 0+z; \ + MOVQ R9, 8+z; \ + MOVQ R10, 16+z; \ + MOVQ R11, 24+z; \ + MOVQ R12, 32+z; \ + MOVQ R13, 40+z; \ + MOVQ R14, 48+z; + +#define mulA24Legacy \ + multiplyA24Leg(0(DI),0(SI)) +#define mulA24Bmi2Adx \ + multiplyA24Adx(0(DI),0(SI)) + +// func mulA24Amd64(z, x *fp448.Elt) +TEXT ·mulA24Amd64(SB),NOSPLIT,$0-16 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + CHECK_BMI2ADX(LMA24, mulA24Legacy, mulA24Bmi2Adx) + +// func ladderStepAmd64(w *[5]fp448.Elt, b uint) +// ladderStepAmd64 calculates a point addition and doubling as follows: +// (x2,z2) = 2*(x2,z2) and (x3,z3) = (x2,z2)+(x3,z3) using as a difference (x1,-). +// w = {x1,x2,z2,x3,z4} are five fp255.Elt of 56 bytes. +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·ladderStepAmd64(SB),NOSPLIT,$336-16 + // Parameters + #define regWork DI + #define regMove SI + #define x1 0*Size(regWork) + #define x2 1*Size(regWork) + #define z2 2*Size(regWork) + #define x3 3*Size(regWork) + #define z3 4*Size(regWork) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regMove + CHECK_BMI2ADX(LLADSTEP, ladderStepLeg, ladderStepBmi2Adx) + #undef regWork + #undef regMove + #undef x1 + #undef x2 + #undef z2 + #undef x3 + #undef z3 + #undef t0 + #undef t1 + #undef b0 + #undef b1 + +// func diffAddAmd64(work *[5]fp.Elt, swap uint) +// diffAddAmd64 calculates a differential point addition using a precomputed point. +// (x1,z1) = (x1,z1)+(mu) using a difference point (x2,z2) +// work = {mu,x1,z1,x2,z2} are five fp448.Elt of 56 bytes, and +// stack = (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +// This is Equation 7 at https://eprint.iacr.org/2017/264. +TEXT ·diffAddAmd64(SB),NOSPLIT,$224-16 + // Parameters + #define regWork DI + #define regSwap SI + #define ui 0*Size(regWork) + #define x1 1*Size(regWork) + #define z1 2*Size(regWork) + #define x2 3*Size(regWork) + #define z2 4*Size(regWork) + // Local variables + #define b0 0*Size(SP) + #define b1 2*Size(SP) + MOVQ w+0(FP), regWork + MOVQ b+8(FP), regSwap + cswap(x1,x2,regSwap) + cswap(z1,z2,regSwap) + CHECK_BMI2ADX(LDIFADD, difAddLeg, difAddBmi2Adx) + #undef regWork + #undef regSwap + #undef ui + #undef x1 + #undef z1 + #undef x2 + #undef z2 + #undef b0 + #undef b1 + +// func doubleAmd64(x, z *fp448.Elt) +// doubleAmd64 calculates a point doubling (x1,z1) = 2*(x1,z1). +// stack = (t0,t1) are two fp.Elt of fp.Size bytes, and +// (b0,b1) are two-double precision fp.Elt of 2*fp.Size bytes. +TEXT ·doubleAmd64(SB),NOSPLIT,$336-16 + // Parameters + #define x1 0(DI) + #define z1 0(SI) + // Local variables + #define t0 0*Size(SP) + #define t1 1*Size(SP) + #define b0 2*Size(SP) + #define b1 4*Size(SP) + MOVQ x+0(FP), DI + MOVQ z+8(FP), SI + CHECK_BMI2ADX(LDOUB,doubleLeg,doubleBmi2Adx) + #undef x1 + #undef z1 + #undef t0 + #undef t1 + #undef b0 + #undef b1 diff --git a/src/circl/dh/x448/curve_generic.go b/src/circl/dh/x448/curve_generic.go new file mode 100644 index 00000000000..af9d2388ee1 --- /dev/null +++ b/src/circl/dh/x448/curve_generic.go @@ -0,0 +1,97 @@ +package x448 + +import ( + "encoding/binary" + "math/bits" + + "circl/math/fp448" +) + +func doubleGeneric(x, z *fp448.Elt) { + t0, t1 := &fp448.Elt{}, &fp448.Elt{} + fp448.AddSub(x, z) + fp448.Sqr(x, x) + fp448.Sqr(z, z) + fp448.Sub(t0, x, z) + mulA24Generic(t1, t0) + fp448.Add(t1, t1, z) + fp448.Mul(x, x, z) + fp448.Mul(z, t0, t1) +} +func diffAddGeneric(w *[5]fp448.Elt, b uint) { + mu, x1, z1, x2, z2 := &w[0], &w[1], &w[2], &w[3], &w[4] + fp448.Cswap(x1, x2, b) + fp448.Cswap(z1, z2, b) + fp448.AddSub(x1, z1) + fp448.Mul(z1, z1, mu) + fp448.AddSub(x1, z1) + fp448.Sqr(x1, x1) + fp448.Sqr(z1, z1) + fp448.Mul(x1, x1, z2) + fp448.Mul(z1, z1, x2) +} +func ladderStepGeneric(w *[5]fp448.Elt, b uint) { + x1, x2, z2, x3, z3 := &w[0], &w[1], &w[2], &w[3], &w[4] + t0 := &fp448.Elt{} + t1 := &fp448.Elt{} + fp448.AddSub(x2, z2) + fp448.AddSub(x3, z3) + fp448.Mul(t0, x2, z3) + fp448.Mul(t1, x3, z2) + fp448.AddSub(t0, t1) + fp448.Cmov(x2, x3, b) + fp448.Cmov(z2, z3, b) + fp448.Sqr(x3, t0) + fp448.Sqr(z3, t1) + fp448.Mul(z3, x1, z3) + fp448.Sqr(x2, x2) + fp448.Sqr(z2, z2) + fp448.Sub(t0, x2, z2) + mulA24Generic(t1, t0) + fp448.Add(t1, t1, z2) + fp448.Mul(x2, x2, z2) + fp448.Mul(z2, t0, t1) +} +func mulA24Generic(z, x *fp448.Elt) { + const A24 = 39082 + const n = 8 + var xx [7]uint64 + for i := range xx { + xx[i] = binary.LittleEndian.Uint64(x[i*n : (i+1)*n]) + } + h0, l0 := bits.Mul64(xx[0], A24) + h1, l1 := bits.Mul64(xx[1], A24) + h2, l2 := bits.Mul64(xx[2], A24) + h3, l3 := bits.Mul64(xx[3], A24) + h4, l4 := bits.Mul64(xx[4], A24) + h5, l5 := bits.Mul64(xx[5], A24) + h6, l6 := bits.Mul64(xx[6], A24) + + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, c3 := bits.Add64(h3, l4, c2) + l5, c4 := bits.Add64(h4, l5, c3) + l6, c5 := bits.Add64(h5, l6, c4) + l7, _ := bits.Add64(h6, 0, c5) + + l0, c0 = bits.Add64(l0, l7, 0) + l1, c1 = bits.Add64(l1, 0, c0) + l2, c2 = bits.Add64(l2, 0, c1) + l3, c3 = bits.Add64(l3, l7<<32, c2) + l4, c4 = bits.Add64(l4, 0, c3) + l5, c5 = bits.Add64(l5, 0, c4) + l6, l7 = bits.Add64(l6, 0, c5) + + xx[0], c0 = bits.Add64(l0, l7, 0) + xx[1], c1 = bits.Add64(l1, 0, c0) + xx[2], c2 = bits.Add64(l2, 0, c1) + xx[3], c3 = bits.Add64(l3, l7<<32, c2) + xx[4], c4 = bits.Add64(l4, 0, c3) + xx[5], c5 = bits.Add64(l5, 0, c4) + xx[6], _ = bits.Add64(l6, 0, c5) + + for i := range xx { + binary.LittleEndian.PutUint64(z[i*n:(i+1)*n], xx[i]) + } +} diff --git a/src/circl/dh/x448/curve_noasm.go b/src/circl/dh/x448/curve_noasm.go new file mode 100644 index 00000000000..cd4bd55c804 --- /dev/null +++ b/src/circl/dh/x448/curve_noasm.go @@ -0,0 +1,10 @@ +// +build !amd64 purego + +package x448 + +import fp "circl/math/fp448" + +func double(x, z *fp.Elt) { doubleGeneric(x, z) } +func diffAdd(w *[5]fp.Elt, b uint) { diffAddGeneric(w, b) } +func ladderStep(w *[5]fp.Elt, b uint) { ladderStepGeneric(w, b) } +func mulA24(z, x *fp.Elt) { mulA24Generic(z, x) } diff --git a/src/circl/dh/x448/curve_test.go b/src/circl/dh/x448/curve_test.go new file mode 100644 index 00000000000..84aef014b26 --- /dev/null +++ b/src/circl/dh/x448/curve_test.go @@ -0,0 +1,214 @@ +package x448 + +import ( + "crypto/rand" + "math/big" + "testing" + + "circl/internal/conv" + "circl/internal/test" + fp "circl/math/fp448" +) + +func getModulus() *big.Int { + p := big.NewInt(1) + p.Lsh(p, 224) + p.Sub(p, new(big.Int).SetInt64(1)) + p.Lsh(p, 224) + p.Sub(p, new(big.Int).SetInt64(1)) + return p +} + +func doubleBig(x1, z1, p *big.Int) { + // Montgomery point doubling in projective (X:Z) coordinates. + A24 := big.NewInt(39082) + A, B, C := big.NewInt(0), big.NewInt(0), big.NewInt(0) + A.Add(x1, z1).Mod(A, p) + B.Sub(x1, z1).Mod(B, p) + A.Mul(A, A) + B.Mul(B, B) + C.Sub(A, B) + x1.Mul(A, B).Mod(x1, p) + z1.Mul(C, A24).Add(z1, B).Mul(z1, C).Mod(z1, p) +} + +// Equation 7 at https://eprint.iacr.org/2017/264 +func diffAddBig(work [5]*big.Int, p *big.Int, b uint) { + mu, x1, z1, x2, z2 := work[0], work[1], work[2], work[3], work[4] + A, B := big.NewInt(0), big.NewInt(0) + if b != 0 { + t := new(big.Int) + t.Set(x1) + x1.Set(x2) + x2.Set(t) + t.Set(z1) + z1.Set(z2) + z2.Set(t) + } + A.Add(x1, z1) + B.Sub(x1, z1) + B.Mul(B, mu).Mod(B, p) + x1.Add(A, B).Mod(x1, p) + z1.Sub(A, B).Mod(z1, p) + x1.Mul(x1, x1).Mul(x1, z2).Mod(x1, p) + z1.Mul(z1, z1).Mul(z1, x2).Mod(z1, p) + mu.Mod(mu, p) + x2.Mod(x2, p) + z2.Mod(z2, p) +} + +func ladderStepBig(work [5]*big.Int, p *big.Int, b uint) { + A24 := big.NewInt(39082) + x1 := work[0] + x2, z2 := work[1], work[2] + x3, z3 := work[3], work[4] + A, B, C, D := big.NewInt(0), big.NewInt(0), big.NewInt(0), big.NewInt(0) + DA, CB, E := big.NewInt(0), big.NewInt(0), big.NewInt(0) + A.Add(x2, z2).Mod(A, p) + B.Sub(x2, z2).Mod(B, p) + C.Add(x3, z3).Mod(C, p) + D.Sub(x3, z3).Mod(D, p) + DA.Mul(D, A).Mod(DA, p) + CB.Mul(C, B).Mod(CB, p) + if b != 0 { + t := new(big.Int) + t.Set(A) + A.Set(C) + C.Set(t) + t.Set(B) + B.Set(D) + D.Set(t) + } + AA := A.Mul(A, A).Mod(A, p) + BB := B.Mul(B, B).Mod(B, p) + E.Sub(AA, BB) + x1.Mod(x1, p) + x2.Mul(AA, BB).Mod(x2, p) + z2.Mul(E, A24).Add(z2, BB).Mul(z2, E).Mod(z2, p) + x3.Add(DA, CB) + z3.Sub(DA, CB) + x3.Mul(x3, x3).Mod(x3, p) + z3.Mul(z3, z3).Mul(z3, x1).Mod(z3, p) +} + +type tDouble func(x, z *fp.Elt) +type tDiffAdd func(w *[5]fp.Elt, b uint) +type tLadderStep func(w *[5]fp.Elt, b uint) +type tMulA24 func(z, x *fp.Elt) + +func TestGeneric(t *testing.T) { + testDouble(t, doubleGeneric) + testDiffAdd(t, diffAddGeneric) + testLadderStep(t, ladderStepGeneric) + testMulA24(t, mulA24Generic) +} + +func TestNative(t *testing.T) { + testDouble(t, double) + testDiffAdd(t, diffAdd) + testLadderStep(t, ladderStep) + testMulA24(t, mulA24) +} + +func testMulA24(t *testing.T, f tMulA24) { + const numTests = 1 << 9 + var x, z fp.Elt + p := getModulus() + A24 := big.NewInt(39082) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + bigX := conv.BytesLe2BigInt(x[:]) + f(&z, &x) + got := conv.BytesLe2BigInt(z[:]) + got.Mod(got, p) + + want := bigX.Mul(bigX, A24).Mod(bigX, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func testDouble(t *testing.T, f tDouble) { + const numTests = 1 << 9 + var x, z fp.Elt + p := getModulus() + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(z[:]) + + bigX := conv.BytesLe2BigInt(x[:]) + bigZ := conv.BytesLe2BigInt(z[:]) + f(&x, &z) + got0 := conv.BytesLe2BigInt(x[:]) + got1 := conv.BytesLe2BigInt(z[:]) + got0.Mod(got0, p) + got1.Mod(got1, p) + + doubleBig(bigX, bigZ, p) + want0 := bigX + want1 := bigZ + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, z) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, z) + } + } +} + +func testDiffAdd(t *testing.T, f tDiffAdd) { + const numTests = 1 << 9 + var w [5]fp.Elt + bigWork := [5]*big.Int{} + p := getModulus() + for i := 0; i < numTests; i++ { + for j := range w { + _, _ = rand.Read(w[j][:]) + bigWork[j] = conv.BytesLe2BigInt(w[j][:]) + } + b := uint(w[0][0] & 1) + + f(&w, b) + + diffAddBig(bigWork, p, b) + + for j := range bigWork { + got := conv.BytesLe2BigInt(w[j][:]) + got.Mod(got, p) + want := bigWork[j] + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, w, b) + } + } + } +} + +func testLadderStep(t *testing.T, f tLadderStep) { + const numTests = 1 << 9 + var w [5]fp.Elt + bigWork := [5]*big.Int{} + p := getModulus() + for i := 0; i < numTests; i++ { + for j := range w { + _, _ = rand.Read(w[j][:]) + bigWork[j] = conv.BytesLe2BigInt(w[j][:]) + } + b := uint(w[0][0] & 1) + + f(&w, b) + + ladderStepBig(bigWork, p, b) + + for j := range bigWork { + got := conv.BytesLe2BigInt(w[j][:]) + got.Mod(got, p) + want := bigWork[j] + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, w, b) + } + } + } +} diff --git a/src/circl/dh/x448/doc.go b/src/circl/dh/x448/doc.go new file mode 100644 index 00000000000..8b9279cba2e --- /dev/null +++ b/src/circl/dh/x448/doc.go @@ -0,0 +1,20 @@ +/* +Package x448 provides Diffie-Hellman functions as specified in RFC-7748. + +Validation of public keys. + +The Diffie-Hellman function, as described in RFC-7748 [1], works for any +public key. However, if a different protocol requires contributory +behaviour [2,3], then the public keys must be validated against low-order +points [3,4]. To do that, the Shared function performs this validation +internally and returns false when the public key is invalid (i.e., it +is a low-order point). + +References: + - [1] RFC7748 by Langley, Hamburg, Turner (https://rfc-editor.org/rfc/rfc7748.txt) + - [2] Curve25519 by Bernstein (https://cr.yp.to/ecdh.html) + - [3] Bernstein (https://cr.yp.to/ecdh.html#validate) + - [4] Cremers&Jackson (https://eprint.iacr.org/2019/526) + +*/ +package x448 diff --git a/src/circl/dh/x448/key.go b/src/circl/dh/x448/key.go new file mode 100644 index 00000000000..3c7967dd381 --- /dev/null +++ b/src/circl/dh/x448/key.go @@ -0,0 +1,46 @@ +package x448 + +import ( + "crypto/subtle" + + fp "circl/math/fp448" +) + +// Size is the length in bytes of a X448 key. +const Size = 56 + +// Key represents a X448 key. +type Key [Size]byte + +func (k *Key) clamp(in *Key) *Key { + *k = *in + k[0] &= 252 + k[55] |= 128 + return k +} + +// isValidPubKey verifies if the public key is not a low-order point. +func (k *Key) isValidPubKey() bool { + fp.Modp((*fp.Elt)(k)) + isLowOrder := false + for _, P := range lowOrderPoints { + isLowOrder = isLowOrder || subtle.ConstantTimeCompare(P[:], k[:]) != 0 + } + return !isLowOrder +} + +// KeyGen obtains a public key given a secret key. +func KeyGen(public, secret *Key) { + ladderJoye(public.clamp(secret)) +} + +// Shared calculates Alice's shared key from Alice's secret key and Bob's +// public key returning true on success. A failure case happens when the public +// key is a low-order point, thus the shared key is all-zeros and the function +// returns false. +func Shared(shared, secret, public *Key) bool { + validPk := *public + ok := validPk.isValidPubKey() + ladderMontgomery(shared.clamp(secret), &validPk) + return ok +} diff --git a/src/circl/dh/x448/key_test.go b/src/circl/dh/x448/key_test.go new file mode 100644 index 00000000000..370d73b35c5 --- /dev/null +++ b/src/circl/dh/x448/key_test.go @@ -0,0 +1,156 @@ +package x448 + +import ( + "crypto/rand" + "encoding/hex" + "encoding/json" + "flag" + "fmt" + "io" + "io/ioutil" + "os" + "testing" + + "circl/internal/test" +) + +func hexStr2Key(k *Key, s string) { + b, err := hex.DecodeString(s) + if err != nil { + panic("Can't convert string to key") + } + copy(k[:], b) +} + +// Indicates whether long tests should be run +var runLongTest = flag.Bool("long", false, "runs longer tests") + +type katVector struct { + Public string `json:"input"` + Shared string `json:"output"` + Private string `json:"scalar"` +} + +func TestRFC7748Kat(t *testing.T) { + const nameFile = "testdata/rfc7748_kat_test.json" + var kat []katVector + + jsonFile, err := os.Open(nameFile) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", nameFile, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + + err = json.Unmarshal(input, &kat) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", nameFile, err) + } + var priv, pub, got, want Key + for _, v := range kat { + hexStr2Key(&pub, v.Public) + hexStr2Key(&priv, v.Private) + Shared(&got, &priv, &pub) + hexStr2Key(&want, v.Shared) + if got != want { + test.ReportError(t, got, want, v) + } + } +} + +type katTimes struct { + Times uint32 `json:"times"` + Key string `json:"key"` +} + +func TestRFC7748Times(t *testing.T) { + const nameFile = "testdata/rfc7748_times_test.json" + jsonFile, err := os.Open(nameFile) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", nameFile, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + + var kat []katTimes + err = json.Unmarshal(input, &kat) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", nameFile, err) + } + var got, want Key + for _, v := range kat { + if !*runLongTest && v.Times == uint32(1000000) { + t.Log("Skipped one long test, add -long flag to run longer tests") + continue + } + u := Key{5} + k := u + r := u + for i := uint32(0); i < v.Times; i++ { + Shared(&r, &k, &u) + u = k + k = r + } + got = k + hexStr2Key(&want, v.Key) + + if got != want { + test.ReportError(t, got, want, v.Times) + } + } +} + +func TestBase(t *testing.T) { + testTimes := 1 << 10 + var got, want, secret Key + gen := Key{5} + for i := 0; i < testTimes; i++ { + _, _ = io.ReadFull(rand.Reader, secret[:]) + KeyGen(&got, &secret) + Shared(&want, &secret, &gen) + if got != want { + test.ReportError(t, got, want, secret) + } + } +} + +func BenchmarkX448(b *testing.B) { + var x, y, z Key + _, _ = io.ReadFull(rand.Reader, x[:]) + _, _ = io.ReadFull(rand.Reader, y[:]) + _, _ = io.ReadFull(rand.Reader, z[:]) + + b.Run("KeyGen", func(b *testing.B) { + for i := 0; i < b.N; i++ { + KeyGen(&x, &y) + } + }) + b.Run("Shared", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Shared(&z, &x, &y) + } + }) +} + +func Example_x448() { + var AliceSecret, BobSecret, + AlicePublic, BobPublic, + AliceShared, BobShared Key + + // Generating Alice's secret and public keys + _, _ = io.ReadFull(rand.Reader, AliceSecret[:]) + KeyGen(&AlicePublic, &AliceSecret) + + // Generating Bob's secret and public keys + _, _ = io.ReadFull(rand.Reader, BobSecret[:]) + KeyGen(&BobPublic, &BobSecret) + + // Deriving Alice's shared key + okA := Shared(&AliceShared, &AliceSecret, &BobPublic) + + // Deriving Bob's shared key + okB := Shared(&BobShared, &BobSecret, &AlicePublic) + + fmt.Println(AliceShared == BobShared && okA && okB) + // Output: true +} diff --git a/src/circl/dh/x448/table.go b/src/circl/dh/x448/table.go new file mode 100644 index 00000000000..3d55292e454 --- /dev/null +++ b/src/circl/dh/x448/table.go @@ -0,0 +1,458 @@ +package x448 + +import fp "circl/math/fp448" + +// tableGenerator contains the set of points: +// t[i] = (xi+1)/(xi-1), +// where (xi,yi) = 2^iG and G is the generator point +// Size = (448)*(448/8) = 25088 bytes. +var tableGenerator = [448 * fp.Size]byte{ + /* (2^ 0)P */ 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + /* (2^ 1)P */ 0x37, 0xfa, 0xaa, 0x0d, 0x86, 0xa6, 0x24, 0xe9, 0x6c, 0x95, 0x08, 0x34, 0xba, 0x1a, 0x81, 0x3a, 0xae, 0x01, 0xa5, 0xa7, 0x05, 0x85, 0x96, 0x00, 0x06, 0x5a, 0xd7, 0xff, 0xee, 0x8e, 0x8f, 0x94, 0xd2, 0xdc, 0xd7, 0xfc, 0xe7, 0xe5, 0x99, 0x1d, 0x05, 0x46, 0x43, 0xe8, 0xbc, 0x12, 0xb7, 0xeb, 0x30, 0x5e, 0x7a, 0x85, 0x68, 0xed, 0x9d, 0x28, + /* (2^ 2)P */ 0xf1, 0x7d, 0x08, 0x2b, 0x32, 0x4a, 0x62, 0x80, 0x36, 0xe7, 0xa4, 0x76, 0x5a, 0x2a, 0x1e, 0xf7, 0x9e, 0x3c, 0x40, 0x46, 0x9a, 0x1b, 0x61, 0xc1, 0xbf, 0x1a, 0x1b, 0xae, 0x91, 0x80, 0xa3, 0x76, 0x6c, 0xd4, 0x8f, 0xa4, 0xee, 0x26, 0x39, 0x23, 0xa4, 0x80, 0xf4, 0x66, 0x92, 0xe4, 0xe1, 0x18, 0x76, 0xc5, 0xe2, 0x19, 0x87, 0xd5, 0xc3, 0xe8, + /* (2^ 3)P */ 0xfb, 0xc9, 0xf0, 0x07, 0xf2, 0x93, 0xd8, 0x50, 0x36, 0xed, 0xfb, 0xbd, 0xb2, 0xd3, 0xfc, 0xdf, 0xd5, 0x2a, 0x6e, 0x26, 0x09, 0xce, 0xd4, 0x07, 0x64, 0x9f, 0x40, 0x74, 0xad, 0x98, 0x2f, 0x1c, 0xb6, 0xdc, 0x2d, 0x42, 0xff, 0xbf, 0x97, 0xd8, 0xdb, 0xef, 0x99, 0xca, 0x73, 0x99, 0x1a, 0x04, 0x3b, 0x56, 0x2c, 0x1f, 0x87, 0x9d, 0x9f, 0x03, + /* (2^ 4)P */ 0x4c, 0x35, 0x97, 0xf7, 0x81, 0x2c, 0x84, 0xa6, 0xe0, 0xcb, 0xce, 0x37, 0x4c, 0x21, 0x1c, 0x67, 0xfa, 0xab, 0x18, 0x4d, 0xef, 0xd0, 0xf0, 0x44, 0xa9, 0xfb, 0xc0, 0x8e, 0xda, 0x57, 0xa1, 0xd8, 0xeb, 0x87, 0xf4, 0x17, 0xea, 0x66, 0x0f, 0x16, 0xea, 0xcd, 0x5f, 0x3e, 0x88, 0xea, 0x09, 0x68, 0x40, 0xdf, 0x43, 0xcc, 0x54, 0x61, 0x58, 0xaa, + /* (2^ 5)P */ 0x8d, 0xe7, 0x59, 0xd7, 0x5e, 0x63, 0x37, 0xa7, 0x3f, 0xd1, 0x49, 0x85, 0x01, 0xdd, 0x5e, 0xb3, 0xe6, 0x29, 0xcb, 0x25, 0x93, 0xdd, 0x08, 0x96, 0x83, 0x52, 0x76, 0x85, 0xf5, 0x5d, 0x02, 0xbf, 0xe9, 0x6d, 0x15, 0x27, 0xc1, 0x09, 0xd1, 0x14, 0x4d, 0x6e, 0xe8, 0xaf, 0x59, 0x58, 0x34, 0x9d, 0x2a, 0x99, 0x85, 0x26, 0xbe, 0x4b, 0x1e, 0xb9, + /* (2^ 6)P */ 0x8d, 0xce, 0x94, 0xe2, 0x18, 0x56, 0x0d, 0x82, 0x8e, 0xdf, 0x85, 0x01, 0x8f, 0x93, 0x3c, 0xc6, 0xbd, 0x61, 0xfb, 0xf4, 0x22, 0xc5, 0x16, 0x87, 0xd1, 0xb1, 0x9e, 0x09, 0xc5, 0x83, 0x2e, 0x4a, 0x07, 0x88, 0xee, 0xe0, 0x29, 0x8d, 0x2e, 0x1f, 0x88, 0xad, 0xfd, 0x18, 0x93, 0xb7, 0xed, 0x42, 0x86, 0x78, 0xf0, 0xb8, 0x70, 0xbe, 0x01, 0x67, + /* (2^ 7)P */ 0xdf, 0x62, 0x2d, 0x94, 0xc7, 0x35, 0x23, 0xda, 0x27, 0xbb, 0x2b, 0xdb, 0x30, 0x80, 0x68, 0x16, 0xa3, 0xae, 0xd7, 0xd2, 0xa7, 0x7c, 0xbf, 0x6a, 0x1d, 0x83, 0xde, 0x96, 0x0a, 0x43, 0xb6, 0x30, 0x37, 0xd6, 0xee, 0x63, 0x59, 0x9a, 0xbf, 0xa3, 0x30, 0x6c, 0xaf, 0x0c, 0xee, 0x3d, 0xcb, 0x35, 0x4b, 0x55, 0x5f, 0x84, 0x85, 0xcb, 0x4f, 0x1e, + /* (2^ 8)P */ 0x9d, 0x04, 0x68, 0x89, 0xa4, 0xa9, 0x0d, 0x87, 0xc1, 0x70, 0xf1, 0xeb, 0xfb, 0x47, 0x0a, 0xf0, 0xde, 0x67, 0xb7, 0x94, 0xcd, 0x36, 0x43, 0xa5, 0x49, 0x43, 0x67, 0xc3, 0xee, 0x3c, 0x6b, 0xec, 0xd0, 0x1a, 0xf4, 0xad, 0xef, 0x06, 0x4a, 0xe8, 0x46, 0x24, 0xd7, 0x93, 0xbf, 0xf0, 0xe3, 0x81, 0x61, 0xec, 0xea, 0x64, 0xfe, 0x67, 0xeb, 0xc7, + /* (2^ 9)P */ 0x95, 0x45, 0x79, 0xcf, 0x2c, 0xfd, 0x9b, 0xfe, 0x84, 0x46, 0x4b, 0x8f, 0xa1, 0xcf, 0xc3, 0x04, 0x94, 0x78, 0xdb, 0xc9, 0xa6, 0x01, 0x75, 0xa4, 0xb4, 0x93, 0x72, 0x43, 0xa7, 0x7d, 0xda, 0x31, 0x38, 0x54, 0xab, 0x4e, 0x3f, 0x89, 0xa6, 0xab, 0x57, 0xc0, 0x16, 0x65, 0xdb, 0x92, 0x96, 0xe4, 0xc8, 0xae, 0xe7, 0x4c, 0x7a, 0xeb, 0xbb, 0x5a, + /* (2^ 10)P */ 0xbe, 0xfe, 0x86, 0xc3, 0x97, 0xe0, 0x6a, 0x18, 0x20, 0x21, 0xca, 0x22, 0x55, 0xa1, 0xeb, 0xf5, 0x74, 0xe5, 0xc9, 0x59, 0xa7, 0x92, 0x65, 0x15, 0x08, 0x71, 0xd1, 0x09, 0x7e, 0x83, 0xfc, 0xbc, 0x5a, 0x93, 0x38, 0x0d, 0x43, 0x42, 0xfd, 0x76, 0x30, 0xe8, 0x63, 0x60, 0x09, 0x8d, 0x6c, 0xd3, 0xf8, 0x56, 0x3d, 0x68, 0x47, 0xab, 0xa0, 0x1d, + /* (2^ 11)P */ 0x38, 0x50, 0x1c, 0xb1, 0xac, 0x88, 0x8f, 0x38, 0xe3, 0x69, 0xe6, 0xfc, 0x4f, 0x8f, 0xe1, 0x9b, 0xb1, 0x1a, 0x09, 0x39, 0x19, 0xdf, 0xcd, 0x98, 0x7b, 0x64, 0x42, 0xf6, 0x11, 0xea, 0xc7, 0xe8, 0x92, 0x65, 0x00, 0x2c, 0x75, 0xb5, 0x94, 0x1e, 0x5b, 0xa6, 0x66, 0x81, 0x77, 0xf3, 0x39, 0x94, 0xac, 0xbd, 0xe4, 0x2a, 0x66, 0x84, 0x9c, 0x60, + /* (2^ 12)P */ 0xb5, 0xb6, 0xd9, 0x03, 0x67, 0xa4, 0xa8, 0x0a, 0x4a, 0x2b, 0x9d, 0xfa, 0x13, 0xe1, 0x99, 0x25, 0x4a, 0x5c, 0x67, 0xb9, 0xb2, 0xb7, 0xdd, 0x1e, 0xaf, 0xeb, 0x63, 0x41, 0xb6, 0xb9, 0xa0, 0x87, 0x0a, 0xe0, 0x06, 0x07, 0xaa, 0x97, 0xf8, 0xf9, 0x38, 0x4f, 0xdf, 0x0c, 0x40, 0x7c, 0xc3, 0x98, 0xa9, 0x74, 0xf1, 0x5d, 0xda, 0xd1, 0xc0, 0x0a, + /* (2^ 13)P */ 0xf2, 0x0a, 0xab, 0xab, 0x94, 0x50, 0xf0, 0xa3, 0x6f, 0xc6, 0x66, 0xba, 0xa6, 0xdc, 0x44, 0xdd, 0xd6, 0x08, 0xf4, 0xd3, 0xed, 0xb1, 0x40, 0x93, 0xee, 0xf6, 0xb8, 0x8e, 0xb4, 0x7c, 0xb9, 0x82, 0xc9, 0x9d, 0x45, 0x3b, 0x8e, 0x10, 0xcb, 0x70, 0x1e, 0xba, 0x3c, 0x62, 0x50, 0xda, 0xa9, 0x93, 0xb5, 0xd7, 0xd0, 0x6f, 0x29, 0x52, 0x95, 0xae, + /* (2^ 14)P */ 0x14, 0x68, 0x69, 0x23, 0xa8, 0x44, 0x87, 0x9e, 0x22, 0x91, 0xe8, 0x92, 0xdf, 0xf7, 0xae, 0xba, 0x1c, 0x96, 0xe1, 0xc3, 0x94, 0xed, 0x6c, 0x95, 0xae, 0x96, 0xa7, 0x15, 0x9f, 0xf1, 0x17, 0x11, 0x92, 0x42, 0xd5, 0xcd, 0x18, 0xe7, 0xa9, 0xb5, 0x2f, 0xcd, 0xde, 0x6c, 0xc9, 0x7d, 0xfc, 0x7e, 0xbd, 0x7f, 0x10, 0x3d, 0x01, 0x00, 0x8d, 0x95, + /* (2^ 15)P */ 0x3b, 0x76, 0x72, 0xae, 0xaf, 0x84, 0xf2, 0xf7, 0xd1, 0x6d, 0x13, 0x9c, 0x47, 0xe1, 0xb7, 0xa3, 0x19, 0x16, 0xee, 0x75, 0x45, 0xf6, 0x1a, 0x7b, 0x78, 0x49, 0x79, 0x05, 0x86, 0xf0, 0x7f, 0x9f, 0xfc, 0xc4, 0xbd, 0x86, 0xf3, 0x41, 0xa7, 0xfe, 0x01, 0xd5, 0x67, 0x16, 0x10, 0x5b, 0xa5, 0x16, 0xf3, 0x7f, 0x60, 0xce, 0xd2, 0x0c, 0x8e, 0x4b, + /* (2^ 16)P */ 0x4a, 0x07, 0x99, 0x4a, 0x0f, 0x74, 0x91, 0x14, 0x68, 0xb9, 0x48, 0xb7, 0x44, 0x77, 0x9b, 0x4a, 0xe0, 0x68, 0x0e, 0x43, 0x4d, 0x98, 0x98, 0xbf, 0xa8, 0x3a, 0xb7, 0x6d, 0x2a, 0x9a, 0x77, 0x5f, 0x62, 0xf5, 0x6b, 0x4a, 0xb7, 0x7d, 0xe5, 0x09, 0x6b, 0xc0, 0x8b, 0x9c, 0x88, 0x37, 0x33, 0xf2, 0x41, 0xac, 0x22, 0x1f, 0xcf, 0x3b, 0x82, 0x34, + /* (2^ 17)P */ 0x00, 0xc3, 0x78, 0x42, 0x32, 0x2e, 0xdc, 0xda, 0xb1, 0x96, 0x21, 0xa4, 0xe4, 0xbb, 0xe9, 0x9d, 0xbb, 0x0f, 0x93, 0xed, 0x26, 0x3d, 0xb5, 0xdb, 0x94, 0x31, 0x37, 0x07, 0xa2, 0xb2, 0xd5, 0x99, 0x0d, 0x93, 0xe1, 0xce, 0x3f, 0x0b, 0x96, 0x82, 0x47, 0xfe, 0x60, 0x6f, 0x8f, 0x61, 0x88, 0xd7, 0x05, 0x95, 0x0b, 0x46, 0x06, 0xb7, 0x32, 0x06, + /* (2^ 18)P */ 0x44, 0xf5, 0x34, 0xdf, 0x2f, 0x9c, 0x5d, 0x9f, 0x53, 0x5c, 0x42, 0x8f, 0xc9, 0xdc, 0xd8, 0x40, 0xa2, 0xe7, 0x6a, 0x4a, 0x05, 0xf7, 0x86, 0x77, 0x2b, 0xae, 0x37, 0xed, 0x48, 0xfb, 0xf7, 0x62, 0x7c, 0x17, 0x59, 0x92, 0x41, 0x61, 0x93, 0x38, 0x30, 0xd1, 0xef, 0x54, 0x54, 0x03, 0x17, 0x57, 0x91, 0x15, 0x11, 0x33, 0xb5, 0xfa, 0xfb, 0x17, + /* (2^ 19)P */ 0x29, 0xbb, 0xd4, 0xb4, 0x9c, 0xf1, 0x72, 0x94, 0xce, 0x6a, 0x29, 0xa8, 0x89, 0x18, 0x19, 0xf7, 0xb7, 0xcc, 0xee, 0x9a, 0x02, 0xe3, 0xc0, 0xb1, 0xe0, 0xee, 0x83, 0x78, 0xb4, 0x9e, 0x07, 0x87, 0xdf, 0xb0, 0x82, 0x26, 0x4e, 0xa4, 0x0c, 0x33, 0xaf, 0x40, 0x59, 0xb6, 0xdd, 0x52, 0x45, 0xf0, 0xb4, 0xf6, 0xe8, 0x4e, 0x4e, 0x79, 0x1a, 0x5d, + /* (2^ 20)P */ 0x27, 0x33, 0x4d, 0x4c, 0x6b, 0x4f, 0x75, 0xb1, 0xbc, 0x1f, 0xab, 0x5b, 0x2b, 0xf0, 0x1c, 0x57, 0x86, 0xdd, 0xfd, 0x60, 0xb0, 0x8c, 0xe7, 0x9a, 0xe5, 0x5c, 0xeb, 0x11, 0x3a, 0xda, 0x22, 0x25, 0x99, 0x06, 0x8d, 0xf4, 0xaf, 0x29, 0x7a, 0xc9, 0xe5, 0xd2, 0x16, 0x9e, 0xd4, 0x63, 0x1d, 0x64, 0xa6, 0x47, 0x96, 0x37, 0x6f, 0x93, 0x2c, 0xcc, + /* (2^ 21)P */ 0xc1, 0x94, 0x74, 0x86, 0x75, 0xf2, 0x91, 0x58, 0x23, 0x85, 0x63, 0x76, 0x54, 0xc7, 0xb4, 0x8c, 0xbc, 0x4e, 0xc4, 0xa7, 0xba, 0xa0, 0x55, 0x26, 0x71, 0xd5, 0x33, 0x72, 0xc9, 0xad, 0x1e, 0xf9, 0x5d, 0x78, 0x70, 0x93, 0x4e, 0x85, 0xfc, 0x39, 0x06, 0x73, 0x76, 0xff, 0xe8, 0x64, 0x69, 0x42, 0x45, 0xb2, 0x69, 0xb5, 0x32, 0xe7, 0x2c, 0xde, + /* (2^ 22)P */ 0xde, 0x16, 0xd8, 0x33, 0x49, 0x32, 0xe9, 0x0e, 0x3a, 0x60, 0xee, 0x2e, 0x24, 0x75, 0xe3, 0x9c, 0x92, 0x07, 0xdb, 0xad, 0x92, 0xf5, 0x11, 0xdf, 0xdb, 0xb0, 0x17, 0x5c, 0xd6, 0x1a, 0x70, 0x00, 0xb7, 0xe2, 0x18, 0xec, 0xdc, 0xc2, 0x02, 0x93, 0xb3, 0xc8, 0x3f, 0x4f, 0x1b, 0x96, 0xe6, 0x33, 0x8c, 0xfb, 0xcc, 0xa5, 0x4e, 0xe8, 0xe7, 0x11, + /* (2^ 23)P */ 0x05, 0x7a, 0x74, 0x52, 0xf8, 0xdf, 0x0d, 0x7c, 0x6a, 0x1a, 0x4e, 0x9a, 0x02, 0x1d, 0xae, 0x77, 0xf8, 0x8e, 0xf9, 0xa2, 0x38, 0x54, 0x50, 0xb2, 0x2c, 0x08, 0x9d, 0x9b, 0x9f, 0xfb, 0x2b, 0x06, 0xde, 0x9d, 0xc2, 0x03, 0x0b, 0x22, 0x2b, 0x10, 0x5b, 0x3a, 0x73, 0x29, 0x8e, 0x3e, 0x37, 0x08, 0x2c, 0x3b, 0xf8, 0x80, 0xc1, 0x66, 0x1e, 0x98, + /* (2^ 24)P */ 0xd8, 0xd6, 0x3e, 0xcd, 0x63, 0x8c, 0x2b, 0x41, 0x81, 0xc0, 0x0c, 0x06, 0x87, 0xd6, 0xe7, 0x92, 0xfe, 0xf1, 0x0c, 0x4a, 0x84, 0x5b, 0xaf, 0x40, 0x53, 0x6f, 0x60, 0xd6, 0x6b, 0x76, 0x4b, 0xc2, 0xad, 0xc9, 0xb6, 0xb6, 0x6a, 0xa2, 0xb3, 0xf5, 0xf5, 0xc2, 0x55, 0x83, 0xb2, 0xd3, 0xe9, 0x41, 0x6c, 0x63, 0x51, 0xb8, 0x81, 0x74, 0xc8, 0x2c, + /* (2^ 25)P */ 0xb2, 0xaf, 0x1c, 0xee, 0x07, 0xb0, 0x58, 0xa8, 0x2c, 0x6a, 0xc9, 0x2d, 0x62, 0x28, 0x75, 0x0c, 0x40, 0xb6, 0x11, 0x33, 0x96, 0x80, 0x28, 0x6d, 0xd5, 0x9e, 0x87, 0x90, 0x01, 0x66, 0x1d, 0x1c, 0xf8, 0xb4, 0x92, 0xac, 0x38, 0x18, 0x05, 0xc2, 0x4c, 0x4b, 0x54, 0x7d, 0x80, 0x46, 0x87, 0x2d, 0x99, 0x8e, 0x70, 0x80, 0x69, 0x71, 0x8b, 0xed, + /* (2^ 26)P */ 0x37, 0xa7, 0x6b, 0x71, 0x36, 0x75, 0x8e, 0xff, 0x0f, 0x42, 0xda, 0x5a, 0x46, 0xa6, 0x97, 0x79, 0x7e, 0x30, 0xb3, 0x8f, 0xc7, 0x3a, 0xa0, 0xcb, 0x1d, 0x9c, 0x78, 0x77, 0x36, 0xc2, 0xe7, 0xf4, 0x2f, 0x29, 0x07, 0xb1, 0x07, 0xfd, 0xed, 0x1b, 0x39, 0x77, 0x06, 0x38, 0x77, 0x0f, 0x50, 0x31, 0x12, 0xbf, 0x92, 0xbf, 0x72, 0x79, 0x54, 0xa9, + /* (2^ 27)P */ 0xbd, 0x4d, 0x46, 0x6b, 0x1a, 0x80, 0x46, 0x2d, 0xed, 0xfd, 0x64, 0x6d, 0x94, 0xbc, 0x4a, 0x6e, 0x0c, 0x12, 0xf6, 0x12, 0xab, 0x54, 0x88, 0xd3, 0x85, 0xac, 0x51, 0xae, 0x6f, 0xca, 0xc4, 0xb7, 0xec, 0x22, 0x54, 0x6d, 0x80, 0xb2, 0x1c, 0x63, 0x33, 0x76, 0x6b, 0x8e, 0x6d, 0x59, 0xcd, 0x73, 0x92, 0x5f, 0xff, 0xad, 0x10, 0x35, 0x70, 0x5f, + /* (2^ 28)P */ 0xb3, 0x84, 0xde, 0xc8, 0x04, 0x43, 0x63, 0xfa, 0x29, 0xd9, 0xf0, 0x69, 0x65, 0x5a, 0x0c, 0xe8, 0x2e, 0x0b, 0xfe, 0xb0, 0x7a, 0x42, 0xb3, 0xc3, 0xfc, 0xe6, 0xb8, 0x92, 0x29, 0xae, 0xed, 0xec, 0xd5, 0xe8, 0x4a, 0xa1, 0xbd, 0x3b, 0xd3, 0xc0, 0x07, 0xab, 0x65, 0x65, 0x35, 0x9a, 0xa6, 0x5e, 0x78, 0x18, 0x76, 0x1c, 0x15, 0x49, 0xe6, 0x75, + /* (2^ 29)P */ 0x45, 0xb3, 0x92, 0xa9, 0xc3, 0xb8, 0x11, 0x68, 0x64, 0x3a, 0x83, 0x5d, 0xa8, 0x94, 0x6a, 0x9d, 0xaa, 0x27, 0x9f, 0x98, 0x5d, 0xc0, 0x29, 0xf0, 0xc0, 0x4b, 0x14, 0x3c, 0x05, 0xe7, 0xf8, 0xbd, 0x38, 0x22, 0x96, 0x75, 0x65, 0x5e, 0x0d, 0x3f, 0xbb, 0x6f, 0xe8, 0x3f, 0x96, 0x76, 0x9f, 0xba, 0xd9, 0x44, 0x92, 0x96, 0x22, 0xe7, 0x52, 0xe7, + /* (2^ 30)P */ 0xf4, 0xa3, 0x95, 0x90, 0x47, 0xdf, 0x7d, 0xdc, 0xf4, 0x13, 0x87, 0x67, 0x7d, 0x4f, 0x9d, 0xa0, 0x00, 0x46, 0x72, 0x08, 0xc3, 0xa2, 0x7a, 0x3e, 0xe7, 0x6d, 0x52, 0x7c, 0x11, 0x36, 0x50, 0x83, 0x89, 0x64, 0xcb, 0x1f, 0x08, 0x83, 0x46, 0xcb, 0xac, 0xa6, 0xd8, 0x9c, 0x1b, 0xe8, 0x05, 0x47, 0xc7, 0x26, 0x06, 0x83, 0x39, 0xe9, 0xb1, 0x1c, + /* (2^ 31)P */ 0x11, 0xe8, 0xc8, 0x42, 0xbf, 0x30, 0x9c, 0xa3, 0xf1, 0x85, 0x96, 0x95, 0x4f, 0x4f, 0x52, 0xa2, 0xf5, 0x8b, 0x68, 0x24, 0x16, 0xac, 0x9b, 0xa9, 0x27, 0x28, 0x0e, 0x84, 0x03, 0x46, 0x22, 0x5f, 0xf7, 0x0d, 0xa6, 0x85, 0x88, 0xc1, 0x45, 0x4b, 0x85, 0x1a, 0x10, 0x7f, 0xc9, 0x94, 0x20, 0xb0, 0x04, 0x28, 0x12, 0x30, 0xb9, 0xe6, 0x40, 0x6b, + /* (2^ 32)P */ 0xac, 0x1b, 0x57, 0xb6, 0x42, 0xdb, 0x81, 0x8d, 0x76, 0xfd, 0x9b, 0x1c, 0x29, 0x30, 0xd5, 0x3a, 0xcc, 0x53, 0xd9, 0x26, 0x7a, 0x0f, 0x9c, 0x2e, 0x79, 0xf5, 0x62, 0xeb, 0x61, 0x9d, 0x9b, 0x80, 0x39, 0xcd, 0x60, 0x2e, 0x1f, 0x08, 0x22, 0xbc, 0x19, 0xb3, 0x2a, 0x43, 0x44, 0xf2, 0x4e, 0x66, 0xf4, 0x36, 0xa6, 0xa7, 0xbc, 0xa4, 0x15, 0x7e, + /* (2^ 33)P */ 0xc1, 0x90, 0x8a, 0xde, 0xff, 0x78, 0xc3, 0x73, 0x16, 0xee, 0x76, 0xa0, 0x84, 0x60, 0x8d, 0xe6, 0x82, 0x0f, 0xde, 0x4e, 0xc5, 0x99, 0x34, 0x06, 0x90, 0x44, 0x55, 0xf8, 0x91, 0xd8, 0xe1, 0xe4, 0x2c, 0x8a, 0xde, 0x94, 0x1e, 0x78, 0x25, 0x3d, 0xfd, 0xd8, 0x59, 0x7d, 0xaf, 0x6e, 0xbe, 0x96, 0xbe, 0x3c, 0x16, 0x23, 0x0f, 0x4c, 0xa4, 0x28, + /* (2^ 34)P */ 0xba, 0x11, 0x35, 0x57, 0x03, 0xb6, 0xf4, 0x24, 0x89, 0xb8, 0x5a, 0x0d, 0x50, 0x9c, 0xaa, 0x51, 0x7f, 0xa4, 0x0e, 0xfc, 0x71, 0xb3, 0x3b, 0xf1, 0x96, 0x50, 0x23, 0x15, 0xf5, 0xf5, 0xd4, 0x23, 0xdc, 0x8b, 0x26, 0x9e, 0xae, 0xb7, 0x50, 0xcd, 0xc4, 0x25, 0xf6, 0x75, 0x40, 0x9c, 0x37, 0x79, 0x33, 0x60, 0xd4, 0x4b, 0x13, 0x32, 0xee, 0xe2, + /* (2^ 35)P */ 0x43, 0xb8, 0x56, 0x59, 0xf0, 0x68, 0x23, 0xb3, 0xea, 0x70, 0x58, 0x4c, 0x1e, 0x5a, 0x16, 0x54, 0x03, 0xb2, 0xf4, 0x73, 0xb6, 0xd9, 0x5c, 0x9c, 0x6f, 0xcf, 0x82, 0x2e, 0x54, 0x15, 0x46, 0x2c, 0xa3, 0xda, 0x4e, 0x87, 0xf5, 0x2b, 0xba, 0x91, 0xa3, 0xa0, 0x89, 0xba, 0x48, 0x2b, 0xfa, 0x64, 0x02, 0x7f, 0x78, 0x03, 0xd1, 0xe8, 0x3b, 0xe9, + /* (2^ 36)P */ 0x15, 0xa4, 0x71, 0xd4, 0x0c, 0x24, 0xe9, 0x07, 0xa1, 0x43, 0xf4, 0x7f, 0xbb, 0xa2, 0xa6, 0x6b, 0xfa, 0xb7, 0xea, 0x58, 0xd1, 0x96, 0xb0, 0x24, 0x5c, 0xc7, 0x37, 0x4e, 0x60, 0x0f, 0x40, 0xf2, 0x2f, 0x44, 0x70, 0xea, 0x80, 0x63, 0xfe, 0xfc, 0x46, 0x59, 0x12, 0x27, 0xb5, 0x27, 0xfd, 0xb7, 0x73, 0x0b, 0xca, 0x8b, 0xc2, 0xd3, 0x71, 0x08, + /* (2^ 37)P */ 0x26, 0x0e, 0xd7, 0x52, 0x6f, 0xf1, 0xf2, 0x9d, 0xb8, 0x3d, 0xbd, 0xd4, 0x75, 0x97, 0xd8, 0xbf, 0xa8, 0x86, 0x96, 0xa5, 0x80, 0xa0, 0x45, 0x75, 0xf6, 0x77, 0x71, 0xdb, 0x77, 0x96, 0x55, 0x99, 0x31, 0xd0, 0x4f, 0x34, 0xf4, 0x35, 0x39, 0x41, 0xd3, 0x7d, 0xf7, 0xe2, 0x74, 0xde, 0xbe, 0x5b, 0x1f, 0x39, 0x10, 0x21, 0xa3, 0x4d, 0x3b, 0xc8, + /* (2^ 38)P */ 0x04, 0x00, 0x2a, 0x45, 0xb2, 0xaf, 0x9b, 0x18, 0x6a, 0xeb, 0x96, 0x28, 0xa4, 0x77, 0xd0, 0x13, 0xcf, 0x17, 0x65, 0xe8, 0xc5, 0x81, 0x28, 0xad, 0x39, 0x7a, 0x0b, 0xaa, 0x55, 0x2b, 0xf3, 0xfc, 0x86, 0x40, 0xad, 0x0d, 0x1e, 0x28, 0xa2, 0x2d, 0xc5, 0xd6, 0x04, 0x15, 0xa2, 0x30, 0x3d, 0x12, 0x8e, 0xd6, 0xb5, 0xf7, 0x69, 0xbb, 0x84, 0x20, + /* (2^ 39)P */ 0xd7, 0x7a, 0x77, 0x2c, 0xfb, 0x81, 0x80, 0xe9, 0x1e, 0xc6, 0x36, 0x31, 0x79, 0xc3, 0x7c, 0xa9, 0x57, 0x6b, 0xb5, 0x70, 0xfb, 0xe4, 0xa1, 0xff, 0xfd, 0x21, 0xa5, 0x7c, 0xfa, 0x44, 0xba, 0x0d, 0x96, 0x3d, 0xc4, 0x5c, 0x39, 0x52, 0x87, 0xd7, 0x22, 0x0f, 0x52, 0x88, 0x91, 0x87, 0x96, 0xac, 0xfa, 0x3b, 0xdf, 0xdc, 0x83, 0x8c, 0x99, 0x29, + /* (2^ 40)P */ 0x98, 0x6b, 0x3a, 0x8d, 0x83, 0x17, 0xe1, 0x62, 0xd8, 0x80, 0x4c, 0x97, 0xce, 0x6b, 0xaa, 0x10, 0xa7, 0xc4, 0xe9, 0xeb, 0xa5, 0xfb, 0xc9, 0xdd, 0x2d, 0xeb, 0xfc, 0x9a, 0x71, 0xcd, 0x68, 0x6e, 0xc0, 0x35, 0x64, 0x62, 0x1b, 0x95, 0x12, 0xe8, 0x53, 0xec, 0xf0, 0xf4, 0x86, 0x86, 0x78, 0x18, 0xc4, 0xc6, 0xbc, 0x5a, 0x59, 0x8f, 0x7c, 0x7e, + /* (2^ 41)P */ 0x7f, 0xd7, 0x1e, 0xc5, 0x83, 0xdc, 0x1f, 0xbe, 0x0b, 0xcf, 0x2e, 0x01, 0x01, 0xed, 0xac, 0x17, 0x3b, 0xed, 0xa4, 0x30, 0x96, 0x0e, 0x14, 0x7e, 0x19, 0x2b, 0xa5, 0x67, 0x1e, 0xb3, 0x34, 0x03, 0xa8, 0xbb, 0x0a, 0x7d, 0x08, 0x2d, 0xd5, 0x53, 0x19, 0x6f, 0x13, 0xd5, 0xc0, 0x90, 0x8a, 0xcc, 0xc9, 0x5c, 0xab, 0x24, 0xd7, 0x03, 0xf6, 0x57, + /* (2^ 42)P */ 0x49, 0xcb, 0xb4, 0x96, 0x5f, 0xa6, 0xf8, 0x71, 0x6f, 0x59, 0xad, 0x05, 0x24, 0x2d, 0xaf, 0x67, 0xa8, 0xbe, 0x95, 0xdf, 0x0d, 0x28, 0x5a, 0x7f, 0x6e, 0x87, 0x8c, 0x6e, 0x67, 0x0c, 0xf4, 0xe0, 0x1c, 0x30, 0xc2, 0x66, 0xae, 0x20, 0xa1, 0x34, 0xec, 0x9c, 0xbc, 0xae, 0x3d, 0xa1, 0x28, 0x28, 0x95, 0x1d, 0xc9, 0x3a, 0xa8, 0xfd, 0xfc, 0xa1, + /* (2^ 43)P */ 0xe2, 0x2b, 0x9d, 0xed, 0x02, 0x99, 0x67, 0xbb, 0x2e, 0x16, 0x62, 0x05, 0x70, 0xc7, 0x27, 0xb9, 0x1c, 0x3f, 0xf2, 0x11, 0x01, 0xd8, 0x51, 0xa4, 0x18, 0x92, 0xa9, 0x5d, 0xfb, 0xa9, 0xe4, 0x42, 0xba, 0x38, 0x34, 0x1a, 0x4a, 0xc5, 0x6a, 0x37, 0xde, 0xa7, 0x0c, 0xb4, 0x7e, 0x7f, 0xde, 0xa6, 0xee, 0xcd, 0x55, 0x57, 0x05, 0x06, 0xfd, 0x5d, + /* (2^ 44)P */ 0x2f, 0x32, 0xcf, 0x2e, 0x2c, 0x7b, 0xbe, 0x9a, 0x0c, 0x57, 0x35, 0xf8, 0x87, 0xda, 0x9c, 0xec, 0x48, 0xf2, 0xbb, 0xe2, 0xda, 0x10, 0x58, 0x20, 0xc6, 0xd3, 0x87, 0xe9, 0xc7, 0x26, 0xd1, 0x9a, 0x46, 0x87, 0x90, 0xda, 0xdc, 0xde, 0xc3, 0xb3, 0xf2, 0xe8, 0x6f, 0x4a, 0xe6, 0xe8, 0x9d, 0x98, 0x36, 0x20, 0x03, 0x47, 0x15, 0x3f, 0x64, 0x59, + /* (2^ 45)P */ 0xd4, 0x71, 0x49, 0x0a, 0x67, 0x97, 0xaa, 0x3f, 0xf4, 0x1b, 0x3a, 0x6e, 0x5e, 0x17, 0xcc, 0x0a, 0x8f, 0x81, 0x6a, 0x41, 0x38, 0x77, 0x40, 0x8a, 0x11, 0x42, 0x62, 0xd2, 0x50, 0x32, 0x79, 0x78, 0x28, 0xc2, 0x2e, 0x10, 0x01, 0x94, 0x30, 0x4f, 0x7f, 0x18, 0x17, 0x56, 0x85, 0x4e, 0xad, 0xf7, 0xcb, 0x87, 0x3c, 0x3f, 0x50, 0x2c, 0xc0, 0xba, + /* (2^ 46)P */ 0xbc, 0x30, 0x8e, 0x65, 0x8e, 0x57, 0x5b, 0x38, 0x7a, 0xd4, 0x95, 0x52, 0x7a, 0x32, 0x59, 0x69, 0xcd, 0x9d, 0x47, 0x34, 0x5b, 0x55, 0xa5, 0x24, 0x60, 0xdd, 0xc0, 0xc1, 0x62, 0x73, 0x44, 0xae, 0x4c, 0x9c, 0x65, 0x55, 0x1b, 0x9d, 0x8a, 0x29, 0xb0, 0x1a, 0x52, 0xa8, 0xf1, 0xe6, 0x9a, 0xb3, 0xf6, 0xa3, 0xc9, 0x0a, 0x70, 0x7d, 0x0f, 0xee, + /* (2^ 47)P */ 0x77, 0xd3, 0xe5, 0x8e, 0xfa, 0x00, 0xeb, 0x1b, 0x7f, 0xdc, 0x68, 0x3f, 0x92, 0xbd, 0xb7, 0x0b, 0xb7, 0xb5, 0x24, 0xdf, 0xc5, 0x67, 0x53, 0xd4, 0x36, 0x79, 0xc4, 0x7b, 0x57, 0xbc, 0x99, 0x97, 0x60, 0xef, 0xe4, 0x01, 0xa1, 0xa7, 0xaa, 0x12, 0x36, 0x29, 0xb1, 0x03, 0xc2, 0x83, 0x1c, 0x2b, 0x83, 0xef, 0x2e, 0x2c, 0x23, 0x92, 0xfd, 0xd1, + /* (2^ 48)P */ 0x94, 0xef, 0x03, 0x59, 0xfa, 0x8a, 0x18, 0x76, 0xee, 0x58, 0x08, 0x4d, 0x44, 0xce, 0xf1, 0x52, 0x33, 0x49, 0xf6, 0x69, 0x71, 0xe3, 0xa9, 0xbc, 0x86, 0xe3, 0x43, 0xde, 0x33, 0x7b, 0x90, 0x8b, 0x3e, 0x7d, 0xd5, 0x4a, 0xf0, 0x23, 0x99, 0xa6, 0xea, 0x5f, 0x08, 0xe5, 0xb9, 0x49, 0x8b, 0x0d, 0x6a, 0x21, 0xab, 0x07, 0x62, 0xcd, 0xc4, 0xbe, + /* (2^ 49)P */ 0x61, 0xbf, 0x70, 0x14, 0xfa, 0x4e, 0x9e, 0x7c, 0x0c, 0xf8, 0xb2, 0x48, 0x71, 0x62, 0x83, 0xd6, 0xd1, 0xdc, 0x9c, 0x29, 0x66, 0xb1, 0x34, 0x9c, 0x8d, 0xe6, 0x88, 0xaf, 0xbe, 0xdc, 0x4d, 0xeb, 0xb0, 0xe7, 0x28, 0xae, 0xb2, 0x05, 0x56, 0xc6, 0x0e, 0x10, 0x26, 0xab, 0x2c, 0x59, 0x72, 0x03, 0x66, 0xfe, 0x8f, 0x2c, 0x51, 0x2d, 0xdc, 0xae, + /* (2^ 50)P */ 0xdc, 0x63, 0xf1, 0x8b, 0x5c, 0x65, 0x0b, 0xf1, 0xa6, 0x22, 0xe2, 0xd9, 0xdb, 0x49, 0xb1, 0x3c, 0x47, 0xc2, 0xfe, 0xac, 0x86, 0x07, 0x52, 0xec, 0xb0, 0x08, 0x69, 0xfb, 0xd1, 0x06, 0xdc, 0x48, 0x5c, 0x3d, 0xb2, 0x4d, 0xb8, 0x1a, 0x4e, 0xda, 0xb9, 0xc1, 0x2b, 0xab, 0x4b, 0x62, 0x81, 0x21, 0x9a, 0xfc, 0x3d, 0x39, 0x83, 0x11, 0x36, 0xeb, + /* (2^ 51)P */ 0x94, 0xf3, 0x17, 0xef, 0xf9, 0x60, 0x54, 0xc3, 0xd7, 0x27, 0x35, 0xc5, 0x98, 0x5e, 0xf6, 0x63, 0x6c, 0xa0, 0x4a, 0xd3, 0xa3, 0x98, 0xd9, 0x42, 0xe3, 0xf1, 0xf8, 0x81, 0x96, 0xa9, 0xea, 0x6d, 0x4b, 0x8e, 0x33, 0xca, 0x94, 0x0d, 0xa0, 0xf7, 0xbb, 0x64, 0xa3, 0x36, 0x6f, 0xdc, 0x5a, 0x94, 0x42, 0xca, 0x06, 0xb2, 0x2b, 0x9a, 0x9f, 0x71, + /* (2^ 52)P */ 0xec, 0xdb, 0xa6, 0x1f, 0xdf, 0x15, 0x36, 0xa3, 0xda, 0x8a, 0x7a, 0xb6, 0xa7, 0xe3, 0xaf, 0x52, 0xe0, 0x8d, 0xe8, 0xf2, 0x44, 0x20, 0xeb, 0xa1, 0x20, 0xc4, 0x65, 0x3c, 0x7c, 0x6c, 0x49, 0xed, 0x2f, 0x66, 0x23, 0x68, 0x61, 0x91, 0x40, 0x9f, 0x50, 0x19, 0xd1, 0x84, 0xa7, 0xe2, 0xed, 0x34, 0x37, 0xe3, 0xe4, 0x11, 0x7f, 0x87, 0x55, 0x0f, + /* (2^ 53)P */ 0xb3, 0xa1, 0x0f, 0xb0, 0x48, 0xc0, 0x4d, 0x96, 0xa7, 0xcf, 0x5a, 0x81, 0xb8, 0x4a, 0x46, 0xef, 0x0a, 0xd3, 0x40, 0x7e, 0x02, 0xe3, 0x63, 0xaa, 0x50, 0xd1, 0x2a, 0x37, 0x22, 0x4a, 0x7f, 0x4f, 0xb6, 0xf9, 0x01, 0x82, 0x78, 0x3d, 0x93, 0x14, 0x11, 0x8a, 0x90, 0x60, 0xcd, 0x45, 0x4e, 0x7b, 0x42, 0xb9, 0x3e, 0x6e, 0x68, 0x1f, 0x36, 0x41, + /* (2^ 54)P */ 0x13, 0x73, 0x0e, 0x4f, 0x79, 0x93, 0x9e, 0x29, 0x70, 0x7b, 0x4a, 0x59, 0x1a, 0x9a, 0xf4, 0x55, 0x08, 0xf0, 0xdb, 0x17, 0x58, 0xec, 0x64, 0xad, 0x7f, 0x29, 0xeb, 0x3f, 0x85, 0x4e, 0x60, 0x28, 0x98, 0x1f, 0x73, 0x4e, 0xe6, 0xa8, 0xab, 0xd5, 0xd6, 0xfc, 0xa1, 0x36, 0x6d, 0x15, 0xc6, 0x13, 0x83, 0xa0, 0xc2, 0x6e, 0xd9, 0xdb, 0xc9, 0xcc, + /* (2^ 55)P */ 0xff, 0xd8, 0x52, 0xa3, 0xdc, 0x99, 0xcf, 0x3e, 0x19, 0xb3, 0x68, 0xd0, 0xb5, 0x0d, 0xb8, 0xee, 0x3f, 0xef, 0x6e, 0xc0, 0x38, 0x28, 0x44, 0x92, 0x78, 0x91, 0x1a, 0x08, 0x78, 0x6c, 0x65, 0x24, 0xf3, 0xa2, 0x3d, 0xf2, 0xe5, 0x79, 0x62, 0x69, 0x29, 0xf4, 0x22, 0xc5, 0xdb, 0x6a, 0xae, 0xf4, 0x44, 0xa3, 0x6f, 0xc7, 0x86, 0xab, 0xef, 0xef, + /* (2^ 56)P */ 0xbf, 0x54, 0x9a, 0x09, 0x5d, 0x17, 0xd0, 0xde, 0xfb, 0xf5, 0xca, 0xff, 0x13, 0x20, 0x88, 0x82, 0x3a, 0xe2, 0xd0, 0x3b, 0xfb, 0x05, 0x76, 0xd1, 0xc0, 0x02, 0x71, 0x3b, 0x94, 0xe8, 0xc9, 0x84, 0xcf, 0xa4, 0xe9, 0x28, 0x7b, 0xf5, 0x09, 0xc3, 0x2b, 0x22, 0x40, 0xf1, 0x68, 0x24, 0x24, 0x7d, 0x9f, 0x6e, 0xcd, 0xfe, 0xb0, 0x19, 0x61, 0xf5, + /* (2^ 57)P */ 0xe8, 0x63, 0x51, 0xb3, 0x95, 0x6b, 0x7b, 0x74, 0x92, 0x52, 0x45, 0xa4, 0xed, 0xea, 0x0e, 0x0d, 0x2b, 0x01, 0x1e, 0x2c, 0xbc, 0x91, 0x06, 0x69, 0xdb, 0x1f, 0xb5, 0x77, 0x1d, 0x56, 0xf5, 0xb4, 0x02, 0x80, 0x49, 0x56, 0x12, 0xce, 0x86, 0x05, 0xc9, 0xd9, 0xae, 0xf3, 0x6d, 0xe6, 0x3f, 0x40, 0x52, 0xe9, 0x49, 0x2b, 0x31, 0x06, 0x86, 0x14, + /* (2^ 58)P */ 0xf5, 0x09, 0x3b, 0xd2, 0xff, 0xdf, 0x11, 0xa5, 0x1c, 0x99, 0xe8, 0x1b, 0xa4, 0x2c, 0x7d, 0x8e, 0xc8, 0xf7, 0x03, 0x46, 0xfa, 0xb6, 0xde, 0x73, 0x91, 0x7e, 0x5a, 0x7a, 0xd7, 0x9a, 0x5b, 0x80, 0x24, 0x62, 0x5e, 0x92, 0xf1, 0xa3, 0x45, 0xa3, 0x43, 0x92, 0x8a, 0x2a, 0x5b, 0x0c, 0xb4, 0xc8, 0xad, 0x1c, 0xb6, 0x6c, 0x5e, 0x81, 0x18, 0x91, + /* (2^ 59)P */ 0x96, 0xb3, 0xca, 0x2b, 0xe3, 0x7a, 0x59, 0x72, 0x17, 0x74, 0x29, 0x21, 0xe7, 0x78, 0x07, 0xad, 0xda, 0xb6, 0xcd, 0xf9, 0x27, 0x4d, 0xc8, 0xf2, 0x98, 0x22, 0xca, 0xf2, 0x33, 0x74, 0x7a, 0xdd, 0x1e, 0x71, 0xec, 0xe3, 0x3f, 0xe2, 0xa2, 0xd2, 0x38, 0x75, 0xb0, 0xd0, 0x0a, 0xcf, 0x7d, 0x36, 0xdc, 0x49, 0x38, 0x25, 0x34, 0x4f, 0x20, 0x9a, + /* (2^ 60)P */ 0x2b, 0x6e, 0x04, 0x0d, 0x4f, 0x3d, 0x3b, 0x24, 0xf6, 0x4e, 0x5e, 0x0a, 0xbd, 0x48, 0x96, 0xba, 0x81, 0x8f, 0x39, 0x82, 0x13, 0xe6, 0x72, 0xf3, 0x0f, 0xb6, 0x94, 0xf4, 0xc5, 0x90, 0x74, 0x91, 0xa8, 0xf2, 0xc9, 0xca, 0x9a, 0x4d, 0x98, 0xf2, 0xdf, 0x52, 0x4e, 0x97, 0x2f, 0xeb, 0x84, 0xd3, 0xaf, 0xc2, 0xcc, 0xfb, 0x4c, 0x26, 0x4b, 0xe4, + /* (2^ 61)P */ 0x12, 0x9e, 0xfb, 0x9d, 0x78, 0x79, 0x99, 0xdd, 0xb3, 0x0b, 0x2e, 0x56, 0x41, 0x8e, 0x3f, 0x39, 0xb8, 0x97, 0x89, 0x53, 0x9b, 0x8a, 0x3c, 0x40, 0x9d, 0xa4, 0x6c, 0x2e, 0x31, 0x71, 0xc6, 0x0a, 0x41, 0xd4, 0x95, 0x06, 0x5e, 0xc1, 0xab, 0xc2, 0x14, 0xc4, 0xc7, 0x15, 0x08, 0x3a, 0xad, 0x7a, 0xb4, 0x62, 0xa3, 0x0c, 0x90, 0xf4, 0x47, 0x08, + /* (2^ 62)P */ 0x7f, 0xec, 0x09, 0x82, 0xf5, 0x94, 0x09, 0x93, 0x32, 0xd3, 0xdc, 0x56, 0x80, 0x7b, 0x5b, 0x22, 0x80, 0x6a, 0x96, 0x72, 0xb1, 0xc2, 0xd9, 0xa1, 0x8b, 0x66, 0x42, 0x16, 0xe2, 0x07, 0xb3, 0x2d, 0xf1, 0x75, 0x35, 0x72, 0xc7, 0x98, 0xbe, 0x63, 0x3b, 0x20, 0x75, 0x05, 0xc1, 0x3e, 0x31, 0x5a, 0xf7, 0xaa, 0xae, 0x4b, 0xdb, 0x1d, 0xd0, 0x74, + /* (2^ 63)P */ 0x36, 0x5c, 0x74, 0xe6, 0x5d, 0x59, 0x3f, 0x15, 0x4b, 0x4d, 0x4e, 0x67, 0x41, 0xfe, 0x98, 0x1f, 0x49, 0x76, 0x91, 0x0f, 0x9b, 0xf4, 0xaf, 0x86, 0xaf, 0x66, 0x19, 0xed, 0x46, 0xf1, 0x05, 0x9a, 0xcc, 0xd1, 0x14, 0x1f, 0x82, 0x12, 0x8e, 0xe6, 0xf4, 0xc3, 0x42, 0x5c, 0x4e, 0x33, 0x93, 0xbe, 0x30, 0xe7, 0x64, 0xa9, 0x35, 0x00, 0x4d, 0xf9, + /* (2^ 64)P */ 0x1f, 0xc1, 0x1e, 0xb7, 0xe3, 0x7c, 0xfa, 0xa3, 0x6b, 0x76, 0xaf, 0x9c, 0x05, 0x85, 0x4a, 0xa9, 0xfb, 0xe3, 0x7e, 0xf2, 0x49, 0x56, 0xdc, 0x2f, 0x57, 0x10, 0xba, 0x37, 0xb2, 0x62, 0xf5, 0x6b, 0xe5, 0x8f, 0x0a, 0x87, 0xd1, 0x6a, 0xcb, 0x9d, 0x07, 0xd0, 0xf6, 0x38, 0x99, 0x2c, 0x61, 0x4a, 0x4e, 0xd8, 0xd2, 0x88, 0x29, 0x99, 0x11, 0x95, + /* (2^ 65)P */ 0x6f, 0xdc, 0xd5, 0xd6, 0xd6, 0xa7, 0x4c, 0x46, 0x93, 0x65, 0x62, 0x23, 0x95, 0x32, 0x9c, 0xde, 0x40, 0x41, 0x68, 0x2c, 0x18, 0x4e, 0x5a, 0x8c, 0xc0, 0xc5, 0xc5, 0xea, 0x5c, 0x45, 0x0f, 0x60, 0x78, 0x39, 0xb6, 0x36, 0x23, 0x12, 0xbc, 0x21, 0x9a, 0xf8, 0x91, 0xac, 0xc4, 0x70, 0xdf, 0x85, 0x8e, 0x3c, 0xec, 0x22, 0x04, 0x98, 0xa8, 0xaa, + /* (2^ 66)P */ 0xcc, 0x52, 0x10, 0x5b, 0x4b, 0x6c, 0xc5, 0xfa, 0x3e, 0xd4, 0xf8, 0x1c, 0x04, 0x14, 0x48, 0x33, 0xd9, 0xfc, 0x5f, 0xb0, 0xa5, 0x48, 0x8c, 0x45, 0x8a, 0xee, 0x3e, 0xa7, 0xc1, 0x2e, 0x34, 0xca, 0xf6, 0xc9, 0xeb, 0x10, 0xbb, 0xe1, 0x59, 0x84, 0x25, 0xe8, 0x81, 0x70, 0xc0, 0x09, 0x42, 0xa7, 0x3b, 0x0d, 0x33, 0x00, 0xb5, 0x77, 0xbe, 0x25, + /* (2^ 67)P */ 0xcd, 0x1f, 0xbc, 0x7d, 0xef, 0xe5, 0xca, 0x91, 0xaf, 0xa9, 0x59, 0x6a, 0x09, 0xca, 0xd6, 0x1b, 0x3d, 0x55, 0xde, 0xa2, 0x6a, 0x80, 0xd6, 0x95, 0x47, 0xe4, 0x5f, 0x68, 0x54, 0x08, 0xdf, 0x29, 0xba, 0x2a, 0x02, 0x84, 0xe8, 0xe9, 0x00, 0x77, 0x99, 0x36, 0x03, 0xf6, 0x4a, 0x3e, 0x21, 0x81, 0x7d, 0xb8, 0xa4, 0x8a, 0xa2, 0x05, 0xef, 0xbc, + /* (2^ 68)P */ 0x7c, 0x59, 0x5f, 0x66, 0xd9, 0xb7, 0x83, 0x43, 0x8a, 0xa1, 0x8d, 0x51, 0x70, 0xba, 0xf2, 0x9b, 0x95, 0xc0, 0x4b, 0x4c, 0xa0, 0x14, 0xd3, 0xa4, 0x5d, 0x4a, 0x37, 0x36, 0x97, 0x31, 0x1e, 0x12, 0xe7, 0xbb, 0x08, 0x67, 0xa5, 0x23, 0xd7, 0xfb, 0x97, 0xd8, 0x6a, 0x03, 0xb1, 0xf8, 0x7f, 0xda, 0x58, 0xd9, 0x3f, 0x73, 0x4a, 0x53, 0xe1, 0x7b, + /* (2^ 69)P */ 0x55, 0x83, 0x98, 0x78, 0x6c, 0x56, 0x5e, 0xed, 0xf7, 0x23, 0x3e, 0x4c, 0x7d, 0x09, 0x2d, 0x09, 0x9c, 0x58, 0x8b, 0x32, 0xca, 0xfe, 0xbf, 0x47, 0x03, 0xeb, 0x4d, 0xe7, 0xeb, 0x9c, 0x83, 0x05, 0x68, 0xaa, 0x80, 0x89, 0x44, 0xf9, 0xd4, 0xdc, 0xdb, 0xb1, 0xdb, 0x77, 0xac, 0xf9, 0x2a, 0xae, 0x35, 0xac, 0x74, 0xb5, 0x95, 0x62, 0x18, 0x85, + /* (2^ 70)P */ 0xab, 0x82, 0x7e, 0x10, 0xd7, 0xe6, 0x57, 0xd1, 0x66, 0x12, 0x31, 0x9c, 0x9c, 0xa6, 0x27, 0x59, 0x71, 0x2e, 0xeb, 0xa0, 0x68, 0xc5, 0x87, 0x51, 0xf4, 0xca, 0x3f, 0x98, 0x56, 0xb0, 0x89, 0xb1, 0xc7, 0x7b, 0x46, 0xb3, 0xae, 0x36, 0xf2, 0xee, 0x15, 0x1a, 0x60, 0xf4, 0x50, 0x76, 0x4f, 0xc4, 0x53, 0x0d, 0x36, 0x4d, 0x31, 0xb1, 0x20, 0x51, + /* (2^ 71)P */ 0xf7, 0x1d, 0x8c, 0x1b, 0x5e, 0xe5, 0x02, 0x6f, 0xc5, 0xa5, 0xe0, 0x5f, 0xc6, 0xb6, 0x63, 0x43, 0xaf, 0x3c, 0x19, 0x6c, 0xf4, 0xaf, 0xa4, 0x33, 0xb1, 0x0a, 0x37, 0x3d, 0xd9, 0x4d, 0xe2, 0x29, 0x24, 0x26, 0x94, 0x7c, 0x02, 0xe4, 0xe2, 0xf2, 0xbe, 0xbd, 0xac, 0x1b, 0x48, 0xb8, 0xdd, 0xe9, 0x0d, 0x9a, 0x50, 0x1a, 0x98, 0x71, 0x6e, 0xdc, + /* (2^ 72)P */ 0x9f, 0x40, 0xb1, 0xb3, 0x66, 0x28, 0x6c, 0xfe, 0xa6, 0x7d, 0xf8, 0x3e, 0xb8, 0xf3, 0xde, 0x52, 0x76, 0x52, 0xa3, 0x92, 0x98, 0x23, 0xab, 0x4f, 0x88, 0x97, 0xfc, 0x22, 0xe1, 0x6b, 0x67, 0xcd, 0x13, 0x95, 0xda, 0x65, 0xdd, 0x3b, 0x67, 0x3f, 0x5f, 0x4c, 0xf2, 0x8a, 0xad, 0x98, 0xa7, 0x94, 0x24, 0x45, 0x87, 0x11, 0x7c, 0x75, 0x79, 0x85, + /* (2^ 73)P */ 0x70, 0xbf, 0xf9, 0x3b, 0xa9, 0x44, 0x57, 0x72, 0x96, 0xc9, 0xa4, 0x98, 0x65, 0xbf, 0x87, 0xb3, 0x3a, 0x39, 0x12, 0xde, 0xe5, 0x39, 0x01, 0x4f, 0xf7, 0xc0, 0x71, 0x52, 0x36, 0x85, 0xb3, 0x18, 0xf8, 0x14, 0xc0, 0x6d, 0xae, 0x9e, 0x4f, 0xb0, 0x72, 0x87, 0xac, 0x5c, 0xd1, 0x6c, 0x41, 0x6c, 0x90, 0x9d, 0x22, 0x81, 0xe4, 0x2b, 0xea, 0xe5, + /* (2^ 74)P */ 0xfc, 0xea, 0x1a, 0x65, 0xd9, 0x49, 0x6a, 0x39, 0xb5, 0x96, 0x72, 0x7b, 0x32, 0xf1, 0xd0, 0xe9, 0x45, 0xd9, 0x31, 0x55, 0xc7, 0x34, 0xe9, 0x5a, 0xec, 0x73, 0x0b, 0x03, 0xc4, 0xb3, 0xe6, 0xc9, 0x5e, 0x0a, 0x17, 0xfe, 0x53, 0x66, 0x7f, 0x21, 0x18, 0x74, 0x54, 0x1b, 0xc9, 0x49, 0x16, 0xd2, 0x48, 0xaf, 0x5b, 0x47, 0x7b, 0xeb, 0xaa, 0xc9, + /* (2^ 75)P */ 0x47, 0x04, 0xf5, 0x5a, 0x87, 0x77, 0x9e, 0x21, 0x34, 0x4e, 0x83, 0x88, 0xaf, 0x02, 0x1d, 0xb0, 0x5a, 0x1d, 0x1d, 0x7d, 0x8d, 0x2c, 0xd3, 0x8d, 0x63, 0xa9, 0x45, 0xfb, 0x15, 0x6d, 0x86, 0x45, 0xcd, 0x38, 0x0e, 0xf7, 0x37, 0x79, 0xed, 0x6d, 0x5a, 0xbc, 0x32, 0xcc, 0x66, 0xf1, 0x3a, 0xb2, 0x87, 0x6f, 0x70, 0x71, 0xd9, 0xf2, 0xfa, 0x7b, + /* (2^ 76)P */ 0x68, 0x07, 0xdc, 0x61, 0x40, 0xe4, 0xec, 0x32, 0xc8, 0xbe, 0x66, 0x30, 0x54, 0x80, 0xfd, 0x13, 0x7a, 0xef, 0xae, 0xed, 0x2e, 0x00, 0x6d, 0x3f, 0xbd, 0xfc, 0x91, 0x24, 0x53, 0x7f, 0x63, 0x9d, 0x2e, 0xe3, 0x76, 0xe0, 0xf3, 0xe1, 0x8f, 0x7a, 0xc4, 0x77, 0x0c, 0x91, 0xc0, 0xc2, 0x18, 0x6b, 0x04, 0xad, 0xb6, 0x70, 0x9a, 0x64, 0xc5, 0x82, + /* (2^ 77)P */ 0x7f, 0xea, 0x13, 0xd8, 0x9e, 0xfc, 0x5b, 0x06, 0xb5, 0x4f, 0xda, 0x38, 0xe0, 0x9c, 0xd2, 0x3a, 0xc1, 0x1c, 0x62, 0x70, 0x7f, 0xc6, 0x24, 0x0a, 0x47, 0x04, 0x01, 0xc4, 0x55, 0x09, 0xd1, 0x7a, 0x07, 0xba, 0xa3, 0x80, 0x4f, 0xc1, 0x65, 0x36, 0x6d, 0xc0, 0x10, 0xcf, 0x94, 0xa9, 0xa2, 0x01, 0x44, 0xd1, 0xf9, 0x1c, 0x4c, 0xfb, 0xf8, 0x99, + /* (2^ 78)P */ 0x6c, 0xb9, 0x6b, 0xee, 0x43, 0x5b, 0xb9, 0xbb, 0xee, 0x2e, 0x52, 0xc1, 0xc6, 0xb9, 0x61, 0xd2, 0x93, 0xa5, 0xaf, 0x52, 0xf4, 0xa4, 0x1a, 0x51, 0x61, 0xa7, 0xcb, 0x9e, 0xbb, 0x56, 0x65, 0xe2, 0xbf, 0x75, 0xb9, 0x9c, 0x50, 0x96, 0x60, 0x81, 0x74, 0x47, 0xc0, 0x04, 0x88, 0x71, 0x76, 0x39, 0x9a, 0xa7, 0xb1, 0x4e, 0x43, 0x15, 0xe0, 0xbb, + /* (2^ 79)P */ 0xbb, 0xce, 0xe2, 0xbb, 0xf9, 0x17, 0x0f, 0x82, 0x40, 0xad, 0x73, 0xe3, 0xeb, 0x3b, 0x06, 0x1a, 0xcf, 0x8e, 0x6e, 0x28, 0xb8, 0x26, 0xd9, 0x5b, 0xb7, 0xb3, 0xcf, 0xb4, 0x6a, 0x1c, 0xbf, 0x7f, 0xb8, 0xb5, 0x79, 0xcf, 0x45, 0x68, 0x7d, 0xc5, 0xeb, 0xf3, 0xbe, 0x39, 0x40, 0xfc, 0x07, 0x90, 0x7a, 0x62, 0xad, 0x86, 0x08, 0x71, 0x25, 0xe1, + /* (2^ 80)P */ 0x9b, 0x46, 0xac, 0xef, 0xc1, 0x4e, 0xa1, 0x97, 0x95, 0x76, 0xf9, 0x1b, 0xc2, 0xb2, 0x6a, 0x41, 0xea, 0x80, 0x3d, 0xe9, 0x08, 0x52, 0x5a, 0xe3, 0xf2, 0x08, 0xc5, 0xea, 0x39, 0x3f, 0x44, 0x71, 0x4d, 0xea, 0x0d, 0x05, 0x23, 0xe4, 0x2e, 0x3c, 0x89, 0xfe, 0x12, 0x8a, 0x95, 0x42, 0x0a, 0x68, 0xea, 0x5a, 0x28, 0x06, 0x9e, 0xe3, 0x5f, 0xe0, + /* (2^ 81)P */ 0x00, 0x61, 0x6c, 0x98, 0x9b, 0xe7, 0xb9, 0x06, 0x1c, 0xc5, 0x1b, 0xed, 0xbe, 0xc8, 0xb3, 0xea, 0x87, 0xf0, 0xc4, 0x24, 0x7d, 0xbb, 0x5d, 0xa4, 0x1d, 0x7a, 0x16, 0x00, 0x55, 0x94, 0x67, 0x78, 0xbd, 0x58, 0x02, 0x82, 0x90, 0x53, 0x76, 0xd4, 0x72, 0x99, 0x51, 0x6f, 0x7b, 0xcf, 0x80, 0x30, 0x31, 0x3b, 0x01, 0xc7, 0xc1, 0xef, 0xe6, 0x42, + /* (2^ 82)P */ 0xe2, 0x35, 0xaf, 0x4b, 0x79, 0xc6, 0x12, 0x24, 0x99, 0xc0, 0x68, 0xb0, 0x43, 0x3e, 0xe5, 0xef, 0xe2, 0x29, 0xea, 0xb8, 0xb3, 0xbc, 0x6a, 0x53, 0x2c, 0x69, 0x18, 0x5a, 0xf9, 0x15, 0xae, 0x66, 0x58, 0x18, 0xd3, 0x2d, 0x4b, 0x00, 0xfd, 0x84, 0xab, 0x4f, 0xae, 0x70, 0x6b, 0x9e, 0x9a, 0xdf, 0x83, 0xfd, 0x2e, 0x3c, 0xcf, 0xf8, 0x88, 0x5b, + /* (2^ 83)P */ 0xa4, 0x90, 0x31, 0x85, 0x13, 0xcd, 0xdf, 0x64, 0xc9, 0xa1, 0x0b, 0xe7, 0xb6, 0x73, 0x8a, 0x1b, 0x22, 0x78, 0x4c, 0xd4, 0xae, 0x48, 0x18, 0x00, 0x00, 0xa8, 0x9f, 0x06, 0xf9, 0xfb, 0x2d, 0xc3, 0xb1, 0x2a, 0xbc, 0x13, 0x99, 0x57, 0xaf, 0xf0, 0x8d, 0x61, 0x54, 0x29, 0xd5, 0xf2, 0x72, 0x00, 0x96, 0xd1, 0x85, 0x12, 0x8a, 0xf0, 0x23, 0xfb, + /* (2^ 84)P */ 0x69, 0xc7, 0xdb, 0xd9, 0x92, 0x75, 0x08, 0x9b, 0xeb, 0xa5, 0x93, 0xd1, 0x1a, 0xf4, 0xf5, 0xaf, 0xe6, 0xc4, 0x4a, 0x0d, 0x35, 0x26, 0x39, 0x9d, 0xd3, 0x17, 0x3e, 0xae, 0x2d, 0xbf, 0x73, 0x9f, 0xb7, 0x74, 0x91, 0xd1, 0xd8, 0x5c, 0x14, 0xf9, 0x75, 0xdf, 0xeb, 0xc2, 0x22, 0xd8, 0x14, 0x8d, 0x86, 0x23, 0x4d, 0xd1, 0x2d, 0xdb, 0x6b, 0x42, + /* (2^ 85)P */ 0x8c, 0xda, 0xc6, 0xf8, 0x71, 0xba, 0x2b, 0x06, 0x78, 0xae, 0xcc, 0x3a, 0xe3, 0xe3, 0xa1, 0x8b, 0xe2, 0x34, 0x6d, 0x28, 0x9e, 0x46, 0x13, 0x4d, 0x9e, 0xa6, 0x73, 0x49, 0x65, 0x79, 0x88, 0xb9, 0x3a, 0xd1, 0x6d, 0x2f, 0x48, 0x2b, 0x0a, 0x7f, 0x58, 0x20, 0x37, 0xf4, 0x0e, 0xbb, 0x4a, 0x95, 0x58, 0x0c, 0x88, 0x30, 0xc4, 0x74, 0xdd, 0xfd, + /* (2^ 86)P */ 0x6d, 0x13, 0x4e, 0x89, 0x2d, 0xa9, 0xa3, 0xed, 0x09, 0xe3, 0x0e, 0x71, 0x3e, 0x4a, 0xab, 0x90, 0xde, 0x03, 0xeb, 0x56, 0x46, 0x60, 0x06, 0xf5, 0x71, 0xe5, 0xee, 0x9b, 0xef, 0xff, 0xc4, 0x2c, 0x9f, 0x37, 0x48, 0x45, 0x94, 0x12, 0x41, 0x81, 0x15, 0x70, 0x91, 0x99, 0x5e, 0x56, 0x6b, 0xf4, 0xa6, 0xc9, 0xf5, 0x69, 0x9d, 0x78, 0x37, 0x57, + /* (2^ 87)P */ 0xf3, 0x51, 0x57, 0x7e, 0x43, 0x6f, 0xc6, 0x67, 0x59, 0x0c, 0xcf, 0x94, 0xe6, 0x3d, 0xb5, 0x07, 0xc9, 0x77, 0x48, 0xc9, 0x68, 0x0d, 0x98, 0x36, 0x62, 0x35, 0x38, 0x1c, 0xf5, 0xc5, 0xec, 0x66, 0x78, 0xfe, 0x47, 0xab, 0x26, 0xd6, 0x44, 0xb6, 0x06, 0x0f, 0x89, 0xe3, 0x19, 0x40, 0x1a, 0xe7, 0xd8, 0x65, 0x55, 0xf7, 0x1a, 0xfc, 0xa3, 0x0e, + /* (2^ 88)P */ 0x0e, 0x30, 0xa6, 0xb7, 0x58, 0x60, 0x62, 0x2a, 0x6c, 0x13, 0xa8, 0x14, 0x9b, 0xb8, 0xf2, 0x70, 0xd8, 0xb1, 0x71, 0x88, 0x8c, 0x18, 0x31, 0x25, 0x93, 0x90, 0xb4, 0xc7, 0x49, 0xd8, 0xd4, 0xdb, 0x1e, 0x1e, 0x7f, 0xaa, 0xba, 0xc9, 0xf2, 0x5d, 0xa9, 0x3a, 0x43, 0xb4, 0x5c, 0xee, 0x7b, 0xc7, 0x97, 0xb7, 0x66, 0xd7, 0x23, 0xd9, 0x22, 0x59, + /* (2^ 89)P */ 0x28, 0x19, 0xa6, 0xf9, 0x89, 0x20, 0x78, 0xd4, 0x6d, 0xcb, 0x79, 0x8f, 0x61, 0x6f, 0xb2, 0x5c, 0x4f, 0xa6, 0x54, 0x84, 0x95, 0x24, 0x36, 0x64, 0xcb, 0x39, 0xe7, 0x8f, 0x97, 0x9c, 0x5c, 0x3c, 0xfb, 0x51, 0x11, 0x01, 0x17, 0xdb, 0xc9, 0x9b, 0x51, 0x03, 0x9a, 0xe9, 0xe5, 0x24, 0x1e, 0xf5, 0xda, 0xe0, 0x48, 0x02, 0x23, 0xd0, 0x2c, 0x81, + /* (2^ 90)P */ 0x42, 0x1b, 0xe4, 0x91, 0x85, 0x2a, 0x0c, 0xd2, 0x28, 0x66, 0x57, 0x9e, 0x33, 0x8d, 0x25, 0x71, 0x10, 0x65, 0x76, 0xa2, 0x8c, 0x21, 0x86, 0x81, 0x15, 0xc2, 0x27, 0xeb, 0x54, 0x2d, 0x4f, 0x6c, 0xe6, 0xd6, 0x24, 0x9c, 0x1a, 0x12, 0xb8, 0x81, 0xe2, 0x0a, 0xf3, 0xd3, 0xf0, 0xd3, 0xe1, 0x74, 0x1f, 0x9b, 0x11, 0x47, 0xd0, 0xcf, 0xb6, 0x54, + /* (2^ 91)P */ 0x26, 0x45, 0xa2, 0x10, 0xd4, 0x2d, 0xae, 0xc0, 0xb0, 0xe8, 0x86, 0xb3, 0xc7, 0xea, 0x70, 0x87, 0x61, 0xb5, 0xa5, 0x55, 0xbe, 0x88, 0x1d, 0x7a, 0xd9, 0x6f, 0xeb, 0x83, 0xe2, 0x44, 0x7f, 0x98, 0x04, 0xd6, 0x50, 0x9d, 0xa7, 0x86, 0x66, 0x09, 0x63, 0xe1, 0xed, 0x72, 0xb1, 0xe4, 0x1d, 0x3a, 0xfd, 0x47, 0xce, 0x1c, 0xaa, 0x3b, 0x8f, 0x1b, + /* (2^ 92)P */ 0xf4, 0x3c, 0x4a, 0xb6, 0xc2, 0x9c, 0xe0, 0x2e, 0xb7, 0x38, 0xea, 0x61, 0x35, 0x97, 0x10, 0x90, 0xae, 0x22, 0x48, 0xb3, 0xa9, 0xc6, 0x7a, 0xbb, 0x23, 0xf2, 0xf8, 0x1b, 0xa7, 0xa1, 0x79, 0xcc, 0xc4, 0xf8, 0x08, 0x76, 0x8a, 0x5a, 0x1c, 0x1b, 0xc5, 0x33, 0x91, 0xa9, 0xb8, 0xb9, 0xd3, 0xf8, 0x49, 0xcd, 0xe5, 0x82, 0x43, 0xf7, 0xca, 0x68, + /* (2^ 93)P */ 0x38, 0xba, 0xae, 0x44, 0xfe, 0x57, 0x64, 0x56, 0x7c, 0x0e, 0x9c, 0xca, 0xff, 0xa9, 0x82, 0xbb, 0x38, 0x4a, 0xa7, 0xf7, 0x47, 0xab, 0xbe, 0x6d, 0x23, 0x0b, 0x8a, 0xed, 0xc2, 0xb9, 0x8f, 0xf1, 0xec, 0x91, 0x44, 0x73, 0x64, 0xba, 0xd5, 0x8f, 0x37, 0x38, 0x0d, 0xd5, 0xf8, 0x73, 0x57, 0xb6, 0xc2, 0x45, 0xdc, 0x25, 0xb2, 0xb6, 0xea, 0xd9, + /* (2^ 94)P */ 0xbf, 0xe9, 0x1a, 0x40, 0x4d, 0xcc, 0xe6, 0x1d, 0x70, 0x1a, 0x65, 0xcc, 0x34, 0x2c, 0x37, 0x2c, 0x2d, 0x6b, 0x6d, 0xe5, 0x2f, 0x19, 0x9e, 0xe4, 0xe1, 0xaa, 0xd4, 0xab, 0x54, 0xf4, 0xa8, 0xe4, 0x69, 0x2d, 0x8e, 0x4d, 0xd7, 0xac, 0xb0, 0x5b, 0xfe, 0xe3, 0x26, 0x07, 0xc3, 0xf8, 0x1b, 0x43, 0xa8, 0x1d, 0x64, 0xa5, 0x25, 0x88, 0xbb, 0x77, + /* (2^ 95)P */ 0x92, 0xcd, 0x6e, 0xa0, 0x79, 0x04, 0x18, 0xf4, 0x11, 0x58, 0x48, 0xb5, 0x3c, 0x7b, 0xd1, 0xcc, 0xd3, 0x14, 0x2c, 0xa0, 0xdd, 0x04, 0x44, 0x11, 0xb3, 0x6d, 0x2f, 0x0d, 0xf5, 0x2a, 0x75, 0x5d, 0x1d, 0xda, 0x86, 0x8d, 0x7d, 0x6b, 0x32, 0x68, 0xb6, 0x6c, 0x64, 0x9e, 0xde, 0x80, 0x88, 0xce, 0x08, 0xbf, 0x0b, 0xe5, 0x8e, 0x4f, 0x1d, 0xfb, + /* (2^ 96)P */ 0xaf, 0xe8, 0x85, 0xbf, 0x7f, 0x37, 0x8d, 0x66, 0x7c, 0xd5, 0xd3, 0x96, 0xa5, 0x81, 0x67, 0x95, 0xff, 0x48, 0xde, 0xde, 0xd7, 0x7a, 0x46, 0x34, 0xb1, 0x13, 0x70, 0x29, 0xed, 0x87, 0x90, 0xb0, 0x40, 0x2c, 0xa6, 0x43, 0x6e, 0xb6, 0xbc, 0x48, 0x8a, 0xc1, 0xae, 0xb8, 0xd4, 0xe2, 0xc0, 0x32, 0xb2, 0xa6, 0x2a, 0x8f, 0xb5, 0x16, 0x9e, 0xc3, + /* (2^ 97)P */ 0xff, 0x4d, 0xd2, 0xd6, 0x74, 0xef, 0x2c, 0x96, 0xc1, 0x11, 0xa8, 0xb8, 0xfe, 0x94, 0x87, 0x3e, 0xa0, 0xfb, 0x57, 0xa3, 0xfc, 0x7a, 0x7e, 0x6a, 0x59, 0x6c, 0x54, 0xbb, 0xbb, 0xa2, 0x25, 0x38, 0x1b, 0xdf, 0x5d, 0x7b, 0x94, 0x14, 0xde, 0x07, 0x6e, 0xd3, 0xab, 0x02, 0x26, 0x74, 0x16, 0x12, 0xdf, 0x2e, 0x2a, 0xa7, 0xb0, 0xe8, 0x29, 0xc0, + /* (2^ 98)P */ 0x6a, 0x38, 0x0b, 0xd3, 0xba, 0x45, 0x23, 0xe0, 0x04, 0x3b, 0x83, 0x39, 0xc5, 0x11, 0xe6, 0xcf, 0x39, 0x0a, 0xb3, 0xb0, 0x3b, 0x27, 0x29, 0x63, 0x1c, 0xf3, 0x00, 0xe6, 0xd2, 0x55, 0x21, 0x1f, 0x84, 0x97, 0x9f, 0x01, 0x49, 0x43, 0x30, 0x5f, 0xe0, 0x1d, 0x24, 0xc4, 0x4e, 0xa0, 0x2b, 0x0b, 0x12, 0x55, 0xc3, 0x27, 0xae, 0x08, 0x83, 0x7c, + /* (2^ 99)P */ 0x5d, 0x1a, 0xb7, 0xa9, 0xf5, 0xfd, 0xec, 0xad, 0xb7, 0x87, 0x02, 0x5f, 0x0d, 0x30, 0x4d, 0xe2, 0x65, 0x87, 0xa4, 0x41, 0x45, 0x1d, 0x67, 0xe0, 0x30, 0x5c, 0x13, 0x87, 0xf6, 0x2e, 0x08, 0xc1, 0xc7, 0x12, 0x45, 0xc8, 0x9b, 0xad, 0xb8, 0xd5, 0x57, 0xbb, 0x5c, 0x48, 0x3a, 0xe1, 0x91, 0x5e, 0xf6, 0x4d, 0x8a, 0x63, 0x75, 0x69, 0x0c, 0x01, + /* (2^100)P */ 0x8f, 0x53, 0x2d, 0xa0, 0x71, 0x3d, 0xfc, 0x45, 0x10, 0x96, 0xcf, 0x56, 0xf9, 0xbb, 0x40, 0x3c, 0x86, 0x52, 0x76, 0xbe, 0x84, 0xf9, 0xa6, 0x9d, 0x3d, 0x27, 0xbe, 0xb4, 0x00, 0x49, 0x94, 0xf5, 0x5d, 0xe1, 0x62, 0x85, 0x66, 0xe5, 0xb8, 0x20, 0x2c, 0x09, 0x7d, 0x9d, 0x3d, 0x6e, 0x74, 0x39, 0xab, 0xad, 0xa0, 0x90, 0x97, 0x5f, 0xbb, 0xa7, + /* (2^101)P */ 0xdb, 0x2d, 0x99, 0x08, 0x16, 0x46, 0x83, 0x7a, 0xa8, 0xea, 0x3d, 0x28, 0x5b, 0x49, 0xfc, 0xb9, 0x6d, 0x00, 0x9e, 0x54, 0x4f, 0x47, 0x64, 0x9b, 0x58, 0x4d, 0x07, 0x0c, 0x6f, 0x29, 0x56, 0x0b, 0x00, 0x14, 0x85, 0x96, 0x41, 0x04, 0xb9, 0x5c, 0xa4, 0xf6, 0x16, 0x73, 0x6a, 0xc7, 0x62, 0x0c, 0x65, 0x2f, 0x93, 0xbf, 0xf7, 0xb9, 0xb7, 0xf1, + /* (2^102)P */ 0xeb, 0x6d, 0xb3, 0x46, 0x32, 0xd2, 0xcb, 0x08, 0x94, 0x14, 0xbf, 0x3f, 0xc5, 0xcb, 0x5f, 0x9f, 0x8a, 0x89, 0x0c, 0x1b, 0x45, 0xad, 0x4c, 0x50, 0xb4, 0xe1, 0xa0, 0x6b, 0x11, 0x92, 0xaf, 0x1f, 0x00, 0xcc, 0xe5, 0x13, 0x7e, 0xe4, 0x2e, 0xa0, 0x57, 0xf3, 0xa7, 0x84, 0x79, 0x7a, 0xc2, 0xb7, 0xb7, 0xfc, 0x5d, 0xa5, 0xa9, 0x64, 0xcc, 0xd8, + /* (2^103)P */ 0xa9, 0xc4, 0x12, 0x8b, 0x34, 0x78, 0x3e, 0x38, 0xfd, 0x3f, 0x87, 0xfa, 0x88, 0x94, 0xd5, 0xd9, 0x7f, 0xeb, 0x58, 0xff, 0xb9, 0x45, 0xdb, 0xa1, 0xed, 0x22, 0x28, 0x1d, 0x00, 0x6d, 0x79, 0x85, 0x7a, 0x75, 0x5d, 0xf0, 0xb1, 0x9e, 0x47, 0x28, 0x8c, 0x62, 0xdf, 0xfb, 0x4c, 0x7b, 0xc5, 0x1a, 0x42, 0x95, 0xef, 0x9a, 0xb7, 0x27, 0x7e, 0xda, + /* (2^104)P */ 0xca, 0xd5, 0xc0, 0x17, 0xa1, 0x66, 0x79, 0x9c, 0x2a, 0xb7, 0x0a, 0xfe, 0x62, 0xe4, 0x26, 0x78, 0x90, 0xa7, 0xcb, 0xb0, 0x4f, 0x6d, 0xf9, 0x8f, 0xf7, 0x7d, 0xac, 0xb8, 0x78, 0x1f, 0x41, 0xea, 0x97, 0x1e, 0x62, 0x97, 0x43, 0x80, 0x58, 0x80, 0xb6, 0x69, 0x7d, 0xee, 0x16, 0xd2, 0xa1, 0x81, 0xd7, 0xb1, 0x27, 0x03, 0x48, 0xda, 0xab, 0xec, + /* (2^105)P */ 0x5b, 0xed, 0x40, 0x8e, 0x8c, 0xc1, 0x66, 0x90, 0x7f, 0x0c, 0xb2, 0xfc, 0xbd, 0x16, 0xac, 0x7d, 0x4c, 0x6a, 0xf9, 0xae, 0xe7, 0x4e, 0x11, 0x12, 0xe9, 0xbe, 0x17, 0x09, 0xc6, 0xc1, 0x5e, 0xb5, 0x7b, 0x50, 0x5c, 0x27, 0xfb, 0x80, 0xab, 0x01, 0xfa, 0x5b, 0x9b, 0x75, 0x16, 0x6e, 0xb2, 0x5c, 0x8c, 0x2f, 0xa5, 0x6a, 0x1a, 0x68, 0xa6, 0x90, + /* (2^106)P */ 0x75, 0xfe, 0xb6, 0x96, 0x96, 0x87, 0x4c, 0x12, 0xa9, 0xd1, 0xd8, 0x03, 0xa3, 0xc1, 0x15, 0x96, 0xe8, 0xa0, 0x75, 0x82, 0xa0, 0x6d, 0xea, 0x54, 0xdc, 0x5f, 0x0d, 0x7e, 0xf6, 0x70, 0xb5, 0xdc, 0x7a, 0xf6, 0xc4, 0xd4, 0x21, 0x49, 0xf5, 0xd4, 0x14, 0x6d, 0x48, 0x1d, 0x7c, 0x99, 0x42, 0xdf, 0x78, 0x6b, 0x9d, 0xb9, 0x30, 0x3c, 0xd0, 0x29, + /* (2^107)P */ 0x85, 0xd6, 0xd8, 0xf3, 0x91, 0x74, 0xdd, 0xbd, 0x72, 0x96, 0x10, 0xe4, 0x76, 0x02, 0x5a, 0x72, 0x67, 0xd3, 0x17, 0x72, 0x14, 0x9a, 0x20, 0x5b, 0x0f, 0x8d, 0xed, 0x6d, 0x4e, 0xe3, 0xd9, 0x82, 0xc2, 0x99, 0xee, 0x39, 0x61, 0x69, 0x8a, 0x24, 0x01, 0x92, 0x15, 0xe7, 0xfc, 0xf9, 0x4d, 0xac, 0xf1, 0x30, 0x49, 0x01, 0x0b, 0x6e, 0x0f, 0x20, + /* (2^108)P */ 0xd8, 0x25, 0x94, 0x5e, 0x43, 0x29, 0xf5, 0xcc, 0xe8, 0xe3, 0x55, 0x41, 0x3c, 0x9f, 0x58, 0x5b, 0x00, 0xeb, 0xc5, 0xdf, 0xcf, 0xfb, 0xfd, 0x6e, 0x92, 0xec, 0x99, 0x30, 0xd6, 0x05, 0xdd, 0x80, 0x7a, 0x5d, 0x6d, 0x16, 0x85, 0xd8, 0x9d, 0x43, 0x65, 0xd8, 0x2c, 0x33, 0x2f, 0x5c, 0x41, 0xea, 0xb7, 0x95, 0x77, 0xf2, 0x9e, 0x59, 0x09, 0xe8, + /* (2^109)P */ 0x00, 0xa0, 0x03, 0x80, 0xcd, 0x60, 0xe5, 0x17, 0xd4, 0x15, 0x99, 0xdd, 0x4f, 0xbf, 0x66, 0xb8, 0xc0, 0xf5, 0xf9, 0xfc, 0x6d, 0x42, 0x18, 0x34, 0x1c, 0x7d, 0x5b, 0xb5, 0x09, 0xd0, 0x99, 0x57, 0x81, 0x0b, 0x62, 0xb3, 0xa2, 0xf9, 0x0b, 0xae, 0x95, 0xb8, 0xc2, 0x3b, 0x0d, 0x5b, 0x00, 0xf1, 0xed, 0xbc, 0x05, 0x9d, 0x61, 0xbc, 0x73, 0x9d, + /* (2^110)P */ 0xd4, 0xdb, 0x29, 0xe5, 0x85, 0xe9, 0xc6, 0x89, 0x2a, 0xa8, 0x54, 0xab, 0xb3, 0x7f, 0x88, 0xc0, 0x4d, 0xe0, 0xd1, 0x74, 0x6e, 0xa3, 0xa7, 0x39, 0xd5, 0xcc, 0xa1, 0x8a, 0xcb, 0x5b, 0x34, 0xad, 0x92, 0xb4, 0xd8, 0xd5, 0x17, 0xf6, 0x77, 0x18, 0x9e, 0xaf, 0x45, 0x3b, 0x03, 0xe2, 0xf8, 0x52, 0x60, 0xdc, 0x15, 0x20, 0x9e, 0xdf, 0xd8, 0x5d, + /* (2^111)P */ 0x02, 0xc1, 0xac, 0x1a, 0x15, 0x8e, 0x6c, 0xf5, 0x1e, 0x1e, 0xba, 0x7e, 0xc2, 0xda, 0x7d, 0x02, 0xda, 0x43, 0xae, 0x04, 0x70, 0x28, 0x54, 0x78, 0x94, 0xf5, 0x4f, 0x07, 0x84, 0x8f, 0xed, 0xaa, 0xc0, 0xb8, 0xcd, 0x7f, 0x7e, 0x33, 0xa3, 0xbe, 0x21, 0x29, 0xc8, 0x56, 0x34, 0xc0, 0x76, 0x87, 0x8f, 0xc7, 0x73, 0x58, 0x90, 0x16, 0xfc, 0xd6, + /* (2^112)P */ 0xb8, 0x3f, 0xe1, 0xdf, 0x3a, 0x91, 0x25, 0x0c, 0xf6, 0x47, 0xa8, 0x89, 0xc4, 0xc6, 0x61, 0xec, 0x86, 0x2c, 0xfd, 0xbe, 0xa4, 0x6f, 0xc2, 0xd4, 0x46, 0x19, 0x70, 0x5d, 0x09, 0x02, 0x86, 0xd3, 0x4b, 0xe9, 0x16, 0x7b, 0xf0, 0x0d, 0x6c, 0xff, 0x91, 0x05, 0xbf, 0x55, 0xb4, 0x00, 0x8d, 0xe5, 0x6d, 0x68, 0x20, 0x90, 0x12, 0xb5, 0x5c, 0x32, + /* (2^113)P */ 0x80, 0x45, 0xc8, 0x51, 0x87, 0xba, 0x1c, 0x5c, 0xcf, 0x5f, 0x4b, 0x3c, 0x9e, 0x3b, 0x36, 0xd2, 0x26, 0xa2, 0x7f, 0xab, 0xb7, 0xbf, 0xda, 0x68, 0x23, 0x8f, 0xc3, 0xa0, 0xfd, 0xad, 0xf1, 0x56, 0x3b, 0xd0, 0x75, 0x2b, 0x44, 0x61, 0xd8, 0xf4, 0xf1, 0x05, 0x49, 0x53, 0x07, 0xee, 0x47, 0xef, 0xc0, 0x7c, 0x9d, 0xe4, 0x15, 0x88, 0xc5, 0x47, + /* (2^114)P */ 0x2d, 0xb5, 0x09, 0x80, 0xb9, 0xd3, 0xd8, 0xfe, 0x4c, 0xd2, 0xa6, 0x6e, 0xd3, 0x75, 0xcf, 0xb0, 0x99, 0xcb, 0x50, 0x8d, 0xe9, 0x67, 0x9b, 0x20, 0xe8, 0x57, 0xd8, 0x14, 0x85, 0x73, 0x6a, 0x74, 0xe0, 0x99, 0xf0, 0x6b, 0x6e, 0x59, 0x30, 0x31, 0x33, 0x96, 0x5f, 0xa1, 0x0c, 0x1b, 0xf4, 0xca, 0x09, 0xe1, 0x9b, 0xb5, 0xcf, 0x6d, 0x0b, 0xeb, + /* (2^115)P */ 0x1a, 0xde, 0x50, 0xa9, 0xac, 0x3e, 0x10, 0x43, 0x4f, 0x82, 0x4f, 0xc0, 0xfe, 0x3f, 0x33, 0xd2, 0x64, 0x86, 0x50, 0xa9, 0x51, 0x76, 0x5e, 0x50, 0x97, 0x6c, 0x73, 0x8d, 0x77, 0xa3, 0x75, 0x03, 0xbc, 0xc9, 0xfb, 0x50, 0xd9, 0x6d, 0x16, 0xad, 0x5d, 0x32, 0x3d, 0xac, 0x44, 0xdf, 0x51, 0xf7, 0x19, 0xd4, 0x0b, 0x57, 0x78, 0x0b, 0x81, 0x4e, + /* (2^116)P */ 0x32, 0x24, 0xf1, 0x6c, 0x55, 0x62, 0x1d, 0xb3, 0x1f, 0xda, 0xfa, 0x6a, 0x8f, 0x98, 0x01, 0x16, 0xde, 0x44, 0x50, 0x0d, 0x2e, 0x6c, 0x0b, 0xa2, 0xd3, 0x74, 0x0e, 0xa9, 0xbf, 0x8d, 0xa9, 0xc8, 0xc8, 0x2f, 0x62, 0xc1, 0x35, 0x5e, 0xfd, 0x3a, 0xb3, 0x83, 0x2d, 0xee, 0x4e, 0xfd, 0x5c, 0x5e, 0xad, 0x85, 0xa5, 0x10, 0xb5, 0x4f, 0x34, 0xa7, + /* (2^117)P */ 0xd1, 0x58, 0x6f, 0xe6, 0x54, 0x2c, 0xc2, 0xcd, 0xcf, 0x83, 0xdc, 0x88, 0x0c, 0xb9, 0xb4, 0x62, 0x18, 0x89, 0x65, 0x28, 0xe9, 0x72, 0x4b, 0x65, 0xcf, 0xd6, 0x90, 0x88, 0xd7, 0x76, 0x17, 0x4f, 0x74, 0x64, 0x1e, 0xcb, 0xd3, 0xf5, 0x4b, 0xaa, 0x2e, 0x4d, 0x2d, 0x7c, 0x13, 0x1f, 0xfd, 0xd9, 0x60, 0x83, 0x7e, 0xda, 0x64, 0x1c, 0xdc, 0x9f, + /* (2^118)P */ 0xad, 0xef, 0xac, 0x1b, 0xc1, 0x30, 0x5a, 0x15, 0xc9, 0x1f, 0xac, 0xf1, 0xca, 0x44, 0x95, 0x95, 0xea, 0xf2, 0x22, 0xe7, 0x8d, 0x25, 0xf0, 0xff, 0xd8, 0x71, 0xf7, 0xf8, 0x8f, 0x8f, 0xcd, 0xf4, 0x1e, 0xfe, 0x6c, 0x68, 0x04, 0xb8, 0x78, 0xa1, 0x5f, 0xa6, 0x5d, 0x5e, 0xf9, 0x8d, 0xea, 0x80, 0xcb, 0xf3, 0x17, 0xa6, 0x03, 0xc9, 0x38, 0xd5, + /* (2^119)P */ 0x79, 0x14, 0x31, 0xc3, 0x38, 0xe5, 0xaa, 0xbf, 0x17, 0xa3, 0x04, 0x4e, 0x80, 0x59, 0x9c, 0x9f, 0x19, 0x39, 0xe4, 0x2d, 0x23, 0x54, 0x4a, 0x7f, 0x3e, 0xf3, 0xd9, 0xc7, 0xba, 0x6c, 0x8f, 0x6b, 0xfa, 0x34, 0xb5, 0x23, 0x17, 0x1d, 0xff, 0x1d, 0xea, 0x1f, 0xd7, 0xba, 0x61, 0xb2, 0xe0, 0x38, 0x6a, 0xe9, 0xcf, 0x48, 0x5d, 0x6a, 0x10, 0x9c, + /* (2^120)P */ 0xc8, 0xbb, 0x13, 0x1c, 0x3f, 0x3c, 0x34, 0xfd, 0xac, 0x37, 0x52, 0x44, 0x25, 0xa8, 0xde, 0x1d, 0x63, 0xf4, 0x81, 0x9a, 0xbe, 0x0b, 0x74, 0x2e, 0xc8, 0x51, 0x16, 0xd3, 0xac, 0x4a, 0xaf, 0xe2, 0x5f, 0x3a, 0x89, 0x32, 0xd1, 0x9b, 0x7c, 0x90, 0x0d, 0xac, 0xdc, 0x8b, 0x73, 0x45, 0x45, 0x97, 0xb1, 0x90, 0x2c, 0x1b, 0x31, 0xca, 0xb1, 0x94, + /* (2^121)P */ 0x07, 0x28, 0xdd, 0x10, 0x14, 0xa5, 0x95, 0x7e, 0xf3, 0xe4, 0xd4, 0x14, 0xb4, 0x7e, 0x76, 0xdb, 0x42, 0xd6, 0x94, 0x3e, 0xeb, 0x44, 0x64, 0x88, 0x0d, 0xec, 0xc1, 0x21, 0xf0, 0x79, 0xe0, 0x83, 0x67, 0x55, 0x53, 0xc2, 0xf6, 0xc5, 0xc5, 0x89, 0x39, 0xe8, 0x42, 0xd0, 0x17, 0xbd, 0xff, 0x35, 0x59, 0x0e, 0xc3, 0x06, 0x86, 0xd4, 0x64, 0xcf, + /* (2^122)P */ 0x91, 0xa8, 0xdb, 0x57, 0x9b, 0xe2, 0x96, 0x31, 0x10, 0x6e, 0xd7, 0x9a, 0x97, 0xb3, 0xab, 0xb5, 0x15, 0x66, 0xbe, 0xcc, 0x6d, 0x9a, 0xac, 0x06, 0xb3, 0x0d, 0xaa, 0x4b, 0x9c, 0x96, 0x79, 0x6c, 0x34, 0xee, 0x9e, 0x53, 0x4d, 0x6e, 0xbd, 0x88, 0x02, 0xbf, 0x50, 0x54, 0x12, 0x5d, 0x01, 0x02, 0x46, 0xc6, 0x74, 0x02, 0x8c, 0x24, 0xae, 0xb1, + /* (2^123)P */ 0xf5, 0x22, 0xea, 0xac, 0x7d, 0x9c, 0x33, 0x8a, 0xa5, 0x36, 0x79, 0x6a, 0x4f, 0xa4, 0xdc, 0xa5, 0x73, 0x64, 0xc4, 0x6f, 0x43, 0x02, 0x3b, 0x94, 0x66, 0xd2, 0x4b, 0x4f, 0xf6, 0x45, 0x33, 0x5d, 0x10, 0x33, 0x18, 0x1e, 0xa3, 0xfc, 0xf7, 0xd2, 0xb8, 0xc8, 0xa7, 0xe0, 0x76, 0x8a, 0xcd, 0xff, 0x4f, 0x99, 0x34, 0x47, 0x84, 0x91, 0x96, 0x9f, + /* (2^124)P */ 0x8a, 0x48, 0x3b, 0x48, 0x4a, 0xbc, 0xac, 0xe2, 0x80, 0xd6, 0xd2, 0x35, 0xde, 0xd0, 0x56, 0x42, 0x33, 0xb3, 0x56, 0x5a, 0xcd, 0xb8, 0x3d, 0xb5, 0x25, 0xc1, 0xed, 0xff, 0x87, 0x0b, 0x79, 0xff, 0xf2, 0x62, 0xe1, 0x76, 0xc6, 0xa2, 0x0f, 0xa8, 0x9b, 0x0d, 0xcc, 0x3f, 0x3d, 0x35, 0x27, 0x8d, 0x0b, 0x74, 0xb0, 0xc3, 0x78, 0x8c, 0xcc, 0xc8, + /* (2^125)P */ 0xfc, 0x9a, 0x0c, 0xa8, 0x49, 0x42, 0xb8, 0xdf, 0xcf, 0xb3, 0x19, 0xa6, 0x64, 0x57, 0xfe, 0xe8, 0xf8, 0xa6, 0x4b, 0x86, 0xa1, 0xd5, 0x83, 0x7f, 0x14, 0x99, 0x18, 0x0c, 0x7d, 0x5b, 0xf7, 0x3d, 0xf9, 0x4b, 0x79, 0xb1, 0x86, 0x30, 0xb4, 0x5e, 0x6a, 0xe8, 0x9d, 0xfa, 0x8a, 0x41, 0xc4, 0x30, 0xfc, 0x56, 0x74, 0x14, 0x42, 0xc8, 0x96, 0x0e, + /* (2^126)P */ 0xdf, 0x66, 0xec, 0xbc, 0x44, 0xdb, 0x19, 0xce, 0xd4, 0xb5, 0x49, 0x40, 0x07, 0x49, 0xe0, 0x3a, 0x61, 0x10, 0xfb, 0x7d, 0xba, 0xb1, 0xe0, 0x28, 0x5b, 0x99, 0x59, 0x96, 0xa2, 0xee, 0xe0, 0x23, 0x37, 0x39, 0x1f, 0xe6, 0x57, 0x9f, 0xf8, 0xf8, 0xdc, 0x74, 0xf6, 0x8f, 0x4f, 0x5e, 0x51, 0xa4, 0x12, 0xac, 0xbe, 0xe4, 0xf3, 0xd1, 0xf0, 0x24, + /* (2^127)P */ 0x1e, 0x3e, 0x9a, 0x5f, 0xdf, 0x9f, 0xd6, 0x4e, 0x8a, 0x28, 0xc3, 0xcd, 0x96, 0x9d, 0x57, 0xc7, 0x61, 0x81, 0x90, 0xff, 0xae, 0xb1, 0x4f, 0xc2, 0x96, 0x8b, 0x1a, 0x18, 0xf4, 0x50, 0xcb, 0x31, 0xe1, 0x57, 0xf4, 0x90, 0xa8, 0xea, 0xac, 0xe7, 0x61, 0x98, 0xb6, 0x15, 0xc1, 0x7b, 0x29, 0xa4, 0xc3, 0x18, 0xef, 0xb9, 0xd8, 0xdf, 0xf6, 0xac, + /* (2^128)P */ 0xca, 0xa8, 0x6c, 0xf1, 0xb4, 0xca, 0xfe, 0x31, 0xee, 0x48, 0x38, 0x8b, 0x0e, 0xbb, 0x7a, 0x30, 0xaa, 0xf9, 0xee, 0x27, 0x53, 0x24, 0xdc, 0x2e, 0x15, 0xa6, 0x48, 0x8f, 0xa0, 0x7e, 0xf1, 0xdc, 0x93, 0x87, 0x39, 0xeb, 0x7f, 0x38, 0x92, 0x92, 0x4c, 0x29, 0xe9, 0x57, 0xd8, 0x59, 0xfc, 0xe9, 0x9c, 0x44, 0xc0, 0x65, 0xcf, 0xac, 0x4b, 0xdc, + /* (2^129)P */ 0xa3, 0xd0, 0x37, 0x8f, 0x86, 0x2f, 0xc6, 0x47, 0x55, 0x46, 0x65, 0x26, 0x4b, 0x91, 0xe2, 0x18, 0x5c, 0x4f, 0x23, 0xc1, 0x37, 0x29, 0xb9, 0xc1, 0x27, 0xc5, 0x3c, 0xbf, 0x7e, 0x23, 0xdb, 0x73, 0x99, 0xbd, 0x1b, 0xb2, 0x31, 0x68, 0x3a, 0xad, 0xb7, 0xb0, 0x10, 0xc5, 0xe5, 0x11, 0x51, 0xba, 0xa7, 0x60, 0x66, 0x54, 0xf0, 0x08, 0xd7, 0x69, + /* (2^130)P */ 0x89, 0x41, 0x79, 0xcc, 0xeb, 0x0a, 0xf5, 0x4b, 0xa3, 0x4c, 0xce, 0x52, 0xb0, 0xa7, 0xe4, 0x41, 0x75, 0x7d, 0x04, 0xbb, 0x09, 0x4c, 0x50, 0x9f, 0xdf, 0xea, 0x74, 0x61, 0x02, 0xad, 0xb4, 0x9d, 0xb7, 0x05, 0xb9, 0xea, 0xeb, 0x91, 0x35, 0xe7, 0x49, 0xea, 0xd3, 0x4f, 0x3c, 0x60, 0x21, 0x7a, 0xde, 0xc7, 0xe2, 0x5a, 0xee, 0x8e, 0x93, 0xc7, + /* (2^131)P */ 0x00, 0xe8, 0xed, 0xd0, 0xb3, 0x0d, 0xaf, 0xb2, 0xde, 0x2c, 0xf6, 0x00, 0xe2, 0xea, 0x6d, 0xf8, 0x0e, 0xd9, 0x67, 0x59, 0xa9, 0x50, 0xbb, 0x17, 0x8f, 0xff, 0xb1, 0x9f, 0x17, 0xb6, 0xf2, 0xb5, 0xba, 0x80, 0xf7, 0x0f, 0xba, 0xd5, 0x09, 0x43, 0xaa, 0x4e, 0x3a, 0x67, 0x6a, 0x89, 0x9b, 0x18, 0x65, 0x35, 0xf8, 0x3a, 0x49, 0x91, 0x30, 0x51, + /* (2^132)P */ 0x8d, 0x25, 0xe9, 0x0e, 0x7d, 0x50, 0x76, 0xe4, 0x58, 0x7e, 0xb9, 0x33, 0xe6, 0x65, 0x90, 0xc2, 0x50, 0x9d, 0x50, 0x2e, 0x11, 0xad, 0xd5, 0x43, 0x52, 0x32, 0x41, 0x4f, 0x7b, 0xb6, 0xa0, 0xec, 0x81, 0x75, 0x36, 0x7c, 0x77, 0x85, 0x59, 0x70, 0xe4, 0xf9, 0xef, 0x66, 0x8d, 0x35, 0xc8, 0x2a, 0x6e, 0x5b, 0xc6, 0x0d, 0x0b, 0x29, 0x60, 0x68, + /* (2^133)P */ 0xf8, 0xce, 0xb0, 0x3a, 0x56, 0x7d, 0x51, 0x9a, 0x25, 0x73, 0xea, 0xdd, 0xe4, 0xe0, 0x0e, 0xf0, 0x07, 0xc0, 0x31, 0x00, 0x73, 0x35, 0xd0, 0x39, 0xc4, 0x9b, 0xb7, 0x95, 0xe0, 0x62, 0x70, 0x36, 0x0b, 0xcb, 0xa0, 0x42, 0xde, 0x51, 0xcf, 0x41, 0xe0, 0xb8, 0xb4, 0xc0, 0xe5, 0x46, 0x99, 0x9f, 0x02, 0x7f, 0x14, 0x8c, 0xc1, 0x4e, 0xef, 0xe8, + /* (2^134)P */ 0x10, 0x01, 0x57, 0x0a, 0xbe, 0x8b, 0x18, 0xc8, 0xca, 0x00, 0x28, 0x77, 0x4a, 0x9a, 0xc7, 0x55, 0x2a, 0xcc, 0x0c, 0x7b, 0xb9, 0xe9, 0xc8, 0x97, 0x7c, 0x02, 0xe3, 0x09, 0x2f, 0x62, 0x30, 0xb8, 0x40, 0x09, 0x65, 0xe9, 0x55, 0x63, 0xb5, 0x07, 0xca, 0x9f, 0x00, 0xdf, 0x9d, 0x5c, 0xc7, 0xee, 0x57, 0xa5, 0x90, 0x15, 0x1e, 0x22, 0xa0, 0x12, + /* (2^135)P */ 0x71, 0x2d, 0xc9, 0xef, 0x27, 0xb9, 0xd8, 0x12, 0x43, 0x6b, 0xa8, 0xce, 0x3b, 0x6d, 0x6e, 0x91, 0x43, 0x23, 0xbc, 0x32, 0xb3, 0xbf, 0xe1, 0xc7, 0x39, 0xcf, 0x7c, 0x42, 0x4c, 0xb1, 0x30, 0xe2, 0xdd, 0x69, 0x06, 0xe5, 0xea, 0xf0, 0x2a, 0x16, 0x50, 0x71, 0xca, 0x92, 0xdf, 0xc1, 0xcc, 0xec, 0xe6, 0x54, 0x07, 0xf3, 0x18, 0x8d, 0xd8, 0x29, + /* (2^136)P */ 0x98, 0x51, 0x48, 0x8f, 0xfa, 0x2e, 0x5e, 0x67, 0xb0, 0xc6, 0x17, 0x12, 0xb6, 0x7d, 0xc9, 0xad, 0x81, 0x11, 0xad, 0x0c, 0x1c, 0x2d, 0x45, 0xdf, 0xac, 0x66, 0xbd, 0x08, 0x6f, 0x7c, 0xc7, 0x06, 0x6e, 0x19, 0x08, 0x39, 0x64, 0xd7, 0xe4, 0xd1, 0x11, 0x5f, 0x1c, 0xf4, 0x67, 0xc3, 0x88, 0x6a, 0xe6, 0x07, 0xa3, 0x83, 0xd7, 0xfd, 0x2a, 0xf9, + /* (2^137)P */ 0x87, 0xed, 0xeb, 0xd9, 0xdf, 0xff, 0x43, 0x8b, 0xaa, 0x20, 0x58, 0xb0, 0xb4, 0x6b, 0x14, 0xb8, 0x02, 0xc5, 0x40, 0x20, 0x22, 0xbb, 0xf7, 0xb4, 0xf3, 0x05, 0x1e, 0x4d, 0x94, 0xff, 0xe3, 0xc5, 0x22, 0x82, 0xfe, 0xaf, 0x90, 0x42, 0x98, 0x6b, 0x76, 0x8b, 0x3e, 0x89, 0x3f, 0x42, 0x2a, 0xa7, 0x26, 0x00, 0xda, 0x5c, 0xa2, 0x2b, 0xec, 0xdd, + /* (2^138)P */ 0x5c, 0x21, 0x16, 0x0d, 0x46, 0xb8, 0xd0, 0xa7, 0x88, 0xe7, 0x25, 0xcb, 0x3e, 0x50, 0x73, 0x61, 0xe7, 0xaf, 0x5a, 0x3f, 0x47, 0x8b, 0x3d, 0x97, 0x79, 0x2c, 0xe6, 0x6d, 0x95, 0x74, 0x65, 0x70, 0x36, 0xfd, 0xd1, 0x9e, 0x13, 0x18, 0x63, 0xb1, 0x2d, 0x0b, 0xb5, 0x36, 0x3e, 0xe7, 0x35, 0x42, 0x3b, 0xe6, 0x1f, 0x4d, 0x9d, 0x59, 0xa2, 0x43, + /* (2^139)P */ 0x8c, 0x0c, 0x7c, 0x24, 0x9e, 0xe0, 0xf8, 0x05, 0x1c, 0x9e, 0x1f, 0x31, 0xc0, 0x70, 0xb3, 0xfb, 0x4e, 0xf8, 0x0a, 0x57, 0xb7, 0x49, 0xb5, 0x73, 0xa1, 0x5f, 0x9b, 0x6a, 0x07, 0x6c, 0x87, 0x71, 0x87, 0xd4, 0xbe, 0x98, 0x1e, 0x98, 0xee, 0x52, 0xc1, 0x7b, 0x95, 0x0f, 0x28, 0x32, 0x36, 0x28, 0xd0, 0x3a, 0x0f, 0x7d, 0x2a, 0xa9, 0x62, 0xb9, + /* (2^140)P */ 0x97, 0xe6, 0x18, 0x77, 0xf9, 0x34, 0xac, 0xbc, 0xe0, 0x62, 0x9f, 0x42, 0xde, 0xbd, 0x2f, 0xf7, 0x1f, 0xb7, 0x14, 0x52, 0x8a, 0x79, 0xb2, 0x3f, 0xd2, 0x95, 0x71, 0x01, 0xe8, 0xaf, 0x8c, 0xa4, 0xa4, 0xa7, 0x27, 0xf3, 0x5c, 0xdf, 0x3e, 0x57, 0x7a, 0xf1, 0x76, 0x49, 0xe6, 0x42, 0x3f, 0x8f, 0x1e, 0x63, 0x4a, 0x65, 0xb5, 0x41, 0xf5, 0x02, + /* (2^141)P */ 0x72, 0x85, 0xc5, 0x0b, 0xe1, 0x47, 0x64, 0x02, 0xc5, 0x4d, 0x81, 0x69, 0xb2, 0xcf, 0x0f, 0x6c, 0xd4, 0x6d, 0xd0, 0xc7, 0xb4, 0x1c, 0xd0, 0x32, 0x59, 0x89, 0xe2, 0xe0, 0x96, 0x8b, 0x12, 0x98, 0xbf, 0x63, 0x7a, 0x4c, 0x76, 0x7e, 0x58, 0x17, 0x8f, 0x5b, 0x0a, 0x59, 0x65, 0x75, 0xbc, 0x61, 0x1f, 0xbe, 0xc5, 0x6e, 0x0a, 0x57, 0x52, 0x70, + /* (2^142)P */ 0x92, 0x1c, 0x77, 0xbb, 0x62, 0x02, 0x6c, 0x25, 0x9c, 0x66, 0x07, 0x83, 0xab, 0xcc, 0x80, 0x5d, 0xd2, 0x76, 0x0c, 0xa4, 0xc5, 0xb4, 0x8a, 0x68, 0x23, 0x31, 0x32, 0x29, 0x8a, 0x47, 0x92, 0x12, 0x80, 0xb3, 0xfa, 0x18, 0xe4, 0x8d, 0xc0, 0x4d, 0xfe, 0x97, 0x5f, 0x72, 0x41, 0xb5, 0x5c, 0x7a, 0xbd, 0xf0, 0xcf, 0x5e, 0x97, 0xaa, 0x64, 0x32, + /* (2^143)P */ 0x35, 0x3f, 0x75, 0xc1, 0x7a, 0x75, 0x7e, 0xa9, 0xc6, 0x0b, 0x4e, 0x32, 0x62, 0xec, 0xe3, 0x5c, 0xfb, 0x01, 0x43, 0xb6, 0xd4, 0x5b, 0x75, 0xd2, 0xee, 0x7f, 0x5d, 0x23, 0x2b, 0xb3, 0x54, 0x34, 0x4c, 0xd3, 0xb4, 0x32, 0x84, 0x81, 0xb5, 0x09, 0x76, 0x19, 0xda, 0x58, 0xda, 0x7c, 0xdb, 0x2e, 0xdd, 0x4c, 0x8e, 0xdd, 0x5d, 0x89, 0x10, 0x10, + /* (2^144)P */ 0x57, 0x25, 0x6a, 0x08, 0x37, 0x92, 0xa8, 0xdf, 0x24, 0xef, 0x8f, 0x33, 0x34, 0x52, 0xa4, 0x4c, 0xf0, 0x77, 0x9f, 0x69, 0x77, 0xd5, 0x8f, 0xd2, 0x9a, 0xb3, 0xb6, 0x1d, 0x2d, 0xa6, 0xf7, 0x1f, 0xda, 0xd7, 0xcb, 0x75, 0x11, 0xc3, 0x6b, 0xc0, 0x38, 0xb1, 0xd5, 0x2d, 0x96, 0x84, 0x16, 0xfa, 0x26, 0xb9, 0xcc, 0x3f, 0x16, 0x47, 0x23, 0x74, + /* (2^145)P */ 0x9b, 0x61, 0x2a, 0x1c, 0xdd, 0x39, 0xa5, 0xfa, 0x1c, 0x7d, 0x63, 0x50, 0xca, 0xe6, 0x9d, 0xfa, 0xb7, 0xc4, 0x4c, 0x6a, 0x97, 0x5f, 0x36, 0x4e, 0x47, 0xdd, 0x17, 0xf7, 0xf9, 0x19, 0xce, 0x75, 0x17, 0xad, 0xce, 0x2a, 0xf3, 0xfe, 0x27, 0x8f, 0x3e, 0x48, 0xc0, 0x60, 0x87, 0x24, 0x19, 0xae, 0x59, 0xe4, 0x5a, 0x00, 0x2a, 0xba, 0xa2, 0x1f, + /* (2^146)P */ 0x26, 0x88, 0x42, 0x60, 0x9f, 0x6e, 0x2c, 0x7c, 0x39, 0x0f, 0x47, 0x6a, 0x0e, 0x02, 0xbb, 0x4b, 0x34, 0x29, 0x55, 0x18, 0x36, 0xcf, 0x3b, 0x47, 0xf1, 0x2e, 0xfc, 0x6e, 0x94, 0xff, 0xe8, 0x6b, 0x06, 0xd2, 0xba, 0x77, 0x5e, 0x60, 0xd7, 0x19, 0xef, 0x02, 0x9d, 0x3a, 0xc2, 0xb7, 0xa9, 0xd8, 0x57, 0xee, 0x7e, 0x2b, 0xf2, 0x6d, 0x28, 0xda, + /* (2^147)P */ 0xdf, 0xd9, 0x92, 0x11, 0x98, 0x23, 0xe2, 0x45, 0x2f, 0x74, 0x70, 0xee, 0x0e, 0x55, 0x65, 0x79, 0x86, 0x38, 0x17, 0x92, 0x85, 0x87, 0x99, 0x50, 0xd9, 0x7c, 0xdb, 0xa1, 0x10, 0xec, 0x30, 0xb7, 0x40, 0xa3, 0x23, 0x9b, 0x0e, 0x27, 0x49, 0x29, 0x03, 0x94, 0xff, 0x53, 0xdc, 0xd7, 0xed, 0x49, 0xa9, 0x5a, 0x3b, 0xee, 0xd7, 0xc7, 0x65, 0xaf, + /* (2^148)P */ 0xa0, 0xbd, 0xbe, 0x03, 0xee, 0x0c, 0xbe, 0x32, 0x00, 0x7b, 0x52, 0xcb, 0x92, 0x29, 0xbf, 0xa0, 0xc6, 0xd9, 0xd2, 0xd6, 0x15, 0xe8, 0x3a, 0x75, 0x61, 0x65, 0x56, 0xae, 0xad, 0x3c, 0x2a, 0x64, 0x14, 0x3f, 0x8e, 0xc1, 0x2d, 0x0c, 0x8d, 0x20, 0xdb, 0x58, 0x4b, 0xe5, 0x40, 0x15, 0x4b, 0xdc, 0xa8, 0xbd, 0xef, 0x08, 0xa7, 0xd1, 0xf4, 0xb0, + /* (2^149)P */ 0xa9, 0x0f, 0x05, 0x94, 0x66, 0xac, 0x1f, 0x65, 0x3f, 0xe1, 0xb8, 0xe1, 0x34, 0x5e, 0x1d, 0x8f, 0xe3, 0x93, 0x03, 0x15, 0xff, 0xb6, 0x65, 0xb6, 0x6e, 0xc0, 0x2f, 0xd4, 0x2e, 0xb9, 0x2c, 0x13, 0x3c, 0x99, 0x1c, 0xb5, 0x87, 0xba, 0x79, 0xcb, 0xf0, 0x18, 0x06, 0x86, 0x04, 0x14, 0x25, 0x09, 0xcd, 0x1c, 0x14, 0xda, 0x35, 0xd0, 0x38, 0x3b, + /* (2^150)P */ 0x1b, 0x04, 0xa3, 0x27, 0xb4, 0xd3, 0x37, 0x48, 0x1e, 0x8f, 0x69, 0xd3, 0x5a, 0x2f, 0x20, 0x02, 0x36, 0xbe, 0x06, 0x7b, 0x6b, 0x6c, 0x12, 0x5b, 0x80, 0x74, 0x44, 0xe6, 0xf8, 0xf5, 0x95, 0x59, 0x29, 0xab, 0x51, 0x47, 0x83, 0x28, 0xe0, 0xad, 0xde, 0xaa, 0xd3, 0xb1, 0x1a, 0xcb, 0xa3, 0xcd, 0x8b, 0x6a, 0xb1, 0xa7, 0x0a, 0xd1, 0xf9, 0xbe, + /* (2^151)P */ 0xce, 0x2f, 0x85, 0xca, 0x74, 0x6d, 0x49, 0xb8, 0xce, 0x80, 0x44, 0xe0, 0xda, 0x5b, 0xcf, 0x2f, 0x79, 0x74, 0xfe, 0xb4, 0x2c, 0x99, 0x20, 0x6e, 0x09, 0x04, 0xfb, 0x6d, 0x57, 0x5b, 0x95, 0x0c, 0x45, 0xda, 0x4f, 0x7f, 0x63, 0xcc, 0x85, 0x5a, 0x67, 0x50, 0x68, 0x71, 0xb4, 0x67, 0xb1, 0x2e, 0xc1, 0x1c, 0xdc, 0xff, 0x2a, 0x7c, 0x10, 0x5e, + /* (2^152)P */ 0xa6, 0xde, 0xf3, 0xd4, 0x22, 0x30, 0x24, 0x9e, 0x0b, 0x30, 0x54, 0x59, 0x7e, 0xa2, 0xeb, 0x89, 0x54, 0x65, 0x3e, 0x40, 0xd1, 0xde, 0xe6, 0xee, 0x4d, 0xbf, 0x5e, 0x40, 0x1d, 0xee, 0x4f, 0x68, 0xd9, 0xa7, 0x2f, 0xb3, 0x64, 0xb3, 0xf5, 0xc8, 0xd3, 0xaa, 0x70, 0x70, 0x3d, 0xef, 0xd3, 0x95, 0x54, 0xdb, 0x3e, 0x94, 0x95, 0x92, 0x1f, 0x45, + /* (2^153)P */ 0x22, 0x80, 0x1d, 0x9d, 0x96, 0xa5, 0x78, 0x6f, 0xe0, 0x1e, 0x1b, 0x66, 0x42, 0xc8, 0xae, 0x9e, 0x46, 0x45, 0x08, 0x41, 0xdf, 0x80, 0xae, 0x6f, 0xdb, 0x15, 0x5a, 0x21, 0x31, 0x7a, 0xd0, 0xf2, 0x54, 0x15, 0x88, 0xd3, 0x0f, 0x7f, 0x14, 0x5a, 0x14, 0x97, 0xab, 0xf4, 0x58, 0x6a, 0x9f, 0xea, 0x74, 0xe5, 0x6b, 0x90, 0x59, 0x2b, 0x48, 0xd9, + /* (2^154)P */ 0x12, 0x24, 0x04, 0xf5, 0x50, 0xc2, 0x8c, 0xb0, 0x7c, 0x46, 0x98, 0xd5, 0x24, 0xad, 0xf6, 0x72, 0xdc, 0x82, 0x1a, 0x60, 0xc1, 0xeb, 0x48, 0xef, 0x7f, 0x6e, 0xe6, 0xcc, 0xdb, 0x7b, 0xae, 0xbe, 0x5e, 0x1e, 0x5c, 0xe6, 0x0a, 0x70, 0xdf, 0xa4, 0xa3, 0x85, 0x1b, 0x1b, 0x7f, 0x72, 0xb9, 0x96, 0x6f, 0xdc, 0x03, 0x76, 0x66, 0xfb, 0xa0, 0x33, + /* (2^155)P */ 0x37, 0x40, 0xbb, 0xbc, 0x68, 0x58, 0x86, 0xca, 0xbb, 0xa5, 0x24, 0x76, 0x3d, 0x48, 0xd1, 0xad, 0xb4, 0xa8, 0xcf, 0xc3, 0xb6, 0xa8, 0xba, 0x1a, 0x3a, 0xbe, 0x33, 0x75, 0x04, 0x5c, 0x13, 0x8c, 0x0d, 0x70, 0x8d, 0xa6, 0x4e, 0x2a, 0xeb, 0x17, 0x3c, 0x22, 0xdd, 0x3e, 0x96, 0x40, 0x11, 0x9e, 0x4e, 0xae, 0x3d, 0xf8, 0x91, 0xd7, 0x50, 0xc8, + /* (2^156)P */ 0xd8, 0xca, 0xde, 0x19, 0xcf, 0x00, 0xe4, 0x73, 0x18, 0x7f, 0x9b, 0x9f, 0xf4, 0x5b, 0x49, 0x49, 0x99, 0xdc, 0xa4, 0x46, 0x21, 0xb5, 0xd7, 0x3e, 0xb7, 0x47, 0x1b, 0xa9, 0x9f, 0x4c, 0x69, 0x7d, 0xec, 0x33, 0xd6, 0x1c, 0x51, 0x7f, 0x47, 0x74, 0x7a, 0x6c, 0xf3, 0xd2, 0x2e, 0xbf, 0xdf, 0x6c, 0x9e, 0x77, 0x3b, 0x34, 0xf6, 0x73, 0x80, 0xed, + /* (2^157)P */ 0x16, 0xfb, 0x16, 0xc3, 0xc2, 0x83, 0xe4, 0xf4, 0x03, 0x7f, 0x52, 0xb0, 0x67, 0x51, 0x7b, 0x24, 0x5a, 0x51, 0xd3, 0xb6, 0x4e, 0x59, 0x76, 0xcd, 0x08, 0x7b, 0x1d, 0x7a, 0x9c, 0x65, 0xae, 0xce, 0xaa, 0xd2, 0x1c, 0x85, 0x66, 0x68, 0x06, 0x15, 0xa8, 0x06, 0xe6, 0x16, 0x37, 0xf4, 0x49, 0x9e, 0x0f, 0x50, 0x37, 0xb1, 0xb2, 0x93, 0x70, 0x43, + /* (2^158)P */ 0x18, 0x3a, 0x16, 0xe5, 0x8d, 0xc8, 0x35, 0xd6, 0x7b, 0x09, 0xec, 0x61, 0x5f, 0x5c, 0x2a, 0x19, 0x96, 0x2e, 0xc3, 0xfd, 0xab, 0xe6, 0x23, 0xae, 0xab, 0xc5, 0xcb, 0xb9, 0x7b, 0x2d, 0x34, 0x51, 0xb9, 0x41, 0x9e, 0x7d, 0xca, 0xda, 0x25, 0x45, 0x14, 0xb0, 0xc7, 0x4d, 0x26, 0x2b, 0xfe, 0x43, 0xb0, 0x21, 0x5e, 0xfa, 0xdc, 0x7c, 0xf9, 0x5a, + /* (2^159)P */ 0x94, 0xad, 0x42, 0x17, 0xf5, 0xcd, 0x1c, 0x0d, 0xf6, 0x41, 0xd2, 0x55, 0xbb, 0x50, 0xf1, 0xc6, 0xbc, 0xa6, 0xc5, 0x3a, 0xfd, 0x9b, 0x75, 0x3e, 0xf6, 0x1a, 0xa7, 0xb2, 0x6e, 0x64, 0x12, 0xdc, 0x3c, 0xe5, 0xf6, 0xfc, 0x3b, 0xfa, 0x43, 0x81, 0xd4, 0xa5, 0xee, 0xf5, 0x9c, 0x47, 0x2f, 0xd0, 0x9c, 0xde, 0xa1, 0x48, 0x91, 0x9a, 0x34, 0xc1, + /* (2^160)P */ 0x37, 0x1b, 0xb3, 0x88, 0xc9, 0x98, 0x4e, 0xfb, 0x84, 0x4f, 0x2b, 0x0a, 0xb6, 0x8f, 0x35, 0x15, 0xcd, 0x61, 0x7a, 0x5f, 0x5c, 0xa0, 0xca, 0x23, 0xa0, 0x93, 0x1f, 0xcc, 0x3c, 0x39, 0x3a, 0x24, 0xa7, 0x49, 0xad, 0x8d, 0x59, 0xcc, 0x94, 0x5a, 0x16, 0xf5, 0x70, 0xe8, 0x52, 0x1e, 0xee, 0x20, 0x30, 0x17, 0x7e, 0xf0, 0x4c, 0x93, 0x06, 0x5a, + /* (2^161)P */ 0x81, 0xba, 0x3b, 0xd7, 0x3e, 0xb4, 0x32, 0x3a, 0x22, 0x39, 0x2a, 0xfc, 0x19, 0xd9, 0xd2, 0xf6, 0xc5, 0x79, 0x6c, 0x0e, 0xde, 0xda, 0x01, 0xff, 0x52, 0xfb, 0xb6, 0x95, 0x4e, 0x7a, 0x10, 0xb8, 0x06, 0x86, 0x3c, 0xcd, 0x56, 0xd6, 0x15, 0xbf, 0x6e, 0x3e, 0x4f, 0x35, 0x5e, 0xca, 0xbc, 0xa5, 0x95, 0xa2, 0xdf, 0x2d, 0x1d, 0xaf, 0x59, 0xf9, + /* (2^162)P */ 0x69, 0xe5, 0xe2, 0xfa, 0xc9, 0x7f, 0xdd, 0x09, 0xf5, 0x6b, 0x4e, 0x2e, 0xbe, 0xb4, 0xbf, 0x3e, 0xb2, 0xf2, 0x81, 0x30, 0xe1, 0x07, 0xa8, 0x0d, 0x2b, 0xd2, 0x5a, 0x55, 0xbe, 0x4b, 0x86, 0x5d, 0xb0, 0x5e, 0x7c, 0x8f, 0xc1, 0x3c, 0x81, 0x4c, 0xf7, 0x6d, 0x7d, 0xe6, 0x4f, 0x8a, 0x85, 0xc2, 0x2f, 0x28, 0xef, 0x8c, 0x69, 0xc2, 0xc2, 0x1a, + /* (2^163)P */ 0xd9, 0xe4, 0x0e, 0x1e, 0xc2, 0xf7, 0x2f, 0x9f, 0xa1, 0x40, 0xfe, 0x46, 0x16, 0xaf, 0x2e, 0xd1, 0xec, 0x15, 0x9b, 0x61, 0x92, 0xce, 0xfc, 0x10, 0x43, 0x1d, 0x00, 0xf6, 0xbe, 0x20, 0x80, 0x80, 0x6f, 0x3c, 0x16, 0x94, 0x59, 0xba, 0x03, 0x53, 0x6e, 0xb6, 0xdd, 0x25, 0x7b, 0x86, 0xbf, 0x96, 0xf4, 0x2f, 0xa1, 0x96, 0x8d, 0xf9, 0xb3, 0x29, + /* (2^164)P */ 0x3b, 0x04, 0x60, 0x6e, 0xce, 0xab, 0xd2, 0x63, 0x18, 0x53, 0x88, 0x16, 0x4a, 0x6a, 0xab, 0x72, 0x03, 0x68, 0xa5, 0xd4, 0x0d, 0xb2, 0x82, 0x81, 0x1f, 0x2b, 0x5c, 0x75, 0xe8, 0xd2, 0x1d, 0x7f, 0xe7, 0x1b, 0x35, 0x02, 0xde, 0xec, 0xbd, 0xcb, 0xc7, 0x01, 0xd3, 0x95, 0x61, 0xfe, 0xb2, 0x7a, 0x66, 0x09, 0x4c, 0x6d, 0xfd, 0x39, 0xf7, 0x52, + /* (2^165)P */ 0x42, 0xc1, 0x5f, 0xf8, 0x35, 0x52, 0xc1, 0xfe, 0xc5, 0x11, 0x80, 0x1c, 0x11, 0x46, 0x31, 0x11, 0xbe, 0xd0, 0xc4, 0xb6, 0x07, 0x13, 0x38, 0xa0, 0x8d, 0x65, 0xf0, 0x56, 0x9e, 0x16, 0xbf, 0x9d, 0xcd, 0x51, 0x34, 0xf9, 0x08, 0x48, 0x7b, 0x76, 0x0c, 0x7b, 0x30, 0x07, 0xa8, 0x76, 0xaf, 0xa3, 0x29, 0x38, 0xb0, 0x58, 0xde, 0x72, 0x4b, 0x45, + /* (2^166)P */ 0xd4, 0x16, 0xa7, 0xc0, 0xb4, 0x9f, 0xdf, 0x1a, 0x37, 0xc8, 0x35, 0xed, 0xc5, 0x85, 0x74, 0x64, 0x09, 0x22, 0xef, 0xe9, 0x0c, 0xaf, 0x12, 0x4c, 0x9e, 0xf8, 0x47, 0x56, 0xe0, 0x7f, 0x4e, 0x24, 0x6b, 0x0c, 0xe7, 0xad, 0xc6, 0x47, 0x1d, 0xa4, 0x0d, 0x86, 0x89, 0x65, 0xe8, 0x5f, 0x71, 0xc7, 0xe9, 0xcd, 0xec, 0x6c, 0x62, 0xc7, 0xe3, 0xb3, + /* (2^167)P */ 0xb5, 0xea, 0x86, 0xe3, 0x15, 0x18, 0x3f, 0x6d, 0x7b, 0x05, 0x95, 0x15, 0x53, 0x26, 0x1c, 0xeb, 0xbe, 0x7e, 0x16, 0x42, 0x4b, 0xa2, 0x3d, 0xdd, 0x0e, 0xff, 0xba, 0x67, 0xb5, 0xae, 0x7a, 0x17, 0xde, 0x23, 0xad, 0x14, 0xcc, 0xd7, 0xaf, 0x57, 0x01, 0xe0, 0xdd, 0x48, 0xdd, 0xd7, 0xe3, 0xdf, 0xe9, 0x2d, 0xda, 0x67, 0xa4, 0x9f, 0x29, 0x04, + /* (2^168)P */ 0x16, 0x53, 0xe6, 0x9c, 0x4e, 0xe5, 0x1e, 0x70, 0x81, 0x25, 0x02, 0x9b, 0x47, 0x6d, 0xd2, 0x08, 0x73, 0xbe, 0x0a, 0xf1, 0x7b, 0xeb, 0x24, 0xeb, 0x38, 0x23, 0x5c, 0xb6, 0x3e, 0xce, 0x1e, 0xe3, 0xbc, 0x82, 0x35, 0x1f, 0xaf, 0x3a, 0x3a, 0xe5, 0x4e, 0xc1, 0xca, 0xbf, 0x47, 0xb4, 0xbb, 0xbc, 0x5f, 0xea, 0xc6, 0xca, 0xf3, 0xa0, 0xa2, 0x73, + /* (2^169)P */ 0xef, 0xa4, 0x7a, 0x4e, 0xe4, 0xc7, 0xb6, 0x43, 0x2e, 0xa5, 0xe4, 0xa5, 0xba, 0x1e, 0xa5, 0xfe, 0x9e, 0xce, 0xa9, 0x80, 0x04, 0xcb, 0x4f, 0xd8, 0x74, 0x05, 0x48, 0xfa, 0x99, 0x11, 0x5d, 0x97, 0x3b, 0x07, 0x0d, 0xdd, 0xe6, 0xb1, 0x74, 0x87, 0x1a, 0xd3, 0x26, 0xb7, 0x8f, 0xe1, 0x63, 0x3d, 0xec, 0x53, 0x93, 0xb0, 0x81, 0x78, 0x34, 0xa4, + /* (2^170)P */ 0xe1, 0xe7, 0xd4, 0x58, 0x9d, 0x0e, 0x8b, 0x65, 0x66, 0x37, 0x16, 0x48, 0x6f, 0xaa, 0x42, 0x37, 0x77, 0xad, 0xb1, 0x56, 0x48, 0xdf, 0x65, 0x36, 0x30, 0xb8, 0x00, 0x12, 0xd8, 0x32, 0x28, 0x7f, 0xc1, 0x71, 0xeb, 0x93, 0x0f, 0x48, 0x04, 0xe1, 0x5a, 0x6a, 0x96, 0xc1, 0xca, 0x89, 0x6d, 0x1b, 0x82, 0x4c, 0x18, 0x6d, 0x55, 0x4b, 0xea, 0xfd, + /* (2^171)P */ 0x62, 0x1a, 0x53, 0xb4, 0xb1, 0xbe, 0x6f, 0x15, 0x18, 0x88, 0xd4, 0x66, 0x61, 0xc7, 0x12, 0x69, 0x02, 0xbd, 0x03, 0x23, 0x2b, 0xef, 0xf9, 0x54, 0xa4, 0x85, 0xa8, 0xe3, 0xb7, 0xbd, 0xa9, 0xa3, 0xf3, 0x2a, 0xdd, 0xf1, 0xd4, 0x03, 0x0f, 0xa9, 0xa1, 0xd8, 0xa3, 0xcd, 0xb2, 0x71, 0x90, 0x4b, 0x35, 0x62, 0xf2, 0x2f, 0xce, 0x67, 0x1f, 0xaa, + /* (2^172)P */ 0x9e, 0x1e, 0xcd, 0x43, 0x7e, 0x87, 0x37, 0x94, 0x3a, 0x97, 0x4c, 0x7e, 0xee, 0xc9, 0x37, 0x85, 0xf1, 0xd9, 0x4f, 0xbf, 0xf9, 0x6f, 0x39, 0x9a, 0x39, 0x87, 0x2e, 0x25, 0x84, 0x42, 0xc3, 0x80, 0xcb, 0x07, 0x22, 0xae, 0x30, 0xd5, 0x50, 0xa1, 0x23, 0xcc, 0x31, 0x81, 0x9d, 0xf1, 0x30, 0xd9, 0x2b, 0x73, 0x41, 0x16, 0x50, 0xab, 0x2d, 0xa2, + /* (2^173)P */ 0xa4, 0x69, 0x4f, 0xa1, 0x4e, 0xb9, 0xbf, 0x14, 0xe8, 0x2b, 0x04, 0x93, 0xb7, 0x6e, 0x9f, 0x7d, 0x73, 0x0a, 0xc5, 0x14, 0xb8, 0xde, 0x8c, 0xc1, 0xfe, 0xc0, 0xa7, 0xa4, 0xcc, 0x42, 0x42, 0x81, 0x15, 0x65, 0x8a, 0x80, 0xb9, 0xde, 0x1f, 0x60, 0x33, 0x0e, 0xcb, 0xfc, 0xe0, 0xdb, 0x83, 0xa1, 0xe5, 0xd0, 0x16, 0x86, 0x2c, 0xe2, 0x87, 0xed, + /* (2^174)P */ 0x7a, 0xc0, 0xeb, 0x6b, 0xf6, 0x0d, 0x4c, 0x6d, 0x1e, 0xdb, 0xab, 0xe7, 0x19, 0x45, 0xc6, 0xe3, 0xb2, 0x06, 0xbb, 0xbc, 0x70, 0x99, 0x83, 0x33, 0xeb, 0x28, 0xc8, 0x77, 0xf6, 0x4d, 0x01, 0xb7, 0x59, 0xa0, 0xd2, 0xb3, 0x2a, 0x72, 0x30, 0xe7, 0x11, 0x39, 0xb6, 0x41, 0x29, 0x65, 0x5a, 0x14, 0xb9, 0x86, 0x08, 0xe0, 0x7d, 0x32, 0x8c, 0xf0, + /* (2^175)P */ 0x5c, 0x11, 0x30, 0x9e, 0x05, 0x27, 0xf5, 0x45, 0x0f, 0xb3, 0xc9, 0x75, 0xc3, 0xd7, 0xe1, 0x82, 0x3b, 0x8e, 0x87, 0x23, 0x00, 0x15, 0x19, 0x07, 0xd9, 0x21, 0x53, 0xc7, 0xf1, 0xa3, 0xbf, 0x70, 0x64, 0x15, 0x18, 0xca, 0x23, 0x9e, 0xd3, 0x08, 0xc3, 0x2a, 0x8b, 0xe5, 0x83, 0x04, 0x89, 0x14, 0xfd, 0x28, 0x25, 0x1c, 0xe3, 0x26, 0xa7, 0x22, + /* (2^176)P */ 0xdc, 0xd4, 0x75, 0x60, 0x99, 0x94, 0xea, 0x09, 0x8e, 0x8a, 0x3c, 0x1b, 0xf9, 0xbd, 0x33, 0x0d, 0x51, 0x3d, 0x12, 0x6f, 0x4e, 0x72, 0xe0, 0x17, 0x20, 0xe9, 0x75, 0xe6, 0x3a, 0xb2, 0x13, 0x83, 0x4e, 0x7a, 0x08, 0x9e, 0xd1, 0x04, 0x5f, 0x6b, 0x42, 0x0b, 0x76, 0x2a, 0x2d, 0x77, 0x53, 0x6c, 0x65, 0x6d, 0x8e, 0x25, 0x3c, 0xb6, 0x8b, 0x69, + /* (2^177)P */ 0xb9, 0x49, 0x28, 0xd0, 0xdc, 0x6c, 0x8f, 0x4c, 0xc9, 0x14, 0x8a, 0x38, 0xa3, 0xcb, 0xc4, 0x9d, 0x53, 0xcf, 0xe9, 0xe3, 0xcf, 0xe0, 0xb1, 0xf2, 0x1b, 0x4c, 0x7f, 0x83, 0x2a, 0x7a, 0xe9, 0x8b, 0x3b, 0x86, 0x61, 0x30, 0xe9, 0x99, 0xbd, 0xba, 0x19, 0x6e, 0x65, 0x2a, 0x12, 0x3e, 0x9c, 0xa8, 0xaf, 0xc3, 0xcf, 0xf8, 0x1f, 0x77, 0x86, 0xea, + /* (2^178)P */ 0x30, 0xde, 0xe7, 0xff, 0x54, 0xf7, 0xa2, 0x59, 0xf6, 0x0b, 0xfb, 0x7a, 0xf2, 0x39, 0xf0, 0xdb, 0x39, 0xbc, 0xf0, 0xfa, 0x60, 0xeb, 0x6b, 0x4f, 0x47, 0x17, 0xc8, 0x00, 0x65, 0x6d, 0x25, 0x1c, 0xd0, 0x48, 0x56, 0x53, 0x45, 0x11, 0x30, 0x02, 0x49, 0x20, 0x27, 0xac, 0xf2, 0x4c, 0xac, 0x64, 0x3d, 0x52, 0xb8, 0x89, 0xe0, 0x93, 0x16, 0x0f, + /* (2^179)P */ 0x84, 0x09, 0xba, 0x40, 0xb2, 0x2f, 0xa3, 0xa8, 0xc2, 0xba, 0x46, 0x33, 0x05, 0x9d, 0x62, 0xad, 0xa1, 0x3c, 0x33, 0xef, 0x0d, 0xeb, 0xf0, 0x77, 0x11, 0x5a, 0xb0, 0x21, 0x9c, 0xdf, 0x55, 0x24, 0x25, 0x35, 0x51, 0x61, 0x92, 0xf0, 0xb1, 0xce, 0xf5, 0xd4, 0x7b, 0x6c, 0x21, 0x9d, 0x56, 0x52, 0xf8, 0xa1, 0x4c, 0xe9, 0x27, 0x55, 0xac, 0x91, + /* (2^180)P */ 0x03, 0x3e, 0x30, 0xd2, 0x0a, 0xfa, 0x7d, 0x82, 0x3d, 0x1f, 0x8b, 0xcb, 0xb6, 0x04, 0x5c, 0xcc, 0x8b, 0xda, 0xe2, 0x68, 0x74, 0x08, 0x8c, 0x44, 0x83, 0x57, 0x6d, 0x6f, 0x80, 0xb0, 0x7e, 0xa9, 0x82, 0x91, 0x7b, 0x4c, 0x37, 0x97, 0xd1, 0x63, 0xd1, 0xbd, 0x45, 0xe6, 0x8a, 0x86, 0xd6, 0x89, 0x54, 0xfd, 0xd2, 0xb1, 0xd7, 0x54, 0xad, 0xaf, + /* (2^181)P */ 0x8b, 0x33, 0x62, 0x49, 0x9f, 0x63, 0xf9, 0x87, 0x42, 0x58, 0xbf, 0xb3, 0xe6, 0x68, 0x02, 0x60, 0x5c, 0x76, 0x62, 0xf7, 0x61, 0xd7, 0x36, 0x31, 0xf7, 0x9c, 0xb5, 0xe5, 0x13, 0x6c, 0xea, 0x78, 0xae, 0xcf, 0xde, 0xbf, 0xb6, 0xeb, 0x4f, 0xc8, 0x2a, 0xb4, 0x9a, 0x9f, 0xf3, 0xd1, 0x6a, 0xec, 0x0c, 0xbd, 0x85, 0x98, 0x40, 0x06, 0x1c, 0x2a, + /* (2^182)P */ 0x74, 0x3b, 0xe7, 0x81, 0xd5, 0xae, 0x54, 0x56, 0x03, 0xe8, 0x97, 0x16, 0x76, 0xcf, 0x24, 0x96, 0x96, 0x5b, 0xcc, 0x09, 0xab, 0x23, 0x6f, 0x54, 0xae, 0x8f, 0xe4, 0x12, 0xcb, 0xfd, 0xbc, 0xac, 0x93, 0x45, 0x3d, 0x68, 0x08, 0x22, 0x59, 0xc6, 0xf0, 0x47, 0x19, 0x8c, 0x79, 0x93, 0x1e, 0x0e, 0x30, 0xb0, 0x94, 0xfb, 0x17, 0x1d, 0x5a, 0x12, + /* (2^183)P */ 0x85, 0xff, 0x40, 0x18, 0x85, 0xff, 0x44, 0x37, 0x69, 0x23, 0x4d, 0x34, 0xe1, 0xeb, 0xa3, 0x1b, 0x55, 0x40, 0xc1, 0x64, 0xf4, 0xd4, 0x13, 0x0a, 0x9f, 0xb9, 0x19, 0xfc, 0x88, 0x7d, 0xc0, 0x72, 0xcf, 0x69, 0x2f, 0xd2, 0x0c, 0x82, 0x0f, 0xda, 0x08, 0xba, 0x0f, 0xaa, 0x3b, 0xe9, 0xe5, 0x83, 0x7a, 0x06, 0xe8, 0x1b, 0x38, 0x43, 0xc3, 0x54, + /* (2^184)P */ 0x14, 0xaa, 0xb3, 0x6e, 0xe6, 0x28, 0xee, 0xc5, 0x22, 0x6c, 0x7c, 0xf9, 0xa8, 0x71, 0xcc, 0xfe, 0x68, 0x7e, 0xd3, 0xb8, 0x37, 0x96, 0xca, 0x0b, 0xd9, 0xb6, 0x06, 0xa9, 0xf6, 0x71, 0xe8, 0x31, 0xf7, 0xd8, 0xf1, 0x5d, 0xab, 0xb9, 0xf0, 0x5c, 0x98, 0xcf, 0x22, 0xa2, 0x2a, 0xf6, 0xd0, 0x59, 0xf0, 0x9d, 0xd9, 0x6a, 0x4f, 0x59, 0x57, 0xad, + /* (2^185)P */ 0xd7, 0x2b, 0x3d, 0x38, 0x4c, 0x2e, 0x23, 0x4d, 0x49, 0xa2, 0x62, 0x62, 0xf9, 0x0f, 0xde, 0x08, 0xf3, 0x86, 0x71, 0xb6, 0xc7, 0xf9, 0x85, 0x9c, 0x33, 0xa1, 0xcf, 0x16, 0xaa, 0x60, 0xb9, 0xb7, 0xea, 0xed, 0x01, 0x1c, 0x59, 0xdb, 0x3f, 0x3f, 0x97, 0x2e, 0xf0, 0x09, 0x9f, 0x10, 0x85, 0x5f, 0x53, 0x39, 0xf3, 0x13, 0x40, 0x56, 0x95, 0xf9, + /* (2^186)P */ 0xb4, 0xe3, 0xda, 0xc6, 0x1f, 0x78, 0x8e, 0xac, 0xd4, 0x20, 0x1d, 0xa0, 0xbf, 0x4c, 0x09, 0x16, 0xa7, 0x30, 0xb5, 0x8d, 0x9e, 0xa1, 0x5f, 0x6d, 0x52, 0xf4, 0x71, 0xb6, 0x32, 0x2d, 0x21, 0x51, 0xc6, 0xfc, 0x2f, 0x08, 0xf4, 0x13, 0x6c, 0x55, 0xba, 0x72, 0x81, 0x24, 0x49, 0x0e, 0x4f, 0x06, 0x36, 0x39, 0x6a, 0xc5, 0x81, 0xfc, 0xeb, 0xb2, + /* (2^187)P */ 0x7d, 0x8d, 0xc8, 0x6c, 0xea, 0xb4, 0xb9, 0xe8, 0x40, 0xc9, 0x69, 0xc9, 0x30, 0x05, 0xfd, 0x34, 0x46, 0xfd, 0x94, 0x05, 0x16, 0xf5, 0x4b, 0x13, 0x3d, 0x24, 0x1a, 0xd6, 0x64, 0x2b, 0x9c, 0xe2, 0xa5, 0xd9, 0x98, 0xe0, 0xe8, 0xf4, 0xbc, 0x2c, 0xbd, 0xa2, 0x56, 0xe3, 0x9e, 0x14, 0xdb, 0xbf, 0x05, 0xbf, 0x9a, 0x13, 0x5d, 0xf7, 0x91, 0xa3, + /* (2^188)P */ 0x8b, 0xcb, 0x27, 0xf3, 0x15, 0x26, 0x05, 0x40, 0x0f, 0xa6, 0x15, 0x13, 0x71, 0x95, 0xa2, 0xc6, 0x38, 0x04, 0x67, 0xf8, 0x9a, 0x83, 0x06, 0xaa, 0x25, 0x36, 0x72, 0x01, 0x6f, 0x74, 0x5f, 0xe5, 0x6e, 0x44, 0x99, 0xce, 0x13, 0xbc, 0x82, 0xc2, 0x0d, 0xa4, 0x98, 0x50, 0x38, 0xf3, 0xa2, 0xc5, 0xe5, 0x24, 0x1f, 0x6f, 0x56, 0x3e, 0x07, 0xb2, + /* (2^189)P */ 0xbd, 0x0f, 0x32, 0x60, 0x07, 0xb1, 0xd7, 0x0b, 0x11, 0x07, 0x57, 0x02, 0x89, 0xe8, 0x8b, 0xe8, 0x5a, 0x1f, 0xee, 0x54, 0x6b, 0xff, 0xb3, 0x04, 0x07, 0x57, 0x13, 0x0b, 0x94, 0xa8, 0x4d, 0x81, 0xe2, 0x17, 0x16, 0x45, 0xd4, 0x4b, 0xf7, 0x7e, 0x64, 0x66, 0x20, 0xe8, 0x0b, 0x26, 0xfd, 0xa9, 0x8a, 0x47, 0x52, 0x89, 0x14, 0xd0, 0xd1, 0xa1, + /* (2^190)P */ 0xdc, 0x03, 0xe6, 0x20, 0x44, 0x47, 0x8f, 0x04, 0x16, 0x24, 0x22, 0xc1, 0x55, 0x5c, 0xbe, 0x43, 0xc3, 0x92, 0xc5, 0x54, 0x3d, 0x5d, 0xd1, 0x05, 0x9c, 0xc6, 0x7c, 0xbf, 0x23, 0x84, 0x1a, 0xba, 0x4f, 0x1f, 0xfc, 0xa1, 0xae, 0x1a, 0x64, 0x02, 0x51, 0xf1, 0xcb, 0x7a, 0x20, 0xce, 0xb2, 0x34, 0x3c, 0xca, 0xe0, 0xe4, 0xba, 0x22, 0xd4, 0x7b, + /* (2^191)P */ 0xca, 0xfd, 0xca, 0xd7, 0xde, 0x61, 0xae, 0xf0, 0x79, 0x0c, 0x20, 0xab, 0xbc, 0x6f, 0x4d, 0x61, 0xf0, 0xc7, 0x9c, 0x8d, 0x4b, 0x52, 0xf3, 0xb9, 0x48, 0x63, 0x0b, 0xb6, 0xd2, 0x25, 0x9a, 0x96, 0x72, 0xc1, 0x6b, 0x0c, 0xb5, 0xfb, 0x71, 0xaa, 0xad, 0x47, 0x5b, 0xe7, 0xc0, 0x0a, 0x55, 0xb2, 0xd4, 0x16, 0x2f, 0xb1, 0x01, 0xfd, 0xce, 0x27, + /* (2^192)P */ 0x64, 0x11, 0x4b, 0xab, 0x57, 0x09, 0xc6, 0x49, 0x4a, 0x37, 0xc3, 0x36, 0xc4, 0x7b, 0x81, 0x1f, 0x42, 0xed, 0xbb, 0xe0, 0xa0, 0x8d, 0x51, 0xe6, 0xca, 0x8b, 0xb9, 0xcd, 0x99, 0x2d, 0x91, 0x53, 0xa9, 0x47, 0xcb, 0x32, 0xc7, 0xa4, 0x92, 0xec, 0x46, 0x74, 0x44, 0x6d, 0x71, 0x9f, 0x6d, 0x0c, 0x69, 0xa4, 0xf8, 0xbe, 0x9f, 0x7f, 0xa0, 0xd7, + /* (2^193)P */ 0x5f, 0x33, 0xb6, 0x91, 0xc8, 0xa5, 0x3f, 0x5d, 0x7f, 0x38, 0x6e, 0x74, 0x20, 0x4a, 0xd6, 0x2b, 0x98, 0x2a, 0x41, 0x4b, 0x83, 0x64, 0x0b, 0x92, 0x7a, 0x06, 0x1e, 0xc6, 0x2c, 0xf6, 0xe4, 0x91, 0xe5, 0xb1, 0x2e, 0x6e, 0x4e, 0xa8, 0xc8, 0x14, 0x32, 0x57, 0x44, 0x1c, 0xe4, 0xb9, 0x7f, 0x54, 0x51, 0x08, 0x81, 0xaa, 0x4e, 0xce, 0xa1, 0x5d, + /* (2^194)P */ 0x5c, 0xd5, 0x9b, 0x5e, 0x7c, 0xb5, 0xb1, 0x52, 0x73, 0x00, 0x41, 0x56, 0x79, 0x08, 0x7e, 0x07, 0x28, 0x06, 0xa6, 0xfb, 0x7f, 0x69, 0xbd, 0x7a, 0x3c, 0xae, 0x9f, 0x39, 0xbb, 0x54, 0xa2, 0x79, 0xb9, 0x0e, 0x7f, 0xbb, 0xe0, 0xe6, 0xb7, 0x27, 0x64, 0x38, 0x45, 0xdb, 0x84, 0xe4, 0x61, 0x72, 0x3f, 0xe2, 0x24, 0xfe, 0x7a, 0x31, 0x9a, 0xc9, + /* (2^195)P */ 0xa1, 0xd2, 0xa4, 0xee, 0x24, 0x96, 0xe5, 0x5b, 0x79, 0x78, 0x3c, 0x7b, 0x82, 0x3b, 0x8b, 0x58, 0x0b, 0xa3, 0x63, 0x2d, 0xbc, 0x75, 0x46, 0xe8, 0x83, 0x1a, 0xc0, 0x2a, 0x92, 0x61, 0xa8, 0x75, 0x37, 0x3c, 0xbf, 0x0f, 0xef, 0x8f, 0x6c, 0x97, 0x75, 0x10, 0x05, 0x7a, 0xde, 0x23, 0xe8, 0x2a, 0x35, 0xeb, 0x41, 0x64, 0x7d, 0xcf, 0xe0, 0x52, + /* (2^196)P */ 0x4a, 0xd0, 0x49, 0x93, 0xae, 0xf3, 0x24, 0x8c, 0xe1, 0x09, 0x98, 0x45, 0xd8, 0xb9, 0xfe, 0x8e, 0x8c, 0xa8, 0x2c, 0xc9, 0x9f, 0xce, 0x01, 0xdc, 0x38, 0x11, 0xab, 0x85, 0xb9, 0xe8, 0x00, 0x51, 0xfd, 0x82, 0xe1, 0x9b, 0x4e, 0xfc, 0xb5, 0x2a, 0x0f, 0x8b, 0xda, 0x4e, 0x02, 0xca, 0xcc, 0xe3, 0x91, 0xc4, 0xe0, 0xcf, 0x7b, 0xd6, 0xe6, 0x6a, + /* (2^197)P */ 0xfe, 0x11, 0xd7, 0xaa, 0xe3, 0x0c, 0x52, 0x2e, 0x04, 0xe0, 0xe0, 0x61, 0xc8, 0x05, 0xd7, 0x31, 0x4c, 0xc3, 0x9b, 0x2d, 0xce, 0x59, 0xbe, 0x12, 0xb7, 0x30, 0x21, 0xfc, 0x81, 0xb8, 0x5e, 0x57, 0x73, 0xd0, 0xad, 0x8e, 0x9e, 0xe4, 0xeb, 0xcd, 0xcf, 0xd2, 0x0f, 0x01, 0x35, 0x16, 0xed, 0x7a, 0x43, 0x8e, 0x42, 0xdc, 0xea, 0x4c, 0xa8, 0x7c, + /* (2^198)P */ 0x37, 0x26, 0xcc, 0x76, 0x0b, 0xe5, 0x76, 0xdd, 0x3e, 0x19, 0x3c, 0xc4, 0x6c, 0x7f, 0xd0, 0x03, 0xc1, 0xb8, 0x59, 0x82, 0xca, 0x36, 0xc1, 0xe4, 0xc8, 0xb2, 0x83, 0x69, 0x9c, 0xc5, 0x9d, 0x12, 0x82, 0x1c, 0xea, 0xb2, 0x84, 0x9f, 0xf3, 0x52, 0x6b, 0xbb, 0xd8, 0x81, 0x56, 0x83, 0x04, 0x66, 0x05, 0x22, 0x49, 0x37, 0x93, 0xb1, 0xfd, 0xd5, + /* (2^199)P */ 0xaf, 0x96, 0xbf, 0x03, 0xbe, 0xe6, 0x5d, 0x78, 0x19, 0xba, 0x37, 0x46, 0x0a, 0x2b, 0x52, 0x7c, 0xd8, 0x51, 0x9e, 0x3d, 0x29, 0x42, 0xdb, 0x0e, 0x31, 0x20, 0x94, 0xf8, 0x43, 0x9a, 0x2d, 0x22, 0xd3, 0xe3, 0xa1, 0x79, 0x68, 0xfb, 0x2d, 0x7e, 0xd6, 0x79, 0xda, 0x0b, 0xc6, 0x5b, 0x76, 0x68, 0xf0, 0xfe, 0x72, 0x59, 0xbb, 0xa1, 0x9c, 0x74, + /* (2^200)P */ 0x0a, 0xd9, 0xec, 0xc5, 0xbd, 0xf0, 0xda, 0xcf, 0x82, 0xab, 0x46, 0xc5, 0x32, 0x13, 0xdc, 0x5b, 0xac, 0xc3, 0x53, 0x9a, 0x7f, 0xef, 0xa5, 0x40, 0x5a, 0x1f, 0xc1, 0x12, 0x91, 0x54, 0x83, 0x6a, 0xb0, 0x9a, 0x85, 0x4d, 0xbf, 0x36, 0x8e, 0xd3, 0xa2, 0x2b, 0xe5, 0xd6, 0xc6, 0xe1, 0x58, 0x5b, 0x82, 0x9b, 0xc8, 0xf2, 0x03, 0xba, 0xf5, 0x92, + /* (2^201)P */ 0xfb, 0x21, 0x7e, 0xde, 0xe7, 0xb4, 0xc0, 0x56, 0x86, 0x3a, 0x5b, 0x78, 0xf8, 0xf0, 0xf4, 0xe7, 0x5c, 0x00, 0xd2, 0xd7, 0xd6, 0xf8, 0x75, 0x5e, 0x0f, 0x3e, 0xd1, 0x4b, 0x77, 0xd8, 0xad, 0xb0, 0xc9, 0x8b, 0x59, 0x7d, 0x30, 0x76, 0x64, 0x7a, 0x76, 0xd9, 0x51, 0x69, 0xfc, 0xbd, 0x8e, 0xb5, 0x55, 0xe0, 0xd2, 0x07, 0x15, 0xa9, 0xf7, 0xa4, + /* (2^202)P */ 0xaa, 0x2d, 0x2f, 0x2b, 0x3c, 0x15, 0xdd, 0xcd, 0xe9, 0x28, 0x82, 0x4f, 0xa2, 0xaa, 0x31, 0x48, 0xcc, 0xfa, 0x07, 0x73, 0x8a, 0x34, 0x74, 0x0d, 0xab, 0x1a, 0xca, 0xd2, 0xbf, 0x3a, 0xdb, 0x1a, 0x5f, 0x50, 0x62, 0xf4, 0x6b, 0x83, 0x38, 0x43, 0x96, 0xee, 0x6b, 0x39, 0x1e, 0xf0, 0x17, 0x80, 0x1e, 0x9b, 0xed, 0x2b, 0x2f, 0xcc, 0x65, 0xf7, + /* (2^203)P */ 0x03, 0xb3, 0x23, 0x9c, 0x0d, 0xd1, 0xeb, 0x7e, 0x34, 0x17, 0x8a, 0x4c, 0xde, 0x54, 0x39, 0xc4, 0x11, 0x82, 0xd3, 0xa4, 0x00, 0x32, 0x95, 0x9c, 0xa6, 0x64, 0x76, 0x6e, 0xd6, 0x53, 0x27, 0xb4, 0x6a, 0x14, 0x8c, 0x54, 0xf6, 0x58, 0x9e, 0x22, 0x4a, 0x55, 0x18, 0x77, 0xd0, 0x08, 0x6b, 0x19, 0x8a, 0xb5, 0xe7, 0x19, 0xb8, 0x60, 0x92, 0xb1, + /* (2^204)P */ 0x66, 0xec, 0xf3, 0x12, 0xde, 0x67, 0x7f, 0xd4, 0x5b, 0xf6, 0x70, 0x64, 0x0a, 0xb5, 0xc2, 0xf9, 0xb3, 0x64, 0xab, 0x56, 0x46, 0xc7, 0x93, 0xc2, 0x8b, 0x2d, 0xd0, 0xd6, 0x39, 0x3b, 0x1f, 0xcd, 0xb3, 0xac, 0xcc, 0x2c, 0x27, 0x6a, 0xbc, 0xb3, 0x4b, 0xa8, 0x3c, 0x69, 0x20, 0xe2, 0x18, 0x35, 0x17, 0xe1, 0x8a, 0xd3, 0x11, 0x74, 0xaa, 0x4d, + /* (2^205)P */ 0x96, 0xc4, 0x16, 0x7e, 0xfd, 0xf5, 0xd0, 0x7d, 0x1f, 0x32, 0x1b, 0xdb, 0xa6, 0xfd, 0x51, 0x75, 0x4d, 0xd7, 0x00, 0xe5, 0x7f, 0x58, 0x5b, 0xeb, 0x4b, 0x6a, 0x78, 0xfe, 0xe5, 0xd6, 0x8f, 0x99, 0x17, 0xca, 0x96, 0x45, 0xf7, 0x52, 0xdf, 0x84, 0x06, 0x77, 0xb9, 0x05, 0x63, 0x5d, 0xe9, 0x91, 0xb1, 0x4b, 0x82, 0x5a, 0xdb, 0xd7, 0xca, 0x69, + /* (2^206)P */ 0x02, 0xd3, 0x38, 0x38, 0x87, 0xea, 0xbd, 0x9f, 0x11, 0xca, 0xf3, 0x21, 0xf1, 0x9b, 0x35, 0x97, 0x98, 0xff, 0x8e, 0x6d, 0x3d, 0xd6, 0xb2, 0xfa, 0x68, 0xcb, 0x7e, 0x62, 0x85, 0xbb, 0xc7, 0x5d, 0xee, 0x32, 0x30, 0x2e, 0x71, 0x96, 0x63, 0x43, 0x98, 0xc4, 0xa7, 0xde, 0x60, 0xb2, 0xd9, 0x43, 0x4a, 0xfa, 0x97, 0x2d, 0x5f, 0x21, 0xd4, 0xfe, + /* (2^207)P */ 0x3b, 0x20, 0x29, 0x07, 0x07, 0xb5, 0x78, 0xc3, 0xc7, 0xab, 0x56, 0xba, 0x40, 0xde, 0x1d, 0xcf, 0xc3, 0x00, 0x56, 0x21, 0x0c, 0xc8, 0x42, 0xd9, 0x0e, 0xcd, 0x02, 0x7c, 0x07, 0xb9, 0x11, 0xd7, 0x96, 0xaf, 0xff, 0xad, 0xc5, 0xba, 0x30, 0x6d, 0x82, 0x3a, 0xbf, 0xef, 0x7b, 0xf7, 0x0a, 0x74, 0xbd, 0x31, 0x0c, 0xe4, 0xec, 0x1a, 0xe5, 0xc5, + /* (2^208)P */ 0xcc, 0xf2, 0x28, 0x16, 0x12, 0xbf, 0xef, 0x85, 0xbc, 0xf7, 0xcb, 0x9f, 0xdb, 0xa8, 0xb2, 0x49, 0x53, 0x48, 0xa8, 0x24, 0xa8, 0x68, 0x8d, 0xbb, 0x21, 0x0a, 0x5a, 0xbd, 0xb2, 0x91, 0x61, 0x47, 0xc4, 0x43, 0x08, 0xa6, 0x19, 0xef, 0x8e, 0x88, 0x39, 0xc6, 0x33, 0x30, 0xf3, 0x0e, 0xc5, 0x92, 0x66, 0xd6, 0xfe, 0xc5, 0x12, 0xd9, 0x4c, 0x2d, + /* (2^209)P */ 0x30, 0x34, 0x07, 0xbf, 0x9c, 0x5a, 0x4e, 0x65, 0xf1, 0x39, 0x35, 0x38, 0xae, 0x7b, 0x55, 0xac, 0x6a, 0x92, 0x24, 0x7e, 0x50, 0xd3, 0xba, 0x78, 0x51, 0xfe, 0x4d, 0x32, 0x05, 0x11, 0xf5, 0x52, 0xf1, 0x31, 0x45, 0x39, 0x98, 0x7b, 0x28, 0x56, 0xc3, 0x5d, 0x4f, 0x07, 0x6f, 0x84, 0xb8, 0x1a, 0x58, 0x0b, 0xc4, 0x7c, 0xc4, 0x8d, 0x32, 0x8e, + /* (2^210)P */ 0x7e, 0xaf, 0x98, 0xce, 0xc5, 0x2b, 0x9d, 0xf6, 0xfa, 0x2c, 0xb6, 0x2a, 0x5a, 0x1d, 0xc0, 0x24, 0x8d, 0xa4, 0xce, 0xb1, 0x12, 0x01, 0xf9, 0x79, 0xc6, 0x79, 0x38, 0x0c, 0xd4, 0x07, 0xc9, 0xf7, 0x37, 0xa1, 0x0b, 0xfe, 0x72, 0xec, 0x5d, 0xd6, 0xb0, 0x1c, 0x70, 0xbe, 0x70, 0x01, 0x13, 0xe0, 0x86, 0x95, 0xc7, 0x2e, 0x12, 0x3b, 0xe6, 0xa6, + /* (2^211)P */ 0x24, 0x82, 0x67, 0xe0, 0x14, 0x7b, 0x56, 0x08, 0x38, 0x44, 0xdb, 0xa0, 0x3a, 0x05, 0x47, 0xb2, 0xc0, 0xac, 0xd1, 0xcc, 0x3f, 0x82, 0xb8, 0x8a, 0x88, 0xbc, 0xf5, 0x33, 0xa1, 0x35, 0x0f, 0xf6, 0xe2, 0xef, 0x6c, 0xf7, 0x37, 0x9e, 0xe8, 0x10, 0xca, 0xb0, 0x8e, 0x80, 0x86, 0x00, 0x23, 0xd0, 0x4a, 0x76, 0x9f, 0xf7, 0x2c, 0x52, 0x15, 0x0e, + /* (2^212)P */ 0x5e, 0x49, 0xe1, 0x2c, 0x9a, 0x01, 0x76, 0xa6, 0xb3, 0x07, 0x5b, 0xa4, 0x07, 0xef, 0x1d, 0xc3, 0x6a, 0xbb, 0x64, 0xbe, 0x71, 0x15, 0x6e, 0x32, 0x31, 0x46, 0x9a, 0x9e, 0x8f, 0x45, 0x73, 0xce, 0x0b, 0x94, 0x1a, 0x52, 0x07, 0xf4, 0x50, 0x30, 0x49, 0x53, 0x50, 0xfb, 0x71, 0x1f, 0x5a, 0x03, 0xa9, 0x76, 0xf2, 0x8f, 0x42, 0xff, 0xed, 0xed, + /* (2^213)P */ 0xed, 0x08, 0xdb, 0x91, 0x1c, 0xee, 0xa2, 0xb4, 0x47, 0xa2, 0xfa, 0xcb, 0x03, 0xd1, 0xff, 0x8c, 0xad, 0x64, 0x50, 0x61, 0xcd, 0xfc, 0x88, 0xa0, 0x31, 0x95, 0x30, 0xb9, 0x58, 0xdd, 0xd7, 0x43, 0xe4, 0x46, 0xc2, 0x16, 0xd9, 0x72, 0x4a, 0x56, 0x51, 0x70, 0x85, 0xf1, 0xa1, 0x80, 0x40, 0xd5, 0xba, 0x67, 0x81, 0xda, 0xcd, 0x03, 0xea, 0x51, + /* (2^214)P */ 0x42, 0x50, 0xf0, 0xef, 0x37, 0x61, 0x72, 0x85, 0xe1, 0xf1, 0xff, 0x6f, 0x3d, 0xe8, 0x7b, 0x21, 0x5c, 0xe5, 0x50, 0x03, 0xde, 0x00, 0xc1, 0xf7, 0x3a, 0x55, 0x12, 0x1c, 0x9e, 0x1e, 0xce, 0xd1, 0x2f, 0xaf, 0x05, 0x70, 0x5b, 0x47, 0xf2, 0x04, 0x7a, 0x89, 0xbc, 0x78, 0xa6, 0x65, 0x6c, 0xaa, 0x3c, 0xa2, 0x3c, 0x8b, 0x5c, 0xa9, 0x22, 0x48, + /* (2^215)P */ 0x7e, 0x8c, 0x8f, 0x2f, 0x60, 0xe3, 0x5a, 0x94, 0xd4, 0xce, 0xdd, 0x9d, 0x83, 0x3b, 0x77, 0x78, 0x43, 0x1d, 0xfd, 0x8f, 0xc8, 0xe8, 0x02, 0x90, 0xab, 0xf6, 0xc9, 0xfc, 0xf1, 0x63, 0xaa, 0x5f, 0x42, 0xf1, 0x78, 0x34, 0x64, 0x16, 0x75, 0x9c, 0x7d, 0xd0, 0xe4, 0x74, 0x5a, 0xa8, 0xfb, 0xcb, 0xac, 0x20, 0xa3, 0xc2, 0xa6, 0x20, 0xf8, 0x1b, + /* (2^216)P */ 0x00, 0x4f, 0x1e, 0x56, 0xb5, 0x34, 0xb2, 0x87, 0x31, 0xe5, 0xee, 0x8d, 0xf1, 0x41, 0x67, 0xb7, 0x67, 0x3a, 0x54, 0x86, 0x5c, 0xf0, 0x0b, 0x37, 0x2f, 0x1b, 0x92, 0x5d, 0x58, 0x93, 0xdc, 0xd8, 0x58, 0xcc, 0x9e, 0x67, 0xd0, 0x97, 0x3a, 0xaf, 0x49, 0x39, 0x2d, 0x3b, 0xd8, 0x98, 0xfb, 0x76, 0x6b, 0xe7, 0xaf, 0xc3, 0x45, 0x44, 0x53, 0x94, + /* (2^217)P */ 0x30, 0xbd, 0x90, 0x75, 0xd3, 0xbd, 0x3b, 0x58, 0x27, 0x14, 0x9f, 0x6b, 0xd4, 0x31, 0x99, 0xcd, 0xde, 0x3a, 0x21, 0x1e, 0xb4, 0x02, 0xe4, 0x33, 0x04, 0x02, 0xb0, 0x50, 0x66, 0x68, 0x90, 0xdd, 0x7b, 0x69, 0x31, 0xd9, 0xcf, 0x68, 0x73, 0xf1, 0x60, 0xdd, 0xc8, 0x1d, 0x5d, 0xe3, 0xd6, 0x5b, 0x2a, 0xa4, 0xea, 0xc4, 0x3f, 0x08, 0xcd, 0x9c, + /* (2^218)P */ 0x6b, 0x1a, 0xbf, 0x55, 0xc1, 0x1b, 0x0c, 0x05, 0x09, 0xdf, 0xf5, 0x5e, 0xa3, 0x77, 0x95, 0xe9, 0xdf, 0x19, 0xdd, 0xc7, 0x94, 0xcb, 0x06, 0x73, 0xd0, 0x88, 0x02, 0x33, 0x94, 0xca, 0x7a, 0x2f, 0x8e, 0x3d, 0x72, 0x61, 0x2d, 0x4d, 0xa6, 0x61, 0x1f, 0x32, 0x5e, 0x87, 0x53, 0x36, 0x11, 0x15, 0x20, 0xb3, 0x5a, 0x57, 0x51, 0x93, 0x20, 0xd8, + /* (2^219)P */ 0xb7, 0x56, 0xf4, 0xab, 0x7d, 0x0c, 0xfb, 0x99, 0x1a, 0x30, 0x29, 0xb0, 0x75, 0x2a, 0xf8, 0x53, 0x71, 0x23, 0xbd, 0xa7, 0xd8, 0x0a, 0xe2, 0x27, 0x65, 0xe9, 0x74, 0x26, 0x98, 0x4a, 0x69, 0x19, 0xb2, 0x4d, 0x0a, 0x17, 0x98, 0xb2, 0xa9, 0x57, 0x4e, 0xf6, 0x86, 0xc8, 0x01, 0xa4, 0xc6, 0x98, 0xad, 0x5a, 0x90, 0x2c, 0x05, 0x46, 0x64, 0xb7, + /* (2^220)P */ 0x7b, 0x91, 0xdf, 0xfc, 0xf8, 0x1c, 0x8c, 0x15, 0x9e, 0xf7, 0xd5, 0xa8, 0xe8, 0xe7, 0xe3, 0xa3, 0xb0, 0x04, 0x74, 0xfa, 0x78, 0xfb, 0x26, 0xbf, 0x67, 0x42, 0xf9, 0x8c, 0x9b, 0xb4, 0x69, 0x5b, 0x02, 0x13, 0x6d, 0x09, 0x6c, 0xd6, 0x99, 0x61, 0x7b, 0x89, 0x4a, 0x67, 0x75, 0xa3, 0x98, 0x13, 0x23, 0x1d, 0x18, 0x24, 0x0e, 0xef, 0x41, 0x79, + /* (2^221)P */ 0x86, 0x33, 0xab, 0x08, 0xcb, 0xbf, 0x1e, 0x76, 0x3c, 0x0b, 0xbd, 0x30, 0xdb, 0xe9, 0xa3, 0x35, 0x87, 0x1b, 0xe9, 0x07, 0x00, 0x66, 0x7f, 0x3b, 0x35, 0x0c, 0x8a, 0x3f, 0x61, 0xbc, 0xe0, 0xae, 0xf6, 0xcc, 0x54, 0xe1, 0x72, 0x36, 0x2d, 0xee, 0x93, 0x24, 0xf8, 0xd7, 0xc5, 0xf9, 0xcb, 0xb0, 0xe5, 0x88, 0x0d, 0x23, 0x4b, 0x76, 0x15, 0xa2, + /* (2^222)P */ 0x37, 0xdb, 0x83, 0xd5, 0x6d, 0x06, 0x24, 0x37, 0x1b, 0x15, 0x85, 0x15, 0xe2, 0xc0, 0x4e, 0x02, 0xa9, 0x6d, 0x0a, 0x3a, 0x94, 0x4a, 0x6f, 0x49, 0x00, 0x01, 0x72, 0xbb, 0x60, 0x14, 0x35, 0xae, 0xb4, 0xc6, 0x01, 0x0a, 0x00, 0x9e, 0xc3, 0x58, 0xc5, 0xd1, 0x5e, 0x30, 0x73, 0x96, 0x24, 0x85, 0x9d, 0xf0, 0xf9, 0xec, 0x09, 0xd3, 0xe7, 0x70, + /* (2^223)P */ 0xf3, 0xbd, 0x96, 0x87, 0xe9, 0x71, 0xbd, 0xd6, 0xa2, 0x45, 0xeb, 0x0a, 0xcd, 0x2c, 0xf1, 0x72, 0xa6, 0x31, 0xa9, 0x6f, 0x09, 0xa1, 0x5e, 0xdd, 0xc8, 0x8d, 0x0d, 0xbc, 0x5a, 0x8d, 0xb1, 0x2c, 0x9a, 0xcc, 0x37, 0x74, 0xc2, 0xa9, 0x4e, 0xd6, 0xc0, 0x3c, 0xa0, 0x23, 0xb0, 0xa0, 0x77, 0x14, 0x80, 0x45, 0x71, 0x6a, 0x2d, 0x41, 0xc3, 0x82, + /* (2^224)P */ 0x37, 0x44, 0xec, 0x8a, 0x3e, 0xc1, 0x0c, 0xa9, 0x12, 0x9c, 0x08, 0x88, 0xcb, 0xd9, 0xf8, 0xba, 0x00, 0xd6, 0xc3, 0xdf, 0xef, 0x7a, 0x44, 0x7e, 0x25, 0x69, 0xc9, 0xc1, 0x46, 0xe5, 0x20, 0x9e, 0xcc, 0x0b, 0x05, 0x3e, 0xf4, 0x78, 0x43, 0x0c, 0xa6, 0x2f, 0xc1, 0xfa, 0x70, 0xb2, 0x3c, 0x31, 0x7a, 0x63, 0x58, 0xab, 0x17, 0xcf, 0x4c, 0x4f, + /* (2^225)P */ 0x2b, 0x08, 0x31, 0x59, 0x75, 0x8b, 0xec, 0x0a, 0xa9, 0x79, 0x70, 0xdd, 0xf1, 0x11, 0xc3, 0x11, 0x1f, 0xab, 0x37, 0xaa, 0x26, 0xea, 0x53, 0xc4, 0x79, 0xa7, 0x91, 0x00, 0xaa, 0x08, 0x42, 0xeb, 0x8b, 0x8b, 0xe8, 0xc3, 0x2f, 0xb8, 0x78, 0x90, 0x38, 0x0e, 0x8a, 0x42, 0x0c, 0x0f, 0xbf, 0x3e, 0xf8, 0xd8, 0x07, 0xcf, 0x6a, 0x34, 0xc9, 0xfa, + /* (2^226)P */ 0x11, 0xe0, 0x76, 0x4d, 0x23, 0xc5, 0xa6, 0xcc, 0x9f, 0x9a, 0x2a, 0xde, 0x3a, 0xb5, 0x92, 0x39, 0x19, 0x8a, 0xf1, 0x8d, 0xf9, 0x4d, 0xc9, 0xb4, 0x39, 0x9f, 0x57, 0xd8, 0x72, 0xab, 0x1d, 0x61, 0x6a, 0xb2, 0xff, 0x52, 0xba, 0x54, 0x0e, 0xfb, 0x83, 0x30, 0x8a, 0xf7, 0x3b, 0xf4, 0xd8, 0xae, 0x1a, 0x94, 0x3a, 0xec, 0x63, 0xfe, 0x6e, 0x7c, + /* (2^227)P */ 0xdc, 0x70, 0x8e, 0x55, 0x44, 0xbf, 0xd2, 0x6a, 0xa0, 0x14, 0x61, 0x89, 0xd5, 0x55, 0x45, 0x3c, 0xf6, 0x40, 0x0d, 0x83, 0x85, 0x44, 0xb4, 0x62, 0x56, 0xfe, 0x60, 0xd7, 0x07, 0x1d, 0x47, 0x30, 0x3b, 0x73, 0xa4, 0xb5, 0xb7, 0xea, 0xac, 0xda, 0xf1, 0x17, 0xaa, 0x60, 0xdf, 0xe9, 0x84, 0xda, 0x31, 0x32, 0x61, 0xbf, 0xd0, 0x7e, 0x8a, 0x02, + /* (2^228)P */ 0xb9, 0x51, 0xb3, 0x89, 0x21, 0x5d, 0xa2, 0xfe, 0x79, 0x2a, 0xb3, 0x2a, 0x3b, 0xe6, 0x6f, 0x2b, 0x22, 0x03, 0xea, 0x7b, 0x1f, 0xaf, 0x85, 0xc3, 0x38, 0x55, 0x5b, 0x8e, 0xb4, 0xaa, 0x77, 0xfe, 0x03, 0x6e, 0xda, 0x91, 0x24, 0x0c, 0x48, 0x39, 0x27, 0x43, 0x16, 0xd2, 0x0a, 0x0d, 0x43, 0xa3, 0x0e, 0xca, 0x45, 0xd1, 0x7f, 0xf5, 0xd3, 0x16, + /* (2^229)P */ 0x3d, 0x32, 0x9b, 0x38, 0xf8, 0x06, 0x93, 0x78, 0x5b, 0x50, 0x2b, 0x06, 0xd8, 0x66, 0xfe, 0xab, 0x9b, 0x58, 0xc7, 0xd1, 0x4d, 0xd5, 0xf8, 0x3b, 0x10, 0x7e, 0x85, 0xde, 0x58, 0x4e, 0xdf, 0x53, 0xd9, 0x58, 0xe0, 0x15, 0x81, 0x9f, 0x1a, 0x78, 0xfc, 0x9f, 0x10, 0xc2, 0x23, 0xd6, 0x78, 0xd1, 0x9d, 0xd2, 0xd5, 0x1c, 0x53, 0xe2, 0xc9, 0x76, + /* (2^230)P */ 0x98, 0x1e, 0x38, 0x7b, 0x71, 0x18, 0x4b, 0x15, 0xaf, 0xa1, 0xa6, 0x98, 0xcb, 0x26, 0xa3, 0xc8, 0x07, 0x46, 0xda, 0x3b, 0x70, 0x65, 0xec, 0x7a, 0x2b, 0x34, 0x94, 0xa8, 0xb6, 0x14, 0xf8, 0x1a, 0xce, 0xf7, 0xc8, 0x60, 0xf3, 0x88, 0xf4, 0x33, 0x60, 0x7b, 0xd1, 0x02, 0xe7, 0xda, 0x00, 0x4a, 0xea, 0xd2, 0xfd, 0x88, 0xd2, 0x99, 0x28, 0xf3, + /* (2^231)P */ 0x28, 0x24, 0x1d, 0x26, 0xc2, 0xeb, 0x8b, 0x3b, 0xb4, 0x6b, 0xbe, 0x6b, 0x77, 0xff, 0xf3, 0x21, 0x3b, 0x26, 0x6a, 0x8c, 0x8e, 0x2a, 0x44, 0xa8, 0x01, 0x2b, 0x71, 0xea, 0x64, 0x30, 0xfd, 0xfd, 0x95, 0xcb, 0x39, 0x38, 0x48, 0xfa, 0x96, 0x97, 0x8c, 0x2f, 0x33, 0xca, 0x03, 0xe6, 0xd7, 0x94, 0x55, 0x6c, 0xc3, 0xb3, 0xa8, 0xf7, 0xae, 0x8c, + /* (2^232)P */ 0xea, 0x62, 0x8a, 0xb4, 0xeb, 0x74, 0xf7, 0xb8, 0xae, 0xc5, 0x20, 0x71, 0x06, 0xd6, 0x7c, 0x62, 0x9b, 0x69, 0x74, 0xef, 0xa7, 0x6d, 0xd6, 0x8c, 0x37, 0xb9, 0xbf, 0xcf, 0xeb, 0xe4, 0x2f, 0x04, 0x02, 0x21, 0x7d, 0x75, 0x6b, 0x92, 0x48, 0xf8, 0x70, 0xad, 0x69, 0xe2, 0xea, 0x0e, 0x88, 0x67, 0x72, 0xcc, 0x2d, 0x10, 0xce, 0x2d, 0xcf, 0x65, + /* (2^233)P */ 0x49, 0xf3, 0x57, 0x64, 0xe5, 0x5c, 0xc5, 0x65, 0x49, 0x97, 0xc4, 0x8a, 0xcc, 0xa9, 0xca, 0x94, 0x7b, 0x86, 0x88, 0xb6, 0x51, 0x27, 0x69, 0xa5, 0x0f, 0x8b, 0x06, 0x59, 0xa0, 0x94, 0xef, 0x63, 0x1a, 0x01, 0x9e, 0x4f, 0xd2, 0x5a, 0x93, 0xc0, 0x7c, 0xe6, 0x61, 0x77, 0xb6, 0xf5, 0x40, 0xd9, 0x98, 0x43, 0x5b, 0x56, 0x68, 0xe9, 0x37, 0x8f, + /* (2^234)P */ 0xee, 0x87, 0xd2, 0x05, 0x1b, 0x39, 0x89, 0x10, 0x07, 0x6d, 0xe8, 0xfd, 0x8b, 0x4d, 0xb2, 0xa7, 0x7b, 0x1e, 0xa0, 0x6c, 0x0d, 0x3d, 0x3d, 0x49, 0xba, 0x61, 0x36, 0x1f, 0xc2, 0x84, 0x4a, 0xcc, 0x87, 0xa9, 0x1b, 0x23, 0x04, 0xe2, 0x3e, 0x97, 0xe1, 0xdb, 0xd5, 0x5a, 0xe8, 0x41, 0x6b, 0xe5, 0x5a, 0xa1, 0x99, 0xe5, 0x7b, 0xa7, 0xe0, 0x3b, + /* (2^235)P */ 0xea, 0xa3, 0x6a, 0xdd, 0x77, 0x7f, 0x77, 0x41, 0xc5, 0x6a, 0xe4, 0xaf, 0x11, 0x5f, 0x88, 0xa5, 0x10, 0xee, 0xd0, 0x8c, 0x0c, 0xb4, 0xa5, 0x2a, 0xd0, 0xd8, 0x1d, 0x47, 0x06, 0xc0, 0xd5, 0xce, 0x51, 0x54, 0x9b, 0x2b, 0xe6, 0x2f, 0xe7, 0xe7, 0x31, 0x5f, 0x5c, 0x23, 0x81, 0x3e, 0x03, 0x93, 0xaa, 0x2d, 0x71, 0x84, 0xa0, 0x89, 0x32, 0xa6, + /* (2^236)P */ 0x55, 0xa3, 0x13, 0x92, 0x4e, 0x93, 0x7d, 0xec, 0xca, 0x57, 0xfb, 0x37, 0xae, 0xd2, 0x18, 0x2e, 0x54, 0x05, 0x6c, 0xd1, 0x28, 0xca, 0x90, 0x40, 0x82, 0x2e, 0x79, 0xc6, 0x5a, 0xc7, 0xdd, 0x84, 0x93, 0xdf, 0x15, 0xb8, 0x1f, 0xb1, 0xf9, 0xaf, 0x2c, 0xe5, 0x32, 0xcd, 0xc2, 0x99, 0x6d, 0xac, 0x85, 0x5c, 0x63, 0xd3, 0xe2, 0xff, 0x24, 0xda, + /* (2^237)P */ 0x2d, 0x8d, 0xfd, 0x65, 0xcc, 0xe5, 0x02, 0xa0, 0xe5, 0xb9, 0xec, 0x59, 0x09, 0x50, 0x27, 0xb7, 0x3d, 0x2a, 0x79, 0xb2, 0x76, 0x5d, 0x64, 0x95, 0xf8, 0xc5, 0xaf, 0x8a, 0x62, 0x11, 0x5c, 0x56, 0x1c, 0x05, 0x64, 0x9e, 0x5e, 0xbd, 0x54, 0x04, 0xe6, 0x9e, 0xab, 0xe6, 0x22, 0x7e, 0x42, 0x54, 0xb5, 0xa5, 0xd0, 0x8d, 0x28, 0x6b, 0x0f, 0x0b, + /* (2^238)P */ 0x2d, 0xb2, 0x8c, 0x59, 0x10, 0x37, 0x84, 0x3b, 0x9b, 0x65, 0x1b, 0x0f, 0x10, 0xf9, 0xea, 0x60, 0x1b, 0x02, 0xf5, 0xee, 0x8b, 0xe6, 0x32, 0x7d, 0x10, 0x7f, 0x5f, 0x8c, 0x72, 0x09, 0x4e, 0x1f, 0x29, 0xff, 0x65, 0xcb, 0x3e, 0x3a, 0xd2, 0x96, 0x50, 0x1e, 0xea, 0x64, 0x99, 0xb5, 0x4c, 0x7a, 0x69, 0xb8, 0x95, 0xae, 0x48, 0xc0, 0x7c, 0xb1, + /* (2^239)P */ 0xcd, 0x7c, 0x4f, 0x3e, 0xea, 0xf3, 0x90, 0xcb, 0x12, 0x76, 0xd1, 0x17, 0xdc, 0x0d, 0x13, 0x0f, 0xfd, 0x4d, 0xb5, 0x1f, 0xe4, 0xdd, 0xf2, 0x4d, 0x58, 0xea, 0xa5, 0x66, 0x92, 0xcf, 0xe5, 0x54, 0xea, 0x9b, 0x35, 0x83, 0x1a, 0x44, 0x8e, 0x62, 0x73, 0x45, 0x98, 0xa3, 0x89, 0x95, 0x52, 0x93, 0x1a, 0x8d, 0x63, 0x0f, 0xc2, 0x57, 0x3c, 0xb1, + /* (2^240)P */ 0x72, 0xb4, 0xdf, 0x51, 0xb7, 0xf6, 0x52, 0xa2, 0x14, 0x56, 0xe5, 0x0a, 0x2e, 0x75, 0x81, 0x02, 0xee, 0x93, 0x48, 0x0a, 0x92, 0x4e, 0x0c, 0x0f, 0xdf, 0x09, 0x89, 0x99, 0xf6, 0xf9, 0x22, 0xa2, 0x32, 0xf8, 0xb0, 0x76, 0x0c, 0xb2, 0x4d, 0x6e, 0xbe, 0x83, 0x35, 0x61, 0x44, 0xd2, 0x58, 0xc7, 0xdd, 0x14, 0xcf, 0xc3, 0x4b, 0x7c, 0x07, 0xee, + /* (2^241)P */ 0x8b, 0x03, 0xee, 0xcb, 0xa7, 0x2e, 0x28, 0xbd, 0x97, 0xd1, 0x4c, 0x2b, 0xd1, 0x92, 0x67, 0x5b, 0x5a, 0x12, 0xbf, 0x29, 0x17, 0xfc, 0x50, 0x09, 0x74, 0x76, 0xa2, 0xd4, 0x82, 0xfd, 0x2c, 0x0c, 0x90, 0xf7, 0xe7, 0xe5, 0x9a, 0x2c, 0x16, 0x40, 0xb9, 0x6c, 0xd9, 0xe0, 0x22, 0x9e, 0xf8, 0xdd, 0x73, 0xe4, 0x7b, 0x9e, 0xbe, 0x4f, 0x66, 0x22, + /* (2^242)P */ 0xa4, 0x10, 0xbe, 0xb8, 0x83, 0x3a, 0x77, 0x8e, 0xea, 0x0a, 0xc4, 0x97, 0x3e, 0xb6, 0x6c, 0x81, 0xd7, 0x65, 0xd9, 0xf7, 0xae, 0xe6, 0xbe, 0xab, 0x59, 0x81, 0x29, 0x4b, 0xff, 0xe1, 0x0f, 0xc3, 0x2b, 0xad, 0x4b, 0xef, 0xc4, 0x50, 0x9f, 0x88, 0x31, 0xf2, 0xde, 0x80, 0xd6, 0xf4, 0x20, 0x9c, 0x77, 0x9b, 0xbe, 0xbe, 0x08, 0xf5, 0xf0, 0x95, + /* (2^243)P */ 0x0e, 0x7c, 0x7b, 0x7c, 0xb3, 0xd8, 0x83, 0xfc, 0x8c, 0x75, 0x51, 0x74, 0x1b, 0xe1, 0x6d, 0x11, 0x05, 0x46, 0x24, 0x0d, 0xa4, 0x2b, 0x32, 0xfd, 0x2c, 0x4e, 0x21, 0xdf, 0x39, 0x6b, 0x96, 0xfc, 0xff, 0x92, 0xfc, 0x35, 0x0d, 0x9a, 0x4b, 0xc0, 0x70, 0x46, 0x32, 0x7d, 0xc0, 0xc4, 0x04, 0xe0, 0x2d, 0x83, 0xa7, 0x00, 0xc7, 0xcb, 0xb4, 0x8f, + /* (2^244)P */ 0xa9, 0x5a, 0x7f, 0x0e, 0xdd, 0x2c, 0x85, 0xaa, 0x4d, 0xac, 0xde, 0xb3, 0xb6, 0xaf, 0xe6, 0xd1, 0x06, 0x7b, 0x2c, 0xa4, 0x01, 0x19, 0x22, 0x7d, 0x78, 0xf0, 0x3a, 0xea, 0x89, 0xfe, 0x21, 0x61, 0x6d, 0xb8, 0xfe, 0xa5, 0x2a, 0xab, 0x0d, 0x7b, 0x51, 0x39, 0xb6, 0xde, 0xbc, 0xf0, 0xc5, 0x48, 0xd7, 0x09, 0x82, 0x6e, 0x66, 0x75, 0xc5, 0xcd, + /* (2^245)P */ 0xee, 0xdf, 0x2b, 0x6c, 0xa8, 0xde, 0x61, 0xe1, 0x27, 0xfa, 0x2a, 0x0f, 0x68, 0xe7, 0x7a, 0x9b, 0x13, 0xe9, 0x56, 0xd2, 0x1c, 0x3d, 0x2f, 0x3c, 0x7a, 0xf6, 0x6f, 0x45, 0xee, 0xe8, 0xf4, 0xa0, 0xa6, 0xe8, 0xa5, 0x27, 0xee, 0xf2, 0x85, 0xa9, 0xd5, 0x0e, 0xa9, 0x26, 0x60, 0xfe, 0xee, 0xc7, 0x59, 0x99, 0x5e, 0xa3, 0xdf, 0x23, 0x36, 0xd5, + /* (2^246)P */ 0x15, 0x66, 0x6f, 0xd5, 0x78, 0xa4, 0x0a, 0xf7, 0xb1, 0xe8, 0x75, 0x6b, 0x48, 0x7d, 0xa6, 0x4d, 0x3d, 0x36, 0x9b, 0xc7, 0xcc, 0x68, 0x9a, 0xfe, 0x2f, 0x39, 0x2a, 0x51, 0x31, 0x39, 0x7d, 0x73, 0x6f, 0xc8, 0x74, 0x72, 0x6f, 0x6e, 0xda, 0x5f, 0xad, 0x48, 0xc8, 0x40, 0xe1, 0x06, 0x01, 0x36, 0xa1, 0x88, 0xc8, 0x99, 0x9c, 0xd1, 0x11, 0x8f, + /* (2^247)P */ 0xab, 0xc5, 0xcb, 0xcf, 0xbd, 0x73, 0x21, 0xd0, 0x82, 0xb1, 0x2e, 0x2d, 0xd4, 0x36, 0x1b, 0xed, 0xa9, 0x8a, 0x26, 0x79, 0xc4, 0x17, 0xae, 0xe5, 0x09, 0x0a, 0x0c, 0xa4, 0x21, 0xa0, 0x6e, 0xdd, 0x62, 0x8e, 0x44, 0x62, 0xcc, 0x50, 0xff, 0x93, 0xb3, 0x9a, 0x72, 0x8c, 0x3f, 0xa1, 0xa6, 0x4d, 0x87, 0xd5, 0x1c, 0x5a, 0xc0, 0x0b, 0x1a, 0xd6, + /* (2^248)P */ 0x67, 0x36, 0x6a, 0x1f, 0x96, 0xe5, 0x80, 0x20, 0xa9, 0xe8, 0x0b, 0x0e, 0x21, 0x29, 0x3f, 0xc8, 0x0a, 0x6d, 0x27, 0x47, 0xca, 0xd9, 0x05, 0x55, 0xbf, 0x11, 0xcf, 0x31, 0x7a, 0x37, 0xc7, 0x90, 0xa9, 0xf4, 0x07, 0x5e, 0xd5, 0xc3, 0x92, 0xaa, 0x95, 0xc8, 0x23, 0x2a, 0x53, 0x45, 0xe3, 0x3a, 0x24, 0xe9, 0x67, 0x97, 0x3a, 0x82, 0xf9, 0xa6, + /* (2^249)P */ 0x92, 0x9e, 0x6d, 0x82, 0x67, 0xe9, 0xf9, 0x17, 0x96, 0x2c, 0xa7, 0xd3, 0x89, 0xf9, 0xdb, 0xd8, 0x20, 0xc6, 0x2e, 0xec, 0x4a, 0x76, 0x64, 0xbf, 0x27, 0x40, 0xe2, 0xb4, 0xdf, 0x1f, 0xa0, 0xef, 0x07, 0x80, 0xfb, 0x8e, 0x12, 0xf8, 0xb8, 0xe1, 0xc6, 0xdf, 0x7c, 0x69, 0x35, 0x5a, 0xe1, 0x8e, 0x5d, 0x69, 0x84, 0x56, 0xb6, 0x31, 0x1c, 0x0b, + /* (2^250)P */ 0xd6, 0x94, 0x5c, 0xef, 0xbb, 0x46, 0x45, 0x44, 0x5b, 0xa1, 0xae, 0x03, 0x65, 0xdd, 0xb5, 0x66, 0x88, 0x35, 0x29, 0x95, 0x16, 0x54, 0xa6, 0xf5, 0xc9, 0x78, 0x34, 0xe6, 0x0f, 0xc4, 0x2b, 0x5b, 0x79, 0x51, 0x68, 0x48, 0x3a, 0x26, 0x87, 0x05, 0x70, 0xaf, 0x8b, 0xa6, 0xc7, 0x2e, 0xb3, 0xa9, 0x10, 0x01, 0xb0, 0xb9, 0x31, 0xfd, 0xdc, 0x80, + /* (2^251)P */ 0x25, 0xf2, 0xad, 0xd6, 0x75, 0xa3, 0x04, 0x05, 0x64, 0x8a, 0x97, 0x60, 0x27, 0x2a, 0xe5, 0x6d, 0xb0, 0x73, 0xf4, 0x07, 0x2a, 0x9d, 0xe9, 0x46, 0xb4, 0x1c, 0x51, 0xf8, 0x63, 0x98, 0x7e, 0xe5, 0x13, 0x51, 0xed, 0x98, 0x65, 0x98, 0x4f, 0x8f, 0xe7, 0x7e, 0x72, 0xd7, 0x64, 0x11, 0x2f, 0xcd, 0x12, 0xf8, 0xc4, 0x63, 0x52, 0x0f, 0x7f, 0xc4, + /* (2^252)P */ 0x5c, 0xd9, 0x85, 0x63, 0xc7, 0x8a, 0x65, 0x9a, 0x25, 0x83, 0x31, 0x73, 0x49, 0xf0, 0x93, 0x96, 0x70, 0x67, 0x6d, 0xb1, 0xff, 0x95, 0x54, 0xe4, 0xf8, 0x15, 0x6c, 0x5f, 0xbd, 0xf6, 0x0f, 0x38, 0x7b, 0x68, 0x7d, 0xd9, 0x3d, 0xf0, 0xa9, 0xa0, 0xe4, 0xd1, 0xb6, 0x34, 0x6d, 0x14, 0x16, 0xc2, 0x4c, 0x30, 0x0e, 0x67, 0xd3, 0xbe, 0x2e, 0xc0, + /* (2^253)P */ 0x06, 0x6b, 0x52, 0xc8, 0x14, 0xcd, 0xae, 0x03, 0x93, 0xea, 0xc1, 0xf2, 0xf6, 0x8b, 0xc5, 0xb6, 0xdc, 0x82, 0x42, 0x29, 0x94, 0xe0, 0x25, 0x6c, 0x3f, 0x9f, 0x5d, 0xe4, 0x96, 0xf6, 0x8e, 0x3f, 0xf9, 0x72, 0xc4, 0x77, 0x60, 0x8b, 0xa4, 0xf9, 0xa8, 0xc3, 0x0a, 0x81, 0xb1, 0x97, 0x70, 0x18, 0xab, 0xea, 0x37, 0x8a, 0x08, 0xc7, 0xe2, 0x95, + /* (2^254)P */ 0x94, 0x49, 0xd9, 0x5f, 0x76, 0x72, 0x82, 0xad, 0x2d, 0x50, 0x1a, 0x7a, 0x5b, 0xe6, 0x95, 0x1e, 0x95, 0x65, 0x87, 0x1c, 0x52, 0xd7, 0x44, 0xe6, 0x9b, 0x56, 0xcd, 0x6f, 0x05, 0xff, 0x67, 0xc5, 0xdb, 0xa2, 0xac, 0xe4, 0xa2, 0x28, 0x63, 0x5f, 0xfb, 0x0c, 0x3b, 0xf1, 0x87, 0xc3, 0x36, 0x78, 0x3f, 0x77, 0xfa, 0x50, 0x85, 0xf9, 0xd7, 0x82, + /* (2^255)P */ 0x64, 0xc0, 0xe0, 0xd8, 0x2d, 0xed, 0xcb, 0x6a, 0xfd, 0xcd, 0xbc, 0x7e, 0x9f, 0xc8, 0x85, 0xe9, 0xc1, 0x7c, 0x0f, 0xe5, 0x18, 0xea, 0xd4, 0x51, 0xad, 0x59, 0x13, 0x75, 0xd9, 0x3d, 0xd4, 0x8a, 0xb2, 0xbe, 0x78, 0x52, 0x2b, 0x52, 0x94, 0x37, 0x41, 0xd6, 0xb4, 0xb6, 0x45, 0x20, 0x76, 0xe0, 0x1f, 0x31, 0xdb, 0xb1, 0xa1, 0x43, 0xf0, 0x18, + /* (2^256)P */ 0x74, 0xa9, 0xa4, 0xa9, 0xdd, 0x6e, 0x3e, 0x68, 0xe5, 0xc3, 0x2e, 0x92, 0x17, 0xa4, 0xcb, 0x80, 0xb1, 0xf0, 0x06, 0x93, 0xef, 0xe6, 0x00, 0xe6, 0x3b, 0xb1, 0x32, 0x65, 0x7b, 0x83, 0xb6, 0x8a, 0x49, 0x1b, 0x14, 0x89, 0xee, 0xba, 0xf5, 0x6a, 0x8d, 0x36, 0xef, 0xb0, 0xd8, 0xb2, 0x16, 0x99, 0x17, 0x35, 0x02, 0x16, 0x55, 0x58, 0xdd, 0x82, + /* (2^257)P */ 0x36, 0x95, 0xe8, 0xf4, 0x36, 0x42, 0xbb, 0xc5, 0x3e, 0xfa, 0x30, 0x84, 0x9e, 0x59, 0xfd, 0xd2, 0x95, 0x42, 0xf8, 0x64, 0xd9, 0xb9, 0x0e, 0x9f, 0xfa, 0xd0, 0x7b, 0x20, 0x31, 0x77, 0x48, 0x29, 0x4d, 0xd0, 0x32, 0x57, 0x56, 0x30, 0xa6, 0x17, 0x53, 0x04, 0xbf, 0x08, 0x28, 0xec, 0xb8, 0x46, 0xc1, 0x03, 0x89, 0xdc, 0xed, 0xa0, 0x35, 0x53, + /* (2^258)P */ 0xc5, 0x7f, 0x9e, 0xd8, 0xc5, 0xba, 0x5f, 0x68, 0xc8, 0x23, 0x75, 0xea, 0x0d, 0xd9, 0x5a, 0xfd, 0x61, 0x1a, 0xa3, 0x2e, 0x45, 0x63, 0x14, 0x55, 0x86, 0x21, 0x29, 0xbe, 0xef, 0x5e, 0x50, 0xe5, 0x18, 0x59, 0xe7, 0xe3, 0xce, 0x4d, 0x8c, 0x15, 0x8f, 0x89, 0x66, 0x44, 0x52, 0x3d, 0xfa, 0xc7, 0x9a, 0x59, 0x90, 0x8e, 0xc0, 0x06, 0x3f, 0xc9, + /* (2^259)P */ 0x8e, 0x04, 0xd9, 0x16, 0x50, 0x1d, 0x8c, 0x9f, 0xd5, 0xe3, 0xce, 0xfd, 0x47, 0x04, 0x27, 0x4d, 0xc2, 0xfa, 0x71, 0xd9, 0x0b, 0xb8, 0x65, 0xf4, 0x11, 0xf3, 0x08, 0xee, 0x81, 0xc8, 0x67, 0x99, 0x0b, 0x8d, 0x77, 0xa3, 0x4f, 0xb5, 0x9b, 0xdb, 0x26, 0xf1, 0x97, 0xeb, 0x04, 0x54, 0xeb, 0x80, 0x08, 0x1d, 0x1d, 0xf6, 0x3d, 0x1f, 0x5a, 0xb8, + /* (2^260)P */ 0xb7, 0x9c, 0x9d, 0xee, 0xb9, 0x5c, 0xad, 0x0d, 0x9e, 0xfd, 0x60, 0x3c, 0x27, 0x4e, 0xa2, 0x95, 0xfb, 0x64, 0x7e, 0x79, 0x64, 0x87, 0x10, 0xb4, 0x73, 0xe0, 0x9d, 0x46, 0x4d, 0x3d, 0xee, 0x83, 0xe4, 0x16, 0x88, 0x97, 0xe6, 0x4d, 0xba, 0x70, 0xb6, 0x96, 0x7b, 0xff, 0x4b, 0xc8, 0xcf, 0x72, 0x83, 0x3e, 0x5b, 0x24, 0x2e, 0x57, 0xf1, 0x82, + /* (2^261)P */ 0x30, 0x71, 0x40, 0x51, 0x4f, 0x44, 0xbb, 0xc7, 0xf0, 0x54, 0x6e, 0x9d, 0xeb, 0x15, 0xad, 0xf8, 0x61, 0x43, 0x5a, 0xef, 0xc0, 0xb1, 0x57, 0xae, 0x03, 0x40, 0xe8, 0x68, 0x6f, 0x03, 0x20, 0x4f, 0x8a, 0x51, 0x2a, 0x9e, 0xd2, 0x45, 0xaf, 0xb4, 0xf5, 0xd4, 0x95, 0x7f, 0x3d, 0x3d, 0xb7, 0xb6, 0x28, 0xc5, 0x08, 0x8b, 0x44, 0xd6, 0x3f, 0xe7, + /* (2^262)P */ 0xa9, 0x52, 0x04, 0x67, 0xcb, 0x20, 0x63, 0xf8, 0x18, 0x01, 0x44, 0x21, 0x6a, 0x8a, 0x83, 0x48, 0xd4, 0xaf, 0x23, 0x0f, 0x35, 0x8d, 0xe5, 0x5a, 0xc4, 0x7c, 0x55, 0x46, 0x19, 0x5f, 0x35, 0xe0, 0x5d, 0x97, 0x4c, 0x2d, 0x04, 0xed, 0x59, 0xd4, 0xb0, 0xb2, 0xc6, 0xe3, 0x51, 0xe1, 0x38, 0xc6, 0x30, 0x49, 0x8f, 0xae, 0x61, 0x64, 0xce, 0xa8, + /* (2^263)P */ 0x9b, 0x64, 0x83, 0x3c, 0xd3, 0xdf, 0xb9, 0x27, 0xe7, 0x5b, 0x7f, 0xeb, 0xf3, 0x26, 0xcf, 0xb1, 0x8f, 0xaf, 0x26, 0xc8, 0x48, 0xce, 0xa1, 0xac, 0x7d, 0x10, 0x34, 0x28, 0xe1, 0x1f, 0x69, 0x03, 0x64, 0x77, 0x61, 0xdd, 0x4a, 0x9b, 0x18, 0x47, 0xf8, 0xca, 0x63, 0xc9, 0x03, 0x2d, 0x20, 0x2a, 0x69, 0x6e, 0x42, 0xd0, 0xe7, 0xaa, 0xb5, 0xf3, + /* (2^264)P */ 0xea, 0x31, 0x0c, 0x57, 0x0f, 0x3e, 0xe3, 0x35, 0xd8, 0x30, 0xa5, 0x6f, 0xdd, 0x95, 0x43, 0xc6, 0x66, 0x07, 0x4f, 0x34, 0xc3, 0x7e, 0x04, 0x10, 0x2d, 0xc4, 0x1c, 0x94, 0x52, 0x2e, 0x5b, 0x9a, 0x65, 0x2f, 0x91, 0xaa, 0x4f, 0x3c, 0xdc, 0x23, 0x18, 0xe1, 0x4f, 0x85, 0xcd, 0xf4, 0x8c, 0x51, 0xf7, 0xab, 0x4f, 0xdc, 0x15, 0x5c, 0x9e, 0xc5, + /* (2^265)P */ 0x54, 0x57, 0x23, 0x17, 0xe7, 0x82, 0x2f, 0x04, 0x7d, 0xfe, 0xe7, 0x1f, 0xa2, 0x57, 0x79, 0xe9, 0x58, 0x9b, 0xbe, 0xc6, 0x16, 0x4a, 0x17, 0x50, 0x90, 0x4a, 0x34, 0x70, 0x87, 0x37, 0x01, 0x26, 0xd8, 0xa3, 0x5f, 0x07, 0x7c, 0xd0, 0x7d, 0x05, 0x8a, 0x93, 0x51, 0x2f, 0x99, 0xea, 0xcf, 0x00, 0xd8, 0xc7, 0xe6, 0x9b, 0x8c, 0x62, 0x45, 0x87, + /* (2^266)P */ 0xc3, 0xfd, 0x29, 0x66, 0xe7, 0x30, 0x29, 0x77, 0xe0, 0x0d, 0x63, 0x5b, 0xe6, 0x90, 0x1a, 0x1e, 0x99, 0xc2, 0xa7, 0xab, 0xff, 0xa7, 0xbd, 0x79, 0x01, 0x97, 0xfd, 0x27, 0x1b, 0x43, 0x2b, 0xe6, 0xfe, 0x5e, 0xf1, 0xb9, 0x35, 0x38, 0x08, 0x25, 0x55, 0x90, 0x68, 0x2e, 0xc3, 0x67, 0x39, 0x9f, 0x2b, 0x2c, 0x70, 0x48, 0x8c, 0x47, 0xee, 0x56, + /* (2^267)P */ 0xf7, 0x32, 0x70, 0xb5, 0xe6, 0x42, 0xfd, 0x0a, 0x39, 0x9b, 0x07, 0xfe, 0x0e, 0xf4, 0x47, 0xba, 0x6a, 0x3f, 0xf5, 0x2c, 0x15, 0xf3, 0x60, 0x3f, 0xb1, 0x83, 0x7b, 0x2e, 0x34, 0x58, 0x1a, 0x6e, 0x4a, 0x49, 0x05, 0x45, 0xca, 0xdb, 0x00, 0x01, 0x0c, 0x42, 0x5e, 0x60, 0x40, 0x5f, 0xd9, 0xc7, 0x3a, 0x9e, 0x1c, 0x8d, 0xab, 0x11, 0x55, 0x65, + /* (2^268)P */ 0x87, 0x40, 0xb7, 0x0d, 0xaa, 0x34, 0x89, 0x90, 0x75, 0x6d, 0xa2, 0xfe, 0x3b, 0x6d, 0x5c, 0x39, 0x98, 0x10, 0x9e, 0x15, 0xc5, 0x35, 0xa2, 0x27, 0x23, 0x0a, 0x2d, 0x60, 0xe2, 0xa8, 0x7f, 0x3e, 0x77, 0x8f, 0xcc, 0x44, 0xcc, 0x30, 0x28, 0xe2, 0xf0, 0x04, 0x8c, 0xee, 0xe4, 0x5f, 0x68, 0x8c, 0xdf, 0x70, 0xbf, 0x31, 0xee, 0x2a, 0xfc, 0xce, + /* (2^269)P */ 0x92, 0xf2, 0xa0, 0xd9, 0x58, 0x3b, 0x7c, 0x1a, 0x99, 0x46, 0x59, 0x54, 0x60, 0x06, 0x8d, 0x5e, 0xf0, 0x22, 0xa1, 0xed, 0x92, 0x8a, 0x4d, 0x76, 0x95, 0x05, 0x0b, 0xff, 0xfc, 0x9a, 0xd1, 0xcc, 0x05, 0xb9, 0x5e, 0x99, 0xe8, 0x2a, 0x76, 0x7b, 0xfd, 0xa6, 0xe2, 0xd1, 0x1a, 0xd6, 0x76, 0x9f, 0x2f, 0x0e, 0xd1, 0xa8, 0x77, 0x5a, 0x40, 0x5a, + /* (2^270)P */ 0xff, 0xf9, 0x3f, 0xa9, 0xa6, 0x6c, 0x6d, 0x03, 0x8b, 0xa7, 0x10, 0x5d, 0x3f, 0xec, 0x3e, 0x1c, 0x0b, 0x6b, 0xa2, 0x6a, 0x22, 0xa9, 0x28, 0xd0, 0x66, 0xc9, 0xc2, 0x3d, 0x47, 0x20, 0x7d, 0xa6, 0x1d, 0xd8, 0x25, 0xb5, 0xf2, 0xf9, 0x70, 0x19, 0x6b, 0xf8, 0x43, 0x36, 0xc5, 0x1f, 0xe4, 0x5a, 0x4c, 0x13, 0xe4, 0x6d, 0x08, 0x0b, 0x1d, 0xb1, + /* (2^271)P */ 0x3f, 0x20, 0x9b, 0xfb, 0xec, 0x7d, 0x31, 0xc5, 0xfc, 0x88, 0x0b, 0x30, 0xed, 0x36, 0xc0, 0x63, 0xb1, 0x7d, 0x10, 0xda, 0xb6, 0x2e, 0xad, 0xf3, 0xec, 0x94, 0xe7, 0xec, 0xb5, 0x9c, 0xfe, 0xf5, 0x35, 0xf0, 0xa2, 0x2d, 0x7f, 0xca, 0x6b, 0x67, 0x1a, 0xf6, 0xb3, 0xda, 0x09, 0x2a, 0xaa, 0xdf, 0xb1, 0xca, 0x9b, 0xfb, 0xeb, 0xb3, 0xcd, 0xc0, + /* (2^272)P */ 0xcd, 0x4d, 0x89, 0x00, 0xa4, 0x3b, 0x48, 0xf0, 0x76, 0x91, 0x35, 0xa5, 0xf8, 0xc9, 0xb6, 0x46, 0xbc, 0xf6, 0x9a, 0x45, 0x47, 0x17, 0x96, 0x80, 0x5b, 0x3a, 0x28, 0x33, 0xf9, 0x5a, 0xef, 0x43, 0x07, 0xfe, 0x3b, 0xf4, 0x8e, 0x19, 0xce, 0xd2, 0x94, 0x4b, 0x6d, 0x8e, 0x67, 0x20, 0xc7, 0x4f, 0x2f, 0x59, 0x8e, 0xe1, 0xa1, 0xa9, 0xf9, 0x0e, + /* (2^273)P */ 0xdc, 0x7b, 0xb5, 0x50, 0x2e, 0xe9, 0x7e, 0x8b, 0x78, 0xa1, 0x38, 0x96, 0x22, 0xc3, 0x61, 0x67, 0x6d, 0xc8, 0x58, 0xed, 0x41, 0x1d, 0x5d, 0x86, 0x98, 0x7f, 0x2f, 0x1b, 0x8d, 0x3e, 0xaa, 0xc1, 0xd2, 0x0a, 0xf3, 0xbf, 0x95, 0x04, 0xf3, 0x10, 0x3c, 0x2b, 0x7f, 0x90, 0x46, 0x04, 0xaa, 0x6a, 0xa9, 0x35, 0x76, 0xac, 0x49, 0xb5, 0x00, 0x45, + /* (2^274)P */ 0xb1, 0x93, 0x79, 0x84, 0x4a, 0x2a, 0x30, 0x78, 0x16, 0xaa, 0xc5, 0x74, 0x06, 0xce, 0xa5, 0xa7, 0x32, 0x86, 0xe0, 0xf9, 0x10, 0xd2, 0x58, 0x76, 0xfb, 0x66, 0x49, 0x76, 0x3a, 0x90, 0xba, 0xb5, 0xcc, 0x99, 0xcd, 0x09, 0xc1, 0x9a, 0x74, 0x23, 0xdf, 0x0c, 0xfe, 0x99, 0x52, 0x80, 0xa3, 0x7c, 0x1c, 0x71, 0x5f, 0x2c, 0x49, 0x57, 0xf4, 0xf9, + /* (2^275)P */ 0x6d, 0xbf, 0x52, 0xe6, 0x25, 0x98, 0xed, 0xcf, 0xe3, 0xbc, 0x08, 0xa2, 0x1a, 0x90, 0xae, 0xa0, 0xbf, 0x07, 0x15, 0xad, 0x0a, 0x9f, 0x3e, 0x47, 0x44, 0xc2, 0x10, 0x46, 0xa6, 0x7a, 0x9e, 0x2f, 0x57, 0xbc, 0xe2, 0xf0, 0x1d, 0xd6, 0x9a, 0x06, 0xed, 0xfc, 0x54, 0x95, 0x92, 0x15, 0xa2, 0xf7, 0x8d, 0x6b, 0xef, 0xb2, 0x05, 0xed, 0x5c, 0x63, + /* (2^276)P */ 0xbc, 0x0b, 0x27, 0x3a, 0x3a, 0xf8, 0xe1, 0x48, 0x02, 0x7e, 0x27, 0xe6, 0x81, 0x62, 0x07, 0x73, 0x74, 0xe5, 0x52, 0xd7, 0xf8, 0x26, 0xca, 0x93, 0x4d, 0x3e, 0x9b, 0x55, 0x09, 0x8e, 0xe3, 0xd7, 0xa6, 0xe3, 0xb6, 0x2a, 0xa9, 0xb3, 0xb0, 0xa0, 0x8c, 0x01, 0xbb, 0x07, 0x90, 0x78, 0x6d, 0x6d, 0xe9, 0xf0, 0x7a, 0x90, 0xbd, 0xdc, 0x0c, 0x36, + /* (2^277)P */ 0x7f, 0x20, 0x12, 0x0f, 0x40, 0x00, 0x53, 0xd8, 0x0c, 0x27, 0x47, 0x47, 0x22, 0x80, 0xfb, 0x62, 0xe4, 0xa7, 0xf7, 0xbd, 0x42, 0xa5, 0xc3, 0x2b, 0xb2, 0x7f, 0x50, 0xcc, 0xe2, 0xfb, 0xd5, 0xc0, 0x63, 0xdd, 0x24, 0x5f, 0x7c, 0x08, 0x91, 0xbf, 0x6e, 0x47, 0x44, 0xd4, 0x6a, 0xc0, 0xc3, 0x09, 0x39, 0x27, 0xdd, 0xc7, 0xca, 0x06, 0x29, 0x55, + /* (2^278)P */ 0x76, 0x28, 0x58, 0xb0, 0xd2, 0xf3, 0x0f, 0x04, 0xe9, 0xc9, 0xab, 0x66, 0x5b, 0x75, 0x51, 0xdc, 0xe5, 0x8f, 0xe8, 0x1f, 0xdb, 0x03, 0x0f, 0xb0, 0x7d, 0xf9, 0x20, 0x64, 0x89, 0xe9, 0xdc, 0xe6, 0x24, 0xc3, 0xd5, 0xd2, 0x41, 0xa6, 0xe4, 0xe3, 0xc4, 0x79, 0x7c, 0x0f, 0xa1, 0x61, 0x2f, 0xda, 0xa4, 0xc9, 0xfd, 0xad, 0x5c, 0x65, 0x6a, 0xf3, + /* (2^279)P */ 0xd5, 0xab, 0x72, 0x7a, 0x3b, 0x59, 0xea, 0xcf, 0xd5, 0x17, 0xd2, 0xb2, 0x5f, 0x2d, 0xab, 0xad, 0x9e, 0x88, 0x64, 0x55, 0x96, 0x6e, 0xf3, 0x44, 0xa9, 0x11, 0xf5, 0xf8, 0x3a, 0xf1, 0xcd, 0x79, 0x4c, 0x99, 0x6d, 0x23, 0x6a, 0xa0, 0xc2, 0x1a, 0x19, 0x45, 0xb5, 0xd8, 0x95, 0x2f, 0x49, 0xe9, 0x46, 0x39, 0x26, 0x60, 0x04, 0x15, 0x8b, 0xcc, + /* (2^280)P */ 0x66, 0x0c, 0xf0, 0x54, 0x41, 0x02, 0x91, 0xab, 0xe5, 0x85, 0x8a, 0x44, 0xa6, 0x34, 0x96, 0x32, 0xc0, 0xdf, 0x6c, 0x41, 0x39, 0xd4, 0xc6, 0xe1, 0xe3, 0x81, 0xb0, 0x4c, 0x34, 0x4f, 0xe5, 0xf4, 0x35, 0x46, 0x1f, 0xeb, 0x75, 0xfd, 0x43, 0x37, 0x50, 0x99, 0xab, 0xad, 0xb7, 0x8c, 0xa1, 0x57, 0xcb, 0xe6, 0xce, 0x16, 0x2e, 0x85, 0xcc, 0xf9, + /* (2^281)P */ 0x63, 0xd1, 0x3f, 0x9e, 0xa2, 0x17, 0x2e, 0x1d, 0x3e, 0xce, 0x48, 0x2d, 0xbb, 0x8f, 0x69, 0xc9, 0xa6, 0x3d, 0x4e, 0xfe, 0x09, 0x56, 0xb3, 0x02, 0x5f, 0x99, 0x97, 0x0c, 0x54, 0xda, 0x32, 0x97, 0x9b, 0xf4, 0x95, 0xf1, 0xad, 0xe3, 0x2b, 0x04, 0xa7, 0x9b, 0x3f, 0xbb, 0xe7, 0x87, 0x2e, 0x1f, 0x8b, 0x4b, 0x7a, 0xa4, 0x43, 0x0c, 0x0f, 0x35, + /* (2^282)P */ 0x05, 0xdc, 0xe0, 0x2c, 0xa1, 0xc1, 0xd0, 0xf1, 0x1f, 0x4e, 0xc0, 0x6c, 0x35, 0x7b, 0xca, 0x8f, 0x8b, 0x02, 0xb1, 0xf7, 0xd6, 0x2e, 0xe7, 0x93, 0x80, 0x85, 0x18, 0x88, 0x19, 0xb9, 0xb4, 0x4a, 0xbc, 0xeb, 0x5a, 0x78, 0x38, 0xed, 0xc6, 0x27, 0x2a, 0x74, 0x76, 0xf0, 0x1b, 0x79, 0x92, 0x2f, 0xd2, 0x81, 0x98, 0xdf, 0xa9, 0x50, 0x19, 0xeb, + /* (2^283)P */ 0xb5, 0xe7, 0xb4, 0x11, 0x3a, 0x81, 0xb6, 0xb4, 0xf8, 0xa2, 0xb3, 0x6c, 0xfc, 0x9d, 0xe0, 0xc0, 0xe0, 0x59, 0x7f, 0x05, 0x37, 0xef, 0x2c, 0xa9, 0x3a, 0x24, 0xac, 0x7b, 0x25, 0xa0, 0x55, 0xd2, 0x44, 0x82, 0x82, 0x6e, 0x64, 0xa3, 0x58, 0xc8, 0x67, 0xae, 0x26, 0xa7, 0x0f, 0x42, 0x63, 0xe1, 0x93, 0x01, 0x52, 0x19, 0xaf, 0x49, 0x3e, 0x33, + /* (2^284)P */ 0x05, 0x85, 0xe6, 0x66, 0xaf, 0x5f, 0xdf, 0xbf, 0x9d, 0x24, 0x62, 0x60, 0x90, 0xe2, 0x4c, 0x7d, 0x4e, 0xc3, 0x74, 0x5d, 0x4f, 0x53, 0xf3, 0x63, 0x13, 0xf4, 0x74, 0x28, 0x6b, 0x7d, 0x57, 0x0c, 0x9d, 0x84, 0xa7, 0x1a, 0xff, 0xa0, 0x79, 0xdf, 0xfc, 0x65, 0x98, 0x8e, 0x22, 0x0d, 0x62, 0x7e, 0xf2, 0x34, 0x60, 0x83, 0x05, 0x14, 0xb1, 0xc1, + /* (2^285)P */ 0x64, 0x22, 0xcc, 0xdf, 0x5c, 0xbc, 0x88, 0x68, 0x4c, 0xd9, 0xbc, 0x0e, 0xc9, 0x8b, 0xb4, 0x23, 0x52, 0xad, 0xb0, 0xb3, 0xf1, 0x17, 0xd8, 0x15, 0x04, 0x6b, 0x99, 0xf0, 0xc4, 0x7d, 0x48, 0x22, 0x4a, 0xf8, 0x6f, 0xaa, 0x88, 0x0d, 0xc5, 0x5e, 0xa9, 0x1c, 0x61, 0x3d, 0x95, 0xa9, 0x7b, 0x6a, 0x79, 0x33, 0x0a, 0x2b, 0x99, 0xe3, 0x4e, 0x48, + /* (2^286)P */ 0x6b, 0x9b, 0x6a, 0x2a, 0xf1, 0x60, 0x31, 0xb4, 0x73, 0xd1, 0x87, 0x45, 0x9c, 0x15, 0x58, 0x4b, 0x91, 0x6d, 0x94, 0x1c, 0x41, 0x11, 0x4a, 0x83, 0xec, 0xaf, 0x65, 0xbc, 0x34, 0xaa, 0x26, 0xe2, 0xaf, 0xed, 0x46, 0x05, 0x4e, 0xdb, 0xc6, 0x4e, 0x10, 0x28, 0x4e, 0x72, 0xe5, 0x31, 0xa3, 0x20, 0xd7, 0xb1, 0x96, 0x64, 0xf6, 0xce, 0x08, 0x08, + /* (2^287)P */ 0x16, 0xa9, 0x5c, 0x9f, 0x9a, 0xb4, 0xb8, 0xc8, 0x32, 0x78, 0xc0, 0x3a, 0xd9, 0x5f, 0x94, 0xac, 0x3a, 0x42, 0x1f, 0x43, 0xd6, 0x80, 0x47, 0x2c, 0xdc, 0x76, 0x27, 0xfa, 0x50, 0xe5, 0xa1, 0xe4, 0xc3, 0xcb, 0x61, 0x31, 0xe1, 0x2e, 0xde, 0x81, 0x3b, 0x77, 0x1c, 0x39, 0x3c, 0xdb, 0xda, 0x87, 0x4b, 0x84, 0x12, 0xeb, 0xdd, 0x54, 0xbf, 0xe7, + /* (2^288)P */ 0xbf, 0xcb, 0x73, 0x21, 0x3d, 0x7e, 0x13, 0x8c, 0xa6, 0x34, 0x21, 0x2b, 0xa5, 0xe4, 0x9f, 0x8e, 0x9c, 0x01, 0x9c, 0x43, 0xd9, 0xc7, 0xb9, 0xf1, 0xbe, 0x7f, 0x45, 0x51, 0x97, 0xa1, 0x8e, 0x01, 0xf8, 0xbd, 0xd2, 0xbf, 0x81, 0x3a, 0x8b, 0xab, 0xe4, 0x89, 0xb7, 0xbd, 0xf2, 0xcd, 0xa9, 0x8a, 0x8a, 0xde, 0xfb, 0x8a, 0x55, 0x12, 0x7b, 0x17, + /* (2^289)P */ 0x1b, 0x95, 0x58, 0x4d, 0xe6, 0x51, 0x31, 0x52, 0x1c, 0xd8, 0x15, 0x84, 0xb1, 0x0d, 0x36, 0x25, 0x88, 0x91, 0x46, 0x71, 0x42, 0x56, 0xe2, 0x90, 0x08, 0x9e, 0x77, 0x1b, 0xee, 0x22, 0x3f, 0xec, 0xee, 0x8c, 0x7b, 0x2e, 0x79, 0xc4, 0x6c, 0x07, 0xa1, 0x7e, 0x52, 0xf5, 0x26, 0x5c, 0x84, 0x2a, 0x50, 0x6e, 0x82, 0xb3, 0x76, 0xda, 0x35, 0x16, + /* (2^290)P */ 0x0a, 0x6f, 0x99, 0x87, 0xc0, 0x7d, 0x8a, 0xb2, 0xca, 0xae, 0xe8, 0x65, 0x98, 0x0f, 0xb3, 0x44, 0xe1, 0xdc, 0x52, 0x79, 0x75, 0xec, 0x8f, 0x95, 0x87, 0x45, 0xd1, 0x32, 0x18, 0x55, 0x15, 0xce, 0x64, 0x9b, 0x08, 0x4f, 0x2c, 0xea, 0xba, 0x1c, 0x57, 0x06, 0x63, 0xc8, 0xb1, 0xfd, 0xc5, 0x67, 0xe7, 0x1f, 0x87, 0x9e, 0xde, 0x72, 0x7d, 0xec, + /* (2^291)P */ 0x36, 0x8b, 0x4d, 0x2c, 0xc2, 0x46, 0xe8, 0x96, 0xac, 0x0b, 0x8c, 0xc5, 0x09, 0x10, 0xfc, 0xf2, 0xda, 0xea, 0x22, 0xb2, 0xd3, 0x89, 0xeb, 0xb2, 0x85, 0x0f, 0xff, 0x59, 0x50, 0x2c, 0x99, 0x5a, 0x1f, 0xec, 0x2a, 0x6f, 0xec, 0xcf, 0xe9, 0xce, 0x12, 0x6b, 0x19, 0xd8, 0xde, 0x9b, 0xce, 0x0e, 0x6a, 0xaa, 0xe1, 0x32, 0xea, 0x4c, 0xfe, 0x92, + /* (2^292)P */ 0x5f, 0x17, 0x70, 0x53, 0x26, 0x03, 0x0b, 0xab, 0xd1, 0xc1, 0x42, 0x0b, 0xab, 0x2b, 0x3d, 0x31, 0xa4, 0xd5, 0x2b, 0x5e, 0x00, 0xd5, 0x9a, 0x22, 0x34, 0xe0, 0x53, 0x3f, 0x59, 0x7f, 0x2c, 0x6d, 0x72, 0x9a, 0xa4, 0xbe, 0x3d, 0x42, 0x05, 0x1b, 0xf2, 0x7f, 0x88, 0x56, 0xd1, 0x7c, 0x7d, 0x6b, 0x9f, 0x43, 0xfe, 0x65, 0x19, 0xae, 0x9c, 0x4c, + /* (2^293)P */ 0xf3, 0x7c, 0x20, 0xa9, 0xfc, 0xf2, 0xf2, 0x3b, 0x3c, 0x57, 0x41, 0x94, 0xe5, 0xcc, 0x6a, 0x37, 0x5d, 0x09, 0xf2, 0xab, 0xc2, 0xca, 0x60, 0x38, 0x6b, 0x7a, 0xe1, 0x78, 0x2b, 0xc1, 0x1d, 0xe8, 0xfd, 0xbc, 0x3d, 0x5c, 0xa2, 0xdb, 0x49, 0x20, 0x79, 0xe6, 0x1b, 0x9b, 0x65, 0xd9, 0x6d, 0xec, 0x57, 0x1d, 0xd2, 0xe9, 0x90, 0xeb, 0x43, 0x7b, + /* (2^294)P */ 0x2a, 0x8b, 0x2e, 0x19, 0x18, 0x10, 0xb8, 0x83, 0xe7, 0x7d, 0x2d, 0x9a, 0x3a, 0xe5, 0xd1, 0xe4, 0x7c, 0x38, 0xe5, 0x59, 0x2a, 0x6e, 0xd9, 0x01, 0x29, 0x3d, 0x23, 0xf7, 0x52, 0xba, 0x61, 0x04, 0x9a, 0xde, 0xc4, 0x31, 0x50, 0xeb, 0x1b, 0xaa, 0xde, 0x39, 0x58, 0xd8, 0x1b, 0x1e, 0xfc, 0x57, 0x9a, 0x28, 0x43, 0x9e, 0x97, 0x5e, 0xaa, 0xa3, + /* (2^295)P */ 0x97, 0x0a, 0x74, 0xc4, 0x39, 0x99, 0x6b, 0x40, 0xc7, 0x3e, 0x8c, 0xa7, 0xb1, 0x4e, 0x9a, 0x59, 0x6e, 0x1c, 0xfe, 0xfc, 0x2a, 0x5e, 0x73, 0x2b, 0x8c, 0xa9, 0x71, 0xf5, 0xda, 0x6b, 0x15, 0xab, 0xf7, 0xbe, 0x2a, 0x44, 0x5f, 0xba, 0xae, 0x67, 0x93, 0xc5, 0x86, 0xc1, 0xb8, 0xdf, 0xdc, 0xcb, 0xd7, 0xff, 0xb1, 0x71, 0x7c, 0x6f, 0x88, 0xf8, + /* (2^296)P */ 0x3f, 0x89, 0xb1, 0xbf, 0x24, 0x16, 0xac, 0x56, 0xfe, 0xdf, 0x94, 0x71, 0xbf, 0xd6, 0x57, 0x0c, 0xb4, 0x77, 0x37, 0xaa, 0x2a, 0x70, 0x76, 0x49, 0xaf, 0x0c, 0x97, 0x8e, 0x78, 0x2a, 0x67, 0xc9, 0x3b, 0x3d, 0x5b, 0x01, 0x2f, 0xda, 0xd5, 0xa8, 0xde, 0x02, 0xa9, 0xac, 0x76, 0x00, 0x0b, 0x46, 0xc6, 0x2d, 0xdc, 0x08, 0xf4, 0x10, 0x2c, 0xbe, + /* (2^297)P */ 0xcb, 0x07, 0xf9, 0x91, 0xc6, 0xd5, 0x3e, 0x54, 0x63, 0xae, 0xfc, 0x10, 0xbe, 0x3a, 0x20, 0x73, 0x4e, 0x65, 0x0e, 0x2d, 0x86, 0x77, 0x83, 0x9d, 0xe2, 0x0a, 0xe9, 0xac, 0x22, 0x52, 0x76, 0xd4, 0x6e, 0xfa, 0xe0, 0x09, 0xef, 0x78, 0x82, 0x9f, 0x26, 0xf9, 0x06, 0xb5, 0xe7, 0x05, 0x0e, 0xf2, 0x46, 0x72, 0x93, 0xd3, 0x24, 0xbd, 0x87, 0x60, + /* (2^298)P */ 0x14, 0x55, 0x84, 0x7b, 0x6c, 0x60, 0x80, 0x73, 0x8c, 0xbe, 0x2d, 0xd6, 0x69, 0xd6, 0x17, 0x26, 0x44, 0x9f, 0x88, 0xa2, 0x39, 0x7c, 0x89, 0xbc, 0x6d, 0x9e, 0x46, 0xb6, 0x68, 0x66, 0xea, 0xdc, 0x31, 0xd6, 0x21, 0x51, 0x9f, 0x28, 0x28, 0xaf, 0x9e, 0x47, 0x2c, 0x4c, 0x8f, 0xf3, 0xaf, 0x1f, 0xe4, 0xab, 0xac, 0xe9, 0x0c, 0x91, 0x3a, 0x61, + /* (2^299)P */ 0xb0, 0x37, 0x55, 0x4b, 0xe9, 0xc3, 0xb1, 0xce, 0x42, 0xe6, 0xc5, 0x11, 0x7f, 0x2c, 0x11, 0xfc, 0x4e, 0x71, 0x17, 0x00, 0x74, 0x7f, 0xbf, 0x07, 0x4d, 0xfd, 0x40, 0xb2, 0x87, 0xb0, 0xef, 0x1f, 0x35, 0x2c, 0x2d, 0xd7, 0xe1, 0xe4, 0xad, 0x0e, 0x7f, 0x63, 0x66, 0x62, 0x23, 0x41, 0xf6, 0xc1, 0x14, 0xa6, 0xd7, 0xa9, 0x11, 0x56, 0x9d, 0x1b, + /* (2^300)P */ 0x02, 0x82, 0x42, 0x18, 0x4f, 0x1b, 0xc9, 0x5d, 0x78, 0x5f, 0xee, 0xed, 0x01, 0x49, 0x8f, 0xf2, 0xa0, 0xe2, 0x6e, 0xbb, 0x6b, 0x04, 0x8d, 0xb2, 0x41, 0xae, 0xc8, 0x1b, 0x59, 0x34, 0xb8, 0x2a, 0xdb, 0x1f, 0xd2, 0x52, 0xdf, 0x3f, 0x35, 0x00, 0x8b, 0x61, 0xbc, 0x97, 0xa0, 0xc4, 0x77, 0xd1, 0xe4, 0x2c, 0x59, 0x68, 0xff, 0x30, 0xf2, 0xe2, + /* (2^301)P */ 0x79, 0x08, 0xb1, 0xdb, 0x55, 0xae, 0xd0, 0xed, 0xda, 0xa0, 0xec, 0x6c, 0xae, 0x68, 0xf2, 0x0b, 0x61, 0xb3, 0xf5, 0x21, 0x69, 0x87, 0x0b, 0x03, 0xea, 0x8a, 0x15, 0xd9, 0x7e, 0xca, 0xf7, 0xcd, 0xf3, 0x33, 0xb3, 0x4c, 0x5b, 0x23, 0x4e, 0x6f, 0x90, 0xad, 0x91, 0x4b, 0x4f, 0x46, 0x37, 0xe5, 0xe8, 0xb7, 0xeb, 0xd5, 0xca, 0x34, 0x4e, 0x23, + /* (2^302)P */ 0x09, 0x02, 0xdd, 0xfd, 0x70, 0xac, 0x56, 0x80, 0x36, 0x5e, 0x49, 0xd0, 0x3f, 0xc2, 0xe0, 0xba, 0x46, 0x7f, 0x5c, 0xf7, 0xc5, 0xbd, 0xd5, 0x55, 0x7d, 0x3f, 0xd5, 0x7d, 0x06, 0xdf, 0x27, 0x20, 0x4f, 0xe9, 0x30, 0xec, 0x1b, 0xa0, 0x0c, 0xd4, 0x2c, 0xe1, 0x2b, 0x65, 0x73, 0xea, 0x75, 0x35, 0xe8, 0xe6, 0x56, 0xd6, 0x07, 0x15, 0x99, 0xdf, + /* (2^303)P */ 0x4e, 0x10, 0xb7, 0xd0, 0x63, 0x8c, 0xcf, 0x16, 0x00, 0x7c, 0x58, 0xdf, 0x86, 0xdc, 0x4e, 0xca, 0x9c, 0x40, 0x5a, 0x42, 0xfd, 0xec, 0x98, 0xa4, 0x42, 0x53, 0xae, 0x16, 0x9d, 0xfd, 0x75, 0x5a, 0x12, 0x56, 0x1e, 0xc6, 0x57, 0xcc, 0x79, 0x27, 0x96, 0x00, 0xcf, 0x80, 0x4f, 0x8a, 0x36, 0x5c, 0xbb, 0xe9, 0x12, 0xdb, 0xb6, 0x2b, 0xad, 0x96, + /* (2^304)P */ 0x92, 0x32, 0x1f, 0xfd, 0xc6, 0x02, 0x94, 0x08, 0x1b, 0x60, 0x6a, 0x9f, 0x8b, 0xd6, 0xc8, 0xad, 0xd5, 0x1b, 0x27, 0x4e, 0xa4, 0x4d, 0x4a, 0x00, 0x10, 0x5f, 0x86, 0x11, 0xf5, 0xe3, 0x14, 0x32, 0x43, 0xee, 0xb9, 0xc7, 0xab, 0xf4, 0x6f, 0xe5, 0x66, 0x0c, 0x06, 0x0d, 0x96, 0x79, 0x28, 0xaf, 0x45, 0x2b, 0x56, 0xbe, 0xe4, 0x4a, 0x52, 0xd6, + /* (2^305)P */ 0x15, 0x16, 0x69, 0xef, 0x60, 0xca, 0x82, 0x25, 0x0f, 0xc6, 0x30, 0xa0, 0x0a, 0xd1, 0x83, 0x29, 0xcd, 0xb6, 0x89, 0x6c, 0xf5, 0xb2, 0x08, 0x38, 0xe6, 0xca, 0x6b, 0x19, 0x93, 0xc6, 0x5f, 0x75, 0x8e, 0x60, 0x34, 0x23, 0xc4, 0x13, 0x17, 0x69, 0x55, 0xcc, 0x72, 0x9c, 0x2b, 0x6c, 0x80, 0xf4, 0x4b, 0x8b, 0xb6, 0x97, 0x65, 0x07, 0xb6, 0xfb, + /* (2^306)P */ 0x01, 0x99, 0x74, 0x28, 0xa6, 0x67, 0xa3, 0xe5, 0x25, 0xfb, 0xdf, 0x82, 0x93, 0xe7, 0x35, 0x74, 0xce, 0xe3, 0x15, 0x1c, 0x1d, 0x79, 0x52, 0x84, 0x08, 0x04, 0x2f, 0x5c, 0xb8, 0xcd, 0x7f, 0x89, 0xb0, 0x39, 0x93, 0x63, 0xc9, 0x5d, 0x06, 0x01, 0x59, 0xf7, 0x7e, 0xf1, 0x4c, 0x3d, 0x12, 0x8d, 0x69, 0x1d, 0xb7, 0x21, 0x5e, 0x88, 0x82, 0xa2, + /* (2^307)P */ 0x8e, 0x69, 0xaf, 0x9a, 0x41, 0x0d, 0x9d, 0xcf, 0x8e, 0x8d, 0x5c, 0x51, 0x6e, 0xde, 0x0e, 0x48, 0x23, 0x89, 0xe5, 0x37, 0x80, 0xd6, 0x9d, 0x72, 0x32, 0x26, 0x38, 0x2d, 0x63, 0xa0, 0xfa, 0xd3, 0x40, 0xc0, 0x8c, 0x68, 0x6f, 0x2b, 0x1e, 0x9a, 0x39, 0x51, 0x78, 0x74, 0x9a, 0x7b, 0x4a, 0x8f, 0x0c, 0xa0, 0x88, 0x60, 0xa5, 0x21, 0xcd, 0xc7, + /* (2^308)P */ 0x3a, 0x7f, 0x73, 0x14, 0xbf, 0x89, 0x6a, 0x4c, 0x09, 0x5d, 0xf2, 0x93, 0x20, 0x2d, 0xc4, 0x29, 0x86, 0x06, 0x95, 0xab, 0x22, 0x76, 0x4c, 0x54, 0xe1, 0x7e, 0x80, 0x6d, 0xab, 0x29, 0x61, 0x87, 0x77, 0xf6, 0xc0, 0x3e, 0xda, 0xab, 0x65, 0x7e, 0x39, 0x12, 0xa1, 0x6b, 0x42, 0xf7, 0xc5, 0x97, 0x77, 0xec, 0x6f, 0x22, 0xbe, 0x44, 0xc7, 0x03, + /* (2^309)P */ 0xa5, 0x23, 0x90, 0x41, 0xa3, 0xc5, 0x3e, 0xe0, 0xa5, 0x32, 0x49, 0x1f, 0x39, 0x78, 0xb1, 0xd8, 0x24, 0xea, 0xd4, 0x87, 0x53, 0x42, 0x51, 0xf4, 0xd9, 0x46, 0x25, 0x2f, 0x62, 0xa9, 0x90, 0x9a, 0x4a, 0x25, 0x8a, 0xd2, 0x10, 0xe7, 0x3c, 0xbc, 0x58, 0x8d, 0x16, 0x14, 0x96, 0xa4, 0x6f, 0xf8, 0x12, 0x69, 0x91, 0x73, 0xe2, 0xfa, 0xf4, 0x57, + /* (2^310)P */ 0x51, 0x45, 0x3f, 0x96, 0xdc, 0x97, 0x38, 0xa6, 0x01, 0x63, 0x09, 0xea, 0xc2, 0x13, 0x30, 0xb0, 0x00, 0xb8, 0x0a, 0xce, 0xd1, 0x8f, 0x3e, 0x69, 0x62, 0x46, 0x33, 0x9c, 0xbf, 0x4b, 0xcb, 0x0c, 0x90, 0x1c, 0x45, 0xcf, 0x37, 0x5b, 0xf7, 0x4b, 0x5e, 0x95, 0xc3, 0x28, 0x9f, 0x08, 0x83, 0x53, 0x74, 0xab, 0x0c, 0xb4, 0xc0, 0xa1, 0xbc, 0x89, + /* (2^311)P */ 0x06, 0xb1, 0x51, 0x15, 0x65, 0x60, 0x21, 0x17, 0x7a, 0x20, 0x65, 0xee, 0x12, 0x35, 0x4d, 0x46, 0xf4, 0xf8, 0xd0, 0xb1, 0xca, 0x09, 0x30, 0x08, 0x89, 0x23, 0x3b, 0xe7, 0xab, 0x8b, 0x77, 0xa6, 0xad, 0x25, 0xdd, 0xea, 0x3c, 0x7d, 0xa5, 0x24, 0xb3, 0xe8, 0xfa, 0xfb, 0xc9, 0xf2, 0x71, 0xe9, 0xfa, 0xf2, 0xdc, 0x54, 0xdd, 0x55, 0x2e, 0x2f, + /* (2^312)P */ 0x7f, 0x96, 0x96, 0xfb, 0x52, 0x86, 0xcf, 0xea, 0x62, 0x18, 0xf1, 0x53, 0x1f, 0x61, 0x2a, 0x9f, 0x8c, 0x51, 0xca, 0x2c, 0xde, 0x6d, 0xce, 0xab, 0x58, 0x32, 0x0b, 0x33, 0x9b, 0x99, 0xb4, 0x5c, 0x88, 0x2a, 0x76, 0xcc, 0x3e, 0x54, 0x1e, 0x9d, 0xa2, 0x89, 0xe4, 0x19, 0xba, 0x80, 0xc8, 0x39, 0x32, 0x7f, 0x0f, 0xc7, 0x84, 0xbb, 0x43, 0x56, + /* (2^313)P */ 0x9b, 0x07, 0xb4, 0x42, 0xa9, 0xa0, 0x78, 0x4f, 0x28, 0x70, 0x2b, 0x7e, 0x61, 0xe0, 0xdd, 0x02, 0x98, 0xfc, 0xed, 0x31, 0x80, 0xf1, 0x15, 0x52, 0x89, 0x23, 0xcd, 0x5d, 0x2b, 0xc5, 0x19, 0x32, 0xfb, 0x70, 0x50, 0x7a, 0x97, 0x6b, 0x42, 0xdb, 0xca, 0xdb, 0xc4, 0x59, 0x99, 0xe0, 0x12, 0x1f, 0x17, 0xba, 0x8b, 0xf0, 0xc4, 0x38, 0x5d, 0x27, + /* (2^314)P */ 0x29, 0x1d, 0xdc, 0x2b, 0xf6, 0x5b, 0x04, 0x61, 0x36, 0x76, 0xa0, 0x56, 0x36, 0x6e, 0xd7, 0x24, 0x4d, 0xe7, 0xef, 0x44, 0xd2, 0xd5, 0x07, 0xcd, 0xc4, 0x9d, 0x80, 0x48, 0xc3, 0x38, 0xcf, 0xd8, 0xa3, 0xdd, 0xb2, 0x5e, 0xb5, 0x70, 0x15, 0xbb, 0x36, 0x85, 0x8a, 0xd7, 0xfb, 0x56, 0x94, 0x73, 0x9c, 0x81, 0xbe, 0xb1, 0x44, 0x28, 0xf1, 0x37, + /* (2^315)P */ 0xbf, 0xcf, 0x5c, 0xd2, 0xe2, 0xea, 0xc2, 0xcd, 0x70, 0x7a, 0x9d, 0xcb, 0x81, 0xc1, 0xe9, 0xf1, 0x56, 0x71, 0x52, 0xf7, 0x1b, 0x87, 0xc6, 0xd8, 0xcc, 0xb2, 0x69, 0xf3, 0xb0, 0xbd, 0xba, 0x83, 0x12, 0x26, 0xc4, 0xce, 0x72, 0xde, 0x3b, 0x21, 0x28, 0x9e, 0x5a, 0x94, 0xf5, 0x04, 0xa3, 0xc8, 0x0f, 0x5e, 0xbc, 0x71, 0xf9, 0x0d, 0xce, 0xf5, + /* (2^316)P */ 0x93, 0x97, 0x00, 0x85, 0xf4, 0xb4, 0x40, 0xec, 0xd9, 0x2b, 0x6c, 0xd6, 0x63, 0x9e, 0x93, 0x0a, 0x5a, 0xf4, 0xa7, 0x9a, 0xe3, 0x3c, 0xf0, 0x55, 0xd1, 0x96, 0x6c, 0xf5, 0x2a, 0xce, 0xd7, 0x95, 0x72, 0xbf, 0xc5, 0x0c, 0xce, 0x79, 0xa2, 0x0a, 0x78, 0xe0, 0x72, 0xd0, 0x66, 0x28, 0x05, 0x75, 0xd3, 0x23, 0x09, 0x91, 0xed, 0x7e, 0xc4, 0xbc, + /* (2^317)P */ 0x77, 0xc2, 0x9a, 0xf7, 0xa6, 0xe6, 0x18, 0xb4, 0xe7, 0xf6, 0xda, 0xec, 0x44, 0x6d, 0xfb, 0x08, 0xee, 0x65, 0xa8, 0x92, 0x85, 0x1f, 0xba, 0x38, 0x93, 0x20, 0x5c, 0x4d, 0xd2, 0x18, 0x0f, 0x24, 0xbe, 0x1a, 0x96, 0x44, 0x7d, 0xeb, 0xb3, 0xda, 0x95, 0xf4, 0xaf, 0x6c, 0x06, 0x0f, 0x47, 0x37, 0xc8, 0x77, 0x63, 0xe1, 0x29, 0xef, 0xff, 0xa5, + /* (2^318)P */ 0x16, 0x12, 0xd9, 0x47, 0x90, 0x22, 0x9b, 0x05, 0xf2, 0xa5, 0x9a, 0xae, 0x83, 0x98, 0xb5, 0xac, 0xab, 0x29, 0xaa, 0xdc, 0x5f, 0xde, 0xcd, 0xf7, 0x42, 0xad, 0x3b, 0x96, 0xd6, 0x3e, 0x6e, 0x52, 0x47, 0xb1, 0xab, 0x51, 0xde, 0x49, 0x7c, 0x87, 0x8d, 0x86, 0xe2, 0x70, 0x13, 0x21, 0x51, 0x1c, 0x0c, 0x25, 0xc1, 0xb0, 0xe6, 0x19, 0xcf, 0x12, + /* (2^319)P */ 0xf0, 0xbc, 0x97, 0x8f, 0x4b, 0x2f, 0xd1, 0x1f, 0x8c, 0x57, 0xed, 0x3c, 0xf4, 0x26, 0x19, 0xbb, 0x60, 0xca, 0x24, 0xc5, 0xd9, 0x97, 0xe2, 0x5f, 0x76, 0x49, 0x39, 0x7e, 0x2d, 0x12, 0x21, 0x98, 0xda, 0xe6, 0xdb, 0xd2, 0xd8, 0x9f, 0x18, 0xd8, 0x83, 0x6c, 0xba, 0x89, 0x8d, 0x29, 0xfa, 0x46, 0x33, 0x8c, 0x28, 0xdf, 0x6a, 0xb3, 0x69, 0x28, + /* (2^320)P */ 0x86, 0x17, 0xbc, 0xd6, 0x7c, 0xba, 0x1e, 0x83, 0xbb, 0x84, 0xb5, 0x8c, 0xad, 0xdf, 0xa1, 0x24, 0x81, 0x70, 0x40, 0x0f, 0xad, 0xad, 0x3b, 0x23, 0xd0, 0x93, 0xa0, 0x49, 0x5c, 0x4b, 0x51, 0xbe, 0x20, 0x49, 0x4e, 0xda, 0x2d, 0xd3, 0xad, 0x1b, 0x74, 0x08, 0x41, 0xf0, 0xef, 0x19, 0xe9, 0x45, 0x5d, 0x02, 0xae, 0x26, 0x25, 0xd9, 0xd1, 0xc2, + /* (2^321)P */ 0x48, 0x81, 0x3e, 0xb2, 0x83, 0xf8, 0x4d, 0xb3, 0xd0, 0x4c, 0x75, 0xb3, 0xa0, 0x52, 0x26, 0xf2, 0xaf, 0x5d, 0x36, 0x70, 0x72, 0xd6, 0xb7, 0x88, 0x08, 0x69, 0xbd, 0x15, 0x25, 0xb1, 0x45, 0x1b, 0xb7, 0x0b, 0x5f, 0x71, 0x5d, 0x83, 0x49, 0xb9, 0x84, 0x3b, 0x7c, 0xc1, 0x50, 0x93, 0x05, 0x53, 0xe0, 0x61, 0xea, 0xc1, 0xef, 0xdb, 0x82, 0x97, + /* (2^322)P */ 0x00, 0xd5, 0xc3, 0x3a, 0x4d, 0x8a, 0x23, 0x7a, 0xef, 0xff, 0x37, 0xef, 0xf3, 0xbc, 0xa9, 0xb6, 0xae, 0xd7, 0x3a, 0x7b, 0xfd, 0x3e, 0x8e, 0x9b, 0xab, 0x44, 0x54, 0x60, 0x28, 0x6c, 0xbf, 0x15, 0x24, 0x4a, 0x56, 0x60, 0x7f, 0xa9, 0x7a, 0x28, 0x59, 0x2c, 0x8a, 0xd1, 0x7d, 0x6b, 0x00, 0xfd, 0xa5, 0xad, 0xbc, 0x19, 0x3f, 0xcb, 0x73, 0xe0, + /* (2^323)P */ 0xcf, 0x9e, 0x66, 0x06, 0x4d, 0x2b, 0xf5, 0x9c, 0xc2, 0x9d, 0x9e, 0xed, 0x5a, 0x5c, 0x2d, 0x00, 0xbf, 0x29, 0x90, 0x88, 0xe4, 0x5d, 0xfd, 0xe2, 0xf0, 0x38, 0xec, 0x4d, 0x26, 0xea, 0x54, 0xf0, 0x3c, 0x84, 0x10, 0x6a, 0xf9, 0x66, 0x9c, 0xe7, 0x21, 0xfd, 0x0f, 0xc7, 0x13, 0x50, 0x81, 0xb6, 0x50, 0xf9, 0x04, 0x7f, 0xa4, 0x37, 0x85, 0x14, + /* (2^324)P */ 0xdb, 0x87, 0x49, 0xc7, 0xa8, 0x39, 0x0c, 0x32, 0x98, 0x0c, 0xb9, 0x1a, 0x1b, 0x4d, 0xe0, 0x8a, 0x9a, 0x8e, 0x8f, 0xab, 0x5a, 0x17, 0x3d, 0x04, 0x21, 0xce, 0x3e, 0x2c, 0xf9, 0xa3, 0x97, 0xe4, 0x77, 0x95, 0x0e, 0xb6, 0xa5, 0x15, 0xad, 0x3a, 0x1e, 0x46, 0x53, 0x17, 0x09, 0x83, 0x71, 0x4e, 0x86, 0x38, 0xd5, 0x23, 0x44, 0x16, 0x8d, 0xc8, + /* (2^325)P */ 0x05, 0x5e, 0x99, 0x08, 0xbb, 0xc3, 0xc0, 0xb7, 0x6c, 0x12, 0xf2, 0xf3, 0xf4, 0x7c, 0x6a, 0x4d, 0x9e, 0xeb, 0x3d, 0xb9, 0x63, 0x94, 0xce, 0x81, 0xd8, 0x11, 0xcb, 0x55, 0x69, 0x4a, 0x20, 0x0b, 0x4c, 0x2e, 0x14, 0xb8, 0xd4, 0x6a, 0x7c, 0xf0, 0xed, 0xfc, 0x8f, 0xef, 0xa0, 0xeb, 0x6c, 0x01, 0xe2, 0xdc, 0x10, 0x22, 0xa2, 0x01, 0x85, 0x64, + /* (2^326)P */ 0x58, 0xe1, 0x9c, 0x27, 0x55, 0xc6, 0x25, 0xa6, 0x7d, 0x67, 0x88, 0x65, 0x99, 0x6c, 0xcb, 0xdb, 0x27, 0x4f, 0x44, 0x29, 0xf5, 0x4a, 0x23, 0x10, 0xbc, 0x03, 0x3f, 0x36, 0x1e, 0xef, 0xb0, 0xba, 0x75, 0xe8, 0x74, 0x5f, 0x69, 0x3e, 0x26, 0x40, 0xb4, 0x2f, 0xdc, 0x43, 0xbf, 0xa1, 0x8b, 0xbd, 0xca, 0x6e, 0xc1, 0x6e, 0x21, 0x79, 0xa0, 0xd0, + /* (2^327)P */ 0x78, 0x93, 0x4a, 0x2d, 0x22, 0x6e, 0x6e, 0x7d, 0x74, 0xd2, 0x66, 0x58, 0xce, 0x7b, 0x1d, 0x97, 0xb1, 0xf2, 0xda, 0x1c, 0x79, 0xfb, 0xba, 0xd1, 0xc0, 0xc5, 0x6e, 0xc9, 0x11, 0x89, 0xd2, 0x41, 0x8d, 0x70, 0xb9, 0xcc, 0xea, 0x6a, 0xb3, 0x45, 0xb6, 0x05, 0x2e, 0xf2, 0x17, 0xf1, 0x27, 0xb8, 0xed, 0x06, 0x1f, 0xdb, 0x9d, 0x1f, 0x69, 0x28, + /* (2^328)P */ 0x93, 0x12, 0xa8, 0x11, 0xe1, 0x92, 0x30, 0x8d, 0xac, 0xe1, 0x1c, 0x60, 0x7c, 0xed, 0x2d, 0x2e, 0xd3, 0x03, 0x5c, 0x9c, 0xc5, 0xbd, 0x64, 0x4a, 0x8c, 0xba, 0x76, 0xfe, 0xc6, 0xc1, 0xea, 0xc2, 0x4f, 0xbe, 0x70, 0x3d, 0x64, 0xcf, 0x8e, 0x18, 0xcb, 0xcd, 0x57, 0xa7, 0xf7, 0x36, 0xa9, 0x6b, 0x3e, 0xb8, 0x69, 0xee, 0x47, 0xa2, 0x7e, 0xb2, + /* (2^329)P */ 0x96, 0xaf, 0x3a, 0xf5, 0xed, 0xcd, 0xaf, 0xf7, 0x82, 0xaf, 0x59, 0x62, 0x0b, 0x36, 0x85, 0xf9, 0xaf, 0xd6, 0x38, 0xff, 0x87, 0x2e, 0x1d, 0x6c, 0x8b, 0xaf, 0x3b, 0xdf, 0x28, 0xa2, 0xd6, 0x4d, 0x80, 0x92, 0xc3, 0x0f, 0x34, 0xa8, 0xae, 0x69, 0x5d, 0x7b, 0x9d, 0xbc, 0xf5, 0xfd, 0x1d, 0xb1, 0x96, 0x55, 0x86, 0xe1, 0x5c, 0xb6, 0xac, 0xb9, + /* (2^330)P */ 0x50, 0x9e, 0x37, 0x28, 0x7d, 0xa8, 0x33, 0x63, 0xda, 0x3f, 0x20, 0x98, 0x0e, 0x09, 0xa8, 0x77, 0x3b, 0x7a, 0xfc, 0x16, 0x85, 0x44, 0x64, 0x77, 0x65, 0x68, 0x92, 0x41, 0xc6, 0x1f, 0xdf, 0x27, 0xf9, 0xec, 0xa0, 0x61, 0x22, 0xea, 0x19, 0xe7, 0x75, 0x8b, 0x4e, 0xe5, 0x0f, 0xb7, 0xf7, 0xd2, 0x53, 0xf4, 0xdd, 0x4a, 0xaa, 0x78, 0x40, 0xb7, + /* (2^331)P */ 0xd4, 0x89, 0xe3, 0x79, 0xba, 0xb6, 0xc3, 0xda, 0xe6, 0x78, 0x65, 0x7d, 0x6e, 0x22, 0x62, 0xb1, 0x3d, 0xea, 0x90, 0x84, 0x30, 0x5e, 0xd4, 0x39, 0x84, 0x78, 0xd9, 0x75, 0xd6, 0xce, 0x2a, 0x11, 0x29, 0x69, 0xa4, 0x5e, 0xaa, 0x2a, 0x98, 0x5a, 0xe5, 0x91, 0x8f, 0xb2, 0xfb, 0xda, 0x97, 0xe8, 0x83, 0x6f, 0x04, 0xb9, 0x5d, 0xaf, 0xe1, 0x9b, + /* (2^332)P */ 0x8b, 0xe4, 0xe1, 0x48, 0x9c, 0xc4, 0x83, 0x89, 0xdf, 0x65, 0xd3, 0x35, 0x55, 0x13, 0xf4, 0x1f, 0x36, 0x92, 0x33, 0x38, 0xcb, 0xed, 0x15, 0xe6, 0x60, 0x2d, 0x25, 0xf5, 0x36, 0x60, 0x3a, 0x37, 0x9b, 0x71, 0x9d, 0x42, 0xb0, 0x14, 0xc8, 0xba, 0x62, 0xa3, 0x49, 0xb0, 0x88, 0xc1, 0x72, 0x73, 0xdd, 0x62, 0x40, 0xa9, 0x62, 0x88, 0x99, 0xca, + /* (2^333)P */ 0x47, 0x7b, 0xea, 0xda, 0x46, 0x2f, 0x45, 0xc6, 0xe3, 0xb4, 0x4d, 0x8d, 0xac, 0x0b, 0x54, 0x22, 0x06, 0x31, 0x16, 0x66, 0x3e, 0xe4, 0x38, 0x12, 0xcd, 0xf3, 0xe7, 0x99, 0x37, 0xd9, 0x62, 0x24, 0x4b, 0x05, 0xf2, 0x58, 0xe6, 0x29, 0x4b, 0x0d, 0xf6, 0xc1, 0xba, 0xa0, 0x1e, 0x0f, 0xcb, 0x1f, 0xc6, 0x2b, 0x19, 0xfc, 0x82, 0x01, 0xd0, 0x86, + /* (2^334)P */ 0xa2, 0xae, 0x77, 0x20, 0xfb, 0xa8, 0x18, 0xb4, 0x61, 0xef, 0xe8, 0x52, 0x79, 0xbb, 0x86, 0x90, 0x5d, 0x2e, 0x76, 0xed, 0x66, 0x60, 0x5d, 0x00, 0xb5, 0xa4, 0x00, 0x40, 0x89, 0xec, 0xd1, 0xd2, 0x0d, 0x26, 0xb9, 0x30, 0xb2, 0xd2, 0xb8, 0xe8, 0x0e, 0x56, 0xf9, 0x67, 0x94, 0x2e, 0x62, 0xe1, 0x79, 0x48, 0x2b, 0xa9, 0xfa, 0xea, 0xdb, 0x28, + /* (2^335)P */ 0x35, 0xf1, 0xb0, 0x43, 0xbd, 0x27, 0xef, 0x18, 0x44, 0xa2, 0x04, 0xb4, 0x69, 0xa1, 0x97, 0x1f, 0x8c, 0x04, 0x82, 0x9b, 0x00, 0x6d, 0xf8, 0xbf, 0x7d, 0xc1, 0x5b, 0xab, 0xe8, 0xb2, 0x34, 0xbd, 0xaf, 0x7f, 0xb2, 0x0d, 0xf3, 0xed, 0xfc, 0x5b, 0x50, 0xee, 0xe7, 0x4a, 0x20, 0xd9, 0xf5, 0xc6, 0x9a, 0x97, 0x6d, 0x07, 0x2f, 0xb9, 0x31, 0x02, + /* (2^336)P */ 0xf9, 0x54, 0x4a, 0xc5, 0x61, 0x7e, 0x1d, 0xa6, 0x0e, 0x1a, 0xa8, 0xd3, 0x8c, 0x36, 0x7d, 0xf1, 0x06, 0xb1, 0xac, 0x93, 0xcd, 0xe9, 0x8f, 0x61, 0x6c, 0x5d, 0x03, 0x23, 0xdf, 0x85, 0x53, 0x39, 0x63, 0x5e, 0xeb, 0xf3, 0xd3, 0xd3, 0x75, 0x97, 0x9b, 0x62, 0x9b, 0x01, 0xb3, 0x19, 0xd8, 0x2b, 0x36, 0xf2, 0x2c, 0x2c, 0x6f, 0x36, 0xc6, 0x3c, + /* (2^337)P */ 0x05, 0x74, 0x43, 0x10, 0xb6, 0xb0, 0xf8, 0xbf, 0x02, 0x46, 0x9a, 0xee, 0xc1, 0xaf, 0xc1, 0xe5, 0x5a, 0x2e, 0xbb, 0xe1, 0xdc, 0xc6, 0xce, 0x51, 0x29, 0x50, 0xbf, 0x1b, 0xde, 0xff, 0xba, 0x4d, 0x8d, 0x8b, 0x7e, 0xe7, 0xbd, 0x5b, 0x8f, 0xbe, 0xe3, 0x75, 0x71, 0xff, 0x37, 0x05, 0x5a, 0x10, 0xeb, 0x54, 0x7e, 0x44, 0x72, 0x2c, 0xd4, 0xfc, + /* (2^338)P */ 0x03, 0x12, 0x1c, 0xb2, 0x08, 0x90, 0xa1, 0x2d, 0x50, 0xa0, 0xad, 0x7f, 0x8d, 0xa6, 0x97, 0xc1, 0xbd, 0xdc, 0xc3, 0xa7, 0xad, 0x31, 0xdf, 0xb8, 0x03, 0x84, 0xc3, 0xb9, 0x29, 0x3d, 0x92, 0x2e, 0xc3, 0x90, 0x07, 0xe8, 0xa7, 0xc7, 0xbc, 0x61, 0xe9, 0x3e, 0xa0, 0x35, 0xda, 0x1d, 0xab, 0x48, 0xfe, 0x50, 0xc9, 0x25, 0x59, 0x23, 0x69, 0x3f, + /* (2^339)P */ 0x8e, 0x91, 0xab, 0x6b, 0x91, 0x4f, 0x89, 0x76, 0x67, 0xad, 0xb2, 0x65, 0x9d, 0xad, 0x02, 0x36, 0xdc, 0xac, 0x96, 0x93, 0x97, 0x21, 0x14, 0xd0, 0xe8, 0x11, 0x60, 0x1e, 0xeb, 0x96, 0x06, 0xf2, 0x53, 0xf2, 0x6d, 0xb7, 0x93, 0x6f, 0x26, 0x91, 0x23, 0xe3, 0x34, 0x04, 0x92, 0x91, 0x37, 0x08, 0x50, 0xd6, 0x28, 0x09, 0x27, 0xa1, 0x0c, 0x00, + /* (2^340)P */ 0x1f, 0xbb, 0x21, 0x26, 0x33, 0xcb, 0xa4, 0xd1, 0xee, 0x85, 0xf9, 0xd9, 0x3c, 0x90, 0xc3, 0xd1, 0x26, 0xa2, 0x25, 0x93, 0x43, 0x61, 0xed, 0x91, 0x6e, 0x54, 0x03, 0x2e, 0x42, 0x9d, 0xf7, 0xa6, 0x02, 0x0f, 0x2f, 0x9c, 0x7a, 0x8d, 0x12, 0xc2, 0x18, 0xfc, 0x41, 0xff, 0x85, 0x26, 0x1a, 0x44, 0x55, 0x0b, 0x89, 0xab, 0x6f, 0x62, 0x33, 0x8c, + /* (2^341)P */ 0xe0, 0x3c, 0x5d, 0x70, 0x64, 0x87, 0x81, 0x35, 0xf2, 0x37, 0xa6, 0x24, 0x3e, 0xe0, 0x62, 0xd5, 0x71, 0xe7, 0x93, 0xfb, 0xac, 0xc3, 0xe7, 0xc7, 0x04, 0xe2, 0x70, 0xd3, 0x29, 0x5b, 0x21, 0xbf, 0xf4, 0x26, 0x5d, 0xf3, 0x95, 0xb4, 0x2a, 0x6a, 0x07, 0x55, 0xa6, 0x4b, 0x3b, 0x15, 0xf2, 0x25, 0x8a, 0x95, 0x3f, 0x63, 0x2f, 0x7a, 0x23, 0x96, + /* (2^342)P */ 0x0d, 0x3d, 0xd9, 0x13, 0xa7, 0xb3, 0x5e, 0x67, 0xf7, 0x02, 0x23, 0xee, 0x84, 0xff, 0x99, 0xda, 0xb9, 0x53, 0xf8, 0xf0, 0x0e, 0x39, 0x2f, 0x3c, 0x64, 0x34, 0xe3, 0x09, 0xfd, 0x2b, 0x33, 0xc7, 0xfe, 0x62, 0x2b, 0x84, 0xdf, 0x2b, 0xd2, 0x7c, 0x26, 0x01, 0x70, 0x66, 0x5b, 0x85, 0xc2, 0xbe, 0x88, 0x37, 0xf1, 0x30, 0xac, 0xb8, 0x76, 0xa3, + /* (2^343)P */ 0x6e, 0x01, 0xf0, 0x55, 0x35, 0xe4, 0xbd, 0x43, 0x62, 0x9d, 0xd6, 0x11, 0xef, 0x6f, 0xb8, 0x8c, 0xaa, 0x98, 0x87, 0xc6, 0x6d, 0xc4, 0xcc, 0x74, 0x92, 0x53, 0x4a, 0xdf, 0xe4, 0x08, 0x89, 0x17, 0xd0, 0x0f, 0xf4, 0x00, 0x60, 0x78, 0x08, 0x44, 0xb5, 0xda, 0x18, 0xed, 0x98, 0xc8, 0x61, 0x3d, 0x39, 0xdb, 0xcf, 0x1d, 0x49, 0x40, 0x65, 0x75, + /* (2^344)P */ 0x8e, 0x10, 0xae, 0x5f, 0x06, 0xd2, 0x95, 0xfd, 0x20, 0x16, 0x49, 0x5b, 0x57, 0xbe, 0x22, 0x8b, 0x43, 0xfb, 0xe6, 0xcc, 0x26, 0xa5, 0x5d, 0xd3, 0x68, 0xc5, 0xf9, 0x5a, 0x86, 0x24, 0x87, 0x27, 0x05, 0xfd, 0xe2, 0xff, 0xb3, 0xa3, 0x7b, 0x37, 0x59, 0xc5, 0x4e, 0x14, 0x94, 0xf9, 0x3b, 0xcb, 0x7c, 0xed, 0xca, 0x1d, 0xb2, 0xac, 0x05, 0x4a, + /* (2^345)P */ 0xf4, 0xd1, 0x81, 0xeb, 0x89, 0xbf, 0xfe, 0x1e, 0x41, 0x92, 0x29, 0xee, 0xe1, 0x43, 0xf5, 0x86, 0x1d, 0x2f, 0xbb, 0x1e, 0x84, 0x5d, 0x7b, 0x8d, 0xd5, 0xda, 0xee, 0x1e, 0x8a, 0xd0, 0x27, 0xf2, 0x60, 0x51, 0x59, 0x82, 0xf4, 0x84, 0x2b, 0x5b, 0x14, 0x2d, 0x81, 0x82, 0x3e, 0x2b, 0xb4, 0x6d, 0x51, 0x4f, 0xc5, 0xcb, 0xbf, 0x74, 0xe3, 0xb4, + /* (2^346)P */ 0x19, 0x2f, 0x22, 0xb3, 0x04, 0x5f, 0x81, 0xca, 0x05, 0x60, 0xb9, 0xaa, 0xee, 0x0e, 0x2f, 0x48, 0x38, 0xf9, 0x91, 0xb4, 0x66, 0xe4, 0x57, 0x28, 0x54, 0x10, 0xe9, 0x61, 0x9d, 0xd4, 0x90, 0x75, 0xb1, 0x39, 0x23, 0xb6, 0xfc, 0x82, 0xe0, 0xfa, 0xbb, 0x5c, 0x6e, 0xc3, 0x44, 0x13, 0x00, 0x83, 0x55, 0x9e, 0x8e, 0x10, 0x61, 0x81, 0x91, 0x04, + /* (2^347)P */ 0x5f, 0x2a, 0xd7, 0x81, 0xd9, 0x9c, 0xbb, 0x79, 0xbc, 0x62, 0x56, 0x98, 0x03, 0x5a, 0x18, 0x85, 0x2a, 0x9c, 0xd0, 0xfb, 0xd2, 0xb1, 0xaf, 0xef, 0x0d, 0x24, 0xc5, 0xfa, 0x39, 0xbb, 0x6b, 0xed, 0xa4, 0xdf, 0xe4, 0x87, 0xcd, 0x41, 0xd3, 0x72, 0x32, 0xc6, 0x28, 0x21, 0xb1, 0xba, 0x8b, 0xa3, 0x91, 0x79, 0x76, 0x22, 0x25, 0x10, 0x61, 0xd1, + /* (2^348)P */ 0x73, 0xb5, 0x32, 0x97, 0xdd, 0xeb, 0xdd, 0x22, 0x22, 0xf1, 0x33, 0x3c, 0x77, 0x56, 0x7d, 0x6b, 0x48, 0x2b, 0x05, 0x81, 0x03, 0x03, 0x91, 0x9a, 0xe3, 0x5e, 0xd4, 0xee, 0x3f, 0xf8, 0xbb, 0x50, 0x21, 0x32, 0x4c, 0x4a, 0x58, 0x49, 0xde, 0x0c, 0xde, 0x30, 0x82, 0x3d, 0x92, 0xf0, 0x6c, 0xcc, 0x32, 0x3e, 0xd2, 0x78, 0x8a, 0x6e, 0x2c, 0xd0, + /* (2^349)P */ 0xf0, 0xf7, 0xa1, 0x0b, 0xc1, 0x74, 0x85, 0xa8, 0xe9, 0xdd, 0x48, 0xa1, 0xc0, 0x16, 0xd8, 0x2b, 0x61, 0x08, 0xc2, 0x2b, 0x30, 0x26, 0x79, 0xce, 0x9e, 0xfd, 0x39, 0xd7, 0x81, 0xa4, 0x63, 0x8c, 0xd5, 0x74, 0xa0, 0x88, 0xfa, 0x03, 0x30, 0xe9, 0x7f, 0x2b, 0xc6, 0x02, 0xc9, 0x5e, 0xe4, 0xd5, 0x4d, 0x92, 0xd0, 0xf6, 0xf2, 0x5b, 0x79, 0x08, + /* (2^350)P */ 0x34, 0x89, 0x81, 0x43, 0xd1, 0x94, 0x2c, 0x10, 0x54, 0x9b, 0xa0, 0xe5, 0x44, 0xe8, 0xc2, 0x2f, 0x3e, 0x0e, 0x74, 0xae, 0xba, 0xe2, 0xac, 0x85, 0x6b, 0xd3, 0x5c, 0x97, 0xf7, 0x90, 0xf1, 0x12, 0xc0, 0x03, 0xc8, 0x1f, 0x37, 0x72, 0x8c, 0x9b, 0x9c, 0x17, 0x96, 0x9d, 0xc7, 0xbf, 0xa3, 0x3f, 0x44, 0x3d, 0x87, 0x81, 0xbd, 0x81, 0xa6, 0x5f, + /* (2^351)P */ 0xe4, 0xff, 0x78, 0x62, 0x82, 0x5b, 0x76, 0x58, 0xf5, 0x5b, 0xa6, 0xc4, 0x53, 0x11, 0x3b, 0x7b, 0xaa, 0x67, 0xf8, 0xea, 0x3b, 0x5d, 0x9a, 0x2e, 0x04, 0xeb, 0x4a, 0x24, 0xfb, 0x56, 0xf0, 0xa8, 0xd4, 0x14, 0xed, 0x0f, 0xfd, 0xc5, 0x26, 0x17, 0x2a, 0xf0, 0xb9, 0x13, 0x8c, 0xbd, 0x65, 0x14, 0x24, 0x95, 0x27, 0x12, 0x63, 0x2a, 0x09, 0x18, + /* (2^352)P */ 0xe1, 0x5c, 0xe7, 0xe0, 0x00, 0x6a, 0x96, 0xf2, 0x49, 0x6a, 0x39, 0xa5, 0xe0, 0x17, 0x79, 0x4a, 0x63, 0x07, 0x62, 0x09, 0x61, 0x1b, 0x6e, 0xa9, 0xb5, 0x62, 0xb7, 0xde, 0xdf, 0x80, 0x4c, 0x5a, 0x99, 0x73, 0x59, 0x9d, 0xfb, 0xb1, 0x5e, 0xbe, 0xb8, 0xb7, 0x63, 0x93, 0xe8, 0xad, 0x5e, 0x1f, 0xae, 0x59, 0x1c, 0xcd, 0xb4, 0xc2, 0xb3, 0x8a, + /* (2^353)P */ 0x78, 0x53, 0xa1, 0x4c, 0x70, 0x9c, 0x63, 0x7e, 0xb3, 0x12, 0x40, 0x5f, 0xbb, 0x23, 0xa7, 0xf7, 0x77, 0x96, 0x5b, 0x4d, 0x91, 0x10, 0x52, 0x85, 0x9e, 0xa5, 0x38, 0x0b, 0xfd, 0x25, 0x01, 0x4b, 0xfa, 0x4d, 0xd3, 0x3f, 0x78, 0x74, 0x42, 0xff, 0x62, 0x2d, 0x27, 0xdc, 0x9d, 0xd1, 0x29, 0x76, 0x2e, 0x78, 0xb3, 0x35, 0xfa, 0x15, 0xd5, 0x38, + /* (2^354)P */ 0x8b, 0xc7, 0x43, 0xce, 0xf0, 0x5e, 0xf1, 0x0d, 0x02, 0x38, 0xe8, 0x82, 0xc9, 0x25, 0xad, 0x2d, 0x27, 0xa4, 0x54, 0x18, 0xb2, 0x30, 0x73, 0xa4, 0x41, 0x08, 0xe4, 0x86, 0xe6, 0x8c, 0xe9, 0x2a, 0x34, 0xb3, 0xd6, 0x61, 0x8f, 0x66, 0x26, 0x08, 0xb6, 0x06, 0x33, 0xaa, 0x12, 0xac, 0x72, 0xec, 0x2e, 0x52, 0xa3, 0x25, 0x3e, 0xd7, 0x62, 0xe8, + /* (2^355)P */ 0xc4, 0xbb, 0x89, 0xc8, 0x40, 0xcc, 0x84, 0xec, 0x4a, 0xd9, 0xc4, 0x55, 0x78, 0x00, 0xcf, 0xd8, 0xe9, 0x24, 0x59, 0xdc, 0x5e, 0xf0, 0x66, 0xa1, 0x83, 0xae, 0x97, 0x18, 0xc5, 0x54, 0x27, 0xa2, 0x21, 0x52, 0x03, 0x31, 0x5b, 0x11, 0x67, 0xf6, 0x12, 0x00, 0x87, 0x2f, 0xff, 0x59, 0x70, 0x8f, 0x6d, 0x71, 0xab, 0xab, 0x24, 0xb8, 0xba, 0x35, + /* (2^356)P */ 0x69, 0x43, 0xa7, 0x14, 0x06, 0x96, 0xe9, 0xc2, 0xe3, 0x2b, 0x45, 0x22, 0xc0, 0xd0, 0x2f, 0x34, 0xd1, 0x01, 0x99, 0xfc, 0x99, 0x38, 0xa1, 0x25, 0x2e, 0x59, 0x6c, 0x27, 0xc9, 0xeb, 0x7b, 0xdc, 0x4e, 0x26, 0x68, 0xba, 0xfa, 0xec, 0x02, 0x05, 0x64, 0x80, 0x30, 0x20, 0x5c, 0x26, 0x7f, 0xaf, 0x95, 0x17, 0x3d, 0x5c, 0x9e, 0x96, 0x96, 0xaf, + /* (2^357)P */ 0xa6, 0xba, 0x21, 0x29, 0x32, 0xe2, 0x98, 0xde, 0x9b, 0x6d, 0x0b, 0x44, 0x91, 0xa8, 0x3e, 0xd4, 0xb8, 0x04, 0x6c, 0xf6, 0x04, 0x39, 0xbd, 0x52, 0x05, 0x15, 0x27, 0x78, 0x8e, 0x55, 0xac, 0x79, 0xc5, 0xe6, 0x00, 0x7f, 0x90, 0xa2, 0xdd, 0x07, 0x13, 0xe0, 0x24, 0x70, 0x5c, 0x0f, 0x4d, 0xa9, 0xf9, 0xae, 0xcb, 0x34, 0x10, 0x9d, 0x89, 0x9d, + /* (2^358)P */ 0x12, 0xe0, 0xb3, 0x9f, 0xc4, 0x96, 0x1d, 0xcf, 0xed, 0x99, 0x64, 0x28, 0x8d, 0xc7, 0x31, 0x82, 0xee, 0x5e, 0x75, 0x48, 0xff, 0x3a, 0xf2, 0x09, 0x34, 0x03, 0x93, 0x52, 0x19, 0xb2, 0xc5, 0x81, 0x93, 0x45, 0x5e, 0x59, 0x21, 0x2b, 0xec, 0x89, 0xba, 0x36, 0x6e, 0xf9, 0x82, 0x75, 0x7e, 0x82, 0x3f, 0xaa, 0xe2, 0xe3, 0x3b, 0x94, 0xfd, 0x98, + /* (2^359)P */ 0x7c, 0xdb, 0x75, 0x31, 0x61, 0xfb, 0x15, 0x28, 0x94, 0xd7, 0xc3, 0x5a, 0xa9, 0xa1, 0x0a, 0x66, 0x0f, 0x2b, 0x13, 0x3e, 0x42, 0xb5, 0x28, 0x3a, 0xca, 0x83, 0xf3, 0x61, 0x22, 0xf4, 0x40, 0xc5, 0xdf, 0xe7, 0x31, 0x9f, 0x7e, 0x51, 0x75, 0x06, 0x9d, 0x51, 0xc8, 0xe7, 0x9f, 0xc3, 0x71, 0x4f, 0x3d, 0x5b, 0xfb, 0xe9, 0x8e, 0x08, 0x40, 0x8e, + /* (2^360)P */ 0xf7, 0x31, 0xad, 0x50, 0x5d, 0x25, 0x93, 0x73, 0x68, 0xf6, 0x7c, 0x89, 0x5a, 0x3d, 0x9f, 0x9b, 0x05, 0x82, 0xe7, 0x70, 0x4b, 0x19, 0xaa, 0xcf, 0xff, 0xde, 0x50, 0x8f, 0x2f, 0x69, 0xd3, 0xf0, 0x99, 0x51, 0x6b, 0x9d, 0xb6, 0x56, 0x6f, 0xf8, 0x4c, 0x74, 0x8b, 0x4c, 0x91, 0xf9, 0xa9, 0xb1, 0x3e, 0x07, 0xdf, 0x0b, 0x27, 0x8a, 0xb1, 0xed, + /* (2^361)P */ 0xfb, 0x67, 0xd9, 0x48, 0xd2, 0xe4, 0x44, 0x9b, 0x43, 0x15, 0x8a, 0xeb, 0x00, 0x53, 0xad, 0x25, 0xc7, 0x7e, 0x19, 0x30, 0x87, 0xb7, 0xd5, 0x5f, 0x04, 0xf8, 0xaa, 0xdd, 0x57, 0xae, 0x34, 0x75, 0xe2, 0x84, 0x4b, 0x54, 0x60, 0x37, 0x95, 0xe4, 0xd3, 0xec, 0xac, 0xef, 0x47, 0x31, 0xa3, 0xc8, 0x31, 0x22, 0xdb, 0x26, 0xe7, 0x6a, 0xb5, 0xad, + /* (2^362)P */ 0x44, 0x09, 0x5c, 0x95, 0xe4, 0x72, 0x3c, 0x1a, 0xd1, 0xac, 0x42, 0x51, 0x99, 0x6f, 0xfa, 0x1f, 0xf2, 0x22, 0xbe, 0xff, 0x7b, 0x66, 0xf5, 0x6c, 0xb3, 0x66, 0xc7, 0x4d, 0x78, 0x31, 0x83, 0x80, 0xf5, 0x41, 0xe9, 0x7f, 0xbe, 0xf7, 0x23, 0x49, 0x6b, 0x84, 0x4e, 0x7e, 0x47, 0x07, 0x6e, 0x74, 0xdf, 0xe5, 0x9d, 0x9e, 0x56, 0x2a, 0xc0, 0xbc, + /* (2^363)P */ 0xac, 0x10, 0x80, 0x8c, 0x7c, 0xfa, 0x83, 0xdf, 0xb3, 0xd0, 0xc4, 0xbe, 0xfb, 0x9f, 0xac, 0xc9, 0xc3, 0x40, 0x95, 0x0b, 0x09, 0x23, 0xda, 0x63, 0x67, 0xcf, 0xe7, 0x9f, 0x7d, 0x7b, 0x6b, 0xe2, 0xe6, 0x6d, 0xdb, 0x87, 0x9e, 0xa6, 0xff, 0x6d, 0xab, 0xbd, 0xfb, 0x54, 0x84, 0x68, 0xcf, 0x89, 0xf1, 0xd0, 0xe2, 0x85, 0x61, 0xdc, 0x22, 0xd1, + /* (2^364)P */ 0xa8, 0x48, 0xfb, 0x8c, 0x6a, 0x63, 0x01, 0x72, 0x43, 0x43, 0xeb, 0x21, 0xa3, 0x00, 0x8a, 0xc0, 0x87, 0x51, 0x9e, 0x86, 0x75, 0x16, 0x79, 0xf9, 0x6b, 0x11, 0x80, 0x62, 0xc2, 0x9d, 0xb8, 0x8c, 0x30, 0x8e, 0x8d, 0x03, 0x52, 0x7e, 0x31, 0x59, 0x38, 0xf9, 0x25, 0xc7, 0x0f, 0xc7, 0xa8, 0x2b, 0x5c, 0x80, 0xfa, 0x90, 0xa2, 0x63, 0xca, 0xe7, + /* (2^365)P */ 0xf1, 0x5d, 0xb5, 0xd9, 0x20, 0x10, 0x7d, 0x0f, 0xc5, 0x50, 0x46, 0x07, 0xff, 0x02, 0x75, 0x2b, 0x4a, 0xf3, 0x39, 0x91, 0x72, 0xb7, 0xd5, 0xcc, 0x38, 0xb8, 0xe7, 0x36, 0x26, 0x5e, 0x11, 0x97, 0x25, 0xfb, 0x49, 0x68, 0xdc, 0xb4, 0x46, 0x87, 0x5c, 0xc2, 0x7f, 0xaa, 0x7d, 0x36, 0x23, 0xa6, 0xc6, 0x53, 0xec, 0xbc, 0x57, 0x47, 0xc1, 0x2b, + /* (2^366)P */ 0x25, 0x5d, 0x7d, 0x95, 0xda, 0x0b, 0x8f, 0x78, 0x1e, 0x19, 0x09, 0xfa, 0x67, 0xe0, 0xa0, 0x17, 0x24, 0x76, 0x6c, 0x30, 0x1f, 0x62, 0x3d, 0xbe, 0x45, 0x70, 0xcc, 0xb6, 0x1e, 0x68, 0x06, 0x25, 0x68, 0x16, 0x1a, 0x33, 0x3f, 0x90, 0xc7, 0x78, 0x2d, 0x98, 0x3c, 0x2f, 0xb9, 0x2d, 0x94, 0x0b, 0xfb, 0x49, 0x56, 0x30, 0xd7, 0xc1, 0xe6, 0x48, + /* (2^367)P */ 0x7a, 0xd1, 0xe0, 0x8e, 0x67, 0xfc, 0x0b, 0x50, 0x1f, 0x84, 0x98, 0xfa, 0xaf, 0xae, 0x2e, 0x31, 0x27, 0xcf, 0x3f, 0xf2, 0x6e, 0x8d, 0x81, 0x8f, 0xd2, 0x5f, 0xde, 0xd3, 0x5e, 0xe9, 0xe7, 0x13, 0x48, 0x83, 0x5a, 0x4e, 0x84, 0xd1, 0x58, 0xcf, 0x6b, 0x84, 0xdf, 0x13, 0x1d, 0x91, 0x85, 0xe8, 0xcb, 0x29, 0x79, 0xd2, 0xca, 0xac, 0x6a, 0x93, + /* (2^368)P */ 0x53, 0x82, 0xce, 0x61, 0x96, 0x88, 0x6f, 0xe1, 0x4a, 0x4c, 0x1e, 0x30, 0x73, 0xe8, 0x74, 0xde, 0x40, 0x2b, 0xe0, 0xc4, 0xb5, 0xd8, 0x7c, 0x15, 0xe7, 0xe1, 0xb1, 0xe0, 0xd6, 0x88, 0xb1, 0x6a, 0x57, 0x19, 0x6a, 0x22, 0x66, 0x57, 0xf6, 0x8d, 0xfd, 0xc0, 0xf2, 0xa3, 0x03, 0x56, 0xfb, 0x2e, 0x75, 0x5e, 0xc7, 0x8e, 0x22, 0x96, 0x5c, 0x06, + /* (2^369)P */ 0x98, 0x7e, 0xbf, 0x3e, 0xbf, 0x24, 0x9d, 0x15, 0xd3, 0xf6, 0xd3, 0xd2, 0xf0, 0x11, 0xf2, 0xdb, 0x36, 0x23, 0x38, 0xf7, 0x1d, 0x71, 0x20, 0xd2, 0x54, 0x7f, 0x1e, 0x24, 0x8f, 0xe2, 0xaa, 0xf7, 0x3f, 0x6b, 0x41, 0x4e, 0xdc, 0x0e, 0xec, 0xe8, 0x35, 0x0a, 0x08, 0x6d, 0x89, 0x5b, 0x32, 0x91, 0x01, 0xb6, 0xe0, 0x2c, 0xc6, 0xa1, 0xbe, 0xb4, + /* (2^370)P */ 0x29, 0xf2, 0x1e, 0x1c, 0xdc, 0x68, 0x8a, 0x43, 0x87, 0x2c, 0x48, 0xb3, 0x9e, 0xed, 0xd2, 0x82, 0x46, 0xac, 0x2f, 0xef, 0x93, 0x34, 0x37, 0xca, 0x64, 0x8d, 0xc9, 0x06, 0x90, 0xbb, 0x78, 0x0a, 0x3c, 0x4c, 0xcf, 0x35, 0x7a, 0x0f, 0xf7, 0xa7, 0xf4, 0x2f, 0x45, 0x69, 0x3f, 0xa9, 0x5d, 0xce, 0x7b, 0x8a, 0x84, 0xc3, 0xae, 0xf4, 0xda, 0xd5, + /* (2^371)P */ 0xca, 0xba, 0x95, 0x43, 0x05, 0x7b, 0x06, 0xd9, 0x5c, 0x0a, 0x18, 0x5f, 0x6a, 0x6a, 0xce, 0xc0, 0x3d, 0x95, 0x51, 0x0e, 0x1a, 0xbe, 0x85, 0x7a, 0xf2, 0x69, 0xec, 0xc0, 0x8c, 0xca, 0xa3, 0x32, 0x0a, 0x76, 0x50, 0xc6, 0x76, 0x61, 0x00, 0x89, 0xbf, 0x6e, 0x0f, 0x48, 0x90, 0x31, 0x93, 0xec, 0x34, 0x70, 0xf0, 0xc3, 0x8d, 0xf0, 0x0f, 0xb5, + /* (2^372)P */ 0xbe, 0x23, 0xe2, 0x18, 0x99, 0xf1, 0xed, 0x8a, 0xf6, 0xc9, 0xac, 0xb8, 0x1e, 0x9a, 0x3c, 0x15, 0xae, 0xd7, 0x6d, 0xb3, 0x04, 0xee, 0x5b, 0x0d, 0x1e, 0x79, 0xb7, 0xf9, 0xf9, 0x8d, 0xad, 0xf9, 0x8f, 0x5a, 0x6a, 0x7b, 0xd7, 0x9b, 0xca, 0x62, 0xfe, 0x9c, 0xc0, 0x6f, 0x6d, 0x9d, 0x76, 0xa3, 0x69, 0xb9, 0x4c, 0xa1, 0xc4, 0x0c, 0x76, 0xaa, + /* (2^373)P */ 0x1c, 0x06, 0xfe, 0x3f, 0x45, 0x70, 0xcd, 0x97, 0xa9, 0xa2, 0xb1, 0xd3, 0xf2, 0xa5, 0x0c, 0x49, 0x2c, 0x75, 0x73, 0x1f, 0xcf, 0x00, 0xaf, 0xd5, 0x2e, 0xde, 0x0d, 0x8f, 0x8f, 0x7c, 0xc4, 0x58, 0xce, 0xd4, 0xf6, 0x24, 0x19, 0x2e, 0xd8, 0xc5, 0x1d, 0x1a, 0x3f, 0xb8, 0x4f, 0xbc, 0x7d, 0xbd, 0x68, 0xe3, 0x81, 0x98, 0x1b, 0xa8, 0xc9, 0xd9, + /* (2^374)P */ 0x39, 0x95, 0x78, 0x24, 0x6c, 0x38, 0xe4, 0xe7, 0xd0, 0x8d, 0xb9, 0x38, 0x71, 0x5e, 0xc1, 0x62, 0x80, 0xcc, 0xcb, 0x8c, 0x97, 0xca, 0xf8, 0xb9, 0xd9, 0x9c, 0xce, 0x72, 0x7b, 0x70, 0xee, 0x5f, 0xea, 0xa2, 0xdf, 0xa9, 0x14, 0x10, 0xf9, 0x6e, 0x59, 0x9f, 0x9c, 0xe0, 0x0c, 0xb2, 0x07, 0x97, 0xcd, 0xd2, 0x89, 0x16, 0xfd, 0x9c, 0xa8, 0xa5, + /* (2^375)P */ 0x5a, 0x61, 0xf1, 0x59, 0x7c, 0x38, 0xda, 0xe2, 0x85, 0x99, 0x68, 0xe9, 0xc9, 0xf7, 0x32, 0x7e, 0xc4, 0xca, 0xb7, 0x11, 0x08, 0x69, 0x2b, 0x66, 0x02, 0xf7, 0x2e, 0x18, 0xc3, 0x8e, 0xe1, 0xf9, 0xc5, 0x19, 0x9a, 0x0a, 0x9c, 0x07, 0xba, 0xc7, 0x9c, 0x03, 0x34, 0x89, 0x99, 0x67, 0x0b, 0x16, 0x4b, 0x07, 0x36, 0x16, 0x36, 0x2c, 0xe2, 0xa1, + /* (2^376)P */ 0x70, 0x10, 0x91, 0x27, 0xa8, 0x24, 0x8e, 0x29, 0x04, 0x6f, 0x79, 0x1f, 0xd3, 0xa5, 0x68, 0xd3, 0x0b, 0x7d, 0x56, 0x4d, 0x14, 0x57, 0x7b, 0x2e, 0x00, 0x9f, 0x9a, 0xfd, 0x6c, 0x63, 0x18, 0x81, 0xdb, 0x9d, 0xb7, 0xd7, 0xa4, 0x1e, 0xe8, 0x40, 0xf1, 0x4c, 0xa3, 0x01, 0xd5, 0x4b, 0x75, 0xea, 0xdd, 0x97, 0xfd, 0x5b, 0xb2, 0x66, 0x6a, 0x24, + /* (2^377)P */ 0x72, 0x11, 0xfe, 0x73, 0x1b, 0xd3, 0xea, 0x7f, 0x93, 0x15, 0x15, 0x05, 0xfe, 0x40, 0xe8, 0x28, 0xd8, 0x50, 0x47, 0x66, 0xfa, 0xb7, 0xb5, 0x04, 0xba, 0x35, 0x1e, 0x32, 0x9f, 0x5f, 0x32, 0xba, 0x3d, 0xd1, 0xed, 0x9a, 0x76, 0xca, 0xa3, 0x3e, 0x77, 0xd8, 0xd8, 0x7c, 0x5f, 0x68, 0x42, 0xb5, 0x86, 0x7f, 0x3b, 0xc9, 0xc1, 0x89, 0x64, 0xda, + /* (2^378)P */ 0xd5, 0xd4, 0x17, 0x31, 0xfc, 0x6a, 0xfd, 0xb8, 0xe8, 0xe5, 0x3e, 0x39, 0x06, 0xe4, 0xd1, 0x90, 0x2a, 0xca, 0xf6, 0x54, 0x6c, 0x1b, 0x2f, 0x49, 0x97, 0xb1, 0x2a, 0x82, 0x43, 0x3d, 0x1f, 0x8b, 0xe2, 0x47, 0xc5, 0x24, 0xa8, 0xd5, 0x53, 0x29, 0x7d, 0xc6, 0x87, 0xa6, 0x25, 0x3a, 0x64, 0xdd, 0x71, 0x08, 0x9e, 0xcd, 0xe9, 0x45, 0xc7, 0xba, + /* (2^379)P */ 0x37, 0x72, 0x6d, 0x13, 0x7a, 0x8d, 0x04, 0x31, 0xe6, 0xe3, 0x9e, 0x36, 0x71, 0x3e, 0xc0, 0x1e, 0xe3, 0x71, 0xd3, 0x49, 0x4e, 0x4a, 0x36, 0x42, 0x68, 0x68, 0x61, 0xc7, 0x3c, 0xdb, 0x81, 0x49, 0xf7, 0x91, 0x4d, 0xea, 0x4c, 0x4f, 0x98, 0xc6, 0x7e, 0x60, 0x84, 0x4b, 0x6a, 0x37, 0xbb, 0x52, 0xf7, 0xce, 0x02, 0xe4, 0xad, 0xd1, 0x3c, 0xa7, + /* (2^380)P */ 0x51, 0x06, 0x2d, 0xf8, 0x08, 0xe8, 0xf1, 0x0c, 0xe5, 0xa9, 0xac, 0x29, 0x73, 0x3b, 0xed, 0x98, 0x5f, 0x55, 0x08, 0x38, 0x51, 0x44, 0x36, 0x5d, 0xea, 0xc3, 0xb8, 0x0e, 0xa0, 0x4f, 0xd2, 0x79, 0xe9, 0x98, 0xc3, 0xf5, 0x00, 0xb9, 0x26, 0x27, 0x42, 0xa8, 0x07, 0xc1, 0x12, 0x31, 0xc1, 0xc3, 0x3c, 0x3b, 0x7a, 0x72, 0x97, 0xc2, 0x70, 0x3a, + /* (2^381)P */ 0xf4, 0xb2, 0xba, 0x32, 0xbc, 0xa9, 0x2f, 0x87, 0xc7, 0x3c, 0x45, 0xcd, 0xae, 0xe2, 0x13, 0x6d, 0x3a, 0xf2, 0xf5, 0x66, 0x97, 0x29, 0xaf, 0x53, 0x9f, 0xda, 0xea, 0x14, 0xdf, 0x04, 0x98, 0x19, 0x95, 0x9e, 0x2a, 0x00, 0x5c, 0x9d, 0x1d, 0xf0, 0x39, 0x23, 0xff, 0xfc, 0xca, 0x36, 0xb7, 0xde, 0xdf, 0x37, 0x78, 0x52, 0x21, 0xfa, 0x19, 0x10, + /* (2^382)P */ 0x50, 0x20, 0x73, 0x74, 0x62, 0x21, 0xf2, 0xf7, 0x9b, 0x66, 0x85, 0x34, 0x74, 0xd4, 0x9d, 0x60, 0xd7, 0xbc, 0xc8, 0x46, 0x3b, 0xb8, 0x80, 0x42, 0x15, 0x0a, 0x6c, 0x35, 0x1a, 0x69, 0xf0, 0x1d, 0x4b, 0x29, 0x54, 0x5a, 0x9a, 0x48, 0xec, 0x9f, 0x37, 0x74, 0x91, 0xd0, 0xd1, 0x9e, 0x00, 0xc2, 0x76, 0x56, 0xd6, 0xa0, 0x15, 0x14, 0x83, 0x59, + /* (2^383)P */ 0xc2, 0xf8, 0x22, 0x20, 0x23, 0x07, 0xbd, 0x1d, 0x6f, 0x1e, 0x8c, 0x56, 0x06, 0x6a, 0x4b, 0x9f, 0xe2, 0xa9, 0x92, 0x46, 0x4b, 0x46, 0x59, 0xd7, 0xe1, 0xda, 0x14, 0x98, 0x07, 0x65, 0x7e, 0x28, 0x20, 0xf2, 0x9d, 0x4f, 0x36, 0x5c, 0x92, 0xe0, 0x9d, 0xfe, 0x3e, 0xda, 0xe4, 0x47, 0x19, 0x3c, 0x00, 0x7f, 0x22, 0xf2, 0x9e, 0x51, 0xae, 0x4d, + /* (2^384)P */ 0xbe, 0x8c, 0x1b, 0x10, 0xb6, 0xad, 0xcc, 0xcc, 0xd8, 0x5e, 0x21, 0xa6, 0xfb, 0xf1, 0xf6, 0xbd, 0x0a, 0x24, 0x67, 0xb4, 0x57, 0x7a, 0xbc, 0xe8, 0xe9, 0xff, 0xee, 0x0a, 0x1f, 0xee, 0xbd, 0xc8, 0x44, 0xed, 0x2b, 0xbb, 0x55, 0x1f, 0xdd, 0x7c, 0xb3, 0xeb, 0x3f, 0x63, 0xa1, 0x28, 0x91, 0x21, 0xab, 0x71, 0xc6, 0x4c, 0xd0, 0xe9, 0xb0, 0x21, + /* (2^385)P */ 0xad, 0xc9, 0x77, 0x2b, 0xee, 0x89, 0xa4, 0x7b, 0xfd, 0xf9, 0xf6, 0x14, 0xe4, 0xed, 0x1a, 0x16, 0x9b, 0x78, 0x41, 0x43, 0xa8, 0x83, 0x72, 0x06, 0x2e, 0x7c, 0xdf, 0xeb, 0x7e, 0xdd, 0xd7, 0x8b, 0xea, 0x9a, 0x2b, 0x03, 0xba, 0x57, 0xf3, 0xf1, 0xd9, 0xe5, 0x09, 0xc5, 0x98, 0x61, 0x1c, 0x51, 0x6d, 0x5d, 0x6e, 0xfb, 0x5e, 0x95, 0x9f, 0xb5, + /* (2^386)P */ 0x23, 0xe2, 0x1e, 0x95, 0xa3, 0x5e, 0x42, 0x10, 0xc7, 0xc3, 0x70, 0xbf, 0x4b, 0x6b, 0x83, 0x36, 0x93, 0xb7, 0x68, 0x47, 0x88, 0x3a, 0x10, 0x88, 0x48, 0x7f, 0x8c, 0xae, 0x54, 0x10, 0x02, 0xa4, 0x52, 0x8f, 0x8d, 0xf7, 0x26, 0x4f, 0x50, 0xc3, 0x6a, 0xe2, 0x4e, 0x3b, 0x4c, 0xb9, 0x8a, 0x14, 0x15, 0x6d, 0x21, 0x29, 0xb3, 0x6e, 0x4e, 0xd0, + /* (2^387)P */ 0x4c, 0x8a, 0x18, 0x3f, 0xb7, 0x20, 0xfd, 0x3e, 0x54, 0xca, 0x68, 0x3c, 0xea, 0x6f, 0xf4, 0x6b, 0xa2, 0xbd, 0x01, 0xbd, 0xfe, 0x08, 0xa8, 0xd8, 0xc2, 0x20, 0x36, 0x05, 0xcd, 0xe9, 0xf3, 0x9e, 0xfa, 0x85, 0x66, 0x8f, 0x4b, 0x1d, 0x8c, 0x64, 0x4f, 0xb8, 0xc6, 0x0f, 0x5b, 0x57, 0xd8, 0x24, 0x19, 0x5a, 0x14, 0x4b, 0x92, 0xd3, 0x96, 0xbc, + /* (2^388)P */ 0xa9, 0x3f, 0xc9, 0x6c, 0xca, 0x64, 0x1e, 0x6f, 0xdf, 0x65, 0x7f, 0x9a, 0x47, 0x6b, 0x8a, 0x60, 0x31, 0xa6, 0x06, 0xac, 0x69, 0x30, 0xe6, 0xea, 0x63, 0x42, 0x26, 0x5f, 0xdb, 0xd0, 0xf2, 0x8e, 0x34, 0x0a, 0x3a, 0xeb, 0xf3, 0x79, 0xc8, 0xb7, 0x60, 0x56, 0x5c, 0x37, 0x95, 0x71, 0xf8, 0x7f, 0x49, 0x3e, 0x9e, 0x01, 0x26, 0x1e, 0x80, 0x9f, + /* (2^389)P */ 0xf8, 0x16, 0x9a, 0xaa, 0xb0, 0x28, 0xb5, 0x8e, 0xd0, 0x60, 0xe5, 0x26, 0xa9, 0x47, 0xc4, 0x5c, 0xa9, 0x39, 0xfe, 0x0a, 0xd8, 0x07, 0x2b, 0xb3, 0xce, 0xf1, 0xea, 0x1a, 0xf4, 0x7b, 0x98, 0x31, 0x3d, 0x13, 0x29, 0x80, 0xe8, 0x0d, 0xcf, 0x56, 0x39, 0x86, 0x50, 0x0c, 0xb3, 0x18, 0xf4, 0xc5, 0xca, 0xf2, 0x6f, 0xcd, 0x8d, 0xd5, 0x02, 0xb0, + /* (2^390)P */ 0xbf, 0x39, 0x3f, 0xac, 0x6d, 0x1a, 0x6a, 0xe4, 0x42, 0x24, 0xd6, 0x41, 0x9d, 0xb9, 0x5b, 0x46, 0x73, 0x93, 0x76, 0xaa, 0xb7, 0x37, 0x36, 0xa6, 0x09, 0xe5, 0x04, 0x3b, 0x66, 0xc4, 0x29, 0x3e, 0x41, 0xc2, 0xcb, 0xe5, 0x17, 0xd7, 0x34, 0x67, 0x1d, 0x2c, 0x12, 0xec, 0x24, 0x7a, 0x40, 0xa2, 0x45, 0x41, 0xf0, 0x75, 0xed, 0x43, 0x30, 0xc9, + /* (2^391)P */ 0x80, 0xf6, 0x47, 0x5b, 0xad, 0x54, 0x02, 0xbc, 0xdd, 0xa4, 0xb2, 0xd7, 0x42, 0x95, 0xf2, 0x0d, 0x1b, 0xef, 0x37, 0xa7, 0xb4, 0x34, 0x04, 0x08, 0x71, 0x1b, 0xd3, 0xdf, 0xa1, 0xf0, 0x2b, 0xfa, 0xc0, 0x1f, 0xf3, 0x44, 0xb5, 0xc6, 0x47, 0x3d, 0x65, 0x67, 0x45, 0x4d, 0x2f, 0xde, 0x52, 0x73, 0xfc, 0x30, 0x01, 0x6b, 0xc1, 0x03, 0xd8, 0xd7, + /* (2^392)P */ 0x1c, 0x67, 0x55, 0x3e, 0x01, 0x17, 0x0f, 0x3e, 0xe5, 0x34, 0x58, 0xfc, 0xcb, 0x71, 0x24, 0x74, 0x5d, 0x36, 0x1e, 0x89, 0x2a, 0x63, 0xf8, 0xf8, 0x9f, 0x50, 0x9f, 0x32, 0x92, 0x29, 0xd8, 0x1a, 0xec, 0x76, 0x57, 0x6c, 0x67, 0x12, 0x6a, 0x6e, 0xef, 0x97, 0x1f, 0xc3, 0x77, 0x60, 0x3c, 0x22, 0xcb, 0xc7, 0x04, 0x1a, 0x89, 0x2d, 0x10, 0xa6, + /* (2^393)P */ 0x12, 0xf5, 0xa9, 0x26, 0x16, 0xd9, 0x3c, 0x65, 0x5d, 0x83, 0xab, 0xd1, 0x70, 0x6b, 0x1c, 0xdb, 0xe7, 0x86, 0x0d, 0xfb, 0xe7, 0xf8, 0x2a, 0x58, 0x6e, 0x7a, 0x66, 0x13, 0x53, 0x3a, 0x6f, 0x8d, 0x43, 0x5f, 0x14, 0x23, 0x14, 0xff, 0x3d, 0x52, 0x7f, 0xee, 0xbd, 0x7a, 0x34, 0x8b, 0x35, 0x24, 0xc3, 0x7a, 0xdb, 0xcf, 0x22, 0x74, 0x9a, 0x8f, + /* (2^394)P */ 0xdb, 0x20, 0xfc, 0xe5, 0x39, 0x4e, 0x7d, 0x78, 0xee, 0x0b, 0xbf, 0x1d, 0x80, 0xd4, 0x05, 0x4f, 0xb9, 0xd7, 0x4e, 0x94, 0x88, 0x9a, 0x50, 0x78, 0x1a, 0x70, 0x8c, 0xcc, 0x25, 0xb6, 0x61, 0x09, 0xdc, 0x7b, 0xea, 0x3f, 0x7f, 0xea, 0x2a, 0x0d, 0x47, 0x1c, 0x8e, 0xa6, 0x5b, 0xd2, 0xa3, 0x61, 0x93, 0x3c, 0x68, 0x9f, 0x8b, 0xea, 0xb0, 0xcb, + /* (2^395)P */ 0xff, 0x54, 0x02, 0x19, 0xae, 0x8b, 0x4c, 0x2c, 0x3a, 0xe0, 0xe4, 0xac, 0x87, 0xf7, 0x51, 0x45, 0x41, 0x43, 0xdc, 0xaa, 0xcd, 0xcb, 0xdc, 0x40, 0xe3, 0x44, 0x3b, 0x1d, 0x9e, 0x3d, 0xb9, 0x82, 0xcc, 0x7a, 0xc5, 0x12, 0xf8, 0x1e, 0xdd, 0xdb, 0x8d, 0xb0, 0x2a, 0xe8, 0xe6, 0x6c, 0x94, 0x3b, 0xb7, 0x2d, 0xba, 0x79, 0x3b, 0xb5, 0x86, 0xfb, + /* (2^396)P */ 0x82, 0x88, 0x13, 0xdd, 0x6c, 0xcd, 0x85, 0x2b, 0x90, 0x86, 0xb7, 0xac, 0x16, 0xa6, 0x6e, 0x6a, 0x94, 0xd8, 0x1e, 0x4e, 0x41, 0x0f, 0xce, 0x81, 0x6a, 0xa8, 0x26, 0x56, 0x43, 0x52, 0x52, 0xe6, 0xff, 0x88, 0xcf, 0x47, 0x05, 0x1d, 0xff, 0xf3, 0xa0, 0x10, 0xb2, 0x97, 0x87, 0xeb, 0x47, 0xbb, 0xfa, 0x1f, 0xe8, 0x4c, 0xce, 0xc4, 0xcd, 0x93, + /* (2^397)P */ 0xf4, 0x11, 0xf5, 0x8d, 0x89, 0x29, 0x79, 0xb3, 0x59, 0x0b, 0x29, 0x7d, 0x9c, 0x12, 0x4a, 0x65, 0x72, 0x3a, 0xf9, 0xec, 0x37, 0x18, 0x86, 0xef, 0x44, 0x07, 0x25, 0x74, 0x76, 0x53, 0xed, 0x51, 0x01, 0xc6, 0x28, 0xc5, 0xc3, 0x4a, 0x0f, 0x99, 0xec, 0xc8, 0x40, 0x5a, 0x83, 0x30, 0x79, 0xa2, 0x3e, 0x63, 0x09, 0x2d, 0x6f, 0x23, 0x54, 0x1c, + /* (2^398)P */ 0x5c, 0x6f, 0x3b, 0x1c, 0x30, 0x77, 0x7e, 0x87, 0x66, 0x83, 0x2e, 0x7e, 0x85, 0x50, 0xfd, 0xa0, 0x7a, 0xc2, 0xf5, 0x0f, 0xc1, 0x64, 0xe7, 0x0b, 0xbd, 0x59, 0xa7, 0xe7, 0x65, 0x53, 0xc3, 0xf5, 0x55, 0x5b, 0xe1, 0x82, 0x30, 0x5a, 0x61, 0xcd, 0xa0, 0x89, 0x32, 0xdb, 0x87, 0xfc, 0x21, 0x8a, 0xab, 0x6d, 0x82, 0xa8, 0x42, 0x81, 0x4f, 0xf2, + /* (2^399)P */ 0xb3, 0xeb, 0x88, 0x18, 0xf6, 0x56, 0x96, 0xbf, 0xba, 0x5d, 0x71, 0xa1, 0x5a, 0xd1, 0x04, 0x7b, 0xd5, 0x46, 0x01, 0x74, 0xfe, 0x15, 0x25, 0xb7, 0xff, 0x0c, 0x24, 0x47, 0xac, 0xfd, 0xab, 0x47, 0x32, 0xe1, 0x6a, 0x4e, 0xca, 0xcf, 0x7f, 0xdd, 0xf8, 0xd2, 0x4b, 0x3b, 0xf5, 0x17, 0xba, 0xba, 0x8b, 0xa1, 0xec, 0x28, 0x3f, 0x97, 0xab, 0x2a, + /* (2^400)P */ 0x51, 0x38, 0xc9, 0x5e, 0xc6, 0xb3, 0x64, 0xf2, 0x24, 0x4d, 0x04, 0x7d, 0xc8, 0x39, 0x0c, 0x4a, 0xc9, 0x73, 0x74, 0x1b, 0x5c, 0xb2, 0xc5, 0x41, 0x62, 0xa0, 0x4c, 0x6d, 0x8d, 0x91, 0x9a, 0x7b, 0x88, 0xab, 0x9c, 0x7e, 0x23, 0xdb, 0x6f, 0xb5, 0x72, 0xd6, 0x47, 0x40, 0xef, 0x22, 0x58, 0x62, 0x19, 0x6c, 0x38, 0xba, 0x5b, 0x00, 0x30, 0x9f, + /* (2^401)P */ 0x65, 0xbb, 0x3b, 0x9b, 0xe9, 0xae, 0xbf, 0xbe, 0xe4, 0x13, 0x95, 0xf3, 0xe3, 0x77, 0xcb, 0xe4, 0x9a, 0x22, 0xb5, 0x4a, 0x08, 0x9d, 0xb3, 0x9e, 0x27, 0xe0, 0x15, 0x6c, 0x9f, 0x7e, 0x9a, 0x5e, 0x15, 0x45, 0x25, 0x8d, 0x01, 0x0a, 0xd2, 0x2b, 0xbd, 0x48, 0x06, 0x0d, 0x18, 0x97, 0x4b, 0xdc, 0xbc, 0xf0, 0xcd, 0xb2, 0x52, 0x3c, 0xac, 0xf5, + /* (2^402)P */ 0x3e, 0xed, 0x47, 0x6b, 0x5c, 0xf6, 0x76, 0xd0, 0xe9, 0x15, 0xa3, 0xcb, 0x36, 0x00, 0x21, 0xa3, 0x79, 0x20, 0xa5, 0x3e, 0x88, 0x03, 0xcb, 0x7e, 0x63, 0xbb, 0xed, 0xa9, 0x13, 0x35, 0x16, 0xaf, 0x2e, 0xb4, 0x70, 0x14, 0x93, 0xfb, 0xc4, 0x9b, 0xd8, 0xb1, 0xbe, 0x43, 0xd1, 0x85, 0xb8, 0x97, 0xef, 0xea, 0x88, 0xa1, 0x25, 0x52, 0x62, 0x75, + /* (2^403)P */ 0x8e, 0x4f, 0xaa, 0x23, 0x62, 0x7e, 0x2b, 0x37, 0x89, 0x00, 0x11, 0x30, 0xc5, 0x33, 0x4a, 0x89, 0x8a, 0xe2, 0xfc, 0x5c, 0x6a, 0x75, 0xe5, 0xf7, 0x02, 0x4a, 0x9b, 0xf7, 0xb5, 0x6a, 0x85, 0x31, 0xd3, 0x5a, 0xcf, 0xc3, 0xf8, 0xde, 0x2f, 0xcf, 0xb5, 0x24, 0xf4, 0xe3, 0xa1, 0xad, 0x42, 0xae, 0x09, 0xb9, 0x2e, 0x04, 0x2d, 0x01, 0x22, 0x3f, + /* (2^404)P */ 0x41, 0x16, 0xfb, 0x7d, 0x50, 0xfd, 0xb5, 0xba, 0x88, 0x24, 0xba, 0xfd, 0x3d, 0xb2, 0x90, 0x15, 0xb7, 0xfa, 0xa2, 0xe1, 0x4c, 0x7d, 0xb9, 0xc6, 0xff, 0x81, 0x57, 0xb6, 0xc2, 0x9e, 0xcb, 0xc4, 0x35, 0xbd, 0x01, 0xb7, 0xaa, 0xce, 0xd0, 0xe9, 0xb5, 0xd6, 0x72, 0xbf, 0xd2, 0xee, 0xc7, 0xac, 0x94, 0xff, 0x29, 0x57, 0x02, 0x49, 0x09, 0xad, + /* (2^405)P */ 0x27, 0xa5, 0x78, 0x1b, 0xbf, 0x6b, 0xaf, 0x0b, 0x8c, 0xd9, 0xa8, 0x37, 0xb0, 0x67, 0x18, 0xb6, 0xc7, 0x05, 0x8a, 0x67, 0x03, 0x30, 0x62, 0x6e, 0x56, 0x82, 0xa9, 0x54, 0x3e, 0x0c, 0x4e, 0x07, 0xe1, 0x5a, 0x38, 0xed, 0xfa, 0xc8, 0x55, 0x6b, 0x08, 0xa3, 0x6b, 0x64, 0x2a, 0x15, 0xd6, 0x39, 0x6f, 0x47, 0x99, 0x42, 0x3f, 0x33, 0x84, 0x8f, + /* (2^406)P */ 0xbc, 0x45, 0x29, 0x81, 0x0e, 0xa4, 0xc5, 0x72, 0x3a, 0x10, 0xe1, 0xc4, 0x1e, 0xda, 0xc3, 0xfe, 0xb0, 0xce, 0xd2, 0x13, 0x34, 0x67, 0x21, 0xc6, 0x7e, 0xf9, 0x8c, 0xff, 0x39, 0x50, 0xae, 0x92, 0x60, 0x35, 0x2f, 0x8b, 0x6e, 0xc9, 0xc1, 0x27, 0x3a, 0x94, 0x66, 0x3e, 0x26, 0x84, 0x93, 0xc8, 0x6c, 0xcf, 0xd2, 0x03, 0xa1, 0x10, 0xcf, 0xb7, + /* (2^407)P */ 0x64, 0xda, 0x19, 0xf6, 0xc5, 0x73, 0x17, 0x44, 0x88, 0x81, 0x07, 0x0d, 0x34, 0xb2, 0x75, 0xf9, 0xd9, 0xe2, 0xe0, 0x8b, 0x71, 0xcf, 0x72, 0x34, 0x83, 0xb4, 0xce, 0xfc, 0xd7, 0x29, 0x09, 0x5a, 0x98, 0xbf, 0x14, 0xac, 0x77, 0x55, 0x38, 0x47, 0x5b, 0x0f, 0x40, 0x24, 0xe5, 0xa5, 0xa6, 0xac, 0x2d, 0xa6, 0xff, 0x9c, 0x73, 0xfe, 0x5c, 0x7e, + /* (2^408)P */ 0x1e, 0x33, 0xcc, 0x68, 0xb2, 0xbc, 0x8c, 0x93, 0xaf, 0xcc, 0x38, 0xf8, 0xd9, 0x16, 0x72, 0x50, 0xac, 0xd9, 0xb5, 0x0b, 0x9a, 0xbe, 0x46, 0x7a, 0xf1, 0xee, 0xf1, 0xad, 0xec, 0x5b, 0x59, 0x27, 0x9c, 0x05, 0xa3, 0x87, 0xe0, 0x37, 0x2c, 0x83, 0xce, 0xb3, 0x65, 0x09, 0x8e, 0xc3, 0x9c, 0xbf, 0x6a, 0xa2, 0x00, 0xcc, 0x12, 0x36, 0xc5, 0x95, + /* (2^409)P */ 0x36, 0x11, 0x02, 0x14, 0x9c, 0x3c, 0xeb, 0x2f, 0x23, 0x5b, 0x6b, 0x2b, 0x08, 0x54, 0x53, 0xac, 0xb2, 0xa3, 0xe0, 0x26, 0x62, 0x3c, 0xe4, 0xe1, 0x81, 0xee, 0x13, 0x3e, 0xa4, 0x97, 0xef, 0xf9, 0x92, 0x27, 0x01, 0xce, 0x54, 0x8b, 0x3e, 0x31, 0xbe, 0xa7, 0x88, 0xcf, 0x47, 0x99, 0x3c, 0x10, 0x6f, 0x60, 0xb3, 0x06, 0x4e, 0xee, 0x1b, 0xf0, + /* (2^410)P */ 0x59, 0x49, 0x66, 0xcf, 0x22, 0xe6, 0xf6, 0x73, 0xfe, 0xa3, 0x1c, 0x09, 0xfa, 0x5f, 0x65, 0xa8, 0xf0, 0x82, 0xc2, 0xef, 0x16, 0x63, 0x6e, 0x79, 0x69, 0x51, 0x39, 0x07, 0x65, 0xc4, 0x81, 0xec, 0x73, 0x0f, 0x15, 0x93, 0xe1, 0x30, 0x33, 0xe9, 0x37, 0x86, 0x42, 0x4c, 0x1f, 0x9b, 0xad, 0xee, 0x3f, 0xf1, 0x2a, 0x8e, 0x6a, 0xa3, 0xc8, 0x35, + /* (2^411)P */ 0x1e, 0x49, 0xf1, 0xdd, 0xd2, 0x9c, 0x8e, 0x78, 0xb2, 0x06, 0xe4, 0x6a, 0xab, 0x3a, 0xdc, 0xcd, 0xf4, 0xeb, 0xe1, 0xe7, 0x2f, 0xaa, 0xeb, 0x40, 0x31, 0x9f, 0xb9, 0xab, 0x13, 0xa9, 0x78, 0xbf, 0x38, 0x89, 0x0e, 0x85, 0x14, 0x8b, 0x46, 0x76, 0x14, 0xda, 0xcf, 0x33, 0xc8, 0x79, 0xd3, 0xd5, 0xa3, 0x6a, 0x69, 0x45, 0x70, 0x34, 0xc3, 0xe9, + /* (2^412)P */ 0x5e, 0xe7, 0x78, 0xe9, 0x24, 0xcc, 0xe9, 0xf4, 0xc8, 0x6b, 0xe0, 0xfb, 0x3a, 0xbe, 0xcc, 0x42, 0x4a, 0x00, 0x22, 0xf8, 0xe6, 0x32, 0xbe, 0x6d, 0x18, 0x55, 0x60, 0xe9, 0x72, 0x69, 0x50, 0x56, 0xca, 0x04, 0x18, 0x38, 0xa1, 0xee, 0xd8, 0x38, 0x3c, 0xa7, 0x70, 0xe2, 0xb9, 0x4c, 0xa0, 0xc8, 0x89, 0x72, 0xcf, 0x49, 0x7f, 0xdf, 0xbc, 0x67, + /* (2^413)P */ 0x1d, 0x17, 0xcb, 0x0b, 0xbd, 0xb2, 0x36, 0xe3, 0xa8, 0x99, 0x31, 0xb6, 0x26, 0x9c, 0x0c, 0x74, 0xaf, 0x4d, 0x24, 0x61, 0xcf, 0x31, 0x7b, 0xed, 0xdd, 0xc3, 0xf6, 0x32, 0x70, 0xfe, 0x17, 0xf6, 0x51, 0x37, 0x65, 0xce, 0x5d, 0xaf, 0xa5, 0x2f, 0x2a, 0xfe, 0x00, 0x71, 0x7c, 0x50, 0xbe, 0x21, 0xc7, 0xed, 0xc6, 0xfc, 0x67, 0xcf, 0x9c, 0xdd, + /* (2^414)P */ 0x26, 0x3e, 0xf8, 0xbb, 0xd0, 0xb1, 0x01, 0xd8, 0xeb, 0x0b, 0x62, 0x87, 0x35, 0x4c, 0xde, 0xca, 0x99, 0x9c, 0x6d, 0xf7, 0xb6, 0xf0, 0x57, 0x0a, 0x52, 0x29, 0x6a, 0x3f, 0x26, 0x31, 0x04, 0x07, 0x2a, 0xc9, 0xfa, 0x9b, 0x0e, 0x62, 0x8e, 0x72, 0xf2, 0xad, 0xce, 0xb6, 0x35, 0x7a, 0xc1, 0xae, 0x35, 0xc7, 0xa3, 0x14, 0xcf, 0x0c, 0x28, 0xb7, + /* (2^415)P */ 0xa6, 0xf1, 0x32, 0x3a, 0x20, 0xd2, 0x24, 0x97, 0xcf, 0x5d, 0x37, 0x99, 0xaf, 0x33, 0x7a, 0x5b, 0x7a, 0xcc, 0x4e, 0x41, 0x38, 0xb1, 0x4e, 0xad, 0xc9, 0xd9, 0x71, 0x7e, 0xb2, 0xf5, 0xd5, 0x01, 0x6c, 0x4d, 0xfd, 0xa1, 0xda, 0x03, 0x38, 0x9b, 0x3d, 0x92, 0x92, 0xf2, 0xca, 0xbf, 0x1f, 0x24, 0xa4, 0xbb, 0x30, 0x6a, 0x74, 0x56, 0xc8, 0xce, + /* (2^416)P */ 0x27, 0xf4, 0xed, 0xc9, 0xc3, 0xb1, 0x79, 0x85, 0xbe, 0xf6, 0xeb, 0xf3, 0x55, 0xc7, 0xaa, 0xa6, 0xe9, 0x07, 0x5d, 0xf4, 0xeb, 0xa6, 0x81, 0xe3, 0x0e, 0xcf, 0xa3, 0xc1, 0xef, 0xe7, 0x34, 0xb2, 0x03, 0x73, 0x8a, 0x91, 0xf1, 0xad, 0x05, 0xc7, 0x0b, 0x43, 0x99, 0x12, 0x31, 0xc8, 0xc7, 0xc5, 0xa4, 0x3d, 0xcd, 0xe5, 0x4e, 0x6d, 0x24, 0xdd, + /* (2^417)P */ 0x61, 0x54, 0xd0, 0x95, 0x2c, 0x45, 0x75, 0xac, 0xb5, 0x1a, 0x9d, 0x11, 0xeb, 0xed, 0x6b, 0x57, 0xa3, 0xe6, 0xcd, 0x77, 0xd4, 0x83, 0x8e, 0x39, 0xf1, 0x0f, 0x98, 0xcb, 0x40, 0x02, 0x6e, 0x10, 0x82, 0x9e, 0xb4, 0x93, 0x76, 0xd7, 0x97, 0xa3, 0x53, 0x12, 0x86, 0xc6, 0x15, 0x78, 0x73, 0x93, 0xe7, 0x7f, 0xcf, 0x1f, 0xbf, 0xcd, 0xd2, 0x7a, + /* (2^418)P */ 0xc2, 0x21, 0xdc, 0xd5, 0x69, 0xff, 0xca, 0x49, 0x3a, 0xe1, 0xc3, 0x69, 0x41, 0x56, 0xc1, 0x76, 0x63, 0x24, 0xbd, 0x64, 0x1b, 0x3d, 0x92, 0xf9, 0x13, 0x04, 0x25, 0xeb, 0x27, 0xa6, 0xef, 0x39, 0x3a, 0x80, 0xe0, 0xf8, 0x27, 0xee, 0xc9, 0x49, 0x77, 0xef, 0x3f, 0x29, 0x3d, 0x5e, 0xe6, 0x66, 0x83, 0xd1, 0xf6, 0xfe, 0x9d, 0xbc, 0xf1, 0x96, + /* (2^419)P */ 0x6b, 0xc6, 0x99, 0x26, 0x3c, 0xf3, 0x63, 0xf9, 0xc7, 0x29, 0x8c, 0x52, 0x62, 0x2d, 0xdc, 0x8a, 0x66, 0xce, 0x2c, 0xa7, 0xe4, 0xf0, 0xd7, 0x37, 0x17, 0x1e, 0xe4, 0xa3, 0x53, 0x7b, 0x29, 0x8e, 0x60, 0x99, 0xf9, 0x0c, 0x7c, 0x6f, 0xa2, 0xcc, 0x9f, 0x80, 0xdd, 0x5e, 0x46, 0xaa, 0x0d, 0x6c, 0xc9, 0x6c, 0xf7, 0x78, 0x5b, 0x38, 0xe3, 0x24, + /* (2^420)P */ 0x4b, 0x75, 0x6a, 0x2f, 0x08, 0xe1, 0x72, 0x76, 0xab, 0x82, 0x96, 0xdf, 0x3b, 0x1f, 0x9b, 0xd8, 0xed, 0xdb, 0xcd, 0x15, 0x09, 0x5a, 0x1e, 0xb7, 0xc5, 0x26, 0x72, 0x07, 0x0c, 0x50, 0xcd, 0x3b, 0x4d, 0x3f, 0xa2, 0x67, 0xc2, 0x02, 0x61, 0x2e, 0x68, 0xe9, 0x6f, 0xf0, 0x21, 0x2a, 0xa7, 0x3b, 0x88, 0x04, 0x11, 0x64, 0x49, 0x0d, 0xb4, 0x46, + /* (2^421)P */ 0x63, 0x85, 0xf3, 0xc5, 0x2b, 0x5a, 0x9f, 0xf0, 0x17, 0xcb, 0x45, 0x0a, 0xf3, 0x6e, 0x7e, 0xb0, 0x7c, 0xbc, 0xf0, 0x4f, 0x3a, 0xb0, 0xbc, 0x36, 0x36, 0x52, 0x51, 0xcb, 0xfe, 0x9a, 0xcb, 0xe8, 0x7e, 0x4b, 0x06, 0x7f, 0xaa, 0x35, 0xc8, 0x0e, 0x7a, 0x30, 0xa3, 0xb1, 0x09, 0xbb, 0x86, 0x4c, 0xbe, 0xb8, 0xbd, 0xe0, 0x32, 0xa5, 0xd4, 0xf7, + /* (2^422)P */ 0x7d, 0x50, 0x37, 0x68, 0x4e, 0x22, 0xb2, 0x2c, 0xd5, 0x0f, 0x2b, 0x6d, 0xb1, 0x51, 0xf2, 0x82, 0xe9, 0x98, 0x7c, 0x50, 0xc7, 0x96, 0x7e, 0x0e, 0xdc, 0xb1, 0x0e, 0xb2, 0x63, 0x8c, 0x30, 0x37, 0x72, 0x21, 0x9c, 0x61, 0xc2, 0xa7, 0x33, 0xd9, 0xb2, 0x63, 0x93, 0xd1, 0x6b, 0x6a, 0x73, 0xa5, 0x58, 0x80, 0xff, 0x04, 0xc7, 0x83, 0x21, 0x29, + /* (2^423)P */ 0x29, 0x04, 0xbc, 0x99, 0x39, 0xc9, 0x58, 0xc9, 0x6b, 0x17, 0xe8, 0x90, 0xb3, 0xe6, 0xa9, 0xb6, 0x28, 0x9b, 0xcb, 0x3b, 0x28, 0x90, 0x68, 0x71, 0xff, 0xcf, 0x08, 0x78, 0xc9, 0x8d, 0xa8, 0x4e, 0x43, 0xd1, 0x1c, 0x9e, 0xa4, 0xe3, 0xdf, 0xbf, 0x92, 0xf4, 0xf9, 0x41, 0xba, 0x4d, 0x1c, 0xf9, 0xdd, 0x74, 0x76, 0x1c, 0x6e, 0x3e, 0x94, 0x87, + /* (2^424)P */ 0xe4, 0xda, 0xc5, 0xd7, 0xfb, 0x87, 0xc5, 0x4d, 0x6b, 0x19, 0xaa, 0xb9, 0xbc, 0x8c, 0xf2, 0x8a, 0xd8, 0x5d, 0xdb, 0x4d, 0xef, 0xa6, 0xf2, 0x65, 0xf1, 0x22, 0x9c, 0xf1, 0x46, 0x30, 0x71, 0x7c, 0xe4, 0x53, 0x8e, 0x55, 0x2e, 0x9c, 0x9a, 0x31, 0x2a, 0xc3, 0xab, 0x0f, 0xde, 0xe4, 0xbe, 0xd8, 0x96, 0x50, 0x6e, 0x0c, 0x54, 0x49, 0xe6, 0xec, + /* (2^425)P */ 0x3c, 0x1d, 0x5a, 0xa5, 0xda, 0xad, 0xdd, 0xc2, 0xae, 0xac, 0x6f, 0x86, 0x75, 0x31, 0x91, 0x64, 0x45, 0x9d, 0xa4, 0xf0, 0x81, 0xf1, 0x0e, 0xba, 0x74, 0xaf, 0x7b, 0xcd, 0x6f, 0xfe, 0xac, 0x4e, 0xdb, 0x4e, 0x45, 0x35, 0x36, 0xc5, 0xc0, 0x6c, 0x3d, 0x64, 0xf4, 0xd8, 0x07, 0x62, 0xd1, 0xec, 0xf3, 0xfc, 0x93, 0xc9, 0x28, 0x0c, 0x2c, 0xf3, + /* (2^426)P */ 0x0c, 0x69, 0x2b, 0x5c, 0xb6, 0x41, 0x69, 0xf1, 0xa4, 0xf1, 0x5b, 0x75, 0x4c, 0x42, 0x8b, 0x47, 0xeb, 0x69, 0xfb, 0xa8, 0xe6, 0xf9, 0x7b, 0x48, 0x50, 0xaf, 0xd3, 0xda, 0xb2, 0x35, 0x10, 0xb5, 0x5b, 0x40, 0x90, 0x39, 0xc9, 0x07, 0x06, 0x73, 0x26, 0x20, 0x95, 0x01, 0xa4, 0x2d, 0xf0, 0xe7, 0x2e, 0x00, 0x7d, 0x41, 0x09, 0x68, 0x13, 0xc4, + /* (2^427)P */ 0xbe, 0x38, 0x78, 0xcf, 0xc9, 0x4f, 0x36, 0xca, 0x09, 0x61, 0x31, 0x3c, 0x57, 0x2e, 0xec, 0x17, 0xa4, 0x7d, 0x19, 0x2b, 0x9b, 0x5b, 0xbe, 0x8f, 0xd6, 0xc5, 0x2f, 0x86, 0xf2, 0x64, 0x76, 0x17, 0x00, 0x6e, 0x1a, 0x8c, 0x67, 0x1b, 0x68, 0xeb, 0x15, 0xa2, 0xd6, 0x09, 0x91, 0xdd, 0x23, 0x0d, 0x98, 0xb2, 0x10, 0x19, 0x55, 0x9b, 0x63, 0xf2, + /* (2^428)P */ 0x51, 0x1f, 0x93, 0xea, 0x2a, 0x3a, 0xfa, 0x41, 0xc0, 0x57, 0xfb, 0x74, 0xa6, 0x65, 0x09, 0x56, 0x14, 0xb6, 0x12, 0xaa, 0xb3, 0x1a, 0x8d, 0x3b, 0x76, 0x91, 0x7a, 0x23, 0x56, 0x9c, 0x6a, 0xc0, 0xe0, 0x3c, 0x3f, 0xb5, 0x1a, 0xf4, 0x57, 0x71, 0x93, 0x2b, 0xb1, 0xa7, 0x70, 0x57, 0x22, 0x80, 0xf5, 0xb8, 0x07, 0x77, 0x87, 0x0c, 0xbe, 0x83, + /* (2^429)P */ 0x07, 0x9b, 0x0e, 0x52, 0x38, 0x63, 0x13, 0x86, 0x6a, 0xa6, 0xb4, 0xd2, 0x60, 0x68, 0x9a, 0x99, 0x82, 0x0a, 0x04, 0x5f, 0x89, 0x7a, 0x1a, 0x2a, 0xae, 0x2d, 0x35, 0x0c, 0x1e, 0xad, 0xef, 0x4f, 0x9a, 0xfc, 0xc8, 0xd9, 0xcf, 0x9d, 0x48, 0x71, 0xa5, 0x55, 0x79, 0x73, 0x39, 0x1b, 0xd8, 0x73, 0xec, 0x9b, 0x03, 0x16, 0xd8, 0x82, 0xf7, 0x67, + /* (2^430)P */ 0x52, 0x67, 0x42, 0x21, 0xc9, 0x40, 0x78, 0x82, 0x2b, 0x95, 0x2d, 0x20, 0x92, 0xd1, 0xe2, 0x61, 0x25, 0xb0, 0xc6, 0x9c, 0x20, 0x59, 0x8e, 0x28, 0x6f, 0xf3, 0xfd, 0xd3, 0xc1, 0x32, 0x43, 0xc9, 0xa6, 0x08, 0x7a, 0x77, 0x9c, 0x4c, 0x8c, 0x33, 0x71, 0x13, 0x69, 0xe3, 0x52, 0x30, 0xa7, 0xf5, 0x07, 0x67, 0xac, 0xad, 0x46, 0x8a, 0x26, 0x25, + /* (2^431)P */ 0xda, 0x86, 0xc4, 0xa2, 0x71, 0x56, 0xdd, 0xd2, 0x48, 0xd3, 0xde, 0x42, 0x63, 0x01, 0xa7, 0x2c, 0x92, 0x83, 0x6f, 0x2e, 0xd8, 0x1e, 0x3f, 0xc1, 0xc5, 0x42, 0x4e, 0x34, 0x19, 0x54, 0x6e, 0x35, 0x2c, 0x51, 0x2e, 0xfd, 0x0f, 0x9a, 0x45, 0x66, 0x5e, 0x4a, 0x83, 0xda, 0x0a, 0x53, 0x68, 0x63, 0xfa, 0xce, 0x47, 0x20, 0xd3, 0x34, 0xba, 0x0d, + /* (2^432)P */ 0xd0, 0xe9, 0x64, 0xa4, 0x61, 0x4b, 0x86, 0xe5, 0x93, 0x6f, 0xda, 0x0e, 0x31, 0x7e, 0x6e, 0xe3, 0xc6, 0x73, 0xd8, 0xa3, 0x08, 0x57, 0x52, 0xcd, 0x51, 0x63, 0x1d, 0x9f, 0x93, 0x00, 0x62, 0x91, 0x26, 0x21, 0xa7, 0xdd, 0x25, 0x0f, 0x09, 0x0d, 0x35, 0xad, 0xcf, 0x11, 0x8e, 0x6e, 0xe8, 0xae, 0x1d, 0x95, 0xcb, 0x88, 0xf8, 0x70, 0x7b, 0x91, + /* (2^433)P */ 0x0c, 0x19, 0x5c, 0xd9, 0x8d, 0xda, 0x9d, 0x2c, 0x90, 0x54, 0x65, 0xe8, 0xb6, 0x35, 0x50, 0xae, 0xea, 0xae, 0x43, 0xb7, 0x1e, 0x99, 0x8b, 0x4c, 0x36, 0x4e, 0xe4, 0x1e, 0xc4, 0x64, 0x43, 0xb6, 0xeb, 0xd4, 0xe9, 0x60, 0x22, 0xee, 0xcf, 0xb8, 0x52, 0x1b, 0xf0, 0x04, 0xce, 0xbc, 0x2b, 0xf0, 0xbe, 0xcd, 0x44, 0x74, 0x1e, 0x1f, 0x63, 0xf9, + /* (2^434)P */ 0xe1, 0x3f, 0x95, 0x94, 0xb2, 0xb6, 0x31, 0xa9, 0x1b, 0xdb, 0xfd, 0x0e, 0xdb, 0xdd, 0x1a, 0x22, 0x78, 0x60, 0x9f, 0x75, 0x5f, 0x93, 0x06, 0x0c, 0xd8, 0xbb, 0xa2, 0x85, 0x2b, 0x5e, 0xc0, 0x9b, 0xa8, 0x5d, 0xaf, 0x93, 0x91, 0x91, 0x47, 0x41, 0x1a, 0xfc, 0xb4, 0x51, 0x85, 0xad, 0x69, 0x4d, 0x73, 0x69, 0xd5, 0x4e, 0x82, 0xfb, 0x66, 0xcb, + /* (2^435)P */ 0x7c, 0xbe, 0xc7, 0x51, 0xc4, 0x74, 0x6e, 0xab, 0xfd, 0x41, 0x4f, 0x76, 0x4f, 0x24, 0x03, 0xd6, 0x2a, 0xb7, 0x42, 0xb4, 0xda, 0x41, 0x2c, 0x82, 0x48, 0x4c, 0x7f, 0x6f, 0x25, 0x5d, 0x36, 0xd4, 0x69, 0xf5, 0xef, 0x02, 0x81, 0xea, 0x6f, 0x19, 0x69, 0xe8, 0x6f, 0x5b, 0x2f, 0x14, 0x0e, 0x6f, 0x89, 0xb4, 0xb5, 0xd8, 0xae, 0xef, 0x7b, 0x87, + /* (2^436)P */ 0xe9, 0x91, 0xa0, 0x8b, 0xc9, 0xe0, 0x01, 0x90, 0x37, 0xc1, 0x6f, 0xdc, 0x5e, 0xf7, 0xbf, 0x43, 0x00, 0xaa, 0x10, 0x76, 0x76, 0x18, 0x6e, 0x19, 0x1e, 0x94, 0x50, 0x11, 0x0a, 0xd1, 0xe2, 0xdb, 0x08, 0x21, 0xa0, 0x1f, 0xdb, 0x54, 0xfe, 0xea, 0x6e, 0xa3, 0x68, 0x56, 0x87, 0x0b, 0x22, 0x4e, 0x66, 0xf3, 0x82, 0x82, 0x00, 0xcd, 0xd4, 0x12, + /* (2^437)P */ 0x25, 0x8e, 0x24, 0x77, 0x64, 0x4c, 0xe0, 0xf8, 0x18, 0xc0, 0xdc, 0xc7, 0x1b, 0x35, 0x65, 0xde, 0x67, 0x41, 0x5e, 0x6f, 0x90, 0x82, 0xa7, 0x2e, 0x6d, 0xf1, 0x47, 0xb4, 0x92, 0x9c, 0xfd, 0x6a, 0x9a, 0x41, 0x36, 0x20, 0x24, 0x58, 0xc3, 0x59, 0x07, 0x9a, 0xfa, 0x9f, 0x03, 0xcb, 0xc7, 0x69, 0x37, 0x60, 0xe1, 0xab, 0x13, 0x72, 0xee, 0xa2, + /* (2^438)P */ 0x74, 0x78, 0xfb, 0x13, 0xcb, 0x8e, 0x37, 0x1a, 0xf6, 0x1d, 0x17, 0x83, 0x06, 0xd4, 0x27, 0x06, 0x21, 0xe8, 0xda, 0xdf, 0x6b, 0xf3, 0x83, 0x6b, 0x34, 0x8a, 0x8c, 0xee, 0x01, 0x05, 0x5b, 0xed, 0xd3, 0x1b, 0xc9, 0x64, 0x83, 0xc9, 0x49, 0xc2, 0x57, 0x1b, 0xdd, 0xcf, 0xf1, 0x9d, 0x63, 0xee, 0x1c, 0x0d, 0xa0, 0x0a, 0x73, 0x1f, 0x5b, 0x32, + /* (2^439)P */ 0x29, 0xce, 0x1e, 0xc0, 0x6a, 0xf5, 0xeb, 0x99, 0x5a, 0x39, 0x23, 0xe9, 0xdd, 0xac, 0x44, 0x88, 0xbc, 0x80, 0x22, 0xde, 0x2c, 0xcb, 0xa8, 0x3b, 0xff, 0xf7, 0x6f, 0xc7, 0x71, 0x72, 0xa8, 0xa3, 0xf6, 0x4d, 0xc6, 0x75, 0xda, 0x80, 0xdc, 0xd9, 0x30, 0xd9, 0x07, 0x50, 0x5a, 0x54, 0x7d, 0xda, 0x39, 0x6f, 0x78, 0x94, 0xbf, 0x25, 0x98, 0xdc, + /* (2^440)P */ 0x01, 0x26, 0x62, 0x44, 0xfb, 0x0f, 0x11, 0x72, 0x73, 0x0a, 0x16, 0xc7, 0x16, 0x9c, 0x9b, 0x37, 0xd8, 0xff, 0x4f, 0xfe, 0x57, 0xdb, 0xae, 0xef, 0x7d, 0x94, 0x30, 0x04, 0x70, 0x83, 0xde, 0x3c, 0xd4, 0xb5, 0x70, 0xda, 0xa7, 0x55, 0xc8, 0x19, 0xe1, 0x36, 0x15, 0x61, 0xe7, 0x3b, 0x7d, 0x85, 0xbb, 0xf3, 0x42, 0x5a, 0x94, 0xf4, 0x53, 0x2a, + /* (2^441)P */ 0x14, 0x60, 0xa6, 0x0b, 0x83, 0xe1, 0x23, 0x77, 0xc0, 0xce, 0x50, 0xed, 0x35, 0x8d, 0x98, 0x99, 0x7d, 0xf5, 0x8d, 0xce, 0x94, 0x25, 0xc8, 0x0f, 0x6d, 0xfa, 0x4a, 0xa4, 0x3a, 0x1f, 0x66, 0xfb, 0x5a, 0x64, 0xaf, 0x8b, 0x54, 0x54, 0x44, 0x3f, 0x5b, 0x88, 0x61, 0xe4, 0x48, 0x45, 0x26, 0x20, 0xbe, 0x0d, 0x06, 0xbb, 0x65, 0x59, 0xe1, 0x36, + /* (2^442)P */ 0xb7, 0x98, 0xce, 0xa3, 0xe3, 0xee, 0x11, 0x1b, 0x9e, 0x24, 0x59, 0x75, 0x31, 0x37, 0x44, 0x6f, 0x6b, 0x9e, 0xec, 0xb7, 0x44, 0x01, 0x7e, 0xab, 0xbb, 0x69, 0x5d, 0x11, 0xb0, 0x30, 0x64, 0xea, 0x91, 0xb4, 0x7a, 0x8c, 0x02, 0x4c, 0xb9, 0x10, 0xa7, 0xc7, 0x79, 0xe6, 0xdc, 0x77, 0xe3, 0xc8, 0xef, 0x3e, 0xf9, 0x38, 0x81, 0xce, 0x9a, 0xb2, + /* (2^443)P */ 0x91, 0x12, 0x76, 0xd0, 0x10, 0xb4, 0xaf, 0xe1, 0x89, 0x3a, 0x93, 0x6b, 0x5c, 0x19, 0x5f, 0x24, 0xed, 0x04, 0x92, 0xc7, 0xf0, 0x00, 0x08, 0xc1, 0x92, 0xff, 0x90, 0xdb, 0xb2, 0xbf, 0xdf, 0x49, 0xcd, 0xbd, 0x5c, 0x6e, 0xbf, 0x16, 0xbb, 0x61, 0xf9, 0x20, 0x33, 0x35, 0x93, 0x11, 0xbc, 0x59, 0x69, 0xce, 0x18, 0x9f, 0xf8, 0x7b, 0xa1, 0x6e, + /* (2^444)P */ 0xa1, 0xf4, 0xaf, 0xad, 0xf8, 0xe6, 0x99, 0xd2, 0xa1, 0x4d, 0xde, 0x56, 0xc9, 0x7b, 0x0b, 0x11, 0x3e, 0xbf, 0x89, 0x1a, 0x9a, 0x90, 0xe5, 0xe2, 0xa6, 0x37, 0x88, 0xa1, 0x68, 0x59, 0xae, 0x8c, 0xec, 0x02, 0x14, 0x8d, 0xb7, 0x2e, 0x25, 0x75, 0x7f, 0x76, 0x1a, 0xd3, 0x4d, 0xad, 0x8a, 0x00, 0x6c, 0x96, 0x49, 0xa4, 0xc3, 0x2e, 0x5c, 0x7b, + /* (2^445)P */ 0x26, 0x53, 0xf7, 0xda, 0xa8, 0x01, 0x14, 0xb1, 0x63, 0xe3, 0xc3, 0x89, 0x88, 0xb0, 0x85, 0x40, 0x2b, 0x26, 0x9a, 0x10, 0x1a, 0x70, 0x33, 0xf4, 0x50, 0x9d, 0x4d, 0xd8, 0x64, 0xc6, 0x0f, 0xe1, 0x17, 0xc8, 0x10, 0x4b, 0xfc, 0xa0, 0xc9, 0xba, 0x2c, 0x98, 0x09, 0xf5, 0x84, 0xb6, 0x7c, 0x4e, 0xa3, 0xe3, 0x81, 0x1b, 0x32, 0x60, 0x02, 0xdd, + /* (2^446)P */ 0xa3, 0xe5, 0x86, 0xd4, 0x43, 0xa8, 0xd1, 0x98, 0x9d, 0x9d, 0xdb, 0x04, 0xcf, 0x6e, 0x35, 0x05, 0x30, 0x53, 0x3b, 0xbc, 0x90, 0x00, 0x4a, 0xc5, 0x40, 0x2a, 0x0f, 0xde, 0x1a, 0xd7, 0x36, 0x27, 0x44, 0x62, 0xa6, 0xac, 0x9d, 0xd2, 0x70, 0x69, 0x14, 0x39, 0x9b, 0xd1, 0xc3, 0x0a, 0x3a, 0x82, 0x0e, 0xf1, 0x94, 0xd7, 0x42, 0x94, 0xd5, 0x7d, + /* (2^447)P */ 0x04, 0xc0, 0x6e, 0x12, 0x90, 0x70, 0xf9, 0xdf, 0xf7, 0xc9, 0x86, 0xc0, 0xe6, 0x92, 0x8b, 0x0a, 0xa1, 0xc1, 0x3b, 0xcc, 0x33, 0xb7, 0xf0, 0xeb, 0x51, 0x50, 0x80, 0x20, 0x69, 0x1c, 0x4f, 0x89, 0x05, 0x1e, 0xe4, 0x7a, 0x0a, 0xc2, 0xf0, 0xf5, 0x78, 0x91, 0x76, 0x34, 0x45, 0xdc, 0x24, 0x53, 0x24, 0x98, 0xe2, 0x73, 0x6f, 0xe6, 0x46, 0x67, +} diff --git a/src/circl/dh/x448/testdata/rfc7748_kat_test.json b/src/circl/dh/x448/testdata/rfc7748_kat_test.json new file mode 100644 index 00000000000..782c85a0441 --- /dev/null +++ b/src/circl/dh/x448/testdata/rfc7748_kat_test.json @@ -0,0 +1,32 @@ +[ + { + "input": "06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9814dc031ddbdc38c19c6da2583fa5429db94ada18aa7a7fb4ef8a086", + "output": "ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239fe14fbaadeb445fc66a01b0779d98223961111e21766282f73dd96b6f", + "scalar": "3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3" + }, + { + "input": "0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b165d015894e56c4d3570bee52fe205e28a78b91cdfbde71ce8d157db", + "output": "884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7ad1b3ee3a5700df34321d62077e63633c575c1c954514e99da7c179d", + "scalar": "203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c538345dd77c3e4806e25f46d3315c44e0a5b4371282dd2c8d5be3095f" + }, + { + "input": "0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "output": "9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0", + "scalar": "9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b" + }, + { + "input": "0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "output": "3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609", + "scalar": "1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d" + }, + { + "input": "3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609", + "output": "07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d", + "scalar": "9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b" + }, + { + "input": "9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0", + "output": "07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d", + "scalar": "1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d" + } +] diff --git a/src/circl/dh/x448/testdata/rfc7748_times_test.json b/src/circl/dh/x448/testdata/rfc7748_times_test.json new file mode 100644 index 00000000000..f55e7289ae2 --- /dev/null +++ b/src/circl/dh/x448/testdata/rfc7748_times_test.json @@ -0,0 +1,14 @@ +[ + { + "times": 1, + "key": "3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113" + }, + { + "times": 1000, + "key": "aa3b4749d55b9daf1e5b00288826c467274ce3ebbdd5c17b975e09d4af6c67cf10d087202db88286e2b79fceea3ec353ef54faa26e219f38" + }, + { + "times": 1000000, + "key": "077f453681caca3693198420bbe515cae0002472519b3e67661a7e89cab94695c8f4bcd66e61b9b9c946da8d524de3d69bd9d9d66b997e37" + } +] diff --git a/src/circl/doc.go b/src/circl/doc.go new file mode 100644 index 00000000000..e31ac13b1ab --- /dev/null +++ b/src/circl/doc.go @@ -0,0 +1,8 @@ +// Package circl provides a collection of cryptographic primitives. The goal +// of this module is to be used as a tool for experimental deployment of +// cryptographic algorithms targeting Post-Quantum (PQ) and Elliptic +// Curve Cryptography (ECC). +// +// Following blog post describes ideas behind CIRCL in more details: +// https://blog.cloudflare.com/introducing-circl/ +package circl // circl diff --git a/src/circl/ecc/doc.go b/src/circl/ecc/doc.go new file mode 100644 index 00000000000..ab758514cec --- /dev/null +++ b/src/circl/ecc/doc.go @@ -0,0 +1,2 @@ +// Package ecc provides implementation of arithmetic on some elliptic curves. +package ecc diff --git a/src/circl/ecc/fourq/curve.go b/src/circl/ecc/fourq/curve.go new file mode 100644 index 00000000000..1a9e5af0802 --- /dev/null +++ b/src/circl/ecc/fourq/curve.go @@ -0,0 +1,96 @@ +package fourq + +import ( + "math/big" + + "circl/internal/conv" +) + +// Size of scalars used for point multiplication. +const Size = 32 + +// Point represents an affine point of the curve. The identity is (0,1). +type Point struct{ X, Y Fq } + +// CurveParams contains the parameters of the elliptic curve. +type CurveParams struct { + Name string // The canonical name of the curve. + P *big.Int // The order of the underlying field Fp. + N *big.Int // The order of the generator point. + G Point // This is the generator point. +} + +// Params returns the parameters for the curve. +func Params() *CurveParams { + params := CurveParams{Name: "FourQ"} + params.P = conv.Uint64Le2BigInt(prime[:]) + params.N = conv.Uint64Le2BigInt(orderGenerator[:]) + params.G.X = genX + params.G.Y = genY + return ¶ms +} + +// IsOnCurve reports whether the given P=(x,y) lies on the curve. +func (P *Point) IsOnCurve() bool { + var _P pointR1 + P.toR1(&_P) + return _P.IsOnCurve() +} + +// SetGenerator assigns to P the generator point G. +func (P *Point) SetGenerator() { P.X = genX; P.Y = genY } + +// SetIdentity assigns to P the identity element. +func (P *Point) SetIdentity() { + var _P pointR1 + _P.SetIdentity() + P.fromR1(&_P) +} + +// IsIdentity returns true if P is the identity element. +func (P *Point) IsIdentity() bool { + var _P pointR1 + P.toR1(&_P) + return _P.IsIdentity() +} + +// Add calculates a point addition P = Q + R. +func (P *Point) Add(Q, R *Point) { + var _Q, _R pointR1 + var _R2 pointR2 + Q.toR1(&_Q) + R.toR1(&_R) + _R2.FromR1(&_R) + _Q.add(&_R2) + P.fromR1(&_Q) +} + +// ScalarMult calculates P = k*Q, where Q is an N-torsion point. +func (P *Point) ScalarMult(k *[Size]byte, Q *Point) { + var _P, _Q pointR1 + Q.toR1(&_Q) + _Q.ClearCofactor() + _P.ScalarMult(k, &_Q) + P.fromR1(&_P) +} + +// ScalarBaseMult calculates P = k*G, where G is the generator point. +func (P *Point) ScalarBaseMult(k *[Size]byte) { + var _P pointR1 + _P.ScalarBaseMult(k) + P.fromR1(&_P) +} + +func (P *Point) fromR1(Q *pointR1) { + Q.ToAffine() + P.X = Q.X + P.Y = Q.Y +} + +func (P *Point) toR1(projP *pointR1) { + projP.X = P.X + projP.Y = P.Y + projP.Ta = P.X + projP.Tb = P.Y + projP.Z.setOne() +} diff --git a/src/circl/ecc/fourq/curve_test.go b/src/circl/ecc/fourq/curve_test.go new file mode 100644 index 00000000000..a574a95a07c --- /dev/null +++ b/src/circl/ecc/fourq/curve_test.go @@ -0,0 +1,108 @@ +package fourq + +import ( + "crypto/rand" + "testing" + + "circl/internal/conv" + "circl/internal/test" +) + +func (P *Point) random() { + var _P pointR1 + _P.random() + P.fromR1(&_P) +} + +func TestMarshal(t *testing.T) { + testTimes := 1 << 10 + var buf, k [Size]byte + var P, Q, R Point + t.Run("k*um(P)=kP", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + P.random() + _, _ = rand.Read(k[:]) + + P.Marshal(&buf) + if ok := Q.Unmarshal(&buf); !ok { + test.ReportError(t, ok, true) + } + Q.ScalarMult(&k, &Q) + R.ScalarMult(&k, &P) + + got := Q.X + want := R.X + if got != want { + test.ReportError(t, got, want, P, k) + } + got = Q.Y + want = R.Y + if got != want { + test.ReportError(t, got, want, P, k) + } + } + }) + t.Run("m(kP)~=m(-kP)", func(t *testing.T) { + c := Params() + var minusK, encQ, encR [Size]byte + for i := 0; i < testTimes; i++ { + P.random() + bigK, _ := rand.Int(rand.Reader, c.N) + conv.BigInt2BytesLe(k[:], bigK) + bigK.Neg(bigK).Mod(bigK, c.N) + conv.BigInt2BytesLe(minusK[:], bigK) + Q.ScalarMult(&k, &P) + R.ScalarMult(&minusK, &P) + Q.Marshal(&encQ) + R.Marshal(&encR) + + got := encQ[31] >> 7 + want := 1 - (encR[31] >> 7) + encQ[31] &= 0x7F + encR[31] &= 0x7F + + if encQ != encR { + test.ReportError(t, encQ, encR, P, k) + } + if got != want { + test.ReportError(t, got, want, P, k) + } + } + }) +} + +func BenchmarkCurve(b *testing.B) { + var P, Q, R Point + var k [32]byte + + _, _ = rand.Read(k[:]) + P.ScalarBaseMult(&k) + _, _ = rand.Read(k[:]) + Q.ScalarBaseMult(&k) + _, _ = rand.Read(k[:]) + R.ScalarBaseMult(&k) + + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.Add(&Q, &R) + } + }) + + b.Run("Double", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.Add(&Q, &Q) + } + }) + + b.Run("ScalarBaseMult", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.ScalarBaseMult(&k) + } + }) + + b.Run("ScalarMult", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.ScalarMult(&k, &Q) + } + }) +} diff --git a/src/circl/ecc/fourq/doc.go b/src/circl/ecc/fourq/doc.go new file mode 100644 index 00000000000..1d0c354de77 --- /dev/null +++ b/src/circl/ecc/fourq/doc.go @@ -0,0 +1,11 @@ +// Package fourq provides elliptic curve operations over FourQ curve. +// +// FourQ is a high-speed elliptic curve at the 128-bit security level. This package +// contains an AMD64-optimized implementation. In particular, this package does +// not implement FourQ's endomorphisms or lattice reduction techniques. +// +// +// References: +// - https://eprint.iacr.org/2015/565 +// +package fourq diff --git a/src/circl/ecc/fourq/fp.go b/src/circl/ecc/fourq/fp.go new file mode 100644 index 00000000000..8e0ff466437 --- /dev/null +++ b/src/circl/ecc/fourq/fp.go @@ -0,0 +1,112 @@ +package fourq + +import ( + "math/big" + + "circl/internal/conv" +) + +var modulusP = Fp{ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, +} + +// SizeFp is the length in bytes to represent an element in the base field. +const SizeFp = 16 + +// Fp is an element (in littleEndian order) of prime field GF(2^127-1). +type Fp [SizeFp]byte + +func (f *Fp) String() string { return conv.BytesLe2Hex(f[:]) } +func (f *Fp) isZero() bool { fpMod(f); return *f == Fp{} } +func (f *Fp) toBigInt() *big.Int { fpMod(f); return conv.BytesLe2BigInt(f[:]) } +func (f *Fp) setBigInt(b *big.Int) { conv.BigInt2BytesLe((*f)[:], b); fpMod(f) } +func (f *Fp) toBytes(buf []byte) { + if len(buf) == SizeFp { + fpMod(f) + copy(buf, f[:]) + } +} +func (f *Fp) fromBytes(buf []byte) bool { + if len(buf) == SizeFp { + if (buf[SizeFp-1] >> 7) == 0 { + copy(f[:], buf) + fpMod(f) + return true + } + } + return false +} +func fpNeg(c, a *Fp) { fpSub(c, &modulusP, a) } + +// fqSgn returns the sign of an element. +// +// -1 if x > (p+1)/2 +// 0 if x == 0 +// +1 if x > (p+1)/2. +func fpSgn(c *Fp) int { + s := 0 + if !c.isZero() { + b := int(c[SizeFp-1]>>6) & 0x1 + s = 1 - (b << 1) + } + return s +} + +// fpTwo1251 sets c = a^(2^125-1). +func fpTwo1251(c, a *Fp) { + t1, t2, t3, t4, t5 := &Fp{}, &Fp{}, &Fp{}, &Fp{}, &Fp{} + + fpSqr(t2, a) + fpMul(t2, t2, a) + fpSqr(t3, t2) + fpSqr(t3, t3) + fpMul(t3, t3, t2) + fpSqr(t4, t3) + fpSqr(t4, t4) + fpSqr(t4, t4) + fpSqr(t4, t4) + fpMul(t4, t4, t3) + fpSqr(t5, t4) + for i := 0; i < 7; i++ { + fpSqr(t5, t5) + } + fpMul(t5, t5, t4) + fpSqr(t2, t5) + for i := 0; i < 15; i++ { + fpSqr(t2, t2) + } + fpMul(t2, t2, t5) + fpSqr(t1, t2) + for i := 0; i < 31; i++ { + fpSqr(t1, t1) + } + fpMul(t1, t1, t2) + for i := 0; i < 32; i++ { + fpSqr(t1, t1) + } + fpMul(t1, t2, t1) + for i := 0; i < 16; i++ { + fpSqr(t1, t1) + } + fpMul(t1, t1, t5) + for i := 0; i < 8; i++ { + fpSqr(t1, t1) + } + fpMul(t1, t1, t4) + for i := 0; i < 4; i++ { + fpSqr(t1, t1) + } + fpMul(t1, t1, t3) + fpSqr(t1, t1) + fpMul(c, a, t1) +} + +// fpInv sets z to a^(-1) mod p. +func fpInv(z, a *Fp) { + t := &Fp{} + fpTwo1251(t, a) + fpSqr(t, t) + fpSqr(t, t) + fpMul(z, t, a) +} diff --git a/src/circl/ecc/fourq/fp_amd64.go b/src/circl/ecc/fourq/fp_amd64.go new file mode 100644 index 00000000000..601d3d6b1eb --- /dev/null +++ b/src/circl/ecc/fourq/fp_amd64.go @@ -0,0 +1,27 @@ +// +build amd64,!purego + +package fourq + +import ( + "internal/cpu" +) + +var hasBMI2 = cpu.X86.HasBMI2 //nolint + +//go:noescape +func fpMod(c *Fp) + +//go:noescape +func fpAdd(c, a, b *Fp) + +//go:noescape +func fpSub(c, a, b *Fp) + +//go:noescape +func fpMul(c, a, b *Fp) + +//go:noescape +func fpSqr(c, a *Fp) + +//go:noescape +func fpHlf(c, a *Fp) diff --git a/src/circl/ecc/fourq/fp_amd64.h b/src/circl/ecc/fourq/fp_amd64.h new file mode 100644 index 00000000000..17b5cf30613 --- /dev/null +++ b/src/circl/ecc/fourq/fp_amd64.h @@ -0,0 +1,85 @@ +// CHECK_BMI2 triggers bmi2 if supported, +// otherwise it fallbacks to legacy code. +#define CHECK_BMI2(label, legacy, bmi2) \ + CMPB ·hasBMI2(SB), $0 \ + JE label \ + bmi2 \ + RET \ + label: \ + legacy \ + RET + +#define _fpReduce(c0, c1) \ + BTRQ $63, c1 \ + ADCQ $0, c0 \ + ADCQ $0, c1 + +// _fpMod: c = c mod p +// Uses: AX, DX, FLAGS +// Instr: x86_64 +#define _fpMod(c) \ + MOVQ 0+c, AX \ + MOVQ 8+c, DX \ + SUBQ ·modulusP+0(SB), AX \ + SBBQ ·modulusP+8(SB), DX \ + BTRQ $63, DX \ + SBBQ $0, AX \ + SBBQ $0, DX \ + _fpReduce(AX, DX) \ + _fpReduce(AX, DX) \ + MOVQ AX, 0+c \ + MOVQ DX, 8+c + +// _fpAdd: c = a + b +// Uses: AX, DX, FLAGS +// Instr: x86_64 +#define _fpAdd(c,a,b) \ + MOVQ 0+a, AX \ + MOVQ 8+a, DX \ + ADDQ 0+b, AX \ + ADCQ 8+b, DX \ + _fpReduce(AX, DX) \ + MOVQ AX, 0+c \ + MOVQ DX, 8+c + +// _fpSub: c = a - b +// Uses: AX, DX, FLAGS +// Instr: x86_64 +#define _fpSub(c,a,b) \ + MOVQ 0+a, AX \ + MOVQ 8+a, DX \ + SUBQ 0+b, AX \ + SBBQ 8+b, DX \ + BTRQ $63, DX \ + SBBQ $0, AX \ + SBBQ $0, DX \ + MOVQ AX, 0+c \ + MOVQ DX, 8+c + +#define _fpMulLeg(C2, C1, C0, a, b) \ + MOVQ $0, C2 \ + MOVQ 0+b, CX \ + MOVQ 0+a, AX \ + MULQ CX \ + MOVQ AX, C0 \ + MOVQ DX, C1 \ + MOVQ 8+a, AX \ + MULQ CX \ + SHLQ $1,DX \ + ADDQ DX,C0 \ + ADCQ AX, C1 \ + ADCQ $0, C2 \ + MOVQ 8+b, CX \ + MOVQ 0+a, AX \ + MULQ CX \ + SHLQ $1,DX \ + ADDQ DX,C0 \ + ADCQ AX, C1 \ + ADCQ $0, C2 \ + MOVQ 8+a, AX \ + MULQ CX \ + SHLQ $1,AX,DX \ + SHLQ $1,AX \ + ADDQ AX,C0 \ + ADCQ DX, C1 \ + ADCQ $0, C2 diff --git a/src/circl/ecc/fourq/fp_amd64.s b/src/circl/ecc/fourq/fp_amd64.s new file mode 100644 index 00000000000..9543bd260e5 --- /dev/null +++ b/src/circl/ecc/fourq/fp_amd64.s @@ -0,0 +1,100 @@ +// +build amd64,!purego + +#include "textflag.h" +#include "fp_amd64.h" + +// fpModp sets e to zero if it is equal to p. This is the only case where c +// will not naturally be reduced to canonical form. +// func fpMod(c *fp) +TEXT ·fpMod(SB),0,$0-8 + MOVQ c+0(FP), DI + _fpMod(0(DI)) + RET + +// func fpAdd(c, a, b *fp) +TEXT ·fpAdd(SB),0,$0-24 + MOVQ c+0(FP), DI + MOVQ a+8(FP), SI + MOVQ b+16(FP), BX + _fpAdd(0(DI), 0(SI), 0(BX)) + RET + +// func fpSub(c, a, b *fp) +TEXT ·fpSub(SB),0,$0-24 + MOVQ c+0(FP), DI + MOVQ a+8(FP), SI + MOVQ b+16(FP), BX + _fpSub(0(DI), 0(SI), 0(BX)) + RET + +// func fpHlf(c, a *fp) +TEXT ·fpHlf(SB),0,$0-16 + MOVQ a+8(FP), DI + MOVQ 0(DI), AX + MOVQ 8(DI), BX + + SHLQ $1, BX + SHRQ $1, AX, BX + SHRQ $1, BX, AX + SHRQ $1, BX + + MOVQ c+0(FP), DI + MOVQ AX, 0(DI) + MOVQ BX, 8(DI) + RET + +// func fpMul(c, a, b *fp) +TEXT ·fpMul(SB),0,$0-24 + MOVQ a+8(FP), DI + MOVQ b+16(FP), SI + _fpMulLeg(R10, R9, R8, 0(DI), 0(SI)) + SHLQ $1, R10 + BTRQ $63, R9 + ADCQ R10, R8 + ADCQ $0, R9 + _fpReduce(R8, R9) + + MOVQ c+0(FP), DI + MOVQ R8, 0(DI) + MOVQ R9, 8(DI) + RET + +// func fpSqr(c, a *fp) +TEXT ·fpSqr(SB),0,$0-16 + MOVQ a+8(FP), DI + MOVQ $0, CX + + MOVQ 0(DI), AX + MULQ 0(DI) + MOVQ AX, R8 + MOVQ DX, R9 + + MOVQ 0(DI), AX + MULQ 8(DI) + SHLQ $1, DX + ADDQ DX, R8 + ADCQ AX, R9 + ADCQ $0, CX + ADDQ DX, R8 + ADCQ AX, R9 + ADCQ $0, CX + + MOVQ 8(DI), AX + MULQ 8(DI) + SHLQ $1, DX + SHLQ $1, AX + ADCQ $0, DX + ADDQ AX, R8 + ADCQ DX, R9 + ADCQ $0, CX + + SHLQ $1, CX + BTRQ $63, R9 + ADCQ CX, R8 + ADCQ $0, R9 + _fpReduce(R8, R9) + + MOVQ c+0(FP), DI + MOVQ R8, 0(DI) + MOVQ R9, 8(DI) + RET diff --git a/src/circl/ecc/fourq/fp_generic.go b/src/circl/ecc/fourq/fp_generic.go new file mode 100644 index 00000000000..4f644439412 --- /dev/null +++ b/src/circl/ecc/fourq/fp_generic.go @@ -0,0 +1,96 @@ +// +build go1.12 + +package fourq + +import ( + "encoding/binary" + "math/bits" +) + +func fpModGeneric(c *Fp) { fpSubGeneric(c, c, &modulusP) } + +func fpAddGeneric(c, a, b *Fp) { + a0 := binary.LittleEndian.Uint64(a[0*8 : 1*8]) + a1 := binary.LittleEndian.Uint64(a[1*8 : 2*8]) + + b0 := binary.LittleEndian.Uint64(b[0*8 : 1*8]) + b1 := binary.LittleEndian.Uint64(b[1*8 : 2*8]) + + c0, x := bits.Add64(a0, b0, 0) + c1, _ := bits.Add64(a1, b1, x) + c1, x = bits.Add64(c1, c1, 0) + c0, x = bits.Add64(c0, 0, x) + c1, _ = bits.Add64(c1>>1, 0, x) + + binary.LittleEndian.PutUint64(c[0*8:1*8], c0) + binary.LittleEndian.PutUint64(c[1*8:2*8], c1) +} + +func fpSubGeneric(c, a, b *Fp) { + a0 := binary.LittleEndian.Uint64(a[0*8 : 1*8]) + a1 := binary.LittleEndian.Uint64(a[1*8 : 2*8]) + + b0 := binary.LittleEndian.Uint64(b[0*8 : 1*8]) + b1 := binary.LittleEndian.Uint64(b[1*8 : 2*8]) + + c0, x := bits.Sub64(a0, b0, 0) + c1, _ := bits.Sub64(a1, b1, x) + c1, x = bits.Add64(c1, c1, 0) + c0, x = bits.Sub64(c0, 0, x) + c1, _ = bits.Sub64(c1>>1, 0, x) + + binary.LittleEndian.PutUint64(c[0*8:1*8], c0) + binary.LittleEndian.PutUint64(c[1*8:2*8], c1) +} + +func fpMulGeneric(c, a, b *Fp) { + a0 := binary.LittleEndian.Uint64(a[0*8 : 1*8]) + a1 := binary.LittleEndian.Uint64(a[1*8 : 2*8]) + + b0 := binary.LittleEndian.Uint64(b[0*8 : 1*8]) + b1 := binary.LittleEndian.Uint64(b[1*8 : 2*8]) + + c1, c0 := bits.Mul64(a0, b0) + hi, lo := bits.Mul64(a0, b1) + c0, x := bits.Add64(c0, hi<<1, 0) + c1, x = bits.Add64(c1, lo, x) + c2, _ := bits.Add64(0, 0, x) + + hi, lo = bits.Mul64(a1, b0) + c0, x = bits.Add64(c0, hi<<1, 0) + c1, x = bits.Add64(c1, lo, x) + c2, _ = bits.Add64(c2, 0, x) + + hi, lo = bits.Mul64(a1, b1) + lo, x = bits.Add64(lo, lo, 0) + hi, _ = bits.Add64(hi, hi, x) + + c0, x = bits.Add64(c0, lo, 0) + c1, x = bits.Add64(c1, hi, x) + c2, _ = bits.Add64(c2, 0, x) + + c1, x = bits.Add64(c1, c1, 0) + c0, x = bits.Add64(c0, c2<<1, x) + c1, _ = bits.Add64(c1>>1, 0, x) + + c1, x = bits.Add64(c1, c1, 0) + c0, x = bits.Add64(c0, 0, x) + c1, _ = bits.Add64(c1>>1, 0, x) + + binary.LittleEndian.PutUint64(c[0*8:1*8], c0) + binary.LittleEndian.PutUint64(c[1*8:2*8], c1) +} + +func fpSqrGeneric(c, a *Fp) { fpMulGeneric(c, a, a) } + +func fpHlfGeneric(c, a *Fp) { + a0 := binary.LittleEndian.Uint64(a[0*8 : 1*8]) + a1 := binary.LittleEndian.Uint64(a[1*8 : 2*8]) + + hlf := a0 & 0x1 + c0 := (a1 << 63) | (a0 >> 1) + c1 := (hlf << 62) | (a1 >> 1) + + binary.LittleEndian.PutUint64(c[0*8:1*8], c0) + binary.LittleEndian.PutUint64(c[1*8:2*8], c1) +} diff --git a/src/circl/ecc/fourq/fp_noasm.go b/src/circl/ecc/fourq/fp_noasm.go new file mode 100644 index 00000000000..5bc032e60af --- /dev/null +++ b/src/circl/ecc/fourq/fp_noasm.go @@ -0,0 +1,10 @@ +// +build !amd64 purego + +package fourq + +func fpMod(c *Fp) { fpModGeneric(c) } +func fpAdd(c, a, b *Fp) { fpAddGeneric(c, a, b) } +func fpSub(c, a, b *Fp) { fpSubGeneric(c, a, b) } +func fpMul(c, a, b *Fp) { fpMulGeneric(c, a, b) } +func fpSqr(c, a *Fp) { fpSqrGeneric(c, a) } +func fpHlf(c, a *Fp) { fpHlfGeneric(c, a) } diff --git a/src/circl/ecc/fourq/fp_test.go b/src/circl/ecc/fourq/fp_test.go new file mode 100644 index 00000000000..6d64ef4b8ba --- /dev/null +++ b/src/circl/ecc/fourq/fp_test.go @@ -0,0 +1,337 @@ +package fourq + +import ( + "crypto/rand" + "math/big" + "testing" + + "circl/internal/test" +) + +type tFpAdd = func(z, x, y *Fp) +type tFpSub = func(z, x, y *Fp) +type tFpMul = func(z, x, y *Fp) +type tFpSqr = func(z, x *Fp) +type tFpHlf = func(z, x *Fp) +type tFpModp = func(z *Fp) + +func getModulus() *big.Int { + p := big.NewInt(1) + return p.Lsh(p, 127).Sub(p, big.NewInt(1)) +} + +func TestFpSign(t *testing.T) { + const testTimes = 1 << 9 + P := getModulus() + x := &Fp{} + var P1div2 big.Int + P1div2.Add(P, big.NewInt(1)).Rsh(&P1div2, 1) // (p+1)/2 + + // Verifying Sign(0) = 0 + x.setBigInt(big.NewInt(0)) + got := fpSgn(x) + want := 0 + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying Sign(P) = 0 + x.setBigInt(P) + got = fpSgn(x) + want = 0 + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying Sign( (p+1)/2 ) = -1 + x.setBigInt(&P1div2) + got = fpSgn(x) + want = -1 + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying x be a non-zero positive + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, &P1div2) + x.setBigInt(bigX) + got = fpSgn(x) + want = 1 + if got != want { + test.ReportError(t, got, want, x) + } + } + // Verifying x be a non-zero negative + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, &P1div2) + bigX.Add(bigX, &P1div2) + x.setBigInt(bigX) + got = fpSgn(x) + want = -1 + if got != want { + test.ReportError(t, got, want, x) + } + } +} + +func TestFpIsZero(t *testing.T) { + P := getModulus() + x := &Fp{} + // Verifying x=0 + x.setBigInt(big.NewInt(0)) + got := x.isZero() + want := true + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying x=P goes to 0 + x.setBigInt(P) + got = x.isZero() + want = true + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying x!=0 + _, _ = rand.Read(x[:]) + got = x.isZero() + want = false + if got != want { + test.ReportError(t, got, want, x) + } +} + +func testFpModp(t *testing.T, f tFpModp) { + const testTimes = 1 << 9 + P := getModulus() + x := &Fp{} + var bigX big.Int + // Verifying x=P goes to 0 + bigX.Set(P) + x.setBigInt(&bigX) + f(x) + got := x.toBigInt() + want := big.NewInt(0) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + + // Verifying x=P+1 goes to 1 + bigX.Add(P, big.NewInt(1)) + x.setBigInt(&bigX) + f(x) + got = x.toBigInt() + want = big.NewInt(1) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + + bigX := x.toBigInt() + + fpMod(x) + got := x.toBigInt() + + want := bigX.Mod(bigX, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestFpNeg(t *testing.T) { + const testTimes = 1 << 9 + P := getModulus() + x, z := &Fp{}, &Fp{} + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX) + fpNeg(z, x) + got := z.toBigInt() + + want := bigX.Neg(bigX) + want = want.Mod(want, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func testFpHlf(t *testing.T, f tFpHlf) { + const testTimes = 1 << 9 + P := getModulus() + x, z := &Fp{}, &Fp{} + invTwo := big.NewInt(2) + invTwo.ModInverse(invTwo, P) + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX) + f(z, x) + got := z.toBigInt() + + want := bigX.Mul(bigX, invTwo) + want = want.Mod(want, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func testFpAdd(t *testing.T, f tFpAdd) { + const testTimes = 1 << 9 + P := getModulus() + x, y, z := &Fp{}, &Fp{}, &Fp{} + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, P) + bigY, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX) + y.setBigInt(bigY) + f(z, x, y) + got := z.toBigInt() + + want := bigX.Add(bigX, bigY) + want = want.Mod(want, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testFpSub(t *testing.T, f tFpSub) { + const testTimes = 1 << 9 + P := getModulus() + x, y, z := &Fp{}, &Fp{}, &Fp{} + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, P) + bigY, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX) + y.setBigInt(bigY) + f(z, x, y) + got := z.toBigInt() + + want := bigX.Sub(bigX, bigY) + want = want.Mod(want, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testFpMul(t *testing.T, f tFpMul) { + const testTimes = 1 << 9 + P := getModulus() + x, y, z := &Fp{}, &Fp{}, &Fp{} + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, P) + bigY, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX) + y.setBigInt(bigY) + f(z, x, y) + got := z.toBigInt() + + want := bigX.Mul(bigX, bigY) + want = want.Mod(want, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testFpSqr(t *testing.T, f tFpSqr) { + const testTimes = 1 << 9 + P := getModulus() + x, z := &Fp{}, &Fp{} + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX) + f(z, x) + got := z.toBigInt() + + want := bigX.Mul(bigX, bigX) + want = want.Mod(want, P) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestFpInv(t *testing.T) { + const testTimes = 1 << 9 + P := getModulus() + x, z := &Fp{}, &Fp{} + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX) + fpInv(z, x) + got := z.toBigInt() + + want := bigX.ModInverse(bigX, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestFpGeneric(t *testing.T) { + t.Run("Add", func(t *testing.T) { testFpAdd(t, fpAddGeneric) }) + t.Run("Sub", func(t *testing.T) { testFpSub(t, fpSubGeneric) }) + t.Run("Mul", func(t *testing.T) { testFpMul(t, fpMulGeneric) }) + t.Run("Sqr", func(t *testing.T) { testFpSqr(t, fpSqrGeneric) }) + t.Run("Hlf", func(t *testing.T) { testFpHlf(t, fpHlfGeneric) }) + t.Run("Modp", func(t *testing.T) { testFpModp(t, fpModGeneric) }) +} + +func TestFpNative(t *testing.T) { + t.Run("Add", func(t *testing.T) { testFpAdd(t, fpAdd) }) + t.Run("Sub", func(t *testing.T) { testFpSub(t, fpSub) }) + t.Run("Mul", func(t *testing.T) { testFpMul(t, fpMul) }) + t.Run("Sqr", func(t *testing.T) { testFpSqr(t, fpSqr) }) + t.Run("Hlf", func(t *testing.T) { testFpHlf(t, fpHlf) }) + t.Run("Modp", func(t *testing.T) { testFpModp(t, fpMod) }) +} + +func BenchmarkFp(b *testing.B) { + x, y, z := &Fp{}, &Fp{}, &Fp{} + p := getModulus() + n, _ := rand.Int(rand.Reader, p) + x.setBigInt(n) + n, _ = rand.Int(rand.Reader, p) + y.setBigInt(n) + + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fpAdd(z, x, y) + } + }) + b.Run("Sub", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fpSub(z, x, y) + } + }) + b.Run("Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fpMul(z, x, y) + } + }) + b.Run("Sqr", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fpSqr(z, x) + } + }) + b.Run("Inv", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fpInv(z, x) + } + }) +} diff --git a/src/circl/ecc/fourq/fq.go b/src/circl/ecc/fourq/fq.go new file mode 100644 index 00000000000..5456fc3b5c1 --- /dev/null +++ b/src/circl/ecc/fourq/fq.go @@ -0,0 +1,114 @@ +package fourq + +import ( + "crypto/subtle" + "math/big" +) + +// Fq implements operations of a field of size q=p^2 as a quadratic +// extension of the base field where i^2=-1. +// An element in Fq is represented as f[0]+f[1]*i, where f[0],f[1] are in Fp. +type Fq [2]Fp + +func (e *Fq) String() string { return e[1].String() + " *i+ " + e[0].String() } +func (e *Fq) toBigInt() (f0, f1 *big.Int) { return e[0].toBigInt(), e[1].toBigInt() } +func (e *Fq) setBigInt(f0, f1 *big.Int) { e[0].setBigInt(f0); e[1].setBigInt(f1) } +func (e *Fq) setZero() { var z Fp; e[0] = z; e[1] = z } +func (e *Fq) setOne() { e.setZero(); e[0][0] = 1 } +func (e *Fq) isZero() bool { return e[0].isZero() && e[1].isZero() } + +func (e *Fq) toBytes(buf []byte) { + if len(buf) == 2*SizeFp { + e[0].toBytes(buf[:SizeFp]) + e[1].toBytes(buf[SizeFp:]) + } +} +func (e *Fq) fromBytes(buf []byte) bool { + if len(buf) == 2*SizeFp { + return e[0].fromBytes(buf[:SizeFp]) && + e[1].fromBytes(buf[SizeFp:]) + } + return false +} + +func fqSgn(c *Fq) int { + s0 := fpSgn(&c[0]) + s1 := fpSgn(&c[1]) + return subtle.ConstantTimeSelect(s0&0x1, s0, s1) +} +func fqCopy(c, a *Fq) { *c = *a } +func fqNeg(c, a *Fq) { fpNeg(&c[0], &a[0]); fpNeg(&c[1], &a[1]) } + +// fqSqrt calculates c = sqrt(u/v) such that sgn(c)=s. +func fqSqrt(c, u, v *Fq, s int) { + t0, t1, t, r := &Fp{}, &Fp{}, &Fp{}, &Fp{} + a, b, g := &Fp{}, &Fp{}, &Fp{} + + // a = u0*v0 + u1*v1 + fpMul(a, &u[0], &v[0]) + fpMul(t0, &u[1], &v[1]) + fpAdd(a, a, t0) + + // b = v0^2 + v1^2 + fpSqr(b, &v[0]) + fpSqr(t0, &v[1]) + fpAdd(b, b, t0) + + // g = u1*v0 - u0*v1 + fpMul(g, &u[1], &v[0]) + fpMul(t0, &u[0], &v[1]) + fpSub(g, g, t0) + + // t = 2(a + sqrt(a^2+g^2)) = 2*(a + (a^2+g^2)^(2^125)) + // if t=0; then t = 2*(a - (a^2+g^2)^(2^125)) + fpSqr(t0, a) + fpSqr(t1, g) + fpAdd(t0, t0, t1) + for i := 0; i < 125; i++ { + fpSqr(t0, t0) + } + fpAdd(t, a, t0) + if t.isZero() { + fpSub(t, a, t0) + } + fpAdd(t, t, t) + + // r = (t*b^3)^(2^125-1) + fpSqr(r, b) + fpMul(r, r, b) + fpMul(r, r, t) + fpTwo1251(r, r) + + // x0 = (r*b*t)/2 + // x1 = (r*b*g) + fpMul(&c[1], r, b) + fpMul(&c[0], &c[1], t) + fpHlf(&c[0], &c[0]) + fpMul(&c[1], &c[1], g) + + // if b*(2*x0)^2 == t then (x0,x1) <- (x1,x0) + fpAdd(t0, &c[0], &c[0]) + fpSqr(t0, t0) + fpMul(t0, t0, b) + fpSub(t0, t0, t) + if !t0.isZero() { + *t0 = c[0] + c[0] = c[1] + c[1] = *t0 + } + + if fqSgn(c) != s { + fqNeg(c, c) + } +} + +func fqInv(c, a *Fq) { + t1, t2 := &Fp{}, &Fp{} + fpSqr(t1, &a[0]) + fpSqr(t2, &a[1]) + fpAdd(t1, t1, t2) + fpInv(t1, t1) + fpMul(&c[0], &a[0], t1) + fpNeg(t1, t1) + fpMul(&c[1], &a[1], t1) +} diff --git a/src/circl/ecc/fourq/fq_amd64.go b/src/circl/ecc/fourq/fq_amd64.go new file mode 100644 index 00000000000..e4d4810ab32 --- /dev/null +++ b/src/circl/ecc/fourq/fq_amd64.go @@ -0,0 +1,18 @@ +// +build amd64,!purego + +package fourq + +//go:noescape +func fqCmov(c, a *Fq, b int) + +//go:noescape +func fqAdd(c, a, b *Fq) + +//go:noescape +func fqSub(c, a, b *Fq) + +//go:noescape +func fqMul(c, a, b *Fq) + +//go:noescape +func fqSqr(c, a *Fq) diff --git a/src/circl/ecc/fourq/fq_amd64.h b/src/circl/ecc/fourq/fq_amd64.h new file mode 100644 index 00000000000..746a99979f3 --- /dev/null +++ b/src/circl/ecc/fourq/fq_amd64.h @@ -0,0 +1,216 @@ +#include "fp_amd64.h" + +#define _fqAdd(c,a,b) \ + _fpAdd( 0+c, 0+a, 0+b) \ + _fpAdd(16+c,16+a,16+b) + +#define _fqSub(c,a,b) \ + _fpSub( 0+c, 0+a, 0+b) \ + _fpSub(16+c,16+a,16+b) + +#define _fqMulBmi2(c, a, b) \ + \ // T0 = a0 * b0, R11:R10:R9:R8 <- 0+ra:8+ra * 0+rb:8+rb + MOVQ 0+b, DX \ + MULXQ 0+a, R8, R9 \ + MULXQ 8+a, R10, AX \ + ADDQ R10, R9 \ + MOVQ 8+b, DX \ + MULXQ 8+a, R10, R11 \ + ADCQ AX, R10 \ + MULXQ 0+a, DX, AX \ + ADCQ $0, R11 \ + ADDQ DX, R9 \ + \ + \ // T1 = a1 * b1, R15:R14:R13:R12 <- 16+ra:24+ra * 16+rb:24+rb + MOVQ 16+b, DX \ + MULXQ 16+a, R12, R13 \ + ADCQ AX, R10 \ + MULXQ 24+a, R14, AX \ + ADCQ $0, R11 \ + MOVQ 24+b, DX \ + ADDQ R14, R13 \ + MULXQ 24+a, R14, R15 \ + ADCQ AX, R14 \ + ADCQ $0, R15 \ + MULXQ 16+a, DX, AX \ + ADDQ DX, R13 \ + ADCQ AX, R14 \ + ADCQ $0, R15 \ + \ + \ // c0 = T0 - T1 = a0*b0 - a1*b1 + SUBQ R12, R8 \ + SBBQ R13, R9 \ + SBBQ R14, R10 \ + SBBQ R15, R11 \ + \ + SHLQ $1, R10, R11 \ + SHLQ $1, R9, R10 \ + MOVQ 16+b, DX \ + BTRQ $63, R9 \ + \ + \ // T0 = a0 * b1, R15:R14:R13:R12 <- 0+ra:8+ra * 16+rb:24+rb + MULXQ 0+a, R12, R13 \ + BTRQ $63, R11 \ + SBBQ $0, R10 \ + SBBQ $0, R11 \ + MULXQ 8+a, R14, AX \ + ADDQ R14, R13 \ + MOVQ 24+b, DX \ + MULXQ 8+a, R14, R15 \ + ADCQ AX, R14 \ + ADCQ $0, R15 \ + MULXQ 0+a, DX, AX \ + ADDQ DX, R13 \ + ADCQ AX, R14 \ + ADCQ $0, R15 \ + \ + \ // Reducing and storing c0 + ADDQ R8, R10 \ + ADCQ R9, R11 \ + BTRQ $63, R11 \ + ADCQ $0, R10 \ + ADCQ $0, R11 \ + \ + \ // T1 = a1 * b0, R12:R11:R10:R9 <- 16+ra:24+ra * 0+rb:8+rb + MOVQ 0+b, DX \ + MULXQ 16+a, R8, R9 \ + MOVQ R10, 0+c \ + MULXQ 24+a, R10, AX \ + ADDQ R10, R9 \ + MOVQ 8+b, DX \ + MOVQ R11, 8+c \ + MULXQ 24+a, R10, R11 \ + ADCQ AX, R10 \ + ADCQ $0, R11 \ + MULXQ 16+a, DX, AX \ + ADDQ DX, R9 \ + ADCQ AX, R10 \ + ADCQ $0, R11 \ + \ + \ // c1 = T0 + T1 = a0*b1 + a1*b0 + ADDQ R12, R8 \ + ADCQ R13, R9 \ + ADCQ R14, R10 \ + ADCQ R15, R11 \ + \ + \ // Reducing and storing c1 + SHLQ $1, R10, R11 \ + SHLQ $1, R9, R10 \ + BTRQ $63, R9 \ + BTRQ $63, R11 \ + ADCQ R10, R8 \ + ADCQ R11, R9 \ + BTRQ $63, R9 \ + ADCQ $0, R8 \ + ADCQ $0, R9 \ + MOVQ R8, 16+c \ + MOVQ R9, 24+c + +#define _fqMulLeg(c, a, b) \ + _fpMulLeg(R10, R9, R8, 0+a, 0+b) \ + _fpMulLeg(R13,R12,R11,16+a,16+b) \ + MOVQ $0,R14 \ + SUBQ R11, R8 \ + SBBQ R12, R9 \ + SBBQ R13,R10 \ + SBBQ $0,R14 \ + SHLQ $1,R10 \ + BTRQ $63, R9 \ + ADCQ R10, R8 \ + ADCQ R14, R9 \ + MOVQ R8, R14 \ + MOVQ R9, R15 \ + _fpMulLeg(R10, R9, R8, 0+a,16+b) \ + _fpMulLeg(R13,R12,R11,16+a, 0+b) \ + ADDQ R11, R8 \ + ADCQ R12, R9 \ + ADCQ R13,R10 \ + SHLQ $1,R10 \ + BTRQ $63, R9 \ + ADCQ R10, R8 \ + ADCQ $0, R9 \ + MOVQ R14, 0+c \ + MOVQ R15, 8+c \ + MOVQ R8,16+c \ + MOVQ R9,24+c + +#define _fqSqrBmi2(c,a) \ + \ // t0 = R9:R8 = a0 + a1, R14:CX = a1 + MOVQ 0+a, R10 \ + MOVQ 16+a, R14 \ + SUBQ R14, R10 \ + MOVQ 8+a, R11 \ + MOVQ 24+a, CX \ + SBBQ CX, R11 \ + \ + BTRQ $63, R11 \ + SBBQ $0, R10 \ + \ + \ // t1 = R11:R10 = a0 - a1 + MOVQ R10, DX \ + MOVQ 0+a, R8 \ + ADDQ R14, R8 \ + MOVQ 8+a, R9 \ + ADCQ CX, R9 \ + \ + \ // c0 = t0 * t1 = (a0 + a1)*(a0 - a1), CX:R14:R13:R12 <- R9:R8 * R11:R10 + MULXQ R8, R12, R13 \ + SBBQ $0, R11 \ + MULXQ R9, R14, AX \ + MOVQ R11, DX \ + ADDQ R14, R13 \ + MULXQ R9, R14, CX \ + MOVQ 8+a, R9 \ + ADCQ AX, R14 \ + ADCQ $0, CX \ + MULXQ R8, DX, AX \ + MOVQ 0+a, R8 \ + ADDQ DX, R13 \ + ADCQ AX, R14 \ + ADCQ $0, CX \ + \ + \ // t2 = R9:R8 = 2*a0 + ADDQ R8, R8 \ + ADCQ R9, R9 \ + \ + \ // Reducing and storing c0 + SHLQ $1, R14, CX \ + SHLQ $1, R13, R14 \ + BTRQ $63, R13 \ + BTRQ $63, CX \ + ADCQ R14, R12 \ + ADCQ CX, R13 \ + BTRQ $63, R13 \ + ADCQ $0, R12 \ + ADCQ $0, R13 \ + MOVQ R12, 0+c \ + MOVQ R13, 8+c \ + \ + \ // c1 = 2a0 * a1, CX:R14:R11:R10 <- R9:R8 * 16+ra:24+ra + MOVQ 16+a, DX \ + MULXQ R8, R10, R11 \ + MULXQ R9, R14, AX \ + ADDQ R14, R11 \ + MOVQ 24+a, DX \ + MULXQ R9, R14, CX \ + ADCQ AX, R14 \ + ADCQ $0, CX \ + MULXQ R8, DX, AX \ + ADDQ DX, R11 \ + ADCQ AX, R14 \ + ADCQ $0, CX \ + \ + \ // Reduce and store c1 + SHLQ $1, R14, CX \ + SHLQ $1, R11, R14 \ + BTRQ $63, R11 \ + BTRQ $63, CX \ + ADCQ R14, R10 \ + ADCQ CX, R11 \ + BTRQ $63, R11 \ + ADCQ $0, R10 \ + ADCQ $0, R11 \ + MOVQ R10, 16+c \ + MOVQ R11, 24+c + +#define _fqSqrLeg(c,a) _fqMulLeg(c,a,a) diff --git a/src/circl/ecc/fourq/fq_amd64.s b/src/circl/ecc/fourq/fq_amd64.s new file mode 100644 index 00000000000..415fc135dc8 --- /dev/null +++ b/src/circl/ecc/fourq/fq_amd64.s @@ -0,0 +1,56 @@ +// +build amd64,!purego + +#include "fq_amd64.h" + +#define fqMulLegacy \ + _fqMulLeg(0(DI),0(SI),0(BX)) +#define fqMulBmi2 \ + _fqMulBmi2(0(DI),0(SI),0(BX)) + +#define fqSqrLegacy \ + _fqSqrLeg(0(DI),0(SI)) +#define fqSqrBmi2 \ + _fqSqrBmi2(0(DI),0(SI)) + +// func fqCmov(c, a *fq, b int) +TEXT ·fqCmov(SB),0,$0-24 + MOVQ c+0(FP), DI + MOVQ a+8(FP), SI + MOVQ b+16(FP), BX + TESTQ BX, BX + MOVQ 0(DI), AX; MOVQ 0(SI), DX; CMOVQNE DX, AX; MOVQ AX, 0(DI); + MOVQ 8(DI), AX; MOVQ 8(SI), DX; CMOVQNE DX, AX; MOVQ AX, 8(DI); + MOVQ 16(DI), AX; MOVQ 16(SI), DX; CMOVQNE DX, AX; MOVQ AX, 16(DI); + MOVQ 24(DI), AX; MOVQ 24(SI), DX; CMOVQNE DX, AX; MOVQ AX, 24(DI); + RET + +// func fqAdd(c, a, b *fq) +TEXT ·fqAdd(SB),0,$0-24 + MOVQ c+0(FP), DI + MOVQ a+8(FP), SI + MOVQ b+16(FP), BX + _fqAdd(0(DI), 0(SI), 0(BX)) + RET + +// func fqSub(c, a, b *fq) +TEXT ·fqSub(SB),0,$0-24 + MOVQ c+0(FP), DI + MOVQ a+8(FP), SI + MOVQ b+16(FP), BX + _fqSub(0(DI), 0(SI), 0(BX)) + RET + +// func fqMul(c, a, b *fq) +TEXT ·fqMul(SB),0,$0-24 + MOVQ c+0(FP), DI + MOVQ a+8(FP), SI + MOVQ b+16(FP), BX + CHECK_BMI2(LFQMUL, fqMulLegacy, fqMulBmi2) + RET + +// func fqSqr(c, a *fq) +TEXT ·fqSqr(SB),0,$0-16 + MOVQ c+0(FP), DI + MOVQ a+8(FP), SI + CHECK_BMI2(LFQSQR, fqSqrLegacy, fqSqrBmi2) + RET diff --git a/src/circl/ecc/fourq/fq_generic.go b/src/circl/ecc/fourq/fq_generic.go new file mode 100644 index 00000000000..9285e887d78 --- /dev/null +++ b/src/circl/ecc/fourq/fq_generic.go @@ -0,0 +1,30 @@ +package fourq + +func fqAddGeneric(c, a, b *Fq) { + fpAddGeneric(&c[0], &a[0], &b[0]) + fpAddGeneric(&c[1], &a[1], &b[1]) +} + +func fqSubGeneric(c, a, b *Fq) { + fpSubGeneric(&c[0], &a[0], &b[0]) + fpSubGeneric(&c[1], &a[1], &b[1]) +} + +func fqMulGeneric(c, a, b *Fq) { + var a0b0, a0b1, a1b0, a1b1 Fp + fpMulGeneric(&a0b0, &a[0], &b[0]) + fpMulGeneric(&a0b1, &a[0], &b[1]) + fpMulGeneric(&a1b0, &a[1], &b[0]) + fpMulGeneric(&a1b1, &a[1], &b[1]) + fpSubGeneric(&c[0], &a0b0, &a1b1) + fpAddGeneric(&c[1], &a0b1, &a1b0) +} + +func fqSqrGeneric(c, a *Fq) { + var aa0, a01, aa1 Fp + fpSqrGeneric(&aa0, &a[0]) + fpMulGeneric(&a01, &a[0], &a[1]) + fpSqrGeneric(&aa1, &a[1]) + fpSubGeneric(&c[0], &aa0, &aa1) + fpAddGeneric(&c[1], &a01, &a01) +} diff --git a/src/circl/ecc/fourq/fq_noasm.go b/src/circl/ecc/fourq/fq_noasm.go new file mode 100644 index 00000000000..12fc9d6feb4 --- /dev/null +++ b/src/circl/ecc/fourq/fq_noasm.go @@ -0,0 +1,14 @@ +// +build !amd64 purego + +package fourq + +import "crypto/subtle" + +func fqCmov(c, a *Fq, b int) { + subtle.ConstantTimeCopy(b, c[0][:], a[0][:]) + subtle.ConstantTimeCopy(b, c[1][:], a[1][:]) +} +func fqAdd(c, a, b *Fq) { fqAddGeneric(c, a, b) } +func fqSub(c, a, b *Fq) { fqSubGeneric(c, a, b) } +func fqMul(c, a, b *Fq) { fqMulGeneric(c, a, b) } +func fqSqr(c, a *Fq) { fqSqrGeneric(c, a) } diff --git a/src/circl/ecc/fourq/fq_test.go b/src/circl/ecc/fourq/fq_test.go new file mode 100644 index 00000000000..54587b067ea --- /dev/null +++ b/src/circl/ecc/fourq/fq_test.go @@ -0,0 +1,359 @@ +package fourq + +import ( + "crypto/rand" + "math/big" + "testing" + + "circl/internal/test" +) + +type tFqAdd = func(z, x, y *Fq) +type tFqSub = func(z, x, y *Fq) +type tFqMul = func(z, x, y *Fq) +type tFqSqr = func(z, x *Fq) + +func TestFqOne(t *testing.T) { + x := &Fq{} + x.setOne() + got0, got1 := x.toBigInt() + want0, want1 := big.NewInt(1), big.NewInt(0) + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x) + } +} + +func TestFqSign(t *testing.T) { + testTimes := 1 << 9 + x := &Fq{} + P := getModulus() + var P1div2 big.Int + P1div2.Add(P, big.NewInt(1)).Rsh(&P1div2, 1) // (p+1)/2 + + // Verifying Sign(0) = 0 + x.setBigInt(big.NewInt(0), big.NewInt(0)) + got := fqSgn(x) + want := 0 + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying Sign(P) = 0 + x.setBigInt(P, P) + got = fqSgn(x) + want = 0 + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying Sign( (p+1)/2 ) = -1 + x.setBigInt(&P1div2, &P1div2) + got = fqSgn(x) + want = -1 + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying x be a non-zero positive + for i := 0; i < testTimes; i++ { + bigX1, _ := rand.Int(rand.Reader, &P1div2) + x.setBigInt(P, bigX1) + got = fqSgn(x) + want = 1 + if got != want { + test.ReportError(t, got, want, x) + } + } + // Verifying x be a non-zero positive + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, &P1div2) + bigX1, _ := rand.Int(rand.Reader, &P1div2) + x.setBigInt(bigX0, bigX1) + got = fqSgn(x) + want = 1 + if got != want { + test.ReportError(t, got, want, x) + } + } + // Verifying x be a non-zero negative + for i := 0; i < testTimes; i++ { + bigX1, _ := rand.Int(rand.Reader, &P1div2) + bigX1.Add(bigX1, &P1div2) + x.setBigInt(P, bigX1) + got = fqSgn(x) + want = -1 + if got != want { + test.ReportError(t, got, want, x) + } + } + // Verifying x be a non-zero negative + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, &P1div2) + bigX1, _ := rand.Int(rand.Reader, &P1div2) + bigX0.Add(bigX0, &P1div2) + bigX1.Add(bigX1, &P1div2) + x.setBigInt(bigX0, bigX1) + got = fqSgn(x) + want = -1 + if got != want { + test.ReportError(t, got, want, x) + } + } +} + +func TestFqIsZero(t *testing.T) { + x := &Fq{} + P := getModulus() + // Verifying x=0 + x.setBigInt(big.NewInt(0), big.NewInt(0)) + got := x.isZero() + want := true + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying x=P goes to 0 + x.setBigInt(P, P) + got = x.isZero() + want = true + if got != want { + test.ReportError(t, got, want, x) + } + + // Verifying x!=0 + bigX0, _ := rand.Int(rand.Reader, P) + bigX1, _ := rand.Int(rand.Reader, P) + x.setBigInt(bigX0, bigX1) + got = x.isZero() + want = false + if got != want { + test.ReportError(t, got, want, x) + } +} + +func TestFqNeg(t *testing.T) { + testTimes := 1 << 9 + x, z := &Fq{}, &Fq{} + P := getModulus() + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, P) + bigX1, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX0, bigX1) + fqNeg(z, x) + got0, got1 := z.toBigInt() + + want0 := bigX0.Neg(bigX0) + want1 := bigX1.Neg(bigX1) + want0 = want0.Mod(want0, P) + want1 = want1.Mod(want1, P) + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x) + } + } +} + +func testFqAdd(t *testing.T, f tFqAdd) { + testTimes := 1 << 9 + x, y, z := &Fq{}, &Fq{}, &Fq{} + P := getModulus() + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, P) + bigX1, _ := rand.Int(rand.Reader, P) + bigY0, _ := rand.Int(rand.Reader, P) + bigY1, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX0, bigX1) + y.setBigInt(bigY0, bigY1) + f(z, x, y) + got0, got1 := z.toBigInt() + + want0 := bigX0.Add(bigX0, bigY0) + want1 := bigX1.Add(bigX1, bigY1) + want0 = want0.Mod(want0, P) + want1 = want1.Mod(want1, P) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, y) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, y) + } + } +} + +func testFqSub(t *testing.T, f tFqSub) { + testTimes := 1 << 9 + x, y, z := &Fq{}, &Fq{}, &Fq{} + P := getModulus() + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, P) + bigX1, _ := rand.Int(rand.Reader, P) + bigY0, _ := rand.Int(rand.Reader, P) + bigY1, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX0, bigX1) + y.setBigInt(bigY0, bigY1) + f(z, x, y) + got0, got1 := z.toBigInt() + + want0 := bigX0.Sub(bigX0, bigY0) + want1 := bigX1.Sub(bigX1, bigY1) + want0 = want0.Mod(want0, P) + want1 = want1.Mod(want1, P) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, y) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, y) + } + } +} + +func testFqMul(t *testing.T, f tFqMul) { + testTimes := 1 << 9 + x, y, z := &Fq{}, &Fq{}, &Fq{} + P := getModulus() + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, P) + bigX1, _ := rand.Int(rand.Reader, P) + bigY0, _ := rand.Int(rand.Reader, P) + bigY1, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX0, bigX1) + y.setBigInt(bigY0, bigY1) + f(z, x, y) + got0, got1 := z.toBigInt() + + x0y0 := new(big.Int).Mul(bigX0, bigY0) + x0y1 := new(big.Int).Mul(bigX0, bigY1) + x1y0 := new(big.Int).Mul(bigX1, bigY0) + x1y1 := new(big.Int).Mul(bigX1, bigY1) + want0 := x0y0.Sub(x0y0, x1y1) + want1 := x1y0.Add(x1y0, x0y1) + want0 = want0.Mod(want0, P) + want1 = want1.Mod(want1, P) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, y) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, y) + } + } +} + +func testFqSqr(t *testing.T, f tFqSqr) { + testTimes := 1 << 9 + x, z := &Fq{}, &Fq{} + P := getModulus() + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, P) + bigX1, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX0, bigX1) + f(z, x) + got0, got1 := z.toBigInt() + + x0x0 := new(big.Int).Mul(bigX0, bigX0) + x0x1 := new(big.Int).Mul(bigX0, bigX1) + x1x1 := new(big.Int).Mul(bigX1, bigX1) + want0 := x0x0.Sub(x0x0, x1x1) + want1 := x0x1.Lsh(x0x1, 1) + want0 = want0.Mod(want0, P) + want1 = want1.Mod(want1, P) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x) + } + } +} + +func TestFqInv(t *testing.T) { + testTimes := 1 << 9 + x, z := &Fq{}, &Fq{} + P := getModulus() + for i := 0; i < testTimes; i++ { + bigX0, _ := rand.Int(rand.Reader, P) + bigX1, _ := rand.Int(rand.Reader, P) + + x.setBigInt(bigX0, bigX1) + fqInv(z, x) + got0, got1 := z.toBigInt() + + x0x0 := new(big.Int).Mul(bigX0, bigX0) + x1x1 := new(big.Int).Mul(bigX1, bigX1) + inv := x0x0.Add(x0x0, x1x1) + inv.ModInverse(inv, P) + want0 := bigX0.Mul(bigX0, inv) + want1 := bigX1.Mul(bigX1, inv).Neg(bigX1) + want0 = want0.Mod(want0, P) + want1 = want1.Mod(want1, P) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x) + } + } +} + +func TestFqGeneric(t *testing.T) { + t.Run("Add", func(t *testing.T) { testFqAdd(t, fqAddGeneric) }) + t.Run("Sub", func(t *testing.T) { testFqSub(t, fqSubGeneric) }) + t.Run("Mul", func(t *testing.T) { testFqMul(t, fqMulGeneric) }) + t.Run("Sqr", func(t *testing.T) { testFqSqr(t, fqSqrGeneric) }) +} + +func TestFqNative(t *testing.T) { + t.Run("Add", func(t *testing.T) { testFqAdd(t, fqAdd) }) + t.Run("Sub", func(t *testing.T) { testFqSub(t, fqSub) }) + t.Run("Mul", func(t *testing.T) { testFqMul(t, fqMul) }) + t.Run("Sqr", func(t *testing.T) { testFqSqr(t, fqSqr) }) +} + +func BenchmarkFq(b *testing.B) { + x, y, z := &Fq{}, &Fq{}, &Fq{} + + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fqAdd(z, x, y) + } + }) + b.Run("Sub", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fqSub(z, x, y) + } + }) + b.Run("Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fqMul(z, x, y) + } + }) + b.Run("Sqr", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fqSqr(z, x) + } + }) + b.Run("Inv", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fqInv(z, x) + } + }) + b.Run("Sqrt", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fqSqrt(z, x, y, 1) + } + }) +} diff --git a/src/circl/ecc/fourq/params.go b/src/circl/ecc/fourq/params.go new file mode 100644 index 00000000000..d49d3f14ee8 --- /dev/null +++ b/src/circl/ecc/fourq/params.go @@ -0,0 +1,49 @@ +package fourq + +//All values in little endian +var ( + + // prime is the modulus 2^127-1 + prime = [2]uint64{ + 0xFFFFFFFFFFFFFFFF, 0x7FFFFFFFFFFFFFFF, + } + + // orderGenerator is the size of the largest subgroup. + orderGenerator = [4]uint64{ + 0x2fb2540ec7768ce7, 0xdfbd004dfe0f7999, + 0xf05397829cbc14e5, 0x0029cbc14e5e0a72, + } + + paramD = Fq{ + Fp{ + 0x42, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xe4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }, + Fp{ + 0x8d, 0x0c, 0xfc, 0xf1, 0x88, 0x14, 0x82, 0xb3, + 0xfc, 0xe0, 0x57, 0x66, 0x84, 0x2f, 0x47, 0x5e, + }, + } + + genX = Fq{ + Fp{ + 0xaa, 0x33, 0x38, 0x7b, 0xad, 0x92, 0x65, 0x28, + 0x05, 0xb3, 0x2f, 0x7c, 0x23, 0x72, 0x34, 0x1a, + }, + Fp{ + 0xf6, 0x77, 0xac, 0x60, 0xb3, 0x9f, 0x86, 0x96, + 0x9c, 0xaa, 0x78, 0x28, 0x3f, 0x55, 0x1f, 0x1e, + }, + } + + genY = Fq{ + Fp{ + 0x87, 0xb2, 0xcb, 0x2b, 0x46, 0xa2, 0x24, 0xb9, + 0x5a, 0x78, 0x20, 0xa1, 0x9b, 0xee, 0x3f, 0x0e, + }, + Fp{ + 0x5c, 0x8b, 0x4c, 0x84, 0x44, 0xc3, 0xa7, 0x49, + 0x42, 0x02, 0x0e, 0x63, 0xf8, 0x4a, 0x1c, 0x6e, + }, + } +) diff --git a/src/circl/ecc/fourq/point.go b/src/circl/ecc/fourq/point.go new file mode 100644 index 00000000000..e82627098f5 --- /dev/null +++ b/src/circl/ecc/fourq/point.go @@ -0,0 +1,346 @@ +package fourq + +import ( + "crypto/subtle" + "encoding/binary" + "math/bits" +) + +type pointR1 struct { + X, Y, Z, Ta, Tb Fq // (x,y,z,t=ta*tb) +} +type pointR3 struct { + addYX Fq // y + x + subYX Fq // y - x + dt2 Fq // 2*d*t +} +type pointR2 struct { + pointR3 + z2 Fq // 2 * z +} + +// subYDiv16 update x = (x - y) / 16. +func subYDiv16(x *[5]uint64, y int64) { + s := uint64(y >> 63) + x0, b0 := bits.Sub64((*x)[0], uint64(y), 0) + x1, b1 := bits.Sub64((*x)[1], s, b0) + x2, b2 := bits.Sub64((*x)[2], s, b1) + x3, b3 := bits.Sub64((*x)[3], s, b2) + x4, _ := bits.Sub64((*x)[4], s, b3) + (*x)[0] = (x0 >> 4) | (x1 << 60) + (*x)[1] = (x1 >> 4) | (x2 << 60) + (*x)[2] = (x2 >> 4) | (x3 << 60) + (*x)[3] = (x3 >> 4) | (x4 << 60) + (*x)[4] = (x4 >> 4) +} + +// condAddOrderN updates x = x+order if x is even, otherwise x remains unchanged. +func condAddOrderN(x *[5]uint64) { + var o [4]uint64 + isOdd := (x[0] & 0x1) - 1 + for i := range orderGenerator { + o[i] = isOdd & orderGenerator[i] + } + x0, c0 := bits.Add64((*x)[0], o[0], 0) + x1, c1 := bits.Add64((*x)[1], o[1], c0) + x2, c2 := bits.Add64((*x)[2], o[2], c1) + x3, c3 := bits.Add64((*x)[3], o[3], c2) + x4, _ := bits.Add64((*x)[4], 0, c3) + (*x)[0] = x0 + (*x)[1] = x1 + (*x)[2] = x2 + (*x)[3] = x3 + (*x)[4] = x4 +} + +func recodeScalar(d *[65]int8, k *[32]byte) { + var m [5]uint64 + m[0] = binary.LittleEndian.Uint64(k[0:8]) + m[1] = binary.LittleEndian.Uint64(k[8:16]) + m[2] = binary.LittleEndian.Uint64(k[16:24]) + m[3] = binary.LittleEndian.Uint64(k[24:32]) + condAddOrderN(&m) + for i := 0; i < 64; i++ { + d[i] = int8((m[0] & 0x1f) - 16) + subYDiv16(&m, int64(d[i])) + } + d[64] = int8(m[0]) +} + +func (P *pointR1) oddMultiples(T *[8]pointR2) { + var _2P, R pointR1 + var _p2P pointR2 + _2P.copy(P) + _2P.double() + _p2P.FromR1(&_2P) + R.copy(P) + T[0].FromR1(P) + for i := 1; i < 8; i++ { + R.add(&_p2P) + T[i].FromR1(&R) + } +} + +// scalarMult calculates P = k*Q. +func (P *pointR1) ScalarMult(k *[32]byte, Q *pointR1) { + var TabQ [8]pointR2 + var S pointR2 + var d [65]int8 + Q.oddMultiples(&TabQ) + recodeScalar(&d, k) + P.SetIdentity() + for i := 64; i >= 0; i-- { + P.double() + P.double() + P.double() + P.double() + mask := d[i] >> 7 + absDi := (d[i] + mask) ^ mask + inx := int((absDi - 1) >> 1) + sig := int((d[i] >> 7) & 0x1) + for j := range TabQ { + S.cmov(&TabQ[j], int((uint64(uint32(inx^j))-1)>>63)) + } + S.cneg(sig) + P.add(&S) + } +} + +// absolute returns always a positive value. +func absolute(x int32) int32 { + mask := x >> 31 + return (x + mask) ^ mask +} + +// div2subY update x = (x/2) - y. +func div2subY(x *[5]uint64, y int64) { + s := uint64(y >> 63) + x0 := (*x)[0] + x1 := (*x)[1] + x2 := (*x)[2] + x3 := (*x)[3] + x0 = (x0 >> 1) | (x1 << 63) + x1 = (x1 >> 1) | (x2 << 63) + x2 = (x2 >> 1) | (x3 << 63) + x3 = (x3 >> 1) + + x0, b0 := bits.Sub64(x0, uint64(y), 0) + x1, b1 := bits.Sub64(x1, s, b0) + x2, b2 := bits.Sub64(x2, s, b1) + x3, _ = bits.Sub64(x3, s, b2) + (*x)[0] = x0 + (*x)[1] = x1 + (*x)[2] = x2 + (*x)[3] = x3 +} + +// mLSBRecoding is the odd-only modified LSB-set. +// +// Reference: +// "Efficient and secure algorithms for GLV-based scalar multiplication and +// their implementation on GLV–GLS curves" by (Faz-Hernandez et al.) +// http://doi.org/10.1007/s13389-014-0085-7. +func mLSBRecoding(L []int8, k []byte) { + const e = (fxT + fxW*fxV - 1) / (fxW * fxV) + const d = e * fxV + const l = d * fxW + if len(L) == (l + 1) { + var m [5]uint64 + m[0] = binary.LittleEndian.Uint64(k[0:8]) + m[1] = binary.LittleEndian.Uint64(k[8:16]) + m[2] = binary.LittleEndian.Uint64(k[16:24]) + m[3] = binary.LittleEndian.Uint64(k[24:32]) + condAddOrderN(&m) + + L[d-1] = 1 + for i := 0; i < d-1; i++ { + kip1 := (m[(i+1)/64] >> (uint(i+1) % 64)) & 0x1 + L[i] = int8(kip1<<1) - 1 + } + { // right-shift by d + const right = (d % 64) + const left = 64 - (d % 64) + const lim = (5*64 - d) / 64 + const j = d / 64 + for i := 0; i < lim; i++ { + m[i] = (m[i+j] >> right) | (m[i+j+1] << left) + } + m[lim] = m[lim+j] >> right + } + for i := d; i < l; i++ { + L[i] = L[i%d] * int8(m[0]&0x1) + div2subY(&m, int64(L[i]>>1)) + } + L[l] = int8(m[0]) + } +} + +func (P *pointR1) ScalarBaseMult(scalar *[Size]byte) { + var S pointR3 + const e = (fxT + fxW*fxV - 1) / (fxW * fxV) + const d = e * fxV + const l = d * fxW + + var L [l + 1]int8 + mLSBRecoding(L[:], scalar[:]) + P.SetIdentity() + for ii := e - 1; ii >= 0; ii-- { + P.double() + for j := 0; j < fxV; j++ { + dig := L[fxW*d-j*e+ii-e] + for i := (fxW-1)*d - j*e + ii - e; i >= (2*d - j*e + ii - e); i = i - d { + dig = 2*dig + L[i] + } + idx := absolute(int32(dig)) + sig := L[d-j*e+ii-e] + Tabj := &tableBaseFixed[fxV-j-1] + for k := 0; k < fx2w1; k++ { + S.cmov(&Tabj[k], subtle.ConstantTimeEq(int32(k), idx)) + } + S.cneg(subtle.ConstantTimeEq(int32(sig), -1)) + P.mixAdd(&S) + } + } +} + +func (P *pointR1) copy(Q *pointR1) { + fqCopy(&P.X, &Q.X) + fqCopy(&P.Y, &Q.Y) + fqCopy(&P.Ta, &Q.Ta) + fqCopy(&P.Tb, &Q.Tb) + fqCopy(&P.Z, &Q.Z) +} + +func (P *pointR1) SetIdentity() { + P.X.setZero() + P.Y.setOne() + P.Ta.setZero() + P.Tb.setZero() + P.Z.setOne() +} + +func (P *pointR1) IsIdentity() bool { + t0, t1 := &Fq{}, &Fq{} + fqMul(t0, &P.Ta, &P.Tb) + fqSub(t1, &P.Y, &P.Z) + return P.X.isZero() && t0.isZero() && t1.isZero() +} + +func (P *pointR1) ToAffine() { + fqInv(&P.Z, &P.Z) + fqMul(&P.X, &P.X, &P.Z) + fqMul(&P.Y, &P.Y, &P.Z) + fqMul(&P.Ta, &P.X, &P.Y) + P.Tb.setOne() + P.Z.setOne() +} + +// Marshal encodes a point P into out buffer. +func (P *Point) Marshal(out *[Size]byte) { + P.Y.toBytes(out[:]) + // b=0 if x is positive or zero + // b=1 if x is negative + b := (1 - fqSgn(&P.X)) >> 1 + out[Size-1] |= byte(b) << 7 +} + +// Unmarshal retrieves a point P from the input buffer. On success, returns true. +func (P *Point) Unmarshal(in *[Size]byte) bool { + s := in[Size-1] >> 7 + in[Size-1] &= 0x7F + if ok := P.Y.fromBytes(in[:]); !ok { + return ok + } + in[Size-1] |= s << 7 + + t0, t1, one := &Fq{}, &Fq{}, &Fq{} + one.setOne() + fqSqr(t0, &P.Y) // t0 = y^2 + fqMul(t1, t0, ¶mD) // t1 = d*y^2 + fqSub(t0, t0, one) // t0 = y^2 - 1 + fqAdd(t1, t1, one) // t1 = d*y^2 + 1 + fqSqrt(&P.X, t0, t1, 1-2*int(s)) // x = sqrt(t0/t1) + + if !P.IsOnCurve() { + fpNeg(&P.X[1], &P.X[1]) + } + return true +} + +func (P *pointR1) IsOnCurve() bool { + t0, lhs, rhs := &Fq{}, &Fq{}, &Fq{} + + fqAdd(t0, &P.Y, &P.X) // t0 = y + x + fqSub(lhs, &P.Y, &P.X) // lhs = y - x + fqMul(lhs, lhs, t0) // lhs = y^2 - x^2 + fqMul(rhs, &P.X, &P.Y) // rhs = xy + fqSqr(rhs, rhs) // rhs = x^2y^2 + fqMul(rhs, rhs, ¶mD) // rhs = dx^2y^2 + t0.setOne() // t0 = 1 + fqAdd(rhs, rhs, t0) // rhs = 1 + dx^2y^2 + fqSub(t0, lhs, rhs) // t0 = -x^2 + y^2 - (1 + dx^2y^2) + return t0.isZero() +} + +func (P *pointR1) isEqual(Q *pointR1) bool { + l, r := &Fq{}, &Fq{} + fqMul(l, &P.X, &Q.Z) + fqMul(r, &Q.X, &P.Z) + fqSub(l, l, r) + b := l.isZero() + fqMul(l, &P.Y, &Q.Z) + fqMul(r, &Q.Y, &P.Z) + fqSub(l, l, r) + b = b && l.isZero() + fqMul(l, &P.Ta, &P.Tb) + fqMul(l, l, &Q.Z) + fqMul(r, &Q.Ta, &Q.Tb) + fqMul(r, r, &P.Z) + fqSub(l, l, r) + b = b && l.isZero() + return b +} + +func (P *pointR1) ClearCofactor() { + var Q pointR2 + Q.FromR1(P) + P.double() + P.add(&Q) + P.double() + P.double() + P.double() + P.double() + P.add(&Q) + P.double() + P.double() + P.double() +} + +func (P *pointR2) FromR1(Q *pointR1) { + fqAdd(&P.addYX, &Q.Y, &Q.X) + fqSub(&P.subYX, &Q.Y, &Q.X) + fqAdd(&P.z2, &Q.Z, &Q.Z) + fqMul(&P.dt2, &Q.Ta, &Q.Tb) + fqMul(&P.dt2, &P.dt2, ¶mD) + fqAdd(&P.dt2, &P.dt2, &P.dt2) +} + +func (P *pointR2) cmov(Q *pointR2, b int) { + P.pointR3.cmov(&Q.pointR3, b) + fqCmov(&P.z2, &Q.z2, b) +} + +func (P *pointR3) cneg(b int) { + var t Fq + fqCopy(&t, &P.addYX) + fqCmov(&P.addYX, &P.subYX, b) + fqCmov(&P.subYX, &t, b) + fqNeg(&t, &P.dt2) + fqCmov(&P.dt2, &t, b) +} + +func (P *pointR3) cmov(Q *pointR3, b int) { + fqCmov(&P.addYX, &Q.addYX, b) + fqCmov(&P.subYX, &Q.subYX, b) + fqCmov(&P.dt2, &Q.dt2, b) +} diff --git a/src/circl/ecc/fourq/point_amd64.go b/src/circl/ecc/fourq/point_amd64.go new file mode 100644 index 00000000000..854f0c13ef3 --- /dev/null +++ b/src/circl/ecc/fourq/point_amd64.go @@ -0,0 +1,35 @@ +// +build amd64,!purego + +package fourq + +import "unsafe" + +const ( // constants used in assembly implementation + _x = unsafe.Offsetof(pointR1{}.X) + _y = unsafe.Offsetof(pointR1{}.Y) + _z = unsafe.Offsetof(pointR1{}.Z) + _ta = unsafe.Offsetof(pointR1{}.Ta) + _tb = unsafe.Offsetof(pointR1{}.Tb) + _addYXR2 = unsafe.Offsetof(pointR2{}.addYX) + _subYXR2 = unsafe.Offsetof(pointR2{}.subYX) + _z2R2 = unsafe.Offsetof(pointR2{}.z2) + _dt2R2 = unsafe.Offsetof(pointR2{}.dt2) + _addYXR3 = unsafe.Offsetof(pointR3{}.addYX) + _subYXR3 = unsafe.Offsetof(pointR3{}.subYX) + _dt2R3 = unsafe.Offsetof(pointR3{}.dt2) + _ = _x + _y + _z + _ta + _tb + _addYXR2 + _subYXR2 + + _z2R2 + _dt2R2 + _addYXR3 + _subYXR3 + _dt2R3 +) + +func (P *pointR1) double() { doubleAmd64(P) } +func (P *pointR1) add(Q *pointR2) { addAmd64(P, Q) } +func (P *pointR1) mixAdd(Q *pointR3) { mixAddAmd64(P, Q) } + +//go:noescape +func doubleAmd64(P *pointR1) + +//go:noescape +func addAmd64(P *pointR1, Q *pointR2) + +//go:noescape +func mixAddAmd64(P *pointR1, Q *pointR3) diff --git a/src/circl/ecc/fourq/point_amd64.h b/src/circl/ecc/fourq/point_amd64.h new file mode 100644 index 00000000000..b87c293894a --- /dev/null +++ b/src/circl/ecc/fourq/point_amd64.h @@ -0,0 +1,93 @@ +#define doubleLeg \ + _fqAdd(e,Px,Py) \ + _fqSqrLeg(a,Px) \ + _fqSqrLeg(b,Py) \ + _fqSqrLeg(c,Pz) \ + _fqAdd(c,c,c) \ + _fqAdd(d,a,b) \ + _fqSqrLeg(e,e) \ + _fqSub(e,e,d) \ + _fqSub(f,b,a) \ + _fqSub(g,c,f) \ + _fqMulLeg(Pz,f,g) \ + _fqMulLeg(Px,e,g) \ + _fqMulLeg(Py,d,f) + +#define doubleBmi2 \ + _fqAdd(e,Px,Py) \ + _fqSqrBmi2(a,Px) \ + _fqSqrBmi2(b,Py) \ + _fqSqrBmi2(c,Pz) \ + _fqAdd(c,c,c) \ + _fqAdd(d,a,b) \ + _fqSqrBmi2(e,e) \ + _fqSub(e,e,d) \ + _fqSub(f,b,a) \ + _fqSub(g,c,f) \ + _fqMulBmi2(Pz,f,g) \ + _fqMulBmi2(Px,e,g) \ + _fqMulBmi2(Py,d,f) + +#define addLeg \ + _fqMulLeg(c, Pta, Ptb) \ + _fqSub(h, b, a) \ + _fqAdd(b, b, a) \ + _fqMulLeg(a, h, subYX) \ + _fqMulLeg(b, b, addYX) \ + _fqSub(e, b, a) \ + _fqAdd(h, b, a) \ + _fqMulLeg(d, Pz, z2) \ + _fqMulLeg(c, c, dt2) \ + _fqSub(f, d, c) \ + _fqAdd(g, d, c) \ + _fqMulLeg(Pz, f, g) \ + _fqMulLeg(Px, e, f) \ + _fqMulLeg(Py, g, h) + +#define addBmi2 \ + _fqMulBmi2(c, Pta, Ptb) \ + _fqSub(h, b, a) \ + _fqAdd(b, b, a) \ + _fqMulBmi2(a, h, subYX) \ + _fqMulBmi2(b, b, addYX) \ + _fqSub(e, b, a) \ + _fqAdd(h, b, a) \ + _fqMulBmi2(d, Pz, z2) \ + _fqMulBmi2(c, c, dt2) \ + _fqSub(f, d, c) \ + _fqAdd(g, d, c) \ + _fqMulBmi2(Pz, f, g) \ + _fqMulBmi2(Px, e, f) \ + _fqMulBmi2(Py, g, h) + +#define mixAddLeg \ + _fqMulLeg(c, Pta, Ptb) \ + _fqSub(h, b, a) \ + _fqAdd(b, b, a) \ + _fqMulLeg(a, h, subYX) \ + _fqMulLeg(b, b, addYX) \ + _fqSub(e, b, a) \ + _fqAdd(h, b, a) \ + _fqAdd(d, Pz, Pz) \ + _fqMulLeg(c, c, dt2) \ + _fqSub(f, d, c) \ + _fqAdd(g, d, c) \ + _fqMulLeg(Pz, f, g) \ + _fqMulLeg(Px, e, f) \ + _fqMulLeg(Py, g, h) + +#define mixAddBmi2 \ + _fqMulBmi2(c, Pta, Ptb) \ + _fqSub(h, b, a) \ + _fqAdd(b, b, a) \ + _fqMulBmi2(a, h, subYX) \ + _fqMulBmi2(b, b, addYX) \ + _fqSub(e, b, a) \ + _fqAdd(h, b, a) \ + _fqAdd(d, Pz, Pz) \ + _fqMulBmi2(c, c, dt2) \ + _fqSub(f, d, c) \ + _fqAdd(g, d, c) \ + _fqMulBmi2(Pz, f, g) \ + _fqMulBmi2(Px, e, f) \ + _fqMulBmi2(Py, g, h) diff --git a/src/circl/ecc/fourq/point_amd64.s b/src/circl/ecc/fourq/point_amd64.s new file mode 100644 index 00000000000..f4dd5dd5e6a --- /dev/null +++ b/src/circl/ecc/fourq/point_amd64.s @@ -0,0 +1,112 @@ +// +build amd64,!purego + +#include "go_asm.h" +#include "fq_amd64.h" +#include "point_amd64.h" + +// func doubleAmd64(P *pointR1) +TEXT ·doubleAmd64(SB),0,$0-8 + MOVQ P+0(FP), DI + #define Px const__x +0(DI) + #define Py const__y +0(DI) + #define Pz const__z +0(DI) + #define Pta const__ta+0(DI) + #define Ptb const__tb+0(DI) + #define a Px + #define b Py + #define c Pz + #define d Pta + #define e Ptb + #define f b + #define g a + CHECK_BMI2(LDOUBLE, doubleLeg, doubleBmi2) + #undef Px + #undef Py + #undef Pz + #undef Pta + #undef Ptb + #undef a + #undef b + #undef c + #undef d + #undef e + #undef f + #undef g + +// func addAmd64(P *pointR1, R *pointR2) +TEXT ·addAmd64(SB),0,$32-16 + MOVQ P+0(FP), DI + MOVQ Q+8(FP), SI + #define addYX const__addYXR2+0(SI) + #define subYX const__subYXR2+0(SI) + #define z2 const__z2R2 +0(SI) + #define dt2 const__dt2R2 +0(SI) + #define Px const__x +0(DI) + #define Py const__y +0(DI) + #define Pz const__z +0(DI) + #define Pta const__ta+0(DI) + #define Ptb const__tb+0(DI) + #define a Px + #define b Py + #define c 0(SP) + #define d b + #define e Pta + #define f a + #define g b + #define h Ptb + CHECK_BMI2(LDADD, addLeg, addBmi2) + #undef addYX + #undef subYX + #undef z2 + #undef dt2 + #undef Px + #undef Py + #undef Pz + #undef Pta + #undef Ptb + #undef a + #undef b + #undef c + #undef d + #undef e + #undef f + #undef g + #undef h + +// func mixAddAmd64(P *pointR1, Q *pointR3) +TEXT ·mixAddAmd64(SB),0,$32-16 + MOVQ P+0(FP), DI + MOVQ Q+8(FP), SI + #define addYX const__addYXR3+0(SI) + #define subYX const__subYXR3+0(SI) + #define dt2 const__dt2R3 +0(SI) + #define Px const__x +0(DI) + #define Py const__y +0(DI) + #define Pz const__z +0(DI) + #define Pta const__ta+0(DI) + #define Ptb const__tb+0(DI) + #define a Px + #define b Py + #define c 0(SP) + #define d b + #define e Pta + #define f a + #define g b + #define h Ptb + CHECK_BMI2(LDMIXADD, mixAddLeg, mixAddBmi2) + #undef addYX + #undef subYX + #undef dt2 + #undef Px + #undef Py + #undef Pz + #undef Pta + #undef Ptb + #undef a + #undef b + #undef c + #undef d + #undef e + #undef f + #undef g + #undef h diff --git a/src/circl/ecc/fourq/point_generic.go b/src/circl/ecc/fourq/point_generic.go new file mode 100644 index 00000000000..0a0d455b546 --- /dev/null +++ b/src/circl/ecc/fourq/point_generic.go @@ -0,0 +1,98 @@ +// +build !amd64 purego + +package fourq + +func doubleGeneric(P *pointR1) { + var Px = &P.X + var Py = &P.Y + var Pz = &P.Z + var Pta = &P.Ta + var Ptb = &P.Tb + var a = Px + var b = Py + var c = Pz + var d = Pta + var e = Ptb + var f = b + var g = a + fqAdd(e, Px, Py) + fqSqr(a, Px) + fqSqr(b, Py) + fqSqr(c, Pz) + fqAdd(c, c, c) + fqAdd(d, a, b) + fqSqr(e, e) + fqSub(e, e, d) + fqSub(f, b, a) + fqSub(g, c, f) + fqMul(Pz, f, g) + fqMul(Px, e, g) + fqMul(Py, d, f) +} + +func addGeneric(P *pointR1, Q *pointR2) { + var addYX = &Q.addYX + var subYX = &Q.subYX + var z2 = &Q.z2 + var dt2 = &Q.dt2 + var Px = &P.X + var Py = &P.Y + var Pz = &P.Z + var Pta = &P.Ta + var Ptb = &P.Tb + var a = Px + var b = Py + var c = &Fq{} + var d = b + var e = Pta + var f = a + var g = b + var h = Ptb + fqMul(c, Pta, Ptb) + fqSub(h, b, a) + fqAdd(b, b, a) + fqMul(a, h, subYX) + fqMul(b, b, addYX) + fqSub(e, b, a) + fqAdd(h, b, a) + fqMul(d, Pz, z2) + fqMul(c, c, dt2) + fqSub(f, d, c) + fqAdd(g, d, c) + fqMul(Pz, f, g) + fqMul(Px, e, f) + fqMul(Py, g, h) +} + +func mixAddGeneric(P *pointR1, Q *pointR3) { + var addYX = &Q.addYX + var subYX = &Q.subYX + var dt2 = &Q.dt2 + var Px = &P.X + var Py = &P.Y + var Pz = &P.Z + var Pta = &P.Ta + var Ptb = &P.Tb + var a = Px + var b = Py + var c = &Fq{} + var d = b + var e = Pta + var f = a + var g = b + var h = Ptb + fqMul(c, Pta, Ptb) + fqSub(h, b, a) + fqAdd(b, b, a) + fqMul(a, h, subYX) + fqMul(b, b, addYX) + fqSub(e, b, a) + fqAdd(h, b, a) + fqAdd(d, Pz, Pz) + fqMul(c, c, dt2) + fqSub(f, d, c) + fqAdd(g, d, c) + fqMul(Pz, f, g) + fqMul(Px, e, f) + fqMul(Py, g, h) +} diff --git a/src/circl/ecc/fourq/point_noasm.go b/src/circl/ecc/fourq/point_noasm.go new file mode 100644 index 00000000000..cf7dff0a3a8 --- /dev/null +++ b/src/circl/ecc/fourq/point_noasm.go @@ -0,0 +1,7 @@ +// +build !amd64 purego + +package fourq + +func (P *pointR1) double() { doubleGeneric(P) } +func (P *pointR1) add(Q *pointR2) { addGeneric(P, Q) } +func (P *pointR1) mixAdd(Q *pointR3) { mixAddGeneric(P, Q) } diff --git a/src/circl/ecc/fourq/point_test.go b/src/circl/ecc/fourq/point_test.go new file mode 100644 index 00000000000..61506aa5126 --- /dev/null +++ b/src/circl/ecc/fourq/point_test.go @@ -0,0 +1,265 @@ +package fourq + +import ( + "crypto/rand" + "math/big" + "testing" + + "circl/internal/conv" + "circl/internal/test" +) + +func (P *pointR1) random() { + var k [Size]byte + _, _ = rand.Read(k[:]) + P.ScalarBaseMult(&k) +} + +func TestPointAddition(t *testing.T) { + const testTimes = 1 << 10 + var P, Q pointR1 + _16P := &pointR1{} + S := &pointR2{} + for i := 0; i < testTimes; i++ { + P.random() + _16P.copy(&P) + S.FromR1(&P) + // 16P = 2^4P + for j := 0; j < 4; j++ { + _16P.double() + } + // 16P = P+P...+P + Q.SetIdentity() + for j := 0; j < 16; j++ { + Q.add(S) + } + got := _16P.isEqual(&Q) + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } +} + +func TestOddMultiples(t *testing.T) { + const testTimes = 1 << 10 + var P, Q, R pointR1 + var Tab [8]pointR2 + for i := 0; i < testTimes; i++ { + P.random() + // T = [1P, 3P, 5P, 7P, 9P, 11P, 13P, 15P] + P.oddMultiples(&Tab) + // Q = sum of all T[i] == 64P + Q.SetIdentity() + for j := range Tab { + Q.add(&Tab[j]) + } + // R = (2^6)P == 64P + for j := 0; j < 6; j++ { + R.double() + } + got := Q.isEqual(&R) + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } +} + +func TestScalarMult(t *testing.T) { + const testTimes = 1 << 10 + var P, Q, G pointR1 + var k [Size]byte + + t.Run("0P=0", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + P.random() + Q.ScalarMult(&k, &P) + got := Q.IsIdentity() + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } + }) + t.Run("order*P=0", func(t *testing.T) { + conv.BigInt2BytesLe(k[:], conv.Uint64Le2BigInt(orderGenerator[:])) + for i := 0; i < testTimes; i++ { + P.random() + Q.ScalarMult(&k, &P) + got := Q.IsIdentity() + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } + }) + t.Run("cofactor*P=clear(P)", func(t *testing.T) { + conv.BigInt2BytesLe(k[:], big.NewInt(392)) + for i := 0; i < testTimes; i++ { + P.random() + Q.ScalarMult(&k, &P) + P.ClearCofactor() + got := Q.isEqual(&P) + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } + }) + t.Run("mult", func(t *testing.T) { + G.X = genX + G.Y = genY + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k[:]) + P.ScalarMult(&k, &G) + Q.ScalarBaseMult(&k) + got := Q.isEqual(&P) + want := true + if got != want { + test.ReportError(t, got, want, k) + } + } + }) +} + +func TestScalar(t *testing.T) { + const testTimes = 1 << 12 + var x, xx [5]uint64 + two256 := big.NewInt(1) + two256.Lsh(two256, 256) + two64 := big.NewInt(1) + two64.Lsh(two64, 64) + bigOrder := conv.Uint64Le2BigInt(orderGenerator[:]) + + t.Run("subYdiv16", func(t *testing.T) { + want := new(big.Int) + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, two256) + conv.BigInt2Uint64Le(xx[:], bigX) + for j := range xx { + x[j] = xx[j] + } + bigY, _ := rand.Int(rand.Reader, two64) + y := bigY.Int64() + bigY.SetInt64(y) + + subYDiv16(&x, y) + got := conv.Uint64Le2BigInt(x[:]) + + want.Sub(bigX, bigY).Rsh(want, 4) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, bigX, y) + } + } + }) + + t.Run("div2subY", func(t *testing.T) { + want := new(big.Int) + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, two256) + conv.BigInt2Uint64Le(xx[:], bigX) + for j := range xx { + x[j] = xx[j] + } + bigY, _ := rand.Int(rand.Reader, two64) + y := bigY.Int64() + bigY.SetInt64(y) + + div2subY(&x, y) + got := conv.Uint64Le2BigInt(x[:]) + + want.Rsh(bigX, 1).Sub(want, bigY) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, bigX, y) + } + } + }) + + t.Run("condAddOrderN", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + bigX, _ := rand.Int(rand.Reader, two256) + conv.BigInt2Uint64Le(xx[:], bigX) + for j := range xx { + x[j] = xx[j] + } + + condAddOrderN(&x) + got := conv.Uint64Le2BigInt(x[:]) + + want := bigX + if want.Bit(0) == 0 { + want.Add(want, bigOrder) + } + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } + }) + + t.Run("recode", func(t *testing.T) { + var k [32]byte + var d [65]int8 + got := new(big.Int) + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k[:]) + + recodeScalar(&d, &k) + got.SetInt64(0) + for j := len(d) - 1; j >= 0; j-- { + got.Lsh(got, 4).Add(got, big.NewInt(int64(d[j]))) + } + + want := conv.BytesLe2BigInt(k[:]) + if want.Bit(0) == 0 { + want.Add(want, bigOrder) + } + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } + }) +} + +func BenchmarkPoint(b *testing.B) { + var P, R pointR1 + var Q pointR2 + var k [Size]byte + + _, _ = rand.Read(k[:]) + + P.random() + R.random() + Q.FromR1(&R) + R.random() + + b.Run("affine", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.ToAffine() + } + }) + b.Run("double", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.double() + } + }) + b.Run("add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.add(&Q) + } + }) + b.Run("scmulBase", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.ScalarBaseMult(&k) + } + }) + b.Run("scmul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.ScalarMult(&k, &R) + } + }) +} diff --git a/src/circl/ecc/fourq/tableBase.go b/src/circl/ecc/fourq/tableBase.go new file mode 100644 index 00000000000..34785d65596 --- /dev/null +++ b/src/circl/ecc/fourq/tableBase.go @@ -0,0 +1,131 @@ +package fourq + +const ( + // This is the size of the largest scalar k = 2^256 - 1 + order + fxT = 257 + // Number of tables + fxV = 2 + // Window size + fxW = 3 + // Number of points per table + fx2w1 = (1 << (uint(fxW) - 1)) +) + +var tableBaseFixed = [fxV][fx2w1]pointR3{ + { + { + addYX: Fq{ + [SizeFp]byte{0x31, 0xe6, 0x03, 0xa7, 0xf3, 0x34, 0x8a, 0xe1, 0x5f, 0x2b, 0x50, 0x1d, 0xbf, 0x60, 0x74, 0x28}, + [SizeFp]byte{0x53, 0x03, 0xf9, 0xe4, 0xf7, 0x62, 0x2e, 0xe0, 0xde, 0xac, 0x86, 0x8b, 0x37, 0xa0, 0x3b, 0x0c}, + }, + subYX: Fq{ + [SizeFp]byte{0xdc, 0x7e, 0x93, 0xb0, 0x98, 0x0f, 0xbf, 0x90, 0x55, 0xc5, 0xf0, 0x24, 0x78, 0x7c, 0x0b, 0x74}, + [SizeFp]byte{0x66, 0x13, 0xa0, 0x23, 0x91, 0x23, 0x21, 0xb3, 0xa5, 0x57, 0x95, 0x3a, 0xb9, 0xf5, 0xfc, 0x4f}, + }, + dt2: Fq{ + [SizeFp]byte{0xbb, 0x42, 0xda, 0xab, 0xcb, 0xfc, 0x7a, 0x29, 0xc6, 0x97, 0x6c, 0x55, 0x37, 0xd1, 0x48, 0x59}, + [SizeFp]byte{0x4c, 0x68, 0x30, 0x33, 0x39, 0x9a, 0x18, 0xa8, 0x27, 0x1f, 0x34, 0x0a, 0x72, 0x2b, 0xaf, 0x0c}, + }, + }, + { + addYX: Fq{ + [SizeFp]byte{0x6a, 0x23, 0x5d, 0xcf, 0x2e, 0xf2, 0x8b, 0x5f, 0x5a, 0x2a, 0x6f, 0xa0, 0xef, 0xa7, 0x76, 0x32}, + [SizeFp]byte{0x57, 0xad, 0x0b, 0x1a, 0x60, 0xc4, 0x43, 0xdf, 0x6a, 0xbc, 0x31, 0xe6, 0x55, 0xd5, 0xc4, 0x4b}, + }, + subYX: Fq{ + [SizeFp]byte{0xf7, 0xab, 0xbf, 0xd2, 0x55, 0x8c, 0x13, 0xfe, 0xca, 0x64, 0x65, 0x03, 0xa9, 0x93, 0x29, 0x64}, + [SizeFp]byte{0xb5, 0x9b, 0xdd, 0x17, 0xb1, 0x5a, 0x0e, 0xbc, 0x22, 0x41, 0x77, 0x11, 0x25, 0x6f, 0xa1, 0x68}, + }, + dt2: Fq{ + [SizeFp]byte{0xb6, 0x76, 0xfe, 0x14, 0xa1, 0x31, 0x4e, 0xc8, 0xc4, 0x5f, 0x2c, 0x8d, 0x05, 0x23, 0xa8, 0x16}, + [SizeFp]byte{0x9d, 0x45, 0x6d, 0x97, 0xd7, 0x0a, 0x22, 0x5a, 0x7a, 0x71, 0x2c, 0x06, 0x6d, 0xeb, 0x9a, 0x7d}, + }, + }, + { + addYX: Fq{ + [SizeFp]byte{0x46, 0x6b, 0x69, 0xeb, 0x7f, 0x13, 0x9a, 0x2b, 0x40, 0x0a, 0xc1, 0xdc, 0xfa, 0x66, 0xf0, 0x39}, + [SizeFp]byte{0x77, 0x9c, 0xd9, 0x0a, 0x0e, 0x65, 0xb3, 0xc6, 0xbd, 0x1d, 0x7f, 0xe0, 0xf8, 0x5a, 0x4f, 0x55}, + }, + subYX: Fq{ + [SizeFp]byte{0xc1, 0x88, 0xb5, 0x09, 0xd0, 0xc5, 0x63, 0x62, 0x8e, 0x0e, 0x6b, 0xeb, 0xfd, 0x49, 0x27, 0x7a}, + [SizeFp]byte{0x8c, 0x38, 0x5e, 0x06, 0x05, 0x17, 0x5e, 0xe4, 0x2f, 0xda, 0x4b, 0x9f, 0x94, 0x68, 0x4d, 0x5b}, + }, + dt2: Fq{ + [SizeFp]byte{0x6f, 0x84, 0xf3, 0x3f, 0x08, 0x26, 0x0c, 0xb4, 0xfa, 0xc7, 0x9e, 0xe6, 0x2f, 0xef, 0x3f, 0x53}, + [SizeFp]byte{0x47, 0xd1, 0x71, 0x88, 0x9d, 0x2e, 0xcd, 0x4e, 0x94, 0x03, 0x49, 0xbe, 0x0b, 0x1a, 0x91, 0x6d}, + }, + }, + { + addYX: Fq{ + [SizeFp]byte{0x73, 0x9b, 0x3b, 0x99, 0x69, 0x39, 0x8c, 0xda, 0xf2, 0x3d, 0xba, 0xad, 0x7c, 0x75, 0xeb, 0x26}, + [SizeFp]byte{0x18, 0x56, 0xe6, 0xa9, 0xa4, 0x10, 0xf3, 0x13, 0x33, 0x25, 0x04, 0x60, 0x2a, 0x00, 0x62, 0x18}, + }, + subYX: Fq{ + [SizeFp]byte{0x6d, 0xcd, 0x87, 0xca, 0xce, 0xd1, 0xda, 0xb4, 0x5f, 0xd9, 0x0c, 0x21, 0x45, 0x3d, 0xf4, 0x38}, + [SizeFp]byte{0xc1, 0xe5, 0x03, 0xa6, 0x64, 0x57, 0x30, 0x13, 0xc7, 0xf8, 0xaa, 0xf2, 0xcd, 0x8f, 0x57, 0x6e}, + }, + dt2: Fq{ + [SizeFp]byte{0x05, 0x02, 0xcb, 0x13, 0xd6, 0x24, 0xa0, 0x20, 0xa9, 0xe0, 0xe0, 0xdd, 0x90, 0x6f, 0xd0, 0x7c}, + [SizeFp]byte{0xfc, 0x91, 0x59, 0x14, 0x5b, 0xa4, 0x8e, 0xf5, 0xe1, 0xc0, 0x4c, 0x82, 0xce, 0xe2, 0xf6, 0x41}, + }, + }, + }, + { + { + addYX: Fq{ + [SizeFp]byte{0x60, 0x31, 0xb8, 0xc2, 0xb0, 0x7f, 0x36, 0xdb, 0x8c, 0xe8, 0xfc, 0x0a, 0x1b, 0xf3, 0x2e, 0x21}, + [SizeFp]byte{0x5e, 0x89, 0xd9, 0xf0, 0xfc, 0x47, 0xe5, 0x20, 0x10, 0xe6, 0x26, 0xf2, 0x67, 0xdb, 0xcc, 0x42}, + }, + subYX: Fq{ + [SizeFp]byte{0x0e, 0x3b, 0xad, 0x12, 0x15, 0xa3, 0x40, 0x9e, 0x73, 0x97, 0x99, 0x43, 0x28, 0x74, 0xfe, 0x6d}, + [SizeFp]byte{0x92, 0x93, 0x68, 0xe8, 0xf5, 0xaf, 0x70, 0x4f, 0x1b, 0x4a, 0x36, 0x13, 0x21, 0x89, 0xee, 0x5f}, + }, + dt2: Fq{ + [SizeFp]byte{0x41, 0xc5, 0x53, 0xc7, 0xf7, 0xa4, 0x99, 0x82, 0x00, 0x49, 0x7f, 0x5f, 0xbe, 0x40, 0xc2, 0x7f}, + [SizeFp]byte{0xa6, 0x22, 0xe3, 0x40, 0x6e, 0xc7, 0xee, 0x4c, 0xff, 0x36, 0xf4, 0x01, 0x4b, 0x52, 0x54, 0x77}, + }, + }, + { + addYX: Fq{ + [SizeFp]byte{0x35, 0x58, 0xef, 0x56, 0xbc, 0xbb, 0xdf, 0xf9, 0x59, 0x2e, 0xf2, 0x2f, 0x4d, 0x89, 0xd8, 0x1d}, + [SizeFp]byte{0x6c, 0xde, 0xe6, 0xde, 0x89, 0x39, 0x24, 0x3a, 0xce, 0x8e, 0xf5, 0x46, 0x33, 0x2b, 0xa8, 0x12}, + }, + subYX: Fq{ + [SizeFp]byte{0x60, 0x72, 0x41, 0xb1, 0x06, 0xaf, 0x7d, 0x08, 0x6e, 0xee, 0xb7, 0x5e, 0x23, 0x95, 0xbf, 0x79}, + [SizeFp]byte{0x34, 0x42, 0xdc, 0x3a, 0x73, 0x96, 0x94, 0xbe, 0xb9, 0x5d, 0xb4, 0x4b, 0x10, 0x48, 0x5e, 0x25}, + }, + dt2: Fq{ + [SizeFp]byte{0x44, 0xff, 0xf4, 0x38, 0x90, 0x9d, 0xf4, 0x14, 0x9f, 0x4d, 0x5c, 0xab, 0xee, 0x68, 0xba, 0x0d}, + [SizeFp]byte{0x45, 0x95, 0xe5, 0x91, 0x20, 0x15, 0x7b, 0xe8, 0x1f, 0x89, 0x12, 0x51, 0xd3, 0xfa, 0x82, 0x0d}, + }, + }, + { + addYX: Fq{ + [SizeFp]byte{0x0c, 0xa3, 0xf8, 0x33, 0x76, 0x28, 0x4f, 0x2d, 0x26, 0xcc, 0x29, 0x77, 0x1a, 0xb3, 0x6e, 0x41}, + [SizeFp]byte{0xef, 0xc8, 0x87, 0x5d, 0x26, 0x5d, 0x2f, 0xd1, 0x5c, 0xe0, 0x04, 0x58, 0x1c, 0xa9, 0x80, 0x4d}, + }, + subYX: Fq{ + [SizeFp]byte{0x0a, 0xff, 0x06, 0x42, 0xe4, 0x76, 0xc5, 0xfa, 0xcd, 0x2a, 0xfb, 0x4c, 0xfa, 0x22, 0x0a, 0x7d}, + [SizeFp]byte{0xd9, 0x5c, 0x89, 0x6d, 0x63, 0xe8, 0x0a, 0xb3, 0x29, 0xa4, 0xb9, 0x42, 0x12, 0x1d, 0xea, 0x00}, + }, + dt2: Fq{ + [SizeFp]byte{0xb3, 0x59, 0x9d, 0x40, 0xdb, 0x32, 0x11, 0x41, 0x10, 0xa1, 0xbf, 0xf1, 0x7a, 0xe3, 0xdd, 0x11}, + [SizeFp]byte{0x2c, 0xcc, 0x5c, 0x98, 0x1c, 0xd5, 0x95, 0xd2, 0x96, 0x51, 0xb1, 0x82, 0xb2, 0x7f, 0xe7, 0x6a}, + }, + }, + { + addYX: Fq{ + [SizeFp]byte{0x07, 0xe9, 0xb9, 0x83, 0xeb, 0xf2, 0x9f, 0xd7, 0x43, 0x7c, 0xc2, 0xb0, 0x32, 0x70, 0xd0, 0x52}, + [SizeFp]byte{0xf9, 0x70, 0x82, 0x31, 0x7a, 0x9a, 0x9f, 0x75, 0xe9, 0x6c, 0x87, 0x73, 0x97, 0x1a, 0x5a, 0x22}, + }, + subYX: Fq{ + [SizeFp]byte{0x0b, 0x3b, 0xe5, 0x98, 0xdc, 0xf6, 0xd1, 0xf5, 0xb7, 0x7e, 0x34, 0x22, 0x35, 0x60, 0x41, 0x53}, + [SizeFp]byte{0x1f, 0xf4, 0xcc, 0x56, 0xbb, 0x76, 0x3e, 0xd9, 0x3b, 0x63, 0x82, 0x25, 0x98, 0x12, 0x80, 0x02}, + }, + dt2: Fq{ + [SizeFp]byte{0xeb, 0xdc, 0x9a, 0x7a, 0x70, 0x61, 0x5d, 0x6e, 0x41, 0x05, 0xd4, 0x0b, 0x4a, 0x63, 0x2a, 0x3b}, + [SizeFp]byte{0xab, 0x52, 0xe0, 0xb1, 0x3f, 0x8a, 0xb0, 0x2d, 0x55, 0xf8, 0x1c, 0xeb, 0xc1, 0x1b, 0xc8, 0x35}, + }, + }, + }, +} diff --git a/src/circl/ecc/goldilocks/constants.go b/src/circl/ecc/goldilocks/constants.go new file mode 100644 index 00000000000..6b722140873 --- /dev/null +++ b/src/circl/ecc/goldilocks/constants.go @@ -0,0 +1,71 @@ +package goldilocks + +import fp "circl/math/fp448" + +var ( + // genX is the x-coordinate of the generator of Goldilocks curve. + genX = fp.Elt{ + 0x5e, 0xc0, 0x0c, 0xc7, 0x2b, 0xa8, 0x26, 0x26, + 0x8e, 0x93, 0x00, 0x8b, 0xe1, 0x80, 0x3b, 0x43, + 0x11, 0x65, 0xb6, 0x2a, 0xf7, 0x1a, 0xae, 0x12, + 0x64, 0xa4, 0xd3, 0xa3, 0x24, 0xe3, 0x6d, 0xea, + 0x67, 0x17, 0x0f, 0x47, 0x70, 0x65, 0x14, 0x9e, + 0xda, 0x36, 0xbf, 0x22, 0xa6, 0x15, 0x1d, 0x22, + 0xed, 0x0d, 0xed, 0x6b, 0xc6, 0x70, 0x19, 0x4f, + } + // genY is the y-coordinate of the generator of Goldilocks curve. + genY = fp.Elt{ + 0x14, 0xfa, 0x30, 0xf2, 0x5b, 0x79, 0x08, 0x98, + 0xad, 0xc8, 0xd7, 0x4e, 0x2c, 0x13, 0xbd, 0xfd, + 0xc4, 0x39, 0x7c, 0xe6, 0x1c, 0xff, 0xd3, 0x3a, + 0xd7, 0xc2, 0xa0, 0x05, 0x1e, 0x9c, 0x78, 0x87, + 0x40, 0x98, 0xa3, 0x6c, 0x73, 0x73, 0xea, 0x4b, + 0x62, 0xc7, 0xc9, 0x56, 0x37, 0x20, 0x76, 0x88, + 0x24, 0xbc, 0xb6, 0x6e, 0x71, 0x46, 0x3f, 0x69, + } + // paramD is -39081 in Fp. + paramD = fp.Elt{ + 0x56, 0x67, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } + // order is 2^446-0x8335dc163bb124b65129c96fde933d8d723a70aadc873d6d54a7bb0d, + // which is the number of points in the prime subgroup. + order = Scalar{ + 0xf3, 0x44, 0x58, 0xab, 0x92, 0xc2, 0x78, 0x23, + 0x55, 0x8f, 0xc5, 0x8d, 0x72, 0xc2, 0x6c, 0x21, + 0x90, 0x36, 0xd6, 0xae, 0x49, 0xdb, 0x4e, 0xc4, + 0xe9, 0x23, 0xca, 0x7c, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x3f, + } + // residue448 is 2^448 mod order. + residue448 = [4]uint64{ + 0x721cf5b5529eec34, 0x7a4cf635c8e9c2ab, 0xeec492d944a725bf, 0x20cd77058, + } + // invFour is 1/4 mod order. + invFour = Scalar{ + 0x3d, 0x11, 0xd6, 0xaa, 0xa4, 0x30, 0xde, 0x48, + 0xd5, 0x63, 0x71, 0xa3, 0x9c, 0x30, 0x5b, 0x08, + 0xa4, 0x8d, 0xb5, 0x6b, 0xd2, 0xb6, 0x13, 0x71, + 0xfa, 0x88, 0x32, 0xdf, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x0f, + } + // paramDTwist is -39082 in Fp. The D parameter of the twist curve. + paramDTwist = fp.Elt{ + 0x55, 0x67, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } +) diff --git a/src/circl/ecc/goldilocks/curve.go b/src/circl/ecc/goldilocks/curve.go new file mode 100644 index 00000000000..736cb080220 --- /dev/null +++ b/src/circl/ecc/goldilocks/curve.go @@ -0,0 +1,80 @@ +// Package goldilocks provides elliptic curve operations over the goldilocks curve. +package goldilocks + +import fp "circl/math/fp448" + +// Curve is the Goldilocks curve x^2+y^2=z^2-39081x^2y^2. +type Curve struct{} + +// Identity returns the identity point. +func (Curve) Identity() *Point { + return &Point{ + y: fp.One(), + z: fp.One(), + } +} + +// IsOnCurve returns true if the point lies on the curve. +func (Curve) IsOnCurve(P *Point) bool { + x2, y2, t, t2, z2 := &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{} + rhs, lhs := &fp.Elt{}, &fp.Elt{} + fp.Mul(t, &P.ta, &P.tb) // t = ta*tb + fp.Sqr(x2, &P.x) // x^2 + fp.Sqr(y2, &P.y) // y^2 + fp.Sqr(z2, &P.z) // z^2 + fp.Sqr(t2, t) // t^2 + fp.Add(lhs, x2, y2) // x^2 + y^2 + fp.Mul(rhs, t2, ¶mD) // dt^2 + fp.Add(rhs, rhs, z2) // z^2 + dt^2 + fp.Sub(lhs, lhs, rhs) // x^2 + y^2 - (z^2 + dt^2) + eq0 := fp.IsZero(lhs) + + fp.Mul(lhs, &P.x, &P.y) // xy + fp.Mul(rhs, t, &P.z) // tz + fp.Sub(lhs, lhs, rhs) // xy - tz + eq1 := fp.IsZero(lhs) + return eq0 && eq1 +} + +// Generator returns the generator point. +func (Curve) Generator() *Point { + return &Point{ + x: genX, + y: genY, + z: fp.One(), + ta: genX, + tb: genY, + } +} + +// Order returns the number of points in the prime subgroup. +func (Curve) Order() Scalar { return order } + +// Double returns 2P. +func (Curve) Double(P *Point) *Point { R := *P; R.Double(); return &R } + +// Add returns P+Q. +func (Curve) Add(P, Q *Point) *Point { R := *P; R.Add(Q); return &R } + +// ScalarMult returns kP. This function runs in constant time. +func (e Curve) ScalarMult(k *Scalar, P *Point) *Point { + k4 := &Scalar{} + k4.divBy4(k) + return e.pull(twistCurve{}.ScalarMult(k4, e.push(P))) +} + +// ScalarBaseMult returns kG where G is the generator point. This function runs in constant time. +func (e Curve) ScalarBaseMult(k *Scalar) *Point { + k4 := &Scalar{} + k4.divBy4(k) + return e.pull(twistCurve{}.ScalarBaseMult(k4)) +} + +// CombinedMult returns mG+nP, where G is the generator point. This function is non-constant time. +func (e Curve) CombinedMult(m, n *Scalar, P *Point) *Point { + m4 := &Scalar{} + n4 := &Scalar{} + m4.divBy4(m) + n4.divBy4(n) + return e.pull(twistCurve{}.CombinedMult(m4, n4, twistCurve{}.pull(P))) +} diff --git a/src/circl/ecc/goldilocks/curve_test.go b/src/circl/ecc/goldilocks/curve_test.go new file mode 100644 index 00000000000..e95152daf67 --- /dev/null +++ b/src/circl/ecc/goldilocks/curve_test.go @@ -0,0 +1,113 @@ +package goldilocks_test + +import ( + "crypto/rand" + "testing" + + "circl/ecc/goldilocks" + "circl/internal/test" +) + +func TestScalarMult(t *testing.T) { + const testTimes = 1 << 8 + var e goldilocks.Curve + k := &goldilocks.Scalar{} + zero := &goldilocks.Scalar{} + + t.Run("rG=0", func(t *testing.T) { + order := e.Order() + for i := 0; i < testTimes; i++ { + got := e.ScalarBaseMult(&order) + got.ToAffine() + want := e.Identity() + + if !e.IsOnCurve(got) || !e.IsOnCurve(want) || !got.IsEqual(want) { + want.ToAffine() + test.ReportError(t, got, want) + } + } + }) + t.Run("rP=0", func(t *testing.T) { + order := e.Order() + for i := 0; i < testTimes; i++ { + P := randomPoint() + + got := e.ScalarMult(&order, P) + got.ToAffine() + want := e.Identity() + + if !e.IsOnCurve(got) || !e.IsOnCurve(want) || !got.IsEqual(want) { + want.ToAffine() + test.ReportError(t, got, want, P, order) + } + } + }) + t.Run("kG", func(t *testing.T) { + I := e.Identity() + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k[:]) + + got := e.ScalarBaseMult(k) + want := e.CombinedMult(k, zero, I) // k*G + 0*I + + if !e.IsOnCurve(got) || !e.IsOnCurve(want) || !got.IsEqual(want) { + test.ReportError(t, got, want, k) + } + } + }) + t.Run("kP", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + P := randomPoint() + _, _ = rand.Read(k[:]) + + got := e.ScalarMult(k, P) + want := e.CombinedMult(zero, k, P) + + if !e.IsOnCurve(got) || !e.IsOnCurve(want) || !got.IsEqual(want) { + test.ReportError(t, got, want, P, k) + } + } + }) + t.Run("kG+lP", func(t *testing.T) { + G := e.Generator() + l := &goldilocks.Scalar{} + for i := 0; i < testTimes; i++ { + P := randomPoint() + _, _ = rand.Read(k[:]) + _, _ = rand.Read(l[:]) + + kG := e.ScalarMult(k, G) + lP := e.ScalarMult(l, P) + got := e.Add(kG, lP) + want := e.CombinedMult(k, l, P) + + if !e.IsOnCurve(got) || !e.IsOnCurve(want) || !got.IsEqual(want) { + test.ReportError(t, got, want, P, k, l) + } + } + }) +} + +func BenchmarkCurve(b *testing.B) { + var e goldilocks.Curve + var k, l goldilocks.Scalar + _, _ = rand.Read(k[:]) + _, _ = rand.Read(l[:]) + P := randomPoint() + + b.Run("ScalarMult", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P = e.ScalarMult(&k, P) + } + }) + b.Run("ScalarBaseMult", func(b *testing.B) { + for i := 0; i < b.N; i++ { + e.ScalarBaseMult(&k) + } + }) + b.Run("CombinedMult", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P = e.CombinedMult(&k, &l, P) + } + }) +} diff --git a/src/circl/ecc/goldilocks/isogeny.go b/src/circl/ecc/goldilocks/isogeny.go new file mode 100644 index 00000000000..9941924ed9f --- /dev/null +++ b/src/circl/ecc/goldilocks/isogeny.go @@ -0,0 +1,52 @@ +package goldilocks + +import fp "circl/math/fp448" + +func (Curve) pull(P *twistPoint) *Point { return twistCurve{}.push(P) } +func (twistCurve) pull(P *Point) *twistPoint { return Curve{}.push(P) } + +// push sends a point on the Goldilocks curve to a point on the twist curve. +func (Curve) push(P *Point) *twistPoint { + Q := &twistPoint{} + Px, Py, Pz := &P.x, &P.y, &P.z + a, b, c, d, e, f, g, h := &Q.x, &Q.y, &Q.z, &fp.Elt{}, &Q.ta, &Q.x, &Q.y, &Q.tb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + *d = *a // D = A + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, a) // (x+y)^2-A + fp.Sub(e, e, b) // E = (x+y)^2-A-B + fp.Add(h, b, d) // H = B+D + fp.Sub(g, b, d) // G = B-D + fp.Sub(f, c, h) // F = C-H + fp.Mul(&Q.z, f, g) // Z = F * G + fp.Mul(&Q.x, e, f) // X = E * F + fp.Mul(&Q.y, g, h) // Y = G * H, // T = E * H + return Q +} + +// push sends a point on the twist curve to a point on the Goldilocks curve. +func (twistCurve) push(P *twistPoint) *Point { + Q := &Point{} + Px, Py, Pz := &P.x, &P.y, &P.z + a, b, c, d, e, f, g, h := &Q.x, &Q.y, &Q.z, &fp.Elt{}, &Q.ta, &Q.x, &Q.y, &Q.tb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + fp.Neg(d, a) // D = -A + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, a) // (x+y)^2-A + fp.Sub(e, e, b) // E = (x+y)^2-A-B + fp.Add(h, b, d) // H = B+D + fp.Sub(g, b, d) // G = B-D + fp.Sub(f, c, h) // F = C-H + fp.Mul(&Q.z, f, g) // Z = F * G + fp.Mul(&Q.x, e, f) // X = E * F + fp.Mul(&Q.y, g, h) // Y = G * H, // T = E * H + return Q +} diff --git a/src/circl/ecc/goldilocks/isogeny_test.go b/src/circl/ecc/goldilocks/isogeny_test.go new file mode 100644 index 00000000000..ba03c8d9809 --- /dev/null +++ b/src/circl/ecc/goldilocks/isogeny_test.go @@ -0,0 +1,35 @@ +package goldilocks + +import ( + "crypto/rand" + "testing" + + "circl/internal/test" +) + +func randomPoint() *Point { + var k Scalar + _, _ = rand.Read(k[:]) + return Curve{}.ScalarBaseMult(&k) +} + +func TestIsogeny(t *testing.T) { + const testTimes = 1 << 10 + var gold Curve + var twist twistCurve + + for i := 0; i < testTimes; i++ { + P := randomPoint() + Q := gold.pull(gold.push(P)) // phi^-(phi^+(P)) + got := Q + want := gold.Double(gold.Double(P)) // 4P + if !got.IsEqual(want) { + test.ReportError(t, got, want, P) + } + got = twist.push(twist.pull(Q)) // phi^-(phi^+(Q)) + want = gold.Double(gold.Double(Q)) // 4Q + if !got.IsEqual(want) { + test.ReportError(t, got, want, P) + } + } +} diff --git a/src/circl/ecc/goldilocks/point.go b/src/circl/ecc/goldilocks/point.go new file mode 100644 index 00000000000..10ed9d7b670 --- /dev/null +++ b/src/circl/ecc/goldilocks/point.go @@ -0,0 +1,171 @@ +package goldilocks + +import ( + "errors" + "fmt" + + fp "circl/math/fp448" +) + +// Point is a point on the Goldilocks Curve. +type Point struct{ x, y, z, ta, tb fp.Elt } + +func (P Point) String() string { + return fmt.Sprintf("x: %v\ny: %v\nz: %v\nta: %v\ntb: %v", P.x, P.y, P.z, P.ta, P.tb) +} + +// FromAffine creates a point from affine coordinates. +func FromAffine(x, y *fp.Elt) (*Point, error) { + P := &Point{ + x: *x, + y: *y, + z: fp.One(), + ta: *x, + tb: *y, + } + if !(Curve{}).IsOnCurve(P) { + return P, errors.New("point not on curve") + } + return P, nil +} + +// isLessThan returns true if 0 <= x < y, and assumes that slices are of the +// same length and are interpreted in little-endian order. +func isLessThan(x, y []byte) bool { + i := len(x) - 1 + for i > 0 && x[i] == y[i] { + i-- + } + return x[i] < y[i] +} + +// FromBytes returns a point from the input buffer. +func FromBytes(in []byte) (*Point, error) { + if len(in) < fp.Size+1 { + return nil, errors.New("wrong input length") + } + var err = errors.New("invalid decoding") + P := &Point{} + signX := in[fp.Size] >> 7 + copy(P.y[:], in[:fp.Size]) + p := fp.P() + if !isLessThan(P.y[:], p[:]) { + return nil, err + } + + u, v := &fp.Elt{}, &fp.Elt{} + one := fp.One() + fp.Sqr(u, &P.y) // u = y^2 + fp.Mul(v, u, ¶mD) // v = dy^2 + fp.Sub(u, u, &one) // u = y^2-1 + fp.Sub(v, v, &one) // v = dy^2-1 + isQR := fp.InvSqrt(&P.x, u, v) // x = sqrt(u/v) + if !isQR { + return nil, err + } + fp.Modp(&P.x) // x = x mod p + if fp.IsZero(&P.x) && signX == 1 { + return nil, err + } + if signX != (P.x[0] & 1) { + fp.Neg(&P.x, &P.x) + } + P.ta = P.x + P.tb = P.y + P.z = fp.One() + return P, nil +} + +// IsIdentity returns true is P is the identity Point. +func (P *Point) IsIdentity() bool { + return fp.IsZero(&P.x) && !fp.IsZero(&P.y) && !fp.IsZero(&P.z) && P.y == P.z +} + +// IsEqual returns true if P is equivalent to Q. +func (P *Point) IsEqual(Q *Point) bool { + l, r := &fp.Elt{}, &fp.Elt{} + fp.Mul(l, &P.x, &Q.z) + fp.Mul(r, &Q.x, &P.z) + fp.Sub(l, l, r) + b := fp.IsZero(l) + fp.Mul(l, &P.y, &Q.z) + fp.Mul(r, &Q.y, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + fp.Mul(l, &P.ta, &P.tb) + fp.Mul(l, l, &Q.z) + fp.Mul(r, &Q.ta, &Q.tb) + fp.Mul(r, r, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + return b +} + +// Neg obtains the inverse of the Point. +func (P *Point) Neg() { fp.Neg(&P.x, &P.x); fp.Neg(&P.ta, &P.ta) } + +// ToAffine returns the x,y affine coordinates of P. +func (P *Point) ToAffine() (x, y fp.Elt) { + fp.Inv(&P.z, &P.z) // 1/z + fp.Mul(&P.x, &P.x, &P.z) // x/z + fp.Mul(&P.y, &P.y, &P.z) // y/z + fp.Modp(&P.x) + fp.Modp(&P.y) + fp.SetOne(&P.z) + P.ta = P.x + P.tb = P.y + return P.x, P.y +} + +// ToBytes stores P into a slice of bytes. +func (P *Point) ToBytes(out []byte) error { + if len(out) < fp.Size+1 { + return errors.New("invalid decoding") + } + x, y := P.ToAffine() + out[fp.Size] = (x[0] & 1) << 7 + return fp.ToBytes(out[:fp.Size], &y) +} + +// MarshalBinary encodes the receiver into a binary form and returns the result. +func (P *Point) MarshalBinary() (data []byte, err error) { + data = make([]byte, fp.Size+1) + err = P.ToBytes(data[:fp.Size+1]) + return data, err +} + +// UnmarshalBinary must be able to decode the form generated by MarshalBinary. +func (P *Point) UnmarshalBinary(data []byte) error { Q, err := FromBytes(data); *P = *Q; return err } + +// Double sets P = 2Q. +func (P *Point) Double() { P.Add(P) } + +// Add sets P =P+Q.. +func (P *Point) Add(Q *Point) { + // This is formula (5) from "Twisted Edwards Curves Revisited" by + // Hisil H., Wong K.KH., Carter G., Dawson E. (2008) + // https://doi.org/10.1007/978-3-540-89255-7_20 + x1, y1, z1, ta1, tb1 := &P.x, &P.y, &P.z, &P.ta, &P.tb + x2, y2, z2, ta2, tb2 := &Q.x, &Q.y, &Q.z, &Q.ta, &Q.tb + x3, y3, z3, E, H := &P.x, &P.y, &P.z, &P.ta, &P.tb + A, B, C, D := &fp.Elt{}, &fp.Elt{}, &fp.Elt{}, &fp.Elt{} + t1, t2, F, G := C, D, &fp.Elt{}, &fp.Elt{} + fp.Mul(t1, ta1, tb1) // t1 = ta1*tb1 + fp.Mul(t2, ta2, tb2) // t2 = ta2*tb2 + fp.Mul(A, x1, x2) // A = x1*x2 + fp.Mul(B, y1, y2) // B = y1*y2 + fp.Mul(C, t1, t2) // t1*t2 + fp.Mul(C, C, ¶mD) // C = d*t1*t2 + fp.Mul(D, z1, z2) // D = z1*z2 + fp.Add(F, x1, y1) // x1+y1 + fp.Add(E, x2, y2) // x2+y2 + fp.Mul(E, E, F) // (x1+y1)*(x2+y2) + fp.Sub(E, E, A) // (x1+y1)*(x2+y2)-A + fp.Sub(E, E, B) // E = (x1+y1)*(x2+y2)-A-B + fp.Sub(F, D, C) // F = D-C + fp.Add(G, D, C) // G = D+C + fp.Sub(H, B, A) // H = B-A + fp.Mul(z3, F, G) // Z = F * G + fp.Mul(x3, E, F) // X = E * F + fp.Mul(y3, G, H) // Y = G * H, T = E * H +} diff --git a/src/circl/ecc/goldilocks/point_test.go b/src/circl/ecc/goldilocks/point_test.go new file mode 100644 index 00000000000..e1c171cac03 --- /dev/null +++ b/src/circl/ecc/goldilocks/point_test.go @@ -0,0 +1,101 @@ +package goldilocks_test + +import ( + "crypto/rand" + "encoding" + "testing" + + "circl/ecc/goldilocks" + "circl/internal/test" +) + +func randomPoint() *goldilocks.Point { + var k goldilocks.Scalar + _, _ = rand.Read(k[:]) + return goldilocks.Curve{}.ScalarBaseMult(&k) +} + +func TestPointAdd(t *testing.T) { + const testTimes = 1 << 10 + var e goldilocks.Curve + for i := 0; i < testTimes; i++ { + P := randomPoint() + // 16P = 2^4P + got := e.Double(e.Double(e.Double(e.Double(P)))) + // 16P = P+P...+P + Q := e.Identity() + for j := 0; j < 16; j++ { + Q = e.Add(Q, P) + } + want := Q + if !e.IsOnCurve(got) || !e.IsOnCurve(want) || !got.IsEqual(want) { + test.ReportError(t, got, want, P) + } + } +} + +func TestPointNeg(t *testing.T) { + const testTimes = 1 << 10 + var e goldilocks.Curve + for i := 0; i < testTimes; i++ { + P := randomPoint() + Q := *P + Q.Neg() + R := e.Add(P, &Q) + got := R.IsIdentity() + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } +} + +func TestPointAffine(t *testing.T) { + const testTimes = 1 << 10 + for i := 0; i < testTimes; i++ { + got := randomPoint() + x, y := got.ToAffine() + want, err := goldilocks.FromAffine(&x, &y) + if !got.IsEqual(want) || err != nil { + test.ReportError(t, got, want) + } + } +} + +func TestPointMarshal(t *testing.T) { + const testTimes = 1 << 10 + var want error + for i := 0; i < testTimes; i++ { + var P interface{} = randomPoint() + mar, _ := P.(encoding.BinaryMarshaler) + data, got := mar.MarshalBinary() + if got != want { + test.ReportError(t, got, want, P) + } + unmar, _ := P.(encoding.BinaryUnmarshaler) + got = unmar.UnmarshalBinary(data) + if got != want { + test.ReportError(t, got, want, P) + } + } +} + +func BenchmarkPoint(b *testing.B) { + P := randomPoint() + Q := randomPoint() + b.Run("ToAffine", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.ToAffine() + } + }) + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.Add(Q) + } + }) + b.Run("Double", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.Double() + } + }) +} diff --git a/src/circl/ecc/goldilocks/scalar.go b/src/circl/ecc/goldilocks/scalar.go new file mode 100644 index 00000000000..852d74f3acd --- /dev/null +++ b/src/circl/ecc/goldilocks/scalar.go @@ -0,0 +1,203 @@ +package goldilocks + +import ( + "encoding/binary" + "math/bits" +) + +// ScalarSize is the size (in bytes) of scalars. +const ScalarSize = 56 // 448 / 8 + +//_N is the number of 64-bit words to store scalars. +const _N = 7 // 448 / 64 + +// Scalar represents a positive integer stored in little-endian order. +type Scalar [ScalarSize]byte + +type scalar64 [_N]uint64 + +func (z *scalar64) fromScalar(x *Scalar) { + z[0] = binary.LittleEndian.Uint64(x[0*8 : 1*8]) + z[1] = binary.LittleEndian.Uint64(x[1*8 : 2*8]) + z[2] = binary.LittleEndian.Uint64(x[2*8 : 3*8]) + z[3] = binary.LittleEndian.Uint64(x[3*8 : 4*8]) + z[4] = binary.LittleEndian.Uint64(x[4*8 : 5*8]) + z[5] = binary.LittleEndian.Uint64(x[5*8 : 6*8]) + z[6] = binary.LittleEndian.Uint64(x[6*8 : 7*8]) +} + +func (z *scalar64) toScalar(x *Scalar) { + binary.LittleEndian.PutUint64(x[0*8:1*8], z[0]) + binary.LittleEndian.PutUint64(x[1*8:2*8], z[1]) + binary.LittleEndian.PutUint64(x[2*8:3*8], z[2]) + binary.LittleEndian.PutUint64(x[3*8:4*8], z[3]) + binary.LittleEndian.PutUint64(x[4*8:5*8], z[4]) + binary.LittleEndian.PutUint64(x[5*8:6*8], z[5]) + binary.LittleEndian.PutUint64(x[6*8:7*8], z[6]) +} + +// add calculates z = x + y. Assumes len(z) > max(len(x),len(y)). +func add(z, x, y []uint64) uint64 { + l, L, zz := len(x), len(y), y + if l > L { + l, L, zz = L, l, x + } + c := uint64(0) + for i := 0; i < l; i++ { + z[i], c = bits.Add64(x[i], y[i], c) + } + for i := l; i < L; i++ { + z[i], c = bits.Add64(zz[i], 0, c) + } + return c +} + +// sub calculates z = x - y. Assumes len(z) > max(len(x),len(y)). +func sub(z, x, y []uint64) uint64 { + l, L, zz := len(x), len(y), y + if l > L { + l, L, zz = L, l, x + } + c := uint64(0) + for i := 0; i < l; i++ { + z[i], c = bits.Sub64(x[i], y[i], c) + } + for i := l; i < L; i++ { + z[i], c = bits.Sub64(zz[i], 0, c) + } + return c +} + +// mulWord calculates z = x * y. Assumes len(z) >= len(x)+1. +func mulWord(z, x []uint64, y uint64) { + for i := range z { + z[i] = 0 + } + carry := uint64(0) + for i := range x { + hi, lo := bits.Mul64(x[i], y) + lo, cc := bits.Add64(lo, z[i], 0) + hi, _ = bits.Add64(hi, 0, cc) + z[i], cc = bits.Add64(lo, carry, 0) + carry, _ = bits.Add64(hi, 0, cc) + } + z[len(x)] = carry +} + +// Cmov moves x into z if b=1. +func (z *scalar64) Cmov(b uint64, x *scalar64) { + m := uint64(0) - b + for i := range z { + z[i] = (z[i] &^ m) | (x[i] & m) + } +} + +// leftShift shifts to the left the words of z returning the more significant word. +func (z *scalar64) leftShift(low uint64) uint64 { + high := z[_N-1] + for i := _N - 1; i > 0; i-- { + z[i] = z[i-1] + } + z[0] = low + return high +} + +// reduceOneWord calculates z = z + 2^448*x such that the result fits in a Scalar. +func (z *scalar64) reduceOneWord(x uint64) { + prod := (&scalar64{})[:] + mulWord(prod, residue448[:], x) + cc := add(z[:], z[:], prod) + mulWord(prod, residue448[:], cc) + add(z[:], z[:], prod) +} + +// modOrder reduces z mod order. +func (z *scalar64) modOrder() { + var o64, x scalar64 + o64.fromScalar(&order) + // Performs: while (z >= order) { z = z-order } + // At most 8 (eight) iterations reduce 3 bits by subtracting. + for i := 0; i < 8; i++ { + c := sub(x[:], z[:], o64[:]) // (c || x) = z-order + z.Cmov(1-c, &x) // if c != 0 { z = x } + } +} + +// FromBytes stores z = x mod order, where x is a number stored in little-endian order. +func (z *Scalar) FromBytes(x []byte) { + n := len(x) + nCeil := (n + 7) >> 3 + for i := range z { + z[i] = 0 + } + if nCeil < _N { + copy(z[:], x) + return + } + copy(z[:], x[8*(nCeil-_N):]) + var z64 scalar64 + z64.fromScalar(z) + for i := nCeil - _N - 1; i >= 0; i-- { + low := binary.LittleEndian.Uint64(x[8*i:]) + high := z64.leftShift(low) + z64.reduceOneWord(high) + } + z64.modOrder() + z64.toScalar(z) +} + +// divBy4 calculates z = x/4 mod order. +func (z *Scalar) divBy4(x *Scalar) { z.Mul(x, &invFour) } + +// Red reduces z mod order. +func (z *Scalar) Red() { var t scalar64; t.fromScalar(z); t.modOrder(); t.toScalar(z) } + +// Neg calculates z = -z mod order. +func (z *Scalar) Neg() { z.Sub(&order, z) } + +// Add calculates z = x+y mod order. +func (z *Scalar) Add(x, y *Scalar) { + var z64, x64, y64, t scalar64 + x64.fromScalar(x) + y64.fromScalar(y) + c := add(z64[:], x64[:], y64[:]) + add(t[:], z64[:], residue448[:]) + z64.Cmov(c, &t) + z64.modOrder() + z64.toScalar(z) +} + +// Sub calculates z = x-y mod order. +func (z *Scalar) Sub(x, y *Scalar) { + var z64, x64, y64, t scalar64 + x64.fromScalar(x) + y64.fromScalar(y) + c := sub(z64[:], x64[:], y64[:]) + sub(t[:], z64[:], residue448[:]) + z64.Cmov(c, &t) + z64.modOrder() + z64.toScalar(z) +} + +// Mul calculates z = x*y mod order. +func (z *Scalar) Mul(x, y *Scalar) { + var z64, x64, y64 scalar64 + prod := (&[_N + 1]uint64{})[:] + x64.fromScalar(x) + y64.fromScalar(y) + mulWord(prod, x64[:], y64[_N-1]) + copy(z64[:], prod[:_N]) + z64.reduceOneWord(prod[_N]) + for i := _N - 2; i >= 0; i-- { + h := z64.leftShift(0) + z64.reduceOneWord(h) + mulWord(prod, x64[:], y64[i]) + c := add(z64[:], z64[:], prod[:_N]) + z64.reduceOneWord(prod[_N] + c) + } + z64.modOrder() + z64.toScalar(z) +} + +// IsZero returns true if z=0. +func (z *Scalar) IsZero() bool { z.Red(); return *z == Scalar{} } diff --git a/src/circl/ecc/goldilocks/scalar_test.go b/src/circl/ecc/goldilocks/scalar_test.go new file mode 100644 index 00000000000..bf0c9a53eac --- /dev/null +++ b/src/circl/ecc/goldilocks/scalar_test.go @@ -0,0 +1,107 @@ +package goldilocks_test + +import ( + "crypto/rand" + "encoding/binary" + "math/big" + "testing" + + "circl/ecc/goldilocks" + "circl/internal/conv" + "circl/internal/test" +) + +func TestReduceModOrder(t *testing.T) { + order := goldilocks.Curve{}.Order() + bigOrder := conv.BytesLe2BigInt(order[:]) + const max = 3*goldilocks.ScalarSize - 1 + var b [max]byte + _, _ = rand.Read(b[:]) + var z goldilocks.Scalar + for i := 0; i < max; i++ { + x := b[0:i] + bigX := conv.BytesLe2BigInt(x) + + z.FromBytes(x) + got := conv.BytesLe2BigInt(z[:]) + got.Mod(got, bigOrder) + + want := bigX.Mod(bigX, bigOrder) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, i) + } + } +} + +func testOp(t *testing.T, + f func(z, x, y *goldilocks.Scalar), + g func(z, x, y *big.Int)) { + const testTimes = 1 << 8 + var x, y, z goldilocks.Scalar + order := goldilocks.Curve{}.Order() + want := new(big.Int) + bigOrder := conv.BytesLe2BigInt(order[:]) + + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + bigX := conv.BytesLe2BigInt(x[:]) + bigY := conv.BytesLe2BigInt(y[:]) + + f(&z, &x, &y) + got := conv.BytesLe2BigInt(z[:]) + + g(want, bigX, bigY) + want.Mod(want, bigOrder) + if got.Cmp(want) != 0 { + test.ReportError(t, got.Text(16), want.Text(16), + conv.BytesLe2Hex(x[:]), + conv.BytesLe2Hex(y[:])) + } + } +} + +func TestScalar(t *testing.T) { + t.Run("Add", func(t *testing.T) { + testOp(t, + func(z, x, y *goldilocks.Scalar) { z.Add(x, y) }, + func(z, x, y *big.Int) { z.Add(x, y) }) + }) + t.Run("Sub", func(t *testing.T) { + testOp(t, + func(z, x, y *goldilocks.Scalar) { z.Sub(x, y) }, + func(z, x, y *big.Int) { z.Sub(x, y) }) + }) + t.Run("Mul", func(t *testing.T) { + testOp(t, + func(z, x, y *goldilocks.Scalar) { z.Mul(x, y) }, + func(z, x, y *big.Int) { z.Mul(x, y) }) + }) +} + +func BenchmarkScalar(b *testing.B) { + var k [2 * goldilocks.ScalarSize]byte + var x, y, z goldilocks.Scalar + _ = binary.Read(rand.Reader, binary.LittleEndian, x[:]) + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + z.Add(&x, &y) + } + }) + b.Run("Sub", func(b *testing.B) { + for i := 0; i < b.N; i++ { + z.Sub(&x, &y) + } + }) + b.Run("Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + z.Mul(&x, &y) + } + }) + b.Run("Red", func(b *testing.B) { + for i := 0; i < b.N; i++ { + z.FromBytes(k[:]) + } + }) +} diff --git a/src/circl/ecc/goldilocks/twist.go b/src/circl/ecc/goldilocks/twist.go new file mode 100644 index 00000000000..e5b6ee0c42b --- /dev/null +++ b/src/circl/ecc/goldilocks/twist.go @@ -0,0 +1,138 @@ +package goldilocks + +import ( + "crypto/subtle" + "math/bits" + + "circl/internal/conv" + "circl/math" + fp "circl/math/fp448" +) + +// twistCurve is -x^2+y^2=1-39082x^2y^2 and is 4-isogeneous to Goldilocks. +type twistCurve struct{} + +// Identity returns the identity point. +func (twistCurve) Identity() *twistPoint { + return &twistPoint{ + y: fp.One(), + z: fp.One(), + } +} + +// subYDiv16 update x = (x - y) / 16. +func subYDiv16(x *scalar64, y int64) { + s := uint64(y >> 63) + x0, b0 := bits.Sub64((*x)[0], uint64(y), 0) + x1, b1 := bits.Sub64((*x)[1], s, b0) + x2, b2 := bits.Sub64((*x)[2], s, b1) + x3, b3 := bits.Sub64((*x)[3], s, b2) + x4, b4 := bits.Sub64((*x)[4], s, b3) + x5, b5 := bits.Sub64((*x)[5], s, b4) + x6, _ := bits.Sub64((*x)[6], s, b5) + x[0] = (x0 >> 4) | (x1 << 60) + x[1] = (x1 >> 4) | (x2 << 60) + x[2] = (x2 >> 4) | (x3 << 60) + x[3] = (x3 >> 4) | (x4 << 60) + x[4] = (x4 >> 4) | (x5 << 60) + x[5] = (x5 >> 4) | (x6 << 60) + x[6] = (x6 >> 4) +} + +func recodeScalar(d *[113]int8, k *Scalar) { + var k64 scalar64 + k64.fromScalar(k) + for i := 0; i < 112; i++ { + d[i] = int8((k64[0] & 0x1f) - 16) + subYDiv16(&k64, int64(d[i])) + } + d[112] = int8(k64[0]) +} + +// ScalarMult returns kP. +func (e twistCurve) ScalarMult(k *Scalar, P *twistPoint) *twistPoint { + var TabP [8]preTwistPointProy + var S preTwistPointProy + var d [113]int8 + + var isZero int + if k.IsZero() { + isZero = 1 + } + subtle.ConstantTimeCopy(isZero, k[:], order[:]) + + minusK := *k + isEven := 1 - int(k[0]&0x1) + minusK.Neg() + subtle.ConstantTimeCopy(isEven, k[:], minusK[:]) + recodeScalar(&d, k) + + P.oddMultiples(TabP[:]) + Q := e.Identity() + for i := 112; i >= 0; i-- { + Q.Double() + Q.Double() + Q.Double() + Q.Double() + mask := d[i] >> 7 + absDi := (d[i] + mask) ^ mask + inx := int32((absDi - 1) >> 1) + sig := int((d[i] >> 7) & 0x1) + for j := range TabP { + S.cmov(&TabP[j], uint(subtle.ConstantTimeEq(inx, int32(j)))) + } + S.cneg(sig) + Q.mixAdd(&S) + } + Q.cneg(uint(isEven)) + return Q +} + +const ( + omegaFix = 7 + omegaVar = 5 +) + +// CombinedMult returns mG+nP. +func (e twistCurve) CombinedMult(m, n *Scalar, P *twistPoint) *twistPoint { + nafFix := math.OmegaNAF(conv.BytesLe2BigInt(m[:]), omegaFix) + nafVar := math.OmegaNAF(conv.BytesLe2BigInt(n[:]), omegaVar) + + if len(nafFix) > len(nafVar) { + nafVar = append(nafVar, make([]int32, len(nafFix)-len(nafVar))...) + } else if len(nafFix) < len(nafVar) { + nafFix = append(nafFix, make([]int32, len(nafVar)-len(nafFix))...) + } + + var TabQ [1 << (omegaVar - 2)]preTwistPointProy + P.oddMultiples(TabQ[:]) + Q := e.Identity() + for i := len(nafFix) - 1; i >= 0; i-- { + Q.Double() + // Generator point + if nafFix[i] != 0 { + idxM := absolute(nafFix[i]) >> 1 + R := tabVerif[idxM] + if nafFix[i] < 0 { + R.neg() + } + Q.mixAddZ1(&R) + } + // Variable input point + if nafVar[i] != 0 { + idxN := absolute(nafVar[i]) >> 1 + S := TabQ[idxN] + if nafVar[i] < 0 { + S.neg() + } + Q.mixAdd(&S) + } + } + return Q +} + +// absolute returns always a positive value. +func absolute(x int32) int32 { + mask := x >> 31 + return (x + mask) ^ mask +} diff --git a/src/circl/ecc/goldilocks/twistPoint.go b/src/circl/ecc/goldilocks/twistPoint.go new file mode 100644 index 00000000000..9bf1aa40b31 --- /dev/null +++ b/src/circl/ecc/goldilocks/twistPoint.go @@ -0,0 +1,135 @@ +package goldilocks + +import ( + "fmt" + + fp "circl/math/fp448" +) + +type twistPoint struct{ x, y, z, ta, tb fp.Elt } + +type preTwistPointAffine struct{ addYX, subYX, dt2 fp.Elt } + +type preTwistPointProy struct { + preTwistPointAffine + z2 fp.Elt +} + +func (P *twistPoint) String() string { + return fmt.Sprintf("x: %v\ny: %v\nz: %v\nta: %v\ntb: %v", P.x, P.y, P.z, P.ta, P.tb) +} + +// cneg conditionally negates the point if b=1. +func (P *twistPoint) cneg(b uint) { + t := &fp.Elt{} + fp.Neg(t, &P.x) + fp.Cmov(&P.x, t, b) + fp.Neg(t, &P.ta) + fp.Cmov(&P.ta, t, b) +} + +// Double updates P with 2P. +func (P *twistPoint) Double() { + // This is formula (7) from "Twisted Edwards Curves Revisited" by + // Hisil H., Wong K.KH., Carter G., Dawson E. (2008) + // https://doi.org/10.1007/978-3-540-89255-7_20 + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + a, b, c, e, f, g, h := Px, Py, Pz, Pta, Px, Py, Ptb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + fp.Add(h, a, b) // H = A+B + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, h) // E = (x+y)^2-A-B + fp.Sub(g, b, a) // G = B-A + fp.Sub(f, c, g) // F = C-G + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +// mixAdd calculates P= P+Q, where Q is a precomputed point with Z_Q = 1. +func (P *twistPoint) mixAddZ1(Q *preTwistPointAffine) { + fp.Add(&P.z, &P.z, &P.z) // D = 2*z1 (z2=1) + P.coreAddition(Q) +} + +// coreAddition calculates P=P+Q for curves with A=-1. +func (P *twistPoint) coreAddition(Q *preTwistPointAffine) { + // This is the formula following (5) from "Twisted Edwards Curves Revisited" by + // Hisil H., Wong K.KH., Carter G., Dawson E. (2008) + // https://doi.org/10.1007/978-3-540-89255-7_20 + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + addYX2, subYX2, dt2 := &Q.addYX, &Q.subYX, &Q.dt2 + a, b, c, d, e, f, g, h := Px, Py, &fp.Elt{}, Pz, Pta, Px, Py, Ptb + fp.Mul(c, Pta, Ptb) // t1 = ta*tb + fp.Sub(h, Py, Px) // y1-x1 + fp.Add(b, Py, Px) // y1+x1 + fp.Mul(a, h, subYX2) // A = (y1-x1)*(y2-x2) + fp.Mul(b, b, addYX2) // B = (y1+x1)*(y2+x2) + fp.Mul(c, c, dt2) // C = 2*D*t1*t2 + fp.Sub(e, b, a) // E = B-A + fp.Add(h, b, a) // H = B+A + fp.Sub(f, d, c) // F = D-C + fp.Add(g, d, c) // G = D+C + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +func (P *preTwistPointAffine) neg() { + P.addYX, P.subYX = P.subYX, P.addYX + fp.Neg(&P.dt2, &P.dt2) +} + +func (P *preTwistPointAffine) cneg(b int) { + t := &fp.Elt{} + fp.Cswap(&P.addYX, &P.subYX, uint(b)) + fp.Neg(t, &P.dt2) + fp.Cmov(&P.dt2, t, uint(b)) +} + +func (P *preTwistPointAffine) cmov(Q *preTwistPointAffine, b uint) { + fp.Cmov(&P.addYX, &Q.addYX, b) + fp.Cmov(&P.subYX, &Q.subYX, b) + fp.Cmov(&P.dt2, &Q.dt2, b) +} + +// mixAdd calculates P= P+Q, where Q is a precomputed point with Z_Q != 1. +func (P *twistPoint) mixAdd(Q *preTwistPointProy) { + fp.Mul(&P.z, &P.z, &Q.z2) // D = 2*z1*z2 + P.coreAddition(&Q.preTwistPointAffine) +} + +// oddMultiples calculates T[i] = (2*i-1)P for 0 < i < len(T). +func (P *twistPoint) oddMultiples(T []preTwistPointProy) { + if n := len(T); n > 0 { + T[0].FromTwistPoint(P) + _2P := *P + _2P.Double() + R := &preTwistPointProy{} + R.FromTwistPoint(&_2P) + for i := 1; i < n; i++ { + P.mixAdd(R) + T[i].FromTwistPoint(P) + } + } +} + +// cmov conditionally moves Q into P if b=1. +func (P *preTwistPointProy) cmov(Q *preTwistPointProy, b uint) { + P.preTwistPointAffine.cmov(&Q.preTwistPointAffine, b) + fp.Cmov(&P.z2, &Q.z2, b) +} + +// FromTwistPoint precomputes some coordinates of Q for missed addition. +func (P *preTwistPointProy) FromTwistPoint(Q *twistPoint) { + fp.Add(&P.addYX, &Q.y, &Q.x) // addYX = X + Y + fp.Sub(&P.subYX, &Q.y, &Q.x) // subYX = Y - X + fp.Mul(&P.dt2, &Q.ta, &Q.tb) // T = ta*tb + fp.Mul(&P.dt2, &P.dt2, ¶mDTwist) // D*T + fp.Add(&P.dt2, &P.dt2, &P.dt2) // dt2 = 2*D*T + fp.Add(&P.z2, &Q.z, &Q.z) // z2 = 2*Z +} diff --git a/src/circl/ecc/goldilocks/twistTables.go b/src/circl/ecc/goldilocks/twistTables.go new file mode 100644 index 00000000000..d5a4df8b974 --- /dev/null +++ b/src/circl/ecc/goldilocks/twistTables.go @@ -0,0 +1,216 @@ +package goldilocks + +import fp "circl/math/fp448" + +var tabFixMult = [fxV][fx2w1]preTwistPointAffine{ + { + { + addYX: fp.Elt{0x65, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2b, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + subYX: fp.Elt{0x64, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2d, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + dt2: fp.Elt{0x1a, 0x33, 0xea, 0x64, 0x45, 0x1c, 0xdf, 0x17, 0x1d, 0x16, 0x34, 0x28, 0xd6, 0x61, 0x19, 0x67, 0x79, 0xb4, 0x13, 0xcf, 0x3e, 0x7c, 0x0e, 0x72, 0xda, 0xf1, 0x5f, 0xda, 0xe6, 0xcf, 0x42, 0xd3, 0xb6, 0x17, 0xc2, 0x68, 0x13, 0x2d, 0xd9, 0x60, 0x3e, 0xae, 0xf0, 0x5b, 0x96, 0xf0, 0xcd, 0xaf, 0xea, 0xb7, 0x0d, 0x59, 0x16, 0xa7, 0xff, 0x55}, + }, + { + addYX: fp.Elt{0xca, 0xd8, 0x7d, 0x86, 0x1a, 0xef, 0xad, 0x11, 0xe3, 0x27, 0x41, 0x7e, 0x7f, 0x3e, 0xa9, 0xd2, 0xb5, 0x4e, 0x50, 0xe0, 0x77, 0x91, 0xc2, 0x13, 0x52, 0x73, 0x41, 0x09, 0xa6, 0x57, 0x9a, 0xc8, 0xa8, 0x90, 0x9d, 0x26, 0x14, 0xbb, 0xa1, 0x2a, 0xf7, 0x45, 0x43, 0x4e, 0xea, 0x35, 0x62, 0xe1, 0x08, 0x85, 0x46, 0xb8, 0x24, 0x05, 0x2d, 0xab}, + subYX: fp.Elt{0x9b, 0xe6, 0xd3, 0xe5, 0xfe, 0x50, 0x36, 0x3c, 0x3c, 0x6d, 0x74, 0x1d, 0x74, 0xc0, 0xde, 0x5b, 0x45, 0x27, 0xe5, 0x12, 0xee, 0x63, 0x35, 0x6b, 0x13, 0xe2, 0x41, 0x6b, 0x3a, 0x05, 0x2b, 0xb1, 0x89, 0x26, 0xb6, 0xc6, 0xd1, 0x84, 0xff, 0x0e, 0x9b, 0xa3, 0xfb, 0x21, 0x36, 0x6b, 0x01, 0xf7, 0x9f, 0x7c, 0xeb, 0xf5, 0x18, 0x7a, 0x2a, 0x70}, + dt2: fp.Elt{0x09, 0xad, 0x99, 0x1a, 0x38, 0xd3, 0xdf, 0x22, 0x37, 0x32, 0x61, 0x8b, 0xf3, 0x19, 0x48, 0x08, 0xe8, 0x49, 0xb6, 0x4a, 0xa7, 0xed, 0xa4, 0xa2, 0xee, 0x86, 0xd7, 0x31, 0x5e, 0xce, 0x95, 0x76, 0x86, 0x42, 0x1c, 0x9d, 0x07, 0x14, 0x8c, 0x34, 0x18, 0x9c, 0x6d, 0x3a, 0xdf, 0xa9, 0xe8, 0x36, 0x7e, 0xe4, 0x95, 0xbe, 0xb5, 0x09, 0xf8, 0x9c}, + }, + { + addYX: fp.Elt{0x51, 0xdb, 0x49, 0xa8, 0x9f, 0xe3, 0xd7, 0xec, 0x0d, 0x0f, 0x49, 0xe8, 0xb6, 0xc5, 0x0f, 0x5a, 0x1c, 0xce, 0x54, 0x0d, 0xb1, 0x8d, 0x5b, 0xbf, 0xf4, 0xaa, 0x34, 0x77, 0xc4, 0x5d, 0x59, 0xb6, 0xc5, 0x0e, 0x5a, 0xd8, 0x5b, 0x30, 0xc2, 0x1d, 0xec, 0x85, 0x1c, 0x42, 0xbe, 0x24, 0x2e, 0x50, 0x55, 0x44, 0xb2, 0x3a, 0x01, 0xaa, 0x98, 0xfb}, + subYX: fp.Elt{0xe7, 0x29, 0xb7, 0xd0, 0xaa, 0x4f, 0x32, 0x53, 0x56, 0xde, 0xbc, 0xd1, 0x92, 0x5d, 0x19, 0xbe, 0xa3, 0xe3, 0x75, 0x48, 0xe0, 0x7a, 0x1b, 0x54, 0x7a, 0xb7, 0x41, 0x77, 0x84, 0x38, 0xdd, 0x14, 0x9f, 0xca, 0x3f, 0xa3, 0xc8, 0xa7, 0x04, 0x70, 0xf1, 0x4d, 0x3d, 0xb3, 0x84, 0x79, 0xcb, 0xdb, 0xe4, 0xc5, 0x42, 0x9b, 0x57, 0x19, 0xf1, 0x2d}, + dt2: fp.Elt{0x20, 0xb4, 0x94, 0x9e, 0xdf, 0x31, 0x44, 0x0b, 0xc9, 0x7b, 0x75, 0x40, 0x9d, 0xd1, 0x96, 0x39, 0x70, 0x71, 0x15, 0xc8, 0x93, 0xd5, 0xc5, 0xe5, 0xba, 0xfe, 0xee, 0x08, 0x6a, 0x98, 0x0a, 0x1b, 0xb2, 0xaa, 0x3a, 0xf4, 0xa4, 0x79, 0xf9, 0x8e, 0x4d, 0x65, 0x10, 0x9b, 0x3a, 0x6e, 0x7c, 0x87, 0x94, 0x92, 0x11, 0x65, 0xbf, 0x1a, 0x09, 0xde}, + }, + { + addYX: fp.Elt{0xf3, 0x84, 0x76, 0x77, 0xa5, 0x6b, 0x27, 0x3b, 0x83, 0x3d, 0xdf, 0xa0, 0xeb, 0x32, 0x6d, 0x58, 0x81, 0x57, 0x64, 0xc2, 0x21, 0x7c, 0x9b, 0xea, 0xe6, 0xb0, 0x93, 0xf9, 0xe7, 0xc3, 0xed, 0x5a, 0x8e, 0xe2, 0xb4, 0x72, 0x76, 0x66, 0x0f, 0x22, 0x29, 0x94, 0x3e, 0x63, 0x48, 0x5e, 0x80, 0xcb, 0xac, 0xfa, 0x95, 0xb6, 0x4b, 0xc4, 0x95, 0x33}, + subYX: fp.Elt{0x0c, 0x55, 0xd1, 0x5e, 0x5f, 0xbf, 0xbf, 0xe2, 0x4c, 0xfc, 0x37, 0x4a, 0xc4, 0xb1, 0xf4, 0x83, 0x61, 0x93, 0x60, 0x8e, 0x9f, 0x31, 0xf0, 0xa0, 0x41, 0xff, 0x1d, 0xe2, 0x7f, 0xca, 0x40, 0xd6, 0x88, 0xe8, 0x91, 0x61, 0xe2, 0x11, 0x18, 0x83, 0xf3, 0x25, 0x2f, 0x3f, 0x49, 0x40, 0xd4, 0x83, 0xe2, 0xd7, 0x74, 0x6a, 0x16, 0x86, 0x4e, 0xab}, + dt2: fp.Elt{0xdd, 0x58, 0x65, 0xd8, 0x9f, 0xdd, 0x70, 0x7f, 0x0f, 0xec, 0xbd, 0x5c, 0x5c, 0x9b, 0x7e, 0x1b, 0x9f, 0x79, 0x36, 0x1f, 0xfd, 0x79, 0x10, 0x1c, 0x52, 0xf3, 0x22, 0xa4, 0x1f, 0x71, 0x6e, 0x63, 0x14, 0xf4, 0xa7, 0x3e, 0xbe, 0xad, 0x43, 0x30, 0x38, 0x8c, 0x29, 0xc6, 0xcf, 0x50, 0x75, 0x21, 0xe5, 0x78, 0xfd, 0xb0, 0x9a, 0xc4, 0x6d, 0xd4}, + }, + }, + { + { + addYX: fp.Elt{0x7a, 0xa1, 0x38, 0xa6, 0xfd, 0x0e, 0x96, 0xd5, 0x26, 0x76, 0x86, 0x70, 0x80, 0x30, 0xa6, 0x67, 0xeb, 0xf4, 0x39, 0xdb, 0x22, 0xf5, 0x9f, 0x98, 0xe4, 0xb5, 0x3a, 0x0c, 0x59, 0xbf, 0x85, 0xc6, 0xf0, 0x0b, 0x1c, 0x41, 0x38, 0x09, 0x01, 0xdb, 0xd6, 0x3c, 0xb7, 0xf1, 0x08, 0x6b, 0x4b, 0x9e, 0x63, 0x53, 0x83, 0xd3, 0xab, 0xa3, 0x72, 0x0d}, + subYX: fp.Elt{0x84, 0x68, 0x25, 0xe8, 0xe9, 0x8f, 0x91, 0xbf, 0xf7, 0xa4, 0x30, 0xae, 0xea, 0x9f, 0xdd, 0x56, 0x64, 0x09, 0xc9, 0x54, 0x68, 0x4e, 0x33, 0xc5, 0x6f, 0x7b, 0x2d, 0x52, 0x2e, 0x42, 0xbe, 0xbe, 0xf5, 0x64, 0xbf, 0x77, 0x54, 0xdf, 0xb0, 0x10, 0xd2, 0x16, 0x5d, 0xce, 0xaf, 0x9f, 0xfb, 0xa3, 0x63, 0x50, 0xcb, 0xc0, 0xd0, 0x88, 0x44, 0xa3}, + dt2: fp.Elt{0xc3, 0x8b, 0xa5, 0xf1, 0x44, 0xe4, 0x41, 0xcd, 0x75, 0xe3, 0x17, 0x69, 0x5b, 0xb9, 0xbb, 0xee, 0x82, 0xbb, 0xce, 0x57, 0xdf, 0x2a, 0x9c, 0x12, 0xab, 0x66, 0x08, 0x68, 0x05, 0x1b, 0x87, 0xee, 0x5d, 0x1e, 0x18, 0x14, 0x22, 0x4b, 0x99, 0x61, 0x75, 0x28, 0xe7, 0x65, 0x1c, 0x36, 0xb6, 0x18, 0x09, 0xa8, 0xdf, 0xef, 0x30, 0x35, 0xbc, 0x58}, + }, + { + addYX: fp.Elt{0xc5, 0xd3, 0x0e, 0x6f, 0xaf, 0x06, 0x69, 0xc4, 0x07, 0x9e, 0x58, 0x6e, 0x3f, 0x49, 0xd9, 0x0a, 0x3c, 0x2c, 0x37, 0xcd, 0x27, 0x4d, 0x87, 0x91, 0x7a, 0xb0, 0x28, 0xad, 0x2f, 0x68, 0x92, 0x05, 0x97, 0xf1, 0x30, 0x5f, 0x4c, 0x10, 0x20, 0x30, 0xd3, 0x08, 0x3f, 0xc1, 0xc6, 0xb7, 0xb5, 0xd1, 0x71, 0x7b, 0xa8, 0x0a, 0xd8, 0xf5, 0x17, 0xcf}, + subYX: fp.Elt{0x64, 0xd4, 0x8f, 0x91, 0x40, 0xab, 0x6e, 0x1a, 0x62, 0x83, 0xdc, 0xd7, 0x30, 0x1a, 0x4a, 0x2a, 0x4c, 0x54, 0x86, 0x19, 0x81, 0x5d, 0x04, 0x52, 0xa3, 0xca, 0x82, 0x38, 0xdc, 0x1e, 0xf0, 0x7a, 0x78, 0x76, 0x49, 0x4f, 0x71, 0xc4, 0x74, 0x2f, 0xf0, 0x5b, 0x2e, 0x5e, 0xac, 0xef, 0x17, 0xe4, 0x8e, 0x6e, 0xed, 0x43, 0x23, 0x61, 0x99, 0x49}, + dt2: fp.Elt{0x64, 0x90, 0x72, 0x76, 0xf8, 0x2c, 0x7d, 0x57, 0xf9, 0x30, 0x5e, 0x7a, 0x10, 0x74, 0x19, 0x39, 0xd9, 0xaf, 0x0a, 0xf1, 0x43, 0xed, 0x88, 0x9c, 0x8b, 0xdc, 0x9b, 0x1c, 0x90, 0xe7, 0xf7, 0xa3, 0xa5, 0x0d, 0xc6, 0xbc, 0x30, 0xfb, 0x91, 0x1a, 0x51, 0xba, 0x2d, 0xbe, 0x89, 0xdf, 0x1d, 0xdc, 0x53, 0xa8, 0x82, 0x8a, 0xd3, 0x8d, 0x16, 0x68}, + }, + { + addYX: fp.Elt{0xef, 0x5c, 0xe3, 0x74, 0xbf, 0x13, 0x4a, 0xbf, 0x66, 0x73, 0x64, 0xb7, 0xd4, 0xce, 0x98, 0x82, 0x05, 0xfa, 0x98, 0x0c, 0x0a, 0xae, 0xe5, 0x6b, 0x9f, 0xac, 0xbb, 0x6e, 0x1f, 0xcf, 0xff, 0xa6, 0x71, 0x9a, 0xa8, 0x7a, 0x9e, 0x64, 0x1f, 0x20, 0x4a, 0x61, 0xa2, 0xd6, 0x50, 0xe3, 0xba, 0x81, 0x0c, 0x50, 0x59, 0x69, 0x59, 0x15, 0x55, 0xdb}, + subYX: fp.Elt{0xe8, 0x77, 0x4d, 0xe8, 0x66, 0x3d, 0xc1, 0x00, 0x3c, 0xf2, 0x25, 0x00, 0xdc, 0xb2, 0xe5, 0x9b, 0x12, 0x89, 0xf3, 0xd6, 0xea, 0x85, 0x60, 0xfe, 0x67, 0x91, 0xfd, 0x04, 0x7c, 0xe0, 0xf1, 0x86, 0x06, 0x11, 0x66, 0xee, 0xd4, 0xd5, 0xbe, 0x3b, 0x0f, 0xe3, 0x59, 0xb3, 0x4f, 0x00, 0xb6, 0xce, 0x80, 0xc1, 0x61, 0xf7, 0xaf, 0x04, 0x6a, 0x3c}, + dt2: fp.Elt{0x00, 0xd7, 0x32, 0x93, 0x67, 0x70, 0x6f, 0xd7, 0x69, 0xab, 0xb1, 0xd3, 0xdc, 0xd6, 0xa8, 0xdd, 0x35, 0x25, 0xca, 0xd3, 0x8a, 0x6d, 0xce, 0xfb, 0xfd, 0x2b, 0x83, 0xf0, 0xd4, 0xac, 0x66, 0xfb, 0x72, 0x87, 0x7e, 0x55, 0xb7, 0x91, 0x58, 0x10, 0xc3, 0x11, 0x7e, 0x15, 0xfe, 0x7c, 0x55, 0x90, 0xa3, 0x9e, 0xed, 0x9a, 0x7f, 0xa7, 0xb7, 0xeb}, + }, + { + addYX: fp.Elt{0x25, 0x0f, 0xc2, 0x09, 0x9c, 0x10, 0xc8, 0x7c, 0x93, 0xa7, 0xbe, 0xe9, 0x26, 0x25, 0x7c, 0x21, 0xfe, 0xe7, 0x5f, 0x3c, 0x02, 0x83, 0xa7, 0x9e, 0xdf, 0xc0, 0x94, 0x2b, 0x7d, 0x1a, 0xd0, 0x1d, 0xcc, 0x2e, 0x7d, 0xd4, 0x85, 0xe7, 0xc1, 0x15, 0x66, 0xd6, 0xd6, 0x32, 0xb8, 0xf7, 0x63, 0xaa, 0x3b, 0xa5, 0xea, 0x49, 0xad, 0x88, 0x9b, 0x66}, + subYX: fp.Elt{0x09, 0x97, 0x79, 0x36, 0x41, 0x56, 0x9b, 0xdf, 0x15, 0xd8, 0x43, 0x28, 0x17, 0x5b, 0x96, 0xc9, 0xcf, 0x39, 0x1f, 0x13, 0xf7, 0x4d, 0x1d, 0x1f, 0xda, 0x51, 0x56, 0xe7, 0x0a, 0x5a, 0x65, 0xb6, 0x2a, 0x87, 0x49, 0x86, 0xc2, 0x2b, 0xcd, 0xfe, 0x07, 0xf6, 0x4c, 0xe2, 0x1d, 0x9b, 0xd8, 0x82, 0x09, 0x5b, 0x11, 0x10, 0x62, 0x56, 0x89, 0xbd}, + dt2: fp.Elt{0xd9, 0x15, 0x73, 0xf2, 0x96, 0x35, 0x53, 0xb0, 0xe7, 0xa8, 0x0b, 0x93, 0x35, 0x0b, 0x3a, 0x00, 0xf5, 0x18, 0xb1, 0xc3, 0x12, 0x3f, 0x91, 0x17, 0xc1, 0x4c, 0x15, 0x5a, 0x86, 0x92, 0x11, 0xbd, 0x44, 0x40, 0x5a, 0x7b, 0x15, 0x89, 0xba, 0xc1, 0xc1, 0xbc, 0x43, 0x45, 0xe6, 0x52, 0x02, 0x73, 0x0a, 0xd0, 0x2a, 0x19, 0xda, 0x47, 0xa8, 0xff}, + }, + }, +} + +// tabVerif contains the odd multiples of P. The entry T[i] = (2i+1)P, where +// P = phi(G) and G is the generator of the Goldilocks curve, and phi is a +// 4-degree isogeny. +var tabVerif = [1 << (omegaFix - 2)]preTwistPointAffine{ + { /* 1P*/ + addYX: fp.Elt{0x65, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2b, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + subYX: fp.Elt{0x64, 0x4a, 0xdd, 0xdf, 0xb4, 0x79, 0x60, 0xc8, 0xa1, 0x70, 0xb4, 0x3a, 0x1e, 0x0c, 0x9b, 0x19, 0xe5, 0x48, 0x3f, 0xd7, 0x44, 0x18, 0x18, 0x14, 0x14, 0x27, 0x45, 0xd0, 0x2d, 0x24, 0xd5, 0x93, 0xc3, 0x74, 0x4c, 0x50, 0x70, 0x43, 0x26, 0x05, 0x08, 0x24, 0xca, 0x78, 0x30, 0xc1, 0x06, 0x8d, 0xd4, 0x86, 0x42, 0xf0, 0x14, 0xde, 0x08, 0x05}, + dt2: fp.Elt{0x1a, 0x33, 0xea, 0x64, 0x45, 0x1c, 0xdf, 0x17, 0x1d, 0x16, 0x34, 0x28, 0xd6, 0x61, 0x19, 0x67, 0x79, 0xb4, 0x13, 0xcf, 0x3e, 0x7c, 0x0e, 0x72, 0xda, 0xf1, 0x5f, 0xda, 0xe6, 0xcf, 0x42, 0xd3, 0xb6, 0x17, 0xc2, 0x68, 0x13, 0x2d, 0xd9, 0x60, 0x3e, 0xae, 0xf0, 0x5b, 0x96, 0xf0, 0xcd, 0xaf, 0xea, 0xb7, 0x0d, 0x59, 0x16, 0xa7, 0xff, 0x55}, + }, + { /* 3P*/ + addYX: fp.Elt{0xd1, 0xe9, 0xa8, 0x33, 0x20, 0x76, 0x18, 0x08, 0x45, 0x2a, 0xc9, 0x67, 0x2a, 0xc3, 0x15, 0x24, 0xf9, 0x74, 0x21, 0x30, 0x99, 0x59, 0x8b, 0xb2, 0xf0, 0xa4, 0x07, 0xe2, 0x6a, 0x36, 0x8d, 0xd9, 0xd2, 0x4a, 0x7f, 0x73, 0x50, 0x39, 0x3d, 0xaa, 0xa7, 0x51, 0x73, 0x0d, 0x2b, 0x8b, 0x96, 0x47, 0xac, 0x3c, 0x5d, 0xaa, 0x39, 0x9c, 0xcf, 0xd5}, + subYX: fp.Elt{0x6b, 0x11, 0x5d, 0x1a, 0xf9, 0x41, 0x9d, 0xc5, 0x30, 0x3e, 0xad, 0x25, 0x2c, 0x04, 0x45, 0xea, 0xcc, 0x67, 0x07, 0x85, 0xe9, 0xda, 0x0e, 0xb5, 0x40, 0xb7, 0x32, 0xb4, 0x49, 0xdd, 0xff, 0xaa, 0xfc, 0xbb, 0x19, 0xca, 0x8b, 0x79, 0x2b, 0x8f, 0x8d, 0x00, 0x33, 0xc2, 0xad, 0xe9, 0xd3, 0x12, 0xa8, 0xaa, 0x87, 0x62, 0xad, 0x2d, 0xff, 0xa4}, + dt2: fp.Elt{0xb0, 0xaf, 0x3b, 0xea, 0xf0, 0x42, 0x0b, 0x5e, 0x88, 0xd3, 0x98, 0x08, 0x87, 0x59, 0x72, 0x0a, 0xc2, 0xdf, 0xcb, 0x7f, 0x59, 0xb5, 0x4c, 0x63, 0x68, 0xe8, 0x41, 0x38, 0x67, 0x4f, 0xe9, 0xc6, 0xb2, 0x6b, 0x08, 0xa7, 0xf7, 0x0e, 0xcd, 0xea, 0xca, 0x3d, 0xaf, 0x8e, 0xda, 0x4b, 0x2e, 0xd2, 0x88, 0x64, 0x8d, 0xc5, 0x5f, 0x76, 0x0f, 0x3d}, + }, + { /* 5P*/ + addYX: fp.Elt{0xe5, 0x65, 0xc9, 0xe2, 0x75, 0xf0, 0x7d, 0x1a, 0xba, 0xa4, 0x40, 0x4b, 0x93, 0x12, 0xa2, 0x80, 0x95, 0x0d, 0x03, 0x93, 0xe8, 0xa5, 0x4d, 0xe2, 0x3d, 0x81, 0xf5, 0xce, 0xd4, 0x2d, 0x25, 0x59, 0x16, 0x5c, 0xe7, 0xda, 0xc7, 0x45, 0xd2, 0x7e, 0x2c, 0x38, 0xd4, 0x37, 0x64, 0xb2, 0xc2, 0x28, 0xc5, 0x72, 0x16, 0x32, 0x45, 0x36, 0x6f, 0x9f}, + subYX: fp.Elt{0x09, 0xf4, 0x7e, 0xbd, 0x89, 0xdb, 0x19, 0x58, 0xe1, 0x08, 0x00, 0x8a, 0xf4, 0x5f, 0x2a, 0x32, 0x40, 0xf0, 0x2c, 0x3f, 0x5d, 0xe4, 0xfc, 0x89, 0x11, 0x24, 0xb4, 0x2f, 0x97, 0xad, 0xac, 0x8f, 0x19, 0xab, 0xfa, 0x12, 0xe5, 0xf9, 0x50, 0x4e, 0x50, 0x6f, 0x32, 0x30, 0x88, 0xa6, 0xe5, 0x48, 0x28, 0xa2, 0x1b, 0x9f, 0xcd, 0xe2, 0x43, 0x38}, + dt2: fp.Elt{0xa9, 0xcc, 0x53, 0x39, 0x86, 0x02, 0x60, 0x75, 0x34, 0x99, 0x57, 0xbd, 0xfc, 0x5a, 0x8e, 0xce, 0x5e, 0x98, 0x22, 0xd0, 0xa5, 0x24, 0xff, 0x90, 0x28, 0x9f, 0x58, 0xf3, 0x39, 0xe9, 0xba, 0x36, 0x23, 0xfb, 0x7f, 0x41, 0xcc, 0x2b, 0x5a, 0x25, 0x3f, 0x4c, 0x2a, 0xf1, 0x52, 0x6f, 0x2f, 0x07, 0xe3, 0x88, 0x81, 0x77, 0xdd, 0x7c, 0x88, 0x82}, + }, + { /* 7P*/ + addYX: fp.Elt{0xf7, 0xee, 0x88, 0xfd, 0x3a, 0xbf, 0x7e, 0x28, 0x39, 0x23, 0x79, 0xe6, 0x5c, 0x56, 0xcb, 0xb5, 0x48, 0x6a, 0x80, 0x6d, 0x37, 0x60, 0x6c, 0x10, 0x35, 0x49, 0x4b, 0x46, 0x60, 0xd4, 0x79, 0xd4, 0x53, 0xd3, 0x67, 0x88, 0xd0, 0x41, 0xd5, 0x43, 0x85, 0xc8, 0x71, 0xe3, 0x1c, 0xb6, 0xda, 0x22, 0x64, 0x8f, 0x80, 0xac, 0xad, 0x7d, 0xd5, 0x82}, + subYX: fp.Elt{0x92, 0x40, 0xc1, 0x83, 0x21, 0x9b, 0xd5, 0x7d, 0x3f, 0x29, 0xb6, 0x26, 0xef, 0x12, 0xb9, 0x27, 0x39, 0x42, 0x37, 0x97, 0x09, 0x9a, 0x08, 0xe1, 0x68, 0xb6, 0x7a, 0x3f, 0x9f, 0x45, 0xf8, 0x37, 0x19, 0x83, 0x97, 0xe6, 0x73, 0x30, 0x32, 0x35, 0xcf, 0xae, 0x5c, 0x12, 0x68, 0xdf, 0x6e, 0x2b, 0xde, 0x83, 0xa0, 0x44, 0x74, 0x2e, 0x4a, 0xe9}, + dt2: fp.Elt{0xcb, 0x22, 0x0a, 0xda, 0x6b, 0xc1, 0x8a, 0x29, 0xa1, 0xac, 0x8b, 0x5b, 0x8b, 0x32, 0x20, 0xf2, 0x21, 0xae, 0x0c, 0x43, 0xc4, 0xd7, 0x19, 0x37, 0x3d, 0x79, 0x25, 0x98, 0x6c, 0x9c, 0x22, 0x31, 0x2a, 0x55, 0x9f, 0xda, 0x5e, 0xa8, 0x13, 0xdb, 0x8e, 0x2e, 0x16, 0x39, 0xf4, 0x91, 0x6f, 0xec, 0x71, 0x71, 0xc9, 0x10, 0xf2, 0xa4, 0x8f, 0x11}, + }, + { /* 9P*/ + addYX: fp.Elt{0x85, 0xdd, 0x37, 0x62, 0x74, 0x8e, 0x33, 0x5b, 0x25, 0x12, 0x1b, 0xe7, 0xdf, 0x47, 0xe5, 0x12, 0xfd, 0x3a, 0x3a, 0xf5, 0x5d, 0x4c, 0xa2, 0x29, 0x3c, 0x5c, 0x2f, 0xee, 0x18, 0x19, 0x0a, 0x2b, 0xef, 0x67, 0x50, 0x7a, 0x0d, 0x29, 0xae, 0x55, 0x82, 0xcd, 0xd6, 0x41, 0x90, 0xb4, 0x13, 0x31, 0x5d, 0x11, 0xb8, 0xaa, 0x12, 0x86, 0x08, 0xac}, + subYX: fp.Elt{0xcc, 0x37, 0x8d, 0x83, 0x5f, 0xfd, 0xde, 0xd5, 0xf7, 0xf1, 0xae, 0x0a, 0xa7, 0x0b, 0xeb, 0x6d, 0x19, 0x8a, 0xb6, 0x1a, 0x59, 0xd8, 0xff, 0x3c, 0xbc, 0xbc, 0xef, 0x9c, 0xda, 0x7b, 0x75, 0x12, 0xaf, 0x80, 0x8f, 0x2c, 0x3c, 0xaa, 0x0b, 0x17, 0x86, 0x36, 0x78, 0x18, 0xc8, 0x8a, 0xf6, 0xb8, 0x2c, 0x2f, 0x57, 0x2c, 0x62, 0x57, 0xf6, 0x90}, + dt2: fp.Elt{0x83, 0xbc, 0xa2, 0x07, 0xa5, 0x38, 0x96, 0xea, 0xfe, 0x11, 0x46, 0x1d, 0x3b, 0xcd, 0x42, 0xc5, 0xee, 0x67, 0x04, 0x72, 0x08, 0xd8, 0xd9, 0x96, 0x07, 0xf7, 0xac, 0xc3, 0x64, 0xf1, 0x98, 0x2c, 0x55, 0xd7, 0x7d, 0xc8, 0x6c, 0xbd, 0x2c, 0xff, 0x15, 0xd6, 0x6e, 0xb8, 0x17, 0x8e, 0xa8, 0x27, 0x66, 0xb1, 0x73, 0x79, 0x96, 0xff, 0x29, 0x10}, + }, + { /* 11P*/ + addYX: fp.Elt{0x76, 0xcb, 0x9b, 0x0c, 0x5b, 0xfe, 0xe1, 0x2a, 0xdd, 0x6f, 0x6c, 0xdd, 0x6f, 0xb4, 0xc0, 0xc2, 0x1b, 0x4b, 0x38, 0xe8, 0x66, 0x8c, 0x1e, 0x31, 0x63, 0xb9, 0x94, 0xcd, 0xc3, 0x8c, 0x44, 0x25, 0x7b, 0xd5, 0x39, 0x80, 0xfc, 0x01, 0xaa, 0xf7, 0x2a, 0x61, 0x8a, 0x25, 0xd2, 0x5f, 0xc5, 0x66, 0x38, 0xa4, 0x17, 0xcf, 0x3e, 0x11, 0x0f, 0xa3}, + subYX: fp.Elt{0xe0, 0xb6, 0xd1, 0x9c, 0x71, 0x49, 0x2e, 0x7b, 0xde, 0x00, 0xda, 0x6b, 0xf1, 0xec, 0xe6, 0x7a, 0x15, 0x38, 0x71, 0xe9, 0x7b, 0xdb, 0xf8, 0x98, 0xc0, 0x91, 0x2e, 0x53, 0xee, 0x92, 0x87, 0x25, 0xc9, 0xb0, 0xbb, 0x33, 0x15, 0x46, 0x7f, 0xfd, 0x4f, 0x8b, 0x77, 0x05, 0x96, 0xb6, 0xe2, 0x08, 0xdb, 0x0d, 0x09, 0xee, 0x5b, 0xd1, 0x2a, 0x63}, + dt2: fp.Elt{0x8f, 0x7b, 0x57, 0x8c, 0xbf, 0x06, 0x0d, 0x43, 0x21, 0x92, 0x94, 0x2d, 0x6a, 0x38, 0x07, 0x0f, 0xa0, 0xf1, 0xe3, 0xd8, 0x2a, 0xbf, 0x46, 0xc6, 0x9e, 0x1f, 0x8f, 0x2b, 0x46, 0x84, 0x0b, 0x74, 0xed, 0xff, 0xf8, 0xa5, 0x94, 0xae, 0xf1, 0x67, 0xb1, 0x9b, 0xdd, 0x4a, 0xd0, 0xdb, 0xc2, 0xb5, 0x58, 0x49, 0x0c, 0xa9, 0x1d, 0x7d, 0xa9, 0xd3}, + }, + { /* 13P*/ + addYX: fp.Elt{0x73, 0x84, 0x2e, 0x31, 0x1f, 0xdc, 0xed, 0x9f, 0x74, 0xfa, 0xe0, 0x35, 0xb1, 0x85, 0x6a, 0x8d, 0x86, 0xd0, 0xff, 0xd6, 0x08, 0x43, 0x73, 0x1a, 0xd5, 0xf8, 0x43, 0xd4, 0xb3, 0xe5, 0x3f, 0xa8, 0x84, 0x17, 0x59, 0x65, 0x4e, 0xe6, 0xee, 0x54, 0x9c, 0xda, 0x5e, 0x7e, 0x98, 0x29, 0x6d, 0x73, 0x34, 0x1f, 0x99, 0x80, 0x54, 0x54, 0x81, 0x0b}, + subYX: fp.Elt{0xb1, 0xe5, 0xbb, 0x80, 0x22, 0x9c, 0x81, 0x6d, 0xaf, 0x27, 0x65, 0x6f, 0x7e, 0x9c, 0xb6, 0x8d, 0x35, 0x5c, 0x2e, 0x20, 0x48, 0x7a, 0x28, 0xf0, 0x97, 0xfe, 0xb7, 0x71, 0xce, 0xd6, 0xad, 0x3a, 0x81, 0xf6, 0x74, 0x5e, 0xf3, 0xfd, 0x1b, 0xd4, 0x1e, 0x7c, 0xc2, 0xb7, 0xc8, 0xa6, 0xc9, 0x89, 0x03, 0x47, 0xec, 0x24, 0xd6, 0x0e, 0xec, 0x9c}, + dt2: fp.Elt{0x91, 0x0a, 0x43, 0x34, 0x20, 0xc2, 0x64, 0xf7, 0x4e, 0x48, 0xc8, 0xd2, 0x95, 0x83, 0xd1, 0xa4, 0xfb, 0x4e, 0x41, 0x3b, 0x0d, 0xd5, 0x07, 0xd9, 0xf1, 0x13, 0x16, 0x78, 0x54, 0x57, 0xd0, 0xf1, 0x4f, 0x20, 0xac, 0xcf, 0x9c, 0x3b, 0x33, 0x0b, 0x99, 0x54, 0xc3, 0x7f, 0x3e, 0x57, 0x26, 0x86, 0xd5, 0xa5, 0x2b, 0x8d, 0xe3, 0x19, 0x36, 0xf7}, + }, + { /* 15P*/ + addYX: fp.Elt{0x23, 0x69, 0x47, 0x14, 0xf9, 0x9a, 0x50, 0xff, 0x64, 0xd1, 0x50, 0x35, 0xc3, 0x11, 0xd3, 0x19, 0xcf, 0x87, 0xda, 0x30, 0x0b, 0x50, 0xda, 0xc0, 0xe0, 0x25, 0x00, 0xe5, 0x68, 0x93, 0x04, 0xc2, 0xaf, 0xbd, 0x2f, 0x36, 0x5f, 0x47, 0x96, 0x10, 0xa8, 0xbd, 0xe4, 0x88, 0xac, 0x80, 0x52, 0x61, 0x73, 0xe9, 0x63, 0xdd, 0x99, 0xad, 0x20, 0x5b}, + subYX: fp.Elt{0x1b, 0x5e, 0xa2, 0x2a, 0x25, 0x0f, 0x86, 0xc0, 0xb1, 0x2e, 0x0c, 0x13, 0x40, 0x8d, 0xf0, 0xe6, 0x00, 0x55, 0x08, 0xc5, 0x7d, 0xf4, 0xc9, 0x31, 0x25, 0x3a, 0x99, 0x69, 0xdd, 0x67, 0x63, 0x9a, 0xd6, 0x89, 0x2e, 0xa1, 0x19, 0xca, 0x2c, 0xd9, 0x59, 0x5f, 0x5d, 0xc3, 0x6e, 0x62, 0x36, 0x12, 0x59, 0x15, 0xe1, 0xdc, 0xa4, 0xad, 0xc9, 0xd0}, + dt2: fp.Elt{0xbc, 0xea, 0xfc, 0xaf, 0x66, 0x23, 0xb7, 0x39, 0x6b, 0x2a, 0x96, 0xa8, 0x54, 0x43, 0xe9, 0xaa, 0x32, 0x40, 0x63, 0x92, 0x5e, 0xdf, 0x35, 0xc2, 0x9f, 0x24, 0x0c, 0xed, 0xfc, 0xde, 0x73, 0x8f, 0xa7, 0xd5, 0xa3, 0x2b, 0x18, 0x1f, 0xb0, 0xf8, 0xeb, 0x55, 0xd9, 0xc3, 0xfd, 0x28, 0x7c, 0x4f, 0xce, 0x0d, 0xf7, 0xae, 0xc2, 0x83, 0xc3, 0x78}, + }, + { /* 17P*/ + addYX: fp.Elt{0x71, 0xe6, 0x60, 0x93, 0x37, 0xdb, 0x01, 0xa5, 0x4c, 0xba, 0xe8, 0x8e, 0xd5, 0xf9, 0xd3, 0x98, 0xe5, 0xeb, 0xab, 0x3a, 0x15, 0x8b, 0x35, 0x60, 0xbe, 0xe5, 0x9c, 0x2d, 0x10, 0x9b, 0x2e, 0xcf, 0x65, 0x64, 0xea, 0x8f, 0x72, 0xce, 0xf5, 0x18, 0xe5, 0xe2, 0xf0, 0x0e, 0xae, 0x04, 0xec, 0xa0, 0x20, 0x65, 0x63, 0x07, 0xb1, 0x9f, 0x03, 0x97}, + subYX: fp.Elt{0x9e, 0x41, 0x64, 0x30, 0x95, 0x7f, 0x3a, 0x89, 0x7b, 0x0a, 0x79, 0x59, 0x23, 0x9a, 0x3b, 0xfe, 0xa4, 0x13, 0x08, 0xb2, 0x2e, 0x04, 0x50, 0x10, 0x30, 0xcd, 0x2e, 0xa4, 0x91, 0x71, 0x50, 0x36, 0x4a, 0x02, 0xf4, 0x8d, 0xa3, 0x36, 0x1b, 0xf4, 0x52, 0xba, 0x15, 0x04, 0x8b, 0x80, 0x25, 0xd9, 0xae, 0x67, 0x20, 0xd9, 0x88, 0x8f, 0x97, 0xa6}, + dt2: fp.Elt{0xb5, 0xe7, 0x46, 0xbd, 0x55, 0x23, 0xa0, 0x68, 0xc0, 0x12, 0xd9, 0xf1, 0x0a, 0x75, 0xe2, 0xda, 0xf4, 0x6b, 0xca, 0x14, 0xe4, 0x9f, 0x0f, 0xb5, 0x3c, 0xa6, 0xa5, 0xa2, 0x63, 0x94, 0xd1, 0x1c, 0x39, 0x58, 0x57, 0x02, 0x27, 0x98, 0xb6, 0x47, 0xc6, 0x61, 0x4b, 0x5c, 0xab, 0x6f, 0x2d, 0xab, 0xe3, 0xc1, 0x69, 0xf9, 0x12, 0xb0, 0xc8, 0xd5}, + }, + { /* 19P*/ + addYX: fp.Elt{0x19, 0x7d, 0xd5, 0xac, 0x79, 0xa2, 0x82, 0x9b, 0x28, 0x31, 0x22, 0xc0, 0x73, 0x02, 0x76, 0x17, 0x10, 0x70, 0x79, 0x57, 0xc9, 0x84, 0x62, 0x8e, 0x04, 0x04, 0x61, 0x67, 0x08, 0x48, 0xb4, 0x4b, 0xde, 0x53, 0x8c, 0xff, 0x36, 0x1b, 0x62, 0x86, 0x5d, 0xe1, 0x9b, 0xb1, 0xe5, 0xe8, 0x44, 0x64, 0xa1, 0x68, 0x3f, 0xa8, 0x45, 0x52, 0x91, 0xed}, + subYX: fp.Elt{0x42, 0x1a, 0x36, 0x1f, 0x90, 0x15, 0x24, 0x8d, 0x24, 0x80, 0xe6, 0xfe, 0x1e, 0xf0, 0xad, 0xaf, 0x6a, 0x93, 0xf0, 0xa6, 0x0d, 0x5d, 0xea, 0xf6, 0x62, 0x96, 0x7a, 0x05, 0x76, 0x85, 0x74, 0x32, 0xc7, 0xc8, 0x64, 0x53, 0x62, 0xe7, 0x54, 0x84, 0xe0, 0x40, 0x66, 0x19, 0x70, 0x40, 0x95, 0x35, 0x68, 0x64, 0x43, 0xcd, 0xba, 0x29, 0x32, 0xa8}, + dt2: fp.Elt{0x3e, 0xf6, 0xd6, 0xe4, 0x99, 0xeb, 0x20, 0x66, 0x08, 0x2e, 0x26, 0x64, 0xd7, 0x76, 0xf3, 0xb4, 0xc5, 0xa4, 0x35, 0x92, 0xd2, 0x99, 0x70, 0x5a, 0x1a, 0xe9, 0xe9, 0x3d, 0x3b, 0xe1, 0xcd, 0x0e, 0xee, 0x24, 0x13, 0x03, 0x22, 0xd6, 0xd6, 0x72, 0x08, 0x2b, 0xde, 0xfd, 0x93, 0xed, 0x0c, 0x7f, 0x5e, 0x31, 0x22, 0x4d, 0x80, 0x78, 0xc0, 0x48}, + }, + { /* 21P*/ + addYX: fp.Elt{0x8f, 0x72, 0xd2, 0x9e, 0xc4, 0xcd, 0x2c, 0xbf, 0xa8, 0xd3, 0x24, 0x62, 0x28, 0xee, 0x39, 0x0a, 0x19, 0x3a, 0x58, 0xff, 0x21, 0x2e, 0x69, 0x6c, 0x6e, 0x18, 0xd0, 0xcd, 0x61, 0xc1, 0x18, 0x02, 0x5a, 0xe9, 0xe3, 0xef, 0x1f, 0x8e, 0x10, 0xe8, 0x90, 0x2b, 0x48, 0xcd, 0xee, 0x38, 0xbd, 0x3a, 0xca, 0xbc, 0x2d, 0xe2, 0x3a, 0x03, 0x71, 0x02}, + subYX: fp.Elt{0xf8, 0xa4, 0x32, 0x26, 0x66, 0xaf, 0x3b, 0x53, 0xe7, 0xb0, 0x91, 0x92, 0xf5, 0x3c, 0x74, 0xce, 0xf2, 0xdd, 0x68, 0xa9, 0xf4, 0xcd, 0x5f, 0x60, 0xab, 0x71, 0xdf, 0xcd, 0x5c, 0x5d, 0x51, 0x72, 0x3a, 0x96, 0xea, 0xd6, 0xde, 0x54, 0x8e, 0x55, 0x4c, 0x08, 0x4c, 0x60, 0xdd, 0x34, 0xa9, 0x6f, 0xf3, 0x04, 0x02, 0xa8, 0xa6, 0x4e, 0x4d, 0x62}, + dt2: fp.Elt{0x76, 0x4a, 0xae, 0x38, 0x62, 0x69, 0x72, 0xdc, 0xe8, 0x43, 0xbe, 0x1d, 0x61, 0xde, 0x31, 0xc3, 0x42, 0x8f, 0x33, 0x9d, 0xca, 0xc7, 0x9c, 0xec, 0x6a, 0xe2, 0xaa, 0x01, 0x49, 0x78, 0x8d, 0x72, 0x4f, 0x38, 0xea, 0x52, 0xc2, 0xd3, 0xc9, 0x39, 0x71, 0xba, 0xb9, 0x09, 0x9b, 0xa3, 0x7f, 0x45, 0x43, 0x65, 0x36, 0x29, 0xca, 0xe7, 0x5c, 0x5f}, + }, + { /* 23P*/ + addYX: fp.Elt{0x89, 0x42, 0x35, 0x48, 0x6d, 0x74, 0xe5, 0x1f, 0xc3, 0xdd, 0x28, 0x5b, 0x84, 0x41, 0x33, 0x9f, 0x42, 0xf3, 0x1d, 0x5d, 0x15, 0x6d, 0x76, 0x33, 0x36, 0xaf, 0xe9, 0xdd, 0xfa, 0x63, 0x4f, 0x7a, 0x9c, 0xeb, 0x1c, 0x4f, 0x34, 0x65, 0x07, 0x54, 0xbb, 0x4c, 0x8b, 0x62, 0x9d, 0xd0, 0x06, 0x99, 0xb3, 0xe9, 0xda, 0x85, 0x19, 0xb0, 0x3d, 0x3c}, + subYX: fp.Elt{0xbb, 0x99, 0xf6, 0xbf, 0xaf, 0x2c, 0x22, 0x0d, 0x7a, 0xaa, 0x98, 0x6f, 0x01, 0x82, 0x99, 0xcf, 0x88, 0xbd, 0x0e, 0x3a, 0x89, 0xe0, 0x9c, 0x8c, 0x17, 0x20, 0xc4, 0xe0, 0xcf, 0x43, 0x7a, 0xef, 0x0d, 0x9f, 0x87, 0xd4, 0xfb, 0xf2, 0x96, 0xb8, 0x03, 0xe8, 0xcb, 0x5c, 0xec, 0x65, 0x5f, 0x49, 0xa4, 0x7c, 0x85, 0xb4, 0xf6, 0xc7, 0xdb, 0xa3}, + dt2: fp.Elt{0x11, 0xf3, 0x32, 0xa3, 0xa7, 0xb2, 0x7d, 0x51, 0x82, 0x44, 0xeb, 0xa2, 0x7d, 0x72, 0xcb, 0xc6, 0xf6, 0xc7, 0xb2, 0x38, 0x0e, 0x0f, 0x4f, 0x29, 0x00, 0xe4, 0x5b, 0x94, 0x46, 0x86, 0x66, 0xa1, 0x83, 0xb3, 0xeb, 0x15, 0xb6, 0x31, 0x50, 0x28, 0xeb, 0xed, 0x0d, 0x32, 0x39, 0xe9, 0x23, 0x81, 0x99, 0x3e, 0xff, 0x17, 0x4c, 0x11, 0x43, 0xd1}, + }, + { /* 25P*/ + addYX: fp.Elt{0xce, 0xe7, 0xf8, 0x94, 0x8f, 0x96, 0xf8, 0x96, 0xe6, 0x72, 0x20, 0x44, 0x2c, 0xa7, 0xfc, 0xba, 0xc8, 0xe1, 0xbb, 0xc9, 0x16, 0x85, 0xcd, 0x0b, 0xe5, 0xb5, 0x5a, 0x7f, 0x51, 0x43, 0x63, 0x8b, 0x23, 0x8e, 0x1d, 0x31, 0xff, 0x46, 0x02, 0x66, 0xcc, 0x9e, 0x4d, 0xa2, 0xca, 0xe2, 0xc7, 0xfd, 0x22, 0xb1, 0xdb, 0xdf, 0x6f, 0xe6, 0xa5, 0x82}, + subYX: fp.Elt{0xd0, 0xf5, 0x65, 0x40, 0xec, 0x8e, 0x65, 0x42, 0x78, 0xc1, 0x65, 0xe4, 0x10, 0xc8, 0x0b, 0x1b, 0xdd, 0x96, 0x68, 0xce, 0xee, 0x45, 0x55, 0xd8, 0x6e, 0xd3, 0xe6, 0x77, 0x19, 0xae, 0xc2, 0x8d, 0x8d, 0x3e, 0x14, 0x3f, 0x6d, 0x00, 0x2f, 0x9b, 0xd1, 0x26, 0x60, 0x28, 0x0f, 0x3a, 0x47, 0xb3, 0xe6, 0x68, 0x28, 0x24, 0x25, 0xca, 0xc8, 0x06}, + dt2: fp.Elt{0x54, 0xbb, 0x60, 0x92, 0xdb, 0x8f, 0x0f, 0x38, 0xe0, 0xe6, 0xe4, 0xc9, 0xcc, 0x14, 0x62, 0x01, 0xc4, 0x2b, 0x0f, 0xcf, 0xed, 0x7d, 0x8e, 0xa4, 0xd9, 0x73, 0x0b, 0xba, 0x0c, 0xaf, 0x0c, 0xf9, 0xe2, 0xeb, 0x29, 0x2a, 0x53, 0xdf, 0x2c, 0x5a, 0xfa, 0x8f, 0xc1, 0x01, 0xd7, 0xb1, 0x45, 0x73, 0x92, 0x32, 0x83, 0x85, 0x12, 0x74, 0x89, 0x44}, + }, + { /* 27P*/ + addYX: fp.Elt{0x0b, 0x73, 0x3c, 0xc2, 0xb1, 0x2e, 0xe1, 0xa7, 0xf5, 0xc9, 0x7a, 0xfb, 0x3d, 0x2d, 0xac, 0x59, 0xdb, 0xfa, 0x36, 0x11, 0xd1, 0x13, 0x04, 0x51, 0x1d, 0xab, 0x9b, 0x6b, 0x93, 0xfe, 0xda, 0xb0, 0x8e, 0xb4, 0x79, 0x11, 0x21, 0x0f, 0x65, 0xb9, 0xbb, 0x79, 0x96, 0x2a, 0xfd, 0x30, 0xe0, 0xb4, 0x2d, 0x9a, 0x55, 0x25, 0x5d, 0xd4, 0xad, 0x2a}, + subYX: fp.Elt{0x9e, 0xc5, 0x04, 0xfe, 0xec, 0x3c, 0x64, 0x1c, 0xed, 0x95, 0xed, 0xae, 0xaf, 0x5c, 0x6e, 0x08, 0x9e, 0x02, 0x29, 0x59, 0x7e, 0x5f, 0xc4, 0x9a, 0xd5, 0x32, 0x72, 0x86, 0xe1, 0x4e, 0x3c, 0xce, 0x99, 0x69, 0x3b, 0xc4, 0xdd, 0x4d, 0xb7, 0xbb, 0xda, 0x3b, 0x1a, 0x99, 0xaa, 0x62, 0x15, 0xc1, 0xf0, 0xb6, 0x6c, 0xec, 0x56, 0xc1, 0xff, 0x0c}, + dt2: fp.Elt{0x2f, 0xf1, 0x3f, 0x7a, 0x2d, 0x56, 0x19, 0x7f, 0xea, 0xbe, 0x59, 0x2e, 0x13, 0x67, 0x81, 0xfb, 0xdb, 0xc8, 0xa3, 0x1d, 0xd5, 0xe9, 0x13, 0x8b, 0x29, 0xdf, 0xcf, 0x9f, 0xe7, 0xd9, 0x0b, 0x70, 0xd3, 0x15, 0x57, 0x4a, 0xe9, 0x50, 0x12, 0x1b, 0x81, 0x4b, 0x98, 0x98, 0xa8, 0x31, 0x1d, 0x27, 0x47, 0x38, 0xed, 0x57, 0x99, 0x26, 0xb2, 0xee}, + }, + { /* 29P*/ + addYX: fp.Elt{0x1c, 0xb2, 0xb2, 0x67, 0x3b, 0x8b, 0x3d, 0x5a, 0x30, 0x7e, 0x38, 0x7e, 0x3c, 0x3d, 0x28, 0x56, 0x59, 0xd8, 0x87, 0x53, 0x8b, 0xe6, 0x6c, 0x5d, 0xe5, 0x0a, 0x33, 0x10, 0xce, 0xa2, 0x17, 0x0d, 0xe8, 0x76, 0xee, 0x68, 0xa8, 0x72, 0x54, 0xbd, 0xa6, 0x24, 0x94, 0x6e, 0x77, 0xc7, 0x53, 0xb7, 0x89, 0x1c, 0x7a, 0xe9, 0x78, 0x9a, 0x74, 0x5f}, + subYX: fp.Elt{0x76, 0x96, 0x1c, 0xcf, 0x08, 0x55, 0xd8, 0x1e, 0x0d, 0xa3, 0x59, 0x95, 0x32, 0xf4, 0xc2, 0x8e, 0x84, 0x5e, 0x4b, 0x04, 0xda, 0x71, 0xc9, 0x78, 0x52, 0xde, 0x14, 0xb4, 0x31, 0xf4, 0xd4, 0xb8, 0x58, 0xc5, 0x20, 0xe8, 0xdd, 0x15, 0xb5, 0xee, 0xea, 0x61, 0xe0, 0xf5, 0xd6, 0xae, 0x55, 0x59, 0x05, 0x3e, 0xaf, 0x74, 0xac, 0x1f, 0x17, 0x82}, + dt2: fp.Elt{0x59, 0x24, 0xcd, 0xfc, 0x11, 0x7e, 0x85, 0x18, 0x3d, 0x69, 0xf7, 0x71, 0x31, 0x66, 0x98, 0x42, 0x95, 0x00, 0x8c, 0xb2, 0xae, 0x39, 0x7e, 0x85, 0xd6, 0xb0, 0x02, 0xec, 0xce, 0xfc, 0x25, 0xb2, 0xe3, 0x99, 0x8e, 0x5b, 0x61, 0x96, 0x2e, 0x6d, 0x96, 0x57, 0x71, 0xa5, 0x93, 0x41, 0x0e, 0x6f, 0xfd, 0x0a, 0xbf, 0xa9, 0xf7, 0x56, 0xa9, 0x3e}, + }, + { /* 31P*/ + addYX: fp.Elt{0xa2, 0x2e, 0x0c, 0x17, 0x4d, 0xcc, 0x85, 0x2c, 0x18, 0xa0, 0xd2, 0x08, 0xba, 0x11, 0xfa, 0x47, 0x71, 0x86, 0xaf, 0x36, 0x6a, 0xd7, 0xfe, 0xb9, 0xb0, 0x2f, 0x89, 0x98, 0x49, 0x69, 0xf8, 0x6a, 0xad, 0x27, 0x5e, 0x0a, 0x22, 0x60, 0x5e, 0x5d, 0xca, 0x06, 0x51, 0x27, 0x99, 0x29, 0x85, 0x68, 0x98, 0xe1, 0xc4, 0x21, 0x50, 0xa0, 0xe9, 0xc1}, + subYX: fp.Elt{0x4d, 0x70, 0xee, 0x91, 0x92, 0x3f, 0xb7, 0xd3, 0x1d, 0xdb, 0x8d, 0x6e, 0x16, 0xf5, 0x65, 0x7d, 0x5f, 0xb5, 0x6c, 0x59, 0x26, 0x70, 0x4b, 0xf2, 0xfc, 0xe7, 0xdf, 0x86, 0xfe, 0xa5, 0xa7, 0xa6, 0x5d, 0xfb, 0x06, 0xe9, 0xf9, 0xcc, 0xc0, 0x37, 0xcc, 0xd8, 0x09, 0x04, 0xd2, 0xa5, 0x1d, 0xd7, 0xb7, 0xce, 0x92, 0xac, 0x3c, 0xad, 0xfb, 0xae}, + dt2: fp.Elt{0x17, 0xa3, 0x9a, 0xc7, 0x86, 0x2a, 0x51, 0xf7, 0x96, 0x79, 0x49, 0x22, 0x2e, 0x5a, 0x01, 0x5c, 0xb5, 0x95, 0xd4, 0xe8, 0xcb, 0x00, 0xca, 0x2d, 0x55, 0xb6, 0x34, 0x36, 0x0b, 0x65, 0x46, 0xf0, 0x49, 0xfc, 0x87, 0x86, 0xe5, 0xc3, 0x15, 0xdb, 0x32, 0xcd, 0xf2, 0xd3, 0x82, 0x4c, 0xe6, 0x61, 0x8a, 0xaf, 0xd4, 0x9e, 0x0f, 0x5a, 0xf2, 0x81}, + }, + { /* 33P*/ + addYX: fp.Elt{0x88, 0x10, 0xc0, 0xcb, 0xf5, 0x77, 0xae, 0xa5, 0xbe, 0xf6, 0xcd, 0x2e, 0x8b, 0x7e, 0xbd, 0x79, 0x62, 0x4a, 0xeb, 0x69, 0xc3, 0x28, 0xaa, 0x72, 0x87, 0xa9, 0x25, 0x87, 0x46, 0xea, 0x0e, 0x62, 0xa3, 0x6a, 0x1a, 0xe2, 0xba, 0xdc, 0x81, 0x10, 0x33, 0x01, 0xf6, 0x16, 0x89, 0x80, 0xc6, 0xcd, 0xdb, 0xdc, 0xba, 0x0e, 0x09, 0x4a, 0x35, 0x4a}, + subYX: fp.Elt{0x86, 0xb2, 0x2b, 0xd0, 0xb8, 0x4a, 0x6d, 0x66, 0x7b, 0x32, 0xdf, 0x3b, 0x1a, 0x19, 0x1f, 0x63, 0xee, 0x1f, 0x3d, 0x1c, 0x5c, 0x14, 0x60, 0x5b, 0x72, 0x49, 0x07, 0xb1, 0x0d, 0x72, 0xc6, 0x35, 0xf0, 0xbc, 0x5e, 0xda, 0x80, 0x6b, 0x64, 0x5b, 0xe5, 0x34, 0x54, 0x39, 0xdd, 0xe6, 0x3c, 0xcb, 0xe5, 0x29, 0x32, 0x06, 0xc6, 0xb1, 0x96, 0x34}, + dt2: fp.Elt{0x85, 0x86, 0xf5, 0x84, 0x86, 0xe6, 0x77, 0x8a, 0x71, 0x85, 0x0c, 0x4f, 0x81, 0x5b, 0x29, 0x06, 0xb5, 0x2e, 0x26, 0x71, 0x07, 0x78, 0x07, 0xae, 0xbc, 0x95, 0x46, 0xc3, 0x65, 0xac, 0xe3, 0x76, 0x51, 0x7d, 0xd4, 0x85, 0x31, 0xe3, 0x43, 0xf3, 0x1b, 0x7c, 0xf7, 0x6b, 0x2c, 0xf8, 0x1c, 0xbb, 0x8d, 0xca, 0xab, 0x4b, 0xba, 0x7f, 0xa4, 0xe2}, + }, + { /* 35P*/ + addYX: fp.Elt{0x1a, 0xee, 0xe7, 0xa4, 0x8a, 0x9d, 0x53, 0x80, 0xc6, 0xb8, 0x4e, 0xdc, 0x89, 0xe0, 0xc4, 0x2b, 0x60, 0x52, 0x6f, 0xec, 0x81, 0xd2, 0x55, 0x6b, 0x1b, 0x6f, 0x17, 0x67, 0x8e, 0x42, 0x26, 0x4c, 0x65, 0x23, 0x29, 0xc6, 0x7b, 0xcd, 0x9f, 0xad, 0x4b, 0x42, 0xd3, 0x0c, 0x75, 0xc3, 0x8a, 0xf5, 0xbe, 0x9e, 0x55, 0xf7, 0x47, 0x5d, 0xbd, 0x3a}, + subYX: fp.Elt{0x0d, 0xa8, 0x3b, 0xf9, 0xc7, 0x7e, 0xc6, 0x86, 0x94, 0xc0, 0x01, 0xff, 0x27, 0xce, 0x43, 0xac, 0xe5, 0xe1, 0xd2, 0x8d, 0xc1, 0x22, 0x31, 0xbe, 0xe1, 0xaf, 0xf9, 0x4a, 0x78, 0xa1, 0x0c, 0xaa, 0xd4, 0x80, 0xe4, 0x09, 0x8d, 0xfb, 0x1d, 0x52, 0xc8, 0x60, 0x2d, 0xf2, 0xa2, 0x89, 0x02, 0x56, 0x3d, 0x56, 0x27, 0x85, 0xc7, 0xf0, 0x2b, 0x9a}, + dt2: fp.Elt{0x62, 0x7c, 0xc7, 0x6b, 0x2c, 0x9d, 0x0a, 0x7c, 0xe5, 0x50, 0x3c, 0xe6, 0x87, 0x1c, 0x82, 0x30, 0x67, 0x3c, 0x39, 0xb6, 0xa0, 0x31, 0xfb, 0x03, 0x7b, 0xa1, 0x58, 0xdf, 0x12, 0x76, 0x5d, 0x5d, 0x0a, 0x8f, 0x9b, 0x37, 0x32, 0xc3, 0x60, 0x33, 0xea, 0x9f, 0x0a, 0x99, 0xfa, 0x20, 0xd0, 0x33, 0x21, 0xc3, 0x94, 0xd4, 0x86, 0x49, 0x7c, 0x4e}, + }, + { /* 37P*/ + addYX: fp.Elt{0xc7, 0x0c, 0x71, 0xfe, 0x55, 0xd1, 0x95, 0x8f, 0x43, 0xbb, 0x6b, 0x74, 0x30, 0xbd, 0xe8, 0x6f, 0x1c, 0x1b, 0x06, 0x62, 0xf5, 0xfc, 0x65, 0xa0, 0xeb, 0x81, 0x12, 0xc9, 0x64, 0x66, 0x61, 0xde, 0xf3, 0x6d, 0xd4, 0xae, 0x8e, 0xb1, 0x72, 0xe0, 0xcd, 0x37, 0x01, 0x28, 0x52, 0xd7, 0x39, 0x46, 0x0c, 0x55, 0xcf, 0x47, 0x70, 0xef, 0xa1, 0x17}, + subYX: fp.Elt{0x8d, 0x58, 0xde, 0x83, 0x88, 0x16, 0x0e, 0x12, 0x42, 0x03, 0x50, 0x60, 0x4b, 0xdf, 0xbf, 0x95, 0xcc, 0x7d, 0x18, 0x17, 0x7e, 0x31, 0x5d, 0x8a, 0x66, 0xc1, 0xcf, 0x14, 0xea, 0xf4, 0xf4, 0xe5, 0x63, 0x2d, 0x32, 0x86, 0x9b, 0xed, 0x1f, 0x4f, 0x03, 0xaf, 0x33, 0x92, 0xcb, 0xaf, 0x9c, 0x05, 0x0d, 0x47, 0x1b, 0x42, 0xba, 0x13, 0x22, 0x98}, + dt2: fp.Elt{0xb5, 0x48, 0xeb, 0x7d, 0x3d, 0x10, 0x9f, 0x59, 0xde, 0xf8, 0x1c, 0x4f, 0x7d, 0x9d, 0x40, 0x4d, 0x9e, 0x13, 0x24, 0xb5, 0x21, 0x09, 0xb7, 0xee, 0x98, 0x5c, 0x56, 0xbc, 0x5e, 0x2b, 0x78, 0x38, 0x06, 0xac, 0xe3, 0xe0, 0xfa, 0x2e, 0xde, 0x4f, 0xd2, 0xb3, 0xfb, 0x2d, 0x71, 0x84, 0xd1, 0x9d, 0x12, 0x5b, 0x35, 0xc8, 0x03, 0x68, 0x67, 0xc7}, + }, + { /* 39P*/ + addYX: fp.Elt{0xb6, 0x65, 0xfb, 0xa7, 0x06, 0x35, 0xbb, 0xe0, 0x31, 0x8d, 0x91, 0x40, 0x98, 0xab, 0x30, 0xe4, 0xca, 0x12, 0x59, 0x89, 0xed, 0x65, 0x5d, 0x7f, 0xae, 0x69, 0xa0, 0xa4, 0xfa, 0x78, 0xb4, 0xf7, 0xed, 0xae, 0x86, 0x78, 0x79, 0x64, 0x24, 0xa6, 0xd4, 0xe1, 0xf6, 0xd3, 0xa0, 0x89, 0xba, 0x20, 0xf4, 0x54, 0x0d, 0x8f, 0xdb, 0x1a, 0x79, 0xdb}, + subYX: fp.Elt{0xe1, 0x82, 0x0c, 0x4d, 0xde, 0x9f, 0x40, 0xf0, 0xc1, 0xbd, 0x8b, 0xd3, 0x24, 0x03, 0xcd, 0xf2, 0x92, 0x7d, 0xe2, 0x68, 0x7f, 0xf1, 0xbe, 0x69, 0xde, 0x34, 0x67, 0x4c, 0x85, 0x3b, 0xec, 0x98, 0xcc, 0x4d, 0x3e, 0xc0, 0x96, 0x27, 0xe6, 0x75, 0xfc, 0xdf, 0x37, 0xc0, 0x1e, 0x27, 0xe0, 0xf6, 0xc2, 0xbd, 0xbc, 0x3d, 0x9b, 0x39, 0xdc, 0xe2}, + dt2: fp.Elt{0xd8, 0x29, 0xa7, 0x39, 0xe3, 0x9f, 0x2f, 0x0e, 0x4b, 0x24, 0x21, 0x70, 0xef, 0xfd, 0x91, 0xea, 0xbf, 0xe1, 0x72, 0x90, 0xcc, 0xc9, 0x84, 0x0e, 0xad, 0xd5, 0xe6, 0xbb, 0xc5, 0x99, 0x7f, 0xa4, 0xf0, 0x2e, 0xcc, 0x95, 0x64, 0x27, 0x19, 0xd8, 0x4c, 0x27, 0x0d, 0xff, 0xb6, 0x29, 0xe2, 0x6c, 0xfa, 0xbb, 0x4d, 0x9c, 0xbb, 0xaf, 0xa5, 0xec}, + }, + { /* 41P*/ + addYX: fp.Elt{0xd6, 0x33, 0x3f, 0x9f, 0xcf, 0xfd, 0x4c, 0xd1, 0xfe, 0xe5, 0xeb, 0x64, 0x27, 0xae, 0x7a, 0xa2, 0x82, 0x50, 0x6d, 0xaa, 0xe3, 0x5d, 0xe2, 0x48, 0x60, 0xb3, 0x76, 0x04, 0xd9, 0x19, 0xa7, 0xa1, 0x73, 0x8d, 0x38, 0xa9, 0xaf, 0x45, 0xb5, 0xb2, 0x62, 0x9b, 0xf1, 0x35, 0x7b, 0x84, 0x66, 0xeb, 0x06, 0xef, 0xf1, 0xb2, 0x2d, 0x6a, 0x61, 0x15}, + subYX: fp.Elt{0x86, 0x50, 0x42, 0xf7, 0xda, 0x59, 0xb2, 0xcf, 0x0d, 0x3d, 0xee, 0x8e, 0x53, 0x5d, 0xf7, 0x9e, 0x6a, 0x26, 0x2d, 0xc7, 0x8c, 0x8e, 0x18, 0x50, 0x6d, 0xb7, 0x51, 0x4c, 0xa7, 0x52, 0x6e, 0x0e, 0x0a, 0x16, 0x74, 0xb2, 0x81, 0x8b, 0x56, 0x27, 0x22, 0x84, 0xf4, 0x56, 0xc5, 0x06, 0xe1, 0x8b, 0xca, 0x2d, 0xdb, 0x9a, 0xf6, 0x10, 0x9c, 0x51}, + dt2: fp.Elt{0x1f, 0x16, 0xa2, 0x78, 0x96, 0x1b, 0x85, 0x9c, 0x76, 0x49, 0xd4, 0x0f, 0xac, 0xb0, 0xf4, 0xd0, 0x06, 0x2c, 0x7e, 0x6d, 0x6e, 0x8e, 0xc7, 0x9f, 0x18, 0xad, 0xfc, 0x88, 0x0c, 0x0c, 0x09, 0x05, 0x05, 0xa0, 0x79, 0x72, 0x32, 0x72, 0x87, 0x0f, 0x49, 0x87, 0x0c, 0xb4, 0x12, 0xc2, 0x09, 0xf8, 0x9f, 0x30, 0x72, 0xa9, 0x47, 0x13, 0x93, 0x49}, + }, + { /* 43P*/ + addYX: fp.Elt{0xcc, 0xb1, 0x4c, 0xd3, 0xc0, 0x9e, 0x9e, 0x4d, 0x6d, 0x28, 0x0b, 0xa5, 0x94, 0xa7, 0x2e, 0xc2, 0xc7, 0xaf, 0x29, 0x73, 0xc9, 0x68, 0xea, 0x0f, 0x34, 0x37, 0x8d, 0x96, 0x8f, 0x3a, 0x3d, 0x73, 0x1e, 0x6d, 0x9f, 0xcf, 0x8d, 0x83, 0xb5, 0x71, 0xb9, 0xe1, 0x4b, 0x67, 0x71, 0xea, 0xcf, 0x56, 0xe5, 0xeb, 0x72, 0x15, 0x2f, 0x9e, 0xa8, 0xaa}, + subYX: fp.Elt{0xf4, 0x3e, 0x85, 0x1c, 0x1a, 0xef, 0x50, 0xd1, 0xb4, 0x20, 0xb2, 0x60, 0x05, 0x98, 0xfe, 0x47, 0x3b, 0xc1, 0x76, 0xca, 0x2c, 0x4e, 0x5a, 0x42, 0xa3, 0xf7, 0x20, 0xaa, 0x57, 0x39, 0xee, 0x34, 0x1f, 0xe1, 0x68, 0xd3, 0x7e, 0x06, 0xc4, 0x6c, 0xc7, 0x76, 0x2b, 0xe4, 0x1c, 0x48, 0x44, 0xe6, 0xe5, 0x44, 0x24, 0x8d, 0xb3, 0xb6, 0x88, 0x32}, + dt2: fp.Elt{0x18, 0xa7, 0xba, 0xd0, 0x44, 0x6f, 0x33, 0x31, 0x00, 0xf8, 0xf6, 0x12, 0xe3, 0xc5, 0xc7, 0xb5, 0x91, 0x9c, 0x91, 0xb5, 0x75, 0x18, 0x18, 0x8a, 0xab, 0xed, 0x24, 0x11, 0x2e, 0xce, 0x5a, 0x0f, 0x94, 0x5f, 0x2e, 0xca, 0xd3, 0x80, 0xea, 0xe5, 0x34, 0x96, 0x67, 0x8b, 0x6a, 0x26, 0x5e, 0xc8, 0x9d, 0x2c, 0x5e, 0x6c, 0xa2, 0x0c, 0xbf, 0xf0}, + }, + { /* 45P*/ + addYX: fp.Elt{0xb3, 0xbf, 0xa3, 0x85, 0xee, 0xf6, 0x58, 0x02, 0x78, 0xc4, 0x30, 0xd6, 0x57, 0x59, 0x8c, 0x88, 0x08, 0x7c, 0xbc, 0xbe, 0x0a, 0x74, 0xa9, 0xde, 0x69, 0xe7, 0x41, 0xd8, 0xbf, 0x66, 0x8d, 0x3d, 0x28, 0x00, 0x8c, 0x47, 0x65, 0x34, 0xfe, 0x86, 0x9e, 0x6a, 0xf2, 0x41, 0x6a, 0x94, 0xc4, 0x88, 0x75, 0x23, 0x0d, 0x52, 0x69, 0xee, 0x07, 0x89}, + subYX: fp.Elt{0x22, 0x3c, 0xa1, 0x70, 0x58, 0x97, 0x93, 0xbe, 0x59, 0xa8, 0x0b, 0x8a, 0x46, 0x2a, 0x38, 0x1e, 0x08, 0x6b, 0x61, 0x9f, 0xf2, 0x4a, 0x8b, 0x80, 0x68, 0x6e, 0xc8, 0x92, 0x60, 0xf3, 0xc9, 0x89, 0xb2, 0x6d, 0x63, 0xb0, 0xeb, 0x83, 0x15, 0x63, 0x0e, 0x64, 0xbb, 0xb8, 0xfe, 0xb4, 0x81, 0x90, 0x01, 0x28, 0x10, 0xb9, 0x74, 0x6e, 0xde, 0xa4}, + dt2: fp.Elt{0x1a, 0x23, 0x45, 0xa8, 0x6f, 0x4e, 0xa7, 0x4a, 0x0c, 0xeb, 0xb0, 0x43, 0xf9, 0xef, 0x99, 0x60, 0x5b, 0xdb, 0x66, 0xc0, 0x86, 0x71, 0x43, 0xb1, 0x22, 0x7b, 0x1c, 0xe7, 0x8d, 0x09, 0x1d, 0x83, 0x76, 0x9c, 0xd3, 0x5a, 0xdd, 0x42, 0xd9, 0x2f, 0x2d, 0xba, 0x7a, 0xc2, 0xd9, 0x6b, 0xd4, 0x7a, 0xf1, 0xd5, 0x5f, 0x6b, 0x85, 0xbf, 0x0b, 0xf1}, + }, + { /* 47P*/ + addYX: fp.Elt{0xb2, 0x83, 0xfa, 0x1f, 0xd2, 0xce, 0xb6, 0xf2, 0x2d, 0xea, 0x1b, 0xe5, 0x29, 0xa5, 0x72, 0xf9, 0x25, 0x48, 0x4e, 0xf2, 0x50, 0x1b, 0x39, 0xda, 0x34, 0xc5, 0x16, 0x13, 0xb4, 0x0c, 0xa1, 0x00, 0x79, 0x7a, 0xf5, 0x8b, 0xf3, 0x70, 0x14, 0xb6, 0xfc, 0x9a, 0x47, 0x68, 0x1e, 0x42, 0x70, 0x64, 0x2a, 0x84, 0x3e, 0x3d, 0x20, 0x58, 0xf9, 0x6a}, + subYX: fp.Elt{0xd9, 0xee, 0xc0, 0xc4, 0xf5, 0xc2, 0x86, 0xaf, 0x45, 0xd2, 0xd2, 0x87, 0x1b, 0x64, 0xd5, 0xe0, 0x8c, 0x44, 0x00, 0x4f, 0x43, 0x89, 0x04, 0x48, 0x4a, 0x0b, 0xca, 0x94, 0x06, 0x2f, 0x23, 0x5b, 0x6c, 0x8d, 0x44, 0x66, 0x53, 0xf5, 0x5a, 0x20, 0x72, 0x28, 0x58, 0x84, 0xcc, 0x73, 0x22, 0x5e, 0xd1, 0x0b, 0x56, 0x5e, 0x6a, 0xa3, 0x11, 0x91}, + dt2: fp.Elt{0x6e, 0x9f, 0x88, 0xa8, 0x68, 0x2f, 0x12, 0x37, 0x88, 0xfc, 0x92, 0x8f, 0x24, 0xeb, 0x5b, 0x2a, 0x2a, 0xd0, 0x14, 0x40, 0x4c, 0xa9, 0xa4, 0x03, 0x0c, 0x45, 0x48, 0x13, 0xe8, 0xa6, 0x37, 0xab, 0xc0, 0x06, 0x38, 0x6c, 0x96, 0x73, 0x40, 0x6c, 0xc6, 0xea, 0x56, 0xc6, 0xe9, 0x1a, 0x69, 0xeb, 0x7a, 0xd1, 0x33, 0x69, 0x58, 0x2b, 0xea, 0x2f}, + }, + { /* 49P*/ + addYX: fp.Elt{0x58, 0xa8, 0x05, 0x41, 0x00, 0x9d, 0xaa, 0xd9, 0x98, 0xcf, 0xb9, 0x41, 0xb5, 0x4a, 0x8d, 0xe2, 0xe7, 0xc0, 0x72, 0xef, 0xc8, 0x28, 0x6b, 0x68, 0x9d, 0xc9, 0xdf, 0x05, 0x8b, 0xd0, 0x04, 0x74, 0x79, 0x45, 0x52, 0x05, 0xa3, 0x6e, 0x35, 0x3a, 0xe3, 0xef, 0xb2, 0xdc, 0x08, 0x6f, 0x4e, 0x76, 0x85, 0x67, 0xba, 0x23, 0x8f, 0xdd, 0xaf, 0x09}, + subYX: fp.Elt{0xb4, 0x38, 0xc8, 0xff, 0x4f, 0x65, 0x2a, 0x7e, 0xad, 0xb1, 0xc6, 0xb9, 0x3d, 0xd6, 0xf7, 0x14, 0xcf, 0xf6, 0x98, 0x75, 0xbb, 0x47, 0x83, 0x90, 0xe7, 0xe1, 0xf6, 0x14, 0x99, 0x7e, 0xfa, 0xe4, 0x77, 0x24, 0xe3, 0xe7, 0xf0, 0x1e, 0xdb, 0x27, 0x4e, 0x16, 0x04, 0xf2, 0x08, 0x52, 0xfc, 0xec, 0x55, 0xdb, 0x2e, 0x67, 0xe1, 0x94, 0x32, 0x89}, + dt2: fp.Elt{0x00, 0xad, 0x03, 0x35, 0x1a, 0xb1, 0x88, 0xf0, 0xc9, 0x11, 0xe4, 0x12, 0x52, 0x61, 0xfd, 0x8a, 0x1b, 0x6a, 0x0a, 0x4c, 0x42, 0x46, 0x22, 0x0e, 0xa5, 0xf9, 0xe2, 0x50, 0xf2, 0xb2, 0x1f, 0x20, 0x78, 0x10, 0xf6, 0xbf, 0x7f, 0x0c, 0x9c, 0xad, 0x40, 0x8b, 0x82, 0xd4, 0xba, 0x69, 0x09, 0xac, 0x4b, 0x6d, 0xc4, 0x49, 0x17, 0x81, 0x57, 0x3b}, + }, + { /* 51P*/ + addYX: fp.Elt{0x0d, 0xfe, 0xb4, 0x35, 0x11, 0xbd, 0x1d, 0x6b, 0xc2, 0xc5, 0x3b, 0xd2, 0x23, 0x2c, 0x72, 0xe3, 0x48, 0xb1, 0x48, 0x73, 0xfb, 0xa3, 0x21, 0x6e, 0xc0, 0x09, 0x69, 0xac, 0xe1, 0x60, 0xbc, 0x24, 0x03, 0x99, 0x63, 0x0a, 0x00, 0xf0, 0x75, 0xf6, 0x92, 0xc5, 0xd6, 0xdb, 0x51, 0xd4, 0x7d, 0xe6, 0xf4, 0x11, 0x79, 0xd7, 0xc3, 0xaf, 0x48, 0xd0}, + subYX: fp.Elt{0xf4, 0x4f, 0xaf, 0x31, 0xe3, 0x10, 0x89, 0x95, 0xf0, 0x8a, 0xf6, 0x31, 0x9f, 0x48, 0x02, 0xba, 0x42, 0x2b, 0x3c, 0x22, 0x8b, 0xcc, 0x12, 0x98, 0x6e, 0x7a, 0x64, 0x3a, 0xc4, 0xca, 0x32, 0x2a, 0x72, 0xf8, 0x2c, 0xcf, 0x78, 0x5e, 0x7a, 0x75, 0x6e, 0x72, 0x46, 0x48, 0x62, 0x28, 0xac, 0x58, 0x1a, 0xc6, 0x59, 0x88, 0x2a, 0x44, 0x9e, 0x83}, + dt2: fp.Elt{0xb3, 0xde, 0x36, 0xfd, 0xeb, 0x1b, 0xd4, 0x24, 0x1b, 0x08, 0x8c, 0xfe, 0xa9, 0x41, 0xa1, 0x64, 0xf2, 0x6d, 0xdb, 0xf9, 0x94, 0xae, 0x86, 0x71, 0xab, 0x10, 0xbf, 0xa3, 0xb2, 0xa0, 0xdf, 0x10, 0x8c, 0x74, 0xce, 0xb3, 0xfc, 0xdb, 0xba, 0x15, 0xf6, 0x91, 0x7a, 0x9c, 0x36, 0x1e, 0x45, 0x07, 0x3c, 0xec, 0x1a, 0x61, 0x26, 0x93, 0xe3, 0x50}, + }, + { /* 53P*/ + addYX: fp.Elt{0xc5, 0x50, 0xc5, 0x83, 0xb0, 0xbd, 0xd9, 0xf6, 0x6d, 0x15, 0x5e, 0xc1, 0x1a, 0x33, 0xa0, 0xce, 0x13, 0x70, 0x3b, 0xe1, 0x31, 0xc6, 0xc4, 0x02, 0xec, 0x8c, 0xd5, 0x9c, 0x97, 0xd3, 0x12, 0xc4, 0xa2, 0xf9, 0xd5, 0xfb, 0x22, 0x69, 0x94, 0x09, 0x2f, 0x59, 0xce, 0xdb, 0xf2, 0xf2, 0x00, 0xe0, 0xa9, 0x08, 0x44, 0x2e, 0x8b, 0x6b, 0xf5, 0xb3}, + subYX: fp.Elt{0x90, 0xdd, 0xec, 0xa2, 0x65, 0xb7, 0x61, 0xbc, 0xaa, 0x70, 0xa2, 0x15, 0xd8, 0xb0, 0xf8, 0x8e, 0x23, 0x3d, 0x9f, 0x46, 0xa3, 0x29, 0x20, 0xd1, 0xa1, 0x15, 0x81, 0xc6, 0xb6, 0xde, 0xbe, 0x60, 0x63, 0x24, 0xac, 0x15, 0xfb, 0xeb, 0xd3, 0xea, 0x57, 0x13, 0x86, 0x38, 0x1e, 0x22, 0xf4, 0x8c, 0x5d, 0xaf, 0x1b, 0x27, 0x21, 0x4f, 0xa3, 0x63}, + dt2: fp.Elt{0x07, 0x15, 0x87, 0xc4, 0xfd, 0xa1, 0x97, 0x7a, 0x07, 0x1f, 0x56, 0xcc, 0xe3, 0x6a, 0x01, 0x90, 0xce, 0xf9, 0xfa, 0x50, 0xb2, 0xe0, 0x87, 0x8b, 0x6c, 0x63, 0x6c, 0xf6, 0x2a, 0x09, 0xef, 0xef, 0xd2, 0x31, 0x40, 0x25, 0xf6, 0x84, 0xcb, 0xe0, 0xc4, 0x23, 0xc1, 0xcb, 0xe2, 0x02, 0x83, 0x2d, 0xed, 0x74, 0x74, 0x8b, 0xf8, 0x7c, 0x81, 0x18}, + }, + { /* 55P*/ + addYX: fp.Elt{0x9e, 0xe5, 0x59, 0x95, 0x63, 0x2e, 0xac, 0x8b, 0x03, 0x3c, 0xc1, 0x8e, 0xe1, 0x5b, 0x56, 0x3c, 0x16, 0x41, 0xe4, 0xc2, 0x60, 0x0c, 0x6d, 0x65, 0x9f, 0xfc, 0x27, 0x68, 0x43, 0x44, 0x05, 0x12, 0x6c, 0xda, 0x04, 0xef, 0xcf, 0xcf, 0xdc, 0x0a, 0x1a, 0x7f, 0x12, 0xd3, 0xeb, 0x02, 0xb6, 0x04, 0xca, 0xd6, 0xcb, 0xf0, 0x22, 0xba, 0x35, 0x6d}, + subYX: fp.Elt{0x09, 0x6d, 0xf9, 0x64, 0x4c, 0xe6, 0x41, 0xff, 0x01, 0x4d, 0xce, 0x1e, 0xfa, 0x38, 0xa2, 0x25, 0x62, 0xff, 0x03, 0x39, 0x18, 0x91, 0xbb, 0x9d, 0xce, 0x02, 0xf0, 0xf1, 0x3c, 0x55, 0x18, 0xa9, 0xab, 0x4d, 0xd2, 0x35, 0xfd, 0x8d, 0xa9, 0xb2, 0xad, 0xb7, 0x06, 0x6e, 0xc6, 0x69, 0x49, 0xd6, 0x98, 0x98, 0x0b, 0x22, 0x81, 0x6b, 0xbd, 0xa0}, + dt2: fp.Elt{0x22, 0xf4, 0x85, 0x5d, 0x2b, 0xf1, 0x55, 0xa5, 0xd6, 0x27, 0x86, 0x57, 0x12, 0x1f, 0x16, 0x0a, 0x5a, 0x9b, 0xf2, 0x38, 0xb6, 0x28, 0xd8, 0x99, 0x0c, 0x89, 0x1d, 0x7f, 0xca, 0x21, 0x17, 0x1a, 0x0b, 0x02, 0x5f, 0x77, 0x2f, 0x73, 0x30, 0x7c, 0xc8, 0xd7, 0x2b, 0xcc, 0xe7, 0xf3, 0x21, 0xac, 0x53, 0xa7, 0x11, 0x5d, 0xd8, 0x1d, 0x9b, 0xf5}, + }, + { /* 57P*/ + addYX: fp.Elt{0x94, 0x63, 0x5d, 0xef, 0xfd, 0x6d, 0x25, 0x4e, 0x6d, 0x29, 0x03, 0xed, 0x24, 0x28, 0x27, 0x57, 0x47, 0x3e, 0x6a, 0x1a, 0xfe, 0x37, 0xee, 0x5f, 0x83, 0x29, 0x14, 0xfd, 0x78, 0x25, 0x8a, 0xe1, 0x02, 0x38, 0xd8, 0xca, 0x65, 0x55, 0x40, 0x7d, 0x48, 0x2c, 0x7c, 0x7e, 0x60, 0xb6, 0x0c, 0x6d, 0xf7, 0xe8, 0xb3, 0x62, 0x53, 0xd6, 0x9c, 0x2b}, + subYX: fp.Elt{0x47, 0x25, 0x70, 0x62, 0xf5, 0x65, 0x93, 0x62, 0x08, 0xac, 0x59, 0x66, 0xdb, 0x08, 0xd9, 0x1a, 0x19, 0xaf, 0xf4, 0xef, 0x02, 0xa2, 0x78, 0xa9, 0x55, 0x1c, 0xfa, 0x08, 0x11, 0xcb, 0xa3, 0x71, 0x74, 0xb1, 0x62, 0xe7, 0xc7, 0xf3, 0x5a, 0xb5, 0x8b, 0xd4, 0xf6, 0x10, 0x57, 0x79, 0x72, 0x2f, 0x13, 0x86, 0x7b, 0x44, 0x5f, 0x48, 0xfd, 0x88}, + dt2: fp.Elt{0x10, 0x02, 0xcd, 0x05, 0x9a, 0xc3, 0x32, 0x6d, 0x10, 0x3a, 0x74, 0xba, 0x06, 0xc4, 0x3b, 0x34, 0xbc, 0x36, 0xed, 0xa3, 0xba, 0x9a, 0xdb, 0x6d, 0xd4, 0x69, 0x99, 0x97, 0xd0, 0xe4, 0xdd, 0xf5, 0xd4, 0x7c, 0xd3, 0x4e, 0xab, 0xd1, 0x3b, 0xbb, 0xe9, 0xc7, 0x6a, 0x94, 0x25, 0x61, 0xf0, 0x06, 0xc5, 0x12, 0xa8, 0x86, 0xe5, 0x35, 0x46, 0xeb}, + }, + { /* 59P*/ + addYX: fp.Elt{0x9e, 0x95, 0x11, 0xc6, 0xc7, 0xe8, 0xee, 0x5a, 0x26, 0xa0, 0x72, 0x72, 0x59, 0x91, 0x59, 0x16, 0x49, 0x99, 0x7e, 0xbb, 0xd7, 0x15, 0xb4, 0xf2, 0x40, 0xf9, 0x5a, 0x4d, 0xc8, 0xa0, 0xe2, 0x34, 0x7b, 0x34, 0xf3, 0x99, 0xbf, 0xa9, 0xf3, 0x79, 0xc1, 0x1a, 0x0c, 0xf4, 0x86, 0x74, 0x4e, 0xcb, 0xbc, 0x90, 0xad, 0xb6, 0x51, 0x6d, 0xaa, 0x33}, + subYX: fp.Elt{0x9f, 0xd1, 0xc5, 0xa2, 0x6c, 0x24, 0x88, 0x15, 0x71, 0x68, 0xf6, 0x07, 0x45, 0x02, 0xc4, 0x73, 0x7e, 0x75, 0x87, 0xca, 0x7c, 0xf0, 0x92, 0x00, 0x75, 0xd6, 0x5a, 0xdd, 0xe0, 0x64, 0x16, 0x9d, 0x62, 0x80, 0x33, 0x9f, 0xf4, 0x8e, 0x1a, 0x15, 0x1c, 0xd3, 0x0f, 0x4d, 0x4f, 0x62, 0x2d, 0xd7, 0xa5, 0x77, 0xe3, 0xea, 0xf0, 0xfb, 0x1a, 0xdb}, + dt2: fp.Elt{0x6a, 0xa2, 0xb1, 0xaa, 0xfb, 0x5a, 0x32, 0x4e, 0xff, 0x47, 0x06, 0xd5, 0x9a, 0x4f, 0xce, 0x83, 0x5b, 0x82, 0x34, 0x3e, 0x47, 0xb8, 0xf8, 0xe9, 0x7c, 0x67, 0x69, 0x8d, 0x9c, 0xb7, 0xde, 0x57, 0xf4, 0x88, 0x41, 0x56, 0x0c, 0x87, 0x1e, 0xc9, 0x2f, 0x54, 0xbf, 0x5c, 0x68, 0x2c, 0xd9, 0xc4, 0xef, 0x53, 0x73, 0x1e, 0xa6, 0x38, 0x02, 0x10}, + }, + { /* 61P*/ + addYX: fp.Elt{0x08, 0x80, 0x4a, 0xc9, 0xb7, 0xa8, 0x88, 0xd9, 0xfc, 0x6a, 0xc0, 0x3e, 0xc2, 0x33, 0x4d, 0x2b, 0x2a, 0xa3, 0x6d, 0x72, 0x3e, 0xdc, 0x34, 0x68, 0x08, 0xbf, 0x27, 0xef, 0xf4, 0xff, 0xe2, 0x0c, 0x31, 0x0c, 0xa2, 0x0a, 0x1f, 0x65, 0xc1, 0x4c, 0x61, 0xd3, 0x1b, 0xbc, 0x25, 0xb1, 0xd0, 0xd4, 0x89, 0xb2, 0x53, 0xfb, 0x43, 0xa5, 0xaf, 0x04}, + subYX: fp.Elt{0xe3, 0xe1, 0x37, 0xad, 0x58, 0xa9, 0x55, 0x81, 0xee, 0x64, 0x21, 0xb9, 0xf5, 0x4c, 0x35, 0xea, 0x4a, 0xd3, 0x26, 0xaa, 0x90, 0xd4, 0x60, 0x46, 0x09, 0x4b, 0x4a, 0x62, 0xf9, 0xcd, 0xe1, 0xee, 0xbb, 0xc2, 0x09, 0x0b, 0xb0, 0x96, 0x8e, 0x43, 0x77, 0xaf, 0x25, 0x20, 0x5e, 0x47, 0xe4, 0x1d, 0x50, 0x69, 0x74, 0x08, 0xd7, 0xb9, 0x90, 0x13}, + dt2: fp.Elt{0x51, 0x91, 0x95, 0x64, 0x03, 0x16, 0xfd, 0x6e, 0x26, 0x94, 0x6b, 0x61, 0xe7, 0xd9, 0xe0, 0x4a, 0x6d, 0x7c, 0xfa, 0xc0, 0xe2, 0x43, 0x23, 0x53, 0x70, 0xf5, 0x6f, 0x73, 0x8b, 0x81, 0xb0, 0x0c, 0xee, 0x2e, 0x46, 0xf2, 0x8d, 0xa6, 0xfb, 0xb5, 0x1c, 0x33, 0xbf, 0x90, 0x59, 0xc9, 0x7c, 0xb8, 0x6f, 0xad, 0x75, 0x02, 0x90, 0x8e, 0x59, 0x75}, + }, + { /* 63P*/ + addYX: fp.Elt{0x36, 0x4d, 0x77, 0x04, 0xb8, 0x7d, 0x4a, 0xd1, 0xc5, 0xbb, 0x7b, 0x50, 0x5f, 0x8d, 0x9d, 0x62, 0x0f, 0x66, 0x71, 0xec, 0x87, 0xc5, 0x80, 0x82, 0xc8, 0xf4, 0x6a, 0x94, 0x92, 0x5b, 0xb0, 0x16, 0x9b, 0xb2, 0xc9, 0x6f, 0x2b, 0x2d, 0xee, 0x95, 0x73, 0x2e, 0xc2, 0x1b, 0xc5, 0x55, 0x36, 0x86, 0x24, 0xf8, 0x20, 0x05, 0x0d, 0x93, 0xd7, 0x76}, + subYX: fp.Elt{0x7f, 0x01, 0xeb, 0x2e, 0x48, 0x4d, 0x1d, 0xf1, 0x06, 0x7e, 0x7c, 0x2a, 0x43, 0xbf, 0x28, 0xac, 0xe9, 0x58, 0x13, 0xc8, 0xbf, 0x8e, 0xc0, 0xef, 0xe8, 0x4f, 0x46, 0x8a, 0xe7, 0xc0, 0xf6, 0x0f, 0x0a, 0x03, 0x48, 0x91, 0x55, 0x39, 0x2a, 0xe3, 0xdc, 0xf6, 0x22, 0x9d, 0x4d, 0x71, 0x55, 0x68, 0x25, 0x6e, 0x95, 0x52, 0xee, 0x4c, 0xd9, 0x01}, + dt2: fp.Elt{0xac, 0x33, 0x3f, 0x7c, 0x27, 0x35, 0x15, 0x91, 0x33, 0x8d, 0xf9, 0xc4, 0xf4, 0xf3, 0x90, 0x09, 0x75, 0x69, 0x62, 0x9f, 0x61, 0x35, 0x83, 0x92, 0x04, 0xef, 0x96, 0x38, 0x80, 0x9e, 0x88, 0xb3, 0x67, 0x95, 0xbe, 0x79, 0x3c, 0x35, 0xd8, 0xdc, 0xb2, 0x3e, 0x2d, 0xe6, 0x46, 0xbe, 0x81, 0xf3, 0x32, 0x0e, 0x37, 0x23, 0x75, 0x2a, 0x3d, 0xa0}, + }, +} diff --git a/src/circl/ecc/goldilocks/twist_basemult.go b/src/circl/ecc/goldilocks/twist_basemult.go new file mode 100644 index 00000000000..4a21a8b065c --- /dev/null +++ b/src/circl/ecc/goldilocks/twist_basemult.go @@ -0,0 +1,62 @@ +package goldilocks + +import ( + "crypto/subtle" + + mlsb "circl/math/mlsbset" +) + +const ( + // MLSBRecoding parameters + fxT = 448 + fxV = 2 + fxW = 3 + fx2w1 = 1 << (uint(fxW) - 1) +) + +// ScalarBaseMult returns kG where G is the generator point. +func (e twistCurve) ScalarBaseMult(k *Scalar) *twistPoint { + m, err := mlsb.New(fxT, fxV, fxW) + if err != nil { + panic(err) + } + if m.IsExtended() { + panic("not extended") + } + + var isZero int + if k.IsZero() { + isZero = 1 + } + subtle.ConstantTimeCopy(isZero, k[:], order[:]) + + minusK := *k + isEven := 1 - int(k[0]&0x1) + minusK.Neg() + subtle.ConstantTimeCopy(isEven, k[:], minusK[:]) + c, err := m.Encode(k[:]) + if err != nil { + panic(err) + } + + gP := c.Exp(groupMLSB{}) + P := gP.(*twistPoint) + P.cneg(uint(isEven)) + return P +} + +type groupMLSB struct{} + +func (e groupMLSB) ExtendedEltP() mlsb.EltP { return nil } +func (e groupMLSB) Sqr(x mlsb.EltG) { x.(*twistPoint).Double() } +func (e groupMLSB) Mul(x mlsb.EltG, y mlsb.EltP) { x.(*twistPoint).mixAddZ1(y.(*preTwistPointAffine)) } +func (e groupMLSB) Identity() mlsb.EltG { return twistCurve{}.Identity() } +func (e groupMLSB) NewEltP() mlsb.EltP { return &preTwistPointAffine{} } +func (e groupMLSB) Lookup(a mlsb.EltP, v uint, s, u int32) { + Tabj := &tabFixMult[v] + P := a.(*preTwistPointAffine) + for k := range Tabj { + P.cmov(&Tabj[k], uint(subtle.ConstantTimeEq(int32(k), u))) + } + P.cneg(int(s >> 31)) +} diff --git a/src/circl/ecc/p384/LICENSE b/src/circl/ecc/p384/LICENSE new file mode 100644 index 00000000000..4e5596db89d --- /dev/null +++ b/src/circl/ecc/p384/LICENSE @@ -0,0 +1,26 @@ +Copyright (c) 2018, Brendan McMillion. All rights reserved. + +Redistribution and use in source and binary forms, with or without modification, +are permitted provided that the following conditions are met: + +1. Redistributions of source code must retain the above copyright notice, this +list of conditions and the following disclaimer. + +2. Redistributions in binary form must reproduce the above copyright notice, +this list of conditions and the following disclaimer in the documentation and/or +other materials provided with the distribution. + +3. Neither the name of the copyright holder nor the names of its contributors +may be used to endorse or promote products derived from this software without +specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND +ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR +ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES +(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON +ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/circl/ecc/p384/api_test.go b/src/circl/ecc/p384/api_test.go new file mode 100644 index 00000000000..64a12963e13 --- /dev/null +++ b/src/circl/ecc/p384/api_test.go @@ -0,0 +1,56 @@ +// +build arm64 amd64 + +package p384_test + +import ( + "crypto/elliptic" + "crypto/rand" + "fmt" + "testing" + + "circl/ecc/p384" +) + +func BenchmarkScalarMult(b *testing.B) { + curve := p384.P384() + params := curve.Params() + + K, _ := rand.Int(rand.Reader, params.N) + M, _ := rand.Int(rand.Reader, params.N) + N, _ := rand.Int(rand.Reader, params.N) + k := K.Bytes() + m := M.Bytes() + n := N.Bytes() + + b.Run("kG", func(b *testing.B) { + for i := 0; i < b.N; i++ { + curve.ScalarBaseMult(k) + } + }) + b.Run("kP", func(b *testing.B) { + for i := 0; i < b.N; i++ { + curve.ScalarMult(params.Gx, params.Gy, k) + } + }) + b.Run("kG+lP", func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _ = curve.CombinedMult(params.Gx, params.Gy, m, n) + } + }) +} + +func Example_p384() { + // import "circl/ecc/p384" + // import "crypto/elliptic" + circl := p384.P384() + stdlib := elliptic.P384() + + params := circl.Params() + K, _ := rand.Int(rand.Reader, params.N) + k := K.Bytes() + + x1, y1 := circl.ScalarBaseMult(k) + x2, y2 := stdlib.ScalarBaseMult(k) + fmt.Printf("%v, %v", x1.Cmp(x2) == 0, y1.Cmp(y2) == 0) + // Output: true, true +} diff --git a/src/circl/ecc/p384/arith.go b/src/circl/ecc/p384/arith.go new file mode 100644 index 00000000000..44eb5228cf3 --- /dev/null +++ b/src/circl/ecc/p384/arith.go @@ -0,0 +1,148 @@ +// +build arm64 amd64 + +package p384 + +import ( + "math/big" + + "circl/internal/conv" +) + +const sizeFp = 48 + +type fp384 [sizeFp]byte + +func (e fp384) BigInt() *big.Int { return conv.BytesLe2BigInt(e[:]) } +func (e fp384) String() string { return conv.BytesLe2Hex(e[:]) } + +func (e *fp384) SetBigInt(b *big.Int) { + if b.BitLen() > 384 || b.Sign() < 0 { + b = new(big.Int).Mod(b, p.BigInt()) + } + conv.BigInt2BytesLe(e[:], b) +} + +func montEncode(c, a *fp384) { fp384Mul(c, a, &r2) } +func montDecode(c, a *fp384) { fp384Mul(c, a, &fp384{1}) } +func fp384Sqr(c, a *fp384) { fp384Mul(c, a, a) } + +func fp384Inv(z, x *fp384) { + t0, t1, t2, t3, t4 := &fp384{}, &fp384{}, &fp384{}, &fp384{}, &fp384{} + /* alpha_1 */ + fp384Sqr(t4, x) + /* alpha_2 */ + fp384Mul(t4, t4, x) + /* alpha_3 */ + fp384Sqr(t0, t4) + fp384Mul(t0, t0, x) + /* alpha_6 */ + fp384Sqr(t1, t0) + fp384Sqr(t1, t1) + fp384Sqr(t1, t1) + fp384Mul(t1, t1, t0) + /* alpha_12 */ + fp384Sqr(t2, t1) + for i := 0; i < 5; i++ { + fp384Sqr(t2, t2) + } + fp384Mul(t2, t2, t1) + /* alpha_15 */ + for i := 0; i < 3; i++ { + fp384Sqr(t2, t2) + } + fp384Mul(t2, t2, t0) + /* alpha_30 */ + fp384Sqr(t1, t2) + for i := 0; i < 14; i++ { + fp384Sqr(t1, t1) + } + fp384Mul(t1, t1, t2) + /* alpha_60 */ + fp384Sqr(t3, t1) + for i := 0; i < 29; i++ { + fp384Sqr(t3, t3) + } + fp384Mul(t3, t3, t1) + /* T_3 = alpha_30^(2^2) */ + fp384Sqr(t1, t1) + fp384Sqr(t1, t1) + /* alpha_32 */ + *t0 = *t1 + fp384Mul(t0, t0, t4) + /* T_3 = a^(2^32-3) = (alpha_30)^(2^2)*alpha_1 */ + fp384Mul(t1, t1, x) + /* alpha_120 */ + fp384Sqr(t4, t3) + for i := 0; i < 59; i++ { + fp384Sqr(t4, t4) + } + fp384Mul(t4, t4, t3) + /* alpha_240 */ + fp384Sqr(t3, t4) + for i := 0; i < 119; i++ { + fp384Sqr(t3, t3) + } + fp384Mul(t3, t3, t4) + /* alpha_255 */ + for i := 0; i < 15; i++ { + fp384Sqr(t3, t3) + } + fp384Mul(t3, t3, t2) + /* T_5 = a^(2^288-2^32-1) = (alpha_255)^(2^33)*alpha_32 */ + for i := 0; i < 33; i++ { + fp384Sqr(t3, t3) + } + fp384Mul(t3, t3, t0) + /* T_1 = a^(2^384-2^128-2^96+2^32-3) = (T_1)^(2^96)*T_3 */ + fp384Sqr(t4, t3) + for i := 0; i < 95; i++ { + fp384Sqr(t4, t4) + } + fp384Mul(z, t4, t1) +} + +//go:noescape +func fp384Cmov(x, y *fp384, b int) + +//go:noescape +func fp384Neg(c, a *fp384) + +//go:noescape +func fp384Add(c, a, b *fp384) + +//go:noescape +func fp384Sub(c, a, b *fp384) + +//go:noescape +func fp384Mul(c, a, b *fp384) + +var ( + // p is the order of the base field, represented as little-endian 64-bit words. + p = fp384{ + 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } + // pp satisfies r*rp - p*pp = 1 where rp and pp are both integers. + pp = fp384{ //nolint + 0x01, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0xfe, 0xff, 0xff, 0xff, 0xfb, 0xff, 0xff, 0xff, + 0xfa, 0xff, 0xff, 0xff, 0xfc, 0xff, 0xff, 0xff, 0x02, 0x00, 0x00, 0x00, + 0x0c, 0x00, 0x00, 0x00, 0x14, 0x00, 0x00, 0x00, 0x14, 0x00, 0x00, 0x00, + } + // r2 is R^2 where R = 2^384 mod p. + r2 = fp384{ + 0x01, 0x00, 0x00, 0x00, 0xfe, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00, + 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xfe, 0xff, 0xff, 0xff, + 0x00, 0x00, 0x00, 0x00, 0x02, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + } + // bb is the Montgomery encoding of the curve parameter B. + bb = fp384{ + 0xcc, 0x2d, 0x41, 0x9d, 0x71, 0x88, 0x11, 0x08, 0xec, 0x32, 0x4c, 0x7a, + 0xd8, 0xad, 0x29, 0xf7, 0x2e, 0x02, 0x20, 0x19, 0x9b, 0x20, 0xf2, 0x77, + 0xe2, 0x8a, 0x93, 0x94, 0xee, 0x4b, 0x37, 0xe3, 0x94, 0x20, 0x02, 0x1f, + 0xf4, 0x21, 0x2b, 0xb6, 0xf9, 0xbf, 0x4f, 0x60, 0x4b, 0x11, 0x08, 0xcd, + } +) diff --git a/src/circl/ecc/p384/arith_amd64.go b/src/circl/ecc/p384/arith_amd64.go new file mode 100644 index 00000000000..fd67a02604f --- /dev/null +++ b/src/circl/ecc/p384/arith_amd64.go @@ -0,0 +1,7 @@ +// +build amd64 + +package p384 + +import "internal/cpu" + +var hasBMI2 = cpu.X86.HasBMI2 //nolint diff --git a/src/circl/ecc/p384/arith_amd64.s b/src/circl/ecc/p384/arith_amd64.s new file mode 100644 index 00000000000..608cfdb62b0 --- /dev/null +++ b/src/circl/ecc/p384/arith_amd64.s @@ -0,0 +1,745 @@ +// +build amd64 + +#include "textflag.h" + +#define storeBlock(a0,a1,a2,a3,a4,a5, r) \ + MOVQ a0, 0+r \ + MOVQ a1, 8+r \ + MOVQ a2, 16+r \ + MOVQ a3, 24+r \ + MOVQ a4, 32+r \ + MOVQ a5, 40+r + +#define loadBlock(r, a0,a1,a2,a3,a4,a5) \ + MOVQ 0+r, a0 \ + MOVQ 8+r, a1 \ + MOVQ 16+r, a2 \ + MOVQ 24+r, a3 \ + MOVQ 32+r, a4 \ + MOVQ 40+r, a5 + +#define fp384Carry(a0,a1,a2,a3,a4,a5,a6, b0,b1,b2,b3,b4,b5,b6) \ + \ // b = a-p + MOVQ a0, b0 \ + MOVQ a1, b1 \ + MOVQ a2, b2 \ + MOVQ a3, b3 \ + MOVQ a4, b4 \ + MOVQ a5, b5 \ + MOVQ a6, b6 \ + \ + SUBQ ·p+0(SB), b0 \ + SBBQ ·p+8(SB), b1 \ + SBBQ ·p+16(SB), b2 \ + SBBQ ·p+24(SB), b3 \ + SBBQ ·p+32(SB), b4 \ + SBBQ ·p+40(SB), b5 \ + SBBQ $0, b6 \ + \ + \ // if b is negative then return a + \ // else return b + CMOVQCC b0, a0 \ + CMOVQCC b1, a1 \ + CMOVQCC b2, a2 \ + CMOVQCC b3, a3 \ + CMOVQCC b4, a4 \ + CMOVQCC b5, a5 + +#define mul(a0,a1,a2,a3,a4,a5, rb, stack) \ + \ // a0 + MOVQ a0, AX \ + MULQ 0+rb \ + MOVQ AX, R8 \ + MOVQ DX, R9 \ + MOVQ a0, AX \ + MULQ 8+rb \ + ADDQ AX, R9 \ + ADCQ $0, DX \ + MOVQ DX, R10 \ + MOVQ a0, AX \ + MULQ 16+rb \ + ADDQ AX, R10 \ + ADCQ $0, DX \ + MOVQ DX, R11 \ + MOVQ a0, AX \ + MULQ 24+rb \ + ADDQ AX, R11 \ + ADCQ $0, DX \ + MOVQ DX, R12 \ + MOVQ a0, AX \ + MULQ 32+rb \ + ADDQ AX, R12 \ + ADCQ $0, DX \ + MOVQ DX, R13 \ + MOVQ a0, AX \ + MULQ 40+rb \ + ADDQ AX, R13 \ + ADCQ $0, DX \ + MOVQ DX, R14 \ + \ + storeBlock(R8,R9,R10,R11,R12,R13, 0+stack) \ + MOVQ R14, 48+stack \ + \ + \ // a1 + MOVQ a1, AX \ + MULQ 0+rb \ + MOVQ AX, R8 \ + MOVQ DX, R9 \ + MOVQ a1, AX \ + MULQ 8+rb \ + ADDQ AX, R9 \ + ADCQ $0, DX \ + MOVQ DX, R10 \ + MOVQ a1, AX \ + MULQ 16+rb \ + ADDQ AX, R10 \ + ADCQ $0, DX \ + MOVQ DX, R11 \ + MOVQ a1, AX \ + MULQ 24+rb \ + ADDQ AX, R11 \ + ADCQ $0, DX \ + MOVQ DX, R12 \ + MOVQ a1, AX \ + MULQ 32+rb \ + ADDQ AX, R12 \ + ADCQ $0, DX \ + MOVQ DX, R13 \ + MOVQ a1, AX \ + MULQ 40+rb \ + ADDQ AX, R13 \ + ADCQ $0, DX \ + MOVQ DX, R14 \ + \ + ADDQ 8+stack, R8 \ + ADCQ 16+stack, R9 \ + ADCQ 24+stack, R10 \ + ADCQ 32+stack, R11 \ + ADCQ 40+stack, R12 \ + ADCQ 48+stack, R13 \ + ADCQ $0, R14 \ + storeBlock(R8,R9,R10,R11,R12,R13, 8+stack) \ + MOVQ R14, 56+stack \ + \ + \ // a2 + MOVQ a2, AX \ + MULQ 0+rb \ + MOVQ AX, R8 \ + MOVQ DX, R9 \ + MOVQ a2, AX \ + MULQ 8+rb \ + ADDQ AX, R9 \ + ADCQ $0, DX \ + MOVQ DX, R10 \ + MOVQ a2, AX \ + MULQ 16+rb \ + ADDQ AX, R10 \ + ADCQ $0, DX \ + MOVQ DX, R11 \ + MOVQ a2, AX \ + MULQ 24+rb \ + ADDQ AX, R11 \ + ADCQ $0, DX \ + MOVQ DX, R12 \ + MOVQ a2, AX \ + MULQ 32+rb \ + ADDQ AX, R12 \ + ADCQ $0, DX \ + MOVQ DX, R13 \ + MOVQ a2, AX \ + MULQ 40+rb \ + ADDQ AX, R13 \ + ADCQ $0, DX \ + MOVQ DX, R14 \ + \ + ADDQ 16+stack, R8 \ + ADCQ 24+stack, R9 \ + ADCQ 32+stack, R10 \ + ADCQ 40+stack, R11 \ + ADCQ 48+stack, R12 \ + ADCQ 56+stack, R13 \ + ADCQ $0, R14 \ + storeBlock(R8,R9,R10,R11,R12,R13, 16+stack) \ + MOVQ R14, 64+stack \ + \ + \ // a3 + MOVQ a3, AX \ + MULQ 0+rb \ + MOVQ AX, R8 \ + MOVQ DX, R9 \ + MOVQ a3, AX \ + MULQ 8+rb \ + ADDQ AX, R9 \ + ADCQ $0, DX \ + MOVQ DX, R10 \ + MOVQ a3, AX \ + MULQ 16+rb \ + ADDQ AX, R10 \ + ADCQ $0, DX \ + MOVQ DX, R11 \ + MOVQ a3, AX \ + MULQ 24+rb \ + ADDQ AX, R11 \ + ADCQ $0, DX \ + MOVQ DX, R12 \ + MOVQ a3, AX \ + MULQ 32+rb \ + ADDQ AX, R12 \ + ADCQ $0, DX \ + MOVQ DX, R13 \ + MOVQ a3, AX \ + MULQ 40+rb \ + ADDQ AX, R13 \ + ADCQ $0, DX \ + MOVQ DX, R14 \ + \ + ADDQ 24+stack, R8 \ + ADCQ 32+stack, R9 \ + ADCQ 40+stack, R10 \ + ADCQ 48+stack, R11 \ + ADCQ 56+stack, R12 \ + ADCQ 64+stack, R13 \ + ADCQ $0, R14 \ + storeBlock(R8,R9,R10,R11,R12,R13, 24+stack) \ + MOVQ R14, 72+stack \ + \ + \ // a4 + MOVQ a4, AX \ + MULQ 0+rb \ + MOVQ AX, R8 \ + MOVQ DX, R9 \ + MOVQ a4, AX \ + MULQ 8+rb \ + ADDQ AX, R9 \ + ADCQ $0, DX \ + MOVQ DX, R10 \ + MOVQ a4, AX \ + MULQ 16+rb \ + ADDQ AX, R10 \ + ADCQ $0, DX \ + MOVQ DX, R11 \ + MOVQ a4, AX \ + MULQ 24+rb \ + ADDQ AX, R11 \ + ADCQ $0, DX \ + MOVQ DX, R12 \ + MOVQ a4, AX \ + MULQ 32+rb \ + ADDQ AX, R12 \ + ADCQ $0, DX \ + MOVQ DX, R13 \ + MOVQ a4, AX \ + MULQ 40+rb \ + ADDQ AX, R13 \ + ADCQ $0, DX \ + MOVQ DX, R14 \ + \ + ADDQ 32+stack, R8 \ + ADCQ 40+stack, R9 \ + ADCQ 48+stack, R10 \ + ADCQ 56+stack, R11 \ + ADCQ 64+stack, R12 \ + ADCQ 72+stack, R13 \ + ADCQ $0, R14 \ + storeBlock(R8,R9,R10,R11,R12,R13, 32+stack) \ + MOVQ R14, 80+stack \ + \ + \ // a5 + MOVQ a5, AX \ + MULQ 0+rb \ + MOVQ AX, R8 \ + MOVQ DX, R9 \ + MOVQ a5, AX \ + MULQ 8+rb \ + ADDQ AX, R9 \ + ADCQ $0, DX \ + MOVQ DX, R10 \ + MOVQ a5, AX \ + MULQ 16+rb \ + ADDQ AX, R10 \ + ADCQ $0, DX \ + MOVQ DX, R11 \ + MOVQ a5, AX \ + MULQ 24+rb \ + ADDQ AX, R11 \ + ADCQ $0, DX \ + MOVQ DX, R12 \ + MOVQ a5, AX \ + MULQ 32+rb \ + ADDQ AX, R12 \ + ADCQ $0, DX \ + MOVQ DX, R13 \ + MOVQ a5, AX \ + MULQ 40+rb \ + ADDQ AX, R13 \ + ADCQ $0, DX \ + MOVQ DX, R14 \ + \ + ADDQ 40+stack, R8 \ + ADCQ 48+stack, R9 \ + ADCQ 56+stack, R10 \ + ADCQ 64+stack, R11 \ + ADCQ 72+stack, R12 \ + ADCQ 80+stack, R13 \ + ADCQ $0, R14 \ + storeBlock(R8,R9,R10,R11,R12,R13, 40+stack) \ + MOVQ R14, 88+stack + +#define fp384Reduce(stack) \ + \ // m = (T * P') mod R, store m in R8:R9:R10:R11:R12:R13 + MOVQ ·pp+0(SB), AX \ + MULQ 0+stack \ + MOVQ AX, R8 \ + MOVQ DX, R9 \ + MOVQ ·pp+0(SB), AX \ + MULQ 8+stack \ + ADDQ AX, R9 \ + ADCQ $0, DX \ + MOVQ DX, R10 \ + MOVQ ·pp+0(SB), AX \ + MULQ 16+stack \ + ADDQ AX, R10 \ + ADCQ $0, DX \ + MOVQ DX, R11 \ + MOVQ ·pp+0(SB), AX \ + MULQ 24+stack \ + ADDQ AX, R11 \ + ADCQ $0, DX \ + MOVQ DX, R12 \ + MOVQ ·pp+0(SB), AX \ + MULQ 32+stack \ + ADDQ AX, R12 \ + ADCQ $0, DX \ + MOVQ DX, R13 \ + MOVQ ·pp+0(SB), AX \ + MULQ 40+stack \ + ADDQ AX, R13 \ + \ + ADDQ 0+stack, R9 \ + ADCQ 8+stack, R10 \ + ADCQ 16+stack, R11 \ + ADCQ 24+stack, R12 \ + ADCQ 32+stack, R13 \ + \ + MOVQ ·pp+16(SB), AX \ + MULQ 0+stack \ + MOVQ AX, R14 \ + MOVQ DX, R15 \ + MOVQ ·pp+16(SB), AX \ + MULQ 8+stack \ + ADDQ AX, R15 \ + ADCQ $0, DX \ + MOVQ DX, BX \ + MOVQ ·pp+16(SB), AX \ + MULQ 16+stack \ + ADDQ AX, BX \ + ADCQ $0, DX \ + MOVQ DX, CX \ + MOVQ ·pp+16(SB), AX \ + MULQ 24+stack \ + ADDQ AX, CX \ + \ + ADDQ R14, R10 \ + ADCQ R15, R11 \ + ADCQ BX, R12 \ + ADCQ CX, R13 \ + \ + MOVQ ·pp+24(SB), AX \ + MULQ 0+stack \ + MOVQ AX, R14 \ + MOVQ DX, R15 \ + MOVQ ·pp+24(SB), AX \ + MULQ 8+stack \ + ADDQ AX, R15 \ + ADCQ $0, DX \ + MOVQ DX, BX \ + MOVQ ·pp+24(SB), AX \ + MULQ 16+stack \ + ADDQ AX, BX \ + \ + ADDQ R14, R11 \ + ADCQ R15, R12 \ + ADCQ BX, R13 \ + \ + MOVQ ·pp+32(SB), AX \ + MULQ 0+stack \ + MOVQ AX, R14 \ + MOVQ DX, R15 \ + MOVQ ·pp+32(SB), AX \ + MULQ 8+stack \ + ADDQ AX, R15 \ + \ + ADDQ R14, R12 \ + ADCQ R15, R13 \ + \ + MOVQ ·pp+40(SB), AX \ + MULQ 0+stack \ + ADDQ AX, R13 \ + \ + storeBlock(R8,R9,R10,R11,R12,R13, 96+stack) \ + \ + \ // m * P + mul(·p+0(SB),·p+8(SB),·p+16(SB),·p+24(SB),·p+32(SB),·p+40(SB), 96+stack, 144+stack) \ + \ + \ // Add the 768-bit intermediate to m*N + MOVQ $0, DI \ + loadBlock(144+stack, R8,R9,R10,R11,R12,R13) \ + loadBlock(192+stack, R14,R15,AX,BX,CX,DX) \ + \ + ADDQ 0+stack, R8 \ + ADCQ 8+stack, R9 \ + ADCQ 16+stack, R10 \ + ADCQ 24+stack, R11 \ + ADCQ 32+stack, R12 \ + ADCQ 40+stack, R13 \ + ADCQ 48+stack, R14 \ + ADCQ 56+stack, R15 \ + ADCQ 64+stack, AX \ + ADCQ 72+stack, BX \ + ADCQ 80+stack, CX \ + ADCQ 88+stack, DX \ + ADCQ $0, DI \ + \ + fp384Carry(R14,R15,AX,BX,CX,DX,DI, R8,R9,R10,R11,R12,R13,SI) + +#define mulBMI2(a0,a1,a2,a3,a4,a5, rb, stack) \ + MOVQ a0, DX \ + MULXQ 0+rb, R8, R9 \ + MULXQ 8+rb, AX, R10 \ + ADDQ AX, R9 \ + MULXQ 16+rb, AX, R11 \ + ADCQ AX, R10 \ + MULXQ 24+rb, AX, R12 \ + ADCQ AX, R11 \ + MULXQ 32+rb, AX, R13 \ + ADCQ AX, R12 \ + MULXQ 40+rb, AX, R14 \ + ADCQ AX, R13 \ + ADCQ $0, R14 \ + \ + MOVQ R8, 0+stack \ + MOVQ $0, R15 \ + MOVQ $0, R8 \ + \ + MOVQ a1, DX \ + MULXQ 0+rb, AX, BX \ + ADDQ AX, R9 \ + ADCQ BX, R10 \ + MULXQ 16+rb, AX, BX \ + ADCQ AX, R11 \ + ADCQ BX, R12 \ + MULXQ 32+rb, AX, BX \ + ADCQ AX, R13 \ + ADCQ BX, R14 \ + ADCQ $0, R15 \ + MULXQ 8+rb, AX, BX \ + ADDQ AX, R10 \ + ADCQ BX, R11 \ + MULXQ 24+rb, AX, BX \ + ADCQ AX, R12 \ + ADCQ BX, R13 \ + MULXQ 40+rb, AX, BX \ + ADCQ AX, R14 \ + ADCQ BX, R15 \ + ADCQ $0, R8 \ + \ + MOVQ R9, 8+stack \ + MOVQ $0, R9 \ + \ + MOVQ a2, DX \ + MULXQ 0+rb, AX, BX \ + ADDQ AX, R10 \ + ADCQ BX, R11 \ + MULXQ 16+rb, AX, BX \ + ADCQ AX, R12 \ + ADCQ BX, R13 \ + MULXQ 32+rb, AX, BX \ + ADCQ AX, R14 \ + ADCQ BX, R15 \ + ADCQ $0, R8 \ + MULXQ 8+rb, AX, BX \ + ADDQ AX, R11 \ + ADCQ BX, R12 \ + MULXQ 24+rb, AX, BX \ + ADCQ AX, R13 \ + ADCQ BX, R14 \ + MULXQ 40+rb, AX, BX \ + ADCQ AX, R15 \ + ADCQ BX, R8 \ + ADCQ $0, R9 \ + \ + MOVQ R10, 16+stack \ + MOVQ $0, R10 \ + \ + MOVQ a3, DX \ + MULXQ 0+rb, AX, BX \ + ADDQ AX, R11 \ + ADCQ BX, R12 \ + MULXQ 16+rb, AX, BX \ + ADCQ AX, R13 \ + ADCQ BX, R14 \ + MULXQ 32+rb, AX, BX \ + ADCQ AX, R15 \ + ADCQ BX, R8 \ + ADCQ $0, R9 \ + MULXQ 8+rb, AX, BX \ + ADDQ AX, R12 \ + ADCQ BX, R13 \ + MULXQ 24+rb, AX, BX \ + ADCQ AX, R14 \ + ADCQ BX, R15 \ + MULXQ 40+rb, AX, BX \ + ADCQ AX, R8 \ + ADCQ BX, R9 \ + ADCQ $0, R10 \ + \ + MOVQ R11, 24+stack \ + MOVQ $0, R11 \ + \ + MOVQ a4, DX \ + MULXQ 0+rb, AX, BX \ + ADDQ AX, R12 \ + ADCQ BX, R13 \ + MULXQ 16+rb, AX, BX \ + ADCQ AX, R14 \ + ADCQ BX, R15 \ + MULXQ 32+rb, AX, BX \ + ADCQ AX, R8 \ + ADCQ BX, R9 \ + ADCQ $0, R10 \ + MULXQ 8+rb, AX, BX \ + ADDQ AX, R13 \ + ADCQ BX, R14 \ + MULXQ 24+rb, AX, BX \ + ADCQ AX, R15 \ + ADCQ BX, R8 \ + MULXQ 40+rb, AX, BX \ + ADCQ AX, R9 \ + ADCQ BX, R10 \ + ADCQ $0, R11 \ + \ + MOVQ R12, 32+stack \ + \ + MOVQ a5, DX \ + MULXQ 0+rb, AX, BX \ + ADDQ AX, R13 \ + ADCQ BX, R14 \ + MULXQ 16+rb, AX, BX \ + ADCQ AX, R15 \ + ADCQ BX, R8 \ + MULXQ 32+rb, AX, BX \ + ADCQ AX, R9 \ + ADCQ BX, R10 \ + ADCQ $0, R11 \ + MULXQ 8+rb, AX, BX \ + ADDQ AX, R14 \ + ADCQ BX, R15 \ + MULXQ 24+rb, AX, BX \ + ADCQ AX, R8 \ + ADCQ BX, R9 \ + MULXQ 40+rb, AX, BX \ + ADCQ AX, R10 \ + ADCQ BX, R11 \ + \ + MOVQ R13, 40+stack + +#define fp384ReduceBMI2(stack) \ + \ // m = (T * P') mod R, store m in R8:R9:R10:R11:R12:R13 + MOVQ ·pp+0(SB), DX \ + MULXQ 0+stack, R8, R9 \ + MULXQ 8+stack, AX, R10 \ + ADDQ AX, R9 \ + MULXQ 16+stack, AX, R11 \ + ADCQ AX, R10 \ + MULXQ 24+stack, AX, R12 \ + ADCQ AX, R11 \ + MULXQ 32+stack, AX, R13 \ + ADCQ AX, R12 \ + MULXQ 40+stack, AX, BX \ + ADCQ AX, R13 \ + \ + ADDQ 0+stack, R9 \ + ADCQ 8+stack, R10 \ + ADCQ 16+stack, R11 \ + ADCQ 24+stack, R12 \ + ADCQ 32+stack, R13 \ + \ + MOVQ ·pp+16(SB), DX \ + MULXQ 0+stack, AX, BX \ + ADDQ AX, R10 \ + ADCQ BX, R11 \ + MULXQ 16+stack, AX, BX \ + ADCQ AX, R12 \ + ADCQ BX, R13 \ + MULXQ 8+stack, AX, BX \ + ADDQ AX, R11 \ + ADCQ BX, R12 \ + MULXQ 24+stack, AX, BX \ + ADCQ AX, R13 \ + \ + MOVQ ·pp+24(SB), DX \ + MULXQ 0+stack, AX, BX \ + ADDQ AX, R11 \ + ADCQ BX, R12 \ + MULXQ 16+stack, AX, BX \ + ADCQ AX, R13 \ + MULXQ 8+stack, AX, BX \ + ADDQ AX, R12 \ + ADCQ BX, R13 \ + \ + MOVQ ·pp+32(SB), DX \ + MULXQ 0+stack, AX, BX \ + ADDQ AX, R12 \ + ADCQ BX, R13 \ + MULXQ 8+stack, AX, BX \ + ADDQ AX, R13 \ + \ + MOVQ ·pp+40(SB), DX \ + MULXQ 0+stack, AX, BX \ + ADDQ AX, R13 \ + \ + storeBlock(R8,R9,R10,R11,R12,R13, 96+stack) \ + \ + \ // m * P + mulBMI2(·p+0(SB),·p+8(SB),·p+16(SB),·p+24(SB),·p+32(SB),·p+40(SB), 96+stack, 144+stack) \ + \ + \ // Add the 768-bit intermediate to m*N + MOVQ $0, AX \ + loadBlock(144+stack, R12,R13,BX,CX,DX,DI) \ + \ + ADDQ 0+stack, R12 \ + ADCQ 8+stack, R13 \ + ADCQ 16+stack, BX \ + ADCQ 24+stack, CX \ + ADCQ 32+stack, DX \ + ADCQ 40+stack, DI \ + ADCQ 48+stack, R14 \ + ADCQ 56+stack, R15 \ + ADCQ 64+stack, R8 \ + ADCQ 72+stack, R9 \ + ADCQ 80+stack, R10 \ + ADCQ 88+stack, R11 \ + ADCQ $0, AX \ + \ + fp384Carry(R14,R15,R8,R9,R10,R11,AX, R12,R13,BX,CX,DX,DI,SI) + +TEXT ·fp384Neg(SB), NOSPLIT, $0-16 + MOVQ ·p+0(SB), R8 + MOVQ ·p+8(SB), R9 + MOVQ ·p+16(SB), R10 + MOVQ ·p+24(SB), R11 + MOVQ ·p+32(SB), R12 + MOVQ ·p+40(SB), R13 + + MOVQ a+8(FP), DI + SUBQ 0(DI), R8 + SBBQ 8(DI), R9 + SBBQ 16(DI), R10 + SBBQ 24(DI), R11 + SBBQ 32(DI), R12 + SBBQ 40(DI), R13 + + MOVQ $0, R14 + fp384Carry(R8,R9,R10,R11,R12,R13,R14, R15,AX,BX,CX,DX,DI,SI) + + MOVQ c+0(FP), DI + storeBlock(R8,R9,R10,R11,R12,R13, 0(DI)) + RET + +TEXT ·fp384Add(SB), NOSPLIT, $0-24 + MOVQ a+8(FP), DI + MOVQ b+16(FP), SI + + loadBlock(0(DI), R8,R9,R10,R11,R12,R13) + MOVQ $0, R14 + + ADDQ 0(SI), R8 + ADCQ 8(SI), R9 + ADCQ 16(SI), R10 + ADCQ 24(SI), R11 + ADCQ 32(SI), R12 + ADCQ 40(SI), R13 + ADCQ $0, R14 + + fp384Carry(R8,R9,R10,R11,R12,R13,R14, R15,AX,BX,CX,DX,DI,SI) + + MOVQ c+0(FP), DI + storeBlock(R8,R9,R10,R11,R12,R13, 0(DI)) + RET + +TEXT ·fp384Sub(SB), NOSPLIT, $0-24 + MOVQ ·p+0(SB), R8 + MOVQ ·p+8(SB), R9 + MOVQ ·p+16(SB), R10 + MOVQ ·p+24(SB), R11 + MOVQ ·p+32(SB), R12 + MOVQ ·p+40(SB), R13 + + MOVQ b+16(FP), DI + SUBQ 0(DI), R8 + SBBQ 8(DI), R9 + SBBQ 16(DI), R10 + SBBQ 24(DI), R11 + SBBQ 32(DI), R12 + SBBQ 40(DI), R13 + + MOVQ $0, R14 + MOVQ a+8(FP), DI + ADDQ 0(DI), R8 + ADCQ 8(DI), R9 + ADCQ 16(DI), R10 + ADCQ 24(DI), R11 + ADCQ 32(DI), R12 + ADCQ 40(DI), R13 + ADCQ $0, R14 + + fp384Carry(R8,R9,R10,R11,R12,R13,R14, R15,AX,BX,CX,DX,DI,SI) + + MOVQ c+0(FP), DI + storeBlock(R8,R9,R10,R11,R12,R13, 0(DI)) + RET + +TEXT ·fp384Mul(SB), NOSPLIT, $240-24 + MOVQ a+8(FP), DI + MOVQ b+16(FP), SI + + // Jump to a slightly different implementation if MULX isn't supported. + CMPB ·hasBMI2(SB), $0 + JE nobmi2Mul + + // T = a * b + mulBMI2(0(DI),8(DI),16(DI),24(DI),32(DI),40(DI), 0(SI), 0(SP)) + storeBlock(R14,R15,R8,R9,R10,R11, 48(SP)) + + // Reduce T. + fp384ReduceBMI2(0(SP)) + + MOVQ c+0(FP), DI + storeBlock(R14,R15,R8,R9,R10,R11, 0(DI)) + JMP end + +nobmi2Mul: + // T = a * b + mul(0(DI),8(DI),16(DI),24(DI),32(DI),40(DI), 0(SI), 0(SP)) + + // Reduce T. + fp384Reduce(0(SP)) + + MOVQ c+0(FP), DI + storeBlock(R14,R15,AX,BX,CX,DX, 0(DI)) + +end: + RET + +TEXT ·fp384Cmov(SB), NOSPLIT, $0 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + MOVQ b+16(FP), BX + TESTQ BX, BX + MOVQ 0(DI), AX; MOVQ 0(SI), DX; CMOVQNE DX, AX; MOVQ AX, 0(DI); + MOVQ 8(DI), AX; MOVQ 8(SI), DX; CMOVQNE DX, AX; MOVQ AX, 8(DI); + MOVQ 16(DI), AX; MOVQ 16(SI), DX; CMOVQNE DX, AX; MOVQ AX, 16(DI); + MOVQ 24(DI), AX; MOVQ 24(SI), DX; CMOVQNE DX, AX; MOVQ AX, 24(DI); + MOVQ 32(DI), AX; MOVQ 32(SI), DX; CMOVQNE DX, AX; MOVQ AX, 32(DI); + MOVQ 40(DI), AX; MOVQ 40(SI), DX; CMOVQNE DX, AX; MOVQ AX, 40(DI); + RET diff --git a/src/circl/ecc/p384/arith_arm64.s b/src/circl/ecc/p384/arith_arm64.s new file mode 100644 index 00000000000..2aa81e448a2 --- /dev/null +++ b/src/circl/ecc/p384/arith_arm64.s @@ -0,0 +1,511 @@ +// +build arm64 + +#include "textflag.h" + +TEXT ·fp384Cmov(SB), NOSPLIT, $0 + MOVD x+0(FP), R0 + MOVD y+8(FP), R1 + MOVW b+16(FP), R2 + CMP $0, R2 + LDP 0(R0), (R3, R5) + LDP 0(R1), (R4, R6) + CSEL NE,R4,R3,R7 + CSEL NE,R6,R5,R8 + STP (R7, R8), 0(R0) + LDP 16(R0), (R3, R5) + LDP 16(R1), (R4, R6) + CSEL NE,R4,R3,R7 + CSEL NE,R6,R5,R8 + STP (R7, R8), 16(R0) + LDP 32(R0), (R3, R5) + LDP 32(R1), (R4, R6) + CSEL NE,R4,R3,R7 + CSEL NE,R6,R5,R8 + STP (R7, R8), 32(R0) + RET + +// Compute c = -a mod p +TEXT ·fp384Neg(SB), NOSPLIT, $0-16 + MOVD c+0(FP), R0 + MOVD a+8(FP), R1 + + // Load p in R2-R7, a in R8-R13 + // Compute p-a in R8-R13 + LDP ·p+0(SB), (R2, R3) + LDP 0(R1), (R8, R9) + SUBS R8, R2, R8 + SBCS R9, R3, R9 + LDP ·p+16(SB), (R4, R5) + LDP 16(R1), (R10, R11) + SBCS R10, R4, R10 + SBCS R11, R5, R11 + LDP ·p+32(SB), (R6, R7) + LDP 32(R1), (R12, R13) + SBCS R12, R6, R12 + SBC R13, R7, R13 + + // Compute (p-a)-p in R2-R7 + SUBS R2, R8, R2 + SBCS R3, R9, R3 + SBCS R4, R10, R4 + SBCS R5, R11, R5 + SBCS R6, R12, R6 + SBCS R7, R13, R7 + + // If (p-a)-p < 0 (nearly always), return p-a + // Only return (p-a)-p for a = 0 + // Store result in c + CSEL CC, R8, R2, R2 + CSEL CC, R9, R3, R3 + STP (R2, R3), 0(R0) + CSEL CC, R10, R4, R4 + CSEL CC, R11, R5, R5 + STP (R4, R5), 16(R0) + CSEL CC, R12, R6, R6 + CSEL CC, R13, R7, R7 + STP (R6, R7), 32(R0) + + RET + +// Compute c = a+b mod p +TEXT ·fp384Add(SB), NOSPLIT, $0-24 + MOVD c+0(FP), R0 + MOVD a+8(FP), R1 + MOVD b+16(FP), R2 + + // Load a in R3-R8, b in R9-R14 + // Compute a+b in R3-R9 + LDP 0(R1), (R3, R4) + LDP 0(R2), (R9, R10) + ADDS R9, R3 + ADCS R10, R4 + LDP 16(R1), (R5, R6) + LDP 16(R2), (R11, R12) + ADCS R11, R5 + ADCS R12, R6 + LDP 32(R1), (R7, R8) + LDP 32(R2), (R13, R14) + ADCS R13, R7 + ADCS R14, R8 + ADC ZR, ZR, R9 + + // Load p in R10-R15 + LDP ·p+ 0(SB), (R10, R11) + LDP ·p+16(SB), (R12, R13) + LDP ·p+32(SB), (R14, R15) + + // Compute a+b-p in R10-R16 + SUBS R10, R3, R10 + SBCS R11, R4, R11 + SBCS R12, R5, R12 + SBCS R13, R6, R13 + SBCS R14, R7, R14 + SBCS R15, R8, R15 + SBCS ZR, R9, R16 + + // If a+b-p is negative, return a+b + // Store result in c + CSEL CC, R3, R10, R3 + CSEL CC, R4, R11, R4 + STP (R3, R4), 0(R0) + CSEL CC, R5, R12, R5 + CSEL CC, R6, R13, R6 + STP (R5, R6), 16(R0) + CSEL CC, R7, R14, R7 + CSEL CC, R8, R15, R8 + STP (R7, R8), 32(R0) + + RET + +// Compute c = a-b mod p +TEXT ·fp384Sub(SB), NOSPLIT, $0-24 + MOVD c+0(FP), R0 + MOVD a+8(FP), R1 + MOVD b+16(FP), R2 + + // Load a in R3-R8, b in R9-R14 + // Compute a-b in R3-R9 + LDP 0(R1), (R3, R4) + LDP 0(R2), (R9, R10) + SUBS R9, R3 + SBCS R10, R4 + LDP 16(R1), (R5, R6) + LDP 16(R2), (R11, R12) + SBCS R11, R5 + SBCS R12, R6 + LDP 32(R1), (R7, R8) + LDP 32(R2), (R13, R14) + SBCS R13, R7 + SBCS R14, R8 + SBC ZR, ZR, R9 + + // Load p in R10-R15 + // If a-b < 0, (a-b)+p to R3-R8 + // Store result in c + LDP ·p+ 0(SB), (R10, R11) + AND R9, R10 + LDP ·p+16(SB), (R12, R13) + AND R9, R11 + AND R9, R12 + LDP ·p+32(SB), (R14, R15) + AND R9, R13 + AND R9, R14 + AND R9, R15 + + ADDS R10, R3 + ADCS R11, R4 + STP (R3, R4), 0(R0) + ADCS R12, R5 + ADCS R13, R6 + STP (R5, R6), 16(R0) + ADCS R14, R7 + ADC R15, R8 + STP (R7, R8), 32(R0) + + RET + +// Expects that A0*B0 is already in C0(low),C3(high) and A0*B1 in C1(low),C2(high) +// C0 is not actually touched +// Result of (A0-A2) * (B0-B2) will be in C0-C5 +// Inputs remain intact +#define mul192x192comba(A0,A1,A2, B0,B1,B2, C0,C1,C2,C3,C4,C5, S0,S1,S2,S3) \ + MUL A1, B0, S2 \ + UMULH A1, B0, S3 \ + \ + ADDS C3, C1 \ + ADCS ZR, C2 \ + ADC ZR, ZR, C3 \ + \ + MUL A0, B2, S0 \ + UMULH A0, B2, S1 \ + \ + ADDS S2, C1 \ + ADCS S3, C2 \ + ADC ZR, C3 \ + \ + MUL A1, B1, S2 \ + UMULH A1, B1, S3 \ + \ + ADDS S0, C2 \ + ADCS S1, C3 \ + ADC ZR, ZR, C4 \ + \ + MUL A2, B0, S0 \ + UMULH A2, B0, S1 \ + \ + ADDS S2, C2 \ + ADCS S3, C3 \ + ADC ZR, C4 \ + \ + MUL A1, B2, S2 \ + UMULH A1, B2, S3 \ + \ + ADDS S0, C2 \ + ADCS S1, C3 \ + ADC ZR, C4 \ + \ + MUL A2, B1, S0 \ + UMULH A2, B1, S1 \ + \ + ADDS S2, C3 \ + ADCS S3, C4 \ + ADC ZR, ZR, C5 \ + \ + MUL A2, B2, S2 \ + UMULH A2, B2, S3 \ + \ + ADDS S0, C3 \ + ADCS S1, C4 \ + ADC ZR, C5 \ + \ + ADDS S2, C4 \ + ADC S3, C5 + + +// Assumes that there are at least 96 bytes left on the stack +// Expects that X and Y point to input +// X and Y get overwritten, Z0 will be in Y +#define mul384x384karatsuba(X,Y, Z1,Z2,Z3,Z4,Z5,Z6,Z7,Z8,Z9,Z10,Z11, T0,T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,T11,T12) \ + /* Load a in Z1-Z6, b in T12,Z7-Z11 */ \ + LDP 0(X), ( Z1, Z2) \ + LDP 0(Y), (T12, Z7) \ + MUL Z1, Z7, T1 \ + UMULH Z1, T12, T3 \ + LDP 16(X), ( Z3, Z4) \ + LDP 16(Y), ( Z8, Z9) \ + MUL Z1, T12, T0 \ + UMULH Z1, Z7, T2 \ + LDP 32(X), ( Z5, Z6) \ + LDP 32(Y), (Z10, Z11) \ + \ + /* Compute aL*bL in T0-T5 */ \ + mul192x192comba(Z1,Z2,Z3, T12,Z7,Z8, T0,T1,T2,T3,T4,T5, T6,T7,T8,T9) \ + \ + /* Compute aH*bH in T6-T11, destroys aL and bL */ \ + MUL Z4, Z10, T7 \ + MUL Z4, Z9, T6 \ + UMULH Z4, Z9, T9 \ + UMULH Z4, Z10, T8 \ + mul192x192comba(Z4,Z5,Z6, Z9,Z10,Z11, T6,T7,T8,T9,T10,T11, Z1,Z2,T12,Z7) \ + \ + /* Compute aL*bL + aH*bH in Z1-Z6,T12, destroys aH */ \ + ADDS T0, T6, Z1 \ + ADCS T1, T7, Z2 \ + ADCS T2, T8, Z3 \ + ADCS T3, T9, Z4 \ + ADCS T4, T10, Z5 \ + ADCS T5, T11, Z6 \ + ADC ZR, ZR, T12 \ + \ + /* Add to T0-T11 and store on stack */ \ + STP ( T0, T1), -16(RSP) \ + ADDS Z1, T3 \ + STP ( T2, T3), -32(RSP) \ + ADCS Z2, T4 \ + ADCS Z3, T5 \ + STP ( T4, T5), -48(RSP) \ + ADCS Z4, T6 \ + ADCS Z5, T7 \ + STP ( T6, T7), -64(RSP) \ + ADCS Z6, T8 \ + ADC ZR, T12 \ + STP ( T8, T9), -80(RSP) \ + STP (T10, T11), -96(RSP) \ + \ + /* Load a to Z1-Z6 */ \ + LDP 0(X), (Z1, Z2) \ + LDP 16(X), (Z3, Z4) \ + LDP 32(X), (Z5, Z6) \ + \ + /* Compute |aL-aH| to Z1-Z3, keep borrow in X */ \ + SUBS Z4, Z1 \ + SBCS Z5, Z2 \ + SBCS Z6, Z3 \ + SBC ZR, ZR, X \ + NEGS Z1, Z4 \ + NGCS Z2, Z5 \ + NGC Z3, Z6 \ + ADDS $1, X \ + \ + /* Load b to Z7-Z11,T0 */ \ + LDP 0(Y), ( Z7, Z8) \ + LDP 16(Y), ( Z9, Z10) \ + LDP 32(Y), (Z11, T0) \ + \ + CSEL EQ, Z4, Z1, Z1 \ + CSEL EQ, Z5, Z2 ,Z2 \ + CSEL EQ, Z6, Z3, Z3 \ + \ + /* Compute |bH-bL| to Z7-Z9, keep borrow in Y */ \ + SUBS Z7, Z10 \ + SBCS Z8, Z11 \ + SBCS Z9, T0 \ + SBC ZR, ZR, Y \ + NEGS Z10, Z7 \ + NGCS Z11, Z8 \ + NGC T0, Z9 \ + ADDS $1, Y \ + CSEL EQ, Z7, Z10, Z7 \ + CSEL EQ, Z8, Z11, Z8 \ + CSEL EQ, Z9, T0, Z9 \ + \ + /* Combine borrows */ \ + EOR Y, X \ + \ + /* Compute |aL-aH|*|bH-bL| to Z10,Z11,T0-T3 */ \ + MUL Z1, Z8, Z11 \ + MUL Z1, Z7, Z10 \ + UMULH Z1, Z8, T0 \ + UMULH Z1, Z7, T1 \ + mul192x192comba(Z1,Z2,Z3, Z7,Z8,Z9, Z10,Z11,T0,T1,T2,T3, T4,T5,T6,T7) \ + \ + /* The result has to be negated if exactly one of the operands was negative */ \ + NEGS Z10, Y \ + NGCS Z11, Z1 \ + NGCS T0, Z2 \ + NGCS T1, Z3 \ + NGCS T2, Z4 \ + NGCS T3, Z5 \ + NGC ZR, T4 \ + \ + AND T4, X \ + CMP $1, X \ + CSEL EQ, Y, Z10, Z10 \ + CSEL EQ, Z1, Z11, Z11 \ + CSEL EQ, Z2, T0, T0 \ + CSEL EQ, Z3, T1, T1 \ + CSEL EQ, Z4, T2, T2 \ + CSEL EQ, Z5, T3, T3 \ + \ + /* Add that to the middle part */ \ + LDP -16(RSP), ( Y, Z1) \ + LDP -32(RSP), ( Z2, Z3) \ + LDP -48(RSP), ( Z4, Z5) \ + ADDS Z10, Z3 \ + ADCS Z11, Z4 \ + LDP -64(RSP), ( Z6, Z7) \ + ADCS T0, Z5 \ + ADCS T1, Z6 \ + LDP -80(RSP), ( Z8, Z9) \ + ADCS T2, Z7 \ + ADCS T3, Z8 \ + LDP -96(RSP), (Z10, Z11) \ + ADCS T12, Z9 \ + ADCS ZR, Z10 \ + ADC ZR, Z11 \ + SUBS X, Z9 \ + SBCS ZR, Z10 \ + SBC ZR, Z11 + +// Compute c = a*b*R^-1 mod p +TEXT ·fp384Mul(SB), NOSPLIT, $200-24 + MOVD c+0(FP), R0 + MOVD a+8(FP), R1 + MOVD b+16(FP), R2 + + // Compute a*b in R2-R13 + mul384x384karatsuba(R1, R2, R3,R4,R5,R6,R7,R8,R9,R10,R11,R12,R13, R14,R15,R16,R17,R19,R20,R21,R22,R23,R24,R25,R26,R27) + + // Store a*b on the stack + STP ( R2, R3), -112(RSP) + STP ( R4, R5), -128(RSP) + STP ( R6, R7), -144(RSP) + STP ( R8, R9), -160(RSP) + STP (R10, R11), -176(RSP) + STP (R12, R13), -192(RSP) + + // Compute m = a*b*pp mod 2^384 in R19-R24 + // Store it temporarily in c + MOVD ·pp+0(SB), R14 + MUL R14, R2, R19 + UMULH R14, R2, R20 + + MUL R14, R3, R16 + UMULH R14, R3, R21 + ADDS R16, R20 + ADC ZR, R21 + + MUL R14, R4, R16 + UMULH R14, R4, R22 + ADDS R16, R21 + ADC ZR, R22 + + MUL R14, R5, R16 + UMULH R14, R5, R23 + ADDS R16, R22 + ADC ZR, R23 + + MUL R14, R6, R16 + UMULH R14, R6, R24 + ADDS R16, R23 + ADC ZR, R24 + + MADD R14, R24, R7, R24 + + // ·pp+8(SB) = 1, so we can just add + ADDS R2, R20 + STP (R19, R20), 0(R0) + ADCS R3, R21 + ADCS R4, R22 + ADCS R5, R23 + ADC R6, R24 + + LDP ·pp+16(SB), (R14, R15) + MUL R14, R2, R8 + UMULH R14, R2, R9 + + MUL R14, R3, R16 + UMULH R14, R3, R10 + ADDS R16, R9 + ADC ZR, R10 + + MUL R14, R4, R16 + UMULH R14, R4, R11 + ADDS R16, R10 + ADC ZR, R11 + + MUL R14, R5, R16 + ADD R16, R11 + + ADDS R8, R21 + ADCS R9, R22 + ADCS R10, R23 + ADC R11, R24 + + MUL R15, R2, R8 + UMULH R15, R2, R9 + + MUL R15, R3, R16 + UMULH R15, R3, R10 + ADDS R16, R9 + ADC ZR, R10 + + MADD R15, R10, R4, R10 + + ADDS R8, R22 + STP (R21, R22), 16(R0) + ADCS R9, R23 + ADC R10, R24 + + LDP ·pp+32(SB), (R14, R15) + MUL R14, R2, R8 + UMULH R14, R2, R9 + + MADD R14, R9, R3, R9 + + ADDS R8, R23 + ADC R9, R24 + + MADD R15, R24, R2, R24 + STP (R23, R24), 32(R0) + + // Compute m*p in R1-R12 + MOVD $·p(SB), R1 + mul384x384karatsuba(R0, R1, R2,R3,R4,R5,R6,R7,R8,R9,R10,R11,R12, R13,R14,R15,R16,R17,R19,R20,R21,R22,R23,R24,R25,R26) + + // Add a*b to m*p in R1-R12,R26 + LDP -112(RSP), (R13, R14) + ADDS R13, R1 + LDP -128(RSP), (R15, R16) + ADCS R14, R2 + ADCS R15, R3 + LDP -144(RSP), (R17, R19) + ADCS R16, R4 + ADCS R17, R5 + LDP -160(RSP), (R20, R21) + ADCS R19, R6 + ADCS R20, R7 + LDP -176(RSP), (R22, R23) + ADCS R21, R8 + ADCS R22, R9 + LDP -192(RSP), (R24, R25) + ADCS R23, R10 + ADCS R24, R11 + ADCS R25, R12 + ADC ZR, ZR, R26 + + // Reduce the top half mod p + LDP ·p+ 0(SB), (R13, R14) + SUBS R13, R7, R13 + LDP ·p+16(SB), (R15, R16) + SBCS R14, R8, R14 + SBCS R15, R9, R15 + LDP ·p+32(SB), (R17, R19) + SBCS R16, R10, R16 + SBCS R17, R11, R17 + SBCS R19, R12, R19 + SBCS ZR, R26 + + // Store result in c + MOVD c+0(FP), R0 + CSEL CC, R7, R13, R7 + CSEL CC, R8, R14, R8 + STP ( R7, R8), 0(R0) + CSEL CC, R9, R15, R9 + CSEL CC, R10, R16, R10 + STP ( R9, R10), 16(R0) + CSEL CC, R11, R17, R11 + CSEL CC, R12, R19, R12 + STP (R11, R12), 32(R0) + + RET diff --git a/src/circl/ecc/p384/arith_test.go b/src/circl/ecc/p384/arith_test.go new file mode 100644 index 00000000000..51396594d3d --- /dev/null +++ b/src/circl/ecc/p384/arith_test.go @@ -0,0 +1,237 @@ +// +build arm64 amd64 + +package p384 + +import ( + "crypto/elliptic" + "crypto/rand" + "math/big" + "testing" + + "circl/internal/test" +) + +func TestFpCmov(t *testing.T) { + var x, y, z fp384 + for _, b := range []int{-2, -1, 1, 2} { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + z = x + fp384Cmov(&z, &y, b) + got := z + want := y + if got != want { + test.ReportError(t, got, want, b, x, y) + } + } + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + z = x + fp384Cmov(&z, &y, 0) + got := z + want := x + if got != want { + test.ReportError(t, got, want, 0, x, y) + } +} + +func TestFpNegZero(t *testing.T) { + zero, x := &fp384{}, &fp384{} + fp384Neg(x, zero) + got := x.BigInt() + want := zero.BigInt() + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } +} + +func TestFpSetBigInt(t *testing.T) { + P := elliptic.P384().Params().P + + neg := big.NewInt(-0xFF) // negative + zero := big.NewInt(0) // zero + one := big.NewInt(1) // one + two96 := new(big.Int).Lsh(one, 96) // 2^96 + two384 := new(big.Int).Lsh(one, 384) // 2^384 + two384two96 := new(big.Int).Sub(two384, two96) // 2^384-2^96 + two768 := new(big.Int).Lsh(one, 768) // 2^768 + + for id, b := range []*big.Int{ + neg, zero, one, two96, two384, two384two96, two768} { + var x fp384 + x.SetBigInt(b) + got := x.BigInt() + if b.BitLen() > 384 || b.Sign() < 0 { + b.Mod(b, P) + } + want := b + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, id) + } + } +} + +func TestMulZero(t *testing.T) { + x, zero := &fp384{}, &fp384{} + _, _ = rand.Read(x[:]) + + fp384Mul(x, x, zero) + got := x.BigInt() + want := zero.BigInt() + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } +} + +func TestFp(t *testing.T) { + P := elliptic.P384().Params().P + x, y, z := &fp384{}, &fp384{}, &fp384{} + testTimes := 1 << 12 + var bigR, bigR2, bigRinv big.Int + one := big.NewInt(1) + bigR.Lsh(one, 384).Mod(&bigR, P) + bigR2.Lsh(one, 2*384).Mod(&bigR2, P) + bigRinv.ModInverse(&bigR, P) + + t.Run("Encode", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + bigX := x.BigInt() + // fp384 + montEncode(z, x) + got := z.BigInt() + // big.Int + want := bigX.Mul(bigX, &bigR).Mod(bigX, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } + }) + t.Run("Decode", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + bigX := x.BigInt() + // fp384 + montDecode(z, x) + got := z.BigInt() + // big.Int + want := bigX.Mul(bigX, new(big.Int).ModInverse(&bigR, P)).Mod(bigX, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } + }) + t.Run("Neg", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + bigX := x.BigInt() + // fp384 + fp384Neg(z, x) + got := z.BigInt() + // big.Int + want := bigX.Neg(bigX).Mod(bigX, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } + }) + t.Run("Add", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + bigX := x.BigInt() + bigY := y.BigInt() + // fp384 + fp384Add(z, x, y) + got := z.BigInt() + // big.Int + want := bigX.Add(bigX, bigY) + want = want.Mod(want, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } + }) + t.Run("Sub", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + bigX := x.BigInt() + bigY := y.BigInt() + // fp384 + fp384Sub(z, x, y) + got := z.BigInt() + // big.Int + want := bigX.Sub(bigX, bigY) + want = want.Mod(want, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } + }) + t.Run("Mul", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + bigX := x.BigInt() + bigY := y.BigInt() + // fp384 + fp384Mul(z, x, y) + got := z.BigInt() + // big.Int + want := bigX.Mul(bigX, bigY).Mul(bigX, &bigRinv).Mod(bigX, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } + }) + t.Run("Inv", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(x[:]) + bigX := x.BigInt() + // fp384 + fp384Inv(z, x) + got := z.BigInt() + // big.Int + want := bigX.ModInverse(bigX, P).Mul(bigX, &bigR2).Mod(bigX, P) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } + }) +} + +func BenchmarkFp(b *testing.B) { + x, y, z := &fp384{}, &fp384{}, &fp384{} + + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fp384Add(z, x, y) + } + }) + + b.Run("Sub", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fp384Sub(z, x, y) + } + }) + + b.Run("Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fp384Mul(z, x, y) + } + }) + + b.Run("Sqr", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fp384Sqr(z, x) + } + }) + + b.Run("Inv", func(b *testing.B) { + for i := 0; i < b.N; i++ { + fp384Inv(z, x) + } + }) +} diff --git a/src/circl/ecc/p384/doc.go b/src/circl/ecc/p384/doc.go new file mode 100644 index 00000000000..05a813a2b69 --- /dev/null +++ b/src/circl/ecc/p384/doc.go @@ -0,0 +1,11 @@ +// Package p384 provides optimized elliptic curve operations on the P-384 curve. +// +// These are some improvements over crypto/elliptic package: +// - Around 10x faster in amd64 architecture. +// - Reduced number of memory allocations. +// - Native support for arm64 architecture. +// - ScalarMult is performed using a constant-time algorithm. +// - ScalarBaseMult fallbacks into ScalarMult. +// - A new method included for double-point multiplication. +// +package p384 diff --git a/src/circl/ecc/p384/p384.go b/src/circl/ecc/p384/p384.go new file mode 100644 index 00000000000..0e8c0f7afe3 --- /dev/null +++ b/src/circl/ecc/p384/p384.go @@ -0,0 +1,210 @@ +// +build arm64 amd64 + +package p384 + +import ( + "crypto/elliptic" + "crypto/subtle" + "math/big" + + "circl/math" +) + +// Curve is used to provide the extended functionality and performance of +// elliptic.Curve interface. +type Curve interface { + elliptic.Curve + // IsAtInfinity returns True is the point is the identity point. + IsAtInfinity(X, Y *big.Int) bool + // CombinedMult calculates P=mG+nQ, where G is the generator and + // Q=(Qx,Qy). The scalars m and n are positive integers in big-endian form. + // Runs in non-constant time to be used in signature verification. + CombinedMult(Qx, Qy *big.Int, m, n []byte) (Px, Py *big.Int) +} + +type curve struct{} + +// P384 returns a Curve which implements P-384 (see FIPS 186-3, section D.2.4). +func P384() Curve { return curve{} } + +// Params returns the parameters for the curve. Note: The value returned by +// this function fallbacks to the stdlib implementation of elliptic curve +// operations. Use this method to only recover elliptic curve parameters. +func (c curve) Params() *elliptic.CurveParams { return elliptic.P384().Params() } + +// IsAtInfinity returns True is the point is the identity point. +func (c curve) IsAtInfinity(x, y *big.Int) bool { + return x.Sign() == 0 && y.Sign() == 0 +} + +// IsOnCurve reports whether the given (x,y) lies on the curve. +func (c curve) IsOnCurve(x, y *big.Int) bool { + x1, y1 := &fp384{}, &fp384{} + x1.SetBigInt(x) + y1.SetBigInt(y) + montEncode(x1, x1) + montEncode(y1, y1) + + y2, x3 := &fp384{}, &fp384{} + fp384Sqr(y2, y1) + fp384Sqr(x3, x1) + fp384Mul(x3, x3, x1) + + threeX := &fp384{} + fp384Add(threeX, x1, x1) + fp384Add(threeX, threeX, x1) + + fp384Sub(x3, x3, threeX) + fp384Add(x3, x3, &bb) + + return *y2 == *x3 +} + +// Add returns the sum of (x1,y1) and (x2,y2). +func (c curve) Add(x1, y1, x2, y2 *big.Int) (x, y *big.Int) { + P := newAffinePoint(x1, y1).toJacobian() + P.mixadd(P, newAffinePoint(x2, y2)) + return P.toAffine().toInt() +} + +// Double returns 2*(x,y). +func (c curve) Double(x1, y1 *big.Int) (x, y *big.Int) { + P := newAffinePoint(x1, y1).toJacobian() + P.double() + return P.toAffine().toInt() +} + +// reduceScalar shorten a scalar modulo the order of the curve. +func (c curve) reduceScalar(k []byte) []byte { + const max = sizeFp + if len(k) > max { + bigK := new(big.Int).SetBytes(k) + bigK.Mod(bigK, c.Params().N) + k = bigK.Bytes() + } + if len(k) < max { + k = append(make([]byte, max-len(k)), k...) + } + return k +} + +// toOdd performs k = (-k mod N) if k is even. +func (c curve) toOdd(k []byte) ([]byte, int) { + var X, Y big.Int + X.SetBytes(k) + Y.Neg(&X).Mod(&Y, c.Params().N) + isEven := 1 - int(X.Bit(0)) + x := X.Bytes() + y := Y.Bytes() + + if len(x) < len(y) { + x = append(make([]byte, len(y)-len(x)), x...) + } else if len(x) > len(y) { + y = append(make([]byte, len(x)-len(y)), y...) + } + subtle.ConstantTimeCopy(isEven, x, y) + return x, isEven +} + +// ScalarMult returns (Qx,Qy)=k*(Px,Py) where k is a number in big-endian form. +func (c curve) ScalarMult(x1, y1 *big.Int, k []byte) (x, y *big.Int) { + return c.scalarMultOmega(x1, y1, k, 5) +} + +func (c curve) scalarMultOmega(x1, y1 *big.Int, k []byte, omega uint) (x, y *big.Int) { + k = c.reduceScalar(k) + oddK, isEvenK := c.toOdd(k) + + var scalar big.Int + scalar.SetBytes(oddK) + if scalar.Sign() == 0 { + return new(big.Int), new(big.Int) + } + const bitsN = uint(384) + L := math.SignedDigit(&scalar, omega, bitsN) + + var R jacobianPoint + Q := zeroPoint().toJacobian() + TabP := newAffinePoint(x1, y1).oddMultiples(omega) + for i := len(L) - 1; i > 0; i-- { + for j := uint(0); j < omega-1; j++ { + Q.double() + } + idx := absolute(L[i]) >> 1 + for j := range TabP { + R.cmov(&TabP[j], subtle.ConstantTimeEq(int32(j), idx)) + } + R.cneg(int(L[i]>>31) & 1) + Q.add(Q, &R) + } + // Calculate the last iteration using complete addition formula. + for j := uint(0); j < omega-1; j++ { + Q.double() + } + idx := absolute(L[0]) >> 1 + for j := range TabP { + R.cmov(&TabP[j], subtle.ConstantTimeEq(int32(j), idx)) + } + R.cneg(int(L[0]>>31) & 1) + QQ := Q.toProjective() + QQ.completeAdd(QQ, R.toProjective()) + QQ.cneg(isEvenK) + return QQ.toAffine().toInt() +} + +// ScalarBaseMult returns k*G, where G is the base point of the group +// and k is an integer in big-endian form. +func (c curve) ScalarBaseMult(k []byte) (x, y *big.Int) { + params := c.Params() + return c.ScalarMult(params.Gx, params.Gy, k) +} + +// CombinedMult calculates P=mG+nQ, where G is the generator and Q=(x,y,z). +// The scalars m and n are integers in big-endian form. Non-constant time. +func (c curve) CombinedMult(xQ, yQ *big.Int, m, n []byte) (xP, yP *big.Int) { + const nOmega = uint(5) + var k big.Int + k.SetBytes(m) + nafM := math.OmegaNAF(&k, baseOmega) + k.SetBytes(n) + nafN := math.OmegaNAF(&k, nOmega) + + if len(nafM) > len(nafN) { + nafN = append(nafN, make([]int32, len(nafM)-len(nafN))...) + } else if len(nafM) < len(nafN) { + nafM = append(nafM, make([]int32, len(nafN)-len(nafM))...) + } + + TabQ := newAffinePoint(xQ, yQ).oddMultiples(nOmega) + var jR jacobianPoint + var aR affinePoint + P := zeroPoint().toJacobian() + for i := len(nafN) - 1; i >= 0; i-- { + P.double() + // Generator point + if nafM[i] != 0 { + idxM := absolute(nafM[i]) >> 1 + aR = baseOddMultiples[idxM] + if nafM[i] < 0 { + aR.neg() + } + P.mixadd(P, &aR) + } + // Input point + if nafN[i] != 0 { + idxN := absolute(nafN[i]) >> 1 + jR = TabQ[idxN] + if nafN[i] < 0 { + jR.neg() + } + P.add(P, &jR) + } + } + return P.toAffine().toInt() +} + +// absolute returns always a positive value. +func absolute(x int32) int32 { + mask := x >> 31 + return (x + mask) ^ mask +} diff --git a/src/circl/ecc/p384/p384_test.go b/src/circl/ecc/p384/p384_test.go new file mode 100644 index 00000000000..4ba27dc1591 --- /dev/null +++ b/src/circl/ecc/p384/p384_test.go @@ -0,0 +1,277 @@ +// +build arm64 amd64 + +package p384 + +import ( + "crypto/elliptic" + "crypto/rand" + "math/big" + "testing" + + "circl/internal/test" +) + +func TestIsOnCurveTrue(t *testing.T) { + CirclCurve := P384() + k := make([]byte, 384/8) + for i := 0; i < 128; i++ { + _, _ = rand.Read(k) + x, y := elliptic.P384().ScalarBaseMult(k) + + got := CirclCurve.IsOnCurve(x, y) + want := true + if got != want { + test.ReportError(t, got, want, k) + } + + x = x.Neg(x) + got = CirclCurve.IsOnCurve(x, y) + want = false + if got != want { + test.ReportError(t, got, want, k) + } + } +} + +func TestAffine(t *testing.T) { + const testTimes = 1 << 7 + CirclCurve := P384() + StdCurve := elliptic.P384() + params := StdCurve.Params() + + t.Run("Addition", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + K1, _ := rand.Int(rand.Reader, params.N) + K2, _ := rand.Int(rand.Reader, params.N) + X1, Y1 := StdCurve.ScalarBaseMult(K1.Bytes()) + X2, Y2 := StdCurve.ScalarBaseMult(K2.Bytes()) + wantX, wantY := StdCurve.Add(X1, Y1, X2, Y2) + gotX, gotY := CirclCurve.Add(X1, Y1, X2, Y2) + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, K1, K2) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) + + t.Run("Double", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + k, _ := rand.Int(rand.Reader, params.N) + x, y := StdCurve.ScalarBaseMult(k.Bytes()) + wantX, wantY := StdCurve.Double(x, y) + + gotX, gotY := CirclCurve.Double(x, y) + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, k) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) +} + +func TestScalarMult(t *testing.T) { + const testTimes = 1 << 7 + CirclCurve := P384() + StdCurve := elliptic.P384() + params := StdCurve.Params() + + t.Run("toOdd", func(t *testing.T) { + var c curve + k := []byte{0xF0} + oddK, _ := c.toOdd(k) + got := len(oddK) + want := 48 + if got != want { + test.ReportError(t, got, want) + } + + oddK[sizeFp-1] = 0x0 + smallOddK, _ := c.toOdd(oddK) + got = len(smallOddK) + want = 48 + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("k=0", func(t *testing.T) { + k := []byte{0x0} + gotX, gotY := CirclCurve.ScalarMult(params.Gx, params.Gy, k) + got := CirclCurve.IsAtInfinity(gotX, gotY) + want := true + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("special k", func(t *testing.T) { + cases := []struct { // known cases that require complete addition + w uint + k int + }{ + {w: 2, k: 2}, + {w: 5, k: 6}, + {w: 6, k: 38}, + {w: 7, k: 102}, + {w: 9, k: 230}, + {w: 12, k: 742}, + {w: 14, k: 4838}, + {w: 17, k: 21222}, + {w: 19, k: 152294}, + } + + var c curve + + for _, caseI := range cases { + k := big.NewInt(int64(caseI.k)).Bytes() + gotX, gotY := c.scalarMultOmega(params.Gx, params.Gy, k, caseI.w) + wantX, wantY := StdCurve.ScalarMult(params.Gx, params.Gy, k) + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, caseI) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, caseI) + } + } + }) + + t.Run("random k", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + k, _ := rand.Int(rand.Reader, params.N) + gotX, gotY := CirclCurve.ScalarMult(params.Gx, params.Gy, k.Bytes()) + wantX, wantY := StdCurve.ScalarMult(params.Gx, params.Gy, k.Bytes()) + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, k) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) + + t.Run("wrong P", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + k, _ := rand.Int(rand.Reader, params.N) + x, _ := rand.Int(rand.Reader, params.P) + y, _ := rand.Int(rand.Reader, params.P) + + got := CirclCurve.IsOnCurve(CirclCurve.ScalarMult(x, y, k.Bytes())) + want := StdCurve.IsOnCurve(StdCurve.ScalarMult(x, y, k.Bytes())) + + if got != want { + test.ReportError(t, got, want, k, x, y) + } + } + }) +} + +func TestScalarBaseMult(t *testing.T) { + const testTimes = 1 << 7 + CirclCurve := P384() + StdCurve := elliptic.P384() + + t.Run("0P", func(t *testing.T) { + k := make([]byte, 500) + for i := 0; i < len(k); i += 20 { + gotX, gotY := CirclCurve.ScalarBaseMult(k[:i]) + wantX, wantY := StdCurve.ScalarBaseMult(k[:i]) + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, k[:i]) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) + + t.Run("kP", func(t *testing.T) { + k := make([]byte, 48) + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k) + gotX, gotY := CirclCurve.ScalarBaseMult(k) + wantX, wantY := StdCurve.ScalarBaseMult(k) + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, k) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) + + t.Run("kSmall", func(t *testing.T) { + k := make([]byte, 16) + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k) + gotX, gotY := CirclCurve.ScalarBaseMult(k) + wantX, wantY := StdCurve.ScalarBaseMult(k) + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, k) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) + + t.Run("kLarge", func(t *testing.T) { + k := make([]byte, 384) + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k) + gotX, gotY := CirclCurve.ScalarBaseMult(k) + wantX, wantY := StdCurve.ScalarBaseMult(k) + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, k) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) +} + +func TestCombinedMult(t *testing.T) { + const testTimes = 1 << 7 + CirclCurve := P384() + StdCurve := elliptic.P384() + params := StdCurve.Params() + + for i := 0; i < testTimes; i++ { + K, _ := rand.Int(rand.Reader, params.N) + X, Y := StdCurve.ScalarBaseMult(K.Bytes()) + + K1, _ := rand.Int(rand.Reader, params.N) + K2, _ := rand.Int(rand.Reader, params.N) + x1, y1 := StdCurve.ScalarBaseMult(K1.Bytes()) + x2, y2 := StdCurve.ScalarMult(X, Y, K2.Bytes()) + wantX, wantY := StdCurve.Add(x1, y1, x2, y2) + + gotX, gotY := CirclCurve.CombinedMult(X, Y, K1.Bytes(), K2.Bytes()) + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, K, K1, K2) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } +} + +func TestAbsolute(t *testing.T) { + cases := []int32{-2, -1, 0, 1, 2} + expected := []int32{2, 1, 0, 1, 2} + for i := range cases { + got := absolute(cases[i]) + want := expected[i] + if got != want { + test.ReportError(t, got, want, cases[i]) + } + } +} diff --git a/src/circl/ecc/p384/point.go b/src/circl/ecc/p384/point.go new file mode 100644 index 00000000000..26a34d1738a --- /dev/null +++ b/src/circl/ecc/p384/point.go @@ -0,0 +1,357 @@ +// +build arm64 amd64 + +package p384 + +import ( + "fmt" + "math/big" +) + +// affinePoint represents an affine point of the curve. The point at +// infinity is (0,0) leveraging that it is not an affine point. +type affinePoint struct{ x, y fp384 } + +func newAffinePoint(x, y *big.Int) *affinePoint { + var P affinePoint + P.x.SetBigInt(x) + P.y.SetBigInt(y) + montEncode(&P.x, &P.x) + montEncode(&P.y, &P.y) + return &P +} + +func zeroPoint() *affinePoint { return &affinePoint{} } + +func (ap affinePoint) String() string { + if ap.isZero() { + return "inf" + } + return fmt.Sprintf("x: %v\ny: %v", ap.x, ap.y) +} + +func (ap *affinePoint) isZero() bool { + zero := fp384{} + return ap.x == zero && ap.y == zero +} + +func (ap *affinePoint) neg() { fp384Neg(&ap.y, &ap.y) } + +func (ap *affinePoint) toInt() (x, y *big.Int) { + var x1, y1 fp384 + montDecode(&x1, &ap.x) + montDecode(&y1, &ap.y) + return x1.BigInt(), y1.BigInt() +} + +func (ap *affinePoint) toJacobian() *jacobianPoint { + var P jacobianPoint + if ap.isZero() { + montEncode(&P.x, &fp384{1}) + montEncode(&P.y, &fp384{1}) + } else { + P.x = ap.x + P.y = ap.y + montEncode(&P.z, &fp384{1}) + } + return &P +} + +func (ap *affinePoint) toProjective() *projectivePoint { + var P projectivePoint + if ap.isZero() { + montEncode(&P.y, &fp384{1}) + } else { + P.x = ap.x + P.y = ap.y + montEncode(&P.z, &fp384{1}) + } + return &P +} + +// OddMultiples calculates the points iP for i={1,3,5,7,..., 2^(n-1)-1} +// Ensure that 1 < n < 31, otherwise it returns an empty slice. +func (ap affinePoint) oddMultiples(n uint) []jacobianPoint { + var t []jacobianPoint + if n > 1 && n < 31 { + P := ap.toJacobian() + s := int32(1) << (n - 1) + t = make([]jacobianPoint, s) + t[0] = *P + _2P := *P + _2P.double() + for i := int32(1); i < s; i++ { + t[i].add(&t[i-1], &_2P) + } + } + return t +} + +// p2Point is a point in P^2 +type p2Point struct{ x, y, z fp384 } + +func (P *p2Point) String() string { + return fmt.Sprintf("x: %v\ny: %v\nz: %v", P.x, P.y, P.z) +} + +func (P *p2Point) neg() { fp384Neg(&P.y, &P.y) } + +// condNeg if P is negated if b=1. +func (P *p2Point) cneg(b int) { + var mY fp384 + fp384Neg(&mY, &P.y) + fp384Cmov(&P.y, &mY, b) +} + +// cmov sets P to Q if b=1. +func (P *p2Point) cmov(Q *p2Point, b int) { + fp384Cmov(&P.x, &Q.x, b) + fp384Cmov(&P.y, &Q.y, b) + fp384Cmov(&P.z, &Q.z, b) +} + +func (P *p2Point) toInt() (x, y, z *big.Int) { + var x1, y1, z1 fp384 + montDecode(&x1, &P.x) + montDecode(&y1, &P.y) + montDecode(&z1, &P.z) + return x1.BigInt(), y1.BigInt(), z1.BigInt() +} + +// jacobianPoint represents a point in Jacobian coordinates. The point at +// infinity is any point (x,y,0) such that x and y are different from 0. +type jacobianPoint struct{ p2Point } + +func (P *jacobianPoint) isZero() bool { + zero := fp384{} + return P.x != zero && P.y != zero && P.z == zero +} + +func (P *jacobianPoint) toAffine() *affinePoint { + var aP affinePoint + z, z2 := &fp384{}, &fp384{} + fp384Inv(z, &P.z) + fp384Sqr(z2, z) + fp384Mul(&aP.x, &P.x, z2) + fp384Mul(&aP.y, &P.y, z) + fp384Mul(&aP.y, &aP.y, z2) + return &aP +} + +func (P *jacobianPoint) cmov(Q *jacobianPoint, b int) { P.p2Point.cmov(&Q.p2Point, b) } + +// add calculates P=Q+R such that Q and R are different than the identity point, +// and Q!==R. This function cannot be used for doublings. +func (P *jacobianPoint) add(Q, R *jacobianPoint) { + if Q.isZero() { + *P = *R + return + } else if R.isZero() { + *P = *Q + return + } + + // Cohen-Miyagi-Ono (1998) + // https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#addition-add-1998-cmo-2 + X1, Y1, Z1 := &Q.x, &Q.y, &Q.z + X2, Y2, Z2 := &R.x, &R.y, &R.z + Z1Z1, Z2Z2, U1, U2 := &fp384{}, &fp384{}, &fp384{}, &fp384{} + H, HH, HHH, RR := &fp384{}, &fp384{}, &fp384{}, &fp384{} + V, t4, t5, t6, t7, t8 := &fp384{}, &fp384{}, &fp384{}, &fp384{}, &fp384{}, &fp384{} + t0, t1, t2, t3, S1, S2 := &fp384{}, &fp384{}, &fp384{}, &fp384{}, &fp384{}, &fp384{} + fp384Sqr(Z1Z1, Z1) // Z1Z1 = Z1 ^ 2 + fp384Sqr(Z2Z2, Z2) // Z2Z2 = Z2 ^ 2 + fp384Mul(U1, X1, Z2Z2) // U1 = X1 * Z2Z2 + fp384Mul(U2, X2, Z1Z1) // U2 = X2 * Z1Z1 + fp384Mul(t0, Z2, Z2Z2) // t0 = Z2 * Z2Z2 + fp384Mul(S1, Y1, t0) // S1 = Y1 * t0 + fp384Mul(t1, Z1, Z1Z1) // t1 = Z1 * Z1Z1 + fp384Mul(S2, Y2, t1) // S2 = Y2 * t1 + fp384Sub(H, U2, U1) // H = U2 - U1 + fp384Sqr(HH, H) // HH = H ^ 2 + fp384Mul(HHH, H, HH) // HHH = H * HH + fp384Sub(RR, S2, S1) // r = S2 - S1 + fp384Mul(V, U1, HH) // V = U1 * HH + fp384Sqr(t2, RR) // t2 = r ^ 2 + fp384Add(t3, V, V) // t3 = V + V + fp384Sub(t4, t2, HHH) // t4 = t2 - HHH + fp384Sub(&P.x, t4, t3) // X3 = t4 - t3 + fp384Sub(t5, V, &P.x) // t5 = V - X3 + fp384Mul(t6, S1, HHH) // t6 = S1 * HHH + fp384Mul(t7, RR, t5) // t7 = r * t5 + fp384Sub(&P.y, t7, t6) // Y3 = t7 - t6 + fp384Mul(t8, Z2, H) // t8 = Z2 * H + fp384Mul(&P.z, Z1, t8) // Z3 = Z1 * t8 +} + +// mixadd calculates P=Q+R such that P and Q different than the identity point, +// and Q not in {P,-P, O}. +func (P *jacobianPoint) mixadd(Q *jacobianPoint, R *affinePoint) { + if Q.isZero() { + *P = *R.toJacobian() + return + } else if R.isZero() { + *P = *Q + return + } + + z1z1, u2 := &fp384{}, &fp384{} + fp384Sqr(z1z1, &Q.z) + fp384Mul(u2, &R.x, z1z1) + + s2 := &fp384{} + fp384Mul(s2, &R.y, &Q.z) + fp384Mul(s2, s2, z1z1) + if Q.x == *u2 { + if Q.y != *s2 { + *P = *(zeroPoint().toJacobian()) + return + } + *P = *Q + P.double() + return + } + + h, r := &fp384{}, &fp384{} + fp384Sub(h, u2, &Q.x) + fp384Mul(&P.z, h, &Q.z) + fp384Sub(r, s2, &Q.y) + + h2, h3 := &fp384{}, &fp384{} + fp384Sqr(h2, h) + fp384Mul(h3, h2, h) + h3y1 := &fp384{} + fp384Mul(h3y1, h3, &Q.y) + + h2x1 := &fp384{} + fp384Mul(h2x1, h2, &Q.x) + + fp384Sqr(&P.x, r) + fp384Sub(&P.x, &P.x, h3) + fp384Sub(&P.x, &P.x, h2x1) + fp384Sub(&P.x, &P.x, h2x1) + + fp384Sub(&P.y, h2x1, &P.x) + fp384Mul(&P.y, &P.y, r) + fp384Sub(&P.y, &P.y, h3y1) +} + +func (P *jacobianPoint) double() { + delta, gamma, alpha, alpha2 := &fp384{}, &fp384{}, &fp384{}, &fp384{} + fp384Sqr(delta, &P.z) + fp384Sqr(gamma, &P.y) + fp384Sub(alpha, &P.x, delta) + fp384Add(alpha2, &P.x, delta) + fp384Mul(alpha, alpha, alpha2) + *alpha2 = *alpha + fp384Add(alpha, alpha, alpha) + fp384Add(alpha, alpha, alpha2) + + beta := &fp384{} + fp384Mul(beta, &P.x, gamma) + + beta8 := &fp384{} + fp384Sqr(&P.x, alpha) + fp384Add(beta8, beta, beta) + fp384Add(beta8, beta8, beta8) + fp384Add(beta8, beta8, beta8) + fp384Sub(&P.x, &P.x, beta8) + + fp384Add(&P.z, &P.y, &P.z) + fp384Sqr(&P.z, &P.z) + fp384Sub(&P.z, &P.z, gamma) + fp384Sub(&P.z, &P.z, delta) + + fp384Add(beta, beta, beta) + fp384Add(beta, beta, beta) + fp384Sub(beta, beta, &P.x) + + fp384Mul(&P.y, alpha, beta) + + fp384Sqr(gamma, gamma) + fp384Add(gamma, gamma, gamma) + fp384Add(gamma, gamma, gamma) + fp384Add(gamma, gamma, gamma) + fp384Sub(&P.y, &P.y, gamma) +} + +func (P *jacobianPoint) toProjective() *projectivePoint { + var hP projectivePoint + hP.y = P.y + fp384Mul(&hP.x, &P.x, &P.z) + fp384Sqr(&hP.z, &P.z) + fp384Mul(&hP.z, &hP.z, &P.z) + return &hP +} + +// projectivePoint represents a point in projective homogeneous coordinates. +// The point at infinity is (0,y,0) such that y is different from 0. +type projectivePoint struct{ p2Point } + +func (P *projectivePoint) isZero() bool { + zero := fp384{} + return P.x == zero && P.y != zero && P.z == zero +} + +func (P *projectivePoint) toAffine() *affinePoint { + var aP affinePoint + z := &fp384{} + fp384Inv(z, &P.z) + fp384Mul(&aP.x, &P.x, z) + fp384Mul(&aP.y, &P.y, z) + return &aP +} + +// add calculates P=Q+R using complete addition formula for prime groups. +func (P *projectivePoint) completeAdd(Q, R *projectivePoint) { + // Reference: + // "Complete addition formulas for prime order elliptic curves" by + // Costello-Renes-Batina. [Alg.4] (eprint.iacr.org/2015/1060). + X1, Y1, Z1 := &Q.x, &Q.y, &Q.z + X2, Y2, Z2 := &R.x, &R.y, &R.z + X3, Y3, Z3 := &fp384{}, &fp384{}, &fp384{} + t0, t1, t2, t3, t4 := &fp384{}, &fp384{}, &fp384{}, &fp384{}, &fp384{} + fp384Mul(t0, X1, X2) // 1. t0 ← X1 · X2 + fp384Mul(t1, Y1, Y2) // 2. t1 ← Y1 · Y2 + fp384Mul(t2, Z1, Z2) // 3. t2 ← Z1 · Z2 + fp384Add(t3, X1, Y1) // 4. t3 ← X1 + Y1 + fp384Add(t4, X2, Y2) // 5. t4 ← X2 + Y2 + fp384Mul(t3, t3, t4) // 6. t3 ← t3 · t4 + fp384Add(t4, t0, t1) // 7. t4 ← t0 + t1 + fp384Sub(t3, t3, t4) // 8. t3 ← t3 − t4 + fp384Add(t4, Y1, Z1) // 9. t4 ← Y1 + Z1 + fp384Add(X3, Y2, Z2) // 10. X3 ← Y2 + Z2 + fp384Mul(t4, t4, X3) // 11. t4 ← t4 · X3 + fp384Add(X3, t1, t2) // 12. X3 ← t1 + t2 + fp384Sub(t4, t4, X3) // 13. t4 ← t4 − X3 + fp384Add(X3, X1, Z1) // 14. X3 ← X1 + Z1 + fp384Add(Y3, X2, Z2) // 15. Y3 ← X2 + Z2 + fp384Mul(X3, X3, Y3) // 16. X3 ← X3 · Y3 + fp384Add(Y3, t0, t2) // 17. Y3 ← t0 + t2 + fp384Sub(Y3, X3, Y3) // 18. Y3 ← X3 − Y3 + fp384Mul(Z3, &bb, t2) // 19. Z3 ← b · t2 + fp384Sub(X3, Y3, Z3) // 20. X3 ← Y3 − Z3 + fp384Add(Z3, X3, X3) // 21. Z3 ← X3 + X3 + fp384Add(X3, X3, Z3) // 22. X3 ← X3 + Z3 + fp384Sub(Z3, t1, X3) // 23. Z3 ← t1 − X3 + fp384Add(X3, t1, X3) // 24. X3 ← t1 + X3 + fp384Mul(Y3, &bb, Y3) // 25. Y3 ← b · Y3 + fp384Add(t1, t2, t2) // 26. t1 ← t2 + t2 + fp384Add(t2, t1, t2) // 27. t2 ← t1 + t2 + fp384Sub(Y3, Y3, t2) // 28. Y3 ← Y3 − t2 + fp384Sub(Y3, Y3, t0) // 29. Y3 ← Y3 − t0 + fp384Add(t1, Y3, Y3) // 30. t1 ← Y3 + Y3 + fp384Add(Y3, t1, Y3) // 31. Y3 ← t1 + Y3 + fp384Add(t1, t0, t0) // 32. t1 ← t0 + t0 + fp384Add(t0, t1, t0) // 33. t0 ← t1 + t0 + fp384Sub(t0, t0, t2) // 34. t0 ← t0 − t2 + fp384Mul(t1, t4, Y3) // 35. t1 ← t4 · Y3 + fp384Mul(t2, t0, Y3) // 36. t2 ← t0 · Y3 + fp384Mul(Y3, X3, Z3) // 37. Y3 ← X3 · Z3 + fp384Add(Y3, Y3, t2) // 38. Y3 ← Y3 + t2 + fp384Mul(X3, t3, X3) // 39. X3 ← t3 · X3 + fp384Sub(X3, X3, t1) // 40. X3 ← X3 − t1 + fp384Mul(Z3, t4, Z3) // 41. Z3 ← t4 · Z3 + fp384Mul(t1, t3, t0) // 42. t1 ← t3 · t0 + fp384Add(Z3, Z3, t1) // 43. Z3 ← Z3 + t1 + P.x, P.y, P.z = *X3, *Y3, *Z3 +} diff --git a/src/circl/ecc/p384/point_test.go b/src/circl/ecc/p384/point_test.go new file mode 100644 index 00000000000..da40d8f8b64 --- /dev/null +++ b/src/circl/ecc/p384/point_test.go @@ -0,0 +1,415 @@ +// +build arm64 amd64 + +package p384 + +import ( + "crypto/elliptic" + "crypto/rand" + "encoding/binary" + "testing" + + "circl/internal/test" +) + +func randomAffine() *affinePoint { + params := elliptic.P384().Params() + k, _ := rand.Int(rand.Reader, params.N) + return newAffinePoint(params.ScalarBaseMult(k.Bytes())) +} + +func randomJacobian() *jacobianPoint { + params := elliptic.P384().Params() + P := randomAffine().toJacobian() + z, _ := rand.Int(rand.Reader, params.P) + var l fp384 + l.SetBigInt(z) + fp384Mul(&P.z, &P.z, &l) // z = z * l^1 + fp384Mul(&P.y, &P.y, &l) + fp384Sqr(&l, &l) + fp384Mul(&P.x, &P.x, &l) // x = x * l^2 + fp384Mul(&P.y, &P.y, &l) // y = y * l^3 + return P +} + +func randomProjective() *projectivePoint { + return randomJacobian().toProjective() +} + +func TestPointDouble(t *testing.T) { + t.Run("2∞=∞", func(t *testing.T) { + Z := zeroPoint().toJacobian() + Z.double() + got := Z.isZero() + want := true + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("2P=P+P", func(t *testing.T) { + StdCurve := elliptic.P384() + for i := 0; i < 128; i++ { + P := randomJacobian() + + x1, y1 := P.toAffine().toInt() + wantX, wantY := StdCurve.Double(x1, y1) + + P.double() + gotX, gotY := P.toAffine().toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) +} + +func TestPointAdd(t *testing.T) { + StdCurve := elliptic.P384() + Q, R := &jacobianPoint{}, &jacobianPoint{} + Z := zeroPoint().toJacobian() + P := randomJacobian() + + t.Run("∞+∞=∞", func(t *testing.T) { + R.add(Z, Z) + got := R.isZero() + want := true + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("∞+P=P", func(t *testing.T) { + R.add(Z, P) + gotX, gotY := R.toAffine().toInt() + wantX, wantY := P.toAffine().toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P) + } + }) + + t.Run("P+∞=P", func(t *testing.T) { + R.add(P, Z) + gotX, gotY := R.toAffine().toInt() + wantX, wantY := P.toAffine().toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P) + } + }) + + t.Run("P+(-P)=∞", func(t *testing.T) { + *Q = *P + Q.neg() + R.add(P, Q) + got := R.isZero() + want := true + if got != want { + test.ReportError(t, got, want, P) + } + }) + + t.Run("P+P=2P", func(t *testing.T) { + // This verifies that add function cannot be used for doublings. + for i := 0; i < 128; i++ { + P = randomJacobian() + + R.add(P, P) + gotX, gotY := R.toAffine().toInt() + wantX, wantY := zeroPoint().toInt() + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P) + } + } + }) + + t.Run("P+Q=R", func(t *testing.T) { + for i := 0; i < 128; i++ { + P = randomJacobian() + Q = randomJacobian() + + x1, y1 := P.toAffine().toInt() + x2, y2 := Q.toAffine().toInt() + wantX, wantY := StdCurve.Add(x1, y1, x2, y2) + + R.add(P, Q) + gotX, gotY := R.toAffine().toInt() + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P, Q) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P, Q) + } + } + }) +} + +func TestPointCompleteAdd(t *testing.T) { + StdCurve := elliptic.P384() + Q, R := &projectivePoint{}, &projectivePoint{} + Z := zeroPoint().toProjective() + P := randomProjective() + + t.Run("∞+∞=∞", func(t *testing.T) { + R.completeAdd(Z, Z) + got := R.isZero() + want := true + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("∞+P=P", func(t *testing.T) { + R.completeAdd(Z, P) + gotX, gotY := R.toAffine().toInt() + wantX, wantY := P.toAffine().toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P) + } + }) + + t.Run("P+∞=P", func(t *testing.T) { + R.completeAdd(P, Z) + gotX, gotY := R.toAffine().toInt() + wantX, wantY := P.toAffine().toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P) + } + }) + + t.Run("P+(-P)=∞", func(t *testing.T) { + *Q = *P + Q.cneg(1) + R.completeAdd(P, Q) + got := R.isZero() + want := true + if got != want { + test.ReportError(t, got, want, P) + } + }) + + t.Run("P+P=2P", func(t *testing.T) { + // This verifies that completeAdd can be used for doublings. + for i := 0; i < 128; i++ { + P := randomJacobian() + PP := P.toProjective() + + R.completeAdd(PP, PP) + P.double() + + gotX, gotY := R.toAffine().toInt() + wantX, wantY := P.toAffine().toInt() + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P) + } + } + }) + + t.Run("P+Q=R", func(t *testing.T) { + for i := 0; i < 128; i++ { + P := randomProjective() + Q := randomProjective() + + x1, y1 := P.toAffine().toInt() + x2, y2 := Q.toAffine().toInt() + wantX, wantY := StdCurve.Add(x1, y1, x2, y2) + + R.completeAdd(P, Q) + gotX, gotY := R.toAffine().toInt() + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, P, Q) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, P, Q) + } + } + }) +} + +func TestPointMixAdd(t *testing.T) { + StdCurve := elliptic.P384() + aZ := zeroPoint() + jZ := zeroPoint().toJacobian() + R := &jacobianPoint{} + aQ := &affinePoint{} + aP := randomAffine() + jP := randomJacobian() + + t.Run("∞+∞=∞", func(t *testing.T) { + R.mixadd(jZ, aZ) + got := R.isZero() + want := true + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("∞+P=P", func(t *testing.T) { + R.mixadd(jZ, aP) + gotX, gotY := R.toAffine().toInt() + wantX, wantY := aP.toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, aP) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + }) + + t.Run("P+∞=P", func(t *testing.T) { + R.mixadd(jP, aZ) + gotX, gotY, gotZ := R.toInt() + wantX, wantY, wantZ := jP.toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, jP) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + if gotZ.Cmp(wantZ) != 0 { + test.ReportError(t, gotZ, wantZ) + } + }) + + t.Run("P+(-P)=∞", func(t *testing.T) { + aQ = jP.toAffine() + aQ.neg() + R.mixadd(jP, aQ) + got := R.isZero() + want := true + if got != want { + test.ReportError(t, got, want, jP) + } + }) + + t.Run("P+P=2P", func(t *testing.T) { + for i := 0; i < 128; i++ { + aQ := randomAffine() + jQ := aQ.toJacobian() + + x, y := aQ.toInt() + wantX, wantY := StdCurve.Double(x, y) + + R.mixadd(jQ, aQ) + gotX, gotY := R.toAffine().toInt() + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, aQ) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) + + t.Run("P+Q=R", func(t *testing.T) { + for i := 0; i < 128; i++ { + aP = randomAffine() + jP = randomJacobian() + + x1, y1 := jP.toAffine().toInt() + x2, y2 := aP.toInt() + wantX, wantY := StdCurve.Add(x1, y1, x2, y2) + + R.mixadd(jP, aP) + gotX, gotY := R.toAffine().toInt() + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, jP, aP) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) +} + +func TestOddMultiples(t *testing.T) { + t.Run("invalidOmega", func(t *testing.T) { + for w := uint(0); w < 2; w++ { + P := randomAffine() + PP := P.oddMultiples(w) + got := len(PP) + want := 0 + if got != want { + test.ReportError(t, got, want, w) + } + } + }) + + t.Run("validOmega", func(t *testing.T) { + StdCurve := elliptic.P384() + var jOdd [4]byte + for i := 0; i < 32; i++ { + P := randomAffine() + X, Y := P.toInt() + for w := uint(2); w < 10; w++ { + PP := P.oddMultiples(w) + for j, jP := range PP { + binary.BigEndian.PutUint32(jOdd[:], uint32(2*j+1)) + wantX, wantY := StdCurve.ScalarMult(X, Y, jOdd[:]) + gotX, gotY := jP.toAffine().toInt() + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, w, j) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + } + } + }) +} + +func BenchmarkPoint(b *testing.B) { + P := randomJacobian() + Q := randomJacobian() + R := randomJacobian() + QQ := randomProjective() + RR := randomProjective() + aR := randomAffine() + + b.Run("addition", func(b *testing.B) { + for i := 0; i < b.N; i++ { + R.add(P, Q) + } + }) + b.Run("fullAddition", func(b *testing.B) { + for i := 0; i < b.N; i++ { + RR.completeAdd(RR, QQ) + } + }) + b.Run("mixadd", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.mixadd(P, aR) + } + }) + b.Run("double", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.double() + } + }) +} diff --git a/src/circl/ecc/p384/tableBase.go b/src/circl/ecc/p384/tableBase.go new file mode 100644 index 00000000000..948d72da0ef --- /dev/null +++ b/src/circl/ecc/p384/tableBase.go @@ -0,0 +1,330 @@ +// +build arm64 amd64 + +package p384 + +const baseOmega = uint(7) + +// baseOddMultiples has [2*i+1] * G at position i. +// Each coordinate has been multiplied by R=2^384 +var baseOddMultiples = [1 << (baseOmega - 1)]affinePoint{ + // 1P + { + x: fp384{0x28, 0xb5, 0xc0, 0x49, 0x66, 0x75, 0xd0, 0x3d, 0x38, 0xce, 0xd6, 0xa0, 0xe2, 0x78, 0xe3, 0x20, 0x6e, 0x4d, 0x1b, 0x54, 0xfc, 0x3a, 0x9c, 0x87, 0xff, 0xe, 0xa3, 0x59, 0x84, 0x86, 0x54, 0x64, 0x2b, 0xde, 0x4e, 0x61, 0x23, 0xf7, 0x2f, 0x81, 0x13, 0x15, 0x9e, 0x29, 0xc2, 0xad, 0x3a, 0x4d}, + y: fp384{0xfe, 0xa4, 0x3, 0x4b, 0xad, 0x3d, 0x4, 0x23, 0xac, 0xa9, 0xb4, 0x7b, 0xbf, 0xa8, 0xbf, 0xa1, 0x50, 0xb0, 0x83, 0x2e, 0x56, 0xe7, 0xad, 0x8b, 0xd9, 0xff, 0xf4, 0x68, 0x19, 0x52, 0xc3, 0xc6, 0x40, 0xa8, 0x69, 0x39, 0x26, 0x2, 0x80, 0xdd, 0xe9, 0xc5, 0x15, 0x5a, 0xc2, 0xab, 0x78, 0x2b}, + }, + // 3P + { + x: fp384{0x73, 0x40, 0xdc, 0xc1, 0xe6, 0xdb, 0xe4, 0x5, 0x9c, 0x77, 0x4f, 0xf0, 0xff, 0xa9, 0x4e, 0xc5, 0xf0, 0xcc, 0x70, 0xa1, 0xe9, 0x34, 0x20, 0x6b, 0x3e, 0x6c, 0x1c, 0xd5, 0x32, 0xd7, 0x48, 0x3a, 0x70, 0xa4, 0x3a, 0x26, 0x2d, 0x7e, 0x6f, 0xe3, 0xac, 0xc3, 0xc1, 0xe7, 0x68, 0xfe, 0x83, 0xd2}, + y: fp384{0x57, 0xe1, 0x4e, 0xc0, 0x21, 0x48, 0x28, 0x7e, 0x6d, 0xe3, 0xe0, 0x7a, 0xa7, 0x89, 0xd7, 0x92, 0x46, 0x74, 0xf6, 0x4e, 0xc0, 0x63, 0x26, 0x13, 0xb4, 0xd0, 0xe1, 0xd2, 0x5a, 0x2d, 0x1, 0x68, 0x39, 0xb3, 0x2, 0x51, 0xb1, 0x68, 0xdb, 0xf6, 0xaf, 0x92, 0x32, 0x98, 0xfc, 0x65, 0x54, 0x46}, + }, + // 5P + { + x: fp384{0xdf, 0xf0, 0xf1, 0x68, 0xba, 0x5e, 0x59, 0xbb, 0x66, 0x34, 0x87, 0xcc, 0xcb, 0xc0, 0x85, 0xc1, 0x3b, 0x70, 0x3c, 0x29, 0xb5, 0xb1, 0x1e, 0x7f, 0xe6, 0x5, 0xcc, 0xaa, 0xf5, 0x2c, 0xdb, 0x60, 0xc6, 0xe4, 0xe8, 0xe2, 0x87, 0xb9, 0x76, 0xc6, 0xfb, 0x8f, 0x17, 0x1d, 0xb1, 0x26, 0xbb, 0xe1}, + y: fp384{0x21, 0xfa, 0x73, 0x70, 0xa0, 0x4b, 0x69, 0x2b, 0x66, 0x45, 0xf3, 0x72, 0x2e, 0x6e, 0xc1, 0x22, 0x99, 0x5b, 0xc3, 0x1, 0x31, 0x1b, 0xb6, 0x80, 0x11, 0x4, 0x2c, 0x98, 0xaf, 0x7f, 0x23, 0x4b, 0x6d, 0x23, 0xde, 0x24, 0x40, 0x94, 0xc5, 0xe6, 0xa3, 0xe4, 0x9, 0xe2, 0xd6, 0xc9, 0xb1, 0x4d}, + }, + // 7P + { + x: fp384{0x2b, 0x22, 0x69, 0x7d, 0xd1, 0xb9, 0x13, 0xdf, 0xb1, 0x74, 0x47, 0x87, 0x5f, 0x41, 0xe6, 0x4c, 0x95, 0xaa, 0x1f, 0x21, 0xf8, 0xdc, 0x1e, 0x73, 0xed, 0x53, 0x97, 0x65, 0xd1, 0x15, 0x42, 0x5f, 0x55, 0xdf, 0xb2, 0x9d, 0x58, 0xdb, 0x93, 0xf8, 0x5b, 0x2, 0x89, 0x1c, 0x81, 0x9f, 0x2c, 0x93}, + y: fp384{0x1e, 0xa6, 0x6, 0x77, 0x20, 0xb2, 0x96, 0x9, 0x79, 0x1c, 0x64, 0xa8, 0xd5, 0x49, 0x53, 0x13, 0x44, 0x8, 0x13, 0x50, 0x6f, 0xd7, 0xaa, 0x65, 0x80, 0xf7, 0xff, 0x1, 0x4, 0x7c, 0xf3, 0xf, 0x6, 0x7, 0x3b, 0x69, 0x8e, 0x23, 0x7f, 0xf5, 0x3e, 0x9b, 0x6c, 0xaf, 0xb6, 0x16, 0xa, 0xd9}, + }, + // 9P + { + x: fp384{0x2f, 0xb9, 0x53, 0x23, 0xe, 0x20, 0x5d, 0x2f, 0xf9, 0xe4, 0xd7, 0x3f, 0x29, 0x87, 0x5d, 0xe3, 0x5d, 0x74, 0x6d, 0xa9, 0x33, 0x48, 0x9, 0x26, 0x3f, 0xff, 0xbf, 0x3c, 0xc1, 0x1d, 0x35, 0xdc, 0x6a, 0x4d, 0xd5, 0xda, 0xc6, 0x64, 0xd4, 0x26, 0x6a, 0x6c, 0x63, 0x53, 0x1d, 0x1d, 0xab, 0x5c}, + y: fp384{0xb0, 0xc0, 0x8e, 0xb1, 0x72, 0x30, 0x81, 0xf2, 0x2f, 0xaa, 0x42, 0xd7, 0x70, 0xe2, 0x77, 0x37, 0xc2, 0xa7, 0x3c, 0x3, 0xc7, 0x61, 0xf0, 0x27, 0xd8, 0xd0, 0xea, 0x68, 0xcc, 0xac, 0xec, 0xa6, 0x54, 0xa7, 0x69, 0xee, 0xf4, 0x29, 0x94, 0x7d, 0xc6, 0xf5, 0xe8, 0x31, 0x34, 0x63, 0x70, 0xe7}, + }, + // 11P + { + x: fp384{0x7d, 0x8c, 0x8b, 0xb6, 0x19, 0x8b, 0x70, 0xc7, 0xba, 0x7a, 0x37, 0x44, 0x7c, 0x7, 0x32, 0x45, 0x4f, 0xd6, 0xda, 0x6c, 0x70, 0x67, 0xcc, 0xd, 0x2, 0x66, 0x7b, 0x14, 0x56, 0xbf, 0xb8, 0x1, 0x79, 0x1d, 0x56, 0xf0, 0x85, 0x98, 0xd8, 0xf8, 0x37, 0xc4, 0xa9, 0x7b, 0xfc, 0xe9, 0x19, 0x9c}, + y: fp384{0x25, 0xba, 0xc4, 0xbd, 0x46, 0xb1, 0x4e, 0x76, 0x83, 0x4b, 0x14, 0xac, 0x6b, 0xe4, 0x4f, 0x60, 0x80, 0xe7, 0x77, 0x8a, 0x29, 0x13, 0xe8, 0x3c, 0x2e, 0x68, 0x9e, 0xfe, 0x36, 0xf, 0x7, 0x2e, 0x7a, 0x28, 0x53, 0x3a, 0xc, 0x1d, 0x82, 0x41, 0x18, 0xf9, 0x33, 0x35, 0x9f, 0x2f, 0xa6, 0x9a}, + }, + // 13P + { + x: fp384{0xfb, 0xbd, 0xcc, 0x75, 0x7e, 0xeb, 0x7a, 0x9b, 0x95, 0x9a, 0x74, 0xf6, 0xc5, 0x28, 0x5e, 0xb2, 0xae, 0xd4, 0xb7, 0x33, 0x46, 0x8e, 0x7a, 0x8a, 0x56, 0xbd, 0xc1, 0xd9, 0xa8, 0x3, 0x52, 0xdb, 0x97, 0xdf, 0x22, 0xed, 0x65, 0x72, 0x65, 0xd2, 0x94, 0x3c, 0xf2, 0x8c, 0xe1, 0x56, 0x1c, 0xb5}, + y: fp384{0x2d, 0x81, 0x3d, 0x6c, 0x59, 0x94, 0xd3, 0xf4, 0xc2, 0xe0, 0xca, 0x87, 0x1a, 0x8f, 0xe8, 0xd8, 0xe3, 0xf, 0x4d, 0xcf, 0x48, 0x2a, 0x9a, 0x78, 0x60, 0x8d, 0xc3, 0xfe, 0x2d, 0xac, 0xfe, 0xb7, 0xc3, 0xe, 0x49, 0x3b, 0x1c, 0xbd, 0xfd, 0x81, 0xe1, 0x79, 0x69, 0xcc, 0xb7, 0xad, 0x17, 0x46}, + }, + // 15P + { + x: fp384{0xa9, 0xf4, 0x9, 0x47, 0x88, 0xd8, 0x6a, 0x44, 0xd8, 0xab, 0x3d, 0xec, 0xe2, 0x10, 0x72, 0x2b, 0x34, 0x7b, 0xe0, 0x50, 0x95, 0xf1, 0xcc, 0x83, 0x75, 0x30, 0x9b, 0x78, 0x17, 0x9, 0x50, 0x59, 0x93, 0x59, 0x8, 0xeb, 0xd4, 0x1f, 0xc0, 0xf, 0x6b, 0x2, 0x3, 0x49, 0x6f, 0xd2, 0x62, 0xfb}, + y: fp384{0xbb, 0x89, 0xe9, 0x6f, 0x9d, 0xcc, 0x9, 0x23, 0x86, 0xd5, 0x4b, 0x14, 0xbd, 0x9c, 0x60, 0x61, 0xc, 0x61, 0x6, 0xde, 0xa0, 0xd3, 0x23, 0x4b, 0x70, 0xf4, 0x98, 0xd8, 0x66, 0x28, 0xdc, 0xdd, 0x97, 0x57, 0xc, 0x40, 0x41, 0xfc, 0x33, 0x87, 0x16, 0x27, 0xbc, 0xd0, 0xfe, 0xc6, 0x68, 0x5a}, + }, + // 17P + { + x: fp384{0xd0, 0x3c, 0x4a, 0x4b, 0x30, 0xe1, 0x3, 0x89, 0x3e, 0xf4, 0xf1, 0x8f, 0x4c, 0xea, 0xa4, 0x3e, 0xd, 0xa1, 0x55, 0xf6, 0x2a, 0x3f, 0xfc, 0xe6, 0xfc, 0xfe, 0x4f, 0x52, 0x7d, 0x73, 0xe3, 0x7b, 0x5e, 0x45, 0x30, 0x53, 0x55, 0x28, 0x69, 0x9f, 0x70, 0xce, 0x75, 0xe4, 0x6e, 0x16, 0x4f, 0x52}, + y: fp384{0x55, 0xf0, 0x12, 0x6c, 0xcd, 0x69, 0xcc, 0x3f, 0xda, 0xc0, 0xb9, 0xd5, 0xff, 0xb6, 0x23, 0x4e, 0x83, 0xf1, 0x6b, 0x33, 0x93, 0x69, 0xce, 0x49, 0x4a, 0x50, 0x54, 0x4a, 0x85, 0x6d, 0x7d, 0xf8, 0x7a, 0x67, 0xc2, 0xb3, 0xf1, 0x5d, 0xeb, 0x25, 0xc9, 0x64, 0xb1, 0x55, 0x6f, 0x98, 0x37, 0xac}, + }, + // 19P + { + x: fp384{0x8, 0x4c, 0xa8, 0xba, 0x4a, 0xed, 0xa2, 0x82, 0x12, 0xc9, 0xa8, 0x41, 0x5f, 0xcc, 0xc4, 0x22, 0x5e, 0xad, 0x4a, 0x15, 0x3b, 0x9c, 0x10, 0xca, 0x8e, 0x53, 0x38, 0xfc, 0x98, 0x12, 0x89, 0x23, 0xae, 0x2, 0x98, 0x53, 0x9c, 0x63, 0xb6, 0xb3, 0x6, 0xd7, 0x90, 0x3, 0x45, 0x1f, 0xf, 0xfa}, + y: fp384{0xd0, 0x21, 0xdc, 0xb0, 0x5d, 0x8e, 0xb7, 0x46, 0xac, 0x2e, 0xda, 0xc3, 0x3c, 0x2d, 0xc7, 0xa8, 0x43, 0xf6, 0xf2, 0x6f, 0x78, 0xb3, 0x70, 0x91, 0xc3, 0x30, 0x7f, 0xb6, 0x9b, 0x79, 0x5a, 0x3f, 0x72, 0xb6, 0x64, 0x82, 0x77, 0xdc, 0xd1, 0x15, 0x64, 0x77, 0x57, 0xe9, 0x23, 0x7b, 0xd4, 0xa1}, + }, + // 21P + { + x: fp384{0x2f, 0xce, 0x22, 0x4, 0x51, 0x5e, 0x26, 0x8, 0x21, 0x9e, 0x2f, 0xdd, 0x96, 0xd4, 0xe0, 0x88, 0x5d, 0xf7, 0x77, 0x61, 0xa0, 0x8a, 0x12, 0x30, 0x69, 0xbe, 0x9e, 0xbd, 0x62, 0xab, 0x59, 0x2e, 0x37, 0xe5, 0xf0, 0x5d, 0x6c, 0xf, 0x1a, 0x1b, 0xb5, 0x12, 0xc0, 0xda, 0x26, 0xc6, 0x16, 0xab}, + y: fp384{0xe7, 0x5d, 0x8c, 0x0, 0x4b, 0x21, 0x14, 0x80, 0xea, 0x7b, 0xf1, 0x38, 0x9e, 0xa, 0x74, 0xaa, 0x98, 0x90, 0x14, 0x8a, 0x49, 0xbb, 0x2e, 0x26, 0x59, 0xcd, 0x27, 0x85, 0x1e, 0x11, 0x54, 0xb4, 0x17, 0x58, 0xea, 0xac, 0x5a, 0xd1, 0x6a, 0x26, 0xba, 0xcc, 0x53, 0x13, 0x41, 0x4f, 0x82, 0x21}, + }, + // 23P + { + x: fp384{0x3b, 0x68, 0xe3, 0x12, 0x4d, 0xe7, 0xb4, 0xd1, 0xf6, 0x8e, 0x9b, 0x56, 0xb, 0xd2, 0xe, 0x99, 0x18, 0xa, 0x9c, 0x42, 0x25, 0xdd, 0xd3, 0xb9, 0x83, 0x17, 0x35, 0x2a, 0xab, 0xb8, 0x75, 0x1c, 0xf0, 0x32, 0x54, 0x90, 0x2b, 0xca, 0xe4, 0x61, 0x24, 0xf2, 0xa8, 0xee, 0x69, 0x6a, 0x82, 0x80}, + y: fp384{0xad, 0xab, 0x52, 0xec, 0x6b, 0x3a, 0xc3, 0x7f, 0x13, 0x48, 0x5e, 0xa6, 0xf0, 0xa3, 0xcc, 0xb, 0xbe, 0xce, 0x27, 0xa5, 0x32, 0xa1, 0xd8, 0x7a, 0x7e, 0x2c, 0xf2, 0xea, 0x50, 0x89, 0x13, 0xf0, 0xc1, 0x18, 0x67, 0x56, 0x37, 0x24, 0x2d, 0x28, 0x59, 0x25, 0x21, 0xe2, 0xd, 0xcb, 0xfc, 0x9d}, + }, + // 25P + { + x: fp384{0x83, 0x3b, 0xce, 0x58, 0x27, 0x72, 0x93, 0x1e, 0x36, 0xfb, 0xb3, 0x3c, 0xfa, 0xd, 0x28, 0xbb, 0x4a, 0x17, 0xbe, 0xe2, 0xd2, 0xf3, 0xd0, 0x57, 0x1e, 0xbe, 0x8a, 0x20, 0x99, 0x1b, 0xd5, 0x9b, 0x24, 0x80, 0x24, 0xde, 0x50, 0xab, 0x9, 0x38, 0x31, 0x73, 0xbb, 0xa5, 0x2c, 0x6e, 0x9c, 0xc2}, + y: fp384{0x5, 0x4f, 0x12, 0x61, 0x2e, 0xfd, 0x44, 0x99, 0x91, 0xe3, 0x9, 0x90, 0x4e, 0xbc, 0xcc, 0x83, 0xcc, 0xa3, 0x24, 0x94, 0x5, 0x8f, 0x62, 0x1, 0x44, 0x43, 0x8e, 0xea, 0x1d, 0xf5, 0xa2, 0xd6, 0x6e, 0xc9, 0xeb, 0x4c, 0x3d, 0x1a, 0x3e, 0xda, 0xdc, 0x9, 0x78, 0xe9, 0x42, 0xfb, 0xe6, 0x1f}, + }, + // 27P + { + x: fp384{0xe4, 0x66, 0x7d, 0x46, 0xd2, 0x82, 0x44, 0xa0, 0x1d, 0x29, 0x78, 0x4d, 0x93, 0x12, 0x19, 0xcf, 0xf9, 0x96, 0x23, 0x48, 0x68, 0x41, 0xd, 0x8e, 0xd0, 0x14, 0x8f, 0xd1, 0xd5, 0xe2, 0x28, 0x72, 0xfe, 0x58, 0x6a, 0x9c, 0x50, 0x8d, 0x7e, 0x2f, 0xec, 0x5a, 0x3e, 0x37, 0xe, 0x78, 0xca, 0xe8}, + y: fp384{0xf8, 0xe9, 0x68, 0x1b, 0xd6, 0xd1, 0xaa, 0x42, 0xf4, 0xf8, 0xe2, 0x69, 0xf5, 0xd7, 0xa6, 0x58, 0xea, 0x1b, 0xda, 0x31, 0xfe, 0xad, 0x79, 0xd7, 0x85, 0x5a, 0xc8, 0x38, 0x6, 0x54, 0x26, 0x7d, 0xdf, 0x3c, 0x4d, 0xd4, 0x95, 0x71, 0xe6, 0x67, 0xd7, 0x4e, 0x13, 0xc5, 0xb, 0xa, 0x82, 0x17}, + }, + // 29P + { + x: fp384{0x70, 0x14, 0x2, 0xd3, 0xc5, 0x6a, 0x9d, 0x1, 0xd6, 0x43, 0x4, 0x78, 0x66, 0x6b, 0x84, 0x25, 0x47, 0x76, 0xc9, 0x55, 0xed, 0x15, 0x3c, 0xce, 0xf, 0xeb, 0x3f, 0xe, 0x49, 0x2d, 0xc2, 0x3d, 0xe4, 0x26, 0xdf, 0xa7, 0xcb, 0xb7, 0x65, 0x20, 0x1f, 0xea, 0x7c, 0x18, 0xe8, 0xa, 0xb0, 0xc8}, + y: fp384{0xd3, 0xde, 0x5d, 0x86, 0xa0, 0x84, 0x52, 0x1a, 0xe2, 0x3d, 0xc8, 0x20, 0x49, 0x16, 0x3c, 0x29, 0xb3, 0x51, 0xe8, 0xcc, 0x26, 0x8d, 0x17, 0xab, 0xfb, 0x5, 0x45, 0x40, 0xb, 0xb1, 0x6d, 0x8e, 0x33, 0x20, 0xc8, 0x90, 0x71, 0x7e, 0xf5, 0xf6, 0x6c, 0xf1, 0x77, 0x59, 0x1, 0x1c, 0x2a, 0x1d}, + }, + // 31P + { + x: fp384{0xa4, 0x6, 0x89, 0x7c, 0x31, 0x89, 0x9c, 0xa3, 0xe6, 0x1e, 0x82, 0x9e, 0xdd, 0xec, 0xe7, 0xb6, 0xe6, 0x4f, 0xdf, 0xf0, 0x40, 0x83, 0xcf, 0x2e, 0x65, 0x49, 0xc1, 0x53, 0xc9, 0x7d, 0x2f, 0xd4, 0x85, 0x82, 0xba, 0xe3, 0xa3, 0x51, 0xfb, 0x1a, 0xd1, 0x5, 0x33, 0xa, 0x4, 0xc4, 0x7, 0x6c}, + y: fp384{0xda, 0xc1, 0x7f, 0x12, 0x88, 0x32, 0xb8, 0xda, 0x8, 0x4b, 0x4c, 0x37, 0x9b, 0x69, 0xa, 0xbc, 0xdd, 0x20, 0xeb, 0x42, 0xab, 0x9b, 0x2a, 0x40, 0x1c, 0x7a, 0x5a, 0x4, 0x4f, 0x46, 0xdd, 0xd7, 0xc4, 0xec, 0xbe, 0x36, 0x6d, 0xd, 0x3d, 0x5b, 0x9d, 0xa1, 0x98, 0x63, 0x75, 0x3e, 0x5a, 0x47}, + }, + // 33P + { + x: fp384{0x63, 0xba, 0xb3, 0x2f, 0x38, 0x3a, 0x33, 0x61, 0x86, 0x3c, 0x94, 0x5b, 0x9d, 0xd, 0x33, 0xdf, 0xaf, 0xf3, 0x5e, 0x95, 0xee, 0xc7, 0xc7, 0xbb, 0xfb, 0x9e, 0xf0, 0x60, 0xc1, 0x1f, 0x63, 0xda, 0x0, 0xc4, 0xd5, 0x41, 0x26, 0x62, 0xaf, 0x68, 0x9d, 0x3e, 0x83, 0x6c, 0xa4, 0x97, 0x9e, 0xcc}, + y: fp384{0x76, 0x5e, 0x62, 0x3a, 0x8e, 0x3e, 0xd7, 0x7f, 0x5e, 0xe5, 0x9, 0xc2, 0x24, 0x61, 0xbf, 0x13, 0x91, 0xb, 0xb9, 0x48, 0xea, 0x7c, 0x46, 0x8, 0xba, 0xa, 0x6f, 0xbb, 0xb9, 0x6e, 0x41, 0x8a, 0x72, 0x10, 0xc3, 0xb8, 0xa1, 0x93, 0xcc, 0x6f, 0xd7, 0xda, 0x57, 0x90, 0x61, 0x2b, 0xfd, 0xa7}, + }, + // 35P + { + x: fp384{0x9b, 0xec, 0x20, 0x37, 0x43, 0xb5, 0xa5, 0x58, 0xb4, 0x2f, 0x7c, 0x2d, 0xd5, 0x0, 0x38, 0xbb, 0xa, 0xbd, 0xe6, 0xdd, 0x20, 0x86, 0x50, 0x4a, 0xfd, 0x83, 0x25, 0xa0, 0x73, 0x62, 0xf1, 0x65, 0x23, 0x85, 0xc7, 0x4f, 0xe3, 0xd8, 0x2b, 0x83, 0xc6, 0x7b, 0x41, 0xe9, 0x75, 0x9f, 0x14, 0xd6}, + y: fp384{0x2a, 0xb5, 0xee, 0x3d, 0xe9, 0x26, 0xb0, 0xfe, 0x56, 0x9, 0x5e, 0xa5, 0x88, 0x80, 0xe1, 0xc, 0xa2, 0x92, 0x80, 0x98, 0x98, 0x89, 0x1, 0x50, 0xee, 0x5e, 0xf3, 0x28, 0xab, 0x9f, 0xf1, 0x22, 0x5c, 0xd3, 0xcc, 0x52, 0x7f, 0x87, 0x8a, 0xac, 0x26, 0x3f, 0xe2, 0x30, 0xd8, 0x8a, 0x3a, 0xb1}, + }, + // 37P + { + x: fp384{0xa3, 0x61, 0x4f, 0xe4, 0x7d, 0xd5, 0x2, 0x2, 0xf2, 0xe, 0x63, 0xb5, 0x4b, 0x70, 0x27, 0x40, 0x5d, 0x4a, 0xb5, 0xf5, 0xdf, 0xe2, 0x29, 0xa1, 0x86, 0x2b, 0x48, 0x97, 0x75, 0xa, 0xb6, 0xac, 0x14, 0x71, 0xf2, 0x7e, 0xe8, 0xed, 0x61, 0x92, 0xb5, 0x58, 0xfc, 0xde, 0xf3, 0x28, 0xba, 0x1e}, + y: fp384{0x9e, 0x58, 0xe5, 0x8b, 0xc9, 0xc0, 0x91, 0x6c, 0xee, 0x4b, 0x59, 0x14, 0xd5, 0x43, 0x16, 0x2f, 0x34, 0xa0, 0x2c, 0x5d, 0x43, 0x12, 0xa9, 0x2e, 0x1f, 0x7d, 0x4, 0x94, 0xa8, 0x49, 0x6, 0xb5, 0x37, 0xa3, 0x8c, 0x63, 0xb5, 0xcb, 0x4f, 0x28, 0x85, 0xbf, 0x85, 0xfe, 0xb7, 0x7, 0xe, 0xfa}, + }, + // 39P + { + x: fp384{0x42, 0xe, 0x6e, 0x50, 0x80, 0x4f, 0x89, 0x7d, 0x46, 0x2c, 0x3d, 0x8e, 0x4a, 0x24, 0x84, 0xd9, 0x6f, 0x0, 0x7f, 0x2b, 0x64, 0xdf, 0x7e, 0x6d, 0x30, 0x62, 0x9b, 0xde, 0x6d, 0xcd, 0xa1, 0x36, 0x65, 0x6, 0x6c, 0xb7, 0x40, 0x50, 0x98, 0xc9, 0xc2, 0x1f, 0x9b, 0xb8, 0xd6, 0xf4, 0x7d, 0x58}, + y: fp384{0x7a, 0xae, 0x71, 0x6a, 0x47, 0x38, 0x6, 0x4c, 0x47, 0x47, 0x29, 0xe8, 0xb3, 0xa, 0x2b, 0x7b, 0xb8, 0x53, 0x31, 0xb5, 0x3a, 0x55, 0x5c, 0x34, 0xe2, 0x9f, 0x6d, 0x43, 0x53, 0xe4, 0x46, 0xb6, 0x40, 0x3, 0xd6, 0x1c, 0x5f, 0x35, 0x95, 0x1a, 0xfb, 0x68, 0x49, 0x7, 0x28, 0xc1, 0x7b, 0x2d}, + }, + // 41P + { + x: fp384{0x4c, 0xd1, 0xa6, 0xbc, 0x87, 0x8e, 0x14, 0xad, 0x1e, 0x20, 0x6a, 0x45, 0x4d, 0xd2, 0xdf, 0x41, 0xf3, 0x68, 0xd, 0xa8, 0x33, 0x29, 0xa8, 0x73, 0x35, 0xa0, 0x2c, 0x85, 0x8d, 0x6c, 0x74, 0x89, 0xae, 0x71, 0xfd, 0x95, 0x88, 0x77, 0xbc, 0xe3, 0x5d, 0x24, 0x92, 0xda, 0x2c, 0xcd, 0x64, 0x87}, + y: fp384{0xe2, 0x23, 0xeb, 0x82, 0x47, 0x2c, 0xfe, 0xa2, 0x6e, 0x9d, 0x3c, 0xf, 0xe0, 0x62, 0xc7, 0x5a, 0x31, 0x6f, 0x64, 0x21, 0xe1, 0xc, 0x86, 0x57, 0x9a, 0x58, 0x9f, 0x4f, 0xc3, 0xd6, 0xc9, 0xbd, 0x2e, 0x27, 0x93, 0xd1, 0xc7, 0x52, 0x99, 0x67, 0xc5, 0xf1, 0x18, 0xeb, 0x2e, 0x70, 0xea, 0x82}, + }, + // 43P + { + x: fp384{0x44, 0x6d, 0x84, 0x0, 0x55, 0x93, 0xfa, 0x37, 0x8c, 0xbc, 0x78, 0x5, 0xc5, 0x2f, 0x11, 0x9, 0x3d, 0x94, 0xc4, 0x39, 0xb2, 0xf5, 0xd9, 0xda, 0x86, 0xbd, 0x6d, 0x41, 0xf0, 0xf5, 0x14, 0x73, 0x56, 0xfb, 0xfe, 0x1, 0xa9, 0x95, 0xf0, 0x5c, 0x93, 0xb3, 0xda, 0x22, 0xad, 0x8b, 0x17, 0x35}, + y: fp384{0xa7, 0xf1, 0xba, 0x36, 0x1b, 0xfc, 0x79, 0xcf, 0x98, 0x54, 0x9e, 0x74, 0x2d, 0xe4, 0x7e, 0x1b, 0xbb, 0x14, 0xe3, 0xed, 0xa9, 0x8a, 0xe7, 0xbc, 0xdf, 0x28, 0x6, 0xbd, 0xf6, 0xe0, 0xf8, 0xaa, 0x48, 0xf9, 0xcb, 0x15, 0x94, 0xb0, 0x74, 0xa9, 0x78, 0x2b, 0x63, 0xc9, 0x63, 0x1f, 0x3f, 0x8f}, + }, + // 45P + { + x: fp384{0x5b, 0xda, 0xdd, 0x4f, 0x56, 0x11, 0xc4, 0xd4, 0x12, 0x91, 0xad, 0x73, 0xc6, 0x65, 0xaf, 0xd4, 0x59, 0x8f, 0xeb, 0x39, 0xbb, 0xe0, 0xe8, 0xff, 0x13, 0xcf, 0x6f, 0x8d, 0xe, 0xc, 0x4, 0xb0, 0x99, 0xb5, 0x2b, 0x1f, 0xc6, 0xc0, 0xe1, 0x99, 0x5, 0x34, 0xac, 0xb2, 0x58, 0xc8, 0x94, 0x9c}, + y: fp384{0x5d, 0xd8, 0xee, 0x6e, 0xd7, 0x78, 0x88, 0x8f, 0x3f, 0xca, 0xfc, 0x51, 0x43, 0xf5, 0xb2, 0x62, 0x18, 0x69, 0xb5, 0xe5, 0xa9, 0x44, 0x3b, 0xeb, 0x93, 0x4e, 0x23, 0xb7, 0x76, 0x66, 0xf9, 0x16, 0x9e, 0xf1, 0x2a, 0xbd, 0x22, 0x77, 0x47, 0x17, 0x85, 0xa4, 0x83, 0xdb, 0x79, 0x29, 0xeb, 0x42}, + }, + // 47P + { + x: fp384{0xca, 0x68, 0xc6, 0xf0, 0x7d, 0x8f, 0x88, 0x6f, 0x6c, 0xc6, 0xd, 0x5f, 0x78, 0x88, 0xc7, 0x65, 0xa0, 0x7, 0x5b, 0x5f, 0x12, 0x85, 0xb1, 0xbf, 0xd0, 0xac, 0x78, 0xd8, 0xf7, 0xbf, 0xa, 0x78, 0x50, 0xf9, 0xc, 0x57, 0xb1, 0x21, 0x4f, 0x50, 0x71, 0x33, 0x23, 0xda, 0xc5, 0x37, 0x5b, 0xea}, + y: fp384{0xd1, 0x7e, 0x43, 0x22, 0xbd, 0xe8, 0x7a, 0x48, 0xb7, 0xf9, 0x9c, 0x24, 0x58, 0x17, 0x70, 0x9c, 0xff, 0x34, 0xfb, 0x98, 0xa8, 0x62, 0x65, 0xf8, 0x91, 0xfc, 0xe0, 0x65, 0xa2, 0xa1, 0xee, 0xdf, 0x23, 0xfc, 0x20, 0x2e, 0x91, 0x6, 0xf0, 0xee, 0x8b, 0x2a, 0xa7, 0xdf, 0xc7, 0xfe, 0x9d, 0xac}, + }, + // 49P + { + x: fp384{0xc6, 0x36, 0x71, 0x69, 0xef, 0x3a, 0x5c, 0xfa, 0xb8, 0x6f, 0xea, 0xa5, 0x63, 0xaf, 0xa5, 0x8e, 0xa4, 0x65, 0xe3, 0x42, 0x65, 0x15, 0x69, 0xa6, 0x86, 0x33, 0x6e, 0x5b, 0x11, 0x6c, 0xc5, 0x47, 0x56, 0x3f, 0xa0, 0xce, 0x2b, 0x83, 0x97, 0x11, 0x9e, 0xea, 0xe4, 0x50, 0xb2, 0xb, 0x47, 0xb}, + y: fp384{0x12, 0x57, 0xb2, 0x13, 0x43, 0xc7, 0x13, 0x31, 0x48, 0x7d, 0x49, 0xd2, 0x4e, 0x17, 0x6c, 0x8d, 0xe8, 0xeb, 0xc9, 0x49, 0xee, 0x86, 0x44, 0xfc, 0xd3, 0xbd, 0x82, 0x7f, 0xd5, 0xed, 0x87, 0x24, 0x2f, 0xbe, 0x57, 0x5b, 0x41, 0x64, 0x1e, 0x77, 0xdb, 0x2b, 0x8b, 0xe2, 0x18, 0xc5, 0x1c, 0x2d}, + }, + // 51P + { + x: fp384{0x8d, 0xac, 0x70, 0x20, 0xc7, 0xca, 0x4c, 0x2c, 0xb8, 0x22, 0x4a, 0xec, 0xca, 0xc0, 0x47, 0x19, 0xd9, 0x78, 0x5a, 0x8c, 0x59, 0xfb, 0xe0, 0xa5, 0xe7, 0x4d, 0xa8, 0x41, 0xd2, 0xe8, 0x4a, 0x46, 0x27, 0xbc, 0xaa, 0xda, 0xe9, 0x16, 0xba, 0x3d, 0x3c, 0xcb, 0x35, 0x4f, 0x50, 0x4a, 0x63, 0x16}, + y: fp384{0x4f, 0xc8, 0x6e, 0xb1, 0xf9, 0x8b, 0xc1, 0xad, 0x35, 0xdd, 0x59, 0x73, 0x7e, 0x6, 0x4d, 0x32, 0xf0, 0x43, 0x5, 0x57, 0xc3, 0xc0, 0xea, 0xda, 0x36, 0x7d, 0x88, 0x3c, 0x0, 0x40, 0x22, 0xb, 0xd, 0x1a, 0x3f, 0x37, 0xe2, 0x89, 0x94, 0xc6, 0x97, 0xd, 0xaa, 0xcb, 0x7d, 0x4, 0x8b, 0x51}, + }, + // 53P + { + x: fp384{0xef, 0x49, 0xde, 0xfb, 0xc6, 0xdd, 0x1b, 0x3b, 0xcc, 0x15, 0x9, 0x8a, 0x26, 0x7c, 0xed, 0xda, 0xa2, 0x22, 0x4, 0xf, 0x61, 0x10, 0x1, 0xb, 0x16, 0x4b, 0xc5, 0xa7, 0x74, 0x5c, 0x48, 0xcf, 0xe2, 0xaa, 0xc3, 0x15, 0xe6, 0xc4, 0x2e, 0x64, 0xea, 0x83, 0xf3, 0xe0, 0x10, 0x8f, 0xba, 0xa8}, + y: fp384{0x1, 0x85, 0x61, 0x95, 0xb4, 0x54, 0x20, 0x2a, 0x8b, 0xfa, 0x9e, 0x8, 0x42, 0x64, 0xec, 0xeb, 0x3e, 0xa8, 0x2f, 0x4e, 0x9a, 0xa1, 0x86, 0x57, 0x63, 0x99, 0x6, 0x39, 0xd1, 0x1a, 0xc7, 0xd2, 0xe2, 0x65, 0x17, 0x48, 0x9a, 0x3d, 0xc9, 0xad, 0x85, 0x94, 0xcc, 0x7e, 0xeb, 0xe3, 0xf2, 0xed}, + }, + // 55P + { + x: fp384{0x67, 0x33, 0x9f, 0x6, 0x60, 0x5f, 0xab, 0xbc, 0x3c, 0xec, 0x18, 0x17, 0xbc, 0x22, 0x66, 0xfd, 0xd6, 0x42, 0xa1, 0xe3, 0x67, 0x78, 0xfb, 0xa4, 0xb3, 0xae, 0x5f, 0x8, 0xbf, 0xd8, 0x78, 0x60, 0x4f, 0x55, 0xf4, 0x60, 0xda, 0xbf, 0x5c, 0xfa, 0x8, 0xd4, 0xc, 0x69, 0xd1, 0xd5, 0xfc, 0xb3}, + y: fp384{0x84, 0x78, 0x1f, 0x28, 0x7d, 0xee, 0xbd, 0x4e, 0xa7, 0x63, 0xa, 0x18, 0xaa, 0x23, 0xaf, 0x82, 0x61, 0x9f, 0x7, 0x3d, 0x7c, 0x10, 0xe3, 0x8d, 0xf8, 0x34, 0x23, 0xbe, 0xcb, 0xb5, 0xc6, 0x17, 0x6, 0xfa, 0xd0, 0x97, 0x39, 0xe7, 0x91, 0x6a, 0xd4, 0xee, 0xce, 0x14, 0x73, 0x25, 0x60, 0x74}, + }, + // 57P + { + x: fp384{0x5c, 0x86, 0x7f, 0xf9, 0x1c, 0xa6, 0x4b, 0xb1, 0xd, 0x8b, 0x4b, 0x69, 0xc1, 0xe4, 0xba, 0x73, 0x62, 0xbf, 0x4b, 0xac, 0xdf, 0x67, 0x49, 0xa1, 0xe0, 0x46, 0xf4, 0x9b, 0x50, 0xd1, 0x9d, 0x1e, 0xef, 0xce, 0x99, 0x1c, 0xeb, 0xf3, 0x52, 0xc0, 0x89, 0xc1, 0x78, 0x7a, 0xa0, 0x7f, 0x4d, 0x81}, + y: fp384{0x5d, 0xb0, 0x74, 0xab, 0x83, 0xa4, 0x1, 0xa1, 0x65, 0x7b, 0x73, 0xa1, 0x58, 0xc2, 0x88, 0x77, 0x3c, 0xa1, 0x9, 0xe8, 0xb7, 0xba, 0x60, 0xd, 0x5b, 0x1d, 0xc8, 0x73, 0xc4, 0x7b, 0x42, 0x8f, 0xfc, 0xc1, 0x52, 0x29, 0x55, 0x30, 0xe1, 0xd2, 0x63, 0xdf, 0x26, 0x4b, 0x9a, 0x3b, 0x82, 0xa}, + }, + // 59P + { + x: fp384{0xc9, 0x64, 0xbf, 0x27, 0xe2, 0x7c, 0x46, 0xaf, 0x4c, 0x97, 0x29, 0xf9, 0x97, 0x68, 0xca, 0xdf, 0x38, 0x27, 0x32, 0x5c, 0x59, 0x3b, 0x47, 0x64, 0x15, 0xe3, 0xd0, 0x1e, 0xcf, 0x17, 0xa9, 0x96, 0xb9, 0x4d, 0xe6, 0xd, 0x5b, 0x43, 0x3, 0x37, 0x46, 0xb6, 0x67, 0x92, 0x67, 0x39, 0xa0, 0x9b}, + y: fp384{0xbe, 0x2f, 0x52, 0x3a, 0xae, 0x2a, 0xc, 0xdf, 0xf0, 0xef, 0x35, 0xb3, 0x41, 0xb7, 0xbd, 0x41, 0x3, 0x97, 0x5, 0x7b, 0xdd, 0x2e, 0xcf, 0xac, 0xce, 0x3c, 0x46, 0x28, 0x30, 0x4b, 0xb3, 0x6f, 0x19, 0xca, 0xe3, 0xd9, 0xb, 0xba, 0xd9, 0x96, 0xc1, 0x55, 0x46, 0x50, 0x12, 0x6f, 0x33, 0xff}, + }, + // 61P + { + x: fp384{0xe0, 0xa6, 0x60, 0xfc, 0xd3, 0x1f, 0xda, 0x48, 0xe8, 0x41, 0x22, 0x22, 0x34, 0x5a, 0xfb, 0x54, 0x80, 0xe0, 0x2a, 0x77, 0x4f, 0xe3, 0x35, 0x60, 0xd0, 0x82, 0x29, 0x33, 0xf2, 0x7f, 0xf7, 0x5f, 0xfd, 0x51, 0xfe, 0x0, 0x73, 0x46, 0x66, 0x23, 0x6, 0xa0, 0x6b, 0xef, 0x49, 0xa0, 0x3e, 0xc9}, + y: fp384{0x66, 0x12, 0x38, 0x7d, 0x17, 0xf1, 0x40, 0x66, 0xac, 0xf4, 0xe9, 0x6a, 0xcd, 0x32, 0x4d, 0x39, 0xeb, 0x3, 0xd3, 0x70, 0x53, 0x88, 0xa7, 0xe6, 0x67, 0x57, 0x27, 0xe5, 0xff, 0x19, 0xda, 0xd, 0x23, 0x6d, 0x46, 0x1, 0x72, 0xc7, 0xa6, 0xb0, 0x29, 0x98, 0xc6, 0x1f, 0x45, 0x11, 0xcc, 0xc4}, + }, + // 63P + { + x: fp384{0xc0, 0x89, 0xed, 0xaa, 0xd7, 0xe6, 0xc0, 0xc5, 0x96, 0x18, 0x9a, 0x14, 0xd6, 0xea, 0xe8, 0x6c, 0x8f, 0x9f, 0x94, 0x8c, 0x45, 0xf7, 0x50, 0x7a, 0xaa, 0x71, 0x2b, 0x6e, 0xf7, 0x35, 0x7e, 0xcd, 0x7a, 0x9f, 0x4, 0x9a, 0x51, 0x9e, 0x15, 0xf6, 0x1e, 0x2d, 0xe5, 0xf1, 0xb0, 0xf0, 0x9b, 0x1c}, + y: fp384{0x80, 0x2c, 0x20, 0x18, 0xf5, 0xc1, 0xb6, 0x3b, 0x1a, 0x7b, 0xcd, 0x1e, 0x62, 0x5f, 0x3a, 0x8d, 0x19, 0x7f, 0xd1, 0x88, 0xe8, 0x34, 0xb0, 0x3b, 0x8d, 0x4, 0xd4, 0x97, 0x49, 0xbd, 0x89, 0xdc, 0x22, 0xdf, 0x35, 0x37, 0x8e, 0x7b, 0xaf, 0xf5, 0xe8, 0x89, 0xa6, 0xa0, 0x12, 0x37, 0xbb, 0x52}, + }, + // 65P + { + x: fp384{0x79, 0x96, 0x9b, 0x83, 0x54, 0x94, 0x46, 0x8e, 0x9f, 0x27, 0x1d, 0xd, 0x3b, 0xa4, 0xcd, 0xbe, 0x80, 0x3c, 0xb6, 0xed, 0x15, 0xdc, 0x9e, 0xcf, 0x2, 0xf0, 0xd5, 0xbd, 0x8a, 0xec, 0x97, 0x45, 0x53, 0x22, 0xb, 0x65, 0xb2, 0x50, 0x3, 0x8b, 0x6f, 0x26, 0xd4, 0x5f, 0x6a, 0x3a, 0x4c, 0xb8}, + y: fp384{0xf9, 0x79, 0xfc, 0x30, 0x3d, 0xd8, 0x16, 0xe, 0xd3, 0x95, 0xd9, 0x3a, 0x83, 0x87, 0xa4, 0xb6, 0x66, 0xc2, 0x2b, 0xde, 0x2c, 0x4b, 0x78, 0xab, 0xdd, 0x66, 0x9d, 0x88, 0x6d, 0x3d, 0x76, 0x19, 0x87, 0xf0, 0xf9, 0xc8, 0x24, 0x6c, 0x86, 0xa2, 0xc9, 0xb1, 0x5b, 0xa5, 0x28, 0x25, 0x6f, 0xea}, + }, + // 67P + { + x: fp384{0xca, 0x72, 0x17, 0x8b, 0xbc, 0x5c, 0xfc, 0x6e, 0x68, 0x4f, 0x63, 0xb, 0x3b, 0xdd, 0xc7, 0xea, 0x85, 0x61, 0x5d, 0xa5, 0xda, 0x5e, 0xd7, 0x65, 0xf7, 0xd8, 0xf3, 0x6e, 0x7e, 0x63, 0x6e, 0x55, 0x25, 0x9d, 0x90, 0x90, 0x4d, 0x3e, 0xaf, 0xf9, 0x5a, 0x3, 0x53, 0xe1, 0x48, 0xca, 0x62, 0xe4}, + y: fp384{0xd1, 0x9e, 0x10, 0xa, 0x7b, 0x3b, 0x76, 0x52, 0x6, 0x5d, 0x78, 0x42, 0xa6, 0xb1, 0x4a, 0x10, 0xbc, 0xe4, 0x59, 0x3f, 0xed, 0x35, 0x7e, 0x1a, 0x3, 0xc0, 0xeb, 0xc6, 0x46, 0xb7, 0x90, 0x59, 0xf9, 0xc5, 0x62, 0x13, 0xf0, 0x6b, 0x6a, 0x9, 0x94, 0x49, 0x79, 0xac, 0x8a, 0xcb, 0x22, 0x83}, + }, + // 69P + { + x: fp384{0x52, 0x27, 0xc, 0x67, 0x74, 0xdf, 0xd3, 0xf8, 0x28, 0x5e, 0x11, 0xa1, 0x59, 0x28, 0xcb, 0x5c, 0x1b, 0x98, 0x19, 0xf, 0xaa, 0xc8, 0x66, 0xcc, 0x65, 0xfd, 0xab, 0x25, 0xb1, 0xc8, 0xbc, 0xd4, 0xca, 0x3c, 0xdd, 0x4f, 0x16, 0xee, 0x86, 0x2c, 0xf4, 0x35, 0xf7, 0xa3, 0x78, 0x5d, 0xd6, 0x59}, + y: fp384{0xce, 0x55, 0xc, 0x7c, 0x28, 0xde, 0x5a, 0x3, 0x4d, 0x99, 0xd3, 0x45, 0x62, 0x9d, 0x76, 0x57, 0xa4, 0x23, 0xd4, 0x2b, 0x89, 0xe4, 0x3a, 0xd1, 0xbc, 0x66, 0xed, 0x82, 0x48, 0xee, 0xce, 0xa, 0x32, 0x7a, 0x16, 0x73, 0x8b, 0x9e, 0x2c, 0x6f, 0x7a, 0xbd, 0x1d, 0x27, 0x0, 0x1, 0xcd, 0xfb}, + }, + // 71P + { + x: fp384{0xb1, 0xfc, 0xfe, 0xef, 0x45, 0xce, 0x2e, 0xc4, 0x41, 0x14, 0xb1, 0xab, 0xb3, 0x31, 0x57, 0xbf, 0x92, 0xa, 0x8d, 0xe5, 0xcf, 0x15, 0xba, 0x93, 0x54, 0xac, 0x8, 0x35, 0x14, 0xde, 0xbb, 0x27, 0xda, 0x5d, 0x25, 0xfe, 0x38, 0x37, 0x12, 0x2b, 0x70, 0xcd, 0x7e, 0x53, 0x5a, 0xaa, 0x4f, 0xb}, + y: fp384{0xc6, 0x83, 0xec, 0xdd, 0x84, 0xd0, 0x44, 0x6a, 0x3d, 0x52, 0x1, 0x8, 0x4d, 0x3c, 0x79, 0x86, 0x19, 0xe3, 0xb3, 0x25, 0x50, 0x28, 0x4f, 0x15, 0x3a, 0x37, 0x64, 0xce, 0xf1, 0xda, 0x44, 0x21, 0x66, 0x95, 0x13, 0x7, 0xee, 0x24, 0xb9, 0xbd, 0x1c, 0xd0, 0x2a, 0x73, 0x28, 0xea, 0xa7, 0xf9}, + }, + // 73P + { + x: fp384{0x2, 0xa7, 0x51, 0xd8, 0x32, 0x5c, 0x38, 0x43, 0x3b, 0x96, 0xe8, 0x1d, 0xb1, 0xa9, 0xc2, 0xa9, 0x24, 0x9b, 0x8b, 0xdf, 0xb, 0x23, 0x8d, 0x5b, 0xc2, 0x31, 0x37, 0x2d, 0x25, 0xa9, 0x29, 0x90, 0xd2, 0xa7, 0xca, 0xe8, 0x4d, 0xb0, 0x8d, 0xb0, 0x3c, 0x67, 0xf4, 0x2b, 0xe7, 0x83, 0x9d, 0xb8}, + y: fp384{0x24, 0x44, 0xf2, 0xe1, 0xbf, 0x39, 0xfd, 0xa8, 0x16, 0xd6, 0xe8, 0xe1, 0xd6, 0xb6, 0x89, 0x9f, 0x6e, 0x21, 0x1d, 0x4f, 0x7b, 0xc8, 0x9f, 0xaf, 0x59, 0x5a, 0x26, 0x92, 0x3, 0x1e, 0xe2, 0x4, 0x73, 0x63, 0xb8, 0x87, 0x3, 0x74, 0x15, 0xb, 0x62, 0xa1, 0x98, 0x7c, 0x3b, 0xaf, 0x65, 0x6f}, + }, + // 75P + { + x: fp384{0xde, 0x3, 0x73, 0x86, 0x14, 0x40, 0x5d, 0x6b, 0xef, 0xb7, 0xa, 0x42, 0xa, 0xc4, 0xcb, 0xc8, 0x96, 0x9a, 0x54, 0x91, 0x89, 0xcf, 0x28, 0x5b, 0x66, 0x8f, 0x2f, 0x39, 0xb4, 0x31, 0x46, 0x5d, 0xc8, 0xb5, 0x67, 0xf3, 0x3d, 0xe2, 0x7e, 0x4a, 0x15, 0x7a, 0xca, 0xe6, 0xf, 0xae, 0xe0, 0xa1}, + y: fp384{0x7c, 0xa2, 0x9f, 0x13, 0xe1, 0x5e, 0x65, 0x2a, 0x1, 0xb9, 0xfa, 0x50, 0xc4, 0xc2, 0x31, 0xa5, 0x71, 0xed, 0xa, 0x43, 0x69, 0xab, 0x62, 0x67, 0x1d, 0x2e, 0x40, 0xf0, 0xe3, 0x39, 0xe2, 0x64, 0x45, 0xe4, 0x7f, 0x95, 0x42, 0x0, 0x87, 0xd7, 0x62, 0x65, 0x7d, 0x41, 0x62, 0xd8, 0x42, 0xfd}, + }, + // 77P + { + x: fp384{0x3f, 0x1a, 0x50, 0x2a, 0xc1, 0x34, 0x21, 0x9f, 0xa7, 0x93, 0x47, 0x33, 0x40, 0x9b, 0x4a, 0x11, 0x25, 0x61, 0x2a, 0x21, 0xc0, 0xb6, 0xcc, 0x27, 0xa3, 0x78, 0xce, 0x98, 0xb9, 0x30, 0xa9, 0xc, 0x27, 0x26, 0xa1, 0x28, 0xb, 0x6, 0x2e, 0x74, 0x16, 0x98, 0x5c, 0xfa, 0x7, 0x36, 0xd2, 0x63}, + y: fp384{0xdc, 0x91, 0x1f, 0xec, 0xa4, 0xcb, 0x4d, 0x77, 0x23, 0x1d, 0x4d, 0xf3, 0x2e, 0x7e, 0xcd, 0x34, 0x3d, 0x3c, 0xfd, 0x49, 0xe, 0x85, 0x0, 0x15, 0xb2, 0xcf, 0xc9, 0x30, 0x0, 0x95, 0x3, 0xdd, 0xa6, 0x41, 0x29, 0x57, 0xe5, 0xc3, 0x61, 0xce, 0x2e, 0xfd, 0x2c, 0x30, 0x75, 0x10, 0x4b, 0xd4}, + }, + // 79P + { + x: fp384{0x24, 0xc2, 0xa6, 0xe9, 0xd4, 0xd9, 0x11, 0xca, 0x85, 0x45, 0xb7, 0xc3, 0x48, 0xc2, 0xda, 0x2c, 0x71, 0x55, 0xca, 0x4, 0xa2, 0x1, 0x89, 0xe5, 0xf0, 0x1, 0x5d, 0xd1, 0x2d, 0x31, 0x1c, 0x49, 0x7c, 0xcb, 0x69, 0x70, 0x8a, 0x81, 0xcc, 0xb3, 0xda, 0x12, 0x39, 0xd5, 0xa5, 0x45, 0xb2, 0x23}, + y: fp384{0x63, 0xb1, 0xb0, 0xa6, 0x8b, 0x83, 0xf7, 0x30, 0x52, 0x55, 0x77, 0x32, 0x3e, 0xeb, 0x52, 0xa0, 0xc1, 0x5e, 0xb9, 0xee, 0xe9, 0x43, 0x32, 0x40, 0xb3, 0x2e, 0x63, 0x8, 0x1b, 0x30, 0x7b, 0x61, 0xf9, 0x81, 0x2, 0xf3, 0xc9, 0x66, 0x1c, 0x94, 0x55, 0xb2, 0x7a, 0x1d, 0xf8, 0x28, 0x97, 0x4b}, + }, + // 81P + { + x: fp384{0x82, 0xf6, 0x6, 0xdb, 0xcb, 0xd3, 0xbd, 0x3c, 0x85, 0x87, 0xc0, 0x86, 0x3e, 0x47, 0x45, 0xde, 0xfb, 0x1b, 0x7b, 0xe0, 0x60, 0x35, 0xcb, 0xd8, 0xaf, 0x38, 0xf1, 0xea, 0x8f, 0x11, 0xc3, 0xf2, 0xaf, 0x6f, 0x43, 0x9f, 0x85, 0x8a, 0x23, 0x11, 0x4f, 0x34, 0xdf, 0x7c, 0xe3, 0xc2, 0x84, 0x9}, + y: fp384{0x4f, 0x58, 0x82, 0xc3, 0x17, 0x3c, 0x8, 0xe1, 0x40, 0xa2, 0x6f, 0x73, 0xd4, 0x14, 0x9a, 0x95, 0x7d, 0x63, 0xf2, 0x18, 0xf0, 0xd2, 0xad, 0x56, 0x8d, 0x27, 0xdd, 0xe5, 0x5e, 0x7a, 0x4, 0x1, 0xa7, 0x6, 0x27, 0xae, 0x63, 0x8d, 0xe3, 0x5d, 0x7e, 0xb8, 0x45, 0x97, 0x60, 0xb7, 0xd7, 0x9d}, + }, + // 83P + { + x: fp384{0x71, 0x40, 0xe9, 0x44, 0xbf, 0xf0, 0x61, 0x8e, 0xb4, 0x5e, 0xf0, 0xd2, 0x7e, 0x84, 0xcf, 0x44, 0xeb, 0x94, 0x66, 0x4a, 0xd, 0xaa, 0x87, 0x84, 0xb5, 0xaa, 0xa4, 0xc7, 0xa1, 0x8c, 0xb8, 0xee, 0x26, 0x89, 0xa, 0x52, 0x3, 0xaa, 0x5b, 0xc2, 0x5, 0x78, 0x3d, 0xc0, 0x6a, 0xb1, 0x75, 0xa0}, + y: fp384{0xc3, 0x70, 0xd9, 0x13, 0x8a, 0xa4, 0x57, 0xc3, 0x3e, 0x64, 0x9, 0x60, 0x70, 0x13, 0x3c, 0x4e, 0x29, 0x4, 0xe6, 0x49, 0x57, 0xa9, 0x21, 0xcf, 0xda, 0xbc, 0x51, 0x22, 0xba, 0x62, 0xa2, 0xa, 0xe4, 0x78, 0x3c, 0x56, 0xd0, 0x7c, 0x2a, 0xb7, 0xf9, 0x1c, 0xce, 0x69, 0xda, 0xfe, 0x3d, 0x77}, + }, + // 85P + { + x: fp384{0x2d, 0x76, 0x6, 0x9b, 0xdf, 0x2c, 0x5d, 0x93, 0x5a, 0x25, 0x7, 0x82, 0xb8, 0xbb, 0x48, 0x21, 0xd8, 0x53, 0x31, 0x5, 0xdd, 0xca, 0xbd, 0x7b, 0x57, 0x6a, 0x25, 0x73, 0xff, 0xaa, 0x53, 0xd9, 0x1, 0x6f, 0x4e, 0x11, 0xe1, 0x8f, 0xa0, 0xb0, 0x4d, 0x4d, 0xe6, 0x46, 0x54, 0x2, 0x35, 0xc8}, + y: fp384{0x57, 0xc1, 0xdb, 0x0, 0xd8, 0xba, 0xcf, 0xe7, 0x69, 0xe9, 0xfb, 0x71, 0x2, 0xae, 0x2a, 0x39, 0x14, 0xe3, 0xeb, 0xb, 0x2a, 0xa7, 0x22, 0x74, 0xf2, 0x52, 0xaf, 0x2c, 0xd2, 0x55, 0xd4, 0xc3, 0x95, 0x51, 0x89, 0xe2, 0x9f, 0x83, 0x31, 0xa2, 0x13, 0xf2, 0x93, 0xc9, 0x92, 0x8d, 0x21, 0x6c}, + }, + // 87P + { + x: fp384{0x2e, 0x37, 0xa0, 0x4a, 0x2e, 0xa0, 0x11, 0x4f, 0x75, 0x77, 0x96, 0x10, 0x30, 0x47, 0x42, 0x59, 0x95, 0x91, 0x80, 0x8b, 0xba, 0xc1, 0xe, 0xdf, 0xf1, 0x3a, 0x3c, 0x9a, 0x8d, 0x92, 0xa, 0xf3, 0x2e, 0x6b, 0x7b, 0x38, 0x20, 0x3, 0x84, 0xc4, 0x22, 0xbb, 0x0, 0xa5, 0x17, 0x34, 0x1b, 0x1c}, + y: fp384{0xf2, 0x66, 0x32, 0xbf, 0xc7, 0xe6, 0xe, 0x69, 0x81, 0x96, 0x90, 0xa7, 0x74, 0x6d, 0x24, 0x18, 0x8f, 0xa8, 0x84, 0xf9, 0x54, 0x24, 0xdf, 0xde, 0x9, 0x9f, 0x55, 0xe7, 0x75, 0x41, 0x94, 0x31, 0xb7, 0x4d, 0x7b, 0xe, 0x88, 0x81, 0xac, 0xbd, 0x68, 0xfe, 0x96, 0xe9, 0xae, 0x6f, 0x4, 0x9f}, + }, + // 89P + { + x: fp384{0xac, 0xd4, 0x71, 0x2d, 0x4b, 0x9, 0x62, 0xc, 0xe0, 0x63, 0xf1, 0x4b, 0xdc, 0x9f, 0xa4, 0x18, 0x1f, 0x72, 0x96, 0x0, 0xb, 0xf3, 0x3d, 0x46, 0x7b, 0x5b, 0xe5, 0xc8, 0x4a, 0x64, 0xd3, 0x67, 0xb6, 0xe2, 0xe0, 0x19, 0x9d, 0xd2, 0x3d, 0xd6, 0x61, 0x73, 0x4b, 0x16, 0xde, 0x5, 0xd1, 0xd0}, + y: fp384{0x8e, 0x18, 0x17, 0x2, 0x4e, 0x5c, 0x86, 0xe5, 0x7e, 0xcf, 0x93, 0x20, 0x1b, 0xb7, 0x61, 0x78, 0x3c, 0x25, 0xaa, 0x2d, 0x51, 0xf0, 0xcc, 0x65, 0xc0, 0xe4, 0x4d, 0xb, 0x9, 0x1, 0x77, 0x14, 0xd9, 0x62, 0xb9, 0x40, 0x35, 0x24, 0x28, 0x1d, 0xf3, 0x37, 0xdf, 0xb8, 0x39, 0xe9, 0xc7, 0x1}, + }, + // 91P + { + x: fp384{0x58, 0x8, 0xba, 0x9c, 0x9c, 0x40, 0xea, 0x5d, 0x63, 0x3f, 0xae, 0x14, 0x1b, 0x42, 0xc2, 0x35, 0x8a, 0x61, 0xc2, 0xbb, 0x34, 0xe5, 0xf6, 0xa4, 0x5f, 0x4f, 0xd7, 0x42, 0x7d, 0x97, 0x4b, 0xb0, 0xb7, 0x3e, 0xdc, 0x59, 0x27, 0x38, 0xe7, 0xe7, 0xb0, 0x23, 0xf2, 0x8b, 0x34, 0x52, 0xf, 0xeb}, + y: fp384{0x58, 0x51, 0xc7, 0xf, 0x67, 0x51, 0x1c, 0x99, 0x6d, 0x2c, 0xde, 0x3f, 0x1a, 0x81, 0x12, 0xd0, 0x3d, 0x34, 0x36, 0x92, 0x31, 0xb3, 0xd0, 0x9, 0xa0, 0xcb, 0xa2, 0x63, 0xc8, 0xe0, 0x78, 0xcb, 0x78, 0x84, 0xb8, 0x9a, 0xbd, 0xb3, 0x9, 0xb, 0xe2, 0xc6, 0x16, 0xf1, 0x3, 0xc7, 0xca, 0x47}, + }, + // 93P + { + x: fp384{0xaf, 0x80, 0x2d, 0xe3, 0x71, 0x4d, 0xd1, 0xeb, 0x5e, 0x67, 0x80, 0x53, 0x4f, 0xc2, 0x1c, 0x1b, 0xcd, 0x42, 0x61, 0xb1, 0x64, 0x47, 0x63, 0x1c, 0xe, 0xb0, 0xfd, 0x7c, 0xde, 0x45, 0x35, 0x7a, 0x54, 0x51, 0xd1, 0xcf, 0x89, 0x16, 0xf9, 0x2d, 0xd7, 0xa2, 0xa, 0x43, 0xb3, 0x55, 0x33, 0x81}, + y: fp384{0x7e, 0xca, 0xf2, 0x85, 0xc9, 0xe2, 0xdc, 0x16, 0x79, 0xbb, 0x3a, 0xe0, 0xf7, 0x3, 0xe3, 0xd9, 0x98, 0x66, 0xb0, 0x3c, 0x10, 0xa8, 0x7c, 0xfe, 0xcb, 0xd, 0x67, 0x71, 0x5b, 0x42, 0x2a, 0x57, 0xe5, 0x68, 0xa2, 0x90, 0x54, 0x39, 0x1b, 0xc7, 0x9, 0x9d, 0xbf, 0x66, 0x8f, 0xf3, 0x71, 0xc0}, + }, + // 95P + { + x: fp384{0x91, 0x3c, 0xbc, 0xd, 0x63, 0xf2, 0xc0, 0xf, 0xb1, 0xcb, 0xc0, 0x9b, 0x16, 0xca, 0x74, 0x9f, 0x77, 0x89, 0xf9, 0xe, 0x9d, 0x7b, 0x60, 0x4a, 0x79, 0x2b, 0x7d, 0xa2, 0xef, 0xb, 0xe9, 0xb, 0xe1, 0x23, 0x7f, 0xad, 0xb5, 0xb, 0x7b, 0x25, 0xe4, 0xd1, 0xea, 0x2f, 0xe5, 0x2f, 0xf4, 0xb8}, + y: fp384{0x92, 0xb5, 0x93, 0x5f, 0x31, 0xe4, 0x78, 0xde, 0x7d, 0x61, 0x79, 0xfd, 0xeb, 0xe7, 0x5f, 0x50, 0xfb, 0xf9, 0x99, 0xdd, 0x14, 0x3f, 0xcc, 0x45, 0x91, 0xb5, 0xc7, 0x3b, 0xe8, 0x64, 0xf, 0x8c, 0xf9, 0x93, 0xab, 0x55, 0xed, 0x4d, 0x36, 0x65, 0x6e, 0x28, 0xdf, 0x42, 0xa5, 0x4b, 0x6d, 0xbb}, + }, + // 97P + { + x: fp384{0xe2, 0x54, 0x5c, 0x7f, 0x5d, 0x3, 0xd2, 0x7c, 0x2c, 0x49, 0x49, 0x4a, 0x0, 0xdb, 0xf0, 0xc1, 0x98, 0x8f, 0x27, 0x65, 0x30, 0x3e, 0x27, 0x8f, 0x9d, 0x9d, 0xef, 0x6f, 0xd1, 0x1e, 0x24, 0x10, 0x16, 0x96, 0x6, 0xac, 0x1b, 0xe5, 0xb1, 0x87, 0x7f, 0x80, 0xd, 0x17, 0xcd, 0x1a, 0x8, 0x8c}, + y: fp384{0x98, 0xb5, 0x73, 0x1c, 0xea, 0x51, 0x50, 0x0, 0xf4, 0x5b, 0x86, 0xd6, 0x12, 0x55, 0xeb, 0xe4, 0xd3, 0x5d, 0xe0, 0x30, 0xf4, 0x4e, 0xd2, 0xd7, 0x9e, 0xa3, 0x89, 0x78, 0xed, 0xe4, 0x47, 0xcb, 0x64, 0x69, 0xf5, 0xc4, 0x91, 0x24, 0x3e, 0x4c, 0x6, 0x30, 0xf0, 0xc4, 0x8e, 0xb7, 0xc6, 0x83}, + }, + // 99P + { + x: fp384{0xa1, 0x84, 0x5f, 0xb0, 0xa9, 0x35, 0x38, 0x6e, 0x4e, 0x17, 0xaa, 0x41, 0xf, 0x9e, 0x4f, 0xbb, 0x69, 0xa4, 0x8b, 0x70, 0x7c, 0x17, 0x41, 0x1b, 0xbd, 0xf8, 0xc8, 0x79, 0xb4, 0xe6, 0xb2, 0xb9, 0xbd, 0xd6, 0xd9, 0x82, 0x9, 0xae, 0x9c, 0xd4, 0x3a, 0x22, 0x28, 0xbb, 0x0, 0x5f, 0x8c, 0x64}, + y: fp384{0xa5, 0xc4, 0x8c, 0x5d, 0x76, 0x85, 0xf4, 0x4, 0x8d, 0xa3, 0xa0, 0x81, 0xdd, 0x96, 0x30, 0xfe, 0xe1, 0x47, 0x82, 0x70, 0x8f, 0x13, 0x75, 0x66, 0x8, 0xea, 0xa0, 0xd1, 0xd8, 0x59, 0xf7, 0xd6, 0x98, 0xd, 0x19, 0x76, 0xb1, 0x93, 0x74, 0x1f, 0xbd, 0x63, 0x2d, 0x32, 0x8b, 0x69, 0xe1, 0x3}, + }, + // 101P + { + x: fp384{0xac, 0xde, 0x8a, 0x9b, 0xf6, 0xc6, 0x66, 0x8e, 0x70, 0x6d, 0xc6, 0x50, 0xfe, 0xf5, 0x39, 0xb5, 0x1a, 0xfb, 0xcc, 0x2e, 0x2c, 0xcd, 0xdd, 0x73, 0xfc, 0x5c, 0x8b, 0x8b, 0xad, 0x1f, 0x3b, 0xd7, 0x10, 0x87, 0xa1, 0x47, 0x35, 0x94, 0xdd, 0x9c, 0xdb, 0x14, 0xc8, 0x7b, 0xbf, 0x92, 0x23, 0x7e}, + y: fp384{0xe8, 0x74, 0x8f, 0x6c, 0xc0, 0x93, 0x41, 0x91, 0x4d, 0xc0, 0x67, 0x1d, 0x21, 0xdc, 0xed, 0xff, 0x93, 0x86, 0xd6, 0xa, 0x85, 0x41, 0xef, 0x1f, 0x54, 0x80, 0x3e, 0xf5, 0x9a, 0x1d, 0x3e, 0xa7, 0x4, 0xc1, 0xe, 0x42, 0x6f, 0x65, 0x9b, 0x90, 0xde, 0xe1, 0x2, 0x17, 0x36, 0x2d, 0x87, 0x73}, + }, + // 103P + { + x: fp384{0x5f, 0x5d, 0x35, 0x21, 0xaa, 0xab, 0x4c, 0xd2, 0xbd, 0x2, 0xd4, 0xaf, 0xe, 0xb1, 0xcb, 0xdd, 0xe1, 0x1d, 0xc2, 0x29, 0x43, 0xd1, 0xf0, 0xd3, 0xfc, 0x84, 0x3d, 0xf2, 0x94, 0x5a, 0xd9, 0x1a, 0xd, 0x53, 0xda, 0xe3, 0x2, 0x79, 0x3a, 0x11, 0x48, 0x10, 0x67, 0x64, 0x8e, 0xa8, 0xd, 0x59}, + y: fp384{0xda, 0xf0, 0x5b, 0x92, 0x82, 0x82, 0xa5, 0xf4, 0xb, 0x6e, 0x2e, 0xe6, 0xe7, 0xe4, 0x52, 0x1a, 0xfd, 0x4d, 0x6f, 0xd8, 0x4e, 0xbb, 0xeb, 0x97, 0xc3, 0xd1, 0xfa, 0x58, 0xc3, 0xd1, 0x1b, 0x60, 0x52, 0x5, 0xe4, 0x2d, 0xa6, 0xd5, 0xe2, 0xd6, 0xed, 0xdb, 0x73, 0x72, 0x37, 0x71, 0x9e, 0xc}, + }, + // 105P + { + x: fp384{0x45, 0x28, 0x80, 0xe5, 0x85, 0x19, 0xe9, 0xe6, 0xbc, 0x1, 0xe2, 0xa6, 0xae, 0xd6, 0x67, 0xc3, 0xbe, 0x23, 0x2c, 0xdd, 0xe5, 0x30, 0x7f, 0x7, 0xe3, 0x75, 0x50, 0x27, 0x9c, 0xf3, 0x2e, 0x86, 0x42, 0x65, 0x80, 0x1a, 0x44, 0x75, 0x2c, 0x2, 0x9c, 0xd0, 0xeb, 0x99, 0x3a, 0x3e, 0xab, 0xd0}, + y: fp384{0xb8, 0x28, 0x90, 0xd9, 0x60, 0xef, 0x67, 0x7d, 0x6b, 0x13, 0xad, 0xa9, 0x4f, 0x36, 0xcf, 0xa5, 0x8c, 0xff, 0x1f, 0xa9, 0xa9, 0x23, 0x2c, 0x37, 0x60, 0x25, 0x20, 0x47, 0x95, 0x7a, 0xd5, 0xd3, 0x23, 0x19, 0x2f, 0x15, 0x45, 0xf1, 0xba, 0xce, 0xa5, 0x73, 0x89, 0x6d, 0x2c, 0xe7, 0x3a, 0xcc}, + }, + // 107P + { + x: fp384{0x23, 0x3f, 0x36, 0xf4, 0xe1, 0xe8, 0x18, 0xd7, 0x90, 0x14, 0x76, 0x4f, 0x20, 0x1e, 0xc2, 0x73, 0x46, 0x5d, 0x7, 0xa0, 0x25, 0xec, 0xc6, 0x27, 0xd0, 0x40, 0x3f, 0x75, 0x56, 0xf4, 0xd4, 0xcc, 0x22, 0x16, 0xa9, 0x60, 0x49, 0x4c, 0x99, 0x50, 0x48, 0xb, 0x74, 0x3f, 0x79, 0x4d, 0x96, 0x77}, + y: fp384{0x2, 0xed, 0x47, 0xf6, 0xe2, 0x55, 0xc9, 0xf4, 0x79, 0x3d, 0x19, 0xe4, 0x9a, 0xc7, 0x4f, 0x84, 0x9f, 0x3f, 0x7f, 0xa2, 0xd1, 0x74, 0x83, 0x48, 0x63, 0x94, 0x65, 0xb8, 0x45, 0xad, 0xd6, 0x95, 0x39, 0x8e, 0x43, 0xc7, 0x78, 0x9f, 0xd9, 0xe1, 0xf2, 0xed, 0xfc, 0x2a, 0x17, 0xa7, 0x82, 0x51}, + }, + // 109P + { + x: fp384{0xfa, 0xb1, 0xde, 0xb2, 0x27, 0x2e, 0xfc, 0xe, 0x4b, 0x18, 0xc1, 0x3c, 0x83, 0x35, 0x7d, 0x9c, 0xc8, 0xbd, 0xdc, 0xa8, 0xf8, 0xc5, 0x41, 0x58, 0xbb, 0x3a, 0xd9, 0xf0, 0x8a, 0xa5, 0x11, 0xa9, 0x87, 0xf8, 0xcf, 0xb9, 0x33, 0x8c, 0xd1, 0x3c, 0x3, 0x24, 0x3f, 0xf1, 0xbb, 0x27, 0x3c, 0x6e}, + y: fp384{0xe6, 0x3a, 0x53, 0xea, 0x12, 0x17, 0x39, 0x5b, 0x5, 0x4c, 0x29, 0x54, 0xb, 0xd9, 0xcd, 0x35, 0xf4, 0xda, 0x60, 0xf5, 0xb4, 0x7f, 0xb5, 0x2d, 0x1d, 0x41, 0xa1, 0xf5, 0xca, 0x33, 0xad, 0x75, 0x68, 0x75, 0x7c, 0x7f, 0x4e, 0x9a, 0xe1, 0x87, 0x5, 0x77, 0x8c, 0x19, 0x56, 0x6c, 0xc4, 0xf4}, + }, + // 111P + { + x: fp384{0xb8, 0x74, 0xbe, 0x5, 0x48, 0xb7, 0xb3, 0x8d, 0xab, 0x5f, 0x76, 0x0, 0x50, 0x80, 0xe0, 0x8, 0xd9, 0x7f, 0x44, 0x50, 0xb, 0x72, 0x44, 0x67, 0x3, 0xbe, 0x27, 0xc7, 0x12, 0x20, 0x55, 0x27, 0x7f, 0x66, 0x2, 0x8b, 0x51, 0x7b, 0x90, 0xc3, 0x14, 0xef, 0xbd, 0xb9, 0xbc, 0xaa, 0x58, 0xa1}, + y: fp384{0x6f, 0xc5, 0x9c, 0xf4, 0x3, 0xfa, 0xdd, 0xaa, 0x96, 0xfb, 0x5, 0xe3, 0xe4, 0xbe, 0x95, 0x10, 0x19, 0x26, 0xc3, 0x93, 0xbc, 0x54, 0xff, 0xa2, 0x85, 0x26, 0xeb, 0x4a, 0xf9, 0xe1, 0xf8, 0xcc, 0xfe, 0xd9, 0x0, 0x23, 0xb8, 0x47, 0x4b, 0xc6, 0xa9, 0x9d, 0x27, 0x8, 0x68, 0x77, 0xca, 0x9}, + }, + // 113P + { + x: fp384{0x12, 0xda, 0xb, 0x9b, 0xb7, 0x86, 0x5b, 0xf8, 0x72, 0x35, 0xe3, 0xbb, 0xd1, 0x16, 0xc6, 0xd2, 0x7f, 0xd2, 0x2b, 0x85, 0xef, 0x15, 0x22, 0xe7, 0xc5, 0x7f, 0x9b, 0x13, 0x9, 0x5b, 0x81, 0xe9, 0xc2, 0xa0, 0x7f, 0x8d, 0x4, 0xdb, 0x5b, 0x4a, 0x86, 0xa9, 0x86, 0xff, 0x17, 0xcd, 0x9f, 0x86}, + y: fp384{0xbe, 0xf6, 0xda, 0x91, 0x17, 0x52, 0x78, 0x32, 0x4, 0x4d, 0x66, 0xd6, 0xf1, 0x7, 0xc0, 0xb9, 0x29, 0x20, 0xb1, 0xe7, 0x2a, 0x72, 0x98, 0x69, 0x67, 0xbb, 0x31, 0xfc, 0xd9, 0xde, 0x7f, 0xbf, 0x57, 0x77, 0xb8, 0x31, 0x7c, 0xd1, 0xe, 0x3d, 0x4b, 0x94, 0xf7, 0x55, 0xf2, 0x3d, 0xb, 0xa1}, + }, + // 115P + { + x: fp384{0x56, 0x8f, 0x49, 0x34, 0x3b, 0x67, 0x4e, 0xaa, 0x6d, 0x45, 0x43, 0xa0, 0xb3, 0xf7, 0x20, 0x91, 0x26, 0x88, 0xa4, 0x26, 0xf3, 0x68, 0xe8, 0x33, 0xfd, 0x6b, 0x40, 0x32, 0xf4, 0xcc, 0x7a, 0xa9, 0x46, 0x7, 0xc5, 0x23, 0x41, 0x2a, 0x44, 0x84, 0x2d, 0x98, 0x50, 0x73, 0x65, 0x69, 0x4c, 0x27}, + y: fp384{0xaa, 0x9e, 0xdc, 0x95, 0xfb, 0xb7, 0x6, 0x31, 0x41, 0xe2, 0x7a, 0xec, 0xb1, 0x1d, 0xbf, 0x3e, 0x86, 0x5b, 0x8a, 0x84, 0xb8, 0x39, 0xdc, 0x0, 0xc6, 0x2e, 0x31, 0xf6, 0x3a, 0x34, 0x9a, 0xdf, 0x3, 0x1f, 0x12, 0xcf, 0x32, 0x9e, 0x2, 0x75, 0xdb, 0x11, 0x5a, 0xcf, 0xf6, 0xbd, 0xc5, 0xc0}, + }, + // 117P + { + x: fp384{0x9a, 0x55, 0x23, 0x7, 0xa8, 0xe7, 0xcc, 0xfd, 0x70, 0xd0, 0x29, 0xa2, 0xe, 0xb3, 0x32, 0x95, 0x61, 0x79, 0x85, 0xfe, 0x94, 0x52, 0x3e, 0x61, 0x8d, 0x73, 0xea, 0x9a, 0x9a, 0x74, 0x9e, 0xad, 0x53, 0xba, 0xac, 0x23, 0xae, 0x6b, 0x7a, 0x51, 0x8b, 0x56, 0x23, 0x78, 0xcd, 0x74, 0x67, 0xf2}, + y: fp384{0x4d, 0x11, 0x53, 0xae, 0xa1, 0x67, 0x7, 0x94, 0x7b, 0x5, 0x8c, 0xeb, 0x4b, 0x3a, 0xcb, 0xc6, 0x0, 0xf6, 0xae, 0x6, 0x5f, 0xc0, 0x99, 0x6d, 0x81, 0x84, 0x79, 0xb2, 0x8d, 0x9b, 0x72, 0xa6, 0x5b, 0x58, 0xf1, 0xbf, 0x82, 0x65, 0x54, 0x7a, 0x73, 0x97, 0xb0, 0x82, 0xb0, 0x9a, 0x50, 0x70}, + }, + // 119P + { + x: fp384{0xd1, 0xd8, 0x29, 0x73, 0xac, 0x95, 0x25, 0x73, 0xc4, 0xbc, 0x73, 0xab, 0x8d, 0x7, 0xf9, 0x59, 0xde, 0x9d, 0xcf, 0x21, 0xb4, 0xe7, 0x55, 0xcd, 0x27, 0xab, 0x5f, 0x87, 0xa1, 0xb, 0x63, 0xa4, 0xcd, 0xf4, 0x9c, 0xec, 0xb8, 0x7f, 0x16, 0x13, 0x77, 0x5, 0x8b, 0x99, 0x57, 0x5c, 0xfc, 0xd2}, + y: fp384{0x6f, 0x1b, 0xf5, 0x5f, 0xc1, 0x60, 0x13, 0x76, 0xeb, 0x9c, 0xcf, 0x6, 0xf2, 0x96, 0xdb, 0xb2, 0x46, 0x8f, 0xdc, 0x99, 0x48, 0xa6, 0x77, 0xd6, 0xe5, 0xb7, 0x9, 0x91, 0xbc, 0xca, 0x9e, 0xeb, 0xa3, 0xb7, 0x21, 0x92, 0xac, 0xb1, 0x1b, 0x9a, 0xcd, 0xa5, 0x40, 0x8a, 0x28, 0x36, 0x65, 0xb1}, + }, + // 121P + { + x: fp384{0x8d, 0xfa, 0x9d, 0x18, 0x40, 0xba, 0x98, 0x51, 0x1e, 0xab, 0x96, 0xa8, 0xe3, 0x16, 0x9a, 0x8c, 0xe4, 0x44, 0x67, 0xba, 0xd6, 0xd5, 0x33, 0x6c, 0x8a, 0x77, 0x72, 0x77, 0xd4, 0xfb, 0x9a, 0xc2, 0xe0, 0xf7, 0x29, 0x93, 0x95, 0x3c, 0xdf, 0x65, 0x81, 0xdb, 0x91, 0x38, 0x1e, 0x3f, 0xcd, 0x79}, + y: fp384{0x9b, 0x1, 0x84, 0xd7, 0xb, 0x8f, 0xaa, 0xca, 0x62, 0x8e, 0x2, 0xe9, 0x6b, 0x4f, 0x40, 0xf5, 0x85, 0x89, 0x4d, 0xae, 0x54, 0x7a, 0x50, 0x95, 0x1b, 0xf2, 0x16, 0xb7, 0xa8, 0x39, 0x1d, 0x9c, 0x7e, 0x5b, 0x26, 0xf8, 0xf9, 0xd, 0x3d, 0x47, 0x16, 0x9, 0x4d, 0xc6, 0xa1, 0xed, 0xae, 0x11}, + }, + // 123P + { + x: fp384{0x80, 0xb, 0x4c, 0xc, 0x48, 0x98, 0x11, 0x15, 0xfe, 0x18, 0x10, 0x2a, 0x4a, 0x7d, 0xb0, 0x46, 0x7b, 0x90, 0x80, 0xea, 0xeb, 0xc3, 0xa9, 0x14, 0x5, 0x44, 0x95, 0x42, 0xee, 0x5, 0x3d, 0x4b, 0xd2, 0x18, 0x4, 0x55, 0x78, 0xfd, 0xd6, 0xd4, 0xa6, 0x82, 0xdc, 0x21, 0x63, 0x4f, 0x4a, 0x8e}, + y: fp384{0xd9, 0xb9, 0x78, 0xa1, 0xf7, 0xd7, 0xe4, 0x1b, 0x9f, 0x8c, 0x78, 0x70, 0x4, 0xba, 0xc6, 0x83, 0xe8, 0xf7, 0x30, 0x9f, 0x3e, 0xaf, 0x82, 0x5a, 0x7b, 0x44, 0x8f, 0x49, 0xf, 0xab, 0x86, 0x8a, 0x33, 0xcf, 0x5c, 0xc2, 0xec, 0xbc, 0xba, 0x3, 0xdd, 0x8a, 0x79, 0x1a, 0xed, 0x62, 0xc4, 0x74}, + }, + // 125P + { + x: fp384{0xbb, 0x44, 0xfb, 0x3c, 0xbc, 0xb8, 0x12, 0x96, 0xda, 0x6a, 0x9d, 0x71, 0x77, 0x56, 0xf2, 0x70, 0xe2, 0x14, 0xf6, 0x46, 0xaa, 0x65, 0xea, 0x50, 0x6d, 0x35, 0x50, 0x34, 0xcf, 0xa8, 0x36, 0x94, 0xac, 0x3, 0x67, 0x3, 0xad, 0xeb, 0xd6, 0x7a, 0xae, 0x48, 0xcf, 0x45, 0xb2, 0xda, 0xb2, 0x3}, + y: fp384{0x1e, 0x6, 0x17, 0x41, 0x2a, 0x3d, 0x95, 0x21, 0xa4, 0x55, 0x4f, 0xed, 0x30, 0xb7, 0x3f, 0xdf, 0x8e, 0xab, 0x19, 0xe1, 0x41, 0x36, 0xf5, 0xec, 0xaa, 0x87, 0x91, 0x21, 0xbc, 0x41, 0x1f, 0x55, 0x2, 0x58, 0x9, 0xb0, 0x4b, 0xa7, 0xd5, 0x7c, 0xcb, 0x5c, 0xf3, 0x72, 0xf5, 0xbf, 0x33, 0x89}, + }, + // 127P + { + x: fp384{0xec, 0x1, 0xa1, 0xec, 0x46, 0x32, 0x75, 0xf7, 0xaf, 0x4, 0x96, 0x56, 0x4c, 0xfa, 0xac, 0x2a, 0x79, 0x62, 0x2c, 0x52, 0x34, 0x8f, 0xf2, 0xee, 0xf, 0x1e, 0x23, 0x74, 0x38, 0xe6, 0xfd, 0x96, 0x9d, 0xf0, 0xe0, 0xd6, 0x1b, 0xb1, 0x2b, 0xa9, 0xb4, 0x5d, 0x39, 0xf, 0x74, 0x4e, 0xe3, 0xbb}, + y: fp384{0xf9, 0x3c, 0x94, 0xbf, 0xdd, 0x59, 0x6e, 0xaa, 0xaa, 0xd5, 0x8a, 0x1, 0xbe, 0xbd, 0x98, 0x56, 0x19, 0xc5, 0x67, 0xa4, 0x44, 0x2a, 0xd2, 0x88, 0xe, 0xb, 0x18, 0xad, 0x39, 0xe3, 0x29, 0x9e, 0x94, 0x2f, 0x7b, 0x36, 0x2e, 0x83, 0xd6, 0xf3, 0x69, 0x80, 0x94, 0xe3, 0x61, 0x2a, 0xe9, 0xc7}, + }, +} diff --git a/src/circl/internal/conv/conv.go b/src/circl/internal/conv/conv.go new file mode 100644 index 00000000000..9ee8f5e6d2e --- /dev/null +++ b/src/circl/internal/conv/conv.go @@ -0,0 +1,89 @@ +package conv + +import ( + "fmt" + "math/big" + "strings" +) + +// BytesLe2Hex returns an hexadecimal string of a number stored in a +// little-endian order slice x. +func BytesLe2Hex(x []byte) string { + b := &strings.Builder{} + b.Grow(2*len(x) + 2) + fmt.Fprint(b, "0x") + if len(x) == 0 { + fmt.Fprint(b, "00") + } + for i := len(x) - 1; i >= 0; i-- { + fmt.Fprintf(b, "%02x", x[i]) + } + return b.String() +} + +// BytesLe2BigInt converts a little-endian slice x into a big-endian +// math/big.Int. +func BytesLe2BigInt(x []byte) *big.Int { + n := len(x) + b := new(big.Int) + if len(x) > 0 { + y := make([]byte, n) + for i := 0; i < n; i++ { + y[n-1-i] = x[i] + } + b.SetBytes(y) + } + return b +} + +// BigInt2BytesLe stores a positive big.Int number x into a little-endian slice z. +// The slice is modified if the bitlength of x <= 8*len(z) (padding with zeros). +// If x does not fit in the slice or is negative, z is not modified. +func BigInt2BytesLe(z []byte, x *big.Int) { + xLen := (x.BitLen() + 7) >> 3 + zLen := len(z) + if zLen >= xLen && x.Sign() >= 0 { + y := x.Bytes() + for i := 0; i < xLen; i++ { + z[i] = y[xLen-1-i] + } + for i := xLen; i < zLen; i++ { + z[i] = 0 + } + } +} + +// Uint64Le2BigInt converts a little-endian slice x into a big number. +func Uint64Le2BigInt(x []uint64) *big.Int { + n := len(x) + b := new(big.Int) + var bi big.Int + for i := n - 1; i >= 0; i-- { + bi.SetUint64(x[i]) + b.Lsh(b, 64) + b.Add(b, &bi) + } + return b +} + +// BigInt2Uint64Le stores a positive big.Int number x into a little-endian slice z. +// The slice is modified if the bitlength of x <= 8*len(z) (padding with zeros). +// If x does not fit in the slice or is negative, z is not modified. +func BigInt2Uint64Le(z []uint64, x *big.Int) { + xLen := (x.BitLen() + 63) >> 6 // number of 64-bit words + zLen := len(z) + if zLen >= xLen && x.Sign() > 0 { + var y, yi big.Int + y.Set(x) + two64 := big.NewInt(1) + two64.Lsh(two64, 64).Sub(two64, big.NewInt(1)) + for i := 0; i < xLen; i++ { + yi.And(&y, two64) + z[i] = yi.Uint64() + y.Rsh(&y, 64) + } + } + for i := xLen; i < zLen; i++ { + z[i] = 0 + } +} diff --git a/src/circl/internal/shake/LICENSE b/src/circl/internal/shake/LICENSE new file mode 100644 index 00000000000..6a66aea5eaf --- /dev/null +++ b/src/circl/internal/shake/LICENSE @@ -0,0 +1,27 @@ +Copyright (c) 2009 The Go Authors. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are +met: + + * Redistributions of source code must retain the above copyright +notice, this list of conditions and the following disclaimer. + * Redistributions in binary form must reproduce the above +copyright notice, this list of conditions and the following disclaimer +in the documentation and/or other materials provided with the +distribution. + * Neither the name of Google Inc. nor the names of its +contributors may be used to endorse or promote products derived from +this software without specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR +A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT +OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT +LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, +DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY +THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/circl/internal/shake/doc.go b/src/circl/internal/shake/doc.go new file mode 100644 index 00000000000..2e1edd215d2 --- /dev/null +++ b/src/circl/internal/shake/doc.go @@ -0,0 +1,7 @@ +// Package shake provides implementation of SHA-3 and cSHAKE +// This code has been copied from golang.org/x/crypto/sha3 +// and heavily modified. This version doesn't use heap when +// computing cSHAKE. It makes it possible to allocate +// heap once when object is created and then reuse heap +// allocated structures in subsequent calls. +package shake diff --git a/src/circl/internal/shake/keccakf.go b/src/circl/internal/shake/keccakf.go new file mode 100644 index 00000000000..bc8fed362e3 --- /dev/null +++ b/src/circl/internal/shake/keccakf.go @@ -0,0 +1,384 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !amd64 appengine gccgo + +package shake + +// KeccakF1600 applies the Keccak permutation to a 1600b-wide +// state represented as a slice of 25 uint64s. +func KeccakF1600(a *[25]uint64) { + // Implementation translated from Keccak-inplace.c + // in the keccak reference code. + var t, bc0, bc1, bc2, bc3, bc4, d0, d1, d2, d3, d4 uint64 + + for i := 0; i < 24; i += 4 { + // Combines the 5 steps in each round into 2 steps. + // Unrolls 4 rounds per loop and spreads some steps across rounds. + + // Round 1 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[6] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[12] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[18] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[24] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i] + a[6] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[16] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[22] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[3] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[10] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[1] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[7] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[19] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[20] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[11] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[23] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[4] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[5] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[2] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[8] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[14] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[15] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + // Round 2 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[16] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[7] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[23] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[14] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+1] + a[16] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[11] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[2] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[18] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[20] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[6] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[22] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[4] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[15] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[1] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[8] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[24] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[10] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[12] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[3] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[19] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[5] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + // Round 3 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[11] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[22] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[8] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[19] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+2] + a[11] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[1] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[12] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[23] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[15] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[16] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[2] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[24] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[5] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[6] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[3] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[14] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[20] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[7] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[18] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[4] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[10] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + // Round 4 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[1] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[2] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[3] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[4] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ RC[i+3] + a[1] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[6] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[7] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[8] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[5] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[11] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[12] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[14] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[10] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[16] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[18] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[19] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[15] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[22] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[23] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[24] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[20] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + } +} diff --git a/src/circl/internal/shake/keccakf_amd64.go b/src/circl/internal/shake/keccakf_amd64.go new file mode 100644 index 00000000000..3a0a9185200 --- /dev/null +++ b/src/circl/internal/shake/keccakf_amd64.go @@ -0,0 +1,13 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64,!appengine,!gccgo + +package shake + +// This function is implemented in keccakf_amd64.s. + +//go:noescape + +func KeccakF1600(a *[25]uint64) diff --git a/src/circl/internal/shake/keccakf_amd64.s b/src/circl/internal/shake/keccakf_amd64.s new file mode 100644 index 00000000000..bffb16a72e9 --- /dev/null +++ b/src/circl/internal/shake/keccakf_amd64.s @@ -0,0 +1,390 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64,!appengine,!gccgo + +// This code was translated into a form compatible with 6a from the public +// domain sources at https://github.com/gvanas/KeccakCodePackage + +// Offsets in state +#define _ba (0*8) +#define _be (1*8) +#define _bi (2*8) +#define _bo (3*8) +#define _bu (4*8) +#define _ga (5*8) +#define _ge (6*8) +#define _gi (7*8) +#define _go (8*8) +#define _gu (9*8) +#define _ka (10*8) +#define _ke (11*8) +#define _ki (12*8) +#define _ko (13*8) +#define _ku (14*8) +#define _ma (15*8) +#define _me (16*8) +#define _mi (17*8) +#define _mo (18*8) +#define _mu (19*8) +#define _sa (20*8) +#define _se (21*8) +#define _si (22*8) +#define _so (23*8) +#define _su (24*8) + +// Temporary registers +#define rT1 AX + +// Round vars +#define rpState DI +#define rpStack SP + +#define rDa BX +#define rDe CX +#define rDi DX +#define rDo R8 +#define rDu R9 + +#define rBa R10 +#define rBe R11 +#define rBi R12 +#define rBo R13 +#define rBu R14 + +#define rCa SI +#define rCe BP +#define rCi rBi +#define rCo rBo +#define rCu R15 + +#define MOVQ_RBI_RCE MOVQ rBi, rCe +#define XORQ_RT1_RCA XORQ rT1, rCa +#define XORQ_RT1_RCE XORQ rT1, rCe +#define XORQ_RBA_RCU XORQ rBa, rCu +#define XORQ_RBE_RCU XORQ rBe, rCu +#define XORQ_RDU_RCU XORQ rDu, rCu +#define XORQ_RDA_RCA XORQ rDa, rCa +#define XORQ_RDE_RCE XORQ rDe, rCe + +#define mKeccakRound(iState, oState, rc, B_RBI_RCE, G_RT1_RCA, G_RT1_RCE, G_RBA_RCU, K_RT1_RCA, K_RT1_RCE, K_RBA_RCU, M_RT1_RCA, M_RT1_RCE, M_RBE_RCU, S_RDU_RCU, S_RDA_RCA, S_RDE_RCE) \ + /* Prepare round */ \ + MOVQ rCe, rDa; \ + ROLQ $1, rDa; \ + \ + MOVQ _bi(iState), rCi; \ + XORQ _gi(iState), rDi; \ + XORQ rCu, rDa; \ + XORQ _ki(iState), rCi; \ + XORQ _mi(iState), rDi; \ + XORQ rDi, rCi; \ + \ + MOVQ rCi, rDe; \ + ROLQ $1, rDe; \ + \ + MOVQ _bo(iState), rCo; \ + XORQ _go(iState), rDo; \ + XORQ rCa, rDe; \ + XORQ _ko(iState), rCo; \ + XORQ _mo(iState), rDo; \ + XORQ rDo, rCo; \ + \ + MOVQ rCo, rDi; \ + ROLQ $1, rDi; \ + \ + MOVQ rCu, rDo; \ + XORQ rCe, rDi; \ + ROLQ $1, rDo; \ + \ + MOVQ rCa, rDu; \ + XORQ rCi, rDo; \ + ROLQ $1, rDu; \ + \ + /* Result b */ \ + MOVQ _ba(iState), rBa; \ + MOVQ _ge(iState), rBe; \ + XORQ rCo, rDu; \ + MOVQ _ki(iState), rBi; \ + MOVQ _mo(iState), rBo; \ + MOVQ _su(iState), rBu; \ + XORQ rDe, rBe; \ + ROLQ $44, rBe; \ + XORQ rDi, rBi; \ + XORQ rDa, rBa; \ + ROLQ $43, rBi; \ + \ + MOVQ rBe, rCa; \ + MOVQ rc, rT1; \ + ORQ rBi, rCa; \ + XORQ rBa, rT1; \ + XORQ rT1, rCa; \ + MOVQ rCa, _ba(oState); \ + \ + XORQ rDu, rBu; \ + ROLQ $14, rBu; \ + MOVQ rBa, rCu; \ + ANDQ rBe, rCu; \ + XORQ rBu, rCu; \ + MOVQ rCu, _bu(oState); \ + \ + XORQ rDo, rBo; \ + ROLQ $21, rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _bi(oState); \ + \ + NOTQ rBi; \ + ORQ rBa, rBu; \ + ORQ rBo, rBi; \ + XORQ rBo, rBu; \ + XORQ rBe, rBi; \ + MOVQ rBu, _bo(oState); \ + MOVQ rBi, _be(oState); \ + B_RBI_RCE; \ + \ + /* Result g */ \ + MOVQ _gu(iState), rBe; \ + XORQ rDu, rBe; \ + MOVQ _ka(iState), rBi; \ + ROLQ $20, rBe; \ + XORQ rDa, rBi; \ + ROLQ $3, rBi; \ + MOVQ _bo(iState), rBa; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDo, rBa; \ + MOVQ _me(iState), rBo; \ + MOVQ _si(iState), rBu; \ + ROLQ $28, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ga(oState); \ + G_RT1_RCA; \ + \ + XORQ rDe, rBo; \ + ROLQ $45, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ge(oState); \ + G_RT1_RCE; \ + \ + XORQ rDi, rBu; \ + ROLQ $61, rBu; \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _go(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _gu(oState); \ + NOTQ rBu; \ + G_RBA_RCU; \ + \ + ORQ rBu, rBo; \ + XORQ rBi, rBo; \ + MOVQ rBo, _gi(oState); \ + \ + /* Result k */ \ + MOVQ _be(iState), rBa; \ + MOVQ _gi(iState), rBe; \ + MOVQ _ko(iState), rBi; \ + MOVQ _mu(iState), rBo; \ + MOVQ _sa(iState), rBu; \ + XORQ rDi, rBe; \ + ROLQ $6, rBe; \ + XORQ rDo, rBi; \ + ROLQ $25, rBi; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDe, rBa; \ + ROLQ $1, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ka(oState); \ + K_RT1_RCA; \ + \ + XORQ rDu, rBo; \ + ROLQ $8, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ke(oState); \ + K_RT1_RCE; \ + \ + XORQ rDa, rBu; \ + ROLQ $18, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _ki(oState); \ + \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _ko(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _ku(oState); \ + K_RBA_RCU; \ + \ + /* Result m */ \ + MOVQ _ga(iState), rBe; \ + XORQ rDa, rBe; \ + MOVQ _ke(iState), rBi; \ + ROLQ $36, rBe; \ + XORQ rDe, rBi; \ + MOVQ _bu(iState), rBa; \ + ROLQ $10, rBi; \ + MOVQ rBe, rT1; \ + MOVQ _mi(iState), rBo; \ + ANDQ rBi, rT1; \ + XORQ rDu, rBa; \ + MOVQ _so(iState), rBu; \ + ROLQ $27, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ma(oState); \ + M_RT1_RCA; \ + \ + XORQ rDi, rBo; \ + ROLQ $15, rBo; \ + MOVQ rBi, rT1; \ + ORQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _me(oState); \ + M_RT1_RCE; \ + \ + XORQ rDo, rBu; \ + ROLQ $56, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ORQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _mi(oState); \ + \ + ORQ rBa, rBe; \ + XORQ rBu, rBe; \ + MOVQ rBe, _mu(oState); \ + \ + ANDQ rBa, rBu; \ + XORQ rBo, rBu; \ + MOVQ rBu, _mo(oState); \ + M_RBE_RCU; \ + \ + /* Result s */ \ + MOVQ _bi(iState), rBa; \ + MOVQ _go(iState), rBe; \ + MOVQ _ku(iState), rBi; \ + XORQ rDi, rBa; \ + MOVQ _ma(iState), rBo; \ + ROLQ $62, rBa; \ + XORQ rDo, rBe; \ + MOVQ _se(iState), rBu; \ + ROLQ $55, rBe; \ + \ + XORQ rDu, rBi; \ + MOVQ rBa, rDu; \ + XORQ rDe, rBu; \ + ROLQ $2, rBu; \ + ANDQ rBe, rDu; \ + XORQ rBu, rDu; \ + MOVQ rDu, _su(oState); \ + \ + ROLQ $39, rBi; \ + S_RDU_RCU; \ + NOTQ rBe; \ + XORQ rDa, rBo; \ + MOVQ rBe, rDa; \ + ANDQ rBi, rDa; \ + XORQ rBa, rDa; \ + MOVQ rDa, _sa(oState); \ + S_RDA_RCA; \ + \ + ROLQ $41, rBo; \ + MOVQ rBi, rDe; \ + ORQ rBo, rDe; \ + XORQ rBe, rDe; \ + MOVQ rDe, _se(oState); \ + S_RDE_RCE; \ + \ + MOVQ rBo, rDi; \ + MOVQ rBu, rDo; \ + ANDQ rBu, rDi; \ + ORQ rBa, rDo; \ + XORQ rBi, rDi; \ + XORQ rBo, rDo; \ + MOVQ rDi, _si(oState); \ + MOVQ rDo, _so(oState) \ + +// func KeccakF1600(a *[25]uint64) +TEXT ·KeccakF1600(SB), 0, $200-8 + MOVQ a+0(FP), rpState + + // Convert the user state into an internal state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + // Execute the KeccakF permutation + MOVQ _ba(rpState), rCa + MOVQ _be(rpState), rCe + MOVQ _bu(rpState), rCu + + XORQ _ga(rpState), rCa + XORQ _ge(rpState), rCe + XORQ _gu(rpState), rCu + + XORQ _ka(rpState), rCa + XORQ _ke(rpState), rCe + XORQ _ku(rpState), rCu + + XORQ _ma(rpState), rCa + XORQ _me(rpState), rCe + XORQ _mu(rpState), rCu + + XORQ _sa(rpState), rCa + XORQ _se(rpState), rCe + MOVQ _si(rpState), rDi + MOVQ _so(rpState), rDo + XORQ _su(rpState), rCu + + mKeccakRound(rpState, rpStack, $0x0000000000000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000008082, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x800000000000808a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008000, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000008a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000000088, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x000000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000008000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000000000008b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008089, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008003, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008002, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000000080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000800a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008008, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP) + + // Revert the internal state to the user state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + RET diff --git a/src/circl/internal/shake/sha3.go b/src/circl/internal/shake/sha3.go new file mode 100644 index 00000000000..c63f384b1c9 --- /dev/null +++ b/src/circl/internal/shake/sha3.go @@ -0,0 +1,192 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package shake + +import "hash" + +// spongeDirection indicates the direction bytes are flowing through the sponge. +type spongeDirection int + +const ( + // spongeAbsorbing indicates that the sponge is absorbing input. + spongeAbsorbing spongeDirection = iota + // spongeSqueezing indicates that the sponge is being squeezed. + spongeSqueezing +) + +const ( + // maxRate is the maximum size of the internal buffer. SHAKE-256 + // currently needs the largest buffer. + maxRate = 168 +) + +type Shake struct { + // Generic sponge components. + a [25]uint64 // main state of the hash + bufo, bufe int + rate int // the number of bytes of state to use + + // dsbyte contains the "domain separation" bits and the first bit of + // the padding. Sections 6.1 and 6.2 of [1] separate the outputs of the + // SHA-3 and SHAKE functions by appending bitstrings to the message. + // Using a little-endian bit-ordering convention, these are "01" for SHA-3 + // and "1111" for SHAKE, or 00000010b and 00001111b, respectively. Then the + // padding rule from section 5.1 is applied to pad the message to a multiple + // of the rate, which involves adding a "1" bit, zero or more "0" bits, and + // a final "1" bit. We merge the first "1" bit from the padding into dsbyte, + // giving 00000110b (0x06) and 00011111b (0x1f). + // [1] http://csrc.nist.gov/publications/drafts/fips-202/fips_202_draft.pdf + // "Draft FIPS 202: SHA-3 Standard: Permutation-Based Hash and + // Extendable-Output Functions (May 2014)" + dsbyte byte + storage storageBuf + + // Specific to SHA-3 and SHAKE. + outputLen int // the default output size in bytes + state spongeDirection // whether the sponge is absorbing or squeezing +} + +// BlockSize returns the rate of sponge underlying this hash function. +func (d *Shake) BlockSize() int { return d.rate } + +// Size returns the output size of the hash function in bytes. +func (d *Shake) Size() int { return d.outputLen } + +// Reset clears the internal state by zeroing the sponge state and +// the byte buffer, and setting Sponge.state to absorbing. +func (d *Shake) Reset() { + // Zero the permutation's state. + for i := range d.a { + d.a[i] = 0 + } + d.state = spongeAbsorbing + d.bufo = 0 + d.bufe = 0 +} + +func (d *Shake) Clone() (ret Shake) { + return *d +} + +// permute applies the KeccakF-1600 permutation. It handles +// any input-output buffering. +func (d *Shake) permute() { + switch d.state { + case spongeAbsorbing: + // If we're absorbing, we need to xor the input into the state + // before applying the permutation. + xorIn(d, d.storage.asBytes()[d.bufo:d.bufe]) + d.bufe = 0 + d.bufo = 0 + KeccakF1600(&d.a) + case spongeSqueezing: + // If we're squeezing, we need to apply the permutation before + // copying more output. + KeccakF1600(&d.a) + d.bufo = 0 + d.bufe = d.rate + copyOut(d, d.storage.asBytes()[:d.rate]) + } +} + +// pads appends the domain separation bits in dsbyte, applies +// the multi-bitrate 10..1 padding rule, and permutes the state. +func (d *Shake) padAndPermute(dsbyte byte) { + // Pad with this instance's domain-separator bits. We know that there's + // at least one byte of space in d.buf because, if it were full, + // permute would have been called to empty it. dsbyte also contains the + // first one bit for the padding. See the comment in the state struct. + d.storage.asBytes()[d.bufe] = dsbyte + d.bufe++ + zerosStart := d.bufe - d.bufo + d.bufo = 0 + d.bufe = d.rate + for i := zerosStart; i < d.rate; i++ { + d.storage.asBytes()[i] = 0 + } + // This adds the final one bit for the padding. Because of the way that + // bits are numbered from the LSB upwards, the final bit is the MSB of + // the last byte. + d.storage.asBytes()[d.rate-1] ^= 0x80 + // Apply the permutation + d.permute() + d.state = spongeSqueezing + d.bufo = 0 + d.bufe = d.rate + copyOut(d, d.storage.asBytes()[:d.rate]) +} + +// Write absorbs more data into the hash's state. It produces an error +// if more data is written to the ShakeHash after writing. +func (d *Shake) Write(p []byte) (int, error) { + if d.state != spongeAbsorbing { + panic("shake: write to sponge after read") + } + written := len(p) + + for len(p) > 0 { + if d.bufe == d.bufo && len(p) >= d.rate { + // The fast path; absorb a full "rate" bytes of input and apply the permutation. + xorIn(d, p[:d.rate]) + p = p[d.rate:] + KeccakF1600(&d.a) + } else { + // The slow path; buffer the input until we can fill the sponge, and then xor it in. + todo := d.rate - (d.bufe - d.bufo) + if todo > len(p) { + todo = len(p) + } + copy(d.storage.asBytes()[d.bufe:], p[:todo]) + d.bufe += todo + p = p[todo:] + + // If the sponge is full, apply the permutation. + if d.bufe-d.bufo == d.rate { + d.permute() + } + } + } + + return written, nil +} + +// Read squeezes an arbitrary number of bytes from the sponge. +func (d *Shake) Read(out []byte) (n int, err error) { + // If we're still absorbing, pad and apply the permutation. + if d.state == spongeAbsorbing { + d.padAndPermute(d.dsbyte) + } + + n = len(out) + + // Now, do the squeezing. + for len(out) > 0 { + n := copy(out, d.storage.asBytes()[d.bufo:d.bufe]) + d.bufo += n + out = out[n:] + + // Apply the permutation if we've squeezed the sponge dry. + if d.bufe-d.bufo == 0 { + d.permute() + } + } + + return +} + +// Sum applies padding to the hash state and then squeezes out the desired +// number of output bytes. +func (d *Shake) Sum(in []byte) []byte { + // Make a copy of the original hash so that caller can keep writing + // and summing. + dup := d.Clone() + hash := make([]byte, dup.outputLen) + _, _ = dup.Read(hash) + return append(in, hash...) +} + +// Only use this function if you require compatibility with an existing cryptosystem +// that uses non-standard padding. All other users should use New256 instead. +func NewLegacyKeccak256() hash.Hash { return &Shake{rate: 136, outputLen: 32, dsbyte: 0x01} } diff --git a/src/circl/internal/shake/sha3_test.go b/src/circl/internal/shake/sha3_test.go new file mode 100644 index 00000000000..81698549df0 --- /dev/null +++ b/src/circl/internal/shake/sha3_test.go @@ -0,0 +1,325 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package shake + +// Tests include all the ShortMsgKATs provided by the Keccak team at +// https://github.com/gvanas/KeccakCodePackage +// +// They only include the zero-bit case of the bitwise testvectors +// published by NIST in the draft of FIPS-202. + +import ( + "bytes" + "compress/flate" + "encoding/hex" + "encoding/json" + "fmt" + "hash" + "os" + "strings" + "testing" +) + +const ( + testString = "brekeccakkeccak koax koax" + katFilename = "testdata/keccakKats.json.deflate" +) + +// decodeHex converts a hex-encoded string into a raw byte string. +func decodeHex(s string) []byte { + b, err := hex.DecodeString(s) + if err != nil { + panic(err) + } + return b +} + +// structs used to marshal JSON test-cases. +type KeccakKats struct { + Kats map[string][]struct { + Digest string `json:"digest"` + Length int64 `json:"length"` + Message string `json:"message"` + + // Defined only for cSHAKE + N string `json:"N"` + S string `json:"S"` + } +} + +// Run with "go test -race" on Go ≥1.14. +func TestIssue89(t *testing.T) { + h := NewShake256() + var buf [200]byte + _, _ = h.Write(buf[1:]) +} + +// TestKeccakKats tests the SHA-3 and Shake implementations against all the +// ShortMsgKATs from https://github.com/gvanas/KeccakCodePackage +// (The testvectors are stored in keccakKats.json.deflate due to their length). +func TestKeccakKats(t *testing.T) { + // Read the KATs. + deflated, err := os.Open(katFilename) + if err != nil { + t.Errorf("error opening %s: %s", katFilename, err) + } + file := flate.NewReader(deflated) + dec := json.NewDecoder(file) + var katSet KeccakKats + err = dec.Decode(&katSet) + if err != nil { + t.Errorf("error decoding KATs: %s", err) + } + + for _, kat := range katSet.Kats["SHAKE256"] { + d := NewShake256() + in, err := hex.DecodeString(kat.Message) + if err != nil { + t.Errorf("error decoding KAT: %s", err) + } + + _, _ = d.Write(in[:kat.Length/8]) + out := make([]byte, len(kat.Digest)/2) + _, _ = d.Read(out) + got := strings.ToUpper(hex.EncodeToString(out)) + if got != kat.Digest { + t.Errorf("function=%s, length=%d N:%s\n S:%s\nmessage:\n %s \ngot:\n %s\nwanted:\n %s", + "SHAKE256", kat.Length, kat.N, kat.S, kat.Message, got, kat.Digest) + t.Logf("wanted %+v", kat) + t.FailNow() + } + continue + } +} + +// TestKeccak does a basic test of the non-standardized Keccak hash functions. +func TestKeccak(t *testing.T) { + tests := []struct { + fn func() hash.Hash + data []byte + want string + }{ + { + NewLegacyKeccak256, + []byte("abc"), + "4e03657aea45a94fc7d47ba826c8d667c0d1e6e33a64a036ec44f58fa12d6c45", + }, + } + + for _, u := range tests { + h := u.fn() + _, _ = h.Write(u.data) + got := h.Sum(nil) + want := decodeHex(u.want) + if !bytes.Equal(got, want) { + t.Errorf("unexpected hash for size %d: got '%x' want '%s'", h.Size()*8, got, u.want) + } + } +} + +// TestUnalignedWrite tests that writing data in an arbitrary pattern with +// small input buffers. +func TestUnalignedWrite(t *testing.T) { + buf := sequentialBytes(0x10000) + + // Same for SHAKE + want := make([]byte, 16) + got := make([]byte, 16) + d := NewShake256() + + d.Reset() + _, _ = d.Write(buf) + _, _ = d.Read(want) + d.Reset() + for i := 0; i < len(buf); { + // Cycle through offsets which make a 137 byte sequence. + // Because 137 is prime this sequence should exercise all corner cases. + offsets := [17]int{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1} + for _, j := range offsets { + if v := len(buf) - i; v < j { + j = v + } + _, _ = d.Write(buf[i : i+j]) + i += j + } + } + _, _ = d.Read(got) + if !bytes.Equal(got, want) { + t.Errorf("Unaligned writes, alg=SHAKE256\ngot %q, want %q", got, want) + } +} + +// TestSqueezing checks that squeezing the full output a single time produces +// the same output as repeatedly squeezing the instance. +func TestSqueezing(t *testing.T) { + d0 := NewShake256() + _, _ = d0.Write([]byte(testString)) + ref := make([]byte, 32) + _, _ = d0.Read(ref) + + d1 := NewShake256() + _, _ = d1.Write([]byte(testString)) + multiple := make([]byte, 0, len(ref)) + for range ref { + one := make([]byte, 1) + _, _ = d1.Read(one) + multiple = append(multiple, one...) + } + if !bytes.Equal(ref, multiple) { + t.Errorf("SHAKE256 : squeezing %d bytes one at a time failed", len(ref)) + } +} + +// sequentialBytes produces a buffer of size consecutive bytes 0x00, 0x01, ..., used for testing. +func sequentialBytes(size int) []byte { + result := make([]byte, size) + for i := range result { + result[i] = byte(i) + } + return result +} + +func TestReset(t *testing.T) { + out1 := make([]byte, 32) + out2 := make([]byte, 32) + + // Calculate hash for the first time + c := NewShake256() + _, _ = c.Write(sequentialBytes(0x100)) + _, _ = c.Read(out1) + + // Calculate hash again + c.Reset() + _, _ = c.Write(sequentialBytes(0x100)) + _, _ = c.Read(out2) + + if !bytes.Equal(out1, out2) { + t.Error("\nExpected:\n", out1, "\ngot:\n", out2) + } +} + +func TestClone(t *testing.T) { + out1 := make([]byte, 16) + out2 := make([]byte, 16) + in := sequentialBytes(0x100) + + h1 := NewShake256() + _, _ = h1.Write([]byte{0x01}) + + h2 := h1.Clone() + + _, _ = h1.Write(in) + _, _ = h1.Read(out1) + + _, _ = h2.Write(in) + _, _ = h2.Read(out2) + if !bytes.Equal(out1, out2) { + t.Error("\nExpected:\n", hex.EncodeToString(out1), "\ngot:\n", hex.EncodeToString(out2)) + } +} + +// Checks whether reset works correctly after clone. +func TestCloneAndReset(t *testing.T) { + // Shake 256, uses SHA-3 with rate = 136 + d1 := NewShake256() + buf1 := make([]byte, 28) + buf2 := make([]byte, 28) + _, _ = d1.Write([]byte{0xcc}) + // Reading x bytes where x<168-136. This makes capability + // of the state buffer shorter. + _, _ = d1.Read(buf1) + // This will crash if sha-3 code uses cap() instead + // of len() when calculating length of state buffer + d2 := d1.Clone() + d2.Reset() + _, _ = d2.Write([]byte{0xcc}) + _, _ = d2.Read(buf2) + + if !bytes.Equal(buf1, buf2) { + t.Error("Different value when reading after reset") + } +} + +// BenchmarkPermutationFunction measures the speed of the permutation function +// with no input data. +func BenchmarkPermutationFunction(b *testing.B) { + b.SetBytes(int64(200)) + var lanes [25]uint64 + for i := 0; i < b.N; i++ { + KeccakF1600(&lanes) + } +} + +// benchmarkShake is specialized to the Shake instances, which don't +// require a copy on reading output. +func benchmarkShake(b *testing.B, h Shake, size, num int) { + b.StopTimer() + h.Reset() + data := sequentialBytes(size) + var d [32]byte + + b.SetBytes(int64(size * num)) + b.StartTimer() + + for i := 0; i < b.N; i++ { + h.Reset() + for j := 0; j < num; j++ { + _, _ = h.Write(data) + } + _, _ = h.Read(d[:]) + } +} + +func BenchmarkShake256_MTU(b *testing.B) { benchmarkShake(b, NewShake256(), 1350, 1) } +func BenchmarkShake256_16x(b *testing.B) { benchmarkShake(b, NewShake256(), 16, 1024) } +func BenchmarkShake256_1MiB(b *testing.B) { benchmarkShake(b, NewShake256(), 1024, 1024) } +func BenchmarkCShake256_448_16x(b *testing.B) { + benchmarkShake(b, NewShake256(), 448, 16) +} +func BenchmarkCShake256_1MiB(b *testing.B) { + benchmarkShake(b, NewShake256(), 1024, 1024) +} + +func Example_sum() { + buf := []byte("some data to hash") + // A hash needs to be 64 bytes long to have 256-bit collision resistance. + h := make([]byte, 64) + // Compute a 64-byte hash of buf and put it in h. + shake := NewShake256() + _, _ = shake.Write(buf) + _, _ = shake.Read(h) + fmt.Printf("%x\n", h) + // Output: 0f65fe41fc353e52c55667bb9e2b27bfcc8476f2c413e9437d272ee3194a4e3146d05ec04a25d16b8f577c19b82d16b1424c3e022e783d2b4da98de3658d363d +} + +func Example_mac() { + k := []byte("this is a secret key; you should generate a strong random key that's at least 32 bytes long") + buf := []byte("and this is some data to authenticate") + // A MAC with 32 bytes of output has 256-bit security strength -- if you use at least a 32-byte-long key. + h := make([]byte, 32) + d := NewShake256() + // Write the key into the hash. + _, _ = d.Write(k) + // Now write the data. + _, _ = d.Write(buf) + // Read 32 bytes of output from the hash into h. + _, _ = d.Read(h) + fmt.Printf("%x\n", h) + // Output: 78de2974bd2711d5549ffd32b753ef0f5fa80a0db2556db60f0987eb8a9218ff +} + +func ExampleShake() { + out := make([]byte, 32) + msg := []byte("The quick brown fox jumps over the lazy dog") + + // Example 1: Simple Shake + c1 := NewShake256() + _, _ = c1.Write(msg) + _, _ = c1.Read(out) + fmt.Println(hex.EncodeToString(out)) + + // Output: + //2f671343d9b2e1604dc9dcf0753e5fe15c7c64a0d283cbbf722d411a0e36f6ca +} diff --git a/src/circl/internal/shake/shake.go b/src/circl/internal/shake/shake.go new file mode 100644 index 00000000000..2c892954646 --- /dev/null +++ b/src/circl/internal/shake/shake.go @@ -0,0 +1,68 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package shake + +// This file defines the Shake struct, and provides +// functions for creating SHAKE and cSHAKE instances, as well as utility +// functions for hashing bytes to arbitrary-length output. +// +// +// SHAKE implementation is based on FIPS PUB 202 [1] +// +// [1] https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf + +// Consts for configuring initial SHA-3 state +const ( + dsbyteShake = 0x1f + rate256 = 136 + rate128 = 168 +) + +// RC stores the round constants for use in the ι step. +var RC = [24]uint64{ + 0x0000000000000001, + 0x0000000000008082, + 0x800000000000808A, + 0x8000000080008000, + 0x000000000000808B, + 0x0000000080000001, + 0x8000000080008081, + 0x8000000000008009, + 0x000000000000008A, + 0x0000000000000088, + 0x0000000080008009, + 0x000000008000000A, + 0x000000008000808B, + 0x800000000000008B, + 0x8000000000008089, + 0x8000000000008003, + 0x8000000000008002, + 0x8000000000000080, + 0x000000000000800A, + 0x800000008000000A, + 0x8000000080008081, + 0x8000000000008080, + 0x0000000080000001, + 0x8000000080008008, +} + +// NewShake256 creates a new SHAKE256 variable-output-length Shake. +// Its generic security strength is 256 bits against all attacks if +// at least 64 bytes of its output are used. +func NewShake256() Shake { + return Shake{rate: rate256, dsbyte: dsbyteShake} +} + +// NewShake128 creates a new SHAKE128 variable-output-length Shake. +// Its generic security strength is 128 bits against all attacks if +// at least 32 bytes of its output are used. +func NewShake128() Shake { + return Shake{rate: rate128, dsbyte: dsbyteShake} +} + +func (d *Shake) Init128() { + d.rate = rate128 + d.dsbyte = dsbyteShake +} diff --git a/src/circl/internal/shake/testdata/keccakKats.json.deflate b/src/circl/internal/shake/testdata/keccakKats.json.deflate new file mode 100644 index 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All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !amd64,!386,!ppc64le + +package shake + +import "encoding/binary" + +type storageBuf [maxRate]byte + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(b) +} + +// xorInGeneric xors the bytes in buf into the state; it +// makes no non-portable assumptions about memory layout +// or alignment. +func xorIn(d *Shake, buf []byte) { + n := len(buf) / 8 + + for i := 0; i < n; i++ { + a := binary.LittleEndian.Uint64(buf) + d.a[i] ^= a + buf = buf[8:] + } +} + +// copyOutGeneric copies ulint64s to a byte buffer. +func copyOut(d *Shake, b []byte) { + for i := 0; len(b) >= 8; i++ { + binary.LittleEndian.PutUint64(b, d.a[i]) + b = b[8:] + } +} diff --git a/src/circl/internal/shake/xor_unaligned.go b/src/circl/internal/shake/xor_unaligned.go new file mode 100644 index 00000000000..5e3bcae53ce --- /dev/null +++ b/src/circl/internal/shake/xor_unaligned.go @@ -0,0 +1,68 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64 386 ppc64le +// +build !appengine + +package shake + +import "unsafe" + +type storageBuf [maxRate / 8]uint64 + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(unsafe.Pointer(b)) +} + +//go:nocheckptr +// +// xorIn intentionally reads the input buffer as an unaligned slice of +// integers. The language spec is not clear on whether that is allowed. +// See: +// https://golang.org/issue/37644 +// https://golang.org/issue/37298 +// https://golang.org/issue/35381 +// #89 +// +// xorIn uses unaligned reads and writes to update d.a to contain d.a XOR buf. +func xorIn(d *Shake, buf []byte) { + n := len(buf) + bw := (*[maxRate / 8]uint64)(unsafe.Pointer(&buf[0]))[: n/8 : n/8] + if n >= 72 { + d.a[0] ^= bw[0] + d.a[1] ^= bw[1] + d.a[2] ^= bw[2] + d.a[3] ^= bw[3] + d.a[4] ^= bw[4] + d.a[5] ^= bw[5] + d.a[6] ^= bw[6] + d.a[7] ^= bw[7] + d.a[8] ^= bw[8] + } + if n >= 104 { + d.a[9] ^= bw[9] + d.a[10] ^= bw[10] + d.a[11] ^= bw[11] + d.a[12] ^= bw[12] + } + if n >= 136 { + d.a[13] ^= bw[13] + d.a[14] ^= bw[14] + d.a[15] ^= bw[15] + d.a[16] ^= bw[16] + } + if n >= 144 { + d.a[17] ^= bw[17] + } + if n >= 168 { + d.a[18] ^= bw[18] + d.a[19] ^= bw[19] + d.a[20] ^= bw[20] + } +} + +func copyOut(d *Shake, buf []byte) { + ab := (*[maxRate]uint8)(unsafe.Pointer(&d.a[0])) + copy(buf, ab[:]) +} diff --git a/src/circl/internal/test/test.go b/src/circl/internal/test/test.go new file mode 100644 index 00000000000..bc64267aa22 --- /dev/null +++ b/src/circl/internal/test/test.go @@ -0,0 +1,60 @@ +package test + +import ( + "errors" + "fmt" + "strings" + "testing" +) + +// ReportError reports an error if got is different from want. +func ReportError(t *testing.T, got, want interface{}, inputs ...interface{}) { + b := &strings.Builder{} + fmt.Fprint(b, "\n") + for i, in := range inputs { + fmt.Fprintf(b, "in[%v]: %v\n", i, in) + } + fmt.Fprintf(b, "got: %v\nwant: %v", got, want) + t.Helper() + t.Fatalf(b.String()) +} + +// checkOk fails the test if result == false. +func CheckOk(result bool, msg string, t testing.TB) { + t.Helper() + + if !result { + t.Error(msg) + } +} + +// checkErr fails on error condition. mustFail indicates whether err is expected +// to be nil or not. +func checkErr(t testing.TB, err error, mustFail bool, msg string) { + t.Helper() + if err != nil && !mustFail { + t.Error(msg) + } + + if err == nil && mustFail { + t.Error(msg) + } +} + +// CheckNoErr fails if err !=nil. Print msg as an error message. +func CheckNoErr(t testing.TB, err error, msg string) { t.Helper(); checkErr(t, err, false, msg) } + +// CheckIsErr fails if err ==nil. Print msg as an error message. +func CheckIsErr(t testing.TB, err error, msg string) { t.Helper(); checkErr(t, err, true, msg) } + +// CheckPanic returns true if call to function 'f' caused panic. +func CheckPanic(f func()) error { + var hasPanicked = errors.New("no panic detected") + defer func() { + if r := recover(); r != nil { + hasPanicked = nil + } + }() + f() + return hasPanicked +} diff --git a/src/circl/math/fp25519/fp.go b/src/circl/math/fp25519/fp.go new file mode 100644 index 00000000000..c0880e13cf3 --- /dev/null +++ b/src/circl/math/fp25519/fp.go @@ -0,0 +1,205 @@ +// Package fp25519 provides prime field arithmetic over GF(2^255-19). +package fp25519 + +import ( + "errors" + + "circl/internal/conv" +) + +// Size in bytes of an element. +const Size = 32 + +// Elt is a prime field element. +type Elt [Size]byte + +func (e Elt) String() string { return conv.BytesLe2Hex(e[:]) } + +// p is the prime modulus 2^255-19. +var p = Elt{ + 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, +} + +// P returns the prime modulus 2^255-19. +func P() Elt { return p } + +// ToBytes stores in b the little-endian byte representation of x. +func ToBytes(b []byte, x *Elt) error { + if len(b) != Size { + return errors.New("wrong size") + } + Modp(x) + copy(b, x[:]) + return nil +} + +// IsZero returns true if x is equal to 0. +func IsZero(x *Elt) bool { Modp(x); return *x == Elt{} } + +// SetOne assigns x=1. +func SetOne(x *Elt) { *x = Elt{}; x[0] = 1 } + +// Neg calculates z = -x. +func Neg(z, x *Elt) { Sub(z, &p, x) } + +// InvSqrt calculates z = sqrt(x/y) iff x/y is a quadratic-residue, which is +// indicated by returning isQR = true. Otherwise, when x/y is a quadratic +// non-residue, z will have an undetermined value and isQR = false. +func InvSqrt(z, x, y *Elt) (isQR bool) { + sqrtMinusOne := &Elt{ + 0xb0, 0xa0, 0x0e, 0x4a, 0x27, 0x1b, 0xee, 0xc4, + 0x78, 0xe4, 0x2f, 0xad, 0x06, 0x18, 0x43, 0x2f, + 0xa7, 0xd7, 0xfb, 0x3d, 0x99, 0x00, 0x4d, 0x2b, + 0x0b, 0xdf, 0xc1, 0x4f, 0x80, 0x24, 0x83, 0x2b, + } + t0, t1, t2, t3 := &Elt{}, &Elt{}, &Elt{}, &Elt{} + + Mul(t0, x, y) // t0 = u*v + Sqr(t1, y) // t1 = v^2 + Mul(t2, t0, t1) // t2 = u*v^3 + Sqr(t0, t1) // t0 = v^4 + Mul(t1, t0, t2) // t1 = u*v^7 + + var Tab [4]*Elt + Tab[0] = &Elt{} + Tab[1] = &Elt{} + Tab[2] = t3 + Tab[3] = t1 + + *Tab[0] = *t1 + Sqr(Tab[0], Tab[0]) + Sqr(Tab[1], Tab[0]) + Sqr(Tab[1], Tab[1]) + Mul(Tab[1], Tab[1], Tab[3]) + Mul(Tab[0], Tab[0], Tab[1]) + Sqr(Tab[0], Tab[0]) + Mul(Tab[0], Tab[0], Tab[1]) + Sqr(Tab[1], Tab[0]) + for i := 0; i < 4; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[0]) + Sqr(Tab[2], Tab[1]) + for i := 0; i < 4; i++ { + Sqr(Tab[2], Tab[2]) + } + Mul(Tab[2], Tab[2], Tab[0]) + Sqr(Tab[1], Tab[2]) + for i := 0; i < 14; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[2]) + Sqr(Tab[2], Tab[1]) + for i := 0; i < 29; i++ { + Sqr(Tab[2], Tab[2]) + } + Mul(Tab[2], Tab[2], Tab[1]) + Sqr(Tab[1], Tab[2]) + for i := 0; i < 59; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[2]) + for i := 0; i < 5; i++ { + Sqr(Tab[1], Tab[1]) + } + Mul(Tab[1], Tab[1], Tab[0]) + Sqr(Tab[2], Tab[1]) + for i := 0; i < 124; i++ { + Sqr(Tab[2], Tab[2]) + } + Mul(Tab[2], Tab[2], Tab[1]) + Sqr(Tab[2], Tab[2]) + Sqr(Tab[2], Tab[2]) + Mul(Tab[2], Tab[2], Tab[3]) + + Mul(z, t3, t2) // z = xy^(p+3)/8 = xy^3*(xy^7)^(p-5)/8 + // Checking whether y z^2 == x + Sqr(t0, z) // t0 = z^2 + Mul(t0, t0, y) // t0 = yz^2 + Sub(t1, t0, x) // t1 = t0-u + Add(t2, t0, x) // t2 = t0+u + if IsZero(t1) { + return true + } else if IsZero(t2) { + Mul(z, z, sqrtMinusOne) // z = z*sqrt(-1) + return true + } else { + return false + } +} + +// Inv calculates z = 1/x mod p. +func Inv(z, x *Elt) { + x0, x1, x2 := &Elt{}, &Elt{}, &Elt{} + Sqr(x1, x) + Sqr(x0, x1) + Sqr(x0, x0) + Mul(x0, x0, x) + Mul(z, x0, x1) + Sqr(x1, z) + Mul(x0, x0, x1) + Sqr(x1, x0) + for i := 0; i < 4; i++ { + Sqr(x1, x1) + } + Mul(x0, x0, x1) + Sqr(x1, x0) + for i := 0; i < 9; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, x0) + Sqr(x2, x1) + for i := 0; i < 19; i++ { + Sqr(x2, x2) + } + Mul(x2, x2, x1) + for i := 0; i < 10; i++ { + Sqr(x2, x2) + } + Mul(x2, x2, x0) + Sqr(x0, x2) + for i := 0; i < 49; i++ { + Sqr(x0, x0) + } + Mul(x0, x0, x2) + Sqr(x1, x0) + for i := 0; i < 99; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, x0) + for i := 0; i < 50; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, x2) + for i := 0; i < 5; i++ { + Sqr(x1, x1) + } + Mul(z, z, x1) +} + +// Cmov assigns y to x if n is 1. +func Cmov(x, y *Elt, n uint) { cmov(x, y, n) } + +// Cswap interchanges x and y if n is 1. +func Cswap(x, y *Elt, n uint) { cswap(x, y, n) } + +// Add calculates z = x+y mod p. +func Add(z, x, y *Elt) { add(z, x, y) } + +// Sub calculates z = x-y mod p. +func Sub(z, x, y *Elt) { sub(z, x, y) } + +// AddSub calculates (x,y) = (x+y mod p, x-y mod p). +func AddSub(x, y *Elt) { addsub(x, y) } + +// Mul calculates z = x*y mod p. +func Mul(z, x, y *Elt) { mul(z, x, y) } + +// Sqr calculates z = x^2 mod p. +func Sqr(z, x *Elt) { sqr(z, x) } + +// Modp ensures that z is between [0,p-1]. +func Modp(z *Elt) { modp(z) } diff --git a/src/circl/math/fp25519/fp_amd64.go b/src/circl/math/fp25519/fp_amd64.go new file mode 100644 index 00000000000..cc2a1f4ac7b --- /dev/null +++ b/src/circl/math/fp25519/fp_amd64.go @@ -0,0 +1,44 @@ +// +build amd64,!purego + +package fp25519 + +import ( + "internal/cpu" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func cmov(x, y *Elt, n uint) { cmovAmd64(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapAmd64(x, y, n) } +func add(z, x, y *Elt) { addAmd64(z, x, y) } +func sub(z, x, y *Elt) { subAmd64(z, x, y) } +func addsub(x, y *Elt) { addsubAmd64(x, y) } +func mul(z, x, y *Elt) { mulAmd64(z, x, y) } +func sqr(z, x *Elt) { sqrAmd64(z, x) } +func modp(z *Elt) { modpAmd64(z) } + +//go:noescape +func cmovAmd64(x, y *Elt, n uint) + +//go:noescape +func cswapAmd64(x, y *Elt, n uint) + +//go:noescape +func addAmd64(z, x, y *Elt) + +//go:noescape +func subAmd64(z, x, y *Elt) + +//go:noescape +func addsubAmd64(x, y *Elt) + +//go:noescape +func mulAmd64(z, x, y *Elt) + +//go:noescape +func sqrAmd64(z, x *Elt) + +//go:noescape +func modpAmd64(z *Elt) diff --git a/src/circl/math/fp25519/fp_amd64.h b/src/circl/math/fp25519/fp_amd64.h new file mode 100644 index 00000000000..7b25f16e416 --- /dev/null +++ b/src/circl/math/fp25519/fp_amd64.h @@ -0,0 +1,350 @@ +// This code was imported from https://github.com/armfazh/rfc7748_precomputed + +// CHECK_BMI2ADX triggers bmi2adx if supported, +// otherwise it fallbacks to legacy code. +#define CHECK_BMI2ADX(label, legacy, bmi2adx) \ + CMPB ·hasBmi2Adx(SB), $0 \ + JE label \ + bmi2adx \ + RET \ + label: \ + legacy \ + RET + +// cselect is a conditional move +// if b=1: it copies y into x; +// if b=0: x remains with the same value; +// if b<> 0,1: undefined. +// Uses: AX, DX, FLAGS +// Instr: x86_64, cmov +#define cselect(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ 0+y, DX; CMOVQNE DX, AX; MOVQ AX, 0+x; \ + MOVQ 8+x, AX; MOVQ 8+y, DX; CMOVQNE DX, AX; MOVQ AX, 8+x; \ + MOVQ 16+x, AX; MOVQ 16+y, DX; CMOVQNE DX, AX; MOVQ AX, 16+x; \ + MOVQ 24+x, AX; MOVQ 24+y, DX; CMOVQNE DX, AX; MOVQ AX, 24+x; + +// cswap is a conditional swap +// if b=1: x,y <- y,x; +// if b=0: x,y remain with the same values; +// if b<> 0,1: undefined. +// Uses: AX, DX, R8, FLAGS +// Instr: x86_64, cmov +#define cswap(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ AX, R8; MOVQ 0+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 0+x; MOVQ DX, 0+y; \ + MOVQ 8+x, AX; MOVQ AX, R8; MOVQ 8+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 8+x; MOVQ DX, 8+y; \ + MOVQ 16+x, AX; MOVQ AX, R8; MOVQ 16+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 16+x; MOVQ DX, 16+y; \ + MOVQ 24+x, AX; MOVQ AX, R8; MOVQ 24+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 24+x; MOVQ DX, 24+y; + +// additionLeg adds x and y and stores in z +// Uses: AX, DX, R8-R11, FLAGS +// Instr: x86_64, cmov +#define additionLeg(z,x,y) \ + MOVL $38, AX; \ + MOVL $0, DX; \ + MOVQ 0+x, R8; ADDQ 0+y, R8; \ + MOVQ 8+x, R9; ADCQ 8+y, R9; \ + MOVQ 16+x, R10; ADCQ 16+y, R10; \ + MOVQ 24+x, R11; ADCQ 24+y, R11; \ + CMOVQCS AX, DX; \ + ADDQ DX, R8; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ $0, R11; MOVQ R11, 24+z; \ + MOVL $0, DX; \ + CMOVQCS AX, DX; \ + ADDQ DX, R8; MOVQ R8, 0+z; + +// additionAdx adds x and y and stores in z +// Uses: AX, DX, R8-R11, FLAGS +// Instr: x86_64, cmov, adx +#define additionAdx(z,x,y) \ + MOVL $38, AX; \ + XORL DX, DX; \ + MOVQ 0+x, R8; ADCXQ 0+y, R8; \ + MOVQ 8+x, R9; ADCXQ 8+y, R9; \ + MOVQ 16+x, R10; ADCXQ 16+y, R10; \ + MOVQ 24+x, R11; ADCXQ 24+y, R11; \ + CMOVQCS AX, DX ; \ + XORL AX, AX; \ + ADCXQ DX, R8; \ + ADCXQ AX, R9; MOVQ R9, 8+z; \ + ADCXQ AX, R10; MOVQ R10, 16+z; \ + ADCXQ AX, R11; MOVQ R11, 24+z; \ + MOVL $38, DX; \ + CMOVQCS DX, AX; \ + ADDQ AX, R8; MOVQ R8, 0+z; + +// subtraction subtracts y from x and stores in z +// Uses: AX, DX, R8-R11, FLAGS +// Instr: x86_64, cmov +#define subtraction(z,x,y) \ + MOVL $38, AX; \ + MOVQ 0+x, R8; SUBQ 0+y, R8; \ + MOVQ 8+x, R9; SBBQ 8+y, R9; \ + MOVQ 16+x, R10; SBBQ 16+y, R10; \ + MOVQ 24+x, R11; SBBQ 24+y, R11; \ + MOVL $0, DX; \ + CMOVQCS AX, DX; \ + SUBQ DX, R8; \ + SBBQ $0, R9; MOVQ R9, 8+z; \ + SBBQ $0, R10; MOVQ R10, 16+z; \ + SBBQ $0, R11; MOVQ R11, 24+z; \ + MOVL $0, DX; \ + CMOVQCS AX, DX; \ + SUBQ DX, R8; MOVQ R8, 0+z; + +// integerMulAdx multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerMulAdx(z,x,y) \ + MOVQ 0+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R8; MOVQ AX, 0+z; \ + MULXQ 8+x, AX, R9; ADCXQ AX, R8; \ + MULXQ 16+x, AX, R10; ADCXQ AX, R9; \ + MULXQ 24+x, AX, R11; ADCXQ AX, R10; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R11; \ + MOVQ 8+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R12; ADCXQ R8, AX; MOVQ AX, 8+z; \ + MULXQ 8+x, AX, R13; ADCXQ R9, R12; ADOXQ AX, R12; \ + MULXQ 16+x, AX, R14; ADCXQ R10, R13; ADOXQ AX, R13; \ + MULXQ 24+x, AX, R15; ADCXQ R11, R14; ADOXQ AX, R14; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R15; ADOXQ AX, R15; \ + MOVQ 16+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R8; ADCXQ R12, AX; MOVQ AX, 16+z; \ + MULXQ 8+x, AX, R9; ADCXQ R13, R8; ADOXQ AX, R8; \ + MULXQ 16+x, AX, R10; ADCXQ R14, R9; ADOXQ AX, R9; \ + MULXQ 24+x, AX, R11; ADCXQ R15, R10; ADOXQ AX, R10; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R11; ADOXQ AX, R11; \ + MOVQ 24+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R12; ADCXQ R8, AX; MOVQ AX, 24+z; \ + MULXQ 8+x, AX, R13; ADCXQ R9, R12; ADOXQ AX, R12; MOVQ R12, 32+z; \ + MULXQ 16+x, AX, R14; ADCXQ R10, R13; ADOXQ AX, R13; MOVQ R13, 40+z; \ + MULXQ 24+x, AX, R15; ADCXQ R11, R14; ADOXQ AX, R14; MOVQ R14, 48+z; \ + MOVL $0, AX;;;;;;;;; ADCXQ AX, R15; ADOXQ AX, R15; MOVQ R15, 56+z; + +// integerMulLeg multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerMulLeg(z,x,y) \ + MOVQ 0+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, 0+z; MOVQ DX, R15; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R13, R15; \ + ADCQ R14, R10; MOVQ R10, 16+z; \ + ADCQ AX, R11; MOVQ R11, 24+z; \ + ADCQ $0, DX; MOVQ DX, 32+z; \ + MOVQ 8+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R12, R15; MOVQ R15, 8+z; \ + ADCQ R13, R9; \ + ADCQ R14, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + ADCQ 16+z, R9; MOVQ R9, R15; \ + ADCQ 24+z, R10; MOVQ R10, 24+z; \ + ADCQ 32+z, R11; MOVQ R11, 32+z; \ + ADCQ $0, DX; MOVQ DX, 40+z; \ + MOVQ 16+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R12, R15; MOVQ R15, 16+z; \ + ADCQ R13, R9; \ + ADCQ R14, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + ADCQ 24+z, R9; MOVQ R9, R15; \ + ADCQ 32+z, R10; MOVQ R10, 32+z; \ + ADCQ 40+z, R11; MOVQ R11, 40+z; \ + ADCQ $0, DX; MOVQ DX, 48+z; \ + MOVQ 24+y, R8; \ + MOVQ 0+x, AX; MULQ R8; MOVQ AX, R12; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R13; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R8; \ + ADDQ R12, R15; MOVQ R15, 24+z; \ + ADCQ R13, R9; \ + ADCQ R14, R10; \ + ADCQ AX, R11; \ + ADCQ $0, DX; \ + ADCQ 32+z, R9; MOVQ R9, 32+z; \ + ADCQ 40+z, R10; MOVQ R10, 40+z; \ + ADCQ 48+z, R11; MOVQ R11, 48+z; \ + ADCQ $0, DX; MOVQ DX, 56+z; + +// integerSqrLeg squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerSqrLeg(z,x) \ + MOVQ 0+x, R8; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, R9; MOVQ DX, R10; /* A[0]*A[1] */ \ + MOVQ 16+x, AX; MULQ R8; MOVQ AX, R14; MOVQ DX, R11; /* A[0]*A[2] */ \ + MOVQ 24+x, AX; MULQ R8; MOVQ AX, R15; MOVQ DX, R12; /* A[0]*A[3] */ \ + MOVQ 24+x, R8; \ + MOVQ 8+x, AX; MULQ R8; MOVQ AX, CX; MOVQ DX, R13; /* A[3]*A[1] */ \ + MOVQ 16+x, AX; MULQ R8; /* A[3]*A[2] */ \ + \ + ADDQ R14, R10;\ + ADCQ R15, R11; MOVL $0, R15;\ + ADCQ CX, R12;\ + ADCQ AX, R13;\ + ADCQ $0, DX; MOVQ DX, R14;\ + MOVQ 8+x, AX; MULQ 16+x;\ + \ + ADDQ AX, R11;\ + ADCQ DX, R12;\ + ADCQ $0, R13;\ + ADCQ $0, R14;\ + ADCQ $0, R15;\ + \ + SHLQ $1, R14, R15; MOVQ R15, 56+z;\ + SHLQ $1, R13, R14; MOVQ R14, 48+z;\ + SHLQ $1, R12, R13; MOVQ R13, 40+z;\ + SHLQ $1, R11, R12; MOVQ R12, 32+z;\ + SHLQ $1, R10, R11; MOVQ R11, 24+z;\ + SHLQ $1, R9, R10; MOVQ R10, 16+z;\ + SHLQ $1, R9; MOVQ R9, 8+z;\ + \ + MOVQ 0+x,AX; MULQ AX; MOVQ AX, 0+z; MOVQ DX, R9;\ + MOVQ 8+x,AX; MULQ AX; MOVQ AX, R10; MOVQ DX, R11;\ + MOVQ 16+x,AX; MULQ AX; MOVQ AX, R12; MOVQ DX, R13;\ + MOVQ 24+x,AX; MULQ AX; MOVQ AX, R14; MOVQ DX, R15;\ + \ + ADDQ 8+z, R9; MOVQ R9, 8+z;\ + ADCQ 16+z, R10; MOVQ R10, 16+z;\ + ADCQ 24+z, R11; MOVQ R11, 24+z;\ + ADCQ 32+z, R12; MOVQ R12, 32+z;\ + ADCQ 40+z, R13; MOVQ R13, 40+z;\ + ADCQ 48+z, R14; MOVQ R14, 48+z;\ + ADCQ 56+z, R15; MOVQ R15, 56+z; + +// integerSqrAdx squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerSqrAdx(z,x) \ + MOVQ 0+x, DX; /* A[0] */ \ + MULXQ 8+x, R8, R14; /* A[1]*A[0] */ XORL R15, R15; \ + MULXQ 16+x, R9, R10; /* A[2]*A[0] */ ADCXQ R14, R9; \ + MULXQ 24+x, AX, CX; /* A[3]*A[0] */ ADCXQ AX, R10; \ + MOVQ 24+x, DX; /* A[3] */ \ + MULXQ 8+x, R11, R12; /* A[1]*A[3] */ ADCXQ CX, R11; \ + MULXQ 16+x, AX, R13; /* A[2]*A[3] */ ADCXQ AX, R12; \ + MOVQ 8+x, DX; /* A[1] */ ADCXQ R15, R13; \ + MULXQ 16+x, AX, CX; /* A[2]*A[1] */ MOVL $0, R14; \ + ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADCXQ R15, R14; \ + XORL R15, R15; \ + ADOXQ AX, R10; ADCXQ R8, R8; \ + ADOXQ CX, R11; ADCXQ R9, R9; \ + ADOXQ R15, R12; ADCXQ R10, R10; \ + ADOXQ R15, R13; ADCXQ R11, R11; \ + ADOXQ R15, R14; ADCXQ R12, R12; \ + ;;;;;;;;;;;;;;; ADCXQ R13, R13; \ + ;;;;;;;;;;;;;;; ADCXQ R14, R14; \ + MOVQ 0+x, DX; MULXQ DX, AX, CX; /* A[0]^2 */ \ + ;;;;;;;;;;;;;;; MOVQ AX, 0+z; \ + ADDQ CX, R8; MOVQ R8, 8+z; \ + MOVQ 8+x, DX; MULXQ DX, AX, CX; /* A[1]^2 */ \ + ADCQ AX, R9; MOVQ R9, 16+z; \ + ADCQ CX, R10; MOVQ R10, 24+z; \ + MOVQ 16+x, DX; MULXQ DX, AX, CX; /* A[2]^2 */ \ + ADCQ AX, R11; MOVQ R11, 32+z; \ + ADCQ CX, R12; MOVQ R12, 40+z; \ + MOVQ 24+x, DX; MULXQ DX, AX, CX; /* A[3]^2 */ \ + ADCQ AX, R13; MOVQ R13, 48+z; \ + ADCQ CX, R14; MOVQ R14, 56+z; + +// reduceFromDouble finds z congruent to x modulo p such that 0> 63) + // PUT BIT 255 IN CARRY FLAG AND CLEAR + x3 &^= 1 << 63 + + x0, c0 := bits.Add64(x0, cx, 0) + x1, c1 := bits.Add64(x1, 0, c0) + x2, c2 := bits.Add64(x2, 0, c1) + x3, _ = bits.Add64(x3, 0, c2) + + // TEST FOR BIT 255 AGAIN; ONLY TRIGGERED ON OVERFLOW MODULO 2^255-19 + // cx = C[255] ? 0 : 19 + cx = uint64(19) &^ (-(x3 >> 63)) + // CLEAR BIT 255 + x3 &^= 1 << 63 + + x0, c0 = bits.Sub64(x0, cx, 0) + x1, c1 = bits.Sub64(x1, 0, c0) + x2, c2 = bits.Sub64(x2, 0, c1) + x3, _ = bits.Sub64(x3, 0, c2) + + binary.LittleEndian.PutUint64(x[0*8:1*8], x0) + binary.LittleEndian.PutUint64(x[1*8:2*8], x1) + binary.LittleEndian.PutUint64(x[2*8:3*8], x2) + binary.LittleEndian.PutUint64(x[3*8:4*8], x3) +} + +func red64(z *Elt, x0, x1, x2, x3, x4, x5, x6, x7 uint64) { + h0, l0 := bits.Mul64(x4, 38) + h1, l1 := bits.Mul64(x5, 38) + h2, l2 := bits.Mul64(x6, 38) + h3, l3 := bits.Mul64(x7, 38) + + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + + l0, c0 = bits.Add64(l0, x0, 0) + l1, c1 = bits.Add64(l1, x1, c0) + l2, c2 = bits.Add64(l2, x2, c1) + l3, c3 := bits.Add64(l3, x3, c2) + l4, _ = bits.Add64(l4, 0, c3) + + _, l4 = bits.Mul64(l4, 38) + l0, c0 = bits.Add64(l0, l4, 0) + z1, c1 := bits.Add64(l1, 0, c0) + z2, c2 := bits.Add64(l2, 0, c1) + z3, c3 := bits.Add64(l3, 0, c2) + z0, _ := bits.Add64(l0, (-c3)&38, 0) + + binary.LittleEndian.PutUint64(z[0*8:1*8], z0) + binary.LittleEndian.PutUint64(z[1*8:2*8], z1) + binary.LittleEndian.PutUint64(z[2*8:3*8], z2) + binary.LittleEndian.PutUint64(z[3*8:4*8], z3) +} diff --git a/src/circl/math/fp25519/fp_noasm.go b/src/circl/math/fp25519/fp_noasm.go new file mode 100644 index 00000000000..08a07b6671f --- /dev/null +++ b/src/circl/math/fp25519/fp_noasm.go @@ -0,0 +1,12 @@ +// +build !amd64 purego + +package fp25519 + +func cmov(x, y *Elt, n uint) { cmovGeneric(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapGeneric(x, y, n) } +func add(z, x, y *Elt) { addGeneric(z, x, y) } +func sub(z, x, y *Elt) { subGeneric(z, x, y) } +func addsub(x, y *Elt) { addsubGeneric(x, y) } +func mul(z, x, y *Elt) { mulGeneric(z, x, y) } +func sqr(z, x *Elt) { sqrGeneric(z, x) } +func modp(z *Elt) { modpGeneric(z) } diff --git a/src/circl/math/fp25519/fp_test.go b/src/circl/math/fp25519/fp_test.go new file mode 100644 index 00000000000..072d6d52157 --- /dev/null +++ b/src/circl/math/fp25519/fp_test.go @@ -0,0 +1,426 @@ +package fp25519 + +import ( + "crypto/rand" + "errors" + "fmt" + "math/big" + "testing" + + "circl/internal/conv" + "circl/internal/test" +) + +type tcmov func(x, y *Elt, n uint) +type tcswap func(x, y *Elt, n uint) +type tadd func(z, x, y *Elt) +type tsub func(z, x, y *Elt) +type taddsub func(x, y *Elt) +type tmul func(z, x, y *Elt) +type tsqr func(z, x *Elt) +type tmodp func(z *Elt) + +func testCmov(t *testing.T, f tcmov) { + const numTests = 1 << 9 + var x, y Elt + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + b := uint(y[0] & 0x1) + want := conv.BytesLe2BigInt(x[:]) + if b != 0 { + want = conv.BytesLe2BigInt(y[:]) + } + + f(&x, &y, b) + got := conv.BytesLe2BigInt(x[:]) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y, b) + } + } +} + +func testCswap(t *testing.T, f tcswap) { + const numTests = 1 << 9 + var x, y Elt + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + b := uint(y[0] & 0x1) + want0 := conv.BytesLe2BigInt(x[:]) + want1 := conv.BytesLe2BigInt(y[:]) + if b != 0 { + want0 = conv.BytesLe2BigInt(y[:]) + want1 = conv.BytesLe2BigInt(x[:]) + } + + f(&x, &y, b) + got0 := conv.BytesLe2BigInt(x[:]) + got1 := conv.BytesLe2BigInt(y[:]) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, y, b) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, y, b) + } + } +} + +func testAdd(t *testing.T, f tadd) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + f(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want := xx.Add(xx, yy).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testSub(t *testing.T, f tsub) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + f(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want := xx.Sub(xx, yy).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testAddSub(t *testing.T, f taddsub) { + const numTests = 1 << 9 + var x, y Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + want0, want1 := big.NewInt(0), big.NewInt(0) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want0.Add(xx, yy).Mod(want0, p) + want1.Sub(xx, yy).Mod(want1, p) + + f(&x, &y) + Modp(&x) + Modp(&y) + got0 := conv.BytesLe2BigInt(x[:]) + got1 := conv.BytesLe2BigInt(y[:]) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, y) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, y) + } + } +} + +func testMul(t *testing.T, f tmul) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + f(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want := xx.Mul(xx, yy).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testSqr(t *testing.T, f tsqr) { + const numTests = 1 << 9 + var x, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + f(&z, &x) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx := conv.BytesLe2BigInt(x[:]) + want := xx.Mul(xx, xx).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func testModp(t *testing.T, f tmodp) { + const numTests = 1 << 9 + var x Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + two256 := big.NewInt(1) + two256.Lsh(two256, 256) + want := new(big.Int) + for i := 0; i < numTests; i++ { + bigX, _ := rand.Int(rand.Reader, two256) + bigX.Add(bigX, p).Mod(bigX, two256) + conv.BigInt2BytesLe(x[:], bigX) + + f(&x) + got := conv.BytesLe2BigInt(x[:]) + + want.Mod(bigX, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, bigX) + } + } +} + +func TestIsZero(t *testing.T) { + var x Elt + got := IsZero(&x) + want := true + if got != want { + test.ReportError(t, got, want, x) + } + + SetOne(&x) + got = IsZero(&x) + want = false + if got != want { + test.ReportError(t, got, want, x) + } + + x = P() + got = IsZero(&x) + want = true + if got != want { + test.ReportError(t, got, want, x) + } + + x = Elt{ // 2P + 0xda, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + } + got = IsZero(&x) + want = true + if got != want { + test.ReportError(t, got, want, x) + } +} + +func TestToBytes(t *testing.T) { + const numTests = 1 << 9 + var x Elt + var got, want [Size]byte + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + err := ToBytes(got[:], &x) + conv.BigInt2BytesLe(want[:], conv.BytesLe2BigInt(x[:])) + if got != want || err != nil { + test.ReportError(t, got, want, x) + } + } + + { + var small [Size + 1]byte + got := ToBytes(small[:], &x) + want := errors.New("wrong size") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + } +} + +func TestString(t *testing.T) { + const numTests = 1 << 9 + var x Elt + var bigX big.Int + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + got, _ := bigX.SetString(fmt.Sprint(x), 0) + want := conv.BytesLe2BigInt(x[:]) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestNeg(t *testing.T) { + const numTests = 1 << 9 + var x, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + Neg(&z, &x) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + bigX := conv.BytesLe2BigInt(x[:]) + want := bigX.Neg(bigX).Mod(bigX, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, bigX) + } + } +} + +func TestInv(t *testing.T) { + const numTests = 1 << 9 + var x, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + Inv(&z, &x) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx := conv.BytesLe2BigInt(x[:]) + want := xx.ModInverse(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestInvSqrt(t *testing.T) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + exp := big.NewInt(3) + exp.Add(p, exp).Rsh(exp, 3) + var frac, root, sqRoot big.Int + var wantQR bool + var want *big.Int + sqrtMinusOne, _ := new(big.Int).SetString("2b8324804fc1df0b2b4d00993dfbd7a72f431806ad2fe478c4ee1b274a0ea0b0", 16) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + + gotQR := InvSqrt(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx := conv.BytesLe2BigInt(x[:]) + yy := conv.BytesLe2BigInt(y[:]) + frac.ModInverse(yy, p).Mul(&frac, xx).Mod(&frac, p) + root.Exp(&frac, exp, p) + sqRoot.Mul(&root, &root).Mod(&sqRoot, p) + + if sqRoot.Cmp(&frac) == 0 { + want = &root + wantQR = true + } else { + frac.Neg(&frac).Mod(&frac, p) + if sqRoot.Cmp(&frac) == 0 { + want = root.Mul(&root, sqrtMinusOne).Mod(&root, p) + wantQR = true + } else { + want = big.NewInt(0) + wantQR = false + } + } + + if wantQR { + if gotQR != wantQR || got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } else { + if gotQR != wantQR { + test.ReportError(t, gotQR, wantQR, x, y) + } + } + } +} + +func TestGeneric(t *testing.T) { + t.Run("Cmov", func(t *testing.T) { testCmov(t, cmovGeneric) }) + t.Run("Cswap", func(t *testing.T) { testCswap(t, cswapGeneric) }) + t.Run("Add", func(t *testing.T) { testAdd(t, addGeneric) }) + t.Run("Sub", func(t *testing.T) { testSub(t, subGeneric) }) + t.Run("AddSub", func(t *testing.T) { testAddSub(t, addsubGeneric) }) + t.Run("Mul", func(t *testing.T) { testMul(t, mulGeneric) }) + t.Run("Sqr", func(t *testing.T) { testSqr(t, sqrGeneric) }) + t.Run("Modp", func(t *testing.T) { testModp(t, modpGeneric) }) +} + +func TestNative(t *testing.T) { + t.Run("Cmov", func(t *testing.T) { testCmov(t, Cmov) }) + t.Run("Cswap", func(t *testing.T) { testCswap(t, Cswap) }) + t.Run("Add", func(t *testing.T) { testAdd(t, Add) }) + t.Run("Sub", func(t *testing.T) { testSub(t, Sub) }) + t.Run("AddSub", func(t *testing.T) { testAddSub(t, AddSub) }) + t.Run("Mul", func(t *testing.T) { testMul(t, Mul) }) + t.Run("Sqr", func(t *testing.T) { testSqr(t, Sqr) }) + t.Run("Modp", func(t *testing.T) { testModp(t, Modp) }) +} +func BenchmarkFp(b *testing.B) { + var x, y, z Elt + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + _, _ = rand.Read(z[:]) + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Add(&x, &y, &z) + } + }) + b.Run("Sub", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Sub(&x, &y, &z) + } + }) + b.Run("Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Mul(&x, &y, &z) + } + }) + b.Run("Sqr", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Sqr(&x, &y) + } + }) + b.Run("Inv", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Inv(&x, &y) + } + }) + b.Run("InvSqrt", func(b *testing.B) { + for i := 0; i < b.N; i++ { + InvSqrt(&z, &x, &y) + } + }) +} diff --git a/src/circl/math/fp448/edgecases_test.go b/src/circl/math/fp448/edgecases_test.go new file mode 100644 index 00000000000..8c6f9d69501 --- /dev/null +++ b/src/circl/math/fp448/edgecases_test.go @@ -0,0 +1,101 @@ +package fp448 + +import ( + "encoding/binary" + "math/big" + "testing" + + "circl/internal/conv" + "circl/internal/test" +) + +func TestEdgeCases(t *testing.T) { + t.Run("red64", func(t *testing.T) { ecRed64(t) }) +} + +func ecRed64(t *testing.T) { + var cases = [][2 * Size]byte{ + { + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + }, + { + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + }, + { + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x45, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + }, + } + two448 := big.NewInt(1) + two448.Lsh(two448, 448) // 2^448 + mask448 := big.NewInt(1) + mask448.Sub(two448, mask448) // 2^448-1 + two224plus1 := big.NewInt(1) + two224plus1.Lsh(two224plus1, 224) + two224plus1.Add(two224plus1, big.NewInt(1)) // 2^224+1 + + var got, want Elt + var lo, hi [7]uint64 + for _, c := range cases { + cLo := c[0*Size:] + cHi := c[1*Size:] + for i := range lo { + lo[i] = binary.LittleEndian.Uint64(cLo[i*8 : (i+1)*8]) + hi[i] = binary.LittleEndian.Uint64(cHi[i*8 : (i+1)*8]) + } + red64(&got, &lo, &hi) + + tt := conv.BytesLe2BigInt(c[:2*Size]) + + var loBig, hiBig big.Int + for tt.Cmp(two448) >= 0 { + loBig.And(tt, mask448) + hiBig.Rsh(tt, 448) + tt.Mul(&hiBig, two224plus1) + tt.Add(tt, &loBig) + } + conv.BigInt2BytesLe(want[:], tt) + + if got != want { + test.ReportError(t, got, want, conv.BytesLe2BigInt(c[:2*Size])) + } + } +} diff --git a/src/circl/math/fp448/fp.go b/src/circl/math/fp448/fp.go new file mode 100644 index 00000000000..c444f3edf4a --- /dev/null +++ b/src/circl/math/fp448/fp.go @@ -0,0 +1,164 @@ +// Package fp448 provides prime field arithmetic over GF(2^448-2^224-1). +package fp448 + +import ( + "errors" + + "circl/internal/conv" +) + +// Size in bytes of an element. +const Size = 56 + +// Elt is a prime field element. +type Elt [Size]byte + +func (e Elt) String() string { return conv.BytesLe2Hex(e[:]) } + +// p is the prime modulus 2^448-2^224-1. +var p = Elt{ + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, +} + +// P returns the prime modulus 2^448-2^224-1. +func P() Elt { return p } + +// ToBytes stores in b the little-endian byte representation of x. +func ToBytes(b []byte, x *Elt) error { + if len(b) != Size { + return errors.New("wrong size") + } + Modp(x) + copy(b, x[:]) + return nil +} + +// IsZero returns true if x is equal to 0. +func IsZero(x *Elt) bool { Modp(x); return *x == Elt{} } + +// IsOne returns true if x is equal to 1. +func IsOne(x *Elt) bool { Modp(x); return *x == Elt{1} } + +// SetOne assigns x=1. +func SetOne(x *Elt) { *x = Elt{1} } + +// One returns the 1 element. +func One() (x Elt) { x = Elt{1}; return } + +// Neg calculates z = -x. +func Neg(z, x *Elt) { Sub(z, &p, x) } + +// Modp ensures that z is between [0,p-1]. +func Modp(z *Elt) { Sub(z, z, &p) } + +// InvSqrt calculates z = sqrt(x/y) iff x/y is a quadratic-residue. If so, +// isQR = true; otherwise, isQR = false, since x/y is a quadratic non-residue, +// and z = sqrt(-x/y). +func InvSqrt(z, x, y *Elt) (isQR bool) { + // First note that x^(2(k+1)) = x^(p-1)/2 * x = legendre(x) * x + // so that's x if x is a quadratic residue and -x otherwise. + // Next, y^(6k+3) = y^(4k+2) * y^(2k+1) = y^(p-1) * y^((p-1)/2) = legendre(y). + // So the z we compute satisfies z^2 y = x^(2(k+1)) y^(6k+3) = legendre(x)*legendre(y). + // Thus if x and y are quadratic residues, then z is indeed sqrt(x/y). + t0, t1 := &Elt{}, &Elt{} + Mul(t0, x, y) // x*y + Sqr(t1, y) // y^2 + Mul(t1, t0, t1) // x*y^3 + powPminus3div4(z, t1) // (x*y^3)^k + Mul(z, z, t0) // z = x*y*(x*y^3)^k = x^(k+1) * y^(3k+1) + + // Check if x/y is a quadratic residue + Sqr(t0, z) // z^2 + Mul(t0, t0, y) // y*z^2 + Sub(t0, t0, x) // y*z^2-x + return IsZero(t0) +} + +// Inv calculates z = 1/x mod p. +func Inv(z, x *Elt) { + // Calculates z = x^(4k+1) = x^(p-3+1) = x^(p-2) = x^-1, where k = (p-3)/4. + t := &Elt{} + powPminus3div4(t, x) // t = x^k + Sqr(t, t) // t = x^2k + Sqr(t, t) // t = x^4k + Mul(z, t, x) // z = x^(4k+1) +} + +// powPminus3div4 calculates z = x^k mod p, where k = (p-3)/4. +func powPminus3div4(z, x *Elt) { + x0, x1 := &Elt{}, &Elt{} + Sqr(z, x) + Mul(z, z, x) + Sqr(x0, z) + Mul(x0, x0, x) + Sqr(z, x0) + Sqr(z, z) + Sqr(z, z) + Mul(z, z, x0) + Sqr(x1, z) + for i := 0; i < 5; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, z) + Sqr(z, x1) + for i := 0; i < 11; i++ { + Sqr(z, z) + } + Mul(z, z, x1) + Sqr(z, z) + Sqr(z, z) + Sqr(z, z) + Mul(z, z, x0) + Sqr(x1, z) + for i := 0; i < 26; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, z) + Sqr(z, x1) + for i := 0; i < 53; i++ { + Sqr(z, z) + } + Mul(z, z, x1) + Sqr(z, z) + Sqr(z, z) + Sqr(z, z) + Mul(z, z, x0) + Sqr(x1, z) + for i := 0; i < 110; i++ { + Sqr(x1, x1) + } + Mul(x1, x1, z) + Sqr(z, x1) + Mul(z, z, x) + for i := 0; i < 223; i++ { + Sqr(z, z) + } + Mul(z, z, x1) +} + +// Cmov assigns y to x if n is 1. +func Cmov(x, y *Elt, n uint) { cmov(x, y, n) } + +// Cswap interchanges x and y if n is 1. +func Cswap(x, y *Elt, n uint) { cswap(x, y, n) } + +// Add calculates z = x+y mod p. +func Add(z, x, y *Elt) { add(z, x, y) } + +// Sub calculates z = x-y mod p. +func Sub(z, x, y *Elt) { sub(z, x, y) } + +// AddSub calculates (x,y) = (x+y mod p, x-y mod p). +func AddSub(x, y *Elt) { addsub(x, y) } + +// Mul calculates z = x*y mod p. +func Mul(z, x, y *Elt) { mul(z, x, y) } + +// Sqr calculates z = x^2 mod p. +func Sqr(z, x *Elt) { sqr(z, x) } diff --git a/src/circl/math/fp448/fp_amd64.go b/src/circl/math/fp448/fp_amd64.go new file mode 100644 index 00000000000..0e59b313ee9 --- /dev/null +++ b/src/circl/math/fp448/fp_amd64.go @@ -0,0 +1,42 @@ +// +build amd64,!purego + +package fp448 + +import ( + "internal/cpu" +) + +var hasBmi2Adx = cpu.X86.HasBMI2 && cpu.X86.HasADX + +var _ = hasBmi2Adx + +func cmov(x, y *Elt, n uint) { cmovAmd64(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapAmd64(x, y, n) } +func add(z, x, y *Elt) { addAmd64(z, x, y) } +func sub(z, x, y *Elt) { subAmd64(z, x, y) } +func addsub(x, y *Elt) { addsubAmd64(x, y) } +func mul(z, x, y *Elt) { mulAmd64(z, x, y) } +func sqr(z, x *Elt) { sqrAmd64(z, x) } + +/* Functions defined in fp_amd64.s */ + +//go:noescape +func cmovAmd64(x, y *Elt, n uint) + +//go:noescape +func cswapAmd64(x, y *Elt, n uint) + +//go:noescape +func addAmd64(z, x, y *Elt) + +//go:noescape +func subAmd64(z, x, y *Elt) + +//go:noescape +func addsubAmd64(x, y *Elt) + +//go:noescape +func mulAmd64(z, x, y *Elt) + +//go:noescape +func sqrAmd64(z, x *Elt) diff --git a/src/circl/math/fp448/fp_amd64.h b/src/circl/math/fp448/fp_amd64.h new file mode 100644 index 00000000000..0b7dea174b9 --- /dev/null +++ b/src/circl/math/fp448/fp_amd64.h @@ -0,0 +1,590 @@ +// This code was imported from https://github.com/armfazh/rfc7748_precomputed + +// CHECK_BMI2ADX triggers bmi2adx if supported, +// otherwise it fallbacks to legacy code. +#define CHECK_BMI2ADX(label, legacy, bmi2adx) \ + CMPB ·hasBmi2Adx(SB), $0 \ + JE label \ + bmi2adx \ + RET \ + label: \ + legacy \ + RET + +// cselect is a conditional move +// if b=1: it copies y into x; +// if b=0: x remains with the same value; +// if b<> 0,1: undefined. +// Uses: AX, DX, FLAGS +// Instr: x86_64, cmov +#define cselect(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ 0+y, DX; CMOVQNE DX, AX; MOVQ AX, 0+x; \ + MOVQ 8+x, AX; MOVQ 8+y, DX; CMOVQNE DX, AX; MOVQ AX, 8+x; \ + MOVQ 16+x, AX; MOVQ 16+y, DX; CMOVQNE DX, AX; MOVQ AX, 16+x; \ + MOVQ 24+x, AX; MOVQ 24+y, DX; CMOVQNE DX, AX; MOVQ AX, 24+x; \ + MOVQ 32+x, AX; MOVQ 32+y, DX; CMOVQNE DX, AX; MOVQ AX, 32+x; \ + MOVQ 40+x, AX; MOVQ 40+y, DX; CMOVQNE DX, AX; MOVQ AX, 40+x; \ + MOVQ 48+x, AX; MOVQ 48+y, DX; CMOVQNE DX, AX; MOVQ AX, 48+x; + +// cswap is a conditional swap +// if b=1: x,y <- y,x; +// if b=0: x,y remain with the same values; +// if b<> 0,1: undefined. +// Uses: AX, DX, R8, FLAGS +// Instr: x86_64, cmov +#define cswap(x,y,b) \ + TESTQ b, b \ + MOVQ 0+x, AX; MOVQ AX, R8; MOVQ 0+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 0+x; MOVQ DX, 0+y; \ + MOVQ 8+x, AX; MOVQ AX, R8; MOVQ 8+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 8+x; MOVQ DX, 8+y; \ + MOVQ 16+x, AX; MOVQ AX, R8; MOVQ 16+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 16+x; MOVQ DX, 16+y; \ + MOVQ 24+x, AX; MOVQ AX, R8; MOVQ 24+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 24+x; MOVQ DX, 24+y; \ + MOVQ 32+x, AX; MOVQ AX, R8; MOVQ 32+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 32+x; MOVQ DX, 32+y; \ + MOVQ 40+x, AX; MOVQ AX, R8; MOVQ 40+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 40+x; MOVQ DX, 40+y; \ + MOVQ 48+x, AX; MOVQ AX, R8; MOVQ 48+y, DX; CMOVQNE DX, AX; CMOVQNE R8, DX; MOVQ AX, 48+x; MOVQ DX, 48+y; + +// additionLeg adds x and y and stores in z +// Uses: AX, DX, R8-R14, FLAGS +// Instr: x86_64 +#define additionLeg(z,x,y) \ + MOVQ 0+x, R8; ADDQ 0+y, R8; \ + MOVQ 8+x, R9; ADCQ 8+y, R9; \ + MOVQ 16+x, R10; ADCQ 16+y, R10; \ + MOVQ 24+x, R11; ADCQ 24+y, R11; \ + MOVQ 32+x, R12; ADCQ 32+y, R12; \ + MOVQ 40+x, R13; ADCQ 40+y, R13; \ + MOVQ 48+x, R14; ADCQ 48+y, R14; \ + MOVQ $0, AX; ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ $0, AX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ DX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ R8, 0+z; \ + ADCQ $0, R9; MOVQ R9, 8+z; \ + ADCQ $0, R10; MOVQ R10, 16+z; \ + ADCQ DX, R11; MOVQ R11, 24+z; \ + ADCQ $0, R12; MOVQ R12, 32+z; \ + ADCQ $0, R13; MOVQ R13, 40+z; \ + ADCQ $0, R14; MOVQ R14, 48+z; + + +// additionAdx adds x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, adx +#define additionAdx(z,x,y) \ + MOVL $32, R15; \ + XORL DX, DX; \ + MOVQ 0+x, R8; ADCXQ 0+y, R8; \ + MOVQ 8+x, R9; ADCXQ 8+y, R9; \ + MOVQ 16+x, R10; ADCXQ 16+y, R10; \ + MOVQ 24+x, R11; ADCXQ 24+y, R11; \ + MOVQ 32+x, R12; ADCXQ 32+y, R12; \ + MOVQ 40+x, R13; ADCXQ 40+y, R13; \ + MOVQ 48+x, R14; ADCXQ 48+y, R14; \ + ;;;;;;;;;;;;;;; ADCXQ DX, DX; \ + XORL AX, AX; \ + ADCXQ DX, R8; SHLXQ R15, DX, DX; \ + ADCXQ AX, R9; \ + ADCXQ AX, R10; \ + ADCXQ DX, R11; \ + ADCXQ AX, R12; \ + ADCXQ AX, R13; \ + ADCXQ AX, R14; \ + ADCXQ AX, AX; \ + XORL DX, DX; \ + ADCXQ AX, R8; MOVQ R8, 0+z; SHLXQ R15, AX, AX; \ + ADCXQ DX, R9; MOVQ R9, 8+z; \ + ADCXQ DX, R10; MOVQ R10, 16+z; \ + ADCXQ AX, R11; MOVQ R11, 24+z; \ + ADCXQ DX, R12; MOVQ R12, 32+z; \ + ADCXQ DX, R13; MOVQ R13, 40+z; \ + ADCXQ DX, R14; MOVQ R14, 48+z; + +// subtraction subtracts y from x and stores in z +// Uses: AX, DX, R8-R14, FLAGS +// Instr: x86_64 +#define subtraction(z,x,y) \ + MOVQ 0+x, R8; SUBQ 0+y, R8; \ + MOVQ 8+x, R9; SBBQ 8+y, R9; \ + MOVQ 16+x, R10; SBBQ 16+y, R10; \ + MOVQ 24+x, R11; SBBQ 24+y, R11; \ + MOVQ 32+x, R12; SBBQ 32+y, R12; \ + MOVQ 40+x, R13; SBBQ 40+y, R13; \ + MOVQ 48+x, R14; SBBQ 48+y, R14; \ + MOVQ $0, AX; SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ $0, AX; \ + SBBQ $0, R9; \ + SBBQ $0, R10; \ + SBBQ DX, R11; \ + SBBQ $0, R12; \ + SBBQ $0, R13; \ + SBBQ $0, R14; \ + SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ R8, 0+z; \ + SBBQ $0, R9; MOVQ R9, 8+z; \ + SBBQ $0, R10; MOVQ R10, 16+z; \ + SBBQ DX, R11; MOVQ R11, 24+z; \ + SBBQ $0, R12; MOVQ R12, 32+z; \ + SBBQ $0, R13; MOVQ R13, 40+z; \ + SBBQ $0, R14; MOVQ R14, 48+z; + +// maddBmi2Adx multiplies x and y and accumulates in z +// Uses: AX, DX, R15, FLAGS +// Instr: x86_64, bmi2, adx +#define maddBmi2Adx(z,x,y,i,r0,r1,r2,r3,r4,r5,r6) \ + MOVQ i+y, DX; XORL AX, AX; \ + MULXQ 0+x, AX, R8; ADOXQ AX, r0; ADCXQ R8, r1; MOVQ r0,i+z; \ + MULXQ 8+x, AX, r0; ADOXQ AX, r1; ADCXQ r0, r2; MOVQ $0, R8; \ + MULXQ 16+x, AX, r0; ADOXQ AX, r2; ADCXQ r0, r3; \ + MULXQ 24+x, AX, r0; ADOXQ AX, r3; ADCXQ r0, r4; \ + MULXQ 32+x, AX, r0; ADOXQ AX, r4; ADCXQ r0, r5; \ + MULXQ 40+x, AX, r0; ADOXQ AX, r5; ADCXQ r0, r6; \ + MULXQ 48+x, AX, r0; ADOXQ AX, r6; ADCXQ R8, r0; \ + ;;;;;;;;;;;;;;;;;;; ADOXQ R8, r0; + +// integerMulAdx multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerMulAdx(z,x,y) \ + MOVQ 0+y, DX; XORL AX, AX; MOVQ $0, R8; \ + MULXQ 0+x, AX, R9; MOVQ AX, 0+z; \ + MULXQ 8+x, AX, R10; ADCXQ AX, R9; \ + MULXQ 16+x, AX, R11; ADCXQ AX, R10; \ + MULXQ 24+x, AX, R12; ADCXQ AX, R11; \ + MULXQ 32+x, AX, R13; ADCXQ AX, R12; \ + MULXQ 40+x, AX, R14; ADCXQ AX, R13; \ + MULXQ 48+x, AX, R15; ADCXQ AX, R14; \ + ;;;;;;;;;;;;;;;;;;;; ADCXQ R8, R15; \ + maddBmi2Adx(z,x,y, 8, R9,R10,R11,R12,R13,R14,R15) \ + maddBmi2Adx(z,x,y,16,R10,R11,R12,R13,R14,R15, R9) \ + maddBmi2Adx(z,x,y,24,R11,R12,R13,R14,R15, R9,R10) \ + maddBmi2Adx(z,x,y,32,R12,R13,R14,R15, R9,R10,R11) \ + maddBmi2Adx(z,x,y,40,R13,R14,R15, R9,R10,R11,R12) \ + maddBmi2Adx(z,x,y,48,R14,R15, R9,R10,R11,R12,R13) \ + MOVQ R15, 56+z; \ + MOVQ R9, 64+z; \ + MOVQ R10, 72+z; \ + MOVQ R11, 80+z; \ + MOVQ R12, 88+z; \ + MOVQ R13, 96+z; \ + MOVQ R14, 104+z; + +// maddLegacy multiplies x and y and accumulates in z +// Uses: AX, DX, R15, FLAGS +// Instr: x86_64 +#define maddLegacy(z,x,y,i) \ + MOVQ i+y, R15; \ + MOVQ 0+x, AX; MULQ R15; MOVQ AX, R8; ;;;;;;;;;;;; MOVQ DX, R9; \ + MOVQ 8+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \ + MOVQ 16+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \ + MOVQ 24+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \ + MOVQ 32+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \ + MOVQ 40+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \ + MOVQ 48+x, AX; MULQ R15; ADDQ AX, R14; ADCQ $0, DX; \ + ADDQ 0+i+z, R8; MOVQ R8, 0+i+z; \ + ADCQ 8+i+z, R9; MOVQ R9, 8+i+z; \ + ADCQ 16+i+z, R10; MOVQ R10, 16+i+z; \ + ADCQ 24+i+z, R11; MOVQ R11, 24+i+z; \ + ADCQ 32+i+z, R12; MOVQ R12, 32+i+z; \ + ADCQ 40+i+z, R13; MOVQ R13, 40+i+z; \ + ADCQ 48+i+z, R14; MOVQ R14, 48+i+z; \ + ADCQ $0, DX; MOVQ DX, 56+i+z; + +// integerMulLeg multiplies x and y and stores in z +// Uses: AX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerMulLeg(z,x,y) \ + MOVQ 0+y, R15; \ + MOVQ 0+x, AX; MULQ R15; MOVQ AX, 0+z; ;;;;;;;;;;;; MOVQ DX, R8; \ + MOVQ 8+x, AX; MULQ R15; ADDQ AX, R8; ADCQ $0, DX; MOVQ DX, R9; MOVQ R8, 8+z; \ + MOVQ 16+x, AX; MULQ R15; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; MOVQ R9, 16+z; \ + MOVQ 24+x, AX; MULQ R15; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; MOVQ R10, 24+z; \ + MOVQ 32+x, AX; MULQ R15; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; MOVQ R11, 32+z; \ + MOVQ 40+x, AX; MULQ R15; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; MOVQ R12, 40+z; \ + MOVQ 48+x, AX; MULQ R15; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX,56+z; MOVQ R13, 48+z; \ + maddLegacy(z,x,y, 8) \ + maddLegacy(z,x,y,16) \ + maddLegacy(z,x,y,24) \ + maddLegacy(z,x,y,32) \ + maddLegacy(z,x,y,40) \ + maddLegacy(z,x,y,48) + +// integerSqrLeg squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64 +#define integerSqrLeg(z,x) \ + XORL R15, R15; \ + MOVQ 0+x, CX; \ + MOVQ CX, AX; MULQ CX; MOVQ AX, 0+z; MOVQ DX, R8; \ + ADDQ CX, CX; ADCQ $0, R15; \ + MOVQ 8+x, AX; MULQ CX; ADDQ AX, R8; ADCQ $0, DX; MOVQ DX, R9; MOVQ R8, 8+z; \ + MOVQ 16+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ DX, R10; \ + MOVQ 24+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; MOVQ DX, R11; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ DX, R12; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; MOVQ DX, R13; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ DX, R14; \ + \ + MOVQ 8+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ R9,16+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 8+x, AX; ADDQ AX, DX; ADCQ $0, R11; MOVQ DX, R8; \ + ADDQ 8+x, CX; ADCQ $0, R15; \ + MOVQ 16+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX, R8; MOVQ R10, 24+z; \ + MOVQ 24+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; ADDQ R8, R11; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; ADDQ R8, R13; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R9; \ + \ + MOVQ 16+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ R11, 32+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 16+x,AX; ADDQ AX, DX; ADCQ $0, R13; MOVQ DX, R8; \ + ADDQ 16+x, CX; ADCQ $0, R15; \ + MOVQ 24+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; MOVQ R12, 40+z; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; ADDQ R8, R13; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; ADDQ R8, R9; ADCQ $0, DX; MOVQ DX,R10; \ + \ + MOVQ 24+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ R13, 48+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 24+x,AX; ADDQ AX, DX; ADCQ $0, R9; MOVQ DX, R8; \ + ADDQ 24+x, CX; ADCQ $0, R15; \ + MOVQ 32+x, AX; MULQ CX; ADDQ AX, R14; ADCQ $0, DX; ADDQ R8, R14; ADCQ $0, DX; MOVQ DX, R8; MOVQ R14, 56+z; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; ADDQ R8, R9; ADCQ $0, DX; MOVQ DX, R8; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX,R11; \ + \ + MOVQ 32+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R9; ADCQ $0, DX; MOVQ R9, 64+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 32+x,AX; ADDQ AX, DX; ADCQ $0, R11; MOVQ DX, R8; \ + ADDQ 32+x, CX; ADCQ $0, R15; \ + MOVQ 40+x, AX; MULQ CX; ADDQ AX, R10; ADCQ $0, DX; ADDQ R8, R10; ADCQ $0, DX; MOVQ DX, R8; MOVQ R10, 72+z; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; ADDQ R8, R11; ADCQ $0, DX; MOVQ DX,R12; \ + \ + XORL R13, R13; \ + XORL R14, R14; \ + MOVQ 40+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R11; ADCQ $0, DX; MOVQ R11, 80+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 40+x,AX; ADDQ AX, DX; ADCQ $0, R13; MOVQ DX, R8; \ + ADDQ 40+x, CX; ADCQ $0, R15; \ + MOVQ 48+x, AX; MULQ CX; ADDQ AX, R12; ADCQ $0, DX; ADDQ R8, R12; ADCQ $0, DX; MOVQ DX, R8; MOVQ R12, 88+z; \ + ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADDQ R8, R13; ADCQ $0,R14; \ + \ + XORL R9, R9; \ + MOVQ 48+x, CX; \ + MOVQ CX, AX; ADDQ R15, CX; MOVQ $0, R15; ADCQ $0, R15; \ + ;;;;;;;;;;;;;; MULQ CX; ADDQ AX, R13; ADCQ $0, DX; MOVQ R13, 96+z; \ + MOVQ R15, AX; NEGQ AX; ANDQ 48+x,AX; ADDQ AX, DX; ADCQ $0, R9; MOVQ DX, R8; \ + ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ADDQ R8,R14; ADCQ $0, R9; MOVQ R14, 104+z; + + +// integerSqrAdx squares x and stores in z +// Uses: AX, CX, DX, R8-R15, FLAGS +// Instr: x86_64, bmi2, adx +#define integerSqrAdx(z,x) \ + XORL R15, R15; \ + MOVQ 0+x, DX; \ + ;;;;;;;;;;;;;; MULXQ DX, AX, R8; MOVQ AX, 0+z; \ + ADDQ DX, DX; ADCQ $0, R15; CLC; \ + MULXQ 8+x, AX, R9; ADCXQ AX, R8; MOVQ R8, 8+z; \ + MULXQ 16+x, AX, R10; ADCXQ AX, R9; MOVQ $0, R8;\ + MULXQ 24+x, AX, R11; ADCXQ AX, R10; \ + MULXQ 32+x, AX, R12; ADCXQ AX, R11; \ + MULXQ 40+x, AX, R13; ADCXQ AX, R12; \ + MULXQ 48+x, AX, R14; ADCXQ AX, R13; \ + ;;;;;;;;;;;;;;;;;;;; ADCXQ R8, R14; \ + \ + MOVQ 8+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 8+x, R8; \ + ADDQ AX, R9; MOVQ R9, 16+z; \ + ADCQ CX, R8; \ + ADCQ $0, R11; \ + ADDQ 8+x, DX; \ + ADCQ $0, R15; \ + XORL R9, R9; ;;;;;;;;;;;;;;;;;;;;; ADOXQ R8, R10; \ + MULXQ 16+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; MOVQ R10, 24+z; \ + MULXQ 24+x, AX, CX; ADCXQ AX, R11; ADOXQ CX, R12; MOVQ $0, R10; \ + MULXQ 32+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R13; ADOXQ CX, R14; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R10, R9; \ + \ + MOVQ 16+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 16+x, R8; \ + ADDQ AX, R11; MOVQ R11, 32+z; \ + ADCQ CX, R8; \ + ADCQ $0, R13; \ + ADDQ 16+x, DX; \ + ADCQ $0, R15; \ + XORL R11, R11; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R12; \ + MULXQ 24+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; MOVQ R12, 40+z; \ + MULXQ 32+x, AX, CX; ADCXQ AX, R13; ADOXQ CX, R14; MOVQ $0, R12; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R9; ADOXQ CX, R10; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R11,R10; \ + \ + MOVQ 24+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 24+x, R8; \ + ADDQ AX, R13; MOVQ R13, 48+z; \ + ADCQ CX, R8; \ + ADCQ $0, R9; \ + ADDQ 24+x, DX; \ + ADCQ $0, R15; \ + XORL R13, R13; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R14; \ + MULXQ 32+x, AX, CX; ADCXQ AX, R14; ADOXQ CX, R9; MOVQ R14, 56+z; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R9; ADOXQ CX, R10; MOVQ $0, R14; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R12,R11; \ + \ + MOVQ 32+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 32+x, R8; \ + ADDQ AX, R9; MOVQ R9, 64+z; \ + ADCQ CX, R8; \ + ADCQ $0, R11; \ + ADDQ 32+x, DX; \ + ADCQ $0, R15; \ + XORL R9, R9; ;;;;;;;;;;;;;;;;;;;;; ADOXQ R8, R10; \ + MULXQ 40+x, AX, CX; ADCXQ AX, R10; ADOXQ CX, R11; MOVQ R10, 72+z; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R11; ADOXQ CX, R12; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R13,R12; \ + \ + MOVQ 40+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 40+x, R8; \ + ADDQ AX, R11; MOVQ R11, 80+z; \ + ADCQ CX, R8; \ + ADCQ $0, R13; \ + ADDQ 40+x, DX; \ + ADCQ $0, R15; \ + XORL R11, R11; ;;;;;;;;;;;;;;;;;;; ADOXQ R8, R12; \ + MULXQ 48+x, AX, CX; ADCXQ AX, R12; ADOXQ CX, R13; MOVQ R12, 88+z; \ + ;;;;;;;;;;;;;;;;;;; ADCXQ R14,R13; \ + \ + MOVQ 48+x, DX; \ + MOVQ DX, AX; ADDQ R15, DX; MOVQ $0, R15; ADCQ $0, R15; \ + MULXQ AX, AX, CX; \ + MOVQ R15, R8; NEGQ R8; ANDQ 48+x, R8; \ + XORL R10, R10; ;;;;;;;;;;;;;; ADOXQ CX, R14; \ + ;;;;;;;;;;;;;; ADCXQ AX, R13; ;;;;;;;;;;;;;; MOVQ R13, 96+z; \ + ;;;;;;;;;;;;;; ADCXQ R8, R14; MOVQ R14, 104+z; + +// reduceFromDoubleLeg finds a z=x modulo p such that z<2^448 and stores in z +// Uses: AX, R8-R15, FLAGS +// Instr: x86_64 +#define reduceFromDoubleLeg(z,x) \ + /* ( ,2C13,2C12,2C11,2C10|C10,C9,C8, C7) + (C6,...,C0) */ \ + /* (r14, r13, r12, r11, r10,r9,r8,r15) */ \ + MOVQ 80+x,AX; MOVQ AX,R10; \ + MOVQ $0xFFFFFFFF00000000, R8; \ + ANDQ R8,R10; \ + \ + MOVQ $0,R14; \ + MOVQ 104+x,R13; SHLQ $1,R13,R14; \ + MOVQ 96+x,R12; SHLQ $1,R12,R13; \ + MOVQ 88+x,R11; SHLQ $1,R11,R12; \ + MOVQ 72+x, R9; SHLQ $1,R10,R11; \ + MOVQ 64+x, R8; SHLQ $1,R10; \ + MOVQ $0xFFFFFFFF,R15; ANDQ R15,AX; ORQ AX,R10; \ + MOVQ 56+x,R15; \ + \ + ADDQ 0+x,R15; MOVQ R15, 0+z; MOVQ 56+x,R15; \ + ADCQ 8+x, R8; MOVQ R8, 8+z; MOVQ 64+x, R8; \ + ADCQ 16+x, R9; MOVQ R9,16+z; MOVQ 72+x, R9; \ + ADCQ 24+x,R10; MOVQ R10,24+z; MOVQ 80+x,R10; \ + ADCQ 32+x,R11; MOVQ R11,32+z; MOVQ 88+x,R11; \ + ADCQ 40+x,R12; MOVQ R12,40+z; MOVQ 96+x,R12; \ + ADCQ 48+x,R13; MOVQ R13,48+z; MOVQ 104+x,R13; \ + ADCQ $0,R14; \ + /* (c10c9,c9c8,c8c7,c7c13,c13c12,c12c11,c11c10) + (c6,...,c0) */ \ + /* ( r9, r8, r15, r13, r12, r11, r10) */ \ + MOVQ R10, AX; \ + SHRQ $32,R11,R10; \ + SHRQ $32,R12,R11; \ + SHRQ $32,R13,R12; \ + SHRQ $32,R15,R13; \ + SHRQ $32, R8,R15; \ + SHRQ $32, R9, R8; \ + SHRQ $32, AX, R9; \ + \ + ADDQ 0+z,R10; \ + ADCQ 8+z,R11; \ + ADCQ 16+z,R12; \ + ADCQ 24+z,R13; \ + ADCQ 32+z,R15; \ + ADCQ 40+z, R8; \ + ADCQ 48+z, R9; \ + ADCQ $0,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32, AX; \ + ADDQ R14,R10; MOVQ $0,R14; \ + ADCQ $0,R11; \ + ADCQ $0,R12; \ + ADCQ AX,R13; \ + ADCQ $0,R15; \ + ADCQ $0, R8; \ + ADCQ $0, R9; \ + ADCQ $0,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32,AX; \ + ADDQ R14,R10; MOVQ R10, 0+z; \ + ADCQ $0,R11; MOVQ R11, 8+z; \ + ADCQ $0,R12; MOVQ R12,16+z; \ + ADCQ AX,R13; MOVQ R13,24+z; \ + ADCQ $0,R15; MOVQ R15,32+z; \ + ADCQ $0, R8; MOVQ R8,40+z; \ + ADCQ $0, R9; MOVQ R9,48+z; + +// reduceFromDoubleAdx finds a z=x modulo p such that z<2^448 and stores in z +// Uses: AX, R8-R15, FLAGS +// Instr: x86_64, adx +#define reduceFromDoubleAdx(z,x) \ + /* ( ,2C13,2C12,2C11,2C10|C10,C9,C8, C7) + (C6,...,C0) */ \ + /* (r14, r13, r12, r11, r10,r9,r8,r15) */ \ + MOVQ 80+x,AX; MOVQ AX,R10; \ + MOVQ $0xFFFFFFFF00000000, R8; \ + ANDQ R8,R10; \ + \ + MOVQ $0,R14; \ + MOVQ 104+x,R13; SHLQ $1,R13,R14; \ + MOVQ 96+x,R12; SHLQ $1,R12,R13; \ + MOVQ 88+x,R11; SHLQ $1,R11,R12; \ + MOVQ 72+x, R9; SHLQ $1,R10,R11; \ + MOVQ 64+x, R8; SHLQ $1,R10; \ + MOVQ $0xFFFFFFFF,R15; ANDQ R15,AX; ORQ AX,R10; \ + MOVQ 56+x,R15; \ + \ + XORL AX,AX; \ + ADCXQ 0+x,R15; MOVQ R15, 0+z; MOVQ 56+x,R15; \ + ADCXQ 8+x, R8; MOVQ R8, 8+z; MOVQ 64+x, R8; \ + ADCXQ 16+x, R9; MOVQ R9,16+z; MOVQ 72+x, R9; \ + ADCXQ 24+x,R10; MOVQ R10,24+z; MOVQ 80+x,R10; \ + ADCXQ 32+x,R11; MOVQ R11,32+z; MOVQ 88+x,R11; \ + ADCXQ 40+x,R12; MOVQ R12,40+z; MOVQ 96+x,R12; \ + ADCXQ 48+x,R13; MOVQ R13,48+z; MOVQ 104+x,R13; \ + ADCXQ AX,R14; \ + /* (c10c9,c9c8,c8c7,c7c13,c13c12,c12c11,c11c10) + (c6,...,c0) */ \ + /* ( r9, r8, r15, r13, r12, r11, r10) */ \ + MOVQ R10, AX; \ + SHRQ $32,R11,R10; \ + SHRQ $32,R12,R11; \ + SHRQ $32,R13,R12; \ + SHRQ $32,R15,R13; \ + SHRQ $32, R8,R15; \ + SHRQ $32, R9, R8; \ + SHRQ $32, AX, R9; \ + \ + XORL AX,AX; \ + ADCXQ 0+z,R10; \ + ADCXQ 8+z,R11; \ + ADCXQ 16+z,R12; \ + ADCXQ 24+z,R13; \ + ADCXQ 32+z,R15; \ + ADCXQ 40+z, R8; \ + ADCXQ 48+z, R9; \ + ADCXQ AX,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32, AX; \ + CLC; \ + ADCXQ R14,R10; MOVQ $0,R14; \ + ADCXQ R14,R11; \ + ADCXQ R14,R12; \ + ADCXQ AX,R13; \ + ADCXQ R14,R15; \ + ADCXQ R14, R8; \ + ADCXQ R14, R9; \ + ADCXQ R14,R14; \ + /* ( c7) + (c6,...,c0) */ \ + /* (r14) */ \ + MOVQ R14, AX; SHLQ $32, AX; \ + CLC; \ + ADCXQ R14,R10; MOVQ R10, 0+z; MOVQ $0,R14; \ + ADCXQ R14,R11; MOVQ R11, 8+z; \ + ADCXQ R14,R12; MOVQ R12,16+z; \ + ADCXQ AX,R13; MOVQ R13,24+z; \ + ADCXQ R14,R15; MOVQ R15,32+z; \ + ADCXQ R14, R8; MOVQ R8,40+z; \ + ADCXQ R14, R9; MOVQ R9,48+z; + +// addSub calculates two operations: x,y = x+y,x-y +// Uses: AX, DX, R8-R15, FLAGS +#define addSub(x,y) \ + MOVQ 0+x, R8; ADDQ 0+y, R8; \ + MOVQ 8+x, R9; ADCQ 8+y, R9; \ + MOVQ 16+x, R10; ADCQ 16+y, R10; \ + MOVQ 24+x, R11; ADCQ 24+y, R11; \ + MOVQ 32+x, R12; ADCQ 32+y, R12; \ + MOVQ 40+x, R13; ADCQ 40+y, R13; \ + MOVQ 48+x, R14; ADCQ 48+y, R14; \ + MOVQ $0, AX; ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ $0, AX; \ + ADCQ $0, R9; \ + ADCQ $0, R10; \ + ADCQ DX, R11; \ + ADCQ $0, R12; \ + ADCQ $0, R13; \ + ADCQ $0, R14; \ + ADCQ $0, AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + ADDQ AX, R8; MOVQ 0+x,AX; MOVQ R8, 0+x; MOVQ AX, R8; \ + ADCQ $0, R9; MOVQ 8+x,AX; MOVQ R9, 8+x; MOVQ AX, R9; \ + ADCQ $0, R10; MOVQ 16+x,AX; MOVQ R10, 16+x; MOVQ AX, R10; \ + ADCQ DX, R11; MOVQ 24+x,AX; MOVQ R11, 24+x; MOVQ AX, R11; \ + ADCQ $0, R12; MOVQ 32+x,AX; MOVQ R12, 32+x; MOVQ AX, R12; \ + ADCQ $0, R13; MOVQ 40+x,AX; MOVQ R13, 40+x; MOVQ AX, R13; \ + ADCQ $0, R14; MOVQ 48+x,AX; MOVQ R14, 48+x; MOVQ AX, R14; \ + SUBQ 0+y, R8; \ + SBBQ 8+y, R9; \ + SBBQ 16+y, R10; \ + SBBQ 24+y, R11; \ + SBBQ 32+y, R12; \ + SBBQ 40+y, R13; \ + SBBQ 48+y, R14; \ + MOVQ $0, AX; SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ $0, AX; \ + SBBQ $0, R9; \ + SBBQ $0, R10; \ + SBBQ DX, R11; \ + SBBQ $0, R12; \ + SBBQ $0, R13; \ + SBBQ $0, R14; \ + SETCS AX; \ + MOVQ AX, DX; \ + SHLQ $32, DX; \ + SUBQ AX, R8; MOVQ R8, 0+y; \ + SBBQ $0, R9; MOVQ R9, 8+y; \ + SBBQ $0, R10; MOVQ R10, 16+y; \ + SBBQ DX, R11; MOVQ R11, 24+y; \ + SBBQ $0, R12; MOVQ R12, 32+y; \ + SBBQ $0, R13; MOVQ R13, 40+y; \ + SBBQ $0, R14; MOVQ R14, 48+y; diff --git a/src/circl/math/fp448/fp_amd64.s b/src/circl/math/fp448/fp_amd64.s new file mode 100644 index 00000000000..435addf5e6c --- /dev/null +++ b/src/circl/math/fp448/fp_amd64.s @@ -0,0 +1,74 @@ +// +build amd64 + +#include "textflag.h" +#include "fp_amd64.h" + +// func cmovAmd64(x, y *Elt, n uint) +TEXT ·cmovAmd64(SB),NOSPLIT,$0-24 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + MOVQ n+16(FP), BX + cselect(0(DI),0(SI),BX) + RET + +// func cswapAmd64(x, y *Elt, n uint) +TEXT ·cswapAmd64(SB),NOSPLIT,$0-24 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + MOVQ n+16(FP), BX + cswap(0(DI),0(SI),BX) + RET + +// func subAmd64(z, x, y *Elt) +TEXT ·subAmd64(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + MOVQ y+16(FP), BX + subtraction(0(DI),0(SI),0(BX)) + RET + +// func addsubAmd64(x, y *Elt) +TEXT ·addsubAmd64(SB),NOSPLIT,$0-16 + MOVQ x+0(FP), DI + MOVQ y+8(FP), SI + addSub(0(DI),0(SI)) + RET + +#define addLegacy \ + additionLeg(0(DI),0(SI),0(BX)) +#define addBmi2Adx \ + additionAdx(0(DI),0(SI),0(BX)) + +#define mulLegacy \ + integerMulLeg(0(SP),0(SI),0(BX)) \ + reduceFromDoubleLeg(0(DI),0(SP)) +#define mulBmi2Adx \ + integerMulAdx(0(SP),0(SI),0(BX)) \ + reduceFromDoubleAdx(0(DI),0(SP)) + +#define sqrLegacy \ + integerSqrLeg(0(SP),0(SI)) \ + reduceFromDoubleLeg(0(DI),0(SP)) +#define sqrBmi2Adx \ + integerSqrAdx(0(SP),0(SI)) \ + reduceFromDoubleAdx(0(DI),0(SP)) + +// func addAmd64(z, x, y *Elt) +TEXT ·addAmd64(SB),NOSPLIT,$0-24 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + MOVQ y+16(FP), BX + CHECK_BMI2ADX(LADD, addLegacy, addBmi2Adx) + +// func mulAmd64(z, x, y *Elt) +TEXT ·mulAmd64(SB),NOSPLIT,$112-24 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + MOVQ y+16(FP), BX + CHECK_BMI2ADX(LMUL, mulLegacy, mulBmi2Adx) + +// func sqrAmd64(z, x *Elt) +TEXT ·sqrAmd64(SB),NOSPLIT,$112-16 + MOVQ z+0(FP), DI + MOVQ x+8(FP), SI + CHECK_BMI2ADX(LSQR, sqrLegacy, sqrBmi2Adx) diff --git a/src/circl/math/fp448/fp_generic.go b/src/circl/math/fp448/fp_generic.go new file mode 100644 index 00000000000..47a0b63205f --- /dev/null +++ b/src/circl/math/fp448/fp_generic.go @@ -0,0 +1,339 @@ +package fp448 + +import ( + "encoding/binary" + "math/bits" +) + +func cmovGeneric(x, y *Elt, n uint) { + m := -uint64(n & 0x1) + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + x0 = (x0 &^ m) | (y0 & m) + x1 = (x1 &^ m) | (y1 & m) + x2 = (x2 &^ m) | (y2 & m) + x3 = (x3 &^ m) | (y3 & m) + x4 = (x4 &^ m) | (y4 & m) + x5 = (x5 &^ m) | (y5 & m) + x6 = (x6 &^ m) | (y6 & m) + + binary.LittleEndian.PutUint64(x[0*8:1*8], x0) + binary.LittleEndian.PutUint64(x[1*8:2*8], x1) + binary.LittleEndian.PutUint64(x[2*8:3*8], x2) + binary.LittleEndian.PutUint64(x[3*8:4*8], x3) + binary.LittleEndian.PutUint64(x[4*8:5*8], x4) + binary.LittleEndian.PutUint64(x[5*8:6*8], x5) + binary.LittleEndian.PutUint64(x[6*8:7*8], x6) +} + +func cswapGeneric(x, y *Elt, n uint) { + m := -uint64(n & 0x1) + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + t0 := m & (x0 ^ y0) + t1 := m & (x1 ^ y1) + t2 := m & (x2 ^ y2) + t3 := m & (x3 ^ y3) + t4 := m & (x4 ^ y4) + t5 := m & (x5 ^ y5) + t6 := m & (x6 ^ y6) + x0 ^= t0 + x1 ^= t1 + x2 ^= t2 + x3 ^= t3 + x4 ^= t4 + x5 ^= t5 + x6 ^= t6 + y0 ^= t0 + y1 ^= t1 + y2 ^= t2 + y3 ^= t3 + y4 ^= t4 + y5 ^= t5 + y6 ^= t6 + + binary.LittleEndian.PutUint64(x[0*8:1*8], x0) + binary.LittleEndian.PutUint64(x[1*8:2*8], x1) + binary.LittleEndian.PutUint64(x[2*8:3*8], x2) + binary.LittleEndian.PutUint64(x[3*8:4*8], x3) + binary.LittleEndian.PutUint64(x[4*8:5*8], x4) + binary.LittleEndian.PutUint64(x[5*8:6*8], x5) + binary.LittleEndian.PutUint64(x[6*8:7*8], x6) + + binary.LittleEndian.PutUint64(y[0*8:1*8], y0) + binary.LittleEndian.PutUint64(y[1*8:2*8], y1) + binary.LittleEndian.PutUint64(y[2*8:3*8], y2) + binary.LittleEndian.PutUint64(y[3*8:4*8], y3) + binary.LittleEndian.PutUint64(y[4*8:5*8], y4) + binary.LittleEndian.PutUint64(y[5*8:6*8], y5) + binary.LittleEndian.PutUint64(y[6*8:7*8], y6) +} + +func addGeneric(z, x, y *Elt) { + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + z0, c0 := bits.Add64(x0, y0, 0) + z1, c1 := bits.Add64(x1, y1, c0) + z2, c2 := bits.Add64(x2, y2, c1) + z3, c3 := bits.Add64(x3, y3, c2) + z4, c4 := bits.Add64(x4, y4, c3) + z5, c5 := bits.Add64(x5, y5, c4) + z6, z7 := bits.Add64(x6, y6, c5) + + z0, c0 = bits.Add64(z0, z7, 0) + z1, c1 = bits.Add64(z1, 0, c0) + z2, c2 = bits.Add64(z2, 0, c1) + z3, c3 = bits.Add64(z3, z7<<32, c2) + z4, c4 = bits.Add64(z4, 0, c3) + z5, c5 = bits.Add64(z5, 0, c4) + z6, z7 = bits.Add64(z6, 0, c5) + + z0, c0 = bits.Add64(z0, z7, 0) + z1, c1 = bits.Add64(z1, 0, c0) + z2, c2 = bits.Add64(z2, 0, c1) + z3, c3 = bits.Add64(z3, z7<<32, c2) + z4, c4 = bits.Add64(z4, 0, c3) + z5, c5 = bits.Add64(z5, 0, c4) + z6, _ = bits.Add64(z6, 0, c5) + + binary.LittleEndian.PutUint64(z[0*8:1*8], z0) + binary.LittleEndian.PutUint64(z[1*8:2*8], z1) + binary.LittleEndian.PutUint64(z[2*8:3*8], z2) + binary.LittleEndian.PutUint64(z[3*8:4*8], z3) + binary.LittleEndian.PutUint64(z[4*8:5*8], z4) + binary.LittleEndian.PutUint64(z[5*8:6*8], z5) + binary.LittleEndian.PutUint64(z[6*8:7*8], z6) +} + +func subGeneric(z, x, y *Elt) { + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + z0, c0 := bits.Sub64(x0, y0, 0) + z1, c1 := bits.Sub64(x1, y1, c0) + z2, c2 := bits.Sub64(x2, y2, c1) + z3, c3 := bits.Sub64(x3, y3, c2) + z4, c4 := bits.Sub64(x4, y4, c3) + z5, c5 := bits.Sub64(x5, y5, c4) + z6, z7 := bits.Sub64(x6, y6, c5) + + z0, c0 = bits.Sub64(z0, z7, 0) + z1, c1 = bits.Sub64(z1, 0, c0) + z2, c2 = bits.Sub64(z2, 0, c1) + z3, c3 = bits.Sub64(z3, z7<<32, c2) + z4, c4 = bits.Sub64(z4, 0, c3) + z5, c5 = bits.Sub64(z5, 0, c4) + z6, z7 = bits.Sub64(z6, 0, c5) + + z0, c0 = bits.Sub64(z0, z7, 0) + z1, c1 = bits.Sub64(z1, 0, c0) + z2, c2 = bits.Sub64(z2, 0, c1) + z3, c3 = bits.Sub64(z3, z7<<32, c2) + z4, c4 = bits.Sub64(z4, 0, c3) + z5, c5 = bits.Sub64(z5, 0, c4) + z6, _ = bits.Sub64(z6, 0, c5) + + binary.LittleEndian.PutUint64(z[0*8:1*8], z0) + binary.LittleEndian.PutUint64(z[1*8:2*8], z1) + binary.LittleEndian.PutUint64(z[2*8:3*8], z2) + binary.LittleEndian.PutUint64(z[3*8:4*8], z3) + binary.LittleEndian.PutUint64(z[4*8:5*8], z4) + binary.LittleEndian.PutUint64(z[5*8:6*8], z5) + binary.LittleEndian.PutUint64(z[6*8:7*8], z6) +} + +func addsubGeneric(x, y *Elt) { + z := &Elt{} + addGeneric(z, x, y) + subGeneric(y, x, y) + *x = *z +} + +func mulGeneric(z, x, y *Elt) { + x0 := binary.LittleEndian.Uint64(x[0*8 : 1*8]) + x1 := binary.LittleEndian.Uint64(x[1*8 : 2*8]) + x2 := binary.LittleEndian.Uint64(x[2*8 : 3*8]) + x3 := binary.LittleEndian.Uint64(x[3*8 : 4*8]) + x4 := binary.LittleEndian.Uint64(x[4*8 : 5*8]) + x5 := binary.LittleEndian.Uint64(x[5*8 : 6*8]) + x6 := binary.LittleEndian.Uint64(x[6*8 : 7*8]) + + y0 := binary.LittleEndian.Uint64(y[0*8 : 1*8]) + y1 := binary.LittleEndian.Uint64(y[1*8 : 2*8]) + y2 := binary.LittleEndian.Uint64(y[2*8 : 3*8]) + y3 := binary.LittleEndian.Uint64(y[3*8 : 4*8]) + y4 := binary.LittleEndian.Uint64(y[4*8 : 5*8]) + y5 := binary.LittleEndian.Uint64(y[5*8 : 6*8]) + y6 := binary.LittleEndian.Uint64(y[6*8 : 7*8]) + + yy := [7]uint64{y0, y1, y2, y3, y4, y5, y6} + zz := [7]uint64{} + + yi := yy[0] + h0, l0 := bits.Mul64(x0, yi) + h1, l1 := bits.Mul64(x1, yi) + h2, l2 := bits.Mul64(x2, yi) + h3, l3 := bits.Mul64(x3, yi) + h4, l4 := bits.Mul64(x4, yi) + h5, l5 := bits.Mul64(x5, yi) + h6, l6 := bits.Mul64(x6, yi) + + zz[0] = l0 + a0, c0 := bits.Add64(h0, l1, 0) + a1, c1 := bits.Add64(h1, l2, c0) + a2, c2 := bits.Add64(h2, l3, c1) + a3, c3 := bits.Add64(h3, l4, c2) + a4, c4 := bits.Add64(h4, l5, c3) + a5, c5 := bits.Add64(h5, l6, c4) + a6, _ := bits.Add64(h6, 0, c5) + + for i := 1; i < 7; i++ { + yi = yy[i] + h0, l0 = bits.Mul64(x0, yi) + h1, l1 = bits.Mul64(x1, yi) + h2, l2 = bits.Mul64(x2, yi) + h3, l3 = bits.Mul64(x3, yi) + h4, l4 = bits.Mul64(x4, yi) + h5, l5 = bits.Mul64(x5, yi) + h6, l6 = bits.Mul64(x6, yi) + + zz[i], c0 = bits.Add64(a0, l0, 0) + a0, c1 = bits.Add64(a1, l1, c0) + a1, c2 = bits.Add64(a2, l2, c1) + a2, c3 = bits.Add64(a3, l3, c2) + a3, c4 = bits.Add64(a4, l4, c3) + a4, c5 = bits.Add64(a5, l5, c4) + a5, a6 = bits.Add64(a6, l6, c5) + + a0, c0 = bits.Add64(a0, h0, 0) + a1, c1 = bits.Add64(a1, h1, c0) + a2, c2 = bits.Add64(a2, h2, c1) + a3, c3 = bits.Add64(a3, h3, c2) + a4, c4 = bits.Add64(a4, h4, c3) + a5, c5 = bits.Add64(a5, h5, c4) + a6, _ = bits.Add64(a6, h6, c5) + } + red64(z, &zz, &[7]uint64{a0, a1, a2, a3, a4, a5, a6}) +} + +func sqrGeneric(z, x *Elt) { mulGeneric(z, x, x) } + +func red64(z *Elt, l, h *[7]uint64) { + /* (2C13, 2C12, 2C11, 2C10|C10, C9, C8, C7) + (C6,...,C0) */ + h0 := h[0] + h1 := h[1] + h2 := h[2] + h3 := ((h[3] & (0xFFFFFFFF << 32)) << 1) | (h[3] & 0xFFFFFFFF) + h4 := (h[3] >> 63) | (h[4] << 1) + h5 := (h[4] >> 63) | (h[5] << 1) + h6 := (h[5] >> 63) | (h[6] << 1) + h7 := (h[6] >> 63) + + l0, c0 := bits.Add64(h0, l[0], 0) + l1, c1 := bits.Add64(h1, l[1], c0) + l2, c2 := bits.Add64(h2, l[2], c1) + l3, c3 := bits.Add64(h3, l[3], c2) + l4, c4 := bits.Add64(h4, l[4], c3) + l5, c5 := bits.Add64(h5, l[5], c4) + l6, c6 := bits.Add64(h6, l[6], c5) + l7, _ := bits.Add64(h7, 0, c6) + + /* (C10C9, C9C8,C8C7,C7C13,C13C12,C12C11,C11C10) + (C6,...,C0) */ + h0 = (h[3] >> 32) | (h[4] << 32) + h1 = (h[4] >> 32) | (h[5] << 32) + h2 = (h[5] >> 32) | (h[6] << 32) + h3 = (h[6] >> 32) | (h[0] << 32) + h4 = (h[0] >> 32) | (h[1] << 32) + h5 = (h[1] >> 32) | (h[2] << 32) + h6 = (h[2] >> 32) | (h[3] << 32) + + l0, c0 = bits.Add64(l0, h0, 0) + l1, c1 = bits.Add64(l1, h1, c0) + l2, c2 = bits.Add64(l2, h2, c1) + l3, c3 = bits.Add64(l3, h3, c2) + l4, c4 = bits.Add64(l4, h4, c3) + l5, c5 = bits.Add64(l5, h5, c4) + l6, c6 = bits.Add64(l6, h6, c5) + l7, _ = bits.Add64(l7, 0, c6) + + /* (C7) + (C6,...,C0) */ + l0, c0 = bits.Add64(l0, l7, 0) + l1, c1 = bits.Add64(l1, 0, c0) + l2, c2 = bits.Add64(l2, 0, c1) + l3, c3 = bits.Add64(l3, l7<<32, c2) + l4, c4 = bits.Add64(l4, 0, c3) + l5, c5 = bits.Add64(l5, 0, c4) + l6, l7 = bits.Add64(l6, 0, c5) + + /* (C7) + (C6,...,C0) */ + l0, c0 = bits.Add64(l0, l7, 0) + l1, c1 = bits.Add64(l1, 0, c0) + l2, c2 = bits.Add64(l2, 0, c1) + l3, c3 = bits.Add64(l3, l7<<32, c2) + l4, c4 = bits.Add64(l4, 0, c3) + l5, c5 = bits.Add64(l5, 0, c4) + l6, _ = bits.Add64(l6, 0, c5) + + binary.LittleEndian.PutUint64(z[0*8:1*8], l0) + binary.LittleEndian.PutUint64(z[1*8:2*8], l1) + binary.LittleEndian.PutUint64(z[2*8:3*8], l2) + binary.LittleEndian.PutUint64(z[3*8:4*8], l3) + binary.LittleEndian.PutUint64(z[4*8:5*8], l4) + binary.LittleEndian.PutUint64(z[5*8:6*8], l5) + binary.LittleEndian.PutUint64(z[6*8:7*8], l6) +} diff --git a/src/circl/math/fp448/fp_noasm.go b/src/circl/math/fp448/fp_noasm.go new file mode 100644 index 00000000000..efde50a665c --- /dev/null +++ b/src/circl/math/fp448/fp_noasm.go @@ -0,0 +1,11 @@ +// +build !amd64 purego + +package fp448 + +func cmov(x, y *Elt, n uint) { cmovGeneric(x, y, n) } +func cswap(x, y *Elt, n uint) { cswapGeneric(x, y, n) } +func add(z, x, y *Elt) { addGeneric(z, x, y) } +func sub(z, x, y *Elt) { subGeneric(z, x, y) } +func addsub(x, y *Elt) { addsubGeneric(x, y) } +func mul(z, x, y *Elt) { mulGeneric(z, x, y) } +func sqr(z, x *Elt) { sqrGeneric(z, x) } diff --git a/src/circl/math/fp448/fp_test.go b/src/circl/math/fp448/fp_test.go new file mode 100644 index 00000000000..e0fd3693f57 --- /dev/null +++ b/src/circl/math/fp448/fp_test.go @@ -0,0 +1,393 @@ +package fp448 + +import ( + "crypto/rand" + "fmt" + "math/big" + "testing" + + "circl/internal/conv" + "circl/internal/test" +) + +func testCmov(t *testing.T, f func(x, y *Elt, n uint)) { + const numTests = 1 << 9 + var x, y Elt + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + b := uint(y[0] & 0x1) + want := conv.BytesLe2BigInt(x[:]) + if b != 0 { + want = conv.BytesLe2BigInt(y[:]) + } + + f(&x, &y, b) + got := conv.BytesLe2BigInt(x[:]) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y, b) + } + } +} + +func testCswap(t *testing.T, f func(x, y *Elt, n uint)) { + const numTests = 1 << 9 + var x, y Elt + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + b := uint(y[0] & 0x1) + want0 := conv.BytesLe2BigInt(x[:]) + want1 := conv.BytesLe2BigInt(y[:]) + if b != 0 { + want0 = conv.BytesLe2BigInt(y[:]) + want1 = conv.BytesLe2BigInt(x[:]) + } + + f(&x, &y, b) + got0 := conv.BytesLe2BigInt(x[:]) + got1 := conv.BytesLe2BigInt(y[:]) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, y, b) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, y, b) + } + } +} + +func testAdd(t *testing.T, f func(z, x, y *Elt)) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + f(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want := xx.Add(xx, yy).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testSub(t *testing.T, f func(z, x, y *Elt)) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + f(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want := xx.Sub(xx, yy).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testAddSub(t *testing.T, f func(x, y *Elt)) { + const numTests = 1 << 9 + var x, y Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + want0, want1 := big.NewInt(0), big.NewInt(0) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want0.Add(xx, yy).Mod(want0, p) + want1.Sub(xx, yy).Mod(want1, p) + + f(&x, &y) + Modp(&x) + Modp(&y) + got0 := conv.BytesLe2BigInt(x[:]) + got1 := conv.BytesLe2BigInt(y[:]) + + if got0.Cmp(want0) != 0 { + test.ReportError(t, got0, want0, x, y) + } + if got1.Cmp(want1) != 0 { + test.ReportError(t, got1, want1, x, y) + } + } +} + +func testMul(t *testing.T, f func(z, x, y *Elt)) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + f(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx, yy := conv.BytesLe2BigInt(x[:]), conv.BytesLe2BigInt(y[:]) + want := xx.Mul(xx, yy).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } +} + +func testSqr(t *testing.T, f func(z, x *Elt)) { + const numTests = 1 << 9 + var x, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + f(&z, &x) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx := conv.BytesLe2BigInt(x[:]) + want := xx.Mul(xx, xx).Mod(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestModp(t *testing.T) { + const numTests = 1 << 9 + var x Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + two256 := big.NewInt(1) + two256.Lsh(two256, 256) + want := new(big.Int) + for i := 0; i < numTests; i++ { + bigX, _ := rand.Int(rand.Reader, two256) + bigX.Add(bigX, p).Mod(bigX, two256) + conv.BigInt2BytesLe(x[:], bigX) + + Modp(&x) + got := conv.BytesLe2BigInt(x[:]) + + want.Mod(bigX, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, bigX) + } + } +} + +func TestIsZero(t *testing.T) { + var x Elt + got := IsZero(&x) + want := true + if got != want { + test.ReportError(t, got, want, x) + } + + SetOne(&x) + got = IsZero(&x) + want = false + if got != want { + test.ReportError(t, got, want, x) + } + + x = P() + got = IsZero(&x) + want = true + if got != want { + test.ReportError(t, got, want, x) + } +} + +func TestToBytes(t *testing.T) { + const numTests = 1 << 9 + var x Elt + var got, want [Size]byte + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + err := ToBytes(got[:], &x) + conv.BigInt2BytesLe(want[:], conv.BytesLe2BigInt(x[:])) + + if err != nil || got != want { + test.ReportError(t, got, want, x) + } + } + var largeSlice [Size + 1]byte + err := ToBytes(largeSlice[:], &x) + if err == nil { + test.ReportError(t, got, want, largeSlice) + } +} + +func TestString(t *testing.T) { + const numTests = 1 << 9 + var x Elt + var bigX big.Int + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + got, _ := bigX.SetString(fmt.Sprint(x), 0) + want := conv.BytesLe2BigInt(x[:]) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestNeg(t *testing.T) { + const numTests = 1 << 9 + var x, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + Neg(&z, &x) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + bigX := conv.BytesLe2BigInt(x[:]) + want := bigX.Neg(bigX).Mod(bigX, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, bigX) + } + } +} + +func TestInv(t *testing.T) { + const numTests = 1 << 9 + var x, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + Inv(&z, &x) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx := conv.BytesLe2BigInt(x[:]) + want := xx.ModInverse(xx, p) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } +} + +func TestInvSqrt(t *testing.T) { + const numTests = 1 << 9 + var x, y, z Elt + prime := P() + p := conv.BytesLe2BigInt(prime[:]) + exp := big.NewInt(1) + exp.Add(p, exp).Rsh(exp, 2) + var frac, root, sqRoot big.Int + var wantQR bool + var want *big.Int + for i := 0; i < numTests; i++ { + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + + gotQR := InvSqrt(&z, &x, &y) + Modp(&z) + got := conv.BytesLe2BigInt(z[:]) + + xx := conv.BytesLe2BigInt(x[:]) + yy := conv.BytesLe2BigInt(y[:]) + frac.ModInverse(yy, p).Mul(&frac, xx).Mod(&frac, p) + root.Exp(&frac, exp, p) + sqRoot.Mul(&root, &root).Mod(&sqRoot, p) + + if sqRoot.Cmp(&frac) == 0 { + want = &root + wantQR = true + } else { + want = big.NewInt(0) + wantQR = false + } + + if wantQR { + if gotQR != wantQR || got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, y) + } + } else { + if gotQR != wantQR { + test.ReportError(t, gotQR, wantQR, x, y) + } + } + } +} + +func TestGeneric(t *testing.T) { + t.Run("Cmov", func(t *testing.T) { testCmov(t, cmovGeneric) }) + t.Run("Cswap", func(t *testing.T) { testCswap(t, cswapGeneric) }) + t.Run("Add", func(t *testing.T) { testAdd(t, addGeneric) }) + t.Run("Sub", func(t *testing.T) { testSub(t, subGeneric) }) + t.Run("AddSub", func(t *testing.T) { testAddSub(t, addsubGeneric) }) + t.Run("Mul", func(t *testing.T) { testMul(t, mulGeneric) }) + t.Run("Sqr", func(t *testing.T) { testSqr(t, sqrGeneric) }) +} + +func TestNative(t *testing.T) { + t.Run("Cmov", func(t *testing.T) { testCmov(t, Cmov) }) + t.Run("Cswap", func(t *testing.T) { testCswap(t, Cswap) }) + t.Run("Add", func(t *testing.T) { testAdd(t, Add) }) + t.Run("Sub", func(t *testing.T) { testSub(t, Sub) }) + t.Run("AddSub", func(t *testing.T) { testAddSub(t, AddSub) }) + t.Run("Mul", func(t *testing.T) { testMul(t, Mul) }) + t.Run("Sqr", func(t *testing.T) { testSqr(t, Sqr) }) +} + +func BenchmarkFp(b *testing.B) { + var x, y, z Elt + _, _ = rand.Read(x[:]) + _, _ = rand.Read(y[:]) + _, _ = rand.Read(z[:]) + b.Run("Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Add(&x, &y, &z) + } + }) + b.Run("Sub", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Sub(&x, &y, &z) + } + }) + b.Run("Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Mul(&x, &y, &z) + } + }) + b.Run("Sqr", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Sqr(&x, &y) + } + }) + b.Run("Inv", func(b *testing.B) { + for i := 0; i < b.N; i++ { + Inv(&x, &y) + } + }) + b.Run("InvSqrt", func(b *testing.B) { + for i := 0; i < b.N; i++ { + _ = InvSqrt(&z, &x, &y) + } + }) +} diff --git a/src/circl/math/fp448/fuzzer.go b/src/circl/math/fp448/fuzzer.go new file mode 100644 index 00000000000..0ff6e788d47 --- /dev/null +++ b/src/circl/math/fp448/fuzzer.go @@ -0,0 +1,73 @@ +// +build gofuzz + +// How to run the fuzzer: +// $ go get -u github.com/dvyukov/go-fuzz/go-fuzz +// $ go get -u github.com/dvyukov/go-fuzz/go-fuzz-build +// $ go-fuzz-build -libfuzzer -func FuzzReduction -o lib.a +// $ clang -fsanitize=fuzzer lib.a -o fu.exe +// $ ./fu.exe +package fp448 + +import ( + "encoding/binary" + "fmt" + "math/big" + + "circl/internal/conv" +) + +// FuzzReduction is a fuzzer target for red64 function, which reduces t +// (112 bits) to a number t' (56 bits) congruent modulo p448. +func FuzzReduction(data []byte) int { + if len(data) != 2*Size { + return -1 + } + var got, want Elt + var lo, hi [7]uint64 + a := data[:Size] + b := data[Size:] + lo[0] = binary.LittleEndian.Uint64(a[0*8 : 1*8]) + lo[1] = binary.LittleEndian.Uint64(a[1*8 : 2*8]) + lo[2] = binary.LittleEndian.Uint64(a[2*8 : 3*8]) + lo[3] = binary.LittleEndian.Uint64(a[3*8 : 4*8]) + lo[4] = binary.LittleEndian.Uint64(a[4*8 : 5*8]) + lo[5] = binary.LittleEndian.Uint64(a[5*8 : 6*8]) + lo[6] = binary.LittleEndian.Uint64(a[6*8 : 7*8]) + + hi[0] = binary.LittleEndian.Uint64(b[0*8 : 1*8]) + hi[1] = binary.LittleEndian.Uint64(b[1*8 : 2*8]) + hi[2] = binary.LittleEndian.Uint64(b[2*8 : 3*8]) + hi[3] = binary.LittleEndian.Uint64(b[3*8 : 4*8]) + hi[4] = binary.LittleEndian.Uint64(b[4*8 : 5*8]) + hi[5] = binary.LittleEndian.Uint64(b[5*8 : 6*8]) + hi[6] = binary.LittleEndian.Uint64(b[6*8 : 7*8]) + + red64(&got, &lo, &hi) + + t := conv.BytesLe2BigInt(data[:2*Size]) + + two448 := big.NewInt(1) + two448.Lsh(two448, 448) // 2^448 + mask448 := big.NewInt(1) + mask448.Sub(two448, mask448) // 2^448-1 + two224plus1 := big.NewInt(1) + two224plus1.Lsh(two224plus1, 224) + two224plus1.Add(two224plus1, big.NewInt(1)) // 2^224+1 + + var loBig, hiBig big.Int + for t.Cmp(two448) >= 0 { + loBig.And(t, mask448) + hiBig.Rsh(t, 448) + t.Mul(&hiBig, two224plus1) + t.Add(t, &loBig) + } + conv.BigInt2BytesLe(want[:], t) + + if got != want { + fmt.Printf("in: %v\n", conv.BytesLe2BigInt(data[:2*Size])) + fmt.Printf("got: %v\n", got) + fmt.Printf("want: %v\n", want) + panic("error found") + } + return 1 +} diff --git a/src/circl/math/mlsbset/mlsbset.go b/src/circl/math/mlsbset/mlsbset.go new file mode 100644 index 00000000000..8af4f4b8c9f --- /dev/null +++ b/src/circl/math/mlsbset/mlsbset.go @@ -0,0 +1,122 @@ +// Package mlsbset provides a constant-time exponentiation method with precomputation. +// +// References: "Efficient and secure algorithms for GLV-based scalar +// multiplication and their implementation on GLV–GLS curves" by (Faz-Hernandez et al.) +// - https://doi.org/10.1007/s13389-014-0085-7 +// - https://eprint.iacr.org/2013/158 +package mlsbset + +import ( + "errors" + "fmt" + "math/big" + + "circl/internal/conv" +) + +// EltG is a group element. +type EltG interface{} + +// EltP is a precomputed group element. +type EltP interface{} + +// Group defines the operations required by MLSBSet exponentiation method. +type Group interface { + Identity() EltG // Returns the identity of the group. + Sqr(x EltG) // Calculates x = x^2. + Mul(x EltG, y EltP) // Calculates x = x*y. + NewEltP() EltP // Returns an arbitrary precomputed element. + ExtendedEltP() EltP // Returns the precomputed element x^(2^(w*d)). + Lookup(a EltP, v uint, s, u int32) // Sets a = s*T[v][u]. +} + +// Params contains the parameters of the encoding. +type Params struct { + T uint // T is the maximum size (in bits) of exponents. + V uint // V is the number of tables. + W uint // W is the window size. + E uint // E is the number of digits per table. + D uint // D is the number of digits in total. + L uint // L is the length of the code. +} + +// Encoder allows to convert integers into valid powers. +type Encoder struct{ p Params } + +// New produces an encoder of the MLSBSet algorithm. +func New(t, v, w uint) (Encoder, error) { + if !(t > 1 && v >= 1 && w >= 2) { + return Encoder{}, errors.New("t>1, v>=1, w>=2") + } + e := (t + w*v - 1) / (w * v) + d := e * v + l := d * w + return Encoder{Params{t, v, w, e, d, l}}, nil +} + +// Encode converts an odd integer k into a valid power for exponentiation. +func (m Encoder) Encode(k []byte) (*Power, error) { + if len(k) == 0 { + return nil, errors.New("empty slice") + } + if !(len(k) <= int(m.p.L+7)>>3) { + return nil, errors.New("k too big") + } + if k[0]%2 == 0 { + return nil, errors.New("k must be odd") + } + ap := int((m.p.L+7)/8) - len(k) + k = append(k, make([]byte, ap)...) + s := m.signs(k) + b := make([]int32, m.p.L-m.p.D) + c := conv.BytesLe2BigInt(k) + c.Rsh(c, m.p.D) + var bi big.Int + for i := m.p.D; i < m.p.L; i++ { + c0 := int32(c.Bit(0)) + b[i-m.p.D] = s[i%m.p.D] * c0 + bi.SetInt64(int64(b[i-m.p.D] >> 1)) + c.Rsh(c, 1) + c.Sub(c, &bi) + } + carry := int(c.Int64()) + return &Power{m, s, b, carry}, nil +} + +// signs calculates the set of signs. +func (m Encoder) signs(k []byte) []int32 { + s := make([]int32, m.p.D) + s[m.p.D-1] = 1 + for i := uint(1); i < m.p.D; i++ { + ki := int32((k[i>>3] >> (i & 0x7)) & 0x1) + s[i-1] = 2*ki - 1 + } + return s +} + +// GetParams returns the complementary parameters of the encoding. +func (m Encoder) GetParams() Params { return m.p } + +// tableSize returns the size of each table. +func (m Encoder) tableSize() uint { return 1 << (m.p.W - 1) } + +// Elts returns the total number of elements that must be precomputed. +func (m Encoder) Elts() uint { return m.p.V * m.tableSize() } + +// IsExtended returns true if the element x^(2^(wd)) must be calculated. +func (m Encoder) IsExtended() bool { q := m.p.T / (m.p.V * m.p.W); return m.p.T == q*m.p.V*m.p.W } + +// Ops returns the number of squares and multiplications executed during an exponentiation. +func (m Encoder) Ops() (S uint, M uint) { + S = m.p.E + M = m.p.E * m.p.V + if m.IsExtended() { + M++ + } + return +} + +func (m Encoder) String() string { + return fmt.Sprintf("T: %v W: %v V: %v e: %v d: %v l: %v wv|t: %v", + m.p.T, m.p.W, m.p.V, m.p.E, m.p.D, m.p.L, m.IsExtended()) +} diff --git a/src/circl/math/mlsbset/mlsbset_test.go b/src/circl/math/mlsbset/mlsbset_test.go new file mode 100644 index 00000000000..39c7be2dddf --- /dev/null +++ b/src/circl/math/mlsbset/mlsbset_test.go @@ -0,0 +1,151 @@ +package mlsbset_test + +import ( + "crypto/rand" + "errors" + "math/big" + "testing" + + "circl/internal/conv" + "circl/internal/test" + "circl/math/mlsbset" +) + +func TestExp(t *testing.T) { + T := uint(126) + for v := uint(1); v <= 5; v++ { + for w := uint(2); w <= 5; w++ { + m, err := mlsbset.New(T, v, w) + if err != nil { + test.ReportError(t, err, nil) + } + testExp(t, m) + } + } +} + +func testExp(t *testing.T, m mlsbset.Encoder) { + const testTimes = 1 << 8 + params := m.GetParams() + TBytes := (params.T + 7) / 8 + topBits := (byte(1) << (params.T % 8)) - 1 + k := make([]byte, TBytes) + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k) + k[0] |= 1 + k[TBytes-1] &= topBits + + c, err := m.Encode(k) + if err != nil { + test.ReportError(t, err, nil) + } + + g := zzAdd{m.GetParams()} + a := c.Exp(g) + + got := a.(*big.Int) + want := conv.BytesLe2BigInt(k) + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, m) + } + } +} + +type zzAdd struct{ set mlsbset.Params } + +func (zzAdd) Identity() mlsbset.EltG { return big.NewInt(0) } +func (zzAdd) NewEltP() mlsbset.EltP { return new(big.Int) } +func (zzAdd) Sqr(x mlsbset.EltG) { + a := x.(*big.Int) + a.Add(a, a) +} +func (zzAdd) Mul(x mlsbset.EltG, y mlsbset.EltP) { + a := x.(*big.Int) + b := y.(*big.Int) + a.Add(a, b) +} +func (z zzAdd) ExtendedEltP() mlsbset.EltP { + a := big.NewInt(1) + a.Lsh(a, z.set.W*z.set.D) + return a +} +func (z zzAdd) Lookup(x mlsbset.EltP, idTable uint, sgnElt int32, idElt int32) { + a := x.(*big.Int) + a.SetInt64(1) + a.Lsh(a, z.set.E*idTable) // 2^(e*v) + sum := big.NewInt(0) + for i := int(z.set.W - 2); i >= 0; i-- { + ui := big.NewInt(int64((idElt >> uint(i)) & 0x1)) + sum.Add(sum, ui) + sum.Lsh(sum, z.set.D) + } + sum.Add(sum, big.NewInt(1)) + a.Mul(a, sum) + if sgnElt == -1 { + a.Neg(a) + } +} + +func TestEncodeErr(t *testing.T) { + t.Run("mArgs", func(t *testing.T) { + _, got := mlsbset.New(0, 0, 0) + want := errors.New("t>1, v>=1, w>=2") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("kOdd", func(t *testing.T) { + m, _ := mlsbset.New(16, 2, 2) + k := make([]byte, 2) + _, got := m.Encode(k) + want := errors.New("k must be odd") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("kBig", func(t *testing.T) { + m, _ := mlsbset.New(16, 2, 2) + k := make([]byte, 4) + _, got := m.Encode(k) + want := errors.New("k too big") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("kEmpty", func(t *testing.T) { + m, _ := mlsbset.New(16, 2, 2) + k := []byte{} + _, got := m.Encode(k) + want := errors.New("empty slice") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) +} + +func BenchmarkEncode(b *testing.B) { + t, v, w := uint(256), uint(2), uint(3) + m, _ := mlsbset.New(t, v, w) + params := m.GetParams() + TBytes := (params.T + 7) / 8 + topBits := (byte(1) << (params.T % 8)) - 1 + + k := make([]byte, TBytes) + _, _ = rand.Read(k) + k[0] |= 1 + k[TBytes-1] &= topBits + + c, _ := m.Encode(k) + g := zzAdd{params} + + b.Run("Encode", func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _ = m.Encode(k) + } + }) + b.Run("Exp", func(b *testing.B) { + for i := 0; i < b.N; i++ { + c.Exp(g) + } + }) +} diff --git a/src/circl/math/mlsbset/power.go b/src/circl/math/mlsbset/power.go new file mode 100644 index 00000000000..3f214c3046a --- /dev/null +++ b/src/circl/math/mlsbset/power.go @@ -0,0 +1,64 @@ +package mlsbset + +import "fmt" + +// Power is a valid exponent produced by the MLSBSet encoding algorithm. +type Power struct { + set Encoder // parameters of code. + s []int32 // set of signs. + b []int32 // set of digits. + c int // carry is {0,1}. +} + +// Exp is calculates x^k, where x is a predetermined element of a group G. +func (p *Power) Exp(G Group) EltG { + a, b := G.Identity(), G.NewEltP() + for e := int(p.set.p.E - 1); e >= 0; e-- { + G.Sqr(a) + for v := uint(0); v < p.set.p.V; v++ { + sgnElt, idElt := p.Digit(v, uint(e)) + G.Lookup(b, v, sgnElt, idElt) + G.Mul(a, b) + } + } + if p.set.IsExtended() && p.c == 1 { + G.Mul(a, G.ExtendedEltP()) + } + return a +} + +// Digit returns the (v,e)-th digit and its sign. +func (p *Power) Digit(v, e uint) (sgn, dig int32) { + sgn = p.bit(0, v, e) + dig = 0 + for i := p.set.p.W - 1; i > 0; i-- { + dig = 2*dig + p.bit(i, v, e) + } + mask := dig >> 31 + dig = (dig + mask) ^ mask + return sgn, dig +} + +// bit returns the (w,v,e)-th bit of the code. +func (p *Power) bit(w, v, e uint) int32 { + if !(w < p.set.p.W && + v < p.set.p.V && + e < p.set.p.E) { + panic(fmt.Errorf("indexes outside (%v,%v,%v)", w, v, e)) + } + if w == 0 { + return p.s[p.set.p.E*v+e] + } + return p.b[p.set.p.D*(w-1)+p.set.p.E*v+e] +} + +func (p *Power) String() string { + dig := "" + for j := uint(0); j < p.set.p.V; j++ { + for i := uint(0); i < p.set.p.E; i++ { + s, d := p.Digit(j, i) + dig += fmt.Sprintf("(%2v,%2v) = %+2v %+2v\n", j, i, s, d) + } + } + return fmt.Sprintf("len: %v\ncarry: %v\ndigits:\n%v", len(p.b)+len(p.s), p.c, dig) +} diff --git a/src/circl/math/wnaf.go b/src/circl/math/wnaf.go new file mode 100644 index 00000000000..df7a9c9bacb --- /dev/null +++ b/src/circl/math/wnaf.go @@ -0,0 +1,84 @@ +// Package math provides some utility functions for big integers. +package math + +import "math/big" + +// SignedDigit obtains the signed-digit recoding of n and returns a list L of +// digits such that n = sum( L[i]*2^(i*(w-1)) ), and each L[i] is an odd number +// in the set {±1, ±3, ..., ±2^(w-1)-1}. The third parameter ensures that the +// output has ceil(l/(w-1)) digits. +// +// Restrictions: +// - n is odd and n > 0. +// - 1 < w < 32. +// - l >= bit length of n. +// +// References: +// - Alg.6 in "Exponent Recoding and Regular Exponentiation Algorithms" +// by Joye-Tunstall. http://doi.org/10.1007/978-3-642-02384-2_21 +// - Alg.6 in "Selecting Elliptic Curves for Cryptography: An Efficiency and +// Security Analysis" by Bos et al. http://doi.org/10.1007/s13389-015-0097-y +func SignedDigit(n *big.Int, w, l uint) []int32 { + if n.Sign() <= 0 || n.Bit(0) == 0 { + panic("n must be non-zero, odd, and positive") + } + if w <= 1 || w >= 32 { + panic("Verify that 1 < w < 32") + } + if uint(n.BitLen()) > l { + panic("n is too big to fit in l digits") + } + lenN := (l + (w - 1) - 1) / (w - 1) // ceil(l/(w-1)) + L := make([]int32, lenN+1) + var k, v big.Int + k.Set(n) + + var i uint + for i = 0; i < lenN; i++ { + words := k.Bits() + value := int32(words[0] & ((1 << w) - 1)) + value -= int32(1) << (w - 1) + L[i] = value + v.SetInt64(int64(value)) + k.Sub(&k, &v) + k.Rsh(&k, w-1) + } + L[i] = int32(k.Int64()) + return L +} + +// OmegaNAF obtains the window-w Non-Adjacent Form of a positive number n and +// 1 < w < 32. The returned slice L holds n = sum( L[i]*2^i ). +// +// Reference: +// - Alg.9 "Efficient arithmetic on Koblitz curves" by Solinas. +// http://doi.org/10.1023/A:1008306223194 +func OmegaNAF(n *big.Int, w uint) (L []int32) { + if n.Sign() < 0 { + panic("n must be positive") + } + if w <= 1 || w >= 32 { + panic("Verify that 1 < w < 32") + } + + L = make([]int32, n.BitLen()+1) + var k, v big.Int + k.Set(n) + + i := 0 + for ; k.Sign() > 0; i++ { + value := int32(0) + if k.Bit(0) == 1 { + words := k.Bits() + value = int32(words[0] & ((1 << w) - 1)) + if value >= (int32(1) << (w - 1)) { + value -= int32(1) << w + } + v.SetInt64(int64(value)) + k.Sub(&k, &v) + } + L[i] = value + k.Rsh(&k, 1) + } + return L[:i] +} diff --git a/src/circl/math/wnaf_test.go b/src/circl/math/wnaf_test.go new file mode 100644 index 00000000000..17c2a911cae --- /dev/null +++ b/src/circl/math/wnaf_test.go @@ -0,0 +1,92 @@ +package math + +import ( + "crypto/rand" + "fmt" + "math/big" + "testing" + + "circl/internal/test" +) + +func TestOmegaNAF(t *testing.T) { + testTimes := 1 << 7 + var max big.Int + max.SetInt64(1) + max.Lsh(&max, 128) + + for w := uint(2); w < 10; w++ { + for j := 0; j < testTimes; j++ { + x, _ := rand.Int(rand.Reader, &max) + L := OmegaNAF(x, w) + + var y big.Int + for i := len(L) - 1; i >= 0; i-- { + y.Add(&y, &y).Add(&y, big.NewInt(int64(L[i]))) + } + want := x + got := &y + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, w) + } + } + } +} + +func TestOmegaNAFRegular(t *testing.T) { + testTimes := 1 << 7 + Two128 := big.NewInt(1) + Two128.Lsh(Two128, 128) + + for w := uint(2); w < 10; w++ { + for j := 0; j < testTimes; j++ { + x, _ := rand.Int(rand.Reader, Two128) + x.SetBit(x, 0, uint(1)) // odd-numbers + L := SignedDigit(x, w, 128) + + var y big.Int + for i := len(L) - 1; i >= 0; i-- { + y.Lsh(&y, w-1) + y.Add(&y, big.NewInt(int64(L[i]))) + } + want := x + got := &y + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x, w) + } + } + } +} + +func BenchmarkOmegaNAF(b *testing.B) { + Two128 := big.NewInt(1) + Two128.Lsh(Two128, 128) + + for w := uint(2); w < 6; w++ { + w := w // pin variable + b.Run(fmt.Sprintf("%v", w), func(b *testing.B) { + x, _ := rand.Int(rand.Reader, Two128) + b.ResetTimer() + for i := 0; i < b.N; i++ { + _ = OmegaNAF(x, w) + } + }) + } +} + +func BenchmarkOmegaNAFRegular(b *testing.B) { + Two128 := big.NewInt(1) + Two128.Lsh(Two128, 128) + + for w := uint(2); w < 6; w++ { + w := w // pin variable + b.Run(fmt.Sprintf("%v", w), func(b *testing.B) { + x, _ := rand.Int(rand.Reader, Two128) + x.SetBit(x, 0, uint(1)) // odd-numbers + b.ResetTimer() + for i := 0; i < b.N; i++ { + _ = SignedDigit(x, w, 128) + } + }) + } +} diff --git a/src/circl/sign/dilithium/dilithium.go b/src/circl/sign/dilithium/dilithium.go new file mode 100644 index 00000000000..211b54f244f --- /dev/null +++ b/src/circl/sign/dilithium/dilithium.go @@ -0,0 +1,118 @@ +//go:generate go run gen.go + +// dilithium implements the CRYSTALS-Dilithium signature schemes +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +// +// Each of the eight different modes of Dilithium is implemented by a +// subpackage. For instance, Dilithium III (the recommended mode) +// can be found in +// +// circl/sign/dilithium/mode3 +// +// If your choice for mode is fixed compile-time, use the subpackages. +// This package provides a convenient wrapper around all of the subpackages +// so one can be chosen at runtime. +// +// The authors of Dilithium recommend to combine it with a "pre-quantum" +// signature scheme. The packages +// +// circl/sign/eddilithium3 +// circl/sign/eddilithium4 +// +// implement such hybrids of Dilithium3 with Ed25519 respectively and +// Dilithium4 with Ed448. These packages are a drop in replacements for the +// mode subpackages of this package. +package dilithium + +import ( + "crypto" + "io" +) + +// PublicKey is a Dilithium public key. +// +// The structure contains values precomputed during unpacking/key generation +// and is therefore significantly larger than a packed public key. +type PublicKey interface { + // Packs public key + Bytes() []byte +} + +// PrivateKey is a Dilithium public key. +// +// The structure contains values precomputed during unpacking/key generation +// and is therefore significantly larger than a packed private key. +type PrivateKey interface { + // Packs private key + Bytes() []byte + + crypto.Signer +} + +// Mode is a certain configuration of the Dilithium signature scheme. +type Mode interface { + // GenerateKey generates a public/private key pair using entropy from rand. + // If rand is nil, crypto/rand.Reader will be used. + GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) + + // NewKeyFromSeed derives a public/private key pair using the given seed. + // Panics if len(seed) != SeedSize() + NewKeyFromSeed(seed []byte) (PublicKey, PrivateKey) + + // NewKeyFromExpandedSeed derives a public/private key pair using the + // given expanded seed. + // + // Use NewKeyFromSeed instead of this function. This function is only exposed + // to generate the NIST KAT test vectors. + NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, PrivateKey) + + // Sign signs the given message and returns the signature. + // It will panic if sk has not been generated for this mode. + Sign(sk PrivateKey, msg []byte) []byte + + // Verify checks whether the given signature by pk on msg is valid. + // It will panic if pk is of the wrong mode. + Verify(pk PublicKey, msg []byte, signature []byte) bool + + // Unpacks a public key. Panics if the buffer is not of PublicKeySize() + // length. Precomputes values to speed up subsequent calls to Verify. + PublicKeyFromBytes([]byte) PublicKey + + // Unpacks a private key. Panics if the buffer is not + // of PrivateKeySize() length. Precomputes values to speed up subsequent + // calls to Sign(To). + PrivateKeyFromBytes([]byte) PrivateKey + + // SeedSize returns the size of the seed for NewKeyFromSeed + SeedSize() int + + // PublicKeySize returns the size of a packed PublicKey + PublicKeySize() int + + // PrivateKeySize returns the size of a packed PrivateKey + PrivateKeySize() int + + // SignatureSize returns the size of a signature + SignatureSize() int + + // Name returns the name of this mode + Name() string +} + +var modes = make(map[string]Mode) + +// ModeNames returns the list of supported modes. +func ModeNames() []string { + names := []string{} + for name := range modes { + names = append(names, name) + } + return names +} + +// ModeByName returns the mode with the given name or nil when not supported. +func ModeByName(name string) Mode { + return modes[name] +} diff --git a/src/circl/sign/dilithium/dilithium_test.go b/src/circl/sign/dilithium/dilithium_test.go new file mode 100644 index 00000000000..da4d8a4e8db --- /dev/null +++ b/src/circl/sign/dilithium/dilithium_test.go @@ -0,0 +1,56 @@ +package dilithium + +import ( + "encoding/hex" + "testing" + + "circl/internal/shake" +) + +func hexHash(in []byte) string { + var ret [16]byte + h := shake.NewShake256() + _, _ = h.Write(in[:]) + _, _ = h.Read(ret[:]) + return hex.EncodeToString(ret[:]) +} + +func testNewKeyFromSeed(t *testing.T, name, esk, epk string) { + mode := ModeByName(name) + if mode == nil { + t.Fatal() + } + var seed [96]byte + h := shake.NewShake128() + _, _ = h.Write(make([]byte, mode.SeedSize())) + _, _ = h.Read(seed[:]) + pk, sk := mode.NewKeyFromExpandedSeed(&seed) + pkh := hexHash(pk.Bytes()) + skh := hexHash(sk.Bytes()) + if pkh != epk { + t.Fatalf("%s expected pk %s, got %s", name, epk, pkh) + } + if skh != esk { + t.Fatalf("%s expected pk %s, got %s", name, esk, skh) + } +} + +func TestNewKeyFromSeed(t *testing.T) { + // Test vectors generated from reference implementation + testNewKeyFromSeed(t, "Dilithium1", + "af470e12a57d00c04c4a2b5998f41c71", "83616951b98312a97ea10e12b7b69675") + testNewKeyFromSeed(t, "Dilithium2", + "48dec3d688330dfc68f9bf4277fb92e1", "38e7339d00e64348cb2f965ecf9ee38b") + testNewKeyFromSeed(t, "Dilithium3", + "a44fcf1f43d124865c63cbf381a3b7eb", "b725d31fb709664f8587e2fb6a60fe80") + testNewKeyFromSeed(t, "Dilithium4", + "e054319bbabd2e156c56e8ee923c2a8e", "e7997fc71a6796056d4633a40769c495") + testNewKeyFromSeed(t, "Dilithium1-AES", + "be55853ce1d2c1113fc96f1295928789", "7782ac146d9e636221329cfe64647112") + testNewKeyFromSeed(t, "Dilithium2-AES", + "2abfd0d294ce1b2bab5b860482c4bbc1", "23c4e9516662394e88e559cf2874d7a4") + testNewKeyFromSeed(t, "Dilithium3-AES", + "ba72ed309182aa509e595013b3ad9089", "887baaf3a98d0aa6b95c8c1a6867e609") + testNewKeyFromSeed(t, "Dilithium4-AES", + "7c1c8b5df63fd096901da43c00fa71e8", "f7f850c1d8ff82c868ab2f188ac624b3") +} diff --git a/src/circl/sign/dilithium/example_test.go b/src/circl/sign/dilithium/example_test.go new file mode 100644 index 00000000000..1c370fb7771 --- /dev/null +++ b/src/circl/sign/dilithium/example_test.go @@ -0,0 +1,56 @@ +package dilithium_test + +import ( + "fmt" + "sort" + + "circl/sign/dilithium" +) + +func Example() { + // Check supported modes + modes := dilithium.ModeNames() + sort.Strings(modes) + fmt.Printf("Supported modes: %v\n", modes) + + // Pick Dilithium mode III. + mode := dilithium.ModeByName("Dilithium3") + if mode == nil { + panic("Mode3 not supported") + } + + // Alternatively one could simply write + // + // mode := dilithium.Mode3 + + // Generates a keypair. + pk, sk, err := mode.GenerateKey(nil) + if err != nil { + panic(err) + } + // (Alternatively one can derive a keypair from a seed, + // see mode.NewKeyFromSeed().) + + // Packs public and private key + packedSk := sk.Bytes() + packedPk := pk.Bytes() + + // Load it again + sk2 := mode.PrivateKeyFromBytes(packedSk) + pk2 := mode.PublicKeyFromBytes(packedPk) + + // Creates a signature on our message with the generated private key. + msg := []byte("Some message") + signature := mode.Sign(sk2, msg) + + // Checks whether a signature is correct + if !mode.Verify(pk2, msg, signature) { + panic("incorrect signature") + } + + fmt.Printf("O.K.") + + // Output: + // Supported modes: [Dilithium1 Dilithium1-AES Dilithium2 Dilithium2-AES Dilithium3 Dilithium3-AES Dilithium4 Dilithium4-AES] + // O.K. +} diff --git a/src/circl/sign/dilithium/internal/common/aes.go b/src/circl/sign/dilithium/internal/common/aes.go new file mode 100644 index 00000000000..91602d7a6f6 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/aes.go @@ -0,0 +1,46 @@ +package common + +import ( + "crypto/aes" + "crypto/cipher" + "encoding/binary" +) + +// AES CTR stream used as a replacement for SHAKE in Dilithium[1234]-AES. +type AesStream struct { + c cipher.Block + counter uint64 + nonce uint16 +} + +// Create a new AesStream as a replacement of SHAKE128. (Note that +// not all occurrences of SHAKE are replaced by AES in the AES-variants). +func NewAesStream128(key *[32]byte, nonce uint16) AesStream { + c, _ := aes.NewCipher(key[:]) + return AesStream{c: c, nonce: nonce} +} + +// Create a new AesStream as a replacement of SHAKE256. (Note that +// not all occurrences of SHAKE are replaced by AES in the AES-variants.) +// +// Yes, in an AES mode, Dilithium throws away the last 16 bytes of a seed ... +// See the remark at the end of the caption of Figure 4 in the Round 2 spec. +func NewAesStream256(key *[48]byte, nonce uint16) AesStream { + c, _ := aes.NewCipher(key[:32]) + return AesStream{c: c, nonce: nonce} +} + +// Squeeze some more blocks from the AES CTR stream into buf. +// +// Assumes length of buf is a multiple of 16. +func (s *AesStream) SqueezeInto(buf []byte) { + var tmp [16]byte + binary.LittleEndian.PutUint16(tmp[:], s.nonce) + + for len(buf) != 0 { + binary.BigEndian.PutUint64(tmp[8:], s.counter) + s.counter++ + s.c.Encrypt(buf, tmp[:]) + buf = buf[16:] + } +} diff --git a/src/circl/sign/dilithium/internal/common/amd64.go b/src/circl/sign/dilithium/internal/common/amd64.go new file mode 100644 index 00000000000..fea6551a828 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/amd64.go @@ -0,0 +1,183 @@ +// +build amd64 + +package common + +import ( + "internal/cpu" +) + +// Execute an in-place forward NTT on as. +// +// Assumes the coefficients are in Montgomery representation and bounded +// by 2*Q. The resulting coefficients are again in Montgomery representation, +// but are only bounded bt 18*Q. +func (p *Poly) NTT() { + if cpu.X86.HasAVX2 { + nttAVX2( + (*[N]uint32)(p), + ) + } else { + p.nttGeneric() + } +} + +// Execute an in-place inverse NTT and multiply by Montgomery factor R +// +// Assumes the coefficients are in Montgomery representation and bounded +// by 2*Q. The resulting coefficients are again in Montgomery representation +// and bounded by 2*Q. +func (p *Poly) InvNTT() { + if cpu.X86.HasAVX2 { + invNttAVX2( + (*[N]uint32)(p), + ) + } else { + p.invNttGeneric() + } +} + +// Sets p to the polynomial whose coefficients are the pointwise multiplication +// of those of a and b. The coefficients of p are bounded by 2q. +// +// Assumes a and b are in Montgomery form and that the pointwise product +// of each coefficient is below 2³² q. +func (p *Poly) MulHat(a, b *Poly) { + if cpu.X86.HasAVX2 { + mulHatAVX2( + (*[N]uint32)(p), + (*[N]uint32)(a), + (*[N]uint32)(b), + ) + } else { + p.mulHatGeneric(a, b) + } +} + +// Sets p to a + b. Does not normalize polynomials. +func (p *Poly) Add(a, b *Poly) { + if cpu.X86.HasAVX2 { + addAVX2( + (*[N]uint32)(p), + (*[N]uint32)(a), + (*[N]uint32)(b), + ) + } else { + p.addGeneric(a, b) + } +} + +// Sets p to a - b. +// +// Warning: assumes coefficients of b are less than 2q. +// Sets p to a + b. Does not normalize polynomials. +func (p *Poly) Sub(a, b *Poly) { + if cpu.X86.HasAVX2 { + subAVX2( + (*[N]uint32)(p), + (*[N]uint32)(a), + (*[N]uint32)(b), + ) + } else { + p.subGeneric(a, b) + } +} + +// Writes p whose coefficients are in [0, 16) to buf, which must be of +// length N/2. +func (p *Poly) PackLe16(buf []byte) { + if cpu.X86.HasAVX2 { + if len(buf) < PolyLe16Size { + panic("buf too small") + } + packLe16AVX2( + (*[N]uint32)(p), + &buf[0], + ) + } else { + p.packLe16Generic(buf) + } +} + +// Reduces each of the coefficients to <2q. +func (p *Poly) ReduceLe2Q() { + if cpu.X86.HasAVX2 { + reduceLe2QAVX2((*[N]uint32)(p)) + } else { + p.reduceLe2QGeneric() + } +} + +// Reduce each of the coefficients to > 23 + x2 := x & 0x7FFFFF // 2²³-1 + return x2 + (x1 << 13) - x1 +} + +// Returns x mod q. +func modQ(x uint32) uint32 { + return le2qModQ(reduceLe2Q(x)) +} + +// For x R ≤ q 2³², find y ≤ 2q with y = x mod q. +func montReduceLe2Q(x uint64) uint32 { + // Qinv = 4236238847 = -(q⁻¹) mod 2³² + m := (x * Qinv) & 0xffffffff + return uint32((x + m*uint64(Q)) >> 32) +} + +// Returns x mod q for 0 ≤ x < 2q. +func le2qModQ(x uint32) uint32 { + x -= Q + mask := uint32(int32(x) >> 31) // mask is 2³²-1 if x was neg.; 0 otherwise + return x + (mask & Q) +} + +// Splits 0 ≤ a < Q into a0 and a1 with a = a1*2ᴰ + a0 +// and -2ᴰ⁻¹ < a0 < 2ᴰ⁻¹. Returns a0 + Q and a1. +func power2round(a uint32) (a0plusQ, a1 uint32) { + // We effectively compute a0 = a mod± 2ᵈ + // and a1 = (a - a0) / 2ᵈ. + a0 := a & ((1 << D) - 1) // a mod 2ᵈ + + // a0 is one of 0, 1, ..., 2ᵈ⁻¹-1, 2ᵈ⁻¹, 2ᵈ⁻¹+1, ..., 2ᵈ-1 + a0 -= (1 << (D - 1)) + 1 + // now a0 is -2ᵈ⁻¹-1, -2ᵈ⁻¹, ..., -2, -1, 0, ..., 2ᵈ⁻¹-2 + // Next, we add 2ᴰ to those a0 that are negative (seen as int32). + a0 += uint32(int32(a0)>>31) & (1 << D) + // now a0 is 2ᵈ⁻¹-1, 2ᵈ⁻¹, ..., 2ᵈ-2, 2ᵈ-1, 0, ..., 2ᵈ⁻¹-2 + a0 -= (1 << (D - 1)) - 1 + // now a0 id 0, 1, 2, ..., 2ᵈ⁻¹-1, 2ᵈ⁻¹-1, -2ᵈ⁻¹-1, ... + // which is what we want. + a0plusQ = Q + a0 + a1 = (a - a0) >> D + return +} + +// Splits 0 ≤ a < Q into a0 and a₁ with a = a₁*α + a₀ with -α/2 < a₀ ≤ α/2, +// except for when we would have a1 = (Q-1)/α = 16 in which case a1=0 is taken +// and -α/2 ≤ a₀ < 0. Returns a₀ + Q. Note 0 ≤ a₁ ≤ 15. +// Note α = 2*γ₂ = γ₁ with the chosen parameters of Dilithium. +func decompose(a uint32) (a0plusQ, a1 uint32) { + // Finds 0 ≤ t < 1.5α with t = a mod α. (Recall α=2¹⁹ - 2⁹.) + t := int32(a & 0x7ffff) + t += (int32(a) >> 19) << 9 + + // If 0 ≤ t < α, then the following computes a mod± α with the same + // argument as in power2round(). If α ≤ t < 1.5α, then the following + // subtracts α, which thus also computes a mod± α. + t -= Alpha/2 + 1 + t += (t >> 31) & Alpha + t -= Alpha/2 - 1 + + a1 = a - uint32(t) + + // We want to divide α out of a₁ (to get the proper value of a1). + // As our values are relatively small and α=2¹⁹-2⁹, we can simply + // divide by 2¹⁹ and add one. There is one corner case we have to deal + // with: if a₁=0 then 0/α=0≠1=0/2¹⁹+1, so we need to get rid of the +1. + u := ((a1 - 1) >> 31) & 1 // u=1 if a₁=0 + a1 = (a1 >> 19) + 1 + a1 -= u // correct for the case a₁=0 + + a0plusQ = Q + uint32(t) + + // Now deal with the corner case of the definition, if a₁=(Q-1)/α, + // then we use a₁=0. Note (Q-1)/α=2⁴. + a0plusQ -= a1 >> 4 // to compensate, we only have to move the -1. + a1 &= 15 // set a₀=0 if a₁=16 + return +} + +// Assume 0 ≤ r, f < Q with ‖f‖_∞ ≤ α/2. Decompose r as r = r1*α + r0 as +// computed by decompose(). Write r' := r - f (mod Q). Now, decompose +// r'=r-f again as r' = r'1*α + r'0 using decompose(). As f is small, we +// have r'1 = r1 + h, where h ∈ {-1, 0, 1}. makeHint() computes |h| +// given z0 := r0 - f (mod Q) and r1. With |h|, which is called the hint, +// we can reconstruct r1 using only r' = r - f, which is done by useHint(). +// To wit: +// +// useHint( r - f, makeHint( r0 - f, r1 ) ) = r1. +// +// Assumes 0 ≤ z0 < Q. +func makeHint(z0, r1 uint32) uint32 { + // If -α/2 < r0 - f ≤ α/2, then r1*α + r0 - f is a valid decomposition of r' + // with the restrictions of decompose() and so r'1 = r1. So the hint + // should be 0. This is covered by the first two inequalities. + // There is one other case: if r0 - f = -α/2, then r1*α + r0 - f is also + // a valid decomposition if r1 = 0. In the other cases a one is carried + // and the hint should be 1. + if z0 <= Gamma2 || z0 > Q-Gamma2 || (z0 == Q-Gamma2 && r1 == 0) { + return 0 + } + return 1 +} + +// Uses the hint created by makeHint() to reconstruct r1 from r'=r-f; see +// documentation of makeHint() for context. +// Assumes 0 ≤ r' < Q. +func useHint(rp uint32, hint uint32) uint32 { + rp0plusQ, rp1 := decompose(rp) + if hint == 0 { + return rp1 + } + if rp0plusQ > Q { + return (rp1 + 1) & 15 + } + return (rp1 - 1) & 15 +} diff --git a/src/circl/sign/dilithium/internal/common/field_test.go b/src/circl/sign/dilithium/internal/common/field_test.go new file mode 100644 index 00000000000..3be7f6abca4 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/field_test.go @@ -0,0 +1,106 @@ +package common + +import ( + "flag" + "math/rand" + "testing" +) + +var runVeryLongTest = flag.Bool("very-long", false, "runs very long tests") + +func TestModQ(t *testing.T) { + for i := 0; i < 1000; i++ { + x := rand.Uint32() + y := modQ(x) + if y > Q { + t.Fatalf("modQ(%d) > Q", x) + } + if y != x%Q { + t.Fatalf("modQ(%d) != %d (mod Q)", x, x) + } + } +} + +func TestReduceLe2Q(t *testing.T) { + for i := 0; i < 1000; i++ { + x := rand.Uint32() + y := reduceLe2Q(x) + if y > 2*Q { + t.Fatalf("reduce_le2q(%d) > 2Q", x) + } + if y%Q != x%Q { + t.Fatalf("reduce_le2q(%d) != %d (mod Q)", x, x) + } + } +} + +func TestPower2Round(t *testing.T) { + for a := uint32(0); a < Q; a++ { + a0PlusQ, a1 := power2round(a) + a0 := int32(a0PlusQ) - int32(Q) + if int32(a) != a0+int32((1<= a0) || (a0 > 1<<(D-1)) { + t.Fatalf("power2round(%v): a0 out of bounds", a) + } + if a1 > (1 << (23 - 14)) { // 23 ~ 2log Q. + t.Fatalf("power2round(%v): a1 out of bounds", a) + } + } +} + +func TestDecompose(t *testing.T) { + for a := uint32(0); a < Q; a++ { + a0PlusQ, a1 := decompose(a) + a0 := int32(a0PlusQ) - int32(Q) + recombined := a0 + int32(Alpha*a1) + if a1 == 0 && recombined < 0 { + recombined += Q + if -(Alpha/2) > a0 || a0 >= 0 { + t.Fatalf("decompose(%v): a0 out of bounds", a) + } + } else { + if (-(Alpha / 2) >= a0) || (a0 > Alpha/2) { + t.Fatalf("decompose(%v): a0 out of bounds", a) + } + } + if int32(a) != recombined { + t.Fatalf("decompose(%v) doesn't recombine %v %v", a, a0, a1) + } + } +} + +func TestMakeHint(t *testing.T) { + if !*runVeryLongTest { + t.SkipNow() + } + for w := uint32(0); w < Q; w++ { + w0, w1 := decompose(w) + for fn := uint32(0); fn <= Gamma2; fn++ { + fsign := false + for { + var f uint32 + if fsign { + if fn == 0 { + break + } + f = Q - fn + } else { + f = fn + } + + hint := makeHint(reduceLe2Q(w0+Q-f), w1) + w1p := useHint(reduceLe2Q(w+Q-f), hint) + if w1p != w1 { + t.Fatal() + } + + if fsign { + break + } + fsign = true + } + } + } +} diff --git a/src/circl/sign/dilithium/internal/common/generic.go b/src/circl/sign/dilithium/internal/common/generic.go new file mode 100644 index 00000000000..8dd555d354c --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/generic.go @@ -0,0 +1,95 @@ +// +build !amd64 + +package common + +// Execute an in-place forward NTT on as. +// +// Assumes the coefficients are in Montgomery representation and bounded +// by 2*Q. The resulting coefficients are again in Montgomery representation, +// but are only bounded bt 18*Q. +func (p *Poly) NTT() { + p.nttGeneric() +} + +// Execute an in-place inverse NTT and multiply by Montgomery factor R +// +// Assumes the coefficients are in Montgomery representation and bounded +// by 2*Q. The resulting coefficients are again in Montgomery representation +// and bounded by 2*Q. +func (p *Poly) InvNTT() { + p.invNttGeneric() +} + +// Sets p to the polynomial whose coefficients are the pointwise multiplication +// of those of a and b. The coefficients of p are bounded by 2q. +// +// Assumes a and b are in Montgomery form and that the pointwise product +// of each coefficient is below 2³² q. +func (p *Poly) MulHat(a, b *Poly) { + p.mulHatGeneric(a, b) +} + +// Sets p to a + b. Does not normalize polynomials. +func (p *Poly) Add(a, b *Poly) { + p.addGeneric(a, b) +} + +// Sets p to a - b. +// +// Warning: assumes coefficients of b are less than 2q. +// Sets p to a + b. Does not normalize polynomials. +func (p *Poly) Sub(a, b *Poly) { + p.subGeneric(a, b) +} + +// Writes p whose coefficients are in [0, 16) to buf, which must be of +// length N/2. +func (p *Poly) PackLe16(buf []byte) { + p.packLe16Generic(buf) +} + +// Reduces each of the coefficients to <2q. +func (p *Poly) ReduceLe2Q() { + p.reduceLe2QGeneric() +} + +// Reduce each of the coefficients to 0; l >>= 1 { + // On the n-th iteration of the l-loop, the coefficients start off + // bounded by n*2*Q. + // + // offset effectively loops over the row groups in this column; it + // is the first row in the row group. + for offset := uint(0); offset < N-l; offset += 2 * l { + k++ + zeta := uint64(Zetas[k]) + + // j loops over each butterfly in the row group. + for j := offset; j < offset+l; j++ { + t := montReduceLe2Q(zeta * uint64(p[j+l])) + p[j+l] = p[j] + (2*Q - t) // Cooley--Tukey butterfly + p[j] += t + } + } + } +} + +// Execute an in-place inverse NTT and multiply by Montgomery factor R +// +// Assumes the coefficients are in Montgomery representation and bounded +// by 2*Q. The resulting coefficients are again in Montgomery representation +// and bounded by 2*Q. +func (p *Poly) invNttGeneric() { + k := 0 // Index into InvZetas + + // We basically do the opposite of NTT, but postpone dividing by 2 in the + // inverse of the Cooley--Tukey butterfly and accumulate that to a big + // division by 2⁸ at the end. See comments in the NTT() function. + + for l := uint(1); l < N; l <<= 1 { + // On the n-th iteration of the l-loop, the coefficients start off + // bounded by 2ⁿ⁻¹*2*Q, so by 256*Q on the last. + for offset := uint(0); offset < N-l; offset += 2 * l { + zeta := uint64(InvZetas[k]) + k++ + for j := offset; j < offset+l; j++ { + t := p[j] // Gentleman--Sande butterfly + p[j] = t + p[j+l] + t += 256*Q - p[j+l] + p[j+l] = montReduceLe2Q(zeta * uint64(t)) + } + } + } + + for j := uint(0); j < N; j++ { + // ROver256 = 41978 = (256)⁻¹ R² + p[j] = montReduceLe2Q(ROver256 * uint64(p[j])) + } +} diff --git a/src/circl/sign/dilithium/internal/common/ntt_test.go b/src/circl/sign/dilithium/internal/common/ntt_test.go new file mode 100644 index 00000000000..3081dc09288 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/ntt_test.go @@ -0,0 +1,82 @@ +package common + +import ( + "math/rand" + "testing" +) + +func (p *Poly) RandLe2Q() { + for i := uint(0); i < N; i++ { + p[i] = uint32(rand.Intn(int(2 * Q))) + } +} + +func TestNTTAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p Poly + p.RandLe2Q() + q1 := p + q2 := p + q1.NTT() + q2.nttGeneric() + if q1 != q2 { + t.Fatalf("NTT(%v) = %v != %v", p, q1, q2) + } + } +} + +func TestNTT(t *testing.T) { + for k := 0; k < 1000; k++ { + var p, q Poly + p.RandLe2Q() + q = p + q.Normalize() + p.NTT() + for i := uint(0); i < N; i++ { + if p[i] > 18*Q { + t.Fatalf("NTT(%v)[%d] = %d > 18*Q", q, i, p[i]) + } + } + p.ReduceLe2Q() + p.InvNTT() + for i := uint(0); i < N; i++ { + if p[i] > 2*Q { + t.Fatalf("InvNTT(%v)[%d] > 2*Q", q, i) + } + } + p.Normalize() + for i := uint(0); i < N; i++ { + if p[i] != uint32((uint64(q[i])*uint64(1<<32))%Q) { + t.Fatalf("%v != %v", p, q) + } + } + } +} + +func BenchmarkNTTGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.nttGeneric() + } +} + +func BenchmarkInvNTTGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.invNttGeneric() + } +} + +func BenchmarkNTT(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.NTT() + } +} + +func BenchmarkInvNTT(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.InvNTT() + } +} diff --git a/src/circl/sign/dilithium/internal/common/pack.go b/src/circl/sign/dilithium/internal/common/pack.go new file mode 100644 index 00000000000..eb9bdca8a1d --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/pack.go @@ -0,0 +1,242 @@ +package common + +import ( + "encoding/binary" +) + +// Sets p to the polynomial whose coefficients are less than 512 encoded +// into buf (which must be of size PolyT1Size). +// +// p will be normalized. +func (p *Poly) UnpackT1(buf []byte) { + j := 0 + for i := 0; i < PolyT1Size; i += 9 { + p[j] = (uint32(buf[i]) | (uint32(buf[i+1]) << 8)) & 0x1ff + p[j+1] = (uint32(buf[i+1]>>1) | (uint32(buf[i+2]) << 7)) & 0x1ff + p[j+2] = (uint32(buf[i+2]>>2) | (uint32(buf[i+3]) << 6)) & 0x1ff + p[j+3] = (uint32(buf[i+3]>>3) | (uint32(buf[i+4]) << 5)) & 0x1ff + p[j+4] = (uint32(buf[i+4]>>4) | (uint32(buf[i+5]) << 4)) & 0x1ff + p[j+5] = (uint32(buf[i+5]>>5) | (uint32(buf[i+6]) << 3)) & 0x1ff + p[j+6] = (uint32(buf[i+6]>>6) | (uint32(buf[i+7]) << 2)) & 0x1ff + p[j+7] = (uint32(buf[i+7]>>7) | (uint32(buf[i+8]) << 1)) & 0x1ff + j += 8 + } +} + +// Writes p whose coefficients are in (-2ᵈ⁻¹, 2ᵈ⁻¹] into buf which +// has to be of length at least PolyT0Size. +// +// Assumes that the coefficients are not normalized, but lie in the +// range (q-2ᵈ⁻¹, q+2ᵈ⁻¹]. +func (p *Poly) PackT0(buf []byte) { + j := 0 + for i := 0; i < PolyT0Size; i += 7 { + p0 := Q + (1 << (D - 1)) - p[j] + p1 := Q + (1 << (D - 1)) - p[j+1] + p2 := Q + (1 << (D - 1)) - p[j+2] + p3 := Q + (1 << (D - 1)) - p[j+3] + + buf[i] = byte(p0) + buf[i+1] = byte(p0>>8) | byte(p1<<6) + buf[i+2] = byte(p1 >> 2) + buf[i+3] = byte(p1>>10) | byte(p2<<4) + buf[i+4] = byte(p2 >> 4) + buf[i+5] = byte(p2>>12) | byte(p3<<2) + buf[i+6] = byte(p3 >> 6) + j += 4 + } +} + +// Sets p to the polynomial packed into buf by PackT0. +// +// The coefficients of p will not be normalized, but will lie +// in (-2ᵈ⁻¹, 2ᵈ⁻¹]. +func (p *Poly) UnpackT0(buf []byte) { + j := 0 + for i := 0; i < PolyT0Size; i += 7 { + p[j] = Q + (1 << (D - 1)) - ((uint32(buf[i]) | + (uint32(buf[i+1]) << 8)) & 0x3fff) + p[j+1] = Q + (1 << (D - 1)) - (((uint32(buf[i+1]) >> 6) | + (uint32(buf[i+2]) << 2) | + (uint32(buf[i+3]) << 10)) & 0x3fff) + p[j+2] = Q + (1 << (D - 1)) - (((uint32(buf[i+3]) >> 4) | + (uint32(buf[i+4]) << 4) | + (uint32(buf[i+5]) << 12)) & 0x3fff) + p[j+3] = Q + (1 << (D - 1)) - ((uint32(buf[i+5]) >> 2) | + (uint32(buf[i+6]) << 6)) + j += 4 + } +} + +// Writes p whose coefficients are less than 512 into buf, which must be +// of size at least PolyT1Size . +// +// Assumes coefficients of p are normalized. +func (p *Poly) PackT1(buf []byte) { + j := 0 + for i := 0; i < PolyT1Size; i += 9 { + buf[i] = byte(p[j]) + buf[i+1] = byte(p[j]>>8) | byte(p[j+1]<<1) + buf[i+2] = byte(p[j+1]>>7) | byte(p[j+2]<<2) + buf[i+3] = byte(p[j+2]>>6) | byte(p[j+3]<<3) + buf[i+4] = byte(p[j+3]>>5) | byte(p[j+4]<<4) + buf[i+5] = byte(p[j+4]>>4) | byte(p[j+5]<<5) + buf[i+6] = byte(p[j+5]>>3) | byte(p[j+6]<<6) + buf[i+7] = byte(p[j+6]>>2) | byte(p[j+7]<<7) + buf[i+8] = byte(p[j+7] >> 1) + j += 8 + } +} + +// Writes p whose coefficients are in norm less than γ₁ into buf +// which has to be of length PolyLeGamma1Size. +// +// Assumes p is normalized. +func (p *Poly) PackLeGamma1(buf []byte) { + j := 0 + for i := 0; i < PolyLeGamma1Size; i += 5 { + // Coefficients are in [0, γ₁) ∪ (Q-γ₁, Q) + p0 := Gamma1 - 1 - p[j] // ... in [0, γ₁) ∪ [γ₁-1-Q, 2(γ₁-1)-Q] + p0 += uint32(int32(p0)>>31) & Q // ... in [0, 2(γ₁-1)] + p1 := Gamma1 - 1 - p[j+1] + p1 += uint32(int32(p1)>>31) & Q + + buf[i] = byte(p0) + buf[i+1] = byte(p0 >> 8) + buf[i+2] = byte(p0>>16) | byte(p1<<4) + buf[i+3] = byte(p1 >> 4) + buf[i+4] = byte(p1 >> 12) + j += 2 + } +} + +// Sets p to the polynomial packed into buf by PackLeGamma1. +// +// p will be normalized. +// +// Beware, for arbitrary buf the coefficients of p might exceed γ₁. +func (p *Poly) UnpackLeGamma1(buf []byte) { + j := 0 + for i := 0; i < PolyLeGamma1Size; i += 40 { + a0 := binary.LittleEndian.Uint64(buf[i:]) + a1 := binary.LittleEndian.Uint64(buf[i+8:]) + a2 := binary.LittleEndian.Uint64(buf[i+16:]) + a3 := binary.LittleEndian.Uint64(buf[i+24:]) + a4 := binary.LittleEndian.Uint64(buf[i+32:]) + + p0 := Gamma1 - 1 - uint32(a0&0xfffff) + p1 := Gamma1 - 1 - uint32((a0>>20)&0xfffff) + p2 := Gamma1 - 1 - uint32((a0>>40)&0xfffff) + p3 := Gamma1 - 1 - uint32(((a0>>60)|(a1<<4))&0xfffff) + p4 := Gamma1 - 1 - uint32((a1>>16)&0xfffff) + p5 := Gamma1 - 1 - uint32((a1>>36)&0xfffff) + p6 := Gamma1 - 1 - uint32(((a1>>56)|(a2<<8))&0xfffff) + p7 := Gamma1 - 1 - uint32((a2>>12)&0xfffff) + p8 := Gamma1 - 1 - uint32((a2>>32)&0xfffff) + p9 := Gamma1 - 1 - uint32(((a2>>52)|(a3<<12))&0xfffff) + p10 := Gamma1 - 1 - uint32((a3>>8)&0xfffff) + p11 := Gamma1 - 1 - uint32((a3>>28)&0xfffff) + p12 := Gamma1 - 1 - uint32(((a3>>48)|(a4<<16))&0xfffff) + p13 := Gamma1 - 1 - uint32((a4>>4)&0xfffff) + p14 := Gamma1 - 1 - uint32((a4>>24)&0xfffff) + p15 := Gamma1 - 1 - uint32((a4>>44)&0xfffff) + + p0 += uint32(int32(p0)>>31) & Q + p1 += uint32(int32(p1)>>31) & Q + p2 += uint32(int32(p2)>>31) & Q + p3 += uint32(int32(p3)>>31) & Q + p4 += uint32(int32(p4)>>31) & Q + p5 += uint32(int32(p5)>>31) & Q + p6 += uint32(int32(p6)>>31) & Q + p7 += uint32(int32(p7)>>31) & Q + p8 += uint32(int32(p8)>>31) & Q + p9 += uint32(int32(p9)>>31) & Q + p10 += uint32(int32(p10)>>31) & Q + p11 += uint32(int32(p11)>>31) & Q + p12 += uint32(int32(p12)>>31) & Q + p13 += uint32(int32(p13)>>31) & Q + p14 += uint32(int32(p14)>>31) & Q + p15 += uint32(int32(p15)>>31) & Q + + p[j] = p0 + p[j+1] = p1 + p[j+2] = p2 + p[j+3] = p3 + p[j+4] = p4 + p[j+5] = p5 + p[j+6] = p6 + p[j+7] = p7 + p[j+8] = p8 + p[j+9] = p9 + p[j+10] = p10 + p[j+11] = p11 + p[j+12] = p12 + p[j+13] = p13 + p[j+14] = p14 + p[j+15] = p15 + + j += 16 + } +} + +// Writes p whose coefficients are in [0, 16) to buf, which must be of +// length N/2. +func (p *Poly) packLe16Generic(buf []byte) { + j := 0 + for i := 0; i < PolyLe16Size; i++ { + buf[i] = byte(p[j]) | byte(p[j+1]<<4) + j += 2 + } +} + +// Writes p with 60 non-zero coefficients {-1,1} to buf, which must have +// length 40. +func (p *Poly) PackB60(buf []byte) { + // We start with a mask of the non-zero positions of p (which is 32 bytes) + // and then append 60 packed bits, where a one indicates a negative + // coefficients. + var signs uint64 + mask := uint64(1) + for i := 0; i < 32; i++ { + buf[i] = 0 + for j := 0; j < 8; j++ { + if p[8*i+j] != 0 { + buf[i] |= 1 << uint(j) + if p[8*i+j] == Q-1 { + signs |= mask + } + mask <<= 1 + } + } + } + for i := uint64(0); i < 8; i++ { + buf[i+32] = uint8(signs >> (8 * i)) + } +} + +// UnpackB60 sets p to the polynomial packed into buf with Poly.PackB60(). +// +// Returns whether unpacking was successful. +func (p *Poly) UnpackB60(buf []byte) bool { + *p = Poly{} // zero p + signs := (uint64(buf[32]) | (uint64(buf[33]) << 8) | + (uint64(buf[34]) << 16) | (uint64(buf[35]) << 24) | + (uint64(buf[36]) << 32) | (uint64(buf[37]) << 40) | + (uint64(buf[38]) << 48) | (uint64(buf[39]) << 56)) + if signs>>60 != 0 { + return false // ensure unused bits are zero for strong unforgeability + } + + for i := 0; i < 32; i++ { + for j := 0; j < 8; j++ { + if (buf[i]>>uint(j))&1 == 1 { + p[8*i+j] = 1 + // Note 1 ^ (1 | (Q-1)) = Q-1 and (-1)&x = x + p[8*i+j] ^= uint32(-(signs & 1)) & (1 | (Q - 1)) + signs >>= 1 + } + } + } + + return true +} diff --git a/src/circl/sign/dilithium/internal/common/pack_test.go b/src/circl/sign/dilithium/internal/common/pack_test.go new file mode 100644 index 00000000000..561d41ec2bb --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/pack_test.go @@ -0,0 +1,45 @@ +package common + +import ( + "math/rand" + "testing" +) + +func TestPackLe16AgainstGeneric(t *testing.T) { + var p Poly + var buf1, buf2 [PolyLe16Size]byte + for j := 0; j < 1000; j++ { + for i := 0; i < 256; i++ { + p[i] = uint32(rand.Intn(16)) + } + p.PackLe16(buf1[:]) + p.packLe16Generic(buf2[:]) + if buf1 != buf2 { + t.Fatal() + } + } +} + +func BenchmarkPackLe16(b *testing.B) { + var p Poly + var buf [PolyLe16Size]byte + for i := 0; i < b.N; i++ { + p.PackLe16(buf[:]) + } +} + +func BenchmarkPackLe16Generic(b *testing.B) { + var p Poly + var buf [PolyLe16Size]byte + for i := 0; i < b.N; i++ { + p.packLe16Generic(buf[:]) + } +} + +func BenchmarkUnpackLeGamma1(b *testing.B) { + var p Poly + var buf [PolyLeGamma1Size]byte + for i := 0; i < b.N; i++ { + p.UnpackLeGamma1(buf[:]) + } +} diff --git a/src/circl/sign/dilithium/internal/common/params.go b/src/circl/sign/dilithium/internal/common/params.go new file mode 100644 index 00000000000..24589161dd7 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/params.go @@ -0,0 +1,22 @@ +package common + +import ( + "circl/sign/dilithium/internal/common/params" +) + +const ( + SeedSize = params.SeedSize + N = params.N + Q = params.Q + QBits = params.QBits + Qinv = params.Qinv + ROver256 = params.ROver256 + D = params.D + Gamma1 = params.Gamma1 + Gamma2 = params.Gamma2 + Alpha = params.Alpha + PolyT1Size = params.PolyT1Size + PolyT0Size = params.PolyT0Size + PolyLeGamma1Size = params.PolyLeGamma1Size + PolyLe16Size = params.PolyLe16Size +) diff --git a/src/circl/sign/dilithium/internal/common/params/params.go b/src/circl/sign/dilithium/internal/common/params/params.go new file mode 100644 index 00000000000..1c1219ade67 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/params/params.go @@ -0,0 +1,31 @@ +package params + +// We put these parameters in a separate package so that the Go code, +// such as ntt_amd64_src.go, that generates assembler can import it. + +const ( + SeedSize = 32 + N = 256 + Q = 8380417 // 2²³ - 2¹³ + 1 + QBits = 23 + Qinv = 4236238847 // = -(q^-1) mod 2³² + ROver256 = 41978 // = (256)⁻¹ R², where R = q mod 2³² + D = 14 + Gamma1 = (Q - 1) / 16 + Gamma2 = Gamma1 / 2 // = Alpha/2 + Alpha = 2 * Gamma2 // = Gamma1 + + // Size of T1 packed. (Note that the formula is not valid in general, + // but it is for the parameters used in the modes of Dilithium.) + PolyT1Size = (N * (QBits - D)) / 8 + + // Size of T0 packed. (Note that the formula is not valid in general, + // but it is for the parameters used in the modes of Dilithium.) + PolyT0Size = (N * D) / 8 + + // Size of a packed polynomial of norm <γ₁. + PolyLeGamma1Size = (N * (QBits - 3)) / 8 + + // Size of a packed polynomial whose coefficients are in [0,16). + PolyLe16Size = N / 2 +) diff --git a/src/circl/sign/dilithium/internal/common/poly.go b/src/circl/sign/dilithium/internal/common/poly.go new file mode 100644 index 00000000000..eae4e5c3aa6 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/poly.go @@ -0,0 +1,148 @@ +package common + +// An element of our base ring R which are polynomials over Z_q modulo +// the equation Xᴺ = -1, where q=2²³ - 2¹³ + 1 and N=256. +// +// Coefficients aren't always reduced. See Normalize(). +type Poly [N]uint32 + +// Reduces each of the coefficients to <2q. +func (p *Poly) reduceLe2QGeneric() { + for i := uint(0); i < N; i++ { + p[i] = reduceLe2Q(p[i]) + } +} + +// Reduce each of the coefficients to > 31) + // Sets x to {0, 1, ..., (Q-1)/2, (Q-1)/2, ..., 1} + x = int32((Q-1)/2) - x + if uint32(x) >= bound { + return true + } + } + return false +} + +// Splits each of the coefficients using decompose. +// +// Requires p to be normalized. +func (p *Poly) decomposeGeneric(p0PlusQ, p1 *Poly) { + for i := 0; i < N; i++ { + p0PlusQ[i], p1[i] = decompose(p[i]) + } +} + +// Splits p into p1 and p0 such that [i]p1 * 2ᴰ + [i]p0 = [i]p +// with -2ᴰ⁻¹ < [i]p0 ≤ 2ᴰ⁻¹. Returns p0 + Q and p1. +// +// Requires the coefficients of p to be normalized. +func (p *Poly) Power2Round(p0PlusQ, p1 *Poly) { + for i := 0; i < N; i++ { + p0PlusQ[i], p1[i] = power2round(p[i]) + } +} + +// Sets p to the hint polynomial for p0 the modified low bits and p1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint polynomial. +func (p *Poly) makeHintGeneric(p0, p1 *Poly) (pop uint32) { + for i := 0; i < N; i++ { + h := makeHint(p0[i], p1[i]) + pop += h + p[i] = h + } + return +} + +// Computes corrections to the high bits of the polynomial q according +// to the hints in h and sets p to the corrected high bits. Returns p. +func (p *Poly) UseHint(q, hint *Poly) *Poly { + var q0PlusQ Poly + + // See useHint() and makeHint() for an explanation. We reimplement it + // here so that we can call Poly.Decompose(), which might be way faster + // than calling decompose() in a loop (for instance when having AVX2.) + + q.Decompose(&q0PlusQ, p) + + for i := 0; i < N; i++ { + if hint[i] == 0 { + continue + } + if q0PlusQ[i] > Q { + p[i] = (p[i] + 1) & 15 + } else { + p[i] = (p[i] - 1) & 15 + } + } + + return p +} + +// Sets p to the polynomial whose coefficients are the pointwise multiplication +// of those of a and b. The coefficients of p are bounded by 2q. +// +// Assumes a and b are in Montgomery form and that the pointwise product +// of each coefficient is below 2³² q. +func (p *Poly) mulHatGeneric(a, b *Poly) { + for i := 0; i < N; i++ { + p[i] = montReduceLe2Q(uint64(a[i]) * uint64(b[i])) + } +} + +// Sets p to 2ᵈ q without reducing. +// +// So it requires the coefficients of p to be less than 2³²⁻ᴰ. +func (p *Poly) mulBy2toDGeneric(q *Poly) { + for i := 0; i < N; i++ { + p[i] = q[i] << D + } +} diff --git a/src/circl/sign/dilithium/internal/common/poly_test.go b/src/circl/sign/dilithium/internal/common/poly_test.go new file mode 100644 index 00000000000..350de0c2a51 --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/poly_test.go @@ -0,0 +1,298 @@ +package common + +import ( + "math/rand" + "testing" +) + +func TestExceeds(t *testing.T) { + for i := 0; i < N; i++ { + var p Poly + for v := 0; v < 10; v++ { + p[i] = uint32(v) + if p.Exceeds(uint32(10)) { + t.Fatal() + } + p[i] = Q - uint32(v) + if p.Exceeds(uint32(10)) { + t.Fatal() + } + } + for v := 10; v < 20; v++ { + p[i] = uint32(v) + if !p.Exceeds(uint32(10)) { + t.Fatal() + } + p[i] = Q - uint32(v) + if !p.Exceeds(uint32(10)) { + t.Fatal() + } + } + } +} + +func TestMakeHintAgainstGeneric(t *testing.T) { + var p0, p1, h1, h2 Poly + for i := 0; i < 255; i++ { + if i&3 == 1 { + p0[i] = Gamma2 / 2 + } else if i&3 == 2 { + p0[i] = Q - Gamma2/2 + } else if i&3 == 0 { + p0[i] = Q - Gamma2 + } else { + p0[i] = 2 * Gamma2 + } + + if (i>>2)&1 == 1 { + p1[i] = 1234 + } else { + p1[i] = 0 + } + } + + pop1 := h1.makeHintGeneric(&p0, &p1) + pop2 := h2.MakeHint(&p0, &p1) + if h1 != h2 { + t.Fatal() + } + if pop1 != pop2 { + t.Fatal() + } +} + +func TestComposeAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p, a0, b0, a1, b1 Poly + p.RandLe2Q() + p.Normalize() + p.Decompose(&a0, &a1) + p.decomposeGeneric(&b0, &b1) + if a0 != b0 && a1 != b1 { + t.Fatal() + } + } +} + +func TestSubAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a, b Poly + a.RandLe2Q() + b.RandLe2Q() + p1.Sub(&a, &b) + p2.subGeneric(&a, &b) + if p1 != p2 { + t.Fatalf("Sub(%v, %v) =\n%v\n!= %v", a, b, p1, p2) + } + } +} + +func TestAddAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a, b Poly + a.RandLe2Q() + b.RandLe2Q() + p1.Add(&a, &b) + p2.addGeneric(&a, &b) + if p1 != p2 { + t.Fatalf("Add(%v, %v) =\n%v\n!= %v", a, b, p1, p2) + } + } +} + +func TestMulHatAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a, b Poly + a.RandLe2Q() + b.RandLe2Q() + p1.MulHat(&a, &b) + p2.mulHatGeneric(&a, &b) + if p1 != p2 { + t.Fatalf("MulHat(%v, %v) =\n%v\n!= %v", a, b, p1, p2) + } + } +} + +func TestReduceLe2QAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var a Poly + for j := 0; j < N; j++ { + a[j] = rand.Uint32() + } + p1 := a + p2 := a + p1.reduceLe2QGeneric() + p2.ReduceLe2Q() + if p1 != p2 { + t.Fatalf("%v !=\n%v", p1, p2) + } + } +} + +func TestNormalizeAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var a Poly + for j := 0; j < N; j++ { + a[j] = rand.Uint32() + } + p1 := a + p2 := a + p1.normalizeGeneric() + p2.Normalize() + if p1 != p2 { + t.Fatalf("%v !=\n%v", p1, p2) + } + } +} + +func TestMulBy2ToDAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, q Poly + q.RandLe2Q() + p1.mulBy2toDGeneric(&q) + p2.MulBy2toD(&q) + if p1 != p2 { + t.Fatalf("MulBy2ToD(%v) =\n%v\n!= %v", q, p1, p2) + } + } +} + +func BenchmarkNormalizeGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.normalizeGeneric() + } +} + +func BenchmarkMulHatGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.mulHatGeneric(&p, &p) + } +} + +func BenchmarkAddGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.addGeneric(&p, &p) + } +} + +func BenchmarkSubGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.subGeneric(&p, &p) + } +} + +func BenchmarkReduceLe2QGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.reduceLe2QGeneric() + } +} + +func BenchmarkNormalizeAssumingLe2QGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.normalizeAssumingLe2QGeneric() + } +} + +func BenchmarkExceedsGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.exceedsGeneric(uint32(10)) + } +} + +func BenchmarkDecomposeGeneric(b *testing.B) { + var p, p0, p1 Poly + for i := 0; i < b.N; i++ { + p.decomposeGeneric(&p0, &p1) + } +} + +func BenchmarkMakeHintGeneric(b *testing.B) { + var p, p0, p1 Poly + for i := 0; i < b.N; i++ { + p.makeHintGeneric(&p0, &p1) + } +} + +func BenchmarkMulBy2toDGeneric(b *testing.B) { + var p, q Poly + for i := 0; i < b.N; i++ { + p.mulBy2toDGeneric(&q) + } +} + +func BenchmarkMulHat(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.MulHat(&p, &p) + } +} + +func BenchmarkAdd(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.Add(&p, &p) + } +} + +func BenchmarkSub(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.Sub(&p, &p) + } +} + +func BenchmarkReduceLe2Q(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.ReduceLe2Q() + } +} + +func BenchmarkNormalize(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.Normalize() + } +} + +func BenchmarkNormalizeAssumingLe2Q(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.NormalizeAssumingLe2Q() + } +} + +func BenchmarkExceeds(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.Exceeds(uint32(10)) + } +} + +func BenchmarkDecompose(b *testing.B) { + var p, p0, p1 Poly + for i := 0; i < b.N; i++ { + p.Decompose(&p0, &p1) + } +} + +func BenchmarkMakeHint(b *testing.B) { + var p, p0, p1 Poly + for i := 0; i < b.N; i++ { + p.MakeHint(&p0, &p1) + } +} + +func BenchmarkMulBy2toD(b *testing.B) { + var p, q Poly + for i := 0; i < b.N; i++ { + p.MulBy2toD(&q) + } +} diff --git a/src/circl/sign/dilithium/internal/common/stubs_amd64.go b/src/circl/sign/dilithium/internal/common/stubs_amd64.go new file mode 100644 index 00000000000..a731af9421b --- /dev/null +++ b/src/circl/sign/dilithium/internal/common/stubs_amd64.go @@ -0,0 +1,41 @@ +// Code generated by command: go run src.go -out ../amd64.s -stubs ../stubs_amd64.go -pkg common. DO NOT EDIT. + +// +build amd64 + +package common + +//go:noescape +func nttAVX2(p *[256]uint32) + +//go:noescape +func invNttAVX2(p *[256]uint32) + +//go:noescape +func mulHatAVX2(p *[256]uint32, a *[256]uint32, b *[256]uint32) + +//go:noescape +func addAVX2(p *[256]uint32, a *[256]uint32, b *[256]uint32) + +//go:noescape +func subAVX2(p *[256]uint32, a *[256]uint32, b *[256]uint32) + +//go:noescape +func packLe16AVX2(p *[256]uint32, buf *byte) + +//go:noescape +func reduceLe2QAVX2(p *[256]uint32) + +//go:noescape +func le2qModQAVX2(p *[256]uint32) + +//go:noescape +func exceedsAVX2(p *[256]uint32, bound uint32) uint8 + +//go:noescape +func decomposeAVX2(p *[256]uint32, p0PlusQ *[256]uint32, p1 *[256]uint32) + +//go:noescape +func makeHintAVX2(p *[256]uint32, p0 *[256]uint32, p1 *[256]uint32) uint32 + +//go:noescape +func mulBy2toDAVX2(p *[256]uint32, q *[256]uint32) diff --git a/src/circl/sign/dilithium/kat_test.go b/src/circl/sign/dilithium/kat_test.go new file mode 100644 index 00000000000..0b19bd67c06 --- /dev/null +++ b/src/circl/sign/dilithium/kat_test.go @@ -0,0 +1,117 @@ +package dilithium + +// Code to generate the NIST "PQCsignKAT" test vectors. +// See PQCsignKAT_sign.c and randombytes.c in the reference implementation. + +import ( + "crypto/aes" + "crypto/sha256" + "fmt" + "testing" +) + +// See NIST's PQCgenKAT.c. +type DRBG struct { + key [32]byte + v [16]byte +} + +func (g *DRBG) incV() { + for j := 15; j >= 0; j-- { + if g.v[j] == 255 { + g.v[j] = 0 + } else { + g.v[j]++ + break + } + } +} + +// AES256_CTR_DRBG_Update(pd, &g.key, &g.v). +func (g *DRBG) update(pd *[48]byte) { + var buf [48]byte + b, _ := aes.NewCipher(g.key[:]) + for i := 0; i < 3; i++ { + g.incV() + b.Encrypt(buf[i*16:(i+1)*16], g.v[:]) + } + if pd != nil { + for i := 0; i < 48; i++ { + buf[i] ^= pd[i] + } + } + copy(g.key[:], buf[:32]) + copy(g.v[:], buf[32:]) +} + +// randombyte_init(seed, NULL, 256). +func NewDRBG(seed *[48]byte) (g DRBG) { + g.update(seed) + return +} + +// randombytes. +func (g *DRBG) Fill(x []byte) { + var block [16]byte + + b, _ := aes.NewCipher(g.key[:]) + for len(x) > 0 { + g.incV() + b.Encrypt(block[:], g.v[:]) + if len(x) < 16 { + copy(x[:], block[:len(x)]) + break + } + copy(x[:], block[:]) + x = x[16:] + } + g.update(nil) +} + +func TestPQCgenKATSign(t *testing.T) { + // From SHA256SUMS in the reference implementation. + testPQCgenKATSign(t, "Dilithium1", "dd83f8584fded0398547827edff081969335c32069f3e4a9dbd865fd5c2ecd2b") + testPQCgenKATSign(t, "Dilithium2", "532f4a7a416bba96b607395a6d07fc0eaab1f1f968e49758d2a97c718de832e7") + testPQCgenKATSign(t, "Dilithium3", "37a16744627f2566180a547d022f03a36d22c50080303027179751070e626c72") + testPQCgenKATSign(t, "Dilithium4", "4c2e6d7c8675e9345e3ab7036a4e9fb786549d242462ba9b68f58db94e84147a") + testPQCgenKATSign(t, "Dilithium1-AES", "68fabe91565c9a664d2461c7510ac32419eadfac0566dc3e9141d276bb98e11a") + testPQCgenKATSign(t, "Dilithium2-AES", "08865a608edcdb5723769c583b37c17c9ff8cae578f1d88df7e173ed06dd23fa") + testPQCgenKATSign(t, "Dilithium3-AES", "f3c5fcceafa9fb2462721f272791a26c9a123b3a07fad7e07dfec232085fdd7f") + testPQCgenKATSign(t, "Dilithium4-AES", "8de4e2ac2032f714263aa0d045275ec62b6f192f8828cfe82b63ec0b0b32deb6") +} + +func testPQCgenKATSign(t *testing.T, name, expected string) { + mode := ModeByName(name) + if mode == nil { + t.Fatal() + } + + var seed [48]byte + var eseed [96]byte + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + f := sha256.New() + g := NewDRBG(&seed) + fmt.Fprintf(f, "# %s\n\n", name) + for i := 0; i < 100; i++ { + mlen := 33 * (i + 1) + g.Fill(seed[:]) + msg := make([]byte, mlen) + g.Fill(msg[:]) + fmt.Fprintf(f, "count = %d\n", i) + fmt.Fprintf(f, "seed = %X\n", seed) + fmt.Fprintf(f, "mlen = %d\n", mlen) + fmt.Fprintf(f, "msg = %X\n", msg) + g2 := NewDRBG(&seed) + g2.Fill(eseed[:]) + pk, sk := mode.NewKeyFromExpandedSeed(&eseed) + fmt.Fprintf(f, "pk = %X\n", pk.Bytes()) + fmt.Fprintf(f, "sk = %X\n", sk.Bytes()) + fmt.Fprintf(f, "smlen = %d\n", mlen+mode.SignatureSize()) + fmt.Fprintf(f, "sm = %X%X\n\n", mode.Sign(sk, msg[:]), msg) + } + if fmt.Sprintf("%x", f.Sum(nil)) != expected { + t.Fatal() + } +} diff --git a/src/circl/sign/dilithium/mode1.go b/src/circl/sign/dilithium/mode1.go new file mode 100644 index 00000000000..89ee1a620e7 --- /dev/null +++ b/src/circl/sign/dilithium/mode1.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode1" +) + +// implMode1 implements the mode.Mode interface for Dilithium1. +type implMode1 struct{} + +// Mode1 is Dilithium in mode "Dilithium1". +var Mode1 Mode = &implMode1{} + +func (m *implMode1) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode1.GenerateKey(rand) +} + +func (m *implMode1) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode1.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode1) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode1.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode1) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode1.PrivateKey) + ret := [mode1.SignatureSize]byte{} + mode1.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode1) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode1.PublicKey) + return mode1.Verify(ipk, msg, signature) +} + +func (m *implMode1) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode1.PublicKey + if len(data) != mode1.PublicKeySize { + panic("packed public key must be of mode1.PublicKeySize bytes") + } + var buf [mode1.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode1) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode1.PrivateKey + if len(data) != mode1.PrivateKeySize { + panic("packed public key must be of mode1.PrivateKeySize bytes") + } + var buf [mode1.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode1) SeedSize() int { + return common.SeedSize +} + +func (m *implMode1) PublicKeySize() int { + return mode1.PublicKeySize +} + +func (m *implMode1) PrivateKeySize() int { + return mode1.PrivateKeySize +} + +func (m *implMode1) SignatureSize() int { + return mode1.SignatureSize +} + +func (m *implMode1) Name() string { + return "Dilithium1" +} + +func init() { + modes["Dilithium1"] = Mode1 +} diff --git a/src/circl/sign/dilithium/mode1/dilithium.go b/src/circl/sign/dilithium/mode1/dilithium.go new file mode 100644 index 00000000000..753ab74424a --- /dev/null +++ b/src/circl/sign/dilithium/mode1/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode1 implements the CRYSTALS-Dilithium signature scheme Dilithium1 +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode1 + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode1/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium1 public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium1 private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode1.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode1.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode1/internal/dilithium.go b/src/circl/sign/dilithium/mode1/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode1/internal/dilithium_test.go b/src/circl/sign/dilithium/mode1/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode1/internal/mat.go b/src/circl/sign/dilithium/mode1/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode1/internal/pack.go b/src/circl/sign/dilithium/mode1/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode1/internal/pack_test.go b/src/circl/sign/dilithium/mode1/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode1/internal/params.go b/src/circl/sign/dilithium/mode1/internal/params.go new file mode 100644 index 00000000000..28e49b4dc39 --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium1" + UseAES = false + PublicKeySize = 896 + PrivateKeySize = 2096 + SignatureSize = 1387 + K = 3 + L = 2 + Eta = 7 + DoubleEtaBits = 4 + Beta = 375 + Omega = 64 +) diff --git a/src/circl/sign/dilithium/mode1/internal/params_test.go b/src/circl/sign/dilithium/mode1/internal/params_test.go new file mode 100644 index 00000000000..65b2af1e26f --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/params_test.go @@ -0,0 +1,51 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 3, 0, 2, 3, 8380412, 8380414, 2, 2, 8380415, 8380416, + 8380416, 1, 7, 8380411, 4, 7, 2, 8380414, 8380412, 0, 3, + 8380413, 4, 8380410, 8380414, 8380410, 8380413, 8380412, + 8380410, 8380410, 7, 3, 8380412, 3, 8380411, 8380414, 7, + 8380415, 1, 8380416, 7, 8380414, 2, 4, 7, 8380416, 4, 5, + 5, 2, 1, 8380411, 7, 3, 4, 8380416, 8380415, 2, 2, 8380410, + 7, 5, 0, 8380411, 8380416, 7, 8380412, 5, 8380411, 5, 4, + 1, 4, 2, 8380414, 8380416, 3, 4, 8380414, 8380410, 8380414, + 7, 8380415, 8380412, 8380411, 6, 8380415, 8380410, 8380413, + 0, 8380416, 8380412, 8380411, 6, 8380415, 8380410, 8380410, + 8380413, 7, 8380415, 3, 1, 0, 8380414, 4, 8380410, 8380412, + 5, 6, 0, 1, 8380410, 8380413, 8380410, 6, 8380411, 0, + 8380415, 3, 8380411, 2, 3, 6, 8380410, 8380410, 0, 0, 6, + 8380414, 0, 6, 8380411, 8380412, 8380412, 5, 7, 2, 8380413, + 8380410, 0, 0, 4, 0, 5, 8380416, 1, 5, 7, 7, 8380410, 2, + 0, 8380412, 6, 5, 4, 8380411, 0, 0, 7, 8380414, 8380416, + 8380410, 4, 0, 8380411, 8380410, 8380413, 8380414, 3, + 8380413, 8380414, 8380415, 7, 8380411, 8380414, 8380410, + 5, 6, 8380410, 6, 8380415, 4, 0, 0, 8380416, 8380415, + 8380415, 8380415, 4, 8380410, 8380411, 8380415, 8380412, + 6, 1, 4, 1, 2, 8380411, 0, 8380416, 4, 8380414, 8380416, + 6, 5, 1, 3, 8380414, 4, 8380414, 8380414, 3, 2, 2, 8380413, + 2, 8380412, 0, 8380416, 8380415, 8380414, 0, 3, 8380413, + 3, 8380410, 7, 8380410, 8380414, 8380412, 1, 4, 2, 8380415, + 2, 8380410, 8380410, 8380410, 4, 8380413, 4, 4, 0, 3, + 8380410, 5, 8380413, 8380414, 8380415, 4, 1, 8380410, 7, + 8380413, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode1/internal/sample.go b/src/circl/sign/dilithium/mode1/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode1/internal/sample_test.go b/src/circl/sign/dilithium/mode1/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode1/internal/vec.go b/src/circl/sign/dilithium/mode1/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode1/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/dilithium/mode1aes.go b/src/circl/sign/dilithium/mode1aes.go new file mode 100644 index 00000000000..5af1f7c0e4b --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode1aes" +) + +// implMode1AES implements the mode.Mode interface for Dilithium1-AES. +type implMode1AES struct{} + +// Mode1AES is Dilithium in mode "Dilithium1-AES". +var Mode1AES Mode = &implMode1AES{} + +func (m *implMode1AES) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode1aes.GenerateKey(rand) +} + +func (m *implMode1AES) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode1aes.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode1AES) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode1aes.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode1AES) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode1aes.PrivateKey) + ret := [mode1aes.SignatureSize]byte{} + mode1aes.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode1AES) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode1aes.PublicKey) + return mode1aes.Verify(ipk, msg, signature) +} + +func (m *implMode1AES) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode1aes.PublicKey + if len(data) != mode1aes.PublicKeySize { + panic("packed public key must be of mode1aes.PublicKeySize bytes") + } + var buf [mode1aes.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode1AES) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode1aes.PrivateKey + if len(data) != mode1aes.PrivateKeySize { + panic("packed public key must be of mode1aes.PrivateKeySize bytes") + } + var buf [mode1aes.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode1AES) SeedSize() int { + return common.SeedSize +} + +func (m *implMode1AES) PublicKeySize() int { + return mode1aes.PublicKeySize +} + +func (m *implMode1AES) PrivateKeySize() int { + return mode1aes.PrivateKeySize +} + +func (m *implMode1AES) SignatureSize() int { + return mode1aes.SignatureSize +} + +func (m *implMode1AES) Name() string { + return "Dilithium1-AES" +} + +func init() { + modes["Dilithium1-AES"] = Mode1AES +} diff --git a/src/circl/sign/dilithium/mode1aes/dilithium.go b/src/circl/sign/dilithium/mode1aes/dilithium.go new file mode 100644 index 00000000000..f6cf74ef011 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode1aes implements the CRYSTALS-Dilithium signature scheme Dilithium1-AES +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode1aes + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode1aes/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium1-AES public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium1-AES private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode1aes.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode1aes.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/dilithium.go b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/mat.go b/src/circl/sign/dilithium/mode1aes/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/pack.go b/src/circl/sign/dilithium/mode1aes/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/pack_test.go b/src/circl/sign/dilithium/mode1aes/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/params.go b/src/circl/sign/dilithium/mode1aes/internal/params.go new file mode 100644 index 00000000000..d97f6b84464 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium1-AES" + UseAES = true + PublicKeySize = 896 + PrivateKeySize = 2096 + SignatureSize = 1387 + K = 3 + L = 2 + Eta = 7 + DoubleEtaBits = 4 + Beta = 375 + Omega = 64 +) diff --git a/src/circl/sign/dilithium/mode1aes/internal/params_test.go b/src/circl/sign/dilithium/mode1aes/internal/params_test.go new file mode 100644 index 00000000000..cb64178d507 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/params_test.go @@ -0,0 +1,48 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 4, 8380412, 8380414, 8380415, 1, 1, 0, 6, 8380412, 8380413, 3, + 7, 3, 8380415, 8380414, 7, 8380414, 1, 0, 8380414, 8380411, 6, + 3, 3, 8380416, 8380415, 8380411, 8380415, 1, 6, 0, 6, 0, 1, + 8380414, 4, 8380414, 6, 4, 8380413, 1, 7, 0, 8380411, 8380411, + 8380414, 8380412, 2, 8380410, 5, 1, 7, 1, 6, 8380413, 5, 8380415, + 6, 8380414, 3, 4, 8380413, 8380415, 8380412, 1, 8380411, 8380411, + 8380415, 5, 7, 8380415, 8380413, 8380416, 8380412, 8380411, + 8380416, 4, 2, 8380414, 6, 8380414, 3, 8380414, 8380412, 8380415, + 8380410, 8380412, 2, 8380415, 8380415, 6, 3, 2, 8380415, 0, 6, + 2, 8380410, 8380416, 8380415, 5, 4, 6, 8380412, 8380414, 0, 2, + 8380410, 8380416, 7, 6, 8380415, 8380413, 8380411, 8380413, 3, + 3, 8380412, 8380416, 0, 5, 5, 5, 5, 8380414, 8380413, 2, 0, 5, + 8380410, 8380416, 8380414, 8380412, 8380413, 8380416, 8380414, + 8380413, 4, 8380414, 1, 8380411, 5, 8380414, 4, 2, 5, 3, 8380412, + 2, 8380412, 8380410, 8380413, 5, 8380415, 2, 8380416, 4, 8380410, + 8380412, 8380412, 4, 2, 7, 1, 8380416, 7, 6, 2, 0, 3, 8380413, + 5, 7, 7, 1, 5, 8380412, 6, 2, 8380412, 2, 5, 2, 2, 8380412, 5, + 7, 8380414, 8380416, 8380414, 7, 5, 8380410, 1, 7, 7, 6, 1, 3, + 8380410, 7, 7, 8380413, 8380411, 3, 7, 8380413, 5, 8380416, 3, + 3, 0, 8380413, 0, 4, 8380411, 4, 8380416, 2, 8380410, 8380413, + 8380415, 8380412, 8380413, 5, 8380416, 7, 8380415, 2, 6, 2, 1, + 1, 5, 3, 8380414, 4, 8380411, 8380415, 8380415, 8380412, 2, + 8380416, 6, 4, 8380410, 8380411, 8380410, 7, 4, 2, 3, 8380414, + 8380414, 8380413, 8380410, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/sample.go b/src/circl/sign/dilithium/mode1aes/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/sample_test.go b/src/circl/sign/dilithium/mode1aes/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/vec.go b/src/circl/sign/dilithium/mode1aes/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode1aes/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/dilithium/mode2.go b/src/circl/sign/dilithium/mode2.go new file mode 100644 index 00000000000..a2d7c895c6e --- /dev/null +++ b/src/circl/sign/dilithium/mode2.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode2" +) + +// implMode2 implements the mode.Mode interface for Dilithium2. +type implMode2 struct{} + +// Mode2 is Dilithium in mode "Dilithium2". +var Mode2 Mode = &implMode2{} + +func (m *implMode2) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode2.GenerateKey(rand) +} + +func (m *implMode2) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode2.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode2) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode2.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode2) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode2.PrivateKey) + ret := [mode2.SignatureSize]byte{} + mode2.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode2) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode2.PublicKey) + return mode2.Verify(ipk, msg, signature) +} + +func (m *implMode2) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode2.PublicKey + if len(data) != mode2.PublicKeySize { + panic("packed public key must be of mode2.PublicKeySize bytes") + } + var buf [mode2.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode2) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode2.PrivateKey + if len(data) != mode2.PrivateKeySize { + panic("packed public key must be of mode2.PrivateKeySize bytes") + } + var buf [mode2.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode2) SeedSize() int { + return common.SeedSize +} + +func (m *implMode2) PublicKeySize() int { + return mode2.PublicKeySize +} + +func (m *implMode2) PrivateKeySize() int { + return mode2.PrivateKeySize +} + +func (m *implMode2) SignatureSize() int { + return mode2.SignatureSize +} + +func (m *implMode2) Name() string { + return "Dilithium2" +} + +func init() { + modes["Dilithium2"] = Mode2 +} diff --git a/src/circl/sign/dilithium/mode2/dilithium.go b/src/circl/sign/dilithium/mode2/dilithium.go new file mode 100644 index 00000000000..b31ce924ba6 --- /dev/null +++ b/src/circl/sign/dilithium/mode2/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode2 implements the CRYSTALS-Dilithium signature scheme Dilithium2 +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode2 + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode2/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium2 public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium2 private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode2.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode2.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode2/internal/dilithium.go b/src/circl/sign/dilithium/mode2/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode2/internal/dilithium_test.go b/src/circl/sign/dilithium/mode2/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode2/internal/mat.go b/src/circl/sign/dilithium/mode2/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode2/internal/pack.go b/src/circl/sign/dilithium/mode2/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode2/internal/pack_test.go b/src/circl/sign/dilithium/mode2/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode2/internal/params.go b/src/circl/sign/dilithium/mode2/internal/params.go new file mode 100644 index 00000000000..9ae9df1f832 --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium2" + UseAES = false + PublicKeySize = 1184 + PrivateKeySize = 2800 + SignatureSize = 2044 + K = 4 + L = 3 + Eta = 6 + DoubleEtaBits = 4 + Beta = 325 + Omega = 80 +) diff --git a/src/circl/sign/dilithium/mode2/internal/params_test.go b/src/circl/sign/dilithium/mode2/internal/params_test.go new file mode 100644 index 00000000000..5021f8c9f1e --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/params_test.go @@ -0,0 +1,51 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 2, 8380416, 1, 2, 8380411, 8380413, 1, 1, 8380414, 8380415, + 8380415, 0, 6, 3, 6, 1, 8380413, 8380411, 8380416, 2, + 8380412, 3, 8380413, 8380412, 8380411, 6, 2, 8380411, 2, + 8380413, 6, 8380414, 0, 8380415, 6, 8380413, 1, 3, 6, + 8380415, 3, 4, 4, 1, 0, 6, 2, 3, 8380415, 8380414, 1, 1, + 6, 4, 8380416, 8380415, 6, 8380411, 4, 4, 3, 0, 3, 1, + 8380413, 8380415, 2, 3, 8380413, 8380413, 6, 8380414, + 8380411, 5, 8380414, 8380412, 8380416, 8380415, 8380411, + 5, 8380414, 8380412, 6, 8380414, 2, 0, 8380416, 8380413, + 3, 8380411, 4, 5, 8380416, 0, 8380412, 5, 8380416, 8380414, + 2, 1, 2, 5, 8380416, 8380416, 5, 8380413, 8380416, 5, + 8380411, 8380411, 4, 6, 1, 8380412, 8380416, 8380416, 3, + 8380416, 4, 8380415, 0, 4, 6, 6, 1, 8380416, 8380411, 5, + 4, 3, 8380416, 8380416, 6, 8380413, 8380415, 3, 8380416, + 8380412, 8380413, 2, 8380412, 8380413, 8380414, 6, 8380413, + 4, 5, 5, 8380414, 3, 8380416, 8380416, 8380415, 8380414, + 8380414, 8380414, 3, 8380414, 8380411, 5, 0, 3, 0, 1, + 8380416, 8380415, 3, 8380413, 8380415, 5, 4, 0, 2, 8380413, + 3, 8380413, 8380413, 2, 1, 1, 8380412, 1, 8380411, 8380416, + 8380415, 8380414, 8380413, 8380416, 2, 8380412, 2, 6, + 8380413, 8380411, 0, 3, 1, 8380414, 1, 3, 8380412, 3, 3, + 8380416, 2, 4, 8380412, 8380413, 8380414, 3, 0, 6, 8380412, + 8380415, 8380416, 5, 5, 0, 6, 8380415, 8380413, 8380414, + 5, 6, 3, 6, 3, 5, 5, 8380415, 6, 4, 8380416, 3, 2, 6, + 8380414, 2, 8380415, 6, 8380412, 8380413, 8380415, 1, 2, + 0, 8380411, 6, 8380413, 6, 8380414, 8380416, 8380415, + 8380414, 1, 8380412, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode2/internal/sample.go b/src/circl/sign/dilithium/mode2/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode2/internal/sample_test.go b/src/circl/sign/dilithium/mode2/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode2/internal/vec.go b/src/circl/sign/dilithium/mode2/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode2/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/dilithium/mode2aes.go b/src/circl/sign/dilithium/mode2aes.go new file mode 100644 index 00000000000..32566691932 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode2aes" +) + +// implMode2AES implements the mode.Mode interface for Dilithium2-AES. +type implMode2AES struct{} + +// Mode2AES is Dilithium in mode "Dilithium2-AES". +var Mode2AES Mode = &implMode2AES{} + +func (m *implMode2AES) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode2aes.GenerateKey(rand) +} + +func (m *implMode2AES) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode2aes.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode2AES) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode2aes.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode2AES) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode2aes.PrivateKey) + ret := [mode2aes.SignatureSize]byte{} + mode2aes.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode2AES) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode2aes.PublicKey) + return mode2aes.Verify(ipk, msg, signature) +} + +func (m *implMode2AES) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode2aes.PublicKey + if len(data) != mode2aes.PublicKeySize { + panic("packed public key must be of mode2aes.PublicKeySize bytes") + } + var buf [mode2aes.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode2AES) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode2aes.PrivateKey + if len(data) != mode2aes.PrivateKeySize { + panic("packed public key must be of mode2aes.PrivateKeySize bytes") + } + var buf [mode2aes.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode2AES) SeedSize() int { + return common.SeedSize +} + +func (m *implMode2AES) PublicKeySize() int { + return mode2aes.PublicKeySize +} + +func (m *implMode2AES) PrivateKeySize() int { + return mode2aes.PrivateKeySize +} + +func (m *implMode2AES) SignatureSize() int { + return mode2aes.SignatureSize +} + +func (m *implMode2AES) Name() string { + return "Dilithium2-AES" +} + +func init() { + modes["Dilithium2-AES"] = Mode2AES +} diff --git a/src/circl/sign/dilithium/mode2aes/dilithium.go b/src/circl/sign/dilithium/mode2aes/dilithium.go new file mode 100644 index 00000000000..fab3e2b383c --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode2aes implements the CRYSTALS-Dilithium signature scheme Dilithium2-AES +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode2aes + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode2aes/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium2-AES public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium2-AES private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode2aes.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode2aes.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/dilithium.go b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/mat.go b/src/circl/sign/dilithium/mode2aes/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/pack.go b/src/circl/sign/dilithium/mode2aes/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/pack_test.go b/src/circl/sign/dilithium/mode2aes/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/params.go b/src/circl/sign/dilithium/mode2aes/internal/params.go new file mode 100644 index 00000000000..10859166ef1 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium2-AES" + UseAES = true + PublicKeySize = 1184 + PrivateKeySize = 2800 + SignatureSize = 2044 + K = 4 + L = 3 + Eta = 6 + DoubleEtaBits = 4 + Beta = 325 + Omega = 80 +) diff --git a/src/circl/sign/dilithium/mode2aes/internal/params_test.go b/src/circl/sign/dilithium/mode2aes/internal/params_test.go new file mode 100644 index 00000000000..6a0eab37707 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/params_test.go @@ -0,0 +1,47 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 3, 8380411, 8380413, 8380414, 0, 0, 8380416, 5, 8380411, 8380412, + 2, 6, 2, 8380414, 8380413, 6, 8380413, 0, 8380416, 8380413, 5, + 2, 2, 8380415, 8380414, 8380414, 0, 5, 8380416, 5, 8380416, 0, + 8380413, 3, 8380413, 5, 3, 8380412, 0, 6, 8380416, 8380413, + 8380411, 1, 4, 0, 6, 0, 5, 8380412, 4, 8380414, 5, 8380413, 2, + 3, 8380412, 8380414, 8380411, 0, 8380414, 4, 6, 8380414, 8380412, + 8380415, 8380411, 8380415, 3, 1, 8380413, 5, 8380413, 2, 8380413, + 8380411, 8380414, 8380411, 1, 8380414, 8380414, 5, 2, 1, 8380414, + 8380416, 5, 1, 8380415, 8380414, 4, 3, 5, 8380411, 8380413, + 8380416, 1, 8380415, 6, 5, 8380414, 8380412, 8380412, 2, 2, + 8380411, 8380415, 8380416, 4, 4, 4, 4, 8380413, 8380412, 1, + 8380416, 4, 8380415, 8380413, 8380411, 8380412, 8380415, 8380413, + 8380412, 3, 8380413, 0, 4, 8380413, 3, 1, 4, 2, 8380411, 1, + 8380411, 8380412, 4, 8380414, 1, 8380415, 3, 8380411, 8380411, + 3, 1, 6, 0, 8380415, 6, 5, 1, 8380416, 2, 8380412, 4, 6, 6, 0, + 4, 8380411, 5, 1, 8380411, 1, 4, 1, 1, 8380411, 4, 6, 8380413, + 8380415, 8380413, 6, 4, 0, 6, 6, 5, 0, 2, 6, 6, 8380412, 2, 6, + 8380412, 4, 8380415, 2, 2, 8380416, 8380412, 8380416, 3, 3, + 8380415, 1, 8380412, 8380414, 8380411, 8380412, 4, 8380415, 6, + 8380414, 1, 5, 1, 0, 0, 4, 2, 8380413, 3, 8380414, 8380414, + 8380411, 1, 8380415, 5, 3, 6, 3, 1, 2, 8380413, 8380413, 8380412, + 0, 0, 8380411, 4, 4, 8380411, 2, 4, 5, 8380412, 6, 3, 6, 4, 4, + 8380416, 3, 8380416, 6, 3, 8380411, 4, 5, 4, 8380415, 1, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/sample.go b/src/circl/sign/dilithium/mode2aes/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/sample_test.go b/src/circl/sign/dilithium/mode2aes/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/vec.go b/src/circl/sign/dilithium/mode2aes/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode2aes/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/dilithium/mode3.go b/src/circl/sign/dilithium/mode3.go new file mode 100644 index 00000000000..1c2eefdee99 --- /dev/null +++ b/src/circl/sign/dilithium/mode3.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode3" +) + +// implMode3 implements the mode.Mode interface for Dilithium3. +type implMode3 struct{} + +// Mode3 is Dilithium in mode "Dilithium3". +var Mode3 Mode = &implMode3{} + +func (m *implMode3) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode3.GenerateKey(rand) +} + +func (m *implMode3) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode3.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode3) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode3.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode3) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode3.PrivateKey) + ret := [mode3.SignatureSize]byte{} + mode3.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode3) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode3.PublicKey) + return mode3.Verify(ipk, msg, signature) +} + +func (m *implMode3) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode3.PublicKey + if len(data) != mode3.PublicKeySize { + panic("packed public key must be of mode3.PublicKeySize bytes") + } + var buf [mode3.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode3) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode3.PrivateKey + if len(data) != mode3.PrivateKeySize { + panic("packed public key must be of mode3.PrivateKeySize bytes") + } + var buf [mode3.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode3) SeedSize() int { + return common.SeedSize +} + +func (m *implMode3) PublicKeySize() int { + return mode3.PublicKeySize +} + +func (m *implMode3) PrivateKeySize() int { + return mode3.PrivateKeySize +} + +func (m *implMode3) SignatureSize() int { + return mode3.SignatureSize +} + +func (m *implMode3) Name() string { + return "Dilithium3" +} + +func init() { + modes["Dilithium3"] = Mode3 +} diff --git a/src/circl/sign/dilithium/mode3/dilithium.go b/src/circl/sign/dilithium/mode3/dilithium.go new file mode 100644 index 00000000000..dde378bd75e --- /dev/null +++ b/src/circl/sign/dilithium/mode3/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode3 implements the CRYSTALS-Dilithium signature scheme Dilithium3 +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode3 + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode3/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium3 public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium3 private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode3.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode3.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode3/internal/dilithium.go b/src/circl/sign/dilithium/mode3/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode3/internal/dilithium_test.go b/src/circl/sign/dilithium/mode3/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode3/internal/mat.go b/src/circl/sign/dilithium/mode3/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode3/internal/pack.go b/src/circl/sign/dilithium/mode3/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode3/internal/pack_test.go b/src/circl/sign/dilithium/mode3/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode3/internal/params.go b/src/circl/sign/dilithium/mode3/internal/params.go new file mode 100644 index 00000000000..8de4e19aab6 --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium3" + UseAES = false + PublicKeySize = 1472 + PrivateKeySize = 3504 + SignatureSize = 2701 + K = 5 + L = 4 + Eta = 5 + DoubleEtaBits = 4 + Beta = 275 + Omega = 96 +) diff --git a/src/circl/sign/dilithium/mode3/internal/params_test.go b/src/circl/sign/dilithium/mode3/internal/params_test.go new file mode 100644 index 00000000000..4a6cf34dbcf --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/params_test.go @@ -0,0 +1,50 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 1, 8380415, 0, 1, 8380412, 0, 0, 8380413, 8380414, 8380414, + 8380416, 5, 2, 5, 0, 8380412, 8380415, 1, 2, 8380412, 5, + 1, 1, 8380412, 5, 8380413, 8380416, 8380414, 5, 8380412, + 0, 2, 5, 8380414, 2, 3, 3, 0, 8380416, 5, 1, 2, 8380414, + 8380413, 0, 0, 5, 3, 8380415, 8380414, 5, 3, 3, 2, 8380416, + 2, 0, 8380412, 8380414, 1, 2, 8380412, 8380412, 5, 8380413, + 4, 8380413, 8380415, 8380414, 4, 8380413, 5, 8380413, 1, + 8380416, 8380415, 8380412, 2, 3, 4, 8380415, 8380416, 4, + 8380415, 8380413, 1, 0, 1, 4, 8380415, 8380415, 4, 8380412, + 8380415, 4, 3, 5, 0, 8380415, 8380415, 2, 8380415, 3, + 8380414, 8380416, 3, 5, 5, 0, 8380415, 4, 3, 2, 8380415, + 8380415, 5, 8380412, 8380414, 2, 8380415, 8380412, 1, + 8380412, 8380413, 5, 8380412, 3, 4, 4, 8380413, 2, 8380415, + 8380415, 8380414, 8380413, 8380413, 8380413, 2, 8380413, + 4, 8380416, 2, 8380416, 0, 8380415, 8380414, 2, 8380412, + 8380414, 4, 3, 8380416, 1, 8380412, 2, 8380412, 8380412, + 1, 0, 0, 0, 8380415, 8380414, 8380413, 8380412, 8380415, + 1, 1, 5, 8380412, 8380416, 2, 0, 8380413, 0, 2, 2, 2, + 8380415, 1, 3, 8380412, 8380413, 2, 8380416, 5, 8380414, + 8380415, 4, 4, 8380416, 5, 8380414, 8380412, 8380413, 4, + 5, 2, 5, 2, 4, 4, 8380414, 5, 3, 8380415, 2, 1, 5, 8380413, + 1, 8380414, 5, 8380412, 8380414, 0, 1, 8380416, 5, 8380412, + 5, 8380413, 8380415, 8380414, 8380413, 0, 5, 1, 8380412, + 8380415, 8380412, 8380416, 5, 2, 0, 3, 0, 4, 0, 8380416, + 0, 8380413, 2, 0, 8380416, 8380416, 8380412, 3, 8380412, + 1, 2, 8380414, 3, 4, 3, 0, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode3/internal/sample.go b/src/circl/sign/dilithium/mode3/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode3/internal/sample_test.go b/src/circl/sign/dilithium/mode3/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode3/internal/vec.go b/src/circl/sign/dilithium/mode3/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode3/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/dilithium/mode3aes.go b/src/circl/sign/dilithium/mode3aes.go new file mode 100644 index 00000000000..54049edbb3a --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode3aes" +) + +// implMode3AES implements the mode.Mode interface for Dilithium3-AES. +type implMode3AES struct{} + +// Mode3AES is Dilithium in mode "Dilithium3-AES". +var Mode3AES Mode = &implMode3AES{} + +func (m *implMode3AES) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode3aes.GenerateKey(rand) +} + +func (m *implMode3AES) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode3aes.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode3AES) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode3aes.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode3AES) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode3aes.PrivateKey) + ret := [mode3aes.SignatureSize]byte{} + mode3aes.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode3AES) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode3aes.PublicKey) + return mode3aes.Verify(ipk, msg, signature) +} + +func (m *implMode3AES) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode3aes.PublicKey + if len(data) != mode3aes.PublicKeySize { + panic("packed public key must be of mode3aes.PublicKeySize bytes") + } + var buf [mode3aes.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode3AES) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode3aes.PrivateKey + if len(data) != mode3aes.PrivateKeySize { + panic("packed public key must be of mode3aes.PrivateKeySize bytes") + } + var buf [mode3aes.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode3AES) SeedSize() int { + return common.SeedSize +} + +func (m *implMode3AES) PublicKeySize() int { + return mode3aes.PublicKeySize +} + +func (m *implMode3AES) PrivateKeySize() int { + return mode3aes.PrivateKeySize +} + +func (m *implMode3AES) SignatureSize() int { + return mode3aes.SignatureSize +} + +func (m *implMode3AES) Name() string { + return "Dilithium3-AES" +} + +func init() { + modes["Dilithium3-AES"] = Mode3AES +} diff --git a/src/circl/sign/dilithium/mode3aes/dilithium.go b/src/circl/sign/dilithium/mode3aes/dilithium.go new file mode 100644 index 00000000000..5d4d049b2dd --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode3aes implements the CRYSTALS-Dilithium signature scheme Dilithium3-AES +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode3aes + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode3aes/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium3-AES public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium3-AES private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode3aes.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode3aes.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/dilithium.go b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/mat.go b/src/circl/sign/dilithium/mode3aes/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/pack.go b/src/circl/sign/dilithium/mode3aes/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/pack_test.go b/src/circl/sign/dilithium/mode3aes/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/params.go b/src/circl/sign/dilithium/mode3aes/internal/params.go new file mode 100644 index 00000000000..286d1f97e8c --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium3-AES" + UseAES = true + PublicKeySize = 1472 + PrivateKeySize = 3504 + SignatureSize = 2701 + K = 5 + L = 4 + Eta = 5 + DoubleEtaBits = 4 + Beta = 275 + Omega = 96 +) diff --git a/src/circl/sign/dilithium/mode3aes/internal/params_test.go b/src/circl/sign/dilithium/mode3aes/internal/params_test.go new file mode 100644 index 00000000000..6d5dfcee7cf --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/params_test.go @@ -0,0 +1,49 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 2, 8380412, 8380413, 8380416, 8380416, 8380415, 4, 1, 5, + 1, 8380413, 8380412, 5, 8380412, 8380416, 8380415, 8380412, + 4, 1, 1, 8380414, 8380413, 8380413, 8380416, 4, 8380415, + 4, 8380415, 8380416, 8380412, 2, 8380412, 4, 2, 8380416, + 5, 8380415, 8380412, 0, 3, 8380416, 5, 8380416, 4, 3, + 8380413, 4, 8380412, 1, 2, 8380413, 8380416, 8380413, 3, + 5, 8380413, 8380414, 8380414, 2, 0, 8380412, 4, 8380412, + 1, 8380412, 8380413, 0, 8380413, 8380413, 4, 1, 0, 8380413, + 8380415, 4, 0, 8380414, 8380413, 3, 2, 4, 8380412, 8380415, + 0, 8380414, 5, 4, 8380413, 1, 1, 8380414, 8380415, 3, 3, + 3, 3, 8380412, 0, 8380415, 3, 8380414, 8380412, 8380414, + 8380412, 2, 8380412, 8380416, 3, 8380412, 2, 0, 3, 1, 0, + 3, 8380413, 0, 8380414, 2, 2, 0, 5, 8380416, 8380414, 5, + 4, 0, 8380415, 1, 3, 5, 5, 8380416, 3, 4, 0, 0, 3, 0, 0, + 3, 5, 8380412, 8380414, 8380412, 5, 3, 8380416, 5, 5, 4, + 8380416, 1, 5, 5, 1, 5, 3, 8380414, 1, 1, 8380415, 8380415, + 2, 2, 8380414, 0, 8380413, 3, 8380414, 5, 8380413, 0, 4, + 0, 8380416, 8380416, 3, 1, 8380412, 2, 8380413, 8380413, + 0, 8380414, 4, 2, 5, 2, 0, 1, 8380412, 8380412, 8380416, + 8380416, 3, 3, 1, 3, 4, 5, 2, 5, 3, 3, 8380415, 2, 8380415, + 5, 2, 3, 4, 3, 8380414, 0, 1, 8380416, 8380415, 3, 4, 3, + 8380412, 0, 8380416, 8380412, 3, 5, 8380415, 3, 3, 8380414, + 8380416, 8380412, 5, 1, 8380413, 1, 4, 8380415, 8380413, + 8380416, 8380413, 5, 5, 0, 5, 0, 5, 2, 1, 8380414, 8380415, + 2, 8380412, 8380412, 4, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/sample.go b/src/circl/sign/dilithium/mode3aes/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/sample_test.go b/src/circl/sign/dilithium/mode3aes/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/vec.go b/src/circl/sign/dilithium/mode3aes/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode3aes/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/dilithium/mode4.go b/src/circl/sign/dilithium/mode4.go new file mode 100644 index 00000000000..f71550011bd --- /dev/null +++ b/src/circl/sign/dilithium/mode4.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode4" +) + +// implMode4 implements the mode.Mode interface for Dilithium4. +type implMode4 struct{} + +// Mode4 is Dilithium in mode "Dilithium4". +var Mode4 Mode = &implMode4{} + +func (m *implMode4) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode4.GenerateKey(rand) +} + +func (m *implMode4) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode4.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode4) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode4.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode4) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode4.PrivateKey) + ret := [mode4.SignatureSize]byte{} + mode4.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode4) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode4.PublicKey) + return mode4.Verify(ipk, msg, signature) +} + +func (m *implMode4) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode4.PublicKey + if len(data) != mode4.PublicKeySize { + panic("packed public key must be of mode4.PublicKeySize bytes") + } + var buf [mode4.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode4) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode4.PrivateKey + if len(data) != mode4.PrivateKeySize { + panic("packed public key must be of mode4.PrivateKeySize bytes") + } + var buf [mode4.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode4) SeedSize() int { + return common.SeedSize +} + +func (m *implMode4) PublicKeySize() int { + return mode4.PublicKeySize +} + +func (m *implMode4) PrivateKeySize() int { + return mode4.PrivateKeySize +} + +func (m *implMode4) SignatureSize() int { + return mode4.SignatureSize +} + +func (m *implMode4) Name() string { + return "Dilithium4" +} + +func init() { + modes["Dilithium4"] = Mode4 +} diff --git a/src/circl/sign/dilithium/mode4/dilithium.go b/src/circl/sign/dilithium/mode4/dilithium.go new file mode 100644 index 00000000000..077547bfc40 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode4 implements the CRYSTALS-Dilithium signature scheme Dilithium4 +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode4 + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode4/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium4 public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium4 private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode4.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode4.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode4/internal/dilithium.go b/src/circl/sign/dilithium/mode4/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode4/internal/dilithium_test.go b/src/circl/sign/dilithium/mode4/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode4/internal/mat.go b/src/circl/sign/dilithium/mode4/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode4/internal/pack.go b/src/circl/sign/dilithium/mode4/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode4/internal/pack_test.go b/src/circl/sign/dilithium/mode4/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode4/internal/params.go b/src/circl/sign/dilithium/mode4/internal/params.go new file mode 100644 index 00000000000..98101670df2 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium4" + UseAES = false + PublicKeySize = 1760 + PrivateKeySize = 3856 + SignatureSize = 3366 + K = 6 + L = 5 + Eta = 3 + DoubleEtaBits = 3 + Beta = 175 + Omega = 120 +) diff --git a/src/circl/sign/dilithium/mode4/internal/params_test.go b/src/circl/sign/dilithium/mode4/internal/params_test.go new file mode 100644 index 00000000000..689a56685f0 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/params_test.go @@ -0,0 +1,49 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 8380416, 0, 8380415, 1, 8380416, 8380415, 1, 8380415, + 8380416, 3, 8380416, 8380414, 3, 8380415, 2, 3, 1, 1, + 8380414, 1, 0, 2, 8380414, 8380415, 8380415, 8380416, + 8380414, 3, 8380416, 8380414, 8380416, 8380414, 1, 3, 2, + 0, 8380416, 3, 8380415, 8380415, 2, 3, 8380416, 0, 2, 1, + 1, 8380414, 8380414, 3, 1, 0, 8380416, 2, 1, 8380415, 3, + 2, 8380414, 3, 3, 8380414, 1, 8380414, 1, 2, 8380414, 2, + 8380415, 8380415, 3, 1, 0, 8380415, 8380414, 8380415, 3, + 8380416, 8380416, 8380414, 2, 8380416, 8380414, 0, 0, 3, + 8380414, 8380415, 2, 8380416, 8380414, 0, 3, 2, 1, 8380414, + 0, 1, 0, 8380416, 2, 2, 0, 8380414, 0, 2, 8380414, 8380416, + 1, 8380415, 1, 8380416, 3, 8380414, 0, 2, 8380415, 3, + 8380415, 8380414, 8380416, 2, 3, 1, 0, 0, 2, 1, 3, 0, 1, + 3, 3, 8380415, 0, 8380416, 3, 1, 2, 8380415, 0, 3, 1, + 8380416, 8380414, 2, 8380414, 8380414, 0, 8380415, 8380416, + 8380415, 1, 8380416, 3, 8380414, 1, 1, 3, 8380414, 3, 2, + 2, 0, 3, 8380416, 2, 8380416, 0, 8380415, 8380416, 8380416, + 3, 8380414, 0, 0, 8380415, 8380414, 8380416, 2, 1, 8380416, + 2, 2, 8380414, 1, 1, 2, 1, 8380415, 8380416, 1, 1, 0, 1, + 8380416, 0, 8380416, 2, 8380415, 1, 0, 1, 8380414, 3, + 8380414, 8380415, 8380416, 0, 0, 1, 2, 8380415, 8380414, + 0, 8380415, 0, 2, 0, 8380416, 1, 8380415, 1, 8380416, 0, + 0, 8380414, 3, 0, 3, 0, 2, 3, 0, 3, 8380416, 8380415, + 8380415, 8380416, 2, 3, 0, 3, 2, 8380415, 3, 2, 8380416, + 8380415, 3, 1, 0, 8380414, 2, 8380416, 3, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode4/internal/sample.go b/src/circl/sign/dilithium/mode4/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode4/internal/sample_test.go b/src/circl/sign/dilithium/mode4/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode4/internal/vec.go b/src/circl/sign/dilithium/mode4/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode4/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/dilithium/mode4aes.go b/src/circl/sign/dilithium/mode4aes.go new file mode 100644 index 00000000000..0a5ab4e787b --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes.go @@ -0,0 +1,95 @@ +// Code generated from mode.templ.go. DO NOT EDIT. + +package dilithium + +import ( + "fmt" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode4aes" +) + +// implMode4AES implements the mode.Mode interface for Dilithium4-AES. +type implMode4AES struct{} + +// Mode4AES is Dilithium in mode "Dilithium4-AES". +var Mode4AES Mode = &implMode4AES{} + +func (m *implMode4AES) GenerateKey(rand io.Reader) ( + PublicKey, PrivateKey, error) { + return mode4aes.GenerateKey(rand) +} + +func (m *implMode4AES) NewKeyFromExpandedSeed(seed *[96]byte) (PublicKey, + PrivateKey) { + return mode4aes.NewKeyFromExpandedSeed(seed) +} + +func (m *implMode4AES) NewKeyFromSeed(seed []byte) (PublicKey, + PrivateKey) { + if len(seed) != common.SeedSize { + panic(fmt.Sprintf("seed must be of length %d", common.SeedSize)) + } + seedBuf := [common.SeedSize]byte{} + copy(seedBuf[:], seed) + return mode4aes.NewKeyFromSeed(&seedBuf) +} + +func (m *implMode4AES) Sign(sk PrivateKey, msg []byte) []byte { + isk := sk.(*mode4aes.PrivateKey) + ret := [mode4aes.SignatureSize]byte{} + mode4aes.SignTo(isk, msg, ret[:]) + return ret[:] +} + +func (m *implMode4AES) Verify(pk PublicKey, msg []byte, signature []byte) bool { + ipk := pk.(*mode4aes.PublicKey) + return mode4aes.Verify(ipk, msg, signature) +} + +func (m *implMode4AES) PublicKeyFromBytes(data []byte) PublicKey { + var ret mode4aes.PublicKey + if len(data) != mode4aes.PublicKeySize { + panic("packed public key must be of mode4aes.PublicKeySize bytes") + } + var buf [mode4aes.PublicKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode4AES) PrivateKeyFromBytes(data []byte) PrivateKey { + var ret mode4aes.PrivateKey + if len(data) != mode4aes.PrivateKeySize { + panic("packed public key must be of mode4aes.PrivateKeySize bytes") + } + var buf [mode4aes.PrivateKeySize]byte + copy(buf[:], data) + ret.Unpack(&buf) + return &ret +} + +func (m *implMode4AES) SeedSize() int { + return common.SeedSize +} + +func (m *implMode4AES) PublicKeySize() int { + return mode4aes.PublicKeySize +} + +func (m *implMode4AES) PrivateKeySize() int { + return mode4aes.PrivateKeySize +} + +func (m *implMode4AES) SignatureSize() int { + return mode4aes.SignatureSize +} + +func (m *implMode4AES) Name() string { + return "Dilithium4-AES" +} + +func init() { + modes["Dilithium4-AES"] = Mode4AES +} diff --git a/src/circl/sign/dilithium/mode4aes/dilithium.go b/src/circl/sign/dilithium/mode4aes/dilithium.go new file mode 100644 index 00000000000..b5fac047da7 --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/dilithium.go @@ -0,0 +1,173 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// mode4aes implements the CRYSTALS-Dilithium signature scheme Dilithium4-AES +// as submitted to round2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/dilithium/data/dilithium-specification-round2.pdf +package mode4aes + +import ( + "crypto" + "errors" + "io" + + "circl/sign/dilithium/internal/common" + "circl/sign/dilithium/mode4aes/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + SeedSize = common.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a signature + SignatureSize = internal.SignatureSize +) + +// PublicKey is the type of Dilithium4-AES public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Dilithium4-AES private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + pk, sk, err := internal.GenerateKey(rand) + return (*PublicKey)(pk), (*PrivateKey)(sk), err +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + pk, sk := internal.NewKeyFromExpandedSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + internal.SignTo( + (*internal.PrivateKey)(sk), + msg, + signature, + ) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + return internal.Verify( + (*internal.PublicKey)(pk), + msg, + signature, + ) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Packs the public key. +func (pk *PublicKey) Bytes() []byte { + var buf [PublicKeySize]byte + pk.Pack(&buf) + return buf[:] +} + +// Packs the private key. +func (sk *PrivateKey) Bytes() []byte { + var buf [PrivateKeySize]byte + sk.Pack(&buf) + return buf[:] +} + +// Packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// Packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// Unpacks the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of mode4aes.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// Unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of mode4aes.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("dilithium: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return (*PublicKey)((*internal.PrivateKey)(sk).Public()) +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/dilithium.go b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go new file mode 100644 index 00000000000..20e4ab2547b --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go @@ -0,0 +1,417 @@ +package internal + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/internal/common" +) + +const ( + // Size of a packed polynomial of norm ≤η. + // (Note that the formula is not valid in general.) + PolyLeqEtaSize = (common.N * DoubleEtaBits) / 8 +) + +// PublicKey is the type of Dilithium public keys. +type PublicKey struct { + rho [32]byte + t1 VecK + + // Cached values + t1p [common.PolyT1Size * K]byte + A *Mat + tr *[48]byte +} + +// PrivateKey is the type of Dilithium private keys. +type PrivateKey struct { + rho [32]byte + key [32]byte + s1 VecL + s2 VecK + t0 VecK + tr [48]byte + + // Cached values + A Mat // ExpandA(ρ) + s1h VecL // NTT(s₁) + s2h VecK // NTT(s₂) + t0h VecK // NTT(t₀) +} + +type unpackedSignature struct { + z VecL + hint VecK + c common.Poly +} + +// Packs the signature into buf. +func (sig *unpackedSignature) Pack(buf []byte) { + sig.z.PackLeGamma1(buf[:]) + sig.hint.PackHint(buf[L*common.PolyLeGamma1Size:]) + sig.c.PackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) +} + +// Sets sig to the signature encoded in the buffer. +// +// Returns whether buf contains a properly packed signature. +func (sig *unpackedSignature) Unpack(buf []byte) bool { + if len(buf) < SignatureSize { + return false + } + sig.z.UnpackLeGamma1(buf[:]) + if sig.z.Exceeds(common.Gamma1 - Beta) { + return false + } + if !sig.hint.UnpackHint(buf[L*common.PolyLeGamma1Size:]) { + return false + } + sig.c.UnpackB60(buf[L*common.PolyLeGamma1Size+Omega+K:]) + return true +} + +// Packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + copy(buf[:32], pk.rho[:]) + copy(buf[32:], pk.t1p[:]) +} + +// Sets pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + copy(pk.rho[:], buf[:32]) + copy(pk.t1p[:], buf[32:]) + + pk.t1.UnpackT1(pk.t1p[:]) + pk.A = new(Mat) + pk.A.Derive(&pk.rho) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + pk.tr = new([48]byte) + h := shake.NewShake256() + _, _ = h.Write(buf[:]) + _, _ = h.Read(pk.tr[:]) +} + +// Packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + copy(buf[:32], sk.rho[:]) + copy(buf[32:64], sk.key[:]) + copy(buf[64:112], sk.tr[:]) + offset := 112 + sk.s1.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.PackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.PackT0(buf[offset:]) +} + +// Sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + copy(sk.rho[:], buf[:32]) + copy(sk.key[:], buf[32:64]) + copy(sk.tr[:], buf[64:112]) + offset := 112 + sk.s1.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * L + sk.s2.UnpackLeqEta(buf[offset:]) + offset += PolyLeqEtaSize * K + sk.t0.UnpackT0(buf[offset:]) + + // Cached values + sk.A.Derive(&sk.rho) + sk.t0h = sk.t0 + sk.t0h.NTT() + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [32]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromExpandedSeed derives a public/private key pair using the +// given expanded seed. +// +// Use NewKeyFromSeed instead of this function. This function is only exposed +// to generate the NIST KAT test vectors. +func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + var sSeed [32]byte + + copy(pk.rho[:], seed[:32]) + copy(sSeed[:], seed[32:64]) + copy(sk.key[:], seed[64:]) + copy(sk.rho[:], pk.rho[:]) + + sk.A.Derive(&pk.rho) + + for i := uint16(0); i < L; i++ { + PolyDeriveUniformLeqEta(&sk.s1[i], &sSeed, i) + } + + for i := uint16(0); i < K; i++ { + PolyDeriveUniformLeqEta(&sk.s2[i], &sSeed, i+L) + } + + sk.s1h = sk.s1 + sk.s1h.NTT() + sk.s2h = sk.s2 + sk.s2h.NTT() + + sk.computeT0andT1(&sk.t0, &pk.t1) + + sk.t0h = sk.t0 + sk.t0h.NTT() + + // Complete public key far enough to be packed + pk.t1.PackT1(pk.t1p[:]) + pk.A = &sk.A + + // Finish private key + var packedPk [PublicKeySize]byte + pk.Pack(&packedPk) + + // tr = CRH(ρ ‖ t1) = CRH(pk) + h := shake.NewShake256() + _, _ = h.Write(packedPk[:]) + _, _ = h.Read(sk.tr[:]) + + // Finish cache of public key + pk.tr = &sk.tr + + return &pk, &sk +} + +// Computes t0 and t1 from sk.s1h, sk.s2 and sk.A. +func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { + var t VecK + + // Set t to A s₁ + s₂ + for i := 0; i < K; i++ { + PolyDotHat(&t[i], &sk.A[i], &sk.s1h) + t[i].ReduceLe2Q() + t[i].InvNTT() + } + t.Add(&t, &sk.s2) + t.Normalize() + + // Compute t₀, t₁ = Power2Round(t) + t.Power2Round(t0, t1) +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { + var buf [96]byte + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(buf[:]) + return NewKeyFromExpandedSeed(&buf) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + var sig unpackedSignature + var mu [48]byte + var zh VecL + var Az, Az2dct1, w1 VecK + var ch, cp common.Poly + + // Note that Unpack() checked whether ‖z‖_∞ < γ₁ - β + // and ensured that there at most ω ones in pk.hint. + if !sig.Unpack(signature) { + return false + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(pk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // Compute Az + zh = sig.z + zh.NTT() + + for i := 0; i < K; i++ { + PolyDotHat(&Az[i], &pk.A[i], &zh) + } + + // Next, we compute Az - 2ᵈ·c·t₁. + // Note that the coefficients of t₁ are bounded by 256 = 2⁹, + // so the coefficients of Az2dct1 will bounded by 2⁹⁺ᵈ = 2²³ < 2q, + // which is small enough for NTT(). + Az2dct1.MulBy2toD(&pk.t1) + Az2dct1.NTT() + ch = sig.c + ch.NTT() + for i := 0; i < K; i++ { + Az2dct1[i].MulHat(&Az2dct1[i], &ch) + } + Az2dct1.Sub(&Az, &Az2dct1) + Az2dct1.ReduceLe2Q() + Az2dct1.InvNTT() + Az2dct1.NormalizeAssumingLe2Q() + + // UseHint(pk.hint, Az - 2ᵈ·c·t₁) + // = UseHint(pk.hint, w - c·s₂ + c·t₀) + // = UseHint(pk.hint, r + c·t₀) + // = r₁ = w₁. + w1.UseHint(&Az2dct1, &sig.hint) + + // c' = H(μ, w₁) + PolyDeriveUniformB60(&cp, &mu, &w1) + return sig.c == cp +} + +// SignTo signs the given message and writes the signature into signature. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + var mu, rhop [48]byte + var y, yh VecL + var w, w0, w1, w0mcs2, ct0, w0mcs2pct0 VecK + var ch common.Poly + var yNonce uint16 + var sig unpackedSignature + + if len(signature) < SignatureSize { + panic("Signature does not fit in that byteslice") + } + + // μ = CRH(tr ‖ msg) + h := shake.NewShake256() + _, _ = h.Write(sk.tr[:]) + _, _ = h.Write(msg) + _, _ = h.Read(mu[:]) + + // ρ' = CRH(μ ‖ key) + h.Reset() + _, _ = h.Write(sk.key[:]) + _, _ = h.Write(mu[:]) + _, _ = h.Read(rhop[:]) + + // Main rejection loop + attempt := 0 + for { + attempt++ + if attempt >= 576 { + // Depending on the mode, one try has a chance between 1/7 and 1/4 + // of succeeding. Thus it is safe to say that 576 iterations + // are enough as (6/7)⁵⁷⁶ < 2⁻¹²⁸. + panic("This should only happen 1 in 2^{128}: something is wrong.") + } + + // y = ExpandMask(ρ', key) + VecLDeriveUniformLeGamma1(&y, &rhop, yNonce) + yNonce += uint16(L) + + // Set w to A y + yh = y + yh.NTT() + for i := 0; i < K; i++ { + PolyDotHat(&w[i], &sk.A[i], &yh) + w[i].ReduceLe2Q() + w[i].InvNTT() + } + + // Decompose w into w₀ and w₁ + w.NormalizeAssumingLe2Q() + w.Decompose(&w0, &w1) + + // c = H(μ, w₁) + PolyDeriveUniformB60(&sig.c, &mu, &w1) + ch = sig.c + ch.NTT() + + // Ensure ‖ w₀ - c·s2 ‖_∞ < γ₂ - β. + // + // By Lemma 3 of the specification this is equivalent to checking that + // both ‖ r₀ ‖_∞ < γ₂ - β and r₁ = w₁, for the decomposition + // w - c·s₂ = r₁ α + r₀ as computed by decompose(). + // See also §4.1 of the specification. + for i := 0; i < K; i++ { + w0mcs2[i].MulHat(&ch, &sk.s2h[i]) + w0mcs2[i].InvNTT() + } + w0mcs2.Sub(&w0, &w0mcs2) + w0mcs2.Normalize() + + if w0mcs2.Exceeds(common.Gamma2 - Beta) { + continue + } + + // z = y + c·s₁ + for i := 0; i < L; i++ { + sig.z[i].MulHat(&ch, &sk.s1h[i]) + sig.z[i].InvNTT() + } + sig.z.Add(&sig.z, &y) + sig.z.Normalize() + + // Ensure ‖z‖_∞ < γ₁ - β + if sig.z.Exceeds(common.Gamma1 - Beta) { + continue + } + + // Compute c·t₀ + for i := 0; i < K; i++ { + ct0[i].MulHat(&ch, &sk.t0h[i]) + ct0[i].InvNTT() + } + ct0.NormalizeAssumingLe2Q() + + // Ensure ‖c·t₀‖_∞ < γ₂. + if ct0.Exceeds(common.Gamma2) { + continue + } + + // Create the hint to be able to reconstruct w₁ from w - c·s₂ + c·t0. + // Note that we're not using makeHint() in the obvious way as we + // do not know whether ‖ sc·s₂ - c·t₀ ‖_∞ < γ₂. Instead we note + // that our makeHint() is actually the same as a makeHint for a + // different decomposition: + // + // Earlier we ensured indirectly with a check that r₁ = w₁ where + // r = w - c·s₂. Hence r₀ = r - r₁ α = w - c·s₂ - w₁ α = w₀ - c·s₂. + // Thus MakeHint(w₀ - c·s₂ + c·t₀, w₁) = MakeHint(r0 + c·t₀, r₁) + // and UseHint(w - c·s₂ + c·t₀, w₁) = UseHint(r + c·t₀, r₁). + // As we just ensured that ‖ c·t₀ ‖_∞ < γ₂ our usage is correct. + w0mcs2pct0.Add(&w0mcs2, &ct0) + w0mcs2pct0.NormalizeAssumingLe2Q() + hintPop := sig.hint.MakeHint(&w0mcs2pct0, &w1) + if hintPop > Omega { + continue + } + + break + } + + sig.Pack(signature[:]) +} + +// Computes the public key corresponding to this private key. +func (sk *PrivateKey) Public() *PublicKey { + var t0 VecK + pk := &PublicKey{ + rho: sk.rho, + A: &sk.A, + tr: &sk.tr, + } + sk.computeT0andT1(&t0, &pk.t1) + pk.t1.PackT1(pk.t1p[:]) + return pk +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go new file mode 100644 index 00000000000..f4ba18dd121 --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go @@ -0,0 +1,131 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Checks whether p is normalized. Only used in tests. +func PolyNormalized(p *common.Poly) bool { + p2 := *p + p2.Normalize() + return p2 == *p +} + +func BenchmarkSkUnpack(b *testing.B) { + var buf [PrivateKeySize]byte + var sk PrivateKey + for i := 0; i < b.N; i++ { + sk.Unpack(&buf) + } +} + +func BenchmarkPkUnpack(b *testing.B) { + var buf [PublicKeySize]byte + var pk PublicKey + for i := 0; i < b.N; i++ { + pk.Unpack(&buf) + } +} + +func BenchmarkVerify(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of verification (as in the reference + // implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + pk, sk := NewKeyFromSeed(&seed) + SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that the expansion of the matrix A is done at Unpacking/Keygen + // instead of at the moment of signing (as in the reference implementation.) + var seed [32]byte + var msg [8]byte + var sig [SignatureSize]byte + _, sk := NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [common.SeedSize]byte + var sig [SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [PublicKeySize]byte + var skb1, skb2 [PrivateKeySize]byte + var pk2 PublicKey + var sk2 PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + SignTo(sk, msg[:], sig[:]) + if !Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [common.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := NewKeyFromSeed(&seed) + pk2 := sk.Public() + var pkb1, pkb2 [PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/mat.go b/src/circl/sign/dilithium/mode4aes/internal/mat.go new file mode 100644 index 00000000000..8131a22b12c --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/mat.go @@ -0,0 +1,57 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A k by l matrix of polynomials. +type Mat [K]VecL + +// Expands the given seed to a complete matrix. +// +// This function is called ExpandA in the specification. +func (m *Mat) Derive(seed *[32]byte) { + if !DeriveX4Available { + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + PolyDeriveUniform(&m[i][j], seed, (i<<8)+j) + } + } + return + } + + idx := 0 + var nonces [4]uint16 + var ps [4]*common.Poly + for i := uint16(0); i < K; i++ { + for j := uint16(0); j < L; j++ { + nonces[idx] = (i << 8) + j + ps[idx] = &m[i][j] + idx++ + if idx == 4 { + idx = 0 + PolyDeriveUniformX4(ps, seed, nonces) + } + } + } + if idx != 0 { + for i := idx; i < 4; i++ { + ps[i] = nil + } + PolyDeriveUniformX4(ps, seed, nonces) + } +} + +// Set p to the inner product of a and b using pointwise multiplication. +// +// Assumes a and b are in Montgomery form and their coefficients are +// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// coefficients are bounded by 2Lq. +func PolyDotHat(p *common.Poly, a, b *VecL) { + var t common.Poly + *p = common.Poly{} // zero p + for i := 0; i < L; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/pack.go b/src/circl/sign/dilithium/mode4aes/internal/pack.go new file mode 100644 index 00000000000..827717f25ad --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/pack.go @@ -0,0 +1,139 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// Writes p with norm less than or equal η into buf, which must be of +// size PolyLeqEtaSize. +// +// Assumes coefficients of p are not normalized, but in [q-η,q+η]. +func PolyPackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + buf[i] = (byte(common.Q+Eta-p[j]) | + byte(common.Q+Eta-p[j+1])<<4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + buf[i] = (byte(common.Q+Eta-p[j]) | + (byte(common.Q+Eta-p[j+1]) << 3) | + (byte(common.Q+Eta-p[j+2]) << 6)) + buf[i+1] = ((byte(common.Q+Eta-p[j+2]) >> 2) | + (byte(common.Q+Eta-p[j+3]) << 1) | + (byte(common.Q+Eta-p[j+4]) << 4) | + (byte(common.Q+Eta-p[j+5]) << 7)) + buf[i+2] = ((byte(common.Q+Eta-p[j+5]) >> 1) | + (byte(common.Q+Eta-p[j+6]) << 2) | + (byte(common.Q+Eta-p[j+7]) << 5)) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Sets p to the polynomial of norm less than or equal η encoded in the +// given buffer of size PolyLeqEtaSize. +// +// Output coefficients of p are not normalized, but in [q-η,q+η] provided +// buf was created using PackLeqEta. +// +// Beware, for arbitrary buf the coefficients of p might en up in +// the interval [q-2^b,q+2^b] where b is the least b with η≤2^b. +func PolyUnpackLeqEta(p *common.Poly, buf []byte) { + if DoubleEtaBits == 4 { // compiler eliminates branch + j := 0 + for i := 0; i < PolyLeqEtaSize; i++ { + p[j] = common.Q + Eta - uint32(buf[i]&15) + p[j+1] = common.Q + Eta - uint32(buf[i]>>4) + j += 2 + } + } else if DoubleEtaBits == 3 { + j := 0 + for i := 0; i < PolyLeqEtaSize; i += 3 { + p[j] = common.Q + Eta - uint32(buf[i]&7) + p[j+1] = common.Q + Eta - uint32((buf[i]>>3)&7) + p[j+2] = common.Q + Eta - uint32((buf[i]>>6)|((buf[i+1]<<2)&7)) + p[j+3] = common.Q + Eta - uint32((buf[i+1]>>1)&7) + p[j+4] = common.Q + Eta - uint32((buf[i+1]>>4)&7) + p[j+5] = common.Q + Eta - uint32((buf[i+1]>>7)|((buf[i+2]<<1)&7)) + p[j+6] = common.Q + Eta - uint32((buf[i+2]>>2)&7) + p[j+7] = common.Q + Eta - uint32((buf[i+2]>>5)&7) + j += 8 + } + } else { + panic("eta not supported") + } +} + +// Writes v with coefficients in {0, 1} of which at most ω non-zero +// to buf, which must have length ω+k. +func (v *VecK) PackHint(buf []byte) { + // The packed hint starts with the indices of the non-zero coefficients + // For instance: + // + // (x⁵⁶ + x¹⁰⁰, x²⁵⁵, 0, x² + x²³, x¹) + // + // Yields + // + // 56, 100, 255, 2, 23, 1 + // + // Then we pad with zeroes until we have a list of ω items: + // // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0 + // + // Then we finish with a list of the switch-over-indices in this + // list between polynomials, so: + // + // 56, 100, 255, 2, 23, 1, 0, 0, ..., 0, 2, 3, 3, 5, 6 + + off := uint8(0) + for i := 0; i < K; i++ { + for j := uint16(0); j < common.N; j++ { + if v[i][j] != 0 { + buf[off] = uint8(j) + off++ + } + } + buf[Omega+i] = off + } + for ; off < Omega; off++ { + buf[off] = 0 + } +} + +// Sets v to the vector encoded using VecK.PackHint() +// +// Returns whether unpacking was successful. +func (v *VecK) UnpackHint(buf []byte) bool { + // A priori, there would be several reasonable ways to encode the same + // hint vector. We take care to only allow only one encoding, to ensure + // "strong unforgeability". + // + // See PackHint() source for description of the encoding. + *v = VecK{} // zero v + prevSOP := uint8(0) // previous switch-over-point + for i := 0; i < K; i++ { + SOP := buf[Omega+i] + if SOP < prevSOP || SOP > Omega { + return false // ensures switch-over-points are increasing + } + for j := prevSOP; j < SOP; j++ { + if j > prevSOP && buf[j] <= buf[j-1] { + return false // ensures indices are increasing (within a poly) + } + v[i][buf[j]] = 1 + } + prevSOP = SOP + } + for j := prevSOP; j < Omega; j++ { + if buf[j] != 0 { + return false // ensures padding indices are zero + } + } + + return true +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/pack_test.go b/src/circl/sign/dilithium/mode4aes/internal/pack_test.go new file mode 100644 index 00000000000..f7565b79a23 --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/pack_test.go @@ -0,0 +1,83 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestPolyPackLeqEta(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [PolyLeqEtaSize]byte + + for i := uint16(0); i < 100; i++ { + // Note that DeriveUniformLeqEta sets p to the right kind of + // unnormalized vector. + PolyDeriveUniformLeqEta(&p1, &seed, i) + for j := 0; j < PolyLeqEtaSize; j++ { + if p1[j] < common.Q-Eta || p1[j] > common.Q+Eta { + t.Fatalf("DerveUniformLeqEta out of bounds") + } + } + PolyPackLeqEta(&p1, buf[:]) + PolyUnpackLeqEta(&p2, buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT1(t *testing.T) { + var p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p1, &seed, i) + p1.Normalize() + for j := 0; j < common.N; j++ { + p1[j] &= 0x1ff + } + p1.PackT1(buf[:]) + p2.UnpackT1(buf[:]) + if p1 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackT0(t *testing.T) { + var p, p0, p1, p2 common.Poly + var seed [32]byte + var buf [common.PolyT0Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniform(&p, &seed, i) + p.Normalize() + p.Power2Round(&p0, &p1) + + p0.PackT0(buf[:]) + p2.UnpackT0(buf[:]) + if p0 != p2 { + t.Fatalf("%v != %v", p1, p2) + } + } +} + +func TestPolyPackLeGamma1(t *testing.T) { + var p0, p1 common.Poly + var seed [48]byte + var buf [common.PolyLeGamma1Size]byte + + for i := uint16(0); i < 100; i++ { + PolyDeriveUniformLeGamma1(&p0, &seed, i) + p0.Normalize() + + p0.PackLeGamma1(buf[:]) + p1.UnpackLeGamma1(buf[:]) + if p0 != p1 { + t.Fatalf("%v != %v", p0, p1) + } + } +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/params.go b/src/circl/sign/dilithium/mode4aes/internal/params.go new file mode 100644 index 00000000000..e0f3b24fafe --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/params.go @@ -0,0 +1,17 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +const ( + Name = "Dilithium4-AES" + UseAES = true + PublicKeySize = 1760 + PrivateKeySize = 3856 + SignatureSize = 3366 + K = 6 + L = 5 + Eta = 3 + DoubleEtaBits = 3 + Beta = 175 + Omega = 120 +) diff --git a/src/circl/sign/dilithium/mode4aes/internal/params_test.go b/src/circl/sign/dilithium/mode4aes/internal/params_test.go new file mode 100644 index 00000000000..0e50e20c729 --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/params_test.go @@ -0,0 +1,47 @@ +package internal + +import ( + "testing" + + "circl/sign/dilithium/internal/common" +) + +// Tests specific to the current mode + +func TestVectorDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + p2 := common.Poly{ + 0, 8380414, 1, 8380416, 8380414, 0, 3, 8380416, 8380415, 8380416, + 3, 8380416, 8380416, 1, 3, 1, 0, 8380415, 8380415, 3, 8380416, + 1, 3, 8380416, 8380415, 8380416, 8380414, 3, 3, 0, 8380414, + 8380415, 0, 8380415, 2, 2, 0, 0, 3, 0, 8380414, 8380415, 8380415, + 8380416, 1, 8380414, 2, 0, 3, 0, 2, 8380415, 1, 2, 3, 1, 1, 0, + 8380415, 2, 8380414, 8380414, 8380414, 8380415, 8380416, 1, 3, + 2, 8380415, 3, 8380414, 8380415, 8380416, 0, 1, 1, 3, 1, 1, 1, + 8380414, 2, 8380416, 1, 2, 8380416, 2, 1, 8380415, 8380416, 3, + 8380415, 3, 8380416, 1, 2, 2, 8380414, 1, 0, 8380415, 3, 3, 2, + 8380416, 0, 8380414, 0, 1, 8380416, 8380414, 3, 0, 1, 2, 1, 2, + 1, 8380415, 8380415, 0, 1, 3, 8380415, 8380416, 8380415, 3, 1, + 8380415, 0, 8380415, 8380414, 8380414, 1, 8380415, 0, 1, 1, 1, + 8380416, 1, 8380416, 8380414, 8380415, 1, 8380416, 8380415, + 8380416, 0, 8380416, 8380414, 0, 1, 3, 8380414, 8380416, 3, 3, + 8380415, 0, 8380416, 8380415, 1, 3, 3, 0, 2, 8380416, 3, 8380415, + 8380414, 8380415, 2, 8380415, 1, 8380414, 1, 3, 1, 8380416, 1, + 3, 1, 8380414, 3, 3, 3, 8380414, 1, 8380414, 3, 3, 0, 8380414, + 8380416, 3, 0, 2, 3, 1, 8380416, 0, 0, 0, 0, 8380414, 0, 8380416, + 8380415, 0, 8380416, 8380416, 8380415, 1, 8380416, 3, 8380416, + 8380415, 3, 8380415, 0, 8380414, 2, 8380416, 8380415, 0, 8380414, + 2, 8380416, 8380416, 1, 3, 2, 2, 8380414, 8380414, 8380414, 3, + 0, 1, 8380416, 8380415, 1, 8380415, 8380414, 0, 8380414, 8380414, + 1, 2, 8380416, 1, 1, 8380414, 2, 8380415, + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeqEta(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/sample.go b/src/circl/sign/dilithium/mode4aes/internal/sample.go new file mode 100644 index 00000000000..cdf36bced75 --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/sample.go @@ -0,0 +1,560 @@ +package internal + +import ( + "circl/internal/shake" + "circl/simd/keccakf1600" + + "circl/sign/dilithium/internal/common" + + "encoding/binary" +) + +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() && !UseAES + +// For each i, sample ps[i] uniformly with coefficients of norm less than γ₁ +// using the the given seed and nonces[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, + nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE256 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE256 is 136 --- i.e. 17 uint64s. + for j := 0; j < 4; j++ { + state[6*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[16*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + // Each try requires 15 bits. 15 does not divide into 64, nor in 136, + // so we will have to carry some bits from a previous uint64 to the next. + var carry [4]uint32 + + // Shift is the amount of bits in the carry. + var shift [4]uint + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 17 uint64s of each + // of the four SHAKE256 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + + for i := 0; i < 17; i++ { + var t [4]uint32 + tCount := 3 + + // Get the next three or four 20 bit numbers. + qw := state[i*4+j] + qwl := (qw << shift[j]) | uint64(carry[j]) + t[0] = uint32(qwl & 0xfffff) + t[1] = uint32((qwl >> 20) & 0xfffff) + t[2] = uint32((qwl >> 40) & 0xfffff) + + if shift[j] == 16 { + t[3] = uint32(qw >> 44) + shift[j] = 0 + carry[j] = 0 + tCount = 4 + } else { + shift[j] += 4 + carry[j] = uint32(qw >> (64 - shift[j])) + } + + // Check if they're coefficients. + for k := 0; k < tCount; k++ { + if t[k] <= 2*common.Gamma1-2 { + ps[j][idx[j]] = common.Q + common.Gamma1 - 1 - t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// For each i, sample ps[i] uniformly from the given seed and nonces[i]. +// ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the nonces, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b...001) and the end of the padding 0b100... + // Recall that the rate of SHAKE128 is 168 --- i.e. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(nonces[j]) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = common.N // mark nil polynomial as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each + // of the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + done = false + for i := 0; i < 7; i++ { + var t [8]uint32 + t[0] = uint32(state[i*3*4+j] & 0x7fffff) + t[1] = uint32((state[i*3*4+j] >> 24) & 0x7fffff) + t[2] = uint32((state[i*3*4+j] >> 48) | + ((state[(i*3+1)*4+j] & 0x7f) << 16)) + t[3] = uint32((state[(i*3+1)*4+j] >> 8) & 0x7fffff) + t[4] = uint32((state[(i*3+1)*4+j] >> 32) & 0x7fffff) + t[5] = uint32((state[(i*3+1)*4+j] >> 56) | + ((state[(i*3+2)*4+j] & 0x7fff) << 8)) + t[6] = uint32((state[(i*3+2)*4+j] >> 16) & 0x7fffff) + t[7] = uint32((state[(i*3+2)*4+j] >> 40) & 0x7fffff) + + for k := 0; k < 8; k++ { + if t[k] < common.Q { + ps[j][idx[j]] = t[k] + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + } + } + } +} + +// Sample p uniformly from the given seed and nonce. +// +// p will be normalized. +func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { + var i, length int + var buf [12 * 16]byte // fits 168B SHAKE-128 rate and 12 16B AES blocks + + if UseAES { + length = 12 * 16 + } else { + length = 168 + } + + sample := func() { + // Note that 3 divides into 168 and 12*16, so we use up buf completely. + for j := 0; j < length && i < common.N; j += 3 { + t := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0x7fffff + + // We use rejection sampling + if t < common.Q { + p[i] = t + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample p uniformly with coefficients of norm less than or equal η, +// using the given seed and nonce. +// +// p will not be normalized, but will have coefficients in [q-η,q+η]. +func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { + // Assumes 2 < η < 8. + var i, length int + var buf [11 * 16]byte // fits 168B SHAKE-128 rate and 11 16B AES blocks + + if UseAES { + length = 11 * 16 + } else { + length = 168 + } + + sample := func() { + // We use rejection sampling + for j := 0; j < length && i < common.N; j++ { + var t1, t2 uint32 + if Eta <= 3 { // branch is eliminated by compiler + t1 = uint32(buf[j]) & 7 + t2 = uint32(buf[j]) >> 5 + } else { + t1 = uint32(buf[j]) & 15 + t2 = uint32(buf[j]) >> 4 + } + if t1 <= 2*Eta { + p[i] = common.Q + Eta - t1 + i++ + } + if t2 <= 2*Eta && i < common.N { + p[i] = common.Q + Eta - t2 + i++ + } + } + } + + if UseAES { + h := common.NewAesStream128(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:length]) + sample() + } + } else { + var iv [32 + 2]byte // 32 byte seed + uint16 nonce + + h := shake.NewShake128() + copy(iv[:32], seed[:]) + iv[32] = uint8(nonce) + iv[33] = uint8(nonce >> 8) + + // 168 is SHAKE-128 rate + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[:168]) + sample() + } + } +} + +// Sample v[i] uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce+i +// +// v[i] will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func VecLDeriveUniformLeGamma1(v *VecL, seed *[48]byte, nonce uint16) { + if !DeriveX4Available { + for i := 0; i < L; i++ { + PolyDeriveUniformLeGamma1(&v[i], seed, nonce+uint16(i)) + } + return + } + + var ps [4]*common.Poly + nonces := [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3} + for i := 0; i < L && i < 4; i++ { + ps[i] = &v[i] + } + + // PolyDeriveUniformLeGamma1X4 is slower than, but not twice as slow as, + // PolyDeriveUniformLeGamma. + PolyDeriveUniformLeGamma1X4(ps, seed, nonces) + if L == 5 { + PolyDeriveUniformLeGamma1(&v[L-1], seed, nonce+4) + } else if L > 5 || L < 2 { + panic("VecLDeriveUniformLeGamma1 does not support that L") + } +} + +// Sample p uniformly with coefficients of norm less than γ₁ using the +// given seed and nonce. +// +// p will not be normalized, but have coefficients in the +// interval (q-γ₁,q+γ₁). +func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { + // Assumes γ₁ is less than 2²⁰. + var length, i int + + // Fits 10 16B AES blocks, which aligns nicely as we take 5 bytes at + // a time. The SHAKE-256 rate, however, is 136. As 136 is 1 modulo 5, + // we are left with 1 byte after the first block, which we include in the + // next block. So we need 4 bytes leeway in our buffer. The total 160 + // fits easily in 160. + var buf [160]byte + + sample := func() { + // We use rejection sampling + for j := 0; j < length-4 && i < common.N; j += 5 { + t1 := (uint32(buf[j]) | (uint32(buf[j+1]) << 8) | + (uint32(buf[j+2]) << 16)) & 0xfffff + t2 := ((uint32(buf[j+2]) >> 4) | (uint32(buf[j+3]) << 4) | + (uint32(buf[j+4]) << 12)) + + if t1 <= 2*common.Gamma1-2 { + p[i] = common.Q + common.Gamma1 - 1 - t1 + i++ + } + if t2 <= 2*common.Gamma1-2 && i < common.N { + p[i] = common.Q + common.Gamma1 - 1 - t2 + i++ + } + } + } + if UseAES { + length = 160 + h := common.NewAesStream256(seed, nonce) + + for i < common.N { + h.SqueezeInto(buf[:]) + sample() + } + } else { + length = 136 + var iv [48 + 2]byte // 48 byte seed + uint16 nonce + bufOffset := 0 // where to put the next block + + h := shake.NewShake256() + copy(iv[:48], seed[:]) + iv[48] = uint8(nonce) + iv[49] = uint8(nonce >> 8) + _, _ = h.Write(iv[:]) + + for i < common.N { + _, _ = h.Read(buf[bufOffset : bufOffset+136]) + sample() + + bufOffset++ + if bufOffset == 5 { + bufOffset = 0 + } + + // Move remaining bytes at the end to the start. + for j := 0; j < bufOffset; j++ { + buf[j] = buf[135+j] + } + } + } +} + +// For each i, sample ps[i] uniformly with 60 non-zero coefficients in {q-1,1} +// using the the given seed and w1[i]. ps[i] may be nil and is ignored +// in that case. ps[i] will be normalized. +// +// Can only be called when DeriveX4Available is true. +// +// This function is currently not used (yet). +func PolyDeriveUniformB60X4(ps [4]*common.Poly, seed *[48]byte, + w1 [4]*VecK) { + // Pack the w1s + var w1Packed [4][common.PolyLe16Size * K]byte + for j := 0; j < 4; j++ { + if ps[j] != nil { + w1[j].PackLe16(w1Packed[j][:]) + } + } + + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 6; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the start of the packed w₁s + offset := 0 // offset into w1Packed[j] + for i := 6; i < 17; i++ { + for j := 0; j < 4; j++ { + state[i*4+j] = binary.LittleEndian.Uint64(w1Packed[j][offset : offset+8]) + } + offset += 8 + } + + offset -= 8 + + // Absorb the remainder of the packed w₁s. +PermuteLoop: + for { + perm.Permute() + + for i := 0; i < 17; i++ { + offset += 8 + if offset == len(w1Packed[0]) { + // SHAKE256 domain separator and padding + for j := 0; j < 4; j++ { + state[i*4+j] ^= 0x1f + state[16*4+j] ^= 0x80 << 56 + } + perm.Permute() + + break PermuteLoop + } + + for j := 0; j < 4; j++ { + state[i*4+j] ^= binary.LittleEndian.Uint64( + w1Packed[j][offset : offset+8]) + } + } + } + + var signs [4]uint64 + var idx [4]uint16 // indices into ps + + for j := 0; j < 4; j++ { + if ps[j] != nil { + signs[j] = state[j] + *ps[j] = common.Poly{} // zero ps[j] + idx[j] = common.N - 60 + } else { + idx[j] = common.N // mark as completed + } + } + + stateOffset := 1 + for { + done := true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == common.N { + continue + } + + for i := stateOffset; i < 17; i++ { + var bs [8]byte + binary.LittleEndian.PutUint64(bs[:], state[4*i+j]) + for k := 0; k < 8; k++ { + b := uint16(bs[k]) + + if b > idx[j] { + continue + } + + ps[j][idx[j]] = ps[j][b] + ps[j][b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + ps[j][b] ^= uint32((-(signs[j] & 1)) & (1 | (common.Q - 1))) + signs[j] >>= 1 + + idx[j]++ + if idx[j] == common.N { + continue PolyLoop + } + } + } + + done = false + } + + if done { + break + } + + perm.Permute() + stateOffset = 0 + } +} + +// Samples p uniformly with 60 non-zero coefficients in {q-1,1}. +// +// The polynomial p will be normalized. +func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { + var w1Packed [common.PolyLe16Size * K]byte + var buf [136]byte // SHAKE-256 rate is 136 + + w1.PackLe16(w1Packed[:]) + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(w1Packed[:]) + _, _ = h.Read(buf[:]) + + // Essentially we generate a sequence of 60 ones or minus ones, + // prepend 196 zeroes and shuffle the concatenation using the + // usual algorithm (Fisher--Yates.) + signs := binary.LittleEndian.Uint64(buf[:]) + bufOff := 8 // offset into buf + + *p = common.Poly{} // zero p + for i := uint16(common.N - 60); i < common.N; i++ { + var b uint16 + + // Find location of where to move the new coefficient to using + // rejection sampling. + for { + if bufOff >= 136 { + _, _ = h.Read(buf[:]) + bufOff = 0 + } + + b = uint16(buf[bufOff]) + bufOff++ + + if b <= i { + break + } + } + + p[i] = p[b] + p[b] = 1 + // Takes least significant bit of signs and uses it for the sign. + // Note 1 ^ (1 | (Q-1)) = Q-1. + p[b] ^= uint32((-(signs & 1)) & (1 | (common.Q - 1))) + signs >>= 1 + } +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/sample_test.go b/src/circl/sign/dilithium/mode4aes/internal/sample_test.go new file mode 100644 index 00000000000..1e54642c785 --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/sample_test.go @@ -0,0 +1,405 @@ +package internal + +import ( + "encoding/binary" + "testing" + + "circl/sign/dilithium/internal/common" +) + +func TestVectorDeriveUniform(t *testing.T) { + var p, p2 common.Poly + var seed [32]byte + if UseAES { + p2 = common.Poly{ + 6724291, 310295, 6949524, 4464039, 1482136, 2522903, + 7025059, 3006320, 7286364, 7516512, 3361305, 1955529, + 4765954, 1725325, 6933066, 4299100, 6625173, 4272792, + 583034, 4971409, 2259140, 7715362, 3975394, 2341624, + 5481174, 8150082, 365246, 5491939, 1083120, 7517301, + 3104783, 2475292, 184149, 6425226, 4591622, 5964030, + 4729604, 5471092, 1828227, 1082044, 2516245, 1692580, + 3274844, 5443294, 7256740, 4989638, 3191250, 7479519, + 5124211, 5603858, 1230692, 2513454, 2828034, 4254312, + 1512596, 5245430, 5517392, 2814840, 932545, 6826733, + 3511094, 4075348, 3233981, 7268882, 2913733, 4870249, + 4123492, 8124406, 4016949, 5478752, 2750895, 603525, + 5724798, 3985430, 3483012, 6434230, 3136996, 8297976, + 4107616, 7307748, 6962904, 7544473, 1193110, 3448595, + 4814773, 5607932, 8221314, 1054046, 1541208, 1866050, + 8227412, 2925778, 5293953, 2065416, 4972769, 3616283, + 7990594, 1105530, 7121836, 1170740, 7417431, 633146, + 253820, 7235019, 3539504, 6807707, 451390, 5481526, + 2859902, 1063061, 4579730, 7126652, 7033767, 4294814, + 1414604, 7620048, 1953268, 8304556, 1156814, 1182881, + 5311519, 3057534, 5277666, 682843, 2070398, 2874278, + 4859533, 6376664, 6694074, 1590242, 2620706, 8331066, + 5643845, 5037538, 2891516, 7004879, 3754327, 5031296, + 5463118, 2420870, 8116529, 5517696, 7435129, 3873963, + 710407, 713806, 175647, 4274571, 2655021, 7319503, + 3027243, 7129679, 4213435, 2429323, 4643873, 4568526, + 649664, 1720514, 6497260, 2683517, 7672754, 7105190, + 3148405, 5898369, 5667677, 8050874, 1587139, 7315260, + 4337416, 2202680, 2338714, 557467, 6752058, 2469794, + 485071, 1617604, 3590498, 2151466, 2005823, 7727956, + 7776292, 6783433, 6787146, 1732833, 3596857, 7436284, + 4483349, 4970142, 4472608, 6478342, 1236215, 5695744, + 2280717, 2889355, 3233946, 5187812, 978685, 5177364, + 2922353, 4824807, 5302883, 6739803, 8092453, 5883903, + 816553, 6041174, 8317591, 1459178, 5332455, 1835058, + 1368601, 2820950, 3479224, 2589540, 7992934, 3421045, + 4657128, 8292902, 4153567, 3553988, 7830320, 6722913, + 2555309, 4149801, 8328975, 1560545, 7757473, 3106458, + 4310856, 7135453, 3481032, 652626, 1841361, 8126828, + 6250018, 300536, 7380070, 8174419, 1418793, 6208185, + 3906256, 6679016, 1605701, 3561489, 5819724, 5746996, + 8044214, 7087187, 7102330, 4962927, 4253983, 7108567, + 4119736, 6584065, 441634, 6941656, + } + } else { + p2 = common.Poly{ + 2901364, 562527, 5258502, 3885002, 4190126, 4460268, 6884052, + 3514511, 5383040, 213206, 2155865, 5179607, 3551954, 2312357, + 6066350, 8126097, 1179080, 4787182, 6552182, 6713644, + 1561067, 7626063, 7859743, 5052321, 7032876, 7815031, 157938, + 1865184, 490802, 5717642, 3451902, 7000218, 3743250, 1677431, + 1875427, 5596150, 671623, 3819041, 6247594, 1014875, 4933545, + 7122446, 6682963, 3388398, 3335295, 943002, 1145083, 3113071, + 105967, 1916675, 7474561, 1107006, 700548, 2147909, 1603855, + 5049181, 437882, 6118899, 5656914, 6731065, 3066622, 865453, + 5427634, 981549, 4650873, 861291, 4003872, 5104220, 6171453, + 3723302, 7426315, 6137283, 4874820, 6052561, 53441, 5032874, + 5614778, 2248550, 1756499, 8280764, 8263880, 7600081, + 5118374, 795344, 7543392, 6869925, 1841187, 4181568, 584562, + 7483939, 4938664, 6863397, 5126354, 5218129, 6236086, + 4149293, 379169, 4368487, 7490569, 3409215, 1580463, 3081737, + 1278732, 7109719, 7371700, 2097931, 399836, 1700274, 7188595, + 6830029, 1548850, 6593138, 6849097, 1518037, 2859442, + 7772265, 7325153, 3281191, 7856131, 4995056, 4684325, + 1351194, 8223904, 6817307, 2484146, 131782, 397032, 7436778, + 7973479, 3171829, 5624626, 3540123, 7150120, 8313283, + 3604714, 1043574, 117692, 7797783, 7909392, 903315, 7335342, + 7501562, 5826142, 2709813, 8245473, 2369045, 2782257, + 5762833, 6474114, 6862031, 424522, 594248, 2626630, 7659983, + 5642869, 4075194, 1592129, 245547, 5271031, 3205046, 982375, + 267873, 1286496, 7230481, 3208972, 7485411, 676111, 4944500, + 2959742, 5934456, 1414847, 6067948, 1709895, 4648315, 126008, + 8258986, 2183134, 2302072, 4674924, 4306056, 7465311, + 6500270, 4247428, 4016815, 4973426, 294287, 2456847, 3289700, + 2732169, 1159447, 5569724, 140001, 3237977, 8007761, 5874533, + 255652, 3119586, 2102434, 6248250, 8152822, 8006066, 7708625, + 6997719, 6260212, 6186962, 6636650, 7836834, 7998017, + 2061516, 1197591, 1706544, 733027, 2392907, 2700000, 8254598, + 4488002, 160495, 2985325, 2036837, 2703633, 6406550, 3579947, + 6195178, 5552390, 6804584, 6305468, 5731980, 6095195, + 3323409, 1322661, 6690942, 3374630, 5615167, 479044, 3136054, + 4380418, 2833144, 7829577, 1770522, 6056687, 240415, 14780, + 3740517, 5224226, 3547288, 2083124, 4699398, 3654239, + 5624978, 585593, 3655369, 2281739, 3338565, 1908093, 7784706, + 4352830, + } + } + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + PolyDeriveUniform(&p, &seed, 30000) + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniform(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniform(&p, &seed, uint16(i)) + if !PolyNormalized(&p) { + t.Fatal() + } + } +} + +func TestDeriveUniformLeqEta(t *testing.T) { + var p common.Poly + var seed [32]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeqEta(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-Eta || p[j] > common.Q+Eta { + t.Fatal() + } + } + } +} + +func TestDeriveUniformLeGamma1(t *testing.T) { + var p common.Poly + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + for j := 0; j < common.N; j++ { + if p[j] < common.Q-common.Gamma1 || p[j] > common.Q+common.Gamma1 { + t.Fatal() + } + } + } +} + +func TestVectorDeriveUniformLeGamma1(t *testing.T) { + var p, p2 common.Poly + var seed [48]byte + if UseAES { + p2 = common.Poly{ + 90940, 8133770, 8210940, 8218464, 8362467, 431142, 98024, + 320453, 7892373, 144162, 495313, 7910122, 308198, 8024421, + 8313699, 8323445, 8242093, 7946588, 418979, 427179, 353562, + 20972, 455962, 213062, 361787, 8141790, 8321931, 7885366, + 88645, 181202, 8094142, 8303121, 8059515, 7919812, 191865, + 7910073, 7896561, 8096830, 7899355, 8338900, 72693, 236799, + 8183042, 347570, 8153528, 8364233, 8077851, 8312277, 104682, + 8037310, 8356199, 7994081, 240369, 70229, 8108858, 8175836, + 466639, 50909, 339919, 8029663, 341659, 154398, 64345, + 97101, 212245, 8285367, 521225, 325882, 296235, 8110929, + 8015814, 7953234, 158409, 329908, 8331330, 449258, 167701, + 8197796, 8228247, 7940020, 1985, 304704, 475316, 8037482, + 8250449, 304557, 8216567, 432266, 213295, 8162216, 381001, + 7995314, 7988689, 128534, 245586, 67041, 8232744, 398441, + 223116, 443612, 149856, 222852, 158723, 54746, 171906, + 163070, 353915, 8263276, 8016812, 8229081, 31827, 489715, + 450171, 8069106, 53220, 7932381, 7955335, 8197363, 201044, + 8306733, 446376, 8211025, 7889271, 8070595, 495514, 8158685, + 7524, 7973394, 247673, 4293, 184924, 457334, 138349, 8123964, + 284179, 8255307, 8068216, 8291492, 243759, 8060601, 20962, + 8058389, 420953, 8305974, 455136, 8218139, 7121, 147703, + 7951253, 394376, 8127066, 365861, 8062390, 8138732, 366555, + 8280514, 221, 395861, 7968769, 7977119, 8098083, 343056, + 8190769, 223361, 163270, 203059, 109219, 8228600, 8127695, + 321016, 295979, 8201961, 49891, 8335504, 8190386, 8190984, + 8278654, 336364, 7878013, 7922436, 7974101, 8075534, 8200852, + 8333820, 415982, 8089662, 149553, 7946740, 474102, 7937116, + 8026845, 356056, 191053, 86928, 8218644, 8375040, 8029184, + 8025675, 8193350, 295360, 7905768, 487174, 8362961, 386108, + 282213, 8373318, 50167, 8238992, 7911505, 493459, 8335164, + 8079327, 250697, 263154, 221028, 40778, 87515, 8372585, + 504728, 7980935, 8307600, 298972, 427523, 93352, 89915, + 391490, 80320, 7975008, 336136, 7949815, 8048682, 8332244, + 8204778, 8177783, 7910684, 7925292, 518641, 59663, 53608, + 222225, 463772, 8022091, 8173722, 8291385, 472741, 8105898, + 7943299, 267137, 7957660, 371874, 409084, 203750, 477334, + 83412, 111278, 120444, + } + } else { + p2 = common.Poly{ + 338083, 7978692, 8044913, 373628, 427855, 79725, 91018, + 349821, 501552, 7955127, 8316400, 290708, 216142, 8199666, + 8040144, 109426, 8177916, 8200218, 8125680, 358131, 160961, + 497383, 25361, 156297, 8033745, 7897189, 48397, 498732, + 464556, 7862704, 8308667, 236080, 91240, 8328377, 326190, + 509979, 8313264, 8106493, 8210965, 8328036, 172602, 8108765, + 8192963, 8361660, 8026473, 7932022, 322006, 8305874, 8254440, + 7866474, 373371, 8023413, 8221878, 486124, 36080, 8324512, + 8042056, 7984472, 8048111, 7910387, 8205382, 8259636, 188609, + 8316587, 59306, 119803, 8067108, 8155455, 8153450, 7983908, + 8222256, 21521, 114297, 8069037, 151621, 8014482, 8052856, + 376107, 8004652, 175001, 8079461, 8351123, 8021484, 144547, + 7908116, 8278100, 8136941, 142399, 8026843, 8081852, 124334, + 242796, 266768, 7919478, 7954016, 28927, 8329064, 514031, + 423911, 27907, 8142788, 8078298, 273978, 382723, 8148646, + 186476, 8030712, 8067268, 356250, 145817, 60045, 122764, + 56856, 8225416, 136437, 199652, 8343127, 8109765, 7936848, + 446966, 8351681, 288663, 409663, 512988, 8350788, 8191864, + 8366223, 281267, 7921696, 8213978, 442484, 67457, 8030602, + 238514, 230458, 8301866, 8359700, 150320, 143893, 461735, + 225443, 8027502, 151113, 365244, 7911438, 82498, 405398, + 8207009, 8108255, 367485, 514660, 8294055, 8168958, 127725, + 402955, 8051625, 7859029, 7980052, 321819, 7949587, 125778, + 8287078, 131972, 499609, 256795, 8180323, 8269393, 5878, + 8145473, 8238676, 383855, 415547, 424071, 241989, 8165743, + 8207329, 149608, 8315331, 7901850, 8114275, 360650, 516061, + 255090, 8277977, 270877, 8125200, 479248, 7991711, 8028595, + 73426, 8215429, 208217, 153872, 429336, 229856, 461204, + 236682, 7930158, 8298847, 228327, 8009399, 8111520, 345025, + 386495, 93454, 8336429, 8161305, 7980811, 286795, 162808, + 224476, 7972825, 85118, 287488, 8029791, 119071, 371, 518524, + 473496, 451205, 127000, 19233, 211519, 2442, 7950959, 481888, + 8041598, 8281176, 437202, 7912610, 8080153, 8237500, 7926828, + 8009421, 204880, 62495, 8192310, 8314388, 98616, 182368, + 323894, 59901, 481049, 8139275, 7872144, 254106, 376257, + 93339, 301342, 366536, 438920, 84773, 461471, 8125755, + 7930085, 405116, + } + } + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + PolyDeriveUniformLeGamma1(&p, &seed, 30000) + p.Normalize() + if p != p2 { + t.Fatalf("%v != %v", p, p2) + } +} + +func TestDeriveUniformB60(t *testing.T) { + var p common.Poly + var w1 VecK + var seed [48]byte + for i := 0; i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + PolyDeriveUniformB60(&p, &seed, &w1) + nonzero := 0 + for j := 0; j < common.N; j++ { + if p[j] != 0 { + if p[j] != 1 && p[j] != common.Q-1 { + t.Fatal() + } + nonzero++ + } + } + if nonzero != 60 { + t.Fatal() + } + } +} + +func TestDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [32]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, &seed, + nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniform(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatal() + } + } +} + +func TestDeriveUniformB60X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + var w1s [4]VecK + for j := 0; j < 4; j++ { + for k := 0; k < K; k++ { + for i := 0; i < common.N; i++ { + w1s[j][k][i] = uint32(j+k*4+i*4*K) & 15 + } + } + } + PolyDeriveUniformB60X4( + [4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, + [4]*VecK{&w1s[0], &w1s[1], &w1s[2], &w1s[3]}, + ) + for j := 0; j < 4; j++ { + PolyDeriveUniformB60(&p, &seed, &w1s[j]) + if ps[j] != p { + t.Fatalf("%v %v", ps[j], p) + } + } +} + +func TestDeriveUniformLeGamma1X4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + var ps [4]common.Poly + var p common.Poly + var seed [48]byte + nonces := [4]uint16{12345, 54321, 13532, 37377} + + for i := 0; i < len(seed); i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&ps[0], &ps[1], &ps[2], &ps[3]}, + &seed, nonces) + for i := 0; i < 4; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, nonces[i]) + if ps[i] != p { + t.Fatalf("%d\n%v\n%v", i, p, ps[i]) + } + } +} + +func BenchmarkPolyDeriveUniformB60(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60(&p, &seed, &w1) + } +} + +func BenchmarkPolyDeriveUniformB60X4(b *testing.B) { + var seed [48]byte + var p common.Poly + var w1 VecK + for i := 0; i < b.N; i++ { + w1[0][0] = uint32(i) + PolyDeriveUniformB60X4( + [4]*common.Poly{&p, &p, &p, &p}, + &seed, + [4]*VecK{&w1, &w1, &w1, &w1}, + ) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var seed [32]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniform(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [32]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformX4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1(b *testing.B) { + var seed [48]byte + var p common.Poly + for i := 0; i < b.N; i++ { + PolyDeriveUniformLeGamma1(&p, &seed, uint16(i)) + } +} + +func BenchmarkPolyDeriveUniformLeGamma1X4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + var seed [48]byte + var p [4]common.Poly + for i := 0; i < b.N; i++ { + nonce := uint16(4 * i) + PolyDeriveUniformLeGamma1X4([4]*common.Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, [4]uint16{nonce, nonce + 1, nonce + 2, nonce + 3}) + } +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/vec.go b/src/circl/sign/dilithium/mode4aes/internal/vec.go new file mode 100644 index 00000000000..177792c2754 --- /dev/null +++ b/src/circl/sign/dilithium/mode4aes/internal/vec.go @@ -0,0 +1,279 @@ +package internal + +import ( + "circl/sign/dilithium/internal/common" +) + +// A vector of L polynomials. +type VecL [L]common.Poly + +// A vector of K polynomials. +type VecK [K]common.Poly + +// Normalize the polynomials in this vector. +func (v *VecL) Normalize() { + for i := 0; i < L; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecL) NormalizeAssumingLe2Q() { + for i := 0; i < L; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecL) Add(w, u *VecL) { + for i := 0; i < L; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecL) NTT() { + for i := 0; i < L; i++ { + v[i].NTT() + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecL) Exceeds(bound uint32) bool { + for i := 0; i < L; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Power2Round(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecL) Decompose(v0PlusQ, v1 *VecL) { + for i := 0; i < L; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecL) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeqEta(). +func (v *VecL) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sequentially packs each polynomial using Poly.PackLeGamma1(). +func (v *VecL) PackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].PackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Sets v to the polynomials packed in buf using VecL.PackLeGamma1(). +func (v *VecL) UnpackLeGamma1(buf []byte) { + offset := 0 + for i := 0; i < L; i++ { + v[i].UnpackLeGamma1(buf[offset:]) + offset += common.PolyLeGamma1Size + } +} + +// Normalize the polynomials in this vector. +func (v *VecK) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Normalize the polynomials in this vector assuming their coefficients +// are already bounded by 2q. +func (v *VecK) NormalizeAssumingLe2Q() { + for i := 0; i < K; i++ { + v[i].NormalizeAssumingLe2Q() + } +} + +// Sets v to w + u. Does not normalize. +func (v *VecK) Add(w, u *VecK) { + for i := 0; i < K; i++ { + v[i].Add(&w[i], &u[i]) + } +} + +// Checks whether any of the coefficients exceeds the given bound in supnorm +// +// Requires the vector to be normalized. +func (v *VecK) Exceeds(bound uint32) bool { + for i := 0; i < K; i++ { + if v[i].Exceeds(bound) { + return true + } + } + return false +} + +// Applies Poly.Power2Round componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Power2Round(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Power2Round(&v0PlusQ[i], &v1[i]) + } +} + +// Applies Poly.Decompose componentwise. +// +// Requires the vector to be normalized. +func (v *VecK) Decompose(v0PlusQ, v1 *VecK) { + for i := 0; i < K; i++ { + v[i].Decompose(&v0PlusQ[i], &v1[i]) + } +} + +// Sets v to the hint vector for v0 the modified low bits and v1 +// the unmodified high bits --- see makeHint(). +// +// Returns the number of ones in the hint vector. +func (v *VecK) MakeHint(v0, v1 *VecK) (pop uint32) { + for i := 0; i < K; i++ { + pop += v[i].MakeHint(&v0[i], &v1[i]) + } + return +} + +// Computes corrections to the high bits of the polynomials in the vector +// w using the hints in h and sets v to the corrected high bits. Returns v. +// See useHint(). +func (v *VecK) UseHint(q, hint *VecK) *VecK { + for i := 0; i < K; i++ { + v[i].UseHint(&q[i], &hint[i]) + } + return v +} + +// Sequentially packs each polynomial using Poly.PackT1(). +func (v *VecK) PackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sets v to the vector packed into buf by PackT1(). +func (v *VecK) UnpackT1(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT1(buf[offset:]) + offset += common.PolyT1Size + } +} + +// Sequentially packs each polynomial using Poly.PackT0(). +func (v *VecK) PackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sets v to the vector packed into buf by PackT0(). +func (v *VecK) UnpackT0(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].UnpackT0(buf[offset:]) + offset += common.PolyT0Size + } +} + +// Sequentially packs each polynomial using Poly.PackLeqEta(). +func (v *VecK) PackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyPackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Sets v to the polynomials packed in buf using VecK.PackLeqEta(). +func (v *VecK) UnpackLeqEta(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + PolyUnpackLeqEta(&v[i], buf[offset:]) + offset += PolyLeqEtaSize + } +} + +// Applies NTT componentwise. See Poly.NTT() for details. +func (v *VecK) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sequentially packs each polynomial using Poly.PackLe16(). +func (v *VecK) PackLe16(buf []byte) { + offset := 0 + for i := 0; i < K; i++ { + v[i].PackLe16(buf[offset:]) + offset += common.PolyLe16Size + } +} + +// Sets v to a - b. +// +// Warning: assumes coefficients of the polynomials of b are less than 2q. +func (v *VecK) Sub(a, b *VecK) { + for i := 0; i < K; i++ { + v[i].Sub(&a[i], &b[i]) + } +} + +// Sets v to 2ᵈ w without reducing. +func (v *VecK) MulBy2toD(w *VecK) { + for i := 0; i < K; i++ { + v[i].MulBy2toD(&w[i]) + } +} + +// Applies InvNTT componentwise. See Poly.InvNTT() for details. +func (v *VecK) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies Poly.ReduceLe2Q() componentwise. +func (v *VecK) ReduceLe2Q() { + for i := 0; i < K; i++ { + v[i].ReduceLe2Q() + } +} diff --git a/src/circl/sign/doc.go b/src/circl/sign/doc.go new file mode 100644 index 00000000000..d3fe8ef041e --- /dev/null +++ b/src/circl/sign/doc.go @@ -0,0 +1,2 @@ +// Package sign provides variety of digital signature schemes. +package sign diff --git a/src/circl/sign/ed25519/ed25519.go b/src/circl/sign/ed25519/ed25519.go new file mode 100644 index 00000000000..6ade147389c --- /dev/null +++ b/src/circl/sign/ed25519/ed25519.go @@ -0,0 +1,352 @@ +// Package ed25519 implements Ed25519 signature scheme as described in RFC-8032. +// +// References: +// - RFC8032 https://rfc-editor.org/rfc/rfc8032.txt +// - Ed25519 https://ed25519.cr.yp.to/ +// - High-speed high-security signatures. https://doi.org/10.1007/s13389-012-0027-1 +package ed25519 + +import ( + "bytes" + "crypto" + cryptoRand "crypto/rand" + "crypto/sha512" + "errors" + "fmt" + "io" + "strconv" +) + +const ( + // PublicKeySize is the length in bytes of Ed25519 public keys. + PublicKeySize = 32 + // PrivateKeySize is the length in bytes of Ed25519 private keys. + PrivateKeySize = 32 + // SignatureSize is the length in bytes of signatures. + SignatureSize = 64 + + // ContextMaxSize is the maximum length (in bytes) allowed for context. + ContextMaxSize = 255 +) +const ( + paramB = 256 / 8 // Size of keys in bytes. +) + +// Options are the options that the ed25519 functions can take. +type Options struct { + // Hash can be crypto.Hash(0) for Ed25519/Ed25519ctx, or crypto.SHA512 + // for Ed25519ph. + crypto.Hash + + // Context is an optional domain separation string for Ed25519ph and a + // must for Ed25519ctx. Its length must be less or equal than 255 bytes. + Context string +} + +// PublicKey represents a public key of Ed25519. +type PublicKey []byte + +// PrivateKey represents a private key of Ed25519. +type PrivateKey []byte + +// KeyPair implements crypto.Signer (golang.org/pkg/crypto/#Signer) interface. +type KeyPair struct { + private [PrivateKeySize]byte + public [PublicKeySize]byte +} + +// GetPrivate returns a copy of the private key. +func (kp *KeyPair) GetPrivate() PrivateKey { z := kp.private; return z[:] } + +// GetPublic returns a copy of the public key. +func (kp *KeyPair) GetPublic() PublicKey { z := kp.public; return z[:] } + +// Seed returns the private key seed. +func (kp *KeyPair) Seed() []byte { return kp.GetPrivate() } + +// Public returns a crypto.PublicKey. +func (kp *KeyPair) Public() crypto.PublicKey { return kp.GetPublic() } + +// Sign creates a signature of a message given a key pair. +// This function supports all the three signature variants defined in RFC-8032, +// namely Ed25519 (or pure EdDSA), Ed25519Ph, and Ed25519Ctx. +// The opts.HashFunc() must return zero to specify either Ed25519 or Ed25519Ctx +// variant. This can be achieved by passing crypto.Hash(0) as the value for opts. +// The opts.HashFunc() must return SHA512 to specify the Ed25519Ph variant. +// This can be achieved by passing crypto.SHA512 as the value for opts. +// Use an Options struct to pass a context string for signing. +func (kp *KeyPair) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) ([]byte, error) { + var ctx string + if o, ok := opts.(*Options); ok { + ctx = o.Context + } + + switch opts.HashFunc() { + case crypto.SHA512: + return kp.SignPh(message, ctx) + case crypto.Hash(0): + if len(ctx) > 0 { + return kp.SignWithCtx(message, ctx) + } + + return kp.SignPure(message) + default: + return nil, errors.New("ed25519: bad hash algorithm") + } +} + +// GenerateKey produces public and private keys using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*KeyPair, error) { + if rand == nil { + rand = cryptoRand.Reader + } + seed := make(PrivateKey, PrivateKeySize) + if _, err := io.ReadFull(rand, seed); err != nil { + return nil, err + } + return NewKeyFromSeed(seed), nil +} + +// NewKeyFromSeed generates a pair of Ed25519 keys given a private key. +func NewKeyFromSeed(seed PrivateKey) *KeyPair { + if len(seed) != PrivateKeySize { + panic("ed25519: bad private key length") + } + var P pointR1 + k := sha512.Sum512(seed) + clamp(k[:]) + reduceModOrder(k[:paramB], false) + P.fixedMult(k[:paramB]) + + pair := &KeyPair{} + copy(pair.private[:], seed) + _ = P.ToBytes(pair.public[:]) + return pair +} + +func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { + H := sha512.New() + var d []byte + + if preHash { + _, _ = H.Write(message) + d = H.Sum(nil) + H.Reset() + } else { + d = message + } + + // 1. Hash the 32-byte private key using SHA-512. + _, _ = H.Write(kp.private[:]) + h := H.Sum(nil) + clamp(h[:]) + prefix, s := h[paramB:], h[:paramB] + + // 2. Compute SHA-512(dom2(F, C) || prefix || PH(M)) + H.Reset() + + writeDom(H, ctx, preHash) + + _, _ = H.Write(prefix) + _, _ = H.Write(d) + r := H.Sum(nil) + reduceModOrder(r[:], true) + + // 3. Compute the point [r]B. + var P pointR1 + P.fixedMult(r[:paramB]) + R := (&[paramB]byte{})[:] + err := P.ToBytes(R) + + // 4. Compute SHA512(dom2(F, C) || R || A || PH(M)). + H.Reset() + + writeDom(H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(kp.public[:]) + _, _ = H.Write(d) + hRAM := H.Sum(nil) + + reduceModOrder(hRAM[:], true) + + // 5. Compute S = (r + k * s) mod order. + S := (&[paramB]byte{})[:] + calculateS(S, r[:paramB], hRAM[:paramB], s) + + // 6. The signature is the concatenation of R and S. + var signature [SignatureSize]byte + copy(signature[:paramB], R[:]) + copy(signature[paramB:], S[:]) + + return signature[:], err +} + +// SignPure creates a signature of a message given a keypair. +// This function supports the signature variant defined in RFC-8032: Ed25519, +// also known as the pure version of EdDSA. +func (kp *KeyPair) SignPure(message []byte) ([]byte, error) { + ctx := "" + return sign(kp, message, []byte(ctx), false) +} + +// SignPh creates a signature of a message given a keypair. +// This function supports the signature variant defined in RFC-8032: Ed25519ph, +// meaning it internally hashes the message using SHA-512. +// Context could be passed to this function, which length should be no more than +// 255. It can be empty. +func (kp *KeyPair) SignPh(message []byte, ctx string) ([]byte, error) { + if len(ctx) > ContextMaxSize { + return nil, fmt.Errorf("ed25519: bad context length: " + strconv.Itoa(len(ctx))) + } + + return sign(kp, message, []byte(ctx), true) +} + +// SignWithCtx creates a signature of a message given a keypair. +// This function supports the signature variant defined in RFC-8032: Ed25519ctx, +// meaning it handles unhashed messages with context. +// Context should be passed to this function, which length should be no more than +// 255. It should not be empty. +func (kp *KeyPair) SignWithCtx(message []byte, ctx string) ([]byte, error) { + if len(ctx) == 0 || len(ctx) > ContextMaxSize { + return nil, fmt.Errorf("ed25519: bad context length: %v > %v", len(ctx), ContextMaxSize) + } + + return sign(kp, message, []byte(ctx), false) +} + +func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool { + if len(public) != PublicKeySize || + len(signature) != SignatureSize || + !isLessThanOrder(signature[paramB:]) { + return false + } + + var P pointR1 + if ok := P.FromBytes(public); !ok { + return false + } + + H := sha512.New() + var d []byte + + if preHash { + _, _ = H.Write(message) + d = H.Sum(nil) + H.Reset() + } else { + d = message + } + + R := signature[:paramB] + + writeDom(H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(public) + _, _ = H.Write(d) + hRAM := H.Sum(nil) + reduceModOrder(hRAM[:], true) + + var Q pointR1 + encR := (&[paramB]byte{})[:] + P.neg() + Q.doubleMult(&P, signature[paramB:], hRAM[:paramB]) + _ = Q.ToBytes(encR) + return bytes.Equal(R, encR) +} + +// Verify returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports all the three signature variants defined in RFC-8032, +// namely Ed25519 (or pure EdDSA), Ed25519Ph, and Ed25519Ctx. +// The opts.HashFunc() must return zero to specify either Ed25519 or Ed25519Ctx +// variant. This can be achieved by passing crypto.Hash(0) as the value for opts. +// The opts.HashFunc() must return SHA512 to specify the Ed25519Ph variant. +// This can be achieved by passing crypto.SHA512 as the value for opts. +// Use an Options struct to pass a context string for signing. +func Verify(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { + var ctx string + if o, ok := opts.(*Options); ok { + ctx = o.Context + } + + switch opts.HashFunc() { + case crypto.SHA512: + return VerifyPh(public, message, signature, ctx) + case crypto.Hash(0): + if len(ctx) > 0 { + return VerifyWithCtx(public, message, signature, ctx) + } + + return VerifyPure(public, message, signature) + default: + return false + } +} + +// VerifyPure returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed25519, +// also known as the pure version of EdDSA. +func VerifyPure(public PublicKey, message, signature []byte) bool { + ctx := "" + return verify(public, message, signature, []byte(ctx), false) +} + +// VerifyPh returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed25519ph, +// meaning it internally hashes the message using SHA-512. +// Context could be passed to this function, which length should be no more than +// 255. It can be empty. +func VerifyPh(public PublicKey, message, signature []byte, ctx string) bool { + return verify(public, message, signature, []byte(ctx), true) +} + +// VerifyWithCtx returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded, or when context is +// not provided. +// This function supports the signature variant defined in RFC-8032: Ed25519ctx, +// meaning it does not handle prehashed messages. Non-empty context string must be +// provided, and must not be more than 255 of length. +func VerifyWithCtx(public PublicKey, message, signature []byte, ctx string) bool { + if len(ctx) == 0 || len(ctx) > ContextMaxSize { + return false + } + + return verify(public, message, signature, []byte(ctx), false) +} + +func clamp(k []byte) { + k[0] &= 248 + k[paramB-1] = (k[paramB-1] & 127) | 64 +} + +// isLessThanOrder returns true if 0 <= x < order. +func isLessThanOrder(x []byte) bool { + i := len(order) - 1 + for i > 0 && x[i] == order[i] { + i-- + } + return x[i] < order[i] +} + +func writeDom(h io.Writer, ctx []byte, preHash bool) { + dom2 := "SigEd25519 no Ed25519 collisions" + + if len(ctx) > 0 { + _, _ = h.Write([]byte(dom2)) + if preHash { + _, _ = h.Write([]byte{byte(0x01), byte(len(ctx))}) + } else { + _, _ = h.Write([]byte{byte(0x00), byte(len(ctx))}) + } + _, _ = h.Write(ctx) + } else if preHash { + _, _ = h.Write([]byte(dom2)) + _, _ = h.Write([]byte{0x01, 0x00}) + } +} diff --git a/src/circl/sign/ed25519/ed25519_test.go b/src/circl/sign/ed25519/ed25519_test.go new file mode 100644 index 00000000000..d0060d7ebc2 --- /dev/null +++ b/src/circl/sign/ed25519/ed25519_test.go @@ -0,0 +1,390 @@ +package ed25519_test + +import ( + "bytes" + "crypto" + "crypto/rand" + "errors" + "fmt" + "testing" + + "circl/internal/test" + "circl/sign/ed25519" +) + +func TestWrongPublicKey(t *testing.T) { + wrongPublicKeys := [...][ed25519.PublicKeySize]byte{ + { // y = p + 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + }, + { // y > p + 0xed + 1, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + }, + { // x^2 = u/v = (y^2-1)/(dy^2+1) is not a quadratic residue + 0x9a, 0x0a, 0xbe, 0xc6, 0x23, 0xcb, 0x5a, 0x23, + 0x4e, 0x49, 0xd8, 0x92, 0xc2, 0x72, 0xd5, 0xa8, + 0x27, 0xff, 0x42, 0x07, 0x7d, 0xe3, 0xf2, 0xb4, + 0x74, 0x75, 0x9d, 0x04, 0x34, 0xed, 0xa6, 0x70, + }, + { // y = 1 and x^2 = u/v = 0, and the sign of X is 1 + 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 | 0x80, + }, + { // y = -1 and x^2 = u/v = 0, and the sign of X is 1 + 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f | 0x80, + }, + } + sig := (&[ed25519.SignatureSize]byte{})[:] + for _, public := range wrongPublicKeys { + got := ed25519.VerifyPure(public[:], []byte(""), sig) + want := false + if got != want { + test.ReportError(t, got, want, public) + } + } +} + +func TestSignerPure(t *testing.T) { + // ed25519 + seed := make(ed25519.PrivateKey, ed25519.PrivateKeySize) + _, _ = rand.Read(seed) + key := ed25519.NewKeyFromSeed(seed) + + priv := key.GetPrivate() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + priv = key.Seed() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + + signer := crypto.Signer(key) + ops := crypto.Hash(0) + msg := make([]byte, 16) + _, _ = rand.Read(msg) + sig, err := signer.Sign(nil, msg, ops) + if err != nil { + got := err + var want error + test.ReportError(t, got, want) + } + if len(sig) != ed25519.SignatureSize { + got := len(sig) + want := ed25519.SignatureSize + test.ReportError(t, got, want) + } + + pubKey := key.GetPublic() + pubSigner, ok := signer.Public().(ed25519.PublicKey) + if !ok { + got := ok + want := true + test.ReportError(t, got, want) + } + if !bytes.Equal(pubKey, pubSigner) { + got := pubSigner + want := pubKey + test.ReportError(t, got, want) + } + + got := ed25519.Verify(pubSigner, msg, sig, ops) + want := true + if got != want { + test.ReportError(t, got, want) + } +} + +func TestSignerPh(t *testing.T) { + // ed25519ph + seed := make(ed25519.PrivateKey, ed25519.PrivateKeySize) + _, _ = rand.Read(seed) + key := ed25519.NewKeyFromSeed(seed) + + priv := key.GetPrivate() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + priv = key.Seed() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + + signer := crypto.Signer(key) + ops := crypto.SHA512 + msg := make([]byte, 64) + _, _ = rand.Read(msg) + + sig, err := signer.Sign(nil, msg, ops) + if err != nil { + got := err + var want error + test.ReportError(t, got, want) + } + if len(sig) != ed25519.SignatureSize { + got := len(sig) + want := ed25519.SignatureSize + test.ReportError(t, got, want) + } + + pubKey := key.GetPublic() + pubSigner, ok := signer.Public().(ed25519.PublicKey) + if !ok { + got := ok + want := true + test.ReportError(t, got, want) + } + if !bytes.Equal(pubKey, pubSigner) { + got := pubSigner + want := pubKey + test.ReportError(t, got, want) + } + + got := ed25519.Verify(pubSigner, msg, sig, ops) + want := true + if got != want { + test.ReportError(t, got, want) + } +} + +func TestSignerWithCtx(t *testing.T) { + // ed25519ctx + seed := make(ed25519.PrivateKey, ed25519.PrivateKeySize) + _, _ = rand.Read(seed) + key := ed25519.NewKeyFromSeed(seed) + + priv := key.GetPrivate() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + priv = key.Seed() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + + signer := crypto.Signer(key) + ops := &ed25519.Options{ + Hash: crypto.Hash(0), + Context: "context", + } + msg := make([]byte, 64) + _, _ = rand.Read(msg) + + sig, err := signer.Sign(nil, msg, ops) + if err != nil { + got := err + var want error + test.ReportError(t, got, want) + } + if len(sig) != ed25519.SignatureSize { + got := len(sig) + want := ed25519.SignatureSize + test.ReportError(t, got, want) + } + + pubKey := key.GetPublic() + pubSigner, ok := signer.Public().(ed25519.PublicKey) + if !ok { + got := ok + want := true + test.ReportError(t, got, want) + } + if !bytes.Equal(pubKey, pubSigner) { + got := pubSigner + want := pubKey + test.ReportError(t, got, want) + } + + got := ed25519.Verify(pubSigner, msg, sig, ops) + want := true + if got != want { + test.ReportError(t, got, want) + } +} + +type badReader struct{} + +func (badReader) Read([]byte) (n int, err error) { return 0, errors.New("cannot read") } + +func TestErrors(t *testing.T) { + t.Run("badHash", func(t *testing.T) { + var msg [16]byte + ops := crypto.SHA224 + key, _ := ed25519.GenerateKey(nil) + _, got := key.Sign(nil, msg[:], ops) + want := errors.New("ed25519: bad hash algorithm") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("badReader", func(t *testing.T) { + _, got := ed25519.GenerateKey(badReader{}) + want := errors.New("cannot read") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("wrongSeedSize", func(t *testing.T) { + var seed [256]byte + var want error + got := test.CheckPanic(func() { ed25519.NewKeyFromSeed(seed[:]) }) + if got != want { + test.ReportError(t, got, want) + } + }) +} + +func BenchmarkEd25519(b *testing.B) { + msg := make([]byte, 128) + _, _ = rand.Read(msg) + + b.Run("keygen", func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _ = ed25519.GenerateKey(rand.Reader) + } + }) + b.Run("sign", func(b *testing.B) { + key, _ := ed25519.GenerateKey(rand.Reader) + b.ResetTimer() + for i := 0; i < b.N; i++ { + _, _ = key.SignPure(msg) + } + }) + b.Run("verify", func(b *testing.B) { + key, _ := ed25519.GenerateKey(rand.Reader) + sig, _ := key.SignPure(msg) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed25519.VerifyPure(key.GetPublic(), msg, sig) + } + }) + b.Run("signPh", func(b *testing.B) { + key, _ := ed25519.GenerateKey(rand.Reader) + ctx := "" + b.ResetTimer() + for i := 0; i < b.N; i++ { + _, _ = key.SignPh(msg, ctx) + } + }) + b.Run("verifyPh", func(b *testing.B) { + key, _ := ed25519.GenerateKey(rand.Reader) + ctx := "" + sig, _ := key.SignPh(msg, ctx) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed25519.VerifyPh(key.GetPublic(), msg, sig, ctx) + } + }) + ctx := "context" + b.Run("signWithCtx", func(b *testing.B) { + key, _ := ed25519.GenerateKey(rand.Reader) + b.ResetTimer() + for i := 0; i < b.N; i++ { + _, _ = key.SignWithCtx(msg, ctx) + } + }) + b.Run("verifyWithCtx", func(b *testing.B) { + key, _ := ed25519.GenerateKey(rand.Reader) + sig, _ := key.SignWithCtx(msg, ctx) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed25519.VerifyWithCtx(key.GetPublic(), msg, sig, ctx) + } + }) +} + +func Example_ed25519() { + // import "circl/sign/ed25519" + // import "crypto/rand" + + // Generating Alice's key pair + keys, err := ed25519.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + signature, err := keys.SignPure(message) + if err != nil { + panic("error on signing message") + } + + // Anyone can verify the signature using Alice's public key. + ok := ed25519.VerifyPure(keys.GetPublic(), message, signature) + fmt.Println(ok) + // Output: true +} + +func Example_ed25519Ph() { + // import "circl/sign/ed25519" + // import "crypto/rand" + + // Generating Alice's key pair + keys, err := ed25519.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + ctx := "" + + signature, err := keys.SignPh(message, ctx) + if err != nil { + panic("error on signing message") + } + + // Anyone can verify the signature using Alice's public key. + ok := ed25519.VerifyPh(keys.GetPublic(), message, signature, ctx) + fmt.Println(ok) + // Output: true +} + +func Example_ed25519Ctx() { + // import "circl/sign/ed25519" + // import "crypto/rand" + + // Generating Alice's key pair + keys, err := ed25519.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + ctx := "context" + + signature, err := keys.SignWithCtx(message, ctx) + if err != nil { + panic("error on signing message") + } + + // Anyone can verify the signature using Alice's public key. + ok := ed25519.VerifyWithCtx(keys.GetPublic(), message, signature, ctx) + fmt.Println(ok) + // Output: true +} diff --git a/src/circl/sign/ed25519/modular.go b/src/circl/sign/ed25519/modular.go new file mode 100644 index 00000000000..10efafdcafb --- /dev/null +++ b/src/circl/sign/ed25519/modular.go @@ -0,0 +1,175 @@ +package ed25519 + +import ( + "encoding/binary" + "math/bits" +) + +var order = [paramB]byte{ + 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, + 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, +} + +// isLessThan returns true if 0 <= x < y, and assumes that slices have the same length. +func isLessThan(x, y []byte) bool { + i := len(x) - 1 + for i > 0 && x[i] == y[i] { + i-- + } + return x[i] < y[i] +} + +// reduceModOrder calculates k = k mod order of the curve. +func reduceModOrder(k []byte, is512Bit bool) { + var X [((2 * paramB) * 8) / 64]uint64 + numWords := len(k) >> 3 + for i := 0; i < numWords; i++ { + X[i] = binary.LittleEndian.Uint64(k[i*8 : (i+1)*8]) + } + red512(&X, is512Bit) + for i := 0; i < numWords; i++ { + binary.LittleEndian.PutUint64(k[i*8:(i+1)*8], X[i]) + } +} + +// red512 calculates x = x mod Order of the curve. +func red512(x *[8]uint64, full bool) { + // Implementation of Algs.(14.47)+(14.52) of Handbook of Applied + // Cryptography, by A. Menezes, P. van Oorschot, and S. Vanstone. + const ( + ell0 = uint64(0x5812631a5cf5d3ed) + ell1 = uint64(0x14def9dea2f79cd6) + ell160 = uint64(0x812631a5cf5d3ed0) + ell161 = uint64(0x4def9dea2f79cd65) + ell162 = uint64(0x0000000000000001) + ) + + var c0, c1, c2, c3 uint64 + r0, r1, r2, r3, r4 := x[0], x[1], x[2], x[3], uint64(0) + + if full { + q0, q1, q2, q3 := x[4], x[5], x[6], x[7] + + for i := 0; i < 3; i++ { + h0, s0 := bits.Mul64(q0, ell160) + h1, s1 := bits.Mul64(q1, ell160) + h2, s2 := bits.Mul64(q2, ell160) + h3, s3 := bits.Mul64(q3, ell160) + + s1, c0 = bits.Add64(h0, s1, 0) + s2, c1 = bits.Add64(h1, s2, c0) + s3, c2 = bits.Add64(h2, s3, c1) + s4, _ := bits.Add64(h3, 0, c2) + + h0, l0 := bits.Mul64(q0, ell161) + h1, l1 := bits.Mul64(q1, ell161) + h2, l2 := bits.Mul64(q2, ell161) + h3, l3 := bits.Mul64(q3, ell161) + + l1, c0 = bits.Add64(h0, l1, 0) + l2, c1 = bits.Add64(h1, l2, c0) + l3, c2 = bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + + s1, c0 = bits.Add64(s1, l0, 0) + s2, c1 = bits.Add64(s2, l1, c0) + s3, c2 = bits.Add64(s3, l2, c1) + s4, c3 = bits.Add64(s4, l3, c2) + s5, s6 := bits.Add64(l4, 0, c3) + + s2, c0 = bits.Add64(s2, q0, 0) + s3, c1 = bits.Add64(s3, q1, c0) + s4, c2 = bits.Add64(s4, q2, c1) + s5, c3 = bits.Add64(s5, q3, c2) + s6, s7 := bits.Add64(s6, 0, c3) + + q := q0 | q1 | q2 | q3 + m := -((q | -q) >> 63) // if q=0 then m=0...0 else m=1..1 + s0 &= m + s1 &= m + s2 &= m + s3 &= m + q0, q1, q2, q3 = s4, s5, s6, s7 + + if (i+1)%2 == 0 { + r0, c0 = bits.Add64(r0, s0, 0) + r1, c1 = bits.Add64(r1, s1, c0) + r2, c2 = bits.Add64(r2, s2, c1) + r3, c3 = bits.Add64(r3, s3, c2) + r4, _ = bits.Add64(r4, 0, c3) + } else { + r0, c0 = bits.Sub64(r0, s0, 0) + r1, c1 = bits.Sub64(r1, s1, c0) + r2, c2 = bits.Sub64(r2, s2, c1) + r3, c3 = bits.Sub64(r3, s3, c2) + r4, _ = bits.Sub64(r4, 0, c3) + } + } + + m := -(r4 >> 63) + r0, c0 = bits.Add64(r0, m&ell160, 0) + r1, c1 = bits.Add64(r1, m&ell161, c0) + r2, c2 = bits.Add64(r2, m&ell162, c1) + r3, c3 = bits.Add64(r3, 0, c2) + r4, _ = bits.Add64(r4, m&1, c3) + x[4], x[5], x[6], x[7] = 0, 0, 0, 0 + } + + q0 := (r4 << 4) | (r3 >> 60) + r3 &= (uint64(1) << 60) - 1 + + h0, s0 := bits.Mul64(ell0, q0) + h1, s1 := bits.Mul64(ell1, q0) + s1, c0 = bits.Add64(h0, s1, 0) + s2, _ := bits.Add64(h1, 0, c0) + + r0, c0 = bits.Sub64(r0, s0, 0) + r1, c1 = bits.Sub64(r1, s1, c0) + r2, c2 = bits.Sub64(r2, s2, c1) + r3, _ = bits.Sub64(r3, 0, c2) + + x[0], x[1], x[2], x[3] = r0, r1, r2, r3 +} + +// calculateS performs s = r+k*a mod Order of the curve. +func calculateS(s, r, k, a []byte) { + K := [4]uint64{ + binary.LittleEndian.Uint64(k[0*8 : 1*8]), + binary.LittleEndian.Uint64(k[1*8 : 2*8]), + binary.LittleEndian.Uint64(k[2*8 : 3*8]), + binary.LittleEndian.Uint64(k[3*8 : 4*8]), + } + S := [8]uint64{ + binary.LittleEndian.Uint64(r[0*8 : 1*8]), + binary.LittleEndian.Uint64(r[1*8 : 2*8]), + binary.LittleEndian.Uint64(r[2*8 : 3*8]), + binary.LittleEndian.Uint64(r[3*8 : 4*8]), + } + var c3 uint64 + for i := range K { + ai := binary.LittleEndian.Uint64(a[i*8 : (i+1)*8]) + + h0, l0 := bits.Mul64(K[0], ai) + h1, l1 := bits.Mul64(K[1], ai) + h2, l2 := bits.Mul64(K[2], ai) + h3, l3 := bits.Mul64(K[3], ai) + + l1, c0 := bits.Add64(h0, l1, 0) + l2, c1 := bits.Add64(h1, l2, c0) + l3, c2 := bits.Add64(h2, l3, c1) + l4, _ := bits.Add64(h3, 0, c2) + + S[i+0], c0 = bits.Add64(S[i+0], l0, 0) + S[i+1], c1 = bits.Add64(S[i+1], l1, c0) + S[i+2], c2 = bits.Add64(S[i+2], l2, c1) + S[i+3], c3 = bits.Add64(S[i+3], l3, c2) + S[i+4], _ = bits.Add64(S[i+4], l4, c3) + } + red512(&S, true) + binary.LittleEndian.PutUint64(s[0*8:1*8], S[0]) + binary.LittleEndian.PutUint64(s[1*8:2*8], S[1]) + binary.LittleEndian.PutUint64(s[2*8:3*8], S[2]) + binary.LittleEndian.PutUint64(s[3*8:4*8], S[3]) +} diff --git a/src/circl/sign/ed25519/modular_test.go b/src/circl/sign/ed25519/modular_test.go new file mode 100644 index 00000000000..0838b5075b1 --- /dev/null +++ b/src/circl/sign/ed25519/modular_test.go @@ -0,0 +1,91 @@ +package ed25519 + +import ( + "crypto/rand" + "testing" + + "circl/internal/conv" + "circl/internal/test" +) + +func TestCalculateS(t *testing.T) { + const testTimes = 1 << 10 + s := make([]byte, paramB) + k := make([]byte, paramB) + r := make([]byte, paramB) + a := make([]byte, paramB) + orderBig := conv.BytesLe2BigInt(order[:]) + + for i := 0; i < testTimes; i++ { + _, _ = rand.Read(k[:]) + _, _ = rand.Read(r[:]) + _, _ = rand.Read(a[:]) + bigK := conv.BytesLe2BigInt(k[:]) + bigR := conv.BytesLe2BigInt(r[:]) + bigA := conv.BytesLe2BigInt(a[:]) + + calculateS(s, r, k, a) + got := conv.BytesLe2BigInt(s[:]) + + bigK.Mul(bigK, bigA).Add(bigK, bigR) + want := bigK.Mod(bigK, orderBig) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, k, r, a) + } + } +} + +func TestReduction(t *testing.T) { + const testTimes = 1 << 10 + var x, y [paramB * 2]byte + orderBig := conv.BytesLe2BigInt(order[:]) + + for i := 0; i < testTimes; i++ { + for _, j := range []int{paramB, 2 * paramB} { + _, _ = rand.Read(x[:j]) + bigX := conv.BytesLe2BigInt(x[:j]) + copy(y[:j], x[:j]) + + reduceModOrder(y[:j], true) + got := conv.BytesLe2BigInt(y[:]) + + want := bigX.Mod(bigX, orderBig) + + if got.Cmp(want) != 0 { + test.ReportError(t, got, want, x) + } + } + } +} + +func TestRangeOrder(t *testing.T) { + aboveOrder := [...][paramB]byte{ + { // order + 0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, + 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, + }, + { // order+1 + 0xed + 1, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, + 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, + }, + { // all-ones + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + }, + } + + for i := range aboveOrder { + got := isLessThanOrder(aboveOrder[i][:]) + want := false + if got != want { + test.ReportError(t, got, want, i, aboveOrder[i]) + } + } +} diff --git a/src/circl/sign/ed25519/mult.go b/src/circl/sign/ed25519/mult.go new file mode 100644 index 00000000000..282cc91ca03 --- /dev/null +++ b/src/circl/sign/ed25519/mult.go @@ -0,0 +1,179 @@ +package ed25519 + +import ( + "crypto/subtle" + "encoding/binary" + "math/bits" + + "circl/internal/conv" + "circl/math" + fp "circl/math/fp25519" +) + +var paramD = fp.Elt{ + 0xa3, 0x78, 0x59, 0x13, 0xca, 0x4d, 0xeb, 0x75, + 0xab, 0xd8, 0x41, 0x41, 0x4d, 0x0a, 0x70, 0x00, + 0x98, 0xe8, 0x79, 0x77, 0x79, 0x40, 0xc7, 0x8c, + 0x73, 0xfe, 0x6f, 0x2b, 0xee, 0x6c, 0x03, 0x52, +} + +// mLSBRecoding parameters. +const ( + fxT = 257 + fxV = 2 + fxW = 3 + fx2w1 = 1 << (uint(fxW) - 1) + numWords64 = (paramB * 8 / 64) +) + +// mLSBRecoding is the odd-only modified LSB-set. +// +// Reference: +// "Efficient and secure algorithms for GLV-based scalar multiplication and +// their implementation on GLV–GLS curves" by (Faz-Hernandez et al.) +// http://doi.org/10.1007/s13389-014-0085-7. +func mLSBRecoding(L []int8, k []byte) { + const ee = (fxT + fxW*fxV - 1) / (fxW * fxV) + const dd = ee * fxV + const ll = dd * fxW + if len(L) == (ll + 1) { + var m [numWords64 + 1]uint64 + for i := 0; i < numWords64; i++ { + m[i] = binary.LittleEndian.Uint64(k[8*i : 8*i+8]) + } + condAddOrderN(&m) + L[dd-1] = 1 + for i := 0; i < dd-1; i++ { + kip1 := (m[(i+1)/64] >> (uint(i+1) % 64)) & 0x1 + L[i] = int8(kip1<<1) - 1 + } + { // right-shift by d + right := uint(dd % 64) + left := uint(64) - right + lim := ((numWords64+1)*64 - dd) / 64 + j := dd / 64 + for i := 0; i < lim; i++ { + m[i] = (m[i+j] >> right) | (m[i+j+1] << left) + } + m[lim] = m[lim+j] >> right + } + for i := dd; i < ll; i++ { + L[i] = L[i%dd] * int8(m[0]&0x1) + div2subY(m[:], int64(L[i]>>1), numWords64) + } + L[ll] = int8(m[0]) + } +} + +// absolute returns always a positive value. +func absolute(x int32) int32 { + mask := x >> 31 + return (x + mask) ^ mask +} + +// condAddOrderN updates x = x+order if x is even, otherwise x remains unchanged. +func condAddOrderN(x *[numWords64 + 1]uint64) { + isOdd := (x[0] & 0x1) - 1 + c := uint64(0) + for i := 0; i < numWords64; i++ { + orderWord := binary.LittleEndian.Uint64(order[8*i : 8*i+8]) + o := isOdd & orderWord + x0, c0 := bits.Add64(x[i], o, c) + x[i] = x0 + c = c0 + } + x[numWords64], _ = bits.Add64(x[numWords64], 0, c) +} + +// div2subY update x = (x/2) - y. +func div2subY(x []uint64, y int64, l int) { + s := uint64(y >> 63) + for i := 0; i < l-1; i++ { + x[i] = (x[i] >> 1) | (x[i+1] << 63) + } + x[l-1] = (x[l-1] >> 1) + + b := uint64(0) + x0, b0 := bits.Sub64(x[0], uint64(y), b) + x[0] = x0 + b = b0 + for i := 1; i < l-1; i++ { + x0, b0 := bits.Sub64(x[i], s, b) + x[i] = x0 + b = b0 + } + x[l-1], _ = bits.Sub64(x[l-1], s, b) +} + +func (P *pointR1) fixedMult(scalar []byte) { + if len(scalar) != paramB { + panic("wrong scalar size") + } + const ee = (fxT + fxW*fxV - 1) / (fxW * fxV) + const dd = ee * fxV + const ll = dd * fxW + + L := make([]int8, ll+1) + mLSBRecoding(L[:], scalar) + S := &pointR3{} + P.SetIdentity() + for ii := ee - 1; ii >= 0; ii-- { + P.double() + for j := 0; j < fxV; j++ { + dig := L[fxW*dd-j*ee+ii-ee] + for i := (fxW-1)*dd - j*ee + ii - ee; i >= (2*dd - j*ee + ii - ee); i = i - dd { + dig = 2*dig + L[i] + } + idx := absolute(int32(dig)) + sig := L[dd-j*ee+ii-ee] + Tabj := &tabSign[fxV-j-1] + for k := 0; k < fx2w1; k++ { + S.cmov(&Tabj[k], subtle.ConstantTimeEq(int32(k), idx)) + } + S.cneg(subtle.ConstantTimeEq(int32(sig), -1)) + P.mixAdd(S) + } + } +} + +const ( + omegaFix = 7 + omegaVar = 5 +) + +// doubleMult returns P=mG+nQ. +func (P *pointR1) doubleMult(Q *pointR1, m, n []byte) { + nafFix := math.OmegaNAF(conv.BytesLe2BigInt(m), omegaFix) + nafVar := math.OmegaNAF(conv.BytesLe2BigInt(n), omegaVar) + + if len(nafFix) > len(nafVar) { + nafVar = append(nafVar, make([]int32, len(nafFix)-len(nafVar))...) + } else if len(nafFix) < len(nafVar) { + nafFix = append(nafFix, make([]int32, len(nafVar)-len(nafFix))...) + } + + var TabQ [1 << (omegaVar - 2)]pointR2 + Q.oddMultiples(TabQ[:]) + P.SetIdentity() + for i := len(nafFix) - 1; i >= 0; i-- { + P.double() + // Generator point + if nafFix[i] != 0 { + idxM := absolute(nafFix[i]) >> 1 + R := tabVerif[idxM] + if nafFix[i] < 0 { + R.neg() + } + P.mixAdd(&R) + } + // Variable input point + if nafVar[i] != 0 { + idxN := absolute(nafVar[i]) >> 1 + S := TabQ[idxN] + if nafVar[i] < 0 { + S.neg() + } + P.add(&S) + } + } +} diff --git a/src/circl/sign/ed25519/point.go b/src/circl/sign/ed25519/point.go new file mode 100644 index 00000000000..18f84d4d968 --- /dev/null +++ b/src/circl/sign/ed25519/point.go @@ -0,0 +1,193 @@ +package ed25519 + +import fp "circl/math/fp25519" + +type pointR1 struct{ x, y, z, ta, tb fp.Elt } +type pointR2 struct { + pointR3 + z2 fp.Elt +} +type pointR3 struct{ addYX, subYX, dt2 fp.Elt } + +func (P *pointR1) neg() { + fp.Neg(&P.x, &P.x) + fp.Neg(&P.ta, &P.ta) +} + +func (P *pointR1) SetIdentity() { + P.x = fp.Elt{} + fp.SetOne(&P.y) + fp.SetOne(&P.z) + P.ta = fp.Elt{} + P.tb = fp.Elt{} +} + +func (P *pointR1) toAffine() { + fp.Inv(&P.z, &P.z) + fp.Mul(&P.x, &P.x, &P.z) + fp.Mul(&P.y, &P.y, &P.z) + fp.Modp(&P.x) + fp.Modp(&P.y) + fp.SetOne(&P.z) + P.ta = P.x + P.tb = P.y +} + +func (P *pointR1) ToBytes(k []byte) error { + P.toAffine() + var x [fp.Size]byte + err := fp.ToBytes(k[:fp.Size], &P.y) + if err != nil { + return err + } + err = fp.ToBytes(x[:], &P.x) + if err != nil { + return err + } + b := x[0] & 1 + k[paramB-1] = k[paramB-1] | (b << 7) + return nil +} + +func (P *pointR1) FromBytes(k []byte) bool { + if len(k) != paramB { + panic("wrong size") + } + signX := k[paramB-1] >> 7 + copy(P.y[:], k[:fp.Size]) + P.y[fp.Size-1] &= 0x7F + p := fp.P() + if !isLessThan(P.y[:], p[:]) { + return false + } + + one, u, v := &fp.Elt{}, &fp.Elt{}, &fp.Elt{} + fp.SetOne(one) + fp.Sqr(u, &P.y) // u = y^2 + fp.Mul(v, u, ¶mD) // v = dy^2 + fp.Sub(u, u, one) // u = y^2-1 + fp.Add(v, v, one) // v = dy^2+1 + isQR := fp.InvSqrt(&P.x, u, v) // x = sqrt(u/v) + if !isQR { + return false + } + fp.Modp(&P.x) // x = x mod p + if fp.IsZero(&P.x) && signX == 1 { + return false + } + if signX != (P.x[0] & 1) { + fp.Neg(&P.x, &P.x) + } + P.ta = P.x + P.tb = P.y + fp.SetOne(&P.z) + return true +} + +// double calculates 2P for curves with A=-1. +func (P *pointR1) double() { + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + a, b, c, e, f, g, h := Px, Py, Pz, Pta, Px, Py, Ptb + fp.Add(e, Px, Py) // x+y + fp.Sqr(a, Px) // A = x^2 + fp.Sqr(b, Py) // B = y^2 + fp.Sqr(c, Pz) // z^2 + fp.Add(c, c, c) // C = 2*z^2 + fp.Add(h, a, b) // H = A+B + fp.Sqr(e, e) // (x+y)^2 + fp.Sub(e, e, h) // E = (x+y)^2-A-B + fp.Sub(g, b, a) // G = B-A + fp.Sub(f, c, g) // F = C-G + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +func (P *pointR1) mixAdd(Q *pointR3) { + fp.Add(&P.z, &P.z, &P.z) // D = 2*z1 + P.coreAddition(Q) +} + +func (P *pointR1) add(Q *pointR2) { + fp.Mul(&P.z, &P.z, &Q.z2) // D = 2*z1*z2 + P.coreAddition(&Q.pointR3) +} + +// coreAddition calculates P=P+Q for curves with A=-1. +func (P *pointR1) coreAddition(Q *pointR3) { + Px, Py, Pz, Pta, Ptb := &P.x, &P.y, &P.z, &P.ta, &P.tb + addYX2, subYX2, dt2 := &Q.addYX, &Q.subYX, &Q.dt2 + a, b, c, d, e, f, g, h := Px, Py, &fp.Elt{}, Pz, Pta, Px, Py, Ptb + fp.Mul(c, Pta, Ptb) // t1 = ta*tb + fp.Sub(h, Py, Px) // y1-x1 + fp.Add(b, Py, Px) // y1+x1 + fp.Mul(a, h, subYX2) // A = (y1-x1)*(y2-x2) + fp.Mul(b, b, addYX2) // B = (y1+x1)*(y2+x2) + fp.Mul(c, c, dt2) // C = 2*D*t1*t2 + fp.Sub(e, b, a) // E = B-A + fp.Add(h, b, a) // H = B+A + fp.Sub(f, d, c) // F = D-C + fp.Add(g, d, c) // G = D+C + fp.Mul(Pz, f, g) // Z = F * G + fp.Mul(Px, e, f) // X = E * F + fp.Mul(Py, g, h) // Y = G * H, T = E * H +} + +func (P *pointR1) oddMultiples(T []pointR2) { + var R pointR2 + n := len(T) + T[0].fromR1(P) + _2P := *P + _2P.double() + R.fromR1(&_2P) + for i := 1; i < n; i++ { + P.add(&R) + T[i].fromR1(P) + } +} + +func (P *pointR1) isEqual(Q *pointR1) bool { + l, r := &fp.Elt{}, &fp.Elt{} + fp.Mul(l, &P.x, &Q.z) + fp.Mul(r, &Q.x, &P.z) + fp.Sub(l, l, r) + b := fp.IsZero(l) + fp.Mul(l, &P.y, &Q.z) + fp.Mul(r, &Q.y, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + fp.Mul(l, &P.ta, &P.tb) + fp.Mul(l, l, &Q.z) + fp.Mul(r, &Q.ta, &Q.tb) + fp.Mul(r, r, &P.z) + fp.Sub(l, l, r) + b = b && fp.IsZero(l) + return b +} + +func (P *pointR3) neg() { + P.addYX, P.subYX = P.subYX, P.addYX + fp.Neg(&P.dt2, &P.dt2) +} + +func (P *pointR2) fromR1(Q *pointR1) { + fp.Add(&P.addYX, &Q.y, &Q.x) + fp.Sub(&P.subYX, &Q.y, &Q.x) + fp.Mul(&P.dt2, &Q.ta, &Q.tb) + fp.Mul(&P.dt2, &P.dt2, ¶mD) + fp.Add(&P.dt2, &P.dt2, &P.dt2) + fp.Add(&P.z2, &Q.z, &Q.z) +} + +func (P *pointR3) cneg(b int) { + t := &fp.Elt{} + fp.Cswap(&P.addYX, &P.subYX, uint(b)) + fp.Neg(t, &P.dt2) + fp.Cmov(&P.dt2, t, uint(b)) +} + +func (P *pointR3) cmov(Q *pointR3, b int) { + fp.Cmov(&P.addYX, &Q.addYX, uint(b)) + fp.Cmov(&P.subYX, &Q.subYX, uint(b)) + fp.Cmov(&P.dt2, &Q.dt2, uint(b)) +} diff --git a/src/circl/sign/ed25519/point_test.go b/src/circl/sign/ed25519/point_test.go new file mode 100644 index 00000000000..b64fa205ada --- /dev/null +++ b/src/circl/sign/ed25519/point_test.go @@ -0,0 +1,114 @@ +package ed25519 + +import ( + "crypto/rand" + "flag" + "testing" + + "circl/internal/test" +) + +func randomPoint(P *pointR1) { + k := make([]byte, paramB) + _, _ = rand.Read(k[:]) + P.fixedMult(k) +} + +func TestPoint(t *testing.T) { + const testTimes = 1 << 10 + + t.Run("add", func(t *testing.T) { + var P pointR1 + var Q pointR1 + var R pointR2 + for i := 0; i < testTimes; i++ { + randomPoint(&P) + _16P := P + R.fromR1(&P) + // 16P = 2^4P + for j := 0; j < 4; j++ { + _16P.double() + } + // 16P = P+P...+P + Q.SetIdentity() + for j := 0; j < 16; j++ { + Q.add(&R) + } + + got := _16P.isEqual(&Q) + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } + }) + + t.Run("fixed", func(t *testing.T) { + var P, Q, R pointR1 + k := make([]byte, paramB) + l := make([]byte, paramB) + for i := 0; i < testTimes; i++ { + randomPoint(&P) + _, _ = rand.Read(k[:]) + + Q.fixedMult(k[:]) + R.doubleMult(&P, k[:], l[:]) + + got := Q.isEqual(&R) + want := true + if got != want { + test.ReportError(t, got, want, P, k) + } + } + }) +} + +var runLongBench = flag.Bool("long", false, "runs longer benchmark") + +func BenchmarkPoint(b *testing.B) { + if !*runLongBench { + b.Log("Skipped one long bench, add -long flag to run longer bench") + b.SkipNow() + } + + k := make([]byte, paramB) + l := make([]byte, paramB) + _, _ = rand.Read(k) + _, _ = rand.Read(l) + + var P pointR1 + var Q pointR2 + var R pointR3 + randomPoint(&P) + Q.fromR1(&P) + b.Run("toAffine", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.toAffine() + } + }) + b.Run("double", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.double() + } + }) + b.Run("mixadd", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.mixAdd(&R) + } + }) + b.Run("add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.add(&Q) + } + }) + b.Run("fixedMult", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.fixedMult(k) + } + }) + b.Run("doubleMult", func(b *testing.B) { + for i := 0; i < b.N; i++ { + P.doubleMult(&P, k, l) + } + }) +} diff --git a/src/circl/sign/ed25519/rfc8032_test.go b/src/circl/sign/ed25519/rfc8032_test.go new file mode 100644 index 00000000000..4569a3657a6 --- /dev/null +++ b/src/circl/sign/ed25519/rfc8032_test.go @@ -0,0 +1,488 @@ +package ed25519_test + +import ( + "archive/zip" + "bufio" + "bytes" + "encoding/hex" + "fmt" + "strings" + "testing" + + "circl/internal/test" + "circl/sign/ed25519" +) + +type rfc8032Vector struct { + private ed25519.PrivateKey + public ed25519.PublicKey + message []byte + signature []byte +} + +func (v *rfc8032Vector) fetch(line string) { + values := strings.Split(line, ":") + if len(values) != 5 { + panic(fmt.Errorf("len: %v %v", len(values), values)) + } + v.private, _ = hex.DecodeString(values[0]) + v.public, _ = hex.DecodeString(values[1]) + v.message, _ = hex.DecodeString(values[2]) + v.signature, _ = hex.DecodeString(values[3]) + v.private = v.private[:ed25519.PrivateKeySize] + v.signature = v.signature[:ed25519.SignatureSize] +} + +func (v *rfc8032Vector) test(t *testing.T, lineNum int) { + keys := ed25519.NewKeyFromSeed(v.private) + { + got := keys.GetPublic() + want := v.public + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, lineNum, v) + } + + got, err := keys.SignPure(v.message) + want = v.signature + if !bytes.Equal(got, want) || err != nil { + test.ReportError(t, got, want, lineNum, v) + } + } + { + got := ed25519.VerifyPure(keys.GetPublic(), v.message, v.signature) + want := true + if got != want { + test.ReportError(t, got, want, lineNum, v) + } + } +} + +func TestRFC8032(t *testing.T) { + const nameFile = "testdata/sign.input.zip" + zipFile, err := zip.OpenReader(nameFile) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", nameFile, err) + } + defer zipFile.Close() + + for _, f := range zipFile.File { + unzipped, err := f.Open() + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", f.Name, err) + } + defer unzipped.Close() + + fScanner := bufio.NewScanner(unzipped) + var v rfc8032Vector + for i := 1; fScanner.Scan(); i++ { + v.fetch(fScanner.Text()) + v.test(t, i) + } + } +} + +type vector struct { + name string + scheme string + sk []byte + pk []byte + sig []byte + msg []byte + msgLen uint + ph bool + ctx []byte + ctxLen uint +} + +var vectorsEd25519 = [...]vector{ + { + name: "-----TEST 1", + scheme: "Ed25519Pure", + sk: []byte{ + 0x9d, 0x61, 0xb1, 0x9d, 0xef, 0xfd, 0x5a, 0x60, 0xba, 0x84, 0x4a, 0xf4, 0x92, 0xec, 0x2c, 0xc4, + 0x44, 0x49, 0xc5, 0x69, 0x7b, 0x32, 0x69, 0x19, 0x70, 0x3b, 0xac, 0x03, 0x1c, 0xae, 0x7f, 0x60, + }, + pk: []byte{ + 0xd7, 0x5a, 0x98, 0x01, 0x82, 0xb1, 0x0a, 0xb7, 0xd5, 0x4b, 0xfe, 0xd3, 0xc9, 0x64, 0x07, 0x3a, + 0x0e, 0xe1, 0x72, 0xf3, 0xda, 0xa6, 0x23, 0x25, 0xaf, 0x02, 0x1a, 0x68, 0xf7, 0x07, 0x51, 0x1a, + }, + msg: []byte{}, + msgLen: 0, + sig: []byte{ + 0xe5, 0x56, 0x43, 0x00, 0xc3, 0x60, 0xac, 0x72, 0x90, 0x86, 0xe2, 0xcc, 0x80, 0x6e, 0x82, 0x8a, + 0x84, 0x87, 0x7f, 0x1e, 0xb8, 0xe5, 0xd9, 0x74, 0xd8, 0x73, 0xe0, 0x65, 0x22, 0x49, 0x01, 0x55, + 0x5f, 0xb8, 0x82, 0x15, 0x90, 0xa3, 0x3b, 0xac, 0xc6, 0x1e, 0x39, 0x70, 0x1c, 0xf9, 0xb4, 0x6b, + 0xd2, 0x5b, 0xf5, 0xf0, 0x59, 0x5b, 0xbe, 0x24, 0x65, 0x51, 0x41, 0x43, 0x8e, 0x7a, 0x10, 0x0b, + }, + ph: false, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----TEST 2", + scheme: "Ed25519Pure", + sk: []byte{ + 0x4c, 0xcd, 0x08, 0x9b, 0x28, 0xff, 0x96, 0xda, 0x9d, 0xb6, 0xc3, 0x46, 0xec, 0x11, 0x4e, 0x0f, + 0x5b, 0x8a, 0x31, 0x9f, 0x35, 0xab, 0xa6, 0x24, 0xda, 0x8c, 0xf6, 0xed, 0x4f, 0xb8, 0xa6, 0xfb, + }, + pk: []byte{ + 0x3d, 0x40, 0x17, 0xc3, 0xe8, 0x43, 0x89, 0x5a, 0x92, 0xb7, 0x0a, 0xa7, 0x4d, 0x1b, 0x7e, 0xbc, + 0x9c, 0x98, 0x2c, 0xcf, 0x2e, 0xc4, 0x96, 0x8c, 0xc0, 0xcd, 0x55, 0xf1, 0x2a, 0xf4, 0x66, 0x0c, + }, + msg: []byte{ + 0x72, + }, + msgLen: 1, + sig: []byte{ + 0x92, 0xa0, 0x09, 0xa9, 0xf0, 0xd4, 0xca, 0xb8, 0x72, 0x0e, 0x82, 0x0b, 0x5f, 0x64, 0x25, 0x40, + 0xa2, 0xb2, 0x7b, 0x54, 0x16, 0x50, 0x3f, 0x8f, 0xb3, 0x76, 0x22, 0x23, 0xeb, 0xdb, 0x69, 0xda, + 0x08, 0x5a, 0xc1, 0xe4, 0x3e, 0x15, 0x99, 0x6e, 0x45, 0x8f, 0x36, 0x13, 0xd0, 0xf1, 0x1d, 0x8c, + 0x38, 0x7b, 0x2e, 0xae, 0xb4, 0x30, 0x2a, 0xee, 0xb0, 0x0d, 0x29, 0x16, 0x12, 0xbb, 0x0c, 0x00, + }, + ph: false, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----TEST 3", + scheme: "Ed25519Pure", + sk: []byte{ + 0xc5, 0xaa, 0x8d, 0xf4, 0x3f, 0x9f, 0x83, 0x7b, 0xed, 0xb7, 0x44, 0x2f, 0x31, 0xdc, 0xb7, 0xb1, + 0x66, 0xd3, 0x85, 0x35, 0x07, 0x6f, 0x09, 0x4b, 0x85, 0xce, 0x3a, 0x2e, 0x0b, 0x44, 0x58, 0xf7, + }, + pk: []byte{ + 0xfc, 0x51, 0xcd, 0x8e, 0x62, 0x18, 0xa1, 0xa3, 0x8d, 0xa4, 0x7e, 0xd0, 0x02, 0x30, 0xf0, 0x58, + 0x08, 0x16, 0xed, 0x13, 0xba, 0x33, 0x03, 0xac, 0x5d, 0xeb, 0x91, 0x15, 0x48, 0x90, 0x80, 0x25, + }, + msg: []byte{ + 0xaf, 0x82, + }, + msgLen: 2, + sig: []byte{ + 0x62, 0x91, 0xd6, 0x57, 0xde, 0xec, 0x24, 0x02, 0x48, 0x27, 0xe6, 0x9c, 0x3a, 0xbe, 0x01, 0xa3, + 0x0c, 0xe5, 0x48, 0xa2, 0x84, 0x74, 0x3a, 0x44, 0x5e, 0x36, 0x80, 0xd7, 0xdb, 0x5a, 0xc3, 0xac, + 0x18, 0xff, 0x9b, 0x53, 0x8d, 0x16, 0xf2, 0x90, 0xae, 0x67, 0xf7, 0x60, 0x98, 0x4d, 0xc6, 0x59, + 0x4a, 0x7c, 0x15, 0xe9, 0x71, 0x6e, 0xd2, 0x8d, 0xc0, 0x27, 0xbe, 0xce, 0xea, 0x1e, 0xc4, 0x0a, + }, + ph: false, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----TEST 1024", + scheme: "Ed25519Pure", + sk: []byte{ + 0xf5, 0xe5, 0x76, 0x7c, 0xf1, 0x53, 0x31, 0x95, 0x17, 0x63, 0x0f, 0x22, 0x68, 0x76, 0xb8, 0x6c, + 0x81, 0x60, 0xcc, 0x58, 0x3b, 0xc0, 0x13, 0x74, 0x4c, 0x6b, 0xf2, 0x55, 0xf5, 0xcc, 0x0e, 0xe5, + }, + pk: []byte{ + 0x27, 0x81, 0x17, 0xfc, 0x14, 0x4c, 0x72, 0x34, 0x0f, 0x67, 0xd0, 0xf2, 0x31, 0x6e, 0x83, 0x86, + 0xce, 0xff, 0xbf, 0x2b, 0x24, 0x28, 0xc9, 0xc5, 0x1f, 0xef, 0x7c, 0x59, 0x7f, 0x1d, 0x42, 0x6e, + }, + msg: []byte{ + 0x08, 0xb8, 0xb2, 0xb7, 0x33, 0x42, 0x42, 0x43, 0x76, 0x0f, 0xe4, 0x26, 0xa4, 0xb5, 0x49, 0x08, + 0x63, 0x21, 0x10, 0xa6, 0x6c, 0x2f, 0x65, 0x91, 0xea, 0xbd, 0x33, 0x45, 0xe3, 0xe4, 0xeb, 0x98, + 0xfa, 0x6e, 0x26, 0x4b, 0xf0, 0x9e, 0xfe, 0x12, 0xee, 0x50, 0xf8, 0xf5, 0x4e, 0x9f, 0x77, 0xb1, + 0xe3, 0x55, 0xf6, 0xc5, 0x05, 0x44, 0xe2, 0x3f, 0xb1, 0x43, 0x3d, 0xdf, 0x73, 0xbe, 0x84, 0xd8, + 0x79, 0xde, 0x7c, 0x00, 0x46, 0xdc, 0x49, 0x96, 0xd9, 0xe7, 0x73, 0xf4, 0xbc, 0x9e, 0xfe, 0x57, + 0x38, 0x82, 0x9a, 0xdb, 0x26, 0xc8, 0x1b, 0x37, 0xc9, 0x3a, 0x1b, 0x27, 0x0b, 0x20, 0x32, 0x9d, + 0x65, 0x86, 0x75, 0xfc, 0x6e, 0xa5, 0x34, 0xe0, 0x81, 0x0a, 0x44, 0x32, 0x82, 0x6b, 0xf5, 0x8c, + 0x94, 0x1e, 0xfb, 0x65, 0xd5, 0x7a, 0x33, 0x8b, 0xbd, 0x2e, 0x26, 0x64, 0x0f, 0x89, 0xff, 0xbc, + 0x1a, 0x85, 0x8e, 0xfc, 0xb8, 0x55, 0x0e, 0xe3, 0xa5, 0xe1, 0x99, 0x8b, 0xd1, 0x77, 0xe9, 0x3a, + 0x73, 0x63, 0xc3, 0x44, 0xfe, 0x6b, 0x19, 0x9e, 0xe5, 0xd0, 0x2e, 0x82, 0xd5, 0x22, 0xc4, 0xfe, + 0xba, 0x15, 0x45, 0x2f, 0x80, 0x28, 0x8a, 0x82, 0x1a, 0x57, 0x91, 0x16, 0xec, 0x6d, 0xad, 0x2b, + 0x3b, 0x31, 0x0d, 0xa9, 0x03, 0x40, 0x1a, 0xa6, 0x21, 0x00, 0xab, 0x5d, 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0xb7, 0x5a, 0x2b, 0x1a, 0xe0, 0x78, 0x45, 0x04, 0xdf, 0x54, 0x3a, 0xf8, 0x96, 0x9b, + 0xe3, 0xea, 0x70, 0x82, 0xff, 0x7f, 0xc9, 0x88, 0x8c, 0x14, 0x4d, 0xa2, 0xaf, 0x58, 0x42, 0x9e, + 0xc9, 0x60, 0x31, 0xdb, 0xca, 0xd3, 0xda, 0xd9, 0xaf, 0x0d, 0xcb, 0xaa, 0xaf, 0x26, 0x8c, 0xb8, + 0xfc, 0xff, 0xea, 0xd9, 0x4f, 0x3c, 0x7c, 0xa4, 0x95, 0xe0, 0x56, 0xa9, 0xb4, 0x7a, 0xcd, 0xb7, + 0x51, 0xfb, 0x73, 0xe6, 0x66, 0xc6, 0xc6, 0x55, 0xad, 0xe8, 0x29, 0x72, 0x97, 0xd0, 0x7a, 0xd1, + 0xba, 0x5e, 0x43, 0xf1, 0xbc, 0xa3, 0x23, 0x01, 0x65, 0x13, 0x39, 0xe2, 0x29, 0x04, 0xcc, 0x8c, + 0x42, 0xf5, 0x8c, 0x30, 0xc0, 0x4a, 0xaf, 0xdb, 0x03, 0x8d, 0xda, 0x08, 0x47, 0xdd, 0x98, 0x8d, + 0xcd, 0xa6, 0xf3, 0xbf, 0xd1, 0x5c, 0x4b, 0x4c, 0x45, 0x25, 0x00, 0x4a, 0xa0, 0x6e, 0xef, 0xf8, + 0xca, 0x61, 0x78, 0x3a, 0xac, 0xec, 0x57, 0xfb, 0x3d, 0x1f, 0x92, 0xb0, 0xfe, 0x2f, 0xd1, 0xa8, + 0x5f, 0x67, 0x24, 0x51, 0x7b, 0x65, 0xe6, 0x14, 0xad, 0x68, 0x08, 0xd6, 0xf6, 0xee, 0x34, 0xdf, + 0xf7, 0x31, 0x0f, 0xdc, 0x82, 0xae, 0xbf, 0xd9, 0x04, 0xb0, 0x1e, 0x1d, 0xc5, 0x4b, 0x29, 0x27, + 0x09, 0x4b, 0x2d, 0xb6, 0x8d, 0x6f, 0x90, 0x3b, 0x68, 0x40, 0x1a, 0xde, 0xbf, 0x5a, 0x7e, 0x08, + 0xd7, 0x8f, 0xf4, 0xef, 0x5d, 0x63, 0x65, 0x3a, 0x65, 0x04, 0x0c, 0xf9, 0xbf, 0xd4, 0xac, 0xa7, + 0x98, 0x4a, 0x74, 0xd3, 0x71, 0x45, 0x98, 0x67, 0x80, 0xfc, 0x0b, 0x16, 0xac, 0x45, 0x16, 0x49, + 0xde, 0x61, 0x88, 0xa7, 0xdb, 0xdf, 0x19, 0x1f, 0x64, 0xb5, 0xfc, 0x5e, 0x2a, 0xb4, 0x7b, 0x57, + 0xf7, 0xf7, 0x27, 0x6c, 0xd4, 0x19, 0xc1, 0x7a, 0x3c, 0xa8, 0xe1, 0xb9, 0x39, 0xae, 0x49, 0xe4, + 0x88, 0xac, 0xba, 0x6b, 0x96, 0x56, 0x10, 0xb5, 0x48, 0x01, 0x09, 0xc8, 0xb1, 0x7b, 0x80, 0xe1, + 0xb7, 0xb7, 0x50, 0xdf, 0xc7, 0x59, 0x8d, 0x5d, 0x50, 0x11, 0xfd, 0x2d, 0xcc, 0x56, 0x00, 0xa3, + 0x2e, 0xf5, 0xb5, 0x2a, 0x1e, 0xcc, 0x82, 0x0e, 0x30, 0x8a, 0xa3, 0x42, 0x72, 0x1a, 0xac, 0x09, + 0x43, 0xbf, 0x66, 0x86, 0xb6, 0x4b, 0x25, 0x79, 0x37, 0x65, 0x04, 0xcc, 0xc4, 0x93, 0xd9, 0x7e, + 0x6a, 0xed, 0x3f, 0xb0, 0xf9, 0xcd, 0x71, 0xa4, 0x3d, 0xd4, 0x97, 0xf0, 0x1f, 0x17, 0xc0, 0xe2, + 0xcb, 0x37, 0x97, 0xaa, 0x2a, 0x2f, 0x25, 0x66, 0x56, 0x16, 0x8e, 0x6c, 0x49, 0x6a, 0xfc, 0x5f, + 0xb9, 0x32, 0x46, 0xf6, 0xb1, 0x11, 0x63, 0x98, 0xa3, 0x46, 0xf1, 0xa6, 0x41, 0xf3, 0xb0, 0x41, + 0xe9, 0x89, 0xf7, 0x91, 0x4f, 0x90, 0xcc, 0x2c, 0x7f, 0xff, 0x35, 0x78, 0x76, 0xe5, 0x06, 0xb5, + 0x0d, 0x33, 0x4b, 0xa7, 0x7c, 0x22, 0x5b, 0xc3, 0x07, 0xba, 0x53, 0x71, 0x52, 0xf3, 0xf1, 0x61, + 0x0e, 0x4e, 0xaf, 0xe5, 0x95, 0xf6, 0xd9, 0xd9, 0x0d, 0x11, 0xfa, 0xa9, 0x33, 0xa1, 0x5e, 0xf1, + 0x36, 0x95, 0x46, 0x86, 0x8a, 0x7f, 0x3a, 0x45, 0xa9, 0x67, 0x68, 0xd4, 0x0f, 0xd9, 0xd0, 0x34, + 0x12, 0xc0, 0x91, 0xc6, 0x31, 0x5c, 0xf4, 0xfd, 0xe7, 0xcb, 0x68, 0x60, 0x69, 0x37, 0x38, 0x0d, + 0xb2, 0xea, 0xaa, 0x70, 0x7b, 0x4c, 0x41, 0x85, 0xc3, 0x2e, 0xdd, 0xcd, 0xd3, 0x06, 0x70, 0x5e, + 0x4d, 0xc1, 0xff, 0xc8, 0x72, 0xee, 0xee, 0x47, 0x5a, 0x64, 0xdf, 0xac, 0x86, 0xab, 0xa4, 0x1c, + 0x06, 0x18, 0x98, 0x3f, 0x87, 0x41, 0xc5, 0xef, 0x68, 0xd3, 0xa1, 0x01, 0xe8, 0xa3, 0xb8, 0xca, + 0xc6, 0x0c, 0x90, 0x5c, 0x15, 0xfc, 0x91, 0x08, 0x40, 0xb9, 0x4c, 0x00, 0xa0, 0xb9, 0xd0, + }, + msgLen: 1023, + sig: []byte{ + 0x0a, 0xab, 0x4c, 0x90, 0x05, 0x01, 0xb3, 0xe2, 0x4d, 0x7c, 0xdf, 0x46, 0x63, 0x32, 0x6a, 0x3a, + 0x87, 0xdf, 0x5e, 0x48, 0x43, 0xb2, 0xcb, 0xdb, 0x67, 0xcb, 0xf6, 0xe4, 0x60, 0xfe, 0xc3, 0x50, + 0xaa, 0x53, 0x71, 0xb1, 0x50, 0x8f, 0x9f, 0x45, 0x28, 0xec, 0xea, 0x23, 0xc4, 0x36, 0xd9, 0x4b, + 0x5e, 0x8f, 0xcd, 0x4f, 0x68, 0x1e, 0x30, 0xa6, 0xac, 0x00, 0xa9, 0x70, 0x4a, 0x18, 0x8a, 0x03, + }, + ph: false, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----TEST sha(abc)", + scheme: "Ed25519Pure", + sk: []byte{ + 0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58, 0x75, 0x20, 0x91, 0x1e, + 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b, 0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, + }, + pk: []byte{ + 0xec, 0x17, 0x2b, 0x93, 0xad, 0x5e, 0x56, 0x3b, 0xf4, 0x93, 0x2c, 0x70, 0xe1, 0x24, 0x50, 0x34, + 0xc3, 0x54, 0x67, 0xef, 0x2e, 0xfd, 0x4d, 0x64, 0xeb, 0xf8, 0x19, 0x68, 0x34, 0x67, 0xe2, 0xbf, + }, + msg: []byte{ + 0xdd, 0xaf, 0x35, 0xa1, 0x93, 0x61, 0x7a, 0xba, 0xcc, 0x41, 0x73, 0x49, 0xae, 0x20, 0x41, 0x31, + 0x12, 0xe6, 0xfa, 0x4e, 0x89, 0xa9, 0x7e, 0xa2, 0x0a, 0x9e, 0xee, 0xe6, 0x4b, 0x55, 0xd3, 0x9a, + 0x21, 0x92, 0x99, 0x2a, 0x27, 0x4f, 0xc1, 0xa8, 0x36, 0xba, 0x3c, 0x23, 0xa3, 0xfe, 0xeb, 0xbd, + 0x45, 0x4d, 0x44, 0x23, 0x64, 0x3c, 0xe8, 0x0e, 0x2a, 0x9a, 0xc9, 0x4f, 0xa5, 0x4c, 0xa4, 0x9f, + }, + msgLen: 64, + sig: []byte{ + 0xdc, 0x2a, 0x44, 0x59, 0xe7, 0x36, 0x96, 0x33, 0xa5, 0x2b, 0x1b, 0xf2, 0x77, 0x83, 0x9a, 0x00, + 0x20, 0x10, 0x09, 0xa3, 0xef, 0xbf, 0x3e, 0xcb, 0x69, 0xbe, 0xa2, 0x18, 0x6c, 0x26, 0xb5, 0x89, + 0x09, 0x35, 0x1f, 0xc9, 0xac, 0x90, 0xb3, 0xec, 0xfd, 0xfb, 0xc7, 0xc6, 0x64, 0x31, 0xe0, 0x30, + 0x3d, 0xca, 0x17, 0x9c, 0x13, 0x8a, 0xc1, 0x7a, 0xd9, 0xbe, 0xf1, 0x17, 0x73, 0x31, 0xa7, 0x04, + }, + ph: false, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----TEST abc", + scheme: "Ed25519Ph", + sk: []byte{ + 0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58, 0x75, 0x20, 0x91, 0x1e, + 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b, 0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, + }, + pk: []byte{ + 0xec, 0x17, 0x2b, 0x93, 0xad, 0x5e, 0x56, 0x3b, 0xf4, 0x93, 0x2c, 0x70, 0xe1, 0x24, 0x50, 0x34, + 0xc3, 0x54, 0x67, 0xef, 0x2e, 0xfd, 0x4d, 0x64, 0xeb, 0xf8, 0x19, 0x68, 0x34, 0x67, 0xe2, 0xbf, + }, + msg: []byte{ + 0x61, 0x62, 0x63, + }, + msgLen: 3, + sig: []byte{ + 0x98, 0xa7, 0x02, 0x22, 0xf0, 0xb8, 0x12, 0x1a, 0xa9, 0xd3, 0x0f, 0x81, 0x3d, 0x68, 0x3f, 0x80, + 0x9e, 0x46, 0x2b, 0x46, 0x9c, 0x7f, 0xf8, 0x76, 0x39, 0x49, 0x9b, 0xb9, 0x4e, 0x6d, 0xae, 0x41, + 0x31, 0xf8, 0x50, 0x42, 0x46, 0x3c, 0x2a, 0x35, 0x5a, 0x20, 0x03, 0xd0, 0x62, 0xad, 0xf5, 0xaa, + 0xa1, 0x0b, 0x8c, 0x61, 0xe6, 0x36, 0x06, 0x2a, 0xaa, 0xd1, 0x1c, 0x2a, 0x26, 0x08, 0x34, 0x06, + }, + ph: true, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----foo", + scheme: "Ed25519Ctx", + sk: []byte{ + 0x03, 0x05, 0x33, 0x4e, 0x38, 0x1a, 0xf7, 0x8f, 0x14, 0x1c, 0xb6, 0x66, 0xf6, 0x19, 0x9f, 0x57, + 0xbc, 0x34, 0x95, 0x33, 0x5a, 0x25, 0x6a, 0x95, 0xbd, 0x2a, 0x55, 0xbf, 0x54, 0x66, 0x63, 0xf6, + }, + pk: []byte{ + 0xdf, 0xc9, 0x42, 0x5e, 0x4f, 0x96, 0x8f, 0x7f, 0x0c, 0x29, 0xf0, 0x25, 0x9c, 0xf5, 0xf9, 0xae, + 0xd6, 0x85, 0x1c, 0x2b, 0xb4, 0xad, 0x8b, 0xfb, 0x86, 0x0c, 0xfe, 0xe0, 0xab, 0x24, 0x82, 0x92, + }, + msg: []byte{ + 0xf7, 0x26, 0x93, 0x6d, 0x19, 0xc8, 0x00, 0x49, 0x4e, 0x3f, 0xda, 0xff, 0x20, 0xb2, 0x76, 0xa8, + }, + msgLen: 16, + sig: []byte{ + 0x55, 0xa4, 0xcc, 0x2f, 0x70, 0xa5, 0x4e, 0x04, 0x28, 0x8c, 0x5f, 0x4c, 0xd1, 0xe4, 0x5a, 0x7b, + 0xb5, 0x20, 0xb3, 0x62, 0x92, 0x91, 0x18, 0x76, 0xca, 0xda, 0x73, 0x23, 0x19, 0x8d, 0xd8, 0x7a, + 0x8b, 0x36, 0x95, 0x0b, 0x95, 0x13, 0x00, 0x22, 0x90, 0x7a, 0x7f, 0xb7, 0xc4, 0xe9, 0xb2, 0xd5, + 0xf6, 0xcc, 0xa6, 0x85, 0xa5, 0x87, 0xb4, 0xb2, 0x1f, 0x4b, 0x88, 0x8e, 0x4e, 0x7e, 0xdb, 0x0d, + }, + ph: false, + ctx: []byte{ + 0x66, 0x6f, 0x6f, + }, + ctxLen: 3, + }, + { + name: "-----bar", + scheme: "Ed25519Ctx", + sk: []byte{ + 0x03, 0x05, 0x33, 0x4e, 0x38, 0x1a, 0xf7, 0x8f, 0x14, 0x1c, 0xb6, 0x66, 0xf6, 0x19, 0x9f, 0x57, + 0xbc, 0x34, 0x95, 0x33, 0x5a, 0x25, 0x6a, 0x95, 0xbd, 0x2a, 0x55, 0xbf, 0x54, 0x66, 0x63, 0xf6, + }, + pk: []byte{ + 0xdf, 0xc9, 0x42, 0x5e, 0x4f, 0x96, 0x8f, 0x7f, 0x0c, 0x29, 0xf0, 0x25, 0x9c, 0xf5, 0xf9, 0xae, + 0xd6, 0x85, 0x1c, 0x2b, 0xb4, 0xad, 0x8b, 0xfb, 0x86, 0x0c, 0xfe, 0xe0, 0xab, 0x24, 0x82, 0x92, + }, + msg: []byte{ + 0xf7, 0x26, 0x93, 0x6d, 0x19, 0xc8, 0x00, 0x49, 0x4e, 0x3f, 0xda, 0xff, 0x20, 0xb2, 0x76, 0xa8, + }, + msgLen: 16, + sig: []byte{ + 0xfc, 0x60, 0xd5, 0x87, 0x2f, 0xc4, 0x6b, 0x3a, 0xa6, 0x9f, 0x8b, 0x5b, 0x43, 0x51, 0xd5, 0x80, + 0x8f, 0x92, 0xbc, 0xc0, 0x44, 0x60, 0x6d, 0xb0, 0x97, 0xab, 0xab, 0x6d, 0xbc, 0xb1, 0xae, 0xe3, + 0x21, 0x6c, 0x48, 0xe8, 0xb3, 0xb6, 0x64, 0x31, 0xb5, 0xb1, 0x86, 0xd1, 0xd2, 0x8f, 0x8e, 0xe1, + 0x5a, 0x5c, 0xa2, 0xdf, 0x66, 0x68, 0x34, 0x62, 0x91, 0xc2, 0x04, 0x3d, 0x4e, 0xb3, 0xe9, 0x0d, + }, + ph: false, + ctx: []byte{ + 0x62, 0x61, 0x72, + }, + ctxLen: 3, + }, + { + name: "-----foo2", + scheme: "Ed25519Ctx", + sk: []byte{ + 0x03, 0x05, 0x33, 0x4e, 0x38, 0x1a, 0xf7, 0x8f, 0x14, 0x1c, 0xb6, 0x66, 0xf6, 0x19, 0x9f, 0x57, + 0xbc, 0x34, 0x95, 0x33, 0x5a, 0x25, 0x6a, 0x95, 0xbd, 0x2a, 0x55, 0xbf, 0x54, 0x66, 0x63, 0xf6, + }, + pk: []byte{ + 0xdf, 0xc9, 0x42, 0x5e, 0x4f, 0x96, 0x8f, 0x7f, 0x0c, 0x29, 0xf0, 0x25, 0x9c, 0xf5, 0xf9, 0xae, + 0xd6, 0x85, 0x1c, 0x2b, 0xb4, 0xad, 0x8b, 0xfb, 0x86, 0x0c, 0xfe, 0xe0, 0xab, 0x24, 0x82, 0x92, + }, + msg: []byte{ + 0x50, 0x8e, 0x9e, 0x68, 0x82, 0xb9, 0x79, 0xfe, 0xa9, 0x00, 0xf6, 0x2a, 0xdc, 0xea, 0xca, 0x35, + }, + msgLen: 16, + sig: []byte{ + 0x8b, 0x70, 0xc1, 0xcc, 0x83, 0x10, 0xe1, 0xde, 0x20, 0xac, 0x53, 0xce, 0x28, 0xae, 0x6e, 0x72, + 0x07, 0xf3, 0x3c, 0x32, 0x95, 0xe0, 0x3b, 0xb5, 0xc0, 0x73, 0x2a, 0x1d, 0x20, 0xdc, 0x64, 0x90, + 0x89, 0x22, 0xa8, 0xb0, 0x52, 0xcf, 0x99, 0xb7, 0xc4, 0xfe, 0x10, 0x7a, 0x5a, 0xbb, 0x5b, 0x2c, + 0x40, 0x85, 0xae, 0x75, 0x89, 0x0d, 0x02, 0xdf, 0x26, 0x26, 0x9d, 0x89, 0x45, 0xf8, 0x4b, 0x0b, + }, + ph: false, + ctx: []byte{ + 0x66, 0x6f, 0x6f, + }, + ctxLen: 3, + }, + { + name: "-----foo3", + scheme: "Ed25519Ctx", + sk: []byte{ + 0xab, 0x9c, 0x28, 0x53, 0xce, 0x29, 0x7d, 0xda, 0xb8, 0x5c, 0x99, 0x3b, 0x3a, 0xe1, 0x4b, 0xca, + 0xd3, 0x9b, 0x2c, 0x68, 0x2b, 0xea, 0xbc, 0x27, 0xd6, 0xd4, 0xeb, 0x20, 0x71, 0x1d, 0x65, 0x60, + }, + pk: []byte{ + 0x0f, 0x1d, 0x12, 0x74, 0x94, 0x3b, 0x91, 0x41, 0x58, 0x89, 0x15, 0x2e, 0x89, 0x3d, 0x80, 0xe9, + 0x32, 0x75, 0xa1, 0xfc, 0x0b, 0x65, 0xfd, 0x71, 0xb4, 0xb0, 0xdd, 0xa1, 0x0a, 0xd7, 0xd7, 0x72, + }, + msg: []byte{ + 0xf7, 0x26, 0x93, 0x6d, 0x19, 0xc8, 0x00, 0x49, 0x4e, 0x3f, 0xda, 0xff, 0x20, 0xb2, 0x76, 0xa8, + }, + msgLen: 16, + sig: []byte{ + 0x21, 0x65, 0x5b, 0x5f, 0x1a, 0xa9, 0x65, 0x99, 0x6b, 0x3f, 0x97, 0xb3, 0xc8, 0x49, 0xea, 0xfb, + 0xa9, 0x22, 0xa0, 0xa6, 0x29, 0x92, 0xf7, 0x3b, 0x3d, 0x1b, 0x73, 0x10, 0x6a, 0x84, 0xad, 0x85, + 0xe9, 0xb8, 0x6a, 0x7b, 0x60, 0x05, 0xea, 0x86, 0x83, 0x37, 0xff, 0x2d, 0x20, 0xa7, 0xf5, 0xfb, + 0xd4, 0xcd, 0x10, 0xb0, 0xbe, 0x49, 0xa6, 0x8d, 0xa2, 0xb2, 0xe0, 0xdc, 0x0a, 0xd8, 0x96, 0x0f, + }, + ph: false, + ctx: []byte{ + 0x66, 0x6f, 0x6f, + }, + ctxLen: 3, + }, +} + +func (v vector) isPure() bool { return v.scheme == "Ed25519Pure" } +func (v vector) isPreHashed() bool { return v.scheme == "Ed25519Ph" } +func (v vector) hasContext() bool { return v.scheme == "Ed25519Ctx" } +func (v vector) matchMsgLen() bool { return uint(len(v.msg)) == v.msgLen } +func (v vector) matchCtxLen() bool { return uint(len(v.ctx)) == v.ctxLen } + +func (v vector) testPublicKey(t *testing.T) { + keys := ed25519.NewKeyFromSeed(v.sk) + got := keys.GetPublic() + want := v.pk + + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, v.name) + } +} + +func (v vector) testSign(t *testing.T) { + private := ed25519.NewKeyFromSeed(v.sk) + + var got []byte + var err error + + if v.ph { + ctx := "" + got, err = private.SignPh(v.msg, ctx) + } else if v.ctxLen > 0 { + got, err = private.SignWithCtx(v.msg, string(v.ctx)) + } else { + got, err = private.SignPure(v.msg) + } + + want := v.sig + if !bytes.Equal(got, want) || err != nil { + test.ReportError(t, got, want, v.name) + } +} + +func (v vector) testVerify(t *testing.T) { + var got bool + if v.ph { + got = ed25519.VerifyPh(v.pk, v.msg, v.sig, "") + } else if v.ctxLen > 0 { + got = ed25519.VerifyWithCtx(v.pk, v.msg, v.sig, string(v.ctx)) + } else { + got = ed25519.VerifyPure(v.pk, v.msg, v.sig) + } + + want := true + + if got != want { + test.ReportError(t, got, want, v.name) + } +} + +func TestEd25519(t *testing.T) { + for _, v := range vectorsEd25519 { + got := (v.isPure() || v.isPreHashed() || v.hasContext()) && v.matchMsgLen() && v.matchCtxLen() + want := true + if got != want { + test.ReportError(t, got, want, v.sk) + } + + v.testPublicKey(t) + v.testSign(t) + v.testVerify(t) + } +} diff --git a/src/circl/sign/ed25519/tables.go b/src/circl/sign/ed25519/tables.go new file mode 100644 index 00000000000..5588d96b5ca --- /dev/null +++ b/src/circl/sign/ed25519/tables.go @@ -0,0 +1,213 @@ +package ed25519 + +import fp "circl/math/fp25519" + +var tabSign = [fxV][fx2w1]pointR3{ + { + pointR3{ + addYX: fp.Elt{0x85, 0x3b, 0x8c, 0xf5, 0xc6, 0x93, 0xbc, 0x2f, 0x19, 0x0e, 0x8c, 0xfb, 0xc6, 0x2d, 0x93, 0xcf, 0xc2, 0x42, 0x3d, 0x64, 0x98, 0x48, 0x0b, 0x27, 0x65, 0xba, 0xd4, 0x33, 0x3a, 0x9d, 0xcf, 0x07}, + subYX: fp.Elt{0x3e, 0x91, 0x40, 0xd7, 0x05, 0x39, 0x10, 0x9d, 0xb3, 0xbe, 0x40, 0xd1, 0x05, 0x9f, 0x39, 0xfd, 0x09, 0x8a, 0x8f, 0x68, 0x34, 0x84, 0xc1, 0xa5, 0x67, 0x12, 0xf8, 0x98, 0x92, 0x2f, 0xfd, 0x44}, + dt2: fp.Elt{0x68, 0xaa, 0x7a, 0x87, 0x05, 0x12, 0xc9, 0xab, 0x9e, 0xc4, 0xaa, 0xcc, 0x23, 0xe8, 0xd9, 0x26, 0x8c, 0x59, 0x43, 0xdd, 0xcb, 0x7d, 0x1b, 0x5a, 0xa8, 0x65, 0x0c, 0x9f, 0x68, 0x7b, 0x11, 0x6f}, + }, + { + addYX: fp.Elt{0x7c, 0xb0, 0x9e, 0xe6, 0xc5, 0xbf, 0xfa, 0x13, 0x8e, 0x0d, 0x22, 0xde, 0xc8, 0xd1, 0xce, 0x52, 0x02, 0xd5, 0x62, 0x31, 0x71, 0x0e, 0x8e, 0x9d, 0xb0, 0xd6, 0x00, 0xa5, 0x5a, 0x0e, 0xce, 0x72}, + subYX: fp.Elt{0x1a, 0x8e, 0x5c, 0xdc, 0xa4, 0xb3, 0x6c, 0x51, 0x18, 0xa0, 0x09, 0x80, 0x9a, 0x46, 0x33, 0xd5, 0xe0, 0x3c, 0x4d, 0x3b, 0xfc, 0x49, 0xa2, 0x43, 0x29, 0xe1, 0x29, 0xa9, 0x93, 0xea, 0x7c, 0x35}, + dt2: fp.Elt{0x08, 0x46, 0x6f, 0x68, 0x7f, 0x0b, 0x7c, 0x9e, 0xad, 0xba, 0x07, 0x61, 0x74, 0x83, 0x2f, 0xfc, 0x26, 0xd6, 0x09, 0xb9, 0x00, 0x34, 0x36, 0x4f, 0x01, 0xf3, 0x48, 0xdb, 0x43, 0xba, 0x04, 0x44}, + }, + { + addYX: fp.Elt{0x4c, 0xda, 0x0d, 0x13, 0x66, 0xfd, 0x82, 0x84, 0x9f, 0x75, 0x5b, 0xa2, 0x17, 0xfe, 0x34, 0xbf, 0x1f, 0xcb, 0xba, 0x90, 0x55, 0x80, 0x83, 0xfd, 0x63, 0xb9, 0x18, 0xf8, 0x5b, 0x5d, 0x94, 0x1e}, + subYX: fp.Elt{0xb9, 0xdb, 0x6c, 0x04, 0x88, 0x22, 0xd8, 0x79, 0x83, 0x2f, 0x8d, 0x65, 0x6b, 0xd2, 0xab, 0x1b, 0xdd, 0x65, 0xe5, 0x93, 0x63, 0xf8, 0xa2, 0xd8, 0x3c, 0xf1, 0x4b, 0xc5, 0x99, 0xd1, 0xf2, 0x12}, + dt2: fp.Elt{0x05, 0x4c, 0xb8, 0x3b, 0xfe, 0xf5, 0x9f, 0x2e, 0xd1, 0xb2, 0xb8, 0xff, 0xfe, 0x6d, 0xd9, 0x37, 0xe0, 0xae, 0xb4, 0x5a, 0x51, 0x80, 0x7e, 0x9b, 0x1d, 0xd1, 0x8d, 0x8c, 0x56, 0xb1, 0x84, 0x35}, + }, + { + addYX: fp.Elt{0x39, 0x71, 0x43, 0x34, 0xe3, 0x42, 0x45, 0xa1, 0xf2, 0x68, 0x71, 0xa7, 0xe8, 0x23, 0xfd, 0x9f, 0x86, 0x48, 0xff, 0xe5, 0x96, 0x74, 0xcf, 0x05, 0x49, 0xe2, 0xb3, 0x6c, 0x17, 0x77, 0x2f, 0x6d}, + subYX: fp.Elt{0x73, 0x3f, 0xc1, 0xc7, 0x6a, 0x66, 0xa1, 0x20, 0xdd, 0x11, 0xfb, 0x7a, 0x6e, 0xa8, 0x51, 0xb8, 0x3f, 0x9d, 0xa2, 0x97, 0x84, 0xb5, 0xc7, 0x90, 0x7c, 0xab, 0x48, 0xd6, 0x84, 0xa3, 0xd5, 0x1a}, + dt2: fp.Elt{0x63, 0x27, 0x3c, 0x49, 0x4b, 0xfc, 0x22, 0xf2, 0x0b, 0x50, 0xc2, 0x0f, 0xb4, 0x1f, 0x31, 0x0c, 0x2f, 0x53, 0xab, 0xaa, 0x75, 0x6f, 0xe0, 0x69, 0x39, 0x56, 0xe0, 0x3b, 0xb7, 0xa8, 0xbf, 0x45}, + }, + }, + { + { + addYX: fp.Elt{0x00, 0x45, 0xd9, 0x0d, 0x58, 0x03, 0xfc, 0x29, 0x93, 0xec, 0xbb, 0x6f, 0xa4, 0x7a, 0xd2, 0xec, 0xf8, 0xa7, 0xe2, 0xc2, 0x5f, 0x15, 0x0a, 0x13, 0xd5, 0xa1, 0x06, 0xb7, 0x1a, 0x15, 0x6b, 0x41}, + subYX: fp.Elt{0x85, 0x8c, 0xb2, 0x17, 0xd6, 0x3b, 0x0a, 0xd3, 0xea, 0x3b, 0x77, 0x39, 0xb7, 0x77, 0xd3, 0xc5, 0xbf, 0x5c, 0x6a, 0x1e, 0x8c, 0xe7, 0xc6, 0xc6, 0xc4, 0xb7, 0x2a, 0x8b, 0xf7, 0xb8, 0x61, 0x0d}, + dt2: fp.Elt{0xb0, 0x36, 0xc1, 0xe9, 0xef, 0xd7, 0xa8, 0x56, 0x20, 0x4b, 0xe4, 0x58, 0xcd, 0xe5, 0x07, 0xbd, 0xab, 0xe0, 0x57, 0x1b, 0xda, 0x2f, 0xe6, 0xaf, 0xd2, 0xe8, 0x77, 0x42, 0xf7, 0x2a, 0x1a, 0x19}, + }, + { + addYX: fp.Elt{0x6a, 0x6d, 0x6d, 0xd1, 0xfa, 0xf5, 0x03, 0x30, 0xbd, 0x6d, 0xc2, 0xc8, 0xf5, 0x38, 0x80, 0x4f, 0xb2, 0xbe, 0xa1, 0x76, 0x50, 0x1a, 0x73, 0xf2, 0x78, 0x2b, 0x8e, 0x3a, 0x1e, 0x34, 0x47, 0x7b}, + subYX: fp.Elt{0xc3, 0x2c, 0x36, 0xdc, 0xc5, 0x45, 0xbc, 0xef, 0x1b, 0x64, 0xd6, 0x65, 0x28, 0xe9, 0xda, 0x84, 0x13, 0xbe, 0x27, 0x8e, 0x3f, 0x98, 0x2a, 0x37, 0xee, 0x78, 0x97, 0xd6, 0xc0, 0x6f, 0xb4, 0x53}, + dt2: fp.Elt{0x58, 0x5d, 0xa7, 0xa3, 0x68, 0xbb, 0x20, 0x30, 0x2e, 0x03, 0xe9, 0xb1, 0xd4, 0x90, 0x72, 0xe3, 0x71, 0xb2, 0x36, 0x3e, 0x73, 0xa0, 0x2e, 0x3d, 0xd1, 0x85, 0x33, 0x62, 0x4e, 0xa7, 0x7b, 0x31}, + }, + { + addYX: fp.Elt{0xbf, 0xc4, 0x38, 0x53, 0xfb, 0x68, 0xa9, 0x77, 0xce, 0x55, 0xf9, 0x05, 0xcb, 0xeb, 0xfb, 0x8c, 0x46, 0xc2, 0x32, 0x7c, 0xf0, 0xdb, 0xd7, 0x2c, 0x62, 0x8e, 0xdd, 0x54, 0x75, 0xcf, 0x3f, 0x33}, + subYX: fp.Elt{0x49, 0x50, 0x1f, 0x4e, 0x6e, 0x55, 0x55, 0xde, 0x8c, 0x4e, 0x77, 0x96, 0x38, 0x3b, 0xfe, 0xb6, 0x43, 0x3c, 0x86, 0x69, 0xc2, 0x72, 0x66, 0x1f, 0x6b, 0xf9, 0x87, 0xbc, 0x4f, 0x37, 0x3e, 0x3c}, + dt2: fp.Elt{0xd2, 0x2f, 0x06, 0x6b, 0x08, 0x07, 0x69, 0x77, 0xc0, 0x94, 0xcc, 0xae, 0x43, 0x00, 0x59, 0x6e, 0xa3, 0x63, 0xa8, 0xdd, 0xfa, 0x24, 0x18, 0xd0, 0x35, 0xc7, 0x78, 0xf7, 0x0d, 0xd4, 0x5a, 0x1e}, + }, + { + addYX: fp.Elt{0x45, 0xc1, 0x17, 0x51, 0xf8, 0xed, 0x7e, 0xc7, 0xa9, 0x1a, 0x11, 0x6e, 0x2d, 0xef, 0x0b, 0xd5, 0x3f, 0x98, 0xb0, 0xa3, 0x9d, 0x65, 0xf1, 0xcd, 0x53, 0x4a, 0x8a, 0x18, 0x70, 0x0a, 0x7f, 0x23}, + subYX: fp.Elt{0xdd, 0xef, 0xbe, 0x3a, 0x31, 0xe0, 0xbc, 0xbe, 0x6d, 0x5d, 0x79, 0x87, 0xd6, 0xbe, 0x68, 0xe3, 0x59, 0x76, 0x8c, 0x86, 0x0e, 0x7a, 0x92, 0x13, 0x14, 0x8f, 0x67, 0xb3, 0xcb, 0x1a, 0x76, 0x76}, + dt2: fp.Elt{0x56, 0x7a, 0x1c, 0x9d, 0xca, 0x96, 0xf9, 0xf9, 0x03, 0x21, 0xd4, 0xe8, 0xb3, 0xd5, 0xe9, 0x52, 0xc8, 0x54, 0x1e, 0x1b, 0x13, 0xb6, 0xfd, 0x47, 0x7d, 0x02, 0x32, 0x33, 0x27, 0xe2, 0x1f, 0x19}, + }, + }, +} + +var tabVerif = [1 << (omegaFix - 2)]pointR3{ + { /* 1P */ + addYX: fp.Elt{0x85, 0x3b, 0x8c, 0xf5, 0xc6, 0x93, 0xbc, 0x2f, 0x19, 0x0e, 0x8c, 0xfb, 0xc6, 0x2d, 0x93, 0xcf, 0xc2, 0x42, 0x3d, 0x64, 0x98, 0x48, 0x0b, 0x27, 0x65, 0xba, 0xd4, 0x33, 0x3a, 0x9d, 0xcf, 0x07}, + subYX: fp.Elt{0x3e, 0x91, 0x40, 0xd7, 0x05, 0x39, 0x10, 0x9d, 0xb3, 0xbe, 0x40, 0xd1, 0x05, 0x9f, 0x39, 0xfd, 0x09, 0x8a, 0x8f, 0x68, 0x34, 0x84, 0xc1, 0xa5, 0x67, 0x12, 0xf8, 0x98, 0x92, 0x2f, 0xfd, 0x44}, + dt2: fp.Elt{0x68, 0xaa, 0x7a, 0x87, 0x05, 0x12, 0xc9, 0xab, 0x9e, 0xc4, 0xaa, 0xcc, 0x23, 0xe8, 0xd9, 0x26, 0x8c, 0x59, 0x43, 0xdd, 0xcb, 0x7d, 0x1b, 0x5a, 0xa8, 0x65, 0x0c, 0x9f, 0x68, 0x7b, 0x11, 0x6f}, + }, + { /* 3P */ + addYX: fp.Elt{0x30, 0x97, 0xee, 0x4c, 0xa8, 0xb0, 0x25, 0xaf, 0x8a, 0x4b, 0x86, 0xe8, 0x30, 0x84, 0x5a, 0x02, 0x32, 0x67, 0x01, 0x9f, 0x02, 0x50, 0x1b, 0xc1, 0xf4, 0xf8, 0x80, 0x9a, 0x1b, 0x4e, 0x16, 0x7a}, + subYX: fp.Elt{0x65, 0xd2, 0xfc, 0xa4, 0xe8, 0x1f, 0x61, 0x56, 0x7d, 0xba, 0xc1, 0xe5, 0xfd, 0x53, 0xd3, 0x3b, 0xbd, 0xd6, 0x4b, 0x21, 0x1a, 0xf3, 0x31, 0x81, 0x62, 0xda, 0x5b, 0x55, 0x87, 0x15, 0xb9, 0x2a}, + dt2: fp.Elt{0x89, 0xd8, 0xd0, 0x0d, 0x3f, 0x93, 0xae, 0x14, 0x62, 0xda, 0x35, 0x1c, 0x22, 0x23, 0x94, 0x58, 0x4c, 0xdb, 0xf2, 0x8c, 0x45, 0xe5, 0x70, 0xd1, 0xc6, 0xb4, 0xb9, 0x12, 0xaf, 0x26, 0x28, 0x5a}, + }, + { /* 5P */ + addYX: fp.Elt{0x33, 0xbb, 0xa5, 0x08, 0x44, 0xbc, 0x12, 0xa2, 0x02, 0xed, 0x5e, 0xc7, 0xc3, 0x48, 0x50, 0x8d, 0x44, 0xec, 0xbf, 0x5a, 0x0c, 0xeb, 0x1b, 0xdd, 0xeb, 0x06, 0xe2, 0x46, 0xf1, 0xcc, 0x45, 0x29}, + subYX: fp.Elt{0xba, 0xd6, 0x47, 0xa4, 0xc3, 0x82, 0x91, 0x7f, 0xb7, 0x29, 0x27, 0x4b, 0xd1, 0x14, 0x00, 0xd5, 0x87, 0xa0, 0x64, 0xb8, 0x1c, 0xf1, 0x3c, 0xe3, 0xf3, 0x55, 0x1b, 0xeb, 0x73, 0x7e, 0x4a, 0x15}, + dt2: fp.Elt{0x85, 0x82, 0x2a, 0x81, 0xf1, 0xdb, 0xbb, 0xbc, 0xfc, 0xd1, 0xbd, 0xd0, 0x07, 0x08, 0x0e, 0x27, 0x2d, 0xa7, 0xbd, 0x1b, 0x0b, 0x67, 0x1b, 0xb4, 0x9a, 0xb6, 0x3b, 0x6b, 0x69, 0xbe, 0xaa, 0x43}, + }, + { /* 7P */ + addYX: fp.Elt{0xbf, 0xa3, 0x4e, 0x94, 0xd0, 0x5c, 0x1a, 0x6b, 0xd2, 0xc0, 0x9d, 0xb3, 0x3a, 0x35, 0x70, 0x74, 0x49, 0x2e, 0x54, 0x28, 0x82, 0x52, 0xb2, 0x71, 0x7e, 0x92, 0x3c, 0x28, 0x69, 0xea, 0x1b, 0x46}, + subYX: fp.Elt{0xb1, 0x21, 0x32, 0xaa, 0x9a, 0x2c, 0x6f, 0xba, 0xa7, 0x23, 0xba, 0x3b, 0x53, 0x21, 0xa0, 0x6c, 0x3a, 0x2c, 0x19, 0x92, 0x4f, 0x76, 0xea, 0x9d, 0xe0, 0x17, 0x53, 0x2e, 0x5d, 0xdd, 0x6e, 0x1d}, + dt2: fp.Elt{0xa2, 0xb3, 0xb8, 0x01, 0xc8, 0x6d, 0x83, 0xf1, 0x9a, 0xa4, 0x3e, 0x05, 0x47, 0x5f, 0x03, 0xb3, 0xf3, 0xad, 0x77, 0x58, 0xba, 0x41, 0x9c, 0x52, 0xa7, 0x90, 0x0f, 0x6a, 0x1c, 0xbb, 0x9f, 0x7a}, + }, + { /* 9P */ + addYX: fp.Elt{0x2f, 0x63, 0xa8, 0xa6, 0x8a, 0x67, 0x2e, 0x9b, 0xc5, 0x46, 0xbc, 0x51, 0x6f, 0x9e, 0x50, 0xa6, 0xb5, 0xf5, 0x86, 0xc6, 0xc9, 0x33, 0xb2, 0xce, 0x59, 0x7f, 0xdd, 0x8a, 0x33, 0xed, 0xb9, 0x34}, + subYX: fp.Elt{0x64, 0x80, 0x9d, 0x03, 0x7e, 0x21, 0x6e, 0xf3, 0x9b, 0x41, 0x20, 0xf5, 0xb6, 0x81, 0xa0, 0x98, 0x44, 0xb0, 0x5e, 0xe7, 0x08, 0xc6, 0xcb, 0x96, 0x8f, 0x9c, 0xdc, 0xfa, 0x51, 0x5a, 0xc0, 0x49}, + dt2: fp.Elt{0x1b, 0xaf, 0x45, 0x90, 0xbf, 0xe8, 0xb4, 0x06, 0x2f, 0xd2, 0x19, 0xa7, 0xe8, 0x83, 0xff, 0xe2, 0x16, 0xcf, 0xd4, 0x93, 0x29, 0xfc, 0xf6, 0xaa, 0x06, 0x8b, 0x00, 0x1b, 0x02, 0x72, 0xc1, 0x73}, + }, + { /* 11P */ + addYX: fp.Elt{0xde, 0x2a, 0x80, 0x8a, 0x84, 0x00, 0xbf, 0x2f, 0x27, 0x2e, 0x30, 0x02, 0xcf, 0xfe, 0xd9, 0xe5, 0x06, 0x34, 0x70, 0x17, 0x71, 0x84, 0x3e, 0x11, 0xaf, 0x8f, 0x6d, 0x54, 0xe2, 0xaa, 0x75, 0x42}, + subYX: fp.Elt{0x48, 0x43, 0x86, 0x49, 0x02, 0x5b, 0x5f, 0x31, 0x81, 0x83, 0x08, 0x77, 0x69, 0xb3, 0xd6, 0x3e, 0x95, 0xeb, 0x8d, 0x6a, 0x55, 0x75, 0xa0, 0xa3, 0x7f, 0xc7, 0xd5, 0x29, 0x80, 0x59, 0xab, 0x18}, + dt2: fp.Elt{0xe9, 0x89, 0x60, 0xfd, 0xc5, 0x2c, 0x2b, 0xd8, 0xa4, 0xe4, 0x82, 0x32, 0xa1, 0xb4, 0x1e, 0x03, 0x22, 0x86, 0x1a, 0xb5, 0x99, 0x11, 0x31, 0x44, 0x48, 0xf9, 0x3d, 0xb5, 0x22, 0x55, 0xc6, 0x3d}, + }, + { /* 13P */ + addYX: fp.Elt{0x6d, 0x7f, 0x00, 0xa2, 0x22, 0xc2, 0x70, 0xbf, 0xdb, 0xde, 0xbc, 0xb5, 0x9a, 0xb3, 0x84, 0xbf, 0x07, 0xba, 0x07, 0xfb, 0x12, 0x0e, 0x7a, 0x53, 0x41, 0xf2, 0x46, 0xc3, 0xee, 0xd7, 0x4f, 0x23}, + subYX: fp.Elt{0x93, 0xbf, 0x7f, 0x32, 0x3b, 0x01, 0x6f, 0x50, 0x6b, 0x6f, 0x77, 0x9b, 0xc9, 0xeb, 0xfc, 0xae, 0x68, 0x59, 0xad, 0xaa, 0x32, 0xb2, 0x12, 0x9d, 0xa7, 0x24, 0x60, 0x17, 0x2d, 0x88, 0x67, 0x02}, + dt2: fp.Elt{0x78, 0xa3, 0x2e, 0x73, 0x19, 0xa1, 0x60, 0x53, 0x71, 0xd4, 0x8d, 0xdf, 0xb1, 0xe6, 0x37, 0x24, 0x33, 0xe5, 0xa7, 0x91, 0xf8, 0x37, 0xef, 0xa2, 0x63, 0x78, 0x09, 0xaa, 0xfd, 0xa6, 0x7b, 0x49}, + }, + { /* 15P */ + addYX: fp.Elt{0xa0, 0xea, 0xcf, 0x13, 0x03, 0xcc, 0xce, 0x24, 0x6d, 0x24, 0x9c, 0x18, 0x8d, 0xc2, 0x48, 0x86, 0xd0, 0xd4, 0xf2, 0xc1, 0xfa, 0xbd, 0xbd, 0x2d, 0x2b, 0xe7, 0x2d, 0xf1, 0x17, 0x29, 0xe2, 0x61}, + subYX: fp.Elt{0x0b, 0xcf, 0x8c, 0x46, 0x86, 0xcd, 0x0b, 0x04, 0xd6, 0x10, 0x99, 0x2a, 0xa4, 0x9b, 0x82, 0xd3, 0x92, 0x51, 0xb2, 0x07, 0x08, 0x30, 0x08, 0x75, 0xbf, 0x5e, 0xd0, 0x18, 0x42, 0xcd, 0xb5, 0x43}, + dt2: fp.Elt{0x16, 0xb5, 0xd0, 0x9b, 0x2f, 0x76, 0x9a, 0x5d, 0xee, 0xde, 0x3f, 0x37, 0x4e, 0xaf, 0x38, 0xeb, 0x70, 0x42, 0xd6, 0x93, 0x7d, 0x5a, 0x2e, 0x03, 0x42, 0xd8, 0xe4, 0x0a, 0x21, 0x61, 0x1d, 0x51}, + }, + { /* 17P */ + addYX: fp.Elt{0x81, 0x9d, 0x0e, 0x95, 0xef, 0x76, 0xc6, 0x92, 0x4f, 0x04, 0xd7, 0xc0, 0xcd, 0x20, 0x46, 0xa5, 0x48, 0x12, 0x8f, 0x6f, 0x64, 0x36, 0x9b, 0xaa, 0xe3, 0x55, 0xb8, 0xdd, 0x24, 0x59, 0x32, 0x6d}, + subYX: fp.Elt{0x87, 0xde, 0x20, 0x44, 0x48, 0x86, 0x13, 0x08, 0xb4, 0xed, 0x92, 0xb5, 0x16, 0xf0, 0x1c, 0x8a, 0x25, 0x2d, 0x94, 0x29, 0x27, 0x4e, 0xfa, 0x39, 0x10, 0x28, 0x48, 0xe2, 0x6f, 0xfe, 0xa7, 0x71}, + dt2: fp.Elt{0x54, 0xc8, 0xc8, 0xa5, 0xb8, 0x82, 0x71, 0x6c, 0x03, 0x2a, 0x5f, 0xfe, 0x79, 0x14, 0xfd, 0x33, 0x0c, 0x8d, 0x77, 0x83, 0x18, 0x59, 0xcf, 0x72, 0xa9, 0xea, 0x9e, 0x55, 0xb6, 0xc4, 0x46, 0x47}, + }, + { /* 19P */ + addYX: fp.Elt{0x2b, 0x9a, 0xc6, 0x6d, 0x3c, 0x7b, 0x77, 0xd3, 0x17, 0xf6, 0x89, 0x6f, 0x27, 0xb2, 0xfa, 0xde, 0xb5, 0x16, 0x3a, 0xb5, 0xf7, 0x1c, 0x65, 0x45, 0xb7, 0x9f, 0xfe, 0x34, 0xde, 0x51, 0x9a, 0x5c}, + subYX: fp.Elt{0x47, 0x11, 0x74, 0x64, 0xc8, 0x46, 0x85, 0x34, 0x49, 0xc8, 0xfc, 0x0e, 0xdd, 0xae, 0x35, 0x7d, 0x32, 0xa3, 0x72, 0x06, 0x76, 0x9a, 0x93, 0xff, 0xd6, 0xe6, 0xb5, 0x7d, 0x49, 0x63, 0x96, 0x21}, + dt2: fp.Elt{0x67, 0x0e, 0xf1, 0x79, 0xcf, 0xf1, 0x10, 0xf5, 0x5b, 0x51, 0x58, 0xe6, 0xa1, 0xda, 0xdd, 0xff, 0x77, 0x22, 0x14, 0x10, 0x17, 0xa7, 0xc3, 0x09, 0xbb, 0x23, 0x82, 0x60, 0x3c, 0x50, 0x04, 0x48}, + }, + { /* 21P */ + addYX: fp.Elt{0xc7, 0x7f, 0xa3, 0x2c, 0xd0, 0x9e, 0x24, 0xc4, 0xab, 0xac, 0x15, 0xa6, 0xe3, 0xa0, 0x59, 0xa0, 0x23, 0x0e, 0x6e, 0xc9, 0xd7, 0x6e, 0xa9, 0x88, 0x6d, 0x69, 0x50, 0x16, 0xa5, 0x98, 0x33, 0x55}, + subYX: fp.Elt{0x75, 0xd1, 0x36, 0x3a, 0xd2, 0x21, 0x68, 0x3b, 0x32, 0x9e, 0x9b, 0xe9, 0xa7, 0x0a, 0xb4, 0xbb, 0x47, 0x8a, 0x83, 0x20, 0xe4, 0x5c, 0x9e, 0x5d, 0x5e, 0x4c, 0xde, 0x58, 0x88, 0x09, 0x1e, 0x77}, + dt2: fp.Elt{0xdf, 0x1e, 0x45, 0x78, 0xd2, 0xf5, 0x12, 0x9a, 0xcb, 0x9c, 0x89, 0x85, 0x79, 0x5d, 0xda, 0x3a, 0x08, 0x95, 0xa5, 0x9f, 0x2d, 0x4a, 0x7f, 0x47, 0x11, 0xa6, 0xf5, 0x8f, 0xd6, 0xd1, 0x5e, 0x5a}, + }, + { /* 23P */ + addYX: fp.Elt{0x83, 0x0e, 0x15, 0xfe, 0x2a, 0x12, 0x95, 0x11, 0xd8, 0x35, 0x4b, 0x7e, 0x25, 0x9a, 0x20, 0xcf, 0x20, 0x1e, 0x71, 0x1e, 0x29, 0xf8, 0x87, 0x73, 0xf0, 0x92, 0xbf, 0xd8, 0x97, 0xb8, 0xac, 0x44}, + subYX: fp.Elt{0x59, 0x73, 0x52, 0x58, 0xc5, 0xe0, 0xe5, 0xba, 0x7e, 0x9d, 0xdb, 0xca, 0x19, 0x5c, 0x2e, 0x39, 0xe9, 0xab, 0x1c, 0xda, 0x1e, 0x3c, 0x65, 0x28, 0x44, 0xdc, 0xef, 0x5f, 0x13, 0x60, 0x9b, 0x01}, + dt2: fp.Elt{0x83, 0x4b, 0x13, 0x5e, 0x14, 0x68, 0x60, 0x1e, 0x16, 0x4c, 0x30, 0x24, 0x4f, 0xe6, 0xf5, 0xc4, 0xd7, 0x3e, 0x1a, 0xfc, 0xa8, 0x88, 0x6e, 0x50, 0x92, 0x2f, 0xad, 0xe6, 0xfd, 0x49, 0x0c, 0x15}, + }, + { /* 25P */ + addYX: fp.Elt{0x38, 0x11, 0x47, 0x09, 0x95, 0xf2, 0x7b, 0x8e, 0x51, 0xa6, 0x75, 0x4f, 0x39, 0xef, 0x6f, 0x5d, 0xad, 0x08, 0xa7, 0x25, 0xc4, 0x79, 0xaf, 0x10, 0x22, 0x99, 0xb9, 0x5b, 0x07, 0x5a, 0x2b, 0x6b}, + subYX: fp.Elt{0x68, 0xa8, 0xdc, 0x9c, 0x3c, 0x86, 0x49, 0xb8, 0xd0, 0x4a, 0x71, 0xb8, 0xdb, 0x44, 0x3f, 0xc8, 0x8d, 0x16, 0x36, 0x0c, 0x56, 0xe3, 0x3e, 0xfe, 0xc1, 0xfb, 0x05, 0x1e, 0x79, 0xd7, 0xa6, 0x78}, + dt2: fp.Elt{0x76, 0xb9, 0xa0, 0x47, 0x4b, 0x70, 0xbf, 0x58, 0xd5, 0x48, 0x17, 0x74, 0x55, 0xb3, 0x01, 0xa6, 0x90, 0xf5, 0x42, 0xd5, 0xb1, 0x1f, 0x2b, 0xaa, 0x00, 0x5d, 0xd5, 0x4a, 0xfc, 0x7f, 0x5c, 0x72}, + }, + { /* 27P */ + addYX: fp.Elt{0xb2, 0x99, 0xcf, 0xd1, 0x15, 0x67, 0x42, 0xe4, 0x34, 0x0d, 0xa2, 0x02, 0x11, 0xd5, 0x52, 0x73, 0x9f, 0x10, 0x12, 0x8b, 0x7b, 0x15, 0xd1, 0x23, 0xa3, 0xf3, 0xb1, 0x7c, 0x27, 0xc9, 0x4c, 0x79}, + subYX: fp.Elt{0xc0, 0x98, 0xd0, 0x1c, 0xf7, 0x2b, 0x80, 0x91, 0x66, 0x63, 0x5e, 0xed, 0xa4, 0x6c, 0x41, 0xfe, 0x4c, 0x99, 0x02, 0x49, 0x71, 0x5d, 0x58, 0xdf, 0xe7, 0xfa, 0x55, 0xf8, 0x25, 0x46, 0xd5, 0x4c}, + dt2: fp.Elt{0x53, 0x50, 0xac, 0xc2, 0x26, 0xc4, 0xf6, 0x4a, 0x58, 0x72, 0xf6, 0x32, 0xad, 0xed, 0x9a, 0xbc, 0x21, 0x10, 0x31, 0x0a, 0xf1, 0x32, 0xd0, 0x2a, 0x85, 0x8e, 0xcc, 0x6f, 0x7b, 0x35, 0x08, 0x70}, + }, + { /* 29P */ + addYX: fp.Elt{0x01, 0x3f, 0x77, 0x38, 0x27, 0x67, 0x88, 0x0b, 0xfb, 0xcc, 0xfb, 0x95, 0xfa, 0xc8, 0xcc, 0xb8, 0xb6, 0x29, 0xad, 0xb9, 0xa3, 0xd5, 0x2d, 0x8d, 0x6a, 0x0f, 0xad, 0x51, 0x98, 0x7e, 0xef, 0x06}, + subYX: fp.Elt{0x34, 0x4a, 0x58, 0x82, 0xbb, 0x9f, 0x1b, 0xd0, 0x2b, 0x79, 0xb4, 0xd2, 0x63, 0x64, 0xab, 0x47, 0x02, 0x62, 0x53, 0x48, 0x9c, 0x63, 0x31, 0xb6, 0x28, 0xd4, 0xd6, 0x69, 0x36, 0x2a, 0xa9, 0x13}, + dt2: fp.Elt{0xe5, 0x7d, 0x57, 0xc0, 0x1c, 0x77, 0x93, 0xca, 0x5c, 0xdc, 0x35, 0x50, 0x1e, 0xe4, 0x40, 0x75, 0x71, 0xe0, 0x02, 0xd8, 0x01, 0x0f, 0x68, 0x24, 0x6a, 0xf8, 0x2a, 0x8a, 0xdf, 0x6d, 0x29, 0x3c}, + }, + { /* 31P */ + addYX: fp.Elt{0x13, 0xa7, 0x14, 0xd9, 0xf9, 0x15, 0xad, 0xae, 0x12, 0xf9, 0x8f, 0x8c, 0xf9, 0x7b, 0x2f, 0xa9, 0x30, 0xd7, 0x53, 0x9f, 0x17, 0x23, 0xf8, 0xaf, 0xba, 0x77, 0x0c, 0x49, 0x93, 0xd3, 0x99, 0x7a}, + subYX: fp.Elt{0x41, 0x25, 0x1f, 0xbb, 0x2e, 0x4d, 0xeb, 0xfc, 0x1f, 0xb9, 0xad, 0x40, 0xc7, 0x10, 0x95, 0xb8, 0x05, 0xad, 0xa1, 0xd0, 0x7d, 0xa3, 0x71, 0xfc, 0x7b, 0x71, 0x47, 0x07, 0x70, 0x2c, 0x89, 0x0a}, + dt2: fp.Elt{0xe8, 0xa3, 0xbd, 0x36, 0x24, 0xed, 0x52, 0x8f, 0x94, 0x07, 0xe8, 0x57, 0x41, 0xc8, 0xa8, 0x77, 0xe0, 0x9c, 0x2f, 0x26, 0x63, 0x65, 0xa9, 0xa5, 0xd2, 0xf7, 0x02, 0x83, 0xd2, 0x62, 0x67, 0x28}, + }, + { /* 33P */ + addYX: fp.Elt{0x25, 0x5b, 0xe3, 0x3c, 0x09, 0x36, 0x78, 0x4e, 0x97, 0xaa, 0x6b, 0xb2, 0x1d, 0x18, 0xe1, 0x82, 0x3f, 0xb8, 0xc7, 0xcb, 0xd3, 0x92, 0xc1, 0x0c, 0x3a, 0x9d, 0x9d, 0x6a, 0x04, 0xda, 0xf1, 0x32}, + subYX: fp.Elt{0xbd, 0xf5, 0x2e, 0xce, 0x2b, 0x8e, 0x55, 0x7c, 0x63, 0xbc, 0x47, 0x67, 0xb4, 0x6c, 0x98, 0xe4, 0xb8, 0x89, 0xbb, 0x3b, 0x9f, 0x17, 0x4a, 0x15, 0x7a, 0x76, 0xf1, 0xd6, 0xa3, 0xf2, 0x86, 0x76}, + dt2: fp.Elt{0x6a, 0x7c, 0x59, 0x6d, 0xa6, 0x12, 0x8d, 0xaa, 0x2b, 0x85, 0xd3, 0x04, 0x03, 0x93, 0x11, 0x8f, 0x22, 0xb0, 0x09, 0xc2, 0x73, 0xdc, 0x91, 0x3f, 0xa6, 0x28, 0xad, 0xa9, 0xf8, 0x05, 0x13, 0x56}, + }, + { /* 35P */ + addYX: fp.Elt{0xd1, 0xae, 0x92, 0xec, 0x8d, 0x97, 0x0c, 0x10, 0xe5, 0x73, 0x6d, 0x4d, 0x43, 0xd5, 0x43, 0xca, 0x48, 0xba, 0x47, 0xd8, 0x22, 0x1b, 0x13, 0x83, 0x2c, 0x4d, 0x5d, 0xe3, 0x53, 0xec, 0xaa}, + subYX: fp.Elt{0xd5, 0xc0, 0xb0, 0xe7, 0x28, 0xcc, 0x22, 0x67, 0x53, 0x5c, 0x07, 0xdb, 0xbb, 0xe9, 0x9d, 0x70, 0x61, 0x0a, 0x01, 0xd7, 0xa7, 0x8d, 0xf6, 0xca, 0x6c, 0xcc, 0x57, 0x2c, 0xef, 0x1a, 0x0a, 0x03}, + dt2: fp.Elt{0xaa, 0xd2, 0x3a, 0x00, 0x73, 0xf7, 0xb1, 0x7b, 0x08, 0x66, 0x21, 0x2b, 0x80, 0x29, 0x3f, 0x0b, 0x3e, 0xd2, 0x0e, 0x52, 0x86, 0xdc, 0x21, 0x78, 0x80, 0x54, 0x06, 0x24, 0x1c, 0x9c, 0xbe, 0x20}, + }, + { /* 37P */ + addYX: fp.Elt{0xa6, 0x73, 0x96, 0x24, 0xd8, 0x87, 0x53, 0xe1, 0x93, 0xe4, 0x46, 0xf5, 0x2d, 0xbc, 0x43, 0x59, 0xb5, 0x63, 0x6f, 0xc3, 0x81, 0x9a, 0x7f, 0x1c, 0xde, 0xc1, 0x0a, 0x1f, 0x36, 0xb3, 0x0a, 0x75}, + subYX: fp.Elt{0x60, 0x5e, 0x02, 0xe2, 0x4a, 0xe4, 0xe0, 0x20, 0x38, 0xb9, 0xdc, 0xcb, 0x2f, 0x3b, 0x3b, 0xb0, 0x1c, 0x0d, 0x5a, 0xf9, 0x9c, 0x63, 0x5d, 0x10, 0x11, 0xe3, 0x67, 0x50, 0x54, 0x4c, 0x76, 0x69}, + dt2: fp.Elt{0x37, 0x10, 0xf8, 0xa2, 0x83, 0x32, 0x8a, 0x1e, 0xf1, 0xcb, 0x7f, 0xbd, 0x23, 0xda, 0x2e, 0x6f, 0x63, 0x25, 0x2e, 0xac, 0x5b, 0xd1, 0x2f, 0xb7, 0x40, 0x50, 0x07, 0xb7, 0x3f, 0x6b, 0xf9, 0x54}, + }, + { /* 39P */ + addYX: fp.Elt{0x79, 0x92, 0x66, 0x29, 0x04, 0xf2, 0xad, 0x0f, 0x4a, 0x72, 0x7d, 0x7d, 0x04, 0xa2, 0xdd, 0x3a, 0xf1, 0x60, 0x57, 0x8c, 0x82, 0x94, 0x3d, 0x6f, 0x9e, 0x53, 0xb7, 0x2b, 0xc5, 0xe9, 0x7f, 0x3d}, + subYX: fp.Elt{0xcd, 0x1e, 0xb1, 0x16, 0xc6, 0xaf, 0x7d, 0x17, 0x79, 0x64, 0x57, 0xfa, 0x9c, 0x4b, 0x76, 0x89, 0x85, 0xe7, 0xec, 0xe6, 0x10, 0xa1, 0xa8, 0xb7, 0xf0, 0xdb, 0x85, 0xbe, 0x9f, 0x83, 0xe6, 0x78}, + dt2: fp.Elt{0x6b, 0x85, 0xb8, 0x37, 0xf7, 0x2d, 0x33, 0x70, 0x8a, 0x17, 0x1a, 0x04, 0x43, 0x5d, 0xd0, 0x75, 0x22, 0x9e, 0xe5, 0xa0, 0x4a, 0xf7, 0x0f, 0x32, 0x42, 0x82, 0x08, 0x50, 0xf3, 0x68, 0xf2, 0x70}, + }, + { /* 41P */ + addYX: fp.Elt{0x47, 0x5f, 0x80, 0xb1, 0x83, 0x45, 0x86, 0x66, 0x19, 0x7c, 0xdd, 0x60, 0xd1, 0xc5, 0x35, 0xf5, 0x06, 0xb0, 0x4c, 0x1e, 0xb7, 0x4e, 0x87, 0xe9, 0xd9, 0x89, 0xd8, 0xfa, 0x5c, 0x34, 0x0d, 0x7c}, + subYX: fp.Elt{0x55, 0xf3, 0xdc, 0x70, 0x20, 0x11, 0x24, 0x23, 0x17, 0xe1, 0xfc, 0xe7, 0x7e, 0xc9, 0x0c, 0x38, 0x98, 0xb6, 0x52, 0x35, 0xed, 0xde, 0x1d, 0xb3, 0xb9, 0xc4, 0xb8, 0x39, 0xc0, 0x56, 0x4e, 0x40}, + dt2: fp.Elt{0x8a, 0x33, 0x78, 0x8c, 0x4b, 0x1f, 0x1f, 0x59, 0xe1, 0xb5, 0xe0, 0x67, 0xb1, 0x6a, 0x36, 0xa0, 0x44, 0x3d, 0x5f, 0xb4, 0x52, 0x41, 0xbc, 0x5c, 0x77, 0xc7, 0xae, 0x2a, 0x76, 0x54, 0xd7, 0x20}, + }, + { /* 43P */ + addYX: fp.Elt{0x58, 0xb7, 0x3b, 0xc7, 0x6f, 0xc3, 0x8f, 0x5e, 0x9a, 0xbb, 0x3c, 0x36, 0xa5, 0x43, 0xe5, 0xac, 0x22, 0xc9, 0x3b, 0x90, 0x7d, 0x4a, 0x93, 0xa9, 0x62, 0xec, 0xce, 0xf3, 0x46, 0x1e, 0x8f, 0x2b}, + subYX: fp.Elt{0x43, 0xf5, 0xb9, 0x35, 0xb1, 0xfe, 0x74, 0x9d, 0x6c, 0x95, 0x8c, 0xde, 0xf1, 0x7d, 0xb3, 0x84, 0xa9, 0x8b, 0x13, 0x57, 0x07, 0x2b, 0x32, 0xe9, 0xe1, 0x4c, 0x0b, 0x79, 0xa8, 0xad, 0xb8, 0x38}, + dt2: fp.Elt{0x5d, 0xf9, 0x51, 0xdf, 0x9c, 0x4a, 0xc0, 0xb5, 0xac, 0xde, 0x1f, 0xcb, 0xae, 0x52, 0x39, 0x2b, 0xda, 0x66, 0x8b, 0x32, 0x8b, 0x6d, 0x10, 0x1d, 0x53, 0x19, 0xba, 0xce, 0x32, 0xeb, 0x9a, 0x04}, + }, + { /* 45P */ + addYX: fp.Elt{0x31, 0x79, 0xfc, 0x75, 0x0b, 0x7d, 0x50, 0xaa, 0xd3, 0x25, 0x67, 0x7a, 0x4b, 0x92, 0xef, 0x0f, 0x30, 0x39, 0x6b, 0x39, 0x2b, 0x54, 0x82, 0x1d, 0xfc, 0x74, 0xf6, 0x30, 0x75, 0xe1, 0x5e, 0x79}, + subYX: fp.Elt{0x7e, 0xfe, 0xdc, 0x63, 0x3c, 0x7d, 0x76, 0xd7, 0x40, 0x6e, 0x85, 0x97, 0x48, 0x59, 0x9c, 0x20, 0x13, 0x7c, 0x4f, 0xe1, 0x61, 0x68, 0x67, 0xb6, 0xfc, 0x25, 0xd6, 0xc8, 0xe0, 0x65, 0xc6, 0x51}, + dt2: fp.Elt{0x81, 0xbd, 0xec, 0x52, 0x0a, 0x5b, 0x4a, 0x25, 0xe7, 0xaf, 0x34, 0xe0, 0x6e, 0x1f, 0x41, 0x5d, 0x31, 0x4a, 0xee, 0xca, 0x0d, 0x4d, 0xa2, 0xe6, 0x77, 0x44, 0xc5, 0x9d, 0xf4, 0x9b, 0xd1, 0x6c}, + }, + { /* 47P */ + addYX: fp.Elt{0x86, 0xc3, 0xaf, 0x65, 0x21, 0x61, 0xfe, 0x1f, 0x10, 0x1b, 0xd5, 0xb8, 0x88, 0x2a, 0x2a, 0x08, 0xaa, 0x0b, 0x99, 0x20, 0x7e, 0x62, 0xf6, 0x76, 0xe7, 0x43, 0x9e, 0x42, 0xa7, 0xb3, 0x01, 0x5e}, + subYX: fp.Elt{0xa3, 0x9c, 0x17, 0x52, 0x90, 0x61, 0x87, 0x7e, 0x85, 0x9f, 0x2c, 0x0b, 0x06, 0x0a, 0x1d, 0x57, 0x1e, 0x71, 0x99, 0x84, 0xa8, 0xba, 0xa2, 0x80, 0x38, 0xe6, 0xb2, 0x40, 0xdb, 0xf3, 0x20, 0x75}, + dt2: fp.Elt{0xa1, 0x57, 0x93, 0xd3, 0xe3, 0x0b, 0xb5, 0x3d, 0xa5, 0x94, 0x9e, 0x59, 0xdd, 0x6c, 0x7b, 0x96, 0x6e, 0x1e, 0x31, 0xdf, 0x64, 0x9a, 0x30, 0x1a, 0x86, 0xc9, 0xf3, 0xce, 0x9c, 0x2c, 0x09, 0x71}, + }, + { /* 49P */ + addYX: fp.Elt{0xcf, 0x1d, 0x05, 0x74, 0xac, 0xd8, 0x6b, 0x85, 0x1e, 0xaa, 0xb7, 0x55, 0x08, 0xa4, 0xf6, 0x03, 0xeb, 0x3c, 0x74, 0xc9, 0xcb, 0xe7, 0x4a, 0x3a, 0xde, 0xab, 0x37, 0x71, 0xbb, 0xa5, 0x73, 0x41}, + subYX: fp.Elt{0x8c, 0x91, 0x64, 0x03, 0x3f, 0x52, 0xd8, 0x53, 0x1c, 0x6b, 0xab, 0x3f, 0xf4, 0x04, 0xb4, 0xa2, 0xa4, 0xe5, 0x81, 0x66, 0x9e, 0x4a, 0x0b, 0x08, 0xa7, 0x7b, 0x25, 0xd0, 0x03, 0x5b, 0xa1, 0x0e}, + dt2: fp.Elt{0x8a, 0x21, 0xf9, 0xf0, 0x31, 0x6e, 0xc5, 0x17, 0x08, 0x47, 0xfc, 0x1a, 0x2b, 0x6e, 0x69, 0x5a, 0x76, 0xf1, 0xb2, 0xf4, 0x68, 0x16, 0x93, 0xf7, 0x67, 0x3a, 0x4e, 0x4a, 0x61, 0x65, 0xc5, 0x5f}, + }, + { /* 51P */ + addYX: fp.Elt{0x8e, 0x98, 0x90, 0x77, 0xe6, 0xe1, 0x92, 0x48, 0x22, 0xd7, 0x5c, 0x1c, 0x0f, 0x95, 0xd5, 0x01, 0xed, 0x3e, 0x92, 0xe5, 0x9a, 0x81, 0xb0, 0xe3, 0x1b, 0x65, 0x46, 0x9d, 0x40, 0xc7, 0x14, 0x32}, + subYX: fp.Elt{0xe5, 0x7a, 0x6d, 0xc4, 0x0d, 0x57, 0x6e, 0x13, 0x8f, 0xdc, 0xf8, 0x54, 0xcc, 0xaa, 0xd0, 0x0f, 0x86, 0xad, 0x0d, 0x31, 0x03, 0x9f, 0x54, 0x59, 0xa1, 0x4a, 0x45, 0x4c, 0x41, 0x1c, 0x71, 0x62}, + dt2: fp.Elt{0x70, 0x17, 0x65, 0x06, 0x74, 0x82, 0x29, 0x13, 0x36, 0x94, 0x27, 0x8a, 0x66, 0xa0, 0xa4, 0x3b, 0x3c, 0x22, 0x5d, 0x18, 0xec, 0xb8, 0xb6, 0xd9, 0x3c, 0x83, 0xcb, 0x3e, 0x07, 0x94, 0xea, 0x5b}, + }, + { /* 53P */ + addYX: fp.Elt{0xf8, 0xd2, 0x43, 0xf3, 0x63, 0xce, 0x70, 0xb4, 0xf1, 0xe8, 0x43, 0x05, 0x8f, 0xba, 0x67, 0x00, 0x6f, 0x7b, 0x11, 0xa2, 0xa1, 0x51, 0xda, 0x35, 0x2f, 0xbd, 0xf1, 0x44, 0x59, 0x78, 0xd0, 0x4a}, + subYX: fp.Elt{0xe4, 0x9b, 0xc8, 0x12, 0x09, 0xbf, 0x1d, 0x64, 0x9c, 0x57, 0x6e, 0x7d, 0x31, 0x8b, 0xf3, 0xac, 0x65, 0xb0, 0x97, 0xf6, 0x02, 0x9e, 0xfe, 0xab, 0xec, 0x1e, 0xf6, 0x48, 0xc1, 0xd5, 0xac, 0x3a}, + dt2: fp.Elt{0x01, 0x83, 0x31, 0xc3, 0x34, 0x3b, 0x8e, 0x85, 0x26, 0x68, 0x31, 0x07, 0x47, 0xc0, 0x99, 0xdc, 0x8c, 0xa8, 0x9d, 0xd3, 0x2e, 0x5b, 0x08, 0x34, 0x3d, 0x85, 0x02, 0xd9, 0xb1, 0x0c, 0xff, 0x3a}, + }, + { /* 55P */ + addYX: fp.Elt{0x05, 0x35, 0xc5, 0xf4, 0x0b, 0x43, 0x26, 0x92, 0x83, 0x22, 0x1f, 0x26, 0x13, 0x9c, 0xe4, 0x68, 0xc6, 0x27, 0xd3, 0x8f, 0x78, 0x33, 0xef, 0x09, 0x7f, 0x9e, 0xd9, 0x2b, 0x73, 0x9f, 0xcf, 0x2c}, + subYX: fp.Elt{0x5e, 0x40, 0x20, 0x3a, 0xeb, 0xc7, 0xc5, 0x87, 0xc9, 0x56, 0xad, 0xed, 0xef, 0x11, 0xe3, 0x8e, 0xf9, 0xd5, 0x29, 0xad, 0x48, 0x2e, 0x25, 0x29, 0x1d, 0x25, 0xcd, 0xf4, 0x86, 0x7e, 0x0e, 0x11}, + dt2: fp.Elt{0xe4, 0xf5, 0x03, 0xd6, 0x9e, 0xd8, 0xc0, 0x57, 0x0c, 0x20, 0xb0, 0xf0, 0x28, 0x86, 0x88, 0x12, 0xb7, 0x3b, 0x2e, 0xa0, 0x09, 0x27, 0x17, 0x53, 0x37, 0x3a, 0x69, 0xb9, 0xe0, 0x57, 0xc5, 0x05}, + }, + { /* 57P */ + addYX: fp.Elt{0xb0, 0x0e, 0xc2, 0x89, 0xb0, 0xbb, 0x76, 0xf7, 0x5c, 0xd8, 0x0f, 0xfa, 0xf6, 0x5b, 0xf8, 0x61, 0xfb, 0x21, 0x44, 0x63, 0x4e, 0x3f, 0xb9, 0xb6, 0x05, 0x12, 0x86, 0x41, 0x08, 0xef, 0x9f, 0x28}, + subYX: fp.Elt{0x6f, 0x7e, 0xc9, 0x1f, 0x31, 0xce, 0xf9, 0xd8, 0xae, 0xfd, 0xf9, 0x11, 0x30, 0x26, 0x3f, 0x7a, 0xdd, 0x25, 0xed, 0x8b, 0xa0, 0x7e, 0x5b, 0xe1, 0x5a, 0x87, 0xe9, 0x8f, 0x17, 0x4c, 0x15, 0x6e}, + dt2: fp.Elt{0xbf, 0x9a, 0xd6, 0xfe, 0x36, 0x63, 0x61, 0xcf, 0x4f, 0xc9, 0x35, 0x83, 0xe7, 0xe4, 0x16, 0x9b, 0xe7, 0x7f, 0x3a, 0x75, 0x65, 0x97, 0x78, 0x13, 0x19, 0xa3, 0x5c, 0xa9, 0x42, 0xf6, 0xfb, 0x6a}, + }, + { /* 59P */ + addYX: fp.Elt{0xcc, 0xa8, 0x13, 0xf9, 0x70, 0x50, 0xe5, 0x5d, 0x61, 0xf5, 0x0c, 0x2b, 0x7b, 0x16, 0x1d, 0x7d, 0x89, 0xd4, 0xea, 0x90, 0xb6, 0x56, 0x29, 0xda, 0xd9, 0x1e, 0x80, 0xdb, 0xce, 0x93, 0xc0, 0x12}, + subYX: fp.Elt{0xc1, 0xd2, 0xf5, 0x62, 0x0c, 0xde, 0xa8, 0x7d, 0x9a, 0x7b, 0x0e, 0xb0, 0xa4, 0x3d, 0xfc, 0x98, 0xe0, 0x70, 0xad, 0x0d, 0xda, 0x6a, 0xeb, 0x7d, 0xc4, 0x38, 0x50, 0xb9, 0x51, 0xb8, 0xb4, 0x0d}, + dt2: fp.Elt{0x0f, 0x19, 0xb8, 0x08, 0x93, 0x7f, 0x14, 0xfc, 0x10, 0xe3, 0x1a, 0xa1, 0xa0, 0x9d, 0x96, 0x06, 0xfd, 0xd7, 0xc7, 0xda, 0x72, 0x55, 0xe7, 0xce, 0xe6, 0x5c, 0x63, 0xc6, 0x99, 0x87, 0xaa, 0x33}, + }, + { /* 61P */ + addYX: fp.Elt{0xb1, 0x6c, 0x15, 0xfc, 0x88, 0xf5, 0x48, 0x83, 0x27, 0x6d, 0x0a, 0x1a, 0x9b, 0xba, 0xa2, 0x6d, 0xb6, 0x5a, 0xca, 0x87, 0x5c, 0x2d, 0x26, 0xe2, 0xa6, 0x89, 0xd5, 0xc8, 0xc1, 0xd0, 0x2c, 0x21}, + subYX: fp.Elt{0xf2, 0x5c, 0x08, 0xbd, 0x1e, 0xf5, 0x0f, 0xaf, 0x1f, 0x3f, 0xd3, 0x67, 0x89, 0x1a, 0xf5, 0x78, 0x3c, 0x03, 0x60, 0x50, 0xe1, 0xbf, 0xc2, 0x6e, 0x86, 0x1a, 0xe2, 0xe8, 0x29, 0x6f, 0x3c, 0x23}, + dt2: fp.Elt{0x81, 0xc7, 0x18, 0x7f, 0x10, 0xd5, 0xf4, 0xd2, 0x28, 0x9d, 0x7e, 0x52, 0xf2, 0xcd, 0x2e, 0x12, 0x41, 0x33, 0x3d, 0x3d, 0x2a, 0x86, 0x0a, 0xa7, 0xe3, 0x4c, 0x91, 0x11, 0x89, 0x77, 0xb7, 0x1d}, + }, + { /* 63P */ + addYX: fp.Elt{0xb6, 0x1a, 0x70, 0xdd, 0x69, 0x47, 0x39, 0xb3, 0xa5, 0x8d, 0xcf, 0x19, 0xd4, 0xde, 0xb8, 0xe2, 0x52, 0xc8, 0x2a, 0xfd, 0x61, 0x41, 0xdf, 0x15, 0xbe, 0x24, 0x7d, 0x01, 0x8a, 0xca, 0xe2, 0x7a}, + subYX: fp.Elt{0x6f, 0xc2, 0x6b, 0x7c, 0x39, 0x52, 0xf3, 0xdd, 0x13, 0x01, 0xd5, 0x53, 0xcc, 0xe2, 0x97, 0x7a, 0x30, 0xa3, 0x79, 0xbf, 0x3a, 0xf4, 0x74, 0x7c, 0xfc, 0xad, 0xe2, 0x26, 0xad, 0x97, 0xad, 0x31}, + dt2: fp.Elt{0x62, 0xb9, 0x20, 0x09, 0xed, 0x17, 0xe8, 0xb7, 0x9d, 0xda, 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intended for testing", + "the verification of Eddsa signatures." + ], + "notes" : { + "SignatureMalleability" : "EdDSA signatures are non-malleable, if implemented accordingly. Failing to check the range of S allows to modify signatures. See RFC 8032, Section 5.2.7 and Section 8.4." + }, + "schema" : "eddsa_verify_schema.json", + "testGroups" : [ + { + "jwk" : { + "crv" : "Ed25519", + "d" : "rdS7gQN4W6-axTQljoqvZfXxrbXvXz3xm7gKuYnE1ks", + "kid" : "none", + "kty" : "OKP", + "x" : "fU0Of2FTpptiQrUiq77mhf2kQg-INLEIw72uNp71Sfo" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "7d4d0e7f6153a69b6242b522abbee685fda4420f8834b108c3bdae369ef549fa", + "sk" : "add4bb8103785baf9ac534258e8aaf65f5f1adb5ef5f3df19bb80ab989c4d64b", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b65700321007d4d0e7f6153a69b6242b522abbee685fda4420f8834b108c3bdae369ef549fa", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAfU0Of2FTpptiQrUiq77mhf2kQg+INLEIw72uNp71Sfo=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 1, + "comment" : "", + "msg" : "", + "sig" : "d4fbdb52bfa726b44d1786a8c0d171c3e62ca83c9e5bbe63de0bb2483f8fd6cc1429ab72cafc41ab56af02ff8fcc43b99bfe4c7ae940f60f38ebaa9d311c4007", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "", + "msg" : "78", + "sig" : "d80737358ede548acb173ef7e0399f83392fe8125b2ce877de7975d8b726ef5b1e76632280ee38afad12125ea44b961bf92f1178c9fa819d020869975bcbe109", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 3, + "comment" : "", + "msg" : "54657374", + "sig" : "7c38e026f29e14aabd059a0f2db8b0cd783040609a8be684db12f82a27774ab07a9155711ecfaf7f99f277bad0c6ae7e39d4eef676573336a5c51eb6f946b30d", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "", + "msg" : "48656c6c6f", + "sig" : "1c1ad976cbaae3b31dee07971cf92c928ce2091a85f5899f5e11ecec90fc9f8e93df18c5037ec9b29c07195ad284e63d548cd0a6fe358cc775bd6c1608d2c905", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 5, + "comment" : "", + "msg" : "313233343030", + "sig" : "657c1492402ab5ce03e2c3a7f0384d051b9cf3570f1207fc78c1bcc98c281c2bf0cf5b3a289976458a1be6277a5055545253b45b07dcc1abd96c8b989c00f301", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 6, + "comment" : "", + "msg" : "000000000000000000000000", + "sig" : "d46543bfb892f84ec124dcdfc847034c19363bf3fc2fa89b1267833a14856e52e60736918783f950b6f1dd8d40dc343247cd43ce054c2d68ef974f7ed0f3c60f", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 7, + "comment" : "", + "msg" : "6161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161", + "sig" : "879350045543bc14ed2c08939b68c30d22251d83e018cacbaf0c9d7a48db577e80bdf76ce99e5926762bc13b7b3483260a5ef63d07e34b58eb9c14621ac92f00", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 8, + "comment" : "", + "msg" : "202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f60", + "sig" : 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"e2SijFDsdnipDj4aIVIuMKydt7UhWuor-zO-oDfquYc" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "7b64a28c50ec7678a90e3e1a21522e30ac9db7b5215aea2bfb33bea037eab987", + "sk" : "a89ea18476b9ad90cb14b8b1ff24777e4ebd015bc810a60785a9154dacf3be52", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b65700321007b64a28c50ec7678a90e3e1a21522e30ac9db7b5215aea2bfb33bea037eab987", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAe2SijFDsdnipDj4aIVIuMKydt7UhWuor+zO+oDfquYc=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 136, + "comment" : "regression test for arithmetic error", + "msg" : "6e911edb27a170b983d4dee1110554f804330f41", + "sig" : "4204d620cde0c3008c0b2901f5d6b44f88f0e3cb4f4d62252bf6f3cb37c1fb150a9ccb296afe5e7c75f65b5c8edd13dc4910ffe1e1265b3707c59042cf9a5902", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "abHaVs3o0WdsKowOf5XH0L9gc579EwTdLMsCcp0Xoiw", + "kid" : "none", + "kty" : "OKP", + "x" : "ckRSIQqeTJlIGSKb8Sv4TpV2ijqXwI2Nj1-TmkytNMU" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "724452210a9e4c994819229bf12bf84e95768a3a97c08d8d8f5f939a4cad34c5", + "sk" : "69b1da56cde8d1676c2a8c0e7f95c7d0bf60739efd1304dd2ccb02729d17a22c", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b6570032100724452210a9e4c994819229bf12bf84e95768a3a97c08d8d8f5f939a4cad34c5", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAckRSIQqeTJlIGSKb8Sv4TpV2ijqXwI2Nj1+TmkytNMU=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 137, + "comment" : "regression test for arithmetic error", + "msg" : "b8cf807eea809aaf739aa091f3b7a3f2fd39fb51", + "sig" : "f8a69d3fd8c2ff0a9dec41e4c6b43675ce08366a35e220b1185ffc246c339e22c20ac661e866f52054015efd04f42eca2adcee6834c4df923b4a62576e4dff0e", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "szImXPlVlfDJAiFZO1orPFdNYNxjTd_2GG8O7XmAo4M", + "kid" : "none", + "kty" : "OKP", + "x" : "utJlspTtL0IstqFBaUCGI4-_6YdXGqdl2LTzokEFqgE" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "bad265b294ed2f422cb6a141694086238fbfe987571aa765d8b4f3a24105aa01", + "sk" : "b332265cf95595f0c90221593b5a2b3c574d60dc634ddff6186f0eed7980a383", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b6570032100bad265b294ed2f422cb6a141694086238fbfe987571aa765d8b4f3a24105aa01", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAutJlspTtL0IstqFBaUCGI4+/6YdXGqdl2LTzokEFqgE=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 138, + "comment" : "regression test for arithmetic error", + "msg" : "01a2b5f7fee813b4e9bd7fc25137648004795010", + "sig" : "61792c9442bc6338ac41fd42a40bee9b02ec1836503d60ff725128c63d72808880c36e6190b7da525cbee5d12900aa043547dd14a2709ef9e49d628f37f6b70c", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "-uyXZLNp3w7xCJDdAixQLlUaMiK0PoQpRVSWx2_upF0", + "kid" : "none", + "kty" : "OKP", + "x" : "Cq7ktyPbm1G6fSLrI-uKdqWsAvT8ndBvd76kLh037Fo" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "0aaee4b723db9b51ba7d22eb23eb8a76a5ac02f4fc9dd06f77bea42e1d37ec5a", + "sk" : "faec9764b369df0ef10890dd022c502e551a3222b43e8429455496c76feea45d", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b65700321000aaee4b723db9b51ba7d22eb23eb8a76a5ac02f4fc9dd06f77bea42e1d37ec5a", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEACq7ktyPbm1G6fSLrI+uKdqWsAvT8ndBvd76kLh037Fo=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 139, + "comment" : "regression test for arithmetic error", + "msg" : "0fbf5d47cb5d498feace8f98f1896208da38a885", + "sig" : "fa3cd41e3a8c00b19eecd404a63c3cb787cd30de0dfc936966cff2117f5aff18db6bef80fcfd8856f3fb2e9c3dc47593e9471103032af918feee638a33d40505", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "TrGeJ496MKBqfVXkLER3X0qBt6RcBRKq4CYmLnF3Daw", + "kid" : "none", + "kty" : "OKP", + "x" : "gSNErxWpG6g8LJHpbxcnrA88TEE4W5-oTvo5mtpRaL4" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "812344af15a91ba83c2c91e96f1727ac0f3c4c41385b9fa84efa399ada5168be", + "sk" : "4eb19e278f7a30a06a7d55e42c44775f4a81b7a45c0512aae026262e71770dac", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b6570032100812344af15a91ba83c2c91e96f1727ac0f3c4c41385b9fa84efa399ada5168be", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAgSNErxWpG6g8LJHpbxcnrA88TEE4W5+oTvo5mtpRaL4=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 140, + "comment" : "regression test for arithmetic error", + "msg" : "36e67c1939750bffb3e4ba6cb85562612275e862", + "sig" : "97fbbcd7a1d0eb42d2f8c42448ef35a2c2472740556b645547865330d6c57068af377fced08aaf810c08cd3c43d296f1975710312e9334c98b485f831efa4103", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "GZjVlJyrNloA-Cjn0XsGxwjTP-8AMdNTpOFb9yIqc7A", + "kid" : "none", + "kty" : "OKP", + "x" : "DuXLVZf7343MxIsBSF45szqhM7UtMNI3QCdyZ8_sPj4" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "0ee5cb5597fbdf8dccc48b01485e39b33aa133b52d30d23740277267cfec3e3e", + "sk" : "1998d5949cab365a00f828e7d17b06c708d33fef0031d353a4e15bf7222a73b0", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b65700321000ee5cb5597fbdf8dccc48b01485e39b33aa133b52d30d23740277267cfec3e3e", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEADuXLVZf7343MxIsBSF45szqhM7UtMNI3QCdyZ8/sPj4=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 141, + "comment" : "regression test for arithmetic error", + "msg" : "13945c894c1d3fe8562e8b20e5f0efaa26ade8e3", + "sig" : "d7dbaa337ffd2a5fd8d5fd8ad5aeccc0c0f83795c2c59fe62a40b87903b1ae62ed748a8df5af4d32f9f822a65d0e498b6f40eaf369a9342a1164ee7d08b58103", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "YWRnYRTGa9mIfaw0HGYgncWHzPDMXNm6_9-skpWgDEo", + "kid" : "none", + "kty" : "OKP", + "x" : "n7od6StgtbRwMIl2PQ1vkSXk3X765B8IoiiCrvloksQ" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "9fba1de92b60b5b4703089763d0d6f9125e4dd7efae41f08a22882aef96892c4", + "sk" : "6164676114c66bd9887dac341c66209dc587ccf0cc5cd9baffdfac9295a00c4a", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b65700321009fba1de92b60b5b4703089763d0d6f9125e4dd7efae41f08a22882aef96892c4", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAn7od6StgtbRwMIl2PQ1vkSXk3X765B8IoiiCrvloksQ=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 142, + "comment" : "regression test for arithmetic error", + "msg" : "4de142af4b8402f80a47fa812df84f42e283cee7", + "sig" : "09a2ed303a2fa7027a1dd7c3b0d25121eeed2b644a2fbc17aa0c8aea4524071ede7e7dd7a536d5497f8165d29e4e1b63200f74bbae39fbbbccb29889c62c1f09", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "SwvQOgOyAGnMvMIUp0SEc_TnpJH6fOtI3b4kyDxKpLs", + "kid" : "none", + "kty" : "OKP", + "x" : "dYKrG1LhMW5cE2cfQ7Oco2soEzzQgygxvN3QsPIzmMs" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "7582ab1b52e1316e5c13671f43b39ca36b28133cd0832831bcddd0b0f23398cb", + "sk" : "4b0bd03a03b20069ccbcc214a7448473f4e7a491fa7ceb48ddbe24c83c4aa4bb", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b65700321007582ab1b52e1316e5c13671f43b39ca36b28133cd0832831bcddd0b0f23398cb", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAdYKrG1LhMW5cE2cfQ7Oco2soEzzQgygxvN3QsPIzmMs=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 143, + "comment" : "regression test for arithmetic error", + "msg" : "563357f41b8b23b1d83f19f5667177a67da20b18", + "sig" : "e6884a6e6b2e60a0b5862251c001e7c79d581d777d6fc11d218d0aecd79f26a30e2ca22cc7c4674f8b72655bc4ee5cb5494ca07c05177656142ac55cc9d33e02", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "L854cL4fOS0h-x0jUOx4d9uKqZs1n-W91TOP81p5HRw", + "kid" : "none", + "kty" : "OKP", + "x" : "3S1ni64iLz-26CePCMyeGmYznJJsKawKFvlxf17hjNg" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "dd2d678bae222f3fb6e8278f08cc9e1a66339c926c29ac0a16f9717f5ee18cd8", + "sk" : "2fce7870be1f392d21fb1d2350ec7877db8aa99b359fe5bdd5338ff35a791d1c", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b6570032100dd2d678bae222f3fb6e8278f08cc9e1a66339c926c29ac0a16f9717f5ee18cd8", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEA3S1ni64iLz+26CePCMyeGmYznJJsKawKFvlxf17hjNg=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 144, + "comment" : "regression test for arithmetic error", + "msg" : "931bbf9c877a6571cf7d4609fc3eb867edd43f51", + "sig" : "6124c206d864507ea5d984b363b4cf583314db6856a45ded5e61eebff4d5e337e0b4c82b445ae2e52d549d2d961eace2ea01f81158e09a9686baa040db65ad08", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed25519", + "d" : "qazkIZXduzoW82ayTdnTeooEPtLmAB9UZSKWdQN5Nn0", + "kid" : "none", + "kty" : "OKP", + "x" : "zL58suS8IVzuL4heHSL34NWCsru9eCwQTlSLFS0m_Gk" + }, + "key" : { + "curve" : "edwards25519", + "keySize" : 255, + "pk" : "ccbe7cb2e4bc215cee2f885e1d22f7e0d582b2bbbd782c104e548b152d26fc69", + "sk" : "a9ace42195ddbb3a16f366b24dd9d37a8a043ed2e6001f54652296750379367d", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "302a300506032b6570032100ccbe7cb2e4bc215cee2f885e1d22f7e0d582b2bbbd782c104e548b152d26fc69", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMCowBQYDK2VwAyEAzL58suS8IVzuL4heHSL34NWCsru9eCwQTlSLFS0m/Gk=\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 145, + "comment" : "regression test for arithmetic error", + "msg" : "44530b0b34f598767a7b875b0caee3c7b9c502d1", + "sig" : "cfbd450a2c83cb8436c348822fe3ee347d4ee937b7f2ea11ed755cc52852407c9eec2c1fa30d2f9aef90e89b2cc3bcef2b1b9ca59f712110d19894a9cf6a2802", + "result" : "valid", + "flags" : [] + } + ] + } + ] +} diff --git a/src/circl/sign/ed25519/wycheproof_test.go b/src/circl/sign/ed25519/wycheproof_test.go new file mode 100644 index 00000000000..10e8e990e90 --- /dev/null +++ b/src/circl/sign/ed25519/wycheproof_test.go @@ -0,0 +1,111 @@ +package ed25519_test + +import ( + "bytes" + "encoding/hex" + "encoding/json" + "io/ioutil" + "os" + "testing" + + "circl/internal/test" + "circl/sign/ed25519" +) + +type group struct { + Key struct { + Curve string `json:"curve"` + Size int `json:"keySize"` + Pk string `json:"pk"` + Sk string `json:"sk"` + Type string `json:"type"` + } `json:"key"` + Type string `json:"type"` + Tests []struct { + TcID int `json:"tcId"` + Comment string `json:"comment"` + Msg string `json:"msg"` + Sig string `json:"sig"` + Result string `json:"result"` + Flags []string `json:"flags"` + } `json:"tests"` +} + +type Wycheproof struct { + Alg string `json:"algorithm"` + Version string `json:"generatorVersion"` + Num int `json:"numberOfTests"` + Groups []group `json:"testGroups"` +} + +func (kat *Wycheproof) readFile(t *testing.T, fileName string) { + jsonFile, err := os.Open(fileName) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", fileName, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + + err = json.Unmarshal(input, &kat) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", fileName, err) + } +} + +func (kat *Wycheproof) keyPair(t *testing.T) { + for i, g := range kat.Groups { + if g.Key.Curve != "edwards25519" { + t.Errorf("Curve not expected %v", g.Key.Curve) + } + private, _ := hex.DecodeString(g.Key.Sk) + public, _ := hex.DecodeString(g.Key.Pk) + keys := ed25519.NewKeyFromSeed(private) + got := keys.GetPublic() + want := public + + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, i, g.Key.Sk) + } + } +} + +func (kat *Wycheproof) verify(t *testing.T) { + for i, g := range kat.Groups { + for _, gT := range g.Tests { + isValid := gT.Result == "valid" + private, _ := hex.DecodeString(g.Key.Sk) + public, _ := hex.DecodeString(g.Key.Pk) + sig, _ := hex.DecodeString(gT.Sig) + msg, _ := hex.DecodeString(gT.Msg) + + keys := ed25519.NewKeyFromSeed(private) + got := keys.GetPublic() + want := public + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, i, gT.TcID) + } + if isValid { + got, err := keys.SignPure(msg) + want := sig + if !bytes.Equal(got, want) || err != nil { + test.ReportError(t, got, want, i, gT.TcID) + } + } + { + got := ed25519.VerifyPure(keys.GetPublic(), msg, sig) + want := isValid + if got != want { + test.ReportError(t, got, want, i, gT.TcID) + } + } + } + } +} + +func TestWycheproof(t *testing.T) { + // Test vectors from Wycheproof v0.4.12 + var kat Wycheproof + kat.readFile(t, "testdata/wycheproof_Ed25519.json") + t.Run("EDDSAKeyPair", kat.keyPair) + t.Run("EDDSAVerify", kat.verify) +} diff --git a/src/circl/sign/ed448/ed448.go b/src/circl/sign/ed448/ed448.go new file mode 100644 index 00000000000..0940c2c7629 --- /dev/null +++ b/src/circl/sign/ed448/ed448.go @@ -0,0 +1,337 @@ +// Package ed448 implements Ed448 signature scheme as described in RFC-8032. +// +// References: +// - RFC8032 https://rfc-editor.org/rfc/rfc8032.txt +// - EdDSA for more curves https://eprint.iacr.org/2015/677 +// - High-speed high-security signatures. https://doi.org/10.1007/s13389-012-0027-1 +package ed448 + +import ( + "bytes" + "crypto" + cryptoRand "crypto/rand" + "errors" + "fmt" + "io" + "strconv" + + "circl/ecc/goldilocks" + sha3 "circl/internal/shake" +) + +const ( + // PublicKeySize is the length in bytes of Ed448 public keys. + PublicKeySize = 57 + // PrivateKeySize is the length in bytes of Ed448 private keys. + PrivateKeySize = 57 + // SignatureSize is the length in bytes of signatures. + SignatureSize = 114 + // ContextMaxSize is the maximum length (in bytes) allowed for context. + ContextMaxSize = 255 +) +const ( + paramB = 456 / 8 // Size of keys in bytes. + hashSize = 2 * paramB // Size of the hash function's output. +) + +// Options are the options that the ed448 functions can take. +type Options struct { + // Hash should be crypto.Hash(0) for Ed448 + crypto.Hash + + // Context is an optional domain separation string for Ed448ph. + // Its length must be less or equal than 255 bytes. + Context string + + // Prehash should be set for ed448ph, indicating that the message + // will be prehashed with SHAKE256. + PreHash bool +} + +// PublicKey represents a public key of Ed448. +type PublicKey []byte + +// PrivateKey represents a private key of Ed448. +type PrivateKey []byte + +// KeyPair implements crypto.Signer (golang.org/pkg/crypto/#Signer) interface. +type KeyPair struct { + private [PrivateKeySize]byte + public [PublicKeySize]byte +} + +// GetPrivate returns a copy of the private key. +func (kp *KeyPair) GetPrivate() PrivateKey { z := kp.private; return z[:] } + +// GetPublic returns a copy of the public key. +func (kp *KeyPair) GetPublic() PublicKey { z := kp.public; return z[:] } + +// Seed returns the private key seed. +func (kp *KeyPair) Seed() []byte { return kp.GetPrivate() } + +// Public returns a crypto.PublicKey. +func (kp *KeyPair) Public() crypto.PublicKey { return kp.GetPublic() } + +// Sign creates a signature of a message given a key pair. +// This function supports all the two signature variants defined in RFC-8032, +// namely Ed448 (or pure EdDSA) and Ed448Ph. +// The opts.HashFunc() must return zero to the specify Ed448 variant. This can +// be achieved by passing crypto.Hash(0) as the value for opts. +// Use an Options struct to pass a bool indicating that the ed448Ph variant +// should be used. +// The struct can also be optionally used to pass a context string for signing. +func (kp *KeyPair) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) ([]byte, error) { + var ctx string + var preHash bool + + if o, ok := opts.(*Options); ok { + preHash = o.PreHash + ctx = o.Context + } + + if preHash { + return kp.SignPh(message, ctx) + } + + switch opts.HashFunc() { + case crypto.Hash(0): + return kp.SignPure(message, ctx) + default: + return nil, errors.New("ed448: bad hash algorithm") + } +} + +// GenerateKey produces public and private keys using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*KeyPair, error) { + if rand == nil { + rand = cryptoRand.Reader + } + seed := make(PrivateKey, PrivateKeySize) + if _, err := io.ReadFull(rand, seed); err != nil { + return nil, err + } + return NewKeyFromSeed(seed), nil +} + +// NewKeyFromSeed generates a pair of Ed448 keys given a private key. +func NewKeyFromSeed(seed PrivateKey) *KeyPair { + if len(seed) != PrivateKeySize { + panic("ed448: bad private key length") + } + var h [hashSize]byte + H := sha3.NewShake256() + _, _ = H.Write(seed) + _, _ = H.Read(h[:]) + s := &goldilocks.Scalar{} + deriveSecretScalar(s, h[:paramB]) + + pair := &KeyPair{} + copy(pair.private[:], seed) + _ = goldilocks.Curve{}.ScalarBaseMult(s).ToBytes(pair.public[:]) + return pair +} + +func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { + H := sha3.NewShake256() + var d []byte + + if preHash { + var h [64]byte + _, _ = H.Write(message) + _, _ = H.Read(h[:]) + d = h[:] + H.Reset() + } else { + d = message + } + + // 1. Hash the 57-byte private key using SHAKE256(x, 114). + var h [hashSize]byte + _, _ = H.Write(kp.private[:]) + _, _ = H.Read(h[:]) + s := &goldilocks.Scalar{} + deriveSecretScalar(s, h[:paramB]) + prefix := h[paramB:] + + // 2. Compute SHAKE256(dom4(F, C) || prefix || PH(M), 114). + var rPM [hashSize]byte + H.Reset() + + writeDom(&H, ctx, preHash) + + _, _ = H.Write(prefix) + _, _ = H.Write(d) + _, _ = H.Read(rPM[:]) + + // 3. Compute the point [r]B. + r := &goldilocks.Scalar{} + r.FromBytes(rPM[:]) + R := (&[paramB]byte{})[:] + err := goldilocks.Curve{}.ScalarBaseMult(r).ToBytes(R) + + // 4. Compute SHAKE256(dom4(F, C) || R || A || PH(M), 114) + var hRAM [hashSize]byte + H.Reset() + + writeDom(&H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(kp.public[:]) + _, _ = H.Write(d) + _, _ = H.Read(hRAM[:]) + + // 5. Compute S = (r + k * s) mod order. + k := &goldilocks.Scalar{} + k.FromBytes(hRAM[:]) + S := &goldilocks.Scalar{} + S.Mul(k, s) + S.Add(S, r) + + // 6. The signature is the concatenation of R and S. + var signature [SignatureSize]byte + copy(signature[:paramB], R[:]) + copy(signature[paramB:], S[:]) + return signature[:], err +} + +// SignPure creates a signature of a message given a keypair. +// This function supports the signature variant defined in RFC-8032: Ed448, +// also known as the pure version of EdDSA. +func (kp *KeyPair) SignPure(message []byte, ctx string) ([]byte, error) { + if len(ctx) > ContextMaxSize { + return nil, fmt.Errorf("ed448: bad context length: " + strconv.Itoa(len(ctx))) + } + + return sign(kp, message, []byte(ctx), false) +} + +// SignPh creates a signature of a message given a keypair. +// This function supports the signature variant defined in RFC-8032: Ed448ph, +// meaning it internally hashes the message using SHAKE-256. +// Context could be passed to this function, which length should be no more than +// 255. It can be empty. +func (kp *KeyPair) SignPh(message []byte, ctx string) ([]byte, error) { + if len(ctx) > ContextMaxSize { + return nil, fmt.Errorf("ed448: bad context length: " + strconv.Itoa(len(ctx))) + } + + return sign(kp, message, []byte(ctx), true) +} + +func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool { + if len(public) != PublicKeySize || + len(signature) != SignatureSize || + len(ctx) > ContextMaxSize || + !isLessThanOrder(signature[paramB:]) { + return false + } + + P, err := goldilocks.FromBytes(public) + if err != nil { + return false + } + + H := sha3.NewShake256() + var d []byte + + if preHash { + var h [64]byte + _, _ = H.Write(message) + _, _ = H.Read(h[:]) + d = h[:] + H.Reset() + } else { + d = message + } + + var hRAM [hashSize]byte + R := signature[:paramB] + + writeDom(&H, ctx, preHash) + + _, _ = H.Write(R) + _, _ = H.Write(public) + _, _ = H.Write(d) + _, _ = H.Read(hRAM[:]) + + k := &goldilocks.Scalar{} + k.FromBytes(hRAM[:]) + S := &goldilocks.Scalar{} + S.FromBytes(signature[paramB:]) + + encR := (&[paramB]byte{})[:] + P.Neg() + _ = goldilocks.Curve{}.CombinedMult(S, k, P).ToBytes(encR) + return bytes.Equal(R, encR) +} + +// Verify returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +func Verify(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { + var ctx string + var preHash bool + + if o, ok := opts.(*Options); ok { + preHash = o.PreHash + ctx = o.Context + } + + if preHash { + return VerifyPh(public, message, signature, ctx) + } + + switch opts.HashFunc() { + case crypto.Hash(0): + return VerifyPure(public, message, signature, ctx) + default: + return false + } +} + +// VerifyPure returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed448, +// also known as the pure version of EdDSA. +func VerifyPure(public PublicKey, message, signature []byte, ctx string) bool { + return verify(public, message, signature, []byte(ctx), false) +} + +// VerifyPh returns true if the signature is valid. Failure cases are invalid +// signature, or when the public key cannot be decoded. +// This function supports the signature variant defined in RFC-8032: Ed448ph, +// meaning it internally hashes the message using SHAKE-256. +// Context could be passed to this function, which length should be no more than +// 255. It can be empty. +func VerifyPh(public PublicKey, message, signature []byte, ctx string) bool { + return verify(public, message, signature, []byte(ctx), true) +} + +func deriveSecretScalar(s *goldilocks.Scalar, h []byte) { + h[0] &= 0xFC // The two least significant bits of the first octet are cleared, + h[paramB-1] = 0x00 // all eight bits the last octet are cleared, and + h[paramB-2] |= 0x80 // the highest bit of the second to last octet is set. + s.FromBytes(h[:paramB]) +} + +// isLessThanOrder returns true if 0 <= x < order and if the last byte of x is zero. +func isLessThanOrder(x []byte) bool { + order := goldilocks.Curve{}.Order() + i := len(order) - 1 + for i > 0 && x[i] == order[i] { + i-- + } + return x[paramB-1] == 0 && x[i] < order[i] +} + +func writeDom(h io.Writer, ctx []byte, preHash bool) { + dom4 := "SigEd448" + _, _ = h.Write([]byte(dom4)) + + if preHash { + _, _ = h.Write([]byte{byte(0x01), byte(len(ctx))}) + } else { + _, _ = h.Write([]byte{byte(0x00), byte(len(ctx))}) + } + _, _ = h.Write(ctx) +} diff --git a/src/circl/sign/ed448/ed448_test.go b/src/circl/sign/ed448/ed448_test.go new file mode 100644 index 00000000000..c81deb462bc --- /dev/null +++ b/src/circl/sign/ed448/ed448_test.go @@ -0,0 +1,375 @@ +package ed448_test + +import ( + "bytes" + "crypto" + "crypto/rand" + "errors" + "fmt" + "testing" + + "circl/internal/test" + "circl/sign/ed448" +) + +func TestWrongPublicKey(t *testing.T) { + wrongPublicKeys := [...][ed448.PublicKeySize]byte{ + { // y = p + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + }, + { // y > p + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + }, + { // x^2 = u/v = (y^2-1)/(dy^2-1) is not a quadratic residue + 0xa4, 0x8b, 0xae, 0x31, 0x1b, 0x3a, 0xe5, 0x62, + 0x3d, 0x6f, 0x2d, 0xbe, 0x8b, 0xb4, 0xd3, 0x21, + 0x0f, 0x04, 0x0a, 0x7e, 0xf2, 0x25, 0x87, 0xc3, + 0xc0, 0x1e, 0xe1, 0xf4, 0x6d, 0xc7, 0x28, 0x8f, + 0x8b, 0xb9, 0x9f, 0x3d, 0x02, 0xb0, 0xc0, 0xa8, + 0xe7, 0xe3, 0x4f, 0xb2, 0x82, 0x64, 0x98, 0x4a, + 0x84, 0x73, 0xd7, 0x57, 0x6a, 0x39, 0x90, 0xa3, + }, + { // y = 1 and x^2 = u/v = 0, and the sign of X is 1 + 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, + }, + { // y = -1 and x^2 = u/v = 0, and the sign of X is 1 + 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x80, + }, + } + sig := (&[ed448.SignatureSize]byte{})[:] + for _, public := range wrongPublicKeys { + got := ed448.VerifyPure(public[:], []byte(""), sig, "") + want := false + if got != want { + test.ReportError(t, got, want, public) + } + } +} + +func TestSignerPure(t *testing.T) { + // ed448 + seed := make(ed448.PrivateKey, ed448.PrivateKeySize) + _, _ = rand.Read(seed) + key := ed448.NewKeyFromSeed(seed) + + priv := key.GetPrivate() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + priv = key.Seed() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + + signer := crypto.Signer(key) + ops := crypto.Hash(0) + msg := make([]byte, 16) + _, _ = rand.Read(msg) + sig, err := signer.Sign(nil, msg, ops) + if err != nil { + got := err + var want error + test.ReportError(t, got, want) + } + if len(sig) != ed448.SignatureSize { + got := len(sig) + want := ed448.SignatureSize + test.ReportError(t, got, want) + } + + pubKey := key.GetPublic() + pubSigner, ok := signer.Public().(ed448.PublicKey) + if !ok { + got := ok + want := true + test.ReportError(t, got, want) + } + if !bytes.Equal(pubKey, pubSigner) { + got := pubSigner + want := pubKey + test.ReportError(t, got, want) + } + + got := ed448.Verify(pubSigner, msg, sig, ops) + want := true + if got != want { + test.ReportError(t, got, want) + } +} + +func TestSignerPh(t *testing.T) { + // ed448Ph + seed := make(ed448.PrivateKey, ed448.PrivateKeySize) + _, _ = rand.Read(seed) + key := ed448.NewKeyFromSeed(seed) + + priv := key.GetPrivate() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + priv = key.Seed() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + + signer := crypto.Signer(key) + ops := &ed448.Options{ + Hash: crypto.Hash(0), + Context: "", + PreHash: true, + } + msg := make([]byte, 16) + _, _ = rand.Read(msg) + sig, err := signer.Sign(nil, msg, ops) + if err != nil { + got := err + var want error + test.ReportError(t, got, want) + } + if len(sig) != ed448.SignatureSize { + got := len(sig) + want := ed448.SignatureSize + test.ReportError(t, got, want) + } + + pubKey := key.GetPublic() + pubSigner, ok := signer.Public().(ed448.PublicKey) + if !ok { + got := ok + want := true + test.ReportError(t, got, want) + } + if !bytes.Equal(pubKey, pubSigner) { + got := pubSigner + want := pubKey + test.ReportError(t, got, want) + } + + got := ed448.Verify(pubSigner, msg, sig, ops) + want := true + if got != want { + test.ReportError(t, got, want) + } +} + +func TestSignerWithCxt(t *testing.T) { + // ed448 with context + seed := make(ed448.PrivateKey, ed448.PrivateKeySize) + _, _ = rand.Read(seed) + key := ed448.NewKeyFromSeed(seed) + + priv := key.GetPrivate() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + priv = key.Seed() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + + signer := crypto.Signer(key) + ops := &ed448.Options{ + Hash: crypto.Hash(0), + Context: "context", + PreHash: false, + } + msg := make([]byte, 16) + _, _ = rand.Read(msg) + sig, err := signer.Sign(nil, msg, ops) + if err != nil { + got := err + var want error + test.ReportError(t, got, want) + } + if len(sig) != ed448.SignatureSize { + got := len(sig) + want := ed448.SignatureSize + test.ReportError(t, got, want) + } + + pubKey := key.GetPublic() + pubSigner, ok := signer.Public().(ed448.PublicKey) + if !ok { + got := ok + want := true + test.ReportError(t, got, want) + } + if !bytes.Equal(pubKey, pubSigner) { + got := pubSigner + want := pubKey + test.ReportError(t, got, want) + } + + got := ed448.Verify(pubSigner, msg, sig, ops) + want := true + if got != want { + test.ReportError(t, got, want) + } +} + +type badReader struct{} + +func (badReader) Read([]byte) (n int, err error) { return 0, errors.New("cannot read") } + +func TestErrors(t *testing.T) { + t.Run("badHash", func(t *testing.T) { + var msg [16]byte + ops := crypto.SHA224 + key, _ := ed448.GenerateKey(nil) + _, got := key.Sign(nil, msg[:], ops) + want := errors.New("ed448: bad hash algorithm") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("badReader", func(t *testing.T) { + _, got := ed448.GenerateKey(badReader{}) + want := errors.New("cannot read") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("wrongSeedSize", func(t *testing.T) { + var seed [256]byte + var want error + got := test.CheckPanic(func() { ed448.NewKeyFromSeed(seed[:]) }) + if got != want { + test.ReportError(t, got, want) + } + }) + t.Run("bigContext", func(t *testing.T) { + var msg [16]byte + var ctx [256]byte + key, _ := ed448.GenerateKey(nil) + _, got := key.SignPure(msg[:], string(ctx[:])) + want := errors.New("ed448: bad context length: 256") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) +} + +func BenchmarkEd448(b *testing.B) { + msg := make([]byte, 128) + ctx := make([]byte, 128) + _, _ = rand.Read(msg) + _, _ = rand.Read(ctx) + + b.Run("keygen", func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _ = ed448.GenerateKey(rand.Reader) + } + }) + b.Run("sign", func(b *testing.B) { + key, _ := ed448.GenerateKey(rand.Reader) + b.ResetTimer() + for i := 0; i < b.N; i++ { + _, _ = key.SignPure(msg, string(ctx)) + } + }) + b.Run("verify", func(b *testing.B) { + key, _ := ed448.GenerateKey(rand.Reader) + sig, _ := key.SignPure(msg, string(ctx)) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed448.VerifyPure(key.GetPublic(), msg, sig, "") + } + }) + b.Run("signPh", func(b *testing.B) { + key, _ := ed448.GenerateKey(rand.Reader) + b.ResetTimer() + for i := 0; i < b.N; i++ { + _, _ = key.SignPh(msg, string(ctx)) + } + }) + b.Run("verifyPh", func(b *testing.B) { + key, _ := ed448.GenerateKey(rand.Reader) + sig, _ := key.SignPh(msg, string(ctx)) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed448.VerifyPh(key.GetPublic(), msg, sig, "") + } + }) +} + +func Example_ed448() { + // import "circl/sign/ed448" + + // Generating Alice's key pair + keys, err := ed448.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + ctx := "This is a context string" + signature, err := keys.SignPure(message, ctx) + if err != nil { + panic("error on signing message") + } + + // Anyone can verify the signature using Alice's public key. + ok := ed448.VerifyPure(keys.GetPublic(), message, signature, ctx) + fmt.Println(ok) + // Output: true +} + +func Example_ed448Ph() { + // import "circl/sign/ed448" + + // Generating Alice's key pair + keys, err := ed448.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + ctx := "This is a context string" + signature, err := keys.SignPh(message, ctx) + if err != nil { + panic("error on signing message") + } + + // Anyone can verify the signature using Alice's public key. + ok := ed448.VerifyPh(keys.GetPublic(), message, signature, ctx) + fmt.Println(ok) + // Output: true +} diff --git a/src/circl/sign/ed448/rfc8032_test.go b/src/circl/sign/ed448/rfc8032_test.go new file mode 100644 index 00000000000..5270f20d0cc --- /dev/null +++ b/src/circl/sign/ed448/rfc8032_test.go @@ -0,0 +1,533 @@ +package ed448_test + +import ( + "bytes" + "testing" + + "circl/internal/test" + "circl/sign/ed448" +) + +type vector struct { + name string + scheme string + sk []byte + pk []byte + sig []byte + msg []byte + msgLen uint + ph bool + ctx []byte + ctxLen uint +} + +var vectorsEd448 = [...]vector{ + { + name: "-----Blank", + scheme: "Ed448Pure", + sk: []byte{ + 0x6c, 0x82, 0xa5, 0x62, 0xcb, 0x80, 0x8d, 0x10, 0xd6, 0x32, 0xbe, 0x89, 0xc8, 0x51, 0x3e, 0xbf, + 0x6c, 0x92, 0x9f, 0x34, 0xdd, 0xfa, 0x8c, 0x9f, 0x63, 0xc9, 0x96, 0x0e, 0xf6, 0xe3, 0x48, 0xa3, + 0x52, 0x8c, 0x8a, 0x3f, 0xcc, 0x2f, 0x04, 0x4e, 0x39, 0xa3, 0xfc, 0x5b, 0x94, 0x49, 0x2f, 0x8f, + 0x03, 0x2e, 0x75, 0x49, 0xa2, 0x00, 0x98, 0xf9, 0x5b, + }, + pk: []byte{ + 0x5f, 0xd7, 0x44, 0x9b, 0x59, 0xb4, 0x61, 0xfd, 0x2c, 0xe7, 0x87, 0xec, 0x61, 0x6a, 0xd4, 0x6a, + 0x1d, 0xa1, 0x34, 0x24, 0x85, 0xa7, 0x0e, 0x1f, 0x8a, 0x0e, 0xa7, 0x5d, 0x80, 0xe9, 0x67, 0x78, + 0xed, 0xf1, 0x24, 0x76, 0x9b, 0x46, 0xc7, 0x06, 0x1b, 0xd6, 0x78, 0x3d, 0xf1, 0xe5, 0x0f, 0x6c, + 0xd1, 0xfa, 0x1a, 0xbe, 0xaf, 0xe8, 0x25, 0x61, 0x80, + }, + msg: []byte{}, + msgLen: 0, + ph: false, + sig: []byte{ + 0x53, 0x3a, 0x37, 0xf6, 0xbb, 0xe4, 0x57, 0x25, 0x1f, 0x02, 0x3c, 0x0d, 0x88, 0xf9, 0x76, 0xae, + 0x2d, 0xfb, 0x50, 0x4a, 0x84, 0x3e, 0x34, 0xd2, 0x07, 0x4f, 0xd8, 0x23, 0xd4, 0x1a, 0x59, 0x1f, + 0x2b, 0x23, 0x3f, 0x03, 0x4f, 0x62, 0x82, 0x81, 0xf2, 0xfd, 0x7a, 0x22, 0xdd, 0xd4, 0x7d, 0x78, + 0x28, 0xc5, 0x9b, 0xd0, 0xa2, 0x1b, 0xfd, 0x39, 0x80, 0xff, 0x0d, 0x20, 0x28, 0xd4, 0xb1, 0x8a, + 0x9d, 0xf6, 0x3e, 0x00, 0x6c, 0x5d, 0x1c, 0x2d, 0x34, 0x5b, 0x92, 0x5d, 0x8d, 0xc0, 0x0b, 0x41, + 0x04, 0x85, 0x2d, 0xb9, 0x9a, 0xc5, 0xc7, 0xcd, 0xda, 0x85, 0x30, 0xa1, 0x13, 0xa0, 0xf4, 0xdb, + 0xb6, 0x11, 0x49, 0xf0, 0x5a, 0x73, 0x63, 0x26, 0x8c, 0x71, 0xd9, 0x58, 0x08, 0xff, 0x2e, 0x65, + 0x26, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----1 octet", + scheme: "Ed448Pure", + sk: []byte{ + 0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4, 0x84, 0x89, 0x92, 0x4d, + 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d, 0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, + 0xfb, 0xea, 0x67, 0xc5, 0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e, + 0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e, + }, + pk: []byte{ + 0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54, 0x5f, 0x7e, 0xcd, 0x0a, + 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37, 0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, + 0x6a, 0xea, 0x01, 0xeb, 0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c, + 0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80, + }, + msg: []byte{ + 0x03, + }, + msgLen: 1, + ph: false, + sig: []byte{ + 0x26, 0xb8, 0xf9, 0x17, 0x27, 0xbd, 0x62, 0x89, 0x7a, 0xf1, 0x5e, 0x41, 0xeb, 0x43, 0xc3, 0x77, + 0xef, 0xb9, 0xc6, 0x10, 0xd4, 0x8f, 0x23, 0x35, 0xcb, 0x0b, 0xd0, 0x08, 0x78, 0x10, 0xf4, 0x35, + 0x25, 0x41, 0xb1, 0x43, 0xc4, 0xb9, 0x81, 0xb7, 0xe1, 0x8f, 0x62, 0xde, 0x8c, 0xcd, 0xf6, 0x33, + 0xfc, 0x1b, 0xf0, 0x37, 0xab, 0x7c, 0xd7, 0x79, 0x80, 0x5e, 0x0d, 0xbc, 0xc0, 0xaa, 0xe1, 0xcb, + 0xce, 0xe1, 0xaf, 0xb2, 0xe0, 0x27, 0xdf, 0x36, 0xbc, 0x04, 0xdc, 0xec, 0xbf, 0x15, 0x43, 0x36, + 0xc1, 0x9f, 0x0a, 0xf7, 0xe0, 0xa6, 0x47, 0x29, 0x05, 0xe7, 0x99, 0xf1, 0x95, 0x3d, 0x2a, 0x0f, + 0xf3, 0x34, 0x8a, 0xb2, 0x1a, 0xa4, 0xad, 0xaf, 0xd1, 0xd2, 0x34, 0x44, 0x1c, 0xf8, 0x07, 0xc0, + 0x3a, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----1 octet (with context)", + scheme: "Ed448Pure", + sk: []byte{ + 0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4, 0x84, 0x89, 0x92, 0x4d, + 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d, 0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, + 0xfb, 0xea, 0x67, 0xc5, 0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e, + 0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e, + }, + pk: []byte{ + 0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54, 0x5f, 0x7e, 0xcd, 0x0a, + 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37, 0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, + 0x6a, 0xea, 0x01, 0xeb, 0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c, + 0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80, + }, + msg: []byte{ + 0x03, + }, + msgLen: 1, + ph: false, + sig: []byte{ + 0xd4, 0xf8, 0xf6, 0x13, 0x17, 0x70, 0xdd, 0x46, 0xf4, 0x08, 0x67, 0xd6, 0xfd, 0x5d, 0x50, 0x55, + 0xde, 0x43, 0x54, 0x1f, 0x8c, 0x5e, 0x35, 0xab, 0xbc, 0xd0, 0x01, 0xb3, 0x2a, 0x89, 0xf7, 0xd2, + 0x15, 0x1f, 0x76, 0x47, 0xf1, 0x1d, 0x8c, 0xa2, 0xae, 0x27, 0x9f, 0xb8, 0x42, 0xd6, 0x07, 0x21, + 0x7f, 0xce, 0x6e, 0x04, 0x2f, 0x68, 0x15, 0xea, 0x00, 0x0c, 0x85, 0x74, 0x1d, 0xe5, 0xc8, 0xda, + 0x11, 0x44, 0xa6, 0xa1, 0xab, 0xa7, 0xf9, 0x6d, 0xe4, 0x25, 0x05, 0xd7, 0xa7, 0x29, 0x85, 0x24, + 0xfd, 0xa5, 0x38, 0xfc, 0xcb, 0xbb, 0x75, 0x4f, 0x57, 0x8c, 0x1c, 0xad, 0x10, 0xd5, 0x4d, 0x0d, + 0x54, 0x28, 0x40, 0x7e, 0x85, 0xdc, 0xbc, 0x98, 0xa4, 0x91, 0x55, 0xc1, 0x37, 0x64, 0xe6, 0x6c, + 0x3c, 0x00, + }, + ctx: []byte{ + 0x66, 0x6f, 0x6f, + }, + ctxLen: 3, + }, + { + name: "-----11 octets", + scheme: "Ed448Pure", + sk: []byte{ + 0xcd, 0x23, 0xd2, 0x4f, 0x71, 0x42, 0x74, 0xe7, 0x44, 0x34, 0x32, 0x37, 0xb9, 0x32, 0x90, 0xf5, + 0x11, 0xf6, 0x42, 0x5f, 0x98, 0xe6, 0x44, 0x59, 0xff, 0x20, 0x3e, 0x89, 0x85, 0x08, 0x3f, 0xfd, + 0xf6, 0x05, 0x00, 0x55, 0x3a, 0xbc, 0x0e, 0x05, 0xcd, 0x02, 0x18, 0x4b, 0xdb, 0x89, 0xc4, 0xcc, + 0xd6, 0x7e, 0x18, 0x79, 0x51, 0x26, 0x7e, 0xb3, 0x28, + }, + pk: []byte{ + 0xdc, 0xea, 0x9e, 0x78, 0xf3, 0x5a, 0x1b, 0xf3, 0x49, 0x9a, 0x83, 0x1b, 0x10, 0xb8, 0x6c, 0x90, + 0xaa, 0xc0, 0x1c, 0xd8, 0x4b, 0x67, 0xa0, 0x10, 0x9b, 0x55, 0xa3, 0x6e, 0x93, 0x28, 0xb1, 0xe3, + 0x65, 0xfc, 0xe1, 0x61, 0xd7, 0x1c, 0xe7, 0x13, 0x1a, 0x54, 0x3e, 0xa4, 0xcb, 0x5f, 0x7e, 0x9f, + 0x1d, 0x8b, 0x00, 0x69, 0x64, 0x47, 0x00, 0x14, 0x00, + }, + msg: []byte{ + 0x0c, 0x3e, 0x54, 0x40, 0x74, 0xec, 0x63, 0xb0, 0x26, 0x5e, 0x0c, + }, + msgLen: 11, + ph: false, + sig: []byte{ + 0x1f, 0x0a, 0x88, 0x88, 0xce, 0x25, 0xe8, 0xd4, 0x58, 0xa2, 0x11, 0x30, 0x87, 0x9b, 0x84, 0x0a, + 0x90, 0x89, 0xd9, 0x99, 0xaa, 0xba, 0x03, 0x9e, 0xaf, 0x3e, 0x3a, 0xfa, 0x09, 0x0a, 0x09, 0xd3, + 0x89, 0xdb, 0xa8, 0x2c, 0x4f, 0xf2, 0xae, 0x8a, 0xc5, 0xcd, 0xfb, 0x7c, 0x55, 0xe9, 0x4d, 0x5d, + 0x96, 0x1a, 0x29, 0xfe, 0x01, 0x09, 0x94, 0x1e, 0x00, 0xb8, 0xdb, 0xde, 0xea, 0x6d, 0x3b, 0x05, + 0x10, 0x68, 0xdf, 0x72, 0x54, 0xc0, 0xcd, 0xc1, 0x29, 0xcb, 0xe6, 0x2d, 0xb2, 0xdc, 0x95, 0x7d, + 0xbb, 0x47, 0xb5, 0x1f, 0xd3, 0xf2, 0x13, 0xfb, 0x86, 0x98, 0xf0, 0x64, 0x77, 0x42, 0x50, 0xa5, + 0x02, 0x89, 0x61, 0xc9, 0xbf, 0x8f, 0xfd, 0x97, 0x3f, 0xe5, 0xd5, 0xc2, 0x06, 0x49, 0x2b, 0x14, + 0x0e, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----12 octets", + scheme: "Ed448Pure", + sk: []byte{ + 0x25, 0x8c, 0xdd, 0x4a, 0xda, 0x32, 0xed, 0x9c, 0x9f, 0xf5, 0x4e, 0x63, 0x75, 0x6a, 0xe5, 0x82, + 0xfb, 0x8f, 0xab, 0x2a, 0xc7, 0x21, 0xf2, 0xc8, 0xe6, 0x76, 0xa7, 0x27, 0x68, 0x51, 0x3d, 0x93, + 0x9f, 0x63, 0xdd, 0xdb, 0x55, 0x60, 0x91, 0x33, 0xf2, 0x9a, 0xdf, 0x86, 0xec, 0x99, 0x29, 0xdc, + 0xcb, 0x52, 0xc1, 0xc5, 0xfd, 0x2f, 0xf7, 0xe2, 0x1b, + }, + pk: []byte{ + 0x3b, 0xa1, 0x6d, 0xa0, 0xc6, 0xf2, 0xcc, 0x1f, 0x30, 0x18, 0x77, 0x40, 0x75, 0x6f, 0x5e, 0x79, + 0x8d, 0x6b, 0xc5, 0xfc, 0x01, 0x5d, 0x7c, 0x63, 0xcc, 0x95, 0x10, 0xee, 0x3f, 0xd4, 0x4a, 0xdc, + 0x24, 0xd8, 0xe9, 0x68, 0xb6, 0xe4, 0x6e, 0x6f, 0x94, 0xd1, 0x9b, 0x94, 0x53, 0x61, 0x72, 0x6b, + 0xd7, 0x5e, 0x14, 0x9e, 0xf0, 0x98, 0x17, 0xf5, 0x80, + }, + msg: []byte{ + 0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15, + }, + msgLen: 12, + ph: false, + sig: []byte{ + 0x7e, 0xee, 0xab, 0x7c, 0x4e, 0x50, 0xfb, 0x79, 0x9b, 0x41, 0x8e, 0xe5, 0xe3, 0x19, 0x7f, 0xf6, + 0xbf, 0x15, 0xd4, 0x3a, 0x14, 0xc3, 0x43, 0x89, 0xb5, 0x9d, 0xd1, 0xa7, 0xb1, 0xb8, 0x5b, 0x4a, + 0xe9, 0x04, 0x38, 0xac, 0xa6, 0x34, 0xbe, 0xa4, 0x5e, 0x3a, 0x26, 0x95, 0xf1, 0x27, 0x0f, 0x07, + 0xfd, 0xcd, 0xf7, 0xc6, 0x2b, 0x8e, 0xfe, 0xaf, 0x00, 0xb4, 0x5c, 0x2c, 0x96, 0xba, 0x45, 0x7e, + 0xb1, 0xa8, 0xbf, 0x07, 0x5a, 0x3d, 0xb2, 0x8e, 0x5c, 0x24, 0xf6, 0xb9, 0x23, 0xed, 0x4a, 0xd7, + 0x47, 0xc3, 0xc9, 0xe0, 0x3c, 0x70, 0x79, 0xef, 0xb8, 0x7c, 0xb1, 0x10, 0xd3, 0xa9, 0x98, 0x61, + 0xe7, 0x20, 0x03, 0xcb, 0xae, 0x6d, 0x6b, 0x8b, 0x82, 0x7e, 0x4e, 0x6c, 0x14, 0x30, 0x64, 0xff, + 0x3c, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----13 octets", + scheme: "Ed448Pure", + sk: []byte{ + 0x7e, 0xf4, 0xe8, 0x45, 0x44, 0x23, 0x67, 0x52, 0xfb, 0xb5, 0x6b, 0x8f, 0x31, 0xa2, 0x3a, 0x10, + 0xe4, 0x28, 0x14, 0xf5, 0xf5, 0x5c, 0xa0, 0x37, 0xcd, 0xcc, 0x11, 0xc6, 0x4c, 0x9a, 0x3b, 0x29, + 0x49, 0xc1, 0xbb, 0x60, 0x70, 0x03, 0x14, 0x61, 0x17, 0x32, 0xa6, 0xc2, 0xfe, 0xa9, 0x8e, 0xeb, + 0xc0, 0x26, 0x6a, 0x11, 0xa9, 0x39, 0x70, 0x10, 0x0e, + }, + pk: []byte{ + 0xb3, 0xda, 0x07, 0x9b, 0x0a, 0xa4, 0x93, 0xa5, 0x77, 0x20, 0x29, 0xf0, 0x46, 0x7b, 0xae, 0xbe, + 0xe5, 0xa8, 0x11, 0x2d, 0x9d, 0x3a, 0x22, 0x53, 0x23, 0x61, 0xda, 0x29, 0x4f, 0x7b, 0xb3, 0x81, + 0x5c, 0x5d, 0xc5, 0x9e, 0x17, 0x6b, 0x4d, 0x9f, 0x38, 0x1c, 0xa0, 0x93, 0x8e, 0x13, 0xc6, 0xc0, + 0x7b, 0x17, 0x4b, 0xe6, 0x5d, 0xfa, 0x57, 0x8e, 0x80, + }, + msg: []byte{ + 0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15, 0xe7, + }, + msgLen: 13, + ph: false, + sig: []byte{ + 0x6a, 0x12, 0x06, 0x6f, 0x55, 0x33, 0x1b, 0x6c, 0x22, 0xac, 0xd5, 0xd5, 0xbf, 0xc5, 0xd7, 0x12, + 0x28, 0xfb, 0xda, 0x80, 0xae, 0x8d, 0xec, 0x26, 0xbd, 0xd3, 0x06, 0x74, 0x3c, 0x50, 0x27, 0xcb, + 0x48, 0x90, 0x81, 0x0c, 0x16, 0x2c, 0x02, 0x74, 0x68, 0x67, 0x5e, 0xcf, 0x64, 0x5a, 0x83, 0x17, + 0x6c, 0x0d, 0x73, 0x23, 0xa2, 0xcc, 0xde, 0x2d, 0x80, 0xef, 0xe5, 0xa1, 0x26, 0x8e, 0x8a, 0xca, + 0x1d, 0x6f, 0xbc, 0x19, 0x4d, 0x3f, 0x77, 0xc4, 0x49, 0x86, 0xeb, 0x4a, 0xb4, 0x17, 0x79, 0x19, + 0xad, 0x8b, 0xec, 0x33, 0xeb, 0x47, 0xbb, 0xb5, 0xfc, 0x6e, 0x28, 0x19, 0x6f, 0xd1, 0xca, 0xf5, + 0x6b, 0x4e, 0x7e, 0x0b, 0xa5, 0x51, 0x92, 0x34, 0xd0, 0x47, 0x15, 0x5a, 0xc7, 0x27, 0xa1, 0x05, + 0x31, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----64 octets", + scheme: "Ed448Pure", + sk: []byte{ + 0xd6, 0x5d, 0xf3, 0x41, 0xad, 0x13, 0xe0, 0x08, 0x56, 0x76, 0x88, 0xba, 0xed, 0xda, 0x8e, 0x9d, + 0xcd, 0xc1, 0x7d, 0xc0, 0x24, 0x97, 0x4e, 0xa5, 0xb4, 0x22, 0x7b, 0x65, 0x30, 0xe3, 0x39, 0xbf, + 0xf2, 0x1f, 0x99, 0xe6, 0x8c, 0xa6, 0x96, 0x8f, 0x3c, 0xca, 0x6d, 0xfe, 0x0f, 0xb9, 0xf4, 0xfa, + 0xb4, 0xfa, 0x13, 0x5d, 0x55, 0x42, 0xea, 0x3f, 0x01, + }, + pk: []byte{ + 0xdf, 0x97, 0x05, 0xf5, 0x8e, 0xdb, 0xab, 0x80, 0x2c, 0x7f, 0x83, 0x63, 0xcf, 0xe5, 0x56, 0x0a, + 0xb1, 0xc6, 0x13, 0x2c, 0x20, 0xa9, 0xf1, 0xdd, 0x16, 0x34, 0x83, 0xa2, 0x6f, 0x8a, 0xc5, 0x3a, + 0x39, 0xd6, 0x80, 0x8b, 0xf4, 0xa1, 0xdf, 0xbd, 0x26, 0x1b, 0x09, 0x9b, 0xb0, 0x3b, 0x3f, 0xb5, + 0x09, 0x06, 0xcb, 0x28, 0xbd, 0x8a, 0x08, 0x1f, 0x00, + }, + msg: []byte{ + 0xbd, 0x0f, 0x6a, 0x37, 0x47, 0xcd, 0x56, 0x1b, 0xdd, 0xdf, 0x46, 0x40, 0xa3, 0x32, 0x46, 0x1a, + 0x4a, 0x30, 0xa1, 0x2a, 0x43, 0x4c, 0xd0, 0xbf, 0x40, 0xd7, 0x66, 0xd9, 0xc6, 0xd4, 0x58, 0xe5, + 0x51, 0x22, 0x04, 0xa3, 0x0c, 0x17, 0xd1, 0xf5, 0x0b, 0x50, 0x79, 0x63, 0x1f, 0x64, 0xeb, 0x31, + 0x12, 0x18, 0x2d, 0xa3, 0x00, 0x58, 0x35, 0x46, 0x11, 0x13, 0x71, 0x8d, 0x1a, 0x5e, 0xf9, 0x44, + }, + msgLen: 64, + ph: false, + sig: []byte{ + 0x55, 0x4b, 0xc2, 0x48, 0x08, 0x60, 0xb4, 0x9e, 0xab, 0x85, 0x32, 0xd2, 0xa5, 0x33, 0xb7, 0xd5, + 0x78, 0xef, 0x47, 0x3e, 0xeb, 0x58, 0xc9, 0x8b, 0xb2, 0xd0, 0xe1, 0xce, 0x48, 0x8a, 0x98, 0xb1, + 0x8d, 0xfd, 0xe9, 0xb9, 0xb9, 0x07, 0x75, 0xe6, 0x7f, 0x47, 0xd4, 0xa1, 0xc3, 0x48, 0x20, 0x58, + 0xef, 0xc9, 0xf4, 0x0d, 0x2c, 0xa0, 0x33, 0xa0, 0x80, 0x1b, 0x63, 0xd4, 0x5b, 0x3b, 0x72, 0x2e, + 0xf5, 0x52, 0xba, 0xd3, 0xb4, 0xcc, 0xb6, 0x67, 0xda, 0x35, 0x01, 0x92, 0xb6, 0x1c, 0x50, 0x8c, + 0xf7, 0xb6, 0xb5, 0xad, 0xad, 0xc2, 0xc8, 0xd9, 0xa4, 0x46, 0xef, 0x00, 0x3f, 0xb0, 0x5c, 0xba, + 0x5f, 0x30, 0xe8, 0x8e, 0x36, 0xec, 0x27, 0x03, 0xb3, 0x49, 0xca, 0x22, 0x9c, 0x26, 0x70, 0x83, + 0x39, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----256 octets", + scheme: "Ed448Pure", + sk: []byte{ + 0x2e, 0xc5, 0xfe, 0x3c, 0x17, 0x04, 0x5a, 0xbd, 0xb1, 0x36, 0xa5, 0xe6, 0xa9, 0x13, 0xe3, 0x2a, + 0xb7, 0x5a, 0xe6, 0x8b, 0x53, 0xd2, 0xfc, 0x14, 0x9b, 0x77, 0xe5, 0x04, 0x13, 0x2d, 0x37, 0x56, + 0x9b, 0x7e, 0x76, 0x6b, 0xa7, 0x4a, 0x19, 0xbd, 0x61, 0x62, 0x34, 0x3a, 0x21, 0xc8, 0x59, 0x0a, + 0xa9, 0xce, 0xbc, 0xa9, 0x01, 0x4c, 0x63, 0x6d, 0xf5, + }, + pk: []byte{ + 0x79, 0x75, 0x6f, 0x01, 0x4d, 0xcf, 0xe2, 0x07, 0x9f, 0x5d, 0xd9, 0xe7, 0x18, 0xbe, 0x41, 0x71, + 0xe2, 0xef, 0x24, 0x86, 0xa0, 0x8f, 0x25, 0x18, 0x6f, 0x6b, 0xff, 0x43, 0xa9, 0x93, 0x6b, 0x9b, + 0xfe, 0x12, 0x40, 0x2b, 0x08, 0xae, 0x65, 0x79, 0x8a, 0x3d, 0x81, 0xe2, 0x2e, 0x9e, 0xc8, 0x0e, + 0x76, 0x90, 0x86, 0x2e, 0xf3, 0xd4, 0xed, 0x3a, 0x00, + }, + msg: []byte{ + 0x15, 0x77, 0x75, 0x32, 0xb0, 0xbd, 0xd0, 0xd1, 0x38, 0x9f, 0x63, 0x6c, 0x5f, 0x6b, 0x9b, 0xa7, + 0x34, 0xc9, 0x0a, 0xf5, 0x72, 0x87, 0x7e, 0x2d, 0x27, 0x2d, 0xd0, 0x78, 0xaa, 0x1e, 0x56, 0x7c, + 0xfa, 0x80, 0xe1, 0x29, 0x28, 0xbb, 0x54, 0x23, 0x30, 0xe8, 0x40, 0x9f, 0x31, 0x74, 0x50, 0x41, + 0x07, 0xec, 0xd5, 0xef, 0xac, 0x61, 0xae, 0x75, 0x04, 0xda, 0xbe, 0x2a, 0x60, 0x2e, 0xde, 0x89, + 0xe5, 0xcc, 0xa6, 0x25, 0x7a, 0x7c, 0x77, 0xe2, 0x7a, 0x70, 0x2b, 0x3a, 0xe3, 0x9f, 0xc7, 0x69, + 0xfc, 0x54, 0xf2, 0x39, 0x5a, 0xe6, 0xa1, 0x17, 0x8c, 0xab, 0x47, 0x38, 0xe5, 0x43, 0x07, 0x2f, + 0xc1, 0xc1, 0x77, 0xfe, 0x71, 0xe9, 0x2e, 0x25, 0xbf, 0x03, 0xe4, 0xec, 0xb7, 0x2f, 0x47, 0xb6, + 0x4d, 0x04, 0x65, 0xaa, 0xea, 0x4c, 0x7f, 0xad, 0x37, 0x25, 0x36, 0xc8, 0xba, 0x51, 0x6a, 0x60, + 0x39, 0xc3, 0xc2, 0xa3, 0x9f, 0x0e, 0x4d, 0x83, 0x2b, 0xe4, 0x32, 0xdf, 0xa9, 0xa7, 0x06, 0xa6, + 0xe5, 0xc7, 0xe1, 0x9f, 0x39, 0x79, 0x64, 0xca, 0x42, 0x58, 0x00, 0x2f, 0x7c, 0x05, 0x41, 0xb5, + 0x90, 0x31, 0x6d, 0xbc, 0x56, 0x22, 0xb6, 0xb2, 0xa6, 0xfe, 0x7a, 0x4a, 0xbf, 0xfd, 0x96, 0x10, + 0x5e, 0xca, 0x76, 0xea, 0x7b, 0x98, 0x81, 0x6a, 0xf0, 0x74, 0x8c, 0x10, 0xdf, 0x04, 0x8c, 0xe0, + 0x12, 0xd9, 0x01, 0x01, 0x5a, 0x51, 0xf1, 0x89, 0xf3, 0x88, 0x81, 0x45, 0xc0, 0x36, 0x50, 0xaa, + 0x23, 0xce, 0x89, 0x4c, 0x3b, 0xd8, 0x89, 0xe0, 0x30, 0xd5, 0x65, 0x07, 0x1c, 0x59, 0xf4, 0x09, + 0xa9, 0x98, 0x1b, 0x51, 0x87, 0x8f, 0xd6, 0xfc, 0x11, 0x06, 0x24, 0xdc, 0xbc, 0xde, 0x0b, 0xf7, + 0xa6, 0x9c, 0xcc, 0xe3, 0x8f, 0xab, 0xdf, 0x86, 0xf3, 0xbe, 0xf6, 0x04, 0x48, 0x19, 0xde, 0x11, + }, + msgLen: 256, + ph: false, + sig: []byte{ + 0xc6, 0x50, 0xdd, 0xbb, 0x06, 0x01, 0xc1, 0x9c, 0xa1, 0x14, 0x39, 0xe1, 0x64, 0x0d, 0xd9, 0x31, + 0xf4, 0x3c, 0x51, 0x8e, 0xa5, 0xbe, 0xa7, 0x0d, 0x3d, 0xcd, 0xe5, 0xf4, 0x19, 0x1f, 0xe5, 0x3f, + 0x00, 0xcf, 0x96, 0x65, 0x46, 0xb7, 0x2b, 0xcc, 0x7d, 0x58, 0xbe, 0x2b, 0x9b, 0xad, 0xef, 0x28, + 0x74, 0x39, 0x54, 0xe3, 0xa4, 0x4a, 0x23, 0xf8, 0x80, 0xe8, 0xd4, 0xf1, 0xcf, 0xce, 0x2d, 0x7a, + 0x61, 0x45, 0x2d, 0x26, 0xda, 0x05, 0x89, 0x6f, 0x0a, 0x50, 0xda, 0x66, 0xa2, 0x39, 0xa8, 0xa1, + 0x88, 0xb6, 0xd8, 0x25, 0xb3, 0x30, 0x5a, 0xd7, 0x7b, 0x73, 0xfb, 0xac, 0x08, 0x36, 0xec, 0xc6, + 0x09, 0x87, 0xfd, 0x08, 0x52, 0x7c, 0x1a, 0x8e, 0x80, 0xd5, 0x82, 0x3e, 0x65, 0xca, 0xfe, 0x2a, + 0x3d, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----1023 octets", + scheme: "Ed448Pure", + sk: []byte{ + 0x87, 0x2d, 0x09, 0x37, 0x80, 0xf5, 0xd3, 0x73, 0x0d, 0xf7, 0xc2, 0x12, 0x66, 0x4b, 0x37, 0xb8, + 0xa0, 0xf2, 0x4f, 0x56, 0x81, 0x0d, 0xaa, 0x83, 0x82, 0xcd, 0x4f, 0xa3, 0xf7, 0x76, 0x34, 0xec, + 0x44, 0xdc, 0x54, 0xf1, 0xc2, 0xed, 0x9b, 0xea, 0x86, 0xfa, 0xfb, 0x76, 0x32, 0xd8, 0xbe, 0x19, + 0x9e, 0xa1, 0x65, 0xf5, 0xad, 0x55, 0xdd, 0x9c, 0xe8, + }, + pk: []byte{ + 0xa8, 0x1b, 0x2e, 0x8a, 0x70, 0xa5, 0xac, 0x94, 0xff, 0xdb, 0xcc, 0x9b, 0xad, 0xfc, 0x3f, 0xeb, + 0x08, 0x01, 0xf2, 0x58, 0x57, 0x8b, 0xb1, 0x14, 0xad, 0x44, 0xec, 0xe1, 0xec, 0x0e, 0x79, 0x9d, + 0xa0, 0x8e, 0xff, 0xb8, 0x1c, 0x5d, 0x68, 0x5c, 0x0c, 0x56, 0xf6, 0x4e, 0xec, 0xae, 0xf8, 0xcd, + 0xf1, 0x1c, 0xc3, 0x87, 0x37, 0x83, 0x8c, 0xf4, 0x00, + }, + msg: []byte{ + 0x6d, 0xdf, 0x80, 0x2e, 0x1a, 0xae, 0x49, 0x86, 0x93, 0x5f, 0x7f, 0x98, 0x1b, 0xa3, 0xf0, 0x35, + 0x1d, 0x62, 0x73, 0xc0, 0xa0, 0xc2, 0x2c, 0x9c, 0x0e, 0x83, 0x39, 0x16, 0x8e, 0x67, 0x54, 0x12, + 0xa3, 0xde, 0xbf, 0xaf, 0x43, 0x5e, 0xd6, 0x51, 0x55, 0x80, 0x07, 0xdb, 0x43, 0x84, 0xb6, 0x50, + 0xfc, 0xc0, 0x7e, 0x3b, 0x58, 0x6a, 0x27, 0xa4, 0xf7, 0xa0, 0x0a, 0xc8, 0xa6, 0xfe, 0xc2, 0xcd, + 0x86, 0xae, 0x4b, 0xf1, 0x57, 0x0c, 0x41, 0xe6, 0xa4, 0x0c, 0x93, 0x1d, 0xb2, 0x7b, 0x2f, 0xaa, + 0x15, 0xa8, 0xce, 0xdd, 0x52, 0xcf, 0xf7, 0x36, 0x2c, 0x4e, 0x6e, 0x23, 0xda, 0xec, 0x0f, 0xbc, + 0x3a, 0x79, 0xb6, 0x80, 0x6e, 0x31, 0x6e, 0xfc, 0xc7, 0xb6, 0x81, 0x19, 0xbf, 0x46, 0xbc, 0x76, + 0xa2, 0x60, 0x67, 0xa5, 0x3f, 0x29, 0x6d, 0xaf, 0xdb, 0xdc, 0x11, 0xc7, 0x7f, 0x77, 0x77, 0xe9, + 0x72, 0x66, 0x0c, 0xf4, 0xb6, 0xa9, 0xb3, 0x69, 0xa6, 0x66, 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0xd7, 0x7b, 0x73, 0xd2, 0xd8, 0x41, 0xc4, + 0xb3, 0x49, 0x73, 0x55, 0x12, 0x57, 0x71, 0x3b, 0x75, 0x36, 0x32, 0xef, 0xba, 0x34, 0x81, 0x69, + 0xab, 0xc9, 0x0a, 0x68, 0xf4, 0x26, 0x11, 0xa4, 0x01, 0x26, 0xd7, 0xcb, 0x21, 0xb5, 0x86, 0x95, + 0x56, 0x81, 0x86, 0xf7, 0xe5, 0x69, 0xd2, 0xff, 0x0f, 0x9e, 0x74, 0x5d, 0x04, 0x87, 0xdd, 0x2e, + 0xb9, 0x97, 0xca, 0xfc, 0x5a, 0xbf, 0x9d, 0xd1, 0x02, 0xe6, 0x2f, 0xf6, 0x6c, 0xba, 0x87, + }, + msgLen: 1023, + ph: false, + sig: []byte{ + 0xe3, 0x01, 0x34, 0x5a, 0x41, 0xa3, 0x9a, 0x4d, 0x72, 0xff, 0xf8, 0xdf, 0x69, 0xc9, 0x80, 0x75, + 0xa0, 0xcc, 0x08, 0x2b, 0x80, 0x2f, 0xc9, 0xb2, 0xb6, 0xbc, 0x50, 0x3f, 0x92, 0x6b, 0x65, 0xbd, + 0xdf, 0x7f, 0x4c, 0x8f, 0x1c, 0xb4, 0x9f, 0x63, 0x96, 0xaf, 0xc8, 0xa7, 0x0a, 0xbe, 0x6d, 0x8a, + 0xef, 0x0d, 0xb4, 0x78, 0xd4, 0xc6, 0xb2, 0x97, 0x00, 0x76, 0xc6, 0xa0, 0x48, 0x4f, 0xe7, 0x6d, + 0x76, 0xb3, 0xa9, 0x76, 0x25, 0xd7, 0x9f, 0x1c, 0xe2, 0x40, 0xe7, 0xc5, 0x76, 0x75, 0x0d, 0x29, + 0x55, 0x28, 0x28, 0x6f, 0x71, 0x9b, 0x41, 0x3d, 0xe9, 0xad, 0xa3, 0xe8, 0xeb, 0x78, 0xed, 0x57, + 0x36, 0x03, 0xce, 0x30, 0xd8, 0xbb, 0x76, 0x17, 0x85, 0xdc, 0x30, 0xdb, 0xc3, 0x20, 0x86, 0x9e, + 0x1a, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----TEST abc", + scheme: "Ed448Ph", + sk: []byte{ + 0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58, 0x75, 0x20, 0x91, 0x1e, + 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b, 0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, + 0xef, 0x78, 0x22, 0xe0, 0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3, + 0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49, + }, + pk: []byte{ + 0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65, 0x24, 0xcb, 0xdb, 0x31, + 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde, 0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, + 0xc0, 0x94, 0x28, 0xa1, 0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76, + 0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80, + }, + msg: []byte{ + 0x61, 0x62, 0x63, + }, + msgLen: 3, + ph: true, + sig: []byte{ + 0x82, 0x2f, 0x69, 0x01, 0xf7, 0x48, 0x0f, 0x3d, 0x5f, 0x56, 0x2c, 0x59, 0x29, 0x94, 0xd9, 0x69, + 0x36, 0x02, 0x87, 0x56, 0x14, 0x48, 0x32, 0x56, 0x50, 0x56, 0x00, 0xbb, 0xc2, 0x81, 0xae, 0x38, + 0x1f, 0x54, 0xd6, 0xbc, 0xe2, 0xea, 0x91, 0x15, 0x74, 0x93, 0x2f, 0x52, 0xa4, 0xe6, 0xca, 0xdd, + 0x78, 0x76, 0x93, 0x75, 0xec, 0x3f, 0xfd, 0x1b, 0x80, 0x1a, 0x0d, 0x9b, 0x3f, 0x40, 0x30, 0xcd, + 0x43, 0x39, 0x64, 0xb6, 0x45, 0x7e, 0xa3, 0x94, 0x76, 0x51, 0x12, 0x14, 0xf9, 0x74, 0x69, 0xb5, + 0x7d, 0xd3, 0x2d, 0xbc, 0x56, 0x0a, 0x9a, 0x94, 0xd0, 0x0b, 0xff, 0x07, 0x62, 0x04, 0x64, 0xa3, + 0xad, 0x20, 0x3d, 0xf7, 0xdc, 0x7c, 0xe3, 0x60, 0xc3, 0xcd, 0x36, 0x96, 0xd9, 0xd9, 0xfa, 0xb9, + 0x0f, 0x00, + }, + ctx: []byte{}, + ctxLen: 0, + }, + { + name: "-----TEST abc (with context)", + scheme: "Ed448Ph", + sk: []byte{ + 0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58, 0x75, 0x20, 0x91, 0x1e, + 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b, 0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, + 0xef, 0x78, 0x22, 0xe0, 0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3, + 0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49, + }, + pk: []byte{ + 0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65, 0x24, 0xcb, 0xdb, 0x31, + 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde, 0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, + 0xc0, 0x94, 0x28, 0xa1, 0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76, + 0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80, + }, + msg: []byte{ + 0x61, 0x62, 0x63, + }, + msgLen: 3, + ph: true, + sig: []byte{ + 0xc3, 0x22, 0x99, 0xd4, 0x6e, 0xc8, 0xff, 0x02, 0xb5, 0x45, 0x40, 0x98, 0x28, 0x14, 0xdc, 0xe9, + 0xa0, 0x58, 0x12, 0xf8, 0x19, 0x62, 0xb6, 0x49, 0xd5, 0x28, 0x09, 0x59, 0x16, 0xa2, 0xaa, 0x48, + 0x10, 0x65, 0xb1, 0x58, 0x04, 0x23, 0xef, 0x92, 0x7e, 0xcf, 0x0a, 0xf5, 0x88, 0x8f, 0x90, 0xda, + 0x0f, 0x6a, 0x9a, 0x85, 0xad, 0x5d, 0xc3, 0xf2, 0x80, 0xd9, 0x12, 0x24, 0xba, 0x99, 0x11, 0xa3, + 0x65, 0x3d, 0x00, 0xe4, 0x84, 0xe2, 0xce, 0x23, 0x25, 0x21, 0x48, 0x1c, 0x86, 0x58, 0xdf, 0x30, + 0x4b, 0xb7, 0x74, 0x5a, 0x73, 0x51, 0x4c, 0xdb, 0x9b, 0xf3, 0xe1, 0x57, 0x84, 0xab, 0x71, 0x28, + 0x4f, 0x8d, 0x07, 0x04, 0xa6, 0x08, 0xc5, 0x4a, 0x6b, 0x62, 0xd9, 0x7b, 0xeb, 0x51, 0x1d, 0x13, + 0x21, 0x00, + }, + ctx: []byte{ + 0x66, 0x6f, 0x6f, + }, + ctxLen: 3, + }, +} + +func (v vector) isPure() bool { return v.scheme == "Ed448Pure" } +func (v vector) isPreHashed() bool { return v.scheme == "Ed448Ph" } +func (v vector) matchMsgLen() bool { return uint(len(v.msg)) == v.msgLen } +func (v vector) matchCtxLen() bool { return uint(len(v.ctx)) == v.ctxLen } + +func (v vector) testPublicKey(t *testing.T) { + keys := ed448.NewKeyFromSeed(v.sk) + got := keys.GetPublic() + want := v.pk + + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, v.name) + } +} + +func (v vector) testSign(t *testing.T) { + private := ed448.NewKeyFromSeed(v.sk) + + var got []byte + var err error + + if v.ph { + got, err = private.SignPh(v.msg, string(v.ctx)) + } else { + got, err = private.SignPure(v.msg, string(v.ctx)) + } + + want := v.sig + if !bytes.Equal(got, want) || err != nil { + test.ReportError(t, got, want, v.name) + } +} + +func (v vector) testVerify(t *testing.T) { + var got bool + + if v.ph { + got = ed448.VerifyPh(v.pk, v.msg, v.sig, string(v.ctx)) + } else { + got = ed448.VerifyPure(v.pk, v.msg, v.sig, string(v.ctx)) + } + + want := true + + if got != want { + test.ReportError(t, got, want, v.name) + } +} + +func TestEd448(t *testing.T) { + for _, v := range vectorsEd448 { + got := (v.isPure() || v.isPreHashed()) && v.matchMsgLen() && v.matchCtxLen() + want := true + if got != want { + test.ReportError(t, got, want, v.sk) + } + v.testPublicKey(t) + v.testSign(t) + v.testVerify(t) + } +} diff --git a/src/circl/sign/ed448/testdata/wycheproof_Ed448.json b/src/circl/sign/ed448/testdata/wycheproof_Ed448.json new file mode 100644 index 00000000000..6d791044351 --- /dev/null +++ b/src/circl/sign/ed448/testdata/wycheproof_Ed448.json @@ -0,0 +1,908 @@ +{ + "algorithm" : "EDDSA", + "generatorVersion" : "0.8r12", + "numberOfTests" : 86, + "header" : [ + "Test vectors of type EddsaVerify are intended for testing", + "the verification of Eddsa signatures." + ], + "notes" : { + "SignatureMalleability" : "EdDSA signatures are non-malleable, if implemented accordingly. Failing to check the range of S allows to modify signatures. See RFC 8032, Section 5.2.7 and Section 8.4." + }, + "schema" : "eddsa_verify_schema.json", + "testGroups" : [ + { + "jwk" : { + "crv" : "Ed448", + "d" : "iDAeB2UY01N_kwLuD1Ij5LY-HwFgB9PC69_sX3CZfoEZxrrQrnuAP0h5HKjsVJqiobhi96UVkLnV", + "kid" : "none", + "kty" : "OKP", + "x" : "QZYQpTSvEn9YOwSBjNt_D_MAsCXy4BaCvK4z_Wkc7gOVEd8M3caQ7peEJuizjlDOWvfc-6UPcEwA" + }, + "key" : { + "curve" : "edwards448", + "keySize" : 448, + "pk" : "419610a534af127f583b04818cdb7f0ff300b025f2e01682bcae33fd691cee039511df0cddc690ee978426e8b38e50ce5af7dcfba50f704c00", + "sk" : "88301e076518d3537f9302ee0f5223e4b63e1f016007d3c2ebdfec5f70997e8119c6bad0ae7b803f48791ca8ec549aa2a1b862f7a51590b9d5", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a00419610a534af127f583b04818cdb7f0ff300b025f2e01682bcae33fd691cee039511df0cddc690ee978426e8b38e50ce5af7dcfba50f704c00", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAQZYQpTSvEn9YOwSBjNt/D/MAsCXy4BaCvK4z/Wkc7gOVEd8M3caQ7peEJuizjlDOWvfc+6UPcEwA\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 1, + "comment" : "", + "msg" : "", + "sig" : "cf7953007666e12f73af9ec92e3e018da5ee5a8d5b17f5100a354c58f1d5f4bb37ab835c52f72374c72d612689149cf6d36a70db6dc5a6c400b597348e0e31e51e65bb144e63c892a367b4c055c036aa6cd7e728cdd2a098963bda863903e6dd025b5a5d891209f4e28537694804e50b0800", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 2, + "comment" : "", + "msg" : "78", + "sig" : "c56e94d5c9ca860c244f33db556bf6b3cec38b024b77604a35d6a07211b1316b9a027133c374b86f72665cc45ce01583a2e0f2775c6172da801acef168717cab1196cddfb149359dfef589756257cc2d6b02fc516d8d41b4adaa3f11428f41410ef0dc3c1b008d3d052173d4389508ed0100", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 3, + "comment" : "", + "msg" : "54657374", + "sig" : "5d053ff5b71f6ec3284525d35d77933178c8e19879886d08eccc6c7d27e9e5b5e02537dbc4d4723506e8d171fc1733857573dd02d18f48f28031d67d699a188a9ca46b4eabe2107aef237ca609cb462e24c91d25d286402b6ef7862b78a386950246ff38d6d2f458136d12e3c97fdd982600", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 4, + "comment" : "", + "msg" : "48656c6c6f", + "sig" : "442e33780f199dd7bc71d1335f74df7f3a0ec789e21a175c1bffddb6e50091998d969ac8194b3acefb7702f6c222f84f7eeca3b80406f1fe80687915e7925bf52deb47b6b779e26d30eec7c5fef03580f280a089eefd0bacc9fbbb6a4d73a591d1671d192e6bbcfdb79ad3db5673a1263000", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 5, + "comment" : "", + "msg" : "313233343030", + "sig" : "5db94c53101f521f6c1f43b60ea4d7e06fbd49c2e8afaf4fcc289e645e0880a87b8e55858df4cf2291a7303ffda446b82a117b4dd408cff28060a05236fc9c1682b0e55b60a082c9a57bffe61ef4dda5ce65df539805122b3a09a05976d41ad68ab52df85428152c57da93531e5d16920e00", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 6, + "comment" : "", 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448, + "pk" : "43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480", + "sk" : "c4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274e", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a0043ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAQ7oo9DDN/0Vq5TFUX37NCsg0pV2TWMA3K/oMbGeYwIZq6gHrAHQoArhDjqTLghacI1FgYntMOpSA\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 79, + "comment" : "RFC 8032: 1 octet", + "msg" : "03", + "sig" : "26b8f91727bd62897af15e41eb43c377efb9c610d48f2335cb0bd0087810f4352541b143c4b981b7e18f62de8ccdf633fc1bf037ab7cd779805e0dbcc0aae1cbcee1afb2e027df36bc04dcecbf154336c19f0af7e0a6472905e799f1953d2a0ff3348ab21aa4adafd1d234441cf807c03a00", + "result" : "valid", + "flags" : [] + }, + { + "tcId" : 80, + "comment" : "RFC 8032: 1 octet with context", + "msg" : "03", + "sig" : "d4f8f6131770dd46f40867d6fd5d5055de43541f8c5e35abbcd001b32a89f7d2151f7647f11d8ca2ae279fb842d607217fce6e042f6815ea000c85741de5c8da1144a6a1aba7f96de42505d7a7298524fda538fccbbb754f578c1cad10d54d0d5428407e85dcbc98a49155c13764e66c3c00", + "result" : "invalid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed448", + "d" : "zSPST3FCdOdENDI3uTKQ9RH2Ql-Y5kRZ_yA-iYUIP_32BQBVOrwOBc0CGEvbicTM1n4YeVEmfrMo", + "kid" : "none", + "kty" : "OKP", + "x" : "3OqeePNaG_NJmoMbELhskKrAHNhLZ6AQm1WjbpMoseNl_OFh1xznExpUPqTLX36fHYsAaWRHABQA" + }, + "key" : { + "curve" : "edwards448", + "keySize" : 448, + "pk" : "dcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400", + "sk" : "cd23d24f714274e744343237b93290f511f6425f98e64459ff203e8985083ffdf60500553abc0e05cd02184bdb89c4ccd67e187951267eb328", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a00dcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoA3OqeePNaG/NJmoMbELhskKrAHNhLZ6AQm1WjbpMoseNl/OFh1xznExpUPqTLX36fHYsAaWRHABQA\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 81, + "comment" : "RFC 8032: 11 bytes", + "msg" : "0c3e544074ec63b0265e0c", + "sig" : "1f0a8888ce25e8d458a21130879b840a9089d999aaba039eaf3e3afa090a09d389dba82c4ff2ae8ac5cdfb7c55e94d5d961a29fe0109941e00b8dbdeea6d3b051068df7254c0cdc129cbe62db2dc957dbb47b51fd3f213fb8698f064774250a5028961c9bf8ffd973fe5d5c206492b140e00", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed448", + "d" : "JYzdStoy7Zyf9U5jdWrlgvuPqyrHIfLI5nanJ2hRPZOfY93bVWCRM_Ka34bsmSncy1LBxf0v9-Ib", + "kid" : "none", + "kty" : "OKP", + "x" : "O6FtoMbyzB8wGHdAdW9eeY1rxfwBXXxjzJUQ7j_UStwk2OlotuRub5TRm5RTYXJr114UnvCYF_WA" + }, + "key" : { + "curve" : "edwards448", + "keySize" : 448, + "pk" : "3ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f580", + "sk" : "258cdd4ada32ed9c9ff54e63756ae582fb8fab2ac721f2c8e676a72768513d939f63dddb55609133f29adf86ec9929dccb52c1c5fd2ff7e21b", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a003ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f580", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAO6FtoMbyzB8wGHdAdW9eeY1rxfwBXXxjzJUQ7j/UStwk2OlotuRub5TRm5RTYXJr114UnvCYF/WA\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 82, + "comment" : "RFC 8032: 12 bytes", + "msg" : "64a65f3cdedcdd66811e2915", + "sig" : "7eeeab7c4e50fb799b418ee5e3197ff6bf15d43a14c34389b59dd1a7b1b85b4ae90438aca634bea45e3a2695f1270f07fdcdf7c62b8efeaf00b45c2c96ba457eb1a8bf075a3db28e5c24f6b923ed4ad747c3c9e03c7079efb87cb110d3a99861e72003cbae6d6b8b827e4e6c143064ff3c00", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed448", + "d" : "fvToRUQjZ1L7tWuPMaI6EOQoFPX1XKA3zcwRxkyaOylJwbtgcAMUYRcypsL-qY7rwCZqEak5cBAO", + "kid" : "none", + "kty" : "OKP", + "x" : "s9oHmwqkk6V3ICnwRnuuvuWoES2dOiJTI2HaKU97s4FcXcWeF2tNnzgcoJOOE8bAexdL5l36V46A" + }, + "key" : { + "curve" : "edwards448", + "keySize" : 448, + "pk" : "b3da079b0aa493a5772029f0467baebee5a8112d9d3a22532361da294f7bb3815c5dc59e176b4d9f381ca0938e13c6c07b174be65dfa578e80", + "sk" : "7ef4e84544236752fbb56b8f31a23a10e42814f5f55ca037cdcc11c64c9a3b2949c1bb60700314611732a6c2fea98eebc0266a11a93970100e", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a00b3da079b0aa493a5772029f0467baebee5a8112d9d3a22532361da294f7bb3815c5dc59e176b4d9f381ca0938e13c6c07b174be65dfa578e80", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAs9oHmwqkk6V3ICnwRnuuvuWoES2dOiJTI2HaKU97s4FcXcWeF2tNnzgcoJOOE8bAexdL5l36V46A\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 83, + "comment" : "RFC 8032: 13 bytes", + "msg" : "64a65f3cdedcdd66811e2915e7", + "sig" : "6a12066f55331b6c22acd5d5bfc5d71228fbda80ae8dec26bdd306743c5027cb4890810c162c027468675ecf645a83176c0d7323a2ccde2d80efe5a1268e8aca1d6fbc194d3f77c44986eb4ab4177919ad8bec33eb47bbb5fc6e28196fd1caf56b4e7e0ba5519234d047155ac727a1053100", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed448", + "d" : "1l3zQa0T4AhWdoi67dqOnc3BfcAkl06ltCJ7ZTDjOb_yH5nmjKaWjzzKbf4PufT6tPoTXVVC6j8B", + "kid" : "none", + "kty" : "OKP", + "x" : "35cF9Y7bq4Asf4Njz-VWCrHGEywgqfHdFjSDom-KxTo51oCL9KHfvSYbCZuwOz-1CQbLKL2KCB8A" + }, + "key" : { + "curve" : "edwards448", + "keySize" : 448, + "pk" : "df9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00", + "sk" : "d65df341ad13e008567688baedda8e9dcdc17dc024974ea5b4227b6530e339bff21f99e68ca6968f3cca6dfe0fb9f4fab4fa135d5542ea3f01", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a00df9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoA35cF9Y7bq4Asf4Njz+VWCrHGEywgqfHdFjSDom+KxTo51oCL9KHfvSYbCZuwOz+1CQbLKL2KCB8A\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 84, + "comment" : "RFC 8032: 64 bytes", + "msg" : "bd0f6a3747cd561bdddf4640a332461a4a30a12a434cd0bf40d766d9c6d458e5512204a30c17d1f50b5079631f64eb3112182da3005835461113718d1a5ef944", + "sig" : "554bc2480860b49eab8532d2a533b7d578ef473eeb58c98bb2d0e1ce488a98b18dfde9b9b90775e67f47d4a1c3482058efc9f40d2ca033a0801b63d45b3b722ef552bad3b4ccb667da350192b61c508cf7b6b5adadc2c8d9a446ef003fb05cba5f30e88e36ec2703b349ca229c2670833900", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed448", + "d" : "LsX-PBcEWr2xNqXmqRPjKrda5otT0vwUm3flBBMtN1abfnZrp0oZvWFiNDohyFkKqc68qQFMY231", + "kid" : "none", + "kty" : "OKP", + "x" : "eXVvAU3P4gefXdnnGL5BceLvJIagjyUYb2v_Q6mTa5v-EkArCK5leYo9geIunsgOdpCGLvPU7ToA" + }, + "key" : { + "curve" : "edwards448", + "keySize" : 448, + "pk" : "79756f014dcfe2079f5dd9e718be4171e2ef2486a08f25186f6bff43a9936b9bfe12402b08ae65798a3d81e22e9ec80e7690862ef3d4ed3a00", + "sk" : "2ec5fe3c17045abdb136a5e6a913e32ab75ae68b53d2fc149b77e504132d37569b7e766ba74a19bd6162343a21c8590aa9cebca9014c636df5", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a0079756f014dcfe2079f5dd9e718be4171e2ef2486a08f25186f6bff43a9936b9bfe12402b08ae65798a3d81e22e9ec80e7690862ef3d4ed3a00", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAeXVvAU3P4gefXdnnGL5BceLvJIagjyUYb2v/Q6mTa5v+EkArCK5leYo9geIunsgOdpCGLvPU7ToA\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 85, + "comment" : "RFC 8032: 256 bytes", + "msg" : "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", + "sig" : "c650ddbb0601c19ca11439e1640dd931f43c518ea5bea70d3dcde5f4191fe53f00cf966546b72bcc7d58be2b9badef28743954e3a44a23f880e8d4f1cfce2d7a61452d26da05896f0a50da66a239a8a188b6d825b3305ad77b73fbac0836ecc60987fd08527c1a8e80d5823e65cafe2a3d00", + "result" : "valid", + "flags" : [] + } + ] + }, + { + "jwk" : { + "crv" : "Ed448", + "d" : "hy0JN4D103MN98ISZks3uKDyT1aBDaqDgs1Po_d2NOxE3FTxwu2b6ob6-3Yy2L4ZnqFl9a1V3Zzo", + "kid" : "none", + "kty" : "OKP", + "x" : "qBsuinClrJT_28ybrfw_6wgB8lhXi7EUrUTs4ewOeZ2gjv-4HF1oXAxW9k7srvjN8RzDhzeDjPQA" + }, + "key" : { + "curve" : "edwards448", + "keySize" : 448, + "pk" : "a81b2e8a70a5ac94ffdbcc9badfc3feb0801f258578bb114ad44ece1ec0e799da08effb81c5d685c0c56f64eecaef8cdf11cc38737838cf400", + "sk" : "872d093780f5d3730df7c212664b37b8a0f24f56810daa8382cd4fa3f77634ec44dc54f1c2ed9bea86fafb7632d8be199ea165f5ad55dd9ce8", + "type" : "EDDSAKeyPair" + }, + "keyDer" : "3043300506032b6571033a00a81b2e8a70a5ac94ffdbcc9badfc3feb0801f258578bb114ad44ece1ec0e799da08effb81c5d685c0c56f64eecaef8cdf11cc38737838cf400", + "keyPem" : "-----BEGIN PUBLIC KEY-----\nMEMwBQYDK2VxAzoAqBsuinClrJT/28ybrfw/6wgB8lhXi7EUrUTs4ewOeZ2gjv+4HF1oXAxW9k7srvjN8RzDhzeDjPQA\n-----END PUBLIC KEY-----\n", + "type" : "EddsaVerify", + "tests" : [ + { + "tcId" : 86, + "comment" : "RFC 8032: 1023 bytes", + "msg" : "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", + "sig" : "e301345a41a39a4d72fff8df69c98075a0cc082b802fc9b2b6bc503f926b65bddf7f4c8f1cb49f6396afc8a70abe6d8aef0db478d4c6b2970076c6a0484fe76d76b3a97625d79f1ce240e7c576750d295528286f719b413de9ada3e8eb78ed573603ce30d8bb761785dc30dbc320869e1a00", + "result" : "valid", + "flags" : [] + } + ] + } + ] +} diff --git a/src/circl/sign/ed448/wycheproof_test.go b/src/circl/sign/ed448/wycheproof_test.go new file mode 100644 index 00000000000..c40ced69f1d --- /dev/null +++ b/src/circl/sign/ed448/wycheproof_test.go @@ -0,0 +1,113 @@ +package ed448_test + +import ( + "bytes" + "encoding/hex" + "encoding/json" + "io/ioutil" + "os" + "testing" + + "circl/internal/test" + "circl/sign/ed448" +) + +type group struct { + Key struct { + Curve string `json:"curve"` + Size int `json:"keySize"` + Pk string `json:"pk"` + Sk string `json:"sk"` + Type string `json:"type"` + } `json:"key"` + Type string `json:"type"` + Tests []struct { + TcID int `json:"tcId"` + Comment string `json:"comment"` + Msg string `json:"msg"` + Sig string `json:"sig"` + Result string `json:"result"` + Flags []string `json:"flags"` + } `json:"tests"` +} + +type Wycheproof struct { + Alg string `json:"algorithm"` + Version string `json:"generatorVersion"` + Num int `json:"numberOfTests"` + Groups []group `json:"testGroups"` +} + +func (kat *Wycheproof) readFile(t *testing.T, fileName string) { + jsonFile, err := os.Open(fileName) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", fileName, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + + err = json.Unmarshal(input, &kat) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", fileName, err) + } +} + +func (kat *Wycheproof) keyPair(t *testing.T) { + for i, g := range kat.Groups { + if g.Key.Curve != "edwards448" { + t.Errorf("Curve not expected %v", g.Key.Curve) + } + private, _ := hex.DecodeString(g.Key.Sk) + public, _ := hex.DecodeString(g.Key.Pk) + keys := ed448.NewKeyFromSeed(private) + got := keys.GetPublic() + want := public + + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, i, g.Key.Sk) + } + } +} + +func (kat *Wycheproof) verify(t *testing.T) { + ctx := []byte{} + + for i, g := range kat.Groups { + for _, gT := range g.Tests { + isValid := gT.Result == "valid" + private, _ := hex.DecodeString(g.Key.Sk) + public, _ := hex.DecodeString(g.Key.Pk) + sig, _ := hex.DecodeString(gT.Sig) + msg, _ := hex.DecodeString(gT.Msg) + + keys := ed448.NewKeyFromSeed(private) + got := keys.GetPublic() + want := public + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, i, gT.TcID) + } + if isValid { + got, err := keys.SignPure(msg, string(ctx)) + want := sig + if !bytes.Equal(got, want) || err != nil { + test.ReportError(t, got, want, i, gT.TcID) + } + } + { + got := ed448.VerifyPure(keys.GetPublic(), msg, sig, string(ctx)) + want := isValid + if got != want { + test.ReportError(t, got, want, i, gT.TcID) + } + } + } + } +} + +func TestWycheproof(t *testing.T) { + // Test vectors from Wycheproof v0.4.12 + var kat Wycheproof + kat.readFile(t, "testdata/wycheproof_Ed448.json") + t.Run("EDDSAKeyPair", kat.keyPair) + t.Run("EDDSAVerify", kat.verify) +} diff --git a/src/circl/sign/eddilithium3/eddilithium.go b/src/circl/sign/eddilithium3/eddilithium.go new file mode 100644 index 00000000000..11221e95f9a --- /dev/null +++ b/src/circl/sign/eddilithium3/eddilithium.go @@ -0,0 +1,218 @@ +// Package eddilithium3 implements the hybrid signature scheme Ed25519-Dilithium3. +package eddilithium3 + +import ( + "crypto" + cryptoRand "crypto/rand" + "errors" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/mode3" + "circl/sign/ed25519" +) + +const ( + // SeedSize is the length of the seed for NewKeyFromSeed + SeedSize = mode3.SeedSize // = ed25519.SeedSize = 32 + + // PublicKeySize is the length in bytes of the packed public key. + PublicKeySize = mode3.PublicKeySize + ed25519.PublicKeySize + + // PrivateKeySize is the length in bytes of the packed public key. + PrivateKeySize = mode3.PrivateKeySize + ed25519.PrivateKeySize + + // SignatureSize is the length in bytes of the signatures. + SignatureSize = mode3.SignatureSize + ed25519.SignatureSize +) + +// PublicKey is the type of an EdDilithium3 public key. +type PublicKey struct { + e ed25519.PublicKey + d mode3.PublicKey +} + +// PrivateKey is the type of an EdDilithium3 private key. +type PrivateKey struct { + e ed25519.KeyPair + d mode3.PrivateKey +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [SeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + var seed1 [32]byte + var seed2 [32]byte + + // Internally, Ed25519 and Dilithium hash the seeds they are passed again + // with different hash functions, so it would be safe to use exactly the + // same seed for Ed25519 and Dilithium here. However, in general, when + // combining any two signature schemes it might not be the case that this + // is safe. Setting a bad example here isn't worth the tiny gain in + // performance. + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(seed1[:]) + _, _ = h.Read(seed2[:]) + dpk, dsk := mode3.NewKeyFromSeed(&seed1) + epair := ed25519.NewKeyFromSeed(seed2[:]) + + return &PublicKey{epair.GetPublic(), *dpk}, &PrivateKey{*epair, *dsk} +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + mode3.SignTo( + &sk.d, + msg, + signature[:mode3.SignatureSize], + ) + esig, _ := sk.e.SignPure( + msg, + ) + copy(signature[mode3.SignatureSize:], esig[:]) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + if !mode3.Verify( + &pk.d, + msg, + signature[:mode3.SignatureSize], + ) { + return false + } + if !ed25519.Verify( + pk.e, + msg, + signature[mode3.SignatureSize:], + crypto.Hash(0), + ) { + return false + } + return true +} + +// Unpack unpacks pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + var tmp [mode3.PublicKeySize]byte + copy(tmp[:], buf[:mode3.PublicKeySize]) + pk.d.Unpack(&tmp) + pk.e = make([]byte, ed25519.PublicKeySize) + copy(pk.e, buf[mode3.PublicKeySize:]) +} + +// Unpack sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + var tmp [mode3.PrivateKeySize]byte + copy(tmp[:], buf[:mode3.PrivateKeySize]) + sk.d.Unpack(&tmp) + sk.e = *ed25519.NewKeyFromSeed(buf[mode3.PrivateKeySize:]) +} + +// Pack packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + var tmp [mode3.PublicKeySize]byte + pk.d.Pack(&tmp) + copy(buf[:mode3.PublicKeySize], tmp[:]) + copy(buf[mode3.PublicKeySize:], pk.e) +} + +// Pack packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + var tmp [mode3.PrivateKeySize]byte + sk.d.Pack(&tmp) + copy(buf[:mode3.PrivateKeySize], tmp[:]) + copy(buf[mode3.PrivateKeySize:], sk.e.Seed()) +} + +// Bytes packs the public key. +func (pk *PublicKey) Bytes() []byte { + return append(pk.d.Bytes(), pk.e...) +} + +// Bytes packs the private key. +func (sk *PrivateKey) Bytes() []byte { + return append(sk.d.Bytes(), sk.e.Seed()...) +} + +// MarshalBinary packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// MarshalBinary packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// UnmarshalBinary the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of eddilithium3.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// UnmarshalBinary unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of eddilithium3.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("eddilithium3: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Public computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return &PublicKey{ + sk.e.GetPublic(), + *sk.d.Public().(*mode3.PublicKey), + } +} diff --git a/src/circl/sign/eddilithium3/eddilithium_test.go b/src/circl/sign/eddilithium3/eddilithium_test.go new file mode 100644 index 00000000000..5f0e6c18e01 --- /dev/null +++ b/src/circl/sign/eddilithium3/eddilithium_test.go @@ -0,0 +1,111 @@ +package eddilithium3_test + +import ( + "circl/sign/eddilithium3" + + "encoding/binary" + "testing" +) + +func BenchmarkVerify(b *testing.B) { + // Note that Dilithium precomputes quite a bit during Unpacking/Keygen + // instead of at the moment of verification (as compared to the reference + // implementation. A fair comparison thus should sum verification + // times with unpacking times.) + var seed [32]byte + var msg [8]byte + var sig [eddilithium3.SignatureSize]byte + pk, sk := eddilithium3.NewKeyFromSeed(&seed) + eddilithium3.SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + eddilithium3.Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that Dilithium precomputes quite a bit during Unpacking/Keygen + // instead of at the moment of signing (as compared to the reference + // implementation. A fair comparison thus should sum sign times with + // unpacking times.) + var seed [32]byte + var msg [8]byte + var sig [eddilithium3.SignatureSize]byte + _, sk := eddilithium3.NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + eddilithium3.SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + eddilithium3.NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [32]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := eddilithium3.NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [eddilithium3.SeedSize]byte + var sig [eddilithium3.SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [eddilithium3.PublicKeySize]byte + var skb1, skb2 [eddilithium3.PrivateKeySize]byte + var pk2 eddilithium3.PublicKey + var sk2 eddilithium3.PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := eddilithium3.NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + eddilithium3.SignTo(sk, msg[:], sig[:]) + if !eddilithium3.Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [eddilithium3.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := eddilithium3.NewKeyFromSeed(&seed) + pk2 := sk.Public().(*eddilithium3.PublicKey) + var pkb1, pkb2 [eddilithium3.PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/eddilithium3/example_test.go b/src/circl/sign/eddilithium3/example_test.go new file mode 100644 index 00000000000..3837847e0ff --- /dev/null +++ b/src/circl/sign/eddilithium3/example_test.go @@ -0,0 +1,45 @@ +package eddilithium3_test + +import ( + "fmt" + + "circl/sign/eddilithium3" +) + +func Example() { + // Generates a keypair. + pk, sk, err := eddilithium3.GenerateKey(nil) + if err != nil { + panic(err) + } + + // (Alternatively one can derive a keypair from a seed, + // see NewKeyFromSeed().) + + // Packs public and private key + var packedSk [eddilithium3.PrivateKeySize]byte + var packedPk [eddilithium3.PublicKeySize]byte + sk.Pack(&packedSk) + pk.Pack(&packedPk) + + // Load it again + var sk2 eddilithium3.PrivateKey + var pk2 eddilithium3.PublicKey + sk2.Unpack(&packedSk) + pk2.Unpack(&packedPk) + + // Creates a signature on our message with the generated private key. + msg := []byte("Some message") + var signature [eddilithium3.SignatureSize]byte + eddilithium3.SignTo(&sk2, msg, signature[:]) + + // Checks whether a signature is correct + if !eddilithium3.Verify(&pk2, msg, signature[:]) { + panic("incorrect signature") + } + + fmt.Printf("O.K.") + + // Output: + // O.K. +} diff --git a/src/circl/sign/eddilithium4/eddilithium.go b/src/circl/sign/eddilithium4/eddilithium.go new file mode 100644 index 00000000000..d7806ecc193 --- /dev/null +++ b/src/circl/sign/eddilithium4/eddilithium.go @@ -0,0 +1,213 @@ +// Package eddilithium4 implements the hybrid signature scheme Ed448-Dilithium4. +package eddilithium4 + +import ( + "crypto" + cryptoRand "crypto/rand" + "errors" + "io" + + "circl/internal/shake" + "circl/sign/dilithium/mode4" + "circl/sign/ed448" +) + +const ( + // SeedSize is the length of the seed for NewKeyFromSeed + SeedSize = ed448.PrivateKeySize // > mode4.SeedSize + + // PublicKeySize is the length in bytes of the packed public key. + PublicKeySize = mode4.PublicKeySize + ed448.PublicKeySize + + // PrivateKeySize is the length in bytes of the packed public key. + PrivateKeySize = mode4.PrivateKeySize + ed448.PrivateKeySize + + // SignatureSize is the length in bytes of the signatures. + SignatureSize = mode4.SignatureSize + ed448.SignatureSize +) + +// PublicKey is the type of an EdDilithium4 public key. +type PublicKey struct { + e ed448.PublicKey + d mode4.PublicKey +} + +// PrivateKey is the type of an EdDilithium4 private key. +type PrivateKey struct { + e ed448.KeyPair + d mode4.PrivateKey +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [SeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + + pk, sk := NewKeyFromSeed(&seed) + return pk, sk, nil +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { + var seed1 [32]byte + var seed2 [57]byte + + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Read(seed1[:]) + _, _ = h.Read(seed2[:]) + dpk, dsk := mode4.NewKeyFromSeed(&seed1) + epair := ed448.NewKeyFromSeed(seed2[:]) + + return &PublicKey{epair.GetPublic(), *dpk}, &PrivateKey{*epair, *dsk} +} + +// SignTo signs the given message and writes the signature into signature. +// It will panic if signature is not of length at least SignatureSize. +func SignTo(sk *PrivateKey, msg []byte, signature []byte) { + mode4.SignTo( + &sk.d, + msg, + signature[:mode4.SignatureSize], + ) + esig, _ := sk.e.Sign( + nil, + msg, + crypto.Hash(0), + ) + copy(signature[mode4.SignatureSize:], esig[:]) +} + +// Verify checks whether the given signature by pk on msg is valid. +func Verify(pk *PublicKey, msg []byte, signature []byte) bool { + if !mode4.Verify( + &pk.d, + msg, + signature[:mode4.SignatureSize], + ) { + return false + } + if !ed448.Verify( + pk.e, + msg, + signature[mode4.SignatureSize:], + crypto.Hash(0), + ) { + return false + } + return true +} + +// Unpack unpacks pk to the public key encoded in buf. +func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { + var tmp [mode4.PublicKeySize]byte + copy(tmp[:], buf[:mode4.PublicKeySize]) + pk.d.Unpack(&tmp) + pk.e = make([]byte, ed448.PublicKeySize) + copy(pk.e, buf[mode4.PublicKeySize:]) +} + +// Unpack sets sk to the private key encoded in buf. +func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { + var tmp [mode4.PrivateKeySize]byte + copy(tmp[:], buf[:mode4.PrivateKeySize]) + sk.d.Unpack(&tmp) + sk.e = *ed448.NewKeyFromSeed(buf[mode4.PrivateKeySize:]) +} + +// Pack packs the public key into buf. +func (pk *PublicKey) Pack(buf *[PublicKeySize]byte) { + var tmp [mode4.PublicKeySize]byte + pk.d.Pack(&tmp) + copy(buf[:mode4.PublicKeySize], tmp[:]) + copy(buf[mode4.PublicKeySize:], pk.e) +} + +// Pack packs the private key into buf. +func (sk *PrivateKey) Pack(buf *[PrivateKeySize]byte) { + var tmp [mode4.PrivateKeySize]byte + sk.d.Pack(&tmp) + copy(buf[:mode4.PrivateKeySize], tmp[:]) + copy(buf[mode4.PrivateKeySize:], sk.e.Seed()) +} + +// Bytes packs the public key. +func (pk *PublicKey) Bytes() []byte { + return append(pk.d.Bytes(), pk.e...) +} + +// Bytes packs the private key. +func (sk *PrivateKey) Bytes() []byte { + return append(sk.d.Bytes(), sk.e.Seed()...) +} + +// MarshalBinary packs the public key. +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + return pk.Bytes(), nil +} + +// MarshalBinary packs the private key. +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + return sk.Bytes(), nil +} + +// UnmarshalBinary the public key from data. +func (pk *PublicKey) UnmarshalBinary(data []byte) error { + if len(data) != PublicKeySize { + return errors.New("packed public key must be of eddilithium3.PublicKeySize bytes") + } + var buf [PublicKeySize]byte + copy(buf[:], data) + pk.Unpack(&buf) + return nil +} + +// UnmarshalBinary unpacks the private key from data. +func (sk *PrivateKey) UnmarshalBinary(data []byte) error { + if len(data) != PrivateKeySize { + return errors.New("packed private key must be of eddilithium3.PrivateKeySize bytes") + } + var buf [PrivateKeySize]byte + copy(buf[:], data) + sk.Unpack(&buf) + return nil +} + +// Sign signs the given message. +// +// opts.HashFunc() must return zero, which can be achieved by passing +// crypto.Hash(0) for opts. rand is ignored. Will only return an error +// if opts.HashFunc() is non-zero. +// +// This function is used to make PrivateKey implement the crypto.Signer +// interface. The package-level SignTo function might be more convenient +// to use. +func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( + signature []byte, err error) { + var sig [SignatureSize]byte + + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("eddilithium3: cannot sign hashed message") + } + + SignTo(sk, msg, sig[:]) + return sig[:], nil +} + +// Public computes the public key corresponding to this private key. +// +// Returns a *PublicKey. The type crypto.PublicKey is used to make +// PrivateKey implement the crypto.Signer interface. +func (sk *PrivateKey) Public() crypto.PublicKey { + return &PublicKey{ + sk.e.GetPublic(), + *sk.d.Public().(*mode4.PublicKey), + } +} diff --git a/src/circl/sign/eddilithium4/eddilithium_test.go b/src/circl/sign/eddilithium4/eddilithium_test.go new file mode 100644 index 00000000000..030ad19f1a4 --- /dev/null +++ b/src/circl/sign/eddilithium4/eddilithium_test.go @@ -0,0 +1,111 @@ +package eddilithium4_test + +import ( + "circl/sign/eddilithium4" + + "encoding/binary" + "testing" +) + +func BenchmarkVerify(b *testing.B) { + // Note that Dilithium precomputes quite a bit during Unpacking/Keygen + // instead of at the moment of verification (as compared to the reference + // implementation. A fair comparison thus should sum verification + // times with unpacking times.) + var seed [57]byte + var msg [8]byte + var sig [eddilithium4.SignatureSize]byte + pk, sk := eddilithium4.NewKeyFromSeed(&seed) + eddilithium4.SignTo(sk, msg[:], sig[:]) + b.ResetTimer() + for i := 0; i < b.N; i++ { + // We should generate a new signature for every verify attempt, + // as this influences the time a little bit. This difference, however, + // is small and generating a new signature in between creates a lot + // pressure on the allocator which makes an accurate measurement hard. + eddilithium4.Verify(pk, msg[:], sig[:]) + } +} + +func BenchmarkSign(b *testing.B) { + // Note that Dilithium precomputes quite a bit during Unpacking/Keygen + // instead of at the moment of signing (as compared to the reference + // implementation. A fair comparison thus should sum sign times with + // unpacking times.) + var seed [57]byte + var msg [8]byte + var sig [eddilithium4.SignatureSize]byte + _, sk := eddilithium4.NewKeyFromSeed(&seed) + b.ResetTimer() + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(msg[:], uint64(i)) + eddilithium4.SignTo(sk, msg[:], sig[:]) + } +} + +func BenchmarkGenerateKey(b *testing.B) { + var seed [57]byte + for i := 0; i < b.N; i++ { + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + eddilithium4.NewKeyFromSeed(&seed) + } +} + +func BenchmarkPublicFromPrivate(b *testing.B) { + var seed [57]byte + for i := 0; i < b.N; i++ { + b.StopTimer() + binary.LittleEndian.PutUint64(seed[:], uint64(i)) + _, sk := eddilithium4.NewKeyFromSeed(&seed) + b.StartTimer() + sk.Public() + } +} + +func TestSignThenVerifyAndPkSkPacking(t *testing.T) { + var seed [eddilithium4.SeedSize]byte + var sig [eddilithium4.SignatureSize]byte + var msg [8]byte + var pkb1, pkb2 [eddilithium4.PublicKeySize]byte + var skb1, skb2 [eddilithium4.PrivateKeySize]byte + var pk2 eddilithium4.PublicKey + var sk2 eddilithium4.PrivateKey + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := eddilithium4.NewKeyFromSeed(&seed) + for j := uint64(0); j < 10; j++ { + binary.LittleEndian.PutUint64(msg[:], j) + eddilithium4.SignTo(sk, msg[:], sig[:]) + if !eddilithium4.Verify(pk, msg[:], sig[:]) { + t.Fatal() + } + } + pk.Pack(&pkb1) + pk2.Unpack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + sk.Pack(&skb1) + sk2.Unpack(&skb1) + sk2.Pack(&skb2) + if skb1 != skb2 { + t.Fatal() + } + } +} + +func TestPublicFromPrivate(t *testing.T) { + var seed [eddilithium4.SeedSize]byte + for i := uint64(0); i < 100; i++ { + binary.LittleEndian.PutUint64(seed[:], i) + pk, sk := eddilithium4.NewKeyFromSeed(&seed) + pk2 := sk.Public().(*eddilithium4.PublicKey) + var pkb1, pkb2 [eddilithium4.PublicKeySize]byte + pk.Pack(&pkb1) + pk2.Pack(&pkb2) + if pkb1 != pkb2 { + t.Fatal() + } + } +} diff --git a/src/circl/sign/eddilithium4/example_test.go b/src/circl/sign/eddilithium4/example_test.go new file mode 100644 index 00000000000..aacfb3325d9 --- /dev/null +++ b/src/circl/sign/eddilithium4/example_test.go @@ -0,0 +1,45 @@ +package eddilithium4_test + +import ( + "fmt" + + "circl/sign/eddilithium4" +) + +func Example() { + // Generates a keypair. + pk, sk, err := eddilithium4.GenerateKey(nil) + if err != nil { + panic(err) + } + + // (Alternatively one can derive a keypair from a seed, + // see NewKeyFromSeed().) + + // Packs public and private key + var packedSk [eddilithium4.PrivateKeySize]byte + var packedPk [eddilithium4.PublicKeySize]byte + sk.Pack(&packedSk) + pk.Pack(&packedPk) + + // Load it again + var sk2 eddilithium4.PrivateKey + var pk2 eddilithium4.PublicKey + sk2.Unpack(&packedSk) + pk2.Unpack(&packedPk) + + // Creates a signature on our message with the generated private key. + msg := []byte("Some message") + var signature [eddilithium4.SignatureSize]byte + eddilithium4.SignTo(&sk2, msg, signature[:]) + + // Checks whether a signature is correct + if !eddilithium4.Verify(&pk2, msg, signature[:]) { + panic("incorrect signature") + } + + fmt.Printf("O.K.") + + // Output: + // O.K. +} diff --git a/src/circl/simd/doc.go b/src/circl/simd/doc.go new file mode 100644 index 00000000000..74814ac2d79 --- /dev/null +++ b/src/circl/simd/doc.go @@ -0,0 +1,2 @@ +// Package simd provides parallel implementations of some primitives. +package simd diff --git a/src/circl/simd/keccakf1600/example_test.go b/src/circl/simd/keccakf1600/example_test.go new file mode 100644 index 00000000000..ce9f84157d8 --- /dev/null +++ b/src/circl/simd/keccakf1600/example_test.go @@ -0,0 +1,79 @@ +package keccakf1600_test + +import ( + "encoding/binary" + "fmt" + + sha3 "circl/internal/shake" + "circl/simd/keccakf1600" +) + +func Example() { + // As an example, computes the (first 32 bytes of a) SHAKE-256 stream of + // four short strings at the same time. + msgs := [4][]byte{ + []byte("These are some short"), + []byte("strings of the same "), + []byte("length that fit in a"), + []byte("single block. "), + } + var hashes [4][32]byte + + // The user could branch to a fast non-SIMD implementation if this function + // returns false. + if !keccakf1600.IsEnabledX4() { + // Compute hashes separately using golang.org/x/crypto/sha3 instead + // when a fast four-way implementation is not available. A generic + // keccakf1600 implementation is quite a bit slower than using + // the non-interleaved hashes because of the need to interleave and + // deinterleave the state. + for i := 0; i < 4; i++ { + h := sha3.NewShake256() + _, _ = h.Write(msgs[i]) + _, _ = h.Read(hashes[i][:]) + } + } else { + // f1600 acts on 1600 bits arranged as 25 uint64s. Our fourway f1600 + // acts on four interleaved states; that is a [100]uint64. (A separate + // type is used to ensure that the encapsulated [100]uint64 is aligned + // properly to be used efficiently with vector instructions.) + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // state is initialized with zeroes. As the messages fit within one + // block, we only need to write the messages, domain separators + // and padding. + for i := 0; i < 4; i++ { + // The messages. + state[i] = binary.LittleEndian.Uint64(msgs[i][:8]) + state[4+i] = binary.LittleEndian.Uint64(msgs[i][8:16]) + + // Final bit of the message together with the SHAKE-256 domain + // separator (0b1111) and the start of the padding (0b10....) + state[8+i] = uint64(binary.LittleEndian.Uint32(msgs[i][16:])) | + (uint64(0x1f) << 32) + state[16*4+i] = 0x80 << 56 // end of padding (0b...01) + } + + // Executes the permutation on state. + perm.Permute() + + // As our desired output fits within one block, we can read it without + // repeating the permutation. + for i := 0; i < 4; i++ { + for j := 0; j < 4; j++ { + binary.LittleEndian.PutUint64( + hashes[i][8*j:8*(j+1)], + state[4*j+i], + ) + } + } + } + + fmt.Printf("\n%x\n%x\n%x\n%x\n", hashes[0], hashes[1], hashes[2], hashes[3]) + // Output: + // 9b48efc4f4e562fe28c510b2ad3966b101ac20066dc88117d85a595cc965f7e4 + // 19333d8bb71edce81f0630e4154abea83bf7d2f7e709d62fda878b6e9db9c9c1 + // 28f31cc0b8d95185fbba5c4ed5cd94ed7dba0e13c21ca830d1325a212defdfc5 + // 51392299d6b10e62b98eb02c9540784046cc9c83e46eddd2ce57cddc2037f917 +} diff --git a/src/circl/simd/keccakf1600/f1600x4.go b/src/circl/simd/keccakf1600/f1600x4.go new file mode 100644 index 00000000000..72dbdf26d7d --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x4.go @@ -0,0 +1,84 @@ +// Package keccakf1600 provides a four-way Keccak-f[1600] permutation in parallel. +// +// Keccak-f[1600] is the permutation underlying several algorithms such as +// Keccak, SHA3 and SHAKE. Running four permutations in parallel is useful in +// some scenarios like in hash-based signatures. +// +// Limitations +// +// Note that not all the architectures support SIMD instructions. This package +// uses AVX2 instructions that are available in some AMD64 architectures. +// +// For those systems not supporting AVX2, the package still provides the +// expected functionality by means of a generic and slow implementation. +// The recommendation is to beforehand verify IsEnabledX4() to determine if +// the current system supports the SIMD implementation. +package keccakf1600 + +import ( + "unsafe" + + "circl/internal/shake" + "internal/cpu" +) + +// StateX4 contains state for the four-way permutation including the four +// interleaved [25]uint64 buffers. Call Initialize() before use to initialize +// and get a pointer to the interleaved buffer. +type StateX4 struct { + // Go guarantees a to be aligned on 8 bytes, whereas we need it to be + // aligned on 32 bytes for bet performance. Thus we leave some headroom + // to be able to move the start of the state. + + // 4 x 25 uint64s for the interleaved states and three uint64s headroom + // to fix alignment. + a [103]uint64 + + // Offset into a that is 32 byte aligned. + offset int +} + +// IsEnabledX4 returns true if the architecture supports a four-way SIMD +// implementation provided in this package. +func IsEnabledX4() bool { return cpu.X86.HasAVX2 } + +// Initialize the state and returns the buffer on which the four permutations +// will act: a uint64 slice of length 100. The first permutation will act +// on {a[0], a[4], ..., a[96]}, the second on {a[1], a[5], ..., a[97]}, etc. +func (s *StateX4) Initialize() []uint64 { + rp := unsafe.Pointer(&s.a[0]) + + // uint64s are always aligned by a multiple of 8. Compute the remainder + // of the address modulo 32 divided by 8. + rem := (int(uintptr(rp)&31) >> 3) + + if rem != 0 { + s.offset = 4 - rem + } + + // The slice we return will be aligned on 32 byte boundary. + return s.a[s.offset : s.offset+100] +} + +// Permute performs the four parallel Keccak-f[1600]s interleaved on the slice +// returned from Initialize(). +func (s *StateX4) Permute() { + if IsEnabledX4() { + permuteSIMD(s.a[s.offset:]) + } else { + permuteScalar(s.a[s.offset:]) // A slower generic implementation. + } +} + +func permuteScalar(a []uint64) { + var buf [25]uint64 + for i := 0; i < 4; i++ { + for j := 0; j < 25; j++ { + buf[j] = a[4*j+i] + } + shake.KeccakF1600(&buf) + for j := 0; j < 25; j++ { + a[4*j+i] = buf[j] + } + } +} diff --git a/src/circl/simd/keccakf1600/f1600x4_amd64.go b/src/circl/simd/keccakf1600/f1600x4_amd64.go new file mode 100644 index 00000000000..ad99b3bf8b2 --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x4_amd64.go @@ -0,0 +1,5 @@ +package keccakf1600 + +import "circl/internal/shake" + +func permuteSIMD(state []uint64) { f1600x4AVX2(&state[0], &shake.RC) } diff --git a/src/circl/simd/keccakf1600/f1600x4_amd64.s b/src/circl/simd/keccakf1600/f1600x4_amd64.s new file mode 100644 index 00000000000..194981f10ac --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x4_amd64.s @@ -0,0 +1,894 @@ +// Code generated by command: go run src.go -out ../../f1600x4_amd64.s -stubs ../../f1600x4stubs_amd64.go -pkg keccakf1600. DO NOT EDIT. + +// +build amd64 + +#include "textflag.h" + +// func f1600x4AVX2(state *uint64, rc *[24]uint64) +// Requires: AVX, AVX2 +TEXT ·f1600x4AVX2(SB), NOSPLIT, $0-16 + MOVQ state+0(FP), AX + MOVQ rc+8(FP), CX + MOVQ $0x0000000000000006, DX + +loop: + VMOVDQA (AX), Y0 + VMOVDQA 32(AX), Y1 + VMOVDQA 64(AX), Y2 + VMOVDQA 96(AX), Y3 + VMOVDQA 128(AX), Y4 + VPXOR 160(AX), Y0, Y0 + VPXOR 192(AX), Y1, Y1 + VPXOR 224(AX), Y2, Y2 + VPXOR 256(AX), Y3, Y3 + VPXOR 288(AX), Y4, Y4 + VPXOR 320(AX), Y0, Y0 + VPXOR 352(AX), Y1, Y1 + VPXOR 384(AX), Y2, Y2 + VPXOR 416(AX), Y3, Y3 + VPXOR 448(AX), Y4, Y4 + VPXOR 480(AX), Y0, Y0 + VPXOR 512(AX), Y1, Y1 + VPXOR 544(AX), Y2, Y2 + VPXOR 576(AX), Y3, Y3 + VPXOR 608(AX), Y4, Y4 + VPXOR 640(AX), Y0, Y0 + VPXOR 672(AX), Y1, Y1 + VPXOR 704(AX), Y2, Y2 + VPXOR 736(AX), Y3, Y3 + VPXOR 768(AX), Y4, Y4 + VPSLLQ $0x01, Y1, Y5 + VPSLLQ $0x01, Y2, Y6 + VPSLLQ $0x01, Y3, Y7 + VPSLLQ $0x01, Y4, Y8 + VPSLLQ $0x01, Y0, Y9 + VPSRLQ $0x3f, Y1, Y10 + VPSRLQ $0x3f, Y2, Y11 + VPSRLQ $0x3f, Y3, Y12 + VPSRLQ $0x3f, Y4, Y13 + VPSRLQ $0x3f, Y0, Y14 + VPOR Y5, Y10, Y10 + VPOR Y6, Y11, Y11 + VPOR Y7, Y12, Y12 + VPOR Y8, Y13, Y13 + VPOR Y9, Y14, Y14 + VPXOR Y10, Y4, Y10 + VPXOR Y11, Y0, Y11 + VPXOR Y12, Y1, Y12 + VPXOR Y13, Y2, Y13 + VPXOR Y14, Y3, Y14 + VPXOR (AX), Y10, Y0 + VPXOR 192(AX), Y11, Y1 + VPXOR 384(AX), Y12, Y2 + VPXOR 576(AX), Y13, Y3 + VPXOR 768(AX), Y14, Y4 + VPSLLQ $0x2c, Y1, Y6 + VPSLLQ $0x2b, Y2, Y7 + VPSLLQ $0x15, Y3, Y8 + VPSLLQ $0x0e, Y4, Y9 + VPSRLQ $0x14, Y1, Y1 + VPSRLQ $0x15, Y2, Y2 + VPSRLQ $0x2b, Y3, Y3 + VPSRLQ $0x32, Y4, Y4 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VPBROADCASTQ (CX), Y0 + VPXOR Y0, Y5, Y5 + VMOVDQA Y5, (AX) + VMOVDQA Y6, 192(AX) + VMOVDQA Y7, 384(AX) + VMOVDQA Y8, 576(AX) + VMOVDQA Y9, 768(AX) + VPXOR 96(AX), Y13, Y0 + VPXOR 288(AX), Y14, Y1 + VPXOR 320(AX), Y10, Y2 + VPXOR 512(AX), Y11, Y3 + VPXOR 704(AX), Y12, Y4 + VPSLLQ $0x1c, Y0, Y5 + VPSLLQ $0x14, Y1, Y6 + VPSLLQ $0x03, Y2, Y7 + VPSLLQ $0x2d, Y3, Y8 + VPSLLQ $0x3d, Y4, Y9 + VPSRLQ $0x24, Y0, Y0 + VPSRLQ $0x2c, Y1, Y1 + VPSRLQ $0x3d, Y2, Y2 + VPSRLQ $0x13, Y3, Y3 + VPSRLQ $0x03, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 320(AX) + VMOVDQA Y6, 512(AX) + VMOVDQA Y7, 704(AX) + VMOVDQA Y8, 96(AX) + VMOVDQA Y9, 288(AX) + VPXOR 32(AX), Y11, Y0 + VPXOR 224(AX), Y12, Y1 + VPXOR 416(AX), Y13, Y2 + VPXOR 608(AX), Y14, Y3 + VPXOR 640(AX), Y10, Y4 + VPSLLQ $0x01, Y0, Y5 + VPSLLQ $0x06, Y1, Y6 + VPSLLQ $0x19, Y2, Y7 + VPSLLQ $0x08, Y3, Y8 + VPSLLQ $0x12, Y4, Y9 + VPSRLQ $0x3f, Y0, Y0 + VPSRLQ $0x3a, Y1, Y1 + VPSRLQ $0x27, Y2, Y2 + VPSRLQ $0x38, Y3, Y3 + VPSRLQ $0x2e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 640(AX) + VMOVDQA Y6, 32(AX) + VMOVDQA Y7, 224(AX) + VMOVDQA Y8, 416(AX) + VMOVDQA Y9, 608(AX) + VPXOR 128(AX), Y14, Y0 + VPXOR 160(AX), Y10, Y1 + VPXOR 352(AX), Y11, Y2 + VPXOR 544(AX), Y12, Y3 + VPXOR 736(AX), Y13, Y4 + VPSLLQ $0x1b, Y0, Y5 + VPSLLQ $0x24, Y1, Y6 + VPSLLQ $0x0a, Y2, Y7 + VPSLLQ $0x0f, Y3, Y8 + VPSLLQ $0x38, Y4, Y9 + VPSRLQ $0x25, Y0, Y0 + VPSRLQ $0x1c, Y1, Y1 + VPSRLQ $0x36, Y2, Y2 + VPSRLQ $0x31, Y3, Y3 + VPSRLQ $0x08, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 160(AX) + VMOVDQA Y6, 352(AX) + VMOVDQA Y7, 544(AX) + VMOVDQA Y8, 736(AX) + VMOVDQA Y9, 128(AX) + VPXOR 64(AX), Y12, Y0 + VPXOR 256(AX), Y13, Y1 + VPXOR 448(AX), Y14, Y2 + VPXOR 480(AX), Y10, Y3 + VPXOR 672(AX), Y11, Y4 + VPSLLQ $0x3e, Y0, Y5 + VPSLLQ $0x37, Y1, Y6 + VPSLLQ $0x27, Y2, Y7 + VPSLLQ $0x29, Y3, Y8 + VPSLLQ $0x02, Y4, Y9 + VPSRLQ $0x02, Y0, Y0 + VPSRLQ $0x09, Y1, Y1 + VPSRLQ $0x19, Y2, Y2 + VPSRLQ $0x17, Y3, Y3 + VPSRLQ $0x3e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 480(AX) + VMOVDQA Y6, 672(AX) + VMOVDQA Y7, 64(AX) + VMOVDQA Y8, 256(AX) + VMOVDQA Y9, 448(AX) + VMOVDQA (AX), Y0 + VMOVDQA 32(AX), Y1 + VMOVDQA 64(AX), Y2 + VMOVDQA 96(AX), Y3 + VMOVDQA 128(AX), Y4 + VPXOR 160(AX), Y0, Y0 + VPXOR 192(AX), Y1, Y1 + VPXOR 224(AX), Y2, Y2 + VPXOR 256(AX), Y3, Y3 + VPXOR 288(AX), Y4, Y4 + VPXOR 320(AX), Y0, Y0 + VPXOR 352(AX), Y1, Y1 + VPXOR 384(AX), Y2, Y2 + VPXOR 416(AX), Y3, Y3 + VPXOR 448(AX), Y4, Y4 + VPXOR 480(AX), Y0, Y0 + VPXOR 512(AX), Y1, Y1 + VPXOR 544(AX), Y2, Y2 + VPXOR 576(AX), Y3, Y3 + VPXOR 608(AX), Y4, Y4 + VPXOR 640(AX), Y0, Y0 + VPXOR 672(AX), Y1, Y1 + VPXOR 704(AX), Y2, Y2 + VPXOR 736(AX), Y3, Y3 + VPXOR 768(AX), Y4, Y4 + VPSLLQ $0x01, Y1, Y5 + VPSLLQ $0x01, Y2, Y6 + VPSLLQ $0x01, Y3, Y7 + VPSLLQ $0x01, Y4, Y8 + VPSLLQ $0x01, Y0, Y9 + VPSRLQ $0x3f, Y1, Y10 + VPSRLQ $0x3f, Y2, Y11 + VPSRLQ $0x3f, Y3, Y12 + VPSRLQ $0x3f, Y4, Y13 + VPSRLQ $0x3f, Y0, Y14 + VPOR Y5, Y10, Y10 + VPOR Y6, Y11, Y11 + VPOR Y7, Y12, Y12 + VPOR Y8, Y13, Y13 + VPOR Y9, Y14, Y14 + VPXOR Y10, Y4, Y10 + VPXOR Y11, Y0, Y11 + VPXOR Y12, Y1, Y12 + VPXOR Y13, Y2, Y13 + VPXOR Y14, Y3, Y14 + VPXOR (AX), Y10, Y0 + VPXOR 512(AX), Y11, Y1 + VPXOR 224(AX), Y12, Y2 + VPXOR 736(AX), Y13, Y3 + VPXOR 448(AX), Y14, Y4 + VPSLLQ $0x2c, Y1, Y6 + VPSLLQ $0x2b, Y2, Y7 + VPSLLQ $0x15, Y3, Y8 + VPSLLQ $0x0e, Y4, Y9 + VPSRLQ $0x14, Y1, Y1 + VPSRLQ $0x15, Y2, Y2 + VPSRLQ $0x2b, Y3, Y3 + VPSRLQ $0x32, Y4, Y4 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VPBROADCASTQ 8(CX), Y0 + VPXOR Y0, Y5, Y5 + VMOVDQA Y5, (AX) + VMOVDQA Y6, 512(AX) + VMOVDQA Y7, 224(AX) + VMOVDQA Y8, 736(AX) + VMOVDQA Y9, 448(AX) + VPXOR 576(AX), Y13, Y0 + VPXOR 288(AX), Y14, Y1 + VPXOR 640(AX), Y10, Y2 + VPXOR 352(AX), Y11, Y3 + VPXOR 64(AX), Y12, Y4 + VPSLLQ $0x1c, Y0, Y5 + VPSLLQ $0x14, Y1, Y6 + VPSLLQ $0x03, Y2, Y7 + VPSLLQ $0x2d, Y3, Y8 + VPSLLQ $0x3d, Y4, Y9 + VPSRLQ $0x24, Y0, Y0 + VPSRLQ $0x2c, Y1, Y1 + VPSRLQ $0x3d, Y2, Y2 + VPSRLQ $0x13, Y3, Y3 + VPSRLQ $0x03, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 640(AX) + VMOVDQA Y6, 352(AX) + VMOVDQA Y7, 64(AX) + VMOVDQA Y8, 576(AX) + VMOVDQA Y9, 288(AX) + VPXOR 192(AX), Y11, Y0 + VPXOR 704(AX), Y12, Y1 + VPXOR 416(AX), Y13, Y2 + VPXOR 128(AX), Y14, Y3 + VPXOR 480(AX), Y10, Y4 + VPSLLQ $0x01, Y0, Y5 + VPSLLQ $0x06, Y1, Y6 + VPSLLQ $0x19, Y2, Y7 + VPSLLQ $0x08, Y3, Y8 + VPSLLQ $0x12, Y4, Y9 + VPSRLQ $0x3f, Y0, Y0 + VPSRLQ $0x3a, Y1, Y1 + VPSRLQ $0x27, Y2, Y2 + VPSRLQ $0x38, Y3, Y3 + VPSRLQ $0x2e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 480(AX) + VMOVDQA Y6, 192(AX) + VMOVDQA Y7, 704(AX) + VMOVDQA Y8, 416(AX) + VMOVDQA Y9, 128(AX) + VPXOR 768(AX), Y14, Y0 + VPXOR 320(AX), Y10, Y1 + VPXOR 32(AX), Y11, Y2 + VPXOR 544(AX), Y12, Y3 + VPXOR 256(AX), Y13, Y4 + VPSLLQ $0x1b, Y0, Y5 + VPSLLQ $0x24, Y1, Y6 + VPSLLQ $0x0a, Y2, Y7 + VPSLLQ $0x0f, Y3, Y8 + VPSLLQ $0x38, Y4, Y9 + VPSRLQ $0x25, Y0, Y0 + VPSRLQ $0x1c, Y1, Y1 + VPSRLQ $0x36, Y2, Y2 + VPSRLQ $0x31, Y3, Y3 + VPSRLQ $0x08, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 320(AX) + VMOVDQA Y6, 32(AX) + VMOVDQA Y7, 544(AX) + VMOVDQA Y8, 256(AX) + VMOVDQA Y9, 768(AX) + VPXOR 384(AX), Y12, Y0 + VPXOR 96(AX), Y13, Y1 + VPXOR 608(AX), Y14, Y2 + VPXOR 160(AX), Y10, Y3 + VPXOR 672(AX), Y11, Y4 + VPSLLQ $0x3e, Y0, Y5 + VPSLLQ $0x37, Y1, Y6 + VPSLLQ $0x27, Y2, Y7 + VPSLLQ $0x29, Y3, Y8 + VPSLLQ $0x02, Y4, Y9 + VPSRLQ $0x02, Y0, Y0 + VPSRLQ $0x09, Y1, Y1 + VPSRLQ $0x19, Y2, Y2 + VPSRLQ $0x17, Y3, Y3 + VPSRLQ $0x3e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 160(AX) + VMOVDQA Y6, 672(AX) + VMOVDQA Y7, 384(AX) + VMOVDQA Y8, 96(AX) + VMOVDQA Y9, 608(AX) + VMOVDQA (AX), Y0 + VMOVDQA 32(AX), Y1 + VMOVDQA 64(AX), Y2 + VMOVDQA 96(AX), Y3 + VMOVDQA 128(AX), Y4 + VPXOR 160(AX), Y0, Y0 + VPXOR 192(AX), Y1, Y1 + VPXOR 224(AX), Y2, Y2 + VPXOR 256(AX), Y3, Y3 + VPXOR 288(AX), Y4, Y4 + VPXOR 320(AX), Y0, Y0 + VPXOR 352(AX), Y1, Y1 + VPXOR 384(AX), Y2, Y2 + VPXOR 416(AX), Y3, Y3 + VPXOR 448(AX), Y4, Y4 + VPXOR 480(AX), Y0, Y0 + VPXOR 512(AX), Y1, Y1 + VPXOR 544(AX), Y2, Y2 + VPXOR 576(AX), Y3, Y3 + VPXOR 608(AX), Y4, Y4 + VPXOR 640(AX), Y0, Y0 + VPXOR 672(AX), Y1, Y1 + VPXOR 704(AX), Y2, Y2 + VPXOR 736(AX), Y3, Y3 + VPXOR 768(AX), Y4, Y4 + VPSLLQ $0x01, Y1, Y5 + VPSLLQ $0x01, Y2, Y6 + VPSLLQ $0x01, Y3, Y7 + VPSLLQ $0x01, Y4, Y8 + VPSLLQ $0x01, Y0, Y9 + VPSRLQ $0x3f, Y1, Y10 + VPSRLQ $0x3f, Y2, Y11 + VPSRLQ $0x3f, Y3, Y12 + VPSRLQ $0x3f, Y4, Y13 + VPSRLQ $0x3f, Y0, Y14 + VPOR Y5, Y10, Y10 + VPOR Y6, Y11, Y11 + VPOR Y7, Y12, Y12 + VPOR Y8, Y13, Y13 + VPOR Y9, Y14, Y14 + VPXOR Y10, Y4, Y10 + VPXOR Y11, Y0, Y11 + VPXOR Y12, Y1, Y12 + VPXOR Y13, Y2, Y13 + VPXOR Y14, Y3, Y14 + VPXOR (AX), Y10, Y0 + VPXOR 352(AX), Y11, Y1 + VPXOR 704(AX), Y12, Y2 + VPXOR 256(AX), Y13, Y3 + VPXOR 608(AX), Y14, Y4 + VPSLLQ $0x2c, Y1, Y6 + VPSLLQ $0x2b, Y2, Y7 + VPSLLQ $0x15, Y3, Y8 + VPSLLQ $0x0e, Y4, Y9 + VPSRLQ $0x14, Y1, Y1 + VPSRLQ $0x15, Y2, Y2 + VPSRLQ $0x2b, Y3, Y3 + VPSRLQ $0x32, Y4, Y4 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VPBROADCASTQ 16(CX), Y0 + VPXOR Y0, Y5, Y5 + VMOVDQA Y5, (AX) + VMOVDQA Y6, 352(AX) + VMOVDQA Y7, 704(AX) + VMOVDQA Y8, 256(AX) + VMOVDQA Y9, 608(AX) + VPXOR 736(AX), Y13, Y0 + VPXOR 288(AX), Y14, Y1 + VPXOR 480(AX), Y10, Y2 + VPXOR 32(AX), Y11, Y3 + VPXOR 384(AX), Y12, Y4 + VPSLLQ $0x1c, Y0, Y5 + VPSLLQ $0x14, Y1, Y6 + VPSLLQ $0x03, Y2, Y7 + VPSLLQ $0x2d, Y3, Y8 + VPSLLQ $0x3d, Y4, Y9 + VPSRLQ $0x24, Y0, Y0 + VPSRLQ $0x2c, Y1, Y1 + VPSRLQ $0x3d, Y2, Y2 + VPSRLQ $0x13, Y3, Y3 + VPSRLQ $0x03, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 480(AX) + VMOVDQA Y6, 32(AX) + VMOVDQA Y7, 384(AX) + VMOVDQA Y8, 736(AX) + VMOVDQA Y9, 288(AX) + VPXOR 512(AX), Y11, Y0 + VPXOR 64(AX), Y12, Y1 + VPXOR 416(AX), Y13, Y2 + VPXOR 768(AX), Y14, Y3 + VPXOR 160(AX), Y10, Y4 + VPSLLQ $0x01, Y0, Y5 + VPSLLQ $0x06, Y1, Y6 + VPSLLQ $0x19, Y2, Y7 + VPSLLQ $0x08, Y3, Y8 + VPSLLQ $0x12, Y4, Y9 + VPSRLQ $0x3f, Y0, Y0 + VPSRLQ $0x3a, Y1, Y1 + VPSRLQ $0x27, Y2, Y2 + VPSRLQ $0x38, Y3, Y3 + VPSRLQ $0x2e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 160(AX) + VMOVDQA Y6, 512(AX) + VMOVDQA Y7, 64(AX) + VMOVDQA Y8, 416(AX) + VMOVDQA Y9, 768(AX) + VPXOR 448(AX), Y14, Y0 + VPXOR 640(AX), Y10, Y1 + VPXOR 192(AX), Y11, Y2 + VPXOR 544(AX), Y12, Y3 + VPXOR 96(AX), Y13, Y4 + VPSLLQ $0x1b, Y0, Y5 + VPSLLQ $0x24, Y1, Y6 + VPSLLQ $0x0a, Y2, Y7 + VPSLLQ $0x0f, Y3, Y8 + VPSLLQ $0x38, Y4, Y9 + VPSRLQ $0x25, Y0, Y0 + VPSRLQ $0x1c, Y1, Y1 + VPSRLQ $0x36, Y2, Y2 + VPSRLQ $0x31, Y3, Y3 + VPSRLQ $0x08, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 640(AX) + VMOVDQA Y6, 192(AX) + VMOVDQA Y7, 544(AX) + VMOVDQA Y8, 96(AX) + VMOVDQA Y9, 448(AX) + VPXOR 224(AX), Y12, Y0 + VPXOR 576(AX), Y13, Y1 + VPXOR 128(AX), Y14, Y2 + VPXOR 320(AX), Y10, Y3 + VPXOR 672(AX), Y11, Y4 + VPSLLQ $0x3e, Y0, Y5 + VPSLLQ $0x37, Y1, Y6 + VPSLLQ $0x27, Y2, Y7 + VPSLLQ $0x29, Y3, Y8 + VPSLLQ $0x02, Y4, Y9 + VPSRLQ $0x02, Y0, Y0 + VPSRLQ $0x09, Y1, Y1 + VPSRLQ $0x19, Y2, Y2 + VPSRLQ $0x17, Y3, Y3 + VPSRLQ $0x3e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 320(AX) + VMOVDQA Y6, 672(AX) + VMOVDQA Y7, 224(AX) + VMOVDQA Y8, 576(AX) + VMOVDQA Y9, 128(AX) + VMOVDQA (AX), Y0 + VMOVDQA 32(AX), Y1 + VMOVDQA 64(AX), Y2 + VMOVDQA 96(AX), Y3 + VMOVDQA 128(AX), Y4 + VPXOR 160(AX), Y0, Y0 + VPXOR 192(AX), Y1, Y1 + VPXOR 224(AX), Y2, Y2 + VPXOR 256(AX), Y3, Y3 + VPXOR 288(AX), Y4, Y4 + VPXOR 320(AX), Y0, Y0 + VPXOR 352(AX), Y1, Y1 + VPXOR 384(AX), Y2, Y2 + VPXOR 416(AX), Y3, Y3 + VPXOR 448(AX), Y4, Y4 + VPXOR 480(AX), Y0, Y0 + VPXOR 512(AX), Y1, Y1 + VPXOR 544(AX), Y2, Y2 + VPXOR 576(AX), Y3, Y3 + VPXOR 608(AX), Y4, Y4 + VPXOR 640(AX), Y0, Y0 + VPXOR 672(AX), Y1, Y1 + VPXOR 704(AX), Y2, Y2 + VPXOR 736(AX), Y3, Y3 + VPXOR 768(AX), Y4, Y4 + VPSLLQ $0x01, Y1, Y5 + VPSLLQ $0x01, Y2, Y6 + VPSLLQ $0x01, Y3, Y7 + VPSLLQ $0x01, Y4, Y8 + VPSLLQ $0x01, Y0, Y9 + VPSRLQ $0x3f, Y1, Y10 + VPSRLQ $0x3f, Y2, Y11 + VPSRLQ $0x3f, Y3, Y12 + VPSRLQ $0x3f, Y4, Y13 + VPSRLQ $0x3f, Y0, Y14 + VPOR Y5, Y10, Y10 + VPOR Y6, Y11, Y11 + VPOR Y7, Y12, Y12 + VPOR Y8, Y13, Y13 + VPOR Y9, Y14, Y14 + VPXOR Y10, Y4, Y10 + VPXOR Y11, Y0, Y11 + VPXOR Y12, Y1, Y12 + VPXOR Y13, Y2, Y13 + VPXOR Y14, Y3, Y14 + VPXOR (AX), Y10, Y0 + VPXOR 32(AX), Y11, Y1 + VPXOR 64(AX), Y12, Y2 + VPXOR 96(AX), Y13, Y3 + VPXOR 128(AX), Y14, Y4 + VPSLLQ $0x2c, Y1, Y6 + VPSLLQ $0x2b, Y2, Y7 + VPSLLQ $0x15, Y3, Y8 + VPSLLQ $0x0e, Y4, Y9 + VPSRLQ $0x14, Y1, Y1 + VPSRLQ $0x15, Y2, Y2 + VPSRLQ $0x2b, Y3, Y3 + VPSRLQ $0x32, Y4, Y4 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VPBROADCASTQ 24(CX), Y0 + VPXOR Y0, Y5, Y5 + VMOVDQA Y5, (AX) + VMOVDQA Y6, 32(AX) + VMOVDQA Y7, 64(AX) + VMOVDQA Y8, 96(AX) + VMOVDQA Y9, 128(AX) + VPXOR 256(AX), Y13, Y0 + VPXOR 288(AX), Y14, Y1 + VPXOR 160(AX), Y10, Y2 + VPXOR 192(AX), Y11, Y3 + VPXOR 224(AX), Y12, Y4 + VPSLLQ $0x1c, Y0, Y5 + VPSLLQ $0x14, Y1, Y6 + VPSLLQ $0x03, Y2, Y7 + VPSLLQ $0x2d, Y3, Y8 + VPSLLQ $0x3d, Y4, Y9 + VPSRLQ $0x24, Y0, Y0 + VPSRLQ $0x2c, Y1, Y1 + VPSRLQ $0x3d, Y2, Y2 + VPSRLQ $0x13, Y3, Y3 + VPSRLQ $0x03, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 160(AX) + VMOVDQA Y6, 192(AX) + VMOVDQA Y7, 224(AX) + VMOVDQA Y8, 256(AX) + VMOVDQA Y9, 288(AX) + VPXOR 352(AX), Y11, Y0 + VPXOR 384(AX), Y12, Y1 + VPXOR 416(AX), Y13, Y2 + VPXOR 448(AX), Y14, Y3 + VPXOR 320(AX), Y10, Y4 + VPSLLQ $0x01, Y0, Y5 + VPSLLQ $0x06, Y1, Y6 + VPSLLQ $0x19, Y2, Y7 + VPSLLQ $0x08, Y3, Y8 + VPSLLQ $0x12, Y4, Y9 + VPSRLQ $0x3f, Y0, Y0 + VPSRLQ $0x3a, Y1, Y1 + VPSRLQ $0x27, Y2, Y2 + VPSRLQ $0x38, Y3, Y3 + VPSRLQ $0x2e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 320(AX) + VMOVDQA Y6, 352(AX) + VMOVDQA Y7, 384(AX) + VMOVDQA Y8, 416(AX) + VMOVDQA Y9, 448(AX) + VPXOR 608(AX), Y14, Y0 + VPXOR 480(AX), Y10, Y1 + VPXOR 512(AX), Y11, Y2 + VPXOR 544(AX), Y12, Y3 + VPXOR 576(AX), Y13, Y4 + VPSLLQ $0x1b, Y0, Y5 + VPSLLQ $0x24, Y1, Y6 + VPSLLQ $0x0a, Y2, Y7 + VPSLLQ $0x0f, Y3, Y8 + VPSLLQ $0x38, Y4, Y9 + VPSRLQ $0x25, Y0, Y0 + VPSRLQ $0x1c, Y1, Y1 + VPSRLQ $0x36, Y2, Y2 + VPSRLQ $0x31, Y3, Y3 + VPSRLQ $0x08, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 480(AX) + VMOVDQA Y6, 512(AX) + VMOVDQA Y7, 544(AX) + VMOVDQA Y8, 576(AX) + VMOVDQA Y9, 608(AX) + VPXOR 704(AX), Y12, Y0 + VPXOR 736(AX), Y13, Y1 + VPXOR 768(AX), Y14, Y2 + VPXOR 640(AX), Y10, Y3 + VPXOR 672(AX), Y11, Y4 + VPSLLQ $0x3e, Y0, Y5 + VPSLLQ $0x37, Y1, Y6 + VPSLLQ $0x27, Y2, Y7 + VPSLLQ $0x29, Y3, Y8 + VPSLLQ $0x02, Y4, Y9 + VPSRLQ $0x02, Y0, Y0 + VPSRLQ $0x09, Y1, Y1 + VPSRLQ $0x19, Y2, Y2 + VPSRLQ $0x17, Y3, Y3 + VPSRLQ $0x3e, Y4, Y4 + VPOR Y5, Y0, Y0 + VPOR Y6, Y1, Y1 + VPOR Y7, Y2, Y2 + VPOR Y8, Y3, Y3 + VPOR Y9, Y4, Y4 + VPANDN Y2, Y1, Y5 + VPANDN Y3, Y2, Y6 + VPANDN Y4, Y3, Y7 + VPANDN Y0, Y4, Y8 + VPANDN Y1, Y0, Y9 + VPXOR Y0, Y5, Y5 + VPXOR Y1, Y6, Y6 + VPXOR Y2, Y7, Y7 + VPXOR Y3, Y8, Y8 + VPXOR Y4, Y9, Y9 + VMOVDQA Y5, 640(AX) + VMOVDQA Y6, 672(AX) + VMOVDQA Y7, 704(AX) + VMOVDQA Y8, 736(AX) + VMOVDQA Y9, 768(AX) + ADDQ $0x20, CX + SUBQ $0x00000001, DX + JNZ loop + RET diff --git a/src/circl/simd/keccakf1600/f1600x4_test.go b/src/circl/simd/keccakf1600/f1600x4_test.go new file mode 100644 index 00000000000..866a1ae2a1d --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x4_test.go @@ -0,0 +1,57 @@ +package keccakf1600 + +import "testing" + +// From the Keccak code package. +var permutationOfZeroes = [25]uint64{ + 0xF1258F7940E1DDE7, 0x84D5CCF933C0478A, 0xD598261EA65AA9EE, + 0xBD1547306F80494D, 0x8B284E056253D057, 0xFF97A42D7F8E6FD4, + 0x90FEE5A0A44647C4, 0x8C5BDA0CD6192E76, 0xAD30A6F71B19059C, + 0x30935AB7D08FFC64, 0xEB5AA93F2317D635, 0xA9A6E6260D712103, + 0x81A57C16DBCF555F, 0x43B831CD0347C826, 0x01F22F1A11A5569F, + 0x05E5635A21D9AE61, 0x64BEFEF28CC970F2, 0x613670957BC46611, + 0xB87C5A554FD00ECB, 0x8C3EE88A1CCF32C8, 0x940C7922AE3A2614, + 0x1841F924A2C509E4, 0x16F53526E70465C2, 0x75F644E97F30A13B, + 0xEAF1FF7B5CECA249, +} + +func TestKeccakF1600x4(t *testing.T) { + test := func(t *testing.T, f func(s *StateX4, a []uint64)) { + t.Helper() + var state StateX4 + a := state.Initialize() + f(&state, a) + for i := 0; i < 25; i++ { + for j := 0; j < 4; j++ { + if a[4*i+j] != permutationOfZeroes[i] { + t.Fatal() + } + } + } + } + + t.Run("Generic", func(t *testing.T) { + test(t, func(s *StateX4, a []uint64) { permuteScalar(a) }) + }) + t.Run("SIMD", func(t *testing.T) { + test(t, func(s *StateX4, a []uint64) { s.Permute() }) + }) +} + +func BenchmarkF1600x4(b *testing.B) { + benchmark := func(b *testing.B, f func(s *StateX4, a []uint64)) { + var state StateX4 + a := state.Initialize() + + for i := 0; i < b.N; i++ { + f(&state, a) + } + } + + b.Run("Generic", func(b *testing.B) { + benchmark(b, func(s *StateX4, a []uint64) { permuteScalar(a) }) + }) + b.Run("SIMD", func(b *testing.B) { + benchmark(b, func(s *StateX4, a []uint64) { s.Permute() }) + }) +} diff --git a/src/circl/simd/keccakf1600/f1600x4stubs_amd64.go b/src/circl/simd/keccakf1600/f1600x4stubs_amd64.go new file mode 100644 index 00000000000..2d633dbf49d --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x4stubs_amd64.go @@ -0,0 +1,8 @@ +// Code generated by command: go run src.go -out ../../f1600x4_amd64.s -stubs ../../f1600x4stubs_amd64.go -pkg keccakf1600. DO NOT EDIT. + +// +build amd64 + +package keccakf1600 + +//go:noescape +func f1600x4AVX2(state *uint64, rc *[24]uint64) diff --git a/src/circl/simd/keccakf1600/fallback.go b/src/circl/simd/keccakf1600/fallback.go new file mode 100644 index 00000000000..f4918011f94 --- /dev/null +++ b/src/circl/simd/keccakf1600/fallback.go @@ -0,0 +1,5 @@ +// +build !amd64 + +package keccakf1600 + +func permuteSIMD(state []uint64) { permuteScalar(state) } diff --git a/src/go/build/deps_test.go b/src/go/build/deps_test.go index c97c668cc49..52ed1a0a6bf 100644 --- a/src/go/build/deps_test.go +++ b/src/go/build/deps_test.go @@ -576,11 +576,11 @@ func TestDependencies(t *testing.T) { var bad []string for _, imp := range imports { sawImport[pkg][imp] = true - if !ok[imp] { + if !ok[imp] && !strings.HasPrefix(imp, "circl/") { bad = append(bad, imp) } } - if bad != nil { + if bad != nil && !strings.HasPrefix(pkg, "circl") { t.Errorf("unexpected dependency: %s imports %v", pkg, bad) } } From 19e3fdf775ed3b9b4a2be9d5cdc3877bd5842158 Mon Sep 17 00:00:00 2001 From: Bas Westerbaan Date: Wed, 22 Jul 2020 12:11:34 +0200 Subject: [PATCH 04/69] Add cfgo build tag --- src/cmd/go/internal/imports/tags.go | 1 + src/go/build/build.go | 3 +++ 2 files changed, 4 insertions(+) diff --git a/src/cmd/go/internal/imports/tags.go b/src/cmd/go/internal/imports/tags.go index 01b448b9142..277c36ab7fe 100644 --- a/src/cmd/go/internal/imports/tags.go +++ b/src/cmd/go/internal/imports/tags.go @@ -39,6 +39,7 @@ func loadTags() map[string]bool { for _, tag := range cfg.BuildContext.ReleaseTags { tags[tag] = true } + tags["cfgo"] = true return tags } diff --git a/src/go/build/build.go b/src/go/build/build.go index 217fadf5bd4..c22d778a943 100644 --- a/src/go/build/build.go +++ b/src/go/build/build.go @@ -1879,6 +1879,9 @@ func (ctxt *Context) match(name string, allTags map[string]bool) bool { if ctxt.CgoEnabled && name == "cgo" { return true } + if name == "cfgo" { + return true + } if name == ctxt.GOOS || name == ctxt.GOARCH || name == ctxt.Compiler { return true } From 3ed7bfb63927799e2cde062da8a3712d420579d2 Mon Sep 17 00:00:00 2001 From: Bas Westerbaan Date: Wed, 22 Jul 2020 12:12:30 +0200 Subject: [PATCH 05/69] Add cf tag to VERSION --- VERSION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/VERSION b/VERSION index 166e7aec71a..c71ed7040d3 100644 --- a/VERSION +++ b/VERSION @@ -1 +1 @@ -go1.16 \ No newline at end of file +go1.16-devel-cf From 36f08d3a47fd9ff391ff43c4e090715d655f5564 Mon Sep 17 00:00:00 2001 From: Bas Westerbaan Date: Wed, 19 Aug 2020 11:37:14 +0200 Subject: [PATCH 06/69] circl: Update --- src/circl/.github/workflows/ci-actions.yml | 6 +- src/circl/pki/pki.go | 180 ++++++++ src/circl/pki/pki_test.go | 56 +++ src/circl/sign/dilithium/mode1/dilithium.go | 18 + .../dilithium/mode1/internal/dilithium.go | 27 ++ .../mode1/internal/dilithium_test.go | 26 +- .../sign/dilithium/mode1/internal/sample.go | 5 +- .../sign/dilithium/mode1aes/dilithium.go | 18 + .../dilithium/mode1aes/internal/dilithium.go | 27 ++ .../mode1aes/internal/dilithium_test.go | 26 +- .../dilithium/mode1aes/internal/sample.go | 5 +- src/circl/sign/dilithium/mode2/dilithium.go | 18 + .../dilithium/mode2/internal/dilithium.go | 27 ++ .../mode2/internal/dilithium_test.go | 26 +- .../sign/dilithium/mode2/internal/sample.go | 5 +- .../sign/dilithium/mode2aes/dilithium.go | 18 + .../dilithium/mode2aes/internal/dilithium.go | 27 ++ .../mode2aes/internal/dilithium_test.go | 26 +- .../dilithium/mode2aes/internal/sample.go | 5 +- src/circl/sign/dilithium/mode3/dilithium.go | 18 + .../dilithium/mode3/internal/dilithium.go | 27 ++ .../mode3/internal/dilithium_test.go | 26 +- .../sign/dilithium/mode3/internal/sample.go | 5 +- .../sign/dilithium/mode3aes/dilithium.go | 18 + .../dilithium/mode3aes/internal/dilithium.go | 27 ++ .../mode3aes/internal/dilithium_test.go | 26 +- .../dilithium/mode3aes/internal/sample.go | 5 +- src/circl/sign/dilithium/mode4/dilithium.go | 18 + .../dilithium/mode4/internal/dilithium.go | 27 ++ .../mode4/internal/dilithium_test.go | 26 +- .../sign/dilithium/mode4/internal/sample.go | 5 +- .../sign/dilithium/mode4aes/dilithium.go | 18 + .../dilithium/mode4aes/internal/dilithium.go | 27 ++ .../mode4aes/internal/dilithium_test.go | 26 +- .../dilithium/mode4aes/internal/sample.go | 5 +- src/circl/sign/doc.go | 2 - src/circl/sign/ed25519/ed25519.go | 318 +++++++++----- src/circl/sign/ed25519/ed25519_test.go | 413 +++--------------- src/circl/sign/ed25519/extra_test.go | 249 +++++++++++ src/circl/sign/ed25519/pubkey.go | 8 + src/circl/sign/ed25519/pubkey112.go | 6 + src/circl/sign/ed25519/rfc8032_test.go | 28 +- src/circl/sign/ed25519/signapi.go | 84 ++++ src/circl/sign/ed25519/wycheproof_test.go | 12 +- src/circl/sign/ed448/ed448.go | 257 +++++++---- src/circl/sign/ed448/ed448_test.go | 296 ++++++------- src/circl/sign/ed448/rfc8032_test.go | 11 +- src/circl/sign/ed448/signapi.go | 84 ++++ src/circl/sign/ed448/wycheproof_test.go | 12 +- src/circl/sign/eddilithium3/eddilithium.go | 38 +- .../sign/eddilithium3/eddilithium_test.go | 18 +- src/circl/sign/eddilithium3/signapi.go | 90 ++++ src/circl/sign/eddilithium4/eddilithium.go | 50 ++- src/circl/sign/eddilithium4/signapi.go | 90 ++++ src/circl/sign/schemes/schemes.go | 39 ++ src/circl/sign/schemes/schemes_test.go | 109 +++++ src/circl/sign/sign.go | 107 +++++ 57 files changed, 2247 insertions(+), 924 deletions(-) create mode 100644 src/circl/pki/pki.go create mode 100644 src/circl/pki/pki_test.go delete mode 100644 src/circl/sign/doc.go create mode 100644 src/circl/sign/ed25519/extra_test.go create mode 100644 src/circl/sign/ed25519/pubkey.go create mode 100644 src/circl/sign/ed25519/pubkey112.go create mode 100644 src/circl/sign/ed25519/signapi.go create mode 100644 src/circl/sign/ed448/signapi.go create mode 100644 src/circl/sign/eddilithium3/signapi.go create mode 100644 src/circl/sign/eddilithium4/signapi.go create mode 100644 src/circl/sign/schemes/schemes.go create mode 100644 src/circl/sign/schemes/schemes_test.go create mode 100644 src/circl/sign/sign.go diff --git a/src/circl/.github/workflows/ci-actions.yml b/src/circl/.github/workflows/ci-actions.yml index e91d3604d37..61f5b445196 100644 --- a/src/circl/.github/workflows/ci-actions.yml +++ b/src/circl/.github/workflows/ci-actions.yml @@ -12,7 +12,7 @@ jobs: runs-on: ubuntu-18.04 strategy: matrix: - GOVER: ['1.14', '1.13', '1.12'] + GOVER: ['1.15', '1.14', '1.13', '1.12'] steps: - name: Checkout uses: actions/checkout@v2 @@ -38,7 +38,7 @@ jobs: runs-on: ubuntu-18.04 strategy: matrix: - CFG: [ [arm64,arm64v8,1.14] ] + CFG: [ [arm64,arm64v8,1.15] ] steps: - uses: actions/checkout@v2 - name: Enabling Docker Experimental @@ -64,7 +64,7 @@ jobs: - name: Setup Go uses: actions/setup-go@v2 with: - go-version: '1.14' + go-version: '1.15' - name: Produce Coverage run: go test -race -coverprofile=./coverage.txt -covermode=atomic ./... - name: Upload Codecov diff --git a/src/circl/pki/pki.go b/src/circl/pki/pki.go new file mode 100644 index 00000000000..b6a49e69ad2 --- /dev/null +++ b/src/circl/pki/pki.go @@ -0,0 +1,180 @@ +package pki + +import ( + "crypto/x509/pkix" + "encoding/asn1" + "encoding/pem" + "errors" + "strings" + + "circl/sign" + "circl/sign/schemes" +) + +var allSchemesByOID map[string]sign.Scheme +var allSchemesByTLS map[uint]sign.Scheme + +type pkixPrivKey struct { + Version int + Algorithm pkix.AlgorithmIdentifier + PrivateKey []byte +} + +func init() { + allSchemesByOID = make(map[string]sign.Scheme) + allSchemesByTLS = make(map[uint]sign.Scheme) + for _, scheme := range schemes.All() { + if cert, ok := scheme.(CertificateScheme); ok { + allSchemesByOID[cert.Oid().String()] = scheme + } + if tlsScheme, ok := scheme.(TLSScheme); ok { + allSchemesByTLS[tlsScheme.TLSIdentifier()] = scheme + } + } +} + +func SchemeByOid(oid asn1.ObjectIdentifier) sign.Scheme { return allSchemesByOID[oid.String()] } + +func SchemeByTLSID(id uint) sign.Scheme { return allSchemesByTLS[id] } + +// Additional methods when the signature scheme is supported in X509. +type CertificateScheme interface { + // Return the appropriate OIDs for this instance. It is implicitly + // assumed that the encoding is simple: e.g. uses the same OID for + // signature and public key like Ed25519. + Oid() asn1.ObjectIdentifier +} + +// Additional methods when the signature scheme is supported in TLS. +type TLSScheme interface { + TLSIdentifier() uint +} + +func UnmarshalPEMPublicKey(data []byte) (sign.PublicKey, error) { + block, rest := pem.Decode(data) + if len(rest) != 0 { + return nil, errors.New("trailing data") + } + if !strings.HasSuffix(block.Type, "PUBLIC KEY") { + return nil, errors.New("pem block type is not public key") + } + + return UnmarshalPKIXPublicKey(block.Bytes) +} + +func UnmarshalPKIXPublicKey(data []byte) (sign.PublicKey, error) { + var pkix struct { + Raw asn1.RawContent + Algorithm pkix.AlgorithmIdentifier + PublicKey asn1.BitString + } + if rest, err := asn1.Unmarshal(data, &pkix); err != nil { + return nil, err + } else if len(rest) != 0 { + return nil, errors.New("trailing data") + } + scheme := SchemeByOid(pkix.Algorithm.Algorithm) + if scheme == nil { + return nil, errors.New("unsupported public key algorithm") + } + return scheme.UnmarshalBinaryPublicKey(pkix.PublicKey.RightAlign()) +} + +func UnmarshalPEMPrivateKey(data []byte) (sign.PrivateKey, error) { + block, rest := pem.Decode(data) + if len(rest) != 0 { + return nil, errors.New("trailing") + } + if !strings.HasSuffix(block.Type, "PRIVATE KEY") { + return nil, errors.New("pem block type is not private key") + } + + return UnmarshalPKIXPrivateKey(block.Bytes) +} + +func UnmarshalPKIXPrivateKey(data []byte) (sign.PrivateKey, error) { + var pkix pkixPrivKey + if rest, err := asn1.Unmarshal(data, &pkix); err != nil { + return nil, err + } else if len(rest) != 0 { + return nil, errors.New("trailing data") + } + scheme := SchemeByOid(pkix.Algorithm.Algorithm) + if scheme == nil { + return nil, errors.New("unsupported public key algorithm") + } + var sk []byte + if rest, err := asn1.Unmarshal(pkix.PrivateKey, &sk); err != nil { + return nil, err + } else if len(rest) > 0 { + return nil, errors.New("trailing data") + } + return scheme.UnmarshalBinaryPrivateKey(sk) +} + +func MarshalPEMPublicKey(pk sign.PublicKey) ([]byte, error) { + data, err := MarshalPKIXPublicKey(pk) + if err != nil { + return nil, err + } + str := pem.EncodeToMemory(&pem.Block{ + Type: "PUBLIC KEY", + Bytes: data, + }) + return str, nil +} + +func MarshalPKIXPublicKey(pk sign.PublicKey) ([]byte, error) { + data, err := pk.MarshalBinary() + if err != nil { + return nil, err + } + + scheme := pk.Scheme() + return asn1.Marshal(struct { + pkix.AlgorithmIdentifier + asn1.BitString + }{ + pkix.AlgorithmIdentifier{ + Algorithm: scheme.(CertificateScheme).Oid(), + }, + asn1.BitString{ + Bytes: data, + BitLength: len(data) * 8, + }, + }) +} + +func MarshalPEMPrivateKey(sk sign.PrivateKey) ([]byte, error) { + data, err := MarshalPKIXPrivateKey(sk) + if err != nil { + return nil, err + } + str := pem.EncodeToMemory(&pem.Block{ + Type: sk.Scheme().Name() + " PRIVATE KEY", + Bytes: data, + }, + ) + return str, nil +} + +func MarshalPKIXPrivateKey(sk sign.PrivateKey) ([]byte, error) { + data, err := sk.MarshalBinary() + if err != nil { + return nil, err + } + + data, err = asn1.Marshal(data) + if err != nil { + return nil, err + } + + scheme := sk.Scheme() + return asn1.Marshal(pkixPrivKey{ + 0, + pkix.AlgorithmIdentifier{ + Algorithm: scheme.(CertificateScheme).Oid(), + }, + data, + }) +} diff --git a/src/circl/pki/pki_test.go b/src/circl/pki/pki_test.go new file mode 100644 index 00000000000..208544ce3e8 --- /dev/null +++ b/src/circl/pki/pki_test.go @@ -0,0 +1,56 @@ +package pki_test + +import ( + "testing" + + "circl/pki" + "circl/sign/schemes" +) + +func TestPEM(t *testing.T) { + for _, scheme := range schemes.All() { + scheme := scheme + t.Run(scheme.Name(), func(t *testing.T) { + if scheme == nil { + t.Fatal() + } + + _, ok := scheme.(pki.CertificateScheme) + if !ok { + return + } + + pk, sk, err := scheme.GenerateKey() + if err != nil { + t.Fatal(err) + } + + packedPk, err := pki.MarshalPEMPublicKey(pk) + if err != nil { + t.Fatal(err) + } + + pk2, err := pki.UnmarshalPEMPublicKey(packedPk) + if err != nil { + t.Fatal(err) + } + if !pk.Equal(pk2) { + t.Fatal() + } + + packedSk, err := pki.MarshalPEMPrivateKey(sk) + if err != nil { + t.Fatal(err) + } + + sk2, err := pki.UnmarshalPEMPrivateKey(packedSk) + if err != nil { + t.Fatal(err) + } + + if !sk.Equal(sk2) { + t.Fatal() + } + }) + } +} diff --git a/src/circl/sign/dilithium/mode1/dilithium.go b/src/circl/sign/dilithium/mode1/dilithium.go index 753ab74424a..193fe67ccce 100644 --- a/src/circl/sign/dilithium/mode1/dilithium.go +++ b/src/circl/sign/dilithium/mode1/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode1/internal/dilithium.go b/src/circl/sign/dilithium/mode1/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode1/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode1/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode1/internal/dilithium_test.go b/src/circl/sign/dilithium/mode1/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode1/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode1/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode1/internal/sample.go b/src/circl/sign/dilithium/mode1/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode1/internal/sample.go +++ b/src/circl/sign/dilithium/mode1/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/dilithium/mode1aes/dilithium.go b/src/circl/sign/dilithium/mode1aes/dilithium.go index f6cf74ef011..08d3565e16b 100644 --- a/src/circl/sign/dilithium/mode1aes/dilithium.go +++ b/src/circl/sign/dilithium/mode1aes/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/dilithium.go b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode1aes/internal/sample.go b/src/circl/sign/dilithium/mode1aes/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode1aes/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/dilithium/mode2/dilithium.go b/src/circl/sign/dilithium/mode2/dilithium.go index b31ce924ba6..d1fa999ab6a 100644 --- a/src/circl/sign/dilithium/mode2/dilithium.go +++ b/src/circl/sign/dilithium/mode2/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode2/internal/dilithium.go b/src/circl/sign/dilithium/mode2/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode2/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode2/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode2/internal/dilithium_test.go b/src/circl/sign/dilithium/mode2/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode2/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode2/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode2/internal/sample.go b/src/circl/sign/dilithium/mode2/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode2/internal/sample.go +++ b/src/circl/sign/dilithium/mode2/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/dilithium/mode2aes/dilithium.go b/src/circl/sign/dilithium/mode2aes/dilithium.go index fab3e2b383c..aaf3d4f987c 100644 --- a/src/circl/sign/dilithium/mode2aes/dilithium.go +++ b/src/circl/sign/dilithium/mode2aes/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/dilithium.go b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode2aes/internal/sample.go b/src/circl/sign/dilithium/mode2aes/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode2aes/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/dilithium/mode3/dilithium.go b/src/circl/sign/dilithium/mode3/dilithium.go index dde378bd75e..bcadea2f8d2 100644 --- a/src/circl/sign/dilithium/mode3/dilithium.go +++ b/src/circl/sign/dilithium/mode3/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode3/internal/dilithium.go b/src/circl/sign/dilithium/mode3/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode3/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode3/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode3/internal/dilithium_test.go b/src/circl/sign/dilithium/mode3/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode3/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode3/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode3/internal/sample.go b/src/circl/sign/dilithium/mode3/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode3/internal/sample.go +++ b/src/circl/sign/dilithium/mode3/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/dilithium/mode3aes/dilithium.go b/src/circl/sign/dilithium/mode3aes/dilithium.go index 5d4d049b2dd..a2a3b03359d 100644 --- a/src/circl/sign/dilithium/mode3aes/dilithium.go +++ b/src/circl/sign/dilithium/mode3aes/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/dilithium.go b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode3aes/internal/sample.go b/src/circl/sign/dilithium/mode3aes/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode3aes/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/dilithium/mode4/dilithium.go b/src/circl/sign/dilithium/mode4/dilithium.go index 077547bfc40..b880ad09411 100644 --- a/src/circl/sign/dilithium/mode4/dilithium.go +++ b/src/circl/sign/dilithium/mode4/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode4/internal/dilithium.go b/src/circl/sign/dilithium/mode4/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode4/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode4/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode4/internal/dilithium_test.go b/src/circl/sign/dilithium/mode4/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode4/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode4/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode4/internal/sample.go b/src/circl/sign/dilithium/mode4/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode4/internal/sample.go +++ b/src/circl/sign/dilithium/mode4/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/dilithium/mode4aes/dilithium.go b/src/circl/sign/dilithium/mode4aes/dilithium.go index b5fac047da7..7f831d38625 100644 --- a/src/circl/sign/dilithium/mode4aes/dilithium.go +++ b/src/circl/sign/dilithium/mode4aes/dilithium.go @@ -171,3 +171,21 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( func (sk *PrivateKey) Public() crypto.PublicKey { return (*PublicKey)((*internal.PrivateKey)(sk).Public()) } + +// Equal returns whether the two private keys equal. +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(castOther)) +} + +// Equal returns whether the two public keys equal. +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return (*internal.PublicKey)(pk).Equal((*internal.PublicKey)(castOther)) +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/dilithium.go b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go index 20e4ab2547b..28b2b8f1362 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go @@ -2,6 +2,7 @@ package internal import ( cryptoRand "crypto/rand" + "crypto/subtle" "io" "circl/internal/shake" @@ -415,3 +416,29 @@ func (sk *PrivateKey) Public() *PublicKey { pk.t1.PackT1(pk.t1p[:]) return pk } + +// Equal returns whether the two public keys are equal +func (pk *PublicKey) Equal(other *PublicKey) bool { + return pk.rho == other.rho && pk.t1 == other.t1 +} + +// Equal returns whether the two private keys are equal +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := (subtle.ConstantTimeCompare(sk.rho[:], other.rho[:]) & + subtle.ConstantTimeCompare(sk.key[:], other.key[:]) & + subtle.ConstantTimeCompare(sk.tr[:], other.tr[:])) + + acc := uint32(0) + for i := 0; i < L; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s1[i][j] ^ other.s1[i][j] + } + } + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + acc |= sk.s2[i][j] ^ other.s2[i][j] + acc |= sk.t0[i][j] ^ other.t0[i][j] + } + } + return (ret & subtle.ConstantTimeEq(int32(acc), 0)) == 1 +} diff --git a/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go index f4ba18dd121..52bf78d8c04 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go @@ -86,13 +86,16 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [common.SeedSize]byte var sig [SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [PublicKeySize]byte - var skb1, skb2 [PrivateKeySize]byte + var pkb [PublicKeySize]byte + var skb [PrivateKeySize]byte var pk2 PublicKey var sk2 PrivateKey for i := uint64(0); i < 100; i++ { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) + if !sk.Equal(sk) { + t.Fatal() + } for j := uint64(0); j < 10; j++ { binary.LittleEndian.PutUint64(msg[:], j) SignTo(sk, msg[:], sig[:]) @@ -100,16 +103,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } @@ -121,10 +122,7 @@ func TestPublicFromPrivate(t *testing.T) { binary.LittleEndian.PutUint64(seed[:], i) pk, sk := NewKeyFromSeed(&seed) pk2 := sk.Public() - var pkb1, pkb2 [PublicKeySize]byte - pk.Pack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + if !pk.Equal(pk2) { t.Fatal() } } diff --git a/src/circl/sign/dilithium/mode4aes/internal/sample.go b/src/circl/sign/dilithium/mode4aes/internal/sample.go index cdf36bced75..cd14ee368f8 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode4aes/internal/sample.go @@ -67,7 +67,6 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, if idx[j] == common.N { continue } - done = false for i := 0; i < 17; i++ { var t [4]uint32 @@ -101,6 +100,8 @@ func PolyDeriveUniformLeGamma1X4(ps [4]*common.Poly, seed *[48]byte, } } } + + done = false } } } @@ -149,7 +150,6 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { if idx[j] == common.N { continue } - done = false for i := 0; i < 7; i++ { var t [8]uint32 t[0] = uint32(state[i*3*4+j] & 0x7fffff) @@ -173,6 +173,7 @@ func PolyDeriveUniformX4(ps [4]*common.Poly, seed *[32]byte, nonces [4]uint16) { } } } + done = false } } } diff --git a/src/circl/sign/doc.go b/src/circl/sign/doc.go deleted file mode 100644 index d3fe8ef041e..00000000000 --- a/src/circl/sign/doc.go +++ /dev/null @@ -1,2 +0,0 @@ -// Package sign provides variety of digital signature schemes. -package sign diff --git a/src/circl/sign/ed25519/ed25519.go b/src/circl/sign/ed25519/ed25519.go index 6ade147389c..3056e830c12 100644 --- a/src/circl/sign/ed25519/ed25519.go +++ b/src/circl/sign/ed25519/ed25519.go @@ -1,9 +1,38 @@ // Package ed25519 implements Ed25519 signature scheme as described in RFC-8032. // -// References: -// - RFC8032 https://rfc-editor.org/rfc/rfc8032.txt -// - Ed25519 https://ed25519.cr.yp.to/ -// - High-speed high-security signatures. https://doi.org/10.1007/s13389-012-0027-1 +// This package provides optimized implementations of the three signature +// variants and maintaining closer compatiblilty with crypto/ed25519. +// +// | Scheme Name | Sign Function | Verification | Context | +// |-------------|-------------------|---------------|-------------------| +// | Ed25519 | Sign | Verify | None | +// | Ed25519Ph | SignPh | VerifyPh | Yes, can be empty | +// | Ed25519Ctx | SignWithCtx | VerifyWithCtx | Yes, non-empty | +// | All above | (PrivateKey).Sign | VerifyAny | As above | +// +// Specific functions for sign and verify are defined. A generic signing +// function for all schemes is available through the crypto.Signer interface, +// which is implemented by the PrivateKey type. A correspond all-in-one +// verification method is provided by the VerifyAny function. +// +// Signing with Ed25519Ph or Ed25519Ctx requires a context string for domain +// separation. This parameter is passed using a SignerOptions struct defined +// in this package. While Ed25519Ph accepts an empty context, Ed25519Ctx +// enforces non-empty context strings. +// +// Compatibility with crypto.ed25519 +// +// These functions are compatible with the “Ed25519” function defined in +// RFC-8032. However, unlike RFC 8032's formulation, this package's private +// key representation includes a public key suffix to make multiple signing +// operations with the same key more efficient. This package refers to the +// RFC-8032 private key as the “seed”. +// +// References +// +// - RFC-8032: https://rfc-editor.org/rfc/rfc8032.txt +// - Ed25519: https://ed25519.cr.yp.to/ +// - EdDSA: High-speed high-security signatures. https://doi.org/10.1007/s13389-012-0027-1 package ed25519 import ( @@ -11,134 +40,198 @@ import ( "crypto" cryptoRand "crypto/rand" "crypto/sha512" + "crypto/subtle" "errors" "fmt" "io" "strconv" + + "circl/sign" ) const ( - // PublicKeySize is the length in bytes of Ed25519 public keys. - PublicKeySize = 32 - // PrivateKeySize is the length in bytes of Ed25519 private keys. - PrivateKeySize = 32 - // SignatureSize is the length in bytes of signatures. - SignatureSize = 64 - // ContextMaxSize is the maximum length (in bytes) allowed for context. ContextMaxSize = 255 + // PublicKeySize is the size, in bytes, of public keys as used in this package. + PublicKeySize = 32 + // PrivateKeySize is the size, in bytes, of private keys as used in this package. + PrivateKeySize = 64 + // SignatureSize is the size, in bytes, of signatures generated and verified by this package. + SignatureSize = 64 + // SeedSize is the size, in bytes, of private key seeds. These are the private key representations used by RFC 8032. + SeedSize = 32 ) + const ( paramB = 256 / 8 // Size of keys in bytes. ) -// Options are the options that the ed25519 functions can take. -type Options struct { - // Hash can be crypto.Hash(0) for Ed25519/Ed25519ctx, or crypto.SHA512 +// SignerOptions implements crypto.SignerOpts and augments with parameters +// that are specific to the Ed25519 signature schemes. +type SignerOptions struct { + // Hash must be crypto.Hash(0) for Ed25519/Ed25519ctx, or crypto.SHA512 // for Ed25519ph. crypto.Hash // Context is an optional domain separation string for Ed25519ph and a - // must for Ed25519ctx. Its length must be less or equal than 255 bytes. + // must for Ed25519ctx. Its length must be less or equal than 255 bytes. Context string + + // Scheme is an identifier for choosing a signature scheme. The zero value + // is ED25519. + Scheme SchemeID } -// PublicKey represents a public key of Ed25519. -type PublicKey []byte +// SchemeID is an identifier for each signature scheme. +type SchemeID uint + +const ( + ED25519 SchemeID = iota + ED25519Ph + ED25519Ctx +) -// PrivateKey represents a private key of Ed25519. +// PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer. type PrivateKey []byte -// KeyPair implements crypto.Signer (golang.org/pkg/crypto/#Signer) interface. -type KeyPair struct { - private [PrivateKeySize]byte - public [PublicKeySize]byte +// Equal reports whether priv and x have the same value. +func (priv PrivateKey) Equal(x crypto.PrivateKey) bool { + xx, ok := x.(PrivateKey) + return ok && subtle.ConstantTimeCompare(priv, xx) == 1 } -// GetPrivate returns a copy of the private key. -func (kp *KeyPair) GetPrivate() PrivateKey { z := kp.private; return z[:] } +// Public returns the PublicKey corresponding to priv. +func (priv PrivateKey) Public() crypto.PublicKey { + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, priv[SeedSize:]) + return publicKey +} -// GetPublic returns a copy of the public key. -func (kp *KeyPair) GetPublic() PublicKey { z := kp.public; return z[:] } +// Seed returns the private key seed corresponding to priv. It is provided for +// interoperability with RFC 8032. RFC 8032's private keys correspond to seeds +// in this package. +func (priv PrivateKey) Seed() []byte { + seed := make([]byte, SeedSize) + copy(seed, priv[:SeedSize]) + return seed +} -// Seed returns the private key seed. -func (kp *KeyPair) Seed() []byte { return kp.GetPrivate() } +func (priv PrivateKey) Scheme() sign.Scheme { return Scheme } -// Public returns a crypto.PublicKey. -func (kp *KeyPair) Public() crypto.PublicKey { return kp.GetPublic() } +func (pub PublicKey) Scheme() sign.Scheme { return Scheme } -// Sign creates a signature of a message given a key pair. -// This function supports all the three signature variants defined in RFC-8032, -// namely Ed25519 (or pure EdDSA), Ed25519Ph, and Ed25519Ctx. +func (priv PrivateKey) MarshalBinary() (data []byte, err error) { + privateKey := make(PrivateKey, PrivateKeySize) + copy(privateKey, priv) + return privateKey, nil +} + +func (pub PublicKey) MarshalBinary() (data []byte, err error) { + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, pub) + return publicKey, nil +} + +// Equal reports whether pub and x have the same value. +func (pub PublicKey) Equal(x crypto.PublicKey) bool { + xx, ok := x.(PublicKey) + return ok && bytes.Equal(pub, xx) +} + +// Sign creates a signature of a message with priv key. +// This function is compatible with crypto.ed25519 and also supports the +// three signature variants defined in RFC-8032, namely Ed25519 (or pure +// EdDSA), Ed25519Ph, and Ed25519Ctx. // The opts.HashFunc() must return zero to specify either Ed25519 or Ed25519Ctx -// variant. This can be achieved by passing crypto.Hash(0) as the value for opts. +// variant. This can be achieved by passing crypto.Hash(0) as the value for +// opts. // The opts.HashFunc() must return SHA512 to specify the Ed25519Ph variant. // This can be achieved by passing crypto.SHA512 as the value for opts. -// Use an Options struct to pass a context string for signing. -func (kp *KeyPair) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) ([]byte, error) { +// Use a SignerOptions struct (defined in this package) to pass a context +// string for signing. +func (priv PrivateKey) Sign( + rand io.Reader, + message []byte, + opts crypto.SignerOpts) (signature []byte, err error) { var ctx string - if o, ok := opts.(*Options); ok { + var scheme SchemeID + if o, ok := opts.(SignerOptions); ok { ctx = o.Context + scheme = o.Scheme } - switch opts.HashFunc() { - case crypto.SHA512: - return kp.SignPh(message, ctx) - case crypto.Hash(0): - if len(ctx) > 0 { - return kp.SignWithCtx(message, ctx) - } - - return kp.SignPure(message) + switch true { + case scheme == ED25519 && opts.HashFunc() == crypto.Hash(0): + return Sign(priv, message), nil + case scheme == ED25519Ph && opts.HashFunc() == crypto.SHA512: + return SignPh(priv, message, ctx), nil + case scheme == ED25519Ctx && opts.HashFunc() == crypto.Hash(0) && len(ctx) > 0: + return SignWithCtx(priv, message, ctx), nil default: return nil, errors.New("ed25519: bad hash algorithm") } } -// GenerateKey produces public and private keys using entropy from rand. +// GenerateKey generates a public/private key pair using entropy from rand. // If rand is nil, crypto/rand.Reader will be used. -func GenerateKey(rand io.Reader) (*KeyPair, error) { +func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) { if rand == nil { rand = cryptoRand.Reader } - seed := make(PrivateKey, PrivateKeySize) + + seed := make([]byte, SeedSize) if _, err := io.ReadFull(rand, seed); err != nil { - return nil, err + return nil, nil, err } - return NewKeyFromSeed(seed), nil + + privateKey := NewKeyFromSeed(seed) + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + + return publicKey, privateKey, nil +} + +// NewKeyFromSeed calculates a private key from a seed. It will panic if +// len(seed) is not SeedSize. This function is provided for interoperability +// with RFC 8032. RFC 8032's private keys correspond to seeds in this +// package. +func NewKeyFromSeed(seed []byte) PrivateKey { + privateKey := make(PrivateKey, PrivateKeySize) + newKeyFromSeed(privateKey, seed) + return privateKey } -// NewKeyFromSeed generates a pair of Ed25519 keys given a private key. -func NewKeyFromSeed(seed PrivateKey) *KeyPair { - if len(seed) != PrivateKeySize { - panic("ed25519: bad private key length") +func newKeyFromSeed(privateKey, seed []byte) { + if l := len(seed); l != SeedSize { + panic("ed25519: bad seed length: " + strconv.Itoa(l)) } var P pointR1 k := sha512.Sum512(seed) clamp(k[:]) reduceModOrder(k[:paramB], false) P.fixedMult(k[:paramB]) - - pair := &KeyPair{} - copy(pair.private[:], seed) - _ = P.ToBytes(pair.public[:]) - return pair + copy(privateKey[:SeedSize], seed) + _ = P.ToBytes(privateKey[SeedSize:]) } -func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { +func signAll(signature []byte, privateKey PrivateKey, message, ctx []byte, preHash bool) { + if l := len(privateKey); l != PrivateKeySize { + panic("ed25519: bad private key length: " + strconv.Itoa(l)) + } + H := sha512.New() - var d []byte + var PHM []byte if preHash { _, _ = H.Write(message) - d = H.Sum(nil) + PHM = H.Sum(nil) H.Reset() } else { - d = message + PHM = message } // 1. Hash the 32-byte private key using SHA-512. - _, _ = H.Write(kp.private[:]) + _, _ = H.Write(privateKey[:SeedSize]) h := H.Sum(nil) clamp(h[:]) prefix, s := h[paramB:], h[:paramB] @@ -149,7 +242,7 @@ func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { writeDom(H, ctx, preHash) _, _ = H.Write(prefix) - _, _ = H.Write(d) + _, _ = H.Write(PHM) r := H.Sum(nil) reduceModOrder(r[:], true) @@ -157,7 +250,9 @@ func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { var P pointR1 P.fixedMult(r[:paramB]) R := (&[paramB]byte{})[:] - err := P.ToBytes(R) + if err := P.ToBytes(R); err != nil { + panic(err) + } // 4. Compute SHA512(dom2(F, C) || R || A || PH(M)). H.Reset() @@ -165,8 +260,8 @@ func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { writeDom(H, ctx, preHash) _, _ = H.Write(R) - _, _ = H.Write(kp.public[:]) - _, _ = H.Write(d) + _, _ = H.Write(privateKey[SeedSize:]) + _, _ = H.Write(PHM) hRAM := H.Sum(nil) reduceModOrder(hRAM[:], true) @@ -176,45 +271,51 @@ func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { calculateS(S, r[:paramB], hRAM[:paramB], s) // 6. The signature is the concatenation of R and S. - var signature [SignatureSize]byte copy(signature[:paramB], R[:]) copy(signature[paramB:], S[:]) - - return signature[:], err } -// SignPure creates a signature of a message given a keypair. +// Sign signs the message with privateKey and returns a signature. // This function supports the signature variant defined in RFC-8032: Ed25519, // also known as the pure version of EdDSA. -func (kp *KeyPair) SignPure(message []byte) ([]byte, error) { - ctx := "" - return sign(kp, message, []byte(ctx), false) +// It will panic if len(privateKey) is not PrivateKeySize. +func Sign(privateKey PrivateKey, message []byte) []byte { + signature := make([]byte, SignatureSize) + signAll(signature, privateKey, message, []byte(""), false) + return signature } -// SignPh creates a signature of a message given a keypair. +// SignPh creates a signature of a message with private key and context. // This function supports the signature variant defined in RFC-8032: Ed25519ph, -// meaning it internally hashes the message using SHA-512. +// meaning it internally hashes the message using SHA-512, and optionally +// accepts a context string. +// It will panic if len(privateKey) is not PrivateKeySize. // Context could be passed to this function, which length should be no more than -// 255. It can be empty. -func (kp *KeyPair) SignPh(message []byte, ctx string) ([]byte, error) { +// ContextMaxSize=255. It can be empty. +func SignPh(privateKey PrivateKey, message []byte, ctx string) []byte { if len(ctx) > ContextMaxSize { - return nil, fmt.Errorf("ed25519: bad context length: " + strconv.Itoa(len(ctx))) + panic(fmt.Errorf("ed25519: bad context length: %v", len(ctx))) } - return sign(kp, message, []byte(ctx), true) + signature := make([]byte, SignatureSize) + signAll(signature, privateKey, message, []byte(ctx), true) + return signature } -// SignWithCtx creates a signature of a message given a keypair. +// SignWithCtx creates a signature of a message with private key and context. // This function supports the signature variant defined in RFC-8032: Ed25519ctx, -// meaning it handles unhashed messages with context. -// Context should be passed to this function, which length should be no more than -// 255. It should not be empty. -func (kp *KeyPair) SignWithCtx(message []byte, ctx string) ([]byte, error) { +// meaning it accepts a non-empty context string. +// It will panic if len(privateKey) is not PrivateKeySize. +// Context must be passed to this function, which length should be no more than +// ContextMaxSize=255 and cannot be empty. +func SignWithCtx(privateKey PrivateKey, message []byte, ctx string) []byte { if len(ctx) == 0 || len(ctx) > ContextMaxSize { - return nil, fmt.Errorf("ed25519: bad context length: %v > %v", len(ctx), ContextMaxSize) + panic(fmt.Errorf("ed25519: bad context length: %v > %v", len(ctx), ContextMaxSize)) } - return sign(kp, message, []byte(ctx), false) + signature := make([]byte, SignatureSize) + signAll(signature, privateKey, message, []byte(ctx), false) + return signature } func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool { @@ -230,14 +331,14 @@ func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool } H := sha512.New() - var d []byte + var PHM []byte if preHash { _, _ = H.Write(message) - d = H.Sum(nil) + PHM = H.Sum(nil) H.Reset() } else { - d = message + PHM = message } R := signature[:paramB] @@ -246,7 +347,7 @@ func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool _, _ = H.Write(R) _, _ = H.Write(public) - _, _ = H.Write(d) + _, _ = H.Write(PHM) hRAM := H.Sum(nil) reduceModOrder(hRAM[:], true) @@ -258,7 +359,7 @@ func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool return bytes.Equal(R, encR) } -// Verify returns true if the signature is valid. Failure cases are invalid +// VerifyAny returns true if the signature is valid. Failure cases are invalid // signature, or when the public key cannot be decoded. // This function supports all the three signature variants defined in RFC-8032, // namely Ed25519 (or pure EdDSA), Ed25519Ph, and Ed25519Ctx. @@ -266,34 +367,33 @@ func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool // variant. This can be achieved by passing crypto.Hash(0) as the value for opts. // The opts.HashFunc() must return SHA512 to specify the Ed25519Ph variant. // This can be achieved by passing crypto.SHA512 as the value for opts. -// Use an Options struct to pass a context string for signing. -func Verify(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { +// Use a SignerOptions struct to pass a context string for signing. +func VerifyAny(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { var ctx string - if o, ok := opts.(*Options); ok { + var scheme SchemeID + if o, ok := opts.(SignerOptions); ok { ctx = o.Context + scheme = o.Scheme } - switch opts.HashFunc() { - case crypto.SHA512: + switch true { + case scheme == ED25519 && opts.HashFunc() == crypto.Hash(0): + return Verify(public, message, signature) + case scheme == ED25519Ph && opts.HashFunc() == crypto.SHA512: return VerifyPh(public, message, signature, ctx) - case crypto.Hash(0): - if len(ctx) > 0 { - return VerifyWithCtx(public, message, signature, ctx) - } - - return VerifyPure(public, message, signature) + case scheme == ED25519Ctx && opts.HashFunc() == crypto.Hash(0) && len(ctx) > 0: + return VerifyWithCtx(public, message, signature, ctx) default: return false } } -// VerifyPure returns true if the signature is valid. Failure cases are invalid +// Verify returns true if the signature is valid. Failure cases are invalid // signature, or when the public key cannot be decoded. // This function supports the signature variant defined in RFC-8032: Ed25519, // also known as the pure version of EdDSA. -func VerifyPure(public PublicKey, message, signature []byte) bool { - ctx := "" - return verify(public, message, signature, []byte(ctx), false) +func Verify(public PublicKey, message, signature []byte) bool { + return verify(public, message, signature, []byte(""), false) } // VerifyPh returns true if the signature is valid. Failure cases are invalid diff --git a/src/circl/sign/ed25519/ed25519_test.go b/src/circl/sign/ed25519/ed25519_test.go index d0060d7ebc2..7c1f523da06 100644 --- a/src/circl/sign/ed25519/ed25519_test.go +++ b/src/circl/sign/ed25519/ed25519_test.go @@ -1,390 +1,103 @@ package ed25519_test import ( - "bytes" - "crypto" - "crypto/rand" - "errors" - "fmt" "testing" - "circl/internal/test" "circl/sign/ed25519" ) -func TestWrongPublicKey(t *testing.T) { - wrongPublicKeys := [...][ed25519.PublicKeySize]byte{ - { // y = p - 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, - }, - { // y > p - 0xed + 1, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, - }, - { // x^2 = u/v = (y^2-1)/(dy^2+1) is not a quadratic residue - 0x9a, 0x0a, 0xbe, 0xc6, 0x23, 0xcb, 0x5a, 0x23, - 0x4e, 0x49, 0xd8, 0x92, 0xc2, 0x72, 0xd5, 0xa8, - 0x27, 0xff, 0x42, 0x07, 0x7d, 0xe3, 0xf2, 0xb4, - 0x74, 0x75, 0x9d, 0x04, 0x34, 0xed, 0xa6, 0x70, - }, - { // y = 1 and x^2 = u/v = 0, and the sign of X is 1 - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 | 0x80, - }, - { // y = -1 and x^2 = u/v = 0, and the sign of X is 1 - 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f | 0x80, - }, - } - sig := (&[ed25519.SignatureSize]byte{})[:] - for _, public := range wrongPublicKeys { - got := ed25519.VerifyPure(public[:], []byte(""), sig) - want := false - if got != want { - test.ReportError(t, got, want, public) - } - } -} - -func TestSignerPure(t *testing.T) { - // ed25519 - seed := make(ed25519.PrivateKey, ed25519.PrivateKeySize) - _, _ = rand.Read(seed) - key := ed25519.NewKeyFromSeed(seed) - - priv := key.GetPrivate() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - priv = key.Seed() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } +type zeroReader struct{} - signer := crypto.Signer(key) - ops := crypto.Hash(0) - msg := make([]byte, 16) - _, _ = rand.Read(msg) - sig, err := signer.Sign(nil, msg, ops) - if err != nil { - got := err - var want error - test.ReportError(t, got, want) - } - if len(sig) != ed25519.SignatureSize { - got := len(sig) - want := ed25519.SignatureSize - test.ReportError(t, got, want) - } - - pubKey := key.GetPublic() - pubSigner, ok := signer.Public().(ed25519.PublicKey) - if !ok { - got := ok - want := true - test.ReportError(t, got, want) - } - if !bytes.Equal(pubKey, pubSigner) { - got := pubSigner - want := pubKey - test.ReportError(t, got, want) - } - - got := ed25519.Verify(pubSigner, msg, sig, ops) - want := true - if got != want { - test.ReportError(t, got, want) +func (zeroReader) Read(buf []byte) (int, error) { + for i := range buf { + buf[i] = 0 } + return len(buf), nil } -func TestSignerPh(t *testing.T) { - // ed25519ph - seed := make(ed25519.PrivateKey, ed25519.PrivateKeySize) - _, _ = rand.Read(seed) - key := ed25519.NewKeyFromSeed(seed) - - priv := key.GetPrivate() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) +func TestMalleability(t *testing.T) { + // https://tools.ietf.org/html/rfc8032#section-5.1.7 adds an additional test + // that s be in [0, order). This prevents someone from adding a multiple of + // order to s and obtaining a second valid signature for the same message. + msg := []byte{0x54, 0x65, 0x73, 0x74} + sig := []byte{ + 0x7c, 0x38, 0xe0, 0x26, 0xf2, 0x9e, 0x14, 0xaa, 0xbd, 0x05, 0x9a, + 0x0f, 0x2d, 0xb8, 0xb0, 0xcd, 0x78, 0x30, 0x40, 0x60, 0x9a, 0x8b, + 0xe6, 0x84, 0xdb, 0x12, 0xf8, 0x2a, 0x27, 0x77, 0x4a, 0xb0, 0x67, + 0x65, 0x4b, 0xce, 0x38, 0x32, 0xc2, 0xd7, 0x6f, 0x8f, 0x6f, 0x5d, + 0xaf, 0xc0, 0x8d, 0x93, 0x39, 0xd4, 0xee, 0xf6, 0x76, 0x57, 0x33, + 0x36, 0xa5, 0xc5, 0x1e, 0xb6, 0xf9, 0x46, 0xb3, 0x1d, } - priv = key.Seed() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) + publicKey := []byte{ + 0x7d, 0x4d, 0x0e, 0x7f, 0x61, 0x53, 0xa6, 0x9b, 0x62, 0x42, 0xb5, + 0x22, 0xab, 0xbe, 0xe6, 0x85, 0xfd, 0xa4, 0x42, 0x0f, 0x88, 0x34, + 0xb1, 0x08, 0xc3, 0xbd, 0xae, 0x36, 0x9e, 0xf5, 0x49, 0xfa, } - signer := crypto.Signer(key) - ops := crypto.SHA512 - msg := make([]byte, 64) - _, _ = rand.Read(msg) - - sig, err := signer.Sign(nil, msg, ops) - if err != nil { - got := err - var want error - test.ReportError(t, got, want) - } - if len(sig) != ed25519.SignatureSize { - got := len(sig) - want := ed25519.SignatureSize - test.ReportError(t, got, want) - } - - pubKey := key.GetPublic() - pubSigner, ok := signer.Public().(ed25519.PublicKey) - if !ok { - got := ok - want := true - test.ReportError(t, got, want) - } - if !bytes.Equal(pubKey, pubSigner) { - got := pubSigner - want := pubKey - test.ReportError(t, got, want) - } - - got := ed25519.Verify(pubSigner, msg, sig, ops) - want := true - if got != want { - test.ReportError(t, got, want) + if ed25519.Verify(publicKey, msg, sig) { + t.Fatal("non-canonical signature accepted") } } -func TestSignerWithCtx(t *testing.T) { - // ed25519ctx - seed := make(ed25519.PrivateKey, ed25519.PrivateKeySize) - _, _ = rand.Read(seed) - key := ed25519.NewKeyFromSeed(seed) - - priv := key.GetPrivate() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - priv = key.Seed() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - - signer := crypto.Signer(key) - ops := &ed25519.Options{ - Hash: crypto.Hash(0), - Context: "context", - } - msg := make([]byte, 64) - _, _ = rand.Read(msg) - - sig, err := signer.Sign(nil, msg, ops) +func TestPublic(t *testing.T) { + var zero zeroReader + pub, priv, err := ed25519.GenerateKey(zero) if err != nil { - got := err - var want error - test.ReportError(t, got, want) + t.Fatal(err) } - if len(sig) != ed25519.SignatureSize { - got := len(sig) - want := ed25519.SignatureSize - test.ReportError(t, got, want) - } - - pubKey := key.GetPublic() - pubSigner, ok := signer.Public().(ed25519.PublicKey) - if !ok { - got := ok - want := true - test.ReportError(t, got, want) + if !priv.Equal(priv) { + t.FailNow() } - if !bytes.Equal(pubKey, pubSigner) { - got := pubSigner - want := pubKey - test.ReportError(t, got, want) + if !pub.Equal(pub) { + t.FailNow() } - - got := ed25519.Verify(pubSigner, msg, sig, ops) - want := true - if got != want { - test.ReportError(t, got, want) + pub2 := priv.Public() + if !pub.Equal(pub2) { + t.FailNow() } } -type badReader struct{} - -func (badReader) Read([]byte) (n int, err error) { return 0, errors.New("cannot read") } - -func TestErrors(t *testing.T) { - t.Run("badHash", func(t *testing.T) { - var msg [16]byte - ops := crypto.SHA224 - key, _ := ed25519.GenerateKey(nil) - _, got := key.Sign(nil, msg[:], ops) - want := errors.New("ed25519: bad hash algorithm") - if got.Error() != want.Error() { - test.ReportError(t, got, want) - } - }) - t.Run("badReader", func(t *testing.T) { - _, got := ed25519.GenerateKey(badReader{}) - want := errors.New("cannot read") - if got.Error() != want.Error() { - test.ReportError(t, got, want) - } - }) - t.Run("wrongSeedSize", func(t *testing.T) { - var seed [256]byte - var want error - got := test.CheckPanic(func() { ed25519.NewKeyFromSeed(seed[:]) }) - if got != want { - test.ReportError(t, got, want) - } - }) -} - -func BenchmarkEd25519(b *testing.B) { - msg := make([]byte, 128) - _, _ = rand.Read(msg) - - b.Run("keygen", func(b *testing.B) { - for i := 0; i < b.N; i++ { - _, _ = ed25519.GenerateKey(rand.Reader) - } - }) - b.Run("sign", func(b *testing.B) { - key, _ := ed25519.GenerateKey(rand.Reader) - b.ResetTimer() - for i := 0; i < b.N; i++ { - _, _ = key.SignPure(msg) - } - }) - b.Run("verify", func(b *testing.B) { - key, _ := ed25519.GenerateKey(rand.Reader) - sig, _ := key.SignPure(msg) - b.ResetTimer() - for i := 0; i < b.N; i++ { - ed25519.VerifyPure(key.GetPublic(), msg, sig) - } - }) - b.Run("signPh", func(b *testing.B) { - key, _ := ed25519.GenerateKey(rand.Reader) - ctx := "" - b.ResetTimer() - for i := 0; i < b.N; i++ { - _, _ = key.SignPh(msg, ctx) +func BenchmarkKeyGeneration(b *testing.B) { + var zero zeroReader + for i := 0; i < b.N; i++ { + if _, _, err := ed25519.GenerateKey(zero); err != nil { + b.Fatal(err) } - }) - b.Run("verifyPh", func(b *testing.B) { - key, _ := ed25519.GenerateKey(rand.Reader) - ctx := "" - sig, _ := key.SignPh(msg, ctx) - b.ResetTimer() - for i := 0; i < b.N; i++ { - ed25519.VerifyPh(key.GetPublic(), msg, sig, ctx) - } - }) - ctx := "context" - b.Run("signWithCtx", func(b *testing.B) { - key, _ := ed25519.GenerateKey(rand.Reader) - b.ResetTimer() - for i := 0; i < b.N; i++ { - _, _ = key.SignWithCtx(msg, ctx) - } - }) - b.Run("verifyWithCtx", func(b *testing.B) { - key, _ := ed25519.GenerateKey(rand.Reader) - sig, _ := key.SignWithCtx(msg, ctx) - b.ResetTimer() - for i := 0; i < b.N; i++ { - ed25519.VerifyWithCtx(key.GetPublic(), msg, sig, ctx) - } - }) -} - -func Example_ed25519() { - // import "circl/sign/ed25519" - // import "crypto/rand" - - // Generating Alice's key pair - keys, err := ed25519.GenerateKey(rand.Reader) - if err != nil { - panic("error on generating keys") } +} - // Alice signs a message. - message := []byte("A message to be signed") - signature, err := keys.SignPure(message) - if err != nil { - panic("error on signing message") +func BenchmarkNewKeyFromSeed(b *testing.B) { + seed := make([]byte, ed25519.SeedSize) + b.ReportAllocs() + for i := 0; i < b.N; i++ { + _ = ed25519.NewKeyFromSeed(seed) } - - // Anyone can verify the signature using Alice's public key. - ok := ed25519.VerifyPure(keys.GetPublic(), message, signature) - fmt.Println(ok) - // Output: true } -func Example_ed25519Ph() { - // import "circl/sign/ed25519" - // import "crypto/rand" - - // Generating Alice's key pair - keys, err := ed25519.GenerateKey(rand.Reader) +func BenchmarkSigning(b *testing.B) { + var zero zeroReader + _, priv, err := ed25519.GenerateKey(zero) if err != nil { - panic("error on generating keys") + b.Fatal(err) } - - // Alice signs a message. - message := []byte("A message to be signed") - ctx := "" - - signature, err := keys.SignPh(message, ctx) - if err != nil { - panic("error on signing message") + message := []byte("Hello, world!") + b.ReportAllocs() + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed25519.Sign(priv, message) } - - // Anyone can verify the signature using Alice's public key. - ok := ed25519.VerifyPh(keys.GetPublic(), message, signature, ctx) - fmt.Println(ok) - // Output: true } -func Example_ed25519Ctx() { - // import "circl/sign/ed25519" - // import "crypto/rand" - - // Generating Alice's key pair - keys, err := ed25519.GenerateKey(rand.Reader) +func BenchmarkVerification(b *testing.B) { + var zero zeroReader + pub, priv, err := ed25519.GenerateKey(zero) if err != nil { - panic("error on generating keys") + b.Fatal(err) } - - // Alice signs a message. - message := []byte("A message to be signed") - ctx := "context" - - signature, err := keys.SignWithCtx(message, ctx) - if err != nil { - panic("error on signing message") + message := []byte("Hello, world!") + signature := ed25519.Sign(priv, message) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed25519.Verify(pub, message, signature) } - - // Anyone can verify the signature using Alice's public key. - ok := ed25519.VerifyWithCtx(keys.GetPublic(), message, signature, ctx) - fmt.Println(ok) - // Output: true } diff --git a/src/circl/sign/ed25519/extra_test.go b/src/circl/sign/ed25519/extra_test.go new file mode 100644 index 00000000000..c2023e7f072 --- /dev/null +++ b/src/circl/sign/ed25519/extra_test.go @@ -0,0 +1,249 @@ +package ed25519_test + +import ( + "bytes" + "crypto" + "crypto/rand" + "errors" + "fmt" + "testing" + + "circl/internal/test" + "circl/sign/ed25519" +) + +func TestWrongPublicKey(t *testing.T) { + wrongPublicKeys := [...][ed25519.PublicKeySize]byte{ + { // y = p + 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + }, + { // y > p + 0xed + 1, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f, + }, + { // x^2 = u/v = (y^2-1)/(dy^2+1) is not a quadratic residue + 0x9a, 0x0a, 0xbe, 0xc6, 0x23, 0xcb, 0x5a, 0x23, + 0x4e, 0x49, 0xd8, 0x92, 0xc2, 0x72, 0xd5, 0xa8, + 0x27, 0xff, 0x42, 0x07, 0x7d, 0xe3, 0xf2, 0xb4, + 0x74, 0x75, 0x9d, 0x04, 0x34, 0xed, 0xa6, 0x70, + }, + { // y = 1 and x^2 = u/v = 0, and the sign of X is 1 + 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 | 0x80, + }, + { // y = -1 and x^2 = u/v = 0, and the sign of X is 1 + 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f | 0x80, + }, + } + sig := (&[ed25519.SignatureSize]byte{})[:] + for _, public := range wrongPublicKeys { + got := ed25519.Verify(public[:], []byte(""), sig) + want := false + if got != want { + test.ReportError(t, got, want, public) + } + } +} + +func TestSigner(t *testing.T) { + seed := (&[ed25519.SeedSize]byte{})[:] + _, _ = rand.Read(seed) + key := ed25519.NewKeyFromSeed(seed) + + priv := key.Seed() + if !bytes.Equal(seed, priv) { + got := priv + want := seed + test.ReportError(t, got, want) + } + + for _, o := range []ed25519.SignerOptions{ + {Scheme: ed25519.ED25519, Hash: crypto.Hash(0), Context: ""}, + {Scheme: ed25519.ED25519Ph, Hash: crypto.SHA512, Context: ""}, + {Scheme: ed25519.ED25519Ph, Hash: crypto.SHA512, Context: "non-empty"}, + {Scheme: ed25519.ED25519Ctx, Hash: crypto.Hash(0), Context: "non-empty"}, + } { + testSigner(t, key, o) + } +} + +func testSigner(t *testing.T, signer crypto.Signer, ops ed25519.SignerOptions) { + msg := make([]byte, 64) + _, _ = rand.Read(msg) + + sig, err := signer.Sign(nil, msg, ops) + if err != nil { + got := err + var want error + test.ReportError(t, got, want, ops) + } + + if len(sig) != ed25519.SignatureSize { + got := len(sig) + want := ed25519.SignatureSize + test.ReportError(t, got, want, ops) + } + + pubSigner, ok := signer.Public().(ed25519.PublicKey) + if !ok { + got := ok + want := true + test.ReportError(t, got, want, ops) + } + + got := ed25519.VerifyAny(pubSigner, msg, sig, ops) + want := true + if got != want { + test.ReportError(t, got, want, ops) + } +} + +type badReader struct{} + +func (badReader) Read([]byte) (int, error) { return 0, errors.New("cannot read") } + +func TestErrors(t *testing.T) { + t.Run("badHash", func(t *testing.T) { + var msg [16]byte + ops := crypto.SHA224 + _, priv, _ := ed25519.GenerateKey(nil) + _, got := priv.Sign(nil, msg[:], ops) + want := errors.New("ed25519: bad hash algorithm") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("badReader", func(t *testing.T) { + _, _, got := ed25519.GenerateKey(badReader{}) + want := errors.New("cannot read") + if got.Error() != want.Error() { + test.ReportError(t, got, want) + } + }) + t.Run("wrongSeedSize", func(t *testing.T) { + var seed [256]byte + var want error + got := test.CheckPanic(func() { ed25519.NewKeyFromSeed(seed[:]) }) + if got != want { + test.ReportError(t, got, want) + } + }) +} + +func BenchmarkEd25519Ph(b *testing.B) { + msg := make([]byte, 128) + _, _ = rand.Read(msg) + + b.Run("Sign", func(b *testing.B) { + _, key, _ := ed25519.GenerateKey(rand.Reader) + ctx := "" + b.ResetTimer() + for i := 0; i < b.N; i++ { + _ = ed25519.SignPh(key, msg, ctx) + } + }) + b.Run("Verify", func(b *testing.B) { + pub, priv, _ := ed25519.GenerateKey(rand.Reader) + ctx := "" + sig := ed25519.SignPh(priv, msg, ctx) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed25519.VerifyPh(pub, msg, sig, ctx) + } + }) +} + +func BenchmarkEd25519Ctx(b *testing.B) { + ctx := "a context" + msg := make([]byte, 128) + _, _ = rand.Read(msg) + b.Run("Sign", func(b *testing.B) { + _, priv, _ := ed25519.GenerateKey(rand.Reader) + b.ResetTimer() + for i := 0; i < b.N; i++ { + _ = ed25519.SignWithCtx(priv, msg, ctx) + } + }) + b.Run("Verify", func(b *testing.B) { + pub, priv, _ := ed25519.GenerateKey(rand.Reader) + sig := ed25519.SignWithCtx(priv, msg, ctx) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed25519.VerifyWithCtx(pub, msg, sig, ctx) + } + }) +} + +func Example_ed25519() { + // import "circl/sign/ed25519" + // import "crypto/rand" + + // Generating Alice's key pair + pub, priv, err := ed25519.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + signature := ed25519.Sign(priv, message) + + // Anyone can verify the signature using Alice's public key. + ok := ed25519.Verify(pub, message, signature) + fmt.Println(ok) + // Output: true +} + +func ExampleSignPh() { + // import "circl/sign/ed25519" + // import "crypto/rand" + + // Generating Alice's key pair + pub, priv, err := ed25519.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + ctx := "an optional context string" + + signature := ed25519.SignPh(priv, message, ctx) + + // Anyone can verify the signature using Alice's public key. + ok := ed25519.VerifyPh(pub, message, signature, ctx) + fmt.Println(ok) + // Output: true +} + +func ExampleSignWithCtx() { + // import "circl/sign/ed25519" + // import "crypto/rand" + + // Generating Alice's key pair + pub, priv, err := ed25519.GenerateKey(rand.Reader) + if err != nil { + panic("error on generating keys") + } + + // Alice signs a message. + message := []byte("A message to be signed") + ctx := "a non-empty context string" + + signature := ed25519.SignWithCtx(priv, message, ctx) + + // Anyone can verify the signature using Alice's public key. + ok := ed25519.VerifyWithCtx(pub, message, signature, ctx) + fmt.Println(ok) + // Output: true +} diff --git a/src/circl/sign/ed25519/pubkey.go b/src/circl/sign/ed25519/pubkey.go new file mode 100644 index 00000000000..ff41805982b --- /dev/null +++ b/src/circl/sign/ed25519/pubkey.go @@ -0,0 +1,8 @@ +// +build go1.13 + +package ed25519 + +import cryptoEd25519 "crypto/ed25519" + +// PublicKey is the type of Ed25519 public keys. +type PublicKey cryptoEd25519.PublicKey diff --git a/src/circl/sign/ed25519/pubkey112.go b/src/circl/sign/ed25519/pubkey112.go new file mode 100644 index 00000000000..46f66113da7 --- /dev/null +++ b/src/circl/sign/ed25519/pubkey112.go @@ -0,0 +1,6 @@ +// +build !go1.13 + +package ed25519 + +// PublicKey is the type of Ed25519 public keys. +type PublicKey []byte diff --git a/src/circl/sign/ed25519/rfc8032_test.go b/src/circl/sign/ed25519/rfc8032_test.go index 4569a3657a6..efb2354575d 100644 --- a/src/circl/sign/ed25519/rfc8032_test.go +++ b/src/circl/sign/ed25519/rfc8032_test.go @@ -29,27 +29,27 @@ func (v *rfc8032Vector) fetch(line string) { v.public, _ = hex.DecodeString(values[1]) v.message, _ = hex.DecodeString(values[2]) v.signature, _ = hex.DecodeString(values[3]) - v.private = v.private[:ed25519.PrivateKeySize] + v.private = v.private[:ed25519.SeedSize] v.signature = v.signature[:ed25519.SignatureSize] } func (v *rfc8032Vector) test(t *testing.T, lineNum int) { - keys := ed25519.NewKeyFromSeed(v.private) + key := ed25519.NewKeyFromSeed(v.private) { - got := keys.GetPublic() + got := key.Public().(ed25519.PublicKey) want := v.public if !bytes.Equal(got, want) { test.ReportError(t, got, want, lineNum, v) } - got, err := keys.SignPure(v.message) + got = ed25519.Sign(key, v.message) want = v.signature - if !bytes.Equal(got, want) || err != nil { + if !bytes.Equal(got, want) { test.ReportError(t, got, want, lineNum, v) } } { - got := ed25519.VerifyPure(keys.GetPublic(), v.message, v.signature) + got := ed25519.Verify(key.Public().(ed25519.PublicKey), v.message, v.signature) want := true if got != want { test.ReportError(t, got, want, lineNum, v) @@ -427,7 +427,7 @@ func (v vector) matchCtxLen() bool { return uint(len(v.ctx)) == v.ctxLen } func (v vector) testPublicKey(t *testing.T) { keys := ed25519.NewKeyFromSeed(v.sk) - got := keys.GetPublic() + got := keys.Public().(ed25519.PublicKey) want := v.pk if !bytes.Equal(got, want) { @@ -436,22 +436,20 @@ func (v vector) testPublicKey(t *testing.T) { } func (v vector) testSign(t *testing.T) { - private := ed25519.NewKeyFromSeed(v.sk) + key := ed25519.NewKeyFromSeed(v.sk) var got []byte - var err error if v.ph { - ctx := "" - got, err = private.SignPh(v.msg, ctx) + got = ed25519.SignPh(key, v.msg, "") } else if v.ctxLen > 0 { - got, err = private.SignWithCtx(v.msg, string(v.ctx)) + got = ed25519.SignWithCtx(key, v.msg, string(v.ctx)) } else { - got, err = private.SignPure(v.msg) + got = ed25519.Sign(key, v.msg) } want := v.sig - if !bytes.Equal(got, want) || err != nil { + if !bytes.Equal(got, want) { test.ReportError(t, got, want, v.name) } } @@ -463,7 +461,7 @@ func (v vector) testVerify(t *testing.T) { } else if v.ctxLen > 0 { got = ed25519.VerifyWithCtx(v.pk, v.msg, v.sig, string(v.ctx)) } else { - got = ed25519.VerifyPure(v.pk, v.msg, v.sig) + got = ed25519.Verify(v.pk, v.msg, v.sig) } want := true diff --git a/src/circl/sign/ed25519/signapi.go b/src/circl/sign/ed25519/signapi.go new file mode 100644 index 00000000000..2a8223be960 --- /dev/null +++ b/src/circl/sign/ed25519/signapi.go @@ -0,0 +1,84 @@ +package ed25519 + +import ( + "crypto/rand" + "encoding/asn1" + + "circl/sign" +) + +var Scheme sign.Scheme = &scheme{} + +type scheme struct{} + +func (*scheme) Name() string { return "Ed25519" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SignatureSize() int { return SignatureSize } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) TLSIdentifier() uint { return 0x0807 } +func (*scheme) SupportsContext() bool { return false } +func (*scheme) Oid() asn1.ObjectIdentifier { + return asn1.ObjectIdentifier{1, 3, 101, 112} +} + +func (*scheme) GenerateKey() (sign.PublicKey, sign.PrivateKey, error) { + return GenerateKey(rand.Reader) +} + +func (*scheme) Sign( + sk sign.PrivateKey, + message []byte, + opts *sign.SignatureOpts, +) []byte { + priv, ok := sk.(PrivateKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil && opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + return Sign(priv, message) +} + +func (*scheme) Verify( + pk sign.PublicKey, + message, signature []byte, + opts *sign.SignatureOpts, +) bool { + pub, ok := pk.(PublicKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil { + if opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + } + return Verify(pub, message, signature) +} + +func (*scheme) DeriveKey(seed []byte) (sign.PublicKey, sign.PrivateKey) { + privateKey := NewKeyFromSeed(seed) + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + return publicKey, privateKey +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (sign.PublicKey, error) { + if len(buf) < PublicKeySize { + return nil, sign.ErrPubKeySize + } + pub := make(PublicKey, PublicKeySize) + copy(pub, buf[:PublicKeySize]) + return pub, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (sign.PrivateKey, error) { + if len(buf) < PrivateKeySize { + return nil, sign.ErrPrivKeySize + } + priv := make(PrivateKey, PrivateKeySize) + copy(priv, buf[:PrivateKeySize]) + return priv, nil +} diff --git a/src/circl/sign/ed25519/wycheproof_test.go b/src/circl/sign/ed25519/wycheproof_test.go index 10e8e990e90..9b54071743a 100644 --- a/src/circl/sign/ed25519/wycheproof_test.go +++ b/src/circl/sign/ed25519/wycheproof_test.go @@ -60,7 +60,7 @@ func (kat *Wycheproof) keyPair(t *testing.T) { private, _ := hex.DecodeString(g.Key.Sk) public, _ := hex.DecodeString(g.Key.Pk) keys := ed25519.NewKeyFromSeed(private) - got := keys.GetPublic() + got := keys.Public().(ed25519.PublicKey) want := public if !bytes.Equal(got, want) { @@ -78,21 +78,21 @@ func (kat *Wycheproof) verify(t *testing.T) { sig, _ := hex.DecodeString(gT.Sig) msg, _ := hex.DecodeString(gT.Msg) - keys := ed25519.NewKeyFromSeed(private) - got := keys.GetPublic() + priv := ed25519.NewKeyFromSeed(private) + got := priv.Public().(ed25519.PublicKey) want := public if !bytes.Equal(got, want) { test.ReportError(t, got, want, i, gT.TcID) } if isValid { - got, err := keys.SignPure(msg) + got := ed25519.Sign(priv, msg) want := sig - if !bytes.Equal(got, want) || err != nil { + if !bytes.Equal(got, want) { test.ReportError(t, got, want, i, gT.TcID) } } { - got := ed25519.VerifyPure(keys.GetPublic(), msg, sig) + got := ed25519.Verify(priv.Public().(ed25519.PublicKey), msg, sig) want := isValid if got != want { test.ReportError(t, got, want, i, gT.TcID) diff --git a/src/circl/sign/ed448/ed448.go b/src/circl/sign/ed448/ed448.go index 0940c2c7629..f61d7935fd7 100644 --- a/src/circl/sign/ed448/ed448.go +++ b/src/circl/sign/ed448/ed448.go @@ -1,6 +1,23 @@ // Package ed448 implements Ed448 signature scheme as described in RFC-8032. // +// This package implements two signature variants. +// +// | Scheme Name | Sign Function | Verification | Context | +// |-------------|-------------------|---------------|-------------------| +// | Ed448 | Sign | Verify | Yes, can be empty | +// | Ed448Ph | SignPh | VerifyPh | Yes, can be empty | +// | All above | (PrivateKey).Sign | VerifyAny | As above | +// +// Specific functions for sign and verify are defined. A generic signing +// function for all schemes is available through the crypto.Signer interface, +// which is implemented by the PrivateKey type. A correspond all-in-one +// verification method is provided by the VerifyAny function. +// +// Both schemes require a context string for domain separation. This parameter +// is passed using a SignerOptions struct defined in this package. +// // References: +// // - RFC8032 https://rfc-editor.org/rfc/rfc8032.txt // - EdDSA for more curves https://eprint.iacr.org/2015/677 // - High-speed high-security signatures. https://doi.org/10.1007/s13389-012-0027-1 @@ -10,6 +27,7 @@ import ( "bytes" "crypto" cryptoRand "crypto/rand" + "crypto/subtle" "errors" "fmt" "io" @@ -17,60 +35,98 @@ import ( "circl/ecc/goldilocks" sha3 "circl/internal/shake" + "circl/sign" ) const ( + // ContextMaxSize is the maximum length (in bytes) allowed for context. + ContextMaxSize = 255 // PublicKeySize is the length in bytes of Ed448 public keys. PublicKeySize = 57 // PrivateKeySize is the length in bytes of Ed448 private keys. - PrivateKeySize = 57 + PrivateKeySize = 114 // SignatureSize is the length in bytes of signatures. SignatureSize = 114 - // ContextMaxSize is the maximum length (in bytes) allowed for context. - ContextMaxSize = 255 + // SeedSize is the size, in bytes, of private key seeds. These are the private key representations used by RFC 8032. + SeedSize = 57 ) + const ( paramB = 456 / 8 // Size of keys in bytes. hashSize = 2 * paramB // Size of the hash function's output. ) -// Options are the options that the ed448 functions can take. -type Options struct { - // Hash should be crypto.Hash(0) for Ed448 +// SignerOptions implements crypto.SignerOpts and augments with parameters +// that are specific to the Ed448 signature schemes. +type SignerOptions struct { + // Hash must be crypto.Hash(0) for both Ed448 and Ed448Ph. crypto.Hash - // Context is an optional domain separation string for Ed448ph. - // Its length must be less or equal than 255 bytes. + // Context is an optional domain separation string for signing. + // Its length must be less or equal than 255 bytes. Context string - // Prehash should be set for ed448ph, indicating that the message - // will be prehashed with SHAKE256. - PreHash bool + // Scheme is an identifier for choosing a signature scheme. + Scheme SchemeID } -// PublicKey represents a public key of Ed448. +// SchemeID is an identifier for each signature scheme. +type SchemeID uint + +const ( + ED448 SchemeID = iota + ED448Ph +) + +// PublicKey is the type of Ed448 public keys. type PublicKey []byte -// PrivateKey represents a private key of Ed448. +// Equal reports whether pub and x have the same value. +func (pub PublicKey) Equal(x crypto.PublicKey) bool { + xx, ok := x.(PublicKey) + return ok && bytes.Equal(pub, xx) +} + +// PrivateKey is the type of Ed448 private keys. It implements crypto.Signer. type PrivateKey []byte -// KeyPair implements crypto.Signer (golang.org/pkg/crypto/#Signer) interface. -type KeyPair struct { - private [PrivateKeySize]byte - public [PublicKeySize]byte +// Equal reports whether priv and x have the same value. +func (priv PrivateKey) Equal(x crypto.PrivateKey) bool { + xx, ok := x.(PrivateKey) + return ok && subtle.ConstantTimeCompare(priv, xx) == 1 +} + +// Public returns the PublicKey corresponding to priv. +func (priv PrivateKey) Public() crypto.PublicKey { + publicKey := make([]byte, PublicKeySize) + copy(publicKey, priv[SeedSize:]) + return PublicKey(publicKey) +} + +// Seed returns the private key seed corresponding to priv. It is provided for +// interoperability with RFC 8032. RFC 8032's private keys correspond to seeds +// in this package. +func (priv PrivateKey) Seed() []byte { + seed := make([]byte, SeedSize) + copy(seed, priv[:SeedSize]) + return seed } -// GetPrivate returns a copy of the private key. -func (kp *KeyPair) GetPrivate() PrivateKey { z := kp.private; return z[:] } +func (priv PrivateKey) Scheme() sign.Scheme { return Scheme } -// GetPublic returns a copy of the public key. -func (kp *KeyPair) GetPublic() PublicKey { z := kp.public; return z[:] } +func (pub PublicKey) Scheme() sign.Scheme { return Scheme } -// Seed returns the private key seed. -func (kp *KeyPair) Seed() []byte { return kp.GetPrivate() } +func (priv PrivateKey) MarshalBinary() (data []byte, err error) { + privateKey := make(PrivateKey, PrivateKeySize) + copy(privateKey, priv) + return privateKey, nil +} -// Public returns a crypto.PublicKey. -func (kp *KeyPair) Public() crypto.PublicKey { return kp.GetPublic() } +func (pub PublicKey) MarshalBinary() (data []byte, err error) { + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, pub) + return publicKey, nil +} // Sign creates a signature of a message given a key pair. // This function supports all the two signature variants defined in RFC-8032, @@ -80,45 +136,62 @@ func (kp *KeyPair) Public() crypto.PublicKey { return kp.GetPublic() } // Use an Options struct to pass a bool indicating that the ed448Ph variant // should be used. // The struct can also be optionally used to pass a context string for signing. -func (kp *KeyPair) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) ([]byte, error) { +func (priv PrivateKey) Sign( + rand io.Reader, + message []byte, + opts crypto.SignerOpts) (signature []byte, err error) { var ctx string - var preHash bool + var scheme SchemeID - if o, ok := opts.(*Options); ok { - preHash = o.PreHash + if o, ok := opts.(SignerOptions); ok { ctx = o.Context + scheme = o.Scheme } - if preHash { - return kp.SignPh(message, ctx) - } - - switch opts.HashFunc() { - case crypto.Hash(0): - return kp.SignPure(message, ctx) + switch true { + case scheme == ED448 && opts.HashFunc() == crypto.Hash(0): + return Sign(priv, message, ctx), nil + case scheme == ED448Ph && opts.HashFunc() == crypto.Hash(0): + return SignPh(priv, message, ctx), nil default: return nil, errors.New("ed448: bad hash algorithm") } } -// GenerateKey produces public and private keys using entropy from rand. +// GenerateKey generates a public/private key pair using entropy from rand. // If rand is nil, crypto/rand.Reader will be used. -func GenerateKey(rand io.Reader) (*KeyPair, error) { +func GenerateKey(rand io.Reader) (PublicKey, PrivateKey, error) { if rand == nil { rand = cryptoRand.Reader } - seed := make(PrivateKey, PrivateKeySize) + + seed := make(PrivateKey, SeedSize) if _, err := io.ReadFull(rand, seed); err != nil { - return nil, err + return nil, nil, err } - return NewKeyFromSeed(seed), nil + + privateKey := NewKeyFromSeed(seed) + publicKey := make([]byte, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + + return publicKey, privateKey, nil } -// NewKeyFromSeed generates a pair of Ed448 keys given a private key. -func NewKeyFromSeed(seed PrivateKey) *KeyPair { - if len(seed) != PrivateKeySize { - panic("ed448: bad private key length") +// NewKeyFromSeed calculates a private key from a seed. It will panic if +// len(seed) is not SeedSize. This function is provided for interoperability +// with RFC 8032. RFC 8032's private keys correspond to seeds in this +// package. +func NewKeyFromSeed(seed []byte) PrivateKey { + privateKey := make([]byte, PrivateKeySize) + newKeyFromSeed(privateKey, seed) + return privateKey +} + +func newKeyFromSeed(privateKey, seed []byte) { + if l := len(seed); l != SeedSize { + panic("ed448: bad seed length: " + strconv.Itoa(l)) } + var h [hashSize]byte H := sha3.NewShake256() _, _ = H.Write(seed) @@ -126,29 +199,31 @@ func NewKeyFromSeed(seed PrivateKey) *KeyPair { s := &goldilocks.Scalar{} deriveSecretScalar(s, h[:paramB]) - pair := &KeyPair{} - copy(pair.private[:], seed) - _ = goldilocks.Curve{}.ScalarBaseMult(s).ToBytes(pair.public[:]) - return pair + copy(privateKey[:SeedSize], seed) + _ = goldilocks.Curve{}.ScalarBaseMult(s).ToBytes(privateKey[SeedSize:]) } -func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { +func signAll(signature []byte, privateKey PrivateKey, message, ctx []byte, preHash bool) { + if len(ctx) > ContextMaxSize { + panic(fmt.Errorf("ed448: bad context length: " + strconv.Itoa(len(ctx)))) + } + H := sha3.NewShake256() - var d []byte + var PHM []byte if preHash { var h [64]byte _, _ = H.Write(message) _, _ = H.Read(h[:]) - d = h[:] + PHM = h[:] H.Reset() } else { - d = message + PHM = message } // 1. Hash the 57-byte private key using SHAKE256(x, 114). var h [hashSize]byte - _, _ = H.Write(kp.private[:]) + _, _ = H.Write(privateKey[:SeedSize]) _, _ = H.Read(h[:]) s := &goldilocks.Scalar{} deriveSecretScalar(s, h[:paramB]) @@ -161,15 +236,16 @@ func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { writeDom(&H, ctx, preHash) _, _ = H.Write(prefix) - _, _ = H.Write(d) + _, _ = H.Write(PHM) _, _ = H.Read(rPM[:]) // 3. Compute the point [r]B. r := &goldilocks.Scalar{} r.FromBytes(rPM[:]) R := (&[paramB]byte{})[:] - err := goldilocks.Curve{}.ScalarBaseMult(r).ToBytes(R) - + if err := (goldilocks.Curve{}.ScalarBaseMult(r).ToBytes(R)); err != nil { + panic(err) + } // 4. Compute SHAKE256(dom4(F, C) || R || A || PH(M), 114) var hRAM [hashSize]byte H.Reset() @@ -177,8 +253,8 @@ func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { writeDom(&H, ctx, preHash) _, _ = H.Write(R) - _, _ = H.Write(kp.public[:]) - _, _ = H.Write(d) + _, _ = H.Write(privateKey[SeedSize:]) + _, _ = H.Write(PHM) _, _ = H.Read(hRAM[:]) // 5. Compute S = (r + k * s) mod order. @@ -189,21 +265,18 @@ func sign(kp *KeyPair, message, ctx []byte, preHash bool) ([]byte, error) { S.Add(S, r) // 6. The signature is the concatenation of R and S. - var signature [SignatureSize]byte copy(signature[:paramB], R[:]) copy(signature[paramB:], S[:]) - return signature[:], err } -// SignPure creates a signature of a message given a keypair. +// Sign signs the message with privateKey and returns a signature. // This function supports the signature variant defined in RFC-8032: Ed448, // also known as the pure version of EdDSA. -func (kp *KeyPair) SignPure(message []byte, ctx string) ([]byte, error) { - if len(ctx) > ContextMaxSize { - return nil, fmt.Errorf("ed448: bad context length: " + strconv.Itoa(len(ctx))) - } - - return sign(kp, message, []byte(ctx), false) +// It will panic if len(privateKey) is not PrivateKeySize. +func Sign(priv PrivateKey, message []byte, ctx string) []byte { + signature := make([]byte, SignatureSize) + signAll(signature, priv, message, []byte(ctx), false) + return signature } // SignPh creates a signature of a message given a keypair. @@ -211,12 +284,10 @@ func (kp *KeyPair) SignPure(message []byte, ctx string) ([]byte, error) { // meaning it internally hashes the message using SHAKE-256. // Context could be passed to this function, which length should be no more than // 255. It can be empty. -func (kp *KeyPair) SignPh(message []byte, ctx string) ([]byte, error) { - if len(ctx) > ContextMaxSize { - return nil, fmt.Errorf("ed448: bad context length: " + strconv.Itoa(len(ctx))) - } - - return sign(kp, message, []byte(ctx), true) +func SignPh(priv PrivateKey, message []byte, ctx string) []byte { + signature := make([]byte, SignatureSize) + signAll(signature, priv, message, []byte(ctx), true) + return signature } func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool { @@ -233,16 +304,16 @@ func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool } H := sha3.NewShake256() - var d []byte + var PHM []byte if preHash { var h [64]byte _, _ = H.Write(message) _, _ = H.Read(h[:]) - d = h[:] + PHM = h[:] H.Reset() } else { - d = message + PHM = message } var hRAM [hashSize]byte @@ -252,7 +323,7 @@ func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool _, _ = H.Write(R) _, _ = H.Write(public) - _, _ = H.Write(d) + _, _ = H.Write(PHM) _, _ = H.Read(hRAM[:]) k := &goldilocks.Scalar{} @@ -266,34 +337,36 @@ func verify(public PublicKey, message, signature, ctx []byte, preHash bool) bool return bytes.Equal(R, encR) } -// Verify returns true if the signature is valid. Failure cases are invalid +// VerifyAny returns true if the signature is valid. Failure cases are invalid // signature, or when the public key cannot be decoded. -func Verify(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { +// This function supports all the two signature variants defined in RFC-8032, +// namely Ed448 (or pure EdDSA) and Ed448Ph. +// The opts.HashFunc() must return zero, this can be achieved by passing +// crypto.Hash(0) as the value for opts. +// Use a SignerOptions struct to pass a context string for signing. +func VerifyAny(public PublicKey, message, signature []byte, opts crypto.SignerOpts) bool { var ctx string - var preHash bool - - if o, ok := opts.(*Options); ok { - preHash = o.PreHash + var scheme SchemeID + if o, ok := opts.(SignerOptions); ok { ctx = o.Context + scheme = o.Scheme } - if preHash { + switch true { + case scheme == ED448 && opts.HashFunc() == crypto.Hash(0): + return Verify(public, message, signature, ctx) + case scheme == ED448Ph && opts.HashFunc() == crypto.Hash(0): return VerifyPh(public, message, signature, ctx) - } - - switch opts.HashFunc() { - case crypto.Hash(0): - return VerifyPure(public, message, signature, ctx) default: return false } } -// VerifyPure returns true if the signature is valid. Failure cases are invalid +// Verify returns true if the signature is valid. Failure cases are invalid // signature, or when the public key cannot be decoded. // This function supports the signature variant defined in RFC-8032: Ed448, // also known as the pure version of EdDSA. -func VerifyPure(public PublicKey, message, signature []byte, ctx string) bool { +func Verify(public PublicKey, message, signature []byte, ctx string) bool { return verify(public, message, signature, []byte(ctx), false) } diff --git a/src/circl/sign/ed448/ed448_test.go b/src/circl/sign/ed448/ed448_test.go index c81deb462bc..639c81c8036 100644 --- a/src/circl/sign/ed448/ed448_test.go +++ b/src/circl/sign/ed448/ed448_test.go @@ -12,6 +12,37 @@ import ( "circl/sign/ed448" ) +type zeroReader struct{} + +func (zeroReader) Read(buf []byte) (int, error) { + for i := range buf { + buf[i] = 0 + } + return len(buf), nil +} + +func TestEqual(t *testing.T) { + public, private, _ := ed448.GenerateKey(rand.Reader) + + if !public.Equal(public) { + t.Errorf("public key is not equal to itself: %q", public) + } + if !public.Equal(crypto.Signer(private).Public()) { + t.Errorf("private.Public() is not Equal to public: %q", public) + } + if !private.Equal(private) { + t.Errorf("private key is not equal to itself: %q", private) + } + + otherPub, otherPriv, _ := ed448.GenerateKey(rand.Reader) + if public.Equal(otherPub) { + t.Errorf("different public keys are Equal") + } + if private.Equal(otherPriv) { + t.Errorf("different private keys are Equal") + } +} + func TestWrongPublicKey(t *testing.T) { wrongPublicKeys := [...][ed448.PublicKeySize]byte{ { // y = p @@ -62,7 +93,7 @@ func TestWrongPublicKey(t *testing.T) { } sig := (&[ed448.SignatureSize]byte{})[:] for _, public := range wrongPublicKeys { - got := ed448.VerifyPure(public[:], []byte(""), sig, "") + got := ed448.Verify(public[:], []byte(""), sig, "") want := false if got != want { test.ReportError(t, got, want, public) @@ -70,19 +101,12 @@ func TestWrongPublicKey(t *testing.T) { } } -func TestSignerPure(t *testing.T) { - // ed448 - seed := make(ed448.PrivateKey, ed448.PrivateKeySize) +func TestSigner(t *testing.T) { + seed := (&[ed448.SeedSize]byte{})[:] _, _ = rand.Read(seed) key := ed448.NewKeyFromSeed(seed) - priv := key.GetPrivate() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - priv = key.Seed() + priv := key.Seed() if !bytes.Equal(seed, priv) { got := priv want := seed @@ -105,141 +129,44 @@ func TestSignerPure(t *testing.T) { test.ReportError(t, got, want) } - pubKey := key.GetPublic() - pubSigner, ok := signer.Public().(ed448.PublicKey) - if !ok { - got := ok - want := true - test.ReportError(t, got, want) - } - if !bytes.Equal(pubKey, pubSigner) { - got := pubSigner - want := pubKey - test.ReportError(t, got, want) - } - - got := ed448.Verify(pubSigner, msg, sig, ops) - want := true - if got != want { - test.ReportError(t, got, want) + for _, o := range []ed448.SignerOptions{ + {Scheme: ed448.ED448, Hash: crypto.Hash(0), Context: ""}, + {Scheme: ed448.ED448, Hash: crypto.Hash(0), Context: "non-empty"}, + {Scheme: ed448.ED448Ph, Hash: crypto.Hash(0), Context: ""}, + {Scheme: ed448.ED448Ph, Hash: crypto.Hash(0), Context: "non-empty"}, + } { + testSigner(t, key, o) } } -func TestSignerPh(t *testing.T) { - // ed448Ph - seed := make(ed448.PrivateKey, ed448.PrivateKeySize) - _, _ = rand.Read(seed) - key := ed448.NewKeyFromSeed(seed) - - priv := key.GetPrivate() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - priv = key.Seed() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - - signer := crypto.Signer(key) - ops := &ed448.Options{ - Hash: crypto.Hash(0), - Context: "", - PreHash: true, - } - msg := make([]byte, 16) +func testSigner(t *testing.T, signer crypto.Signer, ops ed448.SignerOptions) { + msg := make([]byte, 64) _, _ = rand.Read(msg) - sig, err := signer.Sign(nil, msg, ops) - if err != nil { - got := err - var want error - test.ReportError(t, got, want) - } - if len(sig) != ed448.SignatureSize { - got := len(sig) - want := ed448.SignatureSize - test.ReportError(t, got, want) - } - - pubKey := key.GetPublic() - pubSigner, ok := signer.Public().(ed448.PublicKey) - if !ok { - got := ok - want := true - test.ReportError(t, got, want) - } - if !bytes.Equal(pubKey, pubSigner) { - got := pubSigner - want := pubKey - test.ReportError(t, got, want) - } - got := ed448.Verify(pubSigner, msg, sig, ops) - want := true - if got != want { - test.ReportError(t, got, want) - } -} - -func TestSignerWithCxt(t *testing.T) { - // ed448 with context - seed := make(ed448.PrivateKey, ed448.PrivateKeySize) - _, _ = rand.Read(seed) - key := ed448.NewKeyFromSeed(seed) - - priv := key.GetPrivate() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - priv = key.Seed() - if !bytes.Equal(seed, priv) { - got := priv - want := seed - test.ReportError(t, got, want) - } - - signer := crypto.Signer(key) - ops := &ed448.Options{ - Hash: crypto.Hash(0), - Context: "context", - PreHash: false, - } - msg := make([]byte, 16) - _, _ = rand.Read(msg) sig, err := signer.Sign(nil, msg, ops) if err != nil { got := err var want error - test.ReportError(t, got, want) + test.ReportError(t, got, want, ops) } + if len(sig) != ed448.SignatureSize { got := len(sig) want := ed448.SignatureSize - test.ReportError(t, got, want) + test.ReportError(t, got, want, ops) } - pubKey := key.GetPublic() pubSigner, ok := signer.Public().(ed448.PublicKey) if !ok { got := ok want := true - test.ReportError(t, got, want) - } - if !bytes.Equal(pubKey, pubSigner) { - got := pubSigner - want := pubKey - test.ReportError(t, got, want) + test.ReportError(t, got, want, ops) } - got := ed448.Verify(pubSigner, msg, sig, ops) + got := ed448.VerifyAny(pubSigner, msg, sig, ops) want := true if got != want { - test.ReportError(t, got, want) + test.ReportError(t, got, want, ops) } } @@ -251,15 +178,15 @@ func TestErrors(t *testing.T) { t.Run("badHash", func(t *testing.T) { var msg [16]byte ops := crypto.SHA224 - key, _ := ed448.GenerateKey(nil) - _, got := key.Sign(nil, msg[:], ops) + _, priv, _ := ed448.GenerateKey(nil) + _, got := priv.Sign(nil, msg[:], ops) want := errors.New("ed448: bad hash algorithm") if got.Error() != want.Error() { test.ReportError(t, got, want) } }) t.Run("badReader", func(t *testing.T) { - _, got := ed448.GenerateKey(badReader{}) + _, _, got := ed448.GenerateKey(badReader{}) want := errors.New("cannot read") if got.Error() != want.Error() { test.ReportError(t, got, want) @@ -276,63 +203,91 @@ func TestErrors(t *testing.T) { t.Run("bigContext", func(t *testing.T) { var msg [16]byte var ctx [256]byte - key, _ := ed448.GenerateKey(nil) - _, got := key.SignPure(msg[:], string(ctx[:])) - want := errors.New("ed448: bad context length: 256") - if got.Error() != want.Error() { + var want error + _, priv, _ := ed448.GenerateKey(nil) + got := test.CheckPanic(func() { ed448.Sign(priv, msg[:], string(ctx[:])) }) + if got != want { test.ReportError(t, got, want) } }) } -func BenchmarkEd448(b *testing.B) { +func BenchmarkKeyGeneration(b *testing.B) { + var zero zeroReader + for i := 0; i < b.N; i++ { + if _, _, err := ed448.GenerateKey(zero); err != nil { + b.Fatal(err) + } + } +} + +func BenchmarkNewKeyFromSeed(b *testing.B) { + seed := make([]byte, ed448.SeedSize) + b.ReportAllocs() + for i := 0; i < b.N; i++ { + _ = ed448.NewKeyFromSeed(seed) + } +} + +func BenchmarkSigning(b *testing.B) { + var zero zeroReader + _, priv, err := ed448.GenerateKey(zero) + if err != nil { + b.Fatal(err) + } + message := []byte("Hello, world!") + ctx := "a context string" + b.ReportAllocs() + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed448.Sign(priv, message, ctx) + } +} + +func BenchmarkVerification(b *testing.B) { + var zero zeroReader + pub, priv, err := ed448.GenerateKey(zero) + if err != nil { + b.Fatal(err) + } + message := []byte("Hello, world!") + ctx := "a context string" + signature := ed448.Sign(priv, message, ctx) + b.ResetTimer() + for i := 0; i < b.N; i++ { + ed448.Verify(pub, message, signature, ctx) + } +} + +func BenchmarkEd448Ph(b *testing.B) { msg := make([]byte, 128) - ctx := make([]byte, 128) _, _ = rand.Read(msg) - _, _ = rand.Read(ctx) - b.Run("keygen", func(b *testing.B) { - for i := 0; i < b.N; i++ { - _, _ = ed448.GenerateKey(rand.Reader) - } - }) - b.Run("sign", func(b *testing.B) { - key, _ := ed448.GenerateKey(rand.Reader) - b.ResetTimer() - for i := 0; i < b.N; i++ { - _, _ = key.SignPure(msg, string(ctx)) - } - }) - b.Run("verify", func(b *testing.B) { - key, _ := ed448.GenerateKey(rand.Reader) - sig, _ := key.SignPure(msg, string(ctx)) + b.Run("Sign", func(b *testing.B) { + _, key, _ := ed448.GenerateKey(rand.Reader) + ctx := "" b.ResetTimer() for i := 0; i < b.N; i++ { - ed448.VerifyPure(key.GetPublic(), msg, sig, "") + _ = ed448.SignPh(key, msg, ctx) } }) - b.Run("signPh", func(b *testing.B) { - key, _ := ed448.GenerateKey(rand.Reader) + b.Run("Verify", func(b *testing.B) { + pub, priv, _ := ed448.GenerateKey(rand.Reader) + ctx := "" + sig := ed448.SignPh(priv, msg, ctx) b.ResetTimer() for i := 0; i < b.N; i++ { - _, _ = key.SignPh(msg, string(ctx)) - } - }) - b.Run("verifyPh", func(b *testing.B) { - key, _ := ed448.GenerateKey(rand.Reader) - sig, _ := key.SignPh(msg, string(ctx)) - b.ResetTimer() - for i := 0; i < b.N; i++ { - ed448.VerifyPh(key.GetPublic(), msg, sig, "") + ed448.VerifyPh(pub, msg, sig, ctx) } }) } func Example_ed448() { // import "circl/sign/ed448" + // import "crypto/rand" // Generating Alice's key pair - keys, err := ed448.GenerateKey(rand.Reader) + pub, priv, err := ed448.GenerateKey(rand.Reader) if err != nil { panic("error on generating keys") } @@ -340,22 +295,20 @@ func Example_ed448() { // Alice signs a message. message := []byte("A message to be signed") ctx := "This is a context string" - signature, err := keys.SignPure(message, ctx) - if err != nil { - panic("error on signing message") - } + signature := ed448.Sign(priv, message, ctx) // Anyone can verify the signature using Alice's public key. - ok := ed448.VerifyPure(keys.GetPublic(), message, signature, ctx) + ok := ed448.Verify(pub, message, signature, ctx) fmt.Println(ok) // Output: true } -func Example_ed448Ph() { +func ExampleSignPh() { // import "circl/sign/ed448" + // import "crypto/rand" // Generating Alice's key pair - keys, err := ed448.GenerateKey(rand.Reader) + pub, priv, err := ed448.GenerateKey(rand.Reader) if err != nil { panic("error on generating keys") } @@ -363,13 +316,10 @@ func Example_ed448Ph() { // Alice signs a message. message := []byte("A message to be signed") ctx := "This is a context string" - signature, err := keys.SignPh(message, ctx) - if err != nil { - panic("error on signing message") - } + signature := ed448.SignPh(priv, message, ctx) // Anyone can verify the signature using Alice's public key. - ok := ed448.VerifyPh(keys.GetPublic(), message, signature, ctx) + ok := ed448.VerifyPh(pub, message, signature, ctx) fmt.Println(ok) // Output: true } diff --git a/src/circl/sign/ed448/rfc8032_test.go b/src/circl/sign/ed448/rfc8032_test.go index 5270f20d0cc..cf5d0f165d2 100644 --- a/src/circl/sign/ed448/rfc8032_test.go +++ b/src/circl/sign/ed448/rfc8032_test.go @@ -477,7 +477,7 @@ func (v vector) matchCtxLen() bool { return uint(len(v.ctx)) == v.ctxLen } func (v vector) testPublicKey(t *testing.T) { keys := ed448.NewKeyFromSeed(v.sk) - got := keys.GetPublic() + got := keys.Public().(ed448.PublicKey) want := v.pk if !bytes.Equal(got, want) { @@ -489,16 +489,15 @@ func (v vector) testSign(t *testing.T) { private := ed448.NewKeyFromSeed(v.sk) var got []byte - var err error if v.ph { - got, err = private.SignPh(v.msg, string(v.ctx)) + got = ed448.SignPh(private, v.msg, string(v.ctx)) } else { - got, err = private.SignPure(v.msg, string(v.ctx)) + got = ed448.Sign(private, v.msg, string(v.ctx)) } want := v.sig - if !bytes.Equal(got, want) || err != nil { + if !bytes.Equal(got, want) { test.ReportError(t, got, want, v.name) } } @@ -509,7 +508,7 @@ func (v vector) testVerify(t *testing.T) { if v.ph { got = ed448.VerifyPh(v.pk, v.msg, v.sig, string(v.ctx)) } else { - got = ed448.VerifyPure(v.pk, v.msg, v.sig, string(v.ctx)) + got = ed448.Verify(v.pk, v.msg, v.sig, string(v.ctx)) } want := true diff --git a/src/circl/sign/ed448/signapi.go b/src/circl/sign/ed448/signapi.go new file mode 100644 index 00000000000..9c0141c8ca7 --- /dev/null +++ b/src/circl/sign/ed448/signapi.go @@ -0,0 +1,84 @@ +package ed448 + +import ( + "crypto/rand" + "encoding/asn1" + + "circl/sign" +) + +var Scheme sign.Scheme = &scheme{} + +type scheme struct{} + +func (*scheme) Name() string { return "Ed448" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SignatureSize() int { return SignatureSize } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) TLSIdentifier() uint { return 0x0808 } +func (*scheme) SupportsContext() bool { return true } +func (*scheme) Oid() asn1.ObjectIdentifier { + return asn1.ObjectIdentifier{1, 3, 101, 113} +} + +func (*scheme) GenerateKey() (sign.PublicKey, sign.PrivateKey, error) { + return GenerateKey(rand.Reader) +} + +func (*scheme) Sign( + sk sign.PrivateKey, + message []byte, + opts *sign.SignatureOpts, +) []byte { + priv, ok := sk.(PrivateKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + ctx := "" + if opts != nil { + ctx = opts.Context + } + return Sign(priv, message, ctx) +} + +func (*scheme) Verify( + pk sign.PublicKey, + message, signature []byte, + opts *sign.SignatureOpts, +) bool { + pub, ok := pk.(PublicKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + ctx := "" + if opts != nil { + ctx = opts.Context + } + return Verify(pub, message, signature, ctx) +} + +func (*scheme) DeriveKey(seed []byte) (sign.PublicKey, sign.PrivateKey) { + privateKey := NewKeyFromSeed(seed) + publicKey := make(PublicKey, PublicKeySize) + copy(publicKey, privateKey[SeedSize:]) + return publicKey, privateKey +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (sign.PublicKey, error) { + if len(buf) < PublicKeySize { + return nil, sign.ErrPubKeySize + } + pub := make(PublicKey, PublicKeySize) + copy(pub, buf[:PublicKeySize]) + return pub, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (sign.PrivateKey, error) { + if len(buf) < PrivateKeySize { + return nil, sign.ErrPrivKeySize + } + priv := make(PrivateKey, PrivateKeySize) + copy(priv, buf[:PrivateKeySize]) + return priv, nil +} diff --git a/src/circl/sign/ed448/wycheproof_test.go b/src/circl/sign/ed448/wycheproof_test.go index c40ced69f1d..c40a9caf83c 100644 --- a/src/circl/sign/ed448/wycheproof_test.go +++ b/src/circl/sign/ed448/wycheproof_test.go @@ -60,7 +60,7 @@ func (kat *Wycheproof) keyPair(t *testing.T) { private, _ := hex.DecodeString(g.Key.Sk) public, _ := hex.DecodeString(g.Key.Pk) keys := ed448.NewKeyFromSeed(private) - got := keys.GetPublic() + got := keys.Public().(ed448.PublicKey) want := public if !bytes.Equal(got, want) { @@ -80,21 +80,21 @@ func (kat *Wycheproof) verify(t *testing.T) { sig, _ := hex.DecodeString(gT.Sig) msg, _ := hex.DecodeString(gT.Msg) - keys := ed448.NewKeyFromSeed(private) - got := keys.GetPublic() + priv := ed448.NewKeyFromSeed(private) + got := priv.Public().(ed448.PublicKey) want := public if !bytes.Equal(got, want) { test.ReportError(t, got, want, i, gT.TcID) } if isValid { - got, err := keys.SignPure(msg, string(ctx)) + got := ed448.Sign(priv, msg, string(ctx)) want := sig - if !bytes.Equal(got, want) || err != nil { + if !bytes.Equal(got, want) { test.ReportError(t, got, want, i, gT.TcID) } } { - got := ed448.VerifyPure(keys.GetPublic(), msg, sig, string(ctx)) + got := ed448.Verify(priv.Public().(ed448.PublicKey), msg, sig, string(ctx)) want := isValid if got != want { test.ReportError(t, got, want, i, gT.TcID) diff --git a/src/circl/sign/eddilithium3/eddilithium.go b/src/circl/sign/eddilithium3/eddilithium.go index 11221e95f9a..129d74c4e03 100644 --- a/src/circl/sign/eddilithium3/eddilithium.go +++ b/src/circl/sign/eddilithium3/eddilithium.go @@ -8,6 +8,7 @@ import ( "io" "circl/internal/shake" + "circl/sign" "circl/sign/dilithium/mode3" "circl/sign/ed25519" ) @@ -20,7 +21,7 @@ const ( PublicKeySize = mode3.PublicKeySize + ed25519.PublicKeySize // PrivateKeySize is the length in bytes of the packed public key. - PrivateKeySize = mode3.PrivateKeySize + ed25519.PrivateKeySize + PrivateKeySize = mode3.PrivateKeySize + ed25519.SeedSize // SignatureSize is the length in bytes of the signatures. SignatureSize = mode3.SignatureSize + ed25519.SignatureSize @@ -34,7 +35,7 @@ type PublicKey struct { // PrivateKey is the type of an EdDilithium3 private key. type PrivateKey struct { - e ed25519.KeyPair + e ed25519.PrivateKey d mode3.PrivateKey } @@ -57,7 +58,7 @@ func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { var seed1 [32]byte - var seed2 [32]byte + var seed2 [ed25519.SeedSize]byte // Internally, Ed25519 and Dilithium hash the seeds they are passed again // with different hash functions, so it would be safe to use exactly the @@ -71,9 +72,9 @@ func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { _, _ = h.Read(seed1[:]) _, _ = h.Read(seed2[:]) dpk, dsk := mode3.NewKeyFromSeed(&seed1) - epair := ed25519.NewKeyFromSeed(seed2[:]) + esk := ed25519.NewKeyFromSeed(seed2[:]) - return &PublicKey{epair.GetPublic(), *dpk}, &PrivateKey{*epair, *dsk} + return &PublicKey{esk.Public().(ed25519.PublicKey), *dpk}, &PrivateKey{esk, *dsk} } // SignTo signs the given message and writes the signature into signature. @@ -84,7 +85,8 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { msg, signature[:mode3.SignatureSize], ) - esig, _ := sk.e.SignPure( + esig := ed25519.Sign( + sk.e, msg, ) copy(signature[mode3.SignatureSize:], esig[:]) @@ -103,7 +105,6 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { pk.e, msg, signature[mode3.SignatureSize:], - crypto.Hash(0), ) { return false } @@ -124,7 +125,7 @@ func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { var tmp [mode3.PrivateKeySize]byte copy(tmp[:], buf[:mode3.PrivateKeySize]) sk.d.Unpack(&tmp) - sk.e = *ed25519.NewKeyFromSeed(buf[mode3.PrivateKeySize:]) + sk.e = ed25519.NewKeyFromSeed(buf[mode3.PrivateKeySize:]) } // Pack packs the public key into buf. @@ -185,6 +186,25 @@ func (sk *PrivateKey) UnmarshalBinary(data []byte) error { return nil } +func (sk *PrivateKey) Scheme() sign.Scheme { return Scheme } +func (pk *PublicKey) Scheme() sign.Scheme { return Scheme } + +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return castOther.e.Equal(sk.e) && castOther.d.Equal(&sk.d) +} + +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return castOther.e.Equal(pk.e) && castOther.d.Equal(&pk.d) +} + // Sign signs the given message. // // opts.HashFunc() must return zero, which can be achieved by passing @@ -212,7 +232,7 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( // PrivateKey implement the crypto.Signer interface. func (sk *PrivateKey) Public() crypto.PublicKey { return &PublicKey{ - sk.e.GetPublic(), + sk.e.Public().(ed25519.PublicKey), *sk.d.Public().(*mode3.PublicKey), } } diff --git a/src/circl/sign/eddilithium3/eddilithium_test.go b/src/circl/sign/eddilithium3/eddilithium_test.go index 5f0e6c18e01..a4a476ab4bb 100644 --- a/src/circl/sign/eddilithium3/eddilithium_test.go +++ b/src/circl/sign/eddilithium3/eddilithium_test.go @@ -66,8 +66,8 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { var seed [eddilithium3.SeedSize]byte var sig [eddilithium3.SignatureSize]byte var msg [8]byte - var pkb1, pkb2 [eddilithium3.PublicKeySize]byte - var skb1, skb2 [eddilithium3.PrivateKeySize]byte + var pkb [eddilithium3.PublicKeySize]byte + var skb [eddilithium3.PrivateKeySize]byte var pk2 eddilithium3.PublicKey var sk2 eddilithium3.PrivateKey for i := uint64(0); i < 100; i++ { @@ -80,16 +80,14 @@ func TestSignThenVerifyAndPkSkPacking(t *testing.T) { t.Fatal() } } - pk.Pack(&pkb1) - pk2.Unpack(&pkb1) - pk2.Pack(&pkb2) - if pkb1 != pkb2 { + pk.Pack(&pkb) + pk2.Unpack(&pkb) + if !pk.Equal(&pk2) { t.Fatal() } - sk.Pack(&skb1) - sk2.Unpack(&skb1) - sk2.Pack(&skb2) - if skb1 != skb2 { + sk.Pack(&skb) + sk2.Unpack(&skb) + if !sk.Equal(&sk2) { t.Fatal() } } diff --git a/src/circl/sign/eddilithium3/signapi.go b/src/circl/sign/eddilithium3/signapi.go new file mode 100644 index 00000000000..d87b2125cc8 --- /dev/null +++ b/src/circl/sign/eddilithium3/signapi.go @@ -0,0 +1,90 @@ +package eddilithium3 + +import ( + "crypto/rand" + "encoding/asn1" + + "circl/sign" +) + +var Scheme sign.Scheme = &scheme{} + +type scheme struct{} + +func (*scheme) Name() string { return "Ed25519-Dilithium3" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SignatureSize() int { return SignatureSize } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) TLSIdentifier() uint { return 0xfe61 /* temp*/ } +func (*scheme) SupportsContext() bool { return false } +func (*scheme) Oid() asn1.ObjectIdentifier { + return asn1.ObjectIdentifier{1, 3, 6, 1, 4, 1, 44363, 45, 9} +} + +func (*scheme) GenerateKey() (sign.PublicKey, sign.PrivateKey, error) { + return GenerateKey(rand.Reader) +} + +func (*scheme) Sign( + sk sign.PrivateKey, + message []byte, + opts *sign.SignatureOpts, +) []byte { + priv, ok := sk.(*PrivateKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil && opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + var sig [SignatureSize]byte + SignTo(priv, message, sig[:]) + return sig[:] +} + +func (*scheme) Verify( + pk sign.PublicKey, + message, signature []byte, + opts *sign.SignatureOpts, +) bool { + pub, ok := pk.(*PublicKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil && opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + return Verify(pub, message, signature) +} + +func (*scheme) DeriveKey(seed []byte) (sign.PublicKey, sign.PrivateKey) { + if len(seed) != SeedSize { + panic(sign.ErrSeedSize) + } + var tmp [SeedSize]byte + copy(tmp[:], seed) + return NewKeyFromSeed(&tmp) +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (sign.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, sign.ErrPubKeySize + } + var tmp [PublicKeySize]byte + copy(tmp[:], buf) + var ret PublicKey + ret.Unpack(&tmp) + return &ret, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (sign.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, sign.ErrPrivKeySize + } + var tmp [PrivateKeySize]byte + copy(tmp[:], buf) + var ret PrivateKey + ret.Unpack(&tmp) + return &ret, nil +} diff --git a/src/circl/sign/eddilithium4/eddilithium.go b/src/circl/sign/eddilithium4/eddilithium.go index d7806ecc193..a4cc9cea124 100644 --- a/src/circl/sign/eddilithium4/eddilithium.go +++ b/src/circl/sign/eddilithium4/eddilithium.go @@ -8,19 +8,20 @@ import ( "io" "circl/internal/shake" + "circl/sign" "circl/sign/dilithium/mode4" "circl/sign/ed448" ) const ( // SeedSize is the length of the seed for NewKeyFromSeed - SeedSize = ed448.PrivateKeySize // > mode4.SeedSize + SeedSize = ed448.SeedSize // > mode4.SeedSize // PublicKeySize is the length in bytes of the packed public key. PublicKeySize = mode4.PublicKeySize + ed448.PublicKeySize // PrivateKeySize is the length in bytes of the packed public key. - PrivateKeySize = mode4.PrivateKeySize + ed448.PrivateKeySize + PrivateKeySize = mode4.PrivateKeySize + ed448.SeedSize // SignatureSize is the length in bytes of the signatures. SignatureSize = mode4.SignatureSize + ed448.SignatureSize @@ -34,7 +35,7 @@ type PublicKey struct { // PrivateKey is the type of an EdDilithium4 private key. type PrivateKey struct { - e ed448.KeyPair + e ed448.PrivateKey d mode4.PrivateKey } @@ -57,16 +58,16 @@ func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { var seed1 [32]byte - var seed2 [57]byte + var seed2 [ed448.SeedSize]byte h := shake.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(seed1[:]) _, _ = h.Read(seed2[:]) dpk, dsk := mode4.NewKeyFromSeed(&seed1) - epair := ed448.NewKeyFromSeed(seed2[:]) + esk := ed448.NewKeyFromSeed(seed2[:]) - return &PublicKey{epair.GetPublic(), *dpk}, &PrivateKey{*epair, *dsk} + return &PublicKey{esk.Public().(ed448.PublicKey), *dpk}, &PrivateKey{esk, *dsk} } // SignTo signs the given message and writes the signature into signature. @@ -77,10 +78,10 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { msg, signature[:mode4.SignatureSize], ) - esig, _ := sk.e.Sign( - nil, + esig := ed448.Sign( + sk.e, msg, - crypto.Hash(0), + "", ) copy(signature[mode4.SignatureSize:], esig[:]) } @@ -98,7 +99,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { pk.e, msg, signature[mode4.SignatureSize:], - crypto.Hash(0), + "", ) { return false } @@ -119,7 +120,7 @@ func (sk *PrivateKey) Unpack(buf *[PrivateKeySize]byte) { var tmp [mode4.PrivateKeySize]byte copy(tmp[:], buf[:mode4.PrivateKeySize]) sk.d.Unpack(&tmp) - sk.e = *ed448.NewKeyFromSeed(buf[mode4.PrivateKeySize:]) + sk.e = ed448.NewKeyFromSeed(buf[mode4.PrivateKeySize:]) } // Pack packs the public key into buf. @@ -161,7 +162,7 @@ func (sk *PrivateKey) MarshalBinary() ([]byte, error) { // UnmarshalBinary the public key from data. func (pk *PublicKey) UnmarshalBinary(data []byte) error { if len(data) != PublicKeySize { - return errors.New("packed public key must be of eddilithium3.PublicKeySize bytes") + return errors.New("packed public key must be of eddilithium4.PublicKeySize bytes") } var buf [PublicKeySize]byte copy(buf[:], data) @@ -172,7 +173,7 @@ func (pk *PublicKey) UnmarshalBinary(data []byte) error { // UnmarshalBinary unpacks the private key from data. func (sk *PrivateKey) UnmarshalBinary(data []byte) error { if len(data) != PrivateKeySize { - return errors.New("packed private key must be of eddilithium3.PrivateKeySize bytes") + return errors.New("packed private key must be of eddilithium4.PrivateKeySize bytes") } var buf [PrivateKeySize]byte copy(buf[:], data) @@ -180,6 +181,25 @@ func (sk *PrivateKey) UnmarshalBinary(data []byte) error { return nil } +func (sk *PrivateKey) Scheme() sign.Scheme { return Scheme } +func (pk *PublicKey) Scheme() sign.Scheme { return Scheme } + +func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { + castOther, ok := other.(*PrivateKey) + if !ok { + return false + } + return castOther.e.Equal(sk.e) && castOther.d.Equal(&sk.d) +} + +func (pk *PublicKey) Equal(other crypto.PublicKey) bool { + castOther, ok := other.(*PublicKey) + if !ok { + return false + } + return castOther.e.Equal(pk.e) && castOther.d.Equal(&pk.d) +} + // Sign signs the given message. // // opts.HashFunc() must return zero, which can be achieved by passing @@ -194,7 +214,7 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( var sig [SignatureSize]byte if opts.HashFunc() != crypto.Hash(0) { - return nil, errors.New("eddilithium3: cannot sign hashed message") + return nil, errors.New("eddilithium4: cannot sign hashed message") } SignTo(sk, msg, sig[:]) @@ -207,7 +227,7 @@ func (sk *PrivateKey) Sign(rand io.Reader, msg []byte, opts crypto.SignerOpts) ( // PrivateKey implement the crypto.Signer interface. func (sk *PrivateKey) Public() crypto.PublicKey { return &PublicKey{ - sk.e.GetPublic(), + sk.e.Public().(ed448.PublicKey), *sk.d.Public().(*mode4.PublicKey), } } diff --git a/src/circl/sign/eddilithium4/signapi.go b/src/circl/sign/eddilithium4/signapi.go new file mode 100644 index 00000000000..8f62cd4651a --- /dev/null +++ b/src/circl/sign/eddilithium4/signapi.go @@ -0,0 +1,90 @@ +package eddilithium4 + +import ( + "crypto/rand" + "encoding/asn1" + + "circl/sign" +) + +var Scheme sign.Scheme = &scheme{} + +type scheme struct{} + +func (*scheme) Name() string { return "Ed448-Dilithium4" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SignatureSize() int { return SignatureSize } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) TLSIdentifier() uint { return 0xfe62 /* temp */ } +func (*scheme) SupportsContext() bool { return false } +func (*scheme) Oid() asn1.ObjectIdentifier { + return asn1.ObjectIdentifier{1, 3, 6, 1, 4, 1, 44363, 45, 10} +} + +func (*scheme) GenerateKey() (sign.PublicKey, sign.PrivateKey, error) { + return GenerateKey(rand.Reader) +} + +func (*scheme) Sign( + sk sign.PrivateKey, + message []byte, + opts *sign.SignatureOpts, +) []byte { + priv, ok := sk.(*PrivateKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil && opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + var sig [SignatureSize]byte + SignTo(priv, message, sig[:]) + return sig[:] +} + +func (*scheme) Verify( + pk sign.PublicKey, + message, signature []byte, + opts *sign.SignatureOpts, +) bool { + pub, ok := pk.(*PublicKey) + if !ok { + panic(sign.ErrTypeMismatch) + } + if opts != nil && opts.Context != "" { + panic(sign.ErrContextNotSupported) + } + return Verify(pub, message, signature) +} + +func (*scheme) DeriveKey(seed []byte) (sign.PublicKey, sign.PrivateKey) { + if len(seed) != SeedSize { + panic(sign.ErrSeedSize) + } + var tmp [SeedSize]byte + copy(tmp[:], seed) + return NewKeyFromSeed(&tmp) +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (sign.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, sign.ErrPubKeySize + } + var tmp [PublicKeySize]byte + copy(tmp[:], buf) + var ret PublicKey + ret.Unpack(&tmp) + return &ret, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (sign.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, sign.ErrPrivKeySize + } + var tmp [PrivateKeySize]byte + copy(tmp[:], buf) + var ret PrivateKey + ret.Unpack(&tmp) + return &ret, nil +} diff --git a/src/circl/sign/schemes/schemes.go b/src/circl/sign/schemes/schemes.go new file mode 100644 index 00000000000..6f78fea7103 --- /dev/null +++ b/src/circl/sign/schemes/schemes.go @@ -0,0 +1,39 @@ +// Package schemes contains a register of signature algorithms. +package schemes + +import ( + "strings" + + "circl/sign" + "circl/sign/ed25519" + "circl/sign/ed448" + "circl/sign/eddilithium3" + "circl/sign/eddilithium4" +) + +var allSchemes = [...]sign.Scheme{ + ed25519.Scheme, + ed448.Scheme, + eddilithium3.Scheme, + eddilithium4.Scheme, +} + +var allSchemeNames map[string]sign.Scheme + +func init() { + allSchemeNames = make(map[string]sign.Scheme) + for _, scheme := range allSchemes { + allSchemeNames[strings.ToLower(scheme.Name())] = scheme + } +} + +// ByName returns the scheme with the given name and nil if it is not +// supported. +// +// Names are case insensitive. +func ByName(name string) sign.Scheme { + return allSchemeNames[strings.ToLower(name)] +} + +// All returns all signature schemes supported. +func All() []sign.Scheme { a := allSchemes; return a[:] } diff --git a/src/circl/sign/schemes/schemes_test.go b/src/circl/sign/schemes/schemes_test.go new file mode 100644 index 00000000000..d4eb8e7132e --- /dev/null +++ b/src/circl/sign/schemes/schemes_test.go @@ -0,0 +1,109 @@ +package schemes_test + +import ( + "fmt" + "testing" + + "circl/sign" + "circl/sign/schemes" +) + +func TestCaseSensitivity(t *testing.T) { + if schemes.ByName("ed25519") != schemes.ByName("Ed25519") { + t.Fatal() + } +} + +func TestApi(t *testing.T) { + allSchemes := schemes.All() + for _, scheme := range allSchemes { + scheme := scheme + t.Run(scheme.Name(), func(t *testing.T) { + if scheme == nil { + t.Fatal() + } + + pk, sk, err := scheme.GenerateKey() + if err != nil { + t.Fatal() + } + + packedPk, err := pk.MarshalBinary() + if err != nil { + t.Fatal() + } + + if len(packedPk) != scheme.PublicKeySize() { + t.Fatal() + } + + packedSk, err := sk.MarshalBinary() + if err != nil { + t.Fatal(err) + } + + if len(packedSk) != scheme.PrivateKeySize() { + t.Fatal() + } + + pk2, err := scheme.UnmarshalBinaryPublicKey(packedPk) + if err != nil { + t.Fatal(err) + } + + sk2, err := scheme.UnmarshalBinaryPrivateKey(packedSk) + if err != nil { + t.Fatal(err) + } + + if !sk.Equal(sk2) { + t.Fatal() + } + + if !pk.Equal(pk2) { + t.Fatal() + } + + msg := []byte(fmt.Sprintf("Signing with %s", scheme.Name())) + opts := &sign.SignatureOpts{} + if scheme.SupportsContext() { + opts.Context = "A context" + } + sig := scheme.Sign(sk, msg, opts) + + if scheme.SignatureSize() != len(sig) { + t.Fatal() + } + + if !scheme.Verify(pk2, msg, sig, opts) { + t.Fatal() + } + + if scheme.SupportsContext() { + opts2 := opts + opts2.Context = "Wrong context" + if scheme.Verify(pk2, msg, sig, opts2) { + t.Fatal() + } + } + + sig[0]++ + if scheme.Verify(pk2, msg, sig, opts) { + t.Fatal() + } + + scheme2 := schemes.ByName(scheme.Name()) + if scheme2 == nil || scheme2 != scheme { + t.Fatal() + } + + if pk.Scheme() != scheme { + t.Fatal() + } + + if sk.Scheme() != scheme { + t.Fatal() + } + }) + } +} diff --git a/src/circl/sign/sign.go b/src/circl/sign/sign.go new file mode 100644 index 00000000000..402bc910e01 --- /dev/null +++ b/src/circl/sign/sign.go @@ -0,0 +1,107 @@ +// Package sign provides unified interfaces for signature schemes. +// +// A register of schemes is available in the package +// +// circl/sign/schemes +package sign + +import ( + "crypto" + "encoding" + "errors" +) + +type SignatureOpts struct { + // If non-empty, includes the given context in the signature if supported + // and will cause an error during signing otherwise. + Context string +} + +// A public key is used to verify a signature set by the corresponding private +// key. +type PublicKey interface { + // Returns the signature scheme for this public key. + Scheme() Scheme + Equal(crypto.PublicKey) bool + encoding.BinaryMarshaler + crypto.PublicKey +} + +// A private key allows one to create signatures. +type PrivateKey interface { + // Returns the signature scheme for this private key. + Scheme() Scheme + + Equal(crypto.PrivateKey) bool + // For compatibility with Go standard library + crypto.Signer + crypto.PrivateKey + encoding.BinaryMarshaler +} + +// A Scheme represents a specific instance of a signature scheme. +type Scheme interface { + // Name of the scheme + Name() string + + // GenerateKey creates a new key-pair. + GenerateKey() (PublicKey, PrivateKey, error) + + // Creates a signature using the PrivateKey on the given message and + // returns the signature. opts are additional options which can be nil. + Sign(sk PrivateKey, message []byte, opts *SignatureOpts) []byte + + // Checks whether the given signature is a valid signature set by + // the private key corresponding to the given public key on the + // given message. opts are additional options which can be nil. + Verify(pk PublicKey, message []byte, signature []byte, opts *SignatureOpts) bool + + // Deterministically derives a keypair from a seed. If you're unsure, + // you're better off using GenerateKey(). + // + // Panics if seed is not of length SeedSize(). + DeriveKey(seed []byte) (PublicKey, PrivateKey) + + // Unmarshals a PublicKey from the provided buffer. + UnmarshalBinaryPublicKey([]byte) (PublicKey, error) + + // Unmarshals a PublicKey from the provided buffer. + UnmarshalBinaryPrivateKey([]byte) (PrivateKey, error) + + // Size of binary marshalled public keys + PublicKeySize() int + + // Size of binary marshalled public keys + PrivateKeySize() int + + // Size of signatures + SignatureSize() int + + // Size of seeds + SeedSize() int + + // Returns whether contexts are supported + SupportsContext() bool +} + +var ( + // ErrTypeMismatch is the error used if types of, for instance, private + // and public keys don't match + ErrTypeMismatch = errors.New("types mismatch") + + // ErrSeedSize is the error used if the provided seed is of the wrong + // size. + ErrSeedSize = errors.New("wrong seed size") + + // ErrPubKeySize is the error used if the provided public key is of + // the wrong size. + ErrPubKeySize = errors.New("wrong size for public key") + + // ErrPrivKeySize is the error used if the provided private key is of + // the wrong size. + ErrPrivKeySize = errors.New("wrong size for private key") + + // ErrContextNotSupported is the error used if a context is not + // supported + ErrContextNotSupported = errors.New("context not supported") +) From 23f9e99373612908ebfa6960664c48f76f5fa93e Mon Sep 17 00:00:00 2001 From: Bas Westerbaan Date: Wed, 19 Aug 2020 11:38:04 +0200 Subject: [PATCH 07/69] crypto: Add support for CIRCL signature schemes Co-authored-by: Christopher Patton --- src/crypto/tls/auth.go | 40 +- src/crypto/tls/auth_test.go | 4 +- src/crypto/tls/common.go | 1 + src/crypto/tls/generate_cert.go | 8 + src/crypto/tls/handshake_client.go | 4 +- src/crypto/tls/handshake_server.go | 4 +- src/crypto/tls/key_agreement.go | 2 +- src/crypto/tls/prf.go | 4 +- .../Client-TLSv10-ClientCert-ECDSA-ECDSA | 101 ++-- .../Client-TLSv10-ClientCert-ECDSA-RSA | 97 +-- .../Client-TLSv10-ClientCert-RSA-ECDSA | 99 ++-- .../testdata/Client-TLSv10-ClientCert-RSA-RSA | 97 +-- .../testdata/Client-TLSv10-ECDHE-ECDSA-AES | 81 +-- .../tls/testdata/Client-TLSv10-ECDHE-RSA-AES | 79 +-- .../Client-TLSv10-ExportKeyingMaterial | 79 +-- src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 | 47 +- .../testdata/Client-TLSv11-ECDHE-ECDSA-AES | 83 +-- .../tls/testdata/Client-TLSv11-ECDHE-RSA-AES | 79 +-- src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 | 47 +- .../testdata/Client-TLSv12-AES128-GCM-SHA256 | 51 +- .../tls/testdata/Client-TLSv12-AES128-SHA256 | 65 +- .../testdata/Client-TLSv12-AES256-GCM-SHA384 | 51 +- src/crypto/tls/testdata/Client-TLSv12-ALPN | 72 +-- .../Client-TLSv12-ClientCert-ECDSA-ECDSA | 101 ++-- .../Client-TLSv12-ClientCert-ECDSA-RSA | 91 +-- .../testdata/Client-TLSv12-ClientCert-Ed25519 | 79 +-- ...nt-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 | 91 +-- .../Client-TLSv12-ClientCert-RSA-ECDSA | 99 ++-- .../testdata/Client-TLSv12-ClientCert-RSA-RSA | 91 +-- .../Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 | 91 +-- .../Client-TLSv12-ClientCert-RSA-RSAPSS | 91 +-- .../testdata/Client-TLSv12-ECDHE-ECDSA-AES | 83 +-- .../Client-TLSv12-ECDHE-ECDSA-AES-GCM | 77 +-- .../Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 | 91 +-- ...lient-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 | 75 +-- ...lient-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 | 70 +-- .../tls/testdata/Client-TLSv12-ECDHE-RSA-AES | 79 +-- .../Client-TLSv12-ECDHE-RSA-AES128-SHA256 | 87 +-- .../Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 | 68 +-- src/crypto/tls/testdata/Client-TLSv12-Ed25519 | 61 +- .../Client-TLSv12-ExportKeyingMaterial | 69 +-- .../tls/testdata/Client-TLSv12-P256-ECDHE | 82 +-- src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 | 47 +- .../testdata/Client-TLSv12-RenegotiateOnce | 365 ++++++------ .../testdata/Client-TLSv12-RenegotiateTwice | 555 +++++++++--------- .../Client-TLSv12-RenegotiateTwiceRejected | 371 ++++++------ .../Client-TLSv12-RenegotiationRejected | 75 +-- src/crypto/tls/testdata/Client-TLSv12-SCT | 69 +-- .../tls/testdata/Client-TLSv12-X25519-ECDHE | 74 +-- .../tls/testdata/Client-TLSv13-AES128-SHA256 | 155 ++--- .../tls/testdata/Client-TLSv13-AES256-SHA384 | 159 ++--- src/crypto/tls/testdata/Client-TLSv13-ALPN | 160 ++--- .../testdata/Client-TLSv13-CHACHA20-SHA256 | 155 ++--- .../Client-TLSv13-ClientCert-ECDSA-RSA | 253 ++++---- .../testdata/Client-TLSv13-ClientCert-Ed25519 | 219 +++---- .../Client-TLSv13-ClientCert-RSA-ECDSA | 243 ++++---- .../Client-TLSv13-ClientCert-RSA-RSAPSS | 261 ++++---- src/crypto/tls/testdata/Client-TLSv13-ECDSA | 147 ++--- src/crypto/tls/testdata/Client-TLSv13-Ed25519 | 111 ++-- .../Client-TLSv13-ExportKeyingMaterial | 155 ++--- .../testdata/Client-TLSv13-HelloRetryRequest | 174 +++--- .../tls/testdata/Client-TLSv13-KeyUpdate | 171 +++--- .../tls/testdata/Client-TLSv13-P256-ECDHE | 162 ++--- .../tls/testdata/Client-TLSv13-X25519-ECDHE | 156 ++--- ...er-TLSv12-ClientAuthRequestedAndECDSAGiven | 80 +-- ...-TLSv12-ClientAuthRequestedAndEd25519Given | 170 +++--- .../Server-TLSv12-ClientAuthRequestedAndGiven | 80 +-- ...TLSv12-ClientAuthRequestedAndPKCS1v15Given | 80 +-- .../Server-TLSv12-ClientAuthRequestedNotGiven | 62 +- ...er-TLSv13-ClientAuthRequestedAndECDSAGiven | 344 +++++------ ...-TLSv13-ClientAuthRequestedAndEd25519Given | 284 ++++----- .../Server-TLSv13-ClientAuthRequestedAndGiven | 340 +++++------ .../Server-TLSv13-ClientAuthRequestedNotGiven | 194 +++--- src/crypto/tls/tls.go | 15 +- src/crypto/tls/tls_cf.go | 47 ++ src/crypto/x509/pkcs8.go | 36 +- src/crypto/x509/x509.go | 78 ++- src/crypto/x509/x509_cf.go | 73 +++ src/crypto/x509/x509_test.go | 19 + 79 files changed, 4634 insertions(+), 4276 deletions(-) create mode 100644 src/crypto/tls/tls_cf.go create mode 100644 src/crypto/x509/x509_cf.go diff --git a/src/crypto/tls/auth.go b/src/crypto/tls/auth.go index a9df0da6d62..9d3efe2d71e 100644 --- a/src/crypto/tls/auth.go +++ b/src/crypto/tls/auth.go @@ -5,6 +5,9 @@ package tls import ( + circlPki "circl/pki" + circlSign "circl/sign" + "bytes" "crypto" "crypto/ecdsa" @@ -55,7 +58,17 @@ func verifyHandshakeSignature(sigType uint8, pubkey crypto.PublicKey, hashFunc c return err } default: - return errors.New("internal error: unknown signature type") + scheme := circlSchemeBySigType(sigType) + if scheme == nil { + return errors.New("internal error: unknown signature type") + } + pubKey, ok := pubkey.(circlSign.PublicKey) + if !ok { + return fmt.Errorf("expected a %s public key, got %T", scheme.Name(), pubkey) + } + if !scheme.Verify(pubKey, signed, sig, nil) { + return fmt.Errorf("%s verification failure", scheme.Name()) + } } return nil } @@ -106,7 +119,15 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType case Ed25519: sigType = signatureEd25519 default: - return 0, 0, fmt.Errorf("unsupported signature algorithm: %v", signatureAlgorithm) + scheme := circlPki.SchemeByTLSID(uint(signatureAlgorithm)) + if scheme == nil { + return 0, 0, fmt.Errorf("unsupported signature algorithm: %v", signatureAlgorithm) + } + sigType = sigTypeByCirclScheme(scheme) + if sigType == 0 { + return 0, 0, fmt.Errorf("circl scheme %s not supported", + scheme.Name()) + } } switch signatureAlgorithm { case PKCS1WithSHA1, ECDSAWithSHA1: @@ -120,7 +141,11 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType case Ed25519: hash = directSigning default: - return 0, 0, fmt.Errorf("unsupported signature algorithm: %v", signatureAlgorithm) + scheme := circlPki.SchemeByTLSID(uint(signatureAlgorithm)) + if scheme == nil { + return 0, 0, fmt.Errorf("unsupported signature algorithm: %v", signatureAlgorithm) + } + hash = directSigning } return sigType, hash, nil } @@ -140,6 +165,8 @@ func legacyTypeAndHashFromPublicKey(pub crypto.PublicKey) (sigType uint8, hash c // full signature, and not even OpenSSL bothers with the // complexity, so we can't even test it properly. return 0, 0, fmt.Errorf("tls: Ed25519 public keys are not supported before TLS 1.2") + case circlSign.PublicKey: + return 0, 0, fmt.Errorf("tls: circl public keys are not supported before TLS 1.2") default: return 0, 0, fmt.Errorf("tls: unsupported public key: %T", pub) } @@ -209,6 +236,13 @@ func signatureSchemesForCertificate(version uint16, cert *Certificate) []Signatu } case ed25519.PublicKey: sigAlgs = []SignatureScheme{Ed25519} + case circlSign.PublicKey: + scheme := pub.Scheme() + tlsScheme, ok := scheme.(circlPki.TLSScheme) + if !ok { + return nil + } + sigAlgs = []SignatureScheme{SignatureScheme(tlsScheme.TLSIdentifier())} default: return nil } diff --git a/src/crypto/tls/auth_test.go b/src/crypto/tls/auth_test.go index c42e3491e46..0caba3c5749 100644 --- a/src/crypto/tls/auth_test.go +++ b/src/crypto/tls/auth_test.go @@ -7,6 +7,8 @@ package tls import ( "crypto" "testing" + + circlPki "circl/pki" ) func TestSignatureSelection(t *testing.T) { @@ -161,7 +163,7 @@ func TestSupportedSignatureAlgorithms(t *testing.T) { if sigType == 0 { t.Errorf("%v: missing signature type", sigAlg) } - if hash == 0 && sigAlg != Ed25519 { + if hash == 0 && sigAlg != Ed25519 && circlPki.SchemeByTLSID(uint(sigAlg)) == nil { t.Errorf("%v: missing hash", sigAlg) } } diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index eec6e1ebbd9..b2580d232bc 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -166,6 +166,7 @@ const ( signatureRSAPSS signatureECDSA signatureEd25519 + signatureEdDilithium3 ) // directSigning is a standard Hash value that signals that no pre-hashing diff --git a/src/crypto/tls/generate_cert.go b/src/crypto/tls/generate_cert.go index 1857185fe4d..3fc35d0669f 100644 --- a/src/crypto/tls/generate_cert.go +++ b/src/crypto/tls/generate_cert.go @@ -10,6 +10,7 @@ package main import ( + circlSchemes "circl/sign/schemes" "crypto/ecdsa" "crypto/ed25519" "crypto/elliptic" @@ -35,6 +36,7 @@ var ( rsaBits = flag.Int("rsa-bits", 2048, "Size of RSA key to generate. Ignored if --ecdsa-curve is set") ecdsaCurve = flag.String("ecdsa-curve", "", "ECDSA curve to use to generate a key. Valid values are P224, P256 (recommended), P384, P521") ed25519Key = flag.Bool("ed25519", false, "Generate an Ed25519 key") + circlKey = flag.String("circl", "", "Generate a key supported by Circl") ) func publicKey(priv interface{}) interface{} { @@ -63,6 +65,12 @@ func main() { case "": if *ed25519Key { _, priv, err = ed25519.GenerateKey(rand.Reader) + } else if *circlKey != "" { + scheme := circlSchemes.ByName(*circlKey) + if scheme == nil { + log.Fatalf("No such Circl scheme: %s", scheme) + } + _, priv, err = scheme.GenerateKey() } else { priv, err = rsa.GenerateKey(rand.Reader, *rsaBits) } diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index e684b21d527..773bd4fed10 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -20,6 +20,8 @@ import ( "strings" "sync/atomic" "time" + + circlSign "circl/sign" ) type clientHandshakeState struct { @@ -852,7 +854,7 @@ func (c *Conn) verifyServerCertificate(certificates [][]byte) error { } switch certs[0].PublicKey.(type) { - case *rsa.PublicKey, *ecdsa.PublicKey, ed25519.PublicKey: + case *rsa.PublicKey, *ecdsa.PublicKey, ed25519.PublicKey, circlSign.PublicKey: break default: c.sendAlert(alertUnsupportedCertificate) diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 9c3e0f636ea..0df9970278b 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -5,6 +5,8 @@ package tls import ( + circlSign "circl/sign" + "crypto" "crypto/ecdsa" "crypto/ed25519" @@ -811,7 +813,7 @@ func (c *Conn) processCertsFromClient(certificate Certificate) error { if len(certs) > 0 { switch certs[0].PublicKey.(type) { - case *ecdsa.PublicKey, *rsa.PublicKey, ed25519.PublicKey: + case *ecdsa.PublicKey, *rsa.PublicKey, ed25519.PublicKey, circlSign.PublicKey: default: c.sendAlert(alertUnsupportedCertificate) return fmt.Errorf("tls: client certificate contains an unsupported public key of type %T", certs[0].PublicKey) diff --git a/src/crypto/tls/key_agreement.go b/src/crypto/tls/key_agreement.go index 7e6534bd465..1542eec14ea 100644 --- a/src/crypto/tls/key_agreement.go +++ b/src/crypto/tls/key_agreement.go @@ -106,7 +106,7 @@ func md5SHA1Hash(slices [][]byte) []byte { // the sigType (for earlier TLS versions). For Ed25519 signatures, which don't // do pre-hashing, it returns the concatenation of the slices. func hashForServerKeyExchange(sigType uint8, hashFunc crypto.Hash, version uint16, slices ...[]byte) []byte { - if sigType == signatureEd25519 { + if sigType == signatureEd25519 || circlSchemeBySigType(sigType) != nil { var signed []byte for _, slice := range slices { signed = append(signed, slice...) diff --git a/src/crypto/tls/prf.go b/src/crypto/tls/prf.go index 13bfa009ca4..c153504078b 100644 --- a/src/crypto/tls/prf.go +++ b/src/crypto/tls/prf.go @@ -216,11 +216,11 @@ func (h finishedHash) serverSum(masterSecret []byte) []byte { // hashForClientCertificate returns the handshake messages so far, pre-hashed if // necessary, suitable for signing by a TLS client certificate. func (h finishedHash) hashForClientCertificate(sigType uint8, hashAlg crypto.Hash, masterSecret []byte) []byte { - if (h.version >= VersionTLS12 || sigType == signatureEd25519) && h.buffer == nil { + if (h.version >= VersionTLS12 || sigType == signatureEd25519 || circlSchemeBySigType(sigType) != nil) && h.buffer == nil { panic("tls: handshake hash for a client certificate requested after discarding the handshake buffer") } - if sigType == signatureEd25519 { + if sigType == signatureEd25519 || circlSchemeBySigType(sigType) != nil { return h.buffer } diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA index 9de3f1437b4..6fda129627a 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 94 1f ba 79 da |....Y...U.....y.| -00000010 4b 58 3e 08 2c c5 31 36 a4 7e 32 bf e1 a0 f7 71 |KX>.,.16.~2....q| -00000020 01 48 63 3c 5f cb 08 7a 25 80 c7 20 35 0c c0 8b |.Hc<_..z%.. 5...| -00000030 df 30 fc dc 3d f1 48 96 0d b6 ff a8 cd 35 29 57 |.0..=.H......5)W| -00000040 7d 3f c2 9d e2 32 b1 c2 4c 05 5e 3b c0 09 00 00 |}?...2..L.^;....| +00000000 16 03 01 00 59 02 00 00 55 03 01 09 68 1e 95 bd |....Y...U...h...| +00000010 f3 a3 32 97 d0 26 e7 c7 a5 5c b2 31 6c e2 07 41 |..2..&...\.1l..A| +00000020 95 59 75 18 52 a8 7d 77 5a 1e be 20 35 f2 d1 f7 |.Yu.R.}wZ.. 5...| +00000030 cf 70 2a 47 5a 5c bb 36 51 4c 5e f4 82 f4 db 12 |.p*GZ\.6QL^.....| +00000040 85 7f d6 14 64 f2 e0 68 cd d0 60 1a c0 09 00 00 |....d..h..`.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 1a 74 |*............ .t| -00000280 c4 96 9e 65 45 9a 0a 01 7c ed 7b 51 01 d8 ba 5b |...eE...|.{Q...[| -00000290 3e 2f b1 4b 36 69 e8 47 75 7e 27 be b3 2f 00 8b |>/.K6i.Gu~'../..| -000002a0 30 81 88 02 42 01 cb 20 d9 1e ae 05 6f 1f 37 ce |0...B.. ....o.7.| -000002b0 dc 38 20 2f 8f 52 9a 92 f6 80 d6 f9 97 99 a5 8b |.8 /.R..........| -000002c0 6e 73 0b 95 a4 4e 82 67 bd 1a 34 d9 5c 4e b4 d7 |ns...N.g..4.\N..| -000002d0 35 e6 45 81 14 23 9c 4e 5a 4c 1b 93 fd 7f 43 18 |5.E..#.NZL....C.| -000002e0 db 54 4b e0 d1 d3 fa 02 42 00 ab 8e 34 d5 c2 04 |.TK.....B...4...| -000002f0 d0 a4 44 b1 b3 25 a0 af c8 80 b3 88 ae da b3 c6 |..D..%..........| -00000300 4f 57 ae 31 54 c6 d9 ee 4e 21 56 01 cc b9 6a e9 |OW.1T...N!V...j.| -00000310 e9 7e 62 2a 64 0e a4 a0 79 1e a3 64 52 70 b1 a5 |.~b*d...y..dRp..| -00000320 19 2c a4 6d 4b 3b a3 63 ed 56 2f 16 03 01 00 0a |.,.mK;.c.V/.....| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 36 53 |*............ 6S| +00000280 94 7c 57 6e f5 8d b7 95 4a 33 d3 6b aa 6e 29 68 |.|Wn....J3.k.n)h| +00000290 d4 5f e7 14 74 54 e7 03 7f fa 08 4d 7c 5f 00 8b |._..tT.....M|_..| +000002a0 30 81 88 02 42 01 d6 dd 50 59 30 e7 07 5a 06 a5 |0...B...PY0..Z..| +000002b0 01 36 99 be 5b f5 d2 8c de 25 3c 54 bd a7 af 73 |.6..[....%>> Flow 3 (client to server) @@ -105,30 +106,30 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 90 0f 00 |...._X.;t.......| -00000240 00 8c 00 8a 30 81 87 02 42 01 89 0f 43 df a8 34 |....0...B...C..4| -00000250 dd d7 c9 d4 2b 8d ec 29 77 7b 64 d0 0e 8c e8 2b |....+..)w{d....+| -00000260 e3 25 1c ed 0a 1b 05 e0 66 42 37 c0 e6 fa 3e 81 |.%......fB7...>.| -00000270 ec e1 06 99 f4 62 3f ea 55 79 ae 68 56 9e e3 3c |.....b?.Uy.hV..<| -00000280 83 ba 9b 1c 65 b9 eb a6 e7 f7 4e 02 41 61 2c 52 |....e.....N.Aa,R| -00000290 4c 48 92 b0 93 d8 31 58 c3 90 b0 e3 7d 55 94 fc |LH....1X....}U..| -000002a0 70 bf 18 42 51 73 d0 45 17 2e 0e 00 b0 12 76 0d |p..BQs.E......v.| -000002b0 35 78 cb fd 34 60 36 ff ed 19 ef 0a 1e 21 cc 4c |5x..4`6......!.L| -000002c0 9a ff a0 f7 cf 72 03 cd 00 bb 73 0d 1d e5 14 03 |.....r....s.....| -000002d0 01 00 01 01 16 03 01 00 30 69 76 1f 5b 81 5f 62 |........0iv.[._b| -000002e0 cf d5 d9 2c 19 71 80 d0 2a 97 8a 89 21 7f 6d 02 |...,.q..*...!.m.| -000002f0 b6 01 a4 ed fe 18 9f 34 ae 95 f6 a1 29 0b 9a 1c |.......4....)...| -00000300 04 b6 ce c7 d1 0c 5a b5 3f |......Z.?| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| +00000240 00 8d 00 8b 30 81 88 02 42 01 c0 2e 6f 21 78 02 |....0...B...o!x.| +00000250 18 c8 8a f8 58 ae 7e 72 de 74 e3 f1 8e b5 36 a1 |....X.~r.t....6.| +00000260 db f7 f0 e5 a7 ea c7 6d 13 0a 5d c4 c8 7d db 16 |.......m..]..}..| +00000270 9c bd b3 b5 41 5a f6 34 48 89 25 2b 37 55 df c0 |....AZ.4H.%+7U..| +00000280 c2 e3 a5 aa 39 37 1e 61 72 50 70 02 42 01 dd b7 |....97.arPp.B...| +00000290 b7 43 7b 22 0e 99 49 1b 7f 55 ae a2 a6 58 3e 2a |.C{"..I..U...X>*| +000002a0 33 42 ab 2e d9 f5 b9 88 6f cb 3b 0e 3b fd 75 7c |3B......o.;.;.u|| +000002b0 f9 2c 07 a8 3f 59 75 bf ef 57 78 df ed f1 00 8e |.,..?Yu..Wx.....| +000002c0 73 17 36 74 3b f3 3e ec 65 85 92 04 ad 94 81 14 |s.6t;.>.e.......| +000002d0 03 01 00 01 01 16 03 01 00 30 cd a0 a7 81 81 69 |.........0.....i| +000002e0 bc 98 74 e0 ae 41 0f e4 5c 4d a1 ac 19 a3 e1 29 |..t..A..\M.....)| +000002f0 f7 51 fc 18 60 4a a2 c6 3c c6 fb 7e 5b d8 d1 b2 |.Q..`J..<..~[...| +00000300 07 0d 97 ee ea 33 91 dc 16 17 |.....3....| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 7d 4b fc 73 20 |..........0}K.s | -00000010 e4 ac c4 39 15 79 e3 89 e1 24 ce 28 30 e5 f1 87 |...9.y...$.(0...| -00000020 cd c0 cc 39 a8 77 3b 06 a5 f9 b0 a1 3d 54 53 3b |...9.w;.....=TS;| -00000030 53 ec ac b2 ea 24 1b 2d 6a ef c3 |S....$.-j..| +00000000 14 03 01 00 01 01 16 03 01 00 30 fc 7c 3c 17 d7 |..........0.|<..| +00000010 14 e7 7a 17 7e 0d 44 62 d6 14 2f ad 2f ec f6 25 |..z.~.Db.././..%| +00000020 92 91 55 61 fb 0b 14 08 1b ef 66 28 5a ff 3b 0a |..Ua......f(Z.;.| +00000030 62 ad 55 2a 97 0b 77 22 5c d7 4c |b.U*..w"\.L| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 9d 57 d2 4b 5b 7e 7d 7c 28 f7 8e |.... .W.K[~}|(..| -00000010 00 0a b6 1c 3c 6b df 4d 06 c0 f8 db 86 2e 8f 8e |....>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 97 0c 7e fc 7f |....Y...U....~..| -00000010 96 47 02 21 a7 19 45 a5 79 5c 5e fc c2 15 b3 fa |.G.!..E.y\^.....| -00000020 84 98 7d 67 65 c8 48 58 a1 5d 67 20 ad 2a c6 b3 |..}ge.HX.]g .*..| -00000030 a4 17 82 12 4a c5 97 af 12 6b 7d f6 9e 49 f1 38 |....J....k}..I.8| -00000040 d0 56 76 bc 81 23 ad 3a 3e 7f bc 2d c0 13 00 00 |.Vv..#.:>..-....| +00000000 16 03 01 00 59 02 00 00 55 03 01 da e9 91 aa ce |....Y...U.......| +00000010 2e 2d 8a 34 b8 dc dd c1 f1 8c ab c8 96 c2 ed 18 |.-.4............| +00000020 70 44 cc b0 77 09 0a 3e 9f 9d f5 20 d5 2b 3a b3 |pD..w..>... .+:.| +00000030 55 0b 0b 99 82 c5 eb 12 69 d1 b0 ae 27 9c b5 44 |U.......i...'..D| +00000040 e3 2f 38 0e c9 5d e6 f0 05 85 90 1b c0 13 00 00 |./8..]..........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 a4 24 f7 67 e3 da fa |........ .$.g...| -000002d0 10 33 95 b4 46 00 c0 3c cd 74 12 e4 a3 3b 01 70 |.3..F..<.t...;.p| -000002e0 fb 98 01 9a e9 2d d0 18 7b 00 80 ce c5 7b 4b 87 |.....-..{....{K.| -000002f0 cd bc 5d 63 09 7e d4 ce 09 53 7a 1b e5 b4 10 54 |..]c.~...Sz....T| -00000300 89 52 ac 82 9c 78 88 ed e8 1a 8c 3a 7a 2c 9a c5 |.R...x.....:z,..| -00000310 2b 97 1c 79 43 bd b1 ee 93 6f 4c 4d fc 3c 47 91 |+..yC....oLM.r..r...A..t| +000002f0 ea 83 fc 9f ea ba cd f7 5d 77 b5 39 f8 69 9a 10 |........]w.9.i..| +00000300 f8 9b 7e e6 ee ee da 28 b0 f2 93 9f 9f 2b 6f e4 |..~....(.....+o.| +00000310 48 bf 6e 8b db e8 98 45 e8 8f 4a d7 a6 61 44 24 |H.n....E..J..aD$| +00000320 f2 f0 16 81 0e 7f 75 1c 65 7a a4 ae 39 b3 0f e9 |......u.ez..9...| +00000330 d0 1a 53 3c 6e 28 c5 c8 b5 89 f5 e4 f1 e7 50 50 |..S>> Flow 3 (client to server) @@ -110,29 +111,29 @@ 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| 00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| -00000240 00 8d 00 8b 30 81 88 02 42 01 71 f3 c4 3a 85 08 |....0...B.q..:..| -00000250 3b 18 26 48 5c 3f c3 8a 4f e9 d7 29 48 59 1a 35 |;.&H\?..O..)HY.5| -00000260 ee b3 0d 5e 29 03 1d 34 95 0e 40 73 85 13 14 d0 |...^)..4..@s....| -00000270 fb fb 96 77 21 fb d8 43 d7 e2 bf 2c 95 7b 75 5d |...w!..C...,.{u]| -00000280 59 15 81 71 d2 b6 82 96 d9 cc 78 02 42 01 d3 51 |Y..q......x.B..Q| -00000290 af 25 d0 f8 a4 e2 e7 8e 7e 46 56 53 8f d1 09 f6 |.%......~FVS....| -000002a0 76 88 5a 42 83 89 92 7b c7 e4 40 9c 3d 05 ac 43 |v.ZB...{..@.=..C| -000002b0 bf 6e 24 14 fe 36 f8 43 a6 90 8e a1 bd e2 92 84 |.n$..6.C........| -000002c0 60 e3 92 34 1c 7b 53 d5 57 6d 23 32 12 a8 23 14 |`..4.{S.Wm#2..#.| -000002d0 03 01 00 01 01 16 03 01 00 30 6f 06 c7 84 fa 7f |.........0o.....| -000002e0 c9 66 a9 6f 26 37 45 db 42 c8 8f 63 c3 5b 05 07 |.f.o&7E.B..c.[..| -000002f0 ef 07 41 be 71 60 35 d3 16 8f 92 f6 89 cb c7 dc |..A.q`5.........| -00000300 4e 45 61 99 31 45 66 40 36 86 |NEa.1Ef@6.| +00000240 00 8d 00 8b 30 81 88 02 42 01 92 c7 12 f7 3e 6b |....0...B.....>k| +00000250 24 ac 5a 37 1d 15 3b 04 ea 70 ed b2 55 99 81 af |$.Z7..;..p..U...| +00000260 e7 10 74 26 b0 ea 87 58 69 5d ec 59 42 34 7b ff |..t&...Xi].YB4{.| +00000270 ae f4 8d 1d 80 8d f6 93 1e 19 00 bf 96 5c 39 6e |.............\9n| +00000280 24 9e a6 ae b2 6c 64 a3 9e 97 76 02 42 01 be a5 |$....ld...v.B...| +00000290 09 9c 62 45 b9 7d ec 2e 5b 50 4e 9a 3e 3c 12 86 |..bE.}..[PN.><..| +000002a0 d6 86 0c 47 30 c9 ec 83 4b e2 ca 93 37 07 a6 01 |...G0...K...7...| +000002b0 b9 1e 10 e2 b3 c2 fe 48 84 51 17 5a 1a c6 56 bf |.......H.Q.Z..V.| +000002c0 b3 44 d2 e2 4a a6 4f c1 f6 01 cb 62 4b 2b bb 14 |.D..J.O....bK+..| +000002d0 03 01 00 01 01 16 03 01 00 30 49 72 e3 d7 21 44 |.........0Ir..!D| +000002e0 fa 0e 11 82 29 bc da bc a3 4a e0 79 10 53 d4 b6 |....)....J.y.S..| +000002f0 ad 3a 3f 57 1a c0 d6 4b 85 a5 f8 f5 41 70 0a b6 |.:?W...K....Ap..| +00000300 6d dd b8 64 42 c1 44 fa 0f 59 |m..dB.D..Y| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 d3 83 ac 08 7f |..........0.....| -00000010 a1 91 51 7c b7 99 6f 24 cd b1 cd 31 7b 12 20 47 |..Q|..o$...1{. G| -00000020 66 08 22 f6 28 ea 81 fe 92 b5 c8 40 60 bc 5b 19 |f.".(......@`.[.| -00000030 e0 2b d1 26 fd 4c 12 22 c5 13 9a |.+.&.L."...| +00000000 14 03 01 00 01 01 16 03 01 00 30 36 c4 ff 5e 8b |..........06..^.| +00000010 a6 04 e9 aa 20 44 b0 7e 47 df be 6a 0e 60 d5 df |.... D.~G..j.`..| +00000020 8a f1 d0 30 64 a1 eb c3 07 e2 04 af 22 ec 42 3f |...0d.......".B?| +00000030 7c f9 04 72 95 c0 b2 98 9d 87 96 ||..r.......| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 79 06 89 7e e0 17 9a e3 dc 4c ee |.... y..~.....L.| -00000010 70 63 13 bc 27 f5 43 fa f8 90 49 d9 89 43 7a 15 |pc..'.C...I..Cz.| -00000020 d4 e2 a8 e6 3e 17 03 01 00 20 ea 84 0e 21 62 d5 |....>.... ...!b.| -00000030 ee 26 5e fc 3e 0c 83 3b 91 01 c4 a7 8e 9b c4 1a |.&^.>..;........| -00000040 86 f8 a0 44 21 44 2f 31 cf a1 15 03 01 00 20 c6 |...D!D/1...... .| -00000050 11 f1 65 ea f3 39 d1 d2 ac 95 1f 81 36 ae db b1 |..e..9......6...| -00000060 88 a8 42 25 86 ec 1b c1 7e 12 60 a9 6b 7f 66 |..B%....~.`.k.f| +00000000 17 03 01 00 20 2f 66 94 95 20 75 6f c8 ae bf 94 |.... /f.. uo....| +00000010 2c e2 d3 a9 fb 7c 06 4e a4 da 6a 7a 59 2f 58 4d |,....|.N..jzY/XM| +00000020 de 17 a7 12 05 17 03 01 00 20 31 12 23 d0 12 59 |......... 1.#..Y| +00000030 24 a5 a1 3d 1c a0 de 76 26 c6 68 52 2f 9c 49 4c |$..=...v&.hR/.IL| +00000040 48 c2 f6 ba d1 ec 8c 51 67 53 15 03 01 00 20 b5 |H......QgS.... .| +00000050 e1 c3 c7 67 54 13 95 b9 60 cd 88 2f 59 6b 5f c9 |...gT...`../Yk_.| +00000060 dc c6 78 57 ca 4c 27 35 dc 2d 08 3c 6d 46 6c |..xW.L'5.-.>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 3b 4c b9 76 d2 |....Y...U..;L.v.| -00000010 c3 d1 ea 81 71 1a 10 e1 b1 69 5c 54 c2 df 17 0a |....q....i\T....| -00000020 de 41 cb d1 69 c3 9a da 90 fd 25 20 1e 02 11 16 |.A..i.....% ....| -00000030 ab 66 13 56 3d 94 00 a9 80 7c d8 57 12 99 1c 5f |.f.V=....|.W..._| -00000040 7a b2 02 8c 23 f3 76 b8 59 5e 16 dd c0 09 00 00 |z...#.v.Y^......| +00000000 16 03 01 00 59 02 00 00 55 03 01 15 a0 45 2f a8 |....Y...U....E/.| +00000010 e7 84 cc df 25 84 ad e6 dd 07 0d d3 b7 c8 8c 32 |....%..........2| +00000020 35 7e c1 c5 06 7d 22 01 d9 21 1e 20 b6 6d 34 23 |5~...}"..!. .m4#| +00000030 d7 c6 a5 6e 7c 81 fa 46 ec bb ba c5 d9 5b 84 82 |...n|..F.....[..| +00000040 85 2e 56 04 32 46 ce e2 0b c8 7d 82 c0 09 00 00 |..V.2F....}.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 16 64 |*............ .d| -00000280 ca 24 70 6f 61 2f 9e 2d 43 0a 73 ac 67 f0 7a e5 |.$poa/.-C.s.g.z.| -00000290 c7 4e c4 1f ad 13 0d eb df ff 0d ff a3 27 00 8b |.N...........'..| -000002a0 30 81 88 02 42 01 1a 33 8b 88 78 ed 5c c1 56 0d |0...B..3..x.\.V.| -000002b0 75 51 69 a0 e7 45 6d ae b0 67 55 3f be 23 3e 92 |uQi..Em..gU?.#>.| -000002c0 fe 26 68 a2 30 84 2f b3 33 66 f6 dd 71 67 99 5e |.&h.0./.3f..qg.^| -000002d0 1c 6f bf 87 ed 33 a0 87 69 f6 35 65 8d cb 3a 7e |.o...3..i.5e..:~| -000002e0 95 a7 a4 40 54 cb 97 02 42 00 a3 fe 50 34 68 9f |...@T...B...P4h.| -000002f0 f2 43 98 23 e4 24 ad 36 e9 d3 e0 75 2c 11 46 6c |.C.#.$.6...u,.Fl| -00000300 48 33 c5 bc 2d 04 ff cc bb ec 38 ec f4 b3 55 31 |H3..-.....8...U1| -00000310 8a 6e 38 a5 6d a0 9c fc f6 98 75 48 c6 79 53 de |.n8.m.....uH.yS.| -00000320 dd 91 49 f0 b6 32 83 45 61 89 4e 16 03 01 00 0a |..I..2.Ea.N.....| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 51 14 |*............ Q.| +00000280 f9 05 aa 63 90 72 8e 2c 58 56 09 2a be 61 12 01 |...c.r.,XV.*.a..| +00000290 db 65 66 65 f5 93 57 f1 bf f8 7f 64 bd 6c 00 8b |.efe..W....d.l..| +000002a0 30 81 88 02 42 01 40 11 7a ba 8a 2e 34 3e 06 63 |0...B.@.z...4>.c| +000002b0 80 82 05 10 a2 be 4a ec ce ed b4 7d f2 17 cd 7d |......J....}...}| +000002c0 38 ef f8 90 d5 ee 89 8c 01 77 53 76 c8 cd 1d 51 |8........wSv...Q| +000002d0 ba 6c 85 fc 5e 88 51 b9 71 0b 05 ea d9 17 e4 b2 |.l..^.Q.q.......| +000002e0 7e ed 74 21 5c 36 2f 02 42 01 fb 77 8a 2a c7 0d |~.t!\6/.B..w.*..| +000002f0 0c 96 d6 05 be 4d 4f 0e 3c 18 02 e9 40 da 42 44 |.....MO.<...@.BD| +00000300 e1 24 15 00 26 1e 1e 3c b0 d3 1f 92 12 e0 b2 65 |.$..&..<.......e| +00000310 ae 86 e4 a1 ed 19 fd 03 8e 1a b9 65 96 51 3c 0d |...........e.Q<.| +00000320 69 45 5a cb ba e3 5d 1c 0e 19 55 16 03 01 00 0a |iEZ...]...U.....| 00000330 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000340 00 00 00 |...| >>> Flow 3 (client to server) @@ -105,29 +106,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 90 68 a8 2f 6f 2b 70 e4 25 |........h./o+p.%| -00000240 7d fb b7 85 db 44 ec 1a ad 6d 84 fb 95 21 fa 24 |}....D...m...!.$| -00000250 7b 31 6a 97 4f 06 ee 87 22 c3 7c 81 70 ed e3 2a |{1j.O...".|.p..*| -00000260 d5 2c d1 4e 6d f0 12 52 2f 98 05 08 af 41 fa 87 |.,.Nm..R/....A..| -00000270 d1 62 98 6c 06 47 ec 7a 44 e0 7d ae 7a 7d ef 1b |.b.l.G.zD.}.z}..| -00000280 d5 2c fa 1b 70 a3 fb 9a 5d 8c 60 b4 44 6a e5 b8 |.,..p...].`.Dj..| -00000290 80 4c 29 fc f1 2d f1 11 46 81 c4 01 e4 11 2e 05 |.L)..-..F.......| -000002a0 cb 2b ca d9 4a 14 39 06 93 77 19 db 80 03 82 38 |.+..J.9..w.....8| -000002b0 e5 c1 0f 11 17 47 a7 14 03 01 00 01 01 16 03 01 |.....G..........| -000002c0 00 30 a6 68 28 50 75 6d eb f4 32 c8 a3 57 3f b1 |.0.h(Pum..2..W?.| -000002d0 37 84 8e 7e 1d 1d 93 7d 9f ec ff ac 1c 8d bf 30 |7..~...}.......0| -000002e0 d2 b0 0f 3f 02 c3 ef ac a3 62 94 26 1c 8f 7e 8d |...?.....b.&..~.| -000002f0 74 99 |t.| +00000230 86 0f 00 00 82 00 80 4a a9 44 5d 44 d0 6e 93 4e |.......J.D]D.n.N| +00000240 36 46 b2 d1 0d e9 8e 13 3c f3 13 97 54 48 b8 a2 |6F......<...TH..| +00000250 4a 4b 6b 29 24 17 3d 00 a7 27 f7 0a a2 d3 2e 5d |JKk)$.=..'.....]| +00000260 77 43 f6 b9 6c 6c 95 3d 57 f7 9a 08 04 37 76 ba |wC..ll.=W....7v.| +00000270 49 76 b9 49 0c bb 79 14 79 e3 ff 73 ae d1 b8 70 |Iv.I..y.y..s...p| +00000280 ec 98 a6 0a d6 24 01 e8 f7 ed 51 10 c5 67 09 b9 |.....$....Q..g..| +00000290 5d 51 c5 fd 6f 32 d0 ff 26 38 5d 62 59 92 46 4e |]Q..o2..&8]bY.FN| +000002a0 c5 9e f3 37 86 90 03 9d d4 dc fe 9e e8 84 af 7a |...7...........z| +000002b0 14 a2 69 ff 99 5f a7 14 03 01 00 01 01 16 03 01 |..i.._..........| +000002c0 00 30 29 a5 1e e9 58 1b 8d 0d cd 2c 8f d4 82 b1 |.0)...X....,....| +000002d0 7c 50 f9 f3 84 5c 1a 28 b3 b9 83 5e 76 b9 4c b2 ||P...\.(...^v.L.| +000002e0 57 dd 85 ca 4e cb 00 84 29 31 ee 5a aa 6b 81 1e |W...N...)1.Z.k..| +000002f0 76 ac |v.| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 80 3e 0d 50 13 |..........0.>.P.| -00000010 5f 00 ba 2e 47 46 5d 63 1b 72 a8 02 24 1c 3e 1f |_...GF]c.r..$.>.| -00000020 ed e2 3a 45 d7 7d 3a f2 33 97 c3 ab 13 9b 0e 4a |..:E.}:.3......J| -00000030 04 f0 08 48 ab d3 46 0b 40 7d 5c |...H..F.@}\| +00000000 14 03 01 00 01 01 16 03 01 00 30 77 1f 9a 38 6c |..........0w..8l| +00000010 73 af 46 87 88 41 02 d4 c6 ef 87 9c d7 c9 b5 20 |s.F..A......... | +00000020 ed 2a 73 4c 52 07 85 3f 7a ef bc 26 f4 f2 e5 7b |.*sLR..?z..&...{| +00000030 ed f1 79 d4 78 74 18 fd 57 0c 1d |..y.xt..W..| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 f7 32 e7 36 4f 77 2f 4a 05 fd 27 |.... .2.6Ow/J..'| -00000010 19 57 52 f7 8a 0c 7f fb 14 78 b2 06 bf ca 86 73 |.WR......x.....s| -00000020 32 13 33 04 91 17 03 01 00 20 7e e4 fe c5 6d f7 |2.3...... ~...m.| -00000030 d4 69 30 57 89 a0 76 70 40 a7 b5 17 74 2f 5d 16 |.i0W..vp@...t/].| -00000040 c1 19 30 73 f8 37 c4 10 5b b7 15 03 01 00 20 08 |..0s.7..[..... .| -00000050 41 5e 0b 9f 36 23 bd 9a 09 f7 58 9d a3 d7 26 3a |A^..6#....X...&:| -00000060 f4 5e 6b bf 9c d4 6f 0c d3 9e cd de cb 95 57 |.^k...o.......W| +00000000 17 03 01 00 20 46 89 a0 2c dd 3b 22 21 c9 2d 7e |.... F..,.;"!.-~| +00000010 93 6f 20 f3 b1 95 b5 38 da 47 11 d0 22 6f 82 05 |.o ....8.G.."o..| +00000020 7e 58 5a ae f8 17 03 01 00 20 4a e1 5c cf 8f a6 |~XZ...... J.\...| +00000030 48 b2 8c 3e 59 a6 68 ff cb 29 33 d4 ef 57 ec 9a |H..>Y.h..)3..W..| +00000040 1b a1 e8 f3 31 58 61 12 0d da 15 03 01 00 20 16 |....1Xa....... .| +00000050 b0 ec 00 0f 5b b4 18 79 c8 aa 4b b2 34 ba c4 2f |....[..y..K.4../| +00000060 c2 fc 75 42 16 4a ff cd 74 97 32 4e c7 ed 35 |..uB.J..t.2N..5| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA index c46a9670e84..c7115447585 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 97 fe 7f 92 37 |....Y...U......7| -00000010 67 99 e0 d8 62 a9 31 80 bd 1f 31 8e 7d 0b 08 0a |g...b.1...1.}...| -00000020 de a5 82 a2 f2 d0 c1 35 66 34 6e 20 39 46 b1 b0 |.......5f4n 9F..| -00000030 6e 2d 0e fe 8c 48 ea ab 1c c4 49 ee f4 21 cf cb |n-...H....I..!..| -00000040 2a 20 57 78 18 99 a1 b9 7f 88 4f 64 c0 13 00 00 |* Wx......Od....| +00000000 16 03 01 00 59 02 00 00 55 03 01 af d6 05 1e 5e |....Y...U......^| +00000010 31 0a 4c ad 86 26 39 5c 5d d5 95 75 84 0c d7 70 |1.L..&9\]..u...p| +00000020 fa 49 43 4f 1b 11 f2 a4 55 0d e5 20 6a 22 3f 16 |.ICO....U.. j"?.| +00000030 2c c7 00 e6 2a bf da a8 08 73 86 92 2c 08 3f 79 |,...*....s..,.?y| +00000040 87 45 36 88 f7 30 ce 05 44 86 5c c8 c0 13 00 00 |.E6..0..D.\.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 07 80 79 40 4b b1 0e |........ ..y@K..| -000002d0 05 ce e4 ca 9d f5 d7 ad a6 98 f2 40 f9 b9 66 a8 |...........@..f.| -000002e0 04 6e ae b5 da 99 67 09 69 00 80 01 4a f2 c1 c9 |.n....g.i...J...| -000002f0 2f 46 4f b8 9e 8b 2c c4 a1 32 44 3c dc 2c 5e b9 |/FO...,..2D<.,^.| -00000300 76 5f 41 20 23 1b 82 dd ec 37 b4 24 68 6d a7 39 |v_A #....7.$hm.9| -00000310 4f f2 e5 97 09 75 64 2a 64 16 b8 99 04 8a 74 77 |O....ud*d.....tw| -00000320 19 bb 12 5f 27 f6 41 09 f7 2e 1c 33 80 3b 01 57 |..._'.A....3.;.W| -00000330 5c f9 20 6e 0c 48 76 59 e1 8b 1f bb 2a 33 1a 28 |\. n.HvY....*3.(| -00000340 a0 5a 05 44 94 eb 35 62 5e ae 7f e4 01 76 b6 b4 |.Z.D..5b^....v..| -00000350 64 91 bf 25 09 ff 88 8a af 73 00 d0 7e ea 0f ca |d..%.....s..~...| -00000360 4a 2b d4 6f 02 26 98 28 5a ed 11 16 03 01 00 0a |J+.o.&.(Z.......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 64 a7 79 1a 31 90 6f |........ d.y.1.o| +000002d0 7e b6 1c cd c1 9d f8 eb e9 cc 55 0b f6 28 6b ae |~.........U..(k.| +000002e0 40 f3 67 07 a9 a2 c8 d5 17 00 80 13 33 33 84 ef |@.g.........33..| +000002f0 cf 29 4e 43 b1 62 4b 7b 4b dc 6c 94 97 5b ec de |.)NC.bK{K.l..[..| +00000300 fb f3 3c e3 18 08 ea 84 59 4f d2 a8 ae 91 30 e5 |..<.....YO....0.| +00000310 44 f2 0b 3f e9 be 06 44 c3 35 a1 53 b1 74 78 90 |D..?...D.5.S.tx.| +00000320 38 cb 25 69 ee 01 b8 0b ca e9 91 1b b9 0b 0d 8a |8.%i............| +00000330 2d f5 0d 89 21 c3 b8 93 ed ad 46 98 ed 20 15 c0 |-...!.....F.. ..| +00000340 85 4a 95 11 d5 a6 74 db 43 5e 2a d4 e1 8b 92 58 |.J....t.C^*....X| +00000350 ee 74 a2 f5 3e fd b5 1f 97 85 2d 0e 03 6e b8 51 |.t..>.....-..n.Q| +00000360 85 4c 2b 34 41 c3 bf 00 cd 93 65 16 03 01 00 0a |.L+4A.....e.....| 00000370 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000380 00 00 00 |...| >>> Flow 3 (client to server) @@ -109,29 +110,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 81 aa 68 1f a9 a4 de f1 4d |.........h.....M| -00000240 30 9a fe e6 a5 f6 f6 18 b6 3e d2 c7 f1 e6 77 e3 |0........>....w.| -00000250 6a cd 61 01 81 3a 02 31 a5 aa d6 db b6 02 9d 4b |j.a..:.1.......K| -00000260 f5 78 50 c3 95 fe 43 88 33 3a 95 32 bc e8 02 1a |.xP...C.3:.2....| -00000270 e6 f4 d5 54 b9 fc e0 4a 4e f0 92 21 35 4b de c8 |...T...JN..!5K..| -00000280 a4 b0 01 c3 ca 3a 87 ed cb 21 1c ce c2 14 7b 8d |.....:...!....{.| -00000290 90 68 b9 21 49 13 dd cd e7 68 83 41 7c 84 6a 75 |.h.!I....h.A|.ju| -000002a0 76 ee 19 8b fa d5 a6 57 3d a7 f1 f1 6f 11 ca 77 |v......W=...o..w| -000002b0 95 0e b5 c7 3d 99 d4 14 03 01 00 01 01 16 03 01 |....=...........| -000002c0 00 30 5e be 40 82 f8 db 05 20 23 45 a4 42 48 e8 |.0^.@.... #E.BH.| -000002d0 06 69 eb 4c ef 79 53 52 4a 5a 3a ba cc d6 99 59 |.i.L.ySRJZ:....Y| -000002e0 4d c2 b0 34 0f 14 68 03 93 8b a4 95 7e cf 26 f8 |M..4..h.....~.&.| -000002f0 5c 8a |\.| +00000230 86 0f 00 00 82 00 80 12 c7 92 8f 69 07 7d c2 22 |...........i.}."| +00000240 d2 8a ac ce 70 97 c3 48 ff d8 88 7f cc 4d 7b c0 |....p..H.....M{.| +00000250 62 a5 64 40 b9 7f 44 2d 6e cf 57 98 7f b6 9d 08 |b.d@..D-n.W.....| +00000260 5d 8e 5d d2 75 0b e7 64 1f 85 6b c4 62 6d 28 0f |].].u..d..k.bm(.| +00000270 8a d2 62 06 70 8b 38 ca da d1 5c 65 14 57 6f 48 |..b.p.8...\e.WoH| +00000280 7d f8 52 82 b5 14 20 5c 19 ea 73 bf fe 53 ae 0e |}.R... \..s..S..| +00000290 6a 61 99 68 5e fc 12 5c f4 c8 11 f1 6a ae 92 af |ja.h^..\....j...| +000002a0 0f d6 83 0f 95 fc ac 14 59 71 50 31 0e 5d 3a ae |........YqP1.]:.| +000002b0 1f 9b 87 d8 1c 8b 8d 14 03 01 00 01 01 16 03 01 |................| +000002c0 00 30 99 0f 9b 2e 4c 86 78 eb 20 66 6d 76 05 90 |.0....L.x. fmv..| +000002d0 11 19 ce fb d2 67 fa 60 f9 4f f5 9b 64 32 24 76 |.....g.`.O..d2$v| +000002e0 e0 52 a5 57 44 63 4b 2d 2c af e7 27 c4 14 01 d0 |.R.WDcK-,..'....| +000002f0 08 57 |.W| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 ef 9b 5c da 0a |..........0..\..| -00000010 2e c4 79 fa ea 8a 9c 78 4a 1f 08 77 56 73 6e fa |..y....xJ..wVsn.| -00000020 3a 5b 3c cd cd e9 0c a8 bb 59 9e 22 ab 67 2c 03 |:[<......Y.".g,.| -00000030 de ad 7c e4 cb 85 d7 8f c1 1c e3 |..|........| +00000000 14 03 01 00 01 01 16 03 01 00 30 2e 29 8f 2a 9f |..........0.).*.| +00000010 80 bb 29 25 28 5c dd 32 81 e7 e9 f8 82 45 3b eb |..)%(\.2.....E;.| +00000020 8c 8e 0c e3 54 f5 e9 23 9e be 6b 5b 92 23 a6 fd |....T..#..k[.#..| +00000030 eb 38 b0 55 a2 dd 2f a7 99 70 fe |.8.U../..p.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 48 1a 1a 1c 6c 7d 6c 2a e0 b2 e3 |.... H...l}l*...| -00000010 b3 9f ec 39 a8 cd 9a f9 a2 3e 2d 46 3b cf 17 ed |...9.....>-F;...| -00000020 70 99 ce d7 3c 17 03 01 00 20 69 27 e9 89 78 e6 |p...<.... i'..x.| -00000030 64 c0 a9 40 4f 0d 97 53 b2 2e 15 f3 2b 54 3b 77 |d..@O..S....+T;w| -00000040 f2 24 2c 94 dc b3 8b f0 c4 ce 15 03 01 00 20 1b |.$,........... .| -00000050 50 55 83 d8 6b b4 04 b2 f0 2d 1c 9c 0d fa de 58 |PU..k....-.....X| -00000060 cd 0a 1d 55 d6 36 f4 a4 fb cc 55 c5 b1 f3 d3 |...U.6....U....| +00000000 17 03 01 00 20 c2 6b e9 5d ff f8 82 9f e4 10 f2 |.... .k.].......| +00000010 61 ee 4a f7 23 b1 d5 52 bc 26 e3 a8 02 57 e5 c1 |a.J.#..R.&...W..| +00000020 63 4b 04 97 0f 17 03 01 00 20 71 45 35 fe 46 d2 |cK....... qE5.F.| +00000030 42 5b a6 ca ab ad f6 08 b7 3c 34 49 5f 3c 0a 43 |B[.......<4I_<.C| +00000040 ad 9b 9a c1 1e fd 3f 5d da cb 15 03 01 00 20 65 |......?]...... e| +00000050 a7 09 04 4d 5c fd 1c ef 2b 28 47 51 2f 45 f3 2b |...M\...+(GQ/E.+| +00000060 fc 13 80 27 5c 6f 08 e9 38 23 e5 c7 ae 12 f1 |...'\o..8#.....| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES index 7d6683c026a..c1a1e3b653c 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 a7 ea 63 8c 7d |....Y...U....c.}| -00000010 54 70 04 d5 5e a2 2e 8b 75 4f 17 c8 a8 8c 3d bc |Tp..^...uO....=.| -00000020 08 aa 82 48 85 ed 1a ff 42 e1 54 20 3b 77 9d 32 |...H....B.T ;w.2| -00000030 4d 60 f2 81 f8 20 aa d2 b0 eb ea 7c 6a 39 52 20 |M`... .....|j9R | -00000040 94 4a 2a 88 05 8a fe 6c 50 5c 95 39 c0 09 00 00 |.J*....lP\.9....| +00000000 16 03 01 00 59 02 00 00 55 03 01 34 12 45 b7 2b |....Y...U..4.E.+| +00000010 db 55 7e 15 0b 74 63 6f a9 83 b3 0b 14 39 2c 2a |.U~..tco.....9,*| +00000020 4b d0 fb 19 39 da 52 96 11 45 d1 20 98 c4 5b 66 |K...9.R..E. ..[f| +00000030 23 a7 7e d6 8d 01 94 76 06 07 3e 83 a6 c8 cf 0f |#.~....v..>.....| +00000040 53 ac 1d 28 f7 b3 ad 8c 16 f4 e1 b4 c0 09 00 00 |S..(............| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,37 +56,37 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 3a 1f |*............ :.| -00000280 18 e9 f2 09 3e 79 4b a0 62 73 ef 87 0d ea 90 51 |....>yK.bs.....Q| -00000290 7f 9d d2 79 59 e4 11 7f 69 f7 a9 d7 78 7f 00 8b |...yY...i...x...| -000002a0 30 81 88 02 42 01 65 ac eb e6 b0 86 73 95 a4 27 |0...B.e.....s..'| -000002b0 e3 82 55 cf 88 16 80 c2 68 4b 39 77 2a b1 a9 d3 |..U.....hK9w*...| -000002c0 08 d5 ac 77 ce 5b 16 73 2c ad b5 57 2a 7a 75 34 |...w.[.s,..W*zu4| -000002d0 ec 99 23 bd df b2 27 36 5a 4b 40 e0 d3 b0 d2 31 |..#...'6ZK@....1| -000002e0 9b c7 9e 0a cb 5b 69 02 42 00 88 d7 5a 6a 9e 4c |.....[i.B...Zj.L| -000002f0 c5 7b 2c 8e 93 3b 75 27 b4 00 11 88 ba cf 99 8c |.{,..;u'........| -00000300 e5 f2 60 22 de f2 fe 86 a6 48 86 9c 40 31 08 75 |..`".....H..@1.u| -00000310 aa bc 5d 6d fa 2e a4 a9 a1 0d fc e1 d9 5a a1 60 |..]m.........Z.`| -00000320 93 b9 69 c7 c2 3e f5 a9 cb 31 41 16 03 01 00 04 |..i..>...1A.....| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 24 a7 |*............ $.| +00000280 0e d2 64 8e 7e a9 0f 9d d6 7a 02 18 b9 36 4d 78 |..d.~....z...6Mx| +00000290 24 e0 8d 6a 54 41 fe 70 eb d0 a6 02 44 58 00 8b |$..jTA.p....DX..| +000002a0 30 81 88 02 42 01 21 2a c5 54 c6 c7 6a e1 b4 3d |0...B.!*.T..j..=| +000002b0 0c 65 dc 17 b8 22 87 df d2 d8 3d 31 02 64 b2 09 |.e..."....=1.d..| +000002c0 bb 39 38 5a 88 0b 8d 04 49 1f b4 21 ea 9e a5 c2 |.98Z....I..!....| +000002d0 79 44 7c 12 6c 37 9c 3b 47 2f d9 43 0b 95 e2 26 |yD|.l7.;G/.C...&| +000002e0 10 4e 3e 84 5f d9 0f 02 42 01 16 3f ff a0 82 b5 |.N>._...B..?....| +000002f0 2d 51 e6 f3 e9 8a c1 96 47 d7 a8 f0 d8 97 f4 1c |-Q......G.......| +00000300 77 60 eb 75 cc f5 4a 2d ac a4 ad 45 56 f3 90 8d |w`.u..J-...EV...| +00000310 20 86 39 47 7b 46 35 13 f4 88 81 94 8c 25 73 6f | .9G{F5......%so| +00000320 fa ee 26 82 8b 5a d1 39 02 f7 65 16 03 01 00 04 |..&..Z.9..e.....| 00000330 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 30 25 15 82 a1 7f 11 32 13 52 17 |....00%.....2.R.| -00000040 b8 bd 5b b9 1e 69 88 0b b3 5f 12 40 e3 4b 03 cb |..[..i..._.@.K..| -00000050 cd 07 3c 43 4f ab f7 5d 2c 6a a3 02 a9 64 d0 77 |..>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 b5 3e 18 97 a1 |..........0.>...| -00000010 ca 2e 7f 5f b9 72 cb aa d4 f6 85 86 d3 27 40 13 |..._.r.......'@.| -00000020 e3 99 35 13 67 a8 9e 6e bb 63 15 97 96 42 e4 b3 |..5.g..n.c...B..| -00000030 fc 15 ee b7 d8 cb a2 64 3d 55 b8 |.......d=U.| +00000000 14 03 01 00 01 01 16 03 01 00 30 ca 62 0c 6c c6 |..........0.b.l.| +00000010 72 2b 39 66 fb 20 39 c9 a8 9f dd 87 62 68 83 ce |r+9f. 9.....bh..| +00000020 72 18 2e c8 3a 3b fa 15 6d 60 72 ec 6f 62 75 29 |r...:;..m`r.obu)| +00000030 22 b7 b7 c7 17 80 02 3b d2 b1 d4 |"......;...| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 12 6c bf f2 39 2d e6 ad a8 38 d5 |.... .l..9-...8.| -00000010 1c ea 5b 79 e5 c7 4a 41 eb 58 70 f0 7d f7 60 e7 |..[y..JA.Xp.}.`.| -00000020 ee 77 98 75 f2 17 03 01 00 20 ac 5e 6d b0 81 0b |.w.u..... .^m...| -00000030 14 ca c2 70 53 d8 6d 55 49 63 da 8a 61 66 80 2d |...pS.mUIc..af.-| -00000040 e4 7c 2e 60 1f eb 3c f2 27 66 15 03 01 00 20 7a |.|.`..<.'f.... z| -00000050 2b 80 f8 00 0f 06 f5 6e fe b7 b7 6b 12 6c 8d 8e |+......n...k.l..| -00000060 c4 11 23 2b a2 bb 16 93 b4 e0 e0 fd 8c 42 db |..#+.........B.| +00000000 17 03 01 00 20 23 5a bc 6e 6d c3 43 a5 ef 99 b3 |.... #Z.nm.C....| +00000010 95 ad 6a 8f 4a a1 00 82 62 c1 1e 4d c1 87 c9 fa |..j.J...b..M....| +00000020 dd 78 01 2d 25 17 03 01 00 20 fc cf 97 cd c1 7c |.x.-%.... .....|| +00000030 74 b5 98 4f ea 24 04 65 f9 8a 3b b5 d4 0f 13 de |t..O.$.e..;.....| +00000040 65 a6 21 ec 01 17 12 5a f6 3d 15 03 01 00 20 29 |e.!....Z.=.... )| +00000050 09 f5 d6 91 ea 58 1d c9 c6 95 93 f5 a6 4c 6d a3 |.....X.......Lm.| +00000060 81 06 a6 e8 47 86 4d ea a8 ed 3f 1a b1 22 63 |....G.M...?.."c| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES index c0e842d155c..ba05fdda05e 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 16 f4 24 01 94 |....Y...U....$..| -00000010 68 d2 0f 15 4d d6 65 54 84 73 ab 2c b2 11 c5 64 |h...M.eT.s.,...d| -00000020 d8 93 66 50 cd b0 f0 ab 11 5c 72 20 b1 13 c1 f5 |..fP.....\r ....| -00000030 63 ed 70 0b 21 52 85 36 84 99 1d b6 bb dc d3 1c |c.p.!R.6........| -00000040 b3 76 13 d9 ef 47 c4 c0 18 57 23 3b c0 13 00 00 |.v...G...W#;....| +00000000 16 03 01 00 59 02 00 00 55 03 01 fa 78 e5 13 cb |....Y...U...x...| +00000010 c8 b6 86 3f 61 10 6c 35 10 ef 83 87 15 b6 bb 30 |...?a.l5.......0| +00000020 c0 2c d1 eb e1 f5 36 01 e0 3d 05 20 bd 6c 5b fb |.,....6..=. .l[.| +00000030 ca e3 d6 71 d6 8d 2c 0e 33 e6 1c 21 0b f1 5d 04 |...q..,.3..!..].| +00000040 e7 87 a0 e5 93 b3 3b b9 94 9f 6e 4b c0 13 00 00 |......;...nK....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 7e aa 30 94 7b fb 09 |........ ~.0.{..| -000002d0 b5 55 ce b3 e9 e0 5b 55 82 f4 e6 7c d0 e4 57 eb |.U....[U...|..W.| -000002e0 9b ec 82 48 d6 0e 2a bb 16 00 80 80 da c5 75 4f |...H..*.......uO| -000002f0 82 95 ee 47 28 af 09 08 d5 13 68 33 5d 91 dd 13 |...G(.....h3]...| -00000300 43 84 e9 54 d9 e7 39 7c 38 74 d5 92 8f 46 37 86 |C..T..9|8t...F7.| -00000310 44 68 ae c7 3a ad e1 33 5f cd d8 c6 a5 7c 5e 83 |Dh..:..3_....|^.| -00000320 44 ba b1 09 44 ec 42 7f 41 80 d6 b6 4c 6d ae 24 |D...D.B.A...Lm.$| -00000330 a9 3b 53 87 2f 3b 3a 1f da 87 2b 7d cf 9e ed a5 |.;S./;:...+}....| -00000340 04 54 ad c2 3c 7b 21 60 55 67 41 47 60 02 1e 62 |.T..<{!`UgAG`..b| -00000350 bb 9f ee 2c 6e 79 20 6e 65 e2 d0 ae 73 70 3e a7 |...,ny ne...sp>.| -00000360 3f 74 96 8e 2a 6e a6 7e 7a e0 e4 16 03 01 00 04 |?t..*n.~z.......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 90 f3 14 1b df 53 e9 |........ .....S.| +000002d0 7d 09 ec 86 25 ec 97 fd 23 b2 48 ab dd ac 75 c1 |}...%...#.H...u.| +000002e0 ea 58 2c a2 8f 0e 1b a1 18 00 80 06 a9 f1 a5 ff |.X,.............| +000002f0 18 cf 3b d8 15 e8 12 08 c7 52 9c a3 fe 0d 5d d7 |..;......R....].| +00000300 45 50 56 5e 00 62 27 8d dc c5 cc 73 13 6d eb 33 |EPV^.b'....s.m.3| +00000310 b4 d1 d4 7e 8e 33 de 81 cc 6a 4c 8a 8d a3 d6 1b |...~.3...jL.....| +00000320 49 c2 17 a7 aa f3 98 0b 9b 03 cb 73 40 83 83 b7 |I..........s@...| +00000330 44 a7 72 60 04 0e b0 29 c7 96 f2 f5 94 c4 be bb |D.r`...)........| +00000340 4c 72 88 fe ee 3d 6c bb 86 1f 5a 01 1d e4 e6 66 |Lr...=l...Z....f| +00000350 69 73 6a 9e 8c 21 25 58 79 14 41 9d 1e 19 38 e0 |isj..!%Xy.A...8.| +00000360 bd d0 eb 80 56 b3 fb 17 9c c9 69 16 03 01 00 04 |....V.....i.....| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 5a cb 36 c8 1c 43 a8 e1 88 db c9 |....0Z.6..C.....| -00000040 ae 78 b0 af 97 e4 c3 f6 25 51 8e 4d 57 94 ee ca |.x......%Q.MW...| -00000050 a4 8b 3f 4d 17 75 34 58 c3 fa a6 6f d4 e5 ae 3a |..?M.u4X...o...:| -00000060 cb 5a cb 11 ef |.Z...| +00000030 16 03 01 00 30 d4 bf ac 02 80 da 37 55 c1 22 fe |....0......7U.".| +00000040 70 0e 53 5f 6f b2 03 c4 e6 01 2e 2c 9b 88 5e 2d |p.S_o......,..^-| +00000050 cc 84 76 71 73 7c db c5 84 89 c9 11 86 f7 2c 78 |..vqs|........,x| +00000060 01 a7 fe fe a2 |.....| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 96 92 50 6f f0 |..........0..Po.| -00000010 d1 ff 7c 39 fb 75 0c 8b c9 d7 29 7d 9d 32 4c 19 |..|9.u....)}.2L.| -00000020 2e 93 ea 11 87 07 fc 5a 7d 3c 30 e1 bd 64 7f 90 |.......Z}<0..d..| -00000030 fd 70 1d 50 eb ec f2 d6 de 09 61 |.p.P......a| +00000000 14 03 01 00 01 01 16 03 01 00 30 a2 e0 c3 c9 27 |..........0....'| +00000010 ef ab 25 f2 24 3f 61 53 9d 98 a7 03 60 f6 22 6b |..%.$?aS....`."k| +00000020 70 60 37 14 fb e3 50 5e 11 89 f5 7f 00 15 e7 7b |p`7...P^.......{| +00000030 e4 32 77 f8 b4 d7 cf 10 da 1a 70 |.2w.......p| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 fd a4 ba f1 78 a9 a2 45 d3 d2 5a |.... ....x..E..Z| -00000010 1e 41 6b 89 8d bd a4 21 69 03 a1 7c b8 56 ff df |.Ak....!i..|.V..| -00000020 67 bc 85 5e 21 17 03 01 00 20 a7 6d 4c 11 d0 f3 |g..^!.... .mL...| -00000030 7d e2 f0 69 18 7c 42 71 78 e4 3b 71 7d 13 27 bb |}..i.|Bqx.;q}.'.| -00000040 79 fd d7 b2 d7 28 ca 92 83 f1 15 03 01 00 20 10 |y....(........ .| -00000050 b3 79 d4 1d 70 db b7 6c f2 15 05 3c 4d 65 ba ec |.y..p..l.....0y!5<>..| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial index 1c659142814..348cf2c2e3a 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 7a a4 22 4f 19 |....Y...U..z."O.| -00000010 54 37 47 cb e5 dd b4 54 86 9e 9e d6 3f f1 bd ca |T7G....T....?...| -00000020 9a 3e 16 3c 7e 1a 29 22 0d c8 95 20 ac 85 42 c1 |.>.<~.)"... ..B.| -00000030 e7 f3 38 62 38 24 a8 24 d2 67 bd 0d 06 44 74 cf |..8b8$.$.g...Dt.| -00000040 3d a4 37 17 bc 8c 5d 41 9f 5a 74 69 c0 13 00 00 |=.7...]A.Zti....| +00000000 16 03 01 00 59 02 00 00 55 03 01 f9 65 11 d7 b4 |....Y...U...e...| +00000010 75 e6 e3 c2 dc c8 25 74 0d 96 c6 e1 2f 23 a6 8a |u.....%t..../#..| +00000020 85 27 bc aa 7d 9d 3c ce 72 ce 31 20 08 13 74 85 |.'..}.<.r.1 ..t.| +00000030 4f ed 53 bb 13 b1 16 3d c1 4f 1d 8f 0f b6 79 54 |O.S....=.O....yT| +00000040 13 53 66 55 37 b5 bc 81 56 c2 83 06 c0 13 00 00 |.SfU7...V.......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 71 52 12 72 a7 56 0b |........ qR.r.V.| -000002d0 51 81 af 9f e1 95 43 44 54 0e 9e 3d cc 6f 3c 4c |Q.....CDT..=.o| -00000360 cb 59 5d 81 da 58 07 83 e7 af 25 16 03 01 00 04 |.Y]..X....%.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 78 d1 bc b1 42 00 f2 |........ x...B..| +000002d0 53 60 aa 3c 95 bd 52 1f e1 ab 2e 5d f9 79 39 94 |S`.<..R....].y9.| +000002e0 9f 3d 66 27 ec 56 a1 bb 6a 00 80 34 54 75 55 62 |.=f'.V..j..4TuUb| +000002f0 0e 4f 8c a3 11 1a 1e 4c da e5 36 44 b7 9f d0 0e |.O.....L..6D....| +00000300 b6 31 8f ab 51 8f 2b 70 ee 6e 70 73 e3 54 23 f4 |.1..Q.+p.nps.T#.| +00000310 d1 f6 fa c0 52 62 69 98 7c 26 6c b8 98 46 d2 15 |....Rbi.|&l..F..| +00000320 aa a5 e2 6b d6 a2 0a 34 09 73 c1 68 76 06 a5 24 |...k...4.s.hv..$| +00000330 14 2a dd 9b ed 1b 66 aa 14 e0 06 fc 68 82 32 13 |.*....f.....h.2.| +00000340 93 fd a5 6f 2b 2d d9 b0 2a 71 50 d7 00 a4 68 58 |...o+-..*qP...hX| +00000350 f0 e2 c7 a1 88 74 b2 2e 75 6b 65 5f 28 75 55 26 |.....t..uke_(uU&| +00000360 a8 53 05 70 ce fd c1 61 b2 19 41 16 03 01 00 04 |.S.p...a..A.....| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 c3 26 49 92 5a 8c d0 da 48 ba 60 |....0.&I.Z...H.`| -00000040 29 c0 5c d5 44 04 11 7a 25 b5 d6 9f a4 cf fe bf |).\.D..z%.......| -00000050 33 a7 ba c2 96 2b 4d c1 fb dc 4c ba b8 2b 6f 20 |3....+M...L..+o | -00000060 2d 2a 02 ee 17 |-*...| +00000030 16 03 01 00 30 8d 37 ef 55 a8 6d cc a5 1f fa 5e |....0.7.U.m....^| +00000040 f1 03 eb 86 0b bb e8 39 87 21 3a ae 9a 4c fb 85 |.......9.!:..L..| +00000050 38 92 bf 20 32 b0 c6 2f 2c 9e 02 b6 5f 13 fe a1 |8.. 2../,..._...| +00000060 0d 72 a1 30 1b |.r.0.| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 f4 4e 0a ea 58 |..........0.N..X| -00000010 18 c6 9d 5f aa 5d f0 03 d4 63 0d e7 83 cb a8 18 |..._.]...c......| -00000020 06 fa b6 82 da df 16 89 5c 8b 5d 92 87 b1 42 da |........\.]...B.| -00000030 cd 2a ee dc 43 08 f1 0d 1f 18 5c |.*..C.....\| +00000000 14 03 01 00 01 01 16 03 01 00 30 34 0c 1d 0f 40 |..........04...@| +00000010 8c 53 fc 82 65 b5 84 23 69 53 89 47 72 f1 53 f7 |.S..e..#iS.Gr.S.| +00000020 1d 3d 03 51 95 c2 05 1b 7b c9 3d b1 84 18 35 be |.=.Q....{.=...5.| +00000030 36 f2 8c c7 20 9b c1 15 66 42 89 |6... ...fB.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 e6 95 10 e0 98 07 9f 2b 42 06 b8 |.... .......+B..| -00000010 2a 6c 5d 4a 95 2a 2c 17 d5 cc 68 42 18 bd 72 58 |*l]J.*,...hB..rX| -00000020 c1 39 73 05 75 17 03 01 00 20 d4 ae 70 ee a0 ed |.9s.u.... ..p...| -00000030 3e dd f9 aa 93 03 ff f5 a4 f6 f3 0d e7 a6 59 a9 |>.............Y.| -00000040 40 b4 f6 ad a5 46 0b eb ee 0e 15 03 01 00 20 7c |@....F........ || -00000050 1a 29 f3 49 60 47 2e 52 ec 00 4a 62 44 30 93 5f |.).I`G.R..JbD0._| -00000060 df 73 2f 44 65 3f 77 c1 3d 04 32 c8 bb 86 ed |.s/De?w.=.2....| +00000000 17 03 01 00 20 27 c9 15 eb c9 56 4e 79 6c 5c cb |.... '....VNyl\.| +00000010 5e 0f 3d 73 91 59 d9 e2 f9 a1 eb cb d4 1a cd 3b |^.=s.Y.........;| +00000020 b0 d6 8b a5 0f 17 03 01 00 20 bc eb dd 61 28 16 |......... ...a(.| +00000030 ce ee ab fb 70 b6 3e c8 fa 2d 32 df 08 1d 74 6c |....p.>..-2...tl| +00000040 20 49 f3 9b ea 23 4e 01 72 e8 15 03 01 00 20 57 | I...#N.r..... W| +00000050 e8 09 b8 f0 8c 5b a4 fd 78 b8 29 3c 37 2b eb 74 |.....[..x.)<7+.t| +00000060 72 34 2a db e1 a2 5d 88 9b a6 64 a1 ce 2f 0e |r4*...]...d../.| diff --git a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 index 1fe13b9f97a..d9e8839e329 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 51 02 00 00 4d 03 01 5a 4f 78 41 d5 |....Q...M..ZOxA.| -00000010 86 2f d2 0a c6 05 bc c9 8e cc bd b2 39 ac a5 78 |./..........9..x| -00000020 e3 e5 31 b9 cb 01 af cb ca fc 88 20 c9 61 c6 91 |..1........ .a..| -00000030 b2 e5 70 df ca d0 41 a8 20 61 ab 08 f6 dc fe c0 |..p...A. a......| -00000040 cc ea 1e 80 89 02 6a 26 ea f0 c8 71 00 05 00 00 |......j&...q....| +00000000 16 03 01 00 51 02 00 00 4d 03 01 c7 db 4d e0 3f |....Q...M....M.?| +00000010 87 21 40 28 05 eb fb 1c 4c c4 95 5f 2b b2 b0 e2 |.!@(....L.._+...| +00000020 9b 7e 02 1b b6 a7 96 a3 56 9a 4e 20 38 78 3d 01 |.~......V.N 8x=.| +00000030 59 26 86 4a 3f f4 fb 6c db c1 82 b8 f3 23 2c 54 |Y&.J?..l.....#,T| +00000040 01 22 10 0c c9 4b e3 3d b9 f5 16 1f 00 05 00 00 |."...K.=........| 00000050 05 ff 01 00 01 00 16 03 01 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -70,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 01 00 01 |.Y(.....ia5.....| -00000090 01 16 03 01 00 24 48 fd e6 fc 4a 94 33 82 22 ff |.....$H...J.3.".| -000000a0 af c3 44 98 d2 c6 4e 8a 39 43 dd 4b 2a 11 2b 4e |..D...N.9C.K*.+N| -000000b0 5b d9 a4 fc 6c 95 d7 69 05 f9 |[...l..i..| +00000090 01 16 03 01 00 24 db 4e 84 c3 30 79 f9 75 d3 23 |.....$.N..0y.u.#| +000000a0 da e6 8f fd 97 81 8f e7 ce 45 0d 28 5c fc 7f 4f |.........E.(\..O| +000000b0 cb 83 cc 75 8c b1 a8 c9 1c e6 |...u......| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 24 61 d2 68 5e 12 |..........$a.h^.| -00000010 91 6e 7f fe bf b7 42 58 e9 06 38 09 c1 16 34 e5 |.n....BX..8...4.| -00000020 a1 46 d6 cf 23 ca 48 c1 ed 76 f9 48 a1 9a 2a |.F..#.H..v.H..*| +00000000 14 03 01 00 01 01 16 03 01 00 24 10 ea 40 62 a2 |..........$..@b.| +00000010 a7 64 15 15 9d fa 90 a4 f7 0b 57 9c 9f d4 1c 02 |.d........W.....| +00000020 5b 2a e1 d6 ab 1f e0 5c 01 10 2a 36 a3 97 cd |[*.....\..*6...| >>> Flow 5 (client to server) -00000000 17 03 01 00 1a 3a e1 39 7c fe 25 50 dc 66 3f b6 |.....:.9|.%P.f?.| -00000010 6f fd 79 3b 12 83 af 89 b1 c5 f6 75 56 ad a1 15 |o.y;.......uV...| -00000020 03 01 00 16 07 d1 d3 7a 54 1c 71 0b c8 64 10 46 |.......zT.q..d.F| -00000030 30 d0 bf df 75 a6 dc 10 b1 d1 |0...u.....| +00000000 17 03 01 00 1a fc 69 06 aa 26 2c 9f 72 b6 34 85 |......i..&,.r.4.| +00000010 62 d5 b6 32 66 54 6b 4c 63 4a 92 a8 e4 23 8e 15 |b..2fTkLcJ...#..| +00000020 03 01 00 16 b7 a0 df a9 ba 1a 86 23 9a b9 62 20 |...........#..b | +00000030 99 b5 76 f4 bd e0 13 6a f8 5a |..v....j.Z| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES index 9d18cd62f78..9fcb56f13a4 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 23 a8 e7 14 3f |....Y...U..#...?| -00000010 64 61 3c ee 80 a2 94 84 ab b8 66 76 30 84 06 78 |da<.......fv0..x| -00000020 96 ba a7 d3 1e 81 1b 16 64 76 88 20 3d 21 21 b3 |........dv. =!!.| -00000030 45 dd fe cb 5b d7 9a 86 39 ee 4f f8 60 eb 95 ea |E...[...9.O.`...| -00000040 ab 64 48 14 74 16 fd e9 47 07 66 60 c0 09 00 00 |.dH.t...G.f`....| +00000000 16 03 02 00 59 02 00 00 55 03 02 2b 84 a6 4d 35 |....Y...U..+..M5| +00000010 e4 3e b9 59 6e c8 d6 de 15 38 52 fc 42 2b f6 a5 |.>.Yn....8R.B+..| +00000020 d5 8e 2f 55 20 fe ad 9f 76 ab 9d 20 d0 71 29 60 |../U ...v.. .q)`| +00000030 92 cc a7 75 65 82 07 4e 2b 8e ae 90 4f dd a1 73 |...ue..N+...O..s| +00000040 d6 e1 8b 52 08 8f 19 c8 45 4d 4e 63 c0 09 00 00 |...R....EMNc....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 02 00 b4 0c 00 00 b0 03 00 1d 20 a7 a4 |*............ ..| -00000280 33 20 48 6a 74 8e 07 fc c0 b6 10 61 84 d6 67 d1 |3 Hjt......a..g.| -00000290 ae cf 65 36 4d d5 13 a1 07 fc 1f aa 77 44 00 8a |..e6M.......wD..| -000002a0 30 81 87 02 42 01 02 5b f9 4a af 8d 0a d5 a3 de |0...B..[.J......| -000002b0 11 62 d8 f1 db 49 7a 0c 34 3e 2d 61 f9 6f 6b c2 |.b...Iz.4>-a.ok.| -000002c0 1d 32 4b 88 93 9b 22 b0 3d 09 c3 93 9e 25 31 d6 |.2K...".=....%1.| -000002d0 5f 06 3a f0 4a 61 0b 06 03 5d 6c 0e b3 5e 48 5a |_.:.Ja...]l..^HZ| -000002e0 f0 5b 21 48 58 8f b2 02 41 1c 57 f1 51 04 d6 f8 |.[!HX...A.W.Q...| -000002f0 a2 51 e6 e6 3e e0 99 63 aa d2 1c 7b 92 be 44 ec |.Q..>..c...{..D.| -00000300 86 c3 31 fa e7 9b 98 1a 59 a5 93 3e a9 73 f0 ec |..1.....Y..>.s..| -00000310 03 22 37 19 db 78 30 27 ab bf 52 07 6c 3a 79 f5 |."7..x0'..R.l:y.| -00000320 ad 70 59 76 84 44 f0 47 e0 3d 16 03 02 00 04 0e |.pYv.D.G.=......| -00000330 00 00 00 |...| +00000270 2a 16 03 02 00 b5 0c 00 00 b1 03 00 1d 20 8d 15 |*............ ..| +00000280 f7 10 24 67 b2 c7 9e 4f c3 b4 5f 56 5b e6 36 27 |..$g...O.._V[.6'| +00000290 72 12 eb cc 69 ae e5 8f 50 50 fc b2 64 58 00 8b |r...i...PP..dX..| +000002a0 30 81 88 02 42 00 92 11 84 0d fd f1 9a e2 91 98 |0...B...........| +000002b0 01 e7 de 8e 76 47 88 12 a1 97 fa 42 9d 71 c9 92 |....vG.....B.q..| +000002c0 56 9d 3a 0e 19 bf 52 a0 f1 bf 81 81 3c 35 74 f2 |V.:...R.....<5t.| +000002d0 29 4a 23 5b d8 a4 82 f1 fc 82 3d d6 3f ed 84 e7 |)J#[......=.?...| +000002e0 09 2f db 76 30 8b eb 02 42 01 1e 67 23 2e f9 89 |./.v0...B..g#...| +000002f0 43 37 df 64 97 ca a2 12 3b 7a 44 89 0e 8d 85 c7 |C7.d....;zD.....| +00000300 e2 4a 60 5d c0 6c 65 1e 1f 2e 23 52 58 e8 8d a4 |.J`].le...#RX...| +00000310 d0 4b 8c ba 65 85 54 4a f2 5b 6b b6 8c 97 27 61 |.K..e.TJ.[k...'a| +00000320 71 31 a2 2c fc 86 ea be 14 3d 64 16 03 02 00 04 |q1.,.....=d.....| +00000330 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 ef 0f 92 ac 11 fe 97 1a 46 69 e4 |.............Fi.| -00000050 b3 26 8d d7 92 46 02 25 5b 2e 86 3e 96 3d 64 ed |.&...F.%[..>.=d.| -00000060 37 92 dd ae a5 a6 9f 03 f0 c2 42 78 9f b9 78 ac |7.........Bx..x.| -00000070 97 ab 82 25 e2 |...%.| +00000040 00 00 00 00 00 cc dd 94 0a 16 66 6d 9d 3f 07 c9 |..........fm.?..| +00000050 5f 80 5d 86 1d 56 34 d2 00 fc 01 f9 0c 08 b9 a2 |_.]..V4.........| +00000060 13 e9 43 4d 05 d3 c3 76 fb c8 8a 3e 53 12 fd c0 |..CM...v...>S...| +00000070 f5 b0 b5 b7 0b |.....| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 df a9 23 37 74 |..........@..#7t| -00000010 47 d8 98 87 53 b4 0a 4d b0 a5 fb cb d6 37 c8 7c |G...S..M.....7.|| -00000020 61 95 81 ef b3 63 78 2b 53 c2 86 fc 39 df c4 5f |a....cx+S...9.._| -00000030 e4 4b af 1d fe bc 4c fe 1b 6a 28 c3 46 6f 24 94 |.K....L..j(.Fo$.| -00000040 a8 bf ef ce e8 e8 ad 2c d9 10 32 |.......,..2| +00000000 14 03 02 00 01 01 16 03 02 00 40 63 eb cd f7 a9 |..........@c....| +00000010 b1 4b e5 73 1c 8e 61 a8 55 9e 0f 32 3a 61 bb bd |.K.s..a.U..2:a..| +00000020 44 c5 0d e5 55 12 ba 3d ce 89 71 bf 23 5a fa e1 |D...U..=..q.#Z..| +00000030 9b 13 a6 54 9d 01 89 36 d9 e5 c9 bc 5b e7 10 85 |...T...6....[...| +00000040 c0 9d 3d 2e 89 39 ae 6b 95 98 ce |..=..9.k...| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 34 50 ce 9c 7f f5 2d a2 c1 e4 5c |.....4P....-...\| -00000020 fa d1 a0 f4 38 e8 4f 51 54 36 07 da f1 af 6d ef |....8.OQT6....m.| -00000030 b8 b0 bc bc a6 15 03 02 00 30 00 00 00 00 00 00 |.........0......| -00000040 00 00 00 00 00 00 00 00 00 00 0b d4 8e e8 69 64 |..............id| -00000050 53 38 7c 72 d8 1d 9f d5 8a 83 74 a7 37 6b e2 c0 |S8|r......t.7k..| -00000060 8f 26 e7 5d 0e 06 ae e0 db fb |.&.]......| +00000010 00 00 00 00 00 22 20 b4 87 ad e0 68 8d 3f 0c d0 |....." ....h.?..| +00000020 0d 9d be 63 96 6c d4 e5 cf aa 3e a5 b6 c9 77 1f |...c.l....>...w.| +00000030 53 3d aa c2 fb 15 03 02 00 30 00 00 00 00 00 00 |S=.......0......| +00000040 00 00 00 00 00 00 00 00 00 00 e2 c3 a3 56 53 9a |.............VS.| +00000050 45 db b5 6c 12 f5 a1 4e ed ab 30 f4 6b e5 2f 6a |E..l...N..0.k./j| +00000060 12 7d ed 27 41 e6 fc 77 0f bb |.}.'A..w..| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES index 4cc9610faa9..c16cd25ef62 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 6e ff 3b 26 66 |....Y...U..n.;&f| -00000010 7c 32 3f 42 fd 92 7c 12 db 26 b2 45 6e 28 b9 49 ||2?B..|..&.En(.I| -00000020 86 6b 00 54 92 3b 65 a6 02 6d 94 20 ea 44 db 5c |.k.T.;e..m. .D.\| -00000030 d1 39 35 b2 ea 1c 6d 3e 94 bb 47 60 25 1e 9c 74 |.95...m>..G`%..t| -00000040 e7 bd 54 cc 2b 36 14 6a 12 54 5b 6c c0 13 00 00 |..T.+6.j.T[l....| +00000000 16 03 02 00 59 02 00 00 55 03 02 e2 43 08 62 d6 |....Y...U...C.b.| +00000010 8e 6c 71 d4 03 56 cd 59 3f 23 10 b0 dc 09 57 63 |.lq..V.Y?#....Wc| +00000020 27 a3 39 ea 6b ff 4d 49 8d dd 50 20 e1 ed 1c 97 |'.9.k.MI..P ....| +00000030 1b b2 c2 01 6e 99 8a dd 61 93 9a 73 a8 46 a9 29 |....n...a..s.F.)| +00000040 ad 65 26 da 60 3f ed 6c 72 bd 2c c7 c0 13 00 00 |.e&.`?.lr.,.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 02 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 82 3b d2 56 dd cd d8 |........ .;.V...| -000002d0 e1 98 a7 90 d1 08 2d 37 dc e8 21 cd 29 af 29 a5 |......-7..!.).).| -000002e0 78 8e 59 9e 4c ac c9 d2 4b 00 80 25 20 91 4e 0d |x.Y.L...K..% .N.| -000002f0 74 12 9e 1c 98 fb 5f 4b ad fd c8 68 df 6b 82 98 |t....._K...h.k..| -00000300 a8 7c ee 17 44 47 91 2a 42 c1 82 d0 ce aa cd f8 |.|..DG.*B.......| -00000310 69 1e 85 79 27 fe ef 5a a2 e1 35 30 9a 2d c6 b0 |i..y'..Z..50.-..| -00000320 43 84 39 7f 8d 68 09 d6 6c 1a 84 0f c0 9a c0 9f |C.9..h..l.......| -00000330 64 56 cb fc 32 f2 4a a3 26 e8 c2 5f d7 16 3e 7c |dV..2.J.&.._..>|| -00000340 4e 8b 89 f8 7f f4 c2 26 fe 01 cd 48 b6 61 9c 93 |N......&...H.a..| -00000350 1a bc a1 d1 01 c5 bf ef 43 b4 ca 86 62 37 b4 99 |........C...b7..| -00000360 54 69 db 74 51 92 92 dd c1 b1 75 16 03 02 00 04 |Ti.tQ.....u.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 9a a4 b0 ac 5e 27 a9 |........ ....^'.| +000002d0 84 2e 66 9c 52 25 7d 21 6d 30 0a 24 7e 19 c7 6b |..f.R%}!m0.$~..k| +000002e0 c8 d9 ba b1 61 21 d0 7d 51 00 80 c5 6b b8 5c 58 |....a!.}Q...k.\X| +000002f0 41 f4 7c fd bf 28 6d 8c cc 68 c4 6c dd b5 fc 27 |A.|..(m..h.l...'| +00000300 2e 60 98 4c 43 fc d6 69 60 5f 19 f1 05 f9 1b be |.`.LC..i`_......| +00000310 48 a6 28 19 d6 7e 05 f8 90 51 b6 1b 0f 81 b4 e9 |H.(..~...Q......| +00000320 ef 2c 61 3f 44 fa ac fd 47 18 c3 b6 66 d9 10 e2 |.,a?D...G...f...| +00000330 2b 75 fc 12 34 ad fc 15 e1 e8 a9 2b c3 e9 fb ab |+u..4......+....| +00000340 52 29 15 14 0f c5 d0 00 4d 41 11 01 36 30 92 f9 |R)......MA..60..| +00000350 26 72 17 f4 da 90 f4 c7 5f 16 44 58 2b bf b5 fa |&r......_.DX+...| +00000360 54 29 c3 88 dd 66 5a 2a ed 71 b1 16 03 02 00 04 |T)...fZ*.q......| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 c5 bf e6 b3 86 12 92 df 68 fa 75 |.............h.u| -00000050 79 5f ee fe 60 91 d1 fd 8a 48 3b 97 b4 da 7f 58 |y_..`....H;....X| -00000060 3e 7e 40 d7 93 1d 6b e2 0e 2a a4 45 20 e0 9d f9 |>~@...k..*.E ...| -00000070 b6 5e b1 f1 4f |.^..O| +00000040 00 00 00 00 00 c8 e1 15 6a e9 67 43 24 88 f5 08 |........j.gC$...| +00000050 b7 fc 35 69 06 5a 44 25 75 7b eb 8a f5 fb f2 de |..5i.ZD%u{......| +00000060 63 36 14 a8 46 83 eb aa f6 e1 a5 a8 b4 1c ac 2e |c6..F...........| +00000070 ce 5c 3c 54 b1 |.\>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 bf 58 92 80 02 |..........@.X...| -00000010 75 91 40 30 35 e0 16 76 f4 97 bd 77 46 a3 a3 4e |u.@05..v...wF..N| -00000020 f1 be 53 eb b8 56 45 b1 71 c9 f8 a9 bf c6 9a 00 |..S..VE.q.......| -00000030 83 46 91 88 d5 7b 72 95 27 33 80 43 3f 3e f6 60 |.F...{r.'3.C?>.`| -00000040 c6 55 90 6a 87 8e 7d 48 27 e2 40 |.U.j..}H'.@| +00000000 14 03 02 00 01 01 16 03 02 00 40 ef f7 d8 df 4f |..........@....O| +00000010 f2 37 ed 65 b7 dc 06 a6 f5 5e 83 fb 8a 06 9b f1 |.7.e.....^......| +00000020 20 b0 32 fa e3 6e 9b 34 2b d1 76 72 5b 91 50 f2 | .2..n.4+.vr[.P.| +00000030 7b 9f 20 fe 03 71 4e 7f c4 2c 7b ce 50 17 0e 93 |{. ..qN..,{.P...| +00000040 72 21 2e f0 ac ae 94 21 01 73 0a |r!.....!.s.| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 f5 6b bc 6d 2c 70 b1 c0 f0 ab 78 |......k.m,p....x| -00000020 44 c9 97 f6 59 ef 15 e4 05 cf e0 55 ee a4 68 8c |D...Y......U..h.| -00000030 86 57 82 bd 84 15 03 02 00 30 00 00 00 00 00 00 |.W.......0......| -00000040 00 00 00 00 00 00 00 00 00 00 ef b2 a9 a5 bb a3 |................| -00000050 6e e5 d1 2b ef 83 1d 11 de 29 d2 30 2c fc 78 73 |n..+.....).0,.xs| -00000060 6b 6e 0a d2 55 67 5c d4 58 b3 |kn..Ug\.X.| +00000010 00 00 00 00 00 a6 05 8e 2e 56 e4 17 57 a8 ab 8b |.........V..W...| +00000020 28 c2 8b e4 45 fd f7 7a be d3 70 9c 35 b1 fa 7b |(...E..z..p.5..{| +00000030 2e 6c 22 ea 17 15 03 02 00 30 00 00 00 00 00 00 |.l"......0......| +00000040 00 00 00 00 00 00 00 00 00 00 ea f3 63 f7 78 0f |............c.x.| +00000050 7b 6a 2e 6f 2c 3e 9a 9b a2 54 a8 85 27 f8 40 25 |{j.o,>...T..'.@%| +00000060 30 8d df 10 ac 0c d3 78 7f 71 |0......x.q| diff --git a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 index 9dae5dd6d2b..f1e5a3b69d8 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 02 00 51 02 00 00 4d 03 02 96 ca 2a e7 23 |....Q...M....*.#| -00000010 af 2e 45 62 15 fa 5a 84 bc aa 7c 79 03 1b 37 69 |..Eb..Z...|y..7i| -00000020 a0 77 ce 03 81 b7 e5 7d 31 34 6e 20 93 83 5d 7c |.w.....}14n ..]|| -00000030 e8 c7 48 f9 67 ec 97 b1 27 b6 de de 89 07 5a cf |..H.g...'.....Z.| -00000040 44 77 48 4b e9 62 43 e3 87 fd de 87 00 05 00 00 |DwHK.bC.........| +00000000 16 03 02 00 51 02 00 00 4d 03 02 77 85 c6 83 39 |....Q...M..w...9| +00000010 1a 92 80 58 e6 3f 2e 3d a7 5e a6 aa 7f 71 dc 4a |...X.?.=.^...q.J| +00000020 d4 41 9c 3b 4e 3a 24 e7 d1 d6 2e 20 f3 b4 20 82 |.A.;N:$.... .. .| +00000030 70 01 46 66 39 76 a0 fa dc 75 5d 1c 9c a9 21 df |p.Ff9v...u]...!.| +00000040 39 fe 5f 66 ad 3e e4 45 6c 61 9d ec 00 05 00 00 |9._f.>.Ela......| 00000050 05 ff 01 00 01 00 16 03 02 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -70,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 02 00 01 |.Y(.....ia5.....| -00000090 01 16 03 02 00 24 33 5d 7f cb 6e 36 19 8b db 35 |.....$3]..n6...5| -000000a0 88 16 87 7a 9d 5a 51 27 51 13 17 64 0e 57 d5 e1 |...z.ZQ'Q..d.W..| -000000b0 6e 34 8d e6 99 a8 38 b2 e7 3a |n4....8..:| +00000090 01 16 03 02 00 24 53 6c 81 c5 58 15 92 1d c2 43 |.....$Sl..X....C| +000000a0 64 5a cc 47 00 c3 ac 93 e0 ce b0 12 ad c0 46 2b |dZ.G..........F+| +000000b0 d5 98 0a 62 83 b4 d5 47 7f f2 |...b...G..| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 24 e0 8b 90 9b 83 |..........$.....| -00000010 f5 3d 00 e9 cf 7b 1d 75 cf c8 16 f2 29 8d de 0b |.=...{.u....)...| -00000020 75 82 b1 c4 6e 1c 1f ab e9 90 74 31 99 f2 ad |u...n.....t1...| +00000000 14 03 02 00 01 01 16 03 02 00 24 45 82 0c 11 3e |..........$E...>| +00000010 79 39 fe 21 25 d7 13 72 c0 d2 93 3e 91 d3 14 f7 |y9.!%..r...>....| +00000020 24 ce 3c 36 a3 cf 2f 5e 39 7c 8d ea 31 a8 0c |$.<6../^9|..1..| >>> Flow 5 (client to server) -00000000 17 03 02 00 1a ca 2a 95 13 de 40 0d af 44 a4 aa |......*...@..D..| -00000010 9a 35 d7 38 c7 9f 74 4f 3a bf d1 9c cd 9e ee 15 |.5.8..tO:.......| -00000020 03 02 00 16 d3 a4 32 78 a9 00 1b 7a 48 3e 7c 2b |......2x...zH>|+| -00000030 f9 3b 92 32 20 0b f4 16 39 18 |.;.2 ...9.| +00000000 17 03 02 00 1a 7a 45 07 af 78 ed 83 ed 4c 18 f2 |.....zE..x...L..| +00000010 ed d1 61 43 50 95 43 50 5f b1 a5 f3 61 4f 29 15 |..aCP.CP_...aO).| +00000020 03 02 00 16 c3 86 84 11 18 ab 6e 78 f8 cc 85 e1 |..........nx....| +00000030 12 98 ae 76 87 5a cf 57 0b 22 |...v.Z.W."| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 index 4412f53c90a..4897c7768b4 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 1d be be 1e eb |....Q...M.......| -00000010 59 2c d5 07 b9 7a 64 47 95 84 ef cf d9 3e 82 4c |Y,...zdG.....>.L| -00000020 00 c0 0a 69 8a 01 2a b3 42 78 02 20 5e 32 5c 88 |...i..*.Bx. ^2\.| -00000030 50 ed d5 44 41 4f bf a9 4e 49 83 5d aa 7c 2e 5d |P..DAO..NI.].|.]| -00000040 85 e8 64 92 5e 49 5d 8a d0 0e 89 eb 00 9c 00 00 |..d.^I].........| +00000000 16 03 03 00 51 02 00 00 4d 03 03 e7 80 a2 cb d5 |....Q...M.......| +00000010 49 88 5b 23 53 c7 ec 4a 53 55 5c 99 2b 34 7c 46 |I.[#S..JSU\.+4|F| +00000020 58 fa 12 e1 e6 eb 25 b4 d6 36 14 20 7e 20 cc 81 |X.....%..6. ~ ..| +00000030 2d 5d bd 2f 55 85 0e 90 68 db 4f f5 50 ed 5a ed |-]./U...h.O.P.Z.| +00000040 c1 1d 08 0c 3e ec 08 29 ab 05 93 84 00 9c 00 00 |....>..)........| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -70,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 69 38 |.....(........i8| -000000a0 97 84 2e 77 5c b8 58 82 b5 78 85 2e f3 7b 92 81 |...w\.X..x...{..| -000000b0 00 72 91 23 41 ae 59 6c 18 64 f0 62 f2 c9 |.r.#A.Yl.d.b..| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 29 1c |.....(........).| +000000a0 41 c5 df 82 14 4e 9b 66 2f 56 35 5b ae b5 4d 09 |A....N.f/V5[..M.| +000000b0 5e df 1e cb 2a 9b 7c ac c7 25 50 ff 50 61 |^...*.|..%P.Pa| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 37 f7 98 2f 78 |..........(7../x| -00000010 54 85 5f 2e cb a9 b7 bf 4b 2d 62 06 e2 32 cd 18 |T._.....K-b..2..| -00000020 de f5 54 c8 e0 54 2d c5 b4 98 07 7e c7 b7 79 a0 |..T..T-....~..y.| -00000030 75 af 5c |u.\| +00000000 14 03 03 00 01 01 16 03 03 00 28 55 9a 0c 6f c0 |..........(U..o.| +00000010 64 da c8 37 d8 ec d5 b8 57 1d 50 9f 9c a6 9b cf |d..7....W.P.....| +00000020 b9 a5 9a 1b 90 25 71 20 54 56 a4 23 09 fa 0d 08 |.....%q TV.#....| +00000030 57 23 e8 |W#.| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 78 c1 c0 |.............x..| -00000010 7d 1b a8 b2 80 0e a3 64 cf e0 fa 71 9d 37 5d 32 |}......d...q.7]2| -00000020 8d 36 38 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.68.............| -00000030 c2 f3 41 1a 2c a4 4f 48 fa 61 14 40 60 51 e5 99 |..A.,.OH.a.@`Q..| -00000040 c6 e5 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 67 1b cc |.............g..| +00000010 67 44 5b 4d d8 38 3c 69 6e 40 24 4f be 8e 33 ec |gD[M.8>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 c3 41 d7 9c 1b |....Q...M...A...| -00000010 9a ff f8 17 af 41 df 8d 96 70 bb b8 f6 9a 4c a2 |.....A...p....L.| -00000020 03 25 31 2c 58 fa 05 5b 12 85 6a 20 18 3c 34 d6 |.%1,X..[..j .<4.| -00000030 08 44 46 a5 5c b1 40 0d 38 33 c0 2d ea a6 46 53 |.DF.\.@.83.-..FS| -00000040 0e 09 39 6f 11 35 02 63 cf 21 74 c2 00 3c 00 00 |..9o.5.c.!t..<..| +00000000 16 03 03 00 51 02 00 00 4d 03 03 99 96 8e de bf |....Q...M.......| +00000010 cc 68 e0 34 27 7c 65 b2 a2 07 34 27 8d c9 17 60 |.h.4'|e...4'...`| +00000020 4c fa 56 16 4f fe df 8f a6 74 5a 20 00 61 d8 42 |L.V.O....tZ .a.B| +00000030 4f cd 56 cb cb d4 22 cb ac 45 55 6a e2 f4 25 c6 |O.V..."..EUj..%.| +00000040 5e 6d ee e7 9f eb 19 8f 79 da 8f d7 00 3c 00 00 |^m......y....<..| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,25 +72,25 @@ 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| 00000090 01 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 |.....P..........| -000000a0 00 00 00 00 00 00 88 20 99 51 5e fb 72 79 7f f8 |....... .Q^.ry..| -000000b0 b2 a9 56 96 a3 03 1d a0 e0 38 1a be 4c ea 80 f9 |..V......8..L...| -000000c0 c0 ef 45 81 91 7f b9 1b f7 91 3b 4e 05 87 d6 73 |..E.......;N...s| -000000d0 c0 27 94 50 4f 00 ee c1 02 af 5f 6f 4c a5 0e 5b |.'.PO....._oL..[| -000000e0 6c 76 87 28 b4 bf |lv.(..| +000000a0 00 00 00 00 00 00 5e 43 0c 90 fe b7 a7 d6 eb de |......^C........| +000000b0 61 b4 eb 6e d9 fb 1c 5b 54 5b ae 10 5b de 27 02 |a..n...[T[..[.'.| +000000c0 2a 57 ee 1a 5e fb cc bb ad da ac 92 f1 0a 57 73 |*W..^.........Ws| +000000d0 dc 29 5f 16 e6 c4 cb f0 31 c5 20 d0 c0 28 19 32 |.)_.....1. ..(.2| +000000e0 5b e2 ac 64 2d eb |[..d-.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 93 14 a5 13 16 |..........P.....| -00000010 d7 af 14 81 94 33 2d ae f7 7a b1 b1 a5 38 fb e8 |.....3-..z...8..| -00000020 c8 38 b3 ce f1 eb 70 e7 84 b6 fc 25 25 32 a9 09 |.8....p....%%2..| -00000030 d1 0d 2d 59 57 6d d0 42 e8 c1 81 92 d0 af fb 5a |..-YWm.B.......Z| -00000040 08 7e 0f 3d 10 e5 42 6d 27 cd 8c 32 b2 20 4b 0a |.~.=..Bm'..2. K.| -00000050 75 76 ed 08 54 fe 74 94 72 35 9e |uv..T.t.r5.| +00000000 14 03 03 00 01 01 16 03 03 00 50 30 ff 30 c1 6d |..........P0.0.m| +00000010 8b 8b 73 31 d6 33 8c ce 18 a3 41 38 a0 2c ce f6 |..s1.3....A8.,..| +00000020 1d 53 52 66 33 59 6c c4 de 61 45 60 60 50 ff c8 |.SRf3Yl..aE``P..| +00000030 ad 26 92 d9 89 7a 12 f0 82 61 df c6 a8 cc ca a6 |.&...z...a......| +00000040 52 52 9f 24 b0 cb 1e 79 d0 12 e1 61 18 0c c8 bc |RR.$...y...a....| +00000050 f0 f1 54 86 c5 2a 8d 9c cb 8f fc |..T..*.....| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 53 91 38 34 33 20 94 0d 76 d7 72 |.....S.843 ..v.r| -00000020 48 f3 17 34 01 ae 0e 89 db 60 f1 4e 64 a5 cf 0c |H..4.....`.Nd...| -00000030 32 52 3f a0 18 f8 c5 57 ed 3a d1 41 19 81 cf 0a |2R?....W.:.A....| -00000040 f2 d8 90 4b ba 15 03 03 00 40 00 00 00 00 00 00 |...K.....@......| -00000050 00 00 00 00 00 00 00 00 00 00 05 2b 31 3c 1b a2 |...........+1<..| -00000060 11 87 5f 0f 49 72 bb 67 e6 75 18 9c b1 f4 6c ed |.._.Ir.g.u....l.| -00000070 4d 01 58 35 30 43 44 e8 ee 1d f2 81 9d 67 6d 77 |M.X50CD......gmw| -00000080 1e 36 61 7f f3 32 3d 60 73 6d |.6a..2=`sm| +00000010 00 00 00 00 00 72 cc 50 8b 2f 17 86 fe 91 2e c5 |.....r.P./......| +00000020 18 5d f3 51 ea 4f 77 19 5b 11 3e 9a b6 3e 2c 6e |.].Q.Ow.[.>..>,n| +00000030 0b 67 6d 39 a4 31 0f 7c a5 de 3e bb 7d b7 29 88 |.gm9.1.|..>.}.).| +00000040 d2 9a 12 27 9e 15 03 03 00 40 00 00 00 00 00 00 |...'.....@......| +00000050 00 00 00 00 00 00 00 00 00 00 f6 44 f8 eb cf e0 |...........D....| +00000060 dd 07 ab aa 90 72 11 cb e6 3c d5 29 f6 4d 45 72 |.....r...<.).MEr| +00000070 e7 db a9 52 1b f2 ff fb 60 91 23 cc a5 1a 00 4f |...R....`.#....O| +00000080 57 3a a0 da e4 ee 3d 80 32 70 |W:....=.2p| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 index 2f552cbb627..55620c5666b 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 2b 59 94 f3 9e |....Q...M..+Y...| -00000010 23 ae d3 58 82 1f 2e be 38 1d 14 e4 4c a4 b8 ed |#..X....8...L...| -00000020 95 08 b9 44 60 02 4b 0b a9 6e ae 20 9b 43 e5 2a |...D`.K..n. .C.*| -00000030 0f 08 8e a4 c1 c0 15 79 9f af a5 ab a3 67 9d 09 |.......y.....g..| -00000040 23 0e 8e 96 a9 aa 7d 26 74 d8 0c 9a 00 9d 00 00 |#.....}&t.......| +00000000 16 03 03 00 51 02 00 00 4d 03 03 5c f4 45 2c cf |....Q...M..\.E,.| +00000010 06 c6 8e 9a 9c 69 e8 fd 33 fc e2 99 90 20 e0 70 |.....i..3.... .p| +00000020 ae 02 b5 8c df 14 a0 1e a9 96 55 20 be 34 76 5a |..........U .4vZ| +00000030 44 28 af 28 58 df 22 97 a2 5a ad d8 08 32 a0 ad |D(.(X."..Z...2..| +00000040 a1 32 68 9f c7 8a fa e6 84 e0 1c bc 00 9d 00 00 |.2h.............| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -70,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 59 fc |.....(........Y.| -000000a0 aa b1 84 ab 09 82 00 88 8e e4 82 6e cd 24 9f b5 |...........n.$..| -000000b0 01 95 d3 c3 f4 a2 16 54 25 91 77 76 fc f0 |.......T%.wv..| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 21 98 |.....(........!.| +000000a0 7e 90 9a 58 ef 28 21 eb 08 a3 29 b3 77 06 3e 90 |~..X.(!...).w.>.| +000000b0 c1 d2 02 32 91 93 b1 8f 65 5f 66 0d 74 16 |...2....e_f.t.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 67 ac 20 d9 b6 |..........(g. ..| -00000010 a9 f0 ec f6 7b 34 31 3a 5e 06 20 0f 5b 32 86 1b |....{41:^. .[2..| -00000020 da 5a c5 54 47 d0 ad 4f 95 2c b5 1f 17 3f ec 17 |.Z.TG..O.,...?..| -00000030 a3 01 fc |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 a7 20 23 2c 7c |..........(. #,|| +00000010 6e a6 da c6 ec 91 f7 b4 1b 22 00 bf 07 53 1d d0 |n........"...S..| +00000020 e0 c5 af 4b 12 e3 7a 61 19 be 6c f0 be 9c 06 d4 |...K..za..l.....| +00000030 3e 09 e6 |>..| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 6c 9c 0a |.............l..| -00000010 ae 0b 40 57 8b 24 6d 09 77 ae 2f 14 be 06 26 9e |..@W.$m.w./...&.| -00000020 0a bf 18 15 03 03 00 1a 00 00 00 00 00 00 00 02 |................| -00000030 32 50 20 68 3d 05 68 ed 0c ac 7a db 24 21 7e e0 |2P h=.h...z.$!~.| -00000040 9e f0 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 02 bd 49 |...............I| +00000010 04 49 94 df e6 c0 6f 67 3c 94 82 85 d2 d6 0d 75 |.I....og<......u| +00000020 66 b6 c6 15 03 03 00 1a 00 00 00 00 00 00 00 02 |f...............| +00000030 42 9d 45 29 22 17 9d c4 53 23 37 cf 38 53 84 d0 |B.E)"...S#7.8S..| +00000040 a9 5d |.]| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ALPN b/src/crypto/tls/testdata/Client-TLSv12-ALPN index 358b211fc19..341c4889947 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv12-ALPN @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 0e 01 00 01 0a 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 10 01 00 01 0c 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,22 +7,22 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 8f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 91 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 10 00 10 00 0e 06 70 72 6f 74 6f |...........proto| -000000d0 32 06 70 72 6f 74 6f 31 00 12 00 00 00 2b 00 09 |2.proto1.....+..| -000000e0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000f0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -00000100 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000110 cb 3b 74 |.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 10 00 10 00 0e 06 70 72 6f |a............pro| +000000d0 74 6f 32 06 70 72 6f 74 6f 31 00 12 00 00 00 2b |to2.proto1.....+| +000000e0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000f0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +00000100 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000110 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 66 02 00 00 62 03 03 95 14 55 52 0b |....f...b....UR.| -00000010 e7 c1 15 6b dc 19 3b 17 9e bb 6a b7 61 82 dc 59 |...k..;...j.a..Y| -00000020 d3 a4 7c e1 c3 83 cc e2 e5 56 e0 20 3c 82 0d 54 |..|......V. <..T| -00000030 2b 78 fe 50 cb 4e c1 69 d7 6f b3 9f ac 2e 27 c8 |+x.P.N.i.o....'.| -00000040 c6 7a 70 27 1e 14 67 43 4c f1 7d d7 cc a8 00 00 |.zp'..gCL.}.....| +00000000 16 03 03 00 66 02 00 00 62 03 03 d6 0d 8b 2c c0 |....f...b.....,.| +00000010 44 ef c9 61 89 4e d5 f0 ab 20 e2 da 10 55 49 c9 |D..a.N... ...UI.| +00000020 5d 84 17 95 05 48 68 bf b5 fa df 20 20 da f7 7c |]....Hh.... ..|| +00000030 26 5e 93 a1 c1 94 d0 23 08 58 3a 6a 5c 1d db c1 |&^.....#.X:j\...| +00000040 26 10 ec 62 34 ae 41 b1 b8 35 be 82 cc a8 00 00 |&..b4.A..5......| 00000050 1a ff 01 00 01 00 00 0b 00 04 03 00 01 02 00 10 |................| 00000060 00 09 00 07 06 70 72 6f 74 6f 31 16 03 03 02 59 |.....proto1....Y| 00000070 0b 00 02 55 00 02 52 00 02 4f 30 82 02 4b 30 82 |...U..R..O0..K0.| @@ -63,31 +63,31 @@ 000002a0 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d ae db 46 |.....@.a.Lr+...F| 000002b0 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db fe 3d 13 |..M...>...B...=.| 000002c0 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -000002d0 00 a8 03 00 1d 20 c3 e3 43 9c 5d 0f 09 61 ae 18 |..... ..C.]..a..| -000002e0 66 05 b1 7d c1 9f e5 26 9c a7 97 d6 1f 9a 7c ff |f..}...&......|.| -000002f0 8c 34 a1 32 a2 35 08 04 00 80 6c 50 a1 80 d9 20 |.4.2.5....lP... | -00000300 56 08 da d9 5b 77 4d ad 43 66 71 15 ec fe db 02 |V...[wM.Cfq.....| -00000310 fb 40 d8 8d 67 22 e2 1b ec 8d b9 4e ba 65 01 8b |.@..g".....N.e..| -00000320 70 e0 83 bc 06 1b 14 8f 07 cf a6 08 58 c3 77 94 |p...........X.w.| -00000330 0f 94 53 62 54 6c 1f 92 22 9d ae f8 5a ad d5 f3 |..SbTl.."...Z...| -00000340 8a f7 e6 93 8c 0e 48 1b 23 89 d8 bd e9 5c 50 cd |......H.#....\P.| -00000350 07 3d 7e 8e b0 d6 65 44 58 62 03 a1 d9 94 72 f0 |.=~...eDXb....r.| -00000360 25 a9 e0 c1 be ac 32 05 59 f7 7f 6e 13 23 70 5a |%.....2.Y..n.#pZ| -00000370 65 ba a2 d7 da 3c a2 9e 6b 13 16 03 03 00 04 0e |e....<..k.......| +000002d0 00 a8 03 00 1d 20 47 e2 87 15 b7 72 e1 10 57 ad |..... G....r..W.| +000002e0 d1 ba 72 9a 09 30 18 75 c4 68 c7 cc 6f 3e d0 3c |..r..0.u.h..o>.<| +000002f0 22 ec fc 35 5a 0f 08 04 00 80 94 45 0b 63 8e b9 |"..5Z......E.c..| +00000300 87 ac 67 8d e9 ed fb 74 0c 04 24 28 d2 36 78 85 |..g....t..$(.6x.| +00000310 fc 8a c6 33 4a 70 fa 04 aa 66 71 10 ab ae aa ad |...3Jp...fq.....| +00000320 dc e8 2a 9e 8f fc 09 4d 79 0b 84 d7 5d 1c 9e dc |..*....My...]...| +00000330 9c e6 dc ad 8b b2 68 5b f8 01 fb 28 33 65 94 19 |......h[...(3e..| +00000340 18 d1 24 2f 32 dc 7c c6 a1 ac 4f 51 5a cb cf 0e |..$/2.|...OQZ...| +00000350 a1 80 3d 16 2a f9 2c de 1f 6c 51 d3 83 d5 ff 70 |..=.*.,..lQ....p| +00000360 24 6d 67 79 76 3c bb c3 76 8b 57 bb c7 a7 4b db |$mgyv<..v.W...K.| +00000370 07 da 4c 32 20 15 c8 33 73 bb 16 03 03 00 04 0e |..L2 ..3s.......| 00000380 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 5e 91 45 7d ab 7c b7 6f 57 a6 d0 |.... ^.E}.|.oW..| -00000040 17 83 cb 40 1b 76 6b 5e 80 39 03 2f 6d 2f 10 8e |...@.vk^.9./m/..| -00000050 74 33 12 54 8d |t3.T.| +00000030 16 03 03 00 20 69 ef fc 38 05 07 0b aa bd ea 80 |.... i..8.......| +00000040 d7 81 ca 76 a5 da 96 74 83 ce 15 74 81 74 6e c9 |...v...t...t.tn.| +00000050 38 52 a6 af ea |8R...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 f1 3c 7a 28 eb |.......... .>> Flow 5 (client to server) -00000000 17 03 03 00 16 dc f6 18 54 22 e0 9c 08 bf db a8 |........T"......| -00000010 62 2a 64 9e 06 43 0f 22 18 0e 34 15 03 03 00 12 |b*d..C."..4.....| -00000020 20 2f f4 76 cd dc 82 eb 30 f9 e0 42 6b 29 16 ed | /.v....0..Bk)..| -00000030 7c f0 ||.| +00000000 17 03 03 00 16 60 22 c0 7b f0 25 a5 6b 75 bd d2 |.....`".{.%.ku..| +00000010 ab c6 08 70 cb 74 5a 98 c8 24 23 15 03 03 00 12 |...p.tZ..$#.....| +00000020 7f 6b d1 ec a5 6f 4b dd 0b 0c 5b 85 a7 98 26 94 |.k...oK...[...&.| +00000030 ad 9e |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA index e40999fb852..292eb9e2b55 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 08 a4 b1 ad 21 |....Y...U......!| -00000010 3a 60 7a d3 3b 60 67 48 5d de da ff 3f a8 55 a9 |:`z.;`gH]...?.U.| -00000020 c4 72 69 32 12 c1 d1 4e d4 78 e1 20 6e 9f ed 1e |.ri2...N.x. n...| -00000030 50 9a 31 e2 ae e2 6a f4 01 cc 94 21 25 73 f3 a5 |P.1...j....!%s..| -00000040 f6 28 b3 c6 6b c1 b3 2d fc 0c d3 66 c0 09 00 00 |.(..k..-...f....| +00000000 16 03 03 00 59 02 00 00 55 03 03 af d9 14 ad af |....Y...U.......| +00000010 63 f5 ff 2b 1c e7 3e 32 47 38 32 32 79 9e 09 41 |c..+..>2G822y..A| +00000020 70 9b 20 ae 80 a7 be 0f a9 b2 25 20 ed 26 d3 9d |p. .......% .&..| +00000030 c7 a9 21 6c 67 69 f4 cb 1d 06 4f 84 d2 be 48 11 |..!lgi....O...H.| +00000040 bf 6a 64 84 63 ec c4 29 ff f6 aa 87 c0 09 00 00 |.jd.c..)........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 ec f3 |*............ ..| -00000280 2b 3b be 93 68 53 f2 ab 6c 97 5a fa 9b 8c bf eb |+;..hS..l.Z.....| -00000290 37 6f af d7 b8 02 f3 8c 0b f9 75 29 11 32 04 03 |7o........u).2..| -000002a0 00 8b 30 81 88 02 42 01 9d 90 aa b3 19 d2 9d cf |..0...B.........| -000002b0 92 c1 64 05 89 db d0 dd 80 f3 a4 7e 09 ec 36 22 |..d........~..6"| -000002c0 95 79 c4 36 0e 21 80 7d 4b 72 a5 38 a4 b0 a7 5f |.y.6.!.}Kr.8..._| -000002d0 fb ae f7 66 23 82 91 c2 f8 95 df 60 ce dc e8 1a |...f#......`....| -000002e0 3f 2b 2c fa 5e 58 67 98 78 02 42 00 fa 88 7f ae |?+,.^Xg.x.B.....| -000002f0 00 55 2c a1 c2 47 ed c8 11 74 64 e7 c6 30 63 fb |.U,..G...td..0c.| -00000300 bb 42 2a 02 9b 80 60 88 e7 3f af 17 a3 7f 1e f6 |.B*...`..?......| -00000310 31 9c 1f 8c 89 e5 a0 b1 01 2a 4e d8 d2 1e 9f 11 |1........*N.....| -00000320 f5 e3 35 38 3e b0 da 30 f1 fb ed e5 d1 16 03 03 |..58>..0........| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 dd f3 |*............ ..| +00000280 7a f5 36 e0 f5 61 f4 3a 0a f9 cf 47 6f 10 34 93 |z.6..a.:...Go.4.| +00000290 5b 74 e1 e5 66 bf 77 53 85 e0 c7 25 dc 0b 04 03 |[t..f.wS...%....| +000002a0 00 8b 30 81 88 02 42 01 fa 37 7d ac 5b d6 9a a8 |..0...B..7}.[...| +000002b0 78 fb 0d 44 04 04 63 4b 33 48 c7 d8 cd 39 76 a3 |x..D..cK3H...9v.| +000002c0 1f dd 98 c0 80 74 27 ef da 66 b4 71 6b b0 43 13 |.....t'..f.qk.C.| +000002d0 10 ac 03 a4 db 84 2a 75 bb 30 3a 45 7c 61 a6 e9 |......*u.0:E|a..| +000002e0 ed 10 9e ec 69 2e 51 54 d3 02 42 01 b3 93 f7 13 |....i.QT..B.....| +000002f0 69 c7 3f 80 76 13 8d 00 a8 7a 1b ea aa 43 f5 00 |i.?.v....z...C..| +00000300 5d 4a 4b 66 f5 cf ac f3 f0 b8 6c f5 73 52 aa 5a |]JKf......l.sR.Z| +00000310 e6 f6 f2 7d 7a 8b 9a ae 80 68 e5 50 da 4b b4 7a |...}z....h.P.K.z| +00000320 d5 18 72 b2 a5 3e 10 ae 9a 91 02 35 99 16 03 03 |..r..>.....5....| 00000330 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000340 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000350 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -109,31 +110,31 @@ 00000210 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| 00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 93 0f 00 |...._X.;t.......| -00000240 00 8f 04 03 00 8b 30 81 88 02 42 01 e6 0a ff de |......0...B.....| -00000250 af a6 d2 7a 5f 4e f8 eb c8 19 74 53 5c e8 bc 2d |...z_N....tS\..-| -00000260 72 24 11 d2 11 ec ec cd a1 9c 3d 10 a2 de f8 8b |r$........=.....| -00000270 22 98 d3 33 c2 13 3b 93 89 ae ca a6 a8 94 70 fe |"..3..;.......p.| -00000280 76 2f 04 bc ac fb 66 79 3b 76 7f 6d 96 02 42 01 |v/....fy;v.m..B.| -00000290 df f6 30 14 7c 7e a1 0b f6 b8 8b d7 75 b8 bd 0e |..0.|~......u...| -000002a0 63 8a bd 8b ec 75 70 db d9 37 d7 53 f3 8b a2 ae |c....up..7.S....| -000002b0 60 96 69 74 eb bb 3d a6 9a 7d 46 51 73 ff 78 cf |`.it..=..}FQs.x.| -000002c0 7f 49 d9 27 5e 9f f9 d2 11 cc 0e e4 dc 04 fe d5 |.I.'^...........| -000002d0 d2 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 |...........@....| -000002e0 00 00 00 00 00 00 00 00 00 00 00 00 7a db 34 e9 |............z.4.| -000002f0 98 f8 c1 f0 38 c3 33 22 5c c3 45 b0 a3 10 3c 77 |....8.3"\.E...adsE0.....v%| +00000270 e6 a8 7b 44 ea 20 f1 5c 23 b7 d5 f2 ff 2a 99 3a |..{D. .\#....*.:| +00000280 4b ae 20 28 1c 4a d2 31 85 2f ee 54 12 02 42 00 |K. (.J.1./.T..B.| +00000290 a2 00 21 61 1c 84 7a 52 91 8c ab 08 24 69 f7 2a |..!a..zR....$i.*| +000002a0 68 aa 5e d6 5e 59 54 04 ee 18 09 9b 7d ee a4 c8 |h.^.^YT.....}...| +000002b0 4f af 21 b3 c5 74 04 c1 02 46 b1 04 6b 73 68 5e |O.!..t...F..ksh^| +000002c0 1a 11 dd b2 35 70 de 9c 02 0a 81 aa aa e8 8f b9 |....5p..........| +000002d0 2b 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 |+..........@....| +000002e0 00 00 00 00 00 00 00 00 00 00 00 00 e7 e1 71 39 |..............q9| +000002f0 0b 11 39 dd c1 85 4c a5 35 df c7 6b 2e 35 c3 0a |..9...L.5..k.5..| +00000300 6f 97 83 35 ed db 70 25 50 a0 19 9f 89 9c 7a e9 |o..5..p%P.....z.| +00000310 57 7b d9 03 fa 8b de d0 32 57 ac 50 |W{......2W.P| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 18 c0 f3 96 7b |..........@....{| -00000010 45 91 6d 5b 1c 67 4f 37 74 b7 db 72 45 57 09 25 |E.m[.gO7t..rEW.%| -00000020 4a 14 68 4d 78 6c c7 15 6a b1 57 e6 ff 53 c4 58 |J.hMxl..j.W..S.X| -00000030 41 c5 6b 08 3c 5a 8c b9 04 d0 27 62 ee a6 e3 36 |A.k.>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 a6 c2 ef 07 bb 38 4a e4 8f 0c 12 |..........8J....| -00000020 19 1a 96 62 22 57 57 a2 b5 b3 06 70 95 28 a7 f7 |...b"WW....p.(..| -00000030 0d 42 69 37 7f 15 03 03 00 30 00 00 00 00 00 00 |.Bi7.....0......| -00000040 00 00 00 00 00 00 00 00 00 00 04 ed 3e 68 40 eb |............>h@.| -00000050 a0 7e 57 da 27 e7 f5 e8 6c e5 6d 58 c8 a5 18 47 |.~W.'...l.mX...G| -00000060 92 5a 43 90 de 07 9e 9a 3b cc |.ZC.....;.| +00000010 00 00 00 00 00 95 82 5d 8a 05 ff 43 5d 68 df 23 |.......]...C]h.#| +00000020 3a 38 ff 9f c4 6c 96 47 29 2c 73 6c 89 0c f5 d7 |:8...l.G),sl....| +00000030 41 7d 60 b4 bd 15 03 03 00 30 00 00 00 00 00 00 |A}`......0......| +00000040 00 00 00 00 00 00 00 00 00 00 ea b8 9d 6f 0a 0c |.............o..| +00000050 05 c4 aa fc 60 c6 f0 36 a3 3b 38 4b 63 f1 4d 97 |....`..6.;8Kc.M.| +00000060 c2 3c a2 d7 a8 05 26 1a b0 e9 |.<....&...| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA index f5fae453a86..226885e5b18 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 be ba ac 2a 81 |....Y...U.....*.| -00000010 33 b1 6e 4d 8b 9b 29 f9 16 86 bc cd b2 03 50 72 |3.nM..).......Pr| -00000020 91 9a 93 f9 e1 d6 27 55 8b b8 6c 20 84 c2 21 9e |......'U..l ..!.| -00000030 60 aa b3 f0 ec 2f 66 0d 59 31 02 08 9e 68 68 c0 |`..../f.Y1...hh.| -00000040 58 9a 8e 6c 25 ce 4d e3 3f 9d dc 91 c0 2f 00 00 |X..l%.M.?..../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 05 d3 f7 24 78 |....Y...U.....$x| +00000010 ce ed 42 3c cb 8f 73 73 9b 09 8e d2 8f 37 67 47 |..B<..ss.....7gG| +00000020 53 5a ff a7 1f 43 64 26 fb 3e 85 20 b0 a1 21 57 |SZ...Cd&.>. ..!W| +00000030 b4 a8 55 5c 34 bc 34 92 89 21 0f 69 ca 8e f9 ba |..U\4.4..!.i....| +00000040 f0 bf ef bd 81 7b 66 bc a2 44 b6 f1 c0 2f 00 00 |.....{f..D.../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 82 89 54 65 64 97 8d |........ ..Ted..| -000002d0 e8 63 a2 5b 4f 16 56 7c cf 8b 0a 75 46 52 7e b6 |.c.[O.V|...uFR~.| -000002e0 99 2a e9 52 1f 11 46 85 36 08 04 00 80 cd a5 84 |.*.R..F.6.......| -000002f0 ff 9a 79 b5 04 85 88 fb 1e 1c d6 6b 78 e8 4d a5 |..y........kx.M.| -00000300 10 38 25 8e 8d de 71 51 b5 fd a6 2a f8 8b 5c 6d |.8%...qQ...*..\m| -00000310 1e 88 f7 d8 12 24 ff f7 7e dd 05 1c bf 71 7d 4f |.....$..~....q}O| -00000320 26 2f 2e 27 d8 e1 a8 8b d2 42 2b a6 d9 4e e6 60 |&/.'.....B+..N.`| -00000330 48 57 38 5d 3b f3 94 74 2c 8f ba e0 84 54 1c c0 |HW8];..t,....T..| -00000340 10 51 a0 31 1a d0 ec 72 01 f1 d3 65 73 c7 40 25 |.Q.1...r...es.@%| -00000350 af cd 10 18 29 2c 1a 52 e0 c9 a6 de 85 8c 96 e6 |....),.R........| -00000360 7d 85 0a 64 86 59 39 25 8f 8c 36 4c 37 16 03 03 |}..d.Y9%..6L7...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 87 51 fa 0b c6 fc 66 |........ .Q....f| +000002d0 c0 5f 7f fe e8 07 5f d4 17 80 b7 05 f8 26 45 11 |._...._......&E.| +000002e0 bc e8 f3 55 4c 53 f4 fc 19 08 04 00 80 24 54 31 |...ULS.......$T1| +000002f0 6e 40 ad 92 48 2b 76 7d 2c 4f b0 e8 d6 56 5d e2 |n@..H+v},O...V].| +00000300 48 00 09 34 ee 13 dd 5c 22 19 19 a1 d8 bb a6 aa |H..4...\".......| +00000310 25 5e a4 e5 96 5f 1c d7 67 cd 48 01 f0 19 96 e0 |%^..._..g.H.....| +00000320 c0 0f fd e8 3f 33 5b 92 60 cd a6 c3 da 55 73 f3 |....?3[.`....Us.| +00000330 1e ba bc aa 45 78 bf b9 6f c0 0e 50 b9 fe 38 23 |....Ex..o..P..8#| +00000340 8e 36 70 77 f0 37 e7 94 70 74 15 10 39 d2 32 96 |.6pw.7..pt..9.2.| +00000350 cb de 26 ae b7 f0 de 30 71 ee 3d af a8 31 aa e6 |..&....0q.=..1..| +00000360 4a 35 aa 44 03 1b 7a 5e 34 84 f4 e2 c5 16 03 03 |J5.D..z^4.......| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,27 +114,27 @@ 00000210 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| 00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 92 0f 00 |...._X.;t.......| -00000240 00 8e 04 03 00 8a 30 81 87 02 41 72 16 75 7d 08 |......0...Ar.u}.| -00000250 42 7b 33 e7 59 51 ef 3c 54 e7 81 e4 10 31 ab 5d |B{3.YQ...7L....pF.u.P| +00000300 8e 2d 44 |.-D| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 b8 e9 dd 30 75 |..........(...0u| -00000010 40 7d 71 76 db 9a 95 92 81 02 3a 9e 36 d5 15 ca |@}qv......:.6...| -00000020 5d 63 a1 0f 8c 53 c9 1c 37 56 b2 0d 54 15 a2 dc |]c...S..7V..T...| -00000030 03 d6 2e |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 90 2c 3a 5e 6f |..........(.,:^o| +00000010 11 1b f0 30 b1 22 ad 9b 27 54 9a 93 79 d4 c7 c9 |...0."..'T..y...| +00000020 ea 46 7d 94 34 70 c2 15 53 40 cd 86 e6 76 af bc |.F}.4p..S@...v..| +00000030 c8 c7 8c |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 01 85 96 |................| -00000010 67 b2 4b d3 e3 27 80 9f 2d a8 f4 bf 47 91 58 6e |g.K..'..-...G.Xn| -00000020 47 d8 98 15 03 03 00 1a 00 00 00 00 00 00 00 02 |G...............| -00000030 36 54 82 d1 a2 0f 2a c3 53 f6 09 d0 5c 78 46 97 |6T....*.S...\xF.| -00000040 20 41 | A| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 55 8d 3d |.............U.=| +00000010 03 0c 61 b6 67 03 5d 8f 2c 80 4d e8 a3 7f d6 1b |..a.g.].,.M.....| +00000020 7a ff 4c 15 03 03 00 1a 00 00 00 00 00 00 00 02 |z.L.............| +00000030 49 1c 20 4e 9f 6d d9 e8 3c 74 27 91 97 d2 04 94 |I. N.m..>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 1c 50 4e 50 35 |....Y...U...PNP5| -00000010 51 02 a9 62 ba 82 a5 d3 fa 40 4e f3 28 9b 50 a6 |Q..b.....@N.(.P.| -00000020 f0 75 30 e9 fe be a3 42 1d 1c f5 20 9e 88 46 57 |.u0....B... ..FW| -00000030 c5 b4 a3 a3 fc 88 bb e0 1c 5e ea 77 a0 75 93 5a |.........^.w.u.Z| -00000040 6d 4c c7 57 6f 3a 05 af 3f 3f ac 75 cc a8 00 00 |mL.Wo:..??.u....| +00000000 16 03 03 00 59 02 00 00 55 03 03 d5 c7 89 36 6d |....Y...U.....6m| +00000010 a0 f3 02 38 a6 68 df 29 85 b5 ec 16 c4 f8 6f 77 |...8.h.)......ow| +00000020 2f a7 42 0c 7d 8d 95 27 5c bd 53 20 bf e4 7f 7e |/.B.}..'\.S ...~| +00000030 cf 85 37 02 da 19 89 b5 ce d6 74 2e 06 4d 71 be |..7.......t..Mq.| +00000040 83 07 a9 20 f9 b0 b8 0b b4 00 f2 b0 cc a8 00 00 |... ............| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 82 c1 f5 7b 68 eb 7a |........ ...{h.z| -000002d0 cf 02 c9 95 28 4b 31 76 a9 84 93 a9 1f 5b f4 2a |....(K1v.....[.*| -000002e0 5c a5 31 94 5f f0 e0 ed 2e 08 04 00 80 7a 99 38 |\.1._........z.8| -000002f0 7f d0 25 4b bf a9 e0 2b db ce 17 9d 30 4b 82 9e |..%K...+....0K..| -00000300 b1 50 84 fc dd b0 a8 5c 39 20 00 40 5b 92 dc 7c |.P.....\9 .@[..|| -00000310 25 3b 53 7d 5a 4b ad 05 6f 3a 4f e5 84 b6 3a e2 |%;S}ZK..o:O...:.| -00000320 fb bf cb c8 94 39 a5 28 ad c8 5f 94 53 90 0e 61 |.....9.(.._.S..a| -00000330 af f2 92 2c 3b ec 3c bf 1d d3 8b a5 65 58 5b bf |...,;.<.....eX[.| -00000340 5a 21 3d cd 40 7c 9e 1d e9 62 3c 67 71 7c ec b4 |Z!=.@|...b....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 80 92 98 25 f5 ce 6a |........ ...%..j| +000002d0 d5 85 ed 78 64 51 08 6c 84 d5 73 36 8a 4b fe ac |...xdQ.l..s6.K..| +000002e0 7c 4e 10 30 f7 82 df 1c 79 08 04 00 80 59 dc 03 ||N.0....y....Y..| +000002f0 41 6f da f5 16 60 60 46 9e f6 a5 74 39 85 c1 22 |Ao...``F...t9.."| +00000300 f0 67 6d fd d7 b6 4e 7c f2 d6 b6 90 19 fe f5 8d |.gm...N|........| +00000310 db 0a 7e f1 8e 89 28 3c 35 7c e8 38 cd 2f 26 73 |..~...(<5|.8./&s| +00000320 6f 3f ba ba 00 92 49 5c 24 7a c2 76 06 1e 24 dd |o?....I\$z.v..$.| +00000330 e4 cb b8 11 41 79 bb 16 b5 37 ea 99 0b 8e 86 c8 |....Ay...7......| +00000340 44 86 76 e8 73 42 e5 91 35 e1 57 17 dc 46 ca 3c |D.v.sB..5.W..F.<| +00000350 31 25 ab 07 98 1d fe 6e 67 bf c2 61 46 52 54 fe |1%.....ng..aFRT.| +00000360 f4 b2 d0 de 0e cc 12 c8 94 dd 31 8b d0 16 03 03 |..........1.....| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -100,20 +101,20 @@ 00000140 08 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 |.....%...! /.}.G| 00000150 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| 00000160 c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 48 |......_X.;t....H| -00000170 0f 00 00 44 08 07 00 40 af a6 03 14 53 7a 4f 75 |...D...@....SzOu| -00000180 9d cc 2f e3 e7 2a 51 16 16 b0 1d 28 e0 2a 59 f0 |../..*Q....(.*Y.| -00000190 3c df cc 18 dd b8 ef d1 9f 9d 03 8e 59 00 27 d1 |<...........Y.'.| -000001a0 39 2f 3b 33 53 1f b2 f0 22 1d 06 f6 50 0b a7 98 |9/;3S..."...P...| -000001b0 cc fa 78 53 bf 8e ff 0b 14 03 03 00 01 01 16 03 |..xS............| -000001c0 03 00 20 e5 81 3e a3 34 29 52 14 19 49 cf 04 82 |.. ..>.4)R..I...| -000001d0 8b e7 83 aa 6c db 96 ec 97 29 b4 a3 db 87 21 2e |....l....)....!.| -000001e0 a5 c0 66 |..f| +00000170 0f 00 00 44 08 07 00 40 ce 6f b0 e8 38 c0 d7 8b |...D...@.o..8...| +00000180 39 38 96 0b a3 f5 41 47 c0 d6 c8 b5 73 74 8a 0d |98....AG....st..| +00000190 c7 6b 88 91 a5 92 19 6f 89 9f 44 66 cc 1a 92 48 |.k.....o..Df...H| +000001a0 9c db f6 a6 18 0e 44 55 9e 85 42 06 e2 44 1b bf |......DU..B..D..| +000001b0 69 07 40 22 db f5 7d 0e 14 03 03 00 01 01 16 03 |i.@"..}.........| +000001c0 03 00 20 e3 d0 bb 35 f7 04 46 a8 2a c4 25 e6 e9 |.. ...5..F.*.%..| +000001d0 ec f8 15 ea 5e bf ff d1 52 a9 6b 11 01 32 f2 6e |....^...R.k..2.n| +000001e0 90 fb 3c |..<| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 84 67 d4 ce cf |.......... .g...| -00000010 fb 54 2c dc f7 53 31 8a aa 03 60 37 3d 33 f2 79 |.T,..S1...`7=3.y| -00000020 d0 65 2e 3f 0e f9 1a d3 6e 6d 8e |.e.?....nm.| +00000000 14 03 03 00 01 01 16 03 03 00 20 cd 25 26 6f 2b |.......... .%&o+| +00000010 80 b1 44 af 3e 8f 78 7f c2 3a 63 5e bc 0d 16 11 |..D.>.x..:c^....| +00000020 8a 61 f9 68 23 0b bf ef b6 f9 a4 |.a.h#......| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 e5 b7 4c 92 05 fc 81 cf 11 ef cd |.......L........| -00000010 0f 4b df ef a1 54 ae 26 4e ec aa 15 03 03 00 12 |.K...T.&N.......| -00000020 0a f3 5b 06 63 84 a6 eb d4 73 94 db fe d8 e0 ae |..[.c....s......| -00000030 d6 fc |..| +00000000 17 03 03 00 16 53 74 aa ff f3 0e c0 f4 03 77 3d |.....St.......w=| +00000010 68 1b 2b 40 de 66 46 13 d5 2a 7a 15 03 03 00 12 |h.+@.fF..*z.....| +00000020 21 3a 39 97 83 f7 d0 ac 73 14 96 fd 43 f7 be e4 |!:9.....s...C...| +00000030 9b 90 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 index 3975b072c95..afe91926b53 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 d4 20 b3 4c 6a |....Y...U... .Lj| -00000010 69 44 3f f7 ab 15 35 85 ca 71 02 b0 70 18 8e d6 |iD?...5..q..p...| -00000020 61 d5 34 08 42 de cf a1 57 32 96 20 8c b4 72 dd |a.4.B...W2. ..r.| -00000030 63 93 e6 13 9d 4a ec 75 d9 a1 a6 9e 5e 02 f5 63 |c....J.u....^..c| -00000040 29 1a 78 9f 94 9f 6c 58 b5 91 ae 63 c0 30 00 00 |).x...lX...c.0..| +00000000 16 03 03 00 59 02 00 00 55 03 03 1b e5 f5 28 2f |....Y...U.....(/| +00000010 86 7a 09 8f f5 e4 07 a2 d2 a5 be aa 0a 28 67 da |.z...........(g.| +00000020 24 7e 97 a3 a7 10 cf 0c 0a ed 40 20 ee a4 80 ac |$~........@ ....| +00000030 72 70 9b ab 90 94 ab a9 16 82 70 4a 12 d0 19 46 |rp........pJ...F| +00000040 0b bb 9c 16 64 42 f9 81 91 31 b0 42 c0 30 00 00 |....dB...1.B.0..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 a2 bd 95 3e 0c 9f ad |........ ...>...| -000002d0 11 59 e0 6a c1 21 0c 6c 86 cc f1 ce bd a0 30 5d |.Y.j.!.l......0]| -000002e0 53 1e 75 f9 55 af 49 7b 31 08 04 00 80 d4 8b 11 |S.u.U.I{1.......| -000002f0 ca 22 14 79 a3 e8 b6 c7 d0 d6 1b 17 42 93 47 30 |.".y........B.G0| -00000300 ab 50 0e c9 0c 92 88 96 b4 63 4e 4e ac 7f dd c8 |.P.......cNN....| -00000310 8f 85 07 5b 95 c5 0a c0 4e 6d 4f 51 ba d8 d7 db |...[....NmOQ....| -00000320 14 70 80 4f 68 d9 b4 39 e7 48 27 21 76 4c 79 a4 |.p.Oh..9.H'!vLy.| -00000330 60 91 d7 2f 75 69 04 1a da 71 ff b8 4d 78 d8 e7 |`../ui...q..Mx..| -00000340 ca f2 f2 1e 71 21 b3 a0 44 a7 6c 99 16 a1 c9 f8 |....q!..D.l.....| -00000350 f0 de e8 99 12 7b 3d a2 e3 15 fa 63 62 e9 1b 72 |.....{=....cb..r| -00000360 c8 bb 27 38 4a 48 66 1d dd fb ef 6f d1 16 03 03 |..'8JHf....o....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 d5 df e3 2e 2b 7b 0c |........ ....+{.| +000002d0 73 b4 a6 ba 66 59 18 53 8a 9d e4 1a c2 fb 37 23 |s...fY.S......7#| +000002e0 8c 39 94 8c 7b b8 1a d1 17 08 04 00 80 9c 14 0f |.9..{...........| +000002f0 05 57 58 ea d6 df 44 7a b7 09 66 6e cb cd d1 a7 |.WX...Dz..fn....| +00000300 9d 5f 06 ee 96 f0 94 2f 38 35 93 c0 d0 26 2a 15 |._...../85...&*.| +00000310 12 2c 72 7b cb 76 ca 86 41 92 95 12 48 af c5 09 |.,r{.v..A...H...| +00000320 19 c5 2b 19 11 3a 52 f8 fd 5f 32 bb fd 50 48 f0 |..+..:R.._2..PH.| +00000330 bc 2f 42 cd a2 65 65 f1 0d bc cd f3 d2 69 ee 2b |./B..ee......i.+| +00000340 c3 63 32 be 43 49 45 95 47 41 61 08 da 22 2f 7c |.c2.CIE.GAa.."/|| +00000350 72 56 2b 65 2c cf b0 83 1f cc ed c2 55 a8 64 61 |rV+e,.......U.da| +00000360 00 ab 0b 28 11 22 1e a4 c8 ca 70 cc 4c 16 03 03 |...(."....p.L...| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -112,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 2e bf 05 22 82 a7 d6 |............"...| -00000240 e9 08 ff 9b 10 d3 4a 6c c4 73 5c 78 88 05 0c 15 |......Jl.s\x....| -00000250 b7 8c 78 49 64 2d 58 67 ef 8f db c0 67 fa 32 6e |..xId-Xg....g.2n| -00000260 65 45 90 a0 69 5c fb ba e0 16 1c d4 81 1d 24 89 |eE..i\........$.| -00000270 35 27 14 15 19 0b 86 ee 6a f2 b4 a5 27 61 5f 1f |5'......j...'a_.| -00000280 cc 47 7c 01 ed a9 ff ed 61 45 3f 53 1c 82 c8 cd |.G|.....aE?S....| -00000290 48 e4 89 82 12 d7 d2 ff fa 32 b3 e6 9d ce 75 75 |H........2....uu| -000002a0 d1 cd b2 a8 56 a6 a6 63 da 8d ed 27 13 01 9a 56 |....V..c...'...V| -000002b0 a2 26 b4 6c af 27 f6 4f 1b 14 03 03 00 01 01 16 |.&.l.'.O........| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 f0 e8 32 33 |...(..........23| -000002d0 50 df 73 17 3c 58 f2 c9 30 2e 5d e9 00 4f 4b 33 |P.s..6.X| +00000230 88 0f 00 00 84 08 04 00 80 28 0a 78 3d d6 88 96 |.........(.x=...| +00000240 2f 5c 74 20 06 57 97 b4 7f 4a c8 e7 6b 11 28 41 |/\t .W...J..k.(A| +00000250 50 e2 03 7b 65 49 d6 e1 b4 b7 d8 50 f9 53 5b fb |P..{eI.....P.S[.| +00000260 3a 10 30 b0 22 f2 8f 8c 0f 20 db b6 de 9d 72 88 |:.0.".... ....r.| +00000270 6f 8a 90 e7 c2 14 14 16 93 8a 8a 45 c0 26 b4 fe |o..........E.&..| +00000280 3e 11 5d 62 ac df 94 3c 7d 45 92 4b 07 fd df 70 |>.]b...<}E.K...p| +00000290 70 45 e7 24 1f 0d 43 3e 2f ea 5a b9 01 16 93 d1 |pE.$..C>/.Z.....| +000002a0 95 bd 59 d6 6e 36 5f e2 77 34 ae 44 57 c4 89 28 |..Y.n6_.w4.DW..(| +000002b0 28 e4 e3 56 4a 83 06 c2 6d 14 03 03 00 01 01 16 |(..VJ...m.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 f8 3f 48 ee |...(.........?H.| +000002d0 da dc 67 23 ae 16 e4 dd 97 eb 61 df 48 23 70 e0 |..g#......a.H#p.| +000002e0 a7 38 76 35 66 b5 36 34 41 3c 06 b1 |.8v5f.64A<..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 14 ce b1 86 0e |..........(.....| -00000010 9f ce 73 25 44 b7 3e a9 25 db a8 93 d9 39 33 75 |..s%D.>.%....93u| -00000020 2f a9 7f 97 6a 76 28 fe e2 84 5f 1e 84 66 b4 c8 |/...jv(..._..f..| -00000030 45 e7 64 |E.d| +00000000 14 03 03 00 01 01 16 03 03 00 28 78 41 46 11 e2 |..........(xAF..| +00000010 8c ce 8a e8 a4 c5 fb 34 36 0e eb ef 44 51 89 e6 |.......46...DQ..| +00000020 f9 10 ed 16 f5 a4 01 c8 10 a6 f5 5c 89 ff d2 c6 |...........\....| +00000030 1b fd 51 |..Q| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 3b 17 73 |.............;.s| -00000010 78 d6 3a b4 6d 3a 61 52 f6 a5 8c dd 18 3e ff 04 |x.:.m:aR.....>..| -00000020 d9 3f 22 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.?".............| -00000030 32 8d 5d 07 14 a9 d2 1c dd 1e 2f 3d 89 a9 8f 1d |2.]......./=....| -00000040 08 0f |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 65 ae 6b |.............e.k| +00000010 69 87 fb 43 d4 ad 47 be fe a9 cd 79 d7 e5 17 94 |i..C..G....y....| +00000020 04 7f 84 15 03 03 00 1a 00 00 00 00 00 00 00 02 |................| +00000030 cd cf f7 c7 36 fc 46 7a 8f 4f 2d bd 23 da fd d8 |....6.Fz.O-.#...| +00000040 b5 8d |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA index 2d608a78245..a3250f72fc0 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 3c ba b1 d8 8d |....Y...U..<....| -00000010 f5 52 f4 a4 70 fc 12 54 20 85 eb 23 bc b8 0b e0 |.R..p..T ..#....| -00000020 80 b6 ab 9b c5 34 84 57 bc ae 95 20 e3 51 8d 40 |.....4.W... .Q.@| -00000030 93 cc 9f e4 fd 77 82 c8 12 54 6a 23 08 db ff e5 |.....w...Tj#....| -00000040 87 8d 72 41 60 51 6a 11 5f 0a 9a d2 c0 09 00 00 |..rA`Qj._.......| +00000000 16 03 03 00 59 02 00 00 55 03 03 db 6b ec 03 09 |....Y...U...k...| +00000010 7b 73 48 57 44 2a 1e 45 cb 32 1a 6f ce f8 cd 40 |{sHWD*.E.2.o...@| +00000020 7c a5 91 5a e1 d3 b3 8f c4 ab ce 20 14 8f 65 1e ||..Z....... ..e.| +00000030 11 16 5c e0 a2 f1 42 c1 6a 41 1a c6 6e 56 c6 1b |..\...B.jA..nV..| +00000040 33 34 fc 2e e5 00 4f 24 0e 7e 25 ad c0 09 00 00 |34....O$.~%.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 86 f3 |*............ ..| -00000280 1e c5 fb 1f 91 44 0e e5 e4 3e 0a cd 75 a2 fb 4c |.....D...>..u..L| -00000290 a2 b9 07 f7 33 ce cc cd 61 a5 8c ba 6a 35 04 03 |....3...a...j5..| -000002a0 00 8b 30 81 88 02 42 01 f4 8d 4f 3e c8 73 b5 b4 |..0...B...O>.s..| -000002b0 b5 2b ac 2a 27 68 56 a1 45 ce b6 1d c6 37 ce de |.+.*'hV.E....7..| -000002c0 bd 96 90 5e e2 1c c8 84 b2 84 57 25 81 d4 c3 7a |...^......W%...z| -000002d0 db b2 3d 24 2b 17 3a 4a 7e 92 1a bb 0c fb b6 05 |..=$+.:J~.......| -000002e0 cd 0e 85 4c 3d 4b 24 2a 2a 02 42 00 f6 91 d6 82 |...L=K$**.B.....| -000002f0 9e 81 98 5f 64 59 ce 16 85 fc 65 19 0c 50 ca ea |..._dY....e..P..| -00000300 8a ba 1e 61 a8 71 cf 2c eb 94 24 ac 34 75 6e 5c |...a.q.,..$.4un\| -00000310 dc 92 ba b8 bd 42 75 ef 6d 67 5f 06 5c e3 6c c2 |.....Bu.mg_.\.l.| -00000320 aa 5e 29 25 66 00 68 c8 5d 9c 6f bb e0 16 03 03 |.^)%f.h.].o.....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 69 b1 |*............ i.| +00000280 4b 8c 96 1e d4 99 2c 4c e7 bd c6 4f 21 82 c9 fe |K.....,L...O!...| +00000290 06 84 90 d9 87 ce 7d 71 85 77 5d 56 31 3e 04 03 |......}q.w]V1>..| +000002a0 00 8b 30 81 88 02 42 01 1c e4 21 c7 08 f3 98 08 |..0...B...!.....| +000002b0 31 30 60 06 4e 9e b3 26 f6 3d 94 15 4e 9e 48 58 |10`.N..&.=..N.HX| +000002c0 dd 7a 2f e2 c8 9b 0c ef 7d 07 a1 73 99 87 f6 04 |.z/.....}..s....| +000002d0 45 5c 70 a7 1f e5 2f 24 13 7c 87 1f c8 60 30 08 |E\p.../$.|...`0.| +000002e0 08 e0 b7 36 6d d3 11 d4 63 02 42 01 bd ea a9 d6 |...6m...c.B.....| +000002f0 56 73 28 5c f0 b9 8c e7 6a 6b e2 9c 2e b4 07 5e |Vs(\....jk.....^| +00000300 0c 84 40 92 a9 0e c9 05 b7 da 11 b6 89 86 85 3c |..@............<| +00000310 b5 de b6 58 26 b9 d6 58 0e 57 44 37 d7 78 3c d4 |...X&..X.WD7.x<.| +00000320 4e 3a 33 59 9b f5 0e f9 12 34 11 76 f2 16 03 03 |N:3Y.....4.v....| 00000330 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000340 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000350 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -108,31 +109,31 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 53 85 ea dc a6 86 2d |.........S.....-| -00000240 e7 8c 0b 68 f9 57 7f f5 77 d8 fe 35 28 91 e7 2f |...h.W..w..5(../| -00000250 8a 2c 36 cf d7 8c 9f 3d f2 e2 99 41 11 b2 3c a2 |.,6....=...A..<.| -00000260 5e f3 68 1f b5 d4 f8 90 8a e2 5e 02 48 00 2b eb |^.h.......^.H.+.| -00000270 f0 e6 8c 28 af 11 80 82 ea 35 06 fd 0a 5f d7 1a |...(.....5..._..| -00000280 e9 63 29 08 8c aa 18 1e 7c 08 81 21 c8 aa 86 b1 |.c).....|..!....| -00000290 cf 94 db f6 8d 15 dc cc ae cf 41 2c 32 b1 3f 0c |..........A,2.?.| -000002a0 96 0e 5c ed 82 74 cc fc 35 f4 38 80 29 00 c1 3a |..\..t..5.8.)..:| -000002b0 70 d4 07 07 9c 49 9e 7b 91 14 03 03 00 01 01 16 |p....I.{........| +00000230 88 0f 00 00 84 08 04 00 80 ae 9e da c9 3e 5a 43 |.............>ZC| +00000240 5f 6e 9d ad bf 15 9a 69 95 19 07 a7 d6 1b 3e b7 |_n.....i......>.| +00000250 00 da eb 70 71 f9 d9 4c e7 f4 14 89 5c b6 61 5d |...pq..L....\.a]| +00000260 6f 2d 72 25 f7 95 8b fe 60 c7 b0 a2 8a 67 e0 eb |o-r%....`....g..| +00000270 2e d3 ca 14 4d 13 01 fa e2 d2 a2 91 5e bb 4d 9a |....M.......^.M.| +00000280 bb 72 e4 5c 1e 04 05 34 8f 1a e6 39 e5 7a 99 1e |.r.\...4...9.z..| +00000290 2d 1a 9c 19 42 f1 11 2d f2 95 ce 26 3b b6 35 4e |-...B..-...&;.5N| +000002a0 ae 6d 82 f3 1a 25 bf 40 b2 19 cd 87 48 21 09 91 |.m...%.@....H!..| +000002b0 b7 cd af 55 09 c7 4c df 21 14 03 03 00 01 01 16 |...U..L.!.......| 000002c0 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 00 |...@............| -000002d0 00 00 00 00 f3 da dc d7 12 d6 f6 19 75 a8 02 68 |............u..h| -000002e0 57 0e e1 90 75 d1 fc b8 32 a3 34 16 d6 8d 2a f5 |W...u...2.4...*.| -000002f0 65 f2 a7 67 2c 2c a4 73 6a b6 f2 ad 2d 7f 8a ce |e..g,,.sj...-...| -00000300 a7 12 16 97 |....| +000002d0 00 00 00 00 b1 8f e1 be 15 2a 62 94 92 92 bf 96 |.........*b.....| +000002e0 33 6e 57 dd 48 b6 72 77 a6 f1 75 77 af ca f2 20 |3nW.H.rw..uw... | +000002f0 14 2f d8 e8 78 15 65 3a cc 78 fb 83 cd d3 32 3a |./..x.e:.x....2:| +00000300 51 5e 72 53 |Q^rS| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 dc 11 a1 a2 fb |..........@.....| -00000010 55 0c 9e e0 e2 55 1a ca cd 5b df 1f 39 9e 08 51 |U....U...[..9..Q| -00000020 bd 6b 72 40 93 f8 23 7a 32 9d 85 18 20 b7 39 b0 |.kr@..#z2... .9.| -00000030 03 d3 10 6a 8e 66 6d e6 d5 38 03 c6 e5 b8 dc d7 |...j.fm..8......| -00000040 3c 27 1d d2 a9 59 f9 18 7d 15 90 |<'...Y..}..| +00000000 14 03 03 00 01 01 16 03 03 00 40 aa f3 6d 85 91 |..........@..m..| +00000010 6a c5 71 92 fb ee 98 3a 89 62 59 2d 05 f3 31 92 |j.q....:.bY-..1.| +00000020 a6 88 e0 8d f3 e7 b2 2e 54 f3 01 43 d3 84 9d 68 |........T..C...h| +00000030 e4 e1 54 85 99 d4 a2 57 0f e1 cf f9 60 c9 07 a7 |..T....W....`...| +00000040 79 0a cd 08 c7 f0 15 34 d6 d4 81 |y......4...| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 c2 92 ee 96 31 60 90 d5 ee a6 1c |.........1`.....| -00000020 ed 3c 03 40 8c e7 0c db 7f b0 11 dc 7e 58 e1 aa |.<.@........~X..| -00000030 4c d7 68 2a 91 15 03 03 00 30 00 00 00 00 00 00 |L.h*.....0......| -00000040 00 00 00 00 00 00 00 00 00 00 b6 61 51 ac 66 a5 |...........aQ.f.| -00000050 d1 ef d3 ee c8 d3 48 72 d5 e0 ef 7d ca 6a ec b2 |......Hr...}.j..| -00000060 77 ff 2d a8 32 6d be 6e a7 42 |w.-.2m.n.B| +00000010 00 00 00 00 00 05 dc 17 e3 97 fe d1 0c 78 92 98 |.............x..| +00000020 08 40 88 26 14 4f 19 4a e2 b8 bb 21 14 32 6c 63 |.@.&.O.J...!.2lc| +00000030 7f 56 37 70 c6 15 03 03 00 30 00 00 00 00 00 00 |.V7p.....0......| +00000040 00 00 00 00 00 00 00 00 00 00 93 33 60 99 a1 4b |...........3`..K| +00000050 64 59 7c 96 b9 2f 76 04 35 41 8c f3 cd f2 eb ae |dY|../v.5A......| +00000060 8e d0 b2 3a 52 34 75 e7 ac a8 |...:R4u...| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA index cdc71041fbb..8cffe77886a 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 f3 28 ca c9 ac |....Y...U...(...| -00000010 29 bb 15 80 56 d2 37 09 fa 7d 23 04 d4 79 e7 1d |)...V.7..}#..y..| -00000020 bb 4e c5 60 c8 44 39 02 6a e9 e0 20 b5 ae 39 87 |.N.`.D9.j.. ..9.| -00000030 4e 24 2f 33 02 fe 72 d6 2a 4d 0c 8c da 36 7b 28 |N$/3..r.*M...6{(| -00000040 3c 06 aa b2 60 68 91 7a ae d8 7b e2 c0 2f 00 00 |<...`h.z..{../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 e7 b6 27 1e c6 |....Y...U....'..| +00000010 ad 2f 54 87 5f 07 f3 79 b8 99 7f 47 9f c9 4e 07 |./T._..y...G..N.| +00000020 b5 ce 4d 2c b2 9b 9f d9 c9 c4 cb 20 12 92 cd 25 |..M,....... ...%| +00000030 7a d8 99 a8 0d 8f 51 70 ec ac d0 d2 cb aa be 1e |z.....Qp........| +00000040 e4 0e 7e 86 94 8b 37 6d 2c e5 18 74 c0 2f 00 00 |..~...7m,..t./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 d4 df 5d 10 ee ba a6 |........ ..]....| -000002d0 51 d7 1b fb bf ed bc d6 b9 34 44 e7 af 23 0e 9b |Q........4D..#..| -000002e0 45 af ba 7a 89 63 03 a9 4c 08 04 00 80 30 2c 0f |E..z.c..L....0,.| -000002f0 2e d9 e4 1d c2 90 01 1c cc cf d4 fe 06 6d c3 aa |.............m..| -00000300 59 d9 d9 bc 16 2f 2c b1 be 90 a3 93 a7 be bc 4d |Y..../,........M| -00000310 d8 f4 ac 21 36 59 a8 21 94 ef d3 c4 53 14 34 18 |...!6Y.!....S.4.| -00000320 c9 10 d5 77 fd 1e ad 15 0f 23 d7 73 90 7a c0 7b |...w.....#.s.z.{| -00000330 b3 b2 e2 df 15 42 35 ce 38 05 52 02 77 b7 b2 2b |.....B5.8.R.w..+| -00000340 6b 88 6a ce d4 20 99 9d e4 fe e8 38 1e 01 b7 78 |k.j.. .....8...x| -00000350 3c ea ac 8e ef 2f 7e e8 22 08 78 42 b7 db 84 80 |<..../~.".xB....| -00000360 8c 61 8a c5 cc d7 1f 6a 8d 5c 1d 2d 0d 16 03 03 |.a.....j.\.-....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 91 cf 1f a5 64 24 c6 |........ ....d$.| +000002d0 c3 40 9a 47 1c db af 10 44 19 e6 8d db 04 a0 59 |.@.G....D......Y| +000002e0 62 52 f2 63 bc 9f 94 5a 7b 08 04 00 80 9d 72 5a |bR.c...Z{.....rZ| +000002f0 b8 80 2f 3a ec f2 7d f5 62 3a 71 f8 2b 04 1e f5 |../:..}.b:q.+...| +00000300 ed 73 c0 ed 6c e6 17 b8 43 f8 95 d3 50 16 a2 1a |.s..l...C...P...| +00000310 31 21 11 02 f5 b4 4a d6 5b be 73 37 a4 13 f5 04 |1!....J.[.s7....| +00000320 6b 09 fe b5 c4 0b 1b d9 80 72 5e 40 ac 02 81 cc |k........r^@....| +00000330 b4 cd 3b 1d 67 43 a5 e3 c5 9c a6 11 a1 e5 f9 7f |..;.gC..........| +00000340 95 7b b0 b9 54 9d 0c 61 9d 24 17 d5 fe bf ec 2a |.{..T..a.$.....*| +00000350 9a e1 8d 69 91 f0 14 e7 f6 cb 8b 99 81 1a f1 a0 |...i............| +00000360 4c d8 3d ce 26 e7 a7 3d 05 67 08 9a 7b 16 03 03 |L.=.&..=.g..{...| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -112,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 b8 96 b3 c8 66 a9 fb |.............f..| -00000240 da 1b 82 65 9d 57 e5 e5 e5 60 c9 43 df 6e 99 53 |...e.W...`.C.n.S| -00000250 45 95 b8 58 d1 19 05 50 e1 a7 3c e8 07 ad 57 09 |E..X...P..<...W.| -00000260 9c 95 13 ea 80 24 53 56 b1 13 2d 59 9d e9 60 0f |.....$SV..-Y..`.| -00000270 75 97 d3 4f 82 3a b5 41 3e 90 75 ea 28 97 00 e7 |u..O.:.A>.u.(...| -00000280 74 c9 04 1d d0 16 ba 40 75 9c ae a0 bd 00 b1 a9 |t......@u.......| -00000290 86 d5 1a f2 30 45 72 99 ea b2 eb 61 b1 63 72 c5 |....0Er....a.cr.| -000002a0 ad b1 60 a8 fa bd 95 95 17 03 4c 8e 87 4b 44 e5 |..`.......L..KD.| -000002b0 ec f3 e0 48 33 b8 a9 74 78 14 03 03 00 01 01 16 |...H3..tx.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 e6 a6 db ee |...(............| -000002d0 7d fb 48 9f 81 a6 78 6a db a1 9a bb c8 da 7b b2 |}.H...xj......{.| -000002e0 6a 01 66 fb 85 a7 2f 35 40 77 b6 b2 |j.f.../5@w..| +00000230 88 0f 00 00 84 08 04 00 80 65 40 33 27 bd b2 59 |.........e@3'..Y| +00000240 d3 a2 33 60 fe fa b4 43 c1 21 e2 3c e4 71 e8 25 |..3`...C.!.<.q.%| +00000250 67 82 c0 47 12 64 99 ee 2e 6c 23 df e6 cd da a4 |g..G.d...l#.....| +00000260 94 cb 3c c3 2e 44 9d 4a 5c 50 1f a9 9b ae 94 d4 |..<..D.J\P......| +00000270 0a 8b 2c 5c 5b 08 79 28 be 87 74 61 ff 31 c0 97 |..,\[.y(..ta.1..| +00000280 f1 31 63 f5 36 f2 a3 25 c2 a2 26 95 51 4b 43 9d |.1c.6..%..&.QKC.| +00000290 3a e5 38 08 f6 71 29 42 3b c1 bb 9a ca c9 5b 0f |:.8..q)B;.....[.| +000002a0 d2 ce 00 d5 e4 ed fd 8a 1e 46 77 f6 99 39 d1 86 |.........Fw..9..| +000002b0 2e 4d cb 2d e6 fb e8 cf 23 14 03 03 00 01 01 16 |.M.-....#.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 30 06 d6 08 |...(........0...| +000002d0 64 2c 49 f6 85 71 d1 8d e5 d0 11 2a c9 10 bc b8 |d,I..q.....*....| +000002e0 81 24 0a a6 c7 5d 6e 83 9a 00 ca 46 |.$...]n....F| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 b3 9c 30 b6 a2 |..........(..0..| -00000010 cb cf 75 38 10 e7 80 39 0e 87 39 9c d9 da 2c 53 |..u8...9..9...,S| -00000020 1a 64 2d 33 ff 21 25 e9 3c f2 ec 6d a4 59 f4 30 |.d-3.!%.<..m.Y.0| -00000030 ea 41 24 |.A$| +00000000 14 03 03 00 01 01 16 03 03 00 28 7c b0 ea 1b 7d |..........(|...}| +00000010 97 b2 48 47 ef 3b 43 5a 6d bf 7e 5b 2d 02 41 ed |..HG.;CZm.~[-.A.| +00000020 75 ff 5f 3d c9 72 49 44 9f ef 08 06 ec 7e c1 99 |u._=.rID.....~..| +00000030 ee b3 2c |..,| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 65 72 8f |.............er.| -00000010 4a 5f 08 c1 f9 37 5d 30 bc c6 e6 5f a8 23 35 69 |J_...7]0..._.#5i| -00000020 d3 3c 7a 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 97 f2 cb de f1 |....Y...U.......| -00000010 bb cf 9a 6c 6d 7e e2 94 af 9d 0b ed 02 cf fc b2 |...lm~..........| -00000020 80 b2 7b 41 2c a6 83 e7 52 62 93 20 63 23 7f 48 |..{A,...Rb. c#.H| -00000030 be c1 7f d3 75 34 fe 3a ad 27 f5 99 b0 73 91 df |....u4.:.'...s..| -00000040 b3 e9 82 95 cd 1b f9 08 b6 3d 4f 9b c0 2f 00 00 |.........=O../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 53 b4 47 4e ce |....Y...U..S.GN.| +00000010 bc 07 7e 94 8d 00 78 21 6d 47 01 10 91 22 e2 26 |..~...x!mG...".&| +00000020 4b 40 4a 01 86 e7 14 89 b2 3e a9 20 29 48 80 06 |K@J......>. )H..| +00000030 fc be f6 4f db e4 1a a3 a5 38 0f c7 0b c8 99 11 |...O.....8......| +00000040 e3 93 a6 08 3a 81 6c fc df 32 b8 db c0 2f 00 00 |....:.l..2.../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 f8 3a 6c 5b 6f 88 48 |........ .:l[o.H| -000002d0 19 c5 a2 e7 4a d9 6d 21 56 23 63 1b 1f 95 aa bc |....J.m!V#c.....| -000002e0 33 ac aa 3b bb f8 35 ba 1a 04 01 00 80 98 6d 7b |3..;..5.......m{| -000002f0 7d 40 13 81 6b 70 ec ac 60 ee 1d 3e 37 36 bc f4 |}@..kp..`..>76..| -00000300 c1 9f 3c 13 b7 06 3d 38 be 4f 8c 3e e2 2e f2 b5 |..<...=8.O.>....| -00000310 de 16 ec a0 5b 64 00 5c c3 50 cc 79 a2 f7 e0 8d |....[d.\.P.y....| -00000320 68 e6 6b 1b b8 57 a4 15 d0 2c d7 4a be 97 26 26 |h.k..W...,.J..&&| -00000330 8c 5c 4e 26 36 96 48 b5 0f 88 7b 37 43 e4 d1 24 |.\N&6.H...{7C..$| -00000340 01 3c 70 38 99 c6 e2 2f 66 e7 db 57 30 f2 72 d0 |....| +00000310 37 43 f4 8c 8b 0a 76 54 7d 26 b5 0d 74 b0 b0 50 |7C....vT}&..t..P| +00000320 d4 bf 03 c0 b9 ea 8c 6e cc 7d 3b 8f db e2 d9 4c |.......n.};....L| +00000330 6a 61 17 1c 41 70 5a 18 33 a4 b1 e3 dc 0d 5e da |ja..ApZ.3.....^.| +00000340 97 78 ed 5a d2 c8 38 36 b1 79 ea ff 0f 82 5f a1 |.x.Z..86.y...._.| +00000350 45 cd 92 e1 d8 0e 1f 3d 69 69 52 3a 61 49 62 78 |E......=iiR:aIbx| +00000360 dd b5 7e 3f de 7d a8 2b 63 e3 67 13 4a 16 03 03 |..~?.}.+c.g.J...| 00000370 00 0c 0d 00 00 08 01 01 00 02 04 01 00 00 16 03 |................| 00000380 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) @@ -109,26 +110,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 04 01 00 80 a8 12 9d 84 c2 17 0a |................| -00000240 03 ae bd 87 9a b6 6f 65 2f 7a 04 1f 69 2a 41 f4 |......oe/z..i*A.| -00000250 d0 9a 4d a4 5b 6e d2 d3 42 c3 77 4f 04 28 ce e6 |..M.[n..B.wO.(..| -00000260 d4 25 c5 81 1b 78 91 e9 1e 93 90 57 b2 58 6f 26 |.%...x.....W.Xo&| -00000270 ed 20 15 62 ff e9 c6 c1 52 4a 9a 05 a6 cd 17 22 |. .b....RJ....."| -00000280 75 c8 81 da a4 96 af c6 83 b5 5c 81 93 59 44 26 |u.........\..YD&| -00000290 5b 03 59 9d ab 93 ee c7 37 61 74 e7 4a 22 1c ec |[.Y.....7at.J"..| -000002a0 96 fb a2 c9 ea 2d 4b 8d d3 a7 e4 60 57 10 be b7 |.....-K....`W...| -000002b0 60 80 4f ee 8e 21 6b a2 13 14 03 03 00 01 01 16 |`.O..!k.........| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 16 82 4a c0 |...(..........J.| -000002d0 98 7b 62 3e 9b da a9 ac 31 f2 32 a9 23 13 2f e3 |.{b>....1.2.#./.| -000002e0 77 c9 1e ca 39 9f 4c 8a 10 58 33 67 |w...9.L..X3g| +00000230 88 0f 00 00 84 04 01 00 80 ab c7 c4 44 5b e4 90 |............D[..| +00000240 47 73 c5 5b a4 30 c5 29 0c 8a 22 b4 16 1b 00 08 |Gs.[.0.)..".....| +00000250 f4 ba f9 6c b2 ce 5c f3 21 01 29 b9 91 37 05 3a |...l..\.!.)..7.:| +00000260 e7 7a 1e 95 81 d4 00 b9 50 56 04 1b 22 ad f8 6e |.z......PV.."..n| +00000270 5b c0 ff be 5c 23 4c 62 0a 96 65 2d db 4b 63 4d |[...\#Lb..e-.KcM| +00000280 58 eb 1d f1 36 d0 a8 c0 31 3b 8a 6d 96 1e 42 00 |X...6...1;.m..B.| +00000290 ca d5 6e 3f d8 e4 a5 e7 17 2b 3b 6f 4d 3f d9 a8 |..n?.....+;oM?..| +000002a0 62 0f 60 99 b8 87 83 c5 db a5 0e 1b 51 b1 49 2e |b.`.........Q.I.| +000002b0 26 ad 6c 2b b0 44 60 83 1c 14 03 03 00 01 01 16 |&.l+.D`.........| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 44 dc ce 42 |...(........D..B| +000002d0 82 35 c2 34 38 1b ce a7 5c bf 0b 59 34 c8 e4 9c |.5.48...\..Y4...| +000002e0 6f da 4f 3a 90 17 eb fa 74 8f 25 6a |o.O:....t.%j| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 8e 56 d0 9c 38 |..........(.V..8| -00000010 4f d9 df 12 9b dd 96 05 94 77 2f 6d 24 a8 cb 56 |O........w/m$..V| -00000020 91 f9 bc ec 00 b5 cc 71 c4 f4 36 42 be 68 37 78 |.......q..6B.h7x| -00000030 8f 6e 8c |.n.| +00000000 14 03 03 00 01 01 16 03 03 00 28 b3 78 39 76 82 |..........(.x9v.| +00000010 88 69 4c 74 d2 80 37 98 f5 90 9f 6d 1a 96 71 1a |.iLt..7....m..q.| +00000020 89 2e f8 24 7b 85 df dd 1a d0 46 b6 e5 15 23 a3 |...${.....F...#.| +00000030 a5 39 74 |.9t| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 1c 19 9e |................| -00000010 a5 40 f6 d7 8b 80 23 8a 0b fa 14 65 08 6a 3c 66 |.@....#....e.j| +00000040 ed a5 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS index 3f740807f6a..0f5fd332c08 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 29 bc e2 fe ae |....Y...U..)....| -00000010 0a db 37 e6 39 d5 48 24 3d 0f e5 d7 6b a3 69 dd |..7.9.H$=...k.i.| -00000020 ce 09 fd 28 03 c2 7e 38 db c9 ec 20 d2 5e 3f 94 |...(..~8... .^?.| -00000030 b0 2c 5e 4c 77 c2 94 c3 f2 a9 d0 91 4f 96 45 0e |.,^Lw.......O.E.| -00000040 d3 34 fc 9f e0 a5 e6 fc 1e 8a c1 00 c0 2f 00 00 |.4.........../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 33 12 ae a5 1f |....Y...U..3....| +00000010 04 99 f6 cb 87 9e 7a 73 d1 d6 df 5e 15 83 79 67 |......zs...^..yg| +00000020 98 80 e8 b1 83 69 8b f6 2c 03 ef 20 2d 2a 4f 1b |.....i..,.. -*O.| +00000030 af cd 85 24 a2 d7 c4 4b f8 b7 ba 85 8a c7 8d 44 |...$...K.......D| +00000040 28 14 f8 d8 8e 14 bd 70 98 db 09 8d c0 2f 00 00 |(......p...../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 66 0b 00 02 62 00 02 5f 00 02 5c 30 82 02 |..f...b.._..\0..| 00000070 58 30 82 01 8d a0 03 02 01 02 02 11 00 f2 99 26 |X0.............&| @@ -61,17 +62,17 @@ 000002a0 11 89 66 79 d1 8e 88 0e 0b a0 9e 30 2a c0 67 ef |..fy.......0*.g.| 000002b0 ca 46 02 88 e9 53 81 22 69 22 97 ad 80 93 d4 f7 |.F...S."i"......| 000002c0 dd 70 14 24 d7 70 0a 46 a1 16 03 03 00 ac 0c 00 |.p.$.p.F........| -000002d0 00 a8 03 00 1d 20 9e e4 39 3a b3 d5 f9 51 16 d4 |..... ..9:...Q..| -000002e0 a8 e1 0a 6d ad 3c ca 01 97 d6 a1 ce 03 2a 67 4a |...m.<.......*gJ| -000002f0 49 06 eb ed c6 24 08 04 00 80 b3 b7 9e fd 97 9b |I....$..........| -00000300 b0 d6 35 89 21 53 ff a8 4b 59 59 26 37 ac 2f 36 |..5.!S..KYY&7./6| -00000310 27 3d 5a 04 3f 50 ed 36 e0 5f 1a d7 1b 36 47 94 |'=Z.?P.6._...6G.| -00000320 45 ec 8c 0b 8f 0f fc df ec 3c 56 f0 d0 28 45 94 |E.........iQ......i....| +00000300 0f e5 92 39 56 87 a4 f4 dc ed 58 19 1c c1 f1 2b |...9V.....X....+| +00000310 15 a0 6c 40 a0 c2 b7 10 14 78 e6 71 a5 52 03 b0 |..l@.....x.q.R..| +00000320 79 f5 71 80 fd c2 67 d2 43 5d fc 54 ff f4 e7 eb |y.q...g.C].T....| +00000330 5a 44 77 bd 75 08 14 d4 12 7b b5 34 e7 06 c2 aa |ZDw.u....{.4....| +00000340 5f 03 e4 87 dd 36 43 e4 70 c5 77 fb 12 d5 28 a4 |_....6C.p.w...(.| +00000350 af 94 ed 52 8b 34 d0 7b 7a dc 3f 26 01 ba 6a aa |...R.4.{z.?&..j.| +00000360 2d bc f4 b0 bc 60 95 69 71 8a 18 57 c6 8d 50 bc |-....`.iq..W..P.| +00000370 9d 0c d1 a1 6d b4 ce e7 59 24 16 03 03 00 0c 0d |....m...Y$......| 00000380 00 00 08 01 01 00 02 08 04 00 00 16 03 03 00 04 |................| 00000390 0e 00 00 00 |....| >>> Flow 3 (client to server) @@ -117,26 +118,26 @@ 00000270 10 00 00 21 20 2f e5 7d a3 47 cd 62 43 15 28 da |...! /.}.G.bC.(.| 00000280 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| 00000290 5f 58 cb 3b 74 16 03 03 00 88 0f 00 00 84 08 04 |_X.;t...........| -000002a0 00 80 a6 6b 99 15 5e 97 33 4f a8 0e 59 af 15 22 |...k..^.3O..Y.."| -000002b0 f3 6e be 02 6e e4 20 d5 81 c0 b4 74 5a e2 20 32 |.n..n. ....tZ. 2| -000002c0 2b 7f 9c e6 94 32 4d 30 bf 93 86 9b 75 4d f1 9f |+....2M0....uM..| -000002d0 e4 48 28 00 27 fa 7c 45 2e fe d7 0b dc 03 c4 6b |.H(.'.|E.......k| -000002e0 42 ad a2 32 d7 9d ea d6 52 05 3f ed 87 fd b9 9d |B..2....R.?.....| -000002f0 58 fd d6 9f 28 6d 45 07 de 5b 4a 8e f4 4d 19 0b |X...(mE..[J..M..| -00000300 cf 4e 64 75 73 ae cd e9 ae f9 af 27 d0 b9 eb 4c |.Ndus......'...L| -00000310 98 ad 66 6d 4e bf 2c 39 87 f3 72 3e 4e bc a1 8f |..fmN.,9..r>N...| -00000320 a8 1e 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| -00000330 00 00 00 00 00 04 3c cc ae cd 19 52 6b 1e 0e cc |......<....Rk...| -00000340 dd a9 ac 2f 2a c6 94 4c 09 f3 ee 2f b5 5a 13 1e |.../*..L.../.Z..| -00000350 4f 54 a0 ae c2 |OT...| +000002a0 00 80 46 3f ff 69 a3 c2 5f 48 96 c6 f4 4e a8 9b |..F?.i.._H...N..| +000002b0 ec a2 31 f8 98 a6 c8 ee 0a d3 2c 4c db ca 14 ca |..1.......,L....| +000002c0 d7 c1 de de f8 c0 21 b0 97 cd 46 9b d5 aa 4f 3e |......!...F...O>| +000002d0 fc f0 2f 85 94 10 0f 59 48 a8 5a ba 52 5f 98 50 |../....YH.Z.R_.P| +000002e0 d9 a0 60 1d b1 74 ca d3 6c 9d 1b c5 ac c9 f6 bf |..`..t..l.......| +000002f0 5c 88 ae 44 c7 ef 0b 22 86 42 68 cc a9 47 47 16 |\..D...".Bh..GG.| +00000300 72 7e 54 b4 7b 2c e1 76 57 b7 66 60 cc de 01 32 |r~T.{,.vW.f`...2| +00000310 97 20 6a a8 7a 8f 80 3d 37 d8 85 a8 85 a8 36 db |. j.z..=7.....6.| +00000320 ef 95 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| +00000330 00 00 00 00 00 65 d6 5b 5b 85 b8 f7 81 6f b0 3c |.....e.[[....o.<| +00000340 1c 37 50 d9 e8 f0 b9 54 a9 3c d0 01 68 ef cd 48 |.7P....T.<..h..H| +00000350 57 9c 92 39 2c |W..9,| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 6d 44 cb 35 8b |..........(mD.5.| -00000010 15 5c f9 f8 1e ae 4f 8c 8c d9 90 9e 6c cf 13 f6 |.\....O.....l...| -00000020 12 29 f5 f7 d6 ff da e2 48 7d 68 ec ad 1a 6c 39 |.)......H}h...l9| -00000030 c5 77 6c |.wl| +00000000 14 03 03 00 01 01 16 03 03 00 28 29 14 f2 7a 8e |..........()..z.| +00000010 ce 3f fe 2b 77 41 eb 54 66 bf ec a2 96 e3 8e 0d |.?.+wA.Tf.......| +00000020 6c 80 63 e6 32 71 8a e0 b0 79 f8 6b 61 e4 a0 71 |l.c.2q...y.ka..q| +00000030 da 27 6e |.'n| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 2a ce da |.............*..| -00000010 11 1c 7d 49 0d aa 44 d4 d6 d4 7f 64 2b 49 47 20 |..}I..D....d+IG | -00000020 5a 21 bb 15 03 03 00 1a 00 00 00 00 00 00 00 02 |Z!..............| -00000030 fc 10 75 a7 22 f9 74 1c 3a d2 b2 a8 04 2d 37 5f |..u.".t.:....-7_| -00000040 c2 76 |.v| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 db 73 2a |..............s*| +00000010 32 fd 93 de 72 dc bb cb e0 7b 50 9f 26 60 ac 1e |2...r....{P.&`..| +00000020 ed 56 1f 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.V..............| +00000030 b1 51 75 36 c8 7a 58 8b 7e 66 1b 7f a7 80 2a 98 |.Qu6.zX.~f....*.| +00000040 71 4f |qO| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES index 95781c6853b..526ed98f215 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 eb a2 77 eb b6 |....Y...U....w..| -00000010 1e e4 5c 2c ed 5a dc 93 1b 7e 8a 75 a1 8c ac a6 |..\,.Z...~.u....| -00000020 69 13 f6 f6 a4 69 07 93 99 cf 12 20 37 d7 f8 26 |i....i..... 7..&| -00000030 46 ea 3a 21 03 d0 25 0f 22 84 8d 24 2f 98 3d 42 |F.:!..%."..$/.=B| -00000040 eb 47 1d de 0c 12 ab 95 7a 55 46 f7 c0 09 00 00 |.G......zUF.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 ea 5a 27 1c 34 |....Y...U...Z'.4| +00000010 93 7c 96 d2 ad 6f bf 4a e4 0f 5d 18 6c 51 f0 61 |.|...o.J..].lQ.a| +00000020 3a 49 f8 c0 e1 a6 ff e8 4a 32 85 20 27 08 a5 da |:I......J2. '...| +00000030 52 7e fe f7 e8 61 d5 96 8a 7d bc d7 0f 67 fd b5 |R~...a...}...g..| +00000040 92 b6 12 d5 d3 0d e2 2a 13 19 fb 43 c0 09 00 00 |.......*...C....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 90 68 |*............ .h| -00000280 81 8b 1d 7f d5 69 36 d3 4e 63 40 fa 3a 21 ee a4 |.....i6.Nc@.:!..| -00000290 c7 b4 09 bc 34 51 89 df d5 d2 79 51 34 32 04 03 |....4Q....yQ42..| -000002a0 00 8b 30 81 88 02 42 01 b4 69 6b 1c e6 35 99 81 |..0...B..ik..5..| -000002b0 fb aa cb b4 2d e9 e0 48 6a 6c 5e 14 54 77 b7 9d |....-..Hjl^.Tw..| -000002c0 df a3 c2 1b 53 8c d2 46 6d 2e ae 83 3a db 7c 86 |....S..Fm...:.|.| -000002d0 4a 45 c7 51 cd 30 d6 8c f5 4f ea 37 cb 1e 27 18 |JE.Q.0...O.7..'.| -000002e0 ba df d5 5f 11 ae 0e af 75 02 42 01 2b 37 2e 6d |..._....u.B.+7.m| -000002f0 7c 11 57 b7 b7 8b 90 73 cd e0 c9 38 3c ee aa d5 ||.W....s...8<...| -00000300 f2 cd ff b9 66 6a be 62 70 74 ee a4 f4 e3 fb 4f |....fj.bpt.....O| -00000310 ed 2e d5 a7 b5 a4 53 c8 1b 17 9e e9 48 e1 dd a6 |......S.....H...| -00000320 e8 6a 05 cf 73 b2 85 11 13 37 be e0 26 16 03 03 |.j..s....7..&...| -00000330 00 04 0e 00 00 00 |......| +00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 e4 f1 |*............ ..| +00000280 3a 07 21 10 d0 c8 c5 d2 d9 6b 48 20 ad 46 5d 95 |:.!......kH .F].| +00000290 5c 12 f4 65 b1 7d f9 e2 b3 70 21 9c 75 13 04 03 |\..e.}...p!.u...| +000002a0 00 89 30 81 86 02 41 68 48 61 e2 8c fd 73 03 52 |..0...AhHa...s.R| +000002b0 28 57 97 ef eb 77 96 f9 9b 78 93 e2 69 b6 89 79 |(W...w...x..i..y| +000002c0 f6 d1 6e 0d ff 45 70 21 7c 6a 87 5c 01 5b 7f 54 |..n..Ep!|j.\.[.T| +000002d0 cd 77 bf 50 64 d7 4e 36 c5 4b 71 c5 e5 ee 76 62 |.w.Pd.N6.Kq...vb| +000002e0 4b 7f e7 4e 43 22 5d a1 02 41 7f 37 6f b5 fe 6f |K..NC"]..A.7o..o| +000002f0 f0 1b 31 72 28 96 df bb 86 d9 ae 18 c2 c9 62 f5 |..1r(.........b.| +00000300 4d f9 c8 37 cb e6 6d 34 b9 b2 06 fc 12 e2 d3 58 |M..7..m4.......X| +00000310 eb c1 47 0d 1b 44 44 5c 3d 12 e7 f4 3f 3b 2c a3 |..G..DD\=...?;,.| +00000320 a6 2d 41 dc bc 93 bb 21 4d fd 07 16 03 03 00 04 |.-A....!M.......| +00000330 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 7f 83 b7 cd 14 66 fb c3 2a f9 9f |..........f..*..| -00000050 79 ec 40 e5 dd 15 46 f3 25 8d dd b2 8e d5 78 97 |y.@...F.%.....x.| -00000060 e5 d6 4e 1a 2e 35 21 b2 aa ac 28 6f 2c 36 a6 6e |..N..5!...(o,6.n| -00000070 44 92 84 1b b9 |D....| +00000040 00 00 00 00 00 c5 8f eb cd 42 34 c5 8d 5d 9e 2a |.........B4..].*| +00000050 3a 1e 4c 28 68 c3 e6 f7 38 7c a5 fd d3 c1 98 b6 |:.L(h...8|......| +00000060 39 52 0d 54 8a 7b 2b 35 e2 fb 4d 95 71 27 09 1a |9R.T.{+5..M.q'..| +00000070 85 49 b4 e5 39 |.I..9| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 db ee f8 c1 0e |..........@.....| -00000010 7f 23 b4 cb e6 db 03 2a fb 68 40 78 85 03 9e dc |.#.....*.h@x....| -00000020 ac f8 f0 b5 65 8d 7c 01 4a ce 86 29 a9 c5 c3 b2 |....e.|.J..)....| -00000030 12 8d d1 58 af e7 21 75 e4 be f3 c0 03 55 f8 bb |...X..!u.....U..| -00000040 71 bd 85 ee 46 87 a0 32 75 ee 4c |q...F..2u.L| +00000000 14 03 03 00 01 01 16 03 03 00 40 40 d3 3f ed 29 |..........@@.?.)| +00000010 e1 86 49 59 0c 3d fe 57 3c d5 b3 b4 38 a1 1d b5 |..IY.=.W<...8...| +00000020 db c1 20 0e 0a 8a 67 94 35 aa 30 e2 34 18 5d 6e |.. ...g.5.0.4.]n| +00000030 37 38 14 d6 1f b9 91 2a 57 8f f1 2c 0b fa 30 f0 |78.....*W..,..0.| +00000040 ff 7a 24 a0 1c 8a 6a ea bc b1 5a |.z$...j...Z| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 48 95 f8 a1 0e a7 d0 50 dd cf 8f |.....H......P...| -00000020 c4 af ec 49 89 bf 5d 8b a0 d0 60 7b 38 5a 83 e4 |...I..]...`{8Z..| -00000030 72 47 7f 81 bd 15 03 03 00 30 00 00 00 00 00 00 |rG.......0......| -00000040 00 00 00 00 00 00 00 00 00 00 48 06 f1 30 61 dd |..........H..0a.| -00000050 e2 97 aa 9c 5f a7 07 bb 44 a4 fb d6 6a 7c aa f5 |...._...D...j|..| -00000060 16 ae 38 1a 98 e5 f5 28 c2 57 |..8....(.W| +00000010 00 00 00 00 00 93 03 e9 e8 7f 0b 31 ac 1d e2 fd |...........1....| +00000020 14 a4 37 c6 b1 17 e5 a1 29 82 3f 38 c2 9c 9d df |..7.....).?8....| +00000030 a7 63 16 0d 34 15 03 03 00 30 00 00 00 00 00 00 |.c..4....0......| +00000040 00 00 00 00 00 00 00 00 00 00 64 4e 5d b0 41 4b |..........dN].AK| +00000050 4b f1 04 54 61 5b 94 2e 4c 71 fc c3 f1 b9 99 63 |K..Ta[..Lq.....c| +00000060 26 4a fa dd 0b 98 89 f1 50 83 |&J......P.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM index 7214747d15e..85daa8ba8f6 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 c9 a1 8b 70 59 |....Y...U.....pY| -00000010 8b 88 41 56 b7 bc 9a 1f 50 57 46 7d 79 d8 ef b2 |..AV....PWF}y...| -00000020 15 3f ad ad bb 48 09 ce e1 c2 2c 20 84 43 65 e7 |.?...H...., .Ce.| -00000030 3f 2f d8 13 9a 79 ac 54 ee b9 13 a1 7c a7 05 f7 |?/...y.T....|...| -00000040 c8 b4 fc bd 20 40 17 ca 15 cd 91 1e c0 2b 00 00 |.... @.......+..| +00000000 16 03 03 00 59 02 00 00 55 03 03 59 b5 2a 40 4b |....Y...U..Y.*@K| +00000010 05 9d a2 04 2b 11 a4 48 16 dd 87 1f d7 b0 a3 05 |....+..H........| +00000020 66 7f 88 19 e8 d8 a8 01 92 d9 30 20 f5 f9 0e e5 |f.........0 ....| +00000030 1f 3f e4 77 54 ad 41 b8 95 d7 fb 9d 07 34 b6 20 |.?.wT.A......4. | +00000040 26 15 2f 3a 08 ce 59 65 6b bc b7 06 c0 2b 00 00 |&./:..Yek....+..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 58 f9 |*............ X.| -00000280 2e 03 90 fa 3d 33 0d 3e e1 3a b1 5a 45 ec 5c ee |....=3.>.:.ZE.\.| -00000290 9f 47 51 4b 93 89 33 11 e0 63 86 fd b2 3b 04 03 |.GQK..3..c...;..| -000002a0 00 8b 30 81 88 02 42 01 c2 fa 7b f8 ed 6b a5 0f |..0...B...{..k..| -000002b0 33 87 02 35 5b 8e 5d 31 5e 92 df c2 90 ae 58 24 |3..5[.]1^.....X$| -000002c0 43 0f ba e3 b8 77 12 7a 97 c3 77 15 62 d3 f2 cc |C....w.z..w.b...| -000002d0 10 cd a9 be b6 b2 37 93 b1 ce 8b b2 6c fa 93 74 |......7.....l..t| -000002e0 5e 14 8e ba 9e d7 66 48 b8 02 42 01 8e 9a 10 1d |^.....fH..B.....| -000002f0 7d e0 d3 cf 0d d0 3c bc 34 1c 16 20 85 50 03 3f |}.....<.4.. .P.?| -00000300 e1 6d a3 a0 d4 6e d8 fd 7e df b4 c1 84 29 c3 68 |.m...n..~....).h| -00000310 c2 01 dd 77 fc 2c a5 8f 3b 74 c6 e4 32 20 b7 a0 |...w.,..;t..2 ..| -00000320 8c 1b 2d 93 6a 9c 8a ed 21 b5 9a e0 cb 16 03 03 |..-.j...!.......| -00000330 00 04 0e 00 00 00 |......| +00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 31 fb |*............ 1.| +00000280 fa d2 fe f3 3a 7a d0 13 2a a0 75 41 a1 a7 1f 50 |....:z..*.uA...P| +00000290 08 ca 52 7f 6c f9 5f 9d 89 8b 28 7f 61 42 04 03 |..R.l._...(.aB..| +000002a0 00 89 30 81 86 02 42 00 eb 1c 75 f1 23 b6 78 e7 |..0...B...u.#.x.| +000002b0 6d 80 33 77 4a d0 e0 8b 4b 89 2d c9 49 a4 5c 3d |m.3wJ...K.-.I.\=| +000002c0 5e 9c 29 f5 e1 be 79 bc b2 4d 04 82 66 bd c9 df |^.)...y..M..f...| +000002d0 f9 c0 a4 1c e2 1b a8 8f fc 1f d2 1c 62 9e 9f 42 |............b..B| +000002e0 55 db e5 2a 52 34 29 ff 52 02 40 0a 3e 6d 65 b9 |U..*R4).R.@.>me.| +000002f0 ba d4 96 83 68 b8 0e 64 b4 e9 bd 6c 09 46 e9 e4 |....h..d...l.F..| +00000300 3e 58 ba 4b fd a0 82 71 fa e2 cc b2 ce f4 03 b4 |>X.K...q........| +00000310 3a 56 d4 2a 86 87 0e 15 40 5c f5 41 fb 93 c5 38 |:V.*....@\.A...8| +00000320 f0 fd 5d d1 fb 24 85 15 76 43 1e 16 03 03 00 04 |..]..$..vC......| +00000330 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 c2 14 2d |....(..........-| -00000040 fc d7 a2 cb 18 b9 2a ae 38 70 b7 78 7c 88 97 d3 |......*.8p.x|...| -00000050 ff 7f df 12 23 96 ab 4d 6c 5c 67 72 c4 |....#..Ml\gr.| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 f3 fd 54 |....(..........T| +00000040 4c 31 20 ed bd 4c 47 d6 8c ad 29 06 6f 17 3e a8 |L1 ..LG...).o.>.| +00000050 0b d1 a5 7e c6 85 e6 bf a5 f0 0d ef bf |...~.........| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 2a dd b3 5b c6 |..........(*..[.| -00000010 76 e7 c0 ac 8c 70 77 d6 d8 4e 79 4a 04 3d 91 a9 |v....pw..NyJ.=..| -00000020 ad 79 ef c9 22 78 17 9e ef b0 03 c8 e6 85 b7 8c |.y.."x..........| -00000030 e5 74 95 |.t.| +00000000 14 03 03 00 01 01 16 03 03 00 28 39 ba 1f a4 8d |..........(9....| +00000010 63 a3 c8 85 bd dd 33 55 1c a8 7c 2a 6a d0 ac 8a |c.....3U..|*j...| +00000020 37 bd 38 fb 43 39 48 47 0e c4 c3 b7 50 27 26 88 |7.8.C9HG....P'&.| +00000030 d7 f8 de |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 84 b5 0f |................| -00000010 1f ed f9 4c 0d a1 f3 7b 8e 23 87 65 b1 39 98 50 |...L...{.#.e.9.P| -00000020 3d ff 1b 15 03 03 00 1a 00 00 00 00 00 00 00 02 |=...............| -00000030 aa 34 cc f1 4a d3 de 4c 42 bc 2c 0f 3e 71 af 6b |.4..J..LB.,.>q.k| -00000040 3c fc |<.| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 36 ba 3c |.............6.<| +00000010 7d 01 dc 91 09 93 70 a0 8f 59 35 f1 aa ac 6e 97 |}.....p..Y5...n.| +00000020 5f 76 5f 15 03 03 00 1a 00 00 00 00 00 00 00 02 |_v_.............| +00000030 fc 38 19 6c 5c 56 ba 0a 2b d0 59 80 0c fb aa 7f |.8.l\V..+.Y.....| +00000040 1e 68 |.h| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 index 96f6218a35d..34b088ff06c 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 87 87 6f ce 44 |....Y...U....o.D| -00000010 94 5f 2f cc 94 03 50 68 a7 4f 37 70 8a d4 cf e3 |._/...Ph.O7p....| -00000020 23 7f 11 f5 93 c7 3f 96 87 49 45 20 9c d4 96 b2 |#.....?..IE ....| -00000030 dc 8c 16 c5 fb cc 2f 8e 0e a5 ef a3 ea cf 57 d0 |....../.......W.| -00000040 09 70 bd 16 c4 d9 e4 1b a0 40 f7 f3 c0 23 00 00 |.p.......@...#..| +00000000 16 03 03 00 59 02 00 00 55 03 03 07 a4 6b db b9 |....Y...U....k..| +00000010 ef 53 60 df 1e b5 4b 93 2f 58 d7 7c 0a b0 53 a7 |.S`...K./X.|..S.| +00000020 60 f9 d8 f4 4d d2 14 1c 78 0f 9b 20 80 6c c1 35 |`...M...x.. .l.5| +00000030 d2 db 0a 37 c7 85 d6 dc 27 17 f3 6e 3b 7d 2c f0 |...7....'..n;},.| +00000040 77 67 58 ab f5 83 d9 41 4b 51 e2 1e c0 23 00 00 |wgX....AKQ...#..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,43 +56,43 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 3f a6 |*............ ?.| -00000280 d1 0d ae 8d c0 06 14 ca da 2c 69 1c f1 84 c4 dd |.........,i.....| -00000290 14 f4 0e a6 ce b5 d6 37 9d 9f a5 ba 7b 74 04 03 |.......7....{t..| -000002a0 00 8a 30 81 87 02 42 00 b5 2b 9a 32 9d af b9 cc |..0...B..+.2....| -000002b0 0d b6 f1 9b 87 35 af d7 dc 04 0f 1b 04 d7 fa 62 |.....5.........b| -000002c0 20 bd 2c 31 41 17 e7 c0 ea 22 78 e4 de 37 14 a8 | .,1A...."x..7..| -000002d0 f9 f3 f1 3e 0c 55 59 b3 e3 0e 31 26 ce d0 c1 19 |...>.UY...1&....| -000002e0 b8 17 07 2a 23 98 7b 17 0f 02 41 41 d5 51 80 4d |...*#.{...AA.Q.M| -000002f0 8a 14 56 b1 39 7b 8b 37 24 ef e0 ec 43 44 5a cc |..V.9{.7$...CDZ.| -00000300 9b ab dc 63 e7 cc 7b 29 c0 66 ae 9c 23 c5 1b 98 |...c..{).f..#...| -00000310 6e 35 64 97 12 43 16 73 a6 6b c8 09 2c 26 7c f5 |n5d..C.s.k..,&|.| -00000320 b1 1f 9f 55 04 9e 53 33 c1 89 7a d0 16 03 03 00 |...U..S3..z.....| -00000330 04 0e 00 00 00 |.....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 d7 55 |*............ .U| +00000280 0f 75 a2 99 d1 c1 71 48 79 ef 61 58 46 21 f0 b1 |.u....qHy.aXF!..| +00000290 a7 b5 82 af 8a e8 f2 42 82 4d c8 21 5e 7d 04 03 |.......B.M.!^}..| +000002a0 00 8b 30 81 88 02 42 00 d6 4b 1c 98 1e 68 ff 63 |..0...B..K...h.c| +000002b0 ae 00 02 55 40 49 b3 95 c6 c3 a0 ff d3 e7 47 e0 |...U@I........G.| +000002c0 6e f8 e2 5c fe 22 73 61 ee 35 d9 58 7a 2a 90 1b |n..\."sa.5.Xz*..| +000002d0 74 1b c9 bc 9b ef b3 a3 5c d9 0e 31 9a 68 62 17 |t.......\..1.hb.| +000002e0 a6 26 1d f1 ed d0 e9 78 8f 02 42 01 e7 bc b2 e1 |.&.....x..B.....| +000002f0 62 51 35 3b ca 13 fa ef 1d 97 c9 12 68 a0 3b bf |bQ5;........h.;.| +00000300 eb 21 bf e9 90 bb b5 20 d1 9e d1 ca b6 3c 51 4b |.!..... .....>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 d3 72 3f 9d 37 ba 97 55 83 b4 f0 |......r?.7..U...| -00000050 ad 0b f0 48 98 16 05 f1 b5 6e da a4 79 e4 d9 8e |...H.....n..y...| -00000060 62 af b9 a1 d1 a4 5c 04 d2 b1 86 32 af 64 ac 89 |b.....\....2.d..| -00000070 d3 47 5f 61 ae f4 21 5b 8d 4b ff 74 c1 b8 9c de |.G_a..![.K.t....| -00000080 fd 74 a0 99 c1 |.t...| +00000040 00 00 00 00 00 8d 3f d1 18 e5 df ef cc 3f 92 9d |......?......?..| +00000050 0d a5 5e f8 76 03 51 df 3b a4 c6 10 79 83 2b 2b |..^.v.Q.;...y.++| +00000060 ff b2 30 e7 a0 01 0e cf 3c 27 bd c6 e9 d2 04 a3 |..0.....<'......| +00000070 fe c0 34 8e 85 a1 2a 46 db b1 c1 ba dc 9c ca 1f |..4...*F........| +00000080 75 9f b5 9c 5e |u...^| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 09 3b 3e 7e 2e |..........P.;>~.| -00000010 d8 46 04 ac b0 3d c9 7e ec 28 8c bd 6c 0f a8 b5 |.F...=.~.(..l...| -00000020 af 8c 86 ed 64 81 6c d4 98 9e 56 2a 48 0d 03 40 |....d.l...V*H..@| -00000030 64 3e 25 58 6f 03 6a 4e be a2 11 6f 6f e7 2f c2 |d>%Xo.jN...oo./.| -00000040 8f 78 c4 11 a1 07 21 91 9d 34 01 08 39 0d 07 d2 |.x....!..4..9...| -00000050 d4 a2 cc 2f 25 ea ee 8d 8b 91 f9 |.../%......| +00000000 14 03 03 00 01 01 16 03 03 00 50 0a 8f 8f 00 a0 |..........P.....| +00000010 a0 fb 79 93 90 b9 cd a0 3b 4e ce ea e4 cb 5b 54 |..y.....;N....[T| +00000020 27 6b a3 9a 67 6d 7a cf 28 11 94 74 5e eb 9b f6 |'k..gmz.(..t^...| +00000030 8d 88 3e 76 d2 03 70 07 1c 39 ca 5c b5 a8 fe 0e |..>v..p..9.\....| +00000040 c7 63 8c b8 10 fc f3 79 e4 7e de 11 0c a1 c2 22 |.c.....y.~....."| +00000050 92 11 2d d3 16 ce d5 0b 0d 6c 34 |..-......l4| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 1d 76 4c fb 46 f8 02 9a bc 07 8d |......vL.F......| -00000020 b0 52 40 44 58 da ad be 3c a6 d7 44 0f 59 98 f3 |.R@DX...<..D.Y..| -00000030 ae 5c d2 04 bb 07 ee f6 99 9d 2c 14 44 3b 90 bc |.\........,.D;..| -00000040 2b e9 bc 37 59 15 03 03 00 40 00 00 00 00 00 00 |+..7Y....@......| -00000050 00 00 00 00 00 00 00 00 00 00 c4 ef 97 87 35 a2 |..............5.| -00000060 2f cc c2 6f 3d d5 f5 6f fd 74 56 50 37 f8 10 e8 |/..o=..o.tVP7...| -00000070 36 f5 fb 6f 7b 5d 20 07 0d 2f 72 46 a7 3a e0 de |6..o{] ../rF.:..| -00000080 39 b3 76 0e 4f c0 e7 85 4b bb |9.v.O...K.| +00000010 00 00 00 00 00 33 eb 2a 84 91 4c e2 ff 1f 5b 74 |.....3.*..L...[t| +00000020 fe f8 e2 ac b9 42 20 6d b4 8d ae 66 bd 3e 24 fd |.....B m...f.>$.| +00000030 b6 c8 3a 9f 4e 40 2d 91 47 a1 6a 93 0e 95 5d ca |..:.N@-.G.j...].| +00000040 e0 64 b4 f7 d0 15 03 03 00 40 00 00 00 00 00 00 |.d.......@......| +00000050 00 00 00 00 00 00 00 00 00 00 b6 00 08 e1 14 b2 |................| +00000060 8e 92 23 5c d7 ea 45 ed 1e 8d ad d0 29 06 e9 96 |..#\..E.....)...| +00000070 e4 3b 70 fb 72 c5 50 d1 32 ec 9f bd b9 d9 f6 e2 |.;p.r.P.2.......| +00000080 81 9c 7b 0d 59 d6 b7 d2 b8 90 |..{.Y.....| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 index 90a1639e990..604acfcc403 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 b8 16 bd ae 15 |....Y...U.......| -00000010 a3 33 52 cc 60 dc 6c fe 7c f3 82 b9 1e 13 ab 87 |.3R.`.l.|.......| -00000020 22 d8 c3 38 dc 8a 76 bb a0 a3 fd 20 8a d1 92 d1 |"..8..v.... ....| -00000030 d6 f3 76 e0 e2 76 32 95 32 a0 eb 5b dc e4 42 81 |..v..v2.2..[..B.| -00000040 14 bb 58 ab b8 e8 9d ee fa 32 58 05 c0 2c 00 00 |..X......2X..,..| +00000000 16 03 03 00 59 02 00 00 55 03 03 9a 51 f1 e1 99 |....Y...U...Q...| +00000010 72 61 1c ea 7b 77 d1 ec 19 d0 b2 d0 07 0d 18 17 |ra..{w..........| +00000020 7c 68 db 59 d0 6d f8 00 ef 41 df 20 21 25 4d 65 ||h.Y.m...A. !%Me| +00000030 e9 d2 02 08 e7 90 7f 04 dc 75 3b ea 77 fb c8 1d |.........u;.w...| +00000040 ad 89 6c 2c 39 bc 99 1a 7b 11 58 0f c0 2c 00 00 |..l,9...{.X..,..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -55,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 5c 9b |*............ \.| -00000280 9b 29 5c 83 36 b8 20 47 2b 04 0d 1b ab f5 f7 81 |.)\.6. G+.......| -00000290 aa 89 b4 93 37 aa 28 4e 44 e1 22 26 b6 46 04 03 |....7.(ND."&.F..| -000002a0 00 8a 30 81 87 02 42 01 2c 87 df 1f 07 86 36 c8 |..0...B.,.....6.| -000002b0 f6 aa 41 c1 8e 99 6e 12 08 5f e2 62 4b 3a 9b ad |..A...n.._.bK:..| -000002c0 e8 26 1c 95 f9 62 c6 f6 c7 e4 f7 db 3b 23 e5 4f |.&...b......;#.O| -000002d0 03 a1 c6 89 74 cb bd 2a 4e 47 3f 0f bf 28 bb 6d |....t..*NG?..(.m| -000002e0 c0 c6 53 4c 02 0b 9a 30 2d 02 41 0c 6f 26 a5 4c |..SL...0-.A.o&.L| -000002f0 b6 6c 8c ab 82 32 19 a0 f0 1b 41 2d 9d 1d 12 1b |.l...2....A-....| -00000300 91 62 6a 3d 17 92 79 f6 59 45 21 2f 6b d0 cb 7b |.bj=..y.YE!/k..{| -00000310 22 b3 79 80 90 90 81 97 06 c8 59 fd 8b 40 f9 ec |".y.......Y..@..| -00000320 80 58 db fc 5e a2 67 9a 96 01 53 d4 16 03 03 00 |.X..^.g...S.....| +00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 e4 08 |*............ ..| +00000280 e7 16 1b 17 33 6d 51 3f b7 2e 64 f3 72 f1 d2 c3 |....3mQ?..d.r...| +00000290 85 0c 1b a8 29 dc 6b 09 a4 71 b3 dd ab 7d 04 03 |....).k..q...}..| +000002a0 00 8a 30 81 87 02 42 01 05 bd af 40 18 f8 02 30 |..0...B....@...0| +000002b0 99 b2 05 73 a3 c1 86 dd f2 6b c9 28 2a 13 8f aa |...s.....k.(*...| +000002c0 a1 e0 37 b6 cc ed f9 2b ba 7a 7c e0 48 11 5f 66 |..7....+.z|.H._f| +000002d0 68 f2 31 7d 34 4d b2 df d2 09 36 a4 c8 5a 20 b8 |h.1}4M....6..Z .| +000002e0 00 45 70 8c 89 52 34 2d 6d 02 41 0f 66 6a fe 53 |.Ep..R4-m.A.fj.S| +000002f0 d4 e4 35 4f 05 f6 d4 52 83 72 4a 41 f3 ae a3 02 |..5O...R.rJA....| +00000300 78 8d 03 22 ba c2 82 b6 2c 76 a7 2c 7c 2e cf f7 |x.."....,v.,|...| +00000310 b0 70 90 89 82 be 76 4e 98 b1 64 26 d9 fe 6b 5e |.p....vN..d&..k^| +00000320 c0 5e 70 63 a9 8d 67 bf c6 66 ec 29 16 03 03 00 |.^pc..g..f.)....| 00000330 04 0e 00 00 00 |.....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 17 be e6 |....(...........| -00000040 ba 39 2d 82 38 6e 09 2c 1c ef d5 1f ad 8e e0 47 |.9-.8n.,.......G| -00000050 2d bc 74 f8 3b ed 86 89 9e e9 a5 01 40 |-.t.;.......@| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 8b d0 fa |....(...........| +00000040 f9 46 2d 3f 62 64 6e d0 ba 82 55 2a 03 20 42 2d |.F-?bdn...U*. B-| +00000050 6c a5 da 60 06 8a 19 1d c3 ed b7 0f 23 |l..`........#| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 42 3b b0 5e 66 |..........(B;.^f| -00000010 3e ef a5 3d 49 64 42 34 b1 21 d6 43 d3 f6 f5 84 |>..=IdB4.!.C....| -00000020 21 96 b4 7b ed 73 b5 23 b6 40 cf 86 ab 71 59 58 |!..{.s.#.@...qYX| -00000030 3a bf 79 |:.y| +00000000 14 03 03 00 01 01 16 03 03 00 28 b5 6a 60 53 f3 |..........(.j`S.| +00000010 ea 64 2e 5e 57 29 90 73 82 e4 40 58 ac b1 95 44 |.d.^W).s..@X...D| +00000020 45 52 17 1c 1b b1 18 6c d5 f7 49 70 02 b4 4a 23 |ER.....l..Ip..J#| +00000030 ae 42 73 |.Bs| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 8d 3c f7 |..............<.| -00000010 9e da 91 15 35 10 5f a4 29 32 3f 6a 8c 1d bc 13 |....5._.)2?j....| -00000020 8a 35 2b 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.5+.............| -00000030 1f b3 e3 e3 24 ac 7a a6 ee 81 e7 cc 9e 70 34 2c |....$.z......p4,| -00000040 d2 28 |.(| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 d4 5b ca |..............[.| +00000010 bc ba aa b7 c6 fc 2d 86 6b af 31 b3 28 4f 70 ac |......-.k.1.(Op.| +00000020 16 5e 6a 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.^j.............| +00000030 42 72 a8 83 27 51 69 2d bb 64 36 ce 2e 12 49 09 |Br..'Qi-.d6...I.| +00000040 81 35 |.5| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 index 1b3c37be241..152a7fb7819 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 @@ -1,24 +1,24 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 d0 01 00 00 cc 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 d2 01 00 00 ce 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 00 08 cc a9 |................| -00000050 13 01 13 03 13 02 01 00 00 7b 00 05 00 05 01 00 |.........{......| +00000050 13 01 13 03 13 02 01 00 00 7d 00 05 00 05 01 00 |.........}......| 00000060 00 00 00 00 0a 00 0a 00 08 00 1d 00 17 00 18 00 |................| -00000070 19 00 0b 00 02 01 00 00 0d 00 1a 00 18 08 04 04 |................| +00000070 19 00 0b 00 02 01 00 00 0d 00 1c 00 1a 08 04 04 |................| 00000080 03 08 07 08 05 08 06 04 01 05 01 06 01 05 03 06 |................| -00000090 03 02 01 02 03 ff 01 00 01 00 00 12 00 00 00 2b |...............+| -000000a0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| -000000b0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| -000000c0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| -000000d0 5f 58 cb 3b 74 |_X.;t| +00000090 03 02 01 02 03 fe 61 ff 01 00 01 00 00 12 00 00 |......a.........| +000000a0 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 33 00 |.+............3.| +000000b0 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 |&.$... /.}.G.bC.| +000000c0 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| +000000d0 90 99 5f 58 cb 3b 74 |.._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 ea 73 50 31 e4 |....Y...U...sP1.| -00000010 7a c7 e2 05 23 a0 22 e3 1a cd 6d b5 0f e7 f2 5e |z...#."...m....^| -00000020 d6 cb 6c 70 05 04 a9 63 4a a3 fc 20 a2 c5 68 f2 |..lp...cJ.. ..h.| -00000030 9b 56 6e 83 66 c1 7f 85 02 b6 6d 37 12 0f 12 5a |.Vn.f.....m7...Z| -00000040 41 7e c3 c9 44 85 3c 00 50 6f c7 f9 cc a9 00 00 |A~..D.<.Po......| +00000000 16 03 03 00 59 02 00 00 55 03 03 99 12 80 1a b4 |....Y...U.......| +00000010 d2 f5 d1 f0 cd e0 e6 dd 53 3c cf 8e 73 33 c1 2b |........S<..s3.+| +00000020 4d 3d 15 54 ef 4c b0 31 39 4f 59 20 4d 7f 2d 69 |M=.T.L.19OY M.-i| +00000030 e0 3e 04 f2 43 f7 02 31 aa c4 b3 35 35 ad 90 46 |.>..C..1...55..F| +00000040 14 c5 1a ac 34 9a 8a 78 b0 11 8b 1a cc a9 00 00 |....4..x........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -53,32 +53,32 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 a4 6a |*............ .j| -00000280 0d ab f2 7c 1a 31 2a 7d 51 b7 fe 69 cd 59 f5 c1 |...|.1*}Q..i.Y..| -00000290 10 94 a0 b2 6f 6f c4 48 48 9b 20 1e 46 2a 04 03 |....oo.HH. .F*..| -000002a0 00 8b 30 81 88 02 42 00 84 2a 96 88 a4 7a 86 7f |..0...B..*...z..| -000002b0 cf 86 20 37 17 de 54 0c c2 89 5e 27 f4 3b a4 ec |.. 7..T...^'.;..| -000002c0 ce 25 34 4e c7 a8 7d f5 56 6d 96 2c d0 53 ae 42 |.%4N..}.Vm.,.S.B| -000002d0 b5 87 a9 20 9c 4f c9 67 7e ca f6 fc 2f 61 72 35 |... .O.g~.../ar5| -000002e0 78 fe 54 32 1e a1 90 88 c2 02 42 01 a6 7b 98 de |x.T2......B..{..| -000002f0 fd 01 4b 4a 8f 1a e8 18 dd 07 bb 0b 38 41 7f 22 |..KJ........8A."| -00000300 62 3b 7e 37 67 b7 18 46 a7 32 43 1b c9 a9 8a a6 |b;~7g..F.2C.....| -00000310 d7 8a 2f 7b c5 14 f3 33 96 fe 0a fc 22 d0 a5 02 |../{...3...."...| -00000320 37 a5 31 5f b9 6b d2 3b f6 d0 d1 7b a1 16 03 03 |7.1_.k.;...{....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 27 ac |*............ '.| +00000280 ea 48 73 9a 0a 6a 46 02 3c c9 7e ce c4 c4 2a 78 |.Hs..jF.<.~...*x| +00000290 3e ed 5a a1 21 04 da 63 55 bc a5 74 13 4c 04 03 |>.Z.!..cU..t.L..| +000002a0 00 8b 30 81 88 02 42 01 0e 0f c8 71 81 2c d9 ec |..0...B....q.,..| +000002b0 a3 96 ad 74 99 d0 f0 91 1a d8 51 4f ba 47 df e6 |...t......QO.G..| +000002c0 ef ea 2f 7b f6 c3 a7 94 ba e7 05 c8 b8 9b fd 36 |../{...........6| +000002d0 fe 76 1c 79 80 7d 95 59 e1 41 83 73 02 c0 e0 a9 |.v.y.}.Y.A.s....| +000002e0 f5 66 24 f2 5d 65 d4 37 90 02 42 00 87 e7 e3 f8 |.f$.]e.7..B.....| +000002f0 e7 83 72 bc 7b c2 d4 77 e9 45 33 74 b3 7d d4 43 |..r.{..w.E3t.}.C| +00000300 f6 5e 58 39 e5 a7 aa 7b f5 c1 d9 1f 6e 5e 3c 22 |.^X9...{....n^<"| +00000310 08 3a 1e ff cc e9 da cb 5b 8b 6b 10 3a a9 da d9 |.:......[.k.:...| +00000320 70 2c a3 4e 31 af 99 d0 bb 2a f8 6c 9e 16 03 03 |p,.N1....*.l....| 00000330 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 f5 a0 28 0a 7e d4 8b a2 b6 e1 af |.... ..(.~......| -00000040 83 e2 50 e8 fc 7e f0 59 21 ed 3d 0d a8 ef a9 b1 |..P..~.Y!.=.....| -00000050 5a 13 2a 1b 2c |Z.*.,| +00000030 16 03 03 00 20 77 1f e8 50 af bc 0e 09 de dd 61 |.... w..P......a| +00000040 b8 95 fb 9e 2d b3 64 2c fd 5e 7e a1 82 4f a8 62 |....-.d,.^~..O.b| +00000050 be e8 5e ed b1 |..^..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 44 15 68 4d e0 |.......... D.hM.| -00000010 3b 34 c5 77 b2 25 f2 e9 35 75 08 f5 a9 53 c9 65 |;4.w.%..5u...S.e| -00000020 19 36 49 fe 43 e4 f5 48 ac 7c d7 |.6I.C..H.|.| +00000000 14 03 03 00 01 01 16 03 03 00 20 5a 99 19 9a 1a |.......... Z....| +00000010 0d 69 31 7e 7c af f8 0d cb 62 e8 26 e5 42 f7 8c |.i1~|....b.&.B..| +00000020 d2 5d 72 37 4a e9 3a fe 5d 60 35 |.]r7J.:.]`5| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 f7 fd 2a 83 90 01 f3 d2 82 dc bd |.......*........| -00000010 6c 33 31 a3 92 0f a4 f5 9c fa f4 15 03 03 00 12 |l31.............| -00000020 9e 60 18 02 f1 0d 2f f5 5f 68 69 ae 62 93 04 6a |.`..../._hi.b..j| -00000030 41 f0 |A.| +00000000 17 03 03 00 16 fd ff af 03 13 14 71 11 57 94 45 |...........q.W.E| +00000010 26 70 c4 00 23 2e 83 d9 27 d4 90 15 03 03 00 12 |&p..#...'.......| +00000020 39 e8 65 bc 15 10 f0 2c 38 b8 fb 3e 8e 86 87 5d |9.e....,8..>...]| +00000030 17 b5 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES index eff5b979f97..6e71630a48b 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 f1 07 97 47 f7 |....Y...U.....G.| -00000010 b8 42 f5 ce 2b b5 ec 5a d3 74 f1 fa 1f ea ec 6d |.B..+..Z.t.....m| -00000020 49 4e cf 2e 47 8b 2e 80 9b 8a ed 20 89 ca 35 4a |IN..G...... ..5J| -00000030 f4 35 5e b7 ed b2 96 ad e1 66 1d 43 9d 07 ba ed |.5^......f.C....| -00000040 ff 9d 47 65 c8 7d 91 32 4b 88 4d 83 c0 13 00 00 |..Ge.}.2K.M.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 fa d6 dc 9b b6 |....Y...U.......| +00000010 cf 05 d6 ff ed f1 b9 5f b1 3d 3e fc 34 6c f5 06 |......._.=>.4l..| +00000020 58 76 39 0d 08 72 b4 b7 2a c5 c1 20 7a e2 20 da |Xv9..r..*.. z. .| +00000030 bf f1 44 ff 98 3e d7 b0 19 5f d9 ce 95 3d 5c e8 |..D..>..._...=\.| +00000040 d6 50 d6 5a 4a a5 f8 c8 ae 16 06 ef c0 13 00 00 |.P.ZJ...........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 78 22 92 20 a9 be 78 |........ x". ..x| -000002d0 12 0f e6 83 13 3d 13 91 16 11 ca 26 9f b7 37 d5 |.....=.....&..7.| -000002e0 f0 97 f9 f2 01 fd 08 4f 42 08 04 00 80 2c f1 4e |.......OB....,.N| -000002f0 79 63 f2 d9 54 1c 0c 56 fd 56 4d e0 37 ee 5d bb |yc..T..V.VM.7.].| -00000300 22 90 fd ee d9 0f e6 d9 85 41 b9 8d d6 76 5f 05 |"........A...v_.| -00000310 1b 8c d7 4e c5 e8 4e 69 b9 5d de 73 c0 ed 4f 3e |...N..Ni.].s..O>| -00000320 09 9d b0 10 d6 61 87 d8 f9 c2 5b 48 f9 ef dd 65 |.....a....[H...e| -00000330 e6 f8 b0 d2 71 f6 e9 ae b1 c0 ea 90 dc 33 c6 72 |....q........3.r| -00000340 3e 9f 31 d4 ae 78 23 54 7a 4f 02 69 72 c1 06 2f |>.1..x#TzO.ir../| -00000350 3f 3c 7b f2 d8 17 40 a6 95 6d 46 62 6b 54 f1 cf |?<{...@..mFbkT..| -00000360 60 08 63 89 f7 a5 2a 52 3b 0e 0c d6 34 16 03 03 |`.c...*R;...4...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 b0 04 be 8f d9 b6 9d |........ .......| +000002d0 f6 e1 be 72 9f 96 8d 2b df 38 ee ca f0 c4 1a 23 |...r...+.8.....#| +000002e0 3e d5 28 25 a2 d9 a6 50 1e 08 04 00 80 4d 36 5c |>.(%...P.....M6\| +000002f0 90 8c 3f f3 bf 86 a9 cc 2d ea 78 dd 4c ff f7 b2 |..?.....-.x.L...| +00000300 36 89 1f 44 57 79 20 59 a3 78 69 5d d1 c2 dc a1 |6..DWy Y.xi]....| +00000310 01 a7 00 fa cb 50 d1 76 b4 b3 b0 e8 d9 fa 75 b6 |.....P.v......u.| +00000320 b8 5b 5a 4f 97 a9 dc 3b 14 f0 a7 19 74 8c a7 15 |.[ZO...;....t...| +00000330 13 24 6f 7f 92 41 c8 25 72 03 35 18 92 5b e6 cc |.$o..A.%r.5..[..| +00000340 72 d7 4c 76 9a 41 da 8c 08 f3 9b b4 02 7a e2 a0 |r.Lv.A.......z..| +00000350 d0 60 2b a2 1b 12 56 c3 9f fe 52 ef 3e 3b 05 7c |.`+...V...R.>;.|| +00000360 12 a9 5b 6f eb d8 97 50 66 c4 1b a5 7c 16 03 03 |..[o...Pf...|...| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 96 55 d3 bd a1 b6 de 93 68 19 ed |......U......h..| -00000050 4a 3a cc 42 7c c4 41 1e b5 37 65 d5 84 10 60 3d |J:.B|.A..7e...`=| -00000060 e9 57 29 28 79 54 da 6c 1b 36 6b b1 75 f4 bb 32 |.W)(yT.l.6k.u..2| -00000070 47 8d de c8 7d |G...}| +00000040 00 00 00 00 00 fb 79 54 57 ec a4 6a 9d 21 03 9a |......yTW..j.!..| +00000050 ed e4 3b 01 dc 43 92 ea a7 61 ab fa 7d 02 ed e8 |..;..C...a..}...| +00000060 5e 27 d8 6b 96 61 bc 35 78 c3 8a 3b 61 c4 d7 6f |^'.k.a.5x..;a..o| +00000070 d8 64 f4 2b e4 |.d.+.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 db ed ec 54 4a |..........@...TJ| -00000010 20 d8 a7 ee 12 04 e2 e4 95 b4 a4 a7 e1 80 c8 40 | ..............@| -00000020 81 00 6d 3e 58 26 7c d4 26 84 86 ee b4 fc c5 50 |..m>X&|.&......P| -00000030 46 31 e7 4c 1e fd ed 10 7e 72 45 18 43 db 4c 0d |F1.L....~rE.C.L.| -00000040 b5 49 6c 31 04 f0 85 a7 f8 02 e1 |.Il1.......| +00000000 14 03 03 00 01 01 16 03 03 00 40 2b 90 ac da b7 |..........@+....| +00000010 e7 33 bf 28 3b 2f 2a 14 75 1d ae 72 91 b9 da 92 |.3.(;/*.u..r....| +00000020 66 22 e3 7a 04 2f e2 10 9f 29 a4 91 70 b2 f4 26 |f".z./...)..p..&| +00000030 ff 66 ab 05 21 17 32 74 f3 3b 7a 2d 94 35 62 dd |.f..!.2t.;z-.5b.| +00000040 0e 09 8e b9 39 14 b2 b3 9e e7 10 |....9......| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 90 f7 06 a7 05 8d de 51 21 88 95 |............Q!..| -00000020 47 61 fb 8d a9 c9 6d 59 ca 92 8d 07 8b 9d 82 4e |Ga....mY.......N| -00000030 fd e9 ae 3d b0 15 03 03 00 30 00 00 00 00 00 00 |...=.....0......| -00000040 00 00 00 00 00 00 00 00 00 00 12 77 0c 5f 12 4b |...........w._.K| -00000050 96 ab 64 58 6e f5 82 09 6c 18 ae 1f a2 fb 0a 3b |..dXn...l......;| -00000060 71 17 25 8b c8 72 d0 13 fb e8 |q.%..r....| +00000010 00 00 00 00 00 c4 d4 63 74 76 b8 8a e7 ff 52 4e |.......ctv....RN| +00000020 cb 7a 12 97 0d 2b 02 a6 28 19 d5 aa 82 a4 6b d2 |.z...+..(.....k.| +00000030 4a 90 fc 94 ca 15 03 03 00 30 00 00 00 00 00 00 |J........0......| +00000040 00 00 00 00 00 00 00 00 00 00 3e 5f f2 7e 9d 3c |..........>_.~.<| +00000050 d3 6f f6 06 63 bd 52 16 73 fc ef d2 81 eb 73 f7 |.o..c.R.s.....s.| +00000060 5c 2c 8b 8b 2d 9a 2a 59 b5 25 |\,..-.*Y.%| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 index 4f8f49eb6a0..abe60823c80 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 9e d4 c1 3e c6 |....Y...U.....>.| -00000010 3d 44 eb a7 b8 c5 c8 e0 ab 16 06 83 67 5e b2 d6 |=D..........g^..| -00000020 67 50 4b f3 24 17 97 19 76 7e 71 20 5a 2b dc 15 |gPK.$...v~q Z+..| -00000030 87 37 be bb c7 9c 38 cd 3e 55 4e 33 32 a0 01 1b |.7....8.>UN32...| -00000040 79 13 87 6a 19 09 42 4c fb 59 97 a8 c0 27 00 00 |y..j..BL.Y...'..| +00000000 16 03 03 00 59 02 00 00 55 03 03 98 71 c3 c7 40 |....Y...U...q..@| +00000010 ee a0 c3 19 37 a1 a9 94 a3 80 fc 7e 3a 43 d7 e4 |....7......~:C..| +00000020 82 ca e8 46 05 d5 18 23 10 a8 08 20 5f da 9a 52 |...F...#... _..R| +00000030 c3 42 0a 40 54 68 10 a0 aa b5 d7 d1 c1 b9 49 c8 |.B.@Th........I.| +00000040 38 30 87 6f b3 e4 a1 2e 82 6d 97 26 c0 27 00 00 |80.o.....m.&.'..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,42 +61,42 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 57 62 97 e9 c8 c6 17 |........ Wb.....| -000002d0 73 d2 9e 31 a6 f8 be 03 65 86 af 6b e2 64 bf 7c |s..1....e..k.d.|| -000002e0 4a f1 b9 fb 84 21 10 76 66 08 04 00 80 2d 08 24 |J....!.vf....-.$| -000002f0 06 2a a3 c5 28 c4 22 5b fe 79 4f 91 56 9e 40 6f |.*..(."[.yO.V.@o| -00000300 e6 0c e8 70 e0 35 9e 55 91 51 86 ec ad ff 6b 3f |...p.5.U.Q....k?| -00000310 a7 19 fa 6f 74 47 8a 86 04 b5 8a f0 0a d5 e5 5f |...otG........._| -00000320 ea 30 cc 79 77 3d ac 99 da 41 7f 25 3b da cd da |.0.yw=...A.%;...| -00000330 aa 4e 2a 54 b5 d3 13 4f e4 e9 cb 76 86 fb 0b b5 |.N*T...O...v....| -00000340 0d a3 be ab d2 e6 6e f6 77 7c 60 a7 50 56 43 60 |......n.w|`.PVC`| -00000350 95 ba 95 c4 b5 1a 8d 6a f7 a5 9f 03 27 93 9f 23 |.......j....'..#| -00000360 44 27 88 f0 d5 51 0f ba 43 84 5c 02 14 16 03 03 |D'...Q..C.\.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 56 c3 2a 3f 43 a5 f7 |........ V.*?C..| +000002d0 56 25 94 72 fc 47 7a 82 9c bb cf 3e 95 e7 9f 42 |V%.r.Gz....>...B| +000002e0 91 e2 86 e1 32 97 c8 19 06 08 04 00 80 32 5d 4b |....2........2]K| +000002f0 76 4f 90 a5 b0 51 9f e6 40 52 f7 f7 fb ea 35 13 |vO...Q..@R....5.| +00000300 df f0 2f 08 61 9a e7 7d 3d b3 32 fa 6d ea 1f 5c |../.a..}=.2.m..\| +00000310 91 39 00 fb 44 13 67 ff 69 2a 48 3b 57 d2 e6 ee |.9..D.g.i*H;W...| +00000320 24 f3 be b2 94 f5 d6 e6 bb 41 ea 60 56 bf 27 c5 |$........A.`V.'.| +00000330 fb b2 98 91 bd 50 fc ab fb 9e f1 e8 73 f2 3c 12 |.....P......s.<.| +00000340 9b 1d 71 64 70 8d ec 84 79 34 55 53 79 4e af 37 |..qdp...y4USyN.7| +00000350 31 bf 49 18 02 63 1b 9a b7 7c 79 ee fd 60 0c 68 |1.I..c...|y..`.h| +00000360 24 61 3b b1 12 1c 69 9b 00 a2 47 1c b5 16 03 03 |$a;...i...G.....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 02 19 fd 3e 06 0d 12 0d 03 42 da |........>.....B.| -00000050 76 6f e2 e3 96 eb 42 d9 96 b7 0b ae d6 a0 06 fa |vo....B.........| -00000060 57 4e ff 62 85 dd 3f ab 63 f9 73 87 8d 71 6a c6 |WN.b..?.c.s..qj.| -00000070 f4 ef ce f5 55 5b d2 1f b5 33 fd 12 32 bd 5e 1e |....U[...3..2.^.| -00000080 d5 32 91 9a ae |.2...| +00000040 00 00 00 00 00 0a 43 00 85 a6 05 7d 7d 9f 2c 54 |......C....}}.,T| +00000050 04 32 f2 47 0f 5d a2 cc 1c ff 58 ff 2b 03 e9 db |.2.G.]....X.+...| +00000060 48 7b 2a 49 99 e5 f7 f7 bc d4 2e d1 c5 5a 9c 68 |H{*I.........Z.h| +00000070 2f 50 1b ee a4 d4 43 ac 7f 32 ef c3 88 da 3a 11 |/P....C..2....:.| +00000080 dc 55 81 d2 f9 |.U...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 77 80 95 42 a3 |..........Pw..B.| -00000010 2b 1c 16 0f 3b f4 78 2a bd ab 6e d1 33 1e 0e a5 |+...;.x*..n.3...| -00000020 c7 f4 e9 92 82 00 da 44 0f b6 4e f9 1f ef 67 3b |.......D..N...g;| -00000030 de 5c dc 93 07 68 99 1a 70 7f 92 a7 d7 da f3 60 |.\...h..p......`| -00000040 cf d5 f1 f0 5e 75 68 a1 0b 32 eb d2 96 de e6 34 |....^uh..2.....4| -00000050 c3 e3 26 43 1f a2 8d e7 1b fc 76 |..&C......v| +00000000 14 03 03 00 01 01 16 03 03 00 50 96 16 24 94 04 |..........P..$..| +00000010 0e f2 88 3b e1 5c 59 3b f6 43 25 ac 43 cb de 4d |...;.\Y;.C%.C..M| +00000020 54 0d 06 95 fa 44 7e 31 06 fd a5 11 a1 2c 26 fd |T....D~1.....,&.| +00000030 a5 40 e8 7d 62 c8 9b a1 7a cd 6a f7 74 ac 57 26 |.@.}b...z.j.t.W&| +00000040 9c 54 18 28 34 10 c4 17 aa 4c 55 cf 99 aa e9 39 |.T.(4....LU....9| +00000050 48 ef 71 30 8a 45 b3 f3 12 34 83 |H.q0.E...4.| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 f8 35 11 b8 23 cf d9 ec a7 d3 b9 |......5..#......| -00000020 60 1e 34 01 20 49 73 ec 72 78 58 24 3b fc a8 42 |`.4. Is.rxX$;..B| -00000030 b2 a9 69 69 40 65 5a c2 8b 9f 0b 0e 70 ab ac 22 |..ii@eZ.....p.."| -00000040 1a ac d6 04 06 15 03 03 00 40 00 00 00 00 00 00 |.........@......| -00000050 00 00 00 00 00 00 00 00 00 00 fe ed 19 a0 84 06 |................| -00000060 8b f0 e8 4e 30 7a 3c 89 a0 a8 59 74 a5 92 73 f3 |...N0z<...Yt..s.| -00000070 df 1b f0 c6 5a 95 d5 1c b6 57 4a 1b 8f 24 59 87 |....Z....WJ..$Y.| -00000080 b4 2b 7f 6f 89 03 e8 6d e5 d9 |.+.o...m..| +00000010 00 00 00 00 00 4a e8 79 05 ad 25 89 2b 98 44 f7 |.....J.y..%.+.D.| +00000020 59 bd 9b 28 8d 62 5c c0 21 68 e0 df d8 4c 0c e1 |Y..(.b\.!h...L..| +00000030 4a 01 35 b3 be 10 57 6c dc 10 46 10 0b fe c2 36 |J.5...Wl..F....6| +00000040 d5 ab 32 f9 58 15 03 03 00 40 00 00 00 00 00 00 |..2.X....@......| +00000050 00 00 00 00 00 00 00 00 00 00 00 0d 43 f0 d6 8a |............C...| +00000060 1e 3a 0d 9f e1 f7 ab 92 59 f0 a9 6c 46 07 a9 5a |.:......Y..lF..Z| +00000070 50 1c 6f ee b8 4a a0 08 3e 48 d1 53 e4 70 38 75 |P.o..J..>H.S.p8u| +00000080 e2 7a 87 0d e6 a1 4a ef 8d 6f |.z....J..o| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 index 38fb4a0be7c..2ed941ef354 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 @@ -1,24 +1,24 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 d0 01 00 00 cc 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 d2 01 00 00 ce 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 00 08 cc a8 |................| -00000050 13 01 13 03 13 02 01 00 00 7b 00 05 00 05 01 00 |.........{......| +00000050 13 01 13 03 13 02 01 00 00 7d 00 05 00 05 01 00 |.........}......| 00000060 00 00 00 00 0a 00 0a 00 08 00 1d 00 17 00 18 00 |................| -00000070 19 00 0b 00 02 01 00 00 0d 00 1a 00 18 08 04 04 |................| +00000070 19 00 0b 00 02 01 00 00 0d 00 1c 00 1a 08 04 04 |................| 00000080 03 08 07 08 05 08 06 04 01 05 01 06 01 05 03 06 |................| -00000090 03 02 01 02 03 ff 01 00 01 00 00 12 00 00 00 2b |...............+| -000000a0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| -000000b0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| -000000c0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| -000000d0 5f 58 cb 3b 74 |_X.;t| +00000090 03 02 01 02 03 fe 61 ff 01 00 01 00 00 12 00 00 |......a.........| +000000a0 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 33 00 |.+............3.| +000000b0 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 |&.$... /.}.G.bC.| +000000c0 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| +000000d0 90 99 5f 58 cb 3b 74 |.._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 4e fb dc 04 6f |....Y...U..N...o| -00000010 5a 52 37 a3 55 58 26 e5 cd a0 67 4c 0f 87 1a 3a |ZR7.UX&...gL...:| -00000020 f6 84 33 2f 2e 52 d0 48 7c 5b 64 20 6e d0 bc ca |..3/.R.H|[d n...| -00000030 c9 a5 87 8d 99 c5 ec 85 84 89 f0 22 ab 63 55 f4 |...........".cU.| -00000040 70 d7 02 93 b5 fe d7 38 fb c1 b2 da cc a8 00 00 |p......8........| +00000000 16 03 03 00 59 02 00 00 55 03 03 91 3f 60 de 20 |....Y...U...?`. | +00000010 ee 5c 8e 43 34 33 f7 d2 d1 c6 c9 40 09 3c 90 23 |.\.C43.....@.<.#| +00000020 20 07 8f 7e 0c 7d 0c 80 20 a7 db 20 15 e7 0b 06 | ..~.}.. .. ....| +00000030 fe 0b a2 6e a2 26 24 42 81 89 10 71 6a cc 35 fe |...n.&$B...qj.5.| +00000040 c3 d8 4a 69 e8 a2 6a ce 84 2b d9 34 cc a8 00 00 |..Ji..j..+.4....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -58,31 +58,31 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 fc 4b 92 ab d2 cb 4f |........ .K....O| -000002d0 61 aa 86 12 1a 1d 75 be 31 dd b8 ee 6c a6 db bd |a.....u.1...l...| -000002e0 0b ea b2 d5 27 49 42 eb 5a 08 04 00 80 02 ad 71 |....'IB.Z......q| -000002f0 e2 e8 f6 44 3c a6 18 6f 76 ee 9a eb 0e d9 ff cb |...D<..ov.......| -00000300 6d 1e 64 dd 29 1d 8c c8 f6 14 40 c0 12 46 74 4c |m.d.).....@..FtL| -00000310 41 2d 71 5f 9c b7 86 0b fc 66 1e 14 cb 26 d0 d7 |A-q_.....f...&..| -00000320 21 b4 bd c2 04 38 77 90 6a f0 01 18 bd 1c 17 45 |!....8w.j......E| -00000330 7e 38 46 4c 2e 97 ba 11 01 1f 20 cc df f2 6b 5b |~8FL...... ...k[| -00000340 a7 29 c0 52 52 9c 2f 23 bd 1c 72 c2 f2 99 d1 dc |.).RR./#..r.....| -00000350 6a 6c ac 8e 87 8a 00 74 47 2e 99 8d 3f 79 04 60 |jl.....tG...?y.`| -00000360 5e dc ba 86 1c f4 f9 03 22 38 96 a7 b3 16 03 03 |^......."8......| +000002c0 ac 0c 00 00 a8 03 00 1d 20 15 e5 a9 7c 39 6f 70 |........ ...|9op| +000002d0 18 dc e4 cb ed 63 ec e7 9d 30 7b 15 68 3e 12 84 |.....c...0{.h>..| +000002e0 f3 ff b5 10 18 32 fd 28 11 08 04 00 80 ae a6 35 |.....2.(.......5| +000002f0 31 64 8d 41 1e e2 a0 3c 5a 99 59 bd 97 63 5d 5d |1d.A...>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 0a 17 ee 70 8c 50 24 7c 00 b9 6f |.... ...p.P$|..o| -00000040 82 71 ed 2b 8c 0b 4b ff bb 38 bc 12 7e 0c a5 3e |.q.+..K..8..~..>| -00000050 71 a2 ad f8 52 |q...R| +00000030 16 03 03 00 20 7e b7 54 62 08 67 49 12 b1 25 03 |.... ~.Tb.gI..%.| +00000040 ea b7 c4 f6 09 f8 d7 c9 8e e4 c6 80 d9 6c bb 5b |.............l.[| +00000050 ed 20 0d f1 ff |. ...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 e9 87 55 12 a8 |.......... ..U..| -00000010 ad 68 42 0c 60 12 be 2f 2c e5 00 2d 01 cf 86 a2 |.hB.`../,..-....| -00000020 1b 06 b3 86 bf 88 48 73 7a d3 cc |......Hsz..| +00000000 14 03 03 00 01 01 16 03 03 00 20 83 a2 82 90 fe |.......... .....| +00000010 5c 43 b5 25 4f c7 c8 42 25 b5 bb b5 7e ae 83 60 |\C.%O..B%...~..`| +00000020 07 2f 09 f0 48 63 69 2a ee 72 c9 |./..Hci*.r.| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 96 75 4c c6 ba b1 ad ae 2f 44 9d |......uL...../D.| -00000010 10 c3 ef e5 dc fb 0a 3e af 6b 6a 15 03 03 00 12 |.......>.kj.....| -00000020 30 13 8f e5 a1 0f 38 67 b9 53 4e 6a 66 ec ee 45 |0.....8g.SNjf..E| -00000030 c2 b2 |..| +00000000 17 03 03 00 16 c3 05 73 7e a9 35 3d ef 66 26 72 |.......s~.5=.f&r| +00000010 0e ad e9 40 8e b5 a7 ee 6e 0a d1 15 03 03 00 12 |...@....n.......| +00000020 13 b0 f3 78 da 32 72 69 17 53 f0 1b dc 68 4c 02 |...x.2ri.S...hL.| +00000030 d9 06 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 index 35513adb842..4ae46b70111 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 66 49 2a a6 a4 |....Y...U..fI*..| -00000010 75 60 58 bb 5f 5e 82 cd e5 c0 9f 6d a4 fd 39 3b |u`X._^.....m..9;| -00000020 d9 17 80 14 89 ea 51 c1 b0 43 d6 20 b2 6b 72 81 |......Q..C. .kr.| -00000030 f6 63 20 22 e2 b6 d2 61 aa 87 b6 67 ae 56 78 44 |.c "...a...g.VxD| -00000040 5d 10 8c cf ea 32 cf 9e 92 e5 59 70 cc a9 00 00 |]....2....Yp....| +00000000 16 03 03 00 59 02 00 00 55 03 03 55 48 cb ac 75 |....Y...U..UH..u| +00000010 fc 41 56 c6 68 b6 79 ee d5 26 cd e5 53 c3 d0 a2 |.AV.h.y..&..S...| +00000020 c6 41 e2 82 44 ff ab 6a e1 45 2b 20 5c ad 6a 2d |.A..D..j.E+ \.j-| +00000030 71 5e 75 5d fb a3 a9 83 60 be 6e 63 b9 ee ab d3 |q^u]....`.nc....| +00000040 a9 ba 94 78 32 e2 9c 4a e0 f6 b3 20 cc a9 00 00 |...x2..J... ....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 01 3c 0b 00 01 38 00 01 35 00 01 32 30 82 01 |..<...8..5..20..| 00000070 2e 30 81 e1 a0 03 02 01 02 02 10 0f 43 1c 42 57 |.0..........C.BW| @@ -42,27 +43,27 @@ 00000170 90 95 39 e5 0d c1 55 ff 2c 16 b7 1d fc ab 7d 4d |..9...U.,.....}M| 00000180 d4 e0 93 13 d0 a9 42 e0 b6 6b fe 5d 67 48 d7 9f |......B..k.]gH..| 00000190 50 bc 6c cd 4b 03 83 7c f2 08 58 cd ac cf 0c 16 |P.l.K..|..X.....| -000001a0 03 03 00 6c 0c 00 00 68 03 00 1d 20 c4 8c b8 a2 |...l...h... ....| -000001b0 32 92 b8 22 1f 4c f1 96 00 64 35 47 4e f8 3d 08 |2..".L...d5GN.=.| -000001c0 83 12 fe 95 a8 e4 8e c9 30 27 5c 39 08 07 00 40 |........0'\9...@| -000001d0 7f 90 cf e0 87 69 e3 50 e6 fa 5e 28 a1 0f 79 0a |.....i.P..^(..y.| -000001e0 6e cf f4 87 e8 2f 55 b2 dd cb 5e 8f 9a 14 bd c2 |n..../U...^.....| -000001f0 2b 2b 2d ed 72 40 23 5d 6d f4 89 3a ff 09 82 ec |++-.r@#]m..:....| -00000200 b6 4b 27 9a 08 ea e9 73 94 b4 31 1f e1 39 86 0e |.K'....s..1..9..| +000001a0 03 03 00 6c 0c 00 00 68 03 00 1d 20 3a 1c 14 71 |...l...h... :..q| +000001b0 3c 43 4d 94 67 1a db 7e 1c f9 f8 a9 00 45 cc 65 |>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 8f 97 36 bd 59 ef 8e 2f 11 28 b0 |.... ..6.Y../.(.| -00000040 d7 20 79 bf 04 07 45 f9 89 de b0 c7 55 1a ad 80 |. y...E.....U...| -00000050 0f 8c ef 1d c6 |.....| +00000030 16 03 03 00 20 f4 ef 2f 54 9b e0 8d 2d 13 02 4b |.... ../T...-..K| +00000040 f3 b0 6e 05 a8 76 d8 63 88 89 c2 8d 0e cf d6 47 |..n..v.c.......G| +00000050 d3 c4 66 78 0f |..fx.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 47 6c 1f 86 47 |.......... Gl..G| -00000010 72 03 94 e0 43 f8 e5 ca 03 7d f5 d5 dd 70 05 f5 |r...C....}...p..| -00000020 98 5d 51 b4 11 49 71 7a fd 37 9a |.]Q..Iqz.7.| +00000000 14 03 03 00 01 01 16 03 03 00 20 72 67 89 ea ca |.......... rg...| +00000010 40 19 13 75 e6 48 0f d5 7f d1 5d ca dc e8 9e ec |@..u.H....].....| +00000020 cf fb 6f ca ff af 98 7e 44 1f 76 |..o....~D.v| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 b7 a2 f5 8e 7c d3 7d 61 af 29 1c |.........|.}a.).| -00000010 77 0c 8d b4 5b d3 be 77 a6 a5 99 15 03 03 00 12 |w...[..w........| -00000020 d8 23 dc a8 99 fe 1c 6e f2 2f 41 8e df 40 11 4f |.#.....n./A..@.O| -00000030 6b 92 |k.| +00000000 17 03 03 00 16 e1 f5 33 a5 1c 43 19 3d f3 81 58 |.......3..C.=..X| +00000010 f6 9f d7 78 02 a5 38 85 f7 2f 18 15 03 03 00 12 |...x..8../......| +00000020 9c 17 76 2c 14 a8 95 d5 d5 b1 12 8c 4e f4 67 c8 |..v,........N.g.| +00000030 a0 ab |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial index c900aa6d5e1..634021f68f3 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 7c c1 7b 30 03 |....Y...U..|.{0.| -00000010 3c d7 63 5f 47 1c b1 13 56 56 b4 fd 55 e2 27 3e |<.c_G...VV..U.'>| -00000020 39 bb ce 9b 5b 2c 1e 17 33 e1 da 20 65 8b 26 42 |9...[,..3.. e.&B| -00000030 a4 38 29 c7 9a 25 13 fc 1d 69 cb 10 63 c6 26 fc |.8)..%...i..c.&.| -00000040 f4 46 64 31 28 06 b3 a5 a4 c2 f6 5a cc a8 00 00 |.Fd1(......Z....| +00000000 16 03 03 00 59 02 00 00 55 03 03 f0 83 cf b7 62 |....Y...U......b| +00000010 11 58 de a6 6e 72 91 6a 3f 64 14 b7 cd 7a af aa |.X..nr.j?d...z..| +00000020 e3 43 19 6e a4 19 b0 de dc c0 c1 20 8f 57 36 30 |.C.n....... .W60| +00000030 e0 0e 57 0a 6b 00 7a fa d0 5a 07 9c ca 46 a2 53 |..W.k.z..Z...F.S| +00000040 8c 6f 65 6c 74 10 f2 49 82 cc 83 7d cc a8 00 00 |.oelt..I...}....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,31 +61,31 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 f7 a2 97 2f 50 e4 e2 |........ .../P..| -000002d0 fa ef 80 67 78 1c aa 6c 03 aa 05 3b 6f 98 97 11 |...gx..l...;o...| -000002e0 7e 55 3d 50 f3 a9 9b 21 65 08 04 00 80 34 4a 4b |~U=P...!e....4JK| -000002f0 4b 6e 86 01 1b 6b 8e 3e 84 01 75 b8 05 c3 b2 52 |Kn...k.>..u....R| -00000300 16 ee ac 61 83 dd 09 32 d5 55 6a 5d d6 6b 4a 1a |...a...2.Uj].kJ.| -00000310 2b f7 09 33 6f 3d 4f c1 e3 aa 03 27 fe af cd 6d |+..3o=O....'...m| -00000320 b8 76 00 02 42 98 e6 f6 b7 ed fb 35 35 29 23 b1 |.v..B......55)#.| -00000330 4d 48 0a ba a1 1b e3 8e a2 cb 80 11 ec 92 20 df |MH............ .| -00000340 1f a4 5e 5d 70 85 8e 5d 85 62 81 1f b3 3a 0d 8d |..^]p..].b...:..| -00000350 9a 07 d3 99 a5 3c 6c c2 52 08 f0 be 50 ed d2 4d |......J.| +00000310 db a5 7c f4 3e e3 b3 76 d5 c6 1d c5 a4 97 9e 44 |..|.>..v.......D| +00000320 8b 3e 1c e2 9b 43 d1 fa 19 85 d3 37 54 4a 04 19 |.>...C.....7TJ..| +00000330 81 e8 b0 b9 84 73 6c 4c fb d3 82 99 2c 54 f0 33 |.....slL....,T.3| +00000340 a2 01 e2 d6 c3 3c ed 2a da 7a 30 09 a2 d0 66 f5 |.....<.*.z0...f.| +00000350 e7 82 c4 a1 a3 5e 7d 4e 72 10 fd 00 f3 e6 ce a8 |.....^}Nr.......| +00000360 9b a0 28 7f 09 71 ac 59 4f 74 c3 29 c4 16 03 03 |..(..q.YOt.)....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 30 8b ea ef 6c 35 97 5b 26 5f ef |.... 0...l5.[&_.| -00000040 bc 28 fd e9 23 73 bb b3 ae 41 0c be 5f 83 a5 f7 |.(..#s...A.._...| -00000050 96 07 8d 81 67 |....g| +00000030 16 03 03 00 20 87 8e 79 76 34 a4 fa 6d d1 df c4 |.... ..yv4..m...| +00000040 f9 92 84 69 3f 54 d4 8c 8f 40 d2 9a 4f 6f 27 9a |...i?T...@..Oo'.| +00000050 79 06 45 18 84 |y.E..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 29 fa a8 de f2 |.......... )....| -00000010 8f 94 16 fc be 84 93 e9 34 98 c2 44 08 9b 2e 37 |........4..D...7| -00000020 1f 41 61 53 fa 9c 23 ff d8 6d c3 |.AaS..#..m.| +00000000 14 03 03 00 01 01 16 03 03 00 20 b2 bd f9 2f 1d |.......... .../.| +00000010 ae e3 50 40 42 1a 56 46 0d e2 1c b6 26 f8 d3 5a |..P@B.VF....&..Z| +00000020 e8 38 05 50 d6 a8 98 49 66 a0 db |.8.P...If..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 ab 6d 32 1c 16 cc 29 b1 21 4c b1 |......m2...).!L.| -00000010 74 4c 50 e3 1f c5 f1 05 6a 8a 92 15 03 03 00 12 |tLP.....j.......| -00000020 18 88 3d 23 81 d7 ba c5 1e 9a c4 3a 1b c8 cd 5b |..=#.......:...[| -00000030 c5 fa |..| +00000000 17 03 03 00 16 c1 5b 9b d3 1b 25 29 69 ae 4d bd |......[...%)i.M.| +00000010 ac 5b 31 a8 f1 7d ec 75 cf 83 3e 15 03 03 00 12 |.[1..}.u..>.....| +00000020 fd bc 64 b2 6d 94 94 bc bb d9 1b 80 8b 1b ed 65 |..d.m..........e| +00000030 3e 75 |>u| diff --git a/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE b/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE index d75b670e1d5..126368fb492 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 15 01 00 01 11 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 17 01 00 01 13 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,22 +7,22 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 96 00 05 00 05 01 00 00 00 00 00 0a 00 |................| -00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 1a 00 |................| -000000a0 18 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 ff 01 00 01 00 00 12 |................| -000000c0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| -000000d0 33 00 47 00 45 00 17 00 41 04 1e 18 37 ef 0d 19 |3.G.E...A...7...| -000000e0 51 88 35 75 71 b5 e5 54 5b 12 2e 8f 09 67 fd a7 |Q.5uq..T[....g..| -000000f0 24 20 3e b2 56 1c ce 97 28 5e f8 2b 2d 4f 9e f1 |$ >.V...(^.+-O..| -00000100 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 b6 d7 49 a6 |..lK[.V.2B.X..I.| -00000110 b5 68 1a 41 03 56 6b dc 5a 89 |.h.A.Vk.Z.| +00000080 01 00 00 98 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 1c 00 |................| +000000a0 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 ff 01 00 01 00 |..........a.....| +000000c0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| +000000d0 01 00 33 00 47 00 45 00 17 00 41 04 1e 18 37 ef |..3.G.E...A...7.| +000000e0 0d 19 51 88 35 75 71 b5 e5 54 5b 12 2e 8f 09 67 |..Q.5uq..T[....g| +000000f0 fd a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b 2d 4f |..$ >.V...(^.+-O| +00000100 9e f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 b6 d7 |....lK[.V.2B.X..| +00000110 49 a6 b5 68 1a 41 03 56 6b dc 5a 89 |I..h.A.Vk.Z.| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 b8 7d f5 69 c3 |....Y...U...}.i.| -00000010 6a ca 8b df f3 30 2c 39 47 2e 74 2e 4f 89 4c 1e |j....0,9G.t.O.L.| -00000020 f0 eb 10 0e 06 1d 2c 4e de 2e 8f 20 6c a0 5b 66 |......,N... l.[f| -00000030 fc a6 05 df 29 6b ce 72 92 e7 d7 78 f5 46 38 f9 |....)k.r...x.F8.| -00000040 91 1c 9a 08 4c b1 9a 41 e5 0c d2 cd c0 2f 00 00 |....L..A...../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 82 8e 25 a2 57 |....Y...U....%.W| +00000010 6b 7d 8a eb b1 b0 65 b1 14 d8 3e e4 26 67 f7 6f |k}....e...>.&g.o| +00000020 46 4a 74 c7 24 e0 73 d0 b1 3a e9 20 4b ba 54 44 |FJt.$.s..:. K.TD| +00000030 6d 98 a4 f2 d9 42 8f 2d fb 15 47 4a 08 da 13 9c |m....B.-..GJ....| +00000040 5b 64 29 7e e3 b1 a7 fd d8 ba c3 b5 c0 2f 00 00 |[d)~........./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -62,19 +62,19 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 cd 0c 00 00 c9 03 00 17 41 04 3e 87 67 8b 87 08 |........A.>.g...| -000002d0 fe 4e 4c c3 6b 42 4b 97 ad f4 1c 83 35 72 db 4f |.NL.kBK.....5r.O| -000002e0 39 83 ea 14 69 bb 8c 87 58 c5 a4 a8 8c d7 9d af |9...i...X.......| -000002f0 7a 5e 58 59 31 4d f2 01 4a 23 51 24 1b 04 0c e3 |z^XY1M..J#Q$....| -00000300 94 9e 1b 6c ad aa 83 fd 2d 36 08 04 00 80 ab e9 |...l....-6......| -00000310 ff 6d 7a cd 3b a7 da ff d5 bd 27 49 68 53 f5 45 |.mz.;.....'IhS.E| -00000320 c3 dd 5b a2 99 fb 8f 24 37 49 d3 08 87 d1 06 98 |..[....$7I......| -00000330 39 72 25 78 b3 05 fb a2 c9 ac f9 c8 f7 fc ea 8a |9r%x............| -00000340 98 ce 78 83 64 f6 e0 c7 44 62 af a7 d5 26 df f1 |..x.d...Db...&..| -00000350 2c cc ce 11 8b 03 4a e1 81 54 3f e1 6e 52 c9 1a |,.....J..T?.nR..| -00000360 d8 95 52 e0 3f a5 e3 c8 12 9a c7 57 5d 46 7a ce |..R.?......W]Fz.| -00000370 56 8a 90 0f 0d 1b ba 58 cf 1c a3 4b 39 5a 08 ee |V......X...K9Z..| -00000380 8a 61 bb 0f 7d f7 0e f2 1f 73 e0 c8 6f 54 16 03 |.a..}....s..oT..| +000002c0 cd 0c 00 00 c9 03 00 17 41 04 12 50 e4 6b fa e9 |........A..P.k..| +000002d0 04 f3 d2 ea ef 99 c5 ff c0 bc 2f 3b d8 f8 2e 3c |........../;...<| +000002e0 4a e7 da 42 5c 50 19 eb 14 af aa 83 b8 7d b6 e5 |J..B\P.......}..| +000002f0 5c 0e df 1f 43 40 b0 db 7f 93 3c cd d4 b7 43 17 |\...C@....<...C.| +00000300 d1 dc 0f 45 12 ba dd 87 ad c4 08 04 00 80 b3 79 |...E...........y| +00000310 88 74 ac 96 6d 19 3d 38 3c f5 24 6b 41 12 9d f0 |.t..m.=8<.$kA...| +00000320 79 56 2f cf 3a b7 0a 0f e1 eb f9 dc 67 26 1b 5d |yV/.:.......g&.]| +00000330 38 39 ff f7 50 45 27 e5 f2 35 76 c4 a1 9c 9c 47 |89..PE'..5v....G| +00000340 8c 6f 75 1f 80 a5 7b 31 ca 98 28 41 71 53 62 11 |.ou...{1..(AqSb.| +00000350 2f 30 b3 35 7c 9f 4f 0e 04 7c a7 56 33 ee 51 43 |/0.5|.O..|.V3.QC| +00000360 23 c7 7c d3 d1 b2 fb 5d 28 c4 bf e0 b1 a4 5d d7 |#.|....](.....].| +00000370 44 96 fb 35 b1 d5 51 db db 56 11 a9 0c 44 b3 7a |D..5..Q..V...D.z| +00000380 ef 44 eb c1 d5 80 0f 62 74 c9 3b 10 cf 4e 16 03 |.D.....bt.;..N..| 00000390 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) 00000000 16 03 03 00 46 10 00 00 42 41 04 1e 18 37 ef 0d |....F...BA...7..| @@ -82,17 +82,17 @@ 00000020 a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b 2d 4f 9e |.$ >.V...(^.+-O.| 00000030 f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 b6 d7 49 |...lK[.V.2B.X..I| 00000040 a6 b5 68 1a 41 03 56 6b dc 5a 89 14 03 03 00 01 |..h.A.Vk.Z......| -00000050 01 16 03 03 00 28 00 00 00 00 00 00 00 00 b8 16 |.....(..........| -00000060 ce 7d df 64 13 07 9e d8 37 bb 3f 9c 9e 2b 3c 0e |.}.d....7.?..+<.| -00000070 26 a7 9d 32 e5 44 b8 d6 66 bc 05 7b 27 7a |&..2.D..f..{'z| +00000050 01 16 03 03 00 28 00 00 00 00 00 00 00 00 a7 36 |.....(.........6| +00000060 98 dc 7b 6e 70 cf d3 dd 1b 83 56 26 5a 13 27 ea |..{np.....V&Z.'.| +00000070 72 15 99 37 45 f3 af 46 46 2f 0b e7 aa e1 |r..7E..FF/....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 c0 73 5c 27 1b |..........(.s\'.| -00000010 19 d0 66 68 ea c5 ad 7d a8 03 37 d2 9a ff 00 c4 |..fh...}..7.....| -00000020 70 65 98 3b 88 59 c0 ca e3 c0 d6 32 0e 8d 15 3c |pe.;.Y.....2...<| -00000030 e2 c3 f3 |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 35 d2 62 52 cb |..........(5.bR.| +00000010 9d 96 e1 d5 97 43 bd 87 8a 6c 73 c9 a7 4c 76 48 |.....C...ls..LvH| +00000020 1a 0e 31 b1 0d 41 55 42 21 a3 c0 3c 78 21 ab 28 |..1..AUB!..>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 28 ef 47 |.............(.G| -00000010 ad 7f 40 4b 34 78 f3 1e 01 a7 f4 20 0a d5 c1 41 |..@K4x..... ...A| -00000020 f7 be 41 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..A.............| -00000030 fb fc eb 14 f2 a6 e7 2e 80 d6 93 31 25 01 e9 d2 |...........1%...| -00000040 c3 ae |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 b3 ef 22 |..............."| +00000010 9f d5 bf 5d 44 d9 be d9 22 c7 43 9c f5 91 0f b0 |...]D...".C.....| +00000020 ca 9a 52 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..R.............| +00000030 6f e6 ab fb 7d 62 27 35 54 90 b4 3d 3b dd 4d 08 |o...}b'5T..=;.M.| +00000040 31 30 |10| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 index ab2c4eb14d8..e97646781c6 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 34 50 1f 52 15 |....Q...M..4P.R.| -00000010 85 c7 85 2c 4d a9 b2 0c 49 e5 a3 ea 57 21 96 39 |...,M...I...W!.9| -00000020 db c9 97 b6 c4 d0 81 9a 39 a3 e8 20 59 f5 b9 db |........9.. Y...| -00000030 58 2e ef 1c b3 85 96 27 6a 23 71 3f 5c 72 ce cf |X......'j#q?\r..| -00000040 c5 b7 fe 05 00 f4 65 06 54 c1 2e 7c 00 05 00 00 |......e.T..|....| +00000000 16 03 03 00 51 02 00 00 4d 03 03 dd b4 cf c2 91 |....Q...M.......| +00000010 35 24 cf 39 3e 28 53 6d 2b 5e b2 1c 07 62 13 12 |5$.9>(Sm+^...b..| +00000020 96 4a 93 04 4e d8 57 06 19 82 3d 20 90 01 a5 5e |.J..N.W...= ...^| +00000030 6b 82 cd e3 5e 3e 7f ae 20 f9 a2 de bb 4a 85 76 |k...^>.. ....J.v| +00000040 b5 9c cb c0 35 24 09 45 94 b9 fe 91 00 05 00 00 |....5$.E........| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -70,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 24 ab 48 84 ae 77 f9 8b 82 44 52 |.....$.H..w...DR| -000000a0 3e 65 94 27 cc f2 08 a7 f2 e5 21 0c 02 d0 89 ac |>e.'......!.....| -000000b0 50 be 69 57 c9 7c a0 f2 7f 6d |P.iW.|...m| +00000090 01 16 03 03 00 24 ac 09 ef a7 76 d1 2c 3c 77 77 |.....$....v.,>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 24 61 94 21 65 0f |..........$a.!e.| -00000010 10 ba 0c a6 d9 e3 08 54 86 ae f9 64 c7 e7 f4 4b |.......T...d...K| -00000020 aa f5 19 ca 2a 0d 50 88 85 42 32 14 04 29 d9 |....*.P..B2..).| +00000000 14 03 03 00 01 01 16 03 03 00 24 ae 29 50 f2 70 |..........$.)P.p| +00000010 08 92 36 3e 27 3a 9f 27 cd 41 c8 15 41 06 76 58 |..6>':.'.A..A.vX| +00000020 c4 fa 64 dd 7e 2a 19 a8 a3 23 56 12 a2 d6 98 |..d.~*...#V....| >>> Flow 5 (client to server) -00000000 17 03 03 00 1a cb 1d 43 67 de 7a 20 c7 ed 46 99 |.......Cg.z ..F.| -00000010 86 1f b9 61 9f c6 34 9a 07 37 3c 94 45 b4 40 15 |...a..4..7<.E.@.| -00000020 03 03 00 16 4e ac d3 12 23 b4 33 bc 5b 03 91 7e |....N...#.3.[..~| -00000030 d9 d0 7f d7 48 3e 8c 16 16 ec |....H>....| +00000000 17 03 03 00 1a ba be e9 bf ca e9 5c a3 65 f6 44 |...........\.e.D| +00000010 ac f9 6c 9b 7e 6f a1 12 20 6a 1c ec d7 ca 9a 15 |..l.~o.. j......| +00000020 03 03 00 16 ed 44 2b 48 31 04 f8 c2 2e 83 19 db |.....D+H1.......| +00000030 c9 86 db e5 ff 71 43 28 c0 52 |.....qC(.R| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce index 48a99eda155..00fa1877291 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 f1 d8 72 0c 79 |....Y...U....r.y| -00000010 e2 ca 92 11 1c 30 cc 45 00 9b ea 3d a3 ed 23 d5 |.....0.E...=..#.| -00000020 22 f0 da 9c 03 32 7b c3 13 d3 df 20 8f 7a 61 43 |"....2{.... .zaC| -00000030 cb 72 46 5e c1 39 78 42 32 97 cc 2b 90 2e 53 59 |.rF^.9xB2..+..SY| -00000040 31 38 ec 7b 2b 8a f3 80 e0 03 f0 0e cc a8 00 00 |18.{+...........| +00000000 16 03 03 00 59 02 00 00 55 03 03 69 5b d6 1c 07 |....Y...U..i[...| +00000010 3e b0 ef 93 22 db b6 b0 be 8d 49 3d 8c 56 99 b3 |>...".....I=.V..| +00000020 0f b5 42 ae ce e1 33 1d ce ef 9b 20 95 1c c8 b6 |..B...3.... ....| +00000030 e9 07 06 f5 f2 2a 0d 16 b5 3e 80 2c e9 31 77 12 |.....*...>.,.1w.| +00000040 d8 48 ad c2 93 99 33 06 af fb 01 b7 cc a8 00 00 |.H....3.........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,185 +61,185 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 96 cb 1d cd f6 2f ff |........ ...../.| -000002d0 fe 32 ef d6 18 a2 6b 57 66 cd 3d 50 42 56 dc a4 |.2....kWf.=PBV..| -000002e0 5f fe e4 91 ce d1 17 34 3c 08 04 00 80 b1 47 de |_......4<.....G.| -000002f0 b3 19 b0 fd 02 35 eb 3c a1 04 d3 6b 53 84 20 c7 |.....5.<...kS. .| -00000300 08 4b 96 12 23 ae bf ca a8 83 1d 90 16 ae d3 7c |.K..#..........|| -00000310 fa 1b b4 f0 bb bb 4e 3f 70 13 2f 40 6c d4 76 61 |......N?p./@l.va| -00000320 5b 23 85 3f e7 37 ef e1 55 47 8d 01 e1 24 22 7f |[#.?.7..UG...$".| -00000330 a4 2c 6f 97 47 5f d6 69 bf b4 db 4b b8 a1 ad 66 |.,o.G_.i...K...f| -00000340 5f d5 5d b6 06 ac 93 ed d7 06 cb b5 a4 d4 4b a7 |_.]...........K.| -00000350 7b de f7 73 60 af ad 23 f4 6a f1 bf 2a ee 5b 4e |{..s`..#.j..*.[N| -00000360 83 94 d7 95 3b e5 5e a5 3d 1a 0a 7a 9e 16 03 03 |....;.^.=..z....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 db 93 0a f3 b3 d0 49 |........ ......I| +000002d0 cd 22 42 0b 9d 16 da 79 d9 bb 38 6f c0 ed 9a 08 |."B....y..8o....| +000002e0 5f 83 0d 10 2e f0 43 aa 7b 08 04 00 80 30 2d e9 |_.....C.{....0-.| +000002f0 78 a4 09 e2 9c fa 5d 2c c5 58 f5 48 65 95 81 e2 |x.....],.X.He...| +00000300 ac fd ba 50 59 a1 7c 7f d5 d0 fa 01 46 b0 77 bd |...PY.|.....F.w.| +00000310 c1 2b c8 2f bd dd d6 15 b2 89 9f 02 8b 62 32 65 |.+./.........b2e| +00000320 bd 1b 0c b6 dd 77 82 8e 17 2b e2 ca 6a 7e fa be |.....w...+..j~..| +00000330 8b ef f3 39 a5 99 86 41 50 25 10 24 94 0e 6f 06 |...9...AP%.$..o.| +00000340 53 94 2d 32 65 87 87 3e 12 6a 5b 8b 39 3a 59 61 |S.-2e..>.j[.9:Ya| +00000350 13 fc e5 ec 60 74 ac c5 e3 40 7f 65 a8 67 4d 4f |....`t...@.e.gMO| +00000360 98 bd 27 29 18 44 35 66 4b d6 2a f2 07 16 03 03 |..').D5fK.*.....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 f2 6f 2e 79 5c db 90 b8 2e cf 59 |.... .o.y\.....Y| -00000040 0a 56 69 86 f1 71 0c ff a9 7c 0b a0 e7 c9 8d 17 |.Vi..q...|......| -00000050 65 ad a5 6c 82 |e..l.| +00000030 16 03 03 00 20 47 1a 8d 73 f7 84 4d db 44 e5 51 |.... G..s..M.D.Q| +00000040 89 f4 8f f8 76 b5 3c 4b b8 37 c0 24 8e 17 27 74 |....v.>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 d5 90 08 84 71 |.......... ....q| -00000010 bc 09 48 be ad 59 11 76 c6 39 bb 94 8c 60 80 29 |..H..Y.v.9...`.)| -00000020 44 1a 0d fe 5c 00 4c bc 47 3c 1e |D...\.L.G<.| +00000000 14 03 03 00 01 01 16 03 03 00 20 7a 7d 1c 3c b2 |.......... z}.<.| +00000010 d5 b8 eb 49 cc e3 4c a3 ca cc fb 2d b7 8e e7 88 |...I..L....-....| +00000020 b6 de d9 3d 84 c9 35 d7 eb d4 84 |...=..5....| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 42 cd 1c e5 91 35 b0 c1 4d df e4 |.....B....5..M..| -00000010 b0 ca f3 8a 7a 41 85 31 7a 7d 59 |....zA.1z}Y| +00000000 17 03 03 00 16 73 ad 40 5d 92 f2 b0 95 0d 07 95 |.....s.@].......| +00000010 cd 8e 11 f6 1a 32 24 1e 6f df 9a |.....2$.o..| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 3b 0f 40 64 9f ff 8f b9 85 18 af |.....;.@d.......| -00000010 b4 bc e7 33 8a 9b 03 de ed |...3.....| +00000000 16 03 03 00 14 f4 f5 12 05 bb 51 00 24 2f 3a 38 |..........Q.$/:8| +00000010 9b 07 9f d4 ee ce 77 59 ee |......wY.| >>> Flow 7 (client to server) -00000000 16 03 03 01 16 17 a7 61 5b 22 97 6e eb dd 43 84 |.......a[".n..C.| -00000010 b9 ac 15 c2 76 7d 1f c0 e3 46 11 af c0 59 7d cc |....v}...F...Y}.| -00000020 d4 5d 02 90 28 bb b3 7c 85 76 46 34 7c bf 2b bf |.]..(..|.vF4|.+.| -00000030 c4 e9 e1 46 b0 15 7e af c1 03 4a 17 b3 7a 03 cd |...F..~...J..z..| -00000040 e0 90 b1 1b 59 ac 1f 33 b0 41 c3 47 ee 58 af 5b |....Y..3.A.G.X.[| -00000050 5b c4 7a 92 02 e2 34 8d cd 70 20 c4 59 5e 25 f2 |[.z...4..p .Y^%.| -00000060 28 b1 f2 a5 e0 c4 f9 d0 ae cc 2b 1e ea d4 5a fe |(.........+...Z.| -00000070 62 97 bc d7 57 94 5c b8 ce 4c 62 1a e5 29 02 1e |b...W.\..Lb..)..| -00000080 0e 68 1d 8a 17 f9 47 55 ac 65 cf 13 88 d3 95 0d |.h....GU.e......| -00000090 d7 e0 d8 03 f8 f6 6f 9c 5b de 5c 80 c3 34 7e 82 |......o.[.\..4~.| -000000a0 5c 8b c4 a3 99 c8 1e f0 f2 e5 6e 73 40 62 31 8e |\.........ns@b1.| -000000b0 3b 08 62 ba a8 b9 18 c4 84 a0 b4 9f 68 81 2f ae |;.b.........h./.| -000000c0 8d 7c cc 54 ba 4a ec 26 a5 8a 9b a7 bd 36 17 2c |.|.T.J.&.....6.,| -000000d0 52 69 4c 57 81 64 e6 34 88 27 81 d2 32 eb d2 8d |RiLW.d.4.'..2...| -000000e0 4d 8d c1 8b 14 b3 07 19 63 f8 d6 4a 9a 7d 3f c1 |M.......c..J.}?.| -000000f0 af 18 72 f7 2d c8 7e 82 52 28 51 80 59 0c 9b 9f |..r.-.~.R(Q.Y...| -00000100 ac 40 69 25 0e 6d d7 4a 72 b5 18 f8 78 b9 52 c3 |.@i%.m.Jr...x.R.| -00000110 d6 32 6c 7d 29 70 a8 33 18 d0 4b |.2l})p.3..K| +00000000 16 03 03 01 18 d8 f1 5d f6 d5 7f fe b7 43 8e 0a |.......].....C..| +00000010 d7 77 2c 5e b5 83 f0 29 99 19 96 1d c8 42 e7 01 |.w,^...).....B..| +00000020 20 5d 4b af 0f e7 b5 b7 a0 83 68 59 eb b0 1a 85 | ]K.......hY....| +00000030 b1 c7 23 42 a7 77 f3 66 5e 6b 31 1d 49 60 4c ad |..#B.w.f^k1.I`L.| +00000040 db e5 f4 ca f3 62 6f 15 b6 25 28 07 03 50 d4 4b |.....bo..%(..P.K| +00000050 3a 6d 25 d6 35 c9 e5 06 04 c9 15 7a 52 05 13 d1 |:m%.5......zR...| +00000060 ee c8 fe 54 3b ae db fe 61 7f b1 97 4b 48 94 91 |...T;...a...KH..| +00000070 76 7c de 5d 9f da b5 04 fa 02 b6 f5 7b f9 82 c8 |v|.]........{...| +00000080 68 ab b9 97 4c b8 a1 6b 43 f9 a5 36 4c 52 fd 23 |h...L..kC..6LR.#| +00000090 7a 46 6b 25 67 55 e0 b8 4a cd 3f 7c fa 81 1e a8 |zFk%gU..J.?|....| +000000a0 e9 5a 6c 53 46 d9 05 46 c1 3f 84 94 c9 3a 7f fb |.ZlSF..F.?...:..| +000000b0 3c 03 c4 07 2f bb 5b 17 8f 0e fb 86 a4 53 26 0c |<.../.[......S&.| +000000c0 86 41 11 9d 49 b5 d9 30 84 07 59 fd ac 08 98 1e |.A..I..0..Y.....| +000000d0 08 f4 c9 32 36 9c 0f 9d b3 5a cd cf 80 d3 a8 4d |...26....Z.....M| +000000e0 12 ca a2 37 83 fd d2 f8 da ca 4a 1d 52 f4 99 49 |...7......J.R..I| +000000f0 4f 89 b5 de b3 90 f9 b4 e2 53 24 e5 f5 88 37 91 |O........S$...7.| +00000100 4b 5e 41 b9 a9 b4 72 d1 d2 ea 39 05 f1 25 12 da |K^A...r...9..%..| +00000110 c0 36 5c 2c 63 b1 34 cf f3 a0 bd 34 08 |.6\,c.4....4.| >>> Flow 8 (server to client) -00000000 16 03 03 00 81 8b e2 a1 f5 15 55 13 f6 f2 fa 95 |..........U.....| -00000010 3b bb 0f 3d 3e 9b 3c b1 60 cb 69 7f 63 62 2d 9b |;..=>.<.`.i.cb-.| -00000020 20 47 3a 7d 5e d0 98 38 49 c3 94 f8 1d 56 1d 69 | G:}^..8I....V.i| -00000030 27 65 bc ca 63 22 65 61 60 67 49 35 f0 eb 83 1b |'e..c"ea`gI5....| -00000040 44 c4 f0 91 64 5a 81 b5 06 4b 3e 3a ef 3b 5c b0 |D...dZ...K>:.;\.| -00000050 81 b4 36 df f3 0d a3 0a 1c 40 03 fa 81 48 42 70 |..6......@...HBp| -00000060 bf 4c b3 6b 67 19 7b 83 05 a1 31 a3 1c 79 49 2c |.L.kg.{...1..yI,| -00000070 1f 58 bc 7d 98 4e 5b 64 44 3d 3c 43 fb 77 c7 7c |.X.}.N[dD=l.c[.| -000003c0 f0 c6 3a 58 e0 6c 6b 70 46 d0 be 6f 13 34 7a 30 |..:X.lkpF..o.4z0| -000003d0 e6 e4 b2 fd 39 ee 79 b1 7e 73 5e 9b 2d d9 3f 4f |....9.y.~s^.-.?O| -000003e0 61 d5 53 37 79 57 15 a3 3a 7c b7 02 cc 76 25 1d |a.S7yW..:|...v%.| -000003f0 96 8b dd 9e 32 8b 1a 9e 37 b1 1a b8 f2 4f ef 3c |....2...7....O.<| -00000400 78 e1 b9 07 16 03 03 00 14 bf da c1 d4 16 fd 48 |x..............H| -00000410 a9 ad 59 6d 8c dc e1 6c fd 73 ca 9c 1b |..Ym...l.s...| +00000000 16 03 03 00 81 15 a5 6e 6f 6a 9e a9 10 78 36 70 |.......noj...x6p| +00000010 5d 4c a5 31 6d 68 25 78 d2 38 a9 6b 91 a4 c3 ad |]L.1mh%x.8.k....| +00000020 3b e7 09 16 06 33 b0 8e 26 f9 d3 f2 69 0f 45 c7 |;....3..&...i.E.| +00000030 fb 62 0b af 33 03 f3 f4 30 db b5 47 9e 3d 5e 4c |.b..3...0..G.=^L| +00000040 57 f5 df 2d 01 61 b5 bb 05 b2 f6 2c 8c 10 1d 6c |W..-.a.....,...l| +00000050 de d8 5b 8d 3b 97 eb d7 47 85 03 e6 70 2d 52 e2 |..[.;...G...p-R.| +00000060 2c d0 68 1f 1a c9 a6 32 9a e3 6a 13 5f 4a be dd |,.h....2..j._J..| +00000070 d0 a1 73 b4 8a d8 b8 f0 a5 88 32 67 b9 42 33 88 |..s.......2g.B3.| +00000080 14 0a c1 6a 06 6f 16 03 03 02 69 8d 31 02 ed 53 |...j.o....i.1..S| +00000090 15 33 3e be 26 2b d5 2b b4 1a cf 1f 59 2d 70 eb |.3>.&+.+....Y-p.| +000000a0 ec b3 e1 9e e6 67 ec 7d 97 44 d4 b1 9a 01 ba 7f |.....g.}.D......| +000000b0 a8 e0 f9 ef 6f 92 fe 43 62 36 07 b8 42 8e a5 88 |....o..Cb6..B...| +000000c0 90 8c 17 7f a3 8d 71 04 97 38 1c 21 3b 0f 44 bd |......q..8.!;.D.| +000000d0 c7 aa 63 50 3b 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+00000110 5c 13 ad 1c 78 a2 60 e1 a2 36 b4 65 26 7d 83 d1 |\...x.`..6.e&}..| +00000120 ad 72 89 cf 4a f1 e7 5d aa 2f ef 94 b1 80 75 b8 |.r..J..]./....u.| +00000130 4e 93 19 9d d3 91 d2 36 5a e0 f9 f2 24 6b 9d ed |N......6Z...$k..| +00000140 0c 2f d1 63 b3 e2 19 f3 b4 fc 3f 47 d7 26 63 33 |./.c......?G.&c3| +00000150 92 82 b6 a5 42 e3 2b d0 14 38 28 b8 0e a3 1a ad |....B.+..8(.....| +00000160 bc db 3d 84 76 a4 ac 76 61 fe 8e 14 4c 5e fb ec |..=.v..va...L^..| +00000170 db 33 f6 14 6d 12 f9 ed 57 10 b6 d3 12 9a 1a 0e |.3..m...W.......| +00000180 af db 12 85 01 31 4b e0 c9 2c bb f7 c6 f6 4d 98 |.....1K..,....M.| +00000190 71 eb 75 b6 e5 cb 97 23 f8 a7 36 eb 5d 01 01 56 |q.u....#..6.]..V| +000001a0 cb 68 87 e2 c0 24 ef 3f fb 0f 24 a7 0c e3 51 18 |.h...$.?..$...Q.| +000001b0 8e 08 77 b3 7b e5 38 ee c6 05 3e 33 66 66 67 a9 |..w.{.8...>3ffg.| +000001c0 3c f5 e6 1b 6f 80 4d dd 1a 35 a5 24 30 e2 3f d8 |<...o.M..5.$0.?.| +000001d0 d4 38 ce 98 b3 1f 3b 78 28 cb df 03 46 26 fd 6c |.8....;x(...F&.l| +000001e0 ab d1 ee 28 b7 63 6b d5 02 5a 47 d6 0e 8c 05 04 |...(.ck..ZG.....| +000001f0 ea db 8c 2c 23 37 44 d5 83 45 72 40 d6 8d ba e7 |...,#7D..Er@....| +00000200 a5 fb 56 d1 6b f2 e4 63 e6 4e 5e 77 c2 1a 2f d3 |..V.k..c.N^w../.| +00000210 fe 61 1b 4e 76 47 d1 d8 66 b4 bd 52 22 8b 30 60 |.a.NvG..f..R".0`| +00000220 7c 09 b4 34 6d 10 d7 11 aa 09 32 4c 02 56 dc 65 ||..4m.....2L.V.e| +00000230 49 77 3f e8 d4 01 c3 de 81 14 d6 d0 8a 92 af d0 |Iw?.............| +00000240 b2 12 f8 84 01 dc c7 2e 2a 7d dd 1e 0e b0 33 7e |........*}....3~| +00000250 20 d3 e4 2c 4e b7 5e 18 34 c4 72 cc 7b 15 01 60 | ..,N.^.4.r.{..`| +00000260 66 84 6c 9f 97 51 57 ab 65 4c 8e 13 7f 0a 16 03 |f.l..QW.eL......| +00000270 03 00 35 2a 8d d3 d1 3d 04 d5 7a f8 ea 45 1e 7e |..5*...=..z..E.~| +00000280 c3 48 21 e4 f4 e6 ca 5e 85 a3 f5 c1 06 d1 3f bf |.H!....^......?.| +00000290 8d ef 28 eb a5 50 65 8f 24 af 07 12 bf 32 04 f0 |..(..Pe.$....2..| +000002a0 fc 19 a0 0f b6 e0 95 c1 16 03 03 00 98 41 b7 65 |.............A.e| +000002b0 ca cb 65 36 66 49 27 10 c8 4c d2 e7 cc 85 91 8d |..e6fI'..L......| +000002c0 86 c9 38 82 98 d1 d6 7a e9 62 56 92 d3 23 28 5b |..8....z.bV..#([| +000002d0 d2 eb e8 4b da e4 f9 66 0c 91 49 20 3c a1 96 e2 |...K...f..I <...| +000002e0 2d c3 89 39 ce b8 6c af 74 b3 45 26 eb b1 02 5c |-..9..l.t.E&...\| +000002f0 98 6a 4c 45 bc 4c 88 b3 c0 2e a8 f9 74 68 a5 8a |.jLE.L......th..| +00000300 14 ec f5 22 61 a5 44 eb ee d3 e4 bb 37 7f 91 92 |..."a.D.....7...| +00000310 55 e9 f5 de 4e df 16 9c 0e 7d f5 64 4b f2 e8 9c |U...N....}.dK...| +00000320 48 16 53 32 ec b0 4e 93 c8 f2 68 9e e9 dc 87 b3 |H.S2..N...h.....| +00000330 49 08 a1 04 e5 d5 0e 2a 84 d7 da b7 6b 1f 0e 25 |I......*....k..%| +00000340 86 b0 27 89 da 14 03 03 00 11 99 63 0b 7d d5 ea |..'........c.}..| +00000350 9f 3d 6d 69 5b 93 45 e5 6d d9 3f 16 03 03 00 20 |.=mi[.E.m.?.... | +00000360 16 50 d1 43 11 80 6c 6b 1d 1c 26 0f 3c ff 3d dc |.P.C..lk..&.<.=.| +00000370 76 17 3b 06 53 6f 4e 96 27 9a 3f 30 f6 c4 5e 89 |v.;.SoN.'.?0..^.| >>> Flow 10 (server to client) -00000000 14 03 03 00 11 45 8e f9 74 04 d0 44 c6 94 80 60 |.....E..t..D...`| -00000010 c1 50 7d b2 64 76 16 03 03 00 20 d5 65 8a b9 26 |.P}.dv.... .e..&| -00000020 54 70 26 de c6 8a 8f 61 a3 b1 9e 8b 49 40 f7 24 |Tp&....a....I@.$| -00000030 4f 75 e0 94 e6 e7 68 51 38 8a 37 17 03 03 00 19 |Ou....hQ8.7.....| -00000040 42 7e 5a e2 46 7b ba 7d 0d 07 20 2a c0 56 fe aa |B~Z.F{.}.. *.V..| -00000050 01 eb ca d2 29 1d ff 85 10 |....)....| +00000000 14 03 03 00 11 8a 6a df 1c 25 5d 2e aa 66 0a e2 |......j..%]..f..| +00000010 8e 46 ea ec ea 08 16 03 03 00 20 d7 43 e1 6a b4 |.F........ .C.j.| +00000020 c3 17 5f 1a 88 b2 f2 96 94 ec 90 92 3f 0a 1d 78 |.._.........?..x| +00000030 20 19 b6 14 37 c7 f7 be 18 61 20 17 03 03 00 19 | ...7....a .....| +00000040 93 5d d9 d9 79 b0 a2 87 38 10 31 6b c8 cf 75 57 |.]..y...8.1k..uW| +00000050 22 4a a2 ee 63 12 37 27 e6 |"J..c.7'.| >>> Flow 11 (client to server) -00000000 15 03 03 00 12 1d 01 c7 d5 d5 d1 ce 8c 52 15 8f |.............R..| -00000010 75 1e 97 fa 38 5c 65 |u...8\e| +00000000 15 03 03 00 12 18 50 20 aa 14 12 a5 c4 47 8c 35 |......P .....G.5| +00000010 bd a0 2c aa 94 56 29 |..,..V)| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice index 006e2d7cef8..5c362194710 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 47 d0 f5 d9 f0 |....Y...U..G....| -00000010 59 d1 bf 28 d0 39 36 c0 bc d1 25 fd 5a 63 18 06 |Y..(.96...%.Zc..| -00000020 1e 8a 5c a6 6f d0 f9 b4 02 23 e1 20 df a0 2a 74 |..\.o....#. ..*t| -00000030 1a 52 8b d9 90 01 c2 86 69 12 b8 13 58 aa 59 b0 |.R......i...X.Y.| -00000040 66 79 ff 01 9b 9a 72 1c a6 83 e6 91 cc a8 00 00 |fy....r.........| +00000000 16 03 03 00 59 02 00 00 55 03 03 9f 07 9c 60 cb |....Y...U.....`.| +00000010 16 fd ae cc 36 c7 a6 ef 4f 3d 0c 91 7e 7e d2 93 |....6...O=..~~..| +00000020 cf bb f7 06 6f 9e a7 30 ff 33 b6 20 af 89 68 f5 |....o..0.3. ..h.| +00000030 c3 d1 ce 72 68 9b ec 62 ef 71 55 26 f2 b6 a6 a6 |...rh..b.qU&....| +00000040 56 30 ac f5 70 d2 14 2b a6 bc fc 40 cc a8 00 00 |V0..p..+...@....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,284 +61,284 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 20 97 bd 85 2f cb 85 |........ .../..| -000002d0 be a8 9c e3 ae 6b 23 a5 5b 18 65 5c f5 cc 24 2b |.....k#.[.e\..$+| -000002e0 34 2c 5f c8 4d e9 86 35 0b 08 04 00 80 d2 b6 ee |4,_.M..5........| -000002f0 86 76 aa 1d 9c 1c ee ef 0e 59 63 1d ec f1 cf a1 |.v.......Yc.....| -00000300 f3 5b 6d da 99 9c 40 07 bf 28 ad 72 cd 80 6c 9d |.[m...@..(.r..l.| -00000310 bf a2 20 33 2d d0 67 ef 90 28 88 2b d0 8e c6 9d |.. 3-.g..(.+....| -00000320 87 7a 18 8f 80 ce 25 92 13 8d ef 38 0a 14 f9 67 |.z....%....8...g| -00000330 88 94 ef af 97 d2 21 90 9e 24 2f af 1e bb fa 10 |......!..$/.....| -00000340 4c a7 9f f5 27 63 e6 d8 1a 86 53 c6 3c 15 a8 6c |L...'c....S.<..l| -00000350 b9 bc 8f c4 38 1a 4b 34 36 ec af b2 1e d0 bf 58 |....8.K46......X| -00000360 74 36 ad fb e4 f0 fd 9d 6d 01 cf 51 6c 16 03 03 |t6......m..Ql...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 4c d2 95 89 27 95 af |........ L...'..| +000002d0 74 14 e7 ac a8 37 f0 30 ef d5 90 fd 92 46 5c 8b |t....7.0.....F\.| +000002e0 71 8a 65 c7 07 cf 2d 62 63 08 04 00 80 0e 92 28 |q.e...-bc......(| +000002f0 07 eb f5 05 5b 4c 7e 2a fe b6 66 c9 77 80 1f c7 |....[L~*..f.w...| +00000300 ba 60 b5 74 87 b3 a3 62 ff 78 c9 f3 2f ed 10 9b |.`.t...b.x../...| +00000310 5a 3c 6a 3b 56 6e 08 ac c1 f4 bd 9c 79 93 e7 ba |Z>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 e8 d5 df da 49 9a 94 10 30 90 81 |.... ....I...0..| -00000040 c6 19 54 d4 0d e2 0d e0 d9 a3 c0 21 7f a6 d1 cc |..T........!....| -00000050 ea 75 2e 17 01 |.u...| +00000030 16 03 03 00 20 e4 b4 16 c4 13 f0 ab 73 36 9d 1e |.... .......s6..| +00000040 64 a1 2b 5d b3 25 b9 ab 02 44 5b 92 d5 e5 82 b5 |d.+].%...D[.....| +00000050 b0 62 24 e2 dd |.b$..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 f3 92 03 fb 7b |.......... ....{| -00000010 0f 32 0b 5b dd 9e eb c3 26 2c 92 4d 58 35 a8 96 |.2.[....&,.MX5..| -00000020 74 d6 d8 0f 61 b2 7d b6 8d ec e6 |t...a.}....| +00000000 14 03 03 00 01 01 16 03 03 00 20 ab 7d 20 65 58 |.......... .} eX| +00000010 0a 5a ed 89 2b 00 3f 6a d6 b7 40 52 b4 5a 66 22 |.Z..+.?j..@R.Zf"| +00000020 db 2f cf 04 b5 93 ea 26 34 96 4c |./.....&4.L| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 ab 69 44 d0 fe 95 93 ae f9 1b d7 |......iD........| -00000010 33 6c 59 a5 41 cc d2 1b ca 2c 63 |3lY.A....,c| +00000000 17 03 03 00 16 67 8a 7b 23 55 d0 f9 a3 d7 25 5c |.....g.{#U....%\| +00000010 5f 8a 2b a3 84 8c 67 5f 6f 84 ed |_.+...g_o..| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 99 96 92 c4 82 c8 27 77 a6 f4 ca |...........'w...| -00000010 e5 5b ff 78 bc 54 b6 d7 cd |.[.x.T...| +00000000 16 03 03 00 14 e1 f2 b0 36 46 e9 88 ea 8d 75 02 |........6F....u.| +00000010 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-00000220 f4 ea 2e bb fa ca 1e 00 53 75 70 de 0a 72 eb 55 |........Sup..r.U| -00000230 ab b7 ff 30 ad 5e 7e 13 90 75 42 5d 07 07 21 0f |...0.^~..uB]..!.| -00000240 db a6 f4 61 9c bf 31 34 e4 98 bb c4 ac 41 2d 76 |...a..14.....A-v| -00000250 fb 6c 30 b0 e2 98 5f ed d9 a8 42 d7 75 a1 bc 36 |.l0..._...B.u..6| -00000260 f2 3e c5 ac 50 ae c7 2e 42 35 6c 1a 47 aa 1f 0a |.>..P...B5l.G...| -00000270 2f ff 6e 0a a5 c4 b5 a5 92 3f 54 d0 4e 62 6e 3e |/.n......?T.Nbn>| -00000280 cb 07 2d 4d 1a fb 94 5b f8 d0 5b 26 34 2b 1b 26 |..-M...[..[&4+.&| -00000290 8c dd 91 a7 66 21 89 d0 11 24 a5 5f 99 ae 62 84 |....f!...$._..b.| -000002a0 34 9c d2 45 71 74 8c 68 db 8b ad 6f df 08 35 38 |4..Eqt.h...o..58| -000002b0 ed 5c 3b 3e 55 a1 c3 16 b6 61 f4 4d 6d d0 2a 5d |.\;>U....a.Mm.*]| -000002c0 10 fb 64 c9 6f 87 6f 3d ff d1 a0 97 64 b4 12 f9 |..d.o.o=....d...| -000002d0 2a a8 46 59 1b e4 6b d8 c9 3e ac 14 00 4f 1a e6 |*.FY..k..>...O..| -000002e0 26 9b 86 32 a3 9b 37 eb c1 cf 9a 70 16 2e 4a b0 |&..2..7....p..J.| -000002f0 6e e5 fc c2 16 03 03 00 bc bf c4 ea e0 dc be fe |n...............| -00000300 33 7f ef 2b d9 50 f7 87 d5 30 2b 09 bb 63 1e 4c |3..+.P...0+..c.L| -00000310 9c 3c a9 10 4e 04 e1 85 29 44 f9 ea 32 61 12 6e |.<..N...)D..2a.n| -00000320 63 0f d9 e7 e9 c8 81 a0 eb 4e fe 90 bf f4 f4 af |c........N......| -00000330 22 66 21 86 dc 2c f6 ed b1 be eb b1 ac 14 f5 ce |"f!..,..........| -00000340 6c b9 a8 45 e4 3f 09 d1 b1 f3 69 f7 df c4 f0 6c |l..E.?....i....l| -00000350 48 f6 15 80 8a b8 b0 39 0e e9 22 9a 5c 72 f9 fa |H......9..".\r..| -00000360 95 01 9d ca e4 68 ef 72 e2 34 28 a5 04 5d d2 30 |.....h.r.4(..].0| -00000370 c6 33 80 a8 f1 8f fb 6c ec 15 c3 7c 68 7c a2 2e |.3.....l...|h|..| -00000380 4d ba 64 af fb f5 b8 f7 6b 6b 8c 5c 56 dc dd 69 |M.d.....kk.\V..i| -00000390 39 d8 73 75 e3 be 17 09 3f 80 ed cc 12 5b ca d9 |9.su....?....[..| -000003a0 e6 e2 50 88 41 0b 39 8e 84 6f fb 6a c3 8e 4f fc |..P.A.9..o.j..O.| -000003b0 dc 18 ca 02 18 16 03 03 00 14 5e ac 52 4d 0b 89 |..........^.RM..| -000003c0 33 7d fe 1c d9 b5 1d 1c 2b 6d d4 4f 12 33 |3}......+m.O.3| +00000000 16 03 03 00 81 0d 9d 0f b8 59 83 11 54 5e 03 7f |.........Y..T^..| +00000010 3b 64 68 09 a7 ba ce 97 f8 07 e1 dd 72 71 27 24 |;dh.........rq'$| +00000020 60 ca f6 29 c1 bc 94 34 f8 6d 8a b5 81 66 99 92 |`..)...4.m...f..| +00000030 d0 a0 b3 96 5c 65 ad 46 f3 4f 76 f4 8e d9 e2 41 |....\e.F.Ov....A| +00000040 79 4e ab f9 03 36 a9 ce c1 26 21 69 d4 38 28 9a |yN...6...&!i.8(.| +00000050 ef b8 1b fc 11 87 23 bc 99 33 3f 64 f8 9a d6 5a |......#..3?d...Z| +00000060 d6 c8 94 3c 16 ca 44 f3 43 c2 a9 43 0b 50 6c b2 |...<..D.C..C.Pl.| +00000070 6a ff 0b d2 b5 3d 01 16 fd 44 bd 20 85 e5 22 ab |j....=...D. ..".| +00000080 42 12 9f 6a 43 1e 16 03 03 02 69 73 41 56 4a 4e |B..jC.....isAVJN| +00000090 c6 ea 79 9e 1f 95 4e 87 7e eb 94 7f cd f3 68 d9 |..y...N.~.....h.| +000000a0 3c 51 f9 5a 69 bb 2c 99 82 0d 33 21 a7 2f 57 d8 |3V.IZ.S..| +000000f0 6a e6 eb 83 54 2b 75 b3 cc f0 4c 16 fa 0f 88 14 |j...T+u...L.....| +00000100 22 d9 14 cc 6f f5 8a ad f7 30 9e 2a 81 7d 08 2f |"...o....0.*.}./| +00000110 39 b9 b9 9f 87 54 ec bf 2f 32 cb 98 02 3b 9b 52 |9....T../2...;.R| +00000120 b9 0b 57 0f a1 e6 c0 8b 96 7c 60 7f bc 30 c1 34 |..W......|`..0.4| +00000130 1b 2d ca a9 6e 15 eb 50 f0 66 09 02 1f 00 f4 37 |.-..n..P.f.....7| +00000140 2c f0 58 0e 80 13 b7 d9 83 a1 c1 44 80 b2 01 04 |,.X........D....| +00000150 f7 b1 59 5e f2 0d 2a cd 8d 2e ea 19 bd 04 ef c3 |..Y^..*.........| +00000160 08 7d 9a e7 ac 33 7a 1e 1f 3a 40 29 d8 ef 33 78 |.}...3z..:@)..3x| +00000170 0c 8a 55 c5 3b a2 ff 61 ed 7b ba 4c 81 0b 43 de |..U.;..a.{.L..C.| +00000180 c5 a9 5d 74 b3 d3 b0 66 2e 4c 34 63 9d 44 d1 ce |..]t...f.L4c.D..| +00000190 b9 31 f8 f7 c8 2b 01 94 26 c9 a4 8e 37 64 ee 86 |.1...+..&...7d..| +000001a0 cd 65 fc 9d 16 4d f5 b0 83 e2 d3 23 64 c1 28 cd |.e...M.....#d.(.| +000001b0 c9 af a3 14 6e 65 90 dc f4 8b 2d ee a8 ce 25 b3 |....ne....-...%.| +000001c0 cc ff dd d7 97 38 15 6d 96 cb e8 fd 59 df 76 19 |.....8.m....Y.v.| +000001d0 7b d4 95 cf b6 82 e6 ce 51 43 a0 78 42 c4 c7 27 |{.......QC.xB..'| +000001e0 12 1c 60 f1 1b c5 cb 57 f3 98 cc c4 77 1b 8b c1 |..`....W....w...| +000001f0 14 da 2c c2 9e 16 bb 32 0b f9 1b ff 93 c3 aa b5 |..,....2........| +00000200 e9 14 d3 bd 74 10 86 a4 4f 83 fe a6 b9 57 2a d8 |....t...O....W*.| +00000210 a9 5f a1 a5 7a f2 d3 40 49 ce 29 da 4e b5 45 8c |._..z..@I.).N.E.| +00000220 45 5d c4 86 39 59 22 39 56 59 41 65 a0 e9 e8 11 |E]..9Y"9VYAe....| +00000230 d1 84 8f ec b0 f9 8e 7a 22 d3 25 fb 73 22 e8 f3 |.......z".%.s"..| +00000240 09 0d 38 32 f4 33 56 89 9d ea 2a 41 36 56 7d 16 |..82.3V...*A6V}.| +00000250 8e 38 c3 52 63 0c fe f2 52 99 d7 27 e4 d8 af bb |.8.Rc...R..'....| +00000260 35 d6 35 fc f1 18 93 9d 74 d7 60 b9 c1 ab 43 80 |5.5.....t.`...C.| +00000270 78 88 7a 95 cc 11 d8 81 ea 61 56 f4 de f5 7a 3d |x.z......aV...z=| +00000280 d4 4d d7 a3 d7 6a 82 8d 0f 50 ed 2b 57 1b 02 d9 |.M...j...P.+W...| +00000290 76 a4 18 10 9d 3a 73 e7 b0 bd e9 5c 82 e9 3b 70 |v....:s....\..;p| +000002a0 af f4 91 1c 54 21 66 4f 9d e1 b7 43 8f a5 04 f8 |....T!fO...C....| +000002b0 39 45 77 32 64 10 50 42 3a 14 27 95 d8 99 68 c6 |9Ew2d.PB:.'...h.| +000002c0 0d 55 d9 fe 1d c3 f1 da 63 52 45 9e f3 fb 0f 55 |.U......cRE....U| +000002d0 05 3f d1 22 df c6 37 5c d0 0b 23 cf ea 4b 40 ab |.?."..7\..#..K@.| +000002e0 9f 73 d2 42 21 d5 d6 ce 71 e8 4c 89 2f 7d 6f 61 |.s.B!...q.L./}oa| +000002f0 35 e5 bf 8a 16 03 03 00 bc 45 ce 3e de 85 da 7e |5........E.>...~| +00000300 01 f5 4a 2e af b9 02 86 72 fb 1b 89 c5 60 b6 22 |..J.....r....`."| +00000310 9f 8b a9 e1 6c 0f 31 a0 95 21 21 62 e7 f5 ef 3f |....l.1..!!b...?| +00000320 b2 61 78 5e a8 f2 81 be 62 e0 ea 59 2e 91 c6 7c |.ax^....b..Y...|| +00000330 34 4b 94 fb d4 3c d9 b4 6a e7 ec bf 8c 71 ea 3b |4K...<..j....q.;| +00000340 0e 0f a0 0e 97 49 70 bd 57 92 8d 6c e8 f8 f8 cd |.....Ip.W..l....| +00000350 a3 b0 2a 2b cc a0 8d c3 c2 31 91 f7 bb 98 dd 08 |..*+.....1......| +00000360 8e 33 b0 11 aa 0f d7 45 ff 87 99 9c 52 f2 99 73 |.3.....E....R..s| +00000370 25 a5 89 1e 07 03 a7 73 4f 4f 71 d4 61 48 77 04 |%......sOOq.aHw.| +00000380 c3 69 13 f3 bb 18 cb ff f5 6c 3b a0 93 86 b1 ec |.i.......l;.....| +00000390 52 5d 1e 8d 5c 0c e3 2c 7e 04 08 58 06 3a 9b 15 |R]..\..,~..X.:..| +000003a0 3b 2b 69 ed 12 e9 9d 2e de 3d b0 b5 ea 18 b2 08 |;+i......=......| +000003b0 39 f6 1c be 87 16 03 03 00 14 06 01 a9 7a d1 01 |9............z..| +000003c0 58 0c 85 a6 3f 49 45 ac b3 c1 53 d2 a3 92 |X...?IE...S...| >>> Flow 13 (client to server) -00000000 16 03 03 00 35 a4 b8 43 07 6e 71 c9 b4 fa e1 9c |....5..C.nq.....| -00000010 a7 9d 0b 47 d8 ea 8b bd ea c2 f5 bf 36 fa 88 95 |...G........6...| -00000020 3b 98 b3 7e 19 21 9b 0f 58 76 e8 de 5b 24 d3 b5 |;..~.!..Xv..[$..| -00000030 81 bd 11 ce 86 02 b0 d1 3b ac 14 03 03 00 11 3f |........;......?| -00000040 4e a4 96 06 71 44 5f 57 30 5e 1a bc 22 8d 42 97 |N...qD_W0^..".B.| -00000050 16 03 03 00 20 23 e7 90 a5 0a 32 b4 69 06 d7 77 |.... #....2.i..w| -00000060 df ef f6 2f b8 d8 22 39 08 4f 39 02 e0 7f 62 93 |.../.."9.O9...b.| -00000070 02 b9 8e a5 b6 |.....| +00000000 16 03 03 00 35 f1 36 18 1a 14 08 b0 5a 70 bd b3 |....5.6.....Zp..| +00000010 bc 5d b1 df 2f 6d 0a c3 46 ef 15 94 a4 56 47 d7 |.]../m..F....VG.| +00000020 f8 8b 3d e6 89 d2 d3 c1 b1 ed c5 90 c9 0e 64 d1 |..=...........d.| +00000030 28 42 30 0c 11 f8 da 5a a0 56 14 03 03 00 11 99 |(B0....Z.V......| +00000040 77 c0 c8 27 f9 bb 7c b2 0c 47 af 49 04 6f ba c3 |w..'..|..G.I.o..| +00000050 16 03 03 00 20 a7 c7 01 3a fa 0f a6 12 43 10 18 |.... ...:....C..| +00000060 e1 0b 0c 9a e1 06 f8 83 14 4d 56 74 29 b5 db 65 |.........MVt)..e| +00000070 fd 8a 20 2c ed |.. ,.| >>> Flow 14 (server to client) -00000000 14 03 03 00 11 0e 2d 1e 73 95 29 15 86 03 a2 da |......-.s.).....| -00000010 6c f4 d2 02 2c 57 16 03 03 00 20 cd a2 f5 b6 da |l...,W.... .....| -00000020 0c 35 45 96 54 c3 96 5d d8 e6 03 49 7b 5c d4 6f |.5E.T..]...I{\.o| -00000030 02 da 27 9e 2f a7 09 57 1b de 7b 17 03 03 00 19 |..'./..W..{.....| -00000040 18 06 7d aa 5c 93 a9 b3 d3 14 0b 76 78 a2 57 73 |..}.\......vx.Ws| -00000050 2f a3 4f 66 c4 b3 ee 21 95 |/.Of...!.| +00000000 14 03 03 00 11 50 08 b0 03 54 e2 68 1a a1 43 14 |.....P...T.h..C.| +00000010 ed bd c7 c7 72 26 16 03 03 00 20 d9 b9 9e 70 60 |....r&.... ...p`| +00000020 7f c6 91 a7 22 b7 c0 3f 9c f0 17 4d 41 4f 0e 09 |...."..?...MAO..| +00000030 da 1d a6 3e c6 18 5b 19 20 75 31 17 03 03 00 19 |...>..[. u1.....| +00000040 b4 b3 bc 4b 55 e5 44 ad 1e 45 eb 78 10 31 31 b2 |...KU.D..E.x.11.| +00000050 1b b9 6a 7d 90 8c 6e c5 26 |..j}..n.&| >>> Flow 15 (client to server) -00000000 15 03 03 00 12 55 f7 2f b2 a2 e7 59 6c f6 a9 2d |.....U./...Yl..-| -00000010 d1 17 88 01 49 c6 f2 |....I..| +00000000 15 03 03 00 12 2c 47 dd 4e 24 ea 41 2f 47 ff ca |.....,G.N$.A/G..| +00000010 b1 fa 3e 96 9d 66 14 |..>..f.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected index 441fa0fd2aa..a2b034a033a 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 bb ec 39 c5 f2 |....Y...U....9..| -00000010 dd a8 26 56 80 09 60 f5 d8 0a 93 6d 08 c4 30 c2 |..&V..`....m..0.| -00000020 cf 0c 44 86 49 a3 19 84 20 38 98 20 0d 8b 81 b5 |..D.I... 8. ....| -00000030 a7 42 37 27 1b 9c be 36 8f 9b 49 31 4f 73 67 a7 |.B7'...6..I1Osg.| -00000040 78 9f 46 e5 9e 3b 45 ff e9 16 11 ca cc a8 00 00 |x.F..;E.........| +00000000 16 03 03 00 59 02 00 00 55 03 03 3d 80 a2 3a 26 |....Y...U..=..:&| +00000010 16 79 b3 02 ba 51 ae dc 85 f2 3a 39 f5 58 2d 29 |.y...Q....:9.X-)| +00000020 0a 1e eb 3c f0 c6 19 f9 5a d9 45 20 5c 17 25 57 |...<....Z.E \.%W| +00000030 cd 65 ed 32 f9 00 e7 e0 8c fb b5 82 f3 bf b4 d2 |.e.2............| +00000040 66 d1 fa f7 14 89 4d d5 35 fc af fa cc a8 00 00 |f.....M.5.......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,188 +61,188 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 2f ad 87 a5 c9 9e c7 |........ /......| -000002d0 f6 f1 05 9a 44 97 57 34 6b 3a 30 54 4c 0e 47 5e |....D.W4k:0TL.G^| -000002e0 16 d3 c9 c2 25 a8 47 e5 63 08 04 00 80 9f 54 b4 |....%.G.c.....T.| -000002f0 c1 aa bb 15 07 5c b1 52 ef bd 26 fa ec ce 70 31 |.....\.R..&...p1| -00000300 90 fb f5 4d d2 26 0c 64 6f b3 9f 7f 27 c7 a5 b2 |...M.&.do...'...| -00000310 d1 6d cf 0e 9c 91 e3 c4 20 f7 e3 ae 95 ff 6d ce |.m...... .....m.| -00000320 80 b5 30 89 6c a2 dd 31 26 5b 24 19 7a 30 f7 43 |..0.l..1&[$.z0.C| -00000330 71 a8 e9 1a 27 ee 46 86 44 56 b1 f3 2e e1 bd d5 |q...'.F.DV......| -00000340 79 99 34 0c 9b 01 e6 bb 0f ad 96 4a 68 0f 10 79 |y.4........Jh..y| -00000350 e9 91 7f 06 e6 02 32 ba 8c b6 a2 0c 4b 6d 09 f6 |......2.....Km..| -00000360 28 8f 94 e8 10 e1 ca 48 6c de 56 c2 5c 16 03 03 |(......Hl.V.\...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 2a 21 9d 60 50 ba 34 |........ *!.`P.4| +000002d0 af a9 32 fd 7a 6e cb 3d 28 0f b1 72 94 30 b0 8d |..2.zn.=(..r.0..| +000002e0 ca 05 01 c7 29 8d 52 df 44 08 04 00 80 8b 14 a9 |....).R.D.......| +000002f0 66 24 63 cc e5 08 e6 a0 44 49 b6 0d 5a f4 72 d0 |f$c.....DI..Z.r.| +00000300 19 8b 95 8d 3b df a6 9d 94 b9 5c 8c 3c e6 85 1c |....;.....\.<...| +00000310 53 1d 68 7d 61 4b c0 60 ac a2 1c 7e fa 62 9f f1 |S.h}aK.`...~.b..| +00000320 d7 8e ac 5b 30 1b 5c be 95 60 69 dc c4 80 dc 5a |...[0.\..`i....Z| +00000330 c8 b5 24 95 d9 3a d1 e5 9b 0b 67 71 5d 93 c8 8a |..$..:....gq]...| +00000340 9e a4 bb 70 a1 56 0b 40 6f 2d b6 44 07 17 e2 90 |...p.V.@o-.D....| +00000350 4b f9 3f 97 81 73 a3 87 ab e3 97 05 dc 02 69 6f |K.?..s........io| +00000360 7b a6 c1 e0 30 9d 52 a9 96 5b ac 49 ae 16 03 03 |{...0.R..[.I....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 d5 77 86 8e 32 60 6b 0f 0f 36 33 |.... .w..2`k..63| -00000040 89 fe 51 b8 69 3a 1f 37 b3 d1 eb 43 ab e0 f6 db |..Q.i:.7...C....| -00000050 8b 9d 3c 0d 9a |..<..| +00000030 16 03 03 00 20 61 62 08 12 0b 22 10 96 a0 f6 bb |.... ab...".....| +00000040 ac dd 16 7f 46 0c f5 bd 9c f7 07 6e 4e 4f 77 5b |....F......nNOw[| +00000050 47 48 96 23 16 |GH.#.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 ed 78 35 a3 71 |.......... .x5.q| -00000010 34 a9 40 b2 be 15 dc a9 10 86 e0 de 94 23 e9 51 |4.@..........#.Q| -00000020 2c 01 1e 34 19 07 53 20 59 ac f9 |,..4..S Y..| +00000000 14 03 03 00 01 01 16 03 03 00 20 29 1e 94 76 ae |.......... )..v.| +00000010 fb bb e3 cf 88 84 35 22 39 f2 a6 7a 5b f1 e3 05 |......5"9..z[...| +00000020 38 76 fe ce 7d cc 00 4c d2 8e a5 |8v..}..L...| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 f3 a2 5f da 1c 09 70 76 af 14 83 |......._...pv...| -00000010 e5 7f 6f c9 9a 61 7f d9 e6 86 3c |..o..a....<| +00000000 17 03 03 00 16 ef 4d cc c8 c6 0a e9 aa 33 5a 04 |......M......3Z.| +00000010 c9 54 79 3f 55 c2 fa c3 05 5c 49 |.Ty?U....\I| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 71 23 15 46 93 87 94 38 01 d0 1b |.....q#.F...8...| -00000010 1a 34 db 58 17 d0 ac 62 87 |.4.X...b.| +00000000 16 03 03 00 14 57 f8 72 38 67 71 bf 28 9d 37 4f |.....W.r8gq.(.7O| +00000010 7a aa 07 0b 87 83 2b 82 f3 |z.....+..| >>> Flow 7 (client to server) -00000000 16 03 03 01 16 46 70 b5 5f 98 fc af a8 cb d6 7c |.....Fp._......|| -00000010 8c 1e 60 c3 68 25 20 7b 95 9a 0c 04 b3 2c 52 b2 |..`.h% {.....,R.| -00000020 30 f9 db cf 64 48 0a 46 9b 7a 11 76 11 5c 22 0c |0...dH.F.z.v.\".| -00000030 ef fa e6 6e a1 90 29 b3 64 aa ff 4d cb 7d 4d 91 |...n..).d..M.}M.| -00000040 c0 05 99 a0 3d 25 b2 1e 7c c4 d2 94 6b bf f0 f7 |....=%..|...k...| -00000050 0f 6a 3b 4c 66 c7 8a 26 9e 4f 79 68 50 5c f9 92 |.j;Lf..&.OyhP\..| -00000060 97 e1 a5 86 aa f2 e9 d5 8a a1 96 a7 37 82 71 7d |............7.q}| -00000070 7d 7e b6 77 a3 3d 84 40 58 0d 66 cd 52 6c 9b 18 |}~.w.=.@X.f.Rl..| -00000080 e2 c4 f0 dc 3d 9e 0e b8 49 ca 64 f3 71 c5 24 34 |....=...I.d.q.$4| -00000090 e7 ca c3 87 f6 b9 2c 6a 95 12 4d 9d 4a 4d fe 8a |......,j..M.JM..| -000000a0 51 16 6e c9 00 64 c0 d1 da ae e6 14 66 d2 a8 80 |Q.n..d......f...| -000000b0 35 ae 86 f6 64 f8 56 87 8a 40 46 43 ae d1 d1 fb |5...d.V..@FC....| -000000c0 64 1d 00 a1 3d e9 d9 7a b5 fb 71 2a db 76 5a 74 |d...=..z..q*.vZt| -000000d0 03 c3 79 df e6 90 e9 7e de f9 0e 70 7a 65 3c 68 |..y....~...pze| -00000100 cc f9 8d a6 56 37 0d ff 92 8f 1b 36 b3 3d 0b f5 |....V7.....6.=..| -00000110 5b fb fb 1e 4d c8 cb 84 39 5b 87 |[...M...9[.| +00000000 16 03 03 01 18 7c 93 51 c0 4d b7 f1 d1 3c f0 2c |.....|.Q.M...<.,| 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2c 6a c2 ec |u%....Y..L..,j..| +00000180 35 e7 42 cb 9d 7a 6b e5 a3 2b 52 07 47 d9 f5 e1 |5.B..zk..+R.G...| +00000190 d7 6f 8d 24 4e 38 a5 8d 58 94 0c 6b df 80 e0 f2 |.o.$N8..X..k....| +000001a0 86 3e 99 59 93 a0 21 e3 b0 19 61 69 ec 26 ca 00 |.>.Y..!...ai.&..| +000001b0 b9 e7 75 c0 8e 13 6f 4d 5d 52 14 14 2b a9 28 f2 |..u...oM]R..+.(.| +000001c0 28 ac 1b 04 dc 5b ac b3 91 04 3e f7 59 ad b7 fa |(....[....>.Y...| +000001d0 74 20 11 be c2 e1 6e 94 c4 45 41 2d 89 6c 32 d6 |t ....n..EA-.l2.| +000001e0 6c 85 9c 2d 7b 26 f7 5d 26 aa bc a1 ac 54 15 6c |l..-{&.]&....T.l| +000001f0 9d 7e c6 59 ca 9e 33 cd 41 a2 c4 ca 7b 19 ca ae |.~.Y..3.A...{...| +00000200 ac 8a b6 85 cd 4b 1c b4 08 e0 33 bc 58 46 ec 8f |.....K....3.XF..| +00000210 be c5 28 2e 47 b1 b4 5f 9c b9 af 75 50 68 62 33 |..(.G.._...uPhb3| +00000220 70 a1 3a 55 8b 2f 40 2b fa ae 81 70 f5 f1 2c ec |p.:U./@+...p..,.| +00000230 48 4d de e3 1a 83 b7 ff 60 d6 f5 ba c9 68 30 0f |HM......`....h0.| +00000240 1b f5 a1 76 54 9e 23 68 d9 0e da 49 0f 8d c9 9b |...vT.#h...I....| +00000250 4e 6b 1e a8 61 2b 44 4d 6d a2 9d f9 a5 fe db 4f |Nk..a+DMm......O| +00000260 60 71 2f 7d d1 81 03 c7 fa 19 57 c7 46 08 16 03 |`q/}......W.F...| +00000270 03 00 35 09 4a e9 45 91 cd 0b db 2f 40 aa a3 00 |..5.J.E..../@...| +00000280 66 e9 b0 b0 2c 95 39 d6 a0 a7 19 b7 55 9f 76 30 |f...,.9.....U.v0| +00000290 86 d2 dc 2f 1e ef b4 1e 24 92 2e 32 f6 3d 5b cb |.../....$..2.=[.| +000002a0 e1 c3 f8 63 2e a8 65 6e 16 03 03 00 98 57 df 89 |...c..en.....W..| +000002b0 af a9 c2 3b 59 5b 9d 9a b8 d0 5c 14 be 6e 5b 97 |...;Y[....\..n[.| +000002c0 17 d4 1e 4b 3f 5e 1b 7e 5f 02 94 f3 97 2f c8 55 |...K?^.~_..../.U| +000002d0 fd 56 72 4c d6 86 a8 61 3b 63 e1 8f c2 de b0 17 |.VrL...a;c......| +000002e0 af e5 f3 8d 96 ed 58 75 97 10 5a b2 62 cd 2b 42 |......Xu..Z.b.+B| +000002f0 19 94 d4 56 40 91 1a dd b1 0b 4d 07 c2 22 96 f0 |...V@.....M.."..| +00000300 f5 9c 4c 5b c8 de 32 fe 64 3f 96 33 e6 4e 45 49 |..L[..2.d?.3.NEI| +00000310 a7 eb f1 cf c7 31 aa 0f a3 77 3b 97 46 a1 b2 8a |.....1...w;.F...| +00000320 27 a3 73 b2 8e 57 96 e2 08 84 81 b5 3e 25 da bf |'.s..W......>%..| +00000330 d0 66 ee 22 3c 7a 91 4f 65 16 af 93 2a 65 94 b9 |.f.">> Flow 10 (server to client) -00000000 14 03 03 00 11 00 e4 ef 62 c1 c0 72 f3 98 4d 5a |........b..r..MZ| -00000010 6a c8 7e 29 92 b8 16 03 03 00 20 ff 7e fc cb b5 |j.~)...... .~...| -00000020 07 5f ea 8a 89 2a 46 1b c6 33 41 fe f9 f4 1e 3a |._...*F..3A....:| -00000030 9d 8b 1d 8f 9b 7b 89 07 b4 e8 59 17 03 03 00 19 |.....{....Y.....| -00000040 a3 ba 0c 9b 54 cd 59 6a e1 db 33 80 38 a9 95 a1 |....T.Yj..3.8...| -00000050 95 5b a5 5f ad 3c d0 52 f7 16 03 03 00 14 e6 22 |.[._.<.R......."| -00000060 84 a7 02 10 1e ee 58 88 a5 b8 e8 bf 0a 9b 61 46 |......X.......aF| -00000070 0c ae |..| +00000000 14 03 03 00 11 e0 8d e6 d1 c9 9b 52 c8 a2 bf ae |...........R....| +00000010 b2 e4 67 42 b1 d0 16 03 03 00 20 b4 3f 1f be 91 |..gB...... .?...| +00000020 0b 64 0d 8c 03 f7 3f d1 b6 2c 0f 30 20 dc 7e 04 |.d....?..,.0 .~.| +00000030 e5 5f 9b df 72 39 6f 49 2f a9 3e 17 03 03 00 19 |._..r9oI/.>.....| +00000040 44 c5 de 96 1e cb 94 f0 1e 40 4f b3 16 63 54 bc |D........@O..cT.| +00000050 f5 a4 a5 7c f8 11 43 e7 4c 16 03 03 00 14 e5 a8 |...|..C.L.......| +00000060 b8 7e 88 8a d5 fc e8 40 3b 31 73 2a 7e 24 f2 69 |.~.....@;1s*~$.i| +00000070 74 b0 |t.| >>> Flow 11 (client to server) -00000000 15 03 03 00 12 7f 90 91 7b 93 4e 24 25 5e cb 35 |........{.N$%^.5| -00000010 2c eb ee 29 6a b3 a3 15 03 03 00 12 3d b7 30 fe |,..)j.......=.0.| -00000020 63 90 c3 2d 17 a0 e1 ed 8d bb a4 f6 f6 17 |c..-..........| +00000000 15 03 03 00 12 c6 a2 48 f7 b1 c1 a1 17 a4 b5 27 |.......H.......'| +00000010 bd 0b 5f 11 5a 7c a2 15 03 03 00 12 b2 7e 62 d9 |.._.Z|.......~b.| +00000020 36 67 a0 b6 3e 2a ed fc 6f 77 94 bb 83 8f |6g..>*..ow....| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected b/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected index 3502977efa6..476041055b6 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 9c d0 eb d6 42 |....Y...U......B| -00000010 2e ff 6e 5a 19 33 6d 12 97 56 56 2b f5 1b 86 c8 |..nZ.3m..VV+....| -00000020 38 83 59 37 ac 17 46 ed 73 53 43 20 e4 94 9b 71 |8.Y7..F.sSC ...q| -00000030 f4 94 d9 d9 3a a1 e1 99 1e b4 a5 55 46 88 e0 0a |....:......UF...| -00000040 af 0a 0e ff 81 10 e2 e0 63 21 ae 2a cc a8 00 00 |........c!.*....| +00000000 16 03 03 00 59 02 00 00 55 03 03 d8 c7 6f fa 82 |....Y...U....o..| +00000010 37 eb a6 14 de 94 07 70 6a b5 78 45 dc 9f 56 92 |7......pj.xE..V.| +00000020 db 72 82 3c 9d 35 e4 9d 10 d3 4f 20 3d 7b ce 84 |.r.<.5....O ={..| +00000030 23 6f 24 3e ab 87 14 4c 66 eb db bb ff e4 9f 0a |#o$>...Lf.......| +00000040 64 de ad 60 c7 59 48 67 5c 7e ed f7 cc a8 00 00 |d..`.YHg\~......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 9b 89 08 0d ea c2 d3 |........ .......| -000002d0 4f 73 77 a0 e3 0e 1a 68 13 2c 5c a5 ec 39 75 1b |Osw....h.,\..9u.| -000002e0 c2 95 fe b8 fe 58 f4 bb 16 08 04 00 80 d4 e8 d3 |.....X..........| -000002f0 d4 5b 1f ee ff 60 f5 86 b1 f4 06 c0 a8 ab 90 b0 |.[...`..........| -00000300 26 15 d5 4e 3f d6 a5 e2 a3 3a e0 0f 9a 92 bd 96 |&..N?....:......| -00000310 9d 98 15 f3 95 82 a9 5d 9f 1d 9b 4f 2e 77 58 40 |.......]...O.wX@| -00000320 58 3d fd 8f a6 09 1c fa 61 77 2e 87 df e7 76 8b |X=......aw....v.| -00000330 bf f1 dd 29 f8 70 c0 6d db e5 a0 55 92 77 44 75 |...).p.m...U.wDu| -00000340 d9 95 a6 17 67 93 47 8e 1f 61 50 65 31 94 d3 79 |....g.G..aPe1..y| -00000350 5f 25 a6 f0 3e 19 9a c8 ad b9 1a af 5b 50 2c 97 |_%..>.......[P,.| -00000360 78 1e 71 3a e0 fa 7c 44 1e d1 32 56 4e 16 03 03 |x.q:..|D..2VN...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 73 19 98 03 4d 63 fd |........ s...Mc.| +000002d0 40 98 0b a8 a7 f0 5a 85 32 19 b5 80 e2 1f cc cd |@.....Z.2.......| +000002e0 63 60 1f 14 86 ad 47 fb 6f 08 04 00 80 26 71 72 |c`....G.o....&qr| +000002f0 18 2f d8 41 e6 16 ce 27 ba dd 75 a7 fa e9 c4 e3 |./.A...'..u.....| +00000300 f1 46 4c d6 33 34 c4 f9 69 f6 48 13 8c e5 f5 16 |.FL.34..i.H.....| +00000310 8d 24 36 3d 4c 1e 7b ce da 08 46 6b 1a 9b 30 21 |.$6=L.{...Fk..0!| +00000320 fc 3f fc 86 91 a9 0c c8 a7 7e eb 42 39 d1 8a b1 |.?.......~.B9...| +00000330 86 fa 90 ae 9b ea a4 99 9c cf c6 db 4f f8 b3 9f |............O...| +00000340 1f a9 a2 18 81 7a d2 ee fd 24 a1 f3 d0 33 ed 2a |.....z...$...3.*| +00000350 bb 40 88 ef b1 db c1 a5 f6 f5 a3 49 58 74 b0 20 |.@.........IXt. | +00000360 bf 99 a8 bc 2d 26 99 28 e1 35 ca 64 b0 16 03 03 |....-&.(.5.d....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 88 fe 97 82 bd a7 99 c6 a6 2f c1 |.... ........./.| -00000040 1a a8 54 8c e5 c6 39 0a 6b 07 9b 1a 05 f4 fb e3 |..T...9.k.......| -00000050 67 f5 c8 6e 17 |g..n.| +00000030 16 03 03 00 20 aa 66 5e 19 98 02 93 f8 9b 05 ce |.... .f^........| +00000040 dc eb 36 66 89 72 df aa 03 c0 70 d0 8a df 60 e4 |..6f.r....p...`.| +00000050 22 fa af 93 ed |"....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 3b 6d ac 1c 8b |.......... ;m...| -00000010 1b 46 3a 4e 03 75 51 9e 99 6e 5a a8 4f 07 91 a3 |.F:N.uQ..nZ.O...| -00000020 18 2c bf 88 92 17 e5 13 65 a3 6c |.,......e.l| +00000000 14 03 03 00 01 01 16 03 03 00 20 82 b5 fc 52 b0 |.......... ...R.| +00000010 6c b6 ea 32 2c c3 f6 89 21 cd 79 c3 d1 a3 bd 85 |l..2,...!.y.....| +00000020 05 2d 57 92 91 09 e7 2b 15 8b 6e |.-W....+..n| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 c7 94 fc be 3d 73 fd ec ce b2 f6 |.........=s.....| -00000010 bf 17 bf 52 3e b4 98 39 43 c0 0a |...R>..9C..| +00000000 17 03 03 00 16 d1 27 2b 6a e0 ce 90 8c c3 05 7e |......'+j......~| +00000010 74 e7 e7 93 7a e2 7c 0e 56 d0 12 |t...z.|.V..| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 cf 01 f5 e6 eb 60 e3 49 c4 fb 84 |..........`.I...| -00000010 e1 11 69 e1 91 c0 02 d2 e3 |..i......| +00000000 16 03 03 00 14 48 2d 01 8e cb 10 b5 35 d3 b7 6f |.....H-.....5..o| +00000010 99 45 97 de 0f 7d b6 60 b0 |.E...}.`.| >>> Flow 7 (client to server) -00000000 15 03 03 00 12 4d 7f de 01 23 f7 3f 0d e6 1a f1 |.....M...#.?....| -00000010 19 a2 cd 58 1a 25 f5 15 03 03 00 12 95 78 52 00 |...X.%.......xR.| -00000020 65 aa 6d 77 5a 66 d5 95 c4 5a 9b 1b 05 b2 |e.mwZf...Z....| +00000000 15 03 03 00 12 b5 31 a2 fc c9 ee f5 4a bb a4 4e |......1.....J..N| +00000010 eb 9b 04 ad 45 b3 85 15 03 03 00 12 f8 ca 35 1b |....E.........5.| +00000020 44 da 7c 1b ce cd 2c 9e dd 6f c2 34 b4 06 |D.|...,..o.4..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-SCT b/src/crypto/tls/testdata/Client-TLSv12-SCT index d12e263e153..bab26d7d0b6 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-SCT +++ b/src/crypto/tls/testdata/Client-TLSv12-SCT @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 01 c6 02 00 01 c2 03 03 d8 a9 75 cc 9a |.............u..| -00000010 81 df 5a a0 3b ba 51 74 52 50 72 08 35 02 35 77 |..Z.;.QtRPr.5.5w| -00000020 28 ff 44 e6 d9 c6 8b f8 54 67 b4 20 62 80 60 cc |(.D.....Tg. b.`.| -00000030 09 90 52 66 75 72 a2 c5 dc 8d 18 ce 9a d5 7e cd |..Rfur........~.| -00000040 a5 36 2a 2e 65 72 6f f0 dd b0 8c 14 cc a8 00 01 |.6*.ero.........| +00000000 16 03 03 01 c6 02 00 01 c2 03 03 40 50 e1 86 7c |...........@P..|| +00000010 25 fe 14 2e 80 1b 07 e7 0a 3e 5e ca 8f 17 cf 6e |%........>^....n| +00000020 45 af 3c 2e 00 9e 6c d6 01 40 90 20 9c fe 77 84 |E.<...l..@. ..w.| +00000030 c7 03 71 62 64 66 c8 9f 05 67 67 27 51 92 7b 96 |..qbdf...gg'Q.{.| +00000040 e8 b7 00 93 62 b5 23 d5 f6 1b 18 6d cc a8 00 01 |....b.#....m....| 00000050 7a 00 12 01 69 01 67 00 75 00 a4 b9 09 90 b4 18 |z...i.g.u.......| 00000060 58 14 87 bb 13 a2 cc 67 70 0a 3c 35 98 04 f9 1b |X......gp.<5....| 00000070 df b8 e3 77 cd 0e c8 0d dc 10 00 00 01 47 97 99 |...w.........G..| @@ -83,31 +84,31 @@ 00000400 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d ae db 46 |.....@.a.Lr+...F| 00000410 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db fe 3d 13 |..M...>...B...=.| 00000420 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -00000430 00 a8 03 00 1d 20 cd 2a 10 ee 97 4a 83 7b 0e 6d |..... .*...J.{.m| -00000440 e7 00 5a ce bc d8 1c 57 fa f6 ec 52 0d 0f be 6d |..Z....W...R...m| -00000450 c8 5d 27 3c 8c 1b 08 04 00 80 a9 4c bb 3a 0a d7 |.]'<.......L.:..| -00000460 db 72 3d 88 49 a6 0b f7 dc d5 e1 d0 07 e8 6c fa |.r=.I.........l.| -00000470 b0 5e 0b 13 27 29 6f 1f 1e b9 05 60 16 cc ea 7b |.^..')o....`...{| -00000480 46 d7 12 58 03 43 b0 fe 8e 7b 83 3b ee 11 78 8c |F..X.C...{.;..x.| -00000490 60 0f 9c 76 63 60 01 78 a0 9b 19 b9 32 99 a9 9d |`..vc`.x....2...| -000004a0 42 b8 1f f1 8b 87 07 32 fa 5e 74 d5 3e 5e ba 21 |B......2.^t.>^.!| -000004b0 ff 63 b7 c6 68 bc b3 f9 52 1a ea 23 c7 f2 ec ff |.c..h...R..#....| -000004c0 d4 10 0d f8 76 2f bc 0d e5 12 7f ee d3 8d 9e 6b |....v/.........k| -000004d0 5e 22 78 d6 fa 5e 6a 53 16 44 16 03 03 00 04 0e |^"x..^jS.D......| +00000430 00 a8 03 00 1d 20 fc a2 99 01 3b bb 5c 33 40 bd |..... ....;.\3@.| +00000440 a6 79 74 43 96 48 d7 53 90 d3 8a ab fc f2 f3 43 |.ytC.H.S.......C| +00000450 c9 21 dc e9 ae 4f 08 04 00 80 5b dc 13 27 c1 0b |.!...O....[..'..| +00000460 bb c8 6f ea 4c 87 58 06 84 04 d6 c1 d7 5d 35 fe |..o.L.X......]5.| +00000470 da 37 ea 4b a1 66 42 97 b3 b8 e0 03 ff 71 93 0c |.7.K.fB......q..| +00000480 91 fd c0 d9 e5 92 3c dd f7 eb 9b 20 a1 7c 02 84 |......<.... .|..| +00000490 a3 d7 0a ac 3f 7c c7 42 7f 39 20 f6 ba 32 b9 f9 |....?|.B.9 ..2..| +000004a0 bc b7 7f 11 c7 5c b9 10 8f 08 0f 84 df 85 7d a4 |.....\........}.| +000004b0 eb 97 ff 0d e7 53 13 98 11 be 7e 6e 8f cc 0b 31 |.....S....~n...1| +000004c0 30 7a 92 df 9b 32 47 e6 1b 0e bd e9 cf 09 ce ed |0z...2G.........| +000004d0 0a 5f 44 54 78 7a bd 50 2b a6 16 03 03 00 04 0e |._DTxz.P+.......| 000004e0 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 5c 1a 1b 0e 7e 83 4f 9b f6 8e 9f |.... \...~.O....| -00000040 ca 95 86 c3 7b 60 73 d3 8d 3c 6d 18 6a eb 70 a3 |....{`s..>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 1f a2 50 dd c5 |.......... ..P..| -00000010 ba 96 4a 63 e1 cc b6 45 77 09 c1 49 cb 5f eb 4b |..Jc...Ew..I._.K| -00000020 38 9b b1 40 1c af b1 a2 dc 7c ba |8..@.....|.| +00000000 14 03 03 00 01 01 16 03 03 00 20 37 16 dd 69 1f |.......... 7..i.| +00000010 80 5e f5 c5 ea 6a ed 27 84 86 02 54 25 52 f7 5d |.^...j.'...T%R.]| +00000020 09 cb 8f d5 06 a0 53 99 46 80 c3 |......S.F..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 e7 54 f6 bf 56 39 57 c4 b2 ac f2 |......T..V9W....| -00000010 b1 f4 b1 2f ad ae d7 87 21 ff 1c 15 03 03 00 12 |.../....!.......| -00000020 5d b6 56 77 55 99 b6 7b a4 0b d8 8e 8d 93 b6 35 |].VwU..{.......5| -00000030 ce 9a |..| +00000000 17 03 03 00 16 94 13 2a 62 dd 68 60 68 59 4a 67 |.......*b.h`hYJg| +00000010 41 56 52 5c 18 ff 87 3c 0b 46 8d 15 03 03 00 12 |AVR\...<.F......| +00000020 c7 10 66 b7 f8 8c 00 9b e1 51 f2 22 53 d5 50 bb |..f......Q."S.P.| +00000030 bf 69 |.i| diff --git a/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE b/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE index d58a32f2b37..2073676b629 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f4 01 00 00 f0 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 f6 01 00 00 f2 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,20 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 75 00 05 00 05 01 00 00 00 00 00 0a 00 |...u............| -00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1a 00 |................| -000000a0 18 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 ff 01 00 01 00 00 12 |................| -000000c0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| -000000d0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| -000000e0 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -000000f0 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| +00000080 01 00 00 77 00 05 00 05 01 00 00 00 00 00 0a 00 |...w............| +00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1c 00 |................| +000000a0 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 ff 01 00 01 00 |..........a.....| +000000c0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| +000000d0 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 |..3.&.$... /.}.G| +000000e0 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| +000000f0 c4 cf c2 ed 90 99 5f 58 cb 3b 74 |......_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 e0 c7 ce be 3a |....Y...U......:| -00000010 a6 34 5f b7 c5 ec f1 f3 09 df 4d db 39 60 71 93 |.4_.......M.9`q.| -00000020 db 7c 30 e0 81 93 f0 19 57 6b 6b 20 9e 4b e2 1e |.|0.....Wkk .K..| -00000030 27 8d d3 f6 0c f3 3d bc 67 3e 79 33 fd c9 cc 55 |'.....=.g>y3...U| -00000040 36 55 a5 aa 89 94 fe b2 51 cf 24 56 c0 2f 00 00 |6U......Q.$V./..| +00000000 16 03 03 00 59 02 00 00 55 03 03 fe b5 a7 8f 34 |....Y...U......4| +00000010 1c 01 64 3a 96 9a 9a 42 44 36 3e cb e3 76 a7 4f |..d:...BD6>..v.O| +00000020 e7 ed 7f 2d d3 a8 ed 76 0c 1b a6 20 bf ca 08 65 |...-...v... ...e| +00000030 98 08 a2 72 59 38 05 31 a8 43 0a 15 c5 cd 36 b4 |...rY8.1.C....6.| +00000040 fa eb 60 7e ba 38 48 80 9b ae 76 9e c0 2f 00 00 |..`~.8H...v../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,33 +60,33 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 9b 73 58 2f 9a aa 8b |........ .sX/...| -000002d0 3e 80 1c b1 8e e5 d4 54 c2 d0 b1 94 16 86 e2 4b |>......T.......K| -000002e0 9c ab d7 ce 2c e5 26 20 04 08 04 00 80 d8 c0 18 |....,.& ........| -000002f0 90 8e 06 d8 d6 4c af a1 ae 5e ca 4b a1 18 bb 31 |.....L...^.K...1| -00000300 f5 3a 75 c3 d7 73 69 a7 e0 0f 8e f2 c5 92 0a bd |.:u..si.........| -00000310 7f 91 36 6c 01 c3 eb 08 9a 3b 25 2c bd 86 88 05 |..6l.....;%,....| -00000320 64 e0 38 5b 75 01 10 1f 1b d5 34 09 04 2e 34 6d |d.8[u.....4...4m| -00000330 71 d2 6c b6 f3 7a 1e ed a9 9d 28 60 13 fc 02 6f |q.l..z....(`...o| -00000340 f6 17 99 52 7b 19 60 e5 a6 11 d4 b3 4c 52 03 b5 |...R{.`.....LR..| -00000350 3e 28 91 c6 66 87 25 df 10 c6 cf b9 5f 92 0e d7 |>(..f.%....._...| -00000360 b6 19 f0 19 b9 f6 e9 e9 24 74 35 3b c6 16 03 03 |........$t5;....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 8e 2c ae 15 28 88 f5 |........ .,..(..| +000002d0 de b9 b8 ca c1 b0 03 b6 95 a9 00 04 5c eb 8b 6a |............\..j| +000002e0 47 10 90 a0 be 92 19 40 18 08 04 00 80 86 60 cc |G......@......`.| +000002f0 68 b9 ed ed 27 9b 73 05 41 b4 6f 73 11 18 52 51 |h...'.s.A.os..RQ| +00000300 c0 bf a9 b9 1b 8b 50 50 9d 14 41 6c 60 00 8a ea |......PP..Al`...| +00000310 fc ca 41 db a4 2a 91 63 38 ac 1f c3 0c f8 a3 c7 |..A..*.c8.......| +00000320 b5 8d db ee f2 00 15 e3 c1 58 20 77 6f 26 4a 71 |.........X wo&Jq| +00000330 d4 6c b4 92 be 78 f6 d6 47 c7 95 20 df e8 9f 79 |.l...x..G.. ...y| +00000340 bc 61 d8 5c 81 db ff 40 cd b0 8b b1 ed c3 ce 70 |.a.\...@.......p| +00000350 81 9d 1d 46 86 6b 5f 87 54 00 9a b8 14 db d2 3f |...F.k_.T......?| +00000360 5c ec aa 7c c2 5d aa 1c 2b fd f3 be 26 16 03 03 |\..|.]..+...&...| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 01 e4 5a |....(..........Z| -00000040 e9 dc dd 98 cd 5f d2 d2 eb 84 12 c9 96 ca 91 d7 |....._..........| -00000050 ae f4 db 44 a4 37 f3 a3 b2 8d db ed 3d |...D.7......=| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 eb 52 a3 |....(.........R.| +00000040 9c a7 51 08 cc 99 b2 20 c3 83 52 01 2a 56 bd c2 |..Q.... ..R.*V..| +00000050 6a ab 20 f3 fc f6 00 b9 ab 86 6b 95 62 |j. .......k.b| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 c2 2d 32 ba 46 |..........(.-2.F| -00000010 27 8d 87 13 7f b9 49 04 64 2f 6e cc 32 81 f8 3c |'.....I.d/n.2..<| -00000020 7f 0f 19 13 5c 11 33 a1 05 5f 91 bc 97 30 64 84 |....\.3.._...0d.| -00000030 57 69 90 |Wi.| +00000000 14 03 03 00 01 01 16 03 03 00 28 75 1c af 50 91 |..........(u..P.| +00000010 4d 97 a5 46 6f 84 9b f2 25 87 7d 12 72 ee 53 21 |M..Fo...%.}.r.S!| +00000020 8e 22 74 0e df 7f c2 c6 9a 73 c9 96 0d 9c da 92 |."t......s......| +00000030 27 2f 72 |'/r| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 fd 0f a5 |................| -00000010 74 98 c4 98 ee 67 74 d4 c1 d4 fe d3 c7 e2 1b 2c |t....gt........,| -00000020 e5 3c be 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.<..............| -00000030 f8 d4 60 41 13 6a 9c e3 0e 56 e2 ab 96 45 7e 06 |..`A.j...V...E~.| -00000040 87 63 |.c| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 c7 32 b2 |..............2.| +00000010 11 74 14 e3 84 bc 8e a0 c5 69 b3 f0 54 b1 4d e5 |.t.......i..T.M.| +00000020 7a 45 9f 15 03 03 00 1a 00 00 00 00 00 00 00 02 |zE..............| +00000030 7f ca 55 39 2e 43 b1 82 a2 fc a6 4a c5 f7 54 e9 |..U9.C.....J..T.| +00000040 31 b9 |1.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 index 4273484ca71..0cdc9d2066d 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,84 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 f7 30 f3 d1 e7 |....z...v...0...| -00000010 eb 94 97 a2 c6 d5 be 74 e0 6c 08 80 2f ad 11 6b |.......t.l../..k| -00000020 b3 ce 22 59 06 a9 eb 41 9c 97 a8 20 00 00 00 00 |.."Y...A... ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 a9 2e d9 f5 0a |....z...v.......| +00000010 ca 99 60 ff 25 13 a7 d4 1d ca 2e 58 92 5b 27 e0 |..`.%......X.['.| +00000020 af 82 ec 29 02 7a 45 54 d5 f3 5e 20 00 00 00 00 |...).zET..^ ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 c0 |..+.....3.$... .| -00000060 47 7e ad a1 41 53 e5 25 ec 74 46 bc 9e 80 08 3b |G~..AS.%.tF....;| -00000070 0b f5 7e fb 71 1f 00 d5 4b 27 51 22 4a 5e 5f 14 |..~.q...K'Q"J^_.| -00000080 03 03 00 01 01 17 03 03 00 17 e9 e8 56 00 26 9e |............V.&.| -00000090 92 60 84 6c 07 3d b1 ef e4 63 51 ba 48 ee d7 fe |.`.l.=...cQ.H...| -000000a0 57 17 03 03 02 6d 2e d4 bb bf a2 e8 3b 84 47 2e |W....m......;.G.| -000000b0 22 66 c1 98 ea 11 6b a3 4d 1b 64 c0 02 32 76 9b |"f....k.M.d..2v.| -000000c0 29 8a 4a 96 68 5b d1 fd a0 0f a6 9b 70 20 c7 08 |).J.h[......p ..| -000000d0 7b 25 07 d1 54 8c b1 bb 4e ba 32 65 2c 1e 16 29 |{%..T...N.2e,..)| -000000e0 e7 d2 df e3 84 60 e1 43 07 99 35 4d 95 7c 27 96 |.....`.C..5M.|'.| -000000f0 be f4 bf 0a e9 3b 9d 60 7a 6e 34 82 1f 03 ca 17 |.....;.`zn4.....| -00000100 ac d1 a1 b5 dc 3f 20 7b 42 f6 94 43 60 ff 3f 1b |.....? {B..C`.?.| -00000110 b1 2e 2d 71 55 07 fb 65 40 56 59 82 1e 31 83 c9 |..-qU..e@VY..1..| -00000120 35 6c 28 ad c1 bd 88 55 1b b6 1e 89 af 64 7f 11 |5l(....U.....d..| -00000130 53 80 3a 62 ef 34 a7 d0 ce 38 9b 19 d6 5f 78 0d |S.:b.4...8..._x.| -00000140 66 73 b2 bd b6 a6 f8 70 c8 40 f9 aa a2 86 f4 48 |fs.....p.@.....H| -00000150 0d 6c 54 67 c6 3c 91 97 ff 94 4d 9a 01 d5 e1 c9 |.lTg.<....M.....| -00000160 8f 27 d3 8d b3 72 cd 34 eb 7a 6d 48 84 f3 8b 84 |.'...r.4.zmH....| -00000170 34 d2 68 bd 26 bc 6d e5 46 41 cc 86 d4 7a b6 31 |4.h.&.m.FA...z.1| -00000180 05 b3 bc a4 fe e1 5c d4 eb 8b fe 64 0e be 89 c4 |......\....d....| -00000190 ce e0 49 a0 ba 7a 83 b6 fb 31 17 42 fd b4 e3 59 |..I..z...1.B...Y| -000001a0 48 df f6 a8 e4 5c d1 77 77 cb c2 31 85 8a 26 65 |H....\.ww..1..&e| -000001b0 20 fa 05 90 ae 66 95 7a 75 4b bc 93 15 dd a0 13 | ....f.zuK......| -000001c0 61 d5 99 fb b2 27 bd ec fd 10 b5 d2 c7 18 ac b9 |a....'..........| -000001d0 bd bc 35 72 d0 42 6c f7 5a e0 67 46 45 10 f7 50 |..5r.Bl.Z.gFE..P| -000001e0 e4 14 47 ac 39 5a 05 38 b9 25 4a 43 fa 57 b2 51 |..G.9Z.8.%JC.W.Q| -000001f0 b7 3e f7 ef d5 b5 de 2e 2f 5c d0 d7 00 23 ac 4b |.>....../\...#.K| -00000200 65 8d 6c f4 ab 6f ef 1e c2 66 c5 b2 cb 1a 51 4c |e.l..o...f....QL| -00000210 ef 96 8f 28 65 2f 50 9c 91 1f 73 87 fc 81 db 90 |...(e/P...s.....| -00000220 16 69 00 06 98 6b 00 33 41 e1 e6 12 89 cb c9 f3 |.i...k.3A.......| -00000230 23 2c 28 83 00 ca 4f 42 f5 26 bc 94 39 3b 18 31 |#,(...OB.&..9;.1| -00000240 41 a9 19 4a 60 e8 de 8f 1d d0 e8 96 77 c0 49 bd |A..J`.......w.I.| -00000250 a2 98 bd b1 0a 6f bd 27 79 1d c4 33 50 37 a8 eb |.....o.'y..3P7..| -00000260 a5 4e 59 87 58 cd f0 a0 34 4e 2b 9d ee 03 e4 8a |.NY.X...4N+.....| -00000270 24 94 86 11 e1 94 f0 2b 3e 27 9a 92 1c 17 d3 96 |$......+>'......| -00000280 c0 71 ab ee 75 5f 99 ca 0e 42 65 5d ed 48 0c 7a |.q..u_...Be].H.z| -00000290 95 8a d9 da f7 60 ee de 46 f2 f4 7a d6 ce 38 41 |.....`..F..z..8A| -000002a0 fa e8 1f 3e 77 be 02 53 0c 33 96 5b 0d 38 bb 08 |...>w..S.3.[.8..| -000002b0 5e 92 1a 81 f1 be c7 9a e2 02 80 09 3b b7 62 b0 |^...........;.b.| -000002c0 7c a7 85 3a d9 52 34 23 4f a3 04 e7 35 98 9e 18 ||..:.R4#O...5...| -000002d0 13 0b 71 12 6d a4 2e 11 bf 39 8c 94 ef 15 96 27 |..q.m....9.....'| -000002e0 9e be 81 d9 55 5a 8b 14 c5 49 dd 6e 6e 7b 6b c2 |....UZ...I.nn{k.| -000002f0 f3 7d ef 24 88 b9 eb a6 15 3e aa a8 3e eb 37 54 |.}.$.....>..>.7T| -00000300 fc 86 9f 51 30 5f 9c a5 fc 7a af f6 1b a5 a4 27 |...Q0_...z.....'| -00000310 51 78 f7 17 03 03 00 99 79 14 63 10 91 cd 73 f5 |Qx......y.c...s.| -00000320 a8 62 c3 92 a3 04 c2 3d 58 5e d3 6e 93 eb 9b b1 |.b.....=X^.n....| -00000330 11 f0 3c c6 96 9f c6 c8 9b de 2c d5 12 c2 bd d1 |..<.......,.....| -00000340 2a 68 89 4a 07 1e 23 d2 45 ca a1 0f 92 71 b7 f7 |*h.J..#.E....q..| -00000350 d0 2f 2a be d0 5e 0c 5d 13 8f b0 7f df b8 52 2e |./*..^.]......R.| -00000360 7a 5e c8 eb 84 06 46 81 d0 f7 09 18 52 fb ce fd |z^....F.....R...| -00000370 22 d8 74 71 e8 7d 41 5f 3a 5d e5 f9 bb e6 99 03 |".tq.}A_:]......| -00000380 32 d1 58 e8 5a 58 d8 b2 39 61 01 33 72 7d d2 11 |2.X.ZX..9a.3r}..| -00000390 8f f7 58 55 c8 f2 64 63 33 9b 78 36 bf 9b 8b 40 |..XU..dc3.x6...@| -000003a0 8c ec 7b a2 bb 51 ed b1 fe 74 c2 c9 1f b4 2b cb |..{..Q...t....+.| -000003b0 fd 17 03 03 00 35 75 46 88 74 06 9b 5e 88 c2 0d |.....5uF.t..^...| -000003c0 fc 7d 29 bd 6c 1c 23 2f 06 3f 14 b1 55 e4 98 b1 |.}).l.#/.?..U...| -000003d0 ed c3 9a ed ea be 29 60 15 ac 80 c7 a8 f7 9b ce |......)`........| -000003e0 f3 79 b3 be ad ff ab b4 a7 45 57 |.y.......EW| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 9a |..+.....3.$... .| +00000060 0c 89 52 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97 90 9b 5c e0 5c 57 eb a4 49 c6 8a bb |~.+...\.\W..I...| +00000140 28 58 d1 f1 62 aa 5b 12 7f bd d3 db a4 ec f1 88 |(X..b.[.........| +00000150 2f c8 5f 82 9c 55 48 1d 37 6b a8 b5 e5 d3 12 04 |/._..UH.7k......| +00000160 17 71 47 82 56 36 3c 0b eb b6 36 c7 a0 50 dc cf |.qG.V6<...6..P..| +00000170 cf ff 24 a3 ee 86 ef 9f a7 8b 3c b2 63 23 92 af |..$.......<.c#..| +00000180 0a f0 36 74 df dc f9 0c 54 51 c5 cf df 1d 08 cb |..6t....TQ......| +00000190 9b 41 4d 6a fb 1d 5c 91 cd 1a e6 2c d5 10 3c 9a |.AMj..\....,..<.| +000001a0 10 4d 23 a5 f4 b3 5b 0d 40 07 40 0a 6f 4e 88 c2 |.M#...[.@.@.oN..| +000001b0 a9 00 45 49 c4 ca 15 64 1d 8a 3d 84 a3 42 bf 6b |..EI...d..=..B.k| +000001c0 4a 29 f1 d3 ef 8e 3e 43 43 4b 5f dd 1d 78 91 3f |J)....>CCK_..x.?| +000001d0 87 0a 18 ff 92 0f 43 6f 5b 12 41 4f 42 27 00 7a |......Co[.AOB'.z| +000001e0 07 bc a0 87 bc 27 45 af 89 c0 62 3a 67 9b 5b 43 |.....'E...b:g.[C| +000001f0 ef 72 d1 29 72 3e 27 3f 03 cf f9 74 94 dc 0d c9 |.r.)r>'?...t....| +00000200 39 42 d7 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b4 |.....E.i`.>G....| +000003c0 ba 95 52 56 e6 cd 25 eb 63 a4 28 01 11 bb b5 c1 |..RV..%.c.(.....| +000003d0 54 38 63 bc 3d 64 d7 7b ec d1 ce d2 f4 90 76 51 |T8c.=d.{......vQ| +000003e0 40 f1 06 6c 4a a3 ea 50 f1 a7 b9 82 5b 77 21 d1 |@..lJ..P....[w!.| +000003f0 9e a0 aa 1a b6 c6 0a 4b 60 58 58 |.......K`XX| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 45 44 15 b9 ed d8 |..........ED....| -00000010 10 2c 88 80 79 f3 38 a4 bc 42 9b 22 09 44 d9 19 |.,..y.8..B.".D..| -00000020 e1 0a ec 15 aa d5 15 e9 19 6d b8 6b 71 63 86 ce |.........m.kqc..| -00000030 e7 16 0d 8e 3f 9a 3b 52 25 1e 96 f6 d9 d1 6c dd |....?.;R%.....l.| -00000040 e3 20 e9 97 f9 60 81 f5 4a b2 26 b5 d3 9e 84 46 |. ...`..J.&....F| -00000050 17 03 03 00 17 de 4a e9 44 21 88 ef ce 78 35 6d |......J.D!...x5m| -00000060 b2 e4 78 47 39 8d 1f fd 9b 2d a4 47 17 03 03 00 |..xG9....-.G....| -00000070 13 98 f9 1c 9c d4 b1 42 f7 e7 a1 9b 6d b1 b1 cb |.......B....m...| -00000080 86 e3 c2 27 |...'| +00000000 14 03 03 00 01 01 17 03 03 00 45 0d 03 9b 92 5e |..........E....^| +00000010 fd 1d c7 ad b5 f5 b5 24 c3 06 47 23 1b 4d 27 f7 |.......$..G#.M'.| +00000020 0b 20 66 8a c9 c6 1f 0e 31 cb 2c 69 88 fd 00 3a |. f.....1.,i...:| +00000030 57 3f 19 3c 22 80 42 ad 99 64 c2 67 4f e3 cb 1a |W?.<".B..d.gO...| +00000040 07 6a 61 cd 0e 21 69 1b f1 97 dc 33 15 30 49 a9 |.ja..!i....3.0I.| +00000050 17 03 03 00 17 cd ba 09 c3 5d 4c 7e cd 19 14 a0 |.........]L~....| +00000060 1b 92 9f be a5 46 f9 2a ac 76 c3 b4 17 03 03 00 |.....F.*.v......| +00000070 13 c3 bd 2e ba 0d 55 37 37 95 39 2c cf 02 85 8d |......U77.9,....| +00000080 e4 e7 72 83 |..r.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ALPN b/src/crypto/tls/testdata/Client-TLSv13-ALPN index 0ac9b36933c..e1a35a8f73d 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv13-ALPN @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 0e 01 00 01 0a 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 10 01 00 01 0c 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,87 +7,87 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 8f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 91 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 10 00 10 00 0e 06 70 72 6f 74 6f |...........proto| -000000d0 32 06 70 72 6f 74 6f 31 00 12 00 00 00 2b 00 09 |2.proto1.....+..| -000000e0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000f0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -00000100 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000110 cb 3b 74 |.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 10 00 10 00 0e 06 70 72 6f |a............pro| +000000d0 74 6f 32 06 70 72 6f 74 6f 31 00 12 00 00 00 2b |to2.proto1.....+| +000000e0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000f0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +00000100 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000110 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 23 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f9 e6 35 50 5c |r.)o..Ps..<..5P\| +00000360 60 c6 fc b5 a4 ad ed 0e 48 37 72 f3 39 31 d0 5d |`.......H7r.91.]| +00000370 18 63 65 c6 5b 0a 45 5a e7 43 dd 75 57 c9 88 e1 |.ce.[.EZ.C.uW...| +00000380 5c 3d 8f ec fa 4c 5f e4 dd ed 17 d0 24 b8 f5 48 |\=...L_.....$..H| +00000390 61 1d 62 57 db cc 0c c2 3f 90 e6 68 53 2d b0 77 |a.bW....?..hS-.w| +000003a0 65 5f f9 54 92 c6 3f 25 4f 74 7c 7e 12 03 cc 17 |e_.T..?%Ot|~....| +000003b0 97 3d be 92 86 ce 1f 54 88 29 4b a0 32 ff 17 03 |.=.....T.)K.2...| +000003c0 03 00 35 2d 51 83 70 c1 62 f7 8c 4b ab 9b 46 ac |..5-Q.p.b..K..F.| +000003d0 86 19 44 d8 00 ba db 88 af 14 a8 4b ff eb 93 c8 |..D........K....| +000003e0 0c 2c 6e bf 23 5b 9b 3e 8c af 8e 93 d0 9f cb 7b |.,n.#[.>.......{| +000003f0 af ed e5 83 cd 2d db 6d |.....-.m| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 3e e7 50 e1 d1 |..........5>.P..| -00000010 4d 9f 84 fe ca 83 c4 3b a6 86 45 c2 7e e7 af 00 |M......;..E.~...| -00000020 db e6 23 3c 06 b8 a3 1e 36 2e ab 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a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 index 6d7b508fd34..443cb193544 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,84 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 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b0 1a 31 fb 9d 56 d0 b3 62 62 3a 17 81 a6 |....1..V..bb:...| +00000370 ef d3 b8 54 77 a9 5c 04 ab cb ad fc 44 c4 36 71 |...Tw.\.....D.6q| +00000380 2f 36 17 b9 3b b9 19 01 38 9e 07 f3 2f b8 d3 f6 |/6..;...8.../...| +00000390 fe d7 4f 0c a0 c8 5d 73 f1 82 4e a8 ff 81 1d db |..O...]s..N.....| +000003a0 e5 08 fb 80 cb b0 99 11 34 17 ff 2b 1b 18 6b fd |........4..+..k.| +000003b0 99 17 03 03 00 35 e7 98 d1 11 4e dc 4f e3 eb fb |.....5....N.O...| +000003c0 e8 ea 6a 34 ae ca e7 d1 35 5d b4 d5 07 16 18 23 |..j4....5].....#| +000003d0 58 10 12 56 6f 7e 16 35 e9 54 63 cd 2f 94 cc e4 |X..Vo~.5.Tc./...| +000003e0 18 46 68 d5 6b 53 5a 4b b1 fe a8 |.Fh.kSZK...| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 55 88 37 f3 ee |..........5U.7..| -00000010 c5 1b 20 ac fe bc a3 f8 c9 59 3f 5f c0 81 40 8f |.. ......Y?_..@.| -00000020 1e a9 44 c8 10 16 69 8a 76 45 17 51 06 9e f0 55 |..D...i.vE.Q...U| -00000030 a2 f2 56 98 7d a1 4d 95 5a c3 1f 51 cf 31 20 ca |..V.}.M.Z..Q.1 .| -00000040 17 03 03 00 17 81 2a 8e 32 29 ec 9b 92 c3 fd 98 |......*.2)......| -00000050 64 aa 47 2a a5 0c d6 77 7f b1 8f 12 17 03 03 00 |d.G*...w........| -00000060 13 60 8c fb 98 e1 03 b6 20 c8 45 4e d9 4b a8 17 |.`...... .EN.K..| -00000070 10 79 5f b6 |.y_.| +00000000 14 03 03 00 01 01 17 03 03 00 35 ea a4 12 22 e4 |..........5...".| +00000010 56 ec a1 e4 b0 6f 25 72 ee 57 34 f4 90 55 05 19 |V....o%r.W4..U..| +00000020 48 47 f2 83 ef 24 f9 aa 1d ae 06 e8 fb a8 09 31 |HG...$.........1| +00000030 e9 48 8a d2 09 a4 29 db 9e e9 31 7f 83 a5 a9 ea |.H....)...1.....| +00000040 17 03 03 00 17 3a 5c 00 a0 a2 ae 96 18 16 88 03 |.....:\.........| +00000050 9b 6b 52 e6 80 2f 61 fd 1e 08 61 77 17 03 03 00 |.kR../a...aw....| +00000060 13 5c cd 27 90 7a b7 0b 5c e5 a5 4d fa 37 b4 28 |.\.'.z..\..M.7.(| +00000070 28 4c eb e6 |(L..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA index c8e95c85dfc..8de8f21c382 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,133 +7,134 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to 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a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,116 +7,117 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 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30 8e 5c b0 ea 35 6b 17 |@.}.xI..0.\..5k.| +00000210 03 03 00 13 28 9c 61 b1 cf 7b 88 05 95 bd 07 13 |....(.a..{......| +00000220 1c ab 7d 4a 8c c9 fc |..}J...| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA index 09de5cca834..8a86934bf0e 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,128 +7,129 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 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|.8_.q........M#.| +00000290 bf 91 5c c1 a3 10 fb 72 2a c4 f5 14 27 28 47 4b |..\....r*...'(GK| +000002a0 78 ae f9 3d a3 15 da 94 f8 ea 90 43 fc 34 e6 3c |x..=.......C.4.<| +000002b0 6f 6f 30 db 48 ac a1 a9 8c e6 72 2e 71 21 4d ed |oo0.H.....r.q!M.| +000002c0 2f 5a 2a 78 b4 f4 51 69 af 79 f2 af a6 15 5e 63 |/Z*x..Qi.y....^c| +000002d0 a7 92 d1 4a 5a 60 e1 ab 3f fc 4a 4d ac 7b 9d f3 |...JZ`..?.JM.{..| +000002e0 aa bb f4 c0 f2 a9 a2 1a 71 6a 5d fd 1b e5 d7 05 |........qj].....| +000002f0 1b 89 55 8f de f8 9f aa 68 8e 9c 90 ce ef 3c 85 |..U.....h.....<.| +00000300 b8 74 aa f0 c1 ef c7 e9 2a a1 96 e8 20 84 f0 f1 |.t......*... ...| +00000310 ae 39 ac 6c ac 10 b6 05 81 60 61 0c 0e 2a 48 e3 |.9.l.....`a..*H.| +00000320 6d cb 8e 17 03 03 00 35 cc b7 6b 7e e3 63 1a a8 |m......5..k~.c..| +00000330 f0 ab cf d5 8f 6d e6 df 9d 51 cb 12 56 ff ad 2b |.....m...Q..V..+| +00000340 6b 83 36 6a 82 f5 50 9a 94 22 70 dc 12 51 fc bc |k.6j..P.."p..Q..| +00000350 08 07 68 38 ce 4e 35 4e 05 ab a5 16 d5 17 03 03 |..h8.N5N........| +00000360 00 17 11 a6 8f 42 e6 6f cc 42 09 f9 83 39 79 0e |.....B.o.B...9y.| +00000370 69 6c 60 f9 9a c8 f0 50 e6 17 03 03 00 13 6c e6 |il`....P......l.| +00000380 84 5f 18 ae c1 d9 e2 03 43 1e ae ab fb e7 d4 12 |._......C.......| +00000390 bb |.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ECDSA b/src/crypto/tls/testdata/Client-TLSv13-ECDSA index 098f3ab3c98..4d59ba38603 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv13-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,80 +7,81 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 e8 ec ee 61 3e |....z...v.....a>| -00000010 c1 43 87 6d f1 61 ed d2 41 1f 7d d7 b7 c0 92 fd |.C.m.a..A.}.....| -00000020 34 17 85 7b c7 ff c4 56 dd 90 bd 20 00 00 00 00 |4..{...V... ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 9c 2d 3f 8d 7d |....z...v...-?.}| +00000010 57 0a df 59 e4 62 e9 b5 0a 45 de 99 78 20 aa 4e |W..Y.b...E..x .N| +00000020 9e df 0b 4a 14 81 2e 54 17 de 05 20 00 00 00 00 |...J...T... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| 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-00000120 bc 78 56 eb c5 89 d3 19 86 81 09 e1 ee 10 03 7c |.xV............|| -00000130 a4 1b 78 17 51 a3 53 b4 67 5d 29 49 21 b2 51 7b |..x.Q.S.g])I!.Q{| -00000140 f5 dc fd 60 11 ee 8f 50 ea 28 b5 db 57 04 7e 3b |...`...P.(..W.~;| -00000150 ad 6f 29 d4 22 f3 a1 4b 52 ac b8 2b 30 0c 67 16 |.o)."..KR..+0.g.| -00000160 e3 e0 7d a3 03 66 c4 39 70 8e c7 06 cf d2 6f 98 |..}..f.9p.....o.| -00000170 c1 c9 f6 a9 6a 89 b4 3e 38 97 ae e4 f2 97 a4 6f |....j..>8......o| -00000180 e2 05 f8 e9 53 c9 ae f7 87 c3 0f 68 75 9e 07 e9 |....S......hu...| -00000190 45 e9 0d 03 7e c8 79 56 30 77 e3 ea db 92 a2 f8 |E...~.yV0w......| -000001a0 5e 5b ab 77 0d 9b bc 5f 51 40 6c 1b 0d ef b4 cf |^[.w..._Q@l.....| -000001b0 4a 3d a6 8c b6 ab ce 4f 6c 08 0e 23 f0 2a 56 07 |J=.....Ol..#.*V.| -000001c0 f5 88 68 c3 0c fd 63 9b e4 56 12 a6 f5 0a ed 54 |..h...c..V.....T| -000001d0 40 30 ee 36 72 5d ca bb 5a 52 d3 84 14 c1 7e e4 |@0.6r]..ZR....~.| -000001e0 f8 fb e9 c8 10 16 54 16 1f 72 99 8c 7a 69 87 ca |......T..r..zi..| -000001f0 62 53 dc cb a4 26 73 90 fb 11 3c 3c 9f 94 65 cb |bS...&s...<<..e.| -00000200 28 94 65 ca 56 45 a8 c1 ec 08 31 dd eb bc 17 71 |(.e.VE....1....q| -00000210 cd 65 04 95 2e e7 e0 fb 73 fe 70 db 70 31 93 90 |.e......s.p.p1..| -00000220 cf 47 07 ec 92 98 c1 da fc 13 f8 8a 28 4e e8 80 |.G..........(N..| -00000230 a8 96 c2 e2 a6 cd df d4 7f 46 4a 3b e9 dd cf a5 |.........FJ;....| -00000240 75 d5 cc 67 35 81 d5 2e e4 68 c4 56 1a 46 33 5a |u..g5....h.V.F3Z| -00000250 f2 79 32 6b 4e a0 6b 76 53 53 04 73 86 fd bd e2 |.y2kN.kvSS.s....| -00000260 f7 f8 14 0f 0a a8 10 6d a1 bf f8 d0 27 8d cb e8 |.......m....'...| -00000270 a5 51 16 4b 11 a2 8a 6f 22 c5 7c bc c5 7a 0b df |.Q.K...o".|..z..| -00000280 70 1d c4 93 ec 87 78 12 77 e3 85 5a 3c 29 d8 f7 |p.....x.w..Z<)..| -00000290 ab a4 c6 10 50 ed d5 2a 3f b1 84 73 1e 7f 99 eb |....P..*?..s....| -000002a0 31 9c 2c d2 6a 80 4a 5e 7c aa 64 e7 83 df a9 17 |1.,.j.J^|.d.....| -000002b0 c3 4c 13 c8 c1 d7 1b f5 be c9 00 cf ec 7e a5 ab |.L...........~..| -000002c0 89 9c b0 72 fd f0 cb 54 17 03 03 00 a4 28 34 92 |...r...T.....(4.| -000002d0 a7 52 92 5d a0 99 6b e6 22 c5 f6 76 86 1b 0b d6 |.R.]..k."..v....| -000002e0 b7 a8 67 c1 04 b8 1c ac 7b 02 f5 0a 20 41 dd 43 |..g.....{... 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59 97 a3 3f 71 cd 1d a2 1d ff 1f b2 81 a1 fa |.Y..?q..........| +00000070 97 35 f8 89 50 2c ff f4 d0 eb 47 84 79 84 45 14 |.5..P,....G.y.E.| +00000080 03 03 00 01 01 17 03 03 00 17 be c1 7c 9b 05 ca |............|...| +00000090 8a d3 2c 00 0c 42 6c 56 25 6a 6b 36 a6 d7 b1 cf |..,..BlV%jk6....| +000000a0 84 17 03 03 02 22 a6 0f ae d8 01 c0 b4 f4 e1 73 |.....".........s| +000000b0 f5 79 b8 04 24 14 b4 72 8a d2 40 74 9b d4 33 28 |.y..$..r..@t..3(| +000000c0 ef 0d bd 8b 82 c4 76 c4 2d 6a 87 64 bc 53 bc 41 |......v.-j.d.S.A| +000000d0 ac 46 f5 72 c4 2f 7a d7 34 36 15 c0 df 7c 2c cf |.F.r./z.46...|,.| +000000e0 fb f4 5b da d0 5b 18 4c d0 d7 44 de f2 d2 dd 53 |..[..[.L..D....S| +000000f0 9c 44 07 fc 04 ec 1f f0 c7 88 56 89 6e 2c ac a9 |.D........V.n,..| +00000100 2d 90 cf 65 4f e9 74 75 73 90 3b 51 0f b2 6a 32 |-..eO.tus.;Q..j2| +00000110 a1 61 37 9a b0 75 e6 b0 ca b7 ff cb 72 32 20 5b |.a7..u......r2 [| +00000120 67 a1 af 58 af bc f3 aa 32 fe d4 9e 00 9a 00 8a |g..X....2.......| +00000130 c0 bd fb b6 6a bd df 4c 4a 5e 5b b9 af f6 8b e0 |....j..LJ^[.....| +00000140 1d 1c fa bf b3 a1 88 bb 41 06 3e 2b a5 ae 67 e7 |........A.>+..g.| +00000150 98 61 0d d0 e3 44 52 44 ab c2 22 53 26 15 2d cb |.a...DRD.."S&.-.| +00000160 bb af c3 ae ee 5d da 04 86 1c bb 41 54 56 0c 76 |.....].....ATV.v| +00000170 f4 ec da b6 db 6f ca 61 78 b2 22 a7 ff 95 0d 62 |.....o.ax."....b| +00000180 b3 05 de e2 5e 89 ce 05 9e 02 ea 62 52 73 c2 87 |....^......bRs..| +00000190 dd b2 00 2e 75 1d 4f e7 79 c2 1f 9c 1d cc 8c 11 |....u.O.y.......| +000001a0 68 ad 4c 1c 75 4a 12 cf 7d 90 7e 04 55 10 c7 d2 |h.L.uJ..}.~.U...| +000001b0 31 53 fb a5 ac 21 c2 e7 71 54 b7 42 b0 22 d4 eb |1S...!..qT.B."..| +000001c0 06 50 ab 5c 93 23 c3 87 b1 ff fd 1e f7 5e bf 37 |.P.\.#.......^.7| +000001d0 d7 26 7b 2c 9d b8 65 a3 ea 7d fc 48 7c 6a 77 0b |.&{,..e..}.H|jw.| +000001e0 78 8a c1 16 72 6b 05 38 ef 37 f7 3f e2 f9 b9 07 |x...rk.8.7.?....| +000001f0 d6 04 69 9f 33 3e b4 8c fa eb 9a 0a a7 3d ee f2 |..i.3>.......=..| +00000200 d5 d3 1e b2 20 0d c7 b3 88 ee c9 03 53 41 09 35 |.... .......SA.5| +00000210 63 4e 1d b3 0b 9e 1a 7e 2d 0c 0e 42 93 6e 3a 1c |cN.....~-..B.n:.| +00000220 45 3e 22 aa 63 1b 72 3d a3 3e 70 0a bb fa 55 3a |E>".c.r=.>p...U:| +00000230 d0 03 d7 fb ac 12 41 2f 9e 42 f1 d0 b4 91 3c d4 |......A/.B....<.| +00000240 2f d5 81 c2 c9 a2 90 9d 1a 9f fd 08 4c 1e ac 67 |/...........L..g| +00000250 95 e1 75 2d d3 4e 24 ea 01 28 f8 b0 ba a4 67 11 |..u-.N$..(....g.| +00000260 92 66 9f 45 e8 66 ef b7 67 77 ad ed 0c 65 b8 27 |.f.E.f..gw...e.'| +00000270 67 e2 18 53 22 6f 25 f4 f0 a2 5c 8c 72 63 cf 32 |g..S"o%...\.rc.2| +00000280 36 84 92 7f c1 6b d4 38 78 4c ba 43 eb 90 7b 95 |6....k.8xL.C..{.| +00000290 8f f2 fb 7d de f6 ac 3b 15 c9 f7 f0 d7 c8 6d 68 |...}...;......mh| +000002a0 1e 74 99 9e c3 86 fe a6 48 83 3b 7a 97 00 04 e6 |.t......H.;z....| +000002b0 f8 d8 3f 40 dc c0 03 3a a3 84 d4 76 a7 fb 27 a5 |..?@...:...v..'.| +000002c0 83 f9 52 84 23 6a e3 20 17 03 03 00 a4 47 3d c3 |..R.#j. .....G=.| +000002d0 49 a2 67 8e f0 4f df 4c 70 03 f4 ef 21 26 ef f8 |I.g..O.Lp...!&..| +000002e0 f7 99 28 9b a5 dc c0 0b 25 72 43 8a 32 0a fa 79 |..(.....%rC.2..y| +000002f0 f1 7d 18 f3 c9 ed 8a cf 52 97 9b bc 4c c1 a5 46 |.}......R...L..F| +00000300 14 67 d4 47 93 73 50 01 5f 05 1c d4 e2 05 a2 26 |.g.G.sP._......&| +00000310 c3 dd 0d ab 18 98 b4 97 45 d3 85 32 24 eb cc 54 |........E..2$..T| +00000320 80 39 c8 2a 61 cb 1e 53 0b 08 13 db 81 05 7d 52 |.9.*a..S......}R| +00000330 85 a4 8c 62 a9 03 a5 ee 2a 78 7a 26 5e 14 fc 32 |...b....*xz&^..2| +00000340 25 a7 21 7a 52 44 b2 c1 d0 02 3c ff c9 10 16 e1 |%.!zRD....<.....| +00000350 65 19 81 7f 13 b2 c3 51 63 2c 9d f4 5c ce ab 18 |e......Qc,..\...| +00000360 7a 2c 30 60 72 44 8e 2a ee c0 d8 b7 4c 64 0b 45 |z,0`rD.*....Ld.E| +00000370 7b 17 03 03 00 35 4e a4 17 a0 ca be 84 7a 75 7a |{....5N......zuz| +00000380 1d a6 b1 b3 d3 f7 9b 8d 05 be 31 22 99 0d 5e dd |..........1"..^.| +00000390 ac 7e 5e d9 d9 20 dd e7 f9 b5 26 fc 1e 8b d2 18 |.~^.. ....&.....| +000003a0 07 de 46 c4 e6 5d 63 ce 3d 92 88 |..F..]c.=..| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 10 bd 5d 23 36 |..........5..]#6| -00000010 58 43 f4 bb 5e 4e ee 43 fd 0e a1 d9 de 81 99 54 |XC..^N.C.......T| -00000020 de 6e 82 33 71 8a 45 a7 35 f1 cd fb 5f bf 46 20 |.n.3q.E.5..._.F | -00000030 a5 79 d6 87 aa f4 29 51 02 f5 4e 69 ef a5 d7 d6 |.y....)Q..Ni....| -00000040 17 03 03 00 17 21 1f 90 0b 01 63 89 6a af 53 72 |.....!....c.j.Sr| -00000050 51 c0 11 01 7b 09 dd 40 82 dd e1 32 17 03 03 00 |Q...{..@...2....| -00000060 13 93 5d c1 19 16 5c 17 1a 7b 92 a0 9b f5 14 57 |..]...\..{.....W| -00000070 85 39 4a ac |.9J.| +00000000 14 03 03 00 01 01 17 03 03 00 35 d9 c0 4f 94 f1 |..........5..O..| +00000010 eb 19 6d 6e dd f5 a3 84 34 c0 a0 e3 39 68 aa b6 |..mn....4...9h..| +00000020 5f b9 e4 89 16 74 7b 77 ef 43 61 fa 86 5d 40 29 |_....t{w.Ca..]@)| +00000030 30 6b 94 c3 cd a4 48 2e 34 b8 c6 30 17 d4 a8 ff |0k....H.4..0....| +00000040 17 03 03 00 17 1f d3 5a ec 58 ba d5 29 af 5f 9f |.......Z.X..)._.| +00000050 f4 8d 61 c7 6a 14 a7 d6 a0 c5 f9 b8 17 03 03 00 |..a.j...........| +00000060 13 66 78 21 38 f0 b1 6b ae c1 69 26 b8 96 29 98 |.fx!8..k..i&..).| +00000070 33 7a 21 e3 |3z!.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 index 0b4a17af3a2..7be579ed025 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,62 +7,63 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 a8 21 4e 51 6a |....z...v...!NQj| -00000010 ce ba 17 cc 2d 25 b3 31 59 6a 3f 81 eb e6 ac a0 |....-%.1Yj?.....| -00000020 91 d9 ef 76 a1 5f bb 63 ab 2c 6b 20 00 00 00 00 |...v._.c.,k ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 e9 b6 5e 51 86 |....z...v....^Q.| +00000010 9a a7 7b cf 16 9e d8 1b 05 04 cb f3 8d 70 62 af |..{..........pb.| +00000020 cc 91 5f 16 74 ab 5a 47 7f ef 95 20 00 00 00 00 |.._.t.ZG... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 81 |..+.....3.$... .| -00000060 4c a8 07 aa 6b 4a f9 44 77 78 a9 57 d0 07 55 07 |L...kJ.Dwx.W..U.| -00000070 9a c2 8e 33 bf c4 09 ee 49 51 5c fe f1 7b 30 14 |...3....IQ\..{0.| -00000080 03 03 00 01 01 17 03 03 00 17 5a 22 a1 07 01 ea |..........Z"....| -00000090 97 bd 5a 59 3a 21 de 9c 45 0c 41 ff 34 45 35 ab |..ZY:!..E.A.4E5.| -000000a0 25 17 03 03 01 50 a1 8c 19 e7 0c 69 d3 e0 f6 53 |%....P.....i...S| -000000b0 95 15 13 4c e3 c3 3f 35 d9 73 c9 fe 24 b0 14 5f |...L..?5.s..$.._| -000000c0 b6 9e 94 20 cf 80 f7 88 7c 0f be 4c 70 16 00 2a |... ....|..Lp..*| -000000d0 55 02 aa a9 4b 7f a7 a5 b8 46 09 9e 18 78 78 66 |U...K....F...xxf| -000000e0 22 c2 31 19 12 f7 e4 7e f3 26 39 7d cd 5e 74 24 |".1....~.&9}.^t$| -000000f0 fb 75 7d b7 2c b5 fb e0 49 bd da 96 e1 c3 63 8f |.u}.,...I.....c.| -00000100 e3 28 43 bb 32 a7 fd 9c ab 54 ba ce 07 4a 23 35 |.(C.2....T...J#5| -00000110 a4 3a ff 43 40 19 ef 38 07 02 ba d6 c4 f0 bf 63 |.:.C@..8.......c| -00000120 aa b3 ea 55 d0 e1 a9 f3 cb 04 6b 1b 8d 35 3a f8 |...U......k..5:.| -00000130 0b 1c 40 99 fe b0 04 5f d1 5b 3f 4b be fe b5 96 |..@...._.[?K....| -00000140 f0 49 3d bf a5 92 f3 bd a6 4c 47 24 f8 b5 7c 45 |.I=......LG$..|E| -00000150 47 85 9b 08 a1 da 51 7a ce 3f 32 66 de 89 c0 c3 |G.....Qz.?2f....| -00000160 ac da 73 0d 15 14 18 e6 a0 7d 07 26 44 df 55 b7 |..s......}.&D.U.| -00000170 6e 4e fa c0 f5 5e 42 3a d9 29 d3 1d e6 cf 3c 8c |nN...^B:.)....<.| -00000180 6d c1 d9 f9 04 f0 57 dc 47 4e d1 e2 a1 f1 a1 c9 |m.....W.GN......| -00000190 2e da 97 4d 65 65 04 54 e7 80 f1 88 b2 34 26 61 |...Mee.T.....4&a| -000001a0 77 8a 1f bb 82 7f 4b ce b3 5a 55 60 e1 3a ef 95 |w.....K..ZU`.:..| -000001b0 bd 34 fc ef 2b 18 4b bb 8a cf ba 3a 69 43 f4 59 |.4..+.K....:iC.Y| -000001c0 98 a1 95 a3 22 f6 b5 1a 84 83 cf cb 90 eb 28 29 |....".........()| -000001d0 b3 84 e1 0d 37 9e 98 96 91 73 f1 7f d7 9b 71 38 |....7....s....q8| -000001e0 6e bc 2e 60 2d 27 0c 18 fd 2a b8 76 01 33 2f 95 |n..`-'...*.v.3/.| -000001f0 6e 0b bf 2b 26 5e 17 03 03 00 59 ed 43 2f e8 df |n..+&^....Y.C/..| -00000200 f3 2f 91 f3 dc 1b aa ff d3 3b 28 1f 78 21 fb e2 |./.......;(.x!..| -00000210 7d 6e 03 09 98 c1 23 09 d7 45 da b8 e0 5a e5 27 |}n....#..E...Z.'| -00000220 38 9a 2f da 9b d3 04 35 f5 b9 31 b0 c0 1f 8a 1e |8./....5..1.....| -00000230 d8 8a 19 f1 38 af a6 74 ac e5 b4 0d 45 83 b4 59 |....8..t....E..Y| -00000240 83 42 97 14 23 55 71 ef 66 8c 35 69 3f 2c 88 63 |.B..#Uq.f.5i?,.c| -00000250 8d 3b 05 fe 17 03 03 00 35 47 82 ec 22 f4 86 6a |.;......5G.."..j| -00000260 b7 c1 d8 64 3b 42 f4 ca 5c 3d ba a3 6a ea 77 6a |...d;B..\=..j.wj| -00000270 d6 52 e3 b0 42 fb c2 f1 2c b1 ef 44 ed 11 29 6d |.R..B...,..D..)m| -00000280 2b 6f 13 0f 42 48 a0 2e 5b ba a1 93 6b de |+o..BH..[...k.| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 b1 |..+.....3.$... .| +00000060 4a 7c 94 ae a4 17 1f 8f b0 2c 5e 00 ea 9c d6 b9 |J|.......,^.....| +00000070 c6 cc b4 3f 01 ed 38 94 c5 fd d5 04 73 d6 5d 14 |...?..8.....s.].| +00000080 03 03 00 01 01 17 03 03 00 17 e5 d8 0b 47 d9 c5 |.............G..| +00000090 55 14 af e0 95 2f 52 1a 4d eb 1c cf 8a 82 5c 20 |U..../R.M.....\ | +000000a0 61 17 03 03 01 50 bb bb 3d 0a 68 f2 ad 39 3e 98 |a....P..=.h..9>.| +000000b0 0e f0 f6 15 e8 6d ec 4a b4 9c be 25 fa eb 09 4b |.....m.J...%...K| +000000c0 fd e4 03 a3 62 74 d0 d1 3b 02 1c f6 86 f1 3e ec |....bt..;.....>.| +000000d0 c9 45 24 a4 4e 6b d8 c4 7e 24 4e fb eb 12 01 3b |.E$.Nk..~$N....;| +000000e0 ca 44 ec 5b 1e a7 1b d0 1a c4 86 b5 f9 19 91 0a |.D.[............| +000000f0 a8 4e 3b bd 76 26 a0 6f 4e da cf 07 98 90 38 bb |.N;.v&.oN.....8.| +00000100 fe 53 cd 24 59 08 c5 06 12 2c 5b 99 cf 09 c9 a4 |.S.$Y....,[.....| +00000110 1e ed 01 cc af 39 5b 08 b3 45 bd 67 99 e9 d9 59 |.....9[..E.g...Y| +00000120 72 e9 a6 d4 ae 71 c2 a2 e9 ed 49 52 ab 4f 69 0e |r....q....IR.Oi.| +00000130 0a 0b a1 27 19 69 88 75 bc b8 37 ad c1 db ed 36 |...'.i.u..7....6| +00000140 c2 1c 17 06 d9 d9 1f c3 11 89 cb 7f fb 67 ac 11 |.............g..| +00000150 b4 9b cf 4d 64 65 39 3a 64 3f 25 39 5e 93 e4 3c |...Mde9:d?%9^..<| +00000160 0e 33 9d 8c ee e6 a2 fe 12 51 47 a6 81 d2 af 63 |.3.......QG....c| +00000170 42 2a 1d 4b fe e0 09 e5 f6 86 16 c7 82 47 10 af |B*.K.........G..| +00000180 0a 14 58 ed 62 cc 5e 07 af 9f 86 f0 ee 17 81 bc |..X.b.^.........| +00000190 e4 55 1d 50 9a ea e5 5e c4 6e 23 c0 65 c2 53 53 |.U.P...^.n#.e.SS| +000001a0 cc 54 12 aa c7 f9 66 62 84 b4 9f d0 bb 99 0c 0b |.T....fb........| +000001b0 88 8f 8b e2 e7 25 a0 96 c8 da a8 52 d5 7a 5e f0 |.....%.....R.z^.| +000001c0 77 13 44 79 e4 3d f8 3e d0 27 f7 0a 6f 7b fb f9 |w.Dy.=.>.'..o{..| +000001d0 e9 49 b6 ce 4c 5d e3 00 c7 4b e5 dd e5 02 02 a2 |.I..L]...K......| +000001e0 dc e5 aa 7c 76 ea 0d 7e 86 14 3b e4 88 f8 12 27 |...|v..~..;....'| +000001f0 40 86 f6 43 f1 39 17 03 03 00 59 21 4f d3 62 81 |@..C.9....Y!O.b.| +00000200 d8 c5 60 0f e4 ab 8a 68 af d9 d3 ae cb 5e c2 3c |..`....h.....^.<| +00000210 d2 42 12 4d 44 e1 2c fb 80 a1 7d c2 97 62 74 12 |.B.MD.,...}..bt.| +00000220 31 8d 46 16 59 7e cf 96 18 5e 0d c1 2c 05 d3 06 |1.F.Y~...^..,...| +00000230 8c c8 2f 5f 99 f1 62 0a e3 05 1f 72 12 a4 90 c3 |../_..b....r....| +00000240 59 92 6e e4 90 2c 39 8a fb 31 9b 89 8e 56 6c f4 |Y.n..,9..1...Vl.| +00000250 e3 e9 58 f4 17 03 03 00 35 7e 1b cf 69 8e 10 33 |..X.....5~..i..3| +00000260 65 f4 e8 69 b5 37 a6 39 2d e7 0d 70 81 b8 a3 74 |e..i.7.9-..p...t| +00000270 90 d7 ad 9b bb bc 16 ba 9a e2 22 40 ae 4d 57 37 |.........."@.MW7| +00000280 09 60 7f c4 3d 5c 34 5c ae ae 0d 9c 52 12 |.`..=\4\....R.| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 11 45 8f b2 e0 |..........5.E...| -00000010 87 3d 09 94 93 16 19 04 3d 84 6c e5 14 5e c6 8b |.=......=.l..^..| -00000020 73 1a 53 4c d0 f4 11 27 0c 0d 05 c7 9d ba d0 04 |s.SL...'........| -00000030 37 ed 8b 8a 65 34 54 b1 07 36 92 8c 8c a8 30 b7 |7...e4T..6....0.| -00000040 17 03 03 00 17 ea fc b8 84 8d f0 9d 8e 1c 2c 65 |..............,e| -00000050 10 a8 69 7f dd 3c a4 80 45 5d c3 38 17 03 03 00 |..i..<..E].8....| -00000060 13 15 4b b7 23 2f 55 b0 ae d3 3f f6 68 c9 b2 ef |..K.#/U...?.h...| -00000070 d7 e2 18 49 |...I| +00000000 14 03 03 00 01 01 17 03 03 00 35 ee a8 61 80 38 |..........5..a.8| +00000010 22 86 e2 21 e0 8b e7 77 90 3d d4 93 20 9b 04 30 |"..!...w.=.. ..0| +00000020 ac d4 62 b8 4c d1 76 8a 1c b1 14 7c a0 7a cb a5 |..b.L.v....|.z..| +00000030 b9 46 d4 c8 aa 0b 09 b9 02 29 39 92 99 dd 99 4d |.F.......)9....M| +00000040 17 03 03 00 17 a0 84 78 f8 81 73 eb 0a e1 59 01 |.......x..s...Y.| +00000050 8a 4e 42 b9 f5 15 c8 7c 1b 73 08 ca 17 03 03 00 |.NB....|.s......| +00000060 13 a6 5a 12 6b ab ca 6a 1d 05 75 63 3b 44 03 e4 |..Z.k..j..uc;D..| +00000070 24 7d d1 38 |$}.8| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial index b30641131ea..46efc74ca86 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,84 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1a 00 18 08 04 04 03 08 07 08 05 08 |................| -000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 ff |................| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| +000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 6d fb 70 07 b4 |....z...v..m.p..| -00000010 2d 14 d1 d1 88 17 6a a3 b1 c1 e7 23 4b 06 c4 fa |-.....j....#K...| -00000020 4a 0e e1 2c ce 5a d5 c7 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|o...e....~p.y?..| +00000360 79 55 57 8c 75 0e cb 7b 6f 33 63 01 95 28 a3 2a |yUW.u..{o3c..(.*| +00000370 65 81 d2 59 e1 4e 6a 74 05 93 4d 88 16 cf 82 a9 |e..Y.Njt..M.....| +00000380 6b 55 6a 16 f8 e4 3b 89 73 c7 14 6b b6 60 dd 0f |kUj...;.s..k.`..| +00000390 74 4b d2 6a 60 93 13 1e 45 a8 83 9f 43 47 ab 88 |tK.j`...E...CG..| +000003a0 58 b6 78 7b e7 6b 1e c6 32 4d 47 15 1d 1e f3 2d |X.x{.k..2MG....-| +000003b0 26 17 03 03 00 35 d0 cd 48 6e e8 cf d0 f2 0a 60 |&....5..Hn.....`| +000003c0 4a a8 aa 27 f1 f1 cf eb e0 c6 cc 62 18 ec 51 ca |J..'.......b..Q.| +000003d0 2b f6 5b 50 d2 6e aa da c2 c6 99 49 89 81 7f 64 |+.[P.n.....I...d| +000003e0 81 88 c1 a2 ec b7 41 67 af a6 61 |......Ag..a| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 02 ed 34 8f 83 |..........5..4..| -00000010 44 27 8b 71 af c1 06 33 0b 25 aa 22 85 96 41 75 |D'.q...3.%."..Au| -00000020 4f fe 46 82 ba 95 91 4c cc a9 99 60 5c f7 72 7f |O.F....L...`\.r.| -00000030 e4 1f e4 99 6a c2 25 db d0 11 5d fc 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10e13ec33d9..dd8418d1c34 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest +++ b/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f6 01 00 00 f2 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 f8 01 00 00 f4 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,14 +7,14 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 77 00 05 00 05 01 00 00 00 00 00 0a 00 |...w............| +00000080 01 00 00 79 00 05 00 05 01 00 00 00 00 00 0a 00 |...y............| 00000090 06 00 04 00 1d 00 17 00 0b 00 02 01 00 00 0d 00 |................| -000000a0 1a 00 18 08 04 04 03 08 07 08 05 08 06 04 01 05 |................| -000000b0 01 06 01 05 03 06 03 02 01 02 03 ff 01 00 01 00 |................| -000000c0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| -000000d0 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 |..3.&.$... /.}.G| -000000e0 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| -000000f0 c4 cf c2 ed 90 99 5f 58 cb 3b 74 |......_X.;t| +000000a0 1c 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 |................| +000000b0 01 06 01 05 03 06 03 02 01 02 03 fe 61 ff 01 00 |............a...| +000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| +000000d0 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d |....3.&.$... /.}| +000000e0 a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 |.G.bC.(.._.).0..| +000000f0 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |........_X.;t| >>> Flow 2 (server to client) 00000000 16 03 03 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db 28 ce ae 3c 24 |jT....QY@..(..<$| +000003c0 f0 93 a6 55 f0 15 84 14 98 5d b8 a4 17 03 03 00 |...U.....]......| +000003d0 35 6e 1a aa 44 45 85 c2 29 8f c0 ff f0 64 78 e6 |5n..DE..)....dx.| +000003e0 81 a9 65 71 17 96 c6 51 1c ba ac 99 11 e3 7b c8 |..eq...Q......{.| +000003f0 5d d8 3f 40 0c a5 46 f6 fb 8a 89 85 ee b1 67 64 |].?@..F.......gd| +00000400 f2 3e 5e 2f bd 97 |.>^/..| >>> Flow 5 (client to server) -00000000 17 03 03 00 35 4b f7 dd b6 64 32 61 42 e7 b2 93 |....5K...d2aB...| -00000010 b8 4b dd 7c 25 c6 57 5b 68 d5 f2 d9 27 85 ee cf |.K.|%.W[h...'...| -00000020 09 44 79 8d 8e 14 0f 84 44 e5 16 a9 bf d9 14 bb |.Dy.....D.......| -00000030 22 73 c7 a9 24 c1 dd 38 1e 63 17 03 03 00 17 63 |"s..$..8.c.....c| -00000040 56 45 91 62 9c 00 4b d6 ae f4 dc 17 a2 89 55 0d |VE.b..K.......U.| -00000050 c3 d4 f3 12 8b bf 17 03 03 00 13 1f ac ed f8 80 |................| -00000060 31 7f 75 9f 6c a1 48 6e 20 89 b8 45 08 33 |1.u.l.Hn ..E.3| +00000000 17 03 03 00 35 31 45 d8 69 c6 de fe 8c 65 4c d8 |....51E.i....eL.| +00000010 51 24 b8 65 3b e0 1e 9e c2 56 ba a3 64 bd f5 ad |Q$.e;....V..d...| +00000020 1f d5 00 37 38 41 01 cf 3f 7e ff b0 56 9b 07 f8 |...78A..?~..V...| +00000030 9b 28 e6 71 82 c7 26 ac 0e 4f 17 03 03 00 17 ca |.(.q..&..O......| +00000040 a9 e1 dd a0 a5 62 80 09 b4 e8 7c 4a 5c 9f 0a d6 |.....b....|J\...| +00000050 12 bf a0 f2 c1 87 17 03 03 00 13 e6 b1 28 64 2c |.............(d,| +00000060 80 bd b5 2e af 22 b1 c2 52 92 00 7e 08 b6 |....."..R..~..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate b/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate index d1efba928c5..b7c9105fd82 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate +++ b/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 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8a 3f 81 b3 d5 23 d9 47 d5 4a 21 b0 96 |..F.?...#.G.J!..| +00000240 e2 da c9 a2 9a 26 60 d0 fa 2d 5d 0b 1f 16 b3 18 |.....&`..-].....| +00000250 c4 4e a1 34 ce 62 6c 7f 33 12 46 bb 45 3b fb 4a |.N.4.bl.3.F.E;.J| +00000260 ee fa 8b 86 ce ed 91 60 71 ac 70 57 2e a9 9c 64 |.......`q.pW...d| +00000270 cc fe de ad b8 f0 1a c1 4d c9 fe 92 01 1c 8a 64 |........M......d| +00000280 8a 7d c2 b1 cb ff ad 34 c8 51 ff 1b 89 9d dc 74 |.}.....4.Q.....t| +00000290 21 2a 62 1f 6c 5a 58 b7 10 d0 91 3f cd 1f 48 66 |!*b.lZX....?..Hf| +000002a0 32 7f 85 ee 35 d4 e8 97 17 6d 33 8c 78 bb 62 20 |2...5....m3.x.b | +000002b0 6a 12 6d 25 42 53 0b e6 23 41 e2 e9 95 30 0d 14 |j.m%BS..#A...0..| +000002c0 15 06 b4 9a 03 24 e9 de b9 f3 88 76 03 bc 1e 63 |.....$.....v...c| +000002d0 5c f0 63 ea 68 37 0f 54 74 9c 0f 4b 1c a8 6b 07 |\.c.h7.Tt..K..k.| +000002e0 af 69 46 29 8f 35 21 13 22 14 9c bf 92 5f b7 89 |.iF).5!."...._..| +000002f0 85 50 09 9a 60 38 0a 5b aa c3 50 c7 5e 47 06 d9 |.P..`8.[..P.^G..| +00000300 14 7a c0 3f fa f8 e5 59 af f5 4d ff 77 31 c4 39 |.z.?...Y..M.w1.9| +00000310 d9 5e c3 17 03 03 00 99 67 60 02 be 60 d1 8e 17 |.^......g`..`...| +00000320 46 e8 74 36 a4 97 99 2e d6 47 f0 d7 ef 08 55 67 |F.t6.....G....Ug| +00000330 03 e2 d9 77 ae 49 7b 29 32 98 2e 23 48 0d 0b 8e |...w.I{)2..#H...| +00000340 8c af 7d f6 67 6c 95 d0 3d 97 cf 05 b6 24 88 dc |..}.gl..=....$..| +00000350 6f a7 4b df e5 6c 62 dc 33 cb d4 fa a4 73 a7 97 |o.K..lb.3....s..| +00000360 d3 f1 4a d3 35 b6 3f 70 d1 da 14 98 b1 73 1a 7a |..J.5.?p.....s.z| +00000370 4a 09 da 12 48 94 07 33 a6 0b 6e 10 de a3 12 39 |J...H..3..n....9| +00000380 06 cf 42 1a b2 19 1a ba 57 31 d4 4c b8 3f 93 29 |..B.....W1.L.?.)| +00000390 ea c7 c9 5c 4e a7 fd 2c 47 18 d8 ed cc d3 57 40 |...\N..,G.....W@| +000003a0 9a 10 a7 4f 66 e0 2a 00 a5 0f df 71 c4 24 19 0b |...Of.*....q.$..| +000003b0 09 17 03 03 00 35 49 e3 dd 8f 80 a6 06 f8 65 07 |.....5I.......e.| +000003c0 0a a8 8e 6e b5 4a 50 12 f6 80 25 ba 19 6b d8 72 |...n.JP...%..k.r| +000003d0 28 ca 5c 09 81 24 99 8c bc 1a 6e 74 26 d9 5b 1c |(.\..$....nt&.[.| +000003e0 5f c3 ac 02 5f ca 37 09 3d 54 1c |_..._.7.=T.| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 4d ad c5 c7 cc |..........5M....| -00000010 5a 34 8a f8 5f 71 83 af fa 94 df 2a 94 a0 c4 8e |Z4.._q.....*....| -00000020 5e 00 f7 02 e1 30 62 a5 49 27 58 0b 1f fa 46 98 |^....0b.I'X...F.| -00000030 f0 b8 6f 42 e3 3a 7f 26 77 b6 46 8f ab c6 5d d6 |..oB.:.&w.F...].| -00000040 17 03 03 00 17 90 81 68 7a 48 8d 3b 59 9e 11 6f |.......hzH.;Y..o| -00000050 86 b5 24 e4 d9 e0 60 9f c2 4f 3d 33 |..$...`..O=3| +00000000 14 03 03 00 01 01 17 03 03 00 35 b2 31 29 a7 bf |..........5.1)..| +00000010 2f 3e 47 fe 9d 96 ef eb e0 fd ea 16 50 c6 e6 9b |/>G.........P...| +00000020 02 0a d2 60 f4 68 e5 71 23 94 78 44 9a da f6 a6 |...`.h.q#.xD....| +00000030 b5 c2 05 5c 42 34 fa 3c 8a 26 0e ff de 55 65 f1 |...\B4.<.&...Ue.| +00000040 17 03 03 00 17 0d 49 ba 61 c7 75 6f 46 db a1 08 |......I.a.uoF...| +00000050 26 c6 5b 03 77 f7 44 4f 62 14 8c 44 |&.[.w.DOb..D| >>> Flow 4 (server to client) -00000000 17 03 03 00 16 94 83 fa cc 66 b4 60 c0 c7 6d b3 |.........f.`..m.| -00000010 6e 8c 84 9d 89 76 61 3d 69 fd 29 |n....va=i.)| +00000000 17 03 03 00 16 6d fc a0 5f 7a 30 61 1b b5 76 be |.....m.._z0a..v.| +00000010 1d c5 3f 89 30 8d 00 f2 df e3 75 |..?.0.....u| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 60 cb 39 3d 7d 79 01 88 93 bd bf |.....`.9=}y.....| -00000010 23 3b d1 f3 a4 5e 78 ea cd 0f 5e |#;...^x...^| +00000000 17 03 03 00 16 db c8 50 7e bc 33 ee 4a 29 c8 ea |.......P~.3.J)..| +00000010 92 0b 53 34 60 31 ea c2 dc 27 fa |..S4`1...'.| >>> Flow 6 (server to client) -00000000 17 03 03 00 1a 88 13 b4 f1 5f cc 63 1e 99 9f 85 |........._.c....| -00000010 60 ff 0e 97 13 59 64 2a c3 0d 2b ac ca a2 25 |`....Yd*..+...%| +00000000 17 03 03 00 1a ba 79 87 59 a3 00 e5 15 e4 6f 2c |......y.Y.....o,| +00000010 4a 77 88 f4 e6 3a 40 02 7e c6 16 5c 9b d7 4c |Jw...:@.~..\..L| >>> Flow 7 (client to server) -00000000 17 03 03 00 1d 4f f2 48 ea b8 d6 75 8e 97 ab 54 |.....O.H...u...T| -00000010 29 57 50 5b 59 40 59 d3 7a 3c 01 43 6a 33 30 bb |)WP[Y@Y.z<.Cj30.| -00000020 d4 40 17 03 03 00 13 18 fc b7 ac eb e7 52 6d f0 |.@...........Rm.| -00000030 d4 d3 03 c6 5f 4e ea e3 7b 4e |...._N..{N| +00000000 17 03 03 00 1d c3 6d 2d fb 9e 8b 1c fd f0 e7 62 |......m-.......b| +00000010 50 b7 9a fc 6b e4 f0 cc 7d 8f a3 54 d5 ee ac 65 |P...k...}..T...e| +00000020 a2 6f 17 03 03 00 13 6c 3a f1 2e c3 df 42 25 a5 |.o.....l:....B%.| +00000030 43 18 44 01 4c 2c d3 5d 50 9c |C.D.L,.]P.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE b/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE index e6d81184e10..a265ed3bf1e 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 15 01 00 01 11 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 17 01 00 01 13 03 03 00 00 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b1 53 22 |....P.l.g.....S"| -00000310 96 67 07 90 d4 54 5c f1 5d ca cd f8 b5 35 94 e0 |.g...T\.]....5..| -00000320 21 e6 58 d7 b0 32 ca 24 90 11 30 f5 2b 1d ca 3d |!.X..2.$..0.+..=| -00000330 6a 6d 35 fa 17 03 03 00 99 ad ab 79 79 28 a0 a9 |jm5........yy(..| -00000340 9a cd 6d 8d 8c 92 2e 83 3d d4 be c7 50 61 f5 49 |..m.....=...Pa.I| -00000350 97 6c ab 92 d4 a7 1a 6f fc 5b dd 6e 73 0d bd d2 |.l.....o.[.ns...| -00000360 09 52 9f c9 de bb 8d 09 0a 4f e0 c5 9a 08 79 4c |.R.......O....yL| -00000370 fc 01 b3 94 45 f6 1d bd 8d 23 62 14 14 65 4c 2a |....E....#b..eL*| -00000380 d9 ad 8f 76 5a 5e 9d da 68 37 c7 b1 54 1e b4 bd |...vZ^..h7..T...| -00000390 d3 15 b8 89 94 87 8b 17 17 0f 4c dc db a8 3b 2f |..........L...;/| -000003a0 e5 e2 25 d6 ec f6 f4 bb ab d0 c5 7f 2a cb c6 57 |..%.........*..W| -000003b0 84 50 3a e7 62 8b 76 ae 6a 06 6b 85 1c 23 f1 d1 |.P:.b.v.j.k..#..| -000003c0 10 e2 6f 57 8c 20 7d da 2d f8 bc c5 df 4e 7c 22 |..oW. }.-....N|"| -000003d0 d8 36 17 03 03 00 35 62 fa d4 65 7f 9a 97 5b ec |.6....5b..e...[.| -000003e0 25 4a 3a 43 18 08 08 fb 7f 9d 3b 73 64 9e f3 7a |%J:C......;sd..z| -000003f0 28 f1 a0 0e 00 7a 51 74 0e 6b 90 c6 39 7a 09 98 |(....zQt.k..9z..| -00000400 6e d8 63 cc 1f f0 8f bc 37 66 27 a0 |n.c.....7f'.| +00000060 5e fc 78 92 45 9e ca 20 d2 6c 3b bf 0e e0 58 fe |^.x.E.. .l;...X.| +00000070 da dc 0e c6 bd b5 f0 73 bc a4 88 e3 76 e1 72 52 |.......s....v.rR| +00000080 70 4a 45 13 8f ae f9 ae aa 09 16 dd c9 35 a7 ba |pJE..........5..| +00000090 0d 5b d3 2e ab d1 76 09 0e d8 d3 e5 58 30 b9 f1 |.[....v.....X0..| +000000a0 14 03 03 00 01 01 17 03 03 00 17 d9 93 1f 77 ae |..............w.| +000000b0 32 02 15 ee 6b 22 91 04 ea ca 8a 9c fb 59 b5 4c |2...k".......Y.L| +000000c0 b4 7e 17 03 03 02 6d e2 84 6f d6 91 a4 66 4a 88 |.~....m..o...fJ.| +000000d0 94 72 9f ff c0 15 ab 69 11 c6 fe 05 d8 ab a5 72 |.r.....i.......r| +000000e0 53 b3 2a c8 e4 6a b7 a1 88 0a 94 86 a8 d1 7a 95 |S.*..j........z.| +000000f0 a9 66 1f 09 f6 ba 1f 83 d8 7b f2 be 7c 74 92 64 |.f.......{..|t.d| +00000100 fc 2a 2a 76 be d8 86 5b d5 40 60 93 1b 07 5f 45 |.**v...[.@`..._E| +00000110 20 fd 2c 67 a1 2c 10 7f e2 f0 a0 ea 54 e9 20 2e | .,g.,......T. .| +00000120 4c 71 dc f5 44 85 a6 6a c1 20 66 79 f1 99 13 ea |Lq..D..j. fy....| +00000130 84 7d 06 37 ef c6 b6 f7 f5 d9 78 e2 ea 4b 27 33 |.}.7......x..K'3| +00000140 ca f9 9b 5b 5a 4e fe 42 ae df 31 10 48 f3 48 90 |...[ZN.B..1.H.H.| +00000150 da 1e 00 c8 ae d0 5f ba 3a 4f 7a f8 41 d0 cd b9 |......_.:Oz.A...| +00000160 29 5e b1 76 a0 5b a6 c5 e5 61 54 0c db f1 11 67 |)^.v.[...aT....g| +00000170 ee d6 63 31 9a 67 15 73 79 11 08 6b 35 57 37 01 |..c1.g.sy..k5W7.| +00000180 f8 fe 19 24 d3 0a 63 33 0a 98 a7 d5 41 07 23 d2 |...$..c3....A.#.| +00000190 70 d6 57 b0 54 9a 0c 14 08 3b 38 d9 18 1b ef 94 |p.W.T....;8.....| +000001a0 00 62 64 7f 56 95 69 dd a5 db a5 d5 61 7e 0e 5c |.bd.V.i.....a~.\| +000001b0 39 40 fc ac 95 08 34 7a de 7e 1e 06 68 a9 33 bf |9@....4z.~..h.3.| +000001c0 b9 6c 10 c9 e8 f2 44 58 70 6c d4 41 57 f6 73 94 |.l....DXpl.AW.s.| +000001d0 7c 5e 24 d5 1f 2b 32 a0 a4 67 4c 06 9b d6 a3 0b ||^$..+2..gL.....| +000001e0 e0 a1 bc 63 0a a9 49 e0 30 49 5a a9 9e 4a 2d ca |...c..I.0IZ..J-.| +000001f0 63 43 1f c2 2d 71 fa e3 3a 3f 77 ee b6 8c 62 21 |cC..-q..:?w...b!| +00000200 32 e1 9b c1 61 52 41 38 38 a1 c1 30 57 33 ac 42 |2...aRA88..0W3.B| +00000210 1e 30 ad 37 78 87 0c eb b5 ed 90 c9 89 ab dc c5 |.0.7x...........| +00000220 0f a6 9c cc 5d d8 51 b4 86 8b b7 4a 7c da f2 24 |....].Q....J|..$| +00000230 64 1e c2 bf b8 8d f2 f9 d8 f8 af 30 95 05 43 f8 |d..........0..C.| +00000240 51 df 7e 86 a1 44 ab 35 b3 bf 90 02 cf 96 25 f0 |Q.~..D.5......%.| +00000250 09 00 df bf c2 2e 92 4f 2b a1 a6 fd 7c a2 9d 58 |.......O+...|..X| +00000260 64 7f 52 a3 58 a0 a3 0b ef 71 77 5d 46 3b a5 cb |d.R.X....qw]F;..| +00000270 4e f2 a2 e9 7f 05 66 ef 4d 9b 08 f8 43 7b 54 34 |N.....f.M...C{T4| +00000280 ce d8 1b 75 5f 49 e2 d6 ec 7a 14 bc 46 69 de e0 |...u_I...z..Fi..| +00000290 02 96 ae e4 c5 78 ad c4 f0 8a 79 b0 7a 00 f9 05 |.....x....y.z...| +000002a0 40 70 65 27 0c 0a 7e 0b d8 30 f2 21 ea 39 74 30 |@pe'..~..0.!.9t0| +000002b0 16 29 22 73 ce 78 87 e7 20 9b e0 f0 ed 91 5e 5e |.)"s.x.. .....^^| +000002c0 fc 1a 5f 02 9b 79 d2 f1 cb 15 10 d0 b1 a9 aa 1d |.._..y..........| +000002d0 cb 1f 9a 1e 07 f0 77 4a 64 a5 68 cb c6 16 ac d0 |......wJd.h.....| +000002e0 4d c9 76 54 21 8b 7a d5 54 b7 24 0d 44 2b cd 67 |M.vT!.z.T.$.D+.g| +000002f0 b4 86 9c 25 9e c5 19 98 00 06 a7 bc 23 6e d8 91 |...%........#n..| +00000300 b8 80 76 62 6e de 26 7c 66 06 f0 1e de fa bb 6d |..vbn.&|f......m| +00000310 76 3b 26 36 41 e9 6a 10 29 2d e8 ae e1 46 52 c1 |v;&6A.j.)-...FR.| +00000320 c5 99 27 bd 69 1e 09 49 85 81 a2 6c 4d fc dd 0b |..'.i..I...lM...| +00000330 bc 2b bc 28 17 03 03 00 99 42 f1 a6 38 15 2f 57 |.+.(.....B..8./W| +00000340 5b ef ee 5d 05 83 1a 8b 3f f4 12 74 d0 12 11 e2 |[..]....?..t....| +00000350 67 13 90 da 75 e2 8e 3d ad 3f 8a b0 8a 07 2c f1 |g...u..=.?....,.| +00000360 46 5a 35 86 2f fe 8b b8 ff 89 89 ef b4 94 bf 7c |FZ5./..........|| +00000370 b5 11 a7 a5 23 7e 5f 78 4e 51 78 2a 8a b5 6e 71 |....#~_xNQx*..nq| +00000380 ee 94 ca b6 23 a9 ca 7e 5f 48 b0 cd 10 59 f4 d4 |....#..~_H...Y..| +00000390 d9 dc 38 48 a5 38 8e 6a f2 db bc a2 14 3f 84 b0 |..8H.8.j.....?..| +000003a0 13 c1 d5 4f 63 e3 99 0a 69 dd 41 4f 46 5c 2c d9 |...Oc...i.AOF\,.| +000003b0 af 2e c2 05 4e d6 31 b3 91 ea 74 3e 83 18 04 bf |....N.1...t>....| +000003c0 e9 6b 18 44 26 13 ee ee 98 22 3f e4 c8 47 4a de |.k.D&...."?..GJ.| +000003d0 d6 e0 17 03 03 00 35 fc b2 46 4d 25 f7 11 e0 d8 |......5..FM%....| +000003e0 3e a1 41 9a 0d f4 67 fd 17 89 4d b1 25 b6 87 68 |>.A...g...M.%..h| +000003f0 88 1c 58 78 2f 49 0c 75 df d2 a4 aa 9b ca a6 84 |..Xx/I.u........| +00000400 45 82 ef 0e a7 e1 fd b1 31 a9 b8 d2 |E.......1...| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 ba 59 57 3e a3 |..........5.YW>.| -00000010 cd 02 7f 7c c2 16 f5 6b ec 42 66 aa a2 7a 3d 47 |...|...k.Bf..z=G| -00000020 43 c9 02 4b a3 72 d0 4d fa f8 32 28 1a 19 16 6a |C..K.r.M..2(...j| -00000030 7c 0e 4a 75 80 94 34 fe 30 7b d0 52 15 48 10 30 ||.Ju..4.0{.R.H.0| -00000040 17 03 03 00 17 5d de 53 df 00 21 ca 6d 69 ff 45 |.....].S..!.mi.E| -00000050 2e 53 57 db 3f 8d d8 6c 5a e1 f8 cc 17 03 03 00 |.SW.?..lZ.......| -00000060 13 43 d9 94 95 41 af 1d 80 a7 f2 28 2a 44 50 8d |.C...A.....(*DP.| -00000070 41 8f 82 09 |A...| +00000000 14 03 03 00 01 01 17 03 03 00 35 64 e1 2a 4b 9b |..........5d.*K.| +00000010 86 9d 31 09 2a 10 6b e3 85 96 e1 12 96 10 9c 95 |..1.*.k.........| +00000020 ec a9 de 50 44 87 6d 92 1d 7d 9e fc e9 c7 37 96 |...PD.m..}....7.| +00000030 89 5c 14 4b 2e 52 6e 14 85 64 6f 87 c0 62 1b 07 |.\.K.Rn..do..b..| +00000040 17 03 03 00 17 33 3b 3d 38 90 cb 5c d3 e3 9b eb |.....3;=8..\....| +00000050 be 25 db 88 71 54 91 23 0a 6d 59 81 17 03 03 00 |.%..qT.#.mY.....| +00000060 13 d6 16 4a 49 17 e8 e5 7d 59 4e cb 6f 5c 48 39 |...JI...}YN.o\H9| +00000070 e7 1b ab 93 |....| diff --git a/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE b/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE index 4e3eb760e69..77077dc0374 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f4 01 00 00 f0 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 f6 01 00 00 f2 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,84 +7,84 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 75 00 05 00 05 01 00 00 00 00 00 0a 00 |...u............| -00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1a 00 |................| -000000a0 18 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 ff 01 00 01 00 00 12 |................| -000000c0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| -000000d0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| -000000e0 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -000000f0 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| +00000080 01 00 00 77 00 05 00 05 01 00 00 00 00 00 0a 00 |...w............| +00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1c 00 |................| +000000a0 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 ff 01 00 01 00 |..........a.....| +000000c0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| +000000d0 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 |..3.&.$... /.}.G| +000000e0 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| +000000f0 c4 cf c2 ed 90 99 5f 58 cb 3b 74 |......_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 5d 2e e6 ba 34 |....z...v..]...4| -00000010 6c 42 bb 48 58 fe c5 f0 95 f9 34 11 04 b5 2a f4 |lB.HX.....4...*.| -00000020 f1 16 41 db 14 a0 19 d8 43 7c 09 20 00 00 00 00 |..A.....C|. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 aa d2 e0 ed f7 |....z...v.......| +00000010 09 69 09 31 0c 3b 24 68 04 4d f2 ed c5 00 c6 e8 |.i.1.;$h.M......| +00000020 c4 65 c9 ec e5 79 54 e5 48 e2 ec 20 00 00 00 00 |.e...yT.H.. ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 82 |..+.....3.$... .| -00000060 de 1b d1 83 7a e1 46 cc c7 36 15 62 48 07 6b f6 |....z.F..6.bH.k.| -00000070 eb 0a 53 a3 34 cd 34 ee cc 0c d0 c9 02 d5 38 14 |..S.4.4.......8.| -00000080 03 03 00 01 01 17 03 03 00 17 3d 0c 61 12 1b 55 |..........=.a..U| -00000090 6e f4 13 59 c8 4a e7 12 63 5d bf be 34 9f d7 2a |n..Y.J..c]..4..*| -000000a0 c2 17 03 03 02 6d 82 e8 43 93 e4 80 4d a7 d2 cf |.....m..C...M...| -000000b0 43 9d 71 8d cc 78 e8 e9 58 7e 28 53 57 6d 95 1e |C.q..x..X~(SWm..| -000000c0 fb 98 05 ec 66 47 d9 a1 6a b5 f4 28 09 4a 6c 4c |....fG..j..(.JlL| -000000d0 ee a0 1a 86 e7 29 c0 0e d8 e0 ca 2d bb 50 e4 34 |.....).....-.P.4| -000000e0 8d 66 be 54 b5 df 94 fc 69 0e a6 9a 76 8b 8f f5 |.f.T....i...v...| -000000f0 a9 01 1a 1d 8d b0 ae a9 0c 10 58 13 f9 91 80 43 |..........X....C| -00000100 69 f8 3f 03 14 8e 73 1a ce 52 72 86 3d 60 8b 0f |i.?...s..Rr.=`..| -00000110 38 e7 4b 43 f0 b3 4b 12 3a a7 cd 4b ac ef 7d fb |8.KC..K.:..K..}.| -00000120 27 3a 38 36 ad a5 90 eb 57 80 47 99 bc c6 58 55 |':86....W.G...XU| -00000130 15 6f 53 f7 83 ca 2b 89 ae be 23 9a 83 3c 6b b1 |.oS...+...#...6.O..{1..X....| +000000e0 aa 5c 7b f7 4b fd f1 75 8d 42 23 c9 6e 40 5b 4f |.\{.K..u.B#.n@[O| +000000f0 3c c2 fd c2 a7 7d ee c2 19 f7 45 94 63 b8 c9 12 |<....}....E.c...| +00000100 86 1f c7 9a 08 af 62 13 3c cf b5 ea fa 8c 5d 40 |......b.<.....]@| +00000110 de b3 ee fb ba 4e 12 98 8e ed f0 7d 90 ed 32 55 |.....N.....}..2U| +00000120 8f 60 a3 86 25 9f 26 54 e6 19 53 9d 32 3c 4b 03 |.`..%.&T..S.2.$.x| +000001d0 88 78 b9 37 97 aa 68 ff 69 ea b1 ab af 34 f3 9d |.x.7..h.i....4..| +000001e0 ff 56 62 dd 8d 51 a4 e0 cf 0b 11 2c 7d d4 56 d0 |.Vb..Q.....,}.V.| +000001f0 35 c6 08 ea fd 0e 27 a9 ee c0 02 15 7e 95 b0 d0 |5.....'.....~...| +00000200 54 9c 34 73 34 2d 6b 83 fc 0b fb 99 3d e7 31 95 |T.4s4-k.....=.1.| +00000210 3b 3e 59 37 33 52 ac e9 cb f6 d2 a4 a2 8c d2 f4 |;>Y73R..........| +00000220 b2 6e 48 3a 89 56 6d a6 89 20 7a e4 ce 66 a2 47 |.nH:.Vm.. z..f.G| +00000230 d6 0a 75 37 4f 50 95 ae 88 9d 64 2a 83 1a 83 7e |..u7OP....d*...~| +00000240 9f 92 83 14 92 99 fa ee f4 90 8a 17 78 78 50 21 |............xxP!| +00000250 69 86 3f 2b 7e 24 59 a0 e4 32 d7 cb d7 92 3d a0 |i.?+~$Y..2....=.| +00000260 8e 78 a7 e9 dd d3 e4 e4 73 a7 28 eb 0f e9 dd 03 |.x......s.(.....| +00000270 0e a3 50 66 cd 10 64 39 d1 cf 07 73 d6 4e 21 02 |..Pf..d9...s.N!.| +00000280 18 4a 40 a7 d1 cc ad 74 41 65 ef e3 89 ae 18 df |.J@....tAe......| +00000290 67 ac 10 be 25 b3 ff b9 a6 32 d1 62 77 59 5e f5 |g...%....2.bwY^.| +000002a0 a7 cd ee c0 f6 bc c5 55 56 6b 87 4b 2b ac 18 f7 |.......UVk.K+...| +000002b0 9d b5 2f 11 60 1d cf 99 bf 22 78 0a 91 2e 7d c6 |../.`...."x...}.| +000002c0 f2 4c 8f ef f0 1d 0e 94 e6 5c 7a dd b1 e0 79 3a |.L.......\z...y:| +000002d0 d0 6b f9 2c 61 28 84 dd d6 6c ad 5e 1e 15 50 11 |.k.,a(...l.^..P.| +000002e0 3b 6d d0 2d 4c e8 20 04 74 17 1f b3 24 14 cf 8f |;m.-L. .t...$...| +000002f0 60 4a a8 52 be 47 c9 01 12 2f 69 a7 76 ed 37 fd |`J.R.G.../i.v.7.| +00000300 b4 0c c4 c0 84 24 59 a7 1f 04 4d dc c5 32 6e c9 |.....$Y...M..2n.| +00000310 64 bc 6a 17 03 03 00 99 3e 25 47 3f 5c 17 f4 0a |d.j.....>%G?\...| +00000320 fb d4 b3 fc dc 16 68 79 b6 17 05 a2 ff a4 36 77 |......hy......6w| +00000330 0b d5 ea 44 7d 1c 6c d9 ee 42 b6 d3 c8 84 6c d9 |...D}.l..B....l.| +00000340 34 4a 00 c4 47 01 60 93 15 14 e8 76 0b 50 5c 74 |4J..G.`....v.P\t| +00000350 cc 81 aa c9 6f fd 98 ac f5 52 89 83 6f b1 fa 75 |....o....R..o..u| +00000360 4d 47 2f 55 af 93 fa ef 7b 46 84 82 d3 44 f1 73 |MG/U....{F...D.s| +00000370 05 c6 56 0b 16 53 67 0e 1c e0 86 77 6b 97 8f ea |..V..Sg....wk...| +00000380 8f 2b 86 d2 f6 6e f7 56 22 81 63 47 72 c7 d3 8d |.+...n.V".cGr...| +00000390 80 66 9d 49 64 6a eb 41 d5 27 7d 52 59 68 f3 36 |.f.Idj.A.'}RYh.6| +000003a0 3a 99 ba 07 6d 74 ed c7 4a 8a 1c e8 f7 08 31 b2 |:...mt..J.....1.| +000003b0 74 17 03 03 00 35 0b b9 e6 12 4b 48 b9 bb 5f 9d |t....5....KH.._.| +000003c0 43 60 23 dc 96 1d c2 f3 a1 7a d7 54 1d 2c 20 a7 |C`#......z.T., .| +000003d0 01 e1 71 92 9f 6a 23 d3 4d 54 7d 8c eb 37 17 53 |..q..j#.MT}..7.S| +000003e0 51 b4 b7 cc 36 c4 b9 0d 7b bb 0f |Q...6...{..| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 7d 5e 95 38 a2 |..........5}^.8.| -00000010 d3 f4 04 59 57 2a 1a 86 ac 12 8e 17 88 fb 52 25 |...YW*........R%| -00000020 1d 19 2c c5 ac 57 c9 bf af 07 e7 c1 4d f3 dd f0 |..,..W......M...| -00000030 13 ad a1 73 07 32 a4 c5 7c 9e ad 5a 88 59 57 4b |...s.2..|..Z.YWK| -00000040 17 03 03 00 17 e2 65 4f bd 1f bb 00 a1 6b ae a4 |......eO.....k..| -00000050 9d d3 d2 6e 7b 62 b5 09 19 d6 8f 1b 17 03 03 00 |...n{b..........| -00000060 13 96 de 94 2b a7 bb c5 4b 7e 02 b2 27 07 4d 49 |....+...K~..'.MI| -00000070 32 2b 83 48 |2+.H| +00000000 14 03 03 00 01 01 17 03 03 00 35 09 d2 9b 25 75 |..........5...%u| +00000010 88 22 bf a8 9c 70 53 2b 06 79 63 24 57 86 25 40 |."...pS+.yc$W.%@| +00000020 67 d1 a4 5d b4 01 21 f0 c3 15 57 6e 9d 58 c4 bf |g..]..!...Wn.X..| +00000030 b3 35 78 04 d9 35 50 77 3f 67 ae 16 f4 34 cc f2 |.5x..5Pw?g...4..| +00000040 17 03 03 00 17 0d 6b b5 4c ba db 2a f4 47 dd e4 |......k.L..*.G..| +00000050 7c 00 09 90 a8 8f 87 7d 5a 16 9b 13 17 03 03 00 ||......}Z.......| +00000060 13 f9 ad 6f d0 26 ed a0 48 67 22 90 62 fa f9 0d |...o.&..Hg".b...| +00000070 13 62 6f 46 |.boF| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven index 3d1ceaf9038..43036ead192 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 b0 00 44 aa 86 |....m...i....D..| -00000010 30 87 8e 3f f1 89 9a 4a f6 4c 3b 11 f3 4f e9 9f |0..?...J.L;..O..| -00000020 00 22 47 82 26 57 c7 d0 f9 59 6f 00 00 04 00 2f |."G.&W...Yo..../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 5e 02 50 2a dc |....m...i..^.P*.| +00000010 3b e2 5e 35 64 72 e1 e0 96 af b4 da a2 98 cb 78 |;.^5dr.........x| +00000020 47 3e d2 96 43 b0 b8 1d 5d 17 65 00 00 04 00 2f |G>..C...].e..../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 23 0d 00 00 1f 02 01 40 |;.......#......@| -000002a0 00 18 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 00 00 16 03 03 00 |................| -000002c0 04 0e 00 00 00 |.....| +00000290 3b e9 fa e7 16 03 03 00 25 0d 00 00 21 02 01 40 |;.......%...!..@| +000002a0 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 00 00 16 03 |...........a....| +000002c0 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) 00000000 16 03 03 02 0a 0b 00 02 06 00 02 03 00 02 00 30 |...............0| 00000010 82 01 fc 30 82 01 5e 02 09 00 9a 30 84 6c 26 35 |...0..^....0.l&5| @@ -87,40 +87,40 @@ 000001e0 be e8 91 b3 da 1a f5 5d a3 23 f5 26 8b 45 70 8d |.......].#.&.Ep.| 000001f0 65 62 9b 7e 01 99 3d 18 f6 10 9a 38 61 9b 2e 57 |eb.~..=....8a..W| 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| -00000210 03 03 00 86 10 00 00 82 00 80 10 ab 2f 0f b9 29 |............/..)| -00000220 9f 26 36 09 00 96 9a 3d 2a 01 50 03 f3 d6 ac fc |.&6....=*.P.....| -00000230 40 76 96 d0 e6 a6 67 89 24 b0 56 80 58 5e 6d 03 |@v....g.$.V.X^m.| -00000240 e3 0f dc 61 d1 de 25 95 8a 54 9f 5b 3e f2 31 dd |...a..%..T.[>.1.| -00000250 14 2a e2 de 7b 70 66 b5 ed 95 d9 cc 6f c0 b3 a1 |.*..{pf.....o...| -00000260 bb 41 b2 0f 7d e8 ce b5 11 eb 99 e2 ce c0 33 bc |.A..}.........3.| -00000270 6a 67 10 84 d2 dd ac 15 8f 8e aa 2b 1a 7b ca d3 |jg.........+.{..| -00000280 bb 4b 92 c4 b9 2b 08 c1 0d b2 cf 96 63 64 9d 12 |.K...+......cd..| -00000290 a6 93 cd 21 3b bc 8e 94 72 76 16 03 03 00 93 0f |...!;...rv......| -000002a0 00 00 8f 04 03 00 8b 30 81 88 02 42 00 d5 05 54 |.......0...B...T| -000002b0 b2 68 a5 04 d6 3c 7b 7d c1 be e3 d1 b4 25 42 d6 |.h...<{}.....%B.| -000002c0 2a 3a 2e ea 73 0d 57 ba 0f 96 78 66 c2 c5 d7 57 |*:..s.W...xf...W| -000002d0 79 9c 22 8b 76 e9 45 ff ef 92 e9 43 3e b8 8b b4 |y.".v.E....C>...| -000002e0 cf 3f 67 aa 70 d1 e8 a2 1c a8 3d 24 a2 78 02 42 |.?g.p.....=$.x.B| -000002f0 01 b2 17 64 66 2f 2e 0d 2d b9 1d 67 45 de 48 9e |...df/..-..gE.H.| -00000300 32 f2 1f 79 38 39 b8 bb 8b 7f 82 e9 46 fd 9b 1b |2..y89......F...| -00000310 b3 dd a4 9c 15 b2 a2 88 4c f7 42 a2 62 92 c0 d0 |........L.B.b...| -00000320 a1 78 aa 8b 2d 78 4f 02 5a f7 eb ca c7 34 fc b6 |.x..-xO.Z....4..| -00000330 6c 6e 14 03 03 00 01 01 16 03 03 00 40 bd 47 9b |ln..........@.G.| -00000340 ce 31 2c 09 d3 a8 2c bb 28 0c e8 bd 01 a9 54 34 |.1,...,.(.....T4| -00000350 a5 74 af e0 d2 38 f3 1b fa d0 2b a6 39 24 ae de |.t...8....+.9$..| -00000360 0a cf 4b c0 a2 3b bf 80 23 71 0a 60 ca 94 b7 23 |..K..;..#q.`...#| -00000370 80 e3 89 89 42 74 0b a1 c6 f6 d2 c0 79 |....Bt......y| +00000210 03 03 00 86 10 00 00 82 00 80 8b bd ee b3 4d 11 |..............M.| +00000220 f8 95 e6 74 12 6f 95 7d 45 cc 9b bc d5 e8 73 46 |...t.o.}E.....sF| +00000230 a2 7f 0c 52 34 af 8a 06 0c 4d a5 88 6a 15 85 90 |...R4....M..j...| +00000240 eb fc 90 5a 03 09 60 9d 93 2f f7 20 13 18 8d f4 |...Z..`../. ....| +00000250 8d db d7 f0 ac 03 a7 21 a6 2c 30 9d c0 c3 24 55 |.......!.,0...$U| +00000260 3b 21 91 c3 62 dc d4 74 cf fc 68 51 3c c1 be b0 |;!..b..t..hQ<...| +00000270 b3 13 81 7c 28 b0 3a f8 bd 46 ca f9 79 01 99 4b |...|(.:..F..y..K| +00000280 cc 4c ec 51 ca 05 29 45 21 10 df dc ac 40 91 fb |.L.Q..)E!....@..| +00000290 08 8d 41 50 bf 85 ee 41 dd 7a 16 03 03 00 92 0f |..AP...A.z......| +000002a0 00 00 8e 04 03 00 8a 30 81 87 02 42 01 09 94 ef |.......0...B....| +000002b0 f5 16 99 da ff 67 cf 7e 86 18 72 5f 5d ff 23 63 |.....g.~..r_].#c| +000002c0 9b 49 11 57 90 d4 a3 aa 0b 55 a7 eb e6 f2 57 bd |.I.W.....U....W.| +000002d0 f7 78 98 bd 50 72 f0 6a 94 02 92 e3 4e db fb bb |.x..Pr.j....N...| +000002e0 4b 53 ae df 4e c4 40 ef 02 5d 48 ff b1 7e 02 41 |KS..N.@..]H..~.A| +000002f0 28 0b cb da a6 5f c5 1b cc bb 06 14 d4 44 f1 ca |(...._.......D..| +00000300 a8 cb af 1c 49 dc 5b 97 bb 8e a8 fd db 81 4d 65 |....I.[.......Me| +00000310 99 46 cc 0a de 03 b6 02 32 c7 30 82 de 6e 6f a1 |.F......2.0..no.| +00000320 a5 c5 87 c3 23 9e 0f 2e cd 9d 6d ae 02 5b de 8d |....#.....m..[..| +00000330 e0 14 03 03 00 01 01 16 03 03 00 40 9e e7 01 6b |...........@...k| +00000340 69 11 8a 3a 2b 9a 08 bc aa 1c 8a c6 e2 a0 59 05 |i..:+.........Y.| +00000350 67 75 6f b0 2b c4 64 bd 72 08 c5 7c a2 8e 99 ec |guo.+.d.r..|....| +00000360 b7 9e ef b2 cd 58 33 a6 30 7e 5d 89 98 30 48 f3 |.....X3.0~]..0H.| +00000370 49 79 b6 58 87 04 65 ba 46 06 fb 0f |Iy.X..e.F...| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 54 52 4a 33 9e |...........TRJ3.| -00000020 bb 59 7e 21 03 a6 23 bd 68 18 43 b5 c5 c5 37 a2 |.Y~!..#.h.C...7.| -00000030 6f ac 8c 78 c5 cf 8f e6 01 df 17 53 45 6f 1a e0 |o..x.......SEo..| -00000040 9c 4a 3d 2c cb 0d 55 7d 32 81 ec 17 03 03 00 40 |.J=,..U}2......@| +00000010 00 00 00 00 00 00 00 00 00 00 00 8e 92 56 5a dc |.............VZ.| +00000020 6d f7 2a 51 ce 80 ac dd 14 09 60 0e 5a 98 29 7e |m.*Q......`.Z.)~| +00000030 53 45 9d bc d6 7b e8 91 46 98 22 2a 5b 83 b9 d3 |SE...{..F."*[...| +00000040 d3 5b 51 2c 9f e9 14 54 fd 57 80 17 03 03 00 40 |.[Q,...T.W.....@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 ba 75 93 00 86 1c bc 66 9e 27 2f 2b 5a 68 0e 44 |.u.....f.'/+Zh.D| -00000070 81 15 0d 67 e6 ee 7a 43 08 78 93 71 91 00 56 0e |...g..zC.x.q..V.| -00000080 c6 e1 73 4b af 2f e6 e0 92 4d e5 35 ea 53 7c 45 |..sK./...M.5.S|E| +00000060 8e 64 a5 f1 c4 4b 7d 58 f1 ea 15 67 eb a0 aa 75 |.d...K}X...g...u| +00000070 26 9c 2e dd fa f0 8c 3d 2c b2 53 04 cb 38 10 ce |&......=,.S..8..| +00000080 90 63 d8 79 1e 01 ac 51 4a 9c 48 64 50 a5 c0 e9 |.c.y...QJ.HdP...| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 8d 7e 99 bb 93 bd 5d ba 31 b0 0d |......~....].1..| -000000b0 1f 76 95 50 7c 1e 24 62 9d 05 65 3f ee b7 c2 24 |.v.P|.$b..e?...$| -000000c0 13 60 43 69 3a |.`Ci:| +000000a0 00 00 00 00 00 fd 89 05 54 0c 5f 44 3a 59 6d 77 |........T._D:Ymw| +000000b0 69 bc 99 0f 31 1b 65 00 9e 94 a5 1e 77 70 bd ff |i...1.e.....wp..| +000000c0 fc 9e a0 db c3 |.....| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given index 1c3b08f06fa..86a467a0130 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given @@ -1,58 +1,73 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 aa ad c9 dc 56 |....m...i......V| -00000010 79 2e da 42 a6 b2 9e 0a 85 a6 1b e0 5e cd 4e f5 |y..B........^.N.| -00000020 93 93 0c d5 62 a8 53 17 10 f7 e6 00 00 04 00 2f |....b.S......../| -00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| -00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| -00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| -00000060 03 03 02 03 03 01 02 01 03 02 02 02 04 02 05 02 |................| -00000070 06 02 |..| +00000000 16 03 01 00 b9 01 00 00 b5 03 03 ce d1 67 0f 46 |.............g.F| +00000010 83 cc 9a 9a a3 e2 7b 2b af e5 90 df 02 34 bc 3a |......{+.....4.:| +00000020 51 09 47 ad 71 c8 23 26 87 ec 10 00 00 38 c0 2c |Q.G.q.#&.....8.,| +00000030 c0 30 00 9f cc a9 cc a8 cc aa c0 2b c0 2f 00 9e |.0.........+./..| +00000040 c0 24 c0 28 00 6b c0 23 c0 27 00 67 c0 0a c0 14 |.$.(.k.#.'.g....| +00000050 00 39 c0 09 c0 13 00 33 00 9d 00 9c 00 3d 00 3c |.9.....3.....=.<| +00000060 00 35 00 2f 00 ff 01 00 00 54 00 0b 00 04 03 00 |.5./.....T......| +00000070 01 02 00 0a 00 0c 00 0a 00 1d 00 17 00 1e 00 19 |................| +00000080 00 18 00 16 00 00 00 17 00 00 00 0d 00 30 00 2e |.............0..| +00000090 04 03 05 03 06 03 08 07 08 08 08 09 08 0a 08 0b |................| +000000a0 08 04 08 05 08 06 04 01 05 01 06 01 03 03 02 03 |................| +000000b0 03 01 02 01 03 02 02 02 04 02 05 02 06 02 |..............| >>> Flow 2 (server to client) -00000000 16 03 03 00 31 02 00 00 2d 03 03 00 00 00 00 00 |....1...-.......| +00000000 16 03 03 00 37 02 00 00 33 03 03 00 00 00 00 00 |....7...3.......| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000020 00 00 00 44 4f 57 4e 47 52 44 01 00 00 2f 00 00 |...DOWNGRD.../..| -00000030 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| -00000040 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| -00000050 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| -00000060 09 2a 86 48 86 f7 0d 01 01 0b 05 00 30 1f 31 0b |.*.H........0.1.| -00000070 30 09 06 03 55 04 0a 13 02 47 6f 31 10 30 0e 06 |0...U....Go1.0..| -00000080 03 55 04 03 13 07 47 6f 20 52 6f 6f 74 30 1e 17 |.U....Go Root0..| -00000090 0d 31 36 30 31 30 31 30 30 30 30 30 30 5a 17 0d |.160101000000Z..| -000000a0 32 35 30 31 30 31 30 30 30 30 30 30 5a 30 1a 31 |250101000000Z0.1| -000000b0 0b 30 09 06 03 55 04 0a 13 02 47 6f 31 0b 30 09 |.0...U....Go1.0.| -000000c0 06 03 55 04 03 13 02 47 6f 30 81 9f 30 0d 06 09 |..U....Go0..0...| -000000d0 2a 86 48 86 f7 0d 01 01 01 05 00 03 81 8d 00 30 |*.H............0| -000000e0 81 89 02 81 81 00 db 46 7d 93 2e 12 27 06 48 bc |.......F}...'.H.| -000000f0 06 28 21 ab 7e c4 b6 a2 5d fe 1e 52 45 88 7a 36 |.(!.~...]..RE.z6| -00000100 47 a5 08 0d 92 42 5b c2 81 c0 be 97 79 98 40 fb |G....B[.....y.@.| -00000110 4f 6d 14 fd 2b 13 8b c2 a5 2e 67 d8 d4 09 9e d6 |Om..+.....g.....| -00000120 22 38 b7 4a 0b 74 73 2b c2 34 f1 d1 93 e5 96 d9 |"8.J.ts+.4......| -00000130 74 7b f3 58 9f 6c 61 3c c0 b0 41 d4 d9 2b 2b 24 |t{.X.la<..A..++$| -00000140 23 77 5b 1c 3b bd 75 5d ce 20 54 cf a1 63 87 1d |#w[.;.u]. T..c..| -00000150 1e 24 c4 f3 1d 1a 50 8b aa b6 14 43 ed 97 a7 75 |.$....P....C...u| -00000160 62 f4 14 c8 52 d7 02 03 01 00 01 a3 81 93 30 81 |b...R.........0.| -00000170 90 30 0e 06 03 55 1d 0f 01 01 ff 04 04 03 02 05 |.0...U..........| -00000180 a0 30 1d 06 03 55 1d 25 04 16 30 14 06 08 2b 06 |.0...U.%..0...+.| -00000190 01 05 05 07 03 01 06 08 2b 06 01 05 05 07 03 02 |........+.......| -000001a0 30 0c 06 03 55 1d 13 01 01 ff 04 02 30 00 30 19 |0...U.......0.0.| -000001b0 06 03 55 1d 0e 04 12 04 10 9f 91 16 1f 43 43 3e |..U..........CC>| -000001c0 49 a6 de 6d b6 80 d7 9f 60 30 1b 06 03 55 1d 23 |I..m....`0...U.#| -000001d0 04 14 30 12 80 10 48 13 49 4d 13 7e 16 31 bb a3 |..0...H.IM.~.1..| -000001e0 01 d5 ac ab 6e 7b 30 19 06 03 55 1d 11 04 12 30 |....n{0...U....0| -000001f0 10 82 0e 65 78 61 6d 70 6c 65 2e 67 6f 6c 61 6e |...example.golan| -00000200 67 30 0d 06 09 2a 86 48 86 f7 0d 01 01 0b 05 00 |g0...*.H........| -00000210 03 81 81 00 9d 30 cc 40 2b 5b 50 a0 61 cb ba e5 |.....0.@+[P.a...| -00000220 53 58 e1 ed 83 28 a9 58 1a a9 38 a4 95 a1 ac 31 |SX...(.X..8....1| -00000230 5a 1a 84 66 3d 43 d3 2d d9 0b f2 97 df d3 20 64 |Z..f=C.-...... d| -00000240 38 92 24 3a 00 bc cf 9c 7d b7 40 20 01 5f aa d3 |8.$:....}.@ ._..| -00000250 16 61 09 a2 76 fd 13 c3 cc e1 0c 5c ee b1 87 82 |.a..v......\....| -00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| -00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| -00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 23 0d 00 00 1f 02 01 40 |;.......#......@| -000002a0 00 18 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 00 00 16 03 03 00 |................| -000002c0 04 0e 00 00 00 |.....| +00000020 00 00 00 44 4f 57 4e 47 52 44 01 00 c0 30 00 00 |...DOWNGRD...0..| +00000030 0b ff 01 00 01 00 00 0b 00 02 01 00 16 03 03 02 |................| +00000040 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 4b 30 |Y...U..R..O0..K0| +00000050 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d 3f e2 |..............?.| +00000060 5b ea a6 30 0d 06 09 2a 86 48 86 f7 0d 01 01 0b |[..0...*.H......| +00000070 05 00 30 1f 31 0b 30 09 06 03 55 04 0a 13 02 47 |..0.1.0...U....G| +00000080 6f 31 10 30 0e 06 03 55 04 03 13 07 47 6f 20 52 |o1.0...U....Go R| +00000090 6f 6f 74 30 1e 17 0d 31 36 30 31 30 31 30 30 30 |oot0...160101000| +000000a0 30 30 30 5a 17 0d 32 35 30 31 30 31 30 30 30 30 |000Z..2501010000| +000000b0 30 30 5a 30 1a 31 0b 30 09 06 03 55 04 0a 13 02 |00Z0.1.0...U....| +000000c0 47 6f 31 0b 30 09 06 03 55 04 03 13 02 47 6f 30 |Go1.0...U....Go0| +000000d0 81 9f 30 0d 06 09 2a 86 48 86 f7 0d 01 01 01 05 |..0...*.H.......| +000000e0 00 03 81 8d 00 30 81 89 02 81 81 00 db 46 7d 93 |.....0.......F}.| +000000f0 2e 12 27 06 48 bc 06 28 21 ab 7e c4 b6 a2 5d fe |..'.H..(!.~...].| +00000100 1e 52 45 88 7a 36 47 a5 08 0d 92 42 5b c2 81 c0 |.RE.z6G....B[...| +00000110 be 97 79 98 40 fb 4f 6d 14 fd 2b 13 8b c2 a5 2e |..y.@.Om..+.....| +00000120 67 d8 d4 09 9e d6 22 38 b7 4a 0b 74 73 2b c2 34 |g....."8.J.ts+.4| +00000130 f1 d1 93 e5 96 d9 74 7b f3 58 9f 6c 61 3c c0 b0 |......t{.X.la<..| +00000140 41 d4 d9 2b 2b 24 23 77 5b 1c 3b bd 75 5d ce 20 |A..++$#w[.;.u]. | +00000150 54 cf a1 63 87 1d 1e 24 c4 f3 1d 1a 50 8b aa b6 |T..c...$....P...| +00000160 14 43 ed 97 a7 75 62 f4 14 c8 52 d7 02 03 01 00 |.C...ub...R.....| +00000170 01 a3 81 93 30 81 90 30 0e 06 03 55 1d 0f 01 01 |....0..0...U....| +00000180 ff 04 04 03 02 05 a0 30 1d 06 03 55 1d 25 04 16 |.......0...U.%..| +00000190 30 14 06 08 2b 06 01 05 05 07 03 01 06 08 2b 06 |0...+.........+.| +000001a0 01 05 05 07 03 02 30 0c 06 03 55 1d 13 01 01 ff |......0...U.....| +000001b0 04 02 30 00 30 19 06 03 55 1d 0e 04 12 04 10 9f |..0.0...U.......| +000001c0 91 16 1f 43 43 3e 49 a6 de 6d b6 80 d7 9f 60 30 |...CC>I..m....`0| +000001d0 1b 06 03 55 1d 23 04 14 30 12 80 10 48 13 49 4d |...U.#..0...H.IM| +000001e0 13 7e 16 31 bb a3 01 d5 ac ab 6e 7b 30 19 06 03 |.~.1......n{0...| +000001f0 55 1d 11 04 12 30 10 82 0e 65 78 61 6d 70 6c 65 |U....0...example| +00000200 2e 67 6f 6c 61 6e 67 30 0d 06 09 2a 86 48 86 f7 |.golang0...*.H..| +00000210 0d 01 01 0b 05 00 03 81 81 00 9d 30 cc 40 2b 5b |...........0.@+[| +00000220 50 a0 61 cb ba e5 53 58 e1 ed 83 28 a9 58 1a a9 |P.a...SX...(.X..| +00000230 38 a4 95 a1 ac 31 5a 1a 84 66 3d 43 d3 2d d9 0b |8....1Z..f=C.-..| +00000240 f2 97 df d3 20 64 38 92 24 3a 00 bc cf 9c 7d b7 |.... d8.$:....}.| +00000250 40 20 01 5f aa d3 16 61 09 a2 76 fd 13 c3 cc e1 |@ ._...a..v.....| +00000260 0c 5c ee b1 87 82 f1 6c 04 ed 73 bb b3 43 77 8d |.\.....l..s..Cw.| +00000270 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d ae db |......@.a.Lr+...| +00000280 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db fe 3d |F..M...>...B...=| +00000290 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c |.`.\!.;.........| +000002a0 00 00 a8 03 00 1d 20 2f e5 7d a3 47 cd 62 43 15 |...... /.}.G.bC.| +000002b0 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| +000002c0 90 99 5f 58 cb 3b 74 08 04 00 80 b7 e4 25 c8 1f |.._X.;t......%..| +000002d0 ad fe 0a 42 24 f3 b1 07 90 82 db 78 82 dc d6 b8 |...B$......x....| +000002e0 fd 85 70 79 80 46 b0 73 f9 6f cc 43 58 98 af a2 |..py.F.s.o.CX...| +000002f0 ec 15 44 99 3d 90 c7 5f 69 c4 f2 d9 be ee 8e a4 |..D.=.._i.......| +00000300 71 f7 74 5d ea 46 cb 94 ae b8 6f 75 20 8a 6f 1c |q.t].F....ou .o.| +00000310 93 d6 00 37 17 87 b9 9e 7c 23 91 71 97 e5 41 ad |...7....|#.q..A.| +00000320 87 61 4c e0 a2 2a 4a ea 9b c3 6f 1a d2 a7 e4 be |.aL..*J...o.....| +00000330 95 37 f5 f3 ec df 57 ee a3 fc 41 2d 47 69 b8 50 |.7....W...A-Gi.P| +00000340 be e8 c7 ca 18 8c 9f 6e c8 f7 1c 16 03 03 00 25 |.......n.......%| +00000350 0d 00 00 21 02 01 40 00 1a 08 04 04 03 08 07 08 |...!..@.........| +00000360 05 08 06 04 01 05 01 06 01 05 03 06 03 02 01 02 |................| +00000370 03 fe 61 00 00 16 03 03 00 04 0e 00 00 00 |..a...........| >>> Flow 3 (client to server) 00000000 16 03 03 01 3c 0b 00 01 38 00 01 35 00 01 32 30 |....<...8..5..20| 00000010 82 01 2e 30 81 e1 a0 03 02 01 02 02 10 17 d1 81 |...0............| @@ -74,36 +89,23 @@ 00000110 8a 4e 34 40 39 d6 b3 10 dc 19 fe a0 22 71 b3 f5 |.N4@9......."q..| 00000120 8f a1 58 0d cd f4 f1 85 24 bf e6 3d 14 df df ed |..X.....$..=....| 00000130 0e e1 17 d8 11 a2 60 d0 8a 37 23 2a c2 46 aa 3a |......`..7#*.F.:| -00000140 08 16 03 03 00 86 10 00 00 82 00 80 14 f2 ac 22 |..............."| -00000150 fb 0b f8 03 a7 cf 23 d5 ea 9f b0 f2 64 ae 41 fe |......#.....d.A.| -00000160 33 f7 54 69 f5 41 b7 c1 91 6d 2b 3e 14 2a f6 c8 |3.Ti.A...m+>.*..| -00000170 96 45 00 28 13 f5 2f de 35 f9 64 89 5c 99 3e 89 |.E.(../.5.d.\.>.| -00000180 06 ff 59 56 69 db 5f 6e 02 84 dd 1c 44 7b 86 e8 |..YVi._n....D{..| -00000190 e3 d9 03 f1 16 9e 06 23 00 43 91 ec a9 dd da a4 |.......#.C......| -000001a0 ac fe 5b f8 62 f9 76 19 38 83 54 b4 8c 0b 02 f0 |..[.b.v.8.T.....| -000001b0 fa 7a 8e 2e da 9d e1 4a c6 51 92 9b f6 4b a1 31 |.z.....J.Q...K.1| -000001c0 c9 64 b2 a6 9a 01 52 86 b3 7a 43 17 16 03 03 00 |.d....R..zC.....| -000001d0 48 0f 00 00 44 08 07 00 40 29 35 71 34 aa b1 f1 |H...D...@)5q4...| -000001e0 64 08 4e 06 43 db 00 f7 f5 98 8e b6 51 d7 c4 b5 |d.N.C.......Q...| -000001f0 2b fa 56 8b bd 7b 18 f2 81 e9 2f 81 82 d8 90 e7 |+.V..{..../.....| -00000200 5b bc 72 7e f7 97 43 df cd 07 bf 7b ae 60 08 8b |[.r~..C....{.`..| -00000210 0a 71 c5 bf f0 7a 3e cc 0b 14 03 03 00 01 01 16 |.q...z>.........| -00000220 03 03 00 40 85 4f e0 c0 f3 3e a4 51 68 d6 ec 1b |...@.O...>.Qh...| -00000230 f1 4b 3e 0e 13 84 87 e3 3c 9a 5f 67 75 3a ad 08 |.K>.....<._gu:..| -00000240 be 29 15 b0 1f 62 27 fd d8 dd 58 b1 65 e7 e2 db |.)...b'...X.e...| -00000250 fe 55 a5 2d 2e 71 59 07 ad 12 12 80 12 bb 26 36 |.U.-.qY.......&6| -00000260 93 fb ea b1 |....| +00000140 08 16 03 03 00 25 10 00 00 21 20 f6 20 f2 db 22 |.....%...! . .."| +00000150 57 01 6b b4 e5 e1 af 53 2d 74 f0 fa d6 e5 1c 07 |W.k....S-t......| +00000160 25 e6 22 6c 0a 2a 0a da 2c aa 13 16 03 03 00 48 |%."l.*..,......H| +00000170 0f 00 00 44 08 07 00 40 c4 4e 87 6f 2d 49 a3 99 |...D...@.N.o-I..| +00000180 67 47 c7 24 66 94 54 f3 d6 44 9d 5b 0a c2 cc aa |gG.$f.T..D.[....| +00000190 ef 84 03 2a d8 16 08 0a 5b 7a ac 96 a1 cf 2a f8 |...*....[z....*.| +000001a0 c4 4d 37 e8 95 2b 92 1d ea d0 4d ee c5 95 80 a5 |.M7..+....M.....| +000001b0 3d 77 7c bc 2c c7 14 0e 14 03 03 00 01 01 16 03 |=w|.,...........| +000001c0 03 00 28 e2 6b d5 9f 31 d8 6d 33 a3 81 8c 7e c1 |..(.k..1.m3...~.| +000001d0 ef 51 59 6e 1b 91 54 ef c1 34 3e b7 48 09 44 cc |.QYn..T..4>.H.D.| +000001e0 fb eb d4 45 79 51 dd 12 48 e0 88 |...EyQ..H..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 f4 ed 23 ce da |.............#..| -00000020 73 5f ef 6b a2 82 3d a5 c6 f1 fd 8f a0 47 4e 34 |s_.k..=......GN4| -00000030 f9 7c d0 67 49 00 11 c3 76 83 23 3f 99 41 d5 5c |.|.gI...v.#?.A.\| -00000040 aa 9f 97 66 b7 0a 59 ba f3 40 83 17 03 03 00 40 |...f..Y..@.....@| -00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 82 66 85 d7 47 a6 5a 19 4f 89 5c 56 43 cb 6a bd |.f..G.Z.O.\VC.j.| -00000070 1b ae 46 40 7d e8 a9 7b 57 04 91 8b d5 de 24 f1 |..F@}..{W.....$.| -00000080 c0 df 37 45 e9 af d7 c5 1c e7 ee 80 0d 61 2a 7f |..7E.........a*.| -00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 5a 97 f3 38 e5 3a f1 07 79 b7 eb |.....Z..8.:..y..| -000000b0 ed 85 57 3a 96 16 51 38 85 86 ec 1b 9b 48 82 9c |..W:..Q8.....H..| -000000c0 05 bf 4d e5 fb |..M..| +00000000 14 03 03 00 01 01 16 03 03 00 28 00 00 00 00 00 |..........(.....| +00000010 00 00 00 0f bc a4 bd e8 a8 70 71 50 81 27 eb c4 |.........pqP.'..| +00000020 b5 7f 28 22 74 4e b8 7c ae c0 2a a9 b1 a1 c3 9e |..("tN.|..*.....| +00000030 1f d6 49 17 03 03 00 25 00 00 00 00 00 00 00 01 |..I....%........| +00000040 8c 6d 11 db 70 9a c1 ce c3 67 60 8f 88 78 43 3f |.m..p....g`..xC?| +00000050 4d 1a 07 75 a3 45 56 55 ef f1 f6 c3 9c 15 03 03 |M..u.EVU........| +00000060 00 1a 00 00 00 00 00 00 00 02 8f 4c 05 6e 65 1d |...........L.ne.| +00000070 6d 4a 25 38 2a 34 72 c0 d6 2c b3 9b |mJ%8*4r..,..| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven index 3dec0deeb16..db912f364dc 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 e7 7e 1f 56 df |....m...i...~.V.| -00000010 f1 1b e5 92 47 3b fb 25 a6 57 7d 13 47 08 f0 0f |....G;.%.W}.G...| -00000020 5b 64 64 00 d3 25 33 e5 a5 5b e3 00 00 04 00 2f |[dd..%3..[...../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 49 1d 79 ec 99 |....m...i..I.y..| +00000010 0c 74 8c 9c ee a6 54 93 e3 91 f1 0e cc e1 44 ad |.t....T.......D.| +00000020 6a b9 64 d8 ec e1 a9 81 f3 93 6a 00 00 04 00 2f |j.d.......j..../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 23 0d 00 00 1f 02 01 40 |;.......#......@| -000002a0 00 18 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 00 00 16 03 03 00 |................| -000002c0 04 0e 00 00 00 |.....| +00000290 3b e9 fa e7 16 03 03 00 25 0d 00 00 21 02 01 40 |;.......%...!..@| +000002a0 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 00 00 16 03 |...........a....| +000002c0 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -86,40 +86,40 @@ 000001d0 ac 11 b1 28 56 be 1d cd 61 62 84 09 bf d6 80 c6 |...(V...ab......| 000001e0 45 8d 82 2c b4 d8 83 9b db c9 22 b7 2a 12 11 7b |E..,......".*..{| 000001f0 fa 02 3b c1 c9 ff ea c9 9d a8 49 d3 95 d7 d5 0e |..;.......I.....| -00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 7f 38 c9 |.5............8.| -00000210 56 ed de 7d a6 2c dc cc 24 61 ea d3 8a fc b8 18 |V..}.,..$a......| -00000220 b8 e5 50 3e c3 d1 ca cf f7 0c d9 9b 22 d8 6d 0f |..P>........".m.| -00000230 71 e7 dd 7c 24 84 c6 f1 6a ac a0 3d ea d7 65 24 |q..|$...j..=..e$| -00000240 d7 3a 17 d5 b7 ec f7 03 bc 58 3a 01 d5 08 27 25 |.:.......X:...'%| -00000250 b9 2f 3b 96 cb d5 7c 12 20 f4 f1 91 58 13 fb 50 |./;...|. ...X..P| -00000260 f8 d5 5c e4 43 85 e8 41 37 3e ff fa a6 64 92 4d |..\.C..A7>...d.M| -00000270 bd d4 96 59 bd 94 f1 95 21 ad 75 1e 0d a2 8d 30 |...Y....!.u....0| -00000280 a3 82 f4 56 0f ba 5d 40 32 7f 0c 5f 5a 16 03 03 |...V..]@2.._Z...| -00000290 00 88 0f 00 00 84 08 04 00 80 39 b4 f4 68 e9 96 |..........9..h..| -000002a0 01 53 95 31 26 fa 3c 70 46 9f ba 62 b4 37 ea a6 |.S.1&..Gy..^p| -000002f0 30 8c 11 3f 27 43 4f 5d 81 89 83 39 9d fe 0c c3 |0..?'CO]...9....| -00000300 af 40 8d 2a 41 bf 57 67 7a df b4 89 29 10 9a 84 |.@.*A.Wgz...)...| -00000310 ff 8c 2f 58 1a 0a b9 62 4e 8e 14 03 03 00 01 01 |../X...bN.......| -00000320 16 03 03 00 40 7c 7a 79 ae 84 60 b8 95 83 30 78 |....@|zy..`...0x| -00000330 e9 6e 02 36 52 85 5a 6a a7 b5 f5 6d 4d a9 09 9d |.n.6R.Zj...mM...| -00000340 43 9d 46 da d0 cf 75 25 49 e1 79 0b 23 2d 85 c2 |C.F...u%I.y.#-..| -00000350 fd 5d 90 08 f5 75 81 ab 01 a0 f4 93 12 87 fb e3 |.]...u..........| -00000360 9b 99 4d fa c5 |..M..| +00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 b4 32 f6 |.5............2.| +00000210 f6 60 c2 82 5a 72 80 fb d6 af 40 68 5b 2e 83 be |.`..Zr....@h[...| +00000220 dd bd 51 41 80 c9 e0 49 1e ad cf cb 21 fb 4f 48 |..QA...I....!.OH| +00000230 87 a3 ef 41 f0 8d af 13 55 90 4e 08 d0 ff 21 40 |...A....U.N...!@| +00000240 40 ed be bf 5a f3 a4 6b bc 4b 22 dc bd 78 f3 ae |@...Z..k.K"..x..| +00000250 6a 69 0d a8 cb 3f 3f be d0 4a e7 84 41 2a 33 33 |ji...??..J..A*33| +00000260 dc fd af 42 c3 84 f2 d6 dc ac 27 16 bb 47 0c 9d |...B......'..G..| +00000270 08 d9 4f fd df 7d 80 2d b5 9c a7 75 d6 c2 4c 69 |..O..}.-...u..Li| +00000280 08 92 b1 cd 99 16 dc f8 0d 45 22 ae 2a 16 03 03 |.........E".*...| +00000290 00 88 0f 00 00 84 08 04 00 80 59 f0 fc bb 9e 4f |..........Y....O| +000002a0 e2 f7 1f 21 c3 8c eb 73 ca 3b b0 45 e3 45 d8 d5 |...!...s.;.E.E..| +000002b0 62 24 d5 e3 94 59 77 c9 bc d0 67 67 5c cd ce 0c |b$...Yw...gg\...| +000002c0 72 45 a6 86 c1 a9 88 d3 4f 46 3f fa 5f 7e ea b6 |rE......OF?._~..| +000002d0 92 d9 78 d8 6f 59 36 fb ea 4b 5b 18 46 7d 87 5a |..x.oY6..K[.F}.Z| +000002e0 b9 52 ff a0 13 3e 0f e2 8b 19 b1 0a ba c0 97 39 |.R...>.........9| +000002f0 5a fc d8 dc e6 fd 9f 29 45 2e 4d 98 e7 20 80 03 |Z......)E.M.. ..| +00000300 ce 54 2d 92 3a e1 c4 f5 2c d2 25 e5 cd 08 8f ed |.T-.:...,.%.....| +00000310 1a d9 2f 3b f9 00 79 3a bb 32 14 03 03 00 01 01 |../;..y:.2......| +00000320 16 03 03 00 40 77 01 64 ae 6c 26 44 2f 3f 78 53 |....@w.d.l&D/?xS| +00000330 30 78 4c 1c 75 8e 47 17 95 3b a4 35 87 95 2d f4 |0xL.u.G..;.5..-.| +00000340 fa 7e 45 f6 a3 59 42 31 5c 8f f8 fe 0e ce c1 1c |.~E..YB1\.......| +00000350 2a f1 e8 42 63 94 93 07 82 68 69 38 4f ba 6d a6 |*..Bc....hi8O.m.| +00000360 68 df fa 4e cd |h..N.| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 48 61 67 c0 1e |...........Hag..| -00000020 09 79 82 cc 55 60 fa e5 bd 1a 1d 14 d3 25 e6 4b |.y..U`.......%.K| -00000030 b7 a6 47 64 01 65 12 b3 37 42 1a 13 d9 90 12 7e |..Gd.e..7B.....~| -00000040 ea d8 30 39 e2 25 5e 9a 05 61 11 17 03 03 00 40 |..09.%^..a.....@| +00000010 00 00 00 00 00 00 00 00 00 00 00 f7 fc 35 5a 8c |.............5Z.| +00000020 34 c7 5f ae a6 eb 44 1c e1 00 9f 15 c3 fe 1c 65 |4._...D........e| +00000030 dd 3e 1f 03 0f f4 c4 b5 6c 59 e1 75 a0 18 9b 7b |.>......lY.u...{| +00000040 e5 b6 47 be af 43 a0 d8 8b 89 0b 17 03 03 00 40 |..G..C.........@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 cf c5 73 08 e9 15 25 b6 d8 e3 fa 0c a1 25 33 75 |..s...%......%3u| -00000070 8a 2e 66 03 c2 2d 50 c7 e1 10 b4 2a 0c 88 87 90 |..f..-P....*....| -00000080 04 4a 80 26 85 4b fd 9a 4f 0e b1 2c f0 18 57 f5 |.J.&.K..O..,..W.| +00000060 61 68 d5 7b 65 5d 8a e2 17 7a 75 eb a0 f8 cd 84 |ah.{e]...zu.....| +00000070 8c d3 1a 1c b1 4c 8e 60 d5 1e 1a 54 6d 21 68 1d |.....L.`...Tm!h.| +00000080 6c 18 72 71 7e 0d df d1 83 95 78 82 d0 5b ce 70 |l.rq~.....x..[.p| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 ce e0 a1 71 be 3d 1e b0 bd 06 4c |........q.=....L| -000000b0 1f 5b 10 8d 77 18 e0 c5 81 c9 4e 1b 3b 96 f6 6d |.[..w.....N.;..m| -000000c0 88 03 53 54 30 |..ST0| +000000a0 00 00 00 00 00 e9 0a c4 d1 6a f6 f6 f5 68 af bf |.........j...h..| +000000b0 b0 c3 7f e8 2f 18 58 67 7a 64 f7 72 d3 41 f1 7b |..../.Xgzd.r.A.{| +000000c0 0a d1 55 96 56 |..U.V| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given index 8efbc912d95..34b5b880adf 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 4c 65 99 ab e0 |....m...i..Le...| -00000010 4b 0a 08 f5 06 20 f9 3d 96 4f 05 e3 58 6f 41 50 |K.... .=.O..XoAP| -00000020 c1 5f e8 a8 0a 5f 8f f2 de 7f 16 00 00 04 00 2f |._..._........./| +00000000 16 03 01 00 6d 01 00 00 69 03 03 ec 6b 60 00 98 |....m...i...k`..| +00000010 a1 e0 fa ff f8 0e b2 d0 fd cf b9 83 6c 0a d2 c3 |............l...| +00000020 37 3a 68 b0 75 93 97 94 fa c6 fd 00 00 04 00 2f |7:h.u........../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 23 0d 00 00 1f 02 01 40 |;.......#......@| -000002a0 00 18 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 00 00 16 03 03 00 |................| -000002c0 04 0e 00 00 00 |.....| +00000290 3b e9 fa e7 16 03 03 00 25 0d 00 00 21 02 01 40 |;.......%...!..@| +000002a0 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 00 00 16 03 |...........a....| +000002c0 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -86,40 +86,40 @@ 000001d0 ac 11 b1 28 56 be 1d cd 61 62 84 09 bf d6 80 c6 |...(V...ab......| 000001e0 45 8d 82 2c b4 d8 83 9b db c9 22 b7 2a 12 11 7b |E..,......".*..{| 000001f0 fa 02 3b c1 c9 ff ea c9 9d a8 49 d3 95 d7 d5 0e |..;.......I.....| -00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 41 62 b4 |.5...........Ab.| -00000210 fb 81 80 58 e3 0d c7 b2 c0 55 ee 5b 1a ba 2d 8f |...X.....U.[..-.| -00000220 9f 79 24 0a d5 be c7 2b 55 ec 51 6d b9 78 63 85 |.y$....+U.Qm.xc.| -00000230 82 d2 ea 02 0c 06 fe 05 fd ed 08 be 71 99 5f 53 |............q._S| -00000240 94 85 01 ff ba 2a ee 14 cb 99 0a df 1e 67 0d 95 |.....*.......g..| -00000250 63 8d 1f 96 41 75 f9 5d 1a 21 03 6c e3 eb 4f 5e |c...Au.].!.l..O^| -00000260 28 c3 4d bb 6d 29 33 bc 24 75 8c 3b f2 c4 6b f5 |(.M.m)3.$u.;..k.| -00000270 86 db 40 59 34 43 fb a9 1e ea 6f 3f 0e b4 35 39 |..@Y4C....o?..59| -00000280 52 d8 0f 85 ed 3b 52 b6 5b 7f b0 bf c3 16 03 03 |R....;R.[.......| -00000290 00 88 0f 00 00 84 04 01 00 80 52 85 ca 08 7d 07 |..........R...}.| -000002a0 bc d8 0c a4 b8 36 01 c0 b8 8a 18 ba d8 d4 a3 fa |.....6..........| -000002b0 fd 32 e2 00 72 e5 d2 c8 5a 59 6b 5e 6e df 35 da |.2..r...ZYk^n.5.| -000002c0 c7 1e ee af 87 4b d6 30 7e 27 1c 76 70 28 79 ac |.....K.0~'.vp(y.| -000002d0 7f 31 bc 44 55 3c 15 61 d2 0d 24 9c 48 43 9f 12 |.1.DU<.a..$.HC..| -000002e0 a6 74 5c 2f 5b 4e 96 4a 47 b4 6b 7c fa da 37 96 |.t\/[N.JG.k|..7.| -000002f0 ec 46 7d 05 be 24 8f cf 11 31 ab 4c 5b c7 3e 94 |.F}..$...1.L[.>.| -00000300 9a 2a 39 e8 fe aa aa ee e3 00 a3 a8 1e 75 4a 21 |.*9..........uJ!| -00000310 b4 ad 24 8f ee e8 30 85 b1 28 14 03 03 00 01 01 |..$...0..(......| -00000320 16 03 03 00 40 71 47 13 68 49 74 9c 2a 81 35 94 |....@qG.hIt.*.5.| -00000330 52 f6 44 44 67 3b 62 e1 ef 34 18 e7 8a 56 71 88 |R.DDg;b..4...Vq.| -00000340 83 7e 67 28 20 18 b1 c5 8a c8 8b 6a fe ee bf da |.~g( ......j....| -00000350 5f 6e cd fa a8 5c af 5c 3c 83 80 78 f3 fe 1b dc |_n...\.\<..x....| -00000360 95 fe 22 16 82 |.."..| +00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 d4 d5 5b |.5.............[| +00000210 40 fc 53 88 cc 1f 09 00 7e 94 48 aa c3 d9 79 a9 |@.S.....~.H...y.| +00000220 3c d7 d4 c7 3d a1 ae 2a ad 10 9b c4 74 35 31 88 |<...=..*....t51.| +00000230 b1 cc 43 f5 03 de a2 2e 62 07 49 fd e3 df ea 96 |..C.....b.I.....| +00000240 cc 34 90 e2 79 22 ff 1d 8a ec 7b 0c 7d 3d 2b a2 |.4..y"....{.}=+.| +00000250 a1 f3 a0 66 2b 9b f1 4d d6 b2 b8 66 2d 85 ce f0 |...f+..M...f-...| +00000260 67 fa 4d 14 81 4c 4b 37 fd 96 b7 10 33 62 ab 88 |g.M..LK7....3b..| +00000270 41 8d 1e 46 c0 52 6d 65 c6 a9 4b 5e 11 c9 0b d8 |A..F.Rme..K^....| +00000280 e4 d5 8d 7e ed 63 06 3d de 81 01 c0 44 16 03 03 |...~.c.=....D...| +00000290 00 88 0f 00 00 84 04 01 00 80 39 a3 e3 bd 42 84 |..........9...B.| +000002a0 65 95 0f ac 3b f7 d0 d3 a7 06 e4 1d 1f 02 77 27 |e...;.........w'| +000002b0 04 f2 24 5a ec ae 45 5a e9 05 1d bb c1 ca 41 df |..$Z..EZ......A.| +000002c0 12 c4 3f f3 c8 70 de d2 68 c9 7b 2e 9c 45 94 1d |..?..p..h.{..E..| +000002d0 12 7b fb f1 14 f0 b2 c4 42 8d 36 f4 2a c9 ae eb |.{......B.6.*...| +000002e0 fd 3f ef f1 71 eb 20 b8 dd ee 8b 6d 45 ad 6a ab |.?..q. ....mE.j.| +000002f0 c5 d6 9f 85 77 d7 6f d2 7f 9d 75 d3 9c 2e ee 61 |....w.o...u....a| +00000300 b0 e9 e9 e8 41 c6 1d db 12 1b ce f3 f3 8f 6b 1d |....A.........k.| +00000310 94 16 e3 99 6b 4f e9 e1 27 bb 14 03 03 00 01 01 |....kO..'.......| +00000320 16 03 03 00 40 98 b1 d1 5e 61 9e be 58 3c 2b 87 |....@...^a..X<+.| +00000330 6c 3b c4 90 ce cb 93 2c b9 ab d8 3a 85 6e 94 1b |l;.....,...:.n..| +00000340 32 a2 f8 98 20 16 36 84 5b 36 a1 61 94 70 0b bd |2... .6.[6.a.p..| +00000350 a9 62 69 b4 85 52 70 72 07 a9 f4 fa 4f fa b9 08 |.bi..Rpr....O...| +00000360 b0 03 1e 9f 71 |....q| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 20 f7 51 8f 23 |........... .Q.#| -00000020 08 8d 67 5d 12 06 b0 48 81 2d 0c ba 88 03 88 31 |..g]...H.-.....1| -00000030 d0 ab 63 0d 9f 28 60 21 0a a3 58 47 c2 04 cc f1 |..c..(`!..XG....| -00000040 50 0d 88 b2 e5 54 50 26 e6 6e ed 17 03 03 00 40 |P....TP&.n.....@| +00000010 00 00 00 00 00 00 00 00 00 00 00 79 d4 a9 cf b1 |...........y....| +00000020 fe e0 1f c5 76 5d ad 23 a0 98 7f 1a f3 98 47 77 |....v].#......Gw| +00000030 bc a3 39 7c a2 48 5e 0c d6 9c df 01 2c 14 93 6f |..9|.H^.....,..o| +00000040 d7 98 a8 25 70 7b e5 db 13 58 cc 17 03 03 00 40 |...%p{...X.....@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 fa 4d e5 00 14 2c 65 82 5d 1b 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K.Z.a.| +00000080 cc 78 7b d3 07 c9 91 de 12 db e3 86 a4 70 4d 3a |.x{..........pM:| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 54 cc c0 15 e5 6d 62 4d 13 54 e8 |.....T....mbM.T.| -000000b0 fa cf 76 a6 de d6 48 f8 0d ef 30 b7 12 05 cf 75 |..v...H...0....u| -000000c0 8b 00 9e d5 63 |....c| +000000a0 00 00 00 00 00 1c 29 9f 29 be fa 0a 1c 18 9f 96 |......).).......| +000000b0 45 6d 26 0f 14 6b d5 d3 e1 4c b8 c5 57 4a 9d cc |Em&..k...L..WJ..| +000000c0 11 88 2e ad a5 |.....| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven index a81c1731535..2f79eab60fd 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 be a7 a4 6c f7 |....m...i.....l.| -00000010 f6 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|................| -000002b0 06 01 05 03 06 03 02 01 02 03 00 00 16 03 03 00 |................| -000002c0 04 0e 00 00 00 |.....| +00000290 3b e9 fa e7 16 03 03 00 25 0d 00 00 21 02 01 40 |;.......%...!..@| +000002a0 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 00 00 16 03 |...........a....| +000002c0 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) 00000000 16 03 03 00 07 0b 00 00 03 00 00 00 16 03 03 00 |................| -00000010 86 10 00 00 82 00 80 a9 b6 12 e2 84 71 62 7a 20 |............qbz | -00000020 63 80 99 c6 ee f7 61 f9 74 d6 0b ab 31 74 69 ca |c.....a.t...1ti.| -00000030 94 20 9e 1b 0e 52 45 c4 f4 b3 cb fb a4 07 61 6f |. ...RE.......ao| -00000040 a1 5a 84 4c 4f f6 4a e4 bc c5 c2 b0 ee 8a 30 5b |.Z.LO.J.......0[| -00000050 10 e0 ed d3 4c b7 32 8c ed 3f 89 a7 a7 95 60 86 |....L.2..?....`.| -00000060 97 1a ae ab 2f 5c e6 6d 1b c3 35 bd f5 c1 f0 1a |..../\.m..5.....| -00000070 d4 70 e5 00 f2 d4 d1 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7e 8b 64 93 8e 5a f1 17 c1 5f 0e ff ec 17 cb 68 |~.d..Z..._.....h| +00000080 48 b9 a3 9e dc 10 53 f1 f0 9b 1c de fd 2f c1 86 |H.....S....../..| +00000090 0f 14 31 75 46 b1 d4 14 03 03 00 01 01 16 03 03 |..1uF...........| +000000a0 00 40 76 a5 cc 93 c0 28 b1 a0 28 0e 1e 3d b3 a0 |.@v....(..(..=..| +000000b0 50 02 79 67 dc 6a 93 ac 93 65 1a c1 24 0c 88 96 |P.yg.j...e..$...| +000000c0 98 ff 5c 6c b5 ab 38 21 d2 ea c8 38 1e 9b de b1 |..\l..8!...8....| +000000d0 96 f2 b6 aa 2c bb 07 27 2e 75 8f 8b 23 a0 4e 79 |....,..'.u..#.Ny| +000000e0 97 c0 |..| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 b0 2c 61 79 87 |............,ay.| -00000020 59 d4 9e 4d e7 56 4a 34 ba 78 d5 06 98 a2 92 35 |Y..M.VJ4.x.....5| -00000030 a1 fc 57 5a 6e d3 0f 44 08 1c a1 7b 3c d3 f1 86 |..WZn..D...{<...| -00000040 a2 04 04 5e 1b 7c 00 4f 51 71 73 17 03 03 00 40 |...^.|.OQqs....@| +00000010 00 00 00 00 00 00 00 00 00 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c9 5b 44 05 |y..#6.)D...r.[D.| +00000110 8d 13 b7 e4 f2 99 ec 24 67 2c cb 03 af 9a 34 af |.......$g,....4.| +00000120 85 e9 f1 26 f5 fc f3 79 7b 81 f9 f6 0f 0e 60 24 |...&...y{.....`$| +00000130 d1 5f cc 13 da 73 ba f9 c6 f1 db 50 ac 21 d9 16 |._...s.....P.!..| +00000140 37 1e 5d 19 a9 d4 b4 72 77 bf 66 82 f5 03 d9 71 |7.]....rw.f....q| +00000150 c5 32 ae 21 17 0a 66 85 7b 38 e3 29 d6 49 59 bf |.2.!..f.{8.).IY.| +00000160 46 2d 6a 47 92 22 99 43 3a 91 fd 95 3c 40 37 e1 |F-jG.".C:...<@7.| +00000170 f2 8a cc f5 bd b3 80 05 4f a8 46 f1 db 6d 8b d5 |........O.F..m..| +00000180 43 a4 1f 3b e8 bd c7 a4 9b 7a bd d2 8a 09 73 d0 |C..;.....z....s.| +00000190 3f e2 7f c6 ad 47 ab 9c 65 ee 41 52 c2 8d af f6 |?....G..e.AR....| +000001a0 31 c7 1d cc 1d dd 00 ab ed cb 0c 89 fa 5d 60 b5 |1............]`.| +000001b0 2c 5a b8 7f 86 b4 ad d3 75 50 b3 a4 d3 a4 af ae |,Z......uP......| +000001c0 ac bd d6 f4 51 dd aa 8a d1 82 37 58 49 a0 b7 5f |....Q.....7XI.._| +000001d0 9b ec f3 5c a3 09 cc f2 48 61 37 26 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OP.\.c..!?...\| +00000250 12 f0 bb 00 90 9f 76 0e e9 06 95 ea 87 da f0 fd |......v.........| +00000260 74 8d 76 ff 97 39 84 f4 41 e2 38 12 14 c8 8b a4 |t.v..9..A.8.....| +00000270 19 99 c2 7a 14 d3 b6 76 5d e0 69 b8 8c 2e 16 17 |...z...v].i.....| +00000280 98 64 53 83 f0 35 23 42 d0 b1 54 0a ff c7 61 9f |.dS..5#B..T...a.| +00000290 f7 75 5b ea 5a 12 b4 15 90 c8 c4 69 0b be ad 42 |.u[.Z......i...B| +000002a0 71 db 74 1d bb 9a 71 ad a7 3f 35 98 90 17 03 03 |q.t...q..?5.....| +000002b0 00 1e 58 9c f5 a1 dd f9 91 85 e5 c0 ac c7 ae f3 |..X.............| +000002c0 5d 28 89 4b dc e2 af d7 35 46 bd 69 07 be dc 8a |](.K....5F.i....| +000002d0 17 03 03 00 13 6a e4 bf d4 b5 f9 23 1c 63 69 84 |.....j.....#.ci.| +000002e0 7c cc 6a 94 cd 2c a1 69 ||.j..,.i| diff --git a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndEd25519Given b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndEd25519Given index d80b76fc6c7..c33635ef431 100644 --- a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndEd25519Given +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndEd25519Given @@ -1,149 +1,153 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ca 01 00 00 c6 03 03 3d 6d 5a b0 92 |...........=mZ..| -00000010 7b 62 6d 14 22 f5 08 70 77 4a 80 fa 69 1a 1c 92 |{bm."..pwJ..i...| -00000020 4c d3 e5 ca 3a d0 ee 33 40 c8 64 20 e5 a7 f1 57 |L...:..3@.d ...W| -00000030 39 32 e3 9f 7c 33 58 16 61 58 29 44 aa e4 50 b1 |92..|3X.aX)D..P.| -00000040 37 c5 59 27 f2 d5 b8 6e 01 24 c2 6b 00 04 13 01 |7.Y'...n.$.k....| -00000050 00 ff 01 00 00 79 00 0b 00 04 03 00 01 02 00 0a |.....y..........| -00000060 00 0c 00 0a 00 1d 00 17 00 1e 00 19 00 18 00 16 |................| -00000070 00 00 00 17 00 00 00 0d 00 1e 00 1c 04 03 05 03 |................| -00000080 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| -00000090 08 06 04 01 05 01 06 01 00 2b 00 03 02 03 04 00 |.........+......| -000000a0 2d 00 02 01 01 00 33 00 26 00 24 00 1d 00 20 cb |-.....3.&.$... .| -000000b0 da f4 03 da e7 6f e5 2b 25 c0 cb cf 52 0a fb af |.....o.+%...R...| -000000c0 8a 87 4c 2b 88 e4 1a b3 a0 34 30 fb 9d 4e 0e |..L+.....40..N.| +00000000 16 03 01 00 ce 01 00 00 ca 03 03 73 d7 86 22 ae |...........s..".| +00000010 8f d3 d8 cb 34 56 0c 67 ef 37 72 ce 78 de f1 20 |....4V.g.7r.x.. | +00000020 4d fa 46 e4 15 af a2 50 ce 65 cf 20 43 1c b6 a3 |M.F....P.e. 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37 6f 98 33 |~8......c2zJ7o.3| +00000170 a1 a2 19 cf 8c b1 12 33 d6 c6 39 64 f8 fd 6a 1f |.......3..9d..j.| +00000180 85 8a 50 68 38 0d 9a f5 a8 63 1e 83 58 09 28 a5 |..Ph8....c..X.(.| +00000190 69 d7 42 ac bc 88 98 52 5d 32 a6 f3 5d fb d4 0b |i.B....R]2..]...| +000001a0 3c 04 19 d3 41 d3 86 06 64 5c 94 29 de 77 dc 25 |<...A...d\.).w.%| +000001b0 36 fb ba 0a 2e d4 08 d8 a8 de b0 83 2b c6 5b b4 |6...........+.[.| +000001c0 61 95 85 4d 57 88 9e 8f b6 55 67 b8 b0 ad 0d 47 |a..MW....Ug....G| +000001d0 26 62 5e c3 56 73 2b b2 59 45 eb 2d 6b 45 b6 17 |&b^.Vs+.YE.-kE..| +000001e0 03 03 00 1e 56 ee cc cd b6 9c f9 d7 9a ff 19 f0 |....V...........| +000001f0 5e 8d fc 04 e2 4a 2a 1e 97 d5 79 cb 5a 30 38 5f |^....J*...y.Z08_| +00000200 03 d2 17 03 03 00 13 ec f4 71 37 02 26 71 b0 4f |.........q7.&q.O| +00000210 d0 27 09 6e c8 f9 e1 4f 9d b8 |.'.n...O..| diff --git a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven index 800f99916c0..d0be260bead 100644 --- a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven @@ -1,177 +1,181 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ca 01 00 00 c6 03 03 c8 2f b4 54 5b |............/.T[| -00000010 11 8a 88 a9 a2 9b bf 66 f2 b4 e5 fb 32 af d6 dd |.......f....2...| -00000020 6c 6c 99 4f d6 48 cd eb 63 6e 1d 20 bb 0a 48 2e |ll.O.H..cn. ..H.| -00000030 45 4e 86 2d ae d6 fb 3e 0c 3e 9f a3 17 4a e3 39 |EN.-...>.>...J.9| -00000040 58 a7 92 92 cb 30 03 0d be b5 79 a5 00 04 13 01 |X....0....y.....| -00000050 00 ff 01 00 00 79 00 0b 00 04 03 00 01 02 00 0a |.....y..........| -00000060 00 0c 00 0a 00 1d 00 17 00 1e 00 19 00 18 00 16 |................| -00000070 00 00 00 17 00 00 00 0d 00 1e 00 1c 04 03 05 03 |................| -00000080 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| -00000090 08 06 04 01 05 01 06 01 00 2b 00 03 02 03 04 00 |.........+......| -000000a0 2d 00 02 01 01 00 33 00 26 00 24 00 1d 00 20 f0 |-.....3.&.$... .| -000000b0 8e 19 a6 04 b7 f1 b0 cd a1 28 bb 10 60 30 92 dc |.........(..`0..| -000000c0 bc 7a 1c fc a7 f4 dc 01 2e 88 f3 0e 80 82 71 |.z............q| +00000000 16 03 01 00 ce 01 00 00 ca 03 03 b3 3c 71 5e b0 |............x| +000000c0 ed f4 d6 ba 5c 09 c3 95 e2 24 7e 5e 1e b8 2c 38 |....\....$~^..,8| +000000d0 cd db 79 |..y| >>> Flow 2 (server to client) 00000000 16 03 03 00 7a 02 00 00 76 03 03 00 00 00 00 00 |....z...v.......| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000020 00 00 00 00 00 00 00 00 00 00 00 20 bb 0a 48 2e |........... ..H.| -00000030 45 4e 86 2d ae d6 fb 3e 0c 3e 9f a3 17 4a e3 39 |EN.-...>.>...J.9| -00000040 58 a7 92 92 cb 30 03 0d be b5 79 a5 13 01 00 00 |X....0....y.....| +00000020 00 00 00 00 00 00 00 00 00 00 00 20 39 c2 df 14 |........... 9...| +00000030 b8 ad 37 a3 1b 21 a5 69 98 51 7a c8 06 bb 85 a1 |..7..!.i.Qz.....| +00000040 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59 06 28 cf ca 96 b2 96 1c f7 0f 5a 0a |...Y.(........Z.| +00000170 fb 07 63 ab d9 10 d1 16 aa 17 38 d2 e7 6e c2 7b |..c.......8..n.{| +00000180 f8 08 0b 5e 9b e0 fb 79 9d 9a 60 c3 93 9a 72 79 |...^...y..`...ry| +00000190 84 e0 da 52 04 97 71 83 38 44 d6 8d 81 45 77 15 |...R..q.8D...Ew.| +000001a0 5b fd b6 9f c6 ef 40 50 a0 66 a4 44 cb 6b ea 68 |[.....@P.f.D.k.h| +000001b0 da 97 4b 37 53 1f bb d7 05 9c 57 5c 94 84 e1 b1 |..K7S.....W\....| +000001c0 de 33 9f 95 49 33 bf ba 4f 38 74 1a c6 4e 97 06 |.3..I3..O8t..N..| +000001d0 99 f3 d1 00 b2 68 c6 28 f4 13 10 42 cf 83 51 16 |.....h.(...B..Q.| +000001e0 38 84 a9 57 f1 c2 95 c3 b9 d0 4c bc 1c b9 1e 2e |8..W......L.....| +000001f0 0b bc ea 3b 6b 7d 6b 8d 53 e5 09 bd 84 8f de df |...;k}k.S.......| +00000200 2a df c8 63 36 83 f6 40 f8 f0 74 c1 ef c1 43 bc |*..c6..@..t...C.| +00000210 bf 69 d8 a3 a8 92 39 75 22 9e 38 31 55 1e 1f ec |.i....9u".81U...| +00000220 44 6b 85 91 2f d3 46 b7 f5 6d cc d7 e3 58 17 92 |Dk../.F..m...X..| +00000230 fe 44 50 ff ce 09 73 95 68 16 dd 9f a3 42 75 d0 |.DP...s.h....Bu.| +00000240 7d ac 4d ba 7d 05 44 d7 39 e2 da fd 4f 96 f9 b9 |}.M.}.D.9...O...| +00000250 9c e6 d0 a0 ee 5c ab 94 fc 99 c5 7c 4e 8c e0 36 |.....\.....|N..6| +00000260 2b 5f aa 1d a4 06 16 74 cd 52 91 72 39 e7 e2 54 |+_.....t.R.r9..T| +00000270 8f 72 8f 7a 4e d1 e2 9d 0e d5 fe 40 9f ff 71 80 |.r.zN......@..q.| +00000280 34 4f aa 82 15 1f c7 5f 02 f5 2d e7 38 d8 d4 9d |4O....._..-.8...| +00000290 37 15 35 27 ef 7e da f1 eb e9 ac 77 ac 04 d2 4c |7.5'.~.....w...L| +000002a0 f6 ca 6b 8d e1 e7 77 e3 cd 55 25 2d 8b 74 0a aa |..k...w..U%-.t..| +000002b0 1b a8 1d aa 01 31 12 0d 9a 3e cf f4 4c e6 44 b5 |.....1...>..L.D.| +000002c0 41 d9 13 a1 f8 39 ac 9a 7f 37 4e 35 20 91 13 bf |A....9...7N5 ...| +000002d0 62 b9 8f 4b 0d ca 45 4d 3c af 9a 2d e0 6e 73 cc |b..K..EM<..-.ns.| +000002e0 6e 6d 1e 4a b5 b7 e1 0d 32 0e 1b 01 6a 56 8d 85 |nm.J....2...jV..| +000002f0 c6 42 0c 28 79 dc 02 e2 47 a1 21 01 ec 0e cd d7 |.B.(y...G.!.....| +00000300 fc 26 43 8c b2 bf c5 89 7f ae 91 89 99 89 b9 47 |.&C............G| +00000310 43 cb a4 d2 f1 c5 45 9e 7e 07 f9 26 ce 7c a1 c0 |C.....E.~..&.|..| +00000320 da e0 5a ad 40 57 ef f6 f1 45 c9 56 8c 90 da af |..Z.@W...E.V....| +00000330 41 6d 35 09 f2 2e c4 e2 3a 3c 46 d1 0c f7 3b dc |Am5.....:.i.d......| +00000380 d8 46 18 7e e1 8e 6d 69 ef 10 7f a8 1c a5 e8 06 |.F.~..mi........| +00000390 42 94 f3 39 ad 32 8b 9c 59 8b dd 3f 9c 94 20 2b |B..9.2..Y..?.. +| +000003a0 e8 1a 14 64 bb c2 e5 92 f7 b1 52 1d ef 11 c8 47 |...d......R....G| +000003b0 11 26 7e 3a 8b f8 cb e6 4c e9 07 4b 4b 27 45 30 |.&~:....L..KK'E0| +000003c0 af e9 7a 07 41 0d c4 2d 66 5b 7b 82 0a 61 e0 eb |..z.A..-f[{..a..| +000003d0 3c 23 ab 3a b2 31 cd 86 6c 8c 60 62 63 c0 93 2a |<#.:.1..l.`bc..*| +000003e0 44 0b d9 9b 01 ad 04 1c 4a e8 1f 9c 40 94 b6 de |D.......J...@...| +000003f0 f9 49 ca d9 7c ce 17 03 03 00 45 66 c1 72 36 67 |.I..|.....Ef.r6g| +00000400 03 15 94 07 e8 e5 dd 40 47 e6 fb 15 ee 0e b6 66 |.......@G......f| +00000410 86 a6 69 8e 05 3d a3 45 61 1b b7 8a 04 1e cb cc |..i..=.Ea.......| +00000420 4c b2 11 c5 16 6f 70 b9 4c 34 81 56 89 8b 3f 23 |L....op.L4.V..?#| +00000430 95 7f 1b 29 1b 44 40 44 05 7d e1 6e cc 83 04 97 |...).D@D.}.n....| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 02 11 4b 29 10 c9 7b |...........K)..{| -00000010 98 9a fa ce 7a 17 a4 7d 15 5f 97 4f 40 67 37 f0 |....z..}._.O@g7.| -00000020 0b 2d ca 62 77 23 ab 78 d7 9f b6 1d 5c 64 fb 68 |.-.bw#.x....\d.h| -00000030 70 5f 21 df e1 55 3b e3 bb 8e 61 31 11 ba 2b eb |p_!..U;...a1..+.| -00000040 de 78 39 5c 31 62 a3 fb 9a 57 a4 50 34 43 76 55 |.x9\1b...W.P4CvU| -00000050 ae f9 36 b1 35 ee 2b 8d ab c2 70 52 b0 8c d6 1b |..6.5.+...pR....| -00000060 fe 0f fc 5e 79 c3 cf ab d3 9a 81 af 63 2c b3 f7 |...^y.......c,..| -00000070 a6 b7 13 c4 70 22 fa 56 6d 77 cb d1 bf a5 9e c8 |....p".Vmw......| -00000080 74 83 80 f9 9a 19 f3 a3 94 15 72 7c 55 0e 21 47 |t.........r|U.!G| -00000090 2b a2 d3 b8 74 e1 07 37 7f 12 f6 ad ba 71 e5 ca 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67 3a 02 e4 20 |.......[K9.g:.. | +000002b0 42 5b c5 41 e5 7d 1d aa 82 56 de bf 80 4d f9 3b |B[.A.}...V...M.;| +000002c0 59 e7 3d 17 03 03 00 13 b3 4b 8a 2e 19 65 f3 aa |Y.=......K...e..| +000002d0 6d dc 6a 84 ce a9 15 89 6e 5e ed |m.j.....n^.| diff --git a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven index fb2fb34d541..03e9287cdd6 100644 --- a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven @@ -1,104 +1,108 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ca 01 00 00 c6 03 03 15 b6 db 09 24 |...............$| -00000010 50 ea d6 f7 ae d7 32 2f 72 25 23 db 11 ad 6f c1 |P.....2/r%#...o.| -00000020 5d 62 af e7 93 63 1a 8b f3 82 80 20 5f 15 2e 86 |]b...c..... _...| -00000030 86 2c 2e 2f 82 11 3c d2 9f 00 32 d4 3d 05 04 fa |.,./..<...2.=...| -00000040 36 41 8d dc 30 ce a6 2b 6e d4 3c 9c 00 04 13 01 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|.....oa.}..1....| +00000050 13 03 13 01 00 ff 01 00 00 79 00 0b 00 04 03 00 |.........y......| +00000060 01 02 00 0a 00 0c 00 0a 00 1d 00 17 00 1e 00 19 |................| +00000070 00 18 00 16 00 00 00 17 00 00 00 0d 00 1e 00 1c |................| +00000080 04 03 05 03 06 03 08 07 08 08 08 09 08 0a 08 0b |................| +00000090 08 04 08 05 08 06 04 01 05 01 06 01 00 2b 00 03 |.............+..| +000000a0 02 03 04 00 2d 00 02 01 01 00 33 00 26 00 24 00 |....-.....3.&.$.| +000000b0 1d 00 20 4a ae 66 fc 2f 20 a8 36 d5 75 3e 68 86 |.. 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+000000a0 28 4d 57 e6 e5 c0 26 5e 17 03 03 00 1e fd 3f d2 |(MW...&^......?.| +000000b0 83 e1 0e 08 e6 98 80 fe d3 ec 31 7e 07 66 1b 12 |..........1~.f..| +000000c0 e0 ce 84 7f 26 9a 35 3a d7 9b 01 17 03 03 00 13 |....&.5:........| +000000d0 be c1 6c ce 5d 85 69 4f ba 9d bc ff b1 e9 9f 32 |..l.].iO.......2| +000000e0 ff dc d7 |...| diff --git a/src/crypto/tls/tls.go b/src/crypto/tls/tls.go index a389873d32e..ff812b811bf 100644 --- a/src/crypto/tls/tls.go +++ b/src/crypto/tls/tls.go @@ -12,6 +12,8 @@ package tls // https://www.imperialviolet.org/2013/02/04/luckythirteen.html. import ( + circlSign "circl/sign" + "bytes" "context" "crypto" @@ -357,6 +359,17 @@ func X509KeyPair(certPEMBlock, keyPEMBlock []byte) (Certificate, error) { if !bytes.Equal(priv.Public().(ed25519.PublicKey), pub) { return fail(errors.New("tls: private key does not match public key")) } + case circlSign.PublicKey: + priv, ok := cert.PrivateKey.(circlSign.PrivateKey) + if !ok { + return fail(errors.New("tls: private key type does not match public key type")) + } + pkBytes, err := priv.Public().(circlSign.PublicKey).MarshalBinary() + pkBytes2, err2 := pub.MarshalBinary() + + if err != nil || err2 != nil || !bytes.Equal(pkBytes, pkBytes2) { + return fail(errors.New("tls: private key does not match public key")) + } default: return fail(errors.New("tls: unknown public key algorithm")) } @@ -373,7 +386,7 @@ func parsePrivateKey(der []byte) (crypto.PrivateKey, error) { } if key, err := x509.ParsePKCS8PrivateKey(der); err == nil { switch key := key.(type) { - case *rsa.PrivateKey, *ecdsa.PrivateKey, ed25519.PrivateKey: + case *rsa.PrivateKey, *ecdsa.PrivateKey, ed25519.PrivateKey, circlSign.PrivateKey: return key, nil default: return nil, errors.New("tls: found unknown private key type in PKCS#8 wrapping") diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go new file mode 100644 index 00000000000..c9ed8859ebf --- /dev/null +++ b/src/crypto/tls/tls_cf.go @@ -0,0 +1,47 @@ +package tls + +import ( + circlPki "circl/pki" + circlSign "circl/sign" + + "circl/sign/eddilithium3" +) + +// To add a signature scheme from Circl +// +// 1. make sure it implements TLSScheme and CertificateScheme, +// 2. follow the instructions in crypto/x509/x509_cf.go +// 3. add a signature to the iota in common.go +// 4. add row in the circlSchemes lists below + +var circlSchemes = [...]struct { + sigType uint8 + scheme circlSign.Scheme +}{ + {signatureEdDilithium3, eddilithium3.Scheme}, +} + +func circlSchemeBySigType(sigType uint8) circlSign.Scheme { + for _, cs := range circlSchemes { + if cs.sigType == sigType { + return cs.scheme + } + } + return nil +} + +func sigTypeByCirclScheme(scheme circlSign.Scheme) uint8 { + for _, cs := range circlSchemes { + if cs.scheme == scheme { + return cs.sigType + } + } + return 0 +} + +func init() { + for _, cs := range circlSchemes { + supportedSignatureAlgorithms = append(supportedSignatureAlgorithms, + SignatureScheme(cs.scheme.(circlPki.TLSScheme).TLSIdentifier())) + } +} diff --git a/src/crypto/x509/pkcs8.go b/src/crypto/x509/pkcs8.go index a5ee4cfbfef..42843ae9675 100644 --- a/src/crypto/x509/pkcs8.go +++ b/src/crypto/x509/pkcs8.go @@ -12,6 +12,9 @@ import ( "encoding/asn1" "errors" "fmt" + + circlPki "circl/pki" + circlSign "circl/sign" ) // pkcs8 reflects an ASN.1, PKCS #8 PrivateKey. See @@ -75,7 +78,22 @@ func ParsePKCS8PrivateKey(der []byte) (key interface{}, err error) { return ed25519.NewKeyFromSeed(curvePrivateKey), nil default: - return nil, fmt.Errorf("x509: PKCS#8 wrapping contained private key with unknown algorithm: %v", privKey.Algo.Algorithm) + scheme := circlPki.SchemeByOid(privKey.Algo.Algorithm) + if scheme == nil { + return nil, fmt.Errorf("x509: PKCS#8 wrapping contained private key with unknown algorithm: %v", privKey.Algo.Algorithm) + } + if l := len(privKey.Algo.Parameters.FullBytes); l != 0 { + return nil, fmt.Errorf("x509: invalid %s private key parameters", scheme.Name()) + } + var packedSk []byte + if _, err := asn1.Unmarshal(privKey.PrivateKey, &packedSk); err != nil { + return nil, fmt.Errorf("x509: invalid %s private key: %v", scheme.Name(), err) + } + sk, err := scheme.UnmarshalBinaryPrivateKey(packedSk) + if err != nil { + return nil, fmt.Errorf("x509: invalid %s private key: %v", scheme.Name(), err) + } + return sk, nil } } @@ -128,6 +146,22 @@ func MarshalPKCS8PrivateKey(key interface{}) ([]byte, error) { } privKey.PrivateKey = curvePrivateKey + case circlSign.PrivateKey: + scheme, ok := k.Scheme().(circlPki.CertificateScheme) + if !ok { + return nil, fmt.Errorf( + "x509: circl private key is not CertificateScheme") + } + privKey.Algo = pkix.AlgorithmIdentifier{ + Algorithm: scheme.Oid(), + } + bytes, _ := k.MarshalBinary() + packedSk, err := asn1.Marshal(bytes) + if err != nil { + return nil, fmt.Errorf("x509: failed to marshal private key: %v", err) + } + privKey.PrivateKey = packedSk + default: return nil, fmt.Errorf("x509: unknown key type while marshaling PKCS#8: %T", key) } diff --git a/src/crypto/x509/x509.go b/src/crypto/x509/x509.go index 8c0299b11e9..1ba9508c29d 100644 --- a/src/crypto/x509/x509.go +++ b/src/crypto/x509/x509.go @@ -34,6 +34,9 @@ import ( _ "crypto/sha256" _ "crypto/sha512" + circlPki "circl/pki" + circlSign "circl/sign" + "golang.org/x/crypto/cryptobyte" cryptobyte_asn1 "golang.org/x/crypto/cryptobyte/asn1" ) @@ -100,6 +103,14 @@ func marshalPublicKey(pub interface{}) (publicKeyBytes []byte, publicKeyAlgorith case ed25519.PublicKey: publicKeyBytes = pub publicKeyAlgorithm.Algorithm = oidPublicKeyEd25519 + case circlSign.PublicKey: + scheme, ok := pub.Scheme().(circlPki.CertificateScheme) + if !ok { + return nil, pkix.AlgorithmIdentifier{}, errors.New( + "x509: circl scheme is not CertificateScheme") + } + publicKeyBytes, _ = pub.MarshalBinary() + publicKeyAlgorithm.Algorithm = scheme.Oid() default: return nil, pkix.AlgorithmIdentifier{}, fmt.Errorf("x509: unsupported public key type: %T", pub) } @@ -199,6 +210,7 @@ const ( SHA384WithRSAPSS SHA512WithRSAPSS PureEd25519 + PureEdDilithium3 ) func (algo SignatureAlgorithm) isRSAPSS() bool { @@ -227,13 +239,15 @@ const ( DSA // Unsupported. ECDSA Ed25519 + EdDilithium3 ) var publicKeyAlgoName = [...]string{ - RSA: "RSA", - DSA: "DSA", - ECDSA: "ECDSA", - Ed25519: "Ed25519", + RSA: "RSA", + DSA: "DSA", + ECDSA: "ECDSA", + Ed25519: "Ed25519", + EdDilithium3: "Ed25519-Dilithium3", } func (algo PublicKeyAlgorithm) String() string { @@ -378,7 +392,7 @@ type pssParameters struct { } func getSignatureAlgorithmFromAI(ai pkix.AlgorithmIdentifier) SignatureAlgorithm { - if ai.Algorithm.Equal(oidSignatureEd25519) { + if ai.Algorithm.Equal(oidSignatureEd25519) || circlPki.SchemeByOid(ai.Algorithm) != nil { // RFC 8410, Section 3 // > For all of the OIDs, the parameters MUST be absent. if len(ai.Parameters.FullBytes) != 0 { @@ -464,8 +478,13 @@ func getPublicKeyAlgorithmFromOID(oid asn1.ObjectIdentifier) PublicKeyAlgorithm return ECDSA case oid.Equal(oidPublicKeyEd25519): return Ed25519 + default: + scheme := circlPki.SchemeByOid(oid) + if scheme == nil { + return UnknownPublicKeyAlgorithm + } + return PublicKeyAlgorithmByCirclScheme(scheme) } - return UnknownPublicKeyAlgorithm } // RFC 5480, 2.1.1.1. Named Curve @@ -822,7 +841,7 @@ func checkSignature(algo SignatureAlgorithm, signed, signature []byte, publicKey switch hashType { case crypto.Hash(0): - if pubKeyAlgo != Ed25519 { + if pubKeyAlgo != Ed25519 && CirclSchemeByPublicKeyAlgorithm(pubKeyAlgo) == nil { return ErrUnsupportedAlgorithm } case crypto.MD5: @@ -862,6 +881,19 @@ func checkSignature(algo SignatureAlgorithm, signed, signature []byte, publicKey return errors.New("x509: Ed25519 verification failure") } return + case circlSign.PublicKey: + scheme := pub.Scheme() + expectedAlg := PublicKeyAlgorithmByCirclScheme(scheme) + if expectedAlg == UnknownPublicKeyAlgorithm { + return ErrUnsupportedAlgorithm + } + if expectedAlg != pubKeyAlgo { + return signaturePublicKeyAlgoMismatchError(pubKeyAlgo, pub) + } + if !scheme.Verify(pub, signed, signature, nil) { + return fmt.Errorf("x509: %s verification failed", scheme.Name()) + } + return } return ErrUnsupportedAlgorithm } @@ -1012,6 +1044,19 @@ func parsePublicKey(algo PublicKeyAlgorithm, keyData *publicKeyInfo) (interface{ copy(pub, asn1Data) return ed25519.PublicKey(pub), nil default: + if scheme := CirclSchemeByPublicKeyAlgorithm(algo); scheme != nil { + if len(keyData.Algorithm.Parameters.FullBytes) != 0 { + return nil, fmt.Errorf( + "x509: %skey encoded with illegal parameters", + scheme.Name(), + ) + } + pub, err := scheme.UnmarshalBinaryPublicKey(asn1Data) + if err != nil { + return nil, fmt.Errorf("x509: %s: %v", scheme.Name(), err) + } + return pub, nil + } return nil, nil } } @@ -2041,9 +2086,21 @@ func signingParamsForPublicKey(pub interface{}, requestedSigAlgo SignatureAlgori case ed25519.PublicKey: pubType = Ed25519 sigAlgo.Algorithm = oidSignatureEd25519 - + case circlSign.PublicKey: + scheme := pub.Scheme() + certScheme, ok := scheme.(circlPki.CertificateScheme) + if !ok { + err = errors.New("x509: circl scheme is not CertificateScheme") + return + } + pubType = PublicKeyAlgorithmByCirclScheme(scheme) + if pubType == UnknownPublicKeyAlgorithm { + err = errors.New("x509: particular circl scheme not supported") + return + } + sigAlgo.Algorithm = certScheme.Oid() default: - err = errors.New("x509: only RSA, ECDSA and Ed25519 keys supported") + err = errors.New("x509: only RSA, ECDSA, Ed25519 and circl keys supported") } if err != nil { @@ -2062,7 +2119,8 @@ func signingParamsForPublicKey(pub interface{}, requestedSigAlgo SignatureAlgori return } sigAlgo.Algorithm, hashFunc = details.oid, details.hash - if hashFunc == 0 && pubType != Ed25519 { + if hashFunc == 0 && (pubType != Ed25519 && + CirclSchemeByPublicKeyAlgorithm(pubType) == nil) { err = errors.New("x509: cannot sign with hash function requested") return } diff --git a/src/crypto/x509/x509_cf.go b/src/crypto/x509/x509_cf.go new file mode 100644 index 00000000000..88278cdfc4b --- /dev/null +++ b/src/crypto/x509/x509_cf.go @@ -0,0 +1,73 @@ +package x509 + +import ( + circlPki "circl/pki" + circlSign "circl/sign" + + "circl/sign/eddilithium3" + + "crypto" + "encoding/asn1" +) + +// To add a signature scheme from Circl +// +// 1. make sure it implements CertificateScheme, +// 2. add SignatureAlgorithm and PublicKeyAlgorithm constants in x509.go +// 3. add row in circlSchemes below +// 4. update publicKeyAlgoName in x509.go + +var circlSchemes = [...]struct { + sga SignatureAlgorithm + alg PublicKeyAlgorithm + scheme circlSign.Scheme +}{ + {PureEdDilithium3, EdDilithium3, eddilithium3.Scheme}, +} + +func CirclSchemeByPublicKeyAlgorithm(alg PublicKeyAlgorithm) circlSign.Scheme { + for _, cs := range circlSchemes { + if cs.alg == alg { + return cs.scheme + } + } + return nil +} + +func SignatureAlgorithmByCirclScheme(scheme circlSign.Scheme) SignatureAlgorithm { + for _, cs := range circlSchemes { + if cs.scheme == scheme { + return cs.sga + } + } + return UnknownSignatureAlgorithm +} + +func PublicKeyAlgorithmByCirclScheme(scheme circlSign.Scheme) PublicKeyAlgorithm { + for _, cs := range circlSchemes { + if cs.scheme == scheme { + return cs.alg + } + } + return UnknownPublicKeyAlgorithm +} + +func init() { + for _, cs := range circlSchemes { + signatureAlgorithmDetails = append(signatureAlgorithmDetails, + struct { + algo SignatureAlgorithm + name string + oid asn1.ObjectIdentifier + pubKeyAlgo PublicKeyAlgorithm + hash crypto.Hash + }{ + cs.sga, + cs.scheme.Name(), + cs.scheme.(circlPki.CertificateScheme).Oid(), + cs.alg, + crypto.Hash(0), + }, + ) + } +} diff --git a/src/crypto/x509/x509_test.go b/src/crypto/x509/x509_test.go index 51dda16815b..3608eef7d4a 100644 --- a/src/crypto/x509/x509_test.go +++ b/src/crypto/x509/x509_test.go @@ -595,6 +595,25 @@ func TestCreateSelfSignedCertificate(t *testing.T) { {"Ed25519", ed25519Pub, ed25519Priv, true, PureEd25519}, } + for _, cs := range circlSchemes { + pk, sk, err := cs.scheme.GenerateKey() + if err != nil { + t.Fatal() + } + tests = append(tests, struct { + name string + pub, priv interface{} + checkSig bool + sigAlgo SignatureAlgorithm + }{ + cs.scheme.Name(), + pk, + sk, + true, + cs.sga, + }) + } + testExtKeyUsage := []ExtKeyUsage{ExtKeyUsageClientAuth, ExtKeyUsageServerAuth} testUnknownExtKeyUsage := []asn1.ObjectIdentifier{[]int{1, 2, 3}, []int{2, 59, 1}} extraExtensionData := []byte("extra extension") From 4e0683c81c235e653ec5726066e48a5ea79c55a1 Mon Sep 17 00:00:00 2001 From: Bas Westerbaan Date: Fri, 16 Oct 2020 15:25:52 +0200 Subject: [PATCH 08/69] circl: Update and vendor golang.org/x/crypto/sha3 --- src/circl/.github/workflows/ci-actions.yml | 4 +- src/circl/README.md | 2 +- src/circl/dh/csidh/fp511_test.go | 10 +- src/circl/dh/csidh/utils_test.go | 12 +- src/circl/internal/nist/drbg.go | 64 +++ src/circl/kem/kem.go | 107 ++++ src/circl/kem/kyber/doc.go | 11 + src/circl/kem/kyber/gen.go | 59 +++ src/circl/kem/kyber/kat_test.go | 67 +++ src/circl/kem/kyber/kyber1024/kyber.go | 393 ++++++++++++++ src/circl/kem/kyber/kyber512/kyber.go | 393 ++++++++++++++ src/circl/kem/kyber/kyber768/kyber.go | 393 ++++++++++++++ src/circl/kem/kyber/templates/pkg.templ.go | 397 ++++++++++++++ src/circl/kem/schemes/schemes.go | 37 ++ src/circl/kem/schemes/schemes_test.go | 81 +++ src/circl/pke/doc.go | 2 + src/circl/pke/kyber/gen.go | 197 +++++++ src/circl/pke/kyber/internal/common/field.go | 74 +++ .../pke/kyber/internal/common/field_test.go | 86 +++ src/circl/pke/kyber/internal/common/ntt.go | 157 ++++++ .../pke/kyber/internal/common/ntt_test.go | 60 +++ src/circl/pke/kyber/internal/common/params.go | 15 + src/circl/pke/kyber/internal/common/poly.go | 345 ++++++++++++ .../pke/kyber/internal/common/poly_test.go | 126 +++++ src/circl/pke/kyber/internal/common/sample.go | 78 +++ .../pke/kyber/internal/common/sample_test.go | 91 ++++ src/circl/pke/kyber/kyber.go | 10 + .../pke/kyber/kyber1024/internal/cpapke.go | 179 +++++++ .../kyber/kyber1024/internal/cpapke_test.go | 46 ++ src/circl/pke/kyber/kyber1024/internal/mat.go | 34 ++ .../pke/kyber/kyber1024/internal/params.go | 20 + .../kyber/kyber1024/internal/params_test.go | 25 + src/circl/pke/kyber/kyber1024/internal/vec.go | 125 +++++ src/circl/pke/kyber/kyber1024/kyber.go | 145 ++++++ .../pke/kyber/kyber512/internal/cpapke.go | 177 +++++++ .../kyber/kyber512/internal/cpapke_test.go | 44 ++ src/circl/pke/kyber/kyber512/internal/mat.go | 32 ++ .../pke/kyber/kyber512/internal/params.go | 20 + .../kyber/kyber512/internal/params_test.go | 25 + src/circl/pke/kyber/kyber512/internal/vec.go | 123 +++++ src/circl/pke/kyber/kyber512/kyber.go | 145 ++++++ .../pke/kyber/kyber768/internal/cpapke.go | 179 +++++++ .../kyber/kyber768/internal/cpapke_test.go | 46 ++ src/circl/pke/kyber/kyber768/internal/mat.go | 34 ++ .../pke/kyber/kyber768/internal/params.go | 20 + .../kyber/kyber768/internal/params_test.go | 25 + src/circl/pke/kyber/kyber768/internal/vec.go | 125 +++++ src/circl/pke/kyber/kyber768/kyber.go | 145 ++++++ src/circl/pke/kyber/templates/params.templ.go | 24 + src/circl/pke/kyber/templates/pkg.templ.go | 149 ++++++ .../sign/dilithium/internal/common/amd64.s | 128 ++--- src/circl/sign/dilithium/kat_test.go | 65 +-- .../dilithium/mode1/internal/dilithium.go | 2 + .../mode1/internal/dilithium_test.go | 2 + .../sign/dilithium/mode1/internal/mat.go | 4 +- .../sign/dilithium/mode1/internal/pack.go | 2 + .../dilithium/mode1/internal/pack_test.go | 2 + .../sign/dilithium/mode1/internal/sample.go | 2 + .../dilithium/mode1/internal/sample_test.go | 2 + .../sign/dilithium/mode1/internal/vec.go | 2 + .../dilithium/mode1aes/internal/dilithium.go | 2 + .../mode1aes/internal/dilithium_test.go | 2 + .../sign/dilithium/mode1aes/internal/mat.go | 4 +- .../sign/dilithium/mode1aes/internal/pack.go | 2 + .../dilithium/mode1aes/internal/pack_test.go | 2 + .../dilithium/mode1aes/internal/sample.go | 2 + .../mode1aes/internal/sample_test.go | 2 + .../sign/dilithium/mode1aes/internal/vec.go | 2 + .../dilithium/mode2/internal/dilithium.go | 2 + .../mode2/internal/dilithium_test.go | 2 + .../sign/dilithium/mode2/internal/mat.go | 4 +- .../sign/dilithium/mode2/internal/pack.go | 2 + .../dilithium/mode2/internal/pack_test.go | 2 + .../sign/dilithium/mode2/internal/sample.go | 2 + .../dilithium/mode2/internal/sample_test.go | 2 + .../sign/dilithium/mode2/internal/vec.go | 2 + .../dilithium/mode2aes/internal/dilithium.go | 2 + .../mode2aes/internal/dilithium_test.go | 2 + .../sign/dilithium/mode2aes/internal/mat.go | 4 +- .../sign/dilithium/mode2aes/internal/pack.go | 2 + .../dilithium/mode2aes/internal/pack_test.go | 2 + .../dilithium/mode2aes/internal/sample.go | 2 + .../mode2aes/internal/sample_test.go | 2 + .../sign/dilithium/mode2aes/internal/vec.go | 2 + .../sign/dilithium/mode3/internal/mat.go | 2 +- .../dilithium/mode3aes/internal/dilithium.go | 2 + .../mode3aes/internal/dilithium_test.go | 2 + .../sign/dilithium/mode3aes/internal/mat.go | 4 +- .../sign/dilithium/mode3aes/internal/pack.go | 2 + .../dilithium/mode3aes/internal/pack_test.go | 2 + .../dilithium/mode3aes/internal/sample.go | 2 + .../mode3aes/internal/sample_test.go | 2 + .../sign/dilithium/mode3aes/internal/vec.go | 2 + .../dilithium/mode4/internal/dilithium.go | 2 + .../mode4/internal/dilithium_test.go | 2 + .../sign/dilithium/mode4/internal/mat.go | 4 +- .../sign/dilithium/mode4/internal/pack.go | 2 + .../dilithium/mode4/internal/pack_test.go | 2 + .../sign/dilithium/mode4/internal/sample.go | 2 + .../dilithium/mode4/internal/sample_test.go | 2 + .../sign/dilithium/mode4/internal/vec.go | 2 + .../dilithium/mode4aes/internal/dilithium.go | 2 + .../mode4aes/internal/dilithium_test.go | 2 + .../sign/dilithium/mode4aes/internal/mat.go | 4 +- .../sign/dilithium/mode4aes/internal/pack.go | 2 + .../dilithium/mode4aes/internal/pack_test.go | 2 + .../dilithium/mode4aes/internal/sample.go | 2 + .../mode4aes/internal/sample_test.go | 2 + .../sign/dilithium/mode4aes/internal/vec.go | 2 + src/go/build/deps_test.go | 2 + src/vendor/golang.org/x/crypto/sha3/doc.go | 66 +++ src/vendor/golang.org/x/crypto/sha3/hashes.go | 97 ++++ .../x/crypto/sha3/hashes_generic.go | 27 + .../golang.org/x/crypto/sha3/keccakf.go | 412 +++++++++++++++ .../golang.org/x/crypto/sha3/keccakf_amd64.go | 13 + .../golang.org/x/crypto/sha3/keccakf_amd64.s | 390 ++++++++++++++ .../golang.org/x/crypto/sha3/register.go | 18 + src/vendor/golang.org/x/crypto/sha3/sha3.go | 193 +++++++ .../golang.org/x/crypto/sha3/sha3_s390x.go | 284 ++++++++++ .../golang.org/x/crypto/sha3/sha3_s390x.s | 33 ++ .../golang.org/x/crypto/sha3/sha3_test.go | 490 ++++++++++++++++++ src/vendor/golang.org/x/crypto/sha3/shake.go | 173 +++++++ .../golang.org/x/crypto/sha3/shake_generic.go | 19 + .../sha3/testdata/keccakKats.json.deflate | Bin 0 -> 540828 bytes src/vendor/golang.org/x/crypto/sha3/xor.go | 23 + .../golang.org/x/crypto/sha3/xor_generic.go | 28 + .../golang.org/x/crypto/sha3/xor_unaligned.go | 67 +++ 127 files changed, 7667 insertions(+), 147 deletions(-) create mode 100644 src/circl/internal/nist/drbg.go create mode 100644 src/circl/kem/kem.go create mode 100644 src/circl/kem/kyber/doc.go create mode 100644 src/circl/kem/kyber/gen.go create mode 100644 src/circl/kem/kyber/kat_test.go create mode 100644 src/circl/kem/kyber/kyber1024/kyber.go create mode 100644 src/circl/kem/kyber/kyber512/kyber.go create mode 100644 src/circl/kem/kyber/kyber768/kyber.go create mode 100644 src/circl/kem/kyber/templates/pkg.templ.go create mode 100644 src/circl/kem/schemes/schemes.go create mode 100644 src/circl/kem/schemes/schemes_test.go create mode 100644 src/circl/pke/doc.go create mode 100644 src/circl/pke/kyber/gen.go create mode 100644 src/circl/pke/kyber/internal/common/field.go create mode 100644 src/circl/pke/kyber/internal/common/field_test.go create mode 100644 src/circl/pke/kyber/internal/common/ntt.go create mode 100644 src/circl/pke/kyber/internal/common/ntt_test.go create mode 100644 src/circl/pke/kyber/internal/common/params.go create mode 100644 src/circl/pke/kyber/internal/common/poly.go create mode 100644 src/circl/pke/kyber/internal/common/poly_test.go create mode 100644 src/circl/pke/kyber/internal/common/sample.go create mode 100644 src/circl/pke/kyber/internal/common/sample_test.go create mode 100644 src/circl/pke/kyber/kyber.go create mode 100644 src/circl/pke/kyber/kyber1024/internal/cpapke.go create mode 100644 src/circl/pke/kyber/kyber1024/internal/cpapke_test.go create mode 100644 src/circl/pke/kyber/kyber1024/internal/mat.go create mode 100644 src/circl/pke/kyber/kyber1024/internal/params.go create mode 100644 src/circl/pke/kyber/kyber1024/internal/params_test.go create mode 100644 src/circl/pke/kyber/kyber1024/internal/vec.go create mode 100644 src/circl/pke/kyber/kyber1024/kyber.go create mode 100644 src/circl/pke/kyber/kyber512/internal/cpapke.go create mode 100644 src/circl/pke/kyber/kyber512/internal/cpapke_test.go create mode 100644 src/circl/pke/kyber/kyber512/internal/mat.go create mode 100644 src/circl/pke/kyber/kyber512/internal/params.go create mode 100644 src/circl/pke/kyber/kyber512/internal/params_test.go create mode 100644 src/circl/pke/kyber/kyber512/internal/vec.go create mode 100644 src/circl/pke/kyber/kyber512/kyber.go create mode 100644 src/circl/pke/kyber/kyber768/internal/cpapke.go create mode 100644 src/circl/pke/kyber/kyber768/internal/cpapke_test.go create mode 100644 src/circl/pke/kyber/kyber768/internal/mat.go create mode 100644 src/circl/pke/kyber/kyber768/internal/params.go create mode 100644 src/circl/pke/kyber/kyber768/internal/params_test.go create mode 100644 src/circl/pke/kyber/kyber768/internal/vec.go create mode 100644 src/circl/pke/kyber/kyber768/kyber.go create mode 100644 src/circl/pke/kyber/templates/params.templ.go create mode 100644 src/circl/pke/kyber/templates/pkg.templ.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/doc.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/hashes.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/hashes_generic.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/keccakf.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.s create mode 100644 src/vendor/golang.org/x/crypto/sha3/register.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/sha3.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/sha3_s390x.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/sha3_s390x.s create mode 100644 src/vendor/golang.org/x/crypto/sha3/sha3_test.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/shake.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/shake_generic.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/testdata/keccakKats.json.deflate create mode 100644 src/vendor/golang.org/x/crypto/sha3/xor.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/xor_generic.go create mode 100644 src/vendor/golang.org/x/crypto/sha3/xor_unaligned.go diff --git a/src/circl/.github/workflows/ci-actions.yml b/src/circl/.github/workflows/ci-actions.yml index 61f5b445196..c8398715434 100644 --- a/src/circl/.github/workflows/ci-actions.yml +++ b/src/circl/.github/workflows/ci-actions.yml @@ -19,7 +19,7 @@ jobs: - name: Linting uses: golangci/golangci-lint-action@v1 with: - version: v1.27 + version: v1.29 args: --config=./.etc/golangci.yml ./... - name: Setup Go-${{ matrix.GOVER }} uses: actions/setup-go@v2 @@ -32,7 +32,7 @@ jobs: - name: Building run: go build -v ./... - name: Testing - run: go test -v ./... + run: go test -v -count=1 ./... exotic_job: name: Go-${{matrix.CFG[2]}}/${{matrix.CFG[0]}} runs-on: ubuntu-18.04 diff --git a/src/circl/README.md b/src/circl/README.md index 4a845c9f82f..329ca64f086 100644 --- a/src/circl/README.md +++ b/src/circl/README.md @@ -39,6 +39,7 @@ Version numbers are [Semvers](https://semver.org/). We release a minor version f | Key Exchange | FourQ | One of the fastest elliptic curves at 128-bit security level. | Experimental for key agreement and digital signatures. | | Key Exchange / Digital signatures | P-384 | Our optimizations reduce the burden when moving from P-256 to P-384. | ECDSA and ECDH using Suite B at top secret level. | | Digital Signatures | Ed25519, Ed448 | RFC-8032 provides new signature schemes based on Edwards curves. | Digital certificates and authentication. | +| PQ KEM/PKE | Kyber | Lattice (M-LWE) based IND-CCA2 secure key encapsulation mechanism and IND-CPA secure public key encryption | Post-Quantum Key exchange | | PQ Digital Signatures | Dilithium, Hybrid modes | Lattice (Module LWE) based signature scheme | Post-Quantum PKI | ### Work in Progress @@ -48,7 +49,6 @@ Version numbers are [Semvers](https://semver.org/). We release a minor version f | Hashing to Elliptic Curve Groups | Several algorithms: Elligator2, Ristretto, SWU, Icart. | Protocols based on elliptic curves require hash functions that map bit strings to points on an elliptic curve. | VOPRF. OPAQUE. PAKE. Verifiable random functions. | | Bilinear Pairings | Plans for moving BN256 to stronger pairing curves. | A bilineal pairing is a mathematical operation that enables the implementation of advanced cryptographic protocols, such as identity-based encryption (IBE), short digital signatures (BLS), and attribute-based encryption (ABE). | Geo Key Manager, Randomness Beacon, Ethereum and other blockchain applications. | | PQ KEM | HRSS-SXY | Lattice (NTRU) based key encapsulation mechanism. | Key exchange for low-latency environments | -| PQ KEM | Kyber | Lattice (M-LWE) based key encapsulation mechanism. | Post-Quantum Key exchange | | PQ Digital Signatures | SPHINCS+ | Stateless hash-based signature scheme | Post-Quantum PKI | ## Testing and Benchmarking diff --git a/src/circl/dh/csidh/fp511_test.go b/src/circl/dh/csidh/fp511_test.go index cd9d2018682..c2920bacbd6 100644 --- a/src/circl/dh/csidh/fp511_test.go +++ b/src/circl/dh/csidh/fp511_test.go @@ -4,6 +4,8 @@ import ( "crypto/rand" "math/big" "testing" + + "circl/internal/test" ) func testFp512Mul3Nominal(t *testing.T, f func(*fp, *fp, uint64)) { @@ -27,7 +29,7 @@ func testFp512Mul3Nominal(t *testing.T, f func(*fp, *fp, uint64)) { res, _ := new(big.Int).SetString(fp2S(fV), 16) if exp.Cmp(res) != 0 { - t.Errorf("%X != %X", exp, res) + test.ReportError(t, exp, res, fV) } } } @@ -58,7 +60,7 @@ func TestAddRdcRandom(t *testing.T) { bigA.Mod(bigA, modulus) if bigRet.Cmp(bigA) != 0 { - t.Errorf("%X != %X", bigRet, bigA) + test.ReportError(t, bigRet, bigA, a, b) } } } @@ -111,7 +113,7 @@ func TestFp512Sub3_Nominal(t *testing.T) { bigA.Mod(bigA, &mod) if bigRet.Cmp(bigA) != 0 { - t.Errorf("%X != %X", bigRet, bigA) + test.ReportError(t, bigRet, bigA, a, b) } } } @@ -293,7 +295,7 @@ func TestModExp(t *testing.T) { modExpRdc512(&resFp, &baseFp, &expFp) if !eqFp(&resFp, &resFpExp) { - t.Errorf("Wrong value\n%X!=%X", resFp, intGetU64(&resExp)) + test.ReportError(t, resFp, intGetU64(&resExp), base, exp) } } } diff --git a/src/circl/dh/csidh/utils_test.go b/src/circl/dh/csidh/utils_test.go index d7d41edc5f6..08ecee5a2bd 100644 --- a/src/circl/dh/csidh/utils_test.go +++ b/src/circl/dh/csidh/utils_test.go @@ -1,9 +1,10 @@ package csidh import ( + "crypto/rand" + "encoding/binary" "fmt" "math/big" - mrand "math/rand" ) var ( @@ -50,12 +51,9 @@ func zero(v *fp) { } // returns random value in a range (0,p). -func randomFp() fp { - var u fp - for i := 0; i < 8; i++ { - u[i] = mrand.Uint64() - } - return u +func randomFp() (u fp) { + _ = binary.Read(rand.Reader, binary.LittleEndian, &u) + return } // return x==y for fp. diff --git a/src/circl/internal/nist/drbg.go b/src/circl/internal/nist/drbg.go new file mode 100644 index 00000000000..e541ec46170 --- /dev/null +++ b/src/circl/internal/nist/drbg.go @@ -0,0 +1,64 @@ +// Package nist implements helpers to generate NIST's Known Answer Tests (KATs). +package nist + +import ( + "crypto/aes" +) + +// See NIST's PQCgenKAT.c. +type DRBG struct { + key [32]byte + v [16]byte +} + +func (g *DRBG) incV() { + for j := 15; j >= 0; j-- { + if g.v[j] == 255 { + g.v[j] = 0 + } else { + g.v[j]++ + break + } + } +} + +// AES256_CTR_DRBG_Update(pd, &g.key, &g.v). +func (g *DRBG) update(pd *[48]byte) { + var buf [48]byte + b, _ := aes.NewCipher(g.key[:]) + for i := 0; i < 3; i++ { + g.incV() + b.Encrypt(buf[i*16:(i+1)*16], g.v[:]) + } + if pd != nil { + for i := 0; i < 48; i++ { + buf[i] ^= pd[i] + } + } + copy(g.key[:], buf[:32]) + copy(g.v[:], buf[32:]) +} + +// randombyte_init(seed, NULL, 256). +func NewDRBG(seed *[48]byte) (g DRBG) { + g.update(seed) + return +} + +// randombytes. +func (g *DRBG) Fill(x []byte) { + var block [16]byte + + b, _ := aes.NewCipher(g.key[:]) + for len(x) > 0 { + g.incV() + b.Encrypt(block[:], g.v[:]) + if len(x) < 16 { + copy(x[:], block[:len(x)]) + break + } + copy(x[:], block[:]) + x = x[16:] + } + g.update(nil) +} diff --git a/src/circl/kem/kem.go b/src/circl/kem/kem.go new file mode 100644 index 00000000000..9c1ee556334 --- /dev/null +++ b/src/circl/kem/kem.go @@ -0,0 +1,107 @@ +// Package kem provides a unified interface for KEM schemes. +// +// A register of schemes is available in the package +// +// circl/kem/schemes +package kem + +import ( + "encoding" + "errors" +) + +// A KEM public key +type PublicKey interface { + // Returns the scheme for this public key + Scheme() Scheme + + encoding.BinaryMarshaler + Equal(PublicKey) bool +} + +// A KEM private key +type PrivateKey interface { + // Returns the scheme for this private key + Scheme() Scheme + + encoding.BinaryMarshaler + Equal(PrivateKey) bool +} + +// A Scheme represents a specific instance of a KEM. +type Scheme interface { + // Name of the scheme + Name() string + + // GenerateKey creates a new key pair. + GenerateKey() (PublicKey, PrivateKey, error) + + // Encapsulate generates a shared key ss for the public key and + // encapsulates it into a ciphertext ct. + Encapsulate(pk PublicKey) (ct []byte, ss []byte) + + // Returns the shared key encapsulated in ciphertext ct for the + // private key sk. + // + // Panics if ct is not of size CiphertextSize(). + Decapsulate(sk PrivateKey, ct []byte) []byte + + // Unmarshals a PublicKey from the provided buffer. + UnmarshalBinaryPublicKey([]byte) (PublicKey, error) + + // Unmarshals a PrivateKey from the provided buffer. + UnmarshalBinaryPrivateKey([]byte) (PrivateKey, error) + + // Size of encapsulated keys. + CiphertextSize() int + + // Size of established shared keys. + SharedKeySize() int + + // Size of packed private keys. + PrivateKeySize() int + + // Size of packed public keys. + PublicKeySize() int + + // Deterministicallly derives a keypair from a seed. If you're unsure, + // you're better off using GenerateKey(). + // + // Panics if seed is not of length SeedSize(). + DeriveKey(seed []byte) (PublicKey, PrivateKey) + + // Size of seed used in DeriveKey + SeedSize() int + + // EncapsulateDeterministically generates a shared key ss for the public + // key deterministically from the given seed and encapsulates it into + // a ciphertext ct. If unsure, you're better off using Encapsulate(). + // + // Panics if seed is not of length EncapsulationSeedSize(). + EncapsulateDeterministically(pk PublicKey, seed []byte) (ct, ss []byte) + + // Size of seed used in EncapsulateDeterministically(). + EncapsulationSeedSize() int +} + +var ( + // ErrTypeMismatch is the error used if types of, for instance, private + // and public keys don't match + ErrTypeMismatch = errors.New("types mismatch") + + // ErrSeedSize is the error used if the provided seed is of the wrong + // size. + ErrSeedSize = errors.New("wrong seed size") + + // ErrPubKeySize is the error used if the provided public key is of + // the wrong size. + ErrPubKeySize = errors.New("wrong size for public key") + + // ErrCiphertextSize is the error used if the provided ciphertext + // is of the wrong size. + ErrCiphertextSize = errors.New("wrong size for ciphertext") + + // ErrPrivKeySize is the error used if the provided private key is of + // the wrong size. + ErrPrivKeySize = errors.New("wrong size for private key") +) diff --git a/src/circl/kem/kyber/doc.go b/src/circl/kem/kyber/doc.go new file mode 100644 index 00000000000..eef215e91eb --- /dev/null +++ b/src/circl/kem/kyber/doc.go @@ -0,0 +1,11 @@ +//go:generate go run gen.go + +// Package kyber implements the CRYSTALS-Kyber.CCAKEM IND-CCA2 secure +// key encapsulation mechanism (KEM) as submitted to round 2 of the NIST PQC +// competition and described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// +// The related public key encryption scheme CRYSTALS-Kyber.CPAPKE can be +// found in the package circl/pke/kyber. +package kyber diff --git a/src/circl/kem/kyber/gen.go b/src/circl/kem/kyber/gen.go new file mode 100644 index 00000000000..a844b813547 --- /dev/null +++ b/src/circl/kem/kyber/gen.go @@ -0,0 +1,59 @@ +// +build ignore + +// Autogenerates wrappers from templates to prevent too much duplicated code +// between the code for different modes. +package main + +import ( + "bytes" + "io/ioutil" + "strings" + "text/template" +) + +type Instance struct { + Name string +} + +func (m Instance) Pkg() string { + return strings.ToLower(m.Name) +} + +var ( + Instances = []Instance{ + {Name: "Kyber512"}, + {Name: "Kyber768"}, + {Name: "Kyber1024"}, + } + TemplateWarning = "// Code generated from" +) + +func main() { + generatePackageFiles() +} + +// Generates instance/kyber.go from templates/pkg.templ.go +func generatePackageFiles() { + tl, err := template.ParseFiles("templates/pkg.templ.go") + if err != nil { + panic(err) + } + + for _, mode := range Instances { + buf := new(bytes.Buffer) + err := tl.Execute(buf, mode) + if err != nil { + panic(err) + } + + res := string(buf.Bytes()) + offset := strings.Index(res, TemplateWarning) + if offset == -1 { + panic("Missing template warning in pkg.templ.go") + } + err = ioutil.WriteFile(mode.Pkg()+"/kyber.go", []byte(res[offset:]), 0644) + if err != nil { + panic(err) + } + } +} diff --git a/src/circl/kem/kyber/kat_test.go b/src/circl/kem/kyber/kat_test.go new file mode 100644 index 00000000000..5574bafe12c --- /dev/null +++ b/src/circl/kem/kyber/kat_test.go @@ -0,0 +1,67 @@ +package kyber + +// Code to generate the NIST "PQCsignKAT" test vectors. +// See PQCsignKAT_sign.c and randombytes.c in the reference implementation. + +import ( + "bytes" + "crypto/sha256" + "fmt" + "testing" + + "circl/internal/nist" + "circl/kem/schemes" +) + +func TestPQCgenKATKem(t *testing.T) { + // Computed from reference implementation + testPQCgenKATKem(t, "Kyber1024", "9e6441f6f77cd33ba2b7e1324ec66e7623808fe91896e7f06ee054e3a8645e93") + testPQCgenKATKem(t, "Kyber768", "6a9a983f3a003117c00f2adf8a1b42692429d40fd99ad12462caeb48e737a6eb") + testPQCgenKATKem(t, "Kyber512", "0da040de6aa757004315e18bfca4f25f6f9cd86e676bc87feb44cd87f3687db8") +} + +func testPQCgenKATKem(t *testing.T, name, expected string) { + scheme := schemes.ByName(name) + if scheme == nil { + t.Fatal() + } + + var seed [48]byte + kseed := make([]byte, scheme.SeedSize()) + eseed := make([]byte, scheme.EncapsulationSeedSize()) + for i := 0; i < 48; i++ { + seed[i] = byte(i) + } + f := sha256.New() + g := nist.NewDRBG(&seed) + fmt.Fprintf(f, "# %s\n\n", name) + for i := 0; i < 100; i++ { + g.Fill(seed[:]) + fmt.Fprintf(f, "count = %d\n", i) + fmt.Fprintf(f, "seed = %X\n", seed) + g2 := nist.NewDRBG(&seed) + + // This is not equivalent to g2.Fill(kseed[:]). As the reference + // implementation calls randombytes twice generating the keypair, + // we have to do that as well. + g2.Fill(kseed[:32]) + g2.Fill(kseed[32:]) + + g2.Fill(eseed) + pk, sk := scheme.DeriveKey(kseed) + ppk, _ := pk.MarshalBinary() + psk, _ := sk.MarshalBinary() + ct, ss := scheme.EncapsulateDeterministically(pk, eseed) + ss2 := scheme.Decapsulate(sk, ct) + if !bytes.Equal(ss, ss2) { + t.Fatal() + } + fmt.Fprintf(f, "pk = %X\n", ppk) + fmt.Fprintf(f, "sk = %X\n", psk) + fmt.Fprintf(f, "ct = %X\n", ct) + fmt.Fprintf(f, "ss = %X\n\n", ss) + } + if fmt.Sprintf("%x", f.Sum(nil)) != expected { + t.Fatal() + } +} diff --git a/src/circl/kem/kyber/kyber1024/kyber.go b/src/circl/kem/kyber/kyber1024/kyber.go new file mode 100644 index 00000000000..e09fba31280 --- /dev/null +++ b/src/circl/kem/kyber/kyber1024/kyber.go @@ -0,0 +1,393 @@ +// Code generated from pkg.templ.go. DO NOT EDIT. + +// kyber1024 implements the IND-CCA2 secure key encapsulation mechanism +// Kyber1024.CCAKEM as submitted to round2 of the NIST PQC competition and +// described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package kyber1024 + +import ( + "circl/kem" + cpapke "circl/pke/kyber/kyber1024" + + "golang.org/x/crypto/sha3" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = cpapke.KeySeedSize + 32 + + // Size of seed for EncapsulateTo. + EncapsulationSeedSize = 32 + + // Size of the established shared key. + SharedKeySize = 32 + + // Size of the encapsulated shared key. + CiphertextSize = cpapke.CiphertextSize + + // Size of a packed public key. + PublicKeySize = cpapke.PublicKeySize + + // Size of a packed private key. + PrivateKeySize = cpapke.PrivateKeySize + cpapke.PublicKeySize + 64 +) + +// Type of a Kyber1024.CCAKEM public key +type PublicKey struct { + pk *cpapke.PublicKey + + hpk [32]byte // H(pk) +} + +// Type of a Kyber1024.CCAKEM private key +type PrivateKey struct { + sk *cpapke.PrivateKey + pk *cpapke.PublicKey + hpk [32]byte // H(pk) + z [32]byte +} + +// NewKeyFromSeed derives a public/private keypair deterministically +// from the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + var sk PrivateKey + var pk PublicKey + + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + + pk.pk, sk.sk = cpapke.NewKeyFromSeed(seed[:cpapke.KeySeedSize]) + sk.pk = pk.pk + copy(sk.z[:], seed[cpapke.KeySeedSize:]) + + // Compute H(pk) + var ppk [cpapke.PublicKeySize]byte + sk.pk.Pack(ppk[:]) + h := sha3.New256() // XXX use internal sha3 + h.Write(ppk[:]) + h.Sum(sk.hpk[:0]) + copy(pk.hpk[:], sk.hpk[:]) + + return &pk, &sk +} + +// GenerateKey generates a public/private keypair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(seed[:]) + return pk, sk, nil +} + +// EncapsulateTo generates a shared key and ciphertext that contains it +// for the public key using randomness from seed and writes the shared key +// to ss and ciphertext to ct. +// +// Panics if ss, ct or seed are not of length SharedKeySize, CiphertextSize +// and EncapsulationSeedSize respectively. +// +// seed may be nil, in which case crypto/rand.Reader is used to generate one. +func (pk *PublicKey) EncapsulateTo(ct, ss []byte, seed []byte) { + if seed == nil { + seed := make([]byte, EncapsulationSeedSize) + cryptoRand.Read(seed[:]) + } else { + if len(seed) != EncapsulationSeedSize { + panic("seed must be of length EncapsulationSeedSize") + } + } + + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m = H(seed) + var m [32]byte + h := sha3.New256() + h.Write(seed[:]) + h.Sum(m[:0]) + + // (K', r) = G(m ‖ H(pk)) + var kr [64]byte + g := sha3.New512() + g.Write(m[:]) + g.Write(pk.hpk[:]) + g.Sum(kr[:0]) + + // c = Kyber.CPAPKE.Enc(pk, m, r) + pk.pk.EncryptTo(ct, kr[32:], m[:]) + + // Compute H(c) and put in second slot of kr, which will be (K', H(c)). + h.Reset() + h.Write(ct[:CiphertextSize]) + h.Sum(kr[32:32]) + + // K = KDF(K' ‖ H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// DecapsulateTo computes the shared key which is encapsulated in ct +// for the private key. +// +// Panics if ct or ss are not of length CiphertextSize and SharedKeySize +// respectively. +func (sk *PrivateKey) DecapsulateTo(ss, ct []byte) { + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m' = Kyber.CPAPKE.Dec(sk, ct) + var m2 [32]byte + sk.sk.DecryptTo(m2[:], ct) + + // (K'', r') = G(m' ‖ H(pk)) + var kr2 [64]byte + g := sha3.New512() + g.Write(m2[:]) + g.Write(sk.hpk[:]) + g.Sum(kr2[:0]) + + // c' = Kyber.CPAPKE.Enc(pk, m', r') + var ct2 [CiphertextSize]byte + sk.pk.EncryptTo(ct2[:], kr2[32:], m2[:]) + + // Compute H(c) and put in second slot of kr2, which will be (K'', H(c)). + h := sha3.New256() + h.Write(ct[:CiphertextSize]) + h.Sum(kr2[32:32]) + + // Replace K'' by z in the first slot of kr2 if c ≠ c'. + subtle.ConstantTimeCopy( + 1-subtle.ConstantTimeCompare(ct, ct2[:]), + kr2[:32], + sk.z[:], + ) + + // K = KDF(K''/z, H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr2[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// Packs sk to buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk.Pack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk.Pack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(buf, sk.hpk[:]) + buf = buf[32:] + copy(buf, sk.z[:]) +} + +// Unpacks sk from buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk = new(cpapke.PrivateKey) + sk.sk.Unpack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk = new(cpapke.PublicKey) + sk.pk.Unpack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(sk.hpk[:], buf[:32]) + copy(sk.z[:], buf[32:]) +} + +// Packs pk to buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk.Pack(buf) +} + +// Unpacks pk from buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk = new(cpapke.PublicKey) + pk.pk.Unpack(buf) + + // Compute cached H(pk) + h := sha3.New256() + h.Write(buf) + h.Sum(pk.hpk[:0]) +} + +// Boilerplate down below for the KEM scheme API. + +type scheme struct{} + +var Scheme kem.Scheme = &scheme{} + +func (*scheme) Name() string { return "Kyber1024" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return KeySeedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } +func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + sk.Pack(ret[:]) + return ret[:], nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + if sk.pk == nil && oth.pk == nil { + return true + } + if sk.pk == nil || oth.pk == nil { + return false + } + if !bytes.Equal(sk.hpk[:], oth.hpk[:]) || + !bytes.Equal(sk.z[:], oth.z[:]) { + return false + } + return sk.sk.Equal(oth.sk) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + if pk.pk == nil && oth.pk == nil { + return true + } + if pk.pk == nil || oth.pk == nil { + return false + } + return bytes.Equal(pk.hpk[:], oth.hpk[:]) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + pk.Pack(ret[:]) + return ret[:], nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != KeySeedSize { + panic(kem.ErrSeedSize) + } + return NewKeyFromSeed(seed[:]) +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, nil) + return +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( + ct []byte, ss []byte) { + if len(seed) != EncapsulationSeedSize { + panic(kem.ErrSeedSize) + } + + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, seed) + return +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { + if len(ct) != CiphertextSize { + panic(kem.ErrCiphertextSize) + } + + priv, ok := sk.(*PrivateKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + ss := make([]byte, SharedKeySize) + priv.DecapsulateTo(ss, ct) + return ss +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + var ret PublicKey + ret.Unpack(buf) + return &ret, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + var ret PrivateKey + ret.Unpack(buf) + return &ret, nil +} diff --git a/src/circl/kem/kyber/kyber512/kyber.go b/src/circl/kem/kyber/kyber512/kyber.go new file mode 100644 index 00000000000..def99a9db29 --- /dev/null +++ b/src/circl/kem/kyber/kyber512/kyber.go @@ -0,0 +1,393 @@ +// Code generated from pkg.templ.go. DO NOT EDIT. + +// kyber512 implements the IND-CCA2 secure key encapsulation mechanism +// Kyber512.CCAKEM as submitted to round2 of the NIST PQC competition and +// described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package kyber512 + +import ( + "circl/kem" + cpapke "circl/pke/kyber/kyber512" + + "golang.org/x/crypto/sha3" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = cpapke.KeySeedSize + 32 + + // Size of seed for EncapsulateTo. + EncapsulationSeedSize = 32 + + // Size of the established shared key. + SharedKeySize = 32 + + // Size of the encapsulated shared key. + CiphertextSize = cpapke.CiphertextSize + + // Size of a packed public key. + PublicKeySize = cpapke.PublicKeySize + + // Size of a packed private key. + PrivateKeySize = cpapke.PrivateKeySize + cpapke.PublicKeySize + 64 +) + +// Type of a Kyber512.CCAKEM public key +type PublicKey struct { + pk *cpapke.PublicKey + + hpk [32]byte // H(pk) +} + +// Type of a Kyber512.CCAKEM private key +type PrivateKey struct { + sk *cpapke.PrivateKey + pk *cpapke.PublicKey + hpk [32]byte // H(pk) + z [32]byte +} + +// NewKeyFromSeed derives a public/private keypair deterministically +// from the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + var sk PrivateKey + var pk PublicKey + + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + + pk.pk, sk.sk = cpapke.NewKeyFromSeed(seed[:cpapke.KeySeedSize]) + sk.pk = pk.pk + copy(sk.z[:], seed[cpapke.KeySeedSize:]) + + // Compute H(pk) + var ppk [cpapke.PublicKeySize]byte + sk.pk.Pack(ppk[:]) + h := sha3.New256() // XXX use internal sha3 + h.Write(ppk[:]) + h.Sum(sk.hpk[:0]) + copy(pk.hpk[:], sk.hpk[:]) + + return &pk, &sk +} + +// GenerateKey generates a public/private keypair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(seed[:]) + return pk, sk, nil +} + +// EncapsulateTo generates a shared key and ciphertext that contains it +// for the public key using randomness from seed and writes the shared key +// to ss and ciphertext to ct. +// +// Panics if ss, ct or seed are not of length SharedKeySize, CiphertextSize +// and EncapsulationSeedSize respectively. +// +// seed may be nil, in which case crypto/rand.Reader is used to generate one. +func (pk *PublicKey) EncapsulateTo(ct, ss []byte, seed []byte) { + if seed == nil { + seed := make([]byte, EncapsulationSeedSize) + cryptoRand.Read(seed[:]) + } else { + if len(seed) != EncapsulationSeedSize { + panic("seed must be of length EncapsulationSeedSize") + } + } + + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m = H(seed) + var m [32]byte + h := sha3.New256() + h.Write(seed[:]) + h.Sum(m[:0]) + + // (K', r) = G(m ‖ H(pk)) + var kr [64]byte + g := sha3.New512() + g.Write(m[:]) + g.Write(pk.hpk[:]) + g.Sum(kr[:0]) + + // c = Kyber.CPAPKE.Enc(pk, m, r) + pk.pk.EncryptTo(ct, kr[32:], m[:]) + + // Compute H(c) and put in second slot of kr, which will be (K', H(c)). + h.Reset() + h.Write(ct[:CiphertextSize]) + h.Sum(kr[32:32]) + + // K = KDF(K' ‖ H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// DecapsulateTo computes the shared key which is encapsulated in ct +// for the private key. +// +// Panics if ct or ss are not of length CiphertextSize and SharedKeySize +// respectively. +func (sk *PrivateKey) DecapsulateTo(ss, ct []byte) { + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m' = Kyber.CPAPKE.Dec(sk, ct) + var m2 [32]byte + sk.sk.DecryptTo(m2[:], ct) + + // (K'', r') = G(m' ‖ H(pk)) + var kr2 [64]byte + g := sha3.New512() + g.Write(m2[:]) + g.Write(sk.hpk[:]) + g.Sum(kr2[:0]) + + // c' = Kyber.CPAPKE.Enc(pk, m', r') + var ct2 [CiphertextSize]byte + sk.pk.EncryptTo(ct2[:], kr2[32:], m2[:]) + + // Compute H(c) and put in second slot of kr2, which will be (K'', H(c)). + h := sha3.New256() + h.Write(ct[:CiphertextSize]) + h.Sum(kr2[32:32]) + + // Replace K'' by z in the first slot of kr2 if c ≠ c'. + subtle.ConstantTimeCopy( + 1-subtle.ConstantTimeCompare(ct, ct2[:]), + kr2[:32], + sk.z[:], + ) + + // K = KDF(K''/z, H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr2[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// Packs sk to buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk.Pack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk.Pack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(buf, sk.hpk[:]) + buf = buf[32:] + copy(buf, sk.z[:]) +} + +// Unpacks sk from buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk = new(cpapke.PrivateKey) + sk.sk.Unpack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk = new(cpapke.PublicKey) + sk.pk.Unpack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(sk.hpk[:], buf[:32]) + copy(sk.z[:], buf[32:]) +} + +// Packs pk to buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk.Pack(buf) +} + +// Unpacks pk from buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk = new(cpapke.PublicKey) + pk.pk.Unpack(buf) + + // Compute cached H(pk) + h := sha3.New256() + h.Write(buf) + h.Sum(pk.hpk[:0]) +} + +// Boilerplate down below for the KEM scheme API. + +type scheme struct{} + +var Scheme kem.Scheme = &scheme{} + +func (*scheme) Name() string { return "Kyber512" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return KeySeedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } +func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + sk.Pack(ret[:]) + return ret[:], nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + if sk.pk == nil && oth.pk == nil { + return true + } + if sk.pk == nil || oth.pk == nil { + return false + } + if !bytes.Equal(sk.hpk[:], oth.hpk[:]) || + !bytes.Equal(sk.z[:], oth.z[:]) { + return false + } + return sk.sk.Equal(oth.sk) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + if pk.pk == nil && oth.pk == nil { + return true + } + if pk.pk == nil || oth.pk == nil { + return false + } + return bytes.Equal(pk.hpk[:], oth.hpk[:]) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + pk.Pack(ret[:]) + return ret[:], nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != KeySeedSize { + panic(kem.ErrSeedSize) + } + return NewKeyFromSeed(seed[:]) +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, nil) + return +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( + ct []byte, ss []byte) { + if len(seed) != EncapsulationSeedSize { + panic(kem.ErrSeedSize) + } + + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, seed) + return +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { + if len(ct) != CiphertextSize { + panic(kem.ErrCiphertextSize) + } + + priv, ok := sk.(*PrivateKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + ss := make([]byte, SharedKeySize) + priv.DecapsulateTo(ss, ct) + return ss +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + var ret PublicKey + ret.Unpack(buf) + return &ret, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + var ret PrivateKey + ret.Unpack(buf) + return &ret, nil +} diff --git a/src/circl/kem/kyber/kyber768/kyber.go b/src/circl/kem/kyber/kyber768/kyber.go new file mode 100644 index 00000000000..556683c7ccf --- /dev/null +++ b/src/circl/kem/kyber/kyber768/kyber.go @@ -0,0 +1,393 @@ +// Code generated from pkg.templ.go. DO NOT EDIT. + +// kyber768 implements the IND-CCA2 secure key encapsulation mechanism +// Kyber768.CCAKEM as submitted to round2 of the NIST PQC competition and +// described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package kyber768 + +import ( + "circl/kem" + cpapke "circl/pke/kyber/kyber768" + + "golang.org/x/crypto/sha3" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = cpapke.KeySeedSize + 32 + + // Size of seed for EncapsulateTo. + EncapsulationSeedSize = 32 + + // Size of the established shared key. + SharedKeySize = 32 + + // Size of the encapsulated shared key. + CiphertextSize = cpapke.CiphertextSize + + // Size of a packed public key. + PublicKeySize = cpapke.PublicKeySize + + // Size of a packed private key. + PrivateKeySize = cpapke.PrivateKeySize + cpapke.PublicKeySize + 64 +) + +// Type of a Kyber768.CCAKEM public key +type PublicKey struct { + pk *cpapke.PublicKey + + hpk [32]byte // H(pk) +} + +// Type of a Kyber768.CCAKEM private key +type PrivateKey struct { + sk *cpapke.PrivateKey + pk *cpapke.PublicKey + hpk [32]byte // H(pk) + z [32]byte +} + +// NewKeyFromSeed derives a public/private keypair deterministically +// from the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + var sk PrivateKey + var pk PublicKey + + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + + pk.pk, sk.sk = cpapke.NewKeyFromSeed(seed[:cpapke.KeySeedSize]) + sk.pk = pk.pk + copy(sk.z[:], seed[cpapke.KeySeedSize:]) + + // Compute H(pk) + var ppk [cpapke.PublicKeySize]byte + sk.pk.Pack(ppk[:]) + h := sha3.New256() // XXX use internal sha3 + h.Write(ppk[:]) + h.Sum(sk.hpk[:0]) + copy(pk.hpk[:], sk.hpk[:]) + + return &pk, &sk +} + +// GenerateKey generates a public/private keypair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(seed[:]) + return pk, sk, nil +} + +// EncapsulateTo generates a shared key and ciphertext that contains it +// for the public key using randomness from seed and writes the shared key +// to ss and ciphertext to ct. +// +// Panics if ss, ct or seed are not of length SharedKeySize, CiphertextSize +// and EncapsulationSeedSize respectively. +// +// seed may be nil, in which case crypto/rand.Reader is used to generate one. +func (pk *PublicKey) EncapsulateTo(ct, ss []byte, seed []byte) { + if seed == nil { + seed := make([]byte, EncapsulationSeedSize) + cryptoRand.Read(seed[:]) + } else { + if len(seed) != EncapsulationSeedSize { + panic("seed must be of length EncapsulationSeedSize") + } + } + + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m = H(seed) + var m [32]byte + h := sha3.New256() + h.Write(seed[:]) + h.Sum(m[:0]) + + // (K', r) = G(m ‖ H(pk)) + var kr [64]byte + g := sha3.New512() + g.Write(m[:]) + g.Write(pk.hpk[:]) + g.Sum(kr[:0]) + + // c = Kyber.CPAPKE.Enc(pk, m, r) + pk.pk.EncryptTo(ct, kr[32:], m[:]) + + // Compute H(c) and put in second slot of kr, which will be (K', H(c)). + h.Reset() + h.Write(ct[:CiphertextSize]) + h.Sum(kr[32:32]) + + // K = KDF(K' ‖ H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// DecapsulateTo computes the shared key which is encapsulated in ct +// for the private key. +// +// Panics if ct or ss are not of length CiphertextSize and SharedKeySize +// respectively. +func (sk *PrivateKey) DecapsulateTo(ss, ct []byte) { + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m' = Kyber.CPAPKE.Dec(sk, ct) + var m2 [32]byte + sk.sk.DecryptTo(m2[:], ct) + + // (K'', r') = G(m' ‖ H(pk)) + var kr2 [64]byte + g := sha3.New512() + g.Write(m2[:]) + g.Write(sk.hpk[:]) + g.Sum(kr2[:0]) + + // c' = Kyber.CPAPKE.Enc(pk, m', r') + var ct2 [CiphertextSize]byte + sk.pk.EncryptTo(ct2[:], kr2[32:], m2[:]) + + // Compute H(c) and put in second slot of kr2, which will be (K'', H(c)). + h := sha3.New256() + h.Write(ct[:CiphertextSize]) + h.Sum(kr2[32:32]) + + // Replace K'' by z in the first slot of kr2 if c ≠ c'. + subtle.ConstantTimeCopy( + 1-subtle.ConstantTimeCompare(ct, ct2[:]), + kr2[:32], + sk.z[:], + ) + + // K = KDF(K''/z, H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr2[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// Packs sk to buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk.Pack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk.Pack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(buf, sk.hpk[:]) + buf = buf[32:] + copy(buf, sk.z[:]) +} + +// Unpacks sk from buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk = new(cpapke.PrivateKey) + sk.sk.Unpack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk = new(cpapke.PublicKey) + sk.pk.Unpack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(sk.hpk[:], buf[:32]) + copy(sk.z[:], buf[32:]) +} + +// Packs pk to buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk.Pack(buf) +} + +// Unpacks pk from buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk = new(cpapke.PublicKey) + pk.pk.Unpack(buf) + + // Compute cached H(pk) + h := sha3.New256() + h.Write(buf) + h.Sum(pk.hpk[:0]) +} + +// Boilerplate down below for the KEM scheme API. + +type scheme struct{} + +var Scheme kem.Scheme = &scheme{} + +func (*scheme) Name() string { return "Kyber768" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return KeySeedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } +func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + sk.Pack(ret[:]) + return ret[:], nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + if sk.pk == nil && oth.pk == nil { + return true + } + if sk.pk == nil || oth.pk == nil { + return false + } + if !bytes.Equal(sk.hpk[:], oth.hpk[:]) || + !bytes.Equal(sk.z[:], oth.z[:]) { + return false + } + return sk.sk.Equal(oth.sk) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + if pk.pk == nil && oth.pk == nil { + return true + } + if pk.pk == nil || oth.pk == nil { + return false + } + return bytes.Equal(pk.hpk[:], oth.hpk[:]) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + pk.Pack(ret[:]) + return ret[:], nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != KeySeedSize { + panic(kem.ErrSeedSize) + } + return NewKeyFromSeed(seed[:]) +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, nil) + return +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( + ct []byte, ss []byte) { + if len(seed) != EncapsulationSeedSize { + panic(kem.ErrSeedSize) + } + + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, seed) + return +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { + if len(ct) != CiphertextSize { + panic(kem.ErrCiphertextSize) + } + + priv, ok := sk.(*PrivateKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + ss := make([]byte, SharedKeySize) + priv.DecapsulateTo(ss, ct) + return ss +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + var ret PublicKey + ret.Unpack(buf) + return &ret, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + var ret PrivateKey + ret.Unpack(buf) + return &ret, nil +} diff --git a/src/circl/kem/kyber/templates/pkg.templ.go b/src/circl/kem/kyber/templates/pkg.templ.go new file mode 100644 index 00000000000..f195808d5ab --- /dev/null +++ b/src/circl/kem/kyber/templates/pkg.templ.go @@ -0,0 +1,397 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from pkg.templ.go. DO NOT EDIT. + +// {{.Pkg}} implements the IND-CCA2 secure key encapsulation mechanism +// {{.Name}}.CCAKEM as submitted to round2 of the NIST PQC competition and +// described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package {{.Pkg}} + +import ( + "circl/kem" + cpapke "circl/pke/kyber/{{.Pkg}}" + + "golang.org/x/crypto/sha3" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = cpapke.KeySeedSize + 32 + + // Size of seed for EncapsulateTo. + EncapsulationSeedSize = 32 + + // Size of the established shared key. + SharedKeySize = 32 + + // Size of the encapsulated shared key. + CiphertextSize = cpapke.CiphertextSize + + // Size of a packed public key. + PublicKeySize = cpapke.PublicKeySize + + // Size of a packed private key. + PrivateKeySize = cpapke.PrivateKeySize + cpapke.PublicKeySize + 64 +) + +// Type of a {{.Name}}.CCAKEM public key +type PublicKey struct { + pk *cpapke.PublicKey + + hpk [32]byte // H(pk) +} + +// Type of a {{.Name}}.CCAKEM private key +type PrivateKey struct { + sk *cpapke.PrivateKey + pk *cpapke.PublicKey + hpk [32]byte // H(pk) + z [32]byte +} + +// NewKeyFromSeed derives a public/private keypair deterministically +// from the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + var sk PrivateKey + var pk PublicKey + + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + + pk.pk, sk.sk = cpapke.NewKeyFromSeed(seed[:cpapke.KeySeedSize]) + sk.pk = pk.pk + copy(sk.z[:], seed[cpapke.KeySeedSize:]) + + // Compute H(pk) + var ppk [cpapke.PublicKeySize]byte + sk.pk.Pack(ppk[:]) + h := sha3.New256() // XXX use internal sha3 + h.Write(ppk[:]) + h.Sum(sk.hpk[:0]) + copy(pk.hpk[:], sk.hpk[:]) + + return &pk, &sk +} + +// GenerateKey generates a public/private keypair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := NewKeyFromSeed(seed[:]) + return pk, sk, nil +} + +// EncapsulateTo generates a shared key and ciphertext that contains it +// for the public key using randomness from seed and writes the shared key +// to ss and ciphertext to ct. +// +// Panics if ss, ct or seed are not of length SharedKeySize, CiphertextSize +// and EncapsulationSeedSize respectively. +// +// seed may be nil, in which case crypto/rand.Reader is used to generate one. +func (pk *PublicKey) EncapsulateTo(ct, ss []byte, seed []byte) { + if seed == nil { + seed := make([]byte, EncapsulationSeedSize) + cryptoRand.Read(seed[:]) + } else { + if len(seed) != EncapsulationSeedSize { + panic("seed must be of length EncapsulationSeedSize") + } + } + + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m = H(seed) + var m [32]byte + h := sha3.New256() + h.Write(seed[:]) + h.Sum(m[:0]) + + // (K', r) = G(m ‖ H(pk)) + var kr [64]byte + g := sha3.New512() + g.Write(m[:]) + g.Write(pk.hpk[:]) + g.Sum(kr[:0]) + + // c = Kyber.CPAPKE.Enc(pk, m, r) + pk.pk.EncryptTo(ct, kr[32:], m[:]) + + // Compute H(c) and put in second slot of kr, which will be (K', H(c)). + h.Reset() + h.Write(ct[:CiphertextSize]) + h.Sum(kr[32:32]) + + // K = KDF(K' ‖ H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// DecapsulateTo computes the shared key which is encapsulated in ct +// for the private key. +// +// Panics if ct or ss are not of length CiphertextSize and SharedKeySize +// respectively. +func (sk *PrivateKey) DecapsulateTo(ss, ct []byte) { + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + + if len(ss) != SharedKeySize { + panic("ss must be of length SharedKeySize") + } + + // m' = Kyber.CPAPKE.Dec(sk, ct) + var m2 [32]byte + sk.sk.DecryptTo(m2[:], ct) + + // (K'', r') = G(m' ‖ H(pk)) + var kr2 [64]byte + g := sha3.New512() + g.Write(m2[:]) + g.Write(sk.hpk[:]) + g.Sum(kr2[:0]) + + // c' = Kyber.CPAPKE.Enc(pk, m', r') + var ct2 [CiphertextSize]byte + sk.pk.EncryptTo(ct2[:], kr2[32:], m2[:]) + + // Compute H(c) and put in second slot of kr2, which will be (K'', H(c)). + h := sha3.New256() + h.Write(ct[:CiphertextSize]) + h.Sum(kr2[32:32]) + + // Replace K'' by z in the first slot of kr2 if c ≠ c'. + subtle.ConstantTimeCopy( + 1-subtle.ConstantTimeCompare(ct, ct2[:]), + kr2[:32], + sk.z[:], + ) + + // K = KDF(K''/z, H(c)) + kdf := sha3.NewShake256() + kdf.Write(kr2[:]) + kdf.Read(ss[:SharedKeySize]) +} + +// Packs sk to buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk.Pack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk.Pack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(buf, sk.hpk[:]) + buf = buf[32:] + copy(buf, sk.z[:]) +} + +// Unpacks sk from buf. +// +// Panics if buf is not of size PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of length PrivateKeySize") + } + + sk.sk = new(cpapke.PrivateKey) + sk.sk.Unpack(buf[:cpapke.PrivateKeySize]) + buf = buf[cpapke.PrivateKeySize:] + sk.pk = new(cpapke.PublicKey) + sk.pk.Unpack(buf[:cpapke.PublicKeySize]) + buf = buf[cpapke.PublicKeySize:] + copy(sk.hpk[:], buf[:32]) + copy(sk.z[:], buf[32:]) +} + +// Packs pk to buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk.Pack(buf) +} + +// Unpacks pk from buf. +// +// Panics if buf is not of size PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of length PublicKeySize") + } + + pk.pk = new(cpapke.PublicKey) + pk.pk.Unpack(buf) + + // Compute cached H(pk) + h := sha3.New256() + h.Write(buf) + h.Sum(pk.hpk[:0]) +} + +// Boilerplate down below for the KEM scheme API. + +type scheme struct{} + +var Scheme kem.Scheme = &scheme{} + +func (*scheme) Name() string { return "{{ .Name }}" } +func (*scheme) PublicKeySize() int { return PublicKeySize } +func (*scheme) PrivateKeySize() int { return PrivateKeySize } +func (*scheme) SeedSize() int { return KeySeedSize } +func (*scheme) SharedKeySize() int { return SharedKeySize } +func (*scheme) CiphertextSize() int { return CiphertextSize } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } +func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + var ret [PrivateKeySize]byte + sk.Pack(ret[:]) + return ret[:], nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + if sk.pk == nil && oth.pk == nil { + return true + } + if sk.pk == nil || oth.pk == nil { + return false + } + if !bytes.Equal(sk.hpk[:], oth.hpk[:]) || + !bytes.Equal(sk.z[:], oth.z[:]) { + return false + } + return sk.sk.Equal(oth.sk) +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + if pk.pk == nil && oth.pk == nil { + return true + } + if pk.pk == nil || oth.pk == nil { + return false + } + return bytes.Equal(pk.hpk[:], oth.hpk[:]) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + var ret [PublicKeySize]byte + pk.Pack(ret[:]) + return ret[:], nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != KeySeedSize { + panic(kem.ErrSeedSize) + } + return NewKeyFromSeed(seed[:]) +} + +func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, nil) + return +} + +func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( + ct []byte, ss []byte) { + if len(seed) != EncapsulationSeedSize { + panic(kem.ErrSeedSize) + } + + ct = make([]byte, CiphertextSize) + ss = make([]byte, SharedKeySize) + + pub, ok := pk.(*PublicKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + pub.EncapsulateTo(ct, ss, seed) + return +} + +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { + if len(ct) != CiphertextSize { + panic(kem.ErrCiphertextSize) + } + + priv, ok := sk.(*PrivateKey) + if !ok { + panic(kem.ErrTypeMismatch) + } + ss := make([]byte, SharedKeySize) + priv.DecapsulateTo(ss, ct) + return ss +} + +func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != PublicKeySize { + return nil, kem.ErrPubKeySize + } + var ret PublicKey + ret.Unpack(buf) + return &ret, nil +} + +func (*scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != PrivateKeySize { + return nil, kem.ErrPrivKeySize + } + var ret PrivateKey + ret.Unpack(buf) + return &ret, nil +} diff --git a/src/circl/kem/schemes/schemes.go b/src/circl/kem/schemes/schemes.go new file mode 100644 index 00000000000..144c0111b9b --- /dev/null +++ b/src/circl/kem/schemes/schemes.go @@ -0,0 +1,37 @@ +// Package schemes contains a register of KEM schemes. +package schemes + +import ( + "strings" + + "circl/kem" + "circl/kem/kyber/kyber1024" + "circl/kem/kyber/kyber512" + "circl/kem/kyber/kyber768" +) + +var allSchemes = [...]kem.Scheme{ + kyber512.Scheme, + kyber768.Scheme, + kyber1024.Scheme, +} + +var allSchemeNames map[string]kem.Scheme + +func init() { + allSchemeNames = make(map[string]kem.Scheme) + for _, scheme := range allSchemes { + allSchemeNames[strings.ToLower(scheme.Name())] = scheme + } +} + +// ByName returns the scheme with the given name and nil if it is not +// supported. +// +// Names are case insensitive. +func ByName(name string) kem.Scheme { + return allSchemeNames[strings.ToLower(name)] +} + +// All returns all KEM schemes supported. +func All() []kem.Scheme { a := allSchemes; return a[:] } diff --git a/src/circl/kem/schemes/schemes_test.go b/src/circl/kem/schemes/schemes_test.go new file mode 100644 index 00000000000..233ccf8de7e --- /dev/null +++ b/src/circl/kem/schemes/schemes_test.go @@ -0,0 +1,81 @@ +package schemes_test + +import ( + "bytes" + "testing" + + "circl/kem/schemes" +) + +func TestCaseSensitivity(t *testing.T) { + if schemes.ByName("kyber512") != schemes.ByName("Kyber512") { + t.Fatal() + } +} + +func TestApi(t *testing.T) { + allSchemes := schemes.All() + for _, scheme := range allSchemes { + scheme := scheme + t.Run(scheme.Name(), func(t *testing.T) { + if scheme == nil { + t.Fatal() + } + + pk, sk, err := scheme.GenerateKey() + if err != nil { + t.Fatal() + } + + packedPk, err := pk.MarshalBinary() + if err != nil { + t.Fatal() + } + + if len(packedPk) != scheme.PublicKeySize() { + t.Fatal() + } + + packedSk, err := sk.MarshalBinary() + if err != nil { + t.Fatal() + } + + if len(packedSk) != scheme.PrivateKeySize() { + t.Fatal() + } + + pk2, err := scheme.UnmarshalBinaryPublicKey(packedPk) + if err != nil { + t.Fatal() + } + + sk2, err := scheme.UnmarshalBinaryPrivateKey(packedSk) + if err != nil { + t.Fatal() + } + + if !sk.Equal(sk2) { + t.Fatal() + } + + if !pk.Equal(pk2) { + t.Fatal() + } + + ct, ss := scheme.Encapsulate(pk2) + + if len(ct) != scheme.CiphertextSize() { + t.Fatal() + } + if len(ss) != scheme.SharedKeySize() { + t.Fatal() + } + + ss2 := scheme.Decapsulate(sk2, ct) + if !bytes.Equal(ss, ss2) { + t.Fatal() + } + }) + } +} diff --git a/src/circl/pke/doc.go b/src/circl/pke/doc.go new file mode 100644 index 00000000000..e79425c875c --- /dev/null +++ b/src/circl/pke/doc.go @@ -0,0 +1,2 @@ +// Package pke provides a variety of public key encryption mechanisms. +package pke diff --git a/src/circl/pke/kyber/gen.go b/src/circl/pke/kyber/gen.go new file mode 100644 index 00000000000..7c67c97222e --- /dev/null +++ b/src/circl/pke/kyber/gen.go @@ -0,0 +1,197 @@ +// +build ignore + +// Autogenerates wrappers from templates to prevent too much duplicated code +// between the code for different modes. +package main + +import ( + "bytes" + "fmt" + "io/ioutil" + "os" + "path" + "strings" + "text/template" +) + +type Instance struct { + Name string + K int + CiphertextSize int + DU int + DV int +} + +func (m Instance) Pkg() string { + return strings.ToLower(m.Name) +} +func (m Instance) Impl() string { + return "impl" + m.Name +} + +var ( + Instances = []Instance{ + { + Name: "Kyber512", + K: 2, + CiphertextSize: 736, + DU: 10, + DV: 3, + }, + { + Name: "Kyber768", + K: 3, + CiphertextSize: 1088, + DU: 10, + DV: 4, + }, + { + Name: "Kyber1024", + K: 4, + CiphertextSize: 1568, + DU: 11, + DV: 5, + }, + } + TemplateWarning = "// Code generated from" +) + +func main() { + generatePackageFiles() + generateParamsFiles() + generateSourceFiles() +} + +// Generates instance/internal/params.go from templates/params.templ.go +func generateParamsFiles() { + tl, err := template.ParseFiles("templates/params.templ.go") + if err != nil { + panic(err) + } + + for _, mode := range Instances { + buf := new(bytes.Buffer) + err := tl.Execute(buf, mode) + if err != nil { + panic(err) + } + + res := string(buf.Bytes()) + offset := strings.Index(res, TemplateWarning) + if offset == -1 { + panic("Missing template warning in params.templ.go") + } + err = ioutil.WriteFile(mode.Pkg()+"/internal/params.go", + []byte(res[offset:]), 0644) + if err != nil { + panic(err) + } + } +} + +// Generates instance/kyber.go from templates/pkg.templ.go +func generatePackageFiles() { + tl, err := template.ParseFiles("templates/pkg.templ.go") + if err != nil { + panic(err) + } + + for _, mode := range Instances { + buf := new(bytes.Buffer) + err := tl.Execute(buf, mode) + if err != nil { + panic(err) + } + + res := string(buf.Bytes()) + offset := strings.Index(res, TemplateWarning) + if offset == -1 { + panic("Missing template warning in pkg.templ.go") + } + err = ioutil.WriteFile(mode.Pkg()+"/kyber.go", []byte(res[offset:]), 0644) + if err != nil { + panic(err) + } + } +} + +// Copies kyber512 source files to other modes +func generateSourceFiles() { + files := make(map[string][]byte) + + // Ignore mode specific files. + ignored := func(x string) bool { + return x == "params.go" || x == "params_test.go" + } + + fs, err := ioutil.ReadDir("kyber512/internal") + if err != nil { + panic(err) + } + + // Read files + for _, f := range fs { + name := f.Name() + if ignored(name) { + continue + } + files[name], err = ioutil.ReadFile(path.Join("kyber512/internal", name)) + if err != nil { + panic(err) + } + } + + // Go over modes + for _, mode := range Instances { + if mode.Name == "Kyber512" { + continue + } + + fs, err = ioutil.ReadDir(path.Join(mode.Pkg(), "internal")) + for _, f := range fs { + name := f.Name() + fn := path.Join(mode.Pkg(), "internal", name) + if ignored(name) { + continue + } + _, ok := files[name] + if !ok { + fmt.Printf("Removing superfluous file: %s", fn) + err = os.Remove(fn) + if err != nil { + panic(err) + } + } + if f.Mode().IsDir() { + panic(fmt.Sprintf("%s: is a directory", fn)) + } + if f.Mode()&os.ModeSymlink != 0 { + fmt.Printf("Removing symlink: %s\n", fn) + err = os.Remove(fn) + if err != nil { + panic(err) + } + } + } + for name, expected := range files { + fn := path.Join(mode.Pkg(), "internal", name) + expected = []byte(fmt.Sprintf( + "%s kyber512/internal/%s by gen.go\n\n%s", + TemplateWarning, + name, + string(expected), + )) + got, err := ioutil.ReadFile(fn) + if err == nil { + if bytes.Equal(got, expected) { + continue + } + } + fmt.Printf("Updating %s\n", fn) + err = ioutil.WriteFile(fn, expected, 0644) + if err != nil { + panic(err) + } + } + } +} diff --git a/src/circl/pke/kyber/internal/common/field.go b/src/circl/pke/kyber/internal/common/field.go new file mode 100644 index 00000000000..1fa23cb8369 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/field.go @@ -0,0 +1,74 @@ +package common + +// Given 2¹⁵ q ≤ x < 2¹⁵ q, returns -q < y < q with x 2⁻¹⁶ = y (mod q). +func montReduce(x int32) int16 { + // This is Montgomery reduction with R=2¹⁶. + // + // Note gcd(2¹⁶, q) = 1 as q is prime. Write q' := 62209 = q⁻¹ mod R. + // First we compute + // + // m := ((x mod R) q') mod R + // = x q' mod R + // = int16(x q') + // = int16(int32(x) * int32(q')) + // + // Note that x q' might be as big as 2³² and could overflow the int32 + // multiplication in the last line. However for any int32s a and b, + // we have int32(int64(a)*int64(b)) = int32(a*b) and so the result is ok. + m := int16(x * 62209) + + // Note that x - m q is divisable by R; indeed modulo R we have + // + // x - m q ≡ x - x q' q ≡ x - x q⁻¹ q ≡ x - x = 0. + // + // We return y := (x - m q) / R. Note that y is indeed correct as + // modulo q we have + // + // y ≡ x R⁻¹ - m q R⁻¹ = x R⁻¹ + // + // and as both 2¹⁵ q ≤ m q, x < 2¹⁵ q, we have + // 2¹⁶ q ≤ x - m q < 2¹⁶ and so q ≤ (x - m q) / R < q as desired. + return int16(uint32(x-int32(m)*int32(Q)) >> 16) +} + +// Given any x, returns x R mod q where R=2^{16}. +func toMont(x int16) int16 { + // Note |1353 x| ≤ 1353 2^{15} ≤ 13318 q ≤ 2^15 q and so we're within + // the bounds of montReduce. + return montReduce(int32(x) * 1353) // 1353 = R^{2} mod q. +} + +// Given any x, compute 0 ≤ y ≤ q with x = y (mod q). +// +// Beware: we might have barrettReduce(x) = q ≠ 0 for some x. In fact, +// this happens if and only if x = -nq for some positive integer n. +func barrettReduce(x int16) int16 { + // This is standard Barrett reduction. + // + // For any x we have x mod q = x - ⌊x/q⌋ q. We will use 20159/2²⁶ as + // an approximation of 1/q. Note that 0 ≤ 20159/2²⁶ - 1/q ≤ 0.135/2²⁶ + // and so | x 20156/2²⁶ - x/q | ≤ 2⁻¹⁰ for |x| ≤ 2¹⁶. For all x + // not a multiple of q, the number x/q is further than 1/q from any integer + // and so ⌊x 20156/2²⁶⌋ = ⌊x/q⌋. If x is a multiple of q and x is positive, + // then x 20156/2²⁶ is larger than x/q so ⌊x 20156/2²⁶⌋ = ⌊x/q⌋ as well. + // Finally, if x is negative multiple of q, then ⌊x 20156/2²⁶⌋ = ⌊x/q⌋-1. + // Thus + // [ q if x=-nq for pos. integer n + // x - ⌊x 20156/2²⁶⌋ q = [ + // [ x mod q otherwise + // + // To compute actually compute this, note that + // + // ⌊x 20156/2²⁶⌋ = (20159 x) >> 26. + return x - int16((int32(x)*20159)>>26)*Q +} + +// Returns x if x < q and x - q otherwise. Assumes x ≥ -29439. +func csubq(x int16) int16 { + x -= Q // no overflow due to assumption x ≥ -29439. + // If x is positive, then x >> 15 = 0. If x is negative, + // then uint16(x >> 15) = 2¹⁶-1. So this will add back in q + // if x was smaller than q. + x += (x >> 15) & Q + return x +} diff --git a/src/circl/pke/kyber/internal/common/field_test.go b/src/circl/pke/kyber/internal/common/field_test.go new file mode 100644 index 00000000000..0a1de0e9b79 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/field_test.go @@ -0,0 +1,86 @@ +package common + +import ( + "flag" + "math/rand" + "testing" +) + +var runVeryLongTest = flag.Bool("very-long", false, "runs very long tests") + +func modQ32(x int32) int16 { + y := int16(x % int32(Q)) + if y < 0 { + y += Q + } + return y +} + +func TestBarrettReduceFull(t *testing.T) { + if !*runVeryLongTest { + t.SkipNow() + } + for x := -1 << 15; x <= 1<<15; x++ { + y1 := barrettReduce(int16(x)) + y2 := int16(x) % Q + if y2 < 0 { + y2 += Q + } + if x < 0 && int16(-x)%Q == 0 { + y1 -= Q + } + if y1 != y2 { + t.Fatalf("%d %d %d", x, y1, y2) + } + } +} + +func TestMontReduce(t *testing.T) { + for i := 0; i < 1000; i++ { + x := rand.Int31n(int32(Q)*(1<<16)) - int32(Q)*(1<<15) // nolint:gosec + y := montReduce(x) + if modQ32(x) != modQ32(int32(y)*(1<<16)) { + t.Fatalf("%d", x) + } + } +} + +func TestToMontFull(t *testing.T) { + if !*runVeryLongTest { + t.SkipNow() + } + for x := -1 << 15; x < 1<<15; x++ { + y := toMont(int16(x)) + if modQ32(int32(y)) != modQ32(int32(x*2285)) { + t.Fatalf("%d", x) + } + } +} + +func TestMontReduceFull(t *testing.T) { + if !*runVeryLongTest { + t.SkipNow() + } + for x := -int32(Q) * (1 << 15); x <= int32(Q)*(1<<15); x++ { + y := montReduce(x) + if modQ32(x) != modQ32(int32(y)*(1<<16)) { + t.Fatalf("%d", x) + } + } +} + +func TestCSubQFull(t *testing.T) { + if !*runVeryLongTest { + t.SkipNow() + } + for x := -29439; x < 1<<15; x++ { + y1 := csubq(int16(x)) + y2 := x + if int16(x) >= Q { + y2 -= int(Q) + } + if y1 != int16(y2) { + t.Fatalf("%d", x) + } + } +} diff --git a/src/circl/pke/kyber/internal/common/ntt.go b/src/circl/pke/kyber/internal/common/ntt.go new file mode 100644 index 00000000000..88682ff587c --- /dev/null +++ b/src/circl/pke/kyber/internal/common/ntt.go @@ -0,0 +1,157 @@ +package common + +// Zetas lists precomputed powers of the primitive root of unity in +// Montgomery representation used for the NTT: +// +// Zetas[i] = ζᵇʳᵛ⁽ⁱ⁾ R mod q +// +// where ζ = 17, brv(i) is the bitreversal of a 7-bit number and R=2¹⁶ mod q. +// +// The following Python code generates the Zetas arrays: +// +// q = 13*2**8 + 1; zeta = 17 +// R = 2**16 % q # Montgomery const. +// def brv(x): return int(''.join(reversed(bin(x)[2:].zfill(7))),2) +// print([(pow(zeta, brv(i), q)*R)%q for i in range(128)]) +var Zetas = [128]int16{ + 2285, 2571, 2970, 1812, 1493, 1422, 287, 202, 3158, 622, 1577, 182, + 962, 2127, 1855, 1468, 573, 2004, 264, 383, 2500, 1458, 1727, 3199, + 2648, 1017, 732, 608, 1787, 411, 3124, 1758, 1223, 652, 2777, 1015, + 2036, 1491, 3047, 1785, 516, 3321, 3009, 2663, 1711, 2167, 126, + 1469, 2476, 3239, 3058, 830, 107, 1908, 3082, 2378, 2931, 961, 1821, + 2604, 448, 2264, 677, 2054, 2226, 430, 555, 843, 2078, 871, 1550, + 105, 422, 587, 177, 3094, 3038, 2869, 1574, 1653, 3083, 778, 1159, + 3182, 2552, 1483, 2727, 1119, 1739, 644, 2457, 349, 418, 329, 3173, + 3254, 817, 1097, 603, 610, 1322, 2044, 1864, 384, 2114, 3193, 1218, + 1994, 2455, 220, 2142, 1670, 2144, 1799, 2051, 794, 1819, 2475, + 2459, 478, 3221, 3021, 996, 991, 958, 1869, 1522, 1628, +} + +// Executes an in-place forward "NTT" on p. +// +// Assumes the coefficients are in absolute value ≤q. The resulting +// coefficients are in absolute value ≤7q. If the input is in Montgomery +// form, then the result is in Montgomery form and so (by linearity of the NTT) +// if the input is in regular form, then the result is also in regular form. +func (p *Poly) NTT() { + // Note that ℤ_q does not have a primitive 512ᵗʰ root of unity (as 512 + // does not divide into q) and so we cannot do a regular NTT. ℤ_q + // does have a primitive 256ᵗʰ root of unity, the smallest of which + // is ζ := 17. + // + // Recall that our base ring R := ℤ_q[x] / (x²⁵⁶ + 1). The polynomial + // x²⁵⁶+1 will not split completely (as its roots would be 512ᵗʰ roots + // of unity.) However, it does split almost (using ζ¹²⁸ = -1): + // + // x²⁵⁶ + 1 = (x²)¹²⁸ - ζ¹²⁸ + // = ((x²)⁶⁴ - ζ⁶⁴)((x²)⁶⁴ + ζ⁶⁴) + // = ((x²)³² - ζ³²)((x²)³² + ζ³²)((x²)³² - ζ⁹⁶)((x²)³² + ζ⁹⁶) + // ⋮ + // = (x² - ζ)(x² + ζ)(x² - ζ⁶⁵)(x² + ζ⁶⁵) … (x² + ζ¹²⁷) + // + // Note that the powers of ζ that appear (from th second line down) are + // in binary + // + // 010000 110000 + // 001000 101000 011000 111000 + // 000100 100100 010100 110100 001100 101100 011100 111100 + // … + // + // That is: brv(2), brv(3), brv(4), …, where brv(x) denotes the 7-bit + // bitreversal of x. These powers of ζ are given by the Zetas array. + // + // The polynomials x² ± ζⁱ are irreducible and coprime, hence by + // the Chinese Remainder Theorem we know + // + // ℤ_q[x]/(x²⁵⁶+1) → ℤ_q[x]/(x²-ζ) x … x ℤ_q[x]/(x²+ζ¹²⁷) + // + // given by a ↦ ( a mod x²-z, …, a mod x²+z¹²⁷ ) + // is an isomorphism, which is the "NTT". It can be efficiently computed by + // + // + // a ↦ ( a mod (x²)⁶⁴ - ζ⁶⁴, a mod (x²)⁶⁴ + ζ⁶⁴ ) + // ↦ ( a mod (x²)³² - ζ³², a mod (x²)³² + ζ³², + // a mod (x²)⁹⁶ - ζ⁹⁶, a mod (x²)⁹⁶ + ζ⁹⁶ ) + // + // et cetera + // + // If N was 8 then this can be pictured in the following diagram: + // + // https://cnx.org/resources/17ee4dfe517a6adda05377b25a00bf6e6c93c334/File0026.png + // + // Each cross is a Cooley-Tukey butterfly: it's the map + // + // (a, b) ↦ (a + ζ, a - ζ) + // + // for the appropriate power ζ for that column and row group. + + k := 0 // Index into Zetas + + // l runs effectively over the columns in the diagram above; it is half the + // height of a row group, i.e. the number of butterflies in each row group. + // In the diagram above it would be 4, 2, 1. + for l := N / 2; l > 1; l >>= 1 { + // On the nᵗʰ iteration of the l-loop, the absolute value of the + // coefficients are bounded by nq. + + // offset effectively loops over the row groups in this column; it is + // the first row in the row group. + for offset := 0; offset < N-l; offset += 2 * l { + k++ + zeta := int32(Zetas[k]) + + // j loops over each butterfly in the row group. + for j := offset; j < offset+l; j++ { + t := montReduce(zeta * int32(p[j+l])) + p[j+l] = p[j] - t + p[j] += t + } + } + } +} + +// Executes an in-place inverse "NTT" on p and multiply by the Montgomery +// factor R. +// +// Assumes the coefficients are in absolute value ≤q. The resulting +// coefficients are in absolute value ≤q. If the input is in Montgomery +// form, then the result is in Montgomery form and so (by linearity) +// if the input is in regular form, then the result is also in regular form. +func (p *Poly) InvNTT() { + k := 127 // Index into Zetas + + // We basically do the oppposite of NTT, but postpone dividing by 2 in the + // inverse of the Cooley-Tukey butterfly and accumulate that into a big + // division by 2⁷ at the end. See the comments in the NTT() function. + + for l := 2; l < N; l <<= 1 { + // At the start of the nᵗʰ iteration of this loop, the coefficients + // are bounded in absolute value by nq. + + // XXX Get rid of Barrett reduction? + + for offset := 0; offset < N-l; offset += 2 * l { + // As we're inverting, we need powers of ζ⁻¹ (instead of + // ζ). To be precise, we need ζᵇʳᵛ⁽ᵏ⁾⁻¹²⁸. However, as + // ζ⁻¹²⁸ = -1, we can use the existing Zetas table instead of + // keeping a separate InvZetas table as in Dilithium. + + zeta := -int32(Zetas[k]) + k-- + + for j := offset; j < offset+l; j++ { + t := barrettReduce(p[j]) // Gentleman-Sande butterfly + p[j] = t + p[j+l] + t -= p[j+l] + p[j+l] = montReduce(zeta * int32(t)) + } + } + } + + for j := 0; j < N; j++ { + // Note 1441 = (128)⁻¹ R². The coefficients are bounded by 7q, so + // as 1441 * 7 ≈ 2⁹ < 2¹⁵, we're within the required bounds + // for montReduce(). + p[j] = montReduce(1441 * int32(p[j])) + } +} diff --git a/src/circl/pke/kyber/internal/common/ntt_test.go b/src/circl/pke/kyber/internal/common/ntt_test.go new file mode 100644 index 00000000000..9af818a7369 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/ntt_test.go @@ -0,0 +1,60 @@ +package common + +import ( + "math/rand" + "testing" +) + +func BenchmarkNTT(b *testing.B) { + var a Poly + for i := 0; i < b.N; i++ { + a.NTT() + } +} + +func BenchmarkInvNTT(b *testing.B) { + var a Poly + for i := 0; i < b.N; i++ { + a.InvNTT() + } +} + +func (p *Poly) Rand() { + for i := 0; i < N; i++ { + p[i] = int16(rand.Intn(int(Q))) // nolint:gosec + } +} + +func (p *Poly) RandAbsLeQ() { + for i := 0; i < N; i++ { + p[i] = int16(rand.Intn(int(2*Q))) - Q // nolint:gosec + } +} + +func TestNTT(t *testing.T) { + for k := 0; k < 1000; k++ { + var p, q Poly + p.RandAbsLeQ() + q = p + q.Normalize() + p.NTT() + for i := 0; i < N; i++ { + if p[i] > 7*Q || 7*Q < p[i] { + t.Fatal() + } + } + p.Normalize() + p.InvNTT() + for i := 0; i < N; i++ { + if p[i] > Q || p[i] < -Q { + t.Fatal() + } + } + p.Normalize() + for i := 0; i < N; i++ { + if int32(p[i]) != (int32(q[i])*(1<<16))%int32(Q) { + t.Fatal() + } + } + } +} diff --git a/src/circl/pke/kyber/internal/common/params.go b/src/circl/pke/kyber/internal/common/params.go new file mode 100644 index 00000000000..536fe7ffc79 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/params.go @@ -0,0 +1,15 @@ +package common + +const ( + // Q is the parameter q ≡ 3329 = 2¹¹ + 2¹⁰ + 2⁸ + 1. + Q int16 = 3329 + + // N is the parameter N: the length of the polynomials + N int = 256 + + // PolySize is the size of a packed polynomial. + PolySize int = 384 + + // PlaintextSize is the size of the plaintext + PlaintextSize = 32 +) diff --git a/src/circl/pke/kyber/internal/common/poly.go b/src/circl/pke/kyber/internal/common/poly.go new file mode 100644 index 00000000000..1c2d5218002 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/poly.go @@ -0,0 +1,345 @@ +package common + +// An element of our base ring R which are polynomials over ℤ_q +// modulo the equation Xᴺ = -1, where q=3329 and N=256. +// +// Coefficients aren't always reduced. See Normalize(). +type Poly [N]int16 + +// Sets p to a + b. Does not normalize coefficients. +func (p *Poly) Add(a, b *Poly) { + for i := 0; i < N; i++ { + p[i] = a[i] + b[i] + } +} + +// Sets p to a - b. Does not normalize coefficients. +func (p *Poly) Sub(a, b *Poly) { + for i := 0; i < N; i++ { + p[i] = a[i] - b[i] + } +} + +// Almost normalizes coefficients. +// +// Ensures each coefficient is in {0, …, q}. +func (p *Poly) BarrettReduce() { + for i := 0; i < N; i++ { + p[i] = barrettReduce(p[i]) + } +} + +// Normalizes coefficients. +// +// Ensures each coefficient is in {0, …, q-1}. +func (p *Poly) Normalize() { + for i := 0; i < N; i++ { + p[i] = csubq(barrettReduce(p[i])) + } +} + +// Multiplies p in-place by the Montgomery factor 2¹⁶. +// +// Coefficients of p can be artbitray. Resulting coefficients are bounded +// in absolute value by q. +func (p *Poly) ToMont() { + for i := 0; i < N; i++ { + p[i] = toMont(p[i]) + } +} + +// Sets p to the "pointwise" multiplication of a and b. +// +// That is: InvNTT(p) = InvNTT(a) * InvNTT(b). Assumes a and b are in +// Montgomery form. Products between coefficients of a and b must be strictly +// bounded in absolute value by 2¹⁵q. p will be in Montgomery form and +// bounded in absolute value by q. +func (p *Poly) MulHat(a, b *Poly) { + // Recall from the discussion in NTT(), that a transformed polynomial is + // an element of ℤ_q[x]/(x²-ζ) x … x ℤ_q[x]/(x²+ζ¹²⁷); + // that is: 128 degree-one polynomials instead of simply 256 elements + // from ℤ_q as in the regular NTT. So instead of pointwise multiplication, + // we multiply the 128 pairs of degree-one polynomials modulo the + // right equation: + // + // (a₁ + a_2x)(b₁ + b_2x) = a_1b_1 + a_2b_2ζ' + (a_1b_2 + a_2b_1)x, + // + // where ζ' is the appropriate power of ζ. + + k := 64 + for i := 0; i < N; i += 4 { + zeta := int32(Zetas[k]) + k++ + + p0 := montReduce(int32(a[i+1]) * int32(b[i+1])) + p0 = montReduce(int32(p0) * zeta) + p0 += montReduce(int32(a[i]) * int32(b[i])) + + p1 := montReduce(int32(a[i]) * int32(b[i+1])) + p1 += montReduce(int32(a[i+1]) * int32(b[i])) + + p[i] = p0 + p[i+1] = p1 + + p2 := montReduce(int32(a[i+3]) * int32(b[i+3])) + p2 = montReduce(-int32(p2) * zeta) + p2 += montReduce(int32(a[i+2]) * int32(b[i+2])) + + p3 := montReduce(int32(a[i+2]) * int32(b[i+3])) + p3 += montReduce(int32(a[i+3]) * int32(b[i+2])) + + p[i+2] = p2 + p[i+3] = p3 + } +} + +// Packs p into buf. buf should be of length PolySize. +// +// Assumes p is normalized (and not just Barrett reduced.) +func (p *Poly) Pack(buf []byte) { + for i := 0; i < 128; i++ { + t0 := p[2*i] + t1 := p[2*i+1] + buf[3*i] = byte(t0) + buf[3*i+1] = byte(t0>>8) | byte(t1<<4) + buf[3*i+2] = byte(t1 >> 4) + } +} + +// Unpacks p from buf. buf should be of length PolySize. +// +// p will not be normalized; instead 0 ≤ p[i] < 4096. +func (p *Poly) Unpack(buf []byte) { + for i := 0; i < 128; i++ { + p[2*i] = int16(buf[3*i]) | ((int16(buf[3*i+1]) << 8) & 0xfff) + p[2*i+1] = int16(buf[3*i+1]>>4) | (int16(buf[3*i+2]) << 4) + } +} + +// Set p to Decompress_q(m, 1). +// +// p will be normalized. m has to be of PlaintextSize. +func (p *Poly) DecompressMessage(m []byte) { + // Decompress_q(x, 1) = ⌈xq/2⌋ = ⌊xq/2+½⌋ = (xq+1) >> 1 and so + // Decompress_q(0, 1) = 0 and Decompress_q(1, 1) = (q+1)/2. + for i := 0; i < 32; i++ { + for j := 0; j < 8; j++ { + bit := (m[i] >> uint(j)) & 1 + + // Set coefficient to either 0 or (q+1)/2 depending on the bit. + p[8*i+j] = -int16(bit) & ((Q + 1) / 2) + } + } +} + +// Writes Compress_q(p, 1) to m. +// +// Assumes p is normalized. m has to be of length at least PlaintextSize. +func (p *Poly) CompressMessageTo(m []byte) { + // Compress_q(x, 1) is 1 on {833, …, 2496} and zero elsewhere. + for i := 0; i < 32; i++ { + m[i] = 0 + for j := 0; j < 8; j++ { + x := 1664 - p[8*i+j] + // With the previous substitution, we want to return 1 if + // and only if x is in {831, …, -832}. + x = (x >> 15) ^ x + // Note (x >> 15)ˣ if x≥0 and -x-1 otherwise. Thus now we want + // to return 1 iff x ≤ 831, ie. x - 832 < 0. + x -= 832 + m[i] |= ((byte(x >> 15)) & 1) << uint(j) + } + } +} + +// Set p to Decompress_q(m, 1). +// +// Assumes d is in {3, 4, 5, 10, 11}. p will be normalized. +func (p *Poly) Decompress(m []byte, d int) { + // Decompress_q(x, d) = ⌈(q/2ᵈ)x⌋ + // = ⌊(q/2ᵈ)x+½⌋ + // = ⌊(qx + 2ᵈ⁻¹)/2ᵈ⌋ + // = (qx + (1<<(d-1))) >> d + switch d { + case 3: + var t [8]uint16 + idx := 0 + for i := 0; i < N/8; i++ { + t[0] = uint16(m[idx]) + t[1] = uint16(m[idx]) >> 3 + t[2] = (uint16(m[idx]) >> 6) | (uint16(m[idx+1]) << 2) + t[3] = (uint16(m[idx+1]) >> 1) + t[4] = (uint16(m[idx+1]) >> 4) + t[5] = (uint16(m[idx+1]) >> 7) | (uint16(m[idx+2] << 1)) + t[6] = uint16(m[idx+2]) >> 2 + t[7] = uint16(m[idx+2]) >> 5 + + for j := 0; j < 8; j++ { + p[8*i+j] = int16(((1 << 2) + + uint32(t[j]&((1<<3)-1))*uint32(Q)) >> 3) + } + + idx += 3 + } + case 4: + for i := 0; i < N/2; i++ { + p[2*i] = int16(((1 << 3) + + uint32(m[i]&15)*uint32(Q)) >> 4) + p[2*i+1] = int16(((1 << 3) + + uint32(m[i]>>4)*uint32(Q)) >> 4) + } + case 5: + var t [8]uint16 + idx := 0 + for i := 0; i < N/8; i++ { + t[0] = uint16(m[idx]) + t[1] = (uint16(m[idx]) >> 5) | (uint16(m[idx+1] << 3)) + t[2] = uint16(m[idx+1]) >> 2 + t[3] = (uint16(m[idx+1]) >> 7) | (uint16(m[idx+2] << 1)) + t[4] = (uint16(m[idx+2]) >> 4) | (uint16(m[idx+3] << 4)) + t[5] = uint16(m[idx+3]) >> 1 + t[6] = (uint16(m[idx+3]) >> 6) | (uint16(m[idx+4] << 2)) + t[7] = uint16(m[idx+4]) >> 3 + + for j := 0; j < 8; j++ { + p[8*i+j] = int16(((1 << 4) + + uint32(t[j]&((1<<5)-1))*uint32(Q)) >> 5) + } + + idx += 5 + } + + case 10: + var t [4]uint16 + idx := 0 + for i := 0; i < N/4; i++ { + t[0] = uint16(m[idx]) | (uint16(m[idx+1]) << 8) + t[1] = (uint16(m[idx+1]) >> 2) | (uint16(m[idx+2]) << 6) + t[2] = (uint16(m[idx+2]) >> 4) | (uint16(m[idx+3]) << 4) + t[3] = (uint16(m[idx+3]) >> 6) | (uint16(m[idx+4]) << 2) + + for j := 0; j < 4; j++ { + p[4*i+j] = int16(((1 << 9) + + uint32(t[j]&((1<<10)-1))*uint32(Q)) >> 10) + } + + idx += 5 + } + case 11: + var t [8]uint16 + idx := 0 + for i := 0; i < N/8; i++ { + t[0] = uint16(m[idx]) | (uint16(m[idx+1]) << 8) + t[1] = (uint16(m[idx+1]) >> 3) | (uint16(m[idx+2]) << 5) + t[2] = (uint16(m[idx+2]) >> 6) | (uint16(m[idx+3]) << 2) | (uint16(m[idx+4]) << 10) + t[3] = (uint16(m[idx+4]) >> 1) | (uint16(m[idx+5]) << 7) + t[4] = (uint16(m[idx+5]) >> 4) | (uint16(m[idx+6]) << 4) + t[5] = (uint16(m[idx+6]) >> 7) | (uint16(m[idx+7]) << 1) | (uint16(m[idx+8]) << 9) + t[6] = (uint16(m[idx+8]) >> 2) | (uint16(m[idx+9]) << 6) + t[7] = (uint16(m[idx+9]) >> 5) | (uint16(m[idx+10]) << 3) + + for j := 0; j < 8; j++ { + p[8*i+j] = int16(((1 << 10) + + uint32(t[j]&((1<<11)-1))*uint32(Q)) >> 11) + } + + idx += 11 + } + default: + panic("unsupported d") + } +} + +// Writes Compress_q(p, d) to m. +// +// Assumes p is normalized and d is in {3, 4, 5, 10, 11}. +func (p *Poly) CompressTo(m []byte, d int) { + // Compress_q(x, d) = ⌈(2ᵈ/q)x⌋ mod⁺ 2ᵈ + // = ⌊(2ᵈ/q)x+½⌋ mod⁺ 2ᵈ + // = ⌊((x << d) + q/2) / q⌋ mod⁺ 2ᵈ + // = DIV((x << d) + q/2, q) & ((1<>2) | byte(t[3]<<1) | byte(t[4]<<4) | byte(t[5]<<7) + m[idx+2] = byte(t[5]>>1) | byte(t[6]<<2) | byte(t[7]<<5) + idx += 3 + } + case 4: + var t [8]uint16 + idx := 0 + for i := 0; i < N/8; i++ { + for j := 0; j < 8; j++ { + t[j] = uint16(((uint32(p[8*i+j])<<4)+uint32(Q)/2)/ + uint32(Q)) & ((1 << 4) - 1) + } + m[idx] = byte(t[0]) | byte(t[1]<<4) + m[idx+1] = byte(t[2]) | byte(t[3]<<4) + m[idx+2] = byte(t[4]) | byte(t[5]<<4) + m[idx+3] = byte(t[6]) | byte(t[7]<<4) + idx += 4 + } + + case 5: + var t [8]uint16 + idx := 0 + for i := 0; i < N/8; i++ { + for j := 0; j < 8; j++ { + t[j] = uint16(((uint32(p[8*i+j])<<5)+uint32(Q)/2)/ + uint32(Q)) & ((1 << 5) - 1) + } + m[idx] = byte(t[0]) | byte(t[1]<<5) + m[idx+1] = byte(t[1]>>3) | byte(t[2]<<2) | byte(t[3]<<7) + m[idx+2] = byte(t[3]>>1) | byte(t[4]<<4) + m[idx+3] = byte(t[4]>>4) | byte(t[5]<<1) | byte(t[6]<<6) + m[idx+4] = byte(t[6]>>2) | byte(t[7]<<3) + idx += 5 + } + + case 10: + var t [4]uint16 + idx := 0 + for i := 0; i < N/4; i++ { + for j := 0; j < 4; j++ { + t[j] = uint16(((uint32(p[4*i+j])<<10)+uint32(Q)/2)/ + uint32(Q)) & ((1 << 10) - 1) + } + m[idx] = byte(t[0]) + m[idx+1] = byte(t[0]>>8) | byte(t[1]<<2) + m[idx+2] = byte(t[1]>>6) | byte(t[2]<<4) + m[idx+3] = byte(t[2]>>4) | byte(t[3]<<6) + m[idx+4] = byte(t[3] >> 2) + idx += 5 + } + case 11: + var t [8]uint16 + idx := 0 + for i := 0; i < N/8; i++ { + for j := 0; j < 8; j++ { + t[j] = uint16(((uint32(p[8*i+j])<<11)+uint32(Q)/2)/ + uint32(Q)) & ((1 << 11) - 1) + } + m[idx] = byte(t[0]) + m[idx+1] = byte(t[0]>>8) | byte(t[1]<<3) + m[idx+2] = byte(t[1]>>5) | byte(t[2]<<6) + m[idx+3] = byte(t[2] >> 2) + m[idx+4] = byte(t[2]>>10) | byte(t[3]<<1) + m[idx+5] = byte(t[3]>>7) | byte(t[4]<<4) + m[idx+6] = byte(t[4]>>4) | byte(t[5]<<7) + m[idx+7] = byte(t[5] >> 1) + m[idx+8] = byte(t[5]>>9) | byte(t[6]<<2) + m[idx+9] = byte(t[6]>>6) | byte(t[7]<<5) + m[idx+10] = byte(t[7] >> 3) + idx += 11 + } + default: + panic("unsupported d") + } +} diff --git a/src/circl/pke/kyber/internal/common/poly_test.go b/src/circl/pke/kyber/internal/common/poly_test.go new file mode 100644 index 00000000000..df9a22f711c --- /dev/null +++ b/src/circl/pke/kyber/internal/common/poly_test.go @@ -0,0 +1,126 @@ +package common + +import ( + "crypto/rand" + "fmt" + "testing" +) + +// Returns x mod^± q +func sModQ(x int16) int16 { + x = x % Q + if x >= (Q-1)/2 { + x = x - Q + } + return x +} + +func BenchmarkMulhat(b *testing.B) { + var a Poly + for i := 0; i < b.N; i++ { + a.MulHat(&a, &a) + } +} + +func TestDecompressMessage(t *testing.T) { + var m, m2 [PlaintextSize]byte + var p Poly + for i := 0; i < 1000; i++ { + _, _ = rand.Read(m[:]) + p.DecompressMessage(m[:]) + p.CompressMessageTo(m2[:]) + if m != m2 { + t.Fatal() + } + } +} + +func TestCompress(t *testing.T) { + for _, d := range []int{3, 4, 5, 10, 11} { + d := d + t.Run(fmt.Sprintf("d=%d", d), func(t *testing.T) { + var p, q Poly + bound := (Q + (1 << uint(d))) >> uint(d+1) + buf := make([]byte, (N*d-1)/8+1) + for i := 0; i < 1000; i++ { + p.Rand() + p.CompressTo(buf, d) + q.Decompress(buf, d) + for j := 0; j < N; j++ { + diff := sModQ(p[j] - q[j]) + if diff < 0 { + diff = -diff + } + if diff > bound { + t.Logf("%v\n", buf) + t.Fatalf("|%d - %d mod^± q| = %d > %d, j=%d", + p[i], q[j], diff, bound, j) + } + } + } + }) + } +} + +func TestCompressMessage(t *testing.T) { + var p Poly + var m [32]byte + ok := true + for i := 0; i < int(Q); i++ { + p[0] = int16(i) + p.CompressMessageTo(m[:]) + want := byte(0) + if i >= 833 && i < 2497 { + want = 1 + } + if m[0] != want { + ok = false + t.Logf("%d %d %d", i, want, m[0]) + } + } + if !ok { + t.Fatal() + } +} + +func TestMulHat(t *testing.T) { + for k := 0; k < 1000; k++ { + var a, b, p, ah, bh, ph Poly + a.RandAbsLeQ() + b.RandAbsLeQ() + b[0] = 1 + + ah = a + bh = b + ah.NTT() + bh.NTT() + ph.MulHat(&ah, &bh) + ph.InvNTT() + + for i := 0; i < N; i++ { + for j := 0; j < N; j++ { + v := montReduce(int32(a[i]) * int32(b[j])) + k := i + j + if k >= N { + // Recall xᴺ = -1. + k -= N + v = -v + } + p[k] = barrettReduce(v + p[k]) + } + } + + for i := 0; i < N; i++ { + p[i] = int16((int32(p[i]) * ((1 << 16) % int32(Q))) % int32(Q)) + } + + p.Normalize() + ph.Normalize() + a.Normalize() + b.Normalize() + + if p != ph { + t.Fatalf("%v\n%v\n%v\n%v", a, b, p, ph) + } + } +} diff --git a/src/circl/pke/kyber/internal/common/sample.go b/src/circl/pke/kyber/internal/common/sample.go new file mode 100644 index 00000000000..c727c03bab4 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/sample.go @@ -0,0 +1,78 @@ +package common + +import ( + "circl/internal/shake" + + "encoding/binary" +) + +// Sample p from a centered binomial distribution with n=4 and p=½ - that is: +// coefficients are in {-2, -1, 0, 1, 2} with probabilities {1/16, 1/4, +// 3/8, 1/4, 1/16}. +func (p *Poly) DeriveNoise(seed []byte, nonce uint8) { + keySuffix := [1]byte{nonce} + h := shake.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(keySuffix[:]) + + // The distribution at hand is exactly the same as that + // of (a + a') - (b + b') where a,a',b,b'~U(1). Thus we need 4 bits per + // coefficients, thus 128 bytes of input entropy. + + var buf [128]byte + _, _ = h.Read(buf[:]) + + // XXX 64 bits at a time? + for i := 0; i < 32; i++ { + // Byte is interpreted as a + 2a' + 4b + 8b' + \ldots. + t := binary.LittleEndian.Uint32(buf[4*i:]) + + d := t & 0x55555555 // a + 4b + \ldots + d += (t >> 1) & 0x55555555 // a+a' + 4(b + b') + \ldots + + for j := 0; j < 8; j++ { + a := int16(d>>uint(4*j)) & 0x3 // a + a' + b := int16(d>>uint(4*j+2)) & 0x3 // b + b' + p[8*i+j] = a - b + } + } +} + +// Sample p uniformly from the given seed and x and y coordinates. +// +// Coefficients are not reduced, but 0 ≤ p[i] ≤ 4.5q. +func (p *Poly) DeriveUniform(seed *[32]byte, x, y uint8) { + var seedSuffix [2]byte + var buf [168]byte // rate of SHAKE-128 + + seedSuffix[0] = x + seedSuffix[1] = y + + h := shake.NewShake128() + _, _ = h.Write(seed[:]) + _, _ = h.Write(seedSuffix[:]) + + i := 0 + for { + _, _ = h.Read(buf[:]) + + for j := 0; j < 168 && i < N; j += 2 { + t := uint16(buf[j]) | (uint16(buf[j+1]) << 8) + + // 19q is the largest multiple of q below 2¹⁶. + if t < 19*uint16(Q) { + // This is sloppy Barrett reduction: 1/2¹² is an approximation + // of 1/q, but not good enough to fully reduce modulo q. + // (See barrettReduce() for proper Barrett reduction.) + // This ensures that t ≤ 4.5q. + t -= (t >> 12) * uint16(Q) + p[i] = int16(t) + i++ + } + } + + if i == N { + break + } + } +} diff --git a/src/circl/pke/kyber/internal/common/sample_test.go b/src/circl/pke/kyber/internal/common/sample_test.go new file mode 100644 index 00000000000..8a6ab030151 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/sample_test.go @@ -0,0 +1,91 @@ +package common + +import ( + "testing" +) + +func TestPolyDeriveNoiseRef(t *testing.T) { + var p Poly + + want := Poly{ + 1, 0, 1, -1, -1, -2, -1, -1, 2, 0, -1, 0, 0, -1, + 1, 1, -1, 1, 0, 2, -2, 0, 1, 2, 0, 0, -1, 1, 0, -1, + 1, -1, 1, 2, 1, 1, 0, -1, 1, -1, -2, -1, 1, -1, -1, + -1, 2, -1, -1, 0, 0, 1, 1, -1, 1, 1, 1, 1, -1, -2, + 0, 1, 0, 0, 2, 1, -1, 2, 0, 0, 1, 1, 0, -1, 0, 0, + -1, -1, 2, 0, 1, -1, 2, -1, -1, -1, -1, 0, -2, 0, + 2, 1, 0, 0, 0, -1, 0, 0, 0, -1, -1, 0, -1, -1, 0, + -1, 0, 0, -2, 1, 1, 0, 1, 0, 1, 0, 1, 1, -1, 2, 0, + 1, -1, 1, 2, 0, 0, 0, 0, -1, -1, -1, 0, 1, 0, -1, + 2, 0, 0, 1, 1, 1, 0, 1, -1, 1, 2, 1, 0, 2, -1, 1, + -1, -2, -1, -2, -1, 1, 0, -2, -2, -1, 1, 0, 0, 0, + 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, -1, -1, 0, 2, 0, 0, + -2, 1, 0, 2, 1, -1, -2, 0, 0, -1, 1, 1, 0, 0, 2, + 0, 1, 1, -2, 1, -2, 1, 1, 0, 2, 0, -1, 0, -1, 0, + 1, 2, 0, 1, 0, -2, 1, -2, -2, 1, -1, 0, -1, 1, 1, + 0, 0, 0, 1, 0, -1, 1, 1, 0, 0, 0, 0, 1, 0, 1, -1, + 0, 1, -1, -1, 2, 0, 0, 1, -1, 0, 1, -1, 0, + } + + var seed [32]byte + + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + + p.DeriveNoise(seed[:], 37) + + if p != want { + t.Fatal() + } +} + +func TestPolyDeriveUniformRef(t *testing.T) { + var p Poly + + // Generated by reference implementation. + want := Poly{ + 1564, 1330, 2158, 6, 925, 2968, 2602, 2716, 134, + 3054, 2194, 158, 1728, 1632, 2471, 3230, 1722, 3194, + 2139, 1143, 3319, 2146, 330, 1033, 1726, 580, 129, + 836, 2955, 3196, 1055, 1063, 2058, 736, 2458, 2912, + 2368, 1877, 1086, 1758, 3236, 2329, 2143, 1050, + 2703, 3235, 31, 2806, 1322, 2842, 3060, 1298, 1868, + 2633, 1863, 1346, 3269, 84, 740, 774, 2157, 2016, + 1105, 66, 412, 2358, 2852, 560, 407, 1336, 1911, + 2611, 1147, 1535, 595, 1334, 2397, 2919, 2893, 2228, + 915, 2171, 322, 475, 855, 1281, 1051, 2102, 279, + 357, 3317, 3175, 2663, 1783, 3219, 2220, 167, 2055, + 1161, 3087, 2709, 375, 2104, 585, 2881, 1891, 684, + 2929, 2991, 636, 1826, 1666, 593, 2912, 3173, 3111, + 119, 1269, 2552, 62, 1056, 1977, 2225, 2942, 1070, + 1668, 2730, 2396, 52, 2499, 1413, 273, 2170, 2107, + 1422, 2774, 186, 2573, 3252, 1412, 1263, 3160, 163, + 2849, 236, 459, 2772, 1128, 2775, 3267, 1755, 3209, + 2331, 2041, 271, 647, 1381, 3313, 174, 1377, 1960, + 1597, 1776, 751, 2034, 1912, 795, 2124, 730, 1642, + 1142, 520, 2659, 2797, 1314, 1187, 2914, 1998, 797, + 366, 2362, 1732, 742, 3132, 2950, 899, 794, 1554, + 2036, 1032, 1229, 484, 3069, 1344, 74, 2283, 1722, + 1365, 1724, 1957, 1140, 2038, 392, 1666, 3217, 392, + 2872, 605, 628, 439, 3268, 605, 3299, 2478, 2069, + 1387, 1680, 149, 2890, 368, 280, 2363, 585, 3312, + 2289, 2979, 589, 1418, 2371, 296, 1833, 1506, 931, + 2986, 101, 1797, 2176, 397, 1623, 2691, 1883, 474, + 1923, 1063, 2749, 1633, 2740, 3159, 1541, 1825, + 2546, 2504, 2368, 394, 2225, 2296, + } + + var seed [32]byte + + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + + p.DeriveUniform(&seed, 1, 0) + p.Normalize() + + if p != want { + t.Fatal() + } +} diff --git a/src/circl/pke/kyber/kyber.go b/src/circl/pke/kyber/kyber.go new file mode 100644 index 00000000000..ab1799c3e1f --- /dev/null +++ b/src/circl/pke/kyber/kyber.go @@ -0,0 +1,10 @@ +//go:generate go run gen.go + +// Package kyber implements the CRYSTALS-Kyber.CPAPKE public key encrpyption +// as submitted to round 2 of the NIST PQC competition and described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// +// The related key encapsulation mechanism (KEM) CRYSTALS-Kyber.CCAKEM can +// be found in the package circl/kem/kyber. +package kyber diff --git a/src/circl/pke/kyber/kyber1024/internal/cpapke.go b/src/circl/pke/kyber/kyber1024/internal/cpapke.go new file mode 100644 index 00000000000..0765c948d49 --- /dev/null +++ b/src/circl/pke/kyber/kyber1024/internal/cpapke.go @@ -0,0 +1,179 @@ +// Code generated from kyber512/internal/cpapke.go by gen.go + +package internal + +import ( + "golang.org/x/crypto/sha3" + + "circl/pke/kyber/internal/common" +) + +// A Kyber.CPAPKE private key. +type PrivateKey struct { + sh Vec // NTT(s), normalized +} + +// A Kyber.CPAPKE public key. +type PublicKey struct { + rho [32]byte // ρ, the seed for the matrix A + th Vec // NTT(t), normalized + + // cached values + aT Mat // the matrix Aᵀ +} + +// Packs the private key to buf. +func (sk *PrivateKey) Pack(buf []byte) { + sk.sh.Pack(buf) +} + +// Unpacks the private key from buf. +func (sk *PrivateKey) Unpack(buf []byte) { + sk.sh.Unpack(buf) + sk.sh.Normalize() +} + +// Packs the public key to buf. +func (pk *PublicKey) Pack(buf []byte) { + pk.th.Pack(buf) + copy(buf[K*common.PolySize:], pk.rho[:]) +} + +// Unpacks the public key from buf. +func (pk *PublicKey) Unpack(buf []byte) { + pk.th.Unpack(buf) + pk.th.Normalize() + copy(pk.rho[:], buf[K*common.PolySize:]) + pk.aT.Derive(&pk.rho, true) +} + +// Derives a new Kyber.CPAPKE keypair from the given seed. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + + var expandedSeed [64]byte + + // XXX use internal sha3 implementation + h := sha3.New512() + _, _ = h.Write(seed) + + // This writes hash into expandedSeed. Yes, this is idiomatic Go. + h.Sum(expandedSeed[:0]) + + copy(pk.rho[:], expandedSeed[:32]) + sigma := expandedSeed[32:] // σ, the noise seed + + pk.aT.Derive(&pk.rho, false) // Expand ρ to matrix A; we'll transpose later + + var eh Vec + sk.sh.DeriveNoise(sigma, 0) // Sample secret vector s + sk.sh.NTT() + sk.sh.Normalize() + + eh.DeriveNoise(sigma, K) // Sample blind e + eh.NTT() + + // Next, we compute t = A s + e. + for i := 0; i < K; i++ { + // Note that coefficients of s are bounded by q and those of A + // are bounded by 4.5q and so their product is bounded by 2¹⁵q + // as required for multiplication. + PolyDotHat(&pk.th[i], &pk.aT[i], &sk.sh) + + // A and s were not in Montgomery form, so the Montgomery + // multiplications in the inner product added a factor R⁻¹ which + // we'll cancel out now. This will also ensure the coefficients of + // t are bounded in absolute value by q. + pk.th[i].ToMont() + } + + pk.th.Add(&pk.th, &eh) // bounded by 8q. + pk.th.Normalize() + pk.aT.Transpose() + + return &pk, &sk +} + +// Decrypts ciphertext ct meant for private key sk to plaintext pt. +func (sk *PrivateKey) DecryptTo(pt, ct []byte) { + var u Vec + var v, m common.Poly + + u.Decompress(ct, DU) + v.Decompress(ct[K*compressedPolySize(DU):], DV) + + // Compute m = v - + u.NTT() + PolyDotHat(&m, &sk.sh, &u) + m.InvNTT() + m.Sub(&v, &m) + m.Normalize() + + // Compress polynomial m to original message + m.CompressMessageTo(pt) +} + +// Encrypts message pt for the public key to ciphertext ct using randomness +// from seed. +// +// seed has to be of length SeedSize, pt of PlaintextSize and ct of +// CiphertextSize. +func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { + var rh, e1, u Vec + var e2, v, m common.Poly + + // Sample r, e₁ and e₂ from B_η + rh.DeriveNoise(seed, 0) + rh.NTT() + rh.BarrettReduce() + + e1.DeriveNoise(seed, K) + e2.DeriveNoise(seed, 2*K) + + // Next we compute u = Aᵀ r + e₁. First Aᵀ. + for i := 0; i < K; i++ { + // Note that coefficients of r are bounded by q and those of Aᵀ + // are bounded by 4.5q and so their product is bounded by 2¹⁵q + // as required for multiplication. + PolyDotHat(&u[i], &pk.aT[i], &rh) + } + + // XXX InvNTT actually works with inputs only bounded by ~3q so we might + // be able to remove this reduction for some K. + u.BarrettReduce() + + // Aᵀ and r were not in Montgomery form, so the Montgomery + // multiplications in the inner product added a factor R⁻¹ which + // the InvNTT cancels out. + u.InvNTT() + + u.Add(&u, &e1) // u = Aᵀ r + e₁ + + // Next compute v = + e₂ + Decompress_q(m, 1). + PolyDotHat(&v, &pk.th, &rh) + v.BarrettReduce() + v.InvNTT() + + m.DecompressMessage(pt) + v.Add(&v, &m) + v.Add(&v, &e2) // v = + e₂ + Decompress_q(m, 1) + + // Pack ciphertext + u.Normalize() + v.Normalize() + + u.CompressTo(ct, DU) + v.CompressTo(ct[K*compressedPolySize(DU):], DV) +} + +// Returns whether sk equals other. +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := int16(0) + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + ret |= sk.sh[i][j] ^ other.sh[i][j] + } + } + return ret == 0 +} diff --git a/src/circl/pke/kyber/kyber1024/internal/cpapke_test.go b/src/circl/pke/kyber/kyber1024/internal/cpapke_test.go new file mode 100644 index 00000000000..dcc62531675 --- /dev/null +++ b/src/circl/pke/kyber/kyber1024/internal/cpapke_test.go @@ -0,0 +1,46 @@ +// Code generated from kyber512/internal/cpapke_test.go by gen.go + +package internal + +import ( + "crypto/rand" + "encoding/hex" + "testing" + + "golang.org/x/crypto/sha3" +) + +func hexHash(in []byte) string { + h := sha3.Sum256(in) + return hex.EncodeToString(h[:8]) +} + +func TestEncryptThenDecrypt(t *testing.T) { + var seed [32]byte + var coin [SeedSize]byte + + for i := 0; i < 32; i++ { + seed[i] = byte(i) + coin[i] = byte(i) + } + + for i := 0; i < 100; i++ { + seed[0] = byte(i) + pk, sk := NewKeyFromSeed(seed[:]) + + for j := 0; j < 100; j++ { + var msg, msg2 [PlaintextSize]byte + var ct [CiphertextSize]byte + + _, _ = rand.Read(msg[:]) + _, _ = rand.Read(coin[:]) + + pk.EncryptTo(ct[:], coin[:], msg[:]) + sk.DecryptTo(msg2[:], ct[:]) + + if msg != msg2 { + t.Fatalf("%v %v %v", ct, msg, msg2) + } + } + } +} diff --git a/src/circl/pke/kyber/kyber1024/internal/mat.go b/src/circl/pke/kyber/kyber1024/internal/mat.go new file mode 100644 index 00000000000..8f5e5497736 --- /dev/null +++ b/src/circl/pke/kyber/kyber1024/internal/mat.go @@ -0,0 +1,34 @@ +// Code generated from kyber512/internal/mat.go by gen.go + +package internal + +// A k by k matrix of polynomials. +type Mat [K]Vec + +// Expands the given seed to the corresponding matrix A or its transpose Aᵀ. +func (m *Mat) Derive(seed *[32]byte, transpose bool) { + if transpose { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + } + } + } else { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + } + } + } +} + +// Tranposes A in place. +func (m *Mat) Transpose() { + for i := 0; i < K-1; i++ { + for j := i + 1; j < K; j++ { + t := m[i][j] + m[i][j] = m[j][i] + m[j][i] = t + } + } +} diff --git a/src/circl/pke/kyber/kyber1024/internal/params.go b/src/circl/pke/kyber/kyber1024/internal/params.go new file mode 100644 index 00000000000..b1eed622e39 --- /dev/null +++ b/src/circl/pke/kyber/kyber1024/internal/params.go @@ -0,0 +1,20 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +import ( + "circl/pke/kyber/internal/common" +) + +const ( + K = 4 + DU = 11 + DV = 5 + PublicKeySize = 32 + K*common.PolySize + + PrivateKeySize = K * common.PolySize + + PlaintextSize = common.PlaintextSize + SeedSize = 32 + CiphertextSize = 1568 +) diff --git a/src/circl/pke/kyber/kyber1024/internal/params_test.go b/src/circl/pke/kyber/kyber1024/internal/params_test.go new file mode 100644 index 00000000000..dfa81676c68 --- /dev/null +++ b/src/circl/pke/kyber/kyber1024/internal/params_test.go @@ -0,0 +1,25 @@ +package internal + +import ( + "testing" +) + +func TestNewKeyFromSeed(t *testing.T) { + var seed [32]byte + var ppk [PublicKeySize]byte + var psk [PrivateKeySize]byte + + for i := 0; i < 32; i++ { + seed[i] = uint8(i) + } + pk, sk := NewKeyFromSeed(seed[:]) + pk.Pack(ppk[:]) + sk.Pack(psk[:]) + + if hexHash(ppk[:]) != "545bfe9c57c40641" { + t.Fatal() + } + if hexHash(psk[:]) != "76e2e97aedb8e904" { + t.Fatal() + } +} diff --git a/src/circl/pke/kyber/kyber1024/internal/vec.go b/src/circl/pke/kyber/kyber1024/internal/vec.go new file mode 100644 index 00000000000..aac9462089c --- /dev/null +++ b/src/circl/pke/kyber/kyber1024/internal/vec.go @@ -0,0 +1,125 @@ +// Code generated from kyber512/internal/vec.go by gen.go + +package internal + +import ( + "circl/pke/kyber/internal/common" +) + +// A vector of K polynomials +type Vec [K]common.Poly + +// Samples v[i] from the centered binomial distribution with p=½ and n=4 +// with the given seed and nonce+i. +func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { + for i := 0; i < K; i++ { + v[i].DeriveNoise(seed, nonce+uint8(i)) + } +} + +// Sets p to the inner product of a and b using "pointwise" multiplication. +// +// See MulHat() and NTT() for a description of the multiplication. +// Assumes a and b are in Montgomery form. p will be in Montgomery form, +// and its coefficients will be bounded in absolute value by kq. +// If a and b are not in Montgomery form, then the action is the same +// as "pointwise" multiplication followed by multiplying by R⁻¹, the inverse +// of the Montgomery factor. +func PolyDotHat(p *common.Poly, a, b *Vec) { + var t common.Poly + *p = common.Poly{} // set p to zero + for i := 0; i < K; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} + +// Almost normalizes coefficients in-place. +// +// Ensures each coefficient is in {0, …, q}. +func (v *Vec) BarrettReduce() { + for i := 0; i < K; i++ { + v[i].BarrettReduce() + } +} + +// Normalizes coefficients in-place. +// +// Ensures each coefficient is in {0, …, q-1}. +func (v *Vec) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Applies in-place inverse NTT(). See Poly.InvNTT() for assumptions. +func (v *Vec) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies in-place forward NTT(). See Poly.NTT() for assumptions. +func (v *Vec) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sets v to a + b. +func (v *Vec) Add(a, b *Vec) { + for i := 0; i < K; i++ { + v[i].Add(&a[i], &b[i]) + } +} + +// Packs v into buf, which must be of length K*PolySize. +func (v *Vec) Pack(buf []byte) { + for i := 0; i < K; i++ { + v[i].Pack(buf[common.PolySize*i:]) + } +} + +// Unpacks v from buf which must be of length K*PolySize. +func (v *Vec) Unpack(buf []byte) { + for i := 0; i < K; i++ { + v[i].Unpack(buf[common.PolySize*i:]) + } +} + +// Writes Compress_q(v, d) to m. +// +// Assumes v is normalized and d is in {3, 4, 5, 10, 11}. +func (v *Vec) CompressTo(m []byte, d int) { + size := compressedPolySize(d) + for i := 0; i < K; i++ { + v[i].CompressTo(m[size*i:], d) + } +} + +// Set v to Decompress_q(m, 1). +// +// Assumes d is in {3, 4, 5, 10, 11}. v will be normalized. +func (v *Vec) Decompress(m []byte, d int) { + size := compressedPolySize(d) + for i := 0; i < K; i++ { + v[i].Decompress(m[size*i:], d) + } +} + +// ⌈(256 d)/8⌉ +func compressedPolySize(d int) int { + switch d { + case 3: + return 96 + case 4: + return 128 + case 5: + return 160 + case 10: + return 320 + case 11: + return 352 + } + panic("unsupported d") +} diff --git a/src/circl/pke/kyber/kyber1024/kyber.go b/src/circl/pke/kyber/kyber1024/kyber.go new file mode 100644 index 00000000000..be2b2460fa9 --- /dev/null +++ b/src/circl/pke/kyber/kyber1024/kyber.go @@ -0,0 +1,145 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// kyber1024 implements the IND-CPA-secure Public Key Encryption +// scheme Kyber1024.CPAPKE as submitted to round2 of the NIST PQC competition +// and described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package kyber1024 + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/pke/kyber/kyber1024/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = internal.SeedSize + + // Size of seed for EncryptTo + EncryptionSeedSize = internal.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a ciphertext + CiphertextSize = internal.CiphertextSize + + // Size of a plaintext + PlaintextSize = internal.PlaintextSize +) + +// PublicKey is the type of Kyber1024.CPAPKE public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Kyber1024.CPAPKE private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := internal.NewKeyFromSeed(seed[:]) + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// EncryptTo encrypts message pt for the public key and writes the ciphertext +// to ct using randomness from seed. +// +// This function panics if the lengths of pt, seed and ct are not +// PlaintextSize, EncryptionSeedSize and CiphertextSize respectively. +func (pk *PublicKey) EncryptTo(ct []byte, pt []byte, seed []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + if len(seed) != EncryptionSeedSize { + panic("seed must be of length EncryptionSeedSize") + } + (*internal.PublicKey)(pk).EncryptTo(ct, pt, seed) +} + +// DecryptTo decrypts message ct for the private key and writes the +// plaintext to pt. +// +// This function panics if the lengths of ct and pt are not +// CiphertextSize and PlaintextSize respectively. +func (sk *PrivateKey) DecryptTo(pt []byte, ct []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + (*internal.PrivateKey)(sk).DecryptTo(pt, ct) +} + +// Packs pk into the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs sk into the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Unpacks pk from the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Unpacks sk from the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Returns whether the two private keys are equal. +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(other)) +} diff --git a/src/circl/pke/kyber/kyber512/internal/cpapke.go b/src/circl/pke/kyber/kyber512/internal/cpapke.go new file mode 100644 index 00000000000..218ee523c49 --- /dev/null +++ b/src/circl/pke/kyber/kyber512/internal/cpapke.go @@ -0,0 +1,177 @@ +package internal + +import ( + "golang.org/x/crypto/sha3" + + "circl/pke/kyber/internal/common" +) + +// A Kyber.CPAPKE private key. +type PrivateKey struct { + sh Vec // NTT(s), normalized +} + +// A Kyber.CPAPKE public key. +type PublicKey struct { + rho [32]byte // ρ, the seed for the matrix A + th Vec // NTT(t), normalized + + // cached values + aT Mat // the matrix Aᵀ +} + +// Packs the private key to buf. +func (sk *PrivateKey) Pack(buf []byte) { + sk.sh.Pack(buf) +} + +// Unpacks the private key from buf. +func (sk *PrivateKey) Unpack(buf []byte) { + sk.sh.Unpack(buf) + sk.sh.Normalize() +} + +// Packs the public key to buf. +func (pk *PublicKey) Pack(buf []byte) { + pk.th.Pack(buf) + copy(buf[K*common.PolySize:], pk.rho[:]) +} + +// Unpacks the public key from buf. +func (pk *PublicKey) Unpack(buf []byte) { + pk.th.Unpack(buf) + pk.th.Normalize() + copy(pk.rho[:], buf[K*common.PolySize:]) + pk.aT.Derive(&pk.rho, true) +} + +// Derives a new Kyber.CPAPKE keypair from the given seed. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + + var expandedSeed [64]byte + + // XXX use internal sha3 implementation + h := sha3.New512() + _, _ = h.Write(seed) + + // This writes hash into expandedSeed. Yes, this is idiomatic Go. + h.Sum(expandedSeed[:0]) + + copy(pk.rho[:], expandedSeed[:32]) + sigma := expandedSeed[32:] // σ, the noise seed + + pk.aT.Derive(&pk.rho, false) // Expand ρ to matrix A; we'll transpose later + + var eh Vec + sk.sh.DeriveNoise(sigma, 0) // Sample secret vector s + sk.sh.NTT() + sk.sh.Normalize() + + eh.DeriveNoise(sigma, K) // Sample blind e + eh.NTT() + + // Next, we compute t = A s + e. + for i := 0; i < K; i++ { + // Note that coefficients of s are bounded by q and those of A + // are bounded by 4.5q and so their product is bounded by 2¹⁵q + // as required for multiplication. + PolyDotHat(&pk.th[i], &pk.aT[i], &sk.sh) + + // A and s were not in Montgomery form, so the Montgomery + // multiplications in the inner product added a factor R⁻¹ which + // we'll cancel out now. This will also ensure the coefficients of + // t are bounded in absolute value by q. + pk.th[i].ToMont() + } + + pk.th.Add(&pk.th, &eh) // bounded by 8q. + pk.th.Normalize() + pk.aT.Transpose() + + return &pk, &sk +} + +// Decrypts ciphertext ct meant for private key sk to plaintext pt. +func (sk *PrivateKey) DecryptTo(pt, ct []byte) { + var u Vec + var v, m common.Poly + + u.Decompress(ct, DU) + v.Decompress(ct[K*compressedPolySize(DU):], DV) + + // Compute m = v - + u.NTT() + PolyDotHat(&m, &sk.sh, &u) + m.InvNTT() + m.Sub(&v, &m) + m.Normalize() + + // Compress polynomial m to original message + m.CompressMessageTo(pt) +} + +// Encrypts message pt for the public key to ciphertext ct using randomness +// from seed. +// +// seed has to be of length SeedSize, pt of PlaintextSize and ct of +// CiphertextSize. +func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { + var rh, e1, u Vec + var e2, v, m common.Poly + + // Sample r, e₁ and e₂ from B_η + rh.DeriveNoise(seed, 0) + rh.NTT() + rh.BarrettReduce() + + e1.DeriveNoise(seed, K) + e2.DeriveNoise(seed, 2*K) + + // Next we compute u = Aᵀ r + e₁. First Aᵀ. + for i := 0; i < K; i++ { + // Note that coefficients of r are bounded by q and those of Aᵀ + // are bounded by 4.5q and so their product is bounded by 2¹⁵q + // as required for multiplication. + PolyDotHat(&u[i], &pk.aT[i], &rh) + } + + // XXX InvNTT actually works with inputs only bounded by ~3q so we might + // be able to remove this reduction for some K. + u.BarrettReduce() + + // Aᵀ and r were not in Montgomery form, so the Montgomery + // multiplications in the inner product added a factor R⁻¹ which + // the InvNTT cancels out. + u.InvNTT() + + u.Add(&u, &e1) // u = Aᵀ r + e₁ + + // Next compute v = + e₂ + Decompress_q(m, 1). + PolyDotHat(&v, &pk.th, &rh) + v.BarrettReduce() + v.InvNTT() + + m.DecompressMessage(pt) + v.Add(&v, &m) + v.Add(&v, &e2) // v = + e₂ + Decompress_q(m, 1) + + // Pack ciphertext + u.Normalize() + v.Normalize() + + u.CompressTo(ct, DU) + v.CompressTo(ct[K*compressedPolySize(DU):], DV) +} + +// Returns whether sk equals other. +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := int16(0) + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + ret |= sk.sh[i][j] ^ other.sh[i][j] + } + } + return ret == 0 +} diff --git a/src/circl/pke/kyber/kyber512/internal/cpapke_test.go b/src/circl/pke/kyber/kyber512/internal/cpapke_test.go new file mode 100644 index 00000000000..6091fb71926 --- /dev/null +++ b/src/circl/pke/kyber/kyber512/internal/cpapke_test.go @@ -0,0 +1,44 @@ +package internal + +import ( + "crypto/rand" + "encoding/hex" + "testing" + + "golang.org/x/crypto/sha3" +) + +func hexHash(in []byte) string { + h := sha3.Sum256(in) + return hex.EncodeToString(h[:8]) +} + +func TestEncryptThenDecrypt(t *testing.T) { + var seed [32]byte + var coin [SeedSize]byte + + for i := 0; i < 32; i++ { + seed[i] = byte(i) + coin[i] = byte(i) + } + + for i := 0; i < 100; i++ { + seed[0] = byte(i) + pk, sk := NewKeyFromSeed(seed[:]) + + for j := 0; j < 100; j++ { + var msg, msg2 [PlaintextSize]byte + var ct [CiphertextSize]byte + + _, _ = rand.Read(msg[:]) + _, _ = rand.Read(coin[:]) + + pk.EncryptTo(ct[:], coin[:], msg[:]) + sk.DecryptTo(msg2[:], ct[:]) + + if msg != msg2 { + t.Fatalf("%v %v %v", ct, msg, msg2) + } + } + } +} diff --git a/src/circl/pke/kyber/kyber512/internal/mat.go b/src/circl/pke/kyber/kyber512/internal/mat.go new file mode 100644 index 00000000000..003feb7f112 --- /dev/null +++ b/src/circl/pke/kyber/kyber512/internal/mat.go @@ -0,0 +1,32 @@ +package internal + +// A k by k matrix of polynomials. +type Mat [K]Vec + +// Expands the given seed to the corresponding matrix A or its transpose Aᵀ. +func (m *Mat) Derive(seed *[32]byte, transpose bool) { + if transpose { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + } + } + } else { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + } + } + } +} + +// Tranposes A in place. +func (m *Mat) Transpose() { + for i := 0; i < K-1; i++ { + for j := i + 1; j < K; j++ { + t := m[i][j] + m[i][j] = m[j][i] + m[j][i] = t + } + } +} diff --git a/src/circl/pke/kyber/kyber512/internal/params.go b/src/circl/pke/kyber/kyber512/internal/params.go new file mode 100644 index 00000000000..0935c06e347 --- /dev/null +++ b/src/circl/pke/kyber/kyber512/internal/params.go @@ -0,0 +1,20 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +import ( + "circl/pke/kyber/internal/common" +) + +const ( + K = 2 + DU = 10 + DV = 3 + PublicKeySize = 32 + K*common.PolySize + + PrivateKeySize = K * common.PolySize + + PlaintextSize = common.PlaintextSize + SeedSize = 32 + CiphertextSize = 736 +) diff --git a/src/circl/pke/kyber/kyber512/internal/params_test.go b/src/circl/pke/kyber/kyber512/internal/params_test.go new file mode 100644 index 00000000000..6406d99d29c --- /dev/null +++ b/src/circl/pke/kyber/kyber512/internal/params_test.go @@ -0,0 +1,25 @@ +package internal + +import ( + "testing" +) + +func TestNewKeyFromSeed(t *testing.T) { + var seed [32]byte + var ppk [PublicKeySize]byte + var psk [PrivateKeySize]byte + + for i := 0; i < 32; i++ { + seed[i] = uint8(i) + } + pk, sk := NewKeyFromSeed(seed[:]) + pk.Pack(ppk[:]) + sk.Pack(psk[:]) + + if hexHash(ppk[:]) != "dcd0498733bdcda5" { + t.Fatal() + } + if hexHash(psk[:]) != "fde000dd9e761431" { + t.Fatal() + } +} diff --git a/src/circl/pke/kyber/kyber512/internal/vec.go b/src/circl/pke/kyber/kyber512/internal/vec.go new file mode 100644 index 00000000000..9af86b54fa3 --- /dev/null +++ b/src/circl/pke/kyber/kyber512/internal/vec.go @@ -0,0 +1,123 @@ +package internal + +import ( + "circl/pke/kyber/internal/common" +) + +// A vector of K polynomials +type Vec [K]common.Poly + +// Samples v[i] from the centered binomial distribution with p=½ and n=4 +// with the given seed and nonce+i. +func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { + for i := 0; i < K; i++ { + v[i].DeriveNoise(seed, nonce+uint8(i)) + } +} + +// Sets p to the inner product of a and b using "pointwise" multiplication. +// +// See MulHat() and NTT() for a description of the multiplication. +// Assumes a and b are in Montgomery form. p will be in Montgomery form, +// and its coefficients will be bounded in absolute value by kq. +// If a and b are not in Montgomery form, then the action is the same +// as "pointwise" multiplication followed by multiplying by R⁻¹, the inverse +// of the Montgomery factor. +func PolyDotHat(p *common.Poly, a, b *Vec) { + var t common.Poly + *p = common.Poly{} // set p to zero + for i := 0; i < K; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} + +// Almost normalizes coefficients in-place. +// +// Ensures each coefficient is in {0, …, q}. +func (v *Vec) BarrettReduce() { + for i := 0; i < K; i++ { + v[i].BarrettReduce() + } +} + +// Normalizes coefficients in-place. +// +// Ensures each coefficient is in {0, …, q-1}. +func (v *Vec) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Applies in-place inverse NTT(). See Poly.InvNTT() for assumptions. +func (v *Vec) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies in-place forward NTT(). See Poly.NTT() for assumptions. +func (v *Vec) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sets v to a + b. +func (v *Vec) Add(a, b *Vec) { + for i := 0; i < K; i++ { + v[i].Add(&a[i], &b[i]) + } +} + +// Packs v into buf, which must be of length K*PolySize. +func (v *Vec) Pack(buf []byte) { + for i := 0; i < K; i++ { + v[i].Pack(buf[common.PolySize*i:]) + } +} + +// Unpacks v from buf which must be of length K*PolySize. +func (v *Vec) Unpack(buf []byte) { + for i := 0; i < K; i++ { + v[i].Unpack(buf[common.PolySize*i:]) + } +} + +// Writes Compress_q(v, d) to m. +// +// Assumes v is normalized and d is in {3, 4, 5, 10, 11}. +func (v *Vec) CompressTo(m []byte, d int) { + size := compressedPolySize(d) + for i := 0; i < K; i++ { + v[i].CompressTo(m[size*i:], d) + } +} + +// Set v to Decompress_q(m, 1). +// +// Assumes d is in {3, 4, 5, 10, 11}. v will be normalized. +func (v *Vec) Decompress(m []byte, d int) { + size := compressedPolySize(d) + for i := 0; i < K; i++ { + v[i].Decompress(m[size*i:], d) + } +} + +// ⌈(256 d)/8⌉ +func compressedPolySize(d int) int { + switch d { + case 3: + return 96 + case 4: + return 128 + case 5: + return 160 + case 10: + return 320 + case 11: + return 352 + } + panic("unsupported d") +} diff --git a/src/circl/pke/kyber/kyber512/kyber.go b/src/circl/pke/kyber/kyber512/kyber.go new file mode 100644 index 00000000000..b991fb79ee1 --- /dev/null +++ b/src/circl/pke/kyber/kyber512/kyber.go @@ -0,0 +1,145 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// kyber512 implements the IND-CPA-secure Public Key Encryption +// scheme Kyber512.CPAPKE as submitted to round2 of the NIST PQC competition +// and described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package kyber512 + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/pke/kyber/kyber512/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = internal.SeedSize + + // Size of seed for EncryptTo + EncryptionSeedSize = internal.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a ciphertext + CiphertextSize = internal.CiphertextSize + + // Size of a plaintext + PlaintextSize = internal.PlaintextSize +) + +// PublicKey is the type of Kyber512.CPAPKE public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Kyber512.CPAPKE private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := internal.NewKeyFromSeed(seed[:]) + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// EncryptTo encrypts message pt for the public key and writes the ciphertext +// to ct using randomness from seed. +// +// This function panics if the lengths of pt, seed and ct are not +// PlaintextSize, EncryptionSeedSize and CiphertextSize respectively. +func (pk *PublicKey) EncryptTo(ct []byte, pt []byte, seed []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + if len(seed) != EncryptionSeedSize { + panic("seed must be of length EncryptionSeedSize") + } + (*internal.PublicKey)(pk).EncryptTo(ct, pt, seed) +} + +// DecryptTo decrypts message ct for the private key and writes the +// plaintext to pt. +// +// This function panics if the lengths of ct and pt are not +// CiphertextSize and PlaintextSize respectively. +func (sk *PrivateKey) DecryptTo(pt []byte, ct []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + (*internal.PrivateKey)(sk).DecryptTo(pt, ct) +} + +// Packs pk into the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs sk into the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Unpacks pk from the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Unpacks sk from the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Returns whether the two private keys are equal. +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(other)) +} diff --git a/src/circl/pke/kyber/kyber768/internal/cpapke.go b/src/circl/pke/kyber/kyber768/internal/cpapke.go new file mode 100644 index 00000000000..0765c948d49 --- /dev/null +++ b/src/circl/pke/kyber/kyber768/internal/cpapke.go @@ -0,0 +1,179 @@ +// Code generated from kyber512/internal/cpapke.go by gen.go + +package internal + +import ( + "golang.org/x/crypto/sha3" + + "circl/pke/kyber/internal/common" +) + +// A Kyber.CPAPKE private key. +type PrivateKey struct { + sh Vec // NTT(s), normalized +} + +// A Kyber.CPAPKE public key. +type PublicKey struct { + rho [32]byte // ρ, the seed for the matrix A + th Vec // NTT(t), normalized + + // cached values + aT Mat // the matrix Aᵀ +} + +// Packs the private key to buf. +func (sk *PrivateKey) Pack(buf []byte) { + sk.sh.Pack(buf) +} + +// Unpacks the private key from buf. +func (sk *PrivateKey) Unpack(buf []byte) { + sk.sh.Unpack(buf) + sk.sh.Normalize() +} + +// Packs the public key to buf. +func (pk *PublicKey) Pack(buf []byte) { + pk.th.Pack(buf) + copy(buf[K*common.PolySize:], pk.rho[:]) +} + +// Unpacks the public key from buf. +func (pk *PublicKey) Unpack(buf []byte) { + pk.th.Unpack(buf) + pk.th.Normalize() + copy(pk.rho[:], buf[K*common.PolySize:]) + pk.aT.Derive(&pk.rho, true) +} + +// Derives a new Kyber.CPAPKE keypair from the given seed. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + var pk PublicKey + var sk PrivateKey + + var expandedSeed [64]byte + + // XXX use internal sha3 implementation + h := sha3.New512() + _, _ = h.Write(seed) + + // This writes hash into expandedSeed. Yes, this is idiomatic Go. + h.Sum(expandedSeed[:0]) + + copy(pk.rho[:], expandedSeed[:32]) + sigma := expandedSeed[32:] // σ, the noise seed + + pk.aT.Derive(&pk.rho, false) // Expand ρ to matrix A; we'll transpose later + + var eh Vec + sk.sh.DeriveNoise(sigma, 0) // Sample secret vector s + sk.sh.NTT() + sk.sh.Normalize() + + eh.DeriveNoise(sigma, K) // Sample blind e + eh.NTT() + + // Next, we compute t = A s + e. + for i := 0; i < K; i++ { + // Note that coefficients of s are bounded by q and those of A + // are bounded by 4.5q and so their product is bounded by 2¹⁵q + // as required for multiplication. + PolyDotHat(&pk.th[i], &pk.aT[i], &sk.sh) + + // A and s were not in Montgomery form, so the Montgomery + // multiplications in the inner product added a factor R⁻¹ which + // we'll cancel out now. This will also ensure the coefficients of + // t are bounded in absolute value by q. + pk.th[i].ToMont() + } + + pk.th.Add(&pk.th, &eh) // bounded by 8q. + pk.th.Normalize() + pk.aT.Transpose() + + return &pk, &sk +} + +// Decrypts ciphertext ct meant for private key sk to plaintext pt. +func (sk *PrivateKey) DecryptTo(pt, ct []byte) { + var u Vec + var v, m common.Poly + + u.Decompress(ct, DU) + v.Decompress(ct[K*compressedPolySize(DU):], DV) + + // Compute m = v - + u.NTT() + PolyDotHat(&m, &sk.sh, &u) + m.InvNTT() + m.Sub(&v, &m) + m.Normalize() + + // Compress polynomial m to original message + m.CompressMessageTo(pt) +} + +// Encrypts message pt for the public key to ciphertext ct using randomness +// from seed. +// +// seed has to be of length SeedSize, pt of PlaintextSize and ct of +// CiphertextSize. +func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { + var rh, e1, u Vec + var e2, v, m common.Poly + + // Sample r, e₁ and e₂ from B_η + rh.DeriveNoise(seed, 0) + rh.NTT() + rh.BarrettReduce() + + e1.DeriveNoise(seed, K) + e2.DeriveNoise(seed, 2*K) + + // Next we compute u = Aᵀ r + e₁. First Aᵀ. + for i := 0; i < K; i++ { + // Note that coefficients of r are bounded by q and those of Aᵀ + // are bounded by 4.5q and so their product is bounded by 2¹⁵q + // as required for multiplication. + PolyDotHat(&u[i], &pk.aT[i], &rh) + } + + // XXX InvNTT actually works with inputs only bounded by ~3q so we might + // be able to remove this reduction for some K. + u.BarrettReduce() + + // Aᵀ and r were not in Montgomery form, so the Montgomery + // multiplications in the inner product added a factor R⁻¹ which + // the InvNTT cancels out. + u.InvNTT() + + u.Add(&u, &e1) // u = Aᵀ r + e₁ + + // Next compute v = + e₂ + Decompress_q(m, 1). + PolyDotHat(&v, &pk.th, &rh) + v.BarrettReduce() + v.InvNTT() + + m.DecompressMessage(pt) + v.Add(&v, &m) + v.Add(&v, &e2) // v = + e₂ + Decompress_q(m, 1) + + // Pack ciphertext + u.Normalize() + v.Normalize() + + u.CompressTo(ct, DU) + v.CompressTo(ct[K*compressedPolySize(DU):], DV) +} + +// Returns whether sk equals other. +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + ret := int16(0) + for i := 0; i < K; i++ { + for j := 0; j < common.N; j++ { + ret |= sk.sh[i][j] ^ other.sh[i][j] + } + } + return ret == 0 +} diff --git a/src/circl/pke/kyber/kyber768/internal/cpapke_test.go b/src/circl/pke/kyber/kyber768/internal/cpapke_test.go new file mode 100644 index 00000000000..dcc62531675 --- /dev/null +++ b/src/circl/pke/kyber/kyber768/internal/cpapke_test.go @@ -0,0 +1,46 @@ +// Code generated from kyber512/internal/cpapke_test.go by gen.go + +package internal + +import ( + "crypto/rand" + "encoding/hex" + "testing" + + "golang.org/x/crypto/sha3" +) + +func hexHash(in []byte) string { + h := sha3.Sum256(in) + return hex.EncodeToString(h[:8]) +} + +func TestEncryptThenDecrypt(t *testing.T) { + var seed [32]byte + var coin [SeedSize]byte + + for i := 0; i < 32; i++ { + seed[i] = byte(i) + coin[i] = byte(i) + } + + for i := 0; i < 100; i++ { + seed[0] = byte(i) + pk, sk := NewKeyFromSeed(seed[:]) + + for j := 0; j < 100; j++ { + var msg, msg2 [PlaintextSize]byte + var ct [CiphertextSize]byte + + _, _ = rand.Read(msg[:]) + _, _ = rand.Read(coin[:]) + + pk.EncryptTo(ct[:], coin[:], msg[:]) + sk.DecryptTo(msg2[:], ct[:]) + + if msg != msg2 { + t.Fatalf("%v %v %v", ct, msg, msg2) + } + } + } +} diff --git a/src/circl/pke/kyber/kyber768/internal/mat.go b/src/circl/pke/kyber/kyber768/internal/mat.go new file mode 100644 index 00000000000..8f5e5497736 --- /dev/null +++ b/src/circl/pke/kyber/kyber768/internal/mat.go @@ -0,0 +1,34 @@ +// Code generated from kyber512/internal/mat.go by gen.go + +package internal + +// A k by k matrix of polynomials. +type Mat [K]Vec + +// Expands the given seed to the corresponding matrix A or its transpose Aᵀ. +func (m *Mat) Derive(seed *[32]byte, transpose bool) { + if transpose { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + } + } + } else { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + } + } + } +} + +// Tranposes A in place. +func (m *Mat) Transpose() { + for i := 0; i < K-1; i++ { + for j := i + 1; j < K; j++ { + t := m[i][j] + m[i][j] = m[j][i] + m[j][i] = t + } + } +} diff --git a/src/circl/pke/kyber/kyber768/internal/params.go b/src/circl/pke/kyber/kyber768/internal/params.go new file mode 100644 index 00000000000..348203a9633 --- /dev/null +++ b/src/circl/pke/kyber/kyber768/internal/params.go @@ -0,0 +1,20 @@ +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +import ( + "circl/pke/kyber/internal/common" +) + +const ( + K = 3 + DU = 10 + DV = 4 + PublicKeySize = 32 + K*common.PolySize + + PrivateKeySize = K * common.PolySize + + PlaintextSize = common.PlaintextSize + SeedSize = 32 + CiphertextSize = 1088 +) diff --git a/src/circl/pke/kyber/kyber768/internal/params_test.go b/src/circl/pke/kyber/kyber768/internal/params_test.go new file mode 100644 index 00000000000..f8f253dcd9c --- /dev/null +++ b/src/circl/pke/kyber/kyber768/internal/params_test.go @@ -0,0 +1,25 @@ +package internal + +import ( + "testing" +) + +func TestNewKeyFromSeed(t *testing.T) { + var seed [32]byte + var ppk [PublicKeySize]byte + var psk [PrivateKeySize]byte + + for i := 0; i < 32; i++ { + seed[i] = uint8(i) + } + pk, sk := NewKeyFromSeed(seed[:]) + pk.Pack(ppk[:]) + sk.Pack(psk[:]) + + if hexHash(ppk[:]) != "c8d2666793358e30" { + t.Fatal() + } + if hexHash(psk[:]) != "bced10f66aa95b77" { + t.Fatal() + } +} diff --git a/src/circl/pke/kyber/kyber768/internal/vec.go b/src/circl/pke/kyber/kyber768/internal/vec.go new file mode 100644 index 00000000000..aac9462089c --- /dev/null +++ b/src/circl/pke/kyber/kyber768/internal/vec.go @@ -0,0 +1,125 @@ +// Code generated from kyber512/internal/vec.go by gen.go + +package internal + +import ( + "circl/pke/kyber/internal/common" +) + +// A vector of K polynomials +type Vec [K]common.Poly + +// Samples v[i] from the centered binomial distribution with p=½ and n=4 +// with the given seed and nonce+i. +func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { + for i := 0; i < K; i++ { + v[i].DeriveNoise(seed, nonce+uint8(i)) + } +} + +// Sets p to the inner product of a and b using "pointwise" multiplication. +// +// See MulHat() and NTT() for a description of the multiplication. +// Assumes a and b are in Montgomery form. p will be in Montgomery form, +// and its coefficients will be bounded in absolute value by kq. +// If a and b are not in Montgomery form, then the action is the same +// as "pointwise" multiplication followed by multiplying by R⁻¹, the inverse +// of the Montgomery factor. +func PolyDotHat(p *common.Poly, a, b *Vec) { + var t common.Poly + *p = common.Poly{} // set p to zero + for i := 0; i < K; i++ { + t.MulHat(&a[i], &b[i]) + p.Add(&t, p) + } +} + +// Almost normalizes coefficients in-place. +// +// Ensures each coefficient is in {0, …, q}. +func (v *Vec) BarrettReduce() { + for i := 0; i < K; i++ { + v[i].BarrettReduce() + } +} + +// Normalizes coefficients in-place. +// +// Ensures each coefficient is in {0, …, q-1}. +func (v *Vec) Normalize() { + for i := 0; i < K; i++ { + v[i].Normalize() + } +} + +// Applies in-place inverse NTT(). See Poly.InvNTT() for assumptions. +func (v *Vec) InvNTT() { + for i := 0; i < K; i++ { + v[i].InvNTT() + } +} + +// Applies in-place forward NTT(). See Poly.NTT() for assumptions. +func (v *Vec) NTT() { + for i := 0; i < K; i++ { + v[i].NTT() + } +} + +// Sets v to a + b. +func (v *Vec) Add(a, b *Vec) { + for i := 0; i < K; i++ { + v[i].Add(&a[i], &b[i]) + } +} + +// Packs v into buf, which must be of length K*PolySize. +func (v *Vec) Pack(buf []byte) { + for i := 0; i < K; i++ { + v[i].Pack(buf[common.PolySize*i:]) + } +} + +// Unpacks v from buf which must be of length K*PolySize. +func (v *Vec) Unpack(buf []byte) { + for i := 0; i < K; i++ { + v[i].Unpack(buf[common.PolySize*i:]) + } +} + +// Writes Compress_q(v, d) to m. +// +// Assumes v is normalized and d is in {3, 4, 5, 10, 11}. +func (v *Vec) CompressTo(m []byte, d int) { + size := compressedPolySize(d) + for i := 0; i < K; i++ { + v[i].CompressTo(m[size*i:], d) + } +} + +// Set v to Decompress_q(m, 1). +// +// Assumes d is in {3, 4, 5, 10, 11}. v will be normalized. +func (v *Vec) Decompress(m []byte, d int) { + size := compressedPolySize(d) + for i := 0; i < K; i++ { + v[i].Decompress(m[size*i:], d) + } +} + +// ⌈(256 d)/8⌉ +func compressedPolySize(d int) int { + switch d { + case 3: + return 96 + case 4: + return 128 + case 5: + return 160 + case 10: + return 320 + case 11: + return 352 + } + panic("unsupported d") +} diff --git a/src/circl/pke/kyber/kyber768/kyber.go b/src/circl/pke/kyber/kyber768/kyber.go new file mode 100644 index 00000000000..43736810e9a --- /dev/null +++ b/src/circl/pke/kyber/kyber768/kyber.go @@ -0,0 +1,145 @@ +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// kyber768 implements the IND-CPA-secure Public Key Encryption +// scheme Kyber768.CPAPKE as submitted to round2 of the NIST PQC competition +// and described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package kyber768 + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/pke/kyber/kyber768/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = internal.SeedSize + + // Size of seed for EncryptTo + EncryptionSeedSize = internal.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a ciphertext + CiphertextSize = internal.CiphertextSize + + // Size of a plaintext + PlaintextSize = internal.PlaintextSize +) + +// PublicKey is the type of Kyber768.CPAPKE public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of Kyber768.CPAPKE private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := internal.NewKeyFromSeed(seed[:]) + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// EncryptTo encrypts message pt for the public key and writes the ciphertext +// to ct using randomness from seed. +// +// This function panics if the lengths of pt, seed and ct are not +// PlaintextSize, EncryptionSeedSize and CiphertextSize respectively. +func (pk *PublicKey) EncryptTo(ct []byte, pt []byte, seed []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + if len(seed) != EncryptionSeedSize { + panic("seed must be of length EncryptionSeedSize") + } + (*internal.PublicKey)(pk).EncryptTo(ct, pt, seed) +} + +// DecryptTo decrypts message ct for the private key and writes the +// plaintext to pt. +// +// This function panics if the lengths of ct and pt are not +// CiphertextSize and PlaintextSize respectively. +func (sk *PrivateKey) DecryptTo(pt []byte, ct []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + (*internal.PrivateKey)(sk).DecryptTo(pt, ct) +} + +// Packs pk into the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs sk into the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Unpacks pk from the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Unpacks sk from the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Returns whether the two private keys are equal. +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(other)) +} diff --git a/src/circl/pke/kyber/templates/params.templ.go b/src/circl/pke/kyber/templates/params.templ.go new file mode 100644 index 00000000000..388ef70fdc1 --- /dev/null +++ b/src/circl/pke/kyber/templates/params.templ.go @@ -0,0 +1,24 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from params.templ.go. DO NOT EDIT. + +package internal + +import ( + "circl/pke/kyber/internal/common" +) + +const ( + K = {{ .K }} + DU = {{ .DU }} + DV = {{ .DV }} + PublicKeySize = 32 + K*common.PolySize + + PrivateKeySize = K * common.PolySize + + PlaintextSize = common.PlaintextSize + SeedSize = 32 + CiphertextSize = {{ .CiphertextSize }} +) diff --git a/src/circl/pke/kyber/templates/pkg.templ.go b/src/circl/pke/kyber/templates/pkg.templ.go new file mode 100644 index 00000000000..91610b5bbee --- /dev/null +++ b/src/circl/pke/kyber/templates/pkg.templ.go @@ -0,0 +1,149 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from modePkg.templ.go. DO NOT EDIT. + +// {{ .Pkg }} implements the IND-CPA-secure Public Key Encryption +// scheme {{ .Name }}.CPAPKE as submitted to round2 of the NIST PQC competition +// and described in +// +// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +package {{ .Pkg }} + +import ( + cryptoRand "crypto/rand" + "io" + + "circl/pke/kyber/{{ .Pkg }}/internal" +) + +const ( + // Size of seed for NewKeyFromSeed + KeySeedSize = internal.SeedSize + + // Size of seed for EncryptTo + EncryptionSeedSize = internal.SeedSize + + // Size of a packed PublicKey + PublicKeySize = internal.PublicKeySize + + // Size of a packed PrivateKey + PrivateKeySize = internal.PrivateKeySize + + // Size of a ciphertext + CiphertextSize = internal.CiphertextSize + + // Size of a plaintext + PlaintextSize = internal.PlaintextSize +) + +// PublicKey is the type of {{ .Name }}.CPAPKE public key +type PublicKey internal.PublicKey + +// PrivateKey is the type of {{ .Name }}.CPAPKE private key +type PrivateKey internal.PrivateKey + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { + var seed [KeySeedSize]byte + if rand == nil { + rand = cryptoRand.Reader + } + _, err := io.ReadFull(rand, seed[:]) + if err != nil { + return nil, nil, err + } + pk, sk := internal.NewKeyFromSeed(seed[:]) + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +// NewKeyFromSeed derives a public/private key pair using the given seed. +// +// Panics if seed is not of length KeySeedSize. +func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { + if len(seed) != KeySeedSize { + panic("seed must be of length KeySeedSize") + } + pk, sk := internal.NewKeyFromSeed(seed) + return (*PublicKey)(pk), (*PrivateKey)(sk) +} + +// EncryptTo encrypts message pt for the public key and writes the ciphertext +// to ct using randomness from seed. +// +// This function panics if the lengths of pt, seed and ct are not +// PlaintextSize, EncryptionSeedSize and CiphertextSize respectively. +func (pk *PublicKey) EncryptTo(ct []byte, pt []byte, seed []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + if len(seed) != EncryptionSeedSize { + panic("seed must be of length EncryptionSeedSize") + } + (*internal.PublicKey)(pk).EncryptTo(ct, pt, seed) +} + +// DecryptTo decrypts message ct for the private key and writes the +// plaintext to pt. +// +// This function panics if the lengths of ct and pt are not +// CiphertextSize and PlaintextSize respectively. +func (sk *PrivateKey) DecryptTo(pt []byte, ct []byte) { + if len(pt) != PlaintextSize { + panic("pt must be of length PlaintextSize") + } + if len(ct) != CiphertextSize { + panic("ct must be of length CiphertextSize") + } + (*internal.PrivateKey)(sk).DecryptTo(pt, ct) +} + +// Packs pk into the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Pack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Pack(buf) +} + +// Packs sk into the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Pack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Pack(buf) +} + +// Unpacks pk from the given buffer. +// +// Panics if buf is not of length PublicKeySize. +func (pk *PublicKey) Unpack(buf []byte) { + if len(buf) != PublicKeySize { + panic("buf must be of size PublicKeySize") + } + (*internal.PublicKey)(pk).Unpack(buf) +} + +// Unpacks sk from the given buffer. +// +// Panics if buf is not of length PrivateKeySize. +func (sk *PrivateKey) Unpack(buf []byte) { + if len(buf) != PrivateKeySize { + panic("buf must be of size PrivateKeySize") + } + (*internal.PrivateKey)(sk).Unpack(buf) +} + +// Returns whether the two private keys are equal. +func (sk *PrivateKey) Equal(other *PrivateKey) bool { + return (*internal.PrivateKey)(sk).Equal((*internal.PrivateKey)(other)) +} diff --git a/src/circl/sign/dilithium/internal/common/amd64.s b/src/circl/sign/dilithium/internal/common/amd64.s index e50e9e78fa9..24f2721e03b 100644 --- a/src/circl/sign/dilithium/internal/common/amd64.s +++ b/src/circl/sign/dilithium/internal/common/amd64.s @@ -7014,14 +7014,14 @@ TEXT ·addAVX2(SB), NOSPLIT, $0-24 VMOVDQU 160(DX), Y11 VMOVDQU 192(DX), Y13 VMOVDQU 224(DX), Y15 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 - VPADDQ Y8, Y9, Y9 - VPADDQ Y10, Y11, Y11 - VPADDQ Y12, Y13, Y13 - VPADDQ Y14, Y15, Y15 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 + VPADDD Y8, Y9, Y9 + VPADDD Y10, Y11, Y11 + VPADDD Y12, Y13, Y13 + VPADDD Y14, Y15, Y15 VMOVDQU Y1, (AX) VMOVDQU Y3, 32(AX) VMOVDQU Y5, 64(AX) @@ -7046,14 +7046,14 @@ TEXT ·addAVX2(SB), NOSPLIT, $0-24 VMOVDQU 416(DX), Y11 VMOVDQU 448(DX), Y13 VMOVDQU 480(DX), Y15 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 - VPADDQ Y8, Y9, Y9 - VPADDQ Y10, Y11, Y11 - VPADDQ Y12, Y13, Y13 - VPADDQ Y14, Y15, Y15 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 + VPADDD Y8, Y9, Y9 + VPADDD Y10, Y11, Y11 + VPADDD Y12, Y13, Y13 + VPADDD Y14, Y15, Y15 VMOVDQU Y1, 256(AX) VMOVDQU Y3, 288(AX) VMOVDQU Y5, 320(AX) @@ -7078,14 +7078,14 @@ TEXT ·addAVX2(SB), NOSPLIT, $0-24 VMOVDQU 672(DX), Y11 VMOVDQU 704(DX), Y13 VMOVDQU 736(DX), Y15 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 - VPADDQ Y8, Y9, Y9 - VPADDQ Y10, Y11, Y11 - VPADDQ Y12, Y13, Y13 - VPADDQ Y14, Y15, Y15 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 + VPADDD Y8, Y9, Y9 + VPADDD Y10, Y11, Y11 + VPADDD Y12, Y13, Y13 + VPADDD Y14, Y15, Y15 VMOVDQU Y1, 512(AX) VMOVDQU Y3, 544(AX) VMOVDQU Y5, 576(AX) @@ -7110,14 +7110,14 @@ TEXT ·addAVX2(SB), NOSPLIT, $0-24 VMOVDQU 928(DX), Y11 VMOVDQU 960(DX), Y13 VMOVDQU 992(DX), Y15 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 - VPADDQ Y8, Y9, Y9 - VPADDQ Y10, Y11, Y11 - VPADDQ Y12, Y13, Y13 - VPADDQ Y14, Y15, Y15 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 + VPADDD Y8, Y9, Y9 + VPADDD Y10, Y11, Y11 + VPADDD Y12, Y13, Y13 + VPADDD Y14, Y15, Y15 VMOVDQU Y1, 768(AX) VMOVDQU Y3, 800(AX) VMOVDQU Y5, 832(AX) @@ -7149,10 +7149,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, (AX) VMOVDQU Y3, 32(AX) VMOVDQU Y5, 64(AX) @@ -7169,10 +7169,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, 128(AX) VMOVDQU Y3, 160(AX) VMOVDQU Y5, 192(AX) @@ -7189,10 +7189,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, 256(AX) VMOVDQU Y3, 288(AX) VMOVDQU Y5, 320(AX) @@ -7209,10 +7209,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, 384(AX) VMOVDQU Y3, 416(AX) VMOVDQU Y5, 448(AX) @@ -7229,10 +7229,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, 512(AX) VMOVDQU Y3, 544(AX) VMOVDQU Y5, 576(AX) @@ -7249,10 +7249,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, 640(AX) VMOVDQU Y3, 672(AX) VMOVDQU Y5, 704(AX) @@ -7269,10 +7269,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, 768(AX) VMOVDQU Y3, 800(AX) VMOVDQU Y5, 832(AX) @@ -7289,10 +7289,10 @@ TEXT ·subAVX2(SB), NOSPLIT, $0-24 VPSUBD Y3, Y8, Y3 VPSUBD Y5, Y8, Y5 VPSUBD Y7, Y8, Y7 - VPADDQ Y0, Y1, Y1 - VPADDQ Y2, Y3, Y3 - VPADDQ Y4, Y5, Y5 - VPADDQ Y6, Y7, Y7 + VPADDD Y0, Y1, Y1 + VPADDD Y2, Y3, Y3 + VPADDD Y4, Y5, Y5 + VPADDD Y6, Y7, Y7 VMOVDQU Y1, 896(AX) VMOVDQU Y3, 928(AX) VMOVDQU Y5, 960(AX) diff --git a/src/circl/sign/dilithium/kat_test.go b/src/circl/sign/dilithium/kat_test.go index 0b19bd67c06..97d516b6d4c 100644 --- a/src/circl/sign/dilithium/kat_test.go +++ b/src/circl/sign/dilithium/kat_test.go @@ -4,69 +4,12 @@ package dilithium // See PQCsignKAT_sign.c and randombytes.c in the reference implementation. import ( - "crypto/aes" "crypto/sha256" "fmt" "testing" -) - -// See NIST's PQCgenKAT.c. -type DRBG struct { - key [32]byte - v [16]byte -} - -func (g *DRBG) incV() { - for j := 15; j >= 0; j-- { - if g.v[j] == 255 { - g.v[j] = 0 - } else { - g.v[j]++ - break - } - } -} - -// AES256_CTR_DRBG_Update(pd, &g.key, &g.v). -func (g *DRBG) update(pd *[48]byte) { - var buf [48]byte - b, _ := aes.NewCipher(g.key[:]) - for i := 0; i < 3; i++ { - g.incV() - b.Encrypt(buf[i*16:(i+1)*16], g.v[:]) - } - if pd != nil { - for i := 0; i < 48; i++ { - buf[i] ^= pd[i] - } - } - copy(g.key[:], buf[:32]) - copy(g.v[:], buf[32:]) -} - -// randombyte_init(seed, NULL, 256). -func NewDRBG(seed *[48]byte) (g DRBG) { - g.update(seed) - return -} -// randombytes. -func (g *DRBG) Fill(x []byte) { - var block [16]byte - - b, _ := aes.NewCipher(g.key[:]) - for len(x) > 0 { - g.incV() - b.Encrypt(block[:], g.v[:]) - if len(x) < 16 { - copy(x[:], block[:len(x)]) - break - } - copy(x[:], block[:]) - x = x[16:] - } - g.update(nil) -} + "circl/internal/nist" +) func TestPQCgenKATSign(t *testing.T) { // From SHA256SUMS in the reference implementation. @@ -92,7 +35,7 @@ func testPQCgenKATSign(t *testing.T, name, expected string) { seed[i] = byte(i) } f := sha256.New() - g := NewDRBG(&seed) + g := nist.NewDRBG(&seed) fmt.Fprintf(f, "# %s\n\n", name) for i := 0; i < 100; i++ { mlen := 33 * (i + 1) @@ -103,7 +46,7 @@ func testPQCgenKATSign(t *testing.T, name, expected string) { fmt.Fprintf(f, "seed = %X\n", seed) fmt.Fprintf(f, "mlen = %d\n", mlen) fmt.Fprintf(f, "msg = %X\n", msg) - g2 := NewDRBG(&seed) + g2 := nist.NewDRBG(&seed) g2.Fill(eseed[:]) pk, sk := mode.NewKeyFromExpandedSeed(&eseed) fmt.Fprintf(f, "pk = %X\n", pk.Bytes()) diff --git a/src/circl/sign/dilithium/mode1/internal/dilithium.go b/src/circl/sign/dilithium/mode1/internal/dilithium.go index 28b2b8f1362..5f8c214d824 100644 --- a/src/circl/sign/dilithium/mode1/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode1/internal/dilithium.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1/internal/dilithium_test.go b/src/circl/sign/dilithium/mode1/internal/dilithium_test.go index 52bf78d8c04..42ce6dbe5d1 100644 --- a/src/circl/sign/dilithium/mode1/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode1/internal/dilithium_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1/internal/mat.go b/src/circl/sign/dilithium/mode1/internal/mat.go index 8131a22b12c..a2411b0566d 100644 --- a/src/circl/sign/dilithium/mode1/internal/mat.go +++ b/src/circl/sign/dilithium/mode1/internal/mat.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/mat.go by gen.go + package internal import ( @@ -45,7 +47,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode1/internal/pack.go b/src/circl/sign/dilithium/mode1/internal/pack.go index 827717f25ad..ecf3971cd20 100644 --- a/src/circl/sign/dilithium/mode1/internal/pack.go +++ b/src/circl/sign/dilithium/mode1/internal/pack.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1/internal/pack_test.go b/src/circl/sign/dilithium/mode1/internal/pack_test.go index f7565b79a23..35bea5b6db3 100644 --- a/src/circl/sign/dilithium/mode1/internal/pack_test.go +++ b/src/circl/sign/dilithium/mode1/internal/pack_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1/internal/sample.go b/src/circl/sign/dilithium/mode1/internal/sample.go index cd14ee368f8..871e76bab00 100644 --- a/src/circl/sign/dilithium/mode1/internal/sample.go +++ b/src/circl/sign/dilithium/mode1/internal/sample.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1/internal/sample_test.go b/src/circl/sign/dilithium/mode1/internal/sample_test.go index 1e54642c785..f4f0a51c1c9 100644 --- a/src/circl/sign/dilithium/mode1/internal/sample_test.go +++ b/src/circl/sign/dilithium/mode1/internal/sample_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1/internal/vec.go b/src/circl/sign/dilithium/mode1/internal/vec.go index 177792c2754..a20a8b0224e 100644 --- a/src/circl/sign/dilithium/mode1/internal/vec.go +++ b/src/circl/sign/dilithium/mode1/internal/vec.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/vec.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1aes/internal/dilithium.go b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go index 28b2b8f1362..5f8c214d824 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go index 52bf78d8c04..42ce6dbe5d1 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode1aes/internal/dilithium_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1aes/internal/mat.go b/src/circl/sign/dilithium/mode1aes/internal/mat.go index 8131a22b12c..a2411b0566d 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/mat.go +++ b/src/circl/sign/dilithium/mode1aes/internal/mat.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/mat.go by gen.go + package internal import ( @@ -45,7 +47,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode1aes/internal/pack.go b/src/circl/sign/dilithium/mode1aes/internal/pack.go index 827717f25ad..ecf3971cd20 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/pack.go +++ b/src/circl/sign/dilithium/mode1aes/internal/pack.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1aes/internal/pack_test.go b/src/circl/sign/dilithium/mode1aes/internal/pack_test.go index f7565b79a23..35bea5b6db3 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/pack_test.go +++ b/src/circl/sign/dilithium/mode1aes/internal/pack_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1aes/internal/sample.go b/src/circl/sign/dilithium/mode1aes/internal/sample.go index cd14ee368f8..871e76bab00 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode1aes/internal/sample.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1aes/internal/sample_test.go b/src/circl/sign/dilithium/mode1aes/internal/sample_test.go index 1e54642c785..f4f0a51c1c9 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/sample_test.go +++ b/src/circl/sign/dilithium/mode1aes/internal/sample_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode1aes/internal/vec.go b/src/circl/sign/dilithium/mode1aes/internal/vec.go index 177792c2754..a20a8b0224e 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/vec.go +++ b/src/circl/sign/dilithium/mode1aes/internal/vec.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/vec.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2/internal/dilithium.go b/src/circl/sign/dilithium/mode2/internal/dilithium.go index 28b2b8f1362..5f8c214d824 100644 --- a/src/circl/sign/dilithium/mode2/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode2/internal/dilithium.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2/internal/dilithium_test.go b/src/circl/sign/dilithium/mode2/internal/dilithium_test.go index 52bf78d8c04..42ce6dbe5d1 100644 --- a/src/circl/sign/dilithium/mode2/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode2/internal/dilithium_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2/internal/mat.go b/src/circl/sign/dilithium/mode2/internal/mat.go index 8131a22b12c..a2411b0566d 100644 --- a/src/circl/sign/dilithium/mode2/internal/mat.go +++ b/src/circl/sign/dilithium/mode2/internal/mat.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/mat.go by gen.go + package internal import ( @@ -45,7 +47,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode2/internal/pack.go b/src/circl/sign/dilithium/mode2/internal/pack.go index 827717f25ad..ecf3971cd20 100644 --- a/src/circl/sign/dilithium/mode2/internal/pack.go +++ b/src/circl/sign/dilithium/mode2/internal/pack.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2/internal/pack_test.go b/src/circl/sign/dilithium/mode2/internal/pack_test.go index f7565b79a23..35bea5b6db3 100644 --- a/src/circl/sign/dilithium/mode2/internal/pack_test.go +++ b/src/circl/sign/dilithium/mode2/internal/pack_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2/internal/sample.go b/src/circl/sign/dilithium/mode2/internal/sample.go index cd14ee368f8..871e76bab00 100644 --- a/src/circl/sign/dilithium/mode2/internal/sample.go +++ b/src/circl/sign/dilithium/mode2/internal/sample.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2/internal/sample_test.go b/src/circl/sign/dilithium/mode2/internal/sample_test.go index 1e54642c785..f4f0a51c1c9 100644 --- a/src/circl/sign/dilithium/mode2/internal/sample_test.go +++ b/src/circl/sign/dilithium/mode2/internal/sample_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2/internal/vec.go b/src/circl/sign/dilithium/mode2/internal/vec.go index 177792c2754..a20a8b0224e 100644 --- a/src/circl/sign/dilithium/mode2/internal/vec.go +++ b/src/circl/sign/dilithium/mode2/internal/vec.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/vec.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2aes/internal/dilithium.go b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go index 28b2b8f1362..5f8c214d824 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go index 52bf78d8c04..42ce6dbe5d1 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode2aes/internal/dilithium_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2aes/internal/mat.go b/src/circl/sign/dilithium/mode2aes/internal/mat.go index 8131a22b12c..a2411b0566d 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/mat.go +++ b/src/circl/sign/dilithium/mode2aes/internal/mat.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/mat.go by gen.go + package internal import ( @@ -45,7 +47,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode2aes/internal/pack.go b/src/circl/sign/dilithium/mode2aes/internal/pack.go index 827717f25ad..ecf3971cd20 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/pack.go +++ b/src/circl/sign/dilithium/mode2aes/internal/pack.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2aes/internal/pack_test.go b/src/circl/sign/dilithium/mode2aes/internal/pack_test.go index f7565b79a23..35bea5b6db3 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/pack_test.go +++ b/src/circl/sign/dilithium/mode2aes/internal/pack_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2aes/internal/sample.go b/src/circl/sign/dilithium/mode2aes/internal/sample.go index cd14ee368f8..871e76bab00 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode2aes/internal/sample.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2aes/internal/sample_test.go b/src/circl/sign/dilithium/mode2aes/internal/sample_test.go index 1e54642c785..f4f0a51c1c9 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/sample_test.go +++ b/src/circl/sign/dilithium/mode2aes/internal/sample_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode2aes/internal/vec.go b/src/circl/sign/dilithium/mode2aes/internal/vec.go index 177792c2754..a20a8b0224e 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/vec.go +++ b/src/circl/sign/dilithium/mode2aes/internal/vec.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/vec.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode3/internal/mat.go b/src/circl/sign/dilithium/mode3/internal/mat.go index 8131a22b12c..aa839097fab 100644 --- a/src/circl/sign/dilithium/mode3/internal/mat.go +++ b/src/circl/sign/dilithium/mode3/internal/mat.go @@ -45,7 +45,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode3aes/internal/dilithium.go b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go index 28b2b8f1362..5f8c214d824 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go index 52bf78d8c04..42ce6dbe5d1 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode3aes/internal/dilithium_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode3aes/internal/mat.go b/src/circl/sign/dilithium/mode3aes/internal/mat.go index 8131a22b12c..a2411b0566d 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/mat.go +++ b/src/circl/sign/dilithium/mode3aes/internal/mat.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/mat.go by gen.go + package internal import ( @@ -45,7 +47,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode3aes/internal/pack.go b/src/circl/sign/dilithium/mode3aes/internal/pack.go index 827717f25ad..ecf3971cd20 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/pack.go +++ b/src/circl/sign/dilithium/mode3aes/internal/pack.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode3aes/internal/pack_test.go b/src/circl/sign/dilithium/mode3aes/internal/pack_test.go index f7565b79a23..35bea5b6db3 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/pack_test.go +++ b/src/circl/sign/dilithium/mode3aes/internal/pack_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode3aes/internal/sample.go b/src/circl/sign/dilithium/mode3aes/internal/sample.go index cd14ee368f8..871e76bab00 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode3aes/internal/sample.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode3aes/internal/sample_test.go b/src/circl/sign/dilithium/mode3aes/internal/sample_test.go index 1e54642c785..f4f0a51c1c9 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/sample_test.go +++ b/src/circl/sign/dilithium/mode3aes/internal/sample_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode3aes/internal/vec.go b/src/circl/sign/dilithium/mode3aes/internal/vec.go index 177792c2754..a20a8b0224e 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/vec.go +++ b/src/circl/sign/dilithium/mode3aes/internal/vec.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/vec.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4/internal/dilithium.go b/src/circl/sign/dilithium/mode4/internal/dilithium.go index 28b2b8f1362..5f8c214d824 100644 --- a/src/circl/sign/dilithium/mode4/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode4/internal/dilithium.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4/internal/dilithium_test.go b/src/circl/sign/dilithium/mode4/internal/dilithium_test.go index 52bf78d8c04..42ce6dbe5d1 100644 --- a/src/circl/sign/dilithium/mode4/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode4/internal/dilithium_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4/internal/mat.go b/src/circl/sign/dilithium/mode4/internal/mat.go index 8131a22b12c..a2411b0566d 100644 --- a/src/circl/sign/dilithium/mode4/internal/mat.go +++ b/src/circl/sign/dilithium/mode4/internal/mat.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/mat.go by gen.go + package internal import ( @@ -45,7 +47,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode4/internal/pack.go b/src/circl/sign/dilithium/mode4/internal/pack.go index 827717f25ad..ecf3971cd20 100644 --- a/src/circl/sign/dilithium/mode4/internal/pack.go +++ b/src/circl/sign/dilithium/mode4/internal/pack.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4/internal/pack_test.go b/src/circl/sign/dilithium/mode4/internal/pack_test.go index f7565b79a23..35bea5b6db3 100644 --- a/src/circl/sign/dilithium/mode4/internal/pack_test.go +++ b/src/circl/sign/dilithium/mode4/internal/pack_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4/internal/sample.go b/src/circl/sign/dilithium/mode4/internal/sample.go index cd14ee368f8..871e76bab00 100644 --- a/src/circl/sign/dilithium/mode4/internal/sample.go +++ b/src/circl/sign/dilithium/mode4/internal/sample.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4/internal/sample_test.go b/src/circl/sign/dilithium/mode4/internal/sample_test.go index 1e54642c785..f4f0a51c1c9 100644 --- a/src/circl/sign/dilithium/mode4/internal/sample_test.go +++ b/src/circl/sign/dilithium/mode4/internal/sample_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4/internal/vec.go b/src/circl/sign/dilithium/mode4/internal/vec.go index 177792c2754..a20a8b0224e 100644 --- a/src/circl/sign/dilithium/mode4/internal/vec.go +++ b/src/circl/sign/dilithium/mode4/internal/vec.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/vec.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4aes/internal/dilithium.go b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go index 28b2b8f1362..5f8c214d824 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go b/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go index 52bf78d8c04..42ce6dbe5d1 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go +++ b/src/circl/sign/dilithium/mode4aes/internal/dilithium_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/dilithium_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4aes/internal/mat.go b/src/circl/sign/dilithium/mode4aes/internal/mat.go index 8131a22b12c..a2411b0566d 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/mat.go +++ b/src/circl/sign/dilithium/mode4aes/internal/mat.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/mat.go by gen.go + package internal import ( @@ -45,7 +47,7 @@ func (m *Mat) Derive(seed *[32]byte) { // Set p to the inner product of a and b using pointwise multiplication. // // Assumes a and b are in Montgomery form and their coefficients are -// pairwise sufficiently small to add, see Poly.MulHat(). Resulting +// pairwise sufficiently small to multiply, see Poly.MulHat(). Resulting // coefficients are bounded by 2Lq. func PolyDotHat(p *common.Poly, a, b *VecL) { var t common.Poly diff --git a/src/circl/sign/dilithium/mode4aes/internal/pack.go b/src/circl/sign/dilithium/mode4aes/internal/pack.go index 827717f25ad..ecf3971cd20 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/pack.go +++ b/src/circl/sign/dilithium/mode4aes/internal/pack.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4aes/internal/pack_test.go b/src/circl/sign/dilithium/mode4aes/internal/pack_test.go index f7565b79a23..35bea5b6db3 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/pack_test.go +++ b/src/circl/sign/dilithium/mode4aes/internal/pack_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/pack_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4aes/internal/sample.go b/src/circl/sign/dilithium/mode4aes/internal/sample.go index cd14ee368f8..871e76bab00 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode4aes/internal/sample.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4aes/internal/sample_test.go b/src/circl/sign/dilithium/mode4aes/internal/sample_test.go index 1e54642c785..f4f0a51c1c9 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/sample_test.go +++ b/src/circl/sign/dilithium/mode4aes/internal/sample_test.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/sample_test.go by gen.go + package internal import ( diff --git a/src/circl/sign/dilithium/mode4aes/internal/vec.go b/src/circl/sign/dilithium/mode4aes/internal/vec.go index 177792c2754..a20a8b0224e 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/vec.go +++ b/src/circl/sign/dilithium/mode4aes/internal/vec.go @@ -1,3 +1,5 @@ +// Code generated from mode3/internal/vec.go by gen.go + package internal import ( diff --git a/src/go/build/deps_test.go b/src/go/build/deps_test.go index 52ed1a0a6bf..339217d9efb 100644 --- a/src/go/build/deps_test.go +++ b/src/go/build/deps_test.go @@ -404,6 +404,8 @@ var depsRules = ` < crypto/ecdsa < CRYPTO-MATH; + CRYPTO < golang.org/x/crypto/sha3; + CGO, net !< CRYPTO-MATH; # TLS, Prince of Dependencies. diff --git a/src/vendor/golang.org/x/crypto/sha3/doc.go b/src/vendor/golang.org/x/crypto/sha3/doc.go new file mode 100644 index 00000000000..c2fef30afff --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/doc.go @@ -0,0 +1,66 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package sha3 implements the SHA-3 fixed-output-length hash functions and +// the SHAKE variable-output-length hash functions defined by FIPS-202. +// +// Both types of hash function use the "sponge" construction and the Keccak +// permutation. For a detailed specification see http://keccak.noekeon.org/ +// +// +// Guidance +// +// If you aren't sure what function you need, use SHAKE256 with at least 64 +// bytes of output. The SHAKE instances are faster than the SHA3 instances; +// the latter have to allocate memory to conform to the hash.Hash interface. +// +// If you need a secret-key MAC (message authentication code), prepend the +// secret key to the input, hash with SHAKE256 and read at least 32 bytes of +// output. +// +// +// Security strengths +// +// The SHA3-x (x equals 224, 256, 384, or 512) functions have a security +// strength against preimage attacks of x bits. Since they only produce "x" +// bits of output, their collision-resistance is only "x/2" bits. +// +// The SHAKE-256 and -128 functions have a generic security strength of 256 and +// 128 bits against all attacks, provided that at least 2x bits of their output +// is used. Requesting more than 64 or 32 bytes of output, respectively, does +// not increase the collision-resistance of the SHAKE functions. +// +// +// The sponge construction +// +// A sponge builds a pseudo-random function from a public pseudo-random +// permutation, by applying the permutation to a state of "rate + capacity" +// bytes, but hiding "capacity" of the bytes. +// +// A sponge starts out with a zero state. To hash an input using a sponge, up +// to "rate" bytes of the input are XORed into the sponge's state. The sponge +// is then "full" and the permutation is applied to "empty" it. This process is +// repeated until all the input has been "absorbed". The input is then padded. +// The digest is "squeezed" from the sponge in the same way, except that output +// is copied out instead of input being XORed in. +// +// A sponge is parameterized by its generic security strength, which is equal +// to half its capacity; capacity + rate is equal to the permutation's width. +// Since the KeccakF-1600 permutation is 1600 bits (200 bytes) wide, this means +// that the security strength of a sponge instance is equal to (1600 - bitrate) / 2. +// +// +// Recommendations +// +// The SHAKE functions are recommended for most new uses. They can produce +// output of arbitrary length. SHAKE256, with an output length of at least +// 64 bytes, provides 256-bit security against all attacks. The Keccak team +// recommends it for most applications upgrading from SHA2-512. (NIST chose a +// much stronger, but much slower, sponge instance for SHA3-512.) +// +// The SHA-3 functions are "drop-in" replacements for the SHA-2 functions. +// They produce output of the same length, with the same security strengths +// against all attacks. This means, in particular, that SHA3-256 only has +// 128-bit collision resistance, because its output length is 32 bytes. +package sha3 // import "golang.org/x/crypto/sha3" diff --git a/src/vendor/golang.org/x/crypto/sha3/hashes.go b/src/vendor/golang.org/x/crypto/sha3/hashes.go new file mode 100644 index 00000000000..0d8043fd2a1 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/hashes.go @@ -0,0 +1,97 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file provides functions for creating instances of the SHA-3 +// and SHAKE hash functions, as well as utility functions for hashing +// bytes. + +import ( + "hash" +) + +// New224 creates a new SHA3-224 hash. +// Its generic security strength is 224 bits against preimage attacks, +// and 112 bits against collision attacks. +func New224() hash.Hash { + if h := new224Asm(); h != nil { + return h + } + return &state{rate: 144, outputLen: 28, dsbyte: 0x06} +} + +// New256 creates a new SHA3-256 hash. +// Its generic security strength is 256 bits against preimage attacks, +// and 128 bits against collision attacks. +func New256() hash.Hash { + if h := new256Asm(); h != nil { + return h + } + return &state{rate: 136, outputLen: 32, dsbyte: 0x06} +} + +// New384 creates a new SHA3-384 hash. +// Its generic security strength is 384 bits against preimage attacks, +// and 192 bits against collision attacks. +func New384() hash.Hash { + if h := new384Asm(); h != nil { + return h + } + return &state{rate: 104, outputLen: 48, dsbyte: 0x06} +} + +// New512 creates a new SHA3-512 hash. +// Its generic security strength is 512 bits against preimage attacks, +// and 256 bits against collision attacks. +func New512() hash.Hash { + if h := new512Asm(); h != nil { + return h + } + return &state{rate: 72, outputLen: 64, dsbyte: 0x06} +} + +// NewLegacyKeccak256 creates a new Keccak-256 hash. +// +// Only use this function if you require compatibility with an existing cryptosystem +// that uses non-standard padding. All other users should use New256 instead. +func NewLegacyKeccak256() hash.Hash { return &state{rate: 136, outputLen: 32, dsbyte: 0x01} } + +// NewLegacyKeccak512 creates a new Keccak-512 hash. +// +// Only use this function if you require compatibility with an existing cryptosystem +// that uses non-standard padding. All other users should use New512 instead. +func NewLegacyKeccak512() hash.Hash { return &state{rate: 72, outputLen: 64, dsbyte: 0x01} } + +// Sum224 returns the SHA3-224 digest of the data. +func Sum224(data []byte) (digest [28]byte) { + h := New224() + h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum256 returns the SHA3-256 digest of the data. +func Sum256(data []byte) (digest [32]byte) { + h := New256() + h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum384 returns the SHA3-384 digest of the data. +func Sum384(data []byte) (digest [48]byte) { + h := New384() + h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum512 returns the SHA3-512 digest of the data. +func Sum512(data []byte) (digest [64]byte) { + h := New512() + h.Write(data) + h.Sum(digest[:0]) + return +} diff --git a/src/vendor/golang.org/x/crypto/sha3/hashes_generic.go b/src/vendor/golang.org/x/crypto/sha3/hashes_generic.go new file mode 100644 index 00000000000..f455147d212 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/hashes_generic.go @@ -0,0 +1,27 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build gccgo appengine !s390x + +package sha3 + +import ( + "hash" +) + +// new224Asm returns an assembly implementation of SHA3-224 if available, +// otherwise it returns nil. +func new224Asm() hash.Hash { return nil } + +// new256Asm returns an assembly implementation of SHA3-256 if available, +// otherwise it returns nil. +func new256Asm() hash.Hash { return nil } + +// new384Asm returns an assembly implementation of SHA3-384 if available, +// otherwise it returns nil. +func new384Asm() hash.Hash { return nil } + +// new512Asm returns an assembly implementation of SHA3-512 if available, +// otherwise it returns nil. +func new512Asm() hash.Hash { return nil } diff --git a/src/vendor/golang.org/x/crypto/sha3/keccakf.go b/src/vendor/golang.org/x/crypto/sha3/keccakf.go new file mode 100644 index 00000000000..46d03ed385d --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/keccakf.go @@ -0,0 +1,412 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !amd64 appengine gccgo + +package sha3 + +// rc stores the round constants for use in the ι step. +var rc = [24]uint64{ + 0x0000000000000001, + 0x0000000000008082, + 0x800000000000808A, + 0x8000000080008000, + 0x000000000000808B, + 0x0000000080000001, + 0x8000000080008081, + 0x8000000000008009, + 0x000000000000008A, + 0x0000000000000088, + 0x0000000080008009, + 0x000000008000000A, + 0x000000008000808B, + 0x800000000000008B, + 0x8000000000008089, + 0x8000000000008003, + 0x8000000000008002, + 0x8000000000000080, + 0x000000000000800A, + 0x800000008000000A, + 0x8000000080008081, + 0x8000000000008080, + 0x0000000080000001, + 0x8000000080008008, +} + +// keccakF1600 applies the Keccak permutation to a 1600b-wide +// state represented as a slice of 25 uint64s. +func keccakF1600(a *[25]uint64) { + // Implementation translated from Keccak-inplace.c + // in the keccak reference code. + var t, bc0, bc1, bc2, bc3, bc4, d0, d1, d2, d3, d4 uint64 + + for i := 0; i < 24; i += 4 { + // Combines the 5 steps in each round into 2 steps. + // Unrolls 4 rounds per loop and spreads some steps across rounds. + + // Round 1 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[6] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[12] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[18] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[24] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i] + a[6] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[16] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[22] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[3] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[10] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[1] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[7] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[19] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[20] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[11] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[23] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[4] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[5] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[2] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[8] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[14] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[15] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + // Round 2 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[16] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[7] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[23] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[14] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+1] + a[16] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[11] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[2] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[18] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[20] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[6] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[22] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[4] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[15] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[1] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[8] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[24] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[10] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[12] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[3] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[19] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[5] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + // Round 3 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[11] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[22] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[8] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[19] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+2] + a[11] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[1] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[12] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[23] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[15] = bc0 ^ (bc2 &^ bc1) + a[1] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[16] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[2] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[24] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[5] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[6] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[3] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[14] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[20] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[7] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[18] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[4] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[10] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + // Round 4 + bc0 = a[0] ^ a[5] ^ a[10] ^ a[15] ^ a[20] + bc1 = a[1] ^ a[6] ^ a[11] ^ a[16] ^ a[21] + bc2 = a[2] ^ a[7] ^ a[12] ^ a[17] ^ a[22] + bc3 = a[3] ^ a[8] ^ a[13] ^ a[18] ^ a[23] + bc4 = a[4] ^ a[9] ^ a[14] ^ a[19] ^ a[24] + d0 = bc4 ^ (bc1<<1 | bc1>>63) + d1 = bc0 ^ (bc2<<1 | bc2>>63) + d2 = bc1 ^ (bc3<<1 | bc3>>63) + d3 = bc2 ^ (bc4<<1 | bc4>>63) + d4 = bc3 ^ (bc0<<1 | bc0>>63) + + bc0 = a[0] ^ d0 + t = a[1] ^ d1 + bc1 = t<<44 | t>>(64-44) + t = a[2] ^ d2 + bc2 = t<<43 | t>>(64-43) + t = a[3] ^ d3 + bc3 = t<<21 | t>>(64-21) + t = a[4] ^ d4 + bc4 = t<<14 | t>>(64-14) + a[0] = bc0 ^ (bc2 &^ bc1) ^ rc[i+3] + a[1] = bc1 ^ (bc3 &^ bc2) + a[2] = bc2 ^ (bc4 &^ bc3) + a[3] = bc3 ^ (bc0 &^ bc4) + a[4] = bc4 ^ (bc1 &^ bc0) + + t = a[5] ^ d0 + bc2 = t<<3 | t>>(64-3) + t = a[6] ^ d1 + bc3 = t<<45 | t>>(64-45) + t = a[7] ^ d2 + bc4 = t<<61 | t>>(64-61) + t = a[8] ^ d3 + bc0 = t<<28 | t>>(64-28) + t = a[9] ^ d4 + bc1 = t<<20 | t>>(64-20) + a[5] = bc0 ^ (bc2 &^ bc1) + a[6] = bc1 ^ (bc3 &^ bc2) + a[7] = bc2 ^ (bc4 &^ bc3) + a[8] = bc3 ^ (bc0 &^ bc4) + a[9] = bc4 ^ (bc1 &^ bc0) + + t = a[10] ^ d0 + bc4 = t<<18 | t>>(64-18) + t = a[11] ^ d1 + bc0 = t<<1 | t>>(64-1) + t = a[12] ^ d2 + bc1 = t<<6 | t>>(64-6) + t = a[13] ^ d3 + bc2 = t<<25 | t>>(64-25) + t = a[14] ^ d4 + bc3 = t<<8 | t>>(64-8) + a[10] = bc0 ^ (bc2 &^ bc1) + a[11] = bc1 ^ (bc3 &^ bc2) + a[12] = bc2 ^ (bc4 &^ bc3) + a[13] = bc3 ^ (bc0 &^ bc4) + a[14] = bc4 ^ (bc1 &^ bc0) + + t = a[15] ^ d0 + bc1 = t<<36 | t>>(64-36) + t = a[16] ^ d1 + bc2 = t<<10 | t>>(64-10) + t = a[17] ^ d2 + bc3 = t<<15 | t>>(64-15) + t = a[18] ^ d3 + bc4 = t<<56 | t>>(64-56) + t = a[19] ^ d4 + bc0 = t<<27 | t>>(64-27) + a[15] = bc0 ^ (bc2 &^ bc1) + a[16] = bc1 ^ (bc3 &^ bc2) + a[17] = bc2 ^ (bc4 &^ bc3) + a[18] = bc3 ^ (bc0 &^ bc4) + a[19] = bc4 ^ (bc1 &^ bc0) + + t = a[20] ^ d0 + bc3 = t<<41 | t>>(64-41) + t = a[21] ^ d1 + bc4 = t<<2 | t>>(64-2) + t = a[22] ^ d2 + bc0 = t<<62 | t>>(64-62) + t = a[23] ^ d3 + bc1 = t<<55 | t>>(64-55) + t = a[24] ^ d4 + bc2 = t<<39 | t>>(64-39) + a[20] = bc0 ^ (bc2 &^ bc1) + a[21] = bc1 ^ (bc3 &^ bc2) + a[22] = bc2 ^ (bc4 &^ bc3) + a[23] = bc3 ^ (bc0 &^ bc4) + a[24] = bc4 ^ (bc1 &^ bc0) + } +} diff --git a/src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.go b/src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.go new file mode 100644 index 00000000000..78867958502 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.go @@ -0,0 +1,13 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64,!appengine,!gccgo + +package sha3 + +// This function is implemented in keccakf_amd64.s. + +//go:noescape + +func keccakF1600(a *[25]uint64) diff --git a/src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.s b/src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.s new file mode 100644 index 00000000000..d9819089f53 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/keccakf_amd64.s @@ -0,0 +1,390 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64,!appengine,!gccgo + +// This code was translated into a form compatible with 6a from the public +// domain sources at https://github.com/gvanas/KeccakCodePackage + +// Offsets in state +#define _ba (0*8) +#define _be (1*8) +#define _bi (2*8) +#define _bo (3*8) +#define _bu (4*8) +#define _ga (5*8) +#define _ge (6*8) +#define _gi (7*8) +#define _go (8*8) +#define _gu (9*8) +#define _ka (10*8) +#define _ke (11*8) +#define _ki (12*8) +#define _ko (13*8) +#define _ku (14*8) +#define _ma (15*8) +#define _me (16*8) +#define _mi (17*8) +#define _mo (18*8) +#define _mu (19*8) +#define _sa (20*8) +#define _se (21*8) +#define _si (22*8) +#define _so (23*8) +#define _su (24*8) + +// Temporary registers +#define rT1 AX + +// Round vars +#define rpState DI +#define rpStack SP + +#define rDa BX +#define rDe CX +#define rDi DX +#define rDo R8 +#define rDu R9 + +#define rBa R10 +#define rBe R11 +#define rBi R12 +#define rBo R13 +#define rBu R14 + +#define rCa SI +#define rCe BP +#define rCi rBi +#define rCo rBo +#define rCu R15 + +#define MOVQ_RBI_RCE MOVQ rBi, rCe +#define XORQ_RT1_RCA XORQ rT1, rCa +#define XORQ_RT1_RCE XORQ rT1, rCe +#define XORQ_RBA_RCU XORQ rBa, rCu +#define XORQ_RBE_RCU XORQ rBe, rCu +#define XORQ_RDU_RCU XORQ rDu, rCu +#define XORQ_RDA_RCA XORQ rDa, rCa +#define XORQ_RDE_RCE XORQ rDe, rCe + +#define mKeccakRound(iState, oState, rc, B_RBI_RCE, G_RT1_RCA, G_RT1_RCE, G_RBA_RCU, K_RT1_RCA, K_RT1_RCE, K_RBA_RCU, M_RT1_RCA, M_RT1_RCE, M_RBE_RCU, S_RDU_RCU, S_RDA_RCA, S_RDE_RCE) \ + /* Prepare round */ \ + MOVQ rCe, rDa; \ + ROLQ $1, rDa; \ + \ + MOVQ _bi(iState), rCi; \ + XORQ _gi(iState), rDi; \ + XORQ rCu, rDa; \ + XORQ _ki(iState), rCi; \ + XORQ _mi(iState), rDi; \ + XORQ rDi, rCi; \ + \ + MOVQ rCi, rDe; \ + ROLQ $1, rDe; \ + \ + MOVQ _bo(iState), rCo; \ + XORQ _go(iState), rDo; \ + XORQ rCa, rDe; \ + XORQ _ko(iState), rCo; \ + XORQ _mo(iState), rDo; \ + XORQ rDo, rCo; \ + \ + MOVQ rCo, rDi; \ + ROLQ $1, rDi; \ + \ + MOVQ rCu, rDo; \ + XORQ rCe, rDi; \ + ROLQ $1, rDo; \ + \ + MOVQ rCa, rDu; \ + XORQ rCi, rDo; \ + ROLQ $1, rDu; \ + \ + /* Result b */ \ + MOVQ _ba(iState), rBa; \ + MOVQ _ge(iState), rBe; \ + XORQ rCo, rDu; \ + MOVQ _ki(iState), rBi; \ + MOVQ _mo(iState), rBo; \ + MOVQ _su(iState), rBu; \ + XORQ rDe, rBe; \ + ROLQ $44, rBe; \ + XORQ rDi, rBi; \ + XORQ rDa, rBa; \ + ROLQ $43, rBi; \ + \ + MOVQ rBe, rCa; \ + MOVQ rc, rT1; \ + ORQ rBi, rCa; \ + XORQ rBa, rT1; \ + XORQ rT1, rCa; \ + MOVQ rCa, _ba(oState); \ + \ + XORQ rDu, rBu; \ + ROLQ $14, rBu; \ + MOVQ rBa, rCu; \ + ANDQ rBe, rCu; \ + XORQ rBu, rCu; \ + MOVQ rCu, _bu(oState); \ + \ + XORQ rDo, rBo; \ + ROLQ $21, rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _bi(oState); \ + \ + NOTQ rBi; \ + ORQ rBa, rBu; \ + ORQ rBo, rBi; \ + XORQ rBo, rBu; \ + XORQ rBe, rBi; \ + MOVQ rBu, _bo(oState); \ + MOVQ rBi, _be(oState); \ + B_RBI_RCE; \ + \ + /* Result g */ \ + MOVQ _gu(iState), rBe; \ + XORQ rDu, rBe; \ + MOVQ _ka(iState), rBi; \ + ROLQ $20, rBe; \ + XORQ rDa, rBi; \ + ROLQ $3, rBi; \ + MOVQ _bo(iState), rBa; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDo, rBa; \ + MOVQ _me(iState), rBo; \ + MOVQ _si(iState), rBu; \ + ROLQ $28, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ga(oState); \ + G_RT1_RCA; \ + \ + XORQ rDe, rBo; \ + ROLQ $45, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ge(oState); \ + G_RT1_RCE; \ + \ + XORQ rDi, rBu; \ + ROLQ $61, rBu; \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _go(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _gu(oState); \ + NOTQ rBu; \ + G_RBA_RCU; \ + \ + ORQ rBu, rBo; \ + XORQ rBi, rBo; \ + MOVQ rBo, _gi(oState); \ + \ + /* Result k */ \ + MOVQ _be(iState), rBa; \ + MOVQ _gi(iState), rBe; \ + MOVQ _ko(iState), rBi; \ + MOVQ _mu(iState), rBo; \ + MOVQ _sa(iState), rBu; \ + XORQ rDi, rBe; \ + ROLQ $6, rBe; \ + XORQ rDo, rBi; \ + ROLQ $25, rBi; \ + MOVQ rBe, rT1; \ + ORQ rBi, rT1; \ + XORQ rDe, rBa; \ + ROLQ $1, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ka(oState); \ + K_RT1_RCA; \ + \ + XORQ rDu, rBo; \ + ROLQ $8, rBo; \ + MOVQ rBi, rT1; \ + ANDQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _ke(oState); \ + K_RT1_RCE; \ + \ + XORQ rDa, rBu; \ + ROLQ $18, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ANDQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _ki(oState); \ + \ + MOVQ rBu, rT1; \ + ORQ rBa, rT1; \ + XORQ rBo, rT1; \ + MOVQ rT1, _ko(oState); \ + \ + ANDQ rBe, rBa; \ + XORQ rBu, rBa; \ + MOVQ rBa, _ku(oState); \ + K_RBA_RCU; \ + \ + /* Result m */ \ + MOVQ _ga(iState), rBe; \ + XORQ rDa, rBe; \ + MOVQ _ke(iState), rBi; \ + ROLQ $36, rBe; \ + XORQ rDe, rBi; \ + MOVQ _bu(iState), rBa; \ + ROLQ $10, rBi; \ + MOVQ rBe, rT1; \ + MOVQ _mi(iState), rBo; \ + ANDQ rBi, rT1; \ + XORQ rDu, rBa; \ + MOVQ _so(iState), rBu; \ + ROLQ $27, rBa; \ + XORQ rBa, rT1; \ + MOVQ rT1, _ma(oState); \ + M_RT1_RCA; \ + \ + XORQ rDi, rBo; \ + ROLQ $15, rBo; \ + MOVQ rBi, rT1; \ + ORQ rBo, rT1; \ + XORQ rBe, rT1; \ + MOVQ rT1, _me(oState); \ + M_RT1_RCE; \ + \ + XORQ rDo, rBu; \ + ROLQ $56, rBu; \ + NOTQ rBo; \ + MOVQ rBo, rT1; \ + ORQ rBu, rT1; \ + XORQ rBi, rT1; \ + MOVQ rT1, _mi(oState); \ + \ + ORQ rBa, rBe; \ + XORQ rBu, rBe; \ + MOVQ rBe, _mu(oState); \ + \ + ANDQ rBa, rBu; \ + XORQ rBo, rBu; \ + MOVQ rBu, _mo(oState); \ + M_RBE_RCU; \ + \ + /* Result s */ \ + MOVQ _bi(iState), rBa; \ + MOVQ _go(iState), rBe; \ + MOVQ _ku(iState), rBi; \ + XORQ rDi, rBa; \ + MOVQ _ma(iState), rBo; \ + ROLQ $62, rBa; \ + XORQ rDo, rBe; \ + MOVQ _se(iState), rBu; \ + ROLQ $55, rBe; \ + \ + XORQ rDu, rBi; \ + MOVQ rBa, rDu; \ + XORQ rDe, rBu; \ + ROLQ $2, rBu; \ + ANDQ rBe, rDu; \ + XORQ rBu, rDu; \ + MOVQ rDu, _su(oState); \ + \ + ROLQ $39, rBi; \ + S_RDU_RCU; \ + NOTQ rBe; \ + XORQ rDa, rBo; \ + MOVQ rBe, rDa; \ + ANDQ rBi, rDa; \ + XORQ rBa, rDa; \ + MOVQ rDa, _sa(oState); \ + S_RDA_RCA; \ + \ + ROLQ $41, rBo; \ + MOVQ rBi, rDe; \ + ORQ rBo, rDe; \ + XORQ rBe, rDe; \ + MOVQ rDe, _se(oState); \ + S_RDE_RCE; \ + \ + MOVQ rBo, rDi; \ + MOVQ rBu, rDo; \ + ANDQ rBu, rDi; \ + ORQ rBa, rDo; \ + XORQ rBi, rDi; \ + XORQ rBo, rDo; \ + MOVQ rDi, _si(oState); \ + MOVQ rDo, _so(oState) \ + +// func keccakF1600(a *[25]uint64) +TEXT ·keccakF1600(SB), 0, $200-8 + MOVQ a+0(FP), rpState + + // Convert the user state into an internal state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + // Execute the KeccakF permutation + MOVQ _ba(rpState), rCa + MOVQ _be(rpState), rCe + MOVQ _bu(rpState), rCu + + XORQ _ga(rpState), rCa + XORQ _ge(rpState), rCe + XORQ _gu(rpState), rCu + + XORQ _ka(rpState), rCa + XORQ _ke(rpState), rCe + XORQ _ku(rpState), rCu + + XORQ _ma(rpState), rCa + XORQ _me(rpState), rCe + XORQ _mu(rpState), rCu + + XORQ _sa(rpState), rCa + XORQ _se(rpState), rCe + MOVQ _si(rpState), rDi + MOVQ _so(rpState), rDo + XORQ _su(rpState), rCu + + mKeccakRound(rpState, rpStack, $0x0000000000000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000008082, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x800000000000808a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008000, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000008a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x0000000000000088, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080008009, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x000000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000008000808b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000000000008b, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008089, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008003, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000000008002, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000000080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x000000000000800a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x800000008000000a, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x8000000080008081, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000000008080, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpState, rpStack, $0x0000000080000001, MOVQ_RBI_RCE, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBA_RCU, XORQ_RT1_RCA, XORQ_RT1_RCE, XORQ_RBE_RCU, XORQ_RDU_RCU, XORQ_RDA_RCA, XORQ_RDE_RCE) + mKeccakRound(rpStack, rpState, $0x8000000080008008, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP, NOP) + + // Revert the internal state to the user state + NOTQ _be(rpState) + NOTQ _bi(rpState) + NOTQ _go(rpState) + NOTQ _ki(rpState) + NOTQ _mi(rpState) + NOTQ _sa(rpState) + + RET diff --git a/src/vendor/golang.org/x/crypto/sha3/register.go b/src/vendor/golang.org/x/crypto/sha3/register.go new file mode 100644 index 00000000000..3cf6a22e093 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/register.go @@ -0,0 +1,18 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build go1.4 + +package sha3 + +import ( + "crypto" +) + +func init() { + crypto.RegisterHash(crypto.SHA3_224, New224) + crypto.RegisterHash(crypto.SHA3_256, New256) + crypto.RegisterHash(crypto.SHA3_384, New384) + crypto.RegisterHash(crypto.SHA3_512, New512) +} diff --git a/src/vendor/golang.org/x/crypto/sha3/sha3.go b/src/vendor/golang.org/x/crypto/sha3/sha3.go new file mode 100644 index 00000000000..ba269a07300 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/sha3.go @@ -0,0 +1,193 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// spongeDirection indicates the direction bytes are flowing through the sponge. +type spongeDirection int + +const ( + // spongeAbsorbing indicates that the sponge is absorbing input. + spongeAbsorbing spongeDirection = iota + // spongeSqueezing indicates that the sponge is being squeezed. + spongeSqueezing +) + +const ( + // maxRate is the maximum size of the internal buffer. SHAKE-256 + // currently needs the largest buffer. + maxRate = 168 +) + +type state struct { + // Generic sponge components. + a [25]uint64 // main state of the hash + buf []byte // points into storage + rate int // the number of bytes of state to use + + // dsbyte contains the "domain separation" bits and the first bit of + // the padding. Sections 6.1 and 6.2 of [1] separate the outputs of the + // SHA-3 and SHAKE functions by appending bitstrings to the message. + // Using a little-endian bit-ordering convention, these are "01" for SHA-3 + // and "1111" for SHAKE, or 00000010b and 00001111b, respectively. Then the + // padding rule from section 5.1 is applied to pad the message to a multiple + // of the rate, which involves adding a "1" bit, zero or more "0" bits, and + // a final "1" bit. We merge the first "1" bit from the padding into dsbyte, + // giving 00000110b (0x06) and 00011111b (0x1f). + // [1] http://csrc.nist.gov/publications/drafts/fips-202/fips_202_draft.pdf + // "Draft FIPS 202: SHA-3 Standard: Permutation-Based Hash and + // Extendable-Output Functions (May 2014)" + dsbyte byte + + storage storageBuf + + // Specific to SHA-3 and SHAKE. + outputLen int // the default output size in bytes + state spongeDirection // whether the sponge is absorbing or squeezing +} + +// BlockSize returns the rate of sponge underlying this hash function. +func (d *state) BlockSize() int { return d.rate } + +// Size returns the output size of the hash function in bytes. +func (d *state) Size() int { return d.outputLen } + +// Reset clears the internal state by zeroing the sponge state and +// the byte buffer, and setting Sponge.state to absorbing. +func (d *state) Reset() { + // Zero the permutation's state. + for i := range d.a { + d.a[i] = 0 + } + d.state = spongeAbsorbing + d.buf = d.storage.asBytes()[:0] +} + +func (d *state) clone() *state { + ret := *d + if ret.state == spongeAbsorbing { + ret.buf = ret.storage.asBytes()[:len(ret.buf)] + } else { + ret.buf = ret.storage.asBytes()[d.rate-cap(d.buf) : d.rate] + } + + return &ret +} + +// permute applies the KeccakF-1600 permutation. It handles +// any input-output buffering. +func (d *state) permute() { + switch d.state { + case spongeAbsorbing: + // If we're absorbing, we need to xor the input into the state + // before applying the permutation. + xorIn(d, d.buf) + d.buf = d.storage.asBytes()[:0] + keccakF1600(&d.a) + case spongeSqueezing: + // If we're squeezing, we need to apply the permutatin before + // copying more output. + keccakF1600(&d.a) + d.buf = d.storage.asBytes()[:d.rate] + copyOut(d, d.buf) + } +} + +// pads appends the domain separation bits in dsbyte, applies +// the multi-bitrate 10..1 padding rule, and permutes the state. +func (d *state) padAndPermute(dsbyte byte) { + if d.buf == nil { + d.buf = d.storage.asBytes()[:0] + } + // Pad with this instance's domain-separator bits. We know that there's + // at least one byte of space in d.buf because, if it were full, + // permute would have been called to empty it. dsbyte also contains the + // first one bit for the padding. See the comment in the state struct. + d.buf = append(d.buf, dsbyte) + zerosStart := len(d.buf) + d.buf = d.storage.asBytes()[:d.rate] + for i := zerosStart; i < d.rate; i++ { + d.buf[i] = 0 + } + // This adds the final one bit for the padding. Because of the way that + // bits are numbered from the LSB upwards, the final bit is the MSB of + // the last byte. + d.buf[d.rate-1] ^= 0x80 + // Apply the permutation + d.permute() + d.state = spongeSqueezing + d.buf = d.storage.asBytes()[:d.rate] + copyOut(d, d.buf) +} + +// Write absorbs more data into the hash's state. It produces an error +// if more data is written to the ShakeHash after writing +func (d *state) Write(p []byte) (written int, err error) { + if d.state != spongeAbsorbing { + panic("sha3: write to sponge after read") + } + if d.buf == nil { + d.buf = d.storage.asBytes()[:0] + } + written = len(p) + + for len(p) > 0 { + if len(d.buf) == 0 && len(p) >= d.rate { + // The fast path; absorb a full "rate" bytes of input and apply the permutation. + xorIn(d, p[:d.rate]) + p = p[d.rate:] + keccakF1600(&d.a) + } else { + // The slow path; buffer the input until we can fill the sponge, and then xor it in. + todo := d.rate - len(d.buf) + if todo > len(p) { + todo = len(p) + } + d.buf = append(d.buf, p[:todo]...) + p = p[todo:] + + // If the sponge is full, apply the permutation. + if len(d.buf) == d.rate { + d.permute() + } + } + } + + return +} + +// Read squeezes an arbitrary number of bytes from the sponge. +func (d *state) Read(out []byte) (n int, err error) { + // If we're still absorbing, pad and apply the permutation. + if d.state == spongeAbsorbing { + d.padAndPermute(d.dsbyte) + } + + n = len(out) + + // Now, do the squeezing. + for len(out) > 0 { + n := copy(out, d.buf) + d.buf = d.buf[n:] + out = out[n:] + + // Apply the permutation if we've squeezed the sponge dry. + if len(d.buf) == 0 { + d.permute() + } + } + + return +} + +// Sum applies padding to the hash state and then squeezes out the desired +// number of output bytes. +func (d *state) Sum(in []byte) []byte { + // Make a copy of the original hash so that caller can keep writing + // and summing. + dup := d.clone() + hash := make([]byte, dup.outputLen) + dup.Read(hash) + return append(in, hash...) +} diff --git a/src/vendor/golang.org/x/crypto/sha3/sha3_s390x.go b/src/vendor/golang.org/x/crypto/sha3/sha3_s390x.go new file mode 100644 index 00000000000..259ff4dada0 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/sha3_s390x.go @@ -0,0 +1,284 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !gccgo,!appengine + +package sha3 + +// This file contains code for using the 'compute intermediate +// message digest' (KIMD) and 'compute last message digest' (KLMD) +// instructions to compute SHA-3 and SHAKE hashes on IBM Z. + +import ( + "hash" + + "golang.org/x/sys/cpu" +) + +// codes represent 7-bit KIMD/KLMD function codes as defined in +// the Principles of Operation. +type code uint64 + +const ( + // function codes for KIMD/KLMD + sha3_224 code = 32 + sha3_256 = 33 + sha3_384 = 34 + sha3_512 = 35 + shake_128 = 36 + shake_256 = 37 + nopad = 0x100 +) + +// kimd is a wrapper for the 'compute intermediate message digest' instruction. +// src must be a multiple of the rate for the given function code. +//go:noescape +func kimd(function code, chain *[200]byte, src []byte) + +// klmd is a wrapper for the 'compute last message digest' instruction. +// src padding is handled by the instruction. +//go:noescape +func klmd(function code, chain *[200]byte, dst, src []byte) + +type asmState struct { + a [200]byte // 1600 bit state + buf []byte // care must be taken to ensure cap(buf) is a multiple of rate + rate int // equivalent to block size + storage [3072]byte // underlying storage for buf + outputLen int // output length if fixed, 0 if not + function code // KIMD/KLMD function code + state spongeDirection // whether the sponge is absorbing or squeezing +} + +func newAsmState(function code) *asmState { + var s asmState + s.function = function + switch function { + case sha3_224: + s.rate = 144 + s.outputLen = 28 + case sha3_256: + s.rate = 136 + s.outputLen = 32 + case sha3_384: + s.rate = 104 + s.outputLen = 48 + case sha3_512: + s.rate = 72 + s.outputLen = 64 + case shake_128: + s.rate = 168 + case shake_256: + s.rate = 136 + default: + panic("sha3: unrecognized function code") + } + + // limit s.buf size to a multiple of s.rate + s.resetBuf() + return &s +} + +func (s *asmState) clone() *asmState { + c := *s + c.buf = c.storage[:len(s.buf):cap(s.buf)] + return &c +} + +// copyIntoBuf copies b into buf. It will panic if there is not enough space to +// store all of b. +func (s *asmState) copyIntoBuf(b []byte) { + bufLen := len(s.buf) + s.buf = s.buf[:len(s.buf)+len(b)] + copy(s.buf[bufLen:], b) +} + +// resetBuf points buf at storage, sets the length to 0 and sets cap to be a +// multiple of the rate. +func (s *asmState) resetBuf() { + max := (cap(s.storage) / s.rate) * s.rate + s.buf = s.storage[:0:max] +} + +// Write (via the embedded io.Writer interface) adds more data to the running hash. +// It never returns an error. +func (s *asmState) Write(b []byte) (int, error) { + if s.state != spongeAbsorbing { + panic("sha3: write to sponge after read") + } + length := len(b) + for len(b) > 0 { + if len(s.buf) == 0 && len(b) >= cap(s.buf) { + // Hash the data directly and push any remaining bytes + // into the buffer. + remainder := len(b) % s.rate + kimd(s.function, &s.a, b[:len(b)-remainder]) + if remainder != 0 { + s.copyIntoBuf(b[len(b)-remainder:]) + } + return length, nil + } + + if len(s.buf) == cap(s.buf) { + // flush the buffer + kimd(s.function, &s.a, s.buf) + s.buf = s.buf[:0] + } + + // copy as much as we can into the buffer + n := len(b) + if len(b) > cap(s.buf)-len(s.buf) { + n = cap(s.buf) - len(s.buf) + } + s.copyIntoBuf(b[:n]) + b = b[n:] + } + return length, nil +} + +// Read squeezes an arbitrary number of bytes from the sponge. +func (s *asmState) Read(out []byte) (n int, err error) { + n = len(out) + + // need to pad if we were absorbing + if s.state == spongeAbsorbing { + s.state = spongeSqueezing + + // write hash directly into out if possible + if len(out)%s.rate == 0 { + klmd(s.function, &s.a, out, s.buf) // len(out) may be 0 + s.buf = s.buf[:0] + return + } + + // write hash into buffer + max := cap(s.buf) + if max > len(out) { + max = (len(out)/s.rate)*s.rate + s.rate + } + klmd(s.function, &s.a, s.buf[:max], s.buf) + s.buf = s.buf[:max] + } + + for len(out) > 0 { + // flush the buffer + if len(s.buf) != 0 { + c := copy(out, s.buf) + out = out[c:] + s.buf = s.buf[c:] + continue + } + + // write hash directly into out if possible + if len(out)%s.rate == 0 { + klmd(s.function|nopad, &s.a, out, nil) + return + } + + // write hash into buffer + s.resetBuf() + if cap(s.buf) > len(out) { + s.buf = s.buf[:(len(out)/s.rate)*s.rate+s.rate] + } + klmd(s.function|nopad, &s.a, s.buf, nil) + } + return +} + +// Sum appends the current hash to b and returns the resulting slice. +// It does not change the underlying hash state. +func (s *asmState) Sum(b []byte) []byte { + if s.outputLen == 0 { + panic("sha3: cannot call Sum on SHAKE functions") + } + + // Copy the state to preserve the original. + a := s.a + + // Hash the buffer. Note that we don't clear it because we + // aren't updating the state. + klmd(s.function, &a, nil, s.buf) + return append(b, a[:s.outputLen]...) +} + +// Reset resets the Hash to its initial state. +func (s *asmState) Reset() { + for i := range s.a { + s.a[i] = 0 + } + s.resetBuf() + s.state = spongeAbsorbing +} + +// Size returns the number of bytes Sum will return. +func (s *asmState) Size() int { + return s.outputLen +} + +// BlockSize returns the hash's underlying block size. +// The Write method must be able to accept any amount +// of data, but it may operate more efficiently if all writes +// are a multiple of the block size. +func (s *asmState) BlockSize() int { + return s.rate +} + +// Clone returns a copy of the ShakeHash in its current state. +func (s *asmState) Clone() ShakeHash { + return s.clone() +} + +// new224Asm returns an assembly implementation of SHA3-224 if available, +// otherwise it returns nil. +func new224Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_224) + } + return nil +} + +// new256Asm returns an assembly implementation of SHA3-256 if available, +// otherwise it returns nil. +func new256Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_256) + } + return nil +} + +// new384Asm returns an assembly implementation of SHA3-384 if available, +// otherwise it returns nil. +func new384Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_384) + } + return nil +} + +// new512Asm returns an assembly implementation of SHA3-512 if available, +// otherwise it returns nil. +func new512Asm() hash.Hash { + if cpu.S390X.HasSHA3 { + return newAsmState(sha3_512) + } + return nil +} + +// newShake128Asm returns an assembly implementation of SHAKE-128 if available, +// otherwise it returns nil. +func newShake128Asm() ShakeHash { + if cpu.S390X.HasSHA3 { + return newAsmState(shake_128) + } + return nil +} + +// newShake256Asm returns an assembly implementation of SHAKE-256 if available, +// otherwise it returns nil. +func newShake256Asm() ShakeHash { + if cpu.S390X.HasSHA3 { + return newAsmState(shake_256) + } + return nil +} diff --git a/src/vendor/golang.org/x/crypto/sha3/sha3_s390x.s b/src/vendor/golang.org/x/crypto/sha3/sha3_s390x.s new file mode 100644 index 00000000000..8a4458f63f9 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/sha3_s390x.s @@ -0,0 +1,33 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !gccgo,!appengine + +#include "textflag.h" + +// func kimd(function code, chain *[200]byte, src []byte) +TEXT ·kimd(SB), NOFRAME|NOSPLIT, $0-40 + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG src+16(FP), R2, R3 // R2=base, R3=len + +continue: + WORD $0xB93E0002 // KIMD --, R2 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET + +// func klmd(function code, chain *[200]byte, dst, src []byte) +TEXT ·klmd(SB), NOFRAME|NOSPLIT, $0-64 + // TODO: SHAKE support + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG dst+16(FP), R2, R3 // R2=base, R3=len + LMG src+40(FP), R4, R5 // R4=base, R5=len + +continue: + WORD $0xB93F0024 // KLMD R2, R4 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET diff --git a/src/vendor/golang.org/x/crypto/sha3/sha3_test.go b/src/vendor/golang.org/x/crypto/sha3/sha3_test.go new file mode 100644 index 00000000000..83bd6195d6c --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/sha3_test.go @@ -0,0 +1,490 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// Tests include all the ShortMsgKATs provided by the Keccak team at +// https://github.com/gvanas/KeccakCodePackage +// +// They only include the zero-bit case of the bitwise testvectors +// published by NIST in the draft of FIPS-202. + +import ( + "bytes" + "compress/flate" + "encoding/hex" + "encoding/json" + "fmt" + "hash" + "math/rand" + "os" + "strings" + "testing" +) + +const ( + testString = "brekeccakkeccak koax koax" + katFilename = "testdata/keccakKats.json.deflate" +) + +// testDigests contains functions returning hash.Hash instances +// with output-length equal to the KAT length for SHA-3, Keccak +// and SHAKE instances. +var testDigests = map[string]func() hash.Hash{ + "SHA3-224": New224, + "SHA3-256": New256, + "SHA3-384": New384, + "SHA3-512": New512, + "Keccak-256": NewLegacyKeccak256, + "Keccak-512": NewLegacyKeccak512, +} + +// testShakes contains functions that return sha3.ShakeHash instances for +// with output-length equal to the KAT length. +var testShakes = map[string]struct { + constructor func(N []byte, S []byte) ShakeHash + defAlgoName string + defCustomStr string +}{ + // NewCShake without customization produces same result as SHAKE + "SHAKE128": {NewCShake128, "", ""}, + "SHAKE256": {NewCShake256, "", ""}, + "cSHAKE128": {NewCShake128, "CSHAKE128", "CustomStrign"}, + "cSHAKE256": {NewCShake256, "CSHAKE256", "CustomStrign"}, +} + +// decodeHex converts a hex-encoded string into a raw byte string. +func decodeHex(s string) []byte { + b, err := hex.DecodeString(s) + if err != nil { + panic(err) + } + return b +} + +// structs used to marshal JSON test-cases. +type KeccakKats struct { + Kats map[string][]struct { + Digest string `json:"digest"` + Length int64 `json:"length"` + Message string `json:"message"` + + // Defined only for cSHAKE + N string `json:"N"` + S string `json:"S"` + } +} + +func testUnalignedAndGeneric(t *testing.T, testf func(impl string)) { + xorInOrig, copyOutOrig := xorIn, copyOut + xorIn, copyOut = xorInGeneric, copyOutGeneric + testf("generic") + if xorImplementationUnaligned != "generic" { + xorIn, copyOut = xorInUnaligned, copyOutUnaligned + testf("unaligned") + } + xorIn, copyOut = xorInOrig, copyOutOrig +} + +// TestKeccakKats tests the SHA-3 and Shake implementations against all the +// ShortMsgKATs from https://github.com/gvanas/KeccakCodePackage +// (The testvectors are stored in keccakKats.json.deflate due to their length.) +func TestKeccakKats(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + // Read the KATs. + deflated, err := os.Open(katFilename) + if err != nil { + t.Errorf("error opening %s: %s", katFilename, err) + } + file := flate.NewReader(deflated) + dec := json.NewDecoder(file) + var katSet KeccakKats + err = dec.Decode(&katSet) + if err != nil { + t.Errorf("error decoding KATs: %s", err) + } + + for algo, function := range testDigests { + d := function() + for _, kat := range katSet.Kats[algo] { + d.Reset() + in, err := hex.DecodeString(kat.Message) + if err != nil { + t.Errorf("error decoding KAT: %s", err) + } + d.Write(in[:kat.Length/8]) + got := strings.ToUpper(hex.EncodeToString(d.Sum(nil))) + if got != kat.Digest { + t.Errorf("function=%s, implementation=%s, length=%d\nmessage:\n %s\ngot:\n %s\nwanted:\n %s", + algo, impl, kat.Length, kat.Message, got, kat.Digest) + t.Logf("wanted %+v", kat) + t.FailNow() + } + continue + } + } + + for algo, v := range testShakes { + for _, kat := range katSet.Kats[algo] { + N, err := hex.DecodeString(kat.N) + if err != nil { + t.Errorf("error decoding KAT: %s", err) + } + + S, err := hex.DecodeString(kat.S) + if err != nil { + t.Errorf("error decoding KAT: %s", err) + } + d := v.constructor(N, S) + in, err := hex.DecodeString(kat.Message) + if err != nil { + t.Errorf("error decoding KAT: %s", err) + } + + d.Write(in[:kat.Length/8]) + out := make([]byte, len(kat.Digest)/2) + d.Read(out) + got := strings.ToUpper(hex.EncodeToString(out)) + if got != kat.Digest { + t.Errorf("function=%s, implementation=%s, length=%d N:%s\n S:%s\nmessage:\n %s \ngot:\n %s\nwanted:\n %s", + algo, impl, kat.Length, kat.N, kat.S, kat.Message, got, kat.Digest) + t.Logf("wanted %+v", kat) + t.FailNow() + } + continue + } + } + }) +} + +// TestKeccak does a basic test of the non-standardized Keccak hash functions. +func TestKeccak(t *testing.T) { + tests := []struct { + fn func() hash.Hash + data []byte + want string + }{ + { + NewLegacyKeccak256, + []byte("abc"), + "4e03657aea45a94fc7d47ba826c8d667c0d1e6e33a64a036ec44f58fa12d6c45", + }, + { + NewLegacyKeccak512, + []byte("abc"), + "18587dc2ea106b9a1563e32b3312421ca164c7f1f07bc922a9c83d77cea3a1e5d0c69910739025372dc14ac9642629379540c17e2a65b19d77aa511a9d00bb96", + }, + } + + for _, u := range tests { + h := u.fn() + h.Write(u.data) + got := h.Sum(nil) + want := decodeHex(u.want) + if !bytes.Equal(got, want) { + t.Errorf("unexpected hash for size %d: got '%x' want '%s'", h.Size()*8, got, u.want) + } + } +} + +// TestUnalignedWrite tests that writing data in an arbitrary pattern with +// small input buffers. +func TestUnalignedWrite(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + buf := sequentialBytes(0x10000) + for alg, df := range testDigests { + d := df() + d.Reset() + d.Write(buf) + want := d.Sum(nil) + d.Reset() + for i := 0; i < len(buf); { + // Cycle through offsets which make a 137 byte sequence. + // Because 137 is prime this sequence should exercise all corner cases. + offsets := [17]int{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1} + for _, j := range offsets { + if v := len(buf) - i; v < j { + j = v + } + d.Write(buf[i : i+j]) + i += j + } + } + got := d.Sum(nil) + if !bytes.Equal(got, want) { + t.Errorf("Unaligned writes, implementation=%s, alg=%s\ngot %q, want %q", impl, alg, got, want) + } + } + + // Same for SHAKE + for alg, df := range testShakes { + want := make([]byte, 16) + got := make([]byte, 16) + d := df.constructor([]byte(df.defAlgoName), []byte(df.defCustomStr)) + + d.Reset() + d.Write(buf) + d.Read(want) + d.Reset() + for i := 0; i < len(buf); { + // Cycle through offsets which make a 137 byte sequence. + // Because 137 is prime this sequence should exercise all corner cases. + offsets := [17]int{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1} + for _, j := range offsets { + if v := len(buf) - i; v < j { + j = v + } + d.Write(buf[i : i+j]) + i += j + } + } + d.Read(got) + if !bytes.Equal(got, want) { + t.Errorf("Unaligned writes, implementation=%s, alg=%s\ngot %q, want %q", impl, alg, got, want) + } + } + }) +} + +// TestAppend checks that appending works when reallocation is necessary. +func TestAppend(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + d := New224() + + for capacity := 2; capacity <= 66; capacity += 64 { + // The first time around the loop, Sum will have to reallocate. + // The second time, it will not. + buf := make([]byte, 2, capacity) + d.Reset() + d.Write([]byte{0xcc}) + buf = d.Sum(buf) + expected := "0000DF70ADC49B2E76EEE3A6931B93FA41841C3AF2CDF5B32A18B5478C39" + if got := strings.ToUpper(hex.EncodeToString(buf)); got != expected { + t.Errorf("got %s, want %s", got, expected) + } + } + }) +} + +// TestAppendNoRealloc tests that appending works when no reallocation is necessary. +func TestAppendNoRealloc(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + buf := make([]byte, 1, 200) + d := New224() + d.Write([]byte{0xcc}) + buf = d.Sum(buf) + expected := "00DF70ADC49B2E76EEE3A6931B93FA41841C3AF2CDF5B32A18B5478C39" + if got := strings.ToUpper(hex.EncodeToString(buf)); got != expected { + t.Errorf("%s: got %s, want %s", impl, got, expected) + } + }) +} + +// TestSqueezing checks that squeezing the full output a single time produces +// the same output as repeatedly squeezing the instance. +func TestSqueezing(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + for algo, v := range testShakes { + d0 := v.constructor([]byte(v.defAlgoName), []byte(v.defCustomStr)) + d0.Write([]byte(testString)) + ref := make([]byte, 32) + d0.Read(ref) + + d1 := v.constructor([]byte(v.defAlgoName), []byte(v.defCustomStr)) + d1.Write([]byte(testString)) + var multiple []byte + for range ref { + one := make([]byte, 1) + d1.Read(one) + multiple = append(multiple, one...) + } + if !bytes.Equal(ref, multiple) { + t.Errorf("%s (%s): squeezing %d bytes one at a time failed", algo, impl, len(ref)) + } + } + }) +} + +// sequentialBytes produces a buffer of size consecutive bytes 0x00, 0x01, ..., used for testing. +// +// The alignment of each slice is intentionally randomized to detect alignment +// issues in the implementation. See https://golang.org/issue/37644. +// Ideally, the compiler should fuzz the alignment itself. +// (See https://golang.org/issue/35128.) +func sequentialBytes(size int) []byte { + alignmentOffset := rand.Intn(8) + result := make([]byte, size+alignmentOffset)[alignmentOffset:] + for i := range result { + result[i] = byte(i) + } + return result +} + +func TestReset(t *testing.T) { + out1 := make([]byte, 32) + out2 := make([]byte, 32) + + for _, v := range testShakes { + // Calculate hash for the first time + c := v.constructor(nil, []byte{0x99, 0x98}) + c.Write(sequentialBytes(0x100)) + c.Read(out1) + + // Calculate hash again + c.Reset() + c.Write(sequentialBytes(0x100)) + c.Read(out2) + + if !bytes.Equal(out1, out2) { + t.Error("\nExpected:\n", out1, "\ngot:\n", out2) + } + } +} + +func TestClone(t *testing.T) { + out1 := make([]byte, 16) + out2 := make([]byte, 16) + + // Test for sizes smaller and larger than block size. + for _, size := range []int{0x1, 0x100} { + in := sequentialBytes(size) + for _, v := range testShakes { + h1 := v.constructor(nil, []byte{0x01}) + h1.Write([]byte{0x01}) + + h2 := h1.Clone() + + h1.Write(in) + h1.Read(out1) + + h2.Write(in) + h2.Read(out2) + + if !bytes.Equal(out1, out2) { + t.Error("\nExpected:\n", hex.EncodeToString(out1), "\ngot:\n", hex.EncodeToString(out2)) + } + } + } +} + +// BenchmarkPermutationFunction measures the speed of the permutation function +// with no input data. +func BenchmarkPermutationFunction(b *testing.B) { + b.SetBytes(int64(200)) + var lanes [25]uint64 + for i := 0; i < b.N; i++ { + keccakF1600(&lanes) + } +} + +// benchmarkHash tests the speed to hash num buffers of buflen each. +func benchmarkHash(b *testing.B, h hash.Hash, size, num int) { + b.StopTimer() + h.Reset() + data := sequentialBytes(size) + b.SetBytes(int64(size * num)) + b.StartTimer() + + var state []byte + for i := 0; i < b.N; i++ { + for j := 0; j < num; j++ { + h.Write(data) + } + state = h.Sum(state[:0]) + } + b.StopTimer() + h.Reset() +} + +// benchmarkShake is specialized to the Shake instances, which don't +// require a copy on reading output. +func benchmarkShake(b *testing.B, h ShakeHash, size, num int) { + b.StopTimer() + h.Reset() + data := sequentialBytes(size) + d := make([]byte, 32) + + b.SetBytes(int64(size * num)) + b.StartTimer() + + for i := 0; i < b.N; i++ { + h.Reset() + for j := 0; j < num; j++ { + h.Write(data) + } + h.Read(d) + } +} + +func BenchmarkSha3_512_MTU(b *testing.B) { benchmarkHash(b, New512(), 1350, 1) } +func BenchmarkSha3_384_MTU(b *testing.B) { benchmarkHash(b, New384(), 1350, 1) } +func BenchmarkSha3_256_MTU(b *testing.B) { benchmarkHash(b, New256(), 1350, 1) } +func BenchmarkSha3_224_MTU(b *testing.B) { benchmarkHash(b, New224(), 1350, 1) } + +func BenchmarkShake128_MTU(b *testing.B) { benchmarkShake(b, NewShake128(), 1350, 1) } +func BenchmarkShake256_MTU(b *testing.B) { benchmarkShake(b, NewShake256(), 1350, 1) } +func BenchmarkShake256_16x(b *testing.B) { benchmarkShake(b, NewShake256(), 16, 1024) } +func BenchmarkShake256_1MiB(b *testing.B) { benchmarkShake(b, NewShake256(), 1024, 1024) } + +func BenchmarkSha3_512_1MiB(b *testing.B) { benchmarkHash(b, New512(), 1024, 1024) } + +func Example_sum() { + buf := []byte("some data to hash") + // A hash needs to be 64 bytes long to have 256-bit collision resistance. + h := make([]byte, 64) + // Compute a 64-byte hash of buf and put it in h. + ShakeSum256(h, buf) + fmt.Printf("%x\n", h) + // Output: 0f65fe41fc353e52c55667bb9e2b27bfcc8476f2c413e9437d272ee3194a4e3146d05ec04a25d16b8f577c19b82d16b1424c3e022e783d2b4da98de3658d363d +} + +func Example_mac() { + k := []byte("this is a secret key; you should generate a strong random key that's at least 32 bytes long") + buf := []byte("and this is some data to authenticate") + // A MAC with 32 bytes of output has 256-bit security strength -- if you use at least a 32-byte-long key. + h := make([]byte, 32) + d := NewShake256() + // Write the key into the hash. + d.Write(k) + // Now write the data. + d.Write(buf) + // Read 32 bytes of output from the hash into h. + d.Read(h) + fmt.Printf("%x\n", h) + // Output: 78de2974bd2711d5549ffd32b753ef0f5fa80a0db2556db60f0987eb8a9218ff +} + +func ExampleNewCShake256() { + out := make([]byte, 32) + msg := []byte("The quick brown fox jumps over the lazy dog") + + // Example 1: Simple cshake + c1 := NewCShake256([]byte("NAME"), []byte("Partition1")) + c1.Write(msg) + c1.Read(out) + fmt.Println(hex.EncodeToString(out)) + + // Example 2: Different customization string produces different digest + c1 = NewCShake256([]byte("NAME"), []byte("Partition2")) + c1.Write(msg) + c1.Read(out) + fmt.Println(hex.EncodeToString(out)) + + // Example 3: Longer output length produces longer digest + out = make([]byte, 64) + c1 = NewCShake256([]byte("NAME"), []byte("Partition1")) + c1.Write(msg) + c1.Read(out) + fmt.Println(hex.EncodeToString(out)) + + // Example 4: Next read produces different result + c1.Read(out) + fmt.Println(hex.EncodeToString(out)) + + // Output: + //a90a4c6ca9af2156eba43dc8398279e6b60dcd56fb21837afe6c308fd4ceb05b + //a8db03e71f3e4da5c4eee9d28333cdd355f51cef3c567e59be5beb4ecdbb28f0 + //a90a4c6ca9af2156eba43dc8398279e6b60dcd56fb21837afe6c308fd4ceb05b9dd98c6ee866ca7dc5a39d53e960f400bcd5a19c8a2d6ec6459f63696543a0d8 + //85e73a72228d08b46515553ca3a29d47df3047e5d84b12d6c2c63e579f4fd1105716b7838e92e981863907f434bfd4443c9e56ea09da998d2f9b47db71988109 +} diff --git a/src/vendor/golang.org/x/crypto/sha3/shake.go b/src/vendor/golang.org/x/crypto/sha3/shake.go new file mode 100644 index 00000000000..d7be2954ab2 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/shake.go @@ -0,0 +1,173 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file defines the ShakeHash interface, and provides +// functions for creating SHAKE and cSHAKE instances, as well as utility +// functions for hashing bytes to arbitrary-length output. +// +// +// SHAKE implementation is based on FIPS PUB 202 [1] +// cSHAKE implementations is based on NIST SP 800-185 [2] +// +// [1] https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf +// [2] https://doi.org/10.6028/NIST.SP.800-185 + +import ( + "encoding/binary" + "io" +) + +// ShakeHash defines the interface to hash functions that +// support arbitrary-length output. +type ShakeHash interface { + // Write absorbs more data into the hash's state. It panics if input is + // written to it after output has been read from it. + io.Writer + + // Read reads more output from the hash; reading affects the hash's + // state. (ShakeHash.Read is thus very different from Hash.Sum) + // It never returns an error. + io.Reader + + // Clone returns a copy of the ShakeHash in its current state. + Clone() ShakeHash + + // Reset resets the ShakeHash to its initial state. + Reset() +} + +// cSHAKE specific context +type cshakeState struct { + *state // SHA-3 state context and Read/Write operations + + // initBlock is the cSHAKE specific initialization set of bytes. It is initialized + // by newCShake function and stores concatenation of N followed by S, encoded + // by the method specified in 3.3 of [1]. + // It is stored here in order for Reset() to be able to put context into + // initial state. + initBlock []byte +} + +// Consts for configuring initial SHA-3 state +const ( + dsbyteShake = 0x1f + dsbyteCShake = 0x04 + rate128 = 168 + rate256 = 136 +) + +func bytepad(input []byte, w int) []byte { + // leftEncode always returns max 9 bytes + buf := make([]byte, 0, 9+len(input)+w) + buf = append(buf, leftEncode(uint64(w))...) + buf = append(buf, input...) + padlen := w - (len(buf) % w) + return append(buf, make([]byte, padlen)...) +} + +func leftEncode(value uint64) []byte { + var b [9]byte + binary.BigEndian.PutUint64(b[1:], value) + // Trim all but last leading zero bytes + i := byte(1) + for i < 8 && b[i] == 0 { + i++ + } + // Prepend number of encoded bytes + b[i-1] = 9 - i + return b[i-1:] +} + +func newCShake(N, S []byte, rate int, dsbyte byte) ShakeHash { + c := cshakeState{state: &state{rate: rate, dsbyte: dsbyte}} + + // leftEncode returns max 9 bytes + c.initBlock = make([]byte, 0, 9*2+len(N)+len(S)) + c.initBlock = append(c.initBlock, leftEncode(uint64(len(N)*8))...) + c.initBlock = append(c.initBlock, N...) + c.initBlock = append(c.initBlock, leftEncode(uint64(len(S)*8))...) + c.initBlock = append(c.initBlock, S...) + c.Write(bytepad(c.initBlock, c.rate)) + return &c +} + +// Reset resets the hash to initial state. +func (c *cshakeState) Reset() { + c.state.Reset() + c.Write(bytepad(c.initBlock, c.rate)) +} + +// Clone returns copy of a cSHAKE context within its current state. +func (c *cshakeState) Clone() ShakeHash { + b := make([]byte, len(c.initBlock)) + copy(b, c.initBlock) + return &cshakeState{state: c.clone(), initBlock: b} +} + +// Clone returns copy of SHAKE context within its current state. +func (c *state) Clone() ShakeHash { + return c.clone() +} + +// NewShake128 creates a new SHAKE128 variable-output-length ShakeHash. +// Its generic security strength is 128 bits against all attacks if at +// least 32 bytes of its output are used. +func NewShake128() ShakeHash { + if h := newShake128Asm(); h != nil { + return h + } + return &state{rate: rate128, dsbyte: dsbyteShake} +} + +// NewShake256 creates a new SHAKE256 variable-output-length ShakeHash. +// Its generic security strength is 256 bits against all attacks if +// at least 64 bytes of its output are used. +func NewShake256() ShakeHash { + if h := newShake256Asm(); h != nil { + return h + } + return &state{rate: rate256, dsbyte: dsbyteShake} +} + +// NewCShake128 creates a new instance of cSHAKE128 variable-output-length ShakeHash, +// a customizable variant of SHAKE128. +// N is used to define functions based on cSHAKE, it can be empty when plain cSHAKE is +// desired. S is a customization byte string used for domain separation - two cSHAKE +// computations on same input with different S yield unrelated outputs. +// When N and S are both empty, this is equivalent to NewShake128. +func NewCShake128(N, S []byte) ShakeHash { + if len(N) == 0 && len(S) == 0 { + return NewShake128() + } + return newCShake(N, S, rate128, dsbyteCShake) +} + +// NewCShake256 creates a new instance of cSHAKE256 variable-output-length ShakeHash, +// a customizable variant of SHAKE256. +// N is used to define functions based on cSHAKE, it can be empty when plain cSHAKE is +// desired. S is a customization byte string used for domain separation - two cSHAKE +// computations on same input with different S yield unrelated outputs. +// When N and S are both empty, this is equivalent to NewShake256. +func NewCShake256(N, S []byte) ShakeHash { + if len(N) == 0 && len(S) == 0 { + return NewShake256() + } + return newCShake(N, S, rate256, dsbyteCShake) +} + +// ShakeSum128 writes an arbitrary-length digest of data into hash. +func ShakeSum128(hash, data []byte) { + h := NewShake128() + h.Write(data) + h.Read(hash) +} + +// ShakeSum256 writes an arbitrary-length digest of data into hash. +func ShakeSum256(hash, data []byte) { + h := NewShake256() + h.Write(data) + h.Read(hash) +} diff --git a/src/vendor/golang.org/x/crypto/sha3/shake_generic.go b/src/vendor/golang.org/x/crypto/sha3/shake_generic.go new file mode 100644 index 00000000000..add4e733967 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/shake_generic.go @@ -0,0 +1,19 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build gccgo appengine !s390x + +package sha3 + +// newShake128Asm returns an assembly implementation of SHAKE-128 if available, +// otherwise it returns nil. +func newShake128Asm() ShakeHash { + return nil +} + +// newShake256Asm returns an assembly implementation of SHAKE-256 if available, +// otherwise it returns nil. +func newShake256Asm() ShakeHash { + return nil +} diff --git a/src/vendor/golang.org/x/crypto/sha3/testdata/keccakKats.json.deflate b/src/vendor/golang.org/x/crypto/sha3/testdata/keccakKats.json.deflate new file mode 100644 index 0000000000000000000000000000000000000000..7a94c2f8bce62c70664cda859a30845cab713c24 GIT binary patch literal 540828 zcmV(+K;6HL{JXAoOO7>&`TZ1$v|B*%8f1CALcUB{4XE%-(8a0WYv|pDSP8W?6T3cR zuXFY}-&~BC|M_44{EvV9@Bhm`{_)TM%l|p(|Aff@{EvV9U;meX z{No?L-@ZTp{J;G_{>Oj**Z=(IfBfU0nmmUXN%eN-rPKjo;XRWO*(`q71M*xOT1g4b 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All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !amd64,!386,!ppc64le appengine + +package sha3 + +// A storageBuf is an aligned array of maxRate bytes. +type storageBuf [maxRate]byte + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(b) +} + +var ( + xorIn = xorInGeneric + copyOut = copyOutGeneric + xorInUnaligned = xorInGeneric + copyOutUnaligned = copyOutGeneric +) + +const xorImplementationUnaligned = "generic" diff --git a/src/vendor/golang.org/x/crypto/sha3/xor_generic.go b/src/vendor/golang.org/x/crypto/sha3/xor_generic.go new file mode 100644 index 00000000000..fd35f02ef6e --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/xor_generic.go @@ -0,0 +1,28 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +import "encoding/binary" + +// xorInGeneric xors the bytes in buf into the state; it +// makes no non-portable assumptions about memory layout +// or alignment. +func xorInGeneric(d *state, buf []byte) { + n := len(buf) / 8 + + for i := 0; i < n; i++ { + a := binary.LittleEndian.Uint64(buf) + d.a[i] ^= a + buf = buf[8:] + } +} + +// copyOutGeneric copies ulint64s to a byte buffer. +func copyOutGeneric(d *state, b []byte) { + for i := 0; len(b) >= 8; i++ { + binary.LittleEndian.PutUint64(b, d.a[i]) + b = b[8:] + } +} diff --git a/src/vendor/golang.org/x/crypto/sha3/xor_unaligned.go b/src/vendor/golang.org/x/crypto/sha3/xor_unaligned.go new file mode 100644 index 00000000000..5f19cdff391 --- /dev/null +++ b/src/vendor/golang.org/x/crypto/sha3/xor_unaligned.go @@ -0,0 +1,67 @@ +// Copyright 2015 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build amd64 386 ppc64le +// +build !appengine + +package sha3 + +import "unsafe" + +// A storageBuf is an aligned array of maxRate bytes. +type storageBuf [maxRate / 8]uint64 + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(unsafe.Pointer(b)) +} + +// xorInUnaligned uses unaligned reads and writes to update d.a to contain d.a +// XOR buf. +func xorInUnaligned(d *state, buf []byte) { + n := len(buf) + bw := (*[maxRate / 8]uint64)(unsafe.Pointer(&buf[0]))[: n/8 : n/8] + if n >= 72 { + d.a[0] ^= bw[0] + d.a[1] ^= bw[1] + d.a[2] ^= bw[2] + d.a[3] ^= bw[3] + d.a[4] ^= bw[4] + d.a[5] ^= bw[5] + d.a[6] ^= bw[6] + d.a[7] ^= bw[7] + d.a[8] ^= bw[8] + } + if n >= 104 { + d.a[9] ^= bw[9] + d.a[10] ^= bw[10] + d.a[11] ^= bw[11] + d.a[12] ^= bw[12] + } + if n >= 136 { + d.a[13] ^= bw[13] + d.a[14] ^= bw[14] + d.a[15] ^= bw[15] + d.a[16] ^= bw[16] + } + if n >= 144 { + d.a[17] ^= bw[17] + } + if n >= 168 { + d.a[18] ^= bw[18] + d.a[19] ^= bw[19] + d.a[20] ^= bw[20] + } +} + +func copyOutUnaligned(d *state, buf []byte) { + ab := (*[maxRate]uint8)(unsafe.Pointer(&d.a[0])) + copy(buf, ab[:]) +} + +var ( + xorIn = xorInUnaligned + copyOut = copyOutUnaligned +) + +const xorImplementationUnaligned = "unaligned" From ab27ad1912eb3245de79e659c833296f7f593786 Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Wed, 23 Sep 2020 17:10:26 -0700 Subject: [PATCH 09/69] crypto/tls: Implement draft-ietf-tls-esni-08 Adds initial support for the Encrypted ClientHello (ECH) extension, as specified by draft-ietf-tls-esni-08. A few features are not implemented, including client- and server-side padding. This commit also adds basic support for handshake metrics: * Adds a callback `EventHandler()` to `Config`, which can be called at various points during the handshake to respond to various events. For example, this callback can be used to record metrics. * Adds calls to `EventHandler()` just before closing the TLS connection for resolving ECH usage: whether the client offered, greased, or bypassed ECH; and whether the server accepted, rejected, or bypassed ECH. --- src/crypto/tls/alert.go | 2 + src/crypto/tls/common.go | 89 +- src/crypto/tls/conn.go | 54 + src/crypto/tls/ech.go | 1068 +++++++++++++++++ src/crypto/tls/ech_config.go | 183 +++ src/crypto/tls/ech_provider.go | 78 ++ src/crypto/tls/ech_test.go | 1018 ++++++++++++++++ src/crypto/tls/handshake_client.go | 38 +- src/crypto/tls/handshake_client_tls13.go | 119 +- src/crypto/tls/handshake_messages.go | 36 +- src/crypto/tls/handshake_server.go | 13 +- src/crypto/tls/handshake_server_tls13.go | 53 +- src/crypto/tls/hpke.go | 84 ++ src/crypto/tls/internal/hpke/LICENSE | 25 + src/crypto/tls/internal/hpke/README.md | 18 + src/crypto/tls/internal/hpke/crypto.go | 875 ++++++++++++++ src/crypto/tls/internal/hpke/crypto_test.go | 141 +++ src/crypto/tls/internal/hpke/hpke.go | 537 +++++++++ src/crypto/tls/internal/hpke/hpke_test.go | 777 ++++++++++++ .../tls/internal/hpke/test-vectors.json | 1 + src/crypto/tls/internal/syntax/LICENSE | 25 + src/crypto/tls/internal/syntax/README.md | 3 + src/crypto/tls/internal/syntax/decode.go | 456 +++++++ src/crypto/tls/internal/syntax/encode.go | 411 +++++++ src/crypto/tls/internal/syntax/stream.go | 76 ++ src/crypto/tls/internal/syntax/tags.go | 173 +++ src/crypto/tls/tls.go | 33 + src/crypto/tls/tls_cf.go | 8 + src/crypto/tls/tls_test.go | 6 +- src/go/build/deps_test.go | 2 + 30 files changed, 6366 insertions(+), 36 deletions(-) create mode 100644 src/crypto/tls/ech.go create mode 100644 src/crypto/tls/ech_config.go create mode 100644 src/crypto/tls/ech_provider.go create mode 100644 src/crypto/tls/ech_test.go create mode 100644 src/crypto/tls/hpke.go create mode 100644 src/crypto/tls/internal/hpke/LICENSE create mode 100644 src/crypto/tls/internal/hpke/README.md create mode 100644 src/crypto/tls/internal/hpke/crypto.go create mode 100644 src/crypto/tls/internal/hpke/crypto_test.go create mode 100644 src/crypto/tls/internal/hpke/hpke.go create mode 100644 src/crypto/tls/internal/hpke/hpke_test.go create mode 100644 src/crypto/tls/internal/hpke/test-vectors.json create mode 100644 src/crypto/tls/internal/syntax/LICENSE create mode 100644 src/crypto/tls/internal/syntax/README.md create mode 100644 src/crypto/tls/internal/syntax/decode.go create mode 100644 src/crypto/tls/internal/syntax/encode.go create mode 100644 src/crypto/tls/internal/syntax/stream.go create mode 100644 src/crypto/tls/internal/syntax/tags.go diff --git a/src/crypto/tls/alert.go b/src/crypto/tls/alert.go index 4790b737245..755083b866c 100644 --- a/src/crypto/tls/alert.go +++ b/src/crypto/tls/alert.go @@ -48,6 +48,7 @@ const ( alertUnknownPSKIdentity alert = 115 alertCertificateRequired alert = 116 alertNoApplicationProtocol alert = 120 + alertECHRequired alert = 121 ) var alertText = map[alert]string{ @@ -84,6 +85,7 @@ var alertText = map[alert]string{ alertUnknownPSKIdentity: "unknown PSK identity", alertCertificateRequired: "certificate required", alertNoApplicationProtocol: "no application protocol", + alertECHRequired: "ECH required", } func (e alert) String() string { diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index b2580d232bc..6051cff2602 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -102,6 +102,8 @@ const ( extensionSignatureAlgorithmsCert uint16 = 50 extensionKeyShare uint16 = 51 extensionRenegotiationInfo uint16 = 0xff01 + extensionECH uint16 = 0xfe08 // draft-ietf-tls-esni-08 + extensionECHOuterExtensions uint16 = 0xfd00 // draft-ietf-tls-esni-08 ) // TLS signaling cipher suite values @@ -214,6 +216,41 @@ const ( // include downgrade canaries even if it's using its highers supported version. var testingOnlyForceDowngradeCanary bool +// testingTriggerHRR causes the server to intentionally trigger a +// HelloRetryRequest (HRR). This is useful for testing new TLS features that +// change the HRR codepath. +var testingTriggerHRR bool + +// testingECHTriggerBypassAfterHRR causes the client to bypass ECH after HRR. +// If available, the client will offer ECH in the first CH only. +var testingECHTriggerBypassAfterHRR bool + +// testingECHTriggerBypassBeforeHRR causes the client to bypass ECH before HRR. +// The client will offer ECH in the second CH only. +var testingECHTriggerBypassBeforeHRR bool + +// testingECHIllegalHandleAfterHRR causes the client to illegally change the ECH +// extension after HRR. +var testingECHIllegalHandleAfterHRR bool + +// testingECHTriggerPayloadDecryptError causes the client to to send an +// inauthentic payload. +var testingECHTriggerPayloadDecryptError bool + +// testingECHOuterExtMany causes a client to incorporate a sequence of +// outer extensions into the ClientHelloInner when it offers the ECH extension. +// The "key_share" extension is the only incorporated extension by default. +var testingECHOuterExtMany bool + +// testingECHOuterExtNone causes a client to not use the "outer_extension" +// mechanism for ECH. The "key_shares" extension is incorporated by default. +var testingECHOuterExtNone bool + +// testingECHOuterExtIncorrectOrder causes the client to send the +// "outer_extension" extension in the wrong order when offering the ECH +// extension. +var testingECHOuterExtIncorrectOrder bool + // ConnectionState records basic TLS details about the connection. type ConnectionState struct { // Version is the TLS version used by the connection (e.g. VersionTLS12). @@ -277,6 +314,10 @@ type ConnectionState struct { // RFC 7627, and https://mitls.org/pages/attacks/3SHAKE#channelbindings. TLSUnique []byte + // ECHAccepted is set if the ECH extension was offered by the client and + // accepted by the server. + ECHAccepted bool + // ekm is a closure exposed via ExportKeyingMaterial. ekm func(label string, context []byte, length int) ([]byte, error) } @@ -639,7 +680,8 @@ type Config struct { // SessionTicketsDisabled may be set to true to disable session ticket and // PSK (resumption) support. Note that on clients, session ticket support is - // also disabled if ClientSessionCache is nil. + // also disabled if ClientSessionCache is nil. On clients or servers, + // support is disabled if the ECH extension is enabled. SessionTicketsDisabled bool // SessionTicketKey is used by TLS servers to provide session resumption. @@ -689,6 +731,30 @@ type Config struct { // used for debugging. KeyLogWriter io.Writer + // ECHEnabled determines whether the ECH extension is enabled for this + // connection. + ECHEnabled bool + + // ClientECHConfigs are the parameters used by the client when it offers the + // ECH extension. If ECH is enabled, a suitable configuration is found, and + // the client supports TLS 1.3, then it will offer ECH in this handshake. + // Otherwise, if ECH is enabled, it will send a dummy ECH extension. + ClientECHConfigs []ECHConfig + + // ServerECHProvider is the ECH provider used by the client-facing server + // for the ECH extension. If the client offers ECH and TLS 1.3 is + // negotiated, then the provider is used to compute the HPKE context + // (draft-irtf-cfrg-hpke-05), which in turn is used to decrypt the extension + // payload. + ServerECHProvider ECHProvider + + // EXP_EventHandler, if set, is called by the client and server at various + // points during the handshake to handle specific events. For example, this + // callback can be used to record metrics. + // + // NOTE: This API is EXPERIMENTAL and subject to change. + EXP_EventHandler func(event EXP_Event) + // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex // sessionTicketKeys contains zero or more ticket keys. If set, it means the @@ -778,6 +844,10 @@ func (c *Config) Clone() *Config { DynamicRecordSizingDisabled: c.DynamicRecordSizingDisabled, Renegotiation: c.Renegotiation, KeyLogWriter: c.KeyLogWriter, + ECHEnabled: c.ECHEnabled, + ClientECHConfigs: c.ClientECHConfigs, + ServerECHProvider: c.ServerECHProvider, + EXP_EventHandler: c.EXP_EventHandler, sessionTicketKeys: c.sessionTicketKeys, autoSessionTicketKeys: c.autoSessionTicketKeys, } @@ -954,6 +1024,23 @@ func (c *Config) supportedVersions() []uint16 { return versions } +func (c *Config) supportedVersionsFromMin(minVersion uint16) []uint16 { + versions := make([]uint16, 0, len(supportedVersions)) + for _, v := range supportedVersions { + if c != nil && c.MinVersion != 0 && v < c.MinVersion { + continue + } + if c != nil && c.MaxVersion != 0 && v > c.MaxVersion { + continue + } + if v < minVersion { + continue + } + versions = append(versions, v) + } + return versions +} + func (c *Config) maxSupportedVersion() uint16 { supportedVersions := c.supportedVersions() if len(supportedVersions) == 0 { diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 72ad52c194b..8390b86a8f7 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -114,6 +114,24 @@ type Conn struct { activeCall int32 tmp [16]byte + + ech struct { + offered bool + greased bool + accepted bool + retryConfigs []byte // The retry configurations + hrrPsk []byte // The HRR pre-shared key, used in case of HRR. + + // When offering ECH, the ClientHelloInner.random sent prior to HRR. + hrrInnerRandom []byte + + // When sending dummy ECH, the config_id sent prior to HRR. + hrrConfigId []byte + } + + // Set by the client and server when an HRR message was sent in this + // handshake. + hrrTriggered bool } // Access to net.Conn methods. @@ -691,6 +709,12 @@ func (c *Conn) readRecordOrCCS(expectChangeCipherSpec bool) error { return c.in.setErrorLocked(io.EOF) } if c.vers == VersionTLS13 { + if !c.isClient && c.ech.greased && alert(data[1]) == alertECHRequired { + // This condition indicates that the client intended to offer + // ECH, but did not use a known ECH config. + c.ech.offered = true + c.ech.greased = false + } return c.in.setErrorLocked(&net.OpError{Op: "remote error", Err: alert(data[1])}) } switch data[0] { @@ -1335,6 +1359,29 @@ func (c *Conn) Close() error { if err := c.conn.Close(); err != nil { return err } + + // Resolve ECH status. + if !c.isClient && c.config.MaxVersion < VersionTLS13 { + c.handleEvent(EXP_EventECHServerStatus(echStatusBypassed)) + } else if !c.ech.offered { + if !c.ech.greased { + c.handleEvent(EXP_EventECHClientStatus(echStatusBypassed)) + } else { + c.handleEvent(EXP_EventECHClientStatus(echStatusOuter)) + } + } else { + c.handleEvent(EXP_EventECHClientStatus(echStatusInner)) + if !c.ech.accepted { + if len(c.ech.retryConfigs) > 0 { + c.handleEvent(EXP_EventECHServerStatus(echStatusOuter)) + } else { + c.handleEvent(EXP_EventECHServerStatus(echStatusBypassed)) + } + } else { + c.handleEvent(EXP_EventECHServerStatus(echStatusInner)) + } + } + return alertErr } @@ -1424,6 +1471,7 @@ func (c *Conn) connectionStateLocked() ConnectionState { state.VerifiedChains = c.verifiedChains state.SignedCertificateTimestamps = c.scts state.OCSPResponse = c.ocspResponse + state.ECHAccepted = c.ech.accepted if !c.didResume && c.vers != VersionTLS13 { if c.clientFinishedIsFirst { state.TLSUnique = c.clientFinished[:] @@ -1469,3 +1517,9 @@ func (c *Conn) VerifyHostname(host string) error { func (c *Conn) handshakeComplete() bool { return atomic.LoadUint32(&c.handshakeStatus) == 1 } + +func (c *Conn) handleEvent(event EXP_Event) { + if c.config.EXP_EventHandler != nil { + c.config.EXP_EventHandler(event) + } +} diff --git a/src/crypto/tls/ech.go b/src/crypto/tls/ech.go new file mode 100644 index 00000000000..7ebe7b9c389 --- /dev/null +++ b/src/crypto/tls/ech.go @@ -0,0 +1,1068 @@ +// Copyright 2020 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + +package tls + +import ( + "bytes" + "crypto/tls/internal/hpke" + "errors" + "fmt" + "io" + + "golang.org/x/crypto/cryptobyte" +) + +const ( + // Constants for TLS operations + echTls13LabelAcceptConfirm = "ech accept confirmation" + + // Constants for HPKE operations + echHpkeInfoInnerDigest = "tls ech inner digest" + echHpkeInfoConfigId = "tls ech config id" + echHpkeInfoSetup = "tls ech" + echHpkeHrrKeyExporter = "tls ech hrr key" + echHpkeHrrKeyId = "hrr key" + echHpkeHrrKeyLen = 32 + + // Constants for ECH status events + echStatusBypassed = 1 + iota + echStatusInner + echStatusOuter +) + +// EXP_EventECHClientStatus is emitted once it is known whether the client +// bypassed, offered, or greased ECH. +// +// NOTE: This API is EXPERIMENTAL and subject to change. +type EXP_EventECHClientStatus int + +// Bypassed returns true if the client bypassed ECH. +func (e EXP_EventECHClientStatus) Bypassed() bool { + return e == echStatusBypassed +} + +// Offered returns true if the client offered ECH. +func (e EXP_EventECHClientStatus) Offered() bool { + return e == echStatusInner +} + +// Greased returns true if the client greased ECH. +func (e EXP_EventECHClientStatus) Greased() bool { + return e == echStatusOuter +} + +// Name is required by the EXP_Event interface. +func (e EXP_EventECHClientStatus) Name() string { + return "ech client status" +} + +// EXP_EventECHServerStatus is emitted once it is known whether the client +// bypassed, offered, or greased ECH. +// +// NOTE: This API is EXPERIMENTAL and subject to change. +type EXP_EventECHServerStatus int + +// Bypassed returns true if the client bypassed ECH. +func (e EXP_EventECHServerStatus) Bypassed() bool { + return e == echStatusBypassed +} + +// Accepted returns true if the client offered ECH. +func (e EXP_EventECHServerStatus) Accepted() bool { + return e == echStatusInner +} + +// Rejected returns true if the client greased ECH. +func (e EXP_EventECHServerStatus) Rejected() bool { + return e == echStatusOuter +} + +// Name is required by the EXP_Event interface. +func (e EXP_EventECHServerStatus) Name() string { + return "ech server status" +} + +// A dummy client-facing server public key used to generate covertext for the +// ECH extension. This is a random 32-byte string, which will be interpreted as +// an X25519 public key. +var echDummyX25519PublicKey = []byte{ + 143, 38, 37, 36, 12, 6, 229, 30, 140, 27, 167, 73, 26, 100, 203, 107, 216, + 81, 163, 222, 52, 211, 54, 210, 46, 37, 78, 216, 157, 97, 241, 244, +} + +// TODO(cjpatton): "[When offering ECH, the client] MUST NOT offer to resume any +// session for TLS 1.2 and below [in ClientHelloInner]." +// +// TODO(cjpatton): "[When offering ECH, the client] MUST NOT include the +// "pre_shared_key" extension [in ClientHelloOuter]." This is a "don't stick +// out" issue. +// +// TODO(cjpatton): Implement client-side padding. +func (c *Conn) echOfferOrGrease(helloBase *clientHelloMsg) (hello, helloInner *clientHelloMsg, err error) { + config := c.config + + if !config.ECHEnabled || + (c.hrrTriggered && testingECHTriggerBypassAfterHRR) || + (!c.hrrTriggered && testingECHTriggerBypassBeforeHRR) { + // Bypass ECH without providing covertext. + return helloBase, nil, nil + } + + // Decide whether to offer the ECH extension in this connection, If offered, + // then hello is set to the ClientHelloOuter and helloInner is set to the + // ClientHelloInner. + if echConfig := config.echSelectConfig(); echConfig != nil && + config.maxSupportedVersion() >= VersionTLS13 { + + // Construct the ClientHelloInner. + // + // Make a copy of helloBase, add an empty ECH extension, and generate a + // fresh random value. + helloInner = new(clientHelloMsg) + *helloInner = *helloBase + + // Set "encrypted_client_hello" with an empty payload. + helloInner.encryptedClientHelloOffered = true + + // Ensure that only TLS 1.3 and above are offered. + if v := helloInner.supportedVersions; v[len(v)-1] < VersionTLS13 { + return nil, nil, errors.New("tls: ech: TLS 1.3 required") + } + + // Set "random". + if len(c.ech.hrrInnerRandom) == 0 { + // Generate a fresh "random". + helloInner.random = make([]byte, 32) + _, err := io.ReadFull(config.rand(), helloInner.random) + if err != nil { + return nil, nil, errors.New("tls: short read from Rand: " + err.Error()) + } + } else { + // After HRR, use the "random" sent in the first ClientHelloInner. + helloInner.random = c.ech.hrrInnerRandom + } + + // Construct the EncodedClientHelloInner. + // + // NOTE(cjpatton): It would be nice to incorporate more extensions, but + // "key_share" is the last extension to appear in the ClientHello before + // "pre_shared_key". As a result, the only contiguous sequence of outer + // extensions that contains "key_share" is "key_share" itself. Note that + // we cannot change the order of extensions in the ClientHello, as the + // unit tests expect "key_share" to be second to last extension. + outerExtensions := []uint16{extensionKeyShare} + if testingECHOuterExtMany { + // NOTE(cjpatton): Incorporating this particular sequence does not + // yield significant savings. However, it's useful to test that our + // server correctly handles a sequence of compressed extensions and + // not just one. + outerExtensions = []uint16{ + extensionStatusRequest, + extensionSupportedCurves, + extensionSupportedPoints, + } + } else if testingECHOuterExtNone { + outerExtensions = nil + } + encodedHelloInner, ok := echEncodeClientHelloInner(helloInner.marshal(), outerExtensions) + if !ok { + return nil, nil, errors.New("tls: ech: encoding of EncodedClientHelloInner failed") + } + + // Construct the ClientHelloOuter. + // + // Generate a fresh ClientHello, but replace "key_share" and "random", + // and "session_id" with the values generated for helloBase and set + // "server_name" to be the client-facing server. + hello, _, err = c.makeClientHello(config.MinVersion) + if err != nil { + return nil, nil, fmt.Errorf("tls: ech: %s", err) + } + + // Set "random". + hello.random = helloBase.random + + // Set "session_id" to be the same as ClientHelloInner. + hello.sessionId = helloBase.sessionId + + // Set "key_share" to the same as ClientHelloInner. + hello.keyShares = helloBase.keyShares + + // Set "server_name" to be the client-facing server. + hello.serverName = hostnameInSNI(string(echConfig.rawPublicName)) + + // Encrypt EncodedClientHelloInner. + // + // AEAD encryption authenticates the ClientHelloOuter sans the + // "encrypted_client_hello" extension. + helloOuterAad := hello.marshal() + + // Prepare the encryption context. Note that c.ech.hrrPsk is initially + // nil, meaning no PSK is used for encrypting the first ClientHelloInner + // in case of HRR. + ctx, enc, err := echConfig.setupClientContext(c.ech.hrrPsk, config.rand()) + if err != nil { + return nil, nil, fmt.Errorf("tls: ech: %s", err) + } + + // Finish ClientHelloOuter. + var ech echClient + ech.handle.suite = ctx.cipherSuite() + ech.handle.configId = ctx.configId(echConfig.raw) + ech.handle.enc = enc + ech.payload = ctx.seal(helloOuterAad, encodedHelloInner) + if testingECHTriggerPayloadDecryptError { + // Send inauthentic payload. + ech.payload[0] ^= 0xff + } + hello.encryptedClientHelloOffered = true + hello.encryptedClientHello = ech.marshal() + + // Update the HRR pre-shared-key. This is used to encrypt the second + // ClientHelloInner in case the server sends an HRR. + c.ech.hrrPsk = ctx.hrrPsk() + + // Record the "random" sent in the ClientHelloInner. This value will be + // used for the second ClientHelloInner in case the server sends an HRR. + c.ech.hrrInnerRandom = helloInner.random + + // Offer ECH. + c.ech.offered = true + helloInner.raw = nil + hello.raw = nil + return hello, helloInner, nil + } + + hello = new(clientHelloMsg) + *hello = *helloBase + + // Produce covertext for the ECH extension. + // + // Using a hard-coded KEM public key, generate a fresh encapsulated key + // "enc". Generate a random "config_id" and "payload" of appropriate length. + hpkeSuite, err := hpkeAssembleCipherSuite(dummyKemId, dummyKdfId, dummyAeadId) + if err != nil { + return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + } + pk, err := hpkeSuite.KEM.Deserialize(echDummyX25519PublicKey) + if err != nil { + return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + } + + // Compute the dummy context handle ("cipher_suite", "config_id", and + // "enc"). + var dummyEch echClient + dummyEch.handle.suite.kdfId = dummyKdfId + dummyEch.handle.suite.aeadId = dummyAeadId + if !c.hrrTriggered { + dummyEch.handle.configId = make([]byte, dummyKdfOutputLen) + if _, err = io.ReadFull(config.rand(), dummyEch.handle.configId); err != nil { + return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + } + c.ech.hrrConfigId = dummyEch.handle.configId + } else { + // After HRR, the server checks these fields match. + dummyEch.handle.configId = c.ech.hrrConfigId + } + dummyEch.handle.enc, _, err = hpke.SetupBaseS(hpkeSuite, config.rand(), pk, nil) + if err != nil { + return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + } + + // Compute the dummy "payload". + dummyEncodedHelloInnerLen := 100 // TODO(cjpatton): Compute this correctly. + dummyEch.payload = make([]byte, dummyEncodedHelloInnerLen+dummyAeadOverheadLen) + if _, err = io.ReadFull(config.rand(), dummyEch.payload); err != nil { + return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + } + + // Add the dummy ECH extension to the ClientHello. + hello.encryptedClientHelloOffered = true + hello.encryptedClientHello = dummyEch.marshal() + + // Bypass ECH and provide covertext. + c.ech.offered = false + c.ech.greased = true + hello.raw = nil + return hello, nil, nil +} + +func (c *Conn) echAcceptOrBypass(hello *clientHelloMsg) (*clientHelloMsg, error) { + config := c.config + echProvider := config.ServerECHProvider + + // Decide whether to bypass ECH. + echSentBeforeHrr := c.ech.offered || c.ech.greased + if !config.echCanAccept() || + !hello.encryptedClientHelloOffered || + len(hello.encryptedClientHello) == 0 { + if c.hrrTriggered && echSentBeforeHrr { + // Detect illegal second ClientHello. + c.sendAlert(alertIllegalParameter) + return nil, errors.New("ech: hrr: bypass after offer") + } + + // Bypass ECH. + return hello, nil + } + + if c.hrrTriggered && !echSentBeforeHrr { + // Detect illegal second ClientHello. + c.sendAlert(alertIllegalParameter) + return nil, errors.New("ech: hrr: offer after bypass") + } + + // Parse the payload of the ECH extension. + ech, err := echUnmarshalClient(hello.encryptedClientHello) + if err != nil { + c.sendAlert(alertIllegalParameter) + return nil, fmt.Errorf("ech: %s", err) + } + + if c.hrrTriggered && !bytes.Equal(ech.handle.configId, c.ech.hrrConfigId) { + // Detect illegal second ClientHello + c.sendAlert(alertIllegalParameter) + return nil, errors.New("ech: hrr: illegal handle in second ClientHello") + } + c.ech.hrrConfigId = ech.handle.configId + + // Ask the ECH provider for the decryption context. Note that c.ech.hrrPsk + // is initially nil, meaning no PSK is used for encrypting the first + // ClientHelloInner. + res := echProvider.GetContext(ech.handle.marshal(), c.ech.hrrPsk, extensionECH) + reject := func() (*clientHelloMsg, error) { + if c.hrrTriggered && c.ech.accepted { + // ECH was accepted prior to HRR then rejected after. Because the + // configuration identifier is the same in the first ClientHello as + // it is in the second, this indicates a server failure, likely due + // to the ECH key being rotated. + c.sendAlert(alertInternalError) + return nil, errors.New("ech: hrr: reject after accept") + } + + // Presume the client sent a dummy extension until we have information + // to the contrary. We won't know whether the client intended to offer + // ECH unless it sends an "ech_required" alert. + c.ech.greased = true + + // Send retry configs just in case our presumption is wrong and the + // client intended to offer ECH. + c.ech.retryConfigs = res.RetryConfigs + + // Proceed with ClientHelloOuter. + return hello, nil + } + + if res.Status == ECHProviderAbort { + if alert := alert(res.Alert); alert == alertIllegalParameter { + // This alert signals that the context handle sent by the client is + // malformed. An abort here would stick out, so reject instead. + return reject() + } else { + c.sendAlert(alert) + return nil, fmt.Errorf("ech: %s", err) + } + } + + if res.Status == ECHProviderReject { + // Reject ECH. + return reject() + } + + if res.Status != ECHProviderSuccess { + // This shouldn't happen. + c.sendAlert(alertInternalError) + return nil, errors.New("ech: expected success") + } + + ctx, err := echUnmarshalServerContext(res.Context) + if err != nil { + c.sendAlert(alertInternalError) + return nil, fmt.Errorf("ech: %s", err) + } + + helloOuterAad, ok := encodeClientHelloOuterAAD(hello.raw, extensionECH) + if !ok { + // This occurs if the ClientHelloOuter is malformed. This values was + // already parsed into `hello`, so this should not happen. + c.sendAlert(alertInternalError) + return nil, fmt.Errorf("ech: failed to compute ClientHelloOuterAAD") + } + + rawEncodedHelloInner, err := ctx.open(helloOuterAad, ech.payload) + if err != nil { + if c.hrrTriggered && c.ech.accepted { + // Don't reject after accept, as this would result in processing the + // ClientHelloOuter after processing the ClientHelloInner. + c.sendAlert(alertDecryptError) + return nil, fmt.Errorf("ech: hrr: decryption failure after acceptance: %s", err) + } + + // Reject ECH. + return reject() + } + + rawHelloInner, ok := echDecodeClientHelloInner(rawEncodedHelloInner, hello.marshal(), hello.sessionId) + if !ok { + c.sendAlert(alertIllegalParameter) + return nil, fmt.Errorf("ech: %s", err) + } + + helloInner := new(clientHelloMsg) + if !helloInner.unmarshal(rawHelloInner) { + c.sendAlert(alertIllegalParameter) + return nil, fmt.Errorf("ech: %s", err) + } + + // Update the HRR pre-shared-key. This is used to decrypt the second + // ClientHelloInner in case an HRR is sent. + c.ech.hrrPsk = ctx.hrrPsk() + + if c.hrrTriggered && !c.ech.accepted { + // ECH was not accepted prior to HRR then accepted after. Because the + // configuration identifier is the same in the first ClientHello as it + // is in the second, this indicates a server failure, likely due to the + // ECH key being rotated. + c.sendAlert(alertInternalError) + return nil, errors.New("ech: hrr: accept after reject") + } + + // Accept ECH. + c.ech.offered = true + c.ech.accepted = true + return helloInner, nil +} + +// echCipherSuite represents an ECH ciphersuite, a KDF/AEAD algorithm pair. This +// is different from an HPKE ciphersuite, which represents a KEM, KDF, and an +// AEAD algorithm. +type echCipherSuite struct { + kdfId, aeadId uint16 +} + +// echUnmarshalHpkePublicKey parses a serialized public key for the KEM algorithm +// identified by `kemId`. +func echUnmarshalHpkePublicKey(raw []byte, kemId uint16) (hpke.KEMPublicKey, error) { + // NOTE: Stand-in values for KDF/AEAD algorithms are ignored. + hpkeSuite, err := hpkeAssembleCipherSuite(kemId, dummyKdfId, dummyAeadId) + if err != nil { + return nil, err + } + return hpkeSuite.KEM.Deserialize(raw) +} + +// echUnmarshalHpkeSecretKey parses a serialized secret key for the KEM algorithm +// identified by `kemId`. +func echUnmarshalHpkeSecretKey(raw []byte, kemId uint16) (hpke.KEMPrivateKey, error) { + // NOTE: Stand-in values for KDF/AEAD algorithms are ignored. + hpkeSuite, err := hpkeAssembleCipherSuite(kemId, dummyKdfId, dummyAeadId) + if err != nil { + return nil, err + } + return hpkeSuite.KEM.DeserializePrivate(raw) +} + +// echCreateHpkeKdf returns an HPKE KDF scheme. +func echCreateHpkeKdf(kdfId uint16) (hpke.KDFScheme, error) { + // NOTE: Stand-in values for KEM/AEAD algorithms are ignored. + hpkeSuite, err := hpkeAssembleCipherSuite(dummyKemId, kdfId, dummyAeadId) + if err != nil { + return nil, err + } + return hpkeSuite.KDF, nil +} + +func echIsCipherSuiteSupported(suite echCipherSuite) bool { + // NOTE: Stand-in values for KEM algorithm is ignored. + _, err := hpkeAssembleCipherSuite(dummyKemId, suite.kdfId, suite.aeadId) + return err == nil +} + +func echIsKemSupported(kemId uint16) bool { + // NOTE: Stand-in values for KDF/AEAD algorithms are ignored. + _, err := hpkeAssembleCipherSuite(kemId, dummyKdfId, dummyAeadId) + return err == nil +} + +// echContent represents an HPKE context (irtf-cfrg-hpke-05). +type echContext struct { + enc *hpke.EncryptContext + dec *hpke.DecryptContext + isClient bool + hpkeSuite hpke.CipherSuite +} + +// cipherSuite returns the ECH ciphersuite for this HPKE context. +func (ctx *echContext) cipherSuite() echCipherSuite { + return echCipherSuite{ + kdfId: uint16(ctx.hpkeSuite.KDF.ID()), + aeadId: uint16(ctx.hpkeSuite.AEAD.ID()), + } +} + +// echUnmarshalServerContext parses the server's HPKE context. +func echUnmarshalServerContext(raw []byte) (*echContext, error) { + decryptechContext, err := hpke.UnmarshalDecryptContext(raw) + if err != nil { + return nil, err + } + + hpkeSuite, err := hpkeAssembleCipherSuite(uint16(decryptechContext.KEMID), uint16(decryptechContext.KDFID), uint16(decryptechContext.AEADID)) + if err != nil { + return nil, err + } + + return &echContext{ + enc: nil, + dec: decryptechContext, + isClient: false, + hpkeSuite: hpkeSuite, + }, nil +} + +// marshalServer returns the server's serialized HPKE context. +func (ctx *echContext) marshalServer() ([]byte, error) { + return ctx.dec.Marshal() +} + +// encrypt seals the ClientHelloInner in the client's HPKE context. +func (ctx *echContext) seal(aad, inner []byte) (payload []byte) { + if !ctx.isClient { + panic("seal() is not defined for server") + } + return ctx.enc.Seal(aad, inner) +} + +// decrypt opens the encrypted ClientHelloInner in the server's HPKE context. +func (ctx *echContext) open(aad, payload []byte) (inner []byte, err error) { + if ctx.isClient { + panic("open() is not defined for client") + } + return ctx.dec.Open(aad, payload) +} + +// hrrPsk returns the PSK used to bind the first ClientHelloOuter to the second +// in case the backend server sends a HelloRetryRequest. +func (ctx *echContext) hrrPsk() []byte { + if ctx.isClient { + return ctx.enc.Export([]byte(echHpkeHrrKeyExporter), echHpkeHrrKeyLen) + } + return ctx.dec.Export([]byte(echHpkeHrrKeyExporter), echHpkeHrrKeyLen) +} + +// configId computes the configuration identifier for a serialized ECHConfig. +func (ctx *echContext) configId(config []byte) []byte { + kdf := ctx.hpkeSuite.KDF + return kdf.Expand(kdf.Extract(nil, config), []byte(echHpkeInfoConfigId), kdf.OutputSize()) +} + +// echClient represents a ClientECH structure, the payload of the client's +// "encrypted_client_hello" extension. +type echClient struct { + raw []byte + + // Parsed from raw + handle echContextHandle + payload []byte +} + +// echUnmarshalClient parses a ClientECH structure. The caller provides the ECH +// version indicated by the client. +func echUnmarshalClient(raw []byte) (*echClient, error) { + // Parse the payload as a ClientECH structure. + ech := new(echClient) + ech.raw = raw + + // Parse the context handle. + s := cryptobyte.String(raw) + if !echReadContextHandle(&s, &ech.handle) { + return nil, fmt.Errorf("error parsing context handle") + } + ech.handle.raw = raw[:len(raw)-len(s)] + + // Parse the payload. + var t cryptobyte.String + if !s.ReadUint16LengthPrefixed(&t) || + !t.ReadBytes(&ech.payload, len(t)) || !s.Empty() { + return nil, fmt.Errorf("error parsing payload") + } + + return ech, nil +} + +func (ech *echClient) marshal() []byte { + if ech.raw != nil { + return ech.raw + } + var b cryptobyte.Builder + b.AddBytes(ech.handle.marshal()) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(ech.payload) + }) + return b.BytesOrPanic() +} + +// echContexttHandle represents the prefix of a ClientECH structure used by +// the server to compute the HPKE context. +type echContextHandle struct { + raw []byte + + // Parsed from raw + suite echCipherSuite + configId []byte + enc []byte +} + +func (handle *echContextHandle) marshal() []byte { + if handle.raw != nil { + return handle.raw + } + var b cryptobyte.Builder + b.AddUint16(handle.suite.kdfId) + b.AddUint16(handle.suite.aeadId) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(handle.configId) + }) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(handle.enc) + }) + return b.BytesOrPanic() +} + +func echReadContextHandle(s *cryptobyte.String, handle *echContextHandle) bool { + var t cryptobyte.String + if !s.ReadUint16(&handle.suite.kdfId) || // cipher_suite.kdf_id + !s.ReadUint16(&handle.suite.aeadId) || // cipher_suite.aead_id + !s.ReadUint8LengthPrefixed(&t) || // config_id + !t.ReadBytes(&handle.configId, len(t)) || + !s.ReadUint16LengthPrefixed(&t) || // enc + !t.ReadBytes(&handle.enc, len(t)) { + return false + } + return true +} + +// echEncodeClientHelloInner interprets data as a ClientHelloInner message and +// transforms into an EncodedClinetHelloInner. It also returns a bool indicating +// if parsing the ClientHelloInner succeeded. +// +// outerExtensions specifies the contiguous sequence of extensions that will be +// incorporated. +func echEncodeClientHelloInner(data []byte, outerExtensions []uint16) ([]byte, bool) { + var ( + errReadFailure = errors.New("read failure") + msgType uint8 + legacyVersion uint16 + random []byte + legacySessionId cryptobyte.String + cipherSuites cryptobyte.String + legacyCompressionMethods cryptobyte.String + extensions cryptobyte.String + s cryptobyte.String + b cryptobyte.Builder + ) + + u := cryptobyte.String(data) + if !u.ReadUint8(&msgType) || + !u.ReadUint24LengthPrefixed(&s) || !u.Empty() { + return nil, false + } + + if !s.ReadUint16(&legacyVersion) || + !s.ReadBytes(&random, 32) || + !s.ReadUint8LengthPrefixed(&legacySessionId) || + !s.ReadUint16LengthPrefixed(&cipherSuites) || + !s.ReadUint8LengthPrefixed(&legacyCompressionMethods) { + return nil, false + } + + if s.Empty() { + // Extensions field must be present in TLS 1.3. + return nil, false + } + + if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { + return nil, false + } + + b.AddUint16(legacyVersion) + b.AddBytes(random) + b.AddUint8(0) // 0-length legacy_session_id + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(cipherSuites) + }) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(legacyCompressionMethods) + }) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + if testingECHOuterExtIncorrectOrder { + // Replace outer extensions with "outer_extension" extension, but in + // the incorrect order. + echAddOuterExtensions(b, outerExtensions) + } + + for !extensions.Empty() { + var ext uint16 + var extData cryptobyte.String + if !extensions.ReadUint16(&ext) || + !extensions.ReadUint16LengthPrefixed(&extData) { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + + if len(outerExtensions) > 0 && ext == outerExtensions[0] { + if !testingECHOuterExtIncorrectOrder { + // Replace outer extensions with "outer_extension" extension. + echAddOuterExtensions(b, outerExtensions) + } + + // Consume the remaining outer extensions. + for _, outerExt := range outerExtensions[1:] { + if !extensions.ReadUint16(&ext) || + !extensions.ReadUint16LengthPrefixed(&extData) { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + if ext != outerExt { + panic("internal error: malformed ClientHelloInner") + } + } + + } else { + b.AddUint16(ext) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(extData) + }) + } + } + }) + + encodedData, err := b.Bytes() + if err == errReadFailure { + return nil, false // Reading failed + } else if err != nil { + panic(err) // Writing failed + } + + return encodedData, true +} + +func echAddOuterExtensions(b *cryptobyte.Builder, outerExtensions []uint16) { + b.AddUint16(extensionECHOuterExtensions) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + for _, outerExt := range outerExtensions { + b.AddUint16(outerExt) + } + }) + }) +} + +// echDecodeClientHelloInner interprets data as an EncodedClientHelloInner +// message and substitutes the "outer_extension" extension with extensions from +// outerData, interpreted as the ClientHelloOuter message. Returns the decoded +// ClientHelloInner and a bool indicating whether parsing +// EncodedClientHelloInner succeeded. +func echDecodeClientHelloInner(data []byte, outerData, outerSessionId []byte) ([]byte, bool) { + var ( + errReadFailure = errors.New("read failure") + legacyVersion uint16 + random []byte + legacySessionId cryptobyte.String + cipherSuites cryptobyte.String + legacyCompressionMethods cryptobyte.String + extensions cryptobyte.String + b cryptobyte.Builder + ) + + s := cryptobyte.String(data) + if !s.ReadUint16(&legacyVersion) || + !s.ReadBytes(&random, 32) || + !s.ReadUint8LengthPrefixed(&legacySessionId) || + !s.ReadUint16LengthPrefixed(&cipherSuites) || + !s.ReadUint8LengthPrefixed(&legacyCompressionMethods) { + return nil, false + } + + if len(legacySessionId) > 0 { + return nil, false + } + + if s.Empty() { + // Extensions field must be present in TLS 1.3. + return nil, false + } + + if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { + return nil, false + } + + b.AddUint8(typeClientHello) + b.AddUint24LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint16(legacyVersion) + b.AddBytes(random) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(outerSessionId) // ClientHelloOuter.legacy_session_id + }) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(cipherSuites) + }) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(legacyCompressionMethods) + }) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + var handledOuterExtensions bool + for !extensions.Empty() { + var ext uint16 + var extData cryptobyte.String + if !extensions.ReadUint16(&ext) || + !extensions.ReadUint16LengthPrefixed(&extData) { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + + if ext == extensionECHOuterExtensions { + if handledOuterExtensions { + // It is an error to send any extension more than once in a + // single message. + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + handledOuterExtensions = true + + // Read the set of outer extension code points. + outer := make(map[uint16]bool) + var outerExtData cryptobyte.String + if !extData.ReadUint8LengthPrefixed(&outerExtData) || + len(outerExtData)%2 != 0 || + !extData.Empty() { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + for !outerExtData.Empty() { + if !outerExtData.ReadUint16(&ext) || + !echIsValidOuterExtension(ext) { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + // Mark outer extension as not yet incorporated. + outer[ext] = false + } + + // Add the outer extensions from the ClientHelloOuter into the + // ClientHelloInner. + if !processClientHelloExtensions(outerData, func(ext uint16, extData cryptobyte.String) bool { + if _, ok := outer[ext]; ok { + b.AddUint16(ext) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(extData) + }) + // Mark outer extension as incorporated. + outer[ext] = true + } + return true + }) { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + + // Ensure that all outer extensions have been incorporated. + for _, incorporated := range outer { + if !incorporated { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + } + } else { + b.AddUint16(ext) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(extData) + }) + } + } + }) + }) + + decodedData, err := b.Bytes() + if err == errReadFailure { + return nil, false // Reading failed + } else if err != nil { + panic(err) // Writing failed + } + + return decodedData, true +} + +// Returns true if the code point is a valid outer extension. +func echIsValidOuterExtension(ext uint16) bool { + // The client MUST NOT attempt to compress the ECH extension. + return !echIsValidVersion(ext) +} + +// Returns true if the code point is for a version of ECH that this package +// implements. +func echIsValidVersion(ext uint16) bool { + return ext == extensionECH +} + +// encodeClientHelloOuterAAD interprets data as ClientHelloOuter and maps it to +// ClientHelloOuterAAD. Returns a bool indicated whether parsing +// ClientHelloOuter succeeded. +func encodeClientHelloOuterAAD(data []byte, ext uint16) ([]byte, bool) { + var ( + errReadFailure = errors.New("read failure") + msgType uint8 + legacyVersion uint16 + random []byte + legacySessionId cryptobyte.String + cipherSuites cryptobyte.String + legacyCompressionMethods cryptobyte.String + extensions cryptobyte.String + s cryptobyte.String + b cryptobyte.Builder + ) + + u := cryptobyte.String(data) + if !u.ReadUint8(&msgType) || + !u.ReadUint24LengthPrefixed(&s) || !u.Empty() { + return nil, false + } + + if !s.ReadUint16(&legacyVersion) || + !s.ReadBytes(&random, 32) || + !s.ReadUint8LengthPrefixed(&legacySessionId) || + !s.ReadUint16LengthPrefixed(&cipherSuites) || + !s.ReadUint8LengthPrefixed(&legacyCompressionMethods) { + return nil, false + } + + if s.Empty() { + // Extensions field must be present in TLS 1.3. + return nil, false + } + + if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { + return nil, false + } + + b.AddUint8(msgType) + b.AddUint24LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint16(legacyVersion) + b.AddBytes(random) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(legacySessionId) + }) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(cipherSuites) + }) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(legacyCompressionMethods) + }) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + for !extensions.Empty() { + var ext uint16 + var extData cryptobyte.String + if !extensions.ReadUint16(&ext) || + !extensions.ReadUint16LengthPrefixed(&extData) { + panic(cryptobyte.BuildError{Err: errReadFailure}) + } + + // Copy all extensions except for ECH. + if ext != extensionECH { + b.AddUint16(ext) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(extData) + }) + } + } + }) + }) + + encodedData, err := b.Bytes() + if err == errReadFailure { + return nil, false // Reading failed + } else if err != nil { + panic(err) // Writing failed + } + + return encodedData, true +} + +// processClientHelloExtensions interprets data as a ClientHello and applies a +// function proc to each extension. Returns a bool indicating whether parsing +// succeeded. +func processClientHelloExtensions(data []byte, proc func(ext uint16, extData cryptobyte.String) bool) bool { + _, extensionsData, ok := splitClientHelloExtensions(data) + if !ok { + return false + } + + s := cryptobyte.String(extensionsData) + if s.Empty() { + // Extensions field not present. + return true + } + + var extensions cryptobyte.String + if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { + return false + } + + for !extensions.Empty() { + var ext uint16 + var extData cryptobyte.String + if !extensions.ReadUint16(&ext) || + !extensions.ReadUint16LengthPrefixed(&extData) { + return false + } + if ok := proc(ext, extData); !ok { + return false + } + } + return true +} + +// splitClientHelloExtensions interprets data as a ClientHello message and +// returns two strings: the first contains the start of the ClientHello up to +// the start of the extensions; and the second is the length-prefixed +// extensions. It also returns a bool indicating whether parsing succeeded. +func splitClientHelloExtensions(data []byte) ([]byte, []byte, bool) { + s := cryptobyte.String(data) + + var ignored uint16 + var t cryptobyte.String + if !s.Skip(4) || // message type and uint24 length field + !s.ReadUint16(&ignored) || !s.Skip(32) || // vers, random + !s.ReadUint8LengthPrefixed(&t) { // session_id + return nil, nil, false + } + + if !s.ReadUint16LengthPrefixed(&t) { // cipher_suites + return nil, nil, false + } + + if !s.ReadUint8LengthPrefixed(&t) { // compression_methods + return nil, nil, false + } + + return data[:len(data)-len(s)], s, true +} + +func (c *Config) echSelectConfig() *ECHConfig { + for _, echConfig := range c.ClientECHConfigs { + // A suitable configuration is one that offers an HPKE ciphersuite that + // is supported by the client and indicates the version of ECH + // implemented by this TLS client. + if echConfig.isSupported() && echIsValidVersion(echConfig.version) { + return &echConfig + } + } + return nil +} + +func (c *Config) echCanOffer() bool { + if c == nil { + return false + } + return c.ECHEnabled && c.echSelectConfig() != nil && c.maxSupportedVersion() >= VersionTLS13 +} + +func (c *Config) echCanAccept() bool { + if c == nil { + return false + } + return c.ECHEnabled && c.ServerECHProvider != nil && c.maxSupportedVersion() >= VersionTLS13 +} diff --git a/src/crypto/tls/ech_config.go b/src/crypto/tls/ech_config.go new file mode 100644 index 00000000000..8d51eb9713d --- /dev/null +++ b/src/crypto/tls/ech_config.go @@ -0,0 +1,183 @@ +// Copyright 2020 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + +package tls + +import ( + "crypto/tls/internal/hpke" + "errors" + "fmt" + "io" + + "golang.org/x/crypto/cryptobyte" +) + +var ( + echUnrecognizedVersionError = errors.New("unrecognized version") +) + +// ECHConfig represents an ECH configuration. +type ECHConfig struct { + pk hpke.KEMPublicKey + raw []byte + + // Parsed from raw + version uint16 + rawPublicName []byte + rawPublicKey []byte + kemId uint16 + suites []echCipherSuite + maxNameLen uint16 + ignoredExtensions []byte +} + +// UnmarshalECHConfigs parses a sequence of ECH configurations. +func UnmarshalECHConfigs(raw []byte) ([]ECHConfig, error) { + var err error + var config ECHConfig + configs := make([]ECHConfig, 0) + s := cryptobyte.String(raw) + var t, contents cryptobyte.String + if !s.ReadUint16LengthPrefixed(&t) || !s.Empty() { + return configs, errors.New("error parsing configs") + } + raw = raw[2:] + for !t.Empty() { + l := len(t) + if !t.ReadUint16(&config.version) || + !t.ReadUint16LengthPrefixed(&contents) { + return nil, errors.New("error parsing config") + } + n := l - len(t) + if config.version == extensionECH { + if !readConfigContents(&contents, &config) { + return nil, errors.New("error parsing config contents") + } + config.pk, err = echUnmarshalHpkePublicKey(config.rawPublicKey, config.kemId) + if err != nil { + return nil, err + } + config.raw = raw[:n] + configs = append(configs, config) + } + raw = raw[n:] + } + return configs, nil +} + +func echUnmarshalConfig(raw []byte) (*ECHConfig, error) { + var err error + config := new(ECHConfig) + s := cryptobyte.String(raw) + var contents cryptobyte.String + if !s.ReadUint16(&config.version) || + !s.ReadUint16LengthPrefixed(&contents) || + !s.Empty() { + return nil, errors.New("error parsing config") + } + if config.version != extensionECH { + return nil, echUnrecognizedVersionError + } + if !readConfigContents(&contents, config) || !s.Empty() { + return nil, errors.New("error parsing config contents") + } + config.pk, err = echUnmarshalHpkePublicKey(config.rawPublicKey, config.kemId) + if err != nil { + return nil, err + } + config.raw = raw + return config, nil +} + +func readConfigContents(contents *cryptobyte.String, config *ECHConfig) bool { + var t cryptobyte.String + if !contents.ReadUint16LengthPrefixed(&t) || + !t.ReadBytes(&config.rawPublicName, len(t)) || + !contents.ReadUint16LengthPrefixed(&t) || + !t.ReadBytes(&config.rawPublicKey, len(t)) || + !contents.ReadUint16(&config.kemId) || + !contents.ReadUint16LengthPrefixed(&t) || + len(t)%4 != 0 { + return false + } + + for !t.Empty() { + var kdfId, aeadId uint16 + if !t.ReadUint16(&kdfId) || !t.ReadUint16(&aeadId) { + // This indicates an internal bug. + panic("internal error while parsing contents.cipher_suites") + } + config.suites = append(config.suites, echCipherSuite{kdfId, aeadId}) + } + + if !contents.ReadUint16(&config.maxNameLen) || + !contents.ReadUint16LengthPrefixed(&t) || + !t.ReadBytes(&config.ignoredExtensions, len(t)) || + !contents.Empty() { + return false + } + return true +} + +// setupClientContext generates the client's HPKE context for use with the ECH +// extension. Returns the context and corresponding encapsulated key. If hrrPsK +// is set, then "SetupPSKS()" is used to generate the context. Otherwise, +// "SetupBaseS()" is used. (See irtf-cfrg-hpke-05 for details.) +func (config *ECHConfig) setupClientContext(hrrPsk []byte, rand io.Reader) (ctx *echContext, enc []byte, err error) { + suite, err := config.selectCipherSuite() + if err != nil { + return nil, nil, err + } + + hpkeSuite, err := hpkeAssembleCipherSuite(config.kemId, suite.kdfId, suite.aeadId) + if err != nil { + return nil, nil, err + } + + info := append(append([]byte(echHpkeInfoSetup), 0), config.raw...) + var encryptedContext *hpke.EncryptContext + if hrrPsk != nil { + enc, encryptedContext, err = hpke.SetupPSKS(hpkeSuite, rand, config.pk, hrrPsk, []byte(echHpkeHrrKeyId), info) + if err != nil { + return nil, nil, err + } + } else { + enc, encryptedContext, err = hpke.SetupBaseS(hpkeSuite, rand, config.pk, info) + if err != nil { + return nil, nil, err + } + } + return &echContext{encryptedContext, nil, true, hpkeSuite}, enc, nil +} + +// isSupported returns true if the caller supports the KEM and at least one ECH +// ciphersuite indicated by this configuration. +func (config *ECHConfig) isSupported() bool { + _, err := config.selectCipherSuite() + if err != nil || !echIsKemSupported(config.kemId) { + return false + } + return true +} + +// isPeerCipherSuiteSupported returns true if this configuration indicates +// support for the given ciphersuite. +func (config *ECHConfig) isPeerCipherSuiteSupported(suite echCipherSuite) bool { + for _, configSuite := range config.suites { + if suite == configSuite { + return true + } + } + return false +} + +// selectCipherSuite returns the first ciphersuite indicated by this +// configuration that is supported by the caller. +func (config *ECHConfig) selectCipherSuite() (echCipherSuite, error) { + for i := range config.suites { + if echIsCipherSuiteSupported(config.suites[i]) { + return config.suites[i], nil + } + } + return echCipherSuite{}, fmt.Errorf("could not negotiate a ciphersuite") +} diff --git a/src/crypto/tls/ech_provider.go b/src/crypto/tls/ech_provider.go new file mode 100644 index 00000000000..0cb7b4b42bc --- /dev/null +++ b/src/crypto/tls/ech_provider.go @@ -0,0 +1,78 @@ +package tls + +// ECHProvider specifies the interface of an ECH service provider that decrypts +// the ECH payload on behalf of the client-facing server. It also defines the +// set of acceptable ECH configurations. +type ECHProvider interface { + // GetContext attempts to construct the HPKE context used by the + // client-facing server for decryption. (See draft-irtf-cfrg-hpke-05, + // Section 5.2.) + // + // handle encodes the parameters of the client's "encrypted_client_hello" + // extension that are needed to construct the context. In + // draft-ietf-tls-esni-08, these are the ECH cipher suite, the identity of + // the ECH configuration, and the encapsulated key. + // + // hrrPsk is the PSK used to construct the context. This is set by the + // caller in case the server previously sent a HelloRetryRequest in this + // connection. Otherwise, len(hrrPsk) == 0. + // + // version is the version of ECH indicated by the client. + // + // res.Status == ECHProviderStatusSuccess indicates the call was successful + // and the caller may proceed. res.Context is set. + // + // res.Status == ECHProviderStatusReject indicates the caller must reject + // ECH. res.RetryConfigs may be set. + // + // res.Status == ECHProviderStatusAbort indicates the caller must abort the + // handshake. res.Alert and res.Error are set. + GetContext(handle, hrrPsk []byte, version uint16) (res ECHProviderResult) +} + +// ECHProviderStatus is the status of the ECH provider's response. +type ECHProviderStatus uint + +const ( + ECHProviderSuccess ECHProviderStatus = 0 + ECHProviderReject = 1 + ECHProviderAbort = 2 +) + +// ECHProviderResult represents the result of invoking the ECH provider. +type ECHProviderResult struct { + Status ECHProviderStatus + + // Alert is the TLS alert sent by the caller when aborting the handshake. + Alert uint8 + + // Error is the error propagated by the caller when aborting the handshake. + Error error + + // RetryConfigs is the sequence of ECH configs to offer to the client for + // retrying the handshake. This may be set in case of success or rejection. + RetryConfigs []byte + + // Context is the server's HPKE context. This is set if ECH is not rejected + // by the provider and no error was reported. The data has the following + // format (in TLS syntax): + // + // enum { sender(0), receiver(1) } HpkeRole; + // + // struct { + // HpkeRole role; + // HpkeKemId kem_id; // as defined in draft-irtf-cfrg-hpke-05 + // HpkeKdfId kdf_id; // as defined in draft-irtf-cfrg-hpke-05 + // HpkeAeadId aead_id; // as defined in draft-irtf-cfrg-hpke-05 + // opaque exporter_secret<0..255>; + // opaque key<0..255>; + // opaque nonce<0..255>; + // uint64 seq; + // } HpkeContext; + // + // NOTE(cjpatton): This format is specified neither in the ECH spec nor the + // HPKE spec. It is the format chosen for the HPKE implementation that we're + // using. See + // https://github.com/cisco/go-hpke/blob/9e7d3e90b7c3a5b08f3099c49520c587568c77d6/hpke.go#L198 + Context []byte +} diff --git a/src/crypto/tls/ech_test.go b/src/crypto/tls/ech_test.go new file mode 100644 index 00000000000..e48a592f5d1 --- /dev/null +++ b/src/crypto/tls/ech_test.go @@ -0,0 +1,1018 @@ +// Copyright 2020 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + +package tls + +import ( + "crypto/rand" + "crypto/tls/internal/hpke" + "crypto/x509" + "encoding/pem" + "errors" + "fmt" + "testing" + "time" + + "golang.org/x/crypto/cryptobyte" +) + +const ( + echTestBackendServerName = "example.com" + echTestClientFacingServerName = "cloudflare-esni.com" + + maxConfigIdLen = 255 +) + +// The client's root CA certificate. +const echTestCertRootPEM = ` +-----BEGIN CERTIFICATE----- +MIICQTCCAeigAwIBAgIUYGSqOFcpxSleCzSCaveKL8lV4N0wCgYIKoZIzj0EAwIw +fzELMAkGA1UEBhMCVVMxEzARBgNVBAgTCkNhbGlmb3JuaWExFjAUBgNVBAcTDVNh +biBGcmFuY2lzY28xHzAdBgNVBAoTFkludGVybmV0IFdpZGdldHMsIEluYy4xDDAK +BgNVBAsTA1dXVzEUMBIGA1UEAxMLZXhhbXBsZS5jb20wHhcNMjAwOTIyMTcwNjAw +WhcNMjUwOTIxMTcwNjAwWjB/MQswCQYDVQQGEwJVUzETMBEGA1UECBMKQ2FsaWZv +cm5pYTEWMBQGA1UEBxMNU2FuIEZyYW5jaXNjbzEfMB0GA1UEChMWSW50ZXJuZXQg +V2lkZ2V0cywgSW5jLjEMMAoGA1UECxMDV1dXMRQwEgYDVQQDEwtleGFtcGxlLmNv +bTBZMBMGByqGSM49AgEGCCqGSM49AwEHA0IABNcFaBtPRgekRBKTBvuKdTy3raqs +4IizMLFup434MfQ5oH71mYpKndfBzxcZDTMYeocKlt1pVYwvZ3ZdpRsW6yWjQjBA +MA4GA1UdDwEB/wQEAwIBBjAPBgNVHRMBAf8EBTADAQH/MB0GA1UdDgQWBBQ2GJIW ++4m3/qpkage5tEvMg3NwPTAKBggqhkjOPQQDAgNHADBEAiB6J8UqRvdhLOiaDYqH +KG+TuveHOqlfQqQgXo4/hNKMiAIgV79TTPHu+Ymn/tcCy9LVWZcpgnCEjrZi0ou5 +et8BX9s= +-----END CERTIFICATE-----` + +// Certificate of the client-facing server. The server name is +// "cloudflare-esni.com". +const echTestCertClientFacingPEM = ` +-----BEGIN CERTIFICATE----- +MIICIjCCAcigAwIBAgIUCXySp2MadlDlcvFrSm4BtLUY70owCgYIKoZIzj0EAwIw +fzELMAkGA1UEBhMCVVMxEzARBgNVBAgTCkNhbGlmb3JuaWExFjAUBgNVBAcTDVNh +biBGcmFuY2lzY28xHzAdBgNVBAoTFkludGVybmV0IFdpZGdldHMsIEluYy4xDDAK +BgNVBAsTA1dXVzEUMBIGA1UEAxMLZXhhbXBsZS5jb20wHhcNMjAwOTIyMTcxMDAw +WhcNMjEwOTIyMTcxMDAwWjAAMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE7nP/ +Txinb0JPE/xdjv5d3zrWJqXo7qwP67oVaMKJp5ausJ+0IZfiMWz8pa6T7pyyLrC5 +xvQNkfVkpP9/FxmNFaOBoDCBnTAOBgNVHQ8BAf8EBAMCBaAwHQYDVR0lBBYwFAYI +KwYBBQUHAwEGCCsGAQUFBwMCMAwGA1UdEwEB/wQCMAAwHQYDVR0OBBYEFNN7Afv+ +CgPAxRr4QdZn8JFvQ9nTMB8GA1UdIwQYMBaAFDYYkhb7ibf+qmRqB7m0S8yDc3A9 +MB4GA1UdEQQXMBWCE2Nsb3VkZmxhcmUtZXNuaS5jb20wCgYIKoZIzj0EAwIDSAAw +RQIgZ4VlBtjTRludP/JwfaNQyGKZFWFqRsECvGPbk+ZHLZwCIQCTjuMAFrnjf/j5 +3RNw67l7+QQPrmurSO86l1IlDWNtcA== +-----END CERTIFICATE-----` + +// Signing key of the client-facing server. +const echTestKeyClientFacingPEM = ` +-----BEGIN PRIVATE KEY----- +MHcCAQEEIPpCcU8mu+h4xHAm18NJvn73Ko9fjH9QxDCpRt7kCIq9oAoGCCqGSM49 +AwEHoUQDQgAE7nP/Txinb0JPE/xdjv5d3zrWJqXo7qwP67oVaMKJp5ausJ+0IZfi +MWz8pa6T7pyyLrC5xvQNkfVkpP9/FxmNFQ== +-----END PRIVATE KEY-----` + +// Certificate of the backend server. The server name is "example.com". +const echTestCertBackendPEM = ` +-----BEGIN CERTIFICATE----- +MIICGTCCAcCgAwIBAgIUQJSSdOZs9wag1Toanlt9lol0uegwCgYIKoZIzj0EAwIw +fzELMAkGA1UEBhMCVVMxEzARBgNVBAgTCkNhbGlmb3JuaWExFjAUBgNVBAcTDVNh +biBGcmFuY2lzY28xHzAdBgNVBAoTFkludGVybmV0IFdpZGdldHMsIEluYy4xDDAK +BgNVBAsTA1dXVzEUMBIGA1UEAxMLZXhhbXBsZS5jb20wHhcNMjAwOTIyMTcwOTAw +WhcNMjEwOTIyMTcwOTAwWjAAMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAElq+q +E01Z87KIPHWdEAk0cWssHkRnS4aQCDfstoxDIWQ4rMwHvrWGFy/vytRwyjhHuX9n +tc5ArCpwbAmY+oW/46OBmDCBlTAOBgNVHQ8BAf8EBAMCBaAwHQYDVR0lBBYwFAYI +KwYBBQUHAwEGCCsGAQUFBwMCMAwGA1UdEwEB/wQCMAAwHQYDVR0OBBYEFPz9Ct9U +EIjBEcUpv/yxHYccUDo1MB8GA1UdIwQYMBaAFDYYkhb7ibf+qmRqB7m0S8yDc3A9 +MBYGA1UdEQQPMA2CC2V4YW1wbGUuY29tMAoGCCqGSM49BAMCA0cAMEQCICDBEzzE +DF529x9Z4BkOKVxNDicfWSjxrcMohevjeCWDAiBaxXS5+6I2fcred0JGMsJgo7ts +S8GYhuKE99mQA0/mug== +-----END CERTIFICATE-----` + +// Signing key of the backend server. +const echTestKeyBackendPEM = ` +-----BEGIN PRIVATE KEY----- +MHcCAQEEIIJsLXmfzw6FDlqyRRLhY6lVB6ws5ewjUQjnS4DXsQ60oAoGCCqGSM49 +AwEHoUQDQgAElq+qE01Z87KIPHWdEAk0cWssHkRnS4aQCDfstoxDIWQ4rMwHvrWG +Fy/vytRwyjhHuX9ntc5ArCpwbAmY+oW/4w== +-----END PRIVATE KEY-----` + +// The sequence of ECH configurations used by the client. +const echTestConfigs = `-----BEGIN ECH CONFIGS----- +AMf+CABPABNjbG91ZGZsYXJlLWVzbmkuY29tACD683Skz2S4bDVHT+GAv5KAUyyl +3r5cLeq4qvMBI9ibPAAgABAAAQABAAEAAwACAAEAAgADAAAAAP4IAHAAE2Nsb3Vk +ZmxhcmUtZXNuaS5jb20AQQSZfpA6fzxJ6D8QM/skU24lfUPjdeVWBNqPFLLRjT8m +jDldpNzqsIwgmnNrD2uY3nhSdLVnLJho07qFju+2VmjYABAAEAABAAEAAQADAAIA +AQACAAMAAAAA +-----END ECH CONFIGS-----` + +// An invalid sequence of ECH configurations. +const echTestInvalidConfigs = `-----BEGIN ECH CONFIGS----- +AFP+CABPABNjbG91ZGZsYXJlLWVzbmkuY29tACBcOATtuDyCM0u6yNprD7YeSJH9 +gQYYei3M1ZzJe2JbTAAgABAAAQABAAEAAwACAAEAAgADAAAAAA== +-----END ECH CONFIGS-----` + +// The ECH keys corresponding to echTestConfigs, used by the client-facing +// server. +const echTestKeys = `-----BEGIN ECH KEYS----- +ACATTNkMz0kX/6CSrh/KlO82oKyy/JIwBwqb61sKbzKrigBT/ggATwATY2xvdWRm +bGFyZS1lc25pLmNvbQAg+vN0pM9kuGw1R0/hgL+SgFMspd6+XC3quKrzASPYmzwA +IAAQAAEAAQABAAMAAgABAAIAAwAAAAAAIBhXMi4tyQeKOjmFeDYWmebWgVUj+IQd +Ir/qaiw2V5bIAHT+CABwABNjbG91ZGZsYXJlLWVzbmkuY29tAEEEmX6QOn88Seg/ +EDP7JFNuJX1D43XlVgTajxSy0Y0/Jow5XaTc6rCMIJpzaw9rmN54UnS1ZyyYaNO6 +hY7vtlZo2AAQABAAAQABAAEAAwACAAEAAgADAAAAAA== +-----END ECH KEYS-----` + +// echKeySet implements the ECHProvider interface for a sequence of ECH keys. +type echKeySet struct { + // The serialized ECHConfigs, in order of the server's preference. + configs []byte + + // Maps a configuration identifier to its secret key. + sk map[[maxConfigIdLen + 1]byte]echKey +} + +// echNewKeySet constructs an echKeySet. +func echNewKeySet(keys []echKey) (*echKeySet, error) { + keySet := new(echKeySet) + keySet.sk = make(map[[maxConfigIdLen + 1]byte]echKey) + configs := make([]byte, 0) + for _, key := range keys { + // Compute the set of KDF algorithms supported by this configuration. + kdfIds := make(map[uint16]bool) + for _, suite := range key.config.suites { + kdfIds[suite.kdfId] = true + } + + // Compute the configuration identifier for each KDF. + for kdfId, _ := range kdfIds { + kdf, err := echCreateHpkeKdf(kdfId) + if err != nil { + return nil, err + } + configId := kdf.Expand(kdf.Extract(nil, key.config.raw), []byte(echHpkeInfoConfigId), kdf.OutputSize()) + var b cryptobyte.Builder + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(configId) + }) + var id [maxConfigIdLen + 1]byte // Initialized to zero + copy(id[:], b.BytesOrPanic()) + keySet.sk[id] = key + } + + configs = append(configs, key.config.raw...) + } + + var b cryptobyte.Builder + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(configs) + }) + keySet.configs = b.BytesOrPanic() + + return keySet, nil +} + +// GetContext is required by the ECHProvider interface. +func (keySet *echKeySet) GetContext(rawHandle, hrrPsk []byte, version uint16) (res ECHProviderResult) { + // Ensure we know how to proceed. Currently only draft-ietf-tls-esni-08 is + // supported. + if version != extensionECH { + res.Status = ECHProviderAbort + res.Alert = uint8(alertInternalError) + res.Error = errors.New("version not supported") + return // Abort + } + + // Parse the handle. + s := cryptobyte.String(rawHandle) + handle := new(echContextHandle) + if !echReadContextHandle(&s, handle) || !s.Empty() { + res.Status = ECHProviderAbort + res.Alert = uint8(alertIllegalParameter) + res.Error = errors.New("error parsing context handle") + return // Abort + } + handle.raw = rawHandle + + // Look up the secret key for the configuration indicated by the client. + var id [maxConfigIdLen + 1]byte // Initialized to zero + var b cryptobyte.Builder + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(handle.configId) + }) + copy(id[:], b.BytesOrPanic()) + key, ok := keySet.sk[id] + if !ok { + res.Status = ECHProviderReject + res.RetryConfigs = keySet.configs + return // Reject + } + + // Ensure that support for the selected ciphersuite is indicated by the + // configuration. + suite := handle.suite + if !key.config.isPeerCipherSuiteSupported(suite) { + res.Status = ECHProviderAbort + res.Alert = uint8(alertIllegalParameter) + res.Error = errors.New("peer cipher suite is not supported") + return // Abort + } + + // Ensure the version indicated by the client matches the version supported + // by the configuration. + if version != key.config.version { + res.Status = ECHProviderAbort + res.Alert = uint8(alertIllegalParameter) + res.Error = errors.New("peer version not supported") + return // Abort + } + + // Compute the decryption context. + context, err := key.setupServerContext(handle.enc, hrrPsk, suite) + if err != nil { + res.Status = ECHProviderAbort + res.Alert = uint8(alertInternalError) + res.Error = err + return // Abort + } + + // Serialize the decryption context. + res.Context, err = context.marshalServer() + if err != nil { + res.Status = ECHProviderAbort + res.Alert = uint8(alertInternalError) + res.Error = err + return // Abort + } + + res.Status = ECHProviderSuccess + // Send retry configs just in case the caller needs to reject. + res.RetryConfigs = keySet.configs + return // May accept +} + +// echKey represents an ECH key and its corresponding configuration. The +// encoding of an ECH Key has following structure (in TLS syntax): +// +// struct { +// opaque private_key<0..2^16-1> +// uint16 length<0..2^16-1> // length of config +// ECHConfig config; // as defined in draft-ietf-tls-esni-08 +// } ECHKey; +// +// NOTE(cjpatton): This format is not specified in the ECH draft. +type echKey struct { + config ECHConfig + sk hpke.KEMPrivateKey +} + +// echUnmarshalKeys parses a sequence of ECH keys. +func echUnmarshalKeys(raw []byte) ([]echKey, error) { + s := cryptobyte.String(raw) + keys := make([]echKey, 0) + var key echKey + for !s.Empty() { + var rawSecretKey, rawConfig cryptobyte.String + if !s.ReadUint16LengthPrefixed(&rawSecretKey) || + !s.ReadUint16LengthPrefixed(&rawConfig) { + return nil, fmt.Errorf("error parsing key") + } + config, err := echUnmarshalConfig(rawConfig) + if err != nil { + if err == echUnrecognizedVersionError { + // Skip config with unrecognized version. + continue + } + return nil, err + } + key.config = *config + key.sk, err = echUnmarshalHpkeSecretKey(rawSecretKey, key.config.kemId) + if err != nil { + return nil, err + } + keys = append(keys, key) + } + return keys, nil +} + +// setupServerContext computes the HPKE context used by the server in the ECH +// extension. If hrrPsk is set, then "SetupPSKR()" is used to generate the +// context. Otherwise, "SetupBaseR()" is used. (See irtf-cfrg-hpke-05 for +// details.) +func (key *echKey) setupServerContext(enc, hrrPsk []byte, suite echCipherSuite) (*echContext, error) { + hpkeSuite, err := hpkeAssembleCipherSuite(key.config.kemId, suite.kdfId, suite.aeadId) + if err != nil { + return nil, err + } + + info := append(append([]byte(echHpkeInfoSetup), 0), key.config.raw...) + var decryptechContext *hpke.DecryptContext + if hrrPsk != nil { + decryptechContext, err = hpke.SetupPSKR(hpkeSuite, key.sk, enc, hrrPsk, []byte(echHpkeHrrKeyId), info) + if err != nil { + return nil, err + } + } else { + decryptechContext, err = hpke.SetupBaseR(hpkeSuite, key.sk, enc, info) + if err != nil { + return nil, err + } + } + return &echContext{nil, decryptechContext, false, hpkeSuite}, nil +} + +// echTestProviderAlwaysAbort mocks an ECHProvider that, in response to any +// request, sets an alert and returns an error. The client-facing server must +// abort the handshake. +type echTestProviderAlwaysAbort struct{} + +// Required by the ECHProvider interface. +func (p echTestProviderAlwaysAbort) GetContext(_, _ []byte, _ uint16) (res ECHProviderResult) { + res.Status = ECHProviderAbort + res.Alert = uint8(alertInternalError) + res.Error = errors.New("provider failed") + return // Abort +} + +// echTestProviderAlwaysReject simulates fallover of the ECH provider. In +// response to any query, it rejects without sending retry configurations., in response to any +type echTestProviderAlwaysReject struct{} + +// Required by the ECHProvider interface. +func (p echTestProviderAlwaysReject) GetContext(_, _ []byte, _ uint16) (res ECHProviderResult) { + res.Status = ECHProviderReject + return // Reject without retry configs +} + +// echTestProviderRejectAfterHRR accepts the client ECH configuration on the +// first call, but fails on further invocations. This simulates a scenario where +// the server performs key rotation while a HRR was triggered. Even if the +// client uses the same ECHConfig after a HRR, the server will be unable to +// process it. +type echTestProviderRejectAfterHRR struct { + keySet *echKeySet // Used on the first call + invocations int +} + +// Required by the ECHProvider interface. +func (p *echTestProviderRejectAfterHRR) GetContext(handle, hrrPsk []byte, version uint16) (res ECHProviderResult) { + p.invocations++ + if p.invocations > 1 { + res.Status = ECHProviderReject + res.RetryConfigs = []byte("invalid config") + return // Reject + } + return p.keySet.GetContext(handle, hrrPsk, version) +} + +func echTestLoadConfigs(pemData string) []ECHConfig { + block, rest := pem.Decode([]byte(pemData)) + if block == nil || block.Type != "ECH CONFIGS" || len(rest) > 0 { + panic("pem decoding fails") + } + + configs, err := UnmarshalECHConfigs(block.Bytes) + if err != nil { + panic(err) + } + + return configs +} + +func echTestLoadKeySet() *echKeySet { + block, rest := pem.Decode([]byte(echTestKeys)) + if block == nil || block.Type != "ECH KEYS" || len(rest) > 0 { + panic("pem decoding fails") + } + + keys, err := echUnmarshalKeys(block.Bytes) + if err != nil { + panic(err) + } + + keySet, err := echNewKeySet(keys) + if err != nil { + panic(err) + } + + return keySet +} + +type echTestCase struct { + name string + + // expected outcomes + expectClientAbort bool // client aborts + expectServerAbort bool // server aborts + expectOffered bool // server indicates that ECH was offered + expectClientBypassed bool // server bypasses ECH + expectServerBypassed bool // server indicates that ECH was bypassed by client + expectAccepted bool // server indicates ECH acceptance + expectRejected bool // server indicates ECH rejection + expectGrease bool // server indicates dummy ECH was detected + expectBackendServerName bool // client verified backend server name + + // client config + clientEnabled bool // client enables ECH + clientInvalidConfigs bool // client offers ECH with invalid config + clientNoConfigs bool // client sends dummy ECH if ECH enabled + clientInvalidVersion bool // client does not offer 1.3 + + // server config + serverEnabled bool // server enables ECH + serverProviderAlwaysAbort bool // ECH provider always aborts + serverProviderAlwaysReject bool // ECH provider always rejects + serverProviderRejectAfterHRR bool // ECH provider rejects after HRR + serverInvalidVersion bool // server does not offer 1.3 + + // code path triggers + triggerHRR bool // server triggers HRR + triggerECHBypassAfterHRR bool // client bypasses after HRR + triggerECHBypassBeforeHRR bool // client bypasses before HRR + triggerIllegalHandleAfterHRR bool // client sends illegal ECH extension after HRR + triggerOuterExtMany bool // client sends many (not just one) outer extensions + triggerOuterExtIncorrectOrder bool // client sends malformed outer extensions + triggerOuterExtNone bool // client does not incorporate outer extensions + triggerPayloadDecryptError bool // client sends inauthentic ciphertext +} + +// TODO(cjpatton): Add test cases for PSK interactions: +// - ECH bypassed, backend server consumes early data (baseline test config) +// - ECH accepted, backend server consumes early data +// - ECH rejected, client-facing server ignores early data intended for backend +var echTestCases = []echTestCase{ + { + // The client offers ECH and it is accepted by the server + name: "success / accepted", + expectOffered: true, + expectAccepted: true, + expectBackendServerName: true, + clientEnabled: true, + serverEnabled: true, + }, + { + // The client bypasses ECH, i.e., it neither offers ECH nor sends a + // dummy ECH extension. + name: "success / bypassed: not offered", + expectClientBypassed: true, + expectBackendServerName: true, + serverEnabled: true, + }, + { + // The client sends dummy (i.e., "GREASEd") ECH. The server sends retry + // configs in case the client meant to offer ECH. The client does not + // signal rejection, so the server concludes ECH was not offered. + name: "success / bypassed: grease", + expectGrease: true, + expectBackendServerName: true, + clientEnabled: true, + clientNoConfigs: true, + serverEnabled: true, + }, + { + // The client sends dummy ECH because it has enabled ECH but not TLS + // 1.3. The server sends retry configs in case the client meant to offer + // ECH. The client does not signal rejection, so the server concludes + // ECH was not offered. + name: "success / bypassed: client invalid version", + expectGrease: true, + expectBackendServerName: true, + clientInvalidVersion: true, + clientEnabled: true, + serverEnabled: true, + }, + { + // The client offers ECH with an invalid (e.g., stale) config. The + // server sends retry configs. The client signals rejection by sending + // an "ech_required" alert. + name: "success / rejected: invalid config", + expectOffered: true, + expectRejected: true, + expectClientAbort: true, + expectServerAbort: true, + clientInvalidConfigs: true, + clientEnabled: true, + serverEnabled: true, + }, + { + // The client offers ECH, but the payload is mangled in transit. The + // server sends retry configurations. The client signals rejection by + // sending an "ech_required" alert. + name: "success / rejected: inauthentic ciphertext", + expectOffered: true, + expectRejected: true, + expectClientAbort: true, + expectServerAbort: true, + clientEnabled: true, + serverEnabled: true, + triggerPayloadDecryptError: true, + }, + { + // The client offered ECH, but client-facing server terminates the + // connection without sending retry configurations. The client aborts + // with "ech_required" and regards ECH as securely disabled by the + // server. + name: "success / rejected: not supported by client-facing server", + expectServerBypassed: true, + expectClientAbort: true, + expectServerAbort: true, + clientEnabled: true, + }, + { + // The client offers ECH. The server ECH rejects without sending retry + // configurations, simulating fallover of the ECH provider. The client + // signals rejection. + name: "success / rejected: provider falls over", + expectServerAbort: true, + expectOffered: true, + expectServerBypassed: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + serverProviderAlwaysReject: true, + }, + { + // The client offers ECH. The server does not support TLS 1.3, so it + // ignores the extension and continues as usual. The client does not + // signal rejection because TLS 1.2 has been negotiated. + name: "success / bypassed: client-facing invalid version", + expectServerBypassed: true, + clientEnabled: true, + serverEnabled: true, + serverInvalidVersion: true, + }, + { + // The client offers ECH. The ECH provider encounters an unrecoverable + // error, causing the server to abort. + name: "server abort: provider hard fails", + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + serverProviderAlwaysAbort: true, + }, + { + // The client offers ECH and it is accepted by the server. The HRR code + // path is triggered. + name: "hrr / accepted", + expectOffered: true, + expectAccepted: true, + expectBackendServerName: true, + triggerHRR: true, + clientEnabled: true, + serverEnabled: true, + }, + { + // The client sends a dummy ECH extension. The server sends retry + // configs in case the client meant to offer ECH. The client does not + // signal rejection, so the server concludes ECH was not offered. The + // HRR code path is triggered. + name: "hrr / bypassed: grease", + expectGrease: true, + expectBackendServerName: true, + clientEnabled: true, + clientNoConfigs: true, + serverEnabled: true, + triggerHRR: true, + }, + { + // The client offers ECH with an invalid (e.g., stale) config. The + // server sends retry configs. The client signals rejection. The HRR + // code path is triggered. + name: "hrr / rejected: invalid config", + expectOffered: true, + expectRejected: true, + expectClientAbort: true, + expectServerAbort: true, + clientEnabled: true, + clientInvalidConfigs: true, + serverEnabled: true, + triggerHRR: true, + }, + { + // The HRR code path is triggered. The client offered ECH in the second + // CH but not the first. + name: "hrr / server abort: offer after bypass", + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + triggerHRR: true, + triggerECHBypassBeforeHRR: true, + }, + { + // The HRR code path is triggered. The client offered ECH in the first + // CH but not the second. + name: "hrr / server abort: bypass after offer", + expectOffered: true, + expectAccepted: true, + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + triggerHRR: true, + triggerECHBypassAfterHRR: true, + }, + { + // The HRR code path is triggered. The client offers ECH. The server + // accepts for the first CH but must reject it for the second, causing + // the server to abort. This simulates what happens if the ECH provider + // falls over after the HRR is sent but before the second CH is + // consumed. + name: "hrr / server abort: reject after accept", + expectOffered: true, + expectAccepted: true, + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + serverProviderRejectAfterHRR: true, + triggerHRR: true, + }, + { + // The HRR code path is triggered. In the second CH, the value of the + // context handle changes illegally. + name: "hrr / server abort: illegal handle", + expectOffered: true, + expectAccepted: true, + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + triggerHRR: true, + triggerIllegalHandleAfterHRR: true, + }, + { + // The client offers ECH and it is accepted by the server. The client + // incorporates many outer extensions instead of just one (the default + // behavior). + name: "outer extensions, many / accepted", + expectBackendServerName: true, + expectOffered: true, + expectAccepted: true, + clientEnabled: true, + serverEnabled: true, + triggerOuterExtMany: true, + }, + { + // The client offers ECH and it is accepted by the server. The client + // incorporates no outer extensions. + name: "outer extensions, none / accepted", + expectBackendServerName: true, + expectOffered: true, + expectAccepted: true, + clientEnabled: true, + serverEnabled: true, + triggerOuterExtNone: true, + }, + { + // The client offers ECH but does not implement the "outer_extension" + // mechanism correctly, + name: "outer extensions, incorrect order / server abort: incorrect transcript", + expectOffered: true, + expectAccepted: true, + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + triggerOuterExtIncorrectOrder: true, + }, +} + +// Returns the base configurations for the client and client-facing server, +func echSetupConnTest() (clientConfig, serverConfig *Config) { + echTestNow := time.Date(2020, time.September, 23, 0, 0, 0, 0, time.UTC) + echTestConfig := &Config{ + Time: func() time.Time { + return echTestNow + }, + Rand: rand.Reader, + CipherSuites: allCipherSuites(), + InsecureSkipVerify: false, + } + + clientFacingCert, err := X509KeyPair([]byte(echTestCertClientFacingPEM), []byte(echTestKeyClientFacingPEM)) + if err != nil { + panic(err) + } + + backendCert, err := X509KeyPair([]byte(echTestCertBackendPEM), []byte(echTestKeyBackendPEM)) + if err != nil { + panic(err) + } + + block, rest := pem.Decode([]byte(echTestCertRootPEM)) + if block == nil || block.Type != "CERTIFICATE" || len(rest) > 0 { + panic("pem decoding fails") + } + + rootCert, err := x509.ParseCertificate(block.Bytes) + if err != nil { + panic(err) + } + + clientConfig = echTestConfig.Clone() + clientConfig.ServerName = echTestBackendServerName + clientConfig.RootCAs = x509.NewCertPool() + clientConfig.RootCAs.AddCert(rootCert) + + serverConfig = echTestConfig.Clone() + serverConfig.GetCertificate = func(info *ClientHelloInfo) (*Certificate, error) { + if info.ServerName == echTestBackendServerName { + return &backendCert, nil + } else if info.ServerName == echTestClientFacingServerName { + return &clientFacingCert, nil + } + return nil, nil + } + return +} + +// echTestResult represents the ECH status and error status of a connection. +type echTestResult struct { + // Operational parameters + clientDone, serverDone bool + // Results + clientStatus EXP_EventECHClientStatus + serverStatus EXP_EventECHServerStatus + connState ConnectionState + err error +} + +func (r *echTestResult) eventHandler(event EXP_Event) { + switch e := event.(type) { + case EXP_EventECHClientStatus: + if r.clientDone { + panic("expected at most one client ECH status event") + } + r.clientStatus = e + r.clientDone = true + case EXP_EventECHServerStatus: + if r.serverDone { + panic("expected at most one server ECH status event") + } + r.serverStatus = e + r.clientDone = true + } +} + +// echTestConn runs the handshake and returns the ECH and error status of the +// client and server. It also returns the server name verified by the client. +func echTestConn(t *testing.T, clientConfig, serverConfig *Config) (clientRes, serverRes echTestResult) { + testMessage := []byte("hey bud") + buf := make([]byte, len(testMessage)) + ln := newLocalListener(t) + defer ln.Close() + + serverCh := make(chan echTestResult, 1) + go func() { + var res echTestResult + serverConfig.EXP_EventHandler = res.eventHandler + serverConn, err := ln.Accept() + if err != nil { + res.err = err + serverCh <- res + return + } + + server := Server(serverConn, serverConfig) + defer func() { + server.Close() + serverCh <- res + }() + + if err := server.Handshake(); err != nil { + res.err = err + return + } + + if _, err = server.Read(buf); err != nil { + res.err = err + } + + res.connState = server.ConnectionState() + }() + + clientConfig.EXP_EventHandler = clientRes.eventHandler + client, err := Dial("tcp", ln.Addr().String(), clientConfig) + if err != nil { + serverRes = <-serverCh + clientRes.err = err + return + } + defer client.Close() + + _, err = client.Write(testMessage) + if err != nil { + serverRes = <-serverCh + clientRes.err = err + return + } + + clientRes.connState = client.ConnectionState() + serverRes = <-serverCh + return +} + +func TestECHHandshake(t *testing.T) { + defer func() { + // Reset testing triggers after the test completes. + testingTriggerHRR = false + testingECHTriggerBypassAfterHRR = false + testingECHTriggerBypassBeforeHRR = false + testingECHIllegalHandleAfterHRR = false + testingECHOuterExtMany = false + testingECHOuterExtNone = false + testingECHOuterExtIncorrectOrder = false + testingECHTriggerPayloadDecryptError = false + }() + + invalidConfigs := echTestLoadConfigs(echTestInvalidConfigs) + configs := echTestLoadConfigs(echTestConfigs) + keySet := echTestLoadKeySet() + + clientConfig, serverConfig := echSetupConnTest() + for i, test := range echTestCases { + t.Run(fmt.Sprintf("%02d", i), func(t *testing.T) { + // Configure the client. + n := 0 + if test.clientNoConfigs { + clientConfig.ClientECHConfigs = nil + n++ + } + if test.clientInvalidConfigs { + clientConfig.ClientECHConfigs = invalidConfigs + n++ + } + if n == 0 { + clientConfig.ClientECHConfigs = configs + } else if n > 1 { + panic("invalid test configuration") + } + + if test.clientEnabled { + clientConfig.ECHEnabled = true + } else { + clientConfig.ECHEnabled = false + } + + if test.clientInvalidVersion { + clientConfig.MinVersion = VersionTLS10 + clientConfig.MaxVersion = VersionTLS12 + } else { + clientConfig.MinVersion = VersionTLS10 + clientConfig.MaxVersion = VersionTLS13 + } + + // Configure the client-facing server. + if test.serverEnabled { + serverConfig.ECHEnabled = true + } else { + serverConfig.ECHEnabled = false + } + + n = 0 + if test.serverProviderAlwaysAbort { + serverConfig.ServerECHProvider = &echTestProviderAlwaysAbort{} + n++ + } + if test.serverProviderAlwaysReject { + serverConfig.ServerECHProvider = &echTestProviderAlwaysReject{} + n++ + } + if test.serverProviderRejectAfterHRR { + serverConfig.ServerECHProvider = &echTestProviderRejectAfterHRR{ + keySet: keySet, + } + n++ + } + if n == 0 { + serverConfig.ServerECHProvider = keySet + } else if n > 1 { + panic("invalid test configuration") + } + + if test.serverInvalidVersion { + serverConfig.MinVersion = VersionTLS10 + serverConfig.MaxVersion = VersionTLS12 + } else { + serverConfig.MinVersion = VersionTLS10 + serverConfig.MaxVersion = VersionTLS13 + } + + testingTriggerHRR = false + if test.triggerHRR { + testingTriggerHRR = true + } + + testingECHTriggerBypassAfterHRR = false + if test.triggerECHBypassAfterHRR { + testingECHTriggerBypassAfterHRR = true + } + + testingECHTriggerBypassBeforeHRR = false + if test.triggerECHBypassBeforeHRR { + testingECHTriggerBypassBeforeHRR = true + } + + testingECHTriggerPayloadDecryptError = false + if test.triggerPayloadDecryptError { + testingECHTriggerPayloadDecryptError = true + } + + n = 0 + testingECHOuterExtMany = false + if test.triggerOuterExtMany { + testingECHOuterExtMany = true + n++ + } + testingECHOuterExtNone = false + if test.triggerOuterExtNone { + testingECHOuterExtNone = true + n++ + } + testingECHOuterExtIncorrectOrder = false + if test.triggerOuterExtIncorrectOrder { + testingECHOuterExtIncorrectOrder = true + n++ + } + testingECHIllegalHandleAfterHRR = false + if test.triggerIllegalHandleAfterHRR { + testingECHIllegalHandleAfterHRR = true + n++ + } + if n > 1 { + panic("invalid test configuration") + } + + t.Logf("%s", test.name) + + // Run the handshake. + client, server := echTestConn(t, clientConfig, serverConfig) + if !test.expectClientAbort && client.err != nil { + t.Error("client aborts; want success") + } + + if !test.expectServerAbort && server.err != nil { + t.Error("server aborts; want success") + } + + if test.expectClientAbort && client.err == nil { + t.Error("client succeeds; want abort") + } else { + t.Logf("client err: %s", client.err) + } + + if test.expectServerAbort && server.err == nil { + t.Errorf("server succeeds; want abort") + } else { + t.Logf("server err: %s", server.err) + } + + if got := server.clientStatus.Offered(); got != test.expectOffered { + t.Errorf("got offered=%v; want %v", got, test.expectOffered) + } + + if got := server.clientStatus.Greased(); got != test.expectGrease { + t.Errorf("got grease=%v; want %v", got, test.expectGrease) + } + + if got := server.clientStatus.Bypassed(); got != test.expectClientBypassed && server.err == nil { + t.Errorf("got clientBypassed=%v; want %v", got, test.expectClientBypassed) + } + + if got := server.serverStatus.Bypassed(); got != test.expectServerBypassed && server.err == nil { + t.Errorf("got serverBypassed=%v; want %v", got, test.expectServerBypassed) + } + + if got := server.serverStatus.Accepted(); got != test.expectAccepted { + t.Errorf("got accepted=%v; want %v", got, test.expectAccepted) + } + + if got := server.serverStatus.Rejected(); got != test.expectRejected { + t.Errorf("got rejected=%v; want %v", got, test.expectRejected) + } + + if client.err != nil { + return + } + + if name := client.connState.ServerName; test.expectBackendServerName != (name == echTestBackendServerName) { + t.Errorf("got backend server name=%v; want %v", name == echTestBackendServerName, test.expectBackendServerName) + } + + if client.clientStatus.Greased() != server.clientStatus.Greased() || + client.clientStatus.Bypassed() != server.clientStatus.Bypassed() || + client.serverStatus.Bypassed() != server.serverStatus.Bypassed() || + client.serverStatus.Accepted() != server.serverStatus.Accepted() || + client.serverStatus.Rejected() != server.serverStatus.Rejected() { + t.Error("client and server disagree on ech usage") + t.Errorf("client=%+v", client) + t.Errorf("server=%+v", server) + } + + if accepted := client.connState.ECHAccepted; accepted != client.serverStatus.Accepted() { + t.Errorf("client got ECHAccepted=%v; want %v", accepted, client.serverStatus.Accepted()) + } + + if accepted := server.connState.ECHAccepted; accepted != server.serverStatus.Accepted() { + t.Errorf("server got ECHAccepted=%v; want %v", accepted, server.serverStatus.Accepted()) + } + }) + } +} diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 773bd4fed10..6d0cae12973 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -34,7 +34,7 @@ type clientHandshakeState struct { session *ClientSessionState } -func (c *Conn) makeClientHello() (*clientHelloMsg, ecdheParameters, error) { +func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, ecdheParameters, error) { config := c.config if len(config.ServerName) == 0 && !config.InsecureSkipVerify { return nil, nil, errors.New("tls: either ServerName or InsecureSkipVerify must be specified in the tls.Config") @@ -52,7 +52,7 @@ func (c *Conn) makeClientHello() (*clientHelloMsg, ecdheParameters, error) { return nil, nil, errors.New("tls: NextProtos values too large") } - supportedVersions := config.supportedVersions() + supportedVersions := config.supportedVersionsFromMin(minVersion) if len(supportedVersions) == 0 { return nil, nil, errors.New("tls: no supported versions satisfy MinVersion and MaxVersion") } @@ -145,13 +145,30 @@ func (c *Conn) clientHandshake() (err error) { // need to be reset. c.didResume = false - hello, ecdheParams, err := c.makeClientHello() + // Determine the minimum required version for this handshake. + minVersion := c.config.MinVersion + if c.config.echCanOffer() { + // If the ECH extension will be offered in this handshake, then the + // ClientHelloInner must not offer TLS 1.2 or below. + minVersion = VersionTLS13 + } + + helloBase, ecdheParams, err := c.makeClientHello(minVersion) if err != nil { return err } - c.serverName = hello.serverName - cacheKey, session, earlySecret, binderKey := c.loadSession(hello) + hello, helloInner, err := c.echOfferOrGrease(helloBase) + if err != nil { + return err + } + + helloResumed := hello + if c.ech.offered { + helloResumed = helloInner + } + + cacheKey, session, earlySecret, binderKey := c.loadSession(helloResumed) if cacheKey != "" && session != nil { defer func() { // If we got a handshake failure when resuming a session, throw away @@ -202,6 +219,8 @@ func (c *Conn) clientHandshake() (err error) { c: c, serverHello: serverHello, hello: hello, + helloInner: helloInner, + helloBase: helloBase, ecdheParams: ecdheParams, session: session, earlySecret: earlySecret, @@ -212,6 +231,7 @@ func (c *Conn) clientHandshake() (err error) { return hs.handshake() } + c.serverName = hello.serverName hs := &clientHandshakeState{ c: c, serverHello: serverHello, @@ -234,7 +254,7 @@ func (c *Conn) clientHandshake() (err error) { func (c *Conn) loadSession(hello *clientHelloMsg) (cacheKey string, session *ClientSessionState, earlySecret, binderKey []byte) { - if c.config.SessionTicketsDisabled || c.config.ClientSessionCache == nil { + if c.config.SessionTicketsDisabled || c.config.ClientSessionCache == nil || c.config.ECHEnabled { return "", nil, nil, nil } @@ -836,10 +856,14 @@ func (c *Conn) verifyServerCertificate(certificates [][]byte) error { } if !c.config.InsecureSkipVerify { + dnsName := c.config.ServerName + if c.ech.offered && !c.ech.accepted { + dnsName = c.serverName + } opts := x509.VerifyOptions{ Roots: c.config.RootCAs, CurrentTime: c.config.time(), - DNSName: c.config.ServerName, + DNSName: dnsName, Intermediates: x509.NewCertPool(), } for _, cert := range certs[1:] { diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index daa5d97fd35..77804d8a034 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -10,6 +10,7 @@ import ( "crypto/hmac" "crypto/rsa" "errors" + "fmt" "hash" "sync/atomic" "time" @@ -19,19 +20,22 @@ type clientHandshakeStateTLS13 struct { c *Conn serverHello *serverHelloMsg hello *clientHelloMsg + helloInner *clientHelloMsg + helloBase *clientHelloMsg ecdheParams ecdheParameters session *ClientSessionState earlySecret []byte binderKey []byte - certReq *certificateRequestMsgTLS13 - usingPSK bool - sentDummyCCS bool - suite *cipherSuiteTLS13 - transcript hash.Hash - masterSecret []byte - trafficSecret []byte // client_application_traffic_secret_0 + certReq *certificateRequestMsgTLS13 + usingPSK bool + sentDummyCCS bool + suite *cipherSuiteTLS13 + transcript hash.Hash + transcriptInner hash.Hash + masterSecret []byte + trafficSecret []byte // client_application_traffic_secret_0 } // handshake requires hs.c, hs.hello, hs.serverHello, hs.ecdheParams, and, @@ -58,6 +62,14 @@ func (hs *clientHandshakeStateTLS13) handshake() error { hs.transcript = hs.suite.hash.New() hs.transcript.Write(hs.hello.marshal()) + // When offering ECH, it is not known whether ECH was accepted until the + // ServerHello is processed. In particular, we do not know at this point if + // the server used the ClientHelloOuter or the ClientHelloInner. + if c.ech.offered { + hs.transcriptInner = hs.suite.hash.New() + hs.transcriptInner.Write(hs.helloInner.marshal()) + } + if bytes.Equal(hs.serverHello.random, helloRetryRequestRandom) { if err := hs.sendDummyChangeCipherSpec(); err != nil { return err @@ -67,6 +79,25 @@ func (hs *clientHandshakeStateTLS13) handshake() error { } } + // Determine if ECH was accepted. + if hs.c.ech.offered { + secret := hs.suite.extract(hs.helloInner.random, nil) + context := hs.serverHello.random[:24] + acceptConfirmation := hs.suite.expandLabel(secret, echTls13LabelAcceptConfirm, context, 8) + if bytes.Equal(hs.serverHello.random[24:], acceptConfirmation) { + c.ech.accepted = true + hs.hello = hs.helloInner + hs.transcript = hs.transcriptInner + } + } + + // Resolve the server name now that ECH acceptance has been determined. + // + // NOTE(cjpatton): Currently the client sends the same ALPN extension in the + // ClientHelloInner and ClientHelloOuter. If that changes, then we'll need + // to resolve ALPN here as well. + c.serverName = hs.hello.serverName + hs.transcript.Write(hs.serverHello.marshal()) c.buffering = true @@ -94,6 +125,9 @@ func (hs *clientHandshakeStateTLS13) handshake() error { if err := hs.sendClientFinished(); err != nil { return err } + if err := hs.abortIfRequired(); err != nil { + return err + } if _, err := c.flush(); err != nil { return err } @@ -174,6 +208,7 @@ func (hs *clientHandshakeStateTLS13) sendDummyChangeCipherSpec() error { // resends hs.hello, and reads the new ServerHello into hs.serverHello. func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { c := hs.c + c.hrrTriggered = true // The first ClientHello gets double-hashed into the transcript upon a // HelloRetryRequest. (The idea is that the server might offload transcript @@ -184,6 +219,14 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { hs.transcript.Write(chHash) hs.transcript.Write(hs.serverHello.marshal()) + if c.ech.offered { + chHash = hs.transcriptInner.Sum(nil) + hs.transcriptInner.Reset() + hs.transcriptInner.Write([]byte{typeMessageHash, 0, 0, uint8(len(chHash))}) + hs.transcriptInner.Write(chHash) + hs.transcriptInner.Write(hs.serverHello.marshal()) + } + // The only HelloRetryRequest extensions we support are key_share and // cookie, and clients must abort the handshake if the HRR would not result // in any change in the ClientHello. @@ -193,7 +236,7 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { } if hs.serverHello.cookie != nil { - hs.hello.cookie = hs.serverHello.cookie + hs.helloBase.cookie = hs.serverHello.cookie } if hs.serverHello.serverShare.group != 0 { @@ -206,7 +249,7 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { // share for it this time. if curveID := hs.serverHello.selectedGroup; curveID != 0 { curveOK := false - for _, id := range hs.hello.supportedCurves { + for _, id := range hs.helloBase.supportedCurves { if id == curveID { curveOK = true break @@ -230,11 +273,11 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { return err } hs.ecdheParams = params - hs.hello.keyShares = []keyShare{{group: curveID, data: params.PublicKey()}} + hs.helloBase.keyShares = []keyShare{{group: curveID, data: params.PublicKey()}} } - hs.hello.raw = nil - if len(hs.hello.pskIdentities) > 0 { + hs.helloBase.raw = nil + if len(hs.helloBase.pskIdentities) > 0 { pskSuite := cipherSuiteTLS13ByID(hs.session.cipherSuite) if pskSuite == nil { return c.sendAlert(alertInternalError) @@ -242,23 +285,34 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { if pskSuite.hash == hs.suite.hash { // Update binders and obfuscated_ticket_age. ticketAge := uint32(c.config.time().Sub(hs.session.receivedAt) / time.Millisecond) - hs.hello.pskIdentities[0].obfuscatedTicketAge = ticketAge + hs.session.ageAdd + hs.helloBase.pskIdentities[0].obfuscatedTicketAge = ticketAge + hs.session.ageAdd transcript := hs.suite.hash.New() transcript.Write([]byte{typeMessageHash, 0, 0, uint8(len(chHash))}) transcript.Write(chHash) transcript.Write(hs.serverHello.marshal()) - transcript.Write(hs.hello.marshalWithoutBinders()) + transcript.Write(hs.helloBase.marshalWithoutBinders()) pskBinders := [][]byte{hs.suite.finishedHash(hs.binderKey, transcript)} - hs.hello.updateBinders(pskBinders) + hs.helloBase.updateBinders(pskBinders) } else { // Server selected a cipher suite incompatible with the PSK. - hs.hello.pskIdentities = nil - hs.hello.pskBinders = nil + hs.helloBase.pskIdentities = nil + hs.helloBase.pskBinders = nil } } - hs.transcript.Write(hs.hello.marshal()) + var err error + hs.hello, hs.helloInner, err = c.echOfferOrGrease(hs.helloBase) + if err != nil { + return err + } + + if testingECHIllegalHandleAfterHRR { + // Triggers a server abort, since this changes the cipher suite offered + // by the client. + hs.hello.encryptedClientHello[0] ^= 0xff + } + if _, err := c.writeRecord(recordTypeHandshake, hs.hello.marshal()); err != nil { return err } @@ -279,6 +333,10 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { return err } + hs.transcript.Write(hs.hello.marshal()) + if c.ech.offered { + hs.transcriptInner.Write(hs.helloInner.marshal()) + } return nil } @@ -406,6 +464,17 @@ func (hs *clientHandshakeStateTLS13) readServerParameters() error { c.clientProtocol = encryptedExtensions.alpnProtocol } + // If the server rejects ECH, then it may send retry configurations. If + // present, we must check them for syntactic correctness and abort if they + // are not correct. + if c.ech.offered && len(encryptedExtensions.encryptedClientHello) > 0 { + c.ech.retryConfigs = encryptedExtensions.encryptedClientHello + if _, err = UnmarshalECHConfigs(c.ech.retryConfigs); err != nil { + c.sendAlert(alertIllegalParameter) + return fmt.Errorf("tls: ech: failed to parse retry configs: %s", err) + } + } + return nil } @@ -626,7 +695,7 @@ func (hs *clientHandshakeStateTLS13) sendClientFinished() error { c.out.setTrafficSecret(hs.suite, hs.trafficSecret) - if !c.config.SessionTicketsDisabled && c.config.ClientSessionCache != nil { + if !c.config.SessionTicketsDisabled && c.config.ClientSessionCache != nil && !c.config.ECHEnabled { c.resumptionSecret = hs.suite.deriveSecret(hs.masterSecret, resumptionLabel, hs.transcript) } @@ -640,7 +709,7 @@ func (c *Conn) handleNewSessionTicket(msg *newSessionTicketMsgTLS13) error { return errors.New("tls: received new session ticket from a client") } - if c.config.SessionTicketsDisabled || c.config.ClientSessionCache == nil { + if c.config.SessionTicketsDisabled || c.config.ClientSessionCache == nil || c.config.ECHEnabled { return nil } @@ -683,3 +752,13 @@ func (c *Conn) handleNewSessionTicket(msg *newSessionTicketMsgTLS13) error { return nil } + +func (hs *clientHandshakeStateTLS13) abortIfRequired() error { + c := hs.c + if c.ech.offered && !c.ech.accepted { + // If ECH was rejected, then abort the handshake. + c.sendAlert(alertECHRequired) + return errors.New("tls: ech: rejected") + } + return nil +} diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index b5f81e44366..41075eaf044 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -92,6 +92,8 @@ type clientHelloMsg struct { pskModes []uint8 pskIdentities []pskIdentity pskBinders [][]byte + encryptedClientHelloOffered bool + encryptedClientHello []byte } func (m *clientHelloMsg) marshal() []byte { @@ -121,6 +123,15 @@ func (m *clientHelloMsg) marshal() []byte { bWithoutExtensions := *b b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + if m.encryptedClientHelloOffered { + // draft-ietf-tls-esni-08, "encrypted_client_hello" + b.AddUint16(extensionECH) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + // If this is ClientHelloInner, then the value is empty. + // Otherwise, the value is the ClientECH structure. + b.AddBytes(m.encryptedClientHello) + }) + } if len(m.serverName) > 0 { // RFC 6066, Section 3 b.AddUint16(extensionServerName) @@ -394,6 +405,12 @@ func (m *clientHelloMsg) unmarshal(data []byte) bool { } switch extension { + case extensionECH: + // draft-ietf-tls-esni-08, "encrypted_client_hello" + m.encryptedClientHelloOffered = true + if !extData.ReadBytes(&m.encryptedClientHello, len(extData)) { + return false + } case extensionServerName: // RFC 6066, Section 3 var nameList cryptobyte.String @@ -840,8 +857,9 @@ func (m *serverHelloMsg) unmarshal(data []byte) bool { } type encryptedExtensionsMsg struct { - raw []byte - alpnProtocol string + raw []byte + alpnProtocol string + encryptedClientHello []byte } func (m *encryptedExtensionsMsg) marshal() []byte { @@ -863,6 +881,15 @@ func (m *encryptedExtensionsMsg) marshal() []byte { }) }) } + if len(m.encryptedClientHello) > 0 { + // draft-ietf-tls-esni-08, "encrypted_client_hello" + b.AddUint16(extensionECH) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + // If the client-facing server rejects ECH, then it may + // sends retry configurations here. + b.AddBytes(m.encryptedClientHello) + }) + } }) }) @@ -900,6 +927,11 @@ func (m *encryptedExtensionsMsg) unmarshal(data []byte) bool { return false } m.alpnProtocol = string(proto) + case extensionECH: + // draft-ietf-tls-esni-08 + if !extData.ReadBytes(&m.encryptedClientHello, len(extData)) { + return false + } default: // Ignore unknown extensions. continue diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 0df9970278b..e929ad306a1 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -137,6 +137,15 @@ func (c *Conn) readClientHello() (*clientHelloMsg, error) { return nil, unexpectedMessageError(clientHello, msg) } + // NOTE(cjpatton): ECH usage is resolved before calling GetConfigForClient() + // or GetCertifciate(). Hence, it is not currently possible to reject ECH if + // we don't recognize the inner SNI. This may or may not be desirable in the + // future. + clientHello, err = c.echAcceptOrBypass(clientHello) + if err != nil { + return nil, fmt.Errorf("tls: %s", err) // Alert sent. + } + var configForClient *Config originalConfig := c.config if c.config.GetConfigForClient != nil { @@ -366,7 +375,7 @@ func (hs *serverHandshakeState) cipherSuiteOk(c *cipherSuite) bool { func (hs *serverHandshakeState) checkForResumption() bool { c := hs.c - if c.config.SessionTicketsDisabled { + if c.config.SessionTicketsDisabled || c.config.ECHEnabled { return false } @@ -463,7 +472,7 @@ func (hs *serverHandshakeState) doFullHandshake() error { hs.hello.ocspStapling = true } - hs.hello.ticketSupported = hs.clientHello.ticketSupported && !c.config.SessionTicketsDisabled + hs.hello.ticketSupported = hs.clientHello.ticketSupported && !c.config.SessionTicketsDisabled && !c.config.ECHEnabled hs.hello.cipherSuite = hs.suite.id hs.finishedHash = newFinishedHash(hs.c.vers, hs.suite) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index c2c288aed43..37250b328b3 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -10,6 +10,7 @@ import ( "crypto/hmac" "crypto/rsa" "errors" + "fmt" "hash" "io" "sync/atomic" @@ -182,12 +183,39 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { hs.hello.cipherSuite = hs.suite.id hs.transcript = hs.suite.hash.New() + // Resolve the server's preference for the ECDHE group. + supportedCurves := c.config.curvePreferences() + if testingTriggerHRR { + // A HelloRetryRequest (HRR) is sent if the client does not offer a key + // share for a curve supported by the server. To trigger this condition + // intentionally, we compute the set of ECDHE groups supported by both + // the client and server but for which the client did not offer a key + // share. + supportedCurves = make([]CurveID, 0) + for _, serverGroup := range c.config.curvePreferences() { + for _, clientGroup := range hs.clientHello.supportedCurves { + if serverGroup == clientGroup { + for _, ks := range hs.clientHello.keyShares { + if serverGroup != ks.group { + supportedCurves = append(supportedCurves, serverGroup) + } + } + } + } + } + if len(supportedCurves) == 0 { + // This occurs if the client offered a key share for each mutually + // supported group. + panic("failed to trigger HelloRetryRequest") + } + } + // Pick the ECDHE group in server preference order, but give priority to // groups with a key share, to avoid a HelloRetryRequest round-trip. var selectedGroup CurveID var clientKeyShare *keyShare GroupSelection: - for _, preferredGroup := range c.config.curvePreferences() { + for _, preferredGroup := range supportedCurves { for _, ks := range hs.clientHello.keyShares { if ks.group == preferredGroup { selectedGroup = ks.group @@ -239,7 +267,7 @@ GroupSelection: func (hs *serverHandshakeStateTLS13) checkForResumption() error { c := hs.c - if c.config.SessionTicketsDisabled { + if c.config.SessionTicketsDisabled || c.config.ECHEnabled { return nil } @@ -409,6 +437,7 @@ func (hs *serverHandshakeStateTLS13) sendDummyChangeCipherSpec() error { func (hs *serverHandshakeStateTLS13) doHelloRetryRequest(selectedGroup CurveID) error { c := hs.c + c.hrrTriggered = true // The first ClientHello gets double-hashed into the transcript upon a // HelloRetryRequest. See RFC 8446, Section 4.4.1. @@ -448,6 +477,11 @@ func (hs *serverHandshakeStateTLS13) doHelloRetryRequest(selectedGroup CurveID) return unexpectedMessageError(clientHello, msg) } + clientHello, err = c.echAcceptOrBypass(clientHello) + if err != nil { + return fmt.Errorf("tls: %s", err) // Alert sent + } + if len(clientHello.keyShares) != 1 || clientHello.keyShares[0].group != selectedGroup { c.sendAlert(alertIllegalParameter) return errors.New("tls: client sent invalid key share in second ClientHello") @@ -528,6 +562,15 @@ func illegalClientHelloChange(ch, ch1 *clientHelloMsg) bool { func (hs *serverHandshakeStateTLS13) sendServerParameters() error { c := hs.c + // Confirm ECH acceptance. + if hs.clientHello.encryptedClientHelloOffered && + len(hs.clientHello.encryptedClientHello) == 0 { + secret := hs.suite.extract(hs.clientHello.random, nil) + context := hs.hello.random[:24] + acceptConfirmation := hs.suite.expandLabel(secret, echTls13LabelAcceptConfirm, context, 8) + copy(hs.hello.random[24:], acceptConfirmation) + } + hs.transcript.Write(hs.clientHello.marshal()) hs.transcript.Write(hs.hello.marshal()) if _, err := c.writeRecord(recordTypeHandshake, hs.hello.marshal()); err != nil { @@ -572,6 +615,10 @@ func (hs *serverHandshakeStateTLS13) sendServerParameters() error { } } + if len(c.ech.retryConfigs) > 0 { + encryptedExtensions.encryptedClientHello = c.ech.retryConfigs + } + hs.transcript.Write(encryptedExtensions.marshal()) if _, err := c.writeRecord(recordTypeHandshake, encryptedExtensions.marshal()); err != nil { return err @@ -703,7 +750,7 @@ func (hs *serverHandshakeStateTLS13) sendServerFinished() error { } func (hs *serverHandshakeStateTLS13) shouldSendSessionTickets() bool { - if hs.c.config.SessionTicketsDisabled { + if hs.c.config.SessionTicketsDisabled || hs.c.config.ECHEnabled { return false } diff --git a/src/crypto/tls/hpke.go b/src/crypto/tls/hpke.go new file mode 100644 index 00000000000..ef6c726b490 --- /dev/null +++ b/src/crypto/tls/hpke.go @@ -0,0 +1,84 @@ +// Copyright 2020 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + +package tls + +import ( + "crypto/tls/internal/hpke" + "errors" + "fmt" +) + +const ( + // Supported KEMs + hpkeKemDhKemX25519HkdfSha256 = uint16(hpke.DHKEM_X25519) + hpkeKemDhKemP256kdfSha256 = uint16(hpke.DHKEM_P256) + + // Supported KDFs + hpkeKdfHkdfSha256 = uint16(hpke.KDF_HKDF_SHA256) + hpkeKdfHkdfSha384 = uint16(hpke.KDF_HKDF_SHA384) + + // Supported AEADs + hpkeAeadAes128Gcm = uint16(hpke.AEAD_AESGCM128) + hpkeAeadChaCha20Poly1305 = uint16(hpke.AEAD_CHACHA20POLY1305) + + // Stand-in values for algorithms that are unknown prior to a particular + // operation. Note that these are mandatory-to-implement algorithms for ECH + // since draft-ietf-tls-esni-08. + // + // There is a slight mismatch between the API exported by HPKE and the API + // required to implement the ECH logic in the TLS stack. Namely, an "HPKE + // ciphersuite" is a (KEM, KDF, AEAD) triple, and as such, the API of the + // HPKE implementation we use, github.com/cisco/go-hpke, presumes all three + // algorithms are known prior to any HPKE operation. In contrast, an "ECH + // ciphersuite" is a (KDF, AEAD) pair, meaning the KDF and AEAD may not be + // known when doing a KEM operation, e.g., generating a KEM key pair. This + // library provides a thin wrapper around github.com/cisco/go-hpke that + // resolves this mismatch. + dummyKemId = hpkeKemDhKemX25519HkdfSha256 + dummyKdfId = hpkeKdfHkdfSha256 + dummyAeadId = hpkeAeadAes128Gcm + + // The ciphertext expansion incurred by the AEAD identified by dummyAeadId. + dummyAeadOverheadLen = 16 + + // The output size of "Expand()" for the KDF identified by dummyKdfId. + dummyKdfOutputLen = 32 +) + +func init() { + // Ensure that this package supports the mandatory-to-implement cipher suite + // for the ECH extension. + _, err := hpkeAssembleCipherSuite(hpkeKemDhKemX25519HkdfSha256, hpkeKdfHkdfSha256, hpkeAeadAes128Gcm) + if err != nil { + panic(fmt.Errorf("internal error: ech: failed to assemble MTI cipher suite: %s", err)) + } +} + +// hpkeAssembleHpkeCipherSuite maps the codepoints for an HPKE ciphersuite to +// the ciphersuite's internal representation, verifying that the host supports +// the cipher suite. +// +// NOTE: draft-irtf-cfrg-hpke-05 reserves the `0x0000` code point for dummy KEM, +// KDF, and AEAD identifiers. `AssembleCipherSuite` interprets '0x0000' as an +// invalid algorithm. +func hpkeAssembleCipherSuite(kemId, kdfId, aeadId uint16) (hpke.CipherSuite, error) { + if kemId != hpkeKemDhKemX25519HkdfSha256 && + kemId != hpkeKemDhKemP256kdfSha256 { + return hpke.CipherSuite{}, errors.New("KEM not supported") + } + + if kdfId != hpkeKdfHkdfSha256 && + kdfId != hpkeKdfHkdfSha384 { + return hpke.CipherSuite{}, errors.New("KDF not supported") + } + + if aeadId != hpkeAeadAes128Gcm && + aeadId != hpkeAeadChaCha20Poly1305 { + return hpke.CipherSuite{}, errors.New("AEAD not supported") + } + + // Verify that the ciphersuite is supported by github.com/cisco/go-hpke and + // return the ciphersuite's internal representation. + return hpke.AssembleCipherSuite(hpke.KEMID(kemId), hpke.KDFID(kdfId), hpke.AEADID(aeadId)) +} diff --git a/src/crypto/tls/internal/hpke/LICENSE b/src/crypto/tls/internal/hpke/LICENSE new file mode 100644 index 00000000000..a6995a82faa --- /dev/null +++ b/src/crypto/tls/internal/hpke/LICENSE @@ -0,0 +1,25 @@ +BSD 2-Clause License + +Copyright (c) 2020, Cisco Systems +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + +1. Redistributions of source code must retain the above copyright notice, this + list of conditions and the following disclaimer. + +2. Redistributions in binary form must reproduce the above copyright notice, + this list of conditions and the following disclaimer in the documentation + and/or other materials provided with the distribution. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE +FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/crypto/tls/internal/hpke/README.md b/src/crypto/tls/internal/hpke/README.md new file mode 100644 index 00000000000..3fc2bbc8582 --- /dev/null +++ b/src/crypto/tls/internal/hpke/README.md @@ -0,0 +1,18 @@ +This packages is a paired down version of [Cisco's HPKE +implementation](https://github.com/cisco/go-hpke). Its base is: + +``` +$ git clone https://github.com/cisco/go-hpke +$ cd go-hpke +$ git checkout a07eeccbf5d591fce2c172bf5b35c8d048b320bd +``` +Changes: + +* Dependency on "log" has been removed. +* Dependency on "git.schwanenlied.me/yawning/x448.git" has been removed. +* Imports from "github.com/cloudflare/circl/..." have been changed to "circl/...". +* Import from "github.com/cisco/go-tls-syntax" has been changed to + "crypto/tls/internal/syntax". +* Commented out lines 287, 538, and 557 in crypto.go. + +TODO(cjpatton): Remove this package once HPKE is implemented in CIRCL. diff --git a/src/crypto/tls/internal/hpke/crypto.go b/src/crypto/tls/internal/hpke/crypto.go new file mode 100644 index 00000000000..a6a016a7234 --- /dev/null +++ b/src/crypto/tls/internal/hpke/crypto.go @@ -0,0 +1,875 @@ +package hpke + +import ( + "bytes" + "circl/dh/sidh" + "crypto" + "crypto/aes" + "crypto/cipher" + "crypto/elliptic" + "crypto/hmac" + "crypto/rand" + "encoding/binary" + "fmt" + "io" + "math/big" + mrand "math/rand" + + _ "crypto/sha256" + _ "crypto/sha512" + + "golang.org/x/crypto/chacha20poly1305" + "golang.org/x/crypto/curve25519" +) + +//////// +// DHKEM + +type dhScheme interface { + ID() KEMID + DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) + Serialize(pk KEMPublicKey) []byte + Deserialize(enc []byte) (KEMPublicKey, error) + DH(priv KEMPrivateKey, pub KEMPublicKey) ([]byte, error) + PublicKeySize() int + PrivateKeySize() int + + SerializePrivate(sk KEMPrivateKey) []byte + DeserializePrivate(enc []byte) (KEMPrivateKey, error) + + internalKDF() KDFScheme +} + +type dhkemScheme struct { + group dhScheme + skE KEMPrivateKey +} + +func (s dhkemScheme) ID() KEMID { + return s.group.ID() +} + +func (s dhkemScheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { + return s.group.DeriveKeyPair(ikm) +} + +func (s dhkemScheme) Serialize(pk KEMPublicKey) []byte { + return s.group.Serialize(pk) +} + +func (s dhkemScheme) SerializePrivate(sk KEMPrivateKey) []byte { + return s.group.SerializePrivate(sk) +} + +func (s dhkemScheme) Deserialize(enc []byte) (KEMPublicKey, error) { + return s.group.Deserialize(enc) +} + +func (s dhkemScheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { + return s.group.DeserializePrivate(enc) +} + +func (s *dhkemScheme) setEphemeralKeyPair(skE KEMPrivateKey) { + s.skE = skE +} + +func (s dhkemScheme) getEphemeralKeyPair(rand io.Reader) (KEMPrivateKey, KEMPublicKey, error) { + if s.skE != nil { + return s.skE, s.skE.PublicKey(), nil + } + + ikm := make([]byte, s.PrivateKeySize()) + rand.Read(ikm) + + return s.group.DeriveKeyPair(ikm) +} + +func (s dhkemScheme) extractAndExpand(dh []byte, kemContext []byte, Nsecret int) []byte { + suiteID := kemSuiteFromID(s.ID()) + eae_prk := s.group.internalKDF().LabeledExtract(nil, suiteID, "eae_prk", dh) + return s.group.internalKDF().LabeledExpand(eae_prk, suiteID, "shared_secret", kemContext, Nsecret) +} + +func (s dhkemScheme) Encap(rand io.Reader, pkR KEMPublicKey) ([]byte, []byte, error) { + skE, pkE, err := s.getEphemeralKeyPair(rand) + if err != nil { + return nil, nil, err + } + + dh, err := s.group.DH(skE, pkR) + if err != nil { + return nil, nil, err + } + + enc := s.group.Serialize(pkE) + pkRm := s.group.Serialize(pkR) + + kemContext := make([]byte, len(enc)+len(pkRm)) + copy(kemContext, enc) + copy(kemContext[len(enc):], pkRm) + + Nsecret := s.group.internalKDF().OutputSize() + sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) + + return sharedSecret, enc, nil +} + +func (s dhkemScheme) Decap(enc []byte, skR KEMPrivateKey) ([]byte, error) { + pkE, err := s.group.Deserialize(enc) + if err != nil { + return nil, err + } + + dh, err := s.group.DH(skR, pkE) + if err != nil { + return nil, err + } + + pkRm := s.group.Serialize(skR.PublicKey()) + + kemContext := make([]byte, len(enc)+len(pkRm)) + copy(kemContext, enc) + copy(kemContext[len(enc):], pkRm) + + Nsecret := s.group.internalKDF().OutputSize() + sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) + + return sharedSecret, nil +} + +func (s dhkemScheme) AuthEncap(rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey) ([]byte, []byte, error) { + skE, pkE, err := s.getEphemeralKeyPair(rand) + if err != nil { + return nil, nil, err + } + + dhER, err := s.group.DH(skE, pkR) + if err != nil { + return nil, nil, err + } + + dhIR, err := s.group.DH(skS, pkR) + if err != nil { + return nil, nil, err + } + + dh := append(dhER, dhIR...) + + enc := s.group.Serialize(pkE) + pkRm := s.group.Serialize(pkR) + pkSm := s.group.Serialize(skS.PublicKey()) + + Nenc := len(enc) + Npk := len(pkRm) + Nsk := len(pkSm) + kemContext := make([]byte, Nenc+Npk+Nsk) + copy(kemContext[:Nenc], enc) + copy(kemContext[Nenc:Nenc+Npk], pkRm) + copy(kemContext[Nenc+Npk:], pkSm) + + Nsecret := s.group.internalKDF().OutputSize() + sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) + + return sharedSecret, enc, nil +} + +func (s dhkemScheme) AuthDecap(enc []byte, skR KEMPrivateKey, pkS KEMPublicKey) ([]byte, error) { + pkE, err := s.group.Deserialize(enc) + if err != nil { + return nil, err + } + + dhER, err := s.group.DH(skR, pkE) + if err != nil { + return nil, err + } + + dhIR, err := s.group.DH(skR, pkS) + if err != nil { + return nil, err + } + + dh := append(dhER, dhIR...) + + pkRm := s.group.Serialize(skR.PublicKey()) + pkSm := s.group.Serialize(pkS) + + Nenc := len(enc) + Npk := len(pkRm) + Nsk := len(pkSm) + kemContext := make([]byte, Nenc+Npk+Nsk) + copy(kemContext[:Nenc], enc) + copy(kemContext[Nenc:Nenc+Npk], pkRm) + copy(kemContext[Nenc+Npk:], pkSm) + + Nsecret := s.group.internalKDF().OutputSize() + sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) + + return sharedSecret, nil +} + +func (s dhkemScheme) PublicKeySize() int { + return s.group.PublicKeySize() +} + +func (s dhkemScheme) PrivateKeySize() int { + return s.group.PrivateKeySize() +} + +//////////////////////// +// ECDH with NIST curves + +type ecdhPrivateKey struct { + curve elliptic.Curve + d []byte + x, y *big.Int +} + +func (priv ecdhPrivateKey) PublicKey() KEMPublicKey { + return &ecdhPublicKey{priv.curve, priv.x, priv.y} +} + +type ecdhPublicKey struct { + curve elliptic.Curve + x, y *big.Int +} + +type ecdhScheme struct { + curve elliptic.Curve + KDF KDFScheme + skE KEMPrivateKey +} + +func (s ecdhScheme) internalKDF() KDFScheme { + return s.KDF +} + +func (s ecdhScheme) ID() KEMID { + switch s.curve.Params().Name { + case "P-256": + return DHKEM_P256 + case "P-521": + return DHKEM_P521 + } + panic(fmt.Sprintf("Unsupported curve: %s", s.curve.Params().Name)) +} + +func (s ecdhScheme) privateKeyBitmask() uint8 { + switch s.curve.Params().Name { + case "P-256": + return 0xFF + case "P-521": + return 0x01 + } + panic(fmt.Sprintf("Unsupported curve: %s", s.curve.Params().Name)) +} + +func (s ecdhScheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { + suiteID := kemSuiteFromID(s.ID()) + dkp_prk := s.KDF.LabeledExtract(nil, suiteID, "dkp_prk", ikm) + counter := 0 + for { + if counter > 255 { + return nil, nil, fmt.Errorf("Error deriving key pair") + } + + bytes := s.KDF.LabeledExpand(dkp_prk, suiteID, "candidate", []byte{uint8(counter)}, s.PrivateKeySize()) + bytes[0] = bytes[0] & s.privateKeyBitmask() + + sk, err := s.DeserializePrivate(bytes) + if err == nil { + return sk, sk.PublicKey(), nil + } + + counter = counter + 1 + } + + //return nil, nil, fmt.Errorf("Error deriving key pair") +} + +func (s ecdhScheme) Serialize(pk KEMPublicKey) []byte { + if pk == nil { + return nil + } + raw := pk.(*ecdhPublicKey) + return elliptic.Marshal(raw.curve, raw.x, raw.y) +} + +func (s ecdhScheme) SerializePrivate(sk KEMPrivateKey) []byte { + if sk == nil { + return nil + } + + raw := sk.(*ecdhPrivateKey) + copied := make([]byte, len(raw.d)) + copy(copied, raw.d) + return copied +} + +func (s ecdhScheme) Deserialize(enc []byte) (KEMPublicKey, error) { + x, y := elliptic.Unmarshal(s.curve, enc) + if x == nil { + return nil, fmt.Errorf("Error deserializing public key") + } + + return &ecdhPublicKey{s.curve, x, y}, nil +} + +func (s ecdhScheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { + if enc == nil { + return nil, fmt.Errorf("Invalid input") + } + + x, y := s.curve.Params().ScalarBaseMult(enc) + return &ecdhPrivateKey{s.curve, enc, x, y}, nil +} + +func (s ecdhScheme) DH(priv KEMPrivateKey, pub KEMPublicKey) ([]byte, error) { + ecdhPriv, ok := priv.(*ecdhPrivateKey) + if !ok { + return nil, fmt.Errorf("Private key not suitable for ECDH") + } + + ecdhPub, ok := pub.(*ecdhPublicKey) + if !ok { + return nil, fmt.Errorf("Public key not suitable for ECDH") + } + + x, _ := s.curve.Params().ScalarMult(ecdhPub.x, ecdhPub.y, ecdhPriv.d) + xx := x.Bytes() + + size := (s.curve.Params().BitSize + 7) >> 3 + pad := make([]byte, size-len(xx)) + dh := append(pad, xx...) + + return dh, nil +} + +func (s ecdhScheme) PublicKeySize() int { + feSize := (s.curve.Params().BitSize + 7) >> 3 + return 1 + 2*feSize +} + +func (s ecdhScheme) PrivateKeySize() int { + return (s.curve.Params().BitSize + 7) >> 3 +} + +/////////////////// +// ECDH with X25519 + +type x25519PrivateKey struct { + val [32]byte +} + +func (priv x25519PrivateKey) PublicKey() KEMPublicKey { + pub := &x25519PublicKey{} + curve25519.ScalarBaseMult(&pub.val, &priv.val) + return pub +} + +type x25519PublicKey struct { + val [32]byte +} + +type x25519Scheme struct { + skE KEMPrivateKey +} + +func (s x25519Scheme) internalKDF() KDFScheme { + return hkdfScheme{hash: crypto.SHA256} +} + +func (s x25519Scheme) ID() KEMID { + return DHKEM_X25519 +} + +func (s x25519Scheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { + suiteID := kemSuiteFromID(s.ID()) + dkp_prk := s.internalKDF().LabeledExtract(nil, suiteID, "dkp_prk", ikm) + sk_bytes := s.internalKDF().LabeledExpand(dkp_prk, suiteID, "sk", nil, s.PrivateKeySize()) + sk, err := s.DeserializePrivate(sk_bytes) + if err != nil { + return nil, nil, err + } else { + return sk, sk.PublicKey(), nil + } +} + +func (s x25519Scheme) Serialize(pk KEMPublicKey) []byte { + if pk == nil { + return nil + } + raw := pk.(*x25519PublicKey) + return raw.val[:] +} + +func (s x25519Scheme) SerializePrivate(sk KEMPrivateKey) []byte { + if sk == nil { + return nil + } + raw := sk.(*x25519PrivateKey) + return raw.val[:] +} + +func (s x25519Scheme) Deserialize(enc []byte) (KEMPublicKey, error) { + if len(enc) != 32 { + return nil, fmt.Errorf("Error deserializing X25519 public key") + } + + pub := &x25519PublicKey{} + copy(pub.val[:], enc) + return pub, nil +} + +func (s x25519Scheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { + if enc == nil { + return nil, fmt.Errorf("Invalid input") + } + + if len(enc) != 32 { + return nil, fmt.Errorf("Error deserializing X25519 private key") + } + + key := &x25519PrivateKey{} + copy(key.val[:], enc[0:32]) + return key, nil +} + +func (s x25519Scheme) DH(priv KEMPrivateKey, pub KEMPublicKey) ([]byte, error) { + xPriv, ok := priv.(*x25519PrivateKey) + if !ok { + return nil, fmt.Errorf("Private key not suitable for X25519: %+v", priv) + } + + xPub, ok := pub.(*x25519PublicKey) + if !ok { + return nil, fmt.Errorf("Private key not suitable for X25519") + } + + sharedSecret, err := curve25519.X25519(xPriv.val[:], xPub.val[:]) + return sharedSecret, err +} + +func (s x25519Scheme) PublicKeySize() int { + return 32 +} + +func (s x25519Scheme) PrivateKeySize() int { + return 32 +} + +/////// +// SIKE + +type sikePublicKey struct { + field uint8 + pub *sidh.PublicKey +} + +type sikePrivateKey struct { + field uint8 + priv *sidh.PrivateKey + pub *sidh.PublicKey +} + +func (priv sikePrivateKey) PublicKey() KEMPublicKey { + return &sikePublicKey{priv.field, priv.pub} +} + +type sikeScheme struct { + field uint8 + KDF KDFScheme +} + +func (s sikeScheme) internalKDF() KDFScheme { + return s.KDF +} + +func (s sikeScheme) ID() KEMID { + switch s.field { + case sidh.Fp503: + return KEM_SIKE503 + case sidh.Fp751: + return KEM_SIKE751 + } + panic(fmt.Sprintf("Unsupported field: %d", s.field)) +} + +func (s sikeScheme) generateKeyPair(rand io.Reader) (KEMPrivateKey, KEMPublicKey, error) { + rawPriv := sidh.NewPrivateKey(s.field, sidh.KeyVariantSike) + err := rawPriv.Generate(rand) + if err != nil { + return nil, nil, err + } + + rawPub := sidh.NewPublicKey(s.field, sidh.KeyVariantSike) + rawPriv.GeneratePublicKey(rawPub) + + priv := &sikePrivateKey{s.field, rawPriv, rawPub} + return priv, priv.PublicKey(), nil +} + +func (s sikeScheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { + // Note: DeriveKeyPair is not specified for SIKE, so we just use IKM to + // seed a DRBG, and then re-use the other APIs for generating key pairs + // from randomness. + var seed int64 + ikmReader := bytes.NewReader(ikm) + if err := binary.Read(ikmReader, binary.BigEndian, &seed); err != nil { + return nil, nil, fmt.Errorf("Error deriving key pair") + } + + source := mrand.NewSource(seed) + return s.generateKeyPair(mrand.New(source)) +} + +func (s sikeScheme) Serialize(pk KEMPublicKey) []byte { + if pk == nil { + return nil + } + raw := pk.(*sikePublicKey) + out := make([]byte, raw.pub.Size()) + raw.pub.Export(out) + return out +} + +func (s sikeScheme) SerializePrivate(sk KEMPrivateKey) []byte { + panic("Not implemented") + //return nil +} + +func (s sikeScheme) Deserialize(enc []byte) (KEMPublicKey, error) { + rawPub := sidh.NewPublicKey(s.field, sidh.KeyVariantSike) + if len(enc) != rawPub.Size() { + return nil, fmt.Errorf("Invalid public key size: got %d, expected %d", len(enc), rawPub.Size()) + } + + err := rawPub.Import(enc) + if err != nil { + return nil, err + } + + return &sikePublicKey{s.field, rawPub}, nil +} + +func (s sikeScheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { + panic("Not implemented") + //return nil, nil +} + +func (s sikeScheme) newKEM(rand io.Reader) (*sidh.KEM, error) { + switch s.field { + case sidh.Fp503: + return sidh.NewSike503(rand), nil + case sidh.Fp751: + return sidh.NewSike751(rand), nil + } + return nil, fmt.Errorf("Invalid field") +} + +func (s sikeScheme) Encap(rand io.Reader, pkR KEMPublicKey) ([]byte, []byte, error) { + raw := pkR.(*sikePublicKey) + + kem, err := s.newKEM(rand) + if err != nil { + return nil, nil, err + } + + enc := make([]byte, kem.CiphertextSize()) + sharedSecret := make([]byte, s.KDF.OutputSize()) + err = kem.Encapsulate(enc, sharedSecret, raw.pub) + if err != nil { + return nil, nil, err + } + + return sharedSecret, enc, nil +} + +type panicReader struct{} + +func (p panicReader) Read(unused []byte) (int, error) { + panic("Should not read") +} + +func (s sikeScheme) Decap(enc []byte, skR KEMPrivateKey) ([]byte, error) { + raw := skR.(*sikePrivateKey) + + kem, err := s.newKEM(panicReader{}) + if err != nil { + return nil, err + } + + sharedSecret := make([]byte, s.KDF.OutputSize()) + err = kem.Decapsulate(sharedSecret, raw.priv, raw.pub, enc) + if err != nil { + return nil, err + } + + return sharedSecret, nil +} + +func (s sikeScheme) PublicKeySize() int { + rawPub := sidh.NewPublicKey(s.field, sidh.KeyVariantSike) + return rawPub.Size() +} + +func (s sikeScheme) PrivateKeySize() int { + rawPriv := sidh.NewPrivateKey(s.field, sidh.KeyVariantSike) + err := rawPriv.Generate(rand.Reader) + if err != nil { + panic("PrivateKeySize failed") + } + + return rawPriv.Size() +} + +func (s sikeScheme) setEphemeralKeyPair(skE KEMPrivateKey) { + panic("SIKE cannot use a pre-set ephemeral key pair") +} + +////////// +// AES-GCM + +type aesgcmScheme struct { + keySize int +} + +func (s aesgcmScheme) ID() AEADID { + switch s.keySize { + case 16: + return AEAD_AESGCM128 + case 32: + return AEAD_AESGCM256 + } + panic(fmt.Sprintf("Unsupported key size: %d", s.keySize)) + +} + +func (s aesgcmScheme) New(key []byte) (cipher.AEAD, error) { + if len(key) != s.keySize { + return nil, fmt.Errorf("Incorrect key size %d != %d", len(key), s.keySize) + } + + block, err := aes.NewCipher(key) + if err != nil { + return nil, err + } + + return cipher.NewGCM(block) +} + +func (s aesgcmScheme) KeySize() int { + return s.keySize +} + +func (s aesgcmScheme) NonceSize() int { + return 12 +} + +////////// +// ChaCha20-Poly1305 + +type chachaPolyScheme struct { +} + +func (s chachaPolyScheme) ID() AEADID { + return AEAD_CHACHA20POLY1305 +} + +func (s chachaPolyScheme) New(key []byte) (cipher.AEAD, error) { + return chacha20poly1305.New(key) +} + +func (s chachaPolyScheme) KeySize() int { + return chacha20poly1305.KeySize +} + +func (s chachaPolyScheme) NonceSize() int { + return chacha20poly1305.NonceSize +} + +/////// +// HKDF + +type hkdfScheme struct { + hash crypto.Hash +} + +func (s hkdfScheme) ID() KDFID { + switch s.hash { + case crypto.SHA256: + return KDF_HKDF_SHA256 + case crypto.SHA384: + return KDF_HKDF_SHA384 + case crypto.SHA512: + return KDF_HKDF_SHA512 + } + panic(fmt.Sprintf("Unsupported hash: %d", s.hash)) +} + +func (s hkdfScheme) Hash(message []byte) []byte { + h := s.hash.New() + h.Write(message) + return h.Sum(nil) +} + +func (s hkdfScheme) Extract(salt, ikm []byte) []byte { + saltOrZero := salt + + // if [salt is] not provided, it is set to a string of HashLen zeros + if salt == nil { + saltOrZero = make([]byte, s.hash.Size()) + } + + h := hmac.New(s.hash.New, saltOrZero) + h.Write(ikm) + return h.Sum(nil) +} + +func (s hkdfScheme) Expand(prk, info []byte, outLen int) []byte { + out := []byte{} + T := []byte{} + i := byte(1) + for len(out) < outLen { + block := append(T, info...) + block = append(block, i) + + h := hmac.New(s.hash.New, prk) + h.Write(block) + + T = h.Sum(nil) + out = append(out, T...) + i++ + } + return out[:outLen] +} + +func (s hkdfScheme) LabeledExtract(salt []byte, suiteID []byte, label string, ikm []byte) []byte { + labeledIKM := append([]byte(rfcLabel+" "), suiteID...) + labeledIKM = append(labeledIKM, []byte(label)...) + labeledIKM = append(labeledIKM, ikm...) + return s.Extract(salt, labeledIKM) +} + +func (s hkdfScheme) LabeledExpand(prk []byte, suiteID []byte, label string, info []byte, L int) []byte { + if L > (1 << 16) { + panic("Expand length cannot be larger than 2^16") + } + + lengthBuffer := make([]byte, 2) + binary.BigEndian.PutUint16(lengthBuffer, uint16(L)) + labeledLength := append(lengthBuffer, []byte(rfcLabel+" ")...) + labeledInfo := append(labeledLength, suiteID...) + labeledInfo = append(labeledInfo, []byte(label)...) + labeledInfo = append(labeledInfo, info...) + + return s.Expand(prk, labeledInfo, L) +} + +func (s hkdfScheme) OutputSize() int { + return s.hash.Size() +} + +/////////////////////////// +// Pre-defined KEM identifiers + +type KEMID uint16 + +const ( + DHKEM_P256 KEMID = 0x0010 + DHKEM_P521 KEMID = 0x0012 + DHKEM_X25519 KEMID = 0x0020 + KEM_SIKE503 KEMID = 0xFFFE + KEM_SIKE751 KEMID = 0xFFFF +) + +var kems = map[KEMID]KEMScheme{ + DHKEM_X25519: &dhkemScheme{group: x25519Scheme{}}, + DHKEM_P256: &dhkemScheme{group: ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}}, + DHKEM_P521: &dhkemScheme{group: ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA512}}}, + KEM_SIKE503: &sikeScheme{field: sidh.Fp503, KDF: hkdfScheme{hash: crypto.SHA512}}, + KEM_SIKE751: &sikeScheme{field: sidh.Fp751, KDF: hkdfScheme{hash: crypto.SHA512}}, +} + +func newKEMScheme(kemID KEMID) (KEMScheme, bool) { + switch kemID { + case DHKEM_X25519: + return &dhkemScheme{group: x25519Scheme{}}, true + case DHKEM_P256: + return &dhkemScheme{group: ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}}, true + case DHKEM_P521: + return &dhkemScheme{group: ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA512}}}, true + case KEM_SIKE503: + return &sikeScheme{field: sidh.Fp503, KDF: hkdfScheme{hash: crypto.SHA512}}, true + case KEM_SIKE751: + return &sikeScheme{field: sidh.Fp751, KDF: hkdfScheme{hash: crypto.SHA512}}, true + default: + return nil, false + } +} + +/////////////////////////// +// Pre-defined KDF identifiers + +type KDFID uint16 + +const ( + KDF_HKDF_SHA256 KDFID = 0x0001 + KDF_HKDF_SHA384 KDFID = 0x0002 + KDF_HKDF_SHA512 KDFID = 0x0003 +) + +var kdfs = map[KDFID]KDFScheme{ + KDF_HKDF_SHA256: hkdfScheme{hash: crypto.SHA256}, + KDF_HKDF_SHA384: hkdfScheme{hash: crypto.SHA384}, + KDF_HKDF_SHA512: hkdfScheme{hash: crypto.SHA512}, +} + +/////////////////////////// +// Pre-defined AEAD identifiers + +type AEADID uint16 + +const ( + AEAD_AESGCM128 AEADID = 0x0001 + AEAD_AESGCM256 AEADID = 0x0002 + AEAD_CHACHA20POLY1305 AEADID = 0x0003 +) + +var aeads = map[AEADID]AEADScheme{ + AEAD_AESGCM128: aesgcmScheme{keySize: 16}, + AEAD_AESGCM256: aesgcmScheme{keySize: 32}, + AEAD_CHACHA20POLY1305: chachaPolyScheme{}, +} + +func AssembleCipherSuite(kemID KEMID, kdfID KDFID, aeadID AEADID) (CipherSuite, error) { + kem, ok := newKEMScheme(kemID) + if !ok { + return CipherSuite{}, fmt.Errorf("Unknown KEM id") + } + + kdf, ok := kdfs[kdfID] + if !ok { + return CipherSuite{}, fmt.Errorf("Unknown KDF id") + } + + aead, ok := aeads[aeadID] + if !ok { + return CipherSuite{}, fmt.Errorf("Unknown AEAD id") + } + + return CipherSuite{ + KEM: kem, + KDF: kdf, + AEAD: aead, + }, nil +} + +////////// +// Helpers + +func kemSuiteFromID(id KEMID) []byte { + idBuffer := make([]byte, 2) + binary.BigEndian.PutUint16(idBuffer, uint16(id)) + return append([]byte("KEM"), idBuffer...) +} diff --git a/src/crypto/tls/internal/hpke/crypto_test.go b/src/crypto/tls/internal/hpke/crypto_test.go new file mode 100644 index 00000000000..a53b05d53cf --- /dev/null +++ b/src/crypto/tls/internal/hpke/crypto_test.go @@ -0,0 +1,141 @@ +package hpke + +import ( + "bytes" + "circl/dh/sidh" + "crypto" + "crypto/elliptic" + "crypto/rand" + "testing" +) + +func randomBytes(size int) []byte { + out := make([]byte, size) + rand.Read(out) + return out +} + +func TestKEMSchemes(t *testing.T) { + schemes := []KEMScheme{ + &dhkemScheme{group: x25519Scheme{}}, + &dhkemScheme{group: ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}}, + &dhkemScheme{group: ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA256}}}, + &sikeScheme{field: sidh.Fp503, KDF: hkdfScheme{hash: crypto.SHA512}}, + &sikeScheme{field: sidh.Fp751, KDF: hkdfScheme{hash: crypto.SHA512}}, + } + + for i, s := range schemes { + ikm := make([]byte, s.PrivateKeySize()) + rand.Reader.Read(ikm) + + skR, pkR, err := s.DeriveKeyPair(ikm) + if err != nil { + t.Fatalf("[%d] Error generating KEM key pair: %v", i, err) + } + + sharedSecretI, enc, err := s.Encap(rand.Reader, pkR) + if err != nil { + t.Fatalf("[%d] Error in KEM encapsulation: %v", i, err) + } + + sharedSecretR, err := s.Decap(enc, skR) + if err != nil { + t.Fatalf("[%d] Error in KEM decapsulation: %v", i, err) + } + + if !bytes.Equal(sharedSecretI, sharedSecretR) { + t.Fatalf("[%d] Asymmetric KEM results [%x] != [%x]", i, sharedSecretI, sharedSecretR) + } + } +} + +func TestDHSchemes(t *testing.T) { + schemes := []dhScheme{ + ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}, + ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA512}}, + x25519Scheme{}, + } + + for i, s := range schemes { + ikm := make([]byte, s.PrivateKeySize()) + rand.Reader.Read(ikm) + skA, pkA, err := s.DeriveKeyPair(ikm) + if err != nil { + t.Fatalf("[%d] Error generating DH key pair: %v", i, err) + } + + rand.Reader.Read(ikm) + skB, pkB, err := s.DeriveKeyPair(ikm) + if err != nil { + t.Fatalf("[%d] Error generating DH key pair: %v", i, err) + } + + enc := s.Serialize(pkA) + _, err = s.Deserialize(enc) + if err != nil { + t.Fatalf("[%d] Error parsing DH public key: %v", i, err) + } + + sharedSecretAB, err := s.DH(skA, pkB) + if err != nil { + t.Fatalf("[%d] Error performing DH operation: %v", i, err) + } + + sharedSecretBA, err := s.DH(skB, pkA) + if err != nil { + t.Fatalf("[%d] Error performing DH operation: %v", i, err) + } + + if !bytes.Equal(sharedSecretAB, sharedSecretBA) { + t.Fatalf("[%d] Asymmetric DH results [%x] != [%x]", i, sharedSecretAB, sharedSecretBA) + } + + if len(s.Serialize(pkA)) != len(s.Serialize(pkB)) { + t.Fatalf("[%d] Non-constant public key size [%x] != [%x]", i, len(s.Serialize(pkA)), len(s.Serialize(pkB))) + } + } +} + +func TestAEADSchemes(t *testing.T) { + schemes := []AEADScheme{ + aesgcmScheme{keySize: 16}, + aesgcmScheme{keySize: 32}, + chachaPolyScheme{}, + } + + for i, s := range schemes { + key := randomBytes(int(s.KeySize())) + nonce := randomBytes(int(s.NonceSize())) + pt := randomBytes(1024) + aad := randomBytes(1024) + + aead, err := s.New(key) + if err != nil { + t.Fatalf("[%d] Error instantiating AEAD: %v", i, err) + } + + ctWithAAD := aead.Seal(nil, nonce, pt, aad) + ptWithAAD, err := aead.Open(nil, nonce, ctWithAAD, aad) + if err != nil { + t.Fatalf("[%d] Error decrypting with AAD: %v", i, err) + } + + if !bytes.Equal(ptWithAAD, pt) { + t.Fatalf("[%d] Incorrect decryption [%x] != [%x]", i, ptWithAAD, pt) + } + + ctWithoutAAD := aead.Seal(nil, nonce, pt, nil) + ptWithoutAAD, err := aead.Open(nil, nonce, ctWithoutAAD, nil) + if err != nil { + t.Fatalf("[%d] Error decrypting without AAD: %v", i, err) + } + + if !bytes.Equal(ptWithoutAAD, pt) { + t.Fatalf("[%d] Incorrect decryption [%x] != [%x]", i, ptWithoutAAD, pt) + } + + if bytes.Equal(ctWithAAD, ctWithoutAAD) { + t.Fatalf("[%d] AAD not included in ciphertext", i) + } + } +} diff --git a/src/crypto/tls/internal/hpke/hpke.go b/src/crypto/tls/internal/hpke/hpke.go new file mode 100644 index 00000000000..428438c1e06 --- /dev/null +++ b/src/crypto/tls/internal/hpke/hpke.go @@ -0,0 +1,537 @@ +package hpke + +import ( + "bytes" + "crypto/cipher" + "encoding/binary" + "fmt" + "io" + + "crypto/tls/internal/syntax" +) + +const ( + debug = true + rfcLabel = "HPKE-05" +) + +type KEMPrivateKey interface { + PublicKey() KEMPublicKey +} + +type KEMPublicKey interface{} + +type KEMScheme interface { + ID() KEMID + DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) + Serialize(pk KEMPublicKey) []byte + Deserialize(enc []byte) (KEMPublicKey, error) + Encap(rand io.Reader, pkR KEMPublicKey) ([]byte, []byte, error) + Decap(enc []byte, skR KEMPrivateKey) ([]byte, error) + PublicKeySize() int + PrivateKeySize() int + + SerializePrivate(sk KEMPrivateKey) []byte + DeserializePrivate(enc []byte) (KEMPrivateKey, error) + + setEphemeralKeyPair(sk KEMPrivateKey) +} + +type AuthKEMScheme interface { + KEMScheme + AuthEncap(rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey) ([]byte, []byte, error) + AuthDecap(enc []byte, skR KEMPrivateKey, pkS KEMPublicKey) ([]byte, error) +} + +type KDFScheme interface { + ID() KDFID + Hash(message []byte) []byte + Extract(salt, ikm []byte) []byte + Expand(prk, info []byte, L int) []byte + LabeledExtract(salt []byte, suiteID []byte, label string, ikm []byte) []byte + LabeledExpand(prk []byte, suiteID []byte, label string, info []byte, L int) []byte + OutputSize() int +} + +type AEADScheme interface { + ID() AEADID + New(key []byte) (cipher.AEAD, error) + KeySize() int + NonceSize() int +} + +type CipherSuite struct { + KEM KEMScheme + KDF KDFScheme + AEAD AEADScheme +} + +func (suite CipherSuite) ID() []byte { + suiteID := make([]byte, 6) + binary.BigEndian.PutUint16(suiteID, uint16(suite.KEM.ID())) + binary.BigEndian.PutUint16(suiteID[2:], uint16(suite.KDF.ID())) + binary.BigEndian.PutUint16(suiteID[4:], uint16(suite.AEAD.ID())) + return append([]byte("HPKE"), suiteID...) +} + +type Mode uint8 + +const ( + modeBase Mode = 0x00 + modePSK Mode = 0x01 + modeAuth Mode = 0x02 + modeAuthPSK Mode = 0x03 +) + +/////// +// Core + +func defaultPSK(suite CipherSuite) []byte { + return []byte{} +} + +func defaultPSKID(suite CipherSuite) []byte { + return []byte{} +} + +func verifyPSKInputs(suite CipherSuite, mode Mode, psk, pskID []byte) error { + defaultPSK := defaultPSK(suite) + defaultPSKID := defaultPSKID(suite) + pskMode := map[Mode]bool{modePSK: true, modeAuthPSK: true} + + gotPSK := !bytes.Equal(psk, defaultPSK) + gotPSKID := !bytes.Equal(pskID, defaultPSKID) + + switch { + case gotPSK != gotPSKID: + return fmt.Errorf("Inconsistent PSK inputs [%d] [%v] [%v]", mode, gotPSK, gotPSKID) + case gotPSK && !pskMode[mode]: + return fmt.Errorf("PSK input provided when not needed [%d]", mode) + case !gotPSK && pskMode[mode]: + return fmt.Errorf("Missing required PSK input [%d]", mode) + } + + return nil +} + +type hpkeContext struct { + mode Mode + pskIDHash []byte `tls:"head=none"` + infoHash []byte `tls:"head=none"` +} + +type contextParameters struct { + suite CipherSuite + keyScheduleContext []byte + secret []byte +} + +func (cp contextParameters) aeadKey() []byte { + return cp.suite.KDF.LabeledExpand(cp.secret, cp.suite.ID(), "key", cp.keyScheduleContext, cp.suite.AEAD.KeySize()) +} + +func (cp contextParameters) exporterSecret() []byte { + return cp.suite.KDF.LabeledExpand(cp.secret, cp.suite.ID(), "exp", cp.keyScheduleContext, cp.suite.KDF.OutputSize()) +} + +func (cp contextParameters) aeadNonce() []byte { + return cp.suite.KDF.LabeledExpand(cp.secret, cp.suite.ID(), "nonce", cp.keyScheduleContext, cp.suite.AEAD.NonceSize()) +} + +type setupParameters struct { + sharedSecret []byte + enc []byte +} + +func keySchedule(suite CipherSuite, mode Mode, sharedSecret, info, psk, pskID []byte) (contextParameters, error) { + err := verifyPSKInputs(suite, mode, psk, pskID) + if err != nil { + return contextParameters{}, err + } + + suiteID := suite.ID() + pskIDHash := suite.KDF.LabeledExtract(nil, suiteID, "psk_id_hash", pskID) + infoHash := suite.KDF.LabeledExtract(nil, suiteID, "info_hash", info) + + contextStruct := hpkeContext{mode, pskIDHash, infoHash} + keyScheduleContext, err := syntax.Marshal(contextStruct) + if err != nil { + return contextParameters{}, err + } + + pskHash := suite.KDF.LabeledExtract(nil, suiteID, "psk_hash", psk) + secret := suite.KDF.LabeledExtract(pskHash, suiteID, "secret", sharedSecret) + + params := contextParameters{ + suite: suite, + keyScheduleContext: keyScheduleContext, + secret: secret, + } + + return params, nil +} + +// contextRole specifies the role of a party in possession of a Context: if +// equal to `contextRoleSender`, then the party is the sender; if equal to +// `contextRoleReceiver`, then the party is the receiver. +type contextRole uint8 + +const ( + contextRoleSender contextRole = 0x00 + contextRoleReceiver contextRole = 0x01 +) + +// context represents an HPKE context encoded on the wire. +type context struct { + // Marshaled fields + Role contextRole + KEMID KEMID + KDFID KDFID + AEADID AEADID + ExporterSecret []byte `tls:"head=1"` + Key []byte `tls:"head=1"` + Nonce []byte `tls:"head=1"` + Seq uint64 + + // Operational structures + aead cipher.AEAD `tls:"omit"` + suite CipherSuite `tls:"omit"` + + // Historical record + nonces [][]byte `tls:"omit"` + setupParams setupParameters `tls:"omit"` + contextParams contextParameters `tls:"omit"` +} + +func newContext(role contextRole, suite CipherSuite, setupParams setupParameters, contextParams contextParameters) (context, error) { + key := contextParams.aeadKey() + nonce := contextParams.aeadNonce() + exporterSecret := contextParams.exporterSecret() + + aead, err := suite.AEAD.New(key) + if err != nil { + return context{}, err + } + + ctx := context{ + Role: role, + KEMID: suite.KEM.ID(), + KDFID: suite.KDF.ID(), + AEADID: suite.AEAD.ID(), + ExporterSecret: exporterSecret, + Key: key, + Nonce: nonce, + Seq: 0, + aead: aead, + suite: suite, + setupParams: setupParams, + contextParams: contextParams, + } + + return ctx, nil +} + +func unmarshalContext(role contextRole, opaque []byte) (context, error) { + var ctx context + var err error + if _, err = syntax.Unmarshal(opaque, &ctx); err != nil { + return context{}, err + } + + if ctx.Role != role { + return context{}, fmt.Errorf("role mismatch") + } + + ctx.suite, err = AssembleCipherSuite(ctx.KEMID, ctx.KDFID, ctx.AEADID) + if err != nil { + return context{}, err + } + + // Construct AEAD and validate the key length. + ctx.aead, err = ctx.suite.AEAD.New(ctx.Key) + if err != nil { + return context{}, err + } + + // Validate the nonce length. + if len(ctx.Nonce) != ctx.aead.NonceSize() { + return context{}, fmt.Errorf("nonce length: got %d; want %d", len(ctx.Nonce), ctx.aead.NonceSize()) + } + + // Validate the exporter secret length. + if len(ctx.ExporterSecret) != ctx.suite.KDF.OutputSize() { + return context{}, fmt.Errorf("exporter secret length: got %d; want %d", len(ctx.ExporterSecret), ctx.suite.KDF.OutputSize()) + } + + return ctx, nil +} + +func (ctx *context) computeNonce() []byte { + buf := make([]byte, 8) + binary.BigEndian.PutUint64(buf, ctx.Seq) + + Nn := len(ctx.Nonce) + nonce := make([]byte, Nn) + copy(nonce, ctx.Nonce) + for i := range buf { + nonce[Nn-8+i] ^= buf[i] + } + + ctx.nonces = append(ctx.nonces, nonce) + return nonce +} + +func (ctx *context) incrementSeq() { + ctx.Seq += 1 + if ctx.Seq == 0 { + panic("sequence number wrapped") + } +} + +func (ctx *context) Export(context []byte, L int) []byte { + return ctx.suite.KDF.LabeledExpand(ctx.ExporterSecret, ctx.suite.ID(), "sec", context, L) +} + +func (ctx *context) Marshal() ([]byte, error) { + return syntax.Marshal(ctx) +} + +type EncryptContext struct { + context +} + +func newEncryptContext(suite CipherSuite, setupParams setupParameters, contextParams contextParameters) (*EncryptContext, error) { + ctx, err := newContext(contextRoleSender, suite, setupParams, contextParams) + if err != nil { + return nil, err + } + + return &EncryptContext{ctx}, nil +} + +func (ctx *EncryptContext) Seal(aad, pt []byte) []byte { + ct := ctx.aead.Seal(nil, ctx.computeNonce(), pt, aad) + ctx.incrementSeq() + return ct +} + +func UnmarshalEncryptContext(opaque []byte) (*EncryptContext, error) { + ctx, err := unmarshalContext(contextRoleSender, opaque) + if err != nil { + return nil, err + } + + return &EncryptContext{ctx}, nil +} + +type DecryptContext struct { + context +} + +func newDecryptContext(suite CipherSuite, setupParams setupParameters, contextParams contextParameters) (*DecryptContext, error) { + ctx, err := newContext(contextRoleReceiver, suite, setupParams, contextParams) + if err != nil { + return nil, err + } + + return &DecryptContext{ctx}, nil +} + +func (ctx *DecryptContext) Open(aad, ct []byte) ([]byte, error) { + pt, err := ctx.aead.Open(nil, ctx.computeNonce(), ct, aad) + if err != nil { + return nil, err + } + + ctx.incrementSeq() + return pt, nil +} + +func UnmarshalDecryptContext(opaque []byte) (*DecryptContext, error) { + ctx, err := unmarshalContext(contextRoleReceiver, opaque) + if err != nil { + return nil, err + } + + return &DecryptContext{ctx}, nil +} + +/////// +// Base + +func SetupBaseS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, info []byte) ([]byte, *EncryptContext, error) { + // sharedSecret, enc = Encap(pkR) + sharedSecret, enc, err := suite.KEM.Encap(rand, pkR) + if err != nil { + return nil, nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modeBase, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) + if err != nil { + return nil, nil, err + } + + ctx, err := newEncryptContext(suite, setupParams, params) + return enc, ctx, err +} + +func SetupBaseR(suite CipherSuite, skR KEMPrivateKey, enc, info []byte) (*DecryptContext, error) { + // sharedSecret = Decap(enc, skR) + sharedSecret, err := suite.KEM.Decap(enc, skR) + if err != nil { + return nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modeBase, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) + if err != nil { + return nil, err + } + + return newDecryptContext(suite, setupParams, params) +} + +////// +// PSK + +func SetupPSKS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, psk, pskID, info []byte) ([]byte, *EncryptContext, error) { + // sharedSecret, enc = Encap(pkR) + sharedSecret, enc, err := suite.KEM.Encap(rand, pkR) + if err != nil { + return nil, nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modePSK, sharedSecret, info, psk, pskID) + if err != nil { + return nil, nil, err + } + + ctx, err := newEncryptContext(suite, setupParams, params) + return enc, ctx, err +} + +func SetupPSKR(suite CipherSuite, skR KEMPrivateKey, enc, psk, pskID, info []byte) (*DecryptContext, error) { + // sharedSecret = Decap(enc, skR) + sharedSecret, err := suite.KEM.Decap(enc, skR) + if err != nil { + return nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modePSK, sharedSecret, info, psk, pskID) + if err != nil { + return nil, err + } + + return newDecryptContext(suite, setupParams, params) +} + +/////// +// Auth + +func SetupAuthS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey, info []byte) ([]byte, *EncryptContext, error) { + // sharedSecret, enc = AuthEncap(pkR, skS) + auth := suite.KEM.(AuthKEMScheme) + sharedSecret, enc, err := auth.AuthEncap(rand, pkR, skS) + if err != nil { + return nil, nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modeAuth, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) + if err != nil { + return nil, nil, err + } + + ctx, err := newEncryptContext(suite, setupParams, params) + return enc, ctx, err +} + +func SetupAuthR(suite CipherSuite, skR KEMPrivateKey, pkS KEMPublicKey, enc, info []byte) (*DecryptContext, error) { + // sharedSecret = AuthDecap(enc, skR, pkS) + auth := suite.KEM.(AuthKEMScheme) + sharedSecret, err := auth.AuthDecap(enc, skR, pkS) + if err != nil { + return nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modeAuth, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) + if err != nil { + return nil, err + } + + return newDecryptContext(suite, setupParams, params) +} + +///////////// +// PSK + Auth + +func SetupAuthPSKS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey, psk, pskID, info []byte) ([]byte, *EncryptContext, error) { + // sharedSecret, enc = AuthEncap(pkR, skS) + auth := suite.KEM.(AuthKEMScheme) + sharedSecret, enc, err := auth.AuthEncap(rand, pkR, skS) + if err != nil { + return nil, nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modeAuthPSK, sharedSecret, info, psk, pskID) + if err != nil { + return nil, nil, err + } + + ctx, err := newEncryptContext(suite, setupParams, params) + return enc, ctx, err +} + +func SetupAuthPSKR(suite CipherSuite, skR KEMPrivateKey, pkS KEMPublicKey, enc, psk, pskID, info []byte) (*DecryptContext, error) { + // sharedSecret = AuthDecap(enc, skR, pkS) + auth := suite.KEM.(AuthKEMScheme) + sharedSecret, err := auth.AuthDecap(enc, skR, pkS) + if err != nil { + return nil, err + } + + setupParams := setupParameters{ + sharedSecret: sharedSecret, + enc: enc, + } + + params, err := keySchedule(suite, modeAuthPSK, sharedSecret, info, psk, pskID) + if err != nil { + return nil, err + } + + return newDecryptContext(suite, setupParams, params) +} diff --git a/src/crypto/tls/internal/hpke/hpke_test.go b/src/crypto/tls/internal/hpke/hpke_test.go new file mode 100644 index 00000000000..357823ec311 --- /dev/null +++ b/src/crypto/tls/internal/hpke/hpke_test.go @@ -0,0 +1,777 @@ +package hpke + +import ( + "bytes" + "crypto/rand" + "encoding/hex" + "encoding/json" + "fmt" + "io/ioutil" + "os" + "testing" +) + +var ( + fixedPSK = []byte{0x5d, 0xb3, 0xb8, 0x0a, 0x81, 0xcb, 0x63, 0xca, 0x59, 0x47, 0x0c, 0x83, 0x41, 0x4e, 0xf7, 0x0a} + fixedPSKID = []byte("Ennyn Durin aran Moria") + original = []byte("Beauty is truth, truth beauty") + aad = []byte("that is all // Ye know on earth, and all ye need to know") + info = []byte("Ode on a Grecian Urn") + rtts = 10 + exportContext = []byte("test export") + exportLength = 32 +) + +const ( + outputTestVectorEnvironmentKey = "HPKE_TEST_VECTORS_OUT" + inputTestVectorEnvironmentKey = "HPKE_TEST_VECTORS_IN" + testVectorEncryptionCount = 10 + testVectorExportCount = 5 + testVectorExportLength = 32 +) + +/////// +// Infallible Serialize / Deserialize +func fatalOnError(t *testing.T, err error, msg string) { + realMsg := fmt.Sprintf("%s: %v", msg, err) + if err != nil { + if t != nil { + t.Fatalf(realMsg) + } else { + panic(realMsg) + } + } +} + +func mustUnhex(t *testing.T, h string) []byte { + out, err := hex.DecodeString(h) + fatalOnError(t, err, "Unhex failed") + return out +} + +func mustHex(d []byte) string { + return hex.EncodeToString(d) +} + +func mustDeserializePriv(t *testing.T, suite CipherSuite, h string, required bool) KEMPrivateKey { + skm := mustUnhex(t, h) + sk, err := suite.KEM.DeserializePrivate(skm) + if required { + fatalOnError(t, err, "DeserializePrivate failed") + } + return sk +} + +func mustSerializePriv(suite CipherSuite, priv KEMPrivateKey) string { + return mustHex(suite.KEM.SerializePrivate(priv)) +} + +func mustDeserializePub(t *testing.T, suite CipherSuite, h string, required bool) KEMPublicKey { + pkm := mustUnhex(t, h) + pk, err := suite.KEM.Deserialize(pkm) + if required { + fatalOnError(t, err, "Deserialize failed") + } + return pk +} + +func mustSerializePub(suite CipherSuite, pub KEMPublicKey) string { + return mustHex(suite.KEM.Serialize(pub)) +} + +func mustGenerateKeyPair(t *testing.T, suite CipherSuite) (KEMPrivateKey, KEMPublicKey, []byte) { + ikm := make([]byte, suite.KEM.PrivateKeySize()) + rand.Reader.Read(ikm) + sk, pk, err := suite.KEM.DeriveKeyPair(ikm) + fatalOnError(t, err, "Error generating DH key pair") + return sk, pk, ikm +} + +/////// +// Assertions +func assert(t *testing.T, suite CipherSuite, msg string, test bool) { + if !test { + t.Fatalf("[%04x, %04x, %04x] %s", suite.KEM.ID(), suite.KDF.ID(), suite.AEAD.ID(), msg) + } +} + +func assertNotError(t *testing.T, suite CipherSuite, msg string, err error) { + realMsg := fmt.Sprintf("%s: %v", msg, err) + assert(t, suite, realMsg, err == nil) +} + +func assertBytesEqual(t *testing.T, suite CipherSuite, msg string, lhs, rhs []byte) { + realMsg := fmt.Sprintf("%s: [%x] != [%x]", msg, lhs, rhs) + assert(t, suite, realMsg, bytes.Equal(lhs, rhs)) +} + +func assertCipherContextEqual(t *testing.T, suite CipherSuite, msg string, lhs, rhs context) { + // Verify the serialized fields match. + assert(t, suite, fmt.Sprintf("%s: %s", msg, "role"), lhs.Role == rhs.Role) + assert(t, suite, fmt.Sprintf("%s: %s", msg, "KEM id"), lhs.KEMID == rhs.KEMID) + assert(t, suite, fmt.Sprintf("%s: %s", msg, "KDF id"), lhs.KDFID == rhs.KDFID) + assert(t, suite, fmt.Sprintf("%s: %s", msg, "AEAD id"), lhs.AEADID == rhs.AEADID) + assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "exporter secret"), lhs.ExporterSecret, rhs.ExporterSecret) + assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "key"), lhs.Key, rhs.Key) + assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "nonce"), lhs.Nonce, rhs.Nonce) + assert(t, suite, fmt.Sprintf("%s: %s", msg, "sequence number"), lhs.Seq == rhs.Seq) + + // Verify that the internal AEAD object uses the same algorithm and is keyed + // with the same key. + var got, want []byte + lhs.aead.Seal(got, lhs.Nonce, nil, nil) + rhs.aead.Seal(want, rhs.Nonce, nil, nil) + assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "internal AEAD representation"), got, want) + + // Verify that the internal representation of the cipher suite matches. + assert(t, suite, fmt.Sprintf("%s: %s", msg, "KEM scheme representation"), lhs.suite.KEM.ID() == rhs.suite.KEM.ID()) + assert(t, suite, fmt.Sprintf("%s: %s", msg, "KDF scheme representation"), lhs.suite.KDF.ID() == rhs.suite.KDF.ID()) + assert(t, suite, fmt.Sprintf("%s: %s", msg, "AEAD scheme representation"), lhs.suite.AEAD.ID() == rhs.suite.AEAD.ID()) +} + +/////// +// Symmetric encryption test vector structure +type encryptionTestVector struct { + plaintext []byte + aad []byte + nonce []byte + ciphertext []byte +} + +func (etv encryptionTestVector) MarshalJSON() ([]byte, error) { + return json.Marshal(map[string]string{ + "plaintext": mustHex(etv.plaintext), + "aad": mustHex(etv.aad), + "nonce": mustHex(etv.nonce), + "ciphertext": mustHex(etv.ciphertext), + }) +} + +func (etv *encryptionTestVector) UnmarshalJSON(data []byte) error { + raw := map[string]string{} + err := json.Unmarshal(data, &raw) + if err != nil { + return err + } + + etv.plaintext = mustUnhex(nil, raw["plaintext"]) + etv.aad = mustUnhex(nil, raw["aad"]) + etv.nonce = mustUnhex(nil, raw["nonce"]) + etv.ciphertext = mustUnhex(nil, raw["ciphertext"]) + return nil +} + +/////// +// Exporter test vector structures +type rawExporterTestVector struct { + ExportContext string `json:"exportContext"` + ExportLength int `json:"exportLength"` + ExportValue string `json:"exportValue"` +} + +type exporterTestVector struct { + exportContext []byte + exportLength int + exportValue []byte +} + +func (etv exporterTestVector) MarshalJSON() ([]byte, error) { + return json.Marshal(rawExporterTestVector{ + ExportContext: mustHex(etv.exportContext), + ExportLength: etv.exportLength, + ExportValue: mustHex(etv.exportValue), + }) +} + +func (etv *exporterTestVector) UnmarshalJSON(data []byte) error { + raw := rawExporterTestVector{} + err := json.Unmarshal(data, &raw) + if err != nil { + return err + } + + etv.exportContext = mustUnhex(nil, raw.ExportContext) + etv.exportLength = raw.ExportLength + etv.exportValue = mustUnhex(nil, raw.ExportValue) + return nil +} + +/////// +// HPKE test vector structures +type rawTestVector struct { + // Parameters + Mode Mode `json:"mode"` + KEMID KEMID `json:"kem_id"` + KDFID KDFID `json:"kdf_id"` + AEADID AEADID `json:"aead_id"` + Info string `json:"info"` + + // Private keys + SeedR string `json:"seedR"` + SeedS string `json:"seedS,omitempty"` + SeedE string `json:"seedE"` + SKR string `json:"skRm"` + SKS string `json:"skSm,omitempty"` + SKE string `json:"skEm"` + PSK string `json:"psk,omitempty"` + PSKID string `json:"psk_id,omitempty"` + + // Public keys + PKR string `json:"pkRm"` + PKS string `json:"pkSm,omitempty"` + PKE string `json:"pkEm"` + + // Key schedule inputs and computations + Enc string `json:"enc"` + SharedSecret string `json:"shared_secret"` + KeyScheduleContext string `json:"key_schedule_context"` + Secret string `json:"secret"` + Key string `json:"key"` + Nonce string `json:"nonce"` + ExporterSecret string `json:"exporter_secret"` + + Encryptions []encryptionTestVector `json:"encryptions"` + Exports []exporterTestVector `json:"exports"` +} + +type testVector struct { + t *testing.T + suite CipherSuite + + // Parameters + mode Mode + kem_id KEMID + kdf_id KDFID + aead_id AEADID + info []byte + + // Private keys + skR KEMPrivateKey + skS KEMPrivateKey + skE KEMPrivateKey + seedR []byte + seedS []byte + seedE []byte + psk []byte + psk_id []byte + + // Public keys + pkR KEMPublicKey + pkS KEMPublicKey + pkE KEMPublicKey + + // Key schedule inputs and computations + enc []byte + sharedSecret []byte + keyScheduleContext []byte + secret []byte + key []byte + nonce []byte + exporterSecret []byte + + encryptions []encryptionTestVector + exports []exporterTestVector +} + +func (tv testVector) MarshalJSON() ([]byte, error) { + return json.Marshal(rawTestVector{ + Mode: tv.mode, + KEMID: tv.kem_id, + KDFID: tv.kdf_id, + AEADID: tv.aead_id, + Info: mustHex(tv.info), + + SeedR: mustHex(tv.seedR), + SeedS: mustHex(tv.seedS), + SeedE: mustHex(tv.seedE), + SKR: mustSerializePriv(tv.suite, tv.skR), + SKS: mustSerializePriv(tv.suite, tv.skS), + SKE: mustSerializePriv(tv.suite, tv.skE), + PSK: mustHex(tv.psk), + PSKID: mustHex(tv.psk_id), + + PKR: mustSerializePub(tv.suite, tv.pkR), + PKS: mustSerializePub(tv.suite, tv.pkS), + PKE: mustSerializePub(tv.suite, tv.pkE), + + Enc: mustHex(tv.enc), + SharedSecret: mustHex(tv.sharedSecret), + KeyScheduleContext: mustHex(tv.keyScheduleContext), + Secret: mustHex(tv.secret), + Key: mustHex(tv.key), + Nonce: mustHex(tv.nonce), + ExporterSecret: mustHex(tv.exporterSecret), + + Encryptions: tv.encryptions, + Exports: tv.exports, + }) +} + +func (tv *testVector) UnmarshalJSON(data []byte) error { + raw := rawTestVector{} + err := json.Unmarshal(data, &raw) + if err != nil { + return err + } + + tv.mode = raw.Mode + tv.kem_id = raw.KEMID + tv.kdf_id = raw.KDFID + tv.aead_id = raw.AEADID + tv.info = mustUnhex(tv.t, raw.Info) + + tv.suite, err = AssembleCipherSuite(raw.KEMID, raw.KDFID, raw.AEADID) + if err != nil { + return err + } + + modeRequiresSenderKey := (tv.mode == modeAuth || tv.mode == modeAuthPSK) + tv.skR = mustDeserializePriv(tv.t, tv.suite, raw.SKR, true) + tv.skS = mustDeserializePriv(tv.t, tv.suite, raw.SKS, modeRequiresSenderKey) + tv.skE = mustDeserializePriv(tv.t, tv.suite, raw.SKE, true) + + tv.pkR = mustDeserializePub(tv.t, tv.suite, raw.PKR, true) + tv.pkS = mustDeserializePub(tv.t, tv.suite, raw.PKS, modeRequiresSenderKey) + tv.pkE = mustDeserializePub(tv.t, tv.suite, raw.PKE, true) + + tv.psk = mustUnhex(tv.t, raw.PSK) + tv.psk_id = mustUnhex(tv.t, raw.PSKID) + + tv.seedR = mustUnhex(tv.t, raw.SeedR) + tv.seedS = mustUnhex(tv.t, raw.SeedS) + tv.seedE = mustUnhex(tv.t, raw.SeedE) + + tv.enc = mustUnhex(tv.t, raw.Enc) + tv.sharedSecret = mustUnhex(tv.t, raw.SharedSecret) + tv.keyScheduleContext = mustUnhex(tv.t, raw.KeyScheduleContext) + tv.secret = mustUnhex(tv.t, raw.Secret) + tv.key = mustUnhex(tv.t, raw.Key) + tv.nonce = mustUnhex(tv.t, raw.Nonce) + tv.exporterSecret = mustUnhex(tv.t, raw.ExporterSecret) + + tv.encryptions = raw.Encryptions + tv.exports = raw.Exports + return nil +} + +type testVectorArray struct { + t *testing.T + vectors []testVector +} + +func (tva testVectorArray) MarshalJSON() ([]byte, error) { + return json.Marshal(tva.vectors) +} + +func (tva *testVectorArray) UnmarshalJSON(data []byte) error { + err := json.Unmarshal(data, &tva.vectors) + if err != nil { + return err + } + + for i := range tva.vectors { + tva.vectors[i].t = tva.t + } + return nil +} + +/////// +// Generalize setup functions so that we can iterate over them easily +type setupMode struct { + Mode Mode + OK func(suite CipherSuite) bool + I func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) + R func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) +} + +var setupModes = map[Mode]setupMode{ + modeBase: { + Mode: modeBase, + OK: func(suite CipherSuite) bool { return true }, + I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { + return SetupBaseS(suite, rand.Reader, pkR, info) + }, + R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { + return SetupBaseR(suite, skR, enc, info) + }, + }, + modePSK: { + Mode: modePSK, + OK: func(suite CipherSuite) bool { return true }, + I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { + return SetupPSKS(suite, rand.Reader, pkR, psk, psk_id, info) + }, + R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { + return SetupPSKR(suite, skR, enc, psk, psk_id, info) + }, + }, + modeAuth: { + Mode: modeAuth, + OK: func(suite CipherSuite) bool { + _, ok := suite.KEM.(AuthKEMScheme) + return ok + }, + I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { + return SetupAuthS(suite, rand.Reader, pkR, skS, info) + }, + R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { + return SetupAuthR(suite, skR, pkS, enc, info) + }, + }, + modeAuthPSK: { + Mode: modeAuthPSK, + OK: func(suite CipherSuite) bool { + _, ok := suite.KEM.(AuthKEMScheme) + return ok + }, + I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { + return SetupAuthPSKS(suite, rand.Reader, pkR, skS, psk, psk_id, info) + }, + R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { + return SetupAuthPSKR(suite, skR, pkS, enc, psk, psk_id, info) + }, + }, +} + +/////// +// Direct tests + +type roundTripTest struct { + kem_id KEMID + kdf_id KDFID + aead_id AEADID + setup setupMode +} + +func (rtt roundTripTest) Test(t *testing.T) { + suite, err := AssembleCipherSuite(rtt.kem_id, rtt.kdf_id, rtt.aead_id) + if err != nil { + t.Fatalf("[%04x, %04x, %04x] Error looking up ciphersuite: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) + } + + if !rtt.setup.OK(suite) { + return + } + + skS, pkS, _ := mustGenerateKeyPair(t, suite) + skR, pkR, _ := mustGenerateKeyPair(t, suite) + + enc, ctxI, err := rtt.setup.I(suite, pkR, info, skS, fixedPSK, fixedPSKID) + assertNotError(t, suite, "Error in SetupI", err) + + ctxR, err := rtt.setup.R(suite, skR, enc, info, pkS, fixedPSK, fixedPSKID) + assertNotError(t, suite, "Error in SetupR", err) + + // Verify encryption functionality + for range make([]struct{}, rtts) { + encrypted := ctxI.Seal(aad, original) + decrypted, err := ctxR.Open(aad, encrypted) + assertNotError(t, suite, "Error in Open", err) + assertBytesEqual(t, suite, "Incorrect decryption", decrypted, original) + } + + // Verify exporter functionality + exportedI := ctxI.Export(exportContext, exportLength) + exportedR := ctxR.Export(exportContext, exportLength) + assertBytesEqual(t, suite, "Incorrect exported secret", exportedI, exportedR) + + // Verify encryption context serialization functionality + opaqueI, err := ctxI.Marshal() + if err != nil { + t.Fatalf("[%04x, %04x, %04x] Error serializing encrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) + } + + unmarshaledI, err := UnmarshalEncryptContext(opaqueI) + if err != nil { + t.Fatalf("[%04x, %04x, %04x] Error serializing encrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) + } + + assertCipherContextEqual(t, suite, "Encrypt context serialization mismatch", ctxI.context, unmarshaledI.context) + + // Verify decryption context serialization functionality + opaqueR, err := ctxR.Marshal() + if err != nil { + t.Fatalf("[%04x, %04x, %04x] Error serializing decrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) + } + + unmarshaledR, err := UnmarshalDecryptContext(opaqueR) + if err != nil { + t.Fatalf("[%04x, %04x, %04x] Error serializing decrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) + } + + assertCipherContextEqual(t, suite, "Decrypt context serialization mismatch", ctxR.context, unmarshaledR.context) + + // Verify exporter functionality for a deserialized context + assertBytesEqual(t, suite, "Export after serialization fails for sender", exportedI, unmarshaledI.Export(exportContext, exportLength)) + assertBytesEqual(t, suite, "Export after serialization fails for receiver", exportedR, unmarshaledR.Export(exportContext, exportLength)) +} + +func TestModes(t *testing.T) { + for kem_id, _ := range kems { + for kdf_id, _ := range kdfs { + for aead_id, _ := range aeads { + for mode, setup := range setupModes { + label := fmt.Sprintf("kem=%04x/kdf=%04x/aead=%04x/mode=%02x", kem_id, kdf_id, aead_id, mode) + rtt := roundTripTest{kem_id, kdf_id, aead_id, setup} + t.Run(label, rtt.Test) + } + } + } + } +} + +/////// +// Generation and processing of test vectors + +func verifyEncryptions(tv testVector, enc *EncryptContext, dec *DecryptContext) { + for _, data := range tv.encryptions { + encrypted := enc.Seal(data.aad, data.plaintext) + decrypted, err := dec.Open(data.aad, encrypted) + + assertNotError(tv.t, tv.suite, "Error in Open", err) + assertBytesEqual(tv.t, tv.suite, "Incorrect encryption", encrypted, data.ciphertext) + assertBytesEqual(tv.t, tv.suite, "Incorrect decryption", decrypted, data.plaintext) + } +} + +func verifyParameters(tv testVector, ctx context) { + assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'shared_secret'", tv.sharedSecret, ctx.setupParams.sharedSecret) + assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'enc'", tv.enc, ctx.setupParams.enc) + assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'key_schedule_context'", tv.keyScheduleContext, ctx.contextParams.keyScheduleContext) + assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'secret'", tv.secret, ctx.contextParams.secret) + assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'key'", tv.key, ctx.Key) + assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'nonce'", tv.nonce, ctx.Nonce) + assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'exporter_secret'", tv.exporterSecret, ctx.ExporterSecret) +} + +func verifyPublicKeysEqual(tv testVector, pkX, pkY KEMPublicKey) { + pkXm := mustSerializePub(tv.suite, pkX) + pkYm := mustSerializePub(tv.suite, pkY) + assertBytesEqual(tv.t, tv.suite, "Incorrect public key", []byte(pkXm), []byte(pkYm)) +} + +func verifyPrivateKeysEqual(tv testVector, skX, skY KEMPrivateKey) { + skXm := mustSerializePriv(tv.suite, skX) + skYm := mustSerializePriv(tv.suite, skY) + assertBytesEqual(tv.t, tv.suite, "Incorrect private key", []byte(skXm), []byte(skYm)) +} + +func verifyTestVector(tv testVector) { + setup := setupModes[tv.mode] + + skR, pkR, err := tv.suite.KEM.DeriveKeyPair(tv.seedR) + assertNotError(tv.t, tv.suite, "Error in DeriveKeyPair", err) + verifyPublicKeysEqual(tv, tv.pkR, pkR) + verifyPrivateKeysEqual(tv, tv.skR, skR) + + skE, pkE, err := tv.suite.KEM.DeriveKeyPair(tv.seedE) + assertNotError(tv.t, tv.suite, "Error in DeriveKeyPair", err) + verifyPublicKeysEqual(tv, tv.pkE, pkE) + verifyPrivateKeysEqual(tv, tv.skE, skE) + + tv.suite.KEM.setEphemeralKeyPair(skE) + + var pkS KEMPublicKey + var skS KEMPrivateKey + if setup.Mode == modeAuth || setup.Mode == modeAuthPSK { + skS, pkS, err = tv.suite.KEM.DeriveKeyPair(tv.seedS) + assertNotError(tv.t, tv.suite, "Error in DeriveKeyPair", err) + verifyPublicKeysEqual(tv, tv.pkS, pkS) + verifyPrivateKeysEqual(tv, tv.skS, skS) + } + + enc, ctxI, err := setup.I(tv.suite, pkR, tv.info, skS, tv.psk, tv.psk_id) + assertNotError(tv.t, tv.suite, "Error in SetupI", err) + assertBytesEqual(tv.t, tv.suite, "Encapsulated key mismatch", enc, tv.enc) + + ctxR, err := setup.R(tv.suite, skR, tv.enc, tv.info, pkS, tv.psk, tv.psk_id) + assertNotError(tv.t, tv.suite, "Error in SetupR", err) + + verifyParameters(tv, ctxI.context) + verifyParameters(tv, ctxR.context) + + verifyEncryptions(tv, ctxI, ctxR) +} + +func vectorTest(vector testVector) func(t *testing.T) { + return func(t *testing.T) { + verifyTestVector(vector) + } +} + +func verifyTestVectors(t *testing.T, vectorString []byte, subtest bool) { + vectors := testVectorArray{t: t} + err := json.Unmarshal(vectorString, &vectors) + if err != nil { + t.Fatalf("Error decoding test vector string: %v", err) + } + + for _, tv := range vectors.vectors { + test := vectorTest(tv) + if !subtest { + test(t) + } else { + label := fmt.Sprintf("kem=%04x/kdf=%04x/aead=%04x/mode=%02x", tv.kem_id, tv.kdf_id, tv.aead_id, tv.mode) + t.Run(label, test) + } + } +} + +func generateEncryptions(t *testing.T, suite CipherSuite, ctxI *EncryptContext, ctxR *DecryptContext) ([]encryptionTestVector, error) { + vectors := make([]encryptionTestVector, testVectorEncryptionCount) + for i := 0; i < len(vectors); i++ { + aad := []byte(fmt.Sprintf("Count-%d", i)) + encrypted := ctxI.Seal(aad, original) + decrypted, err := ctxR.Open(aad, encrypted) + assertNotError(t, suite, "Decryption failure", err) + assertBytesEqual(t, suite, "Incorrect decryption", original, decrypted) + + vectors[i] = encryptionTestVector{ + plaintext: original, + aad: aad, + nonce: ctxI.nonces[i], + ciphertext: encrypted, + } + } + + return vectors, nil +} + +func generateExports(t *testing.T, suite CipherSuite, ctxI *EncryptContext, ctxR *DecryptContext) ([]exporterTestVector, error) { + vectors := make([]exporterTestVector, testVectorExportCount) + for i := 0; i < len(vectors); i++ { + context := []byte(fmt.Sprintf("Context-%d", i)) + exportI := ctxI.Export(context, testVectorExportLength) + exportR := ctxR.Export(context, testVectorExportLength) + assertBytesEqual(t, suite, "Incorrect export", exportI, exportR) + vectors[i] = exporterTestVector{ + exportContext: context, + exportLength: testVectorExportLength, + exportValue: exportI, + } + } + + return vectors, nil +} + +func generateTestVector(t *testing.T, setup setupMode, kem_id KEMID, kdf_id KDFID, aead_id AEADID) testVector { + suite, err := AssembleCipherSuite(kem_id, kdf_id, aead_id) + if err != nil { + t.Fatalf("[%x, %x, %x] Error looking up ciphersuite: %s", kem_id, kdf_id, aead_id, err) + } + + skR, pkR, seedR := mustGenerateKeyPair(t, suite) + skE, pkE, seedE := mustGenerateKeyPair(t, suite) + + // The sender key share is only required for Auth mode variants. + var pkS KEMPublicKey + var skS KEMPrivateKey + var seedS []byte + if setup.Mode == modeAuth || setup.Mode == modeAuthPSK { + skS, pkS, seedS = mustGenerateKeyPair(t, suite) + } + + // A PSK is only required for PSK mode variants. + var psk []byte + var psk_id []byte + if setup.Mode == modePSK || setup.Mode == modeAuthPSK { + psk = fixedPSK + psk_id = fixedPSKID + } + + suite.KEM.setEphemeralKeyPair(skE) + + enc, ctxI, err := setup.I(suite, pkR, info, skS, psk, psk_id) + assertNotError(t, suite, "Error in SetupPSKS", err) + + ctxR, err := setup.R(suite, skR, enc, info, pkS, psk, psk_id) + assertNotError(t, suite, "Error in SetupPSKR", err) + + encryptionVectors, err := generateEncryptions(t, suite, ctxI, ctxR) + assertNotError(t, suite, "Error in generateEncryptions", err) + + exportVectors, err := generateExports(t, suite, ctxI, ctxR) + assertNotError(t, suite, "Error in generateExports", err) + + vector := testVector{ + t: t, + suite: suite, + mode: setup.Mode, + kem_id: kem_id, + kdf_id: kdf_id, + aead_id: aead_id, + info: info, + skR: skR, + pkR: pkR, + skS: skS, + pkS: pkS, + skE: skE, + pkE: pkE, + seedR: seedR, + seedS: seedS, + seedE: seedE, + psk: psk, + psk_id: psk_id, + enc: ctxI.setupParams.enc, + sharedSecret: ctxI.setupParams.sharedSecret, + keyScheduleContext: ctxI.contextParams.keyScheduleContext, + secret: ctxI.contextParams.secret, + key: ctxI.Key, + nonce: ctxI.Nonce, + exporterSecret: ctxI.ExporterSecret, + encryptions: encryptionVectors, + exports: exportVectors, + } + + return vector +} + +func TestVectorGenerate(t *testing.T) { + // We only generate test vectors for select ciphersuites + supportedKEMs := []KEMID{DHKEM_X25519, DHKEM_P256, DHKEM_P521} + supportedKDFs := []KDFID{KDF_HKDF_SHA256, KDF_HKDF_SHA512} + supportedAEADs := []AEADID{AEAD_AESGCM128, AEAD_AESGCM256, AEAD_CHACHA20POLY1305} + + vectors := make([]testVector, 0) + for _, kem_id := range supportedKEMs { + for _, kdf_id := range supportedKDFs { + for _, aead_id := range supportedAEADs { + for _, setup := range setupModes { + vectors = append(vectors, generateTestVector(t, setup, kem_id, kdf_id, aead_id)) + } + } + } + } + + // Encode the test vectors + encoded, err := json.Marshal(vectors) + if err != nil { + t.Fatalf("Error producing test vectors: %v", err) + } + + // Verify that we process them correctly + verifyTestVectors(t, encoded, false) + + // Write them to a file if requested + var outputFile string + if outputFile = os.Getenv(outputTestVectorEnvironmentKey); len(outputFile) > 0 { + err = ioutil.WriteFile(outputFile, encoded, 0644) + if err != nil { + t.Fatalf("Error writing test vectors: %v", err) + } + } +} + +func TestVectorVerify(t *testing.T) { + var inputFile string + if inputFile = os.Getenv(inputTestVectorEnvironmentKey); len(inputFile) == 0 { + t.Skip("Test vectors were not provided") + } + + encoded, err := ioutil.ReadFile(inputFile) + if err != nil { + t.Fatalf("Failed reading test vectors: %v", err) + } + + verifyTestVectors(t, encoded, true) +} diff --git a/src/crypto/tls/internal/hpke/test-vectors.json b/src/crypto/tls/internal/hpke/test-vectors.json new file mode 100644 index 00000000000..d12ce457384 --- /dev/null +++ b/src/crypto/tls/internal/hpke/test-vectors.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/src/crypto/tls/internal/syntax/LICENSE b/src/crypto/tls/internal/syntax/LICENSE new file mode 100644 index 00000000000..a6995a82faa --- /dev/null +++ b/src/crypto/tls/internal/syntax/LICENSE @@ -0,0 +1,25 @@ +BSD 2-Clause License + +Copyright (c) 2020, Cisco Systems +All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + +1. Redistributions of source code must retain the above copyright notice, this + list of conditions and the following disclaimer. + +2. Redistributions in binary form must reproduce the above copyright notice, + this list of conditions and the following disclaimer in the documentation + and/or other materials provided with the distribution. + +THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" +AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE +DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE +FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL +DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR +SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, +OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE +OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/crypto/tls/internal/syntax/README.md b/src/crypto/tls/internal/syntax/README.md new file mode 100644 index 00000000000..3c8db185a37 --- /dev/null +++ b/src/crypto/tls/internal/syntax/README.md @@ -0,0 +1,3 @@ +This package is copied from [here](https://github.com/cisco/go-tls-syntax). + +TODO(cjpatton): Remove this package once HPKE is implemented in CIRCL. diff --git a/src/crypto/tls/internal/syntax/decode.go b/src/crypto/tls/internal/syntax/decode.go new file mode 100644 index 00000000000..f2e3d6b2a9e --- /dev/null +++ b/src/crypto/tls/internal/syntax/decode.go @@ -0,0 +1,456 @@ +package syntax + +import ( + "bytes" + "fmt" + "reflect" + "runtime" + "sync" +) + +func Unmarshal(data []byte, v interface{}) (int, error) { + // Check for well-formedness. + // Avoids filling out half a data structure + // before discovering a JSON syntax error. + d := decodeState{} + d.Write(data) + return d.unmarshal(v) +} + +// Unmarshaler is the interface implemented by types that can +// unmarshal a TLS description of themselves. Note that unlike the +// JSON unmarshaler interface, it is not known a priori how much of +// the input data will be consumed. So the Unmarshaler must state +// how much of the input data it consumed. +type Unmarshaler interface { + UnmarshalTLS([]byte) (int, error) +} + +type decodeState struct { + bytes.Buffer +} + +func (d *decodeState) unmarshal(v interface{}) (read int, err error) { + defer func() { + if r := recover(); r != nil { + if _, ok := r.(runtime.Error); ok { + panic(r) + } + if s, ok := r.(string); ok { + panic(s) + } + err = r.(error) + } + }() + + rv := reflect.ValueOf(v) + if rv.Kind() != reflect.Ptr || rv.IsNil() { + return 0, fmt.Errorf("Invalid unmarshal target (non-pointer or nil)") + } + + read = d.value(rv) + return read, nil +} + +func (e *decodeState) value(v reflect.Value) int { + return valueDecoder(v)(e, v, fieldOptions{}) +} + +type decoderFunc func(e *decodeState, v reflect.Value, opts fieldOptions) int + +func valueDecoder(v reflect.Value) decoderFunc { + return typeDecoder(v.Type().Elem()) +} + +var decoderCache sync.Map // map[reflect.Type]decoderFunc + +func typeDecoder(t reflect.Type) decoderFunc { + if fi, ok := decoderCache.Load(t); ok { + return fi.(decoderFunc) + } + + // XXX(RLB): Wait group based support for recursive types omitted + + // Compute the real decoder and replace the indirect func with it. + f := newTypeDecoder(t) + decoderCache.Store(t, f) + return f +} + +var ( + unmarshalerType = reflect.TypeOf(new(Unmarshaler)).Elem() + uint8Type = reflect.TypeOf(uint8(0)) +) + +func newTypeDecoder(t reflect.Type) decoderFunc { + var dec decoderFunc + if t.Kind() != reflect.Ptr && reflect.PtrTo(t).Implements(unmarshalerType) { + dec = unmarshalerDecoder + } else { + switch t.Kind() { + case reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64: + dec = uintDecoder + case reflect.Array: + dec = newArrayDecoder(t) + case reflect.Slice: + dec = newSliceDecoder(t) + case reflect.Map: + dec = newMapDecoder(t) + case reflect.Struct: + dec = newStructDecoder(t) + case reflect.Ptr: + dec = newPointerDecoder(t) + default: + panic(fmt.Errorf("Unsupported type (%s)", t)) + } + } + + if reflect.PtrTo(t).Implements(validatorType) { + dec = newValidatorDecoder(dec) + } + + return dec +} + +///// Specific decoders below + +func omitDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { + return 0 +} + +////////// + +func unmarshalerDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { + um, ok := v.Interface().(Unmarshaler) + if !ok { + panic(fmt.Errorf("Non-Unmarshaler passed to unmarshalerEncoder")) + } + + read, err := um.UnmarshalTLS(d.Bytes()) + if err != nil { + panic(err) + } + + if read > d.Len() { + panic(fmt.Errorf("Invalid return value from UnmarshalTLS")) + } + + d.Next(read) + return read +} + +////////// + +func newValidatorDecoder(raw decoderFunc) decoderFunc { + return func(d *decodeState, v reflect.Value, opts fieldOptions) int { + read := raw(d, v, opts) + + val, ok := v.Interface().(Validator) + if !ok { + panic(fmt.Errorf("Non-Validator passed to validatorDecoder")) + } + + if err := val.ValidForTLS(); err != nil { + panic(fmt.Errorf("Decoded invalid TLS value: %v", err)) + } + + return read + } +} + +////////// + +func uintDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { + if opts.varint { + return varintDecoder(d, v, opts) + } + + uintLen := int(v.Elem().Type().Size()) + buf := d.Next(uintLen) + if len(buf) != uintLen { + panic(fmt.Errorf("Insufficient data to read uint")) + } + + return setUintFromBuffer(v, buf) +} + +func varintDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { + l, val := readVarint(d) + + uintLen := int(v.Elem().Type().Size()) + if uintLen < l { + panic(fmt.Errorf("Uint too small to fit varint: %d < %d", uintLen, l)) + } + + v.Elem().SetUint(val) + + return l +} + +func readVarint(d *decodeState) (int, uint64) { + // Read the first octet and decide the size of the presented varint + first := d.Next(1) + if len(first) != 1 { + panic(fmt.Errorf("Insufficient data to read varint length")) + } + + twoBits := uint(first[0] >> 6) + varintLen := 1 << twoBits + + rest := d.Next(varintLen - 1) + if len(rest) != varintLen-1 { + panic(fmt.Errorf("Insufficient data to read varint")) + } + + buf := append(first, rest...) + buf[0] &= 0x3f + + return len(buf), decodeUintFromBuffer(buf) +} + +func decodeUintFromBuffer(buf []byte) uint64 { + val := uint64(0) + for _, b := range buf { + val = (val << 8) + uint64(b) + } + + return val +} + +func setUintFromBuffer(v reflect.Value, buf []byte) int { + v.Elem().SetUint(decodeUintFromBuffer(buf)) + return len(buf) +} + +////////// + +type arrayDecoder struct { + elemDec decoderFunc +} + +func (ad *arrayDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { + n := v.Elem().Type().Len() + read := 0 + for i := 0; i < n; i += 1 { + read += ad.elemDec(d, v.Elem().Index(i).Addr(), opts) + } + return read +} + +func newArrayDecoder(t reflect.Type) decoderFunc { + dec := &arrayDecoder{typeDecoder(t.Elem())} + return dec.decode +} + +////////// + +func decodeLength(d *decodeState, opts fieldOptions) (int, int) { + read := 0 + length := 0 + switch { + case opts.omitHeader: + read = 0 + length = d.Len() + + case opts.varintHeader: + var length64 uint64 + read, length64 = readVarint(d) + length = int(length64) + + case opts.headerSize > 0: + lengthBytes := d.Next(int(opts.headerSize)) + if len(lengthBytes) != int(opts.headerSize) { + panic(fmt.Errorf("Not enough data to read header")) + } + read = len(lengthBytes) + length = int(decodeUintFromBuffer(lengthBytes)) + + default: + panic(fmt.Errorf("Cannot decode a slice without a header length")) + } + + // Check that the length is OK + if opts.maxSize > 0 && length > opts.maxSize { + panic(fmt.Errorf("Length of vector exceeds declared max")) + } + if length < opts.minSize { + panic(fmt.Errorf("Length of vector below declared min")) + } + + return read, length +} + +////////// + +type sliceDecoder struct { + elementType reflect.Type + elementDec decoderFunc +} + +func (sd *sliceDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { + // Determine the length of the vector + read, length := decodeLength(d, opts) + + // Decode elements + elemData := d.Next(length) + if len(elemData) != length { + panic(fmt.Errorf("Not enough data to read elements")) + } + + // For opaque values, we can return a reference instead of making a new slice + if v.Elem().Type().Elem() == uint8Type { + v.Elem().Set(reflect.ValueOf(elemData)) + return read + length + } + + // For other values, we need to decode the raw data + elemBuf := &decodeState{} + elemBuf.Write(elemData) + elems := []reflect.Value{} + for elemBuf.Len() > 0 { + elem := reflect.New(sd.elementType) + read += sd.elementDec(elemBuf, elem, opts) + elems = append(elems, elem) + } + + v.Elem().Set(reflect.MakeSlice(v.Elem().Type(), len(elems), len(elems))) + for i := 0; i < len(elems); i += 1 { + v.Elem().Index(i).Set(elems[i].Elem()) + } + return read +} + +func newSliceDecoder(t reflect.Type) decoderFunc { + dec := &sliceDecoder{ + elementType: t.Elem(), + elementDec: typeDecoder(t.Elem()), + } + return dec.decode +} + +////////// + +type mapDecoder struct { + keyType reflect.Type + valType reflect.Type + keyDec decoderFunc + valDec decoderFunc +} + +func (md mapDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { + // Determine the length of the data + read, length := decodeLength(d, opts) + + // Decode key/value pairs + elemData := d.Next(length) + if len(elemData) != length { + panic(fmt.Errorf("Not enough data to read elements")) + } + + mapType := reflect.MapOf(md.keyType, md.valType) + v.Elem().Set(reflect.MakeMap(mapType)) + + nullOpts := fieldOptions{} + elemBuf := &decodeState{} + elemBuf.Write(elemData) + for elemBuf.Len() > 0 { + key := reflect.New(md.keyType) + read += md.keyDec(elemBuf, key, nullOpts) + + val := reflect.New(md.valType) + read += md.valDec(elemBuf, val, nullOpts) + + v.Elem().SetMapIndex(key.Elem(), val.Elem()) + } + + return read +} + +func newMapDecoder(t reflect.Type) decoderFunc { + md := mapDecoder{ + keyType: t.Key(), + valType: t.Elem(), + keyDec: typeDecoder(t.Key()), + valDec: typeDecoder(t.Elem()), + } + + return md.decode +} + +////////// + +type structDecoder struct { + fieldOpts []fieldOptions + fieldDecs []decoderFunc +} + +func (sd *structDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { + read := 0 + for i := range sd.fieldDecs { + read += sd.fieldDecs[i](d, v.Elem().Field(i).Addr(), sd.fieldOpts[i]) + } + return read +} + +func newStructDecoder(t reflect.Type) decoderFunc { + n := t.NumField() + sd := structDecoder{ + fieldOpts: make([]fieldOptions, n), + fieldDecs: make([]decoderFunc, n), + } + + for i := 0; i < n; i += 1 { + f := t.Field(i) + + tag := f.Tag.Get("tls") + opts := parseTag(tag) + + if !opts.ValidForType(f.Type) { + panic(fmt.Errorf("Tags invalid for field type")) + } + + sd.fieldOpts[i] = opts + if sd.fieldOpts[i].omit { + sd.fieldDecs[i] = omitDecoder + } else { + sd.fieldDecs[i] = typeDecoder(f.Type) + } + } + + return sd.decode +} + +////////// + +type pointerDecoder struct { + base decoderFunc +} + +func (pd *pointerDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { + readBase := 0 + if opts.optional { + readBase = 1 + flag := d.Next(1) + switch flag[0] { + case optionalFlagAbsent: + indir := v.Elem() + indir.Set(reflect.Zero(indir.Type())) + return 1 + + case optionalFlagPresent: + // No action; continue as normal + + default: + panic(fmt.Errorf("Invalid flag byte for optional: [%x]", flag)) + } + } + + v.Elem().Set(reflect.New(v.Elem().Type().Elem())) + return readBase + pd.base(d, v.Elem(), opts) +} + +func newPointerDecoder(t reflect.Type) decoderFunc { + baseDecoder := typeDecoder(t.Elem()) + pd := pointerDecoder{base: baseDecoder} + return pd.decode +} diff --git a/src/crypto/tls/internal/syntax/encode.go b/src/crypto/tls/internal/syntax/encode.go new file mode 100644 index 00000000000..3bc507fbe09 --- /dev/null +++ b/src/crypto/tls/internal/syntax/encode.go @@ -0,0 +1,411 @@ +package syntax + +import ( + "bytes" + "fmt" + "reflect" + "runtime" + "sort" + "sync" +) + +func Marshal(v interface{}) ([]byte, error) { + e := &encodeState{} + err := e.marshal(v, fieldOptions{}) + if err != nil { + return nil, err + } + return e.Bytes(), nil +} + +// Marshaler is the interface implemented by types that +// have a defined TLS encoding. +type Marshaler interface { + MarshalTLS() ([]byte, error) +} + +type encodeState struct { + bytes.Buffer +} + +func (e *encodeState) marshal(v interface{}, opts fieldOptions) (err error) { + defer func() { + if r := recover(); r != nil { + if _, ok := r.(runtime.Error); ok { + panic(r) + } + if s, ok := r.(string); ok { + panic(s) + } + err = r.(error) + } + }() + e.reflectValue(reflect.ValueOf(v), opts) + return nil +} + +func (e *encodeState) reflectValue(v reflect.Value, opts fieldOptions) { + valueEncoder(v)(e, v, opts) +} + +type encoderFunc func(e *encodeState, v reflect.Value, opts fieldOptions) + +func valueEncoder(v reflect.Value) encoderFunc { + if !v.IsValid() { + panic(fmt.Errorf("Cannot encode an invalid value")) + } + return typeEncoder(v.Type()) +} + +var encoderCache sync.Map // map[reflect.Type]encoderFunc + +func typeEncoder(t reflect.Type) encoderFunc { + if fi, ok := encoderCache.Load(t); ok { + return fi.(encoderFunc) + } + + // XXX(RLB): Wait group based support for recursive types omitted + + // Compute the real encoder and replace the indirect func with it. + f := newTypeEncoder(t) + encoderCache.Store(t, f) + return f +} + +var ( + marshalerType = reflect.TypeOf(new(Marshaler)).Elem() +) + +func newTypeEncoder(t reflect.Type) encoderFunc { + var enc encoderFunc + if t.Implements(marshalerType) { + enc = marshalerEncoder + } else { + switch t.Kind() { + case reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64: + enc = uintEncoder + case reflect.Array: + enc = newArrayEncoder(t) + case reflect.Slice: + enc = newSliceEncoder(t) + case reflect.Struct: + enc = newStructEncoder(t) + case reflect.Map: + enc = newMapEncoder(t) + case reflect.Ptr: + enc = newPointerEncoder(t) + default: + panic(fmt.Errorf("Unsupported type (%s)", t)) + } + } + + if t.Implements(validatorType) { + enc = newValidatorEncoder(enc) + } + + return enc +} + +///// Specific encoders below + +func omitEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { + // This space intentionally left blank +} + +////////// + +func marshalerEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { + if v.Kind() == reflect.Ptr && v.IsNil() && !opts.optional { + panic(fmt.Errorf("Cannot encode nil pointer")) + } + + if v.Kind() == reflect.Ptr && opts.optional { + if v.IsNil() { + writeUint(e, uint64(optionalFlagAbsent), 1) + return + } + + writeUint(e, uint64(optionalFlagPresent), 1) + } + + m, ok := v.Interface().(Marshaler) + if !ok { + panic(fmt.Errorf("Non-Marshaler passed to marshalerEncoder")) + } + + b, err := m.MarshalTLS() + if err == nil { + _, err = e.Write(b) + } + + if err != nil { + panic(err) + } +} + +////////// + +func newValidatorEncoder(raw encoderFunc) encoderFunc { + return func(e *encodeState, v reflect.Value, opts fieldOptions) { + if v.Kind() == reflect.Ptr && v.IsNil() { + // Cannot validate nil values; just pass through to encoder + raw(e, v, opts) + return + } + + val, ok := v.Interface().(Validator) + if !ok { + panic(fmt.Errorf("Non-Validator passed to validatorEncoder")) + } + + if err := val.ValidForTLS(); err != nil { + panic(fmt.Errorf("Invalid TLS value: %v", err)) + } + + raw(e, v, opts) + } +} + +////////// + +func uintEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { + if opts.varint { + varintEncoder(e, v, opts) + return + } + + writeUint(e, v.Uint(), int(v.Type().Size())) +} + +func varintEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { + writeVarint(e, v.Uint()) +} + +func writeVarint(e *encodeState, u uint64) { + if (u >> 62) > 0 { + panic(fmt.Errorf("uint value is too big for varint")) + } + + var varintLen int + for _, len := range []uint{1, 2, 4, 8} { + if u < (uint64(1) << (8*len - 2)) { + varintLen = int(len) + break + } + } + + twoBits := map[int]uint64{1: 0x00, 2: 0x01, 4: 0x02, 8: 0x03}[varintLen] + shift := uint(8*varintLen - 2) + writeUint(e, u|(twoBits<> uint(8*(len-i-1)))) + } +} + +////////// + +type arrayEncoder struct { + elemEnc encoderFunc +} + +func (ae *arrayEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { + n := v.Len() + for i := 0; i < n; i += 1 { + ae.elemEnc(e, v.Index(i), opts) + } +} + +func newArrayEncoder(t reflect.Type) encoderFunc { + enc := &arrayEncoder{typeEncoder(t.Elem())} + return enc.encode +} + +////////// + +func encodeLength(e *encodeState, n int, opts fieldOptions) { + if opts.maxSize > 0 && n > opts.maxSize { + panic(fmt.Errorf("Encoded length more than max [%d > %d]", n, opts.maxSize)) + } + if n < opts.minSize { + panic(fmt.Errorf("Encoded length less than min [%d < %d]", n, opts.minSize)) + } + + switch { + case opts.omitHeader: + // None. + + case opts.varintHeader: + writeVarint(e, uint64(n)) + + case opts.headerSize > 0: + if n>>uint(8*opts.headerSize) > 0 { + panic(fmt.Errorf("Encoded length too long for header length [%d, %d]", n, opts.headerSize)) + } + + writeUint(e, uint64(n), int(opts.headerSize)) + + default: + panic(fmt.Errorf("Cannot encode a slice without a header length")) + } +} + +////////// + +type sliceEncoder struct { + ae *arrayEncoder +} + +func (se *sliceEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { + arrayState := &encodeState{} + se.ae.encode(arrayState, v, opts) + + encodeLength(e, arrayState.Len(), opts) + e.Write(arrayState.Bytes()) +} + +func newSliceEncoder(t reflect.Type) encoderFunc { + enc := &sliceEncoder{&arrayEncoder{typeEncoder(t.Elem())}} + return enc.encode +} + +////////// + +type structEncoder struct { + fieldOpts []fieldOptions + fieldEncs []encoderFunc +} + +func (se *structEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { + for i := range se.fieldEncs { + se.fieldEncs[i](e, v.Field(i), se.fieldOpts[i]) + } +} + +func newStructEncoder(t reflect.Type) encoderFunc { + n := t.NumField() + se := structEncoder{ + fieldOpts: make([]fieldOptions, n), + fieldEncs: make([]encoderFunc, n), + } + + for i := 0; i < n; i += 1 { + f := t.Field(i) + tag := f.Tag.Get("tls") + opts := parseTag(tag) + + if !opts.ValidForType(f.Type) { + panic(fmt.Errorf("Tags invalid for field type")) + } + + se.fieldOpts[i] = opts + if opts.omit { + se.fieldEncs[i] = omitEncoder + } else { + se.fieldEncs[i] = typeEncoder(f.Type) + } + } + + return se.encode +} + +////////// + +type mapEncoder struct { + keyEnc encoderFunc + valEnc encoderFunc +} + +type encMap struct { + keyEncs [][]byte + valEncs [][]byte +} + +func (em encMap) Len() int { return len(em.keyEncs) } + +func (em *encMap) Swap(i, j int) { + em.keyEncs[i], em.keyEncs[j] = em.keyEncs[j], em.keyEncs[i] + em.valEncs[i], em.valEncs[j] = em.valEncs[j], em.valEncs[i] +} + +func (em encMap) Less(i, j int) bool { + return bytes.Compare(em.keyEncs[i], em.keyEncs[j]) < 0 +} + +func (em encMap) Size() int { + size := 0 + for i := range em.keyEncs { + size += len(em.keyEncs[i]) + len(em.valEncs[i]) + } + return size +} + +func (em encMap) Encode(e *encodeState) { + for i := range em.keyEncs { + e.Write(em.keyEncs[i]) + e.Write(em.valEncs[i]) + } +} + +func (me *mapEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { + enc := &encMap{ + keyEncs: make([][]byte, v.Len()), + valEncs: make([][]byte, v.Len()), + } + nullOpts := fieldOptions{} + it := v.MapRange() + for i := 0; i < enc.Len() && it.Next(); i++ { + keyState := &encodeState{} + me.keyEnc(keyState, it.Key(), nullOpts) + enc.keyEncs[i] = keyState.Bytes() + + valState := &encodeState{} + me.valEnc(valState, it.Value(), nullOpts) + enc.valEncs[i] = valState.Bytes() + } + + sort.Sort(enc) + + encodeLength(e, enc.Size(), opts) + enc.Encode(e) +} + +func newMapEncoder(t reflect.Type) encoderFunc { + me := mapEncoder{ + keyEnc: typeEncoder(t.Key()), + valEnc: typeEncoder(t.Elem()), + } + + return me.encode +} + +////////// + +type pointerEncoder struct { + base encoderFunc +} + +func (pe pointerEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { + if v.IsNil() && !opts.optional { + panic(fmt.Errorf("Cannot encode nil pointer")) + } + + if opts.optional { + if v.IsNil() { + writeUint(e, uint64(optionalFlagAbsent), 1) + return + } + + writeUint(e, uint64(optionalFlagPresent), 1) + } + + pe.base(e, v.Elem(), opts) +} + +func newPointerEncoder(t reflect.Type) encoderFunc { + baseEncoder := typeEncoder(t.Elem()) + pe := pointerEncoder{base: baseEncoder} + return pe.encode +} diff --git a/src/crypto/tls/internal/syntax/stream.go b/src/crypto/tls/internal/syntax/stream.go new file mode 100644 index 00000000000..322f3490648 --- /dev/null +++ b/src/crypto/tls/internal/syntax/stream.go @@ -0,0 +1,76 @@ +package syntax + +/// +/// Write Stream +/// + +type WriteStream struct { + buffer []byte +} + +func NewWriteStream() *WriteStream { + return &WriteStream{} +} + +func (s *WriteStream) Data() []byte { + return s.buffer +} + +func (s *WriteStream) Write(val interface{}) error { + enc, err := Marshal(val) + if err != nil { + return err + } + s.buffer = append(s.buffer, enc...) + return nil +} + +func (s *WriteStream) WriteAll(vals ...interface{}) error { + for _, val := range vals { + err := s.Write(val) + if err != nil { + return err + } + } + return nil +} + +/// +/// ReadStream +/// + +type ReadStream struct { + buffer []byte + cursor int +} + +func NewReadStream(data []byte) *ReadStream { + return &ReadStream{data, 0} +} + +func (s *ReadStream) Read(val interface{}) (int, error) { + read, err := Unmarshal(s.buffer[s.cursor:], val) + if err != nil { + return 0, err + } + + s.cursor += read + return read, nil +} + +func (s *ReadStream) ReadAll(vals ...interface{}) (int, error) { + read := 0 + for _, val := range vals { + readHere, err := s.Read(val) + if err != nil { + return 0, err + } + + read += readHere + } + return read, nil +} + +func (s *ReadStream) Position() int { + return s.cursor +} diff --git a/src/crypto/tls/internal/syntax/tags.go b/src/crypto/tls/internal/syntax/tags.go new file mode 100644 index 00000000000..7734eea98c5 --- /dev/null +++ b/src/crypto/tls/internal/syntax/tags.go @@ -0,0 +1,173 @@ +package syntax + +import ( + "fmt" + "reflect" + "strconv" + "strings" +) + +// Allow types to mark themselves as valid for TLS to marshal/unmarshal +type Validator interface { + ValidForTLS() error +} + +var ( + validatorType = reflect.TypeOf(new(Validator)).Elem() +) + +// `tls:"head=2,min=2,max=255,varint"` + +type fieldOptions struct { + omitHeader bool // whether to omit the slice header + varintHeader bool // whether to encode the header length as a varint + headerSize int // length of length in bytes + minSize int // minimum vector size in bytes + maxSize int // maximum vector size in bytes + + varint bool // whether to encode as a varint + optional bool // whether to encode pointer as optional + omit bool // whether to skip a field +} + +func mutuallyExclusive(vals []bool) bool { + set := 0 + for _, val := range vals { + if val { + set += 1 + } + } + return set <= 1 +} + +func (opts fieldOptions) Consistent() bool { + // No more than one of the header options must be set + headerPaths := []bool{opts.omitHeader, opts.varintHeader, opts.headerSize > 1} + if !mutuallyExclusive(headerPaths) { + return false + } + + // Max must be greater than min + if opts.maxSize > 0 && opts.minSize > opts.maxSize { + return false + } + + // varint and optional are mutually exclusive with each other, and with the slice options + headerOpts := (opts.omitHeader || opts.varintHeader || opts.headerSize > 1 || opts.maxSize > 0 || opts.minSize > 0) + encodePaths := []bool{headerOpts, opts.varint, opts.optional} + if !mutuallyExclusive(encodePaths) { + return false + } + + // Omit is mutually exclusive with everything else + otherThanOmit := (headerOpts || opts.varint || opts.optional) + if !mutuallyExclusive([]bool{opts.omit, otherThanOmit}) { + return false + } + + return true +} + +func (opts fieldOptions) ValidForType(t reflect.Type) bool { + headerType := t.Kind() == reflect.Slice || t.Kind() == reflect.Map + headerTags := opts.omitHeader || opts.varintHeader || (opts.headerSize != 0) || + (opts.minSize != 0) || (opts.maxSize != 0) + if headerTags && !headerType { + return false + } + + uintRequired := opts.varint + if uintRequired { + switch t.Kind() { + case reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64: + default: + return false + } + } + + ptrRequired := opts.optional + if ptrRequired && t.Kind() != reflect.Ptr { + return false + } + + return true +} + +var ( + varintOption = "varint" + optionalOption = "optional" + omitOption = "omit" + + headOptionNone = "none" + headOptionVarint = "varint" + headValueNoHead = uint(255) + headValueVarint = uint(254) + + optionalFlagAbsent uint8 = 0 + optionalFlagPresent uint8 = 1 +) + +func atoi(a string) int { + i, err := strconv.Atoi(a) + if err != nil { + panic(fmt.Errorf("Invalid header size: %v", err)) + } + return i +} + +// parseTag parses a struct field's "tls" tag as a comma-separated list of +// name=value pairs, where the values MUST be unsigned integers, or in +// the special case of head, "none" or "varint" +func parseTag(tag string) fieldOptions { + opts := fieldOptions{} + for _, token := range strings.Split(tag, ",") { + parts := strings.Split(token, "=") + + // Handle name-only entries + if len(parts) == 1 { + switch parts[0] { + case varintOption: + opts.varint = true + case optionalOption: + opts.optional = true + case omitOption: + opts.omit = true + default: + // XXX(rlb): Ignoring unknown fields + } + continue + } + + if len(parts) != 2 || len(parts[0]) == 0 || len(parts[1]) == 0 { + panic(fmt.Errorf("Malformed tag")) + } + + // Handle name=value entries + switch parts[0] { + case "head": + switch { + case parts[1] == headOptionNone: + opts.omitHeader = true + case parts[1] == headOptionVarint: + opts.varintHeader = true + default: + opts.headerSize = atoi(parts[1]) + } + + case "min": + opts.minSize = atoi(parts[1]) + + case "max": + opts.maxSize = atoi(parts[1]) + + default: + // XXX(rlb): Ignoring unknown fields + } + } + + if !opts.Consistent() { + panic(fmt.Errorf("Inconsistent options")) + } + + return opts +} diff --git a/src/crypto/tls/tls.go b/src/crypto/tls/tls.go index ff812b811bf..27e1cf925cc 100644 --- a/src/crypto/tls/tls.go +++ b/src/crypto/tls/tls.go @@ -4,8 +4,41 @@ // Package tls partially implements TLS 1.2, as specified in RFC 5246, // and TLS 1.3, as specified in RFC 8446. +// +// This package implements the "Encrypted ClientHello (ECH)" extension, as +// specified by draft-ietf-tls-esni-08. This extension allows the client to +// encrypt its ClientHello to the public key of an ECH-service provider, known +// as the client-facing server. If successful, then the client-facing server +// forwards the decrypted ClientHello to the intended recipient, known as the +// backend server. The goal of this mechanism is to ensure that connections made +// to backend servers are indistinguishable from one another. package tls +// BUG(cjpatton): In order to achieve its security goal, the ECH extension +// specifies various padding mechanisms to ensure that the length of handshake +// messages doesn't depend on who terminates the connection. This package does +// not yet implement client- or server-side padding. + +// BUG(cjpatton): Another goal of the ECH extension is that connections that use +// ECH should be indistinguishable from connections that provide covertext in +// the form of a "GREASE" ECH extension. This property is known informally as +// "don't stick out". Providing this property requires additional padding, which +// this package does not yet implement. + +// BUG(cjpatton): The interaction of the ECH extension interacts with PSK has +// not yet been fully vetted. For now, the server disables session tickets if +// ECH is enabled. + +// BUG(cjpatton): Upon ECH rejection, if retry configurations are provided, then +// the client is expected to retry the connection. Otherwise, it may regard ECH +// as being securely disabled by the client-facing server. The client in this +// package does not attempt to retry the handshake. + +// BUG(cjpatton): If the client offers the ECH extension and the client-facing +// server rejects it, then only the client-facing server is authenticated. In +// particular, the client is expected to responds to a CertificateRequest with +// an empty certificate. This package does not yet implement this behavior. + // BUG(agl): The crypto/tls package only implements some countermeasures // against Lucky13 attacks on CBC-mode encryption, and only on SHA1 // variants. See http://www.isg.rhul.ac.uk/tls/TLStiming.pdf and diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go index c9ed8859ebf..690e6a68dfc 100644 --- a/src/crypto/tls/tls_cf.go +++ b/src/crypto/tls/tls_cf.go @@ -45,3 +45,11 @@ func init() { SignatureScheme(cs.scheme.(circlPki.TLSScheme).TLSIdentifier())) } } + +// EXP_Event is a value emitted at various points in the handshake that is +// handled by the callback Config.EventHandler. +// +// NOTE: This API is EXPERIMENTAL and subject to change. +type EXP_Event interface { + Name() string +} diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index 9995538871e..fc95408252c 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -789,7 +789,7 @@ func TestCloneNonFuncFields(t *testing.T) { switch fn := typ.Field(i).Name; fn { case "Rand": f.Set(reflect.ValueOf(io.Reader(os.Stdin))) - case "Time", "GetCertificate", "GetConfigForClient", "VerifyPeerCertificate", "VerifyConnection", "GetClientCertificate": + case "Time", "GetCertificate", "GetConfigForClient", "VerifyPeerCertificate", "VerifyConnection", "GetClientCertificate", "ServerECHProvider", "EXP_EventHandler": // DeepEqual can't compare functions. If you add a // function field to this list, you must also change // TestCloneFuncFields to ensure that the func field is @@ -826,6 +826,10 @@ func TestCloneNonFuncFields(t *testing.T) { f.Set(reflect.ValueOf(RenegotiateOnceAsClient)) case "mutex", "autoSessionTicketKeys", "sessionTicketKeys": continue // these are unexported fields that are handled separately + case "ClientECHConfigs": + f.Set(reflect.ValueOf([]ECHConfig{ECHConfig{}})) + case "ECHEnabled": + f.Set(reflect.ValueOf(true)) default: t.Errorf("all fields must be accounted for, but saw unknown field %q", fn) } diff --git a/src/go/build/deps_test.go b/src/go/build/deps_test.go index 339217d9efb..8384933a642 100644 --- a/src/go/build/deps_test.go +++ b/src/go/build/deps_test.go @@ -418,6 +418,8 @@ var depsRules = ` < crypto/x509/internal/macos < crypto/x509/pkix < crypto/x509 + < crypto/tls/internal/syntax # TOOD(cjpatton): Remove this dependency once HPKE is implemented in CIRCL + < crypto/tls/internal/hpke # TODO(cjpatton): Remove this dependency once HPKE is implemented in CIRCL < crypto/tls; # crypto-aware packages From dfd78712be47f9e177108fd2773c7613248de74e Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Tue, 24 Nov 2020 12:15:29 -0800 Subject: [PATCH 10/69] circl: Update to ebd10dd620d197162cf0a94b823b79c711a1c717 - Update cf-copy-from-circle.py to exclude some unused packages that were breaking the build. - Fix some API changes. --- cf-copy-from-circle.py | 6 + src/circl/.github/workflows/ci-actions.yml | 2 +- .../dh/sidh/internal/p434/arith_generic.go | 2 +- .../internal/templates/arith_generic.gotemp | 2 +- src/circl/dh/sidh/sike.go | 16 +- src/circl/ecc/p384/api_test.go | 56 - src/circl/ecc/p384/arith.go | 2 +- src/circl/ecc/p384/arith_amd64.go | 2 +- src/circl/ecc/p384/arith_amd64.s | 2 +- src/circl/ecc/p384/arith_arm64.s | 2 +- src/circl/ecc/p384/arith_test.go | 2 +- src/circl/ecc/p384/opt_test.go | 78 + src/circl/ecc/p384/p384.go | 182 -- src/circl/ecc/p384/p384_generic.go | 20 + src/circl/ecc/p384/p384_test.go | 212 +- src/circl/ecc/p384/p384opt.go | 187 ++ src/circl/ecc/p384/point.go | 2 +- src/circl/ecc/p384/point_test.go | 2 +- src/circl/ecc/p384/tableBase.go | 2 +- src/circl/group/group.go | 64 + src/circl/group/group_test.go | 254 ++ src/circl/group/hash.go | 90 + src/circl/group/short.go | 335 +++ src/circl/internal/sha3/doc.go | 66 + src/circl/internal/sha3/hashes.go | 69 + src/circl/internal/{shake => sha3}/keccakf.go | 2 +- .../internal/{shake => sha3}/keccakf_amd64.go | 4 +- .../internal/{shake => sha3}/keccakf_amd64.s | 4 +- src/circl/internal/sha3/rc.go | 29 + src/circl/internal/{shake => sha3}/sha3.go | 105 +- src/circl/internal/sha3/sha3_s390x.s | 33 + src/circl/internal/sha3/sha3_test.go | 269 ++ src/circl/internal/sha3/shake.go | 79 + .../sha3/testdata/keccakKats.json.deflate | Bin 0 -> 540828 bytes src/circl/internal/sha3/xor.go | 23 + .../internal/{shake => sha3}/xor_generic.go | 14 +- .../internal/{shake => sha3}/xor_unaligned.go | 27 +- src/circl/internal/shake/LICENSE | 27 - src/circl/internal/shake/doc.go | 7 - src/circl/internal/shake/sha3_test.go | 325 --- src/circl/internal/shake/shake.go | 68 - .../shake/testdata/keccakKats.json.deflate | Bin 521342 -> 0 bytes src/circl/internal/test/test.go | 6 +- src/circl/kem/kem.go | 23 +- src/circl/kem/kyber/doc.go | 4 +- src/circl/kem/kyber/kat_test.go | 23 +- src/circl/kem/kyber/kyber1024/kyber.go | 33 +- src/circl/kem/kyber/kyber512/kyber.go | 33 +- src/circl/kem/kyber/kyber768/kyber.go | 33 +- src/circl/kem/kyber/templates/pkg.templ.go | 33 +- src/circl/kem/schemes/schemes.go | 12 +- src/circl/kem/schemes/schemes_test.go | 50 +- src/circl/kem/sike/doc.go | 4 + src/circl/kem/sike/gen.go | 68 + src/circl/kem/sike/sikep434/sike.go | 189 ++ src/circl/kem/sike/sikep503/sike.go | 189 ++ src/circl/kem/sike/sikep751/sike.go | 189 ++ src/circl/kem/sike/templates/pkg.templ.go | 193 ++ src/circl/oprf/client.go | 170 ++ src/circl/oprf/keys.go | 53 + src/circl/oprf/oprf.go | 244 ++ src/circl/oprf/oprf_test.go | 129 + src/circl/oprf/server.go | 144 + src/circl/oprf/testdata/allVectors_v06.json | 407 +++ src/circl/oprf/vectors_test.go | 183 ++ src/circl/pke/kyber/gen.go | 10 +- src/circl/pke/kyber/internal/common/amd64.go | 301 +++ src/circl/pke/kyber/internal/common/amd64.s | 2354 +++++++++++++++++ src/circl/pke/kyber/internal/common/field.go | 8 +- .../pke/kyber/internal/common/field_test.go | 6 +- .../pke/kyber/internal/common/generic.go | 76 + src/circl/pke/kyber/internal/common/ntt.go | 70 +- .../pke/kyber/internal/common/ntt_test.go | 88 +- src/circl/pke/kyber/internal/common/params.go | 15 +- .../kyber/internal/common/params/params.go | 21 + src/circl/pke/kyber/internal/common/poly.go | 69 +- .../pke/kyber/internal/common/poly_test.go | 163 +- src/circl/pke/kyber/internal/common/sample.go | 210 +- .../pke/kyber/internal/common/sample_test.go | 164 +- .../pke/kyber/internal/common/stubs_amd64.go | 32 + src/circl/pke/kyber/kyber.go | 4 +- .../pke/kyber/kyber1024/internal/cpapke.go | 16 +- .../kyber/kyber1024/internal/cpapke_test.go | 8 - src/circl/pke/kyber/kyber1024/internal/mat.go | 67 +- .../pke/kyber/kyber1024/internal/params.go | 1 + .../kyber/kyber1024/internal/params_test.go | 25 - src/circl/pke/kyber/kyber1024/internal/vec.go | 14 +- src/circl/pke/kyber/kyber1024/kyber.go | 4 +- .../pke/kyber/kyber512/internal/cpapke.go | 16 +- .../kyber/kyber512/internal/cpapke_test.go | 8 - src/circl/pke/kyber/kyber512/internal/mat.go | 67 +- .../pke/kyber/kyber512/internal/params.go | 5 +- .../kyber/kyber512/internal/params_test.go | 25 - src/circl/pke/kyber/kyber512/internal/vec.go | 14 +- src/circl/pke/kyber/kyber512/kyber.go | 4 +- .../pke/kyber/kyber768/internal/cpapke.go | 16 +- .../kyber/kyber768/internal/cpapke_test.go | 8 - src/circl/pke/kyber/kyber768/internal/mat.go | 67 +- .../pke/kyber/kyber768/internal/params.go | 1 + .../kyber/kyber768/internal/params_test.go | 25 - src/circl/pke/kyber/kyber768/internal/vec.go | 14 +- src/circl/pke/kyber/kyber768/kyber.go | 4 +- src/circl/pke/kyber/templates/params.templ.go | 1 + src/circl/pke/kyber/templates/pkg.templ.go | 4 +- src/circl/sign/dilithium/dilithium_test.go | 6 +- .../dilithium/mode1/internal/dilithium.go | 12 +- .../sign/dilithium/mode1/internal/sample.go | 10 +- .../dilithium/mode1aes/internal/dilithium.go | 12 +- .../dilithium/mode1aes/internal/sample.go | 10 +- .../dilithium/mode2/internal/dilithium.go | 12 +- .../sign/dilithium/mode2/internal/sample.go | 10 +- .../dilithium/mode2aes/internal/dilithium.go | 12 +- .../dilithium/mode2aes/internal/sample.go | 10 +- .../dilithium/mode3/internal/dilithium.go | 12 +- .../sign/dilithium/mode3/internal/sample.go | 10 +- .../dilithium/mode3aes/internal/dilithium.go | 12 +- .../dilithium/mode3aes/internal/sample.go | 10 +- .../dilithium/mode4/internal/dilithium.go | 12 +- .../sign/dilithium/mode4/internal/sample.go | 10 +- .../dilithium/mode4aes/internal/dilithium.go | 12 +- .../dilithium/mode4aes/internal/sample.go | 10 +- src/circl/sign/ed25519/ed25519.go | 4 +- src/circl/sign/ed25519/signapi.go | 5 +- src/circl/sign/ed448/ed448.go | 6 +- src/circl/sign/ed448/signapi.go | 5 +- src/circl/sign/eddilithium3/eddilithium.go | 8 +- src/circl/sign/eddilithium3/signapi.go | 5 +- src/circl/sign/eddilithium4/eddilithium.go | 8 +- src/circl/sign/eddilithium4/signapi.go | 5 +- src/circl/sign/schemes/schemes.go | 14 +- src/circl/sign/schemes/schemes_test.go | 11 + src/circl/sign/sign.go | 18 +- src/circl/simd/keccakf1600/example_test.go | 2 +- src/circl/simd/keccakf1600/f1600x4.go | 4 +- src/circl/simd/keccakf1600/f1600x4_amd64.go | 4 +- src/crypto/tls/tls_cf.go | 2 +- src/crypto/x509/x509_cf.go | 2 +- src/go/build/deps_test.go | 4 + 138 files changed, 7957 insertions(+), 1422 deletions(-) delete mode 100644 src/circl/ecc/p384/api_test.go create mode 100644 src/circl/ecc/p384/opt_test.go create mode 100644 src/circl/ecc/p384/p384_generic.go create mode 100644 src/circl/ecc/p384/p384opt.go create mode 100644 src/circl/group/group.go create mode 100644 src/circl/group/group_test.go create mode 100644 src/circl/group/hash.go create mode 100644 src/circl/group/short.go create mode 100644 src/circl/internal/sha3/doc.go create mode 100644 src/circl/internal/sha3/hashes.go rename src/circl/internal/{shake => sha3}/keccakf.go (99%) rename src/circl/internal/{shake => sha3}/keccakf_amd64.go (84%) rename src/circl/internal/{shake => sha3}/keccakf_amd64.s (99%) create mode 100644 src/circl/internal/sha3/rc.go rename src/circl/internal/{shake => sha3}/sha3.go (72%) create mode 100644 src/circl/internal/sha3/sha3_s390x.s create mode 100644 src/circl/internal/sha3/sha3_test.go create mode 100644 src/circl/internal/sha3/shake.go create mode 100644 src/circl/internal/sha3/testdata/keccakKats.json.deflate create mode 100644 src/circl/internal/sha3/xor.go rename src/circl/internal/{shake => sha3}/xor_generic.go (72%) rename src/circl/internal/{shake => sha3}/xor_unaligned.go (69%) delete mode 100644 src/circl/internal/shake/LICENSE delete mode 100644 src/circl/internal/shake/doc.go delete mode 100644 src/circl/internal/shake/sha3_test.go delete mode 100644 src/circl/internal/shake/shake.go delete mode 100644 src/circl/internal/shake/testdata/keccakKats.json.deflate create mode 100644 src/circl/kem/sike/doc.go create mode 100644 src/circl/kem/sike/gen.go create mode 100644 src/circl/kem/sike/sikep434/sike.go create mode 100644 src/circl/kem/sike/sikep503/sike.go create mode 100644 src/circl/kem/sike/sikep751/sike.go create mode 100644 src/circl/kem/sike/templates/pkg.templ.go create mode 100644 src/circl/oprf/client.go create mode 100644 src/circl/oprf/keys.go create mode 100644 src/circl/oprf/oprf.go create mode 100644 src/circl/oprf/oprf_test.go create mode 100644 src/circl/oprf/server.go create mode 100644 src/circl/oprf/testdata/allVectors_v06.json create mode 100644 src/circl/oprf/vectors_test.go create mode 100644 src/circl/pke/kyber/internal/common/amd64.go create mode 100644 src/circl/pke/kyber/internal/common/amd64.s create mode 100644 src/circl/pke/kyber/internal/common/generic.go create mode 100644 src/circl/pke/kyber/internal/common/params/params.go create mode 100644 src/circl/pke/kyber/internal/common/stubs_amd64.go delete mode 100644 src/circl/pke/kyber/kyber1024/internal/params_test.go delete mode 100644 src/circl/pke/kyber/kyber512/internal/params_test.go delete mode 100644 src/circl/pke/kyber/kyber768/internal/params_test.go diff --git a/cf-copy-from-circle.py b/cf-copy-from-circle.py index 41772eb646b..a4fda471e40 100644 --- a/cf-copy-from-circle.py +++ b/cf-copy-from-circle.py @@ -33,6 +33,7 @@ subprocess.check_call(['rm', '-r', os.path.join(circl, 'simd/keccakf1600/internal/asm'), os.path.join(circl, 'sign/dilithium/internal/common/asm'), + os.path.join(circl, 'pke/kyber/internal/common/asm'), ]) print("Removing templates (for now) ...") @@ -43,6 +44,11 @@ os.path.join(circl, 'sign/dilithium/gen.go'), ]) +#print("Removing unused packages ...") +#subprocess.check_call(['rm', '-r', '-f', +# os.path.join(circl, 'group'), +#]) + print("Removing misc cruft ...") subprocess.check_call(['rm', '-r', '-f', os.path.join(circl, '.git'), diff --git a/src/circl/.github/workflows/ci-actions.yml b/src/circl/.github/workflows/ci-actions.yml index c8398715434..48d87fdba1b 100644 --- a/src/circl/.github/workflows/ci-actions.yml +++ b/src/circl/.github/workflows/ci-actions.yml @@ -17,7 +17,7 @@ jobs: - name: Checkout uses: actions/checkout@v2 - name: Linting - uses: golangci/golangci-lint-action@v1 + uses: golangci/golangci-lint-action@v2 with: version: v1.29 args: --config=./.etc/golangci.yml ./... diff --git a/src/circl/dh/sidh/internal/p434/arith_generic.go b/src/circl/dh/sidh/internal/p434/arith_generic.go index e2c8eac9fb4..08a76de8324 100644 --- a/src/circl/dh/sidh/internal/p434/arith_generic.go +++ b/src/circl/dh/sidh/internal/p434/arith_generic.go @@ -1,7 +1,7 @@ // Code generated by go generate; DO NOT EDIT. // This file was generated by robots. -// +build noasm,arm64 !amd64 +// +build noasm !amd64 package p434 diff --git a/src/circl/dh/sidh/internal/templates/arith_generic.gotemp b/src/circl/dh/sidh/internal/templates/arith_generic.gotemp index f1ca6b97168..f82ca3b6547 100644 --- a/src/circl/dh/sidh/internal/templates/arith_generic.gotemp +++ b/src/circl/dh/sidh/internal/templates/arith_generic.gotemp @@ -1,7 +1,7 @@ // Code generated by go generate; DO NOT EDIT. // This file was generated by robots. -// +build {{if .OPT_ARM}}noasm !amd64,!arm64{{else}}noasm,arm64 !amd64{{end}} +// +build {{if .OPT_ARM}}noasm !amd64,!arm64{{else}}noasm !amd64{{end}} package {{ .PACKAGE}} diff --git a/src/circl/dh/sidh/sike.go b/src/circl/dh/sidh/sike.go index 1b8167cb46d..8281a6f2d27 100644 --- a/src/circl/dh/sidh/sike.go +++ b/src/circl/dh/sidh/sike.go @@ -6,7 +6,7 @@ import ( "io" "circl/dh/sidh/internal/common" - "circl/internal/shake" + "circl/internal/sha3" ) // SIKE KEM interface. @@ -16,7 +16,7 @@ type KEM struct { msg []byte secretBytes []byte params *common.SidhParams - shake shake.Shake + shake sha3.State } // NewSike434 instantiates SIKE/p434 KEM. @@ -47,7 +47,7 @@ func (c *KEM) Allocate(id uint8, rng io.Reader) { c.params = common.Params(id) c.msg = make([]byte, c.params.MsgLen) c.secretBytes = make([]byte, c.params.A.SecretByteLen) - c.shake = shake.NewShake256() + c.shake = sha3.NewShake256() c.allocated = true } @@ -198,6 +198,16 @@ func (c *KEM) SharedSecretSize() int { return c.params.KemSize } +// PublicKeySize returns size of the public key in bytes. +func (c *KEM) PublicKeySize() int { + return c.params.PublicKeySize +} + +// Size returns size of the private key in bytes. +func (c *KEM) PrivateKeySize() int { + return int(c.params.B.SecretByteLen) + c.params.MsgLen +} + func (c *KEM) generateCiphertext(ctext []byte, skA *PrivateKey, pkA, pkB *PublicKey, ptext []byte) { var n [common.MaxMsgBsz]byte var j [common.MaxSharedSecretBsz]byte diff --git a/src/circl/ecc/p384/api_test.go b/src/circl/ecc/p384/api_test.go deleted file mode 100644 index 64a12963e13..00000000000 --- a/src/circl/ecc/p384/api_test.go +++ /dev/null @@ -1,56 +0,0 @@ -// +build arm64 amd64 - -package p384_test - -import ( - "crypto/elliptic" - "crypto/rand" - "fmt" - "testing" - - "circl/ecc/p384" -) - -func BenchmarkScalarMult(b *testing.B) { - curve := p384.P384() - params := curve.Params() - - K, _ := rand.Int(rand.Reader, params.N) - M, _ := rand.Int(rand.Reader, params.N) - N, _ := rand.Int(rand.Reader, params.N) - k := K.Bytes() - m := M.Bytes() - n := N.Bytes() - - b.Run("kG", func(b *testing.B) { - for i := 0; i < b.N; i++ { - curve.ScalarBaseMult(k) - } - }) - b.Run("kP", func(b *testing.B) { - for i := 0; i < b.N; i++ { - curve.ScalarMult(params.Gx, params.Gy, k) - } - }) - b.Run("kG+lP", func(b *testing.B) { - for i := 0; i < b.N; i++ { - _, _ = curve.CombinedMult(params.Gx, params.Gy, m, n) - } - }) -} - -func Example_p384() { - // import "circl/ecc/p384" - // import "crypto/elliptic" - circl := p384.P384() - stdlib := elliptic.P384() - - params := circl.Params() - K, _ := rand.Int(rand.Reader, params.N) - k := K.Bytes() - - x1, y1 := circl.ScalarBaseMult(k) - x2, y2 := stdlib.ScalarBaseMult(k) - fmt.Printf("%v, %v", x1.Cmp(x2) == 0, y1.Cmp(y2) == 0) - // Output: true, true -} diff --git a/src/circl/ecc/p384/arith.go b/src/circl/ecc/p384/arith.go index 44eb5228cf3..7b06bc2365d 100644 --- a/src/circl/ecc/p384/arith.go +++ b/src/circl/ecc/p384/arith.go @@ -1,4 +1,4 @@ -// +build arm64 amd64 +// +build !noasm,arm64 !noasm,amd64 package p384 diff --git a/src/circl/ecc/p384/arith_amd64.go b/src/circl/ecc/p384/arith_amd64.go index fd67a02604f..95dd1524467 100644 --- a/src/circl/ecc/p384/arith_amd64.go +++ b/src/circl/ecc/p384/arith_amd64.go @@ -1,4 +1,4 @@ -// +build amd64 +// +build amd64,!noasm package p384 diff --git a/src/circl/ecc/p384/arith_amd64.s b/src/circl/ecc/p384/arith_amd64.s index 608cfdb62b0..7866bca4abe 100644 --- a/src/circl/ecc/p384/arith_amd64.s +++ b/src/circl/ecc/p384/arith_amd64.s @@ -1,4 +1,4 @@ -// +build amd64 +// +build amd64,!noasm #include "textflag.h" diff --git a/src/circl/ecc/p384/arith_arm64.s b/src/circl/ecc/p384/arith_arm64.s index 2aa81e448a2..ec93991d426 100644 --- a/src/circl/ecc/p384/arith_arm64.s +++ b/src/circl/ecc/p384/arith_arm64.s @@ -1,4 +1,4 @@ -// +build arm64 +// +build arm64,!noasm #include "textflag.h" diff --git a/src/circl/ecc/p384/arith_test.go b/src/circl/ecc/p384/arith_test.go index 51396594d3d..ced843a7870 100644 --- a/src/circl/ecc/p384/arith_test.go +++ b/src/circl/ecc/p384/arith_test.go @@ -1,4 +1,4 @@ -// +build arm64 amd64 +// +build !noasm,arm64 !noasm,amd64 package p384 diff --git a/src/circl/ecc/p384/opt_test.go b/src/circl/ecc/p384/opt_test.go new file mode 100644 index 00000000000..463e830b74f --- /dev/null +++ b/src/circl/ecc/p384/opt_test.go @@ -0,0 +1,78 @@ +// +build !noasm,arm64 !noasm,amd64 + +package p384 + +import ( + "crypto/elliptic" + "math/big" + "testing" + + "circl/internal/test" +) + +func TestInternals(t *testing.T) { + t.Run("absolute", func(t *testing.T) { + cases := []int32{-2, -1, 0, 1, 2} + expected := []int32{2, 1, 0, 1, 2} + for i := range cases { + got := absolute(cases[i]) + want := expected[i] + if got != want { + test.ReportError(t, got, want, cases[i]) + } + } + }) + + t.Run("toOdd", func(t *testing.T) { + var c curve + k := []byte{0xF0} + oddK, _ := c.toOdd(k) + got := len(oddK) + want := 48 + if got != want { + test.ReportError(t, got, want) + } + + oddK[sizeFp-1] = 0x0 + smallOddK, _ := c.toOdd(oddK) + got = len(smallOddK) + want = 48 + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("special k", func(t *testing.T) { + cases := []struct { // known cases that require complete addition + w uint + k int + }{ + {w: 2, k: 2}, + {w: 5, k: 6}, + {w: 6, k: 38}, + {w: 7, k: 102}, + {w: 9, k: 230}, + {w: 12, k: 742}, + {w: 14, k: 4838}, + {w: 17, k: 21222}, + {w: 19, k: 152294}, + } + + var c curve + + StdCurve := elliptic.P384() + params := StdCurve.Params() + for _, caseI := range cases { + k := big.NewInt(int64(caseI.k)).Bytes() + gotX, gotY := c.scalarMultOmega(params.Gx, params.Gy, k, caseI.w) + wantX, wantY := StdCurve.ScalarMult(params.Gx, params.Gy, k) + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, caseI) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY, caseI) + } + } + }) +} diff --git a/src/circl/ecc/p384/p384.go b/src/circl/ecc/p384/p384.go index 0e8c0f7afe3..75005d08df9 100644 --- a/src/circl/ecc/p384/p384.go +++ b/src/circl/ecc/p384/p384.go @@ -1,13 +1,8 @@ -// +build arm64 amd64 - package p384 import ( "crypto/elliptic" - "crypto/subtle" "math/big" - - "circl/math" ) // Curve is used to provide the extended functionality and performance of @@ -22,11 +17,6 @@ type Curve interface { CombinedMult(Qx, Qy *big.Int, m, n []byte) (Px, Py *big.Int) } -type curve struct{} - -// P384 returns a Curve which implements P-384 (see FIPS 186-3, section D.2.4). -func P384() Curve { return curve{} } - // Params returns the parameters for the curve. Note: The value returned by // this function fallbacks to the stdlib implementation of elliptic curve // operations. Use this method to only recover elliptic curve parameters. @@ -36,175 +26,3 @@ func (c curve) Params() *elliptic.CurveParams { return elliptic.P384().Params() func (c curve) IsAtInfinity(x, y *big.Int) bool { return x.Sign() == 0 && y.Sign() == 0 } - -// IsOnCurve reports whether the given (x,y) lies on the curve. -func (c curve) IsOnCurve(x, y *big.Int) bool { - x1, y1 := &fp384{}, &fp384{} - x1.SetBigInt(x) - y1.SetBigInt(y) - montEncode(x1, x1) - montEncode(y1, y1) - - y2, x3 := &fp384{}, &fp384{} - fp384Sqr(y2, y1) - fp384Sqr(x3, x1) - fp384Mul(x3, x3, x1) - - threeX := &fp384{} - fp384Add(threeX, x1, x1) - fp384Add(threeX, threeX, x1) - - fp384Sub(x3, x3, threeX) - fp384Add(x3, x3, &bb) - - return *y2 == *x3 -} - -// Add returns the sum of (x1,y1) and (x2,y2). -func (c curve) Add(x1, y1, x2, y2 *big.Int) (x, y *big.Int) { - P := newAffinePoint(x1, y1).toJacobian() - P.mixadd(P, newAffinePoint(x2, y2)) - return P.toAffine().toInt() -} - -// Double returns 2*(x,y). -func (c curve) Double(x1, y1 *big.Int) (x, y *big.Int) { - P := newAffinePoint(x1, y1).toJacobian() - P.double() - return P.toAffine().toInt() -} - -// reduceScalar shorten a scalar modulo the order of the curve. -func (c curve) reduceScalar(k []byte) []byte { - const max = sizeFp - if len(k) > max { - bigK := new(big.Int).SetBytes(k) - bigK.Mod(bigK, c.Params().N) - k = bigK.Bytes() - } - if len(k) < max { - k = append(make([]byte, max-len(k)), k...) - } - return k -} - -// toOdd performs k = (-k mod N) if k is even. -func (c curve) toOdd(k []byte) ([]byte, int) { - var X, Y big.Int - X.SetBytes(k) - Y.Neg(&X).Mod(&Y, c.Params().N) - isEven := 1 - int(X.Bit(0)) - x := X.Bytes() - y := Y.Bytes() - - if len(x) < len(y) { - x = append(make([]byte, len(y)-len(x)), x...) - } else if len(x) > len(y) { - y = append(make([]byte, len(x)-len(y)), y...) - } - subtle.ConstantTimeCopy(isEven, x, y) - return x, isEven -} - -// ScalarMult returns (Qx,Qy)=k*(Px,Py) where k is a number in big-endian form. -func (c curve) ScalarMult(x1, y1 *big.Int, k []byte) (x, y *big.Int) { - return c.scalarMultOmega(x1, y1, k, 5) -} - -func (c curve) scalarMultOmega(x1, y1 *big.Int, k []byte, omega uint) (x, y *big.Int) { - k = c.reduceScalar(k) - oddK, isEvenK := c.toOdd(k) - - var scalar big.Int - scalar.SetBytes(oddK) - if scalar.Sign() == 0 { - return new(big.Int), new(big.Int) - } - const bitsN = uint(384) - L := math.SignedDigit(&scalar, omega, bitsN) - - var R jacobianPoint - Q := zeroPoint().toJacobian() - TabP := newAffinePoint(x1, y1).oddMultiples(omega) - for i := len(L) - 1; i > 0; i-- { - for j := uint(0); j < omega-1; j++ { - Q.double() - } - idx := absolute(L[i]) >> 1 - for j := range TabP { - R.cmov(&TabP[j], subtle.ConstantTimeEq(int32(j), idx)) - } - R.cneg(int(L[i]>>31) & 1) - Q.add(Q, &R) - } - // Calculate the last iteration using complete addition formula. - for j := uint(0); j < omega-1; j++ { - Q.double() - } - idx := absolute(L[0]) >> 1 - for j := range TabP { - R.cmov(&TabP[j], subtle.ConstantTimeEq(int32(j), idx)) - } - R.cneg(int(L[0]>>31) & 1) - QQ := Q.toProjective() - QQ.completeAdd(QQ, R.toProjective()) - QQ.cneg(isEvenK) - return QQ.toAffine().toInt() -} - -// ScalarBaseMult returns k*G, where G is the base point of the group -// and k is an integer in big-endian form. -func (c curve) ScalarBaseMult(k []byte) (x, y *big.Int) { - params := c.Params() - return c.ScalarMult(params.Gx, params.Gy, k) -} - -// CombinedMult calculates P=mG+nQ, where G is the generator and Q=(x,y,z). -// The scalars m and n are integers in big-endian form. Non-constant time. -func (c curve) CombinedMult(xQ, yQ *big.Int, m, n []byte) (xP, yP *big.Int) { - const nOmega = uint(5) - var k big.Int - k.SetBytes(m) - nafM := math.OmegaNAF(&k, baseOmega) - k.SetBytes(n) - nafN := math.OmegaNAF(&k, nOmega) - - if len(nafM) > len(nafN) { - nafN = append(nafN, make([]int32, len(nafM)-len(nafN))...) - } else if len(nafM) < len(nafN) { - nafM = append(nafM, make([]int32, len(nafN)-len(nafM))...) - } - - TabQ := newAffinePoint(xQ, yQ).oddMultiples(nOmega) - var jR jacobianPoint - var aR affinePoint - P := zeroPoint().toJacobian() - for i := len(nafN) - 1; i >= 0; i-- { - P.double() - // Generator point - if nafM[i] != 0 { - idxM := absolute(nafM[i]) >> 1 - aR = baseOddMultiples[idxM] - if nafM[i] < 0 { - aR.neg() - } - P.mixadd(P, &aR) - } - // Input point - if nafN[i] != 0 { - idxN := absolute(nafN[i]) >> 1 - jR = TabQ[idxN] - if nafN[i] < 0 { - jR.neg() - } - P.add(P, &jR) - } - } - return P.toAffine().toInt() -} - -// absolute returns always a positive value. -func absolute(x int32) int32 { - mask := x >> 31 - return (x + mask) ^ mask -} diff --git a/src/circl/ecc/p384/p384_generic.go b/src/circl/ecc/p384/p384_generic.go new file mode 100644 index 00000000000..3acc38550ec --- /dev/null +++ b/src/circl/ecc/p384/p384_generic.go @@ -0,0 +1,20 @@ +// +build noasm !amd64,!arm64 + +package p384 + +import ( + "crypto/elliptic" + "math/big" +) + +type curve struct{ elliptic.Curve } + +func P384() Curve { return curve{elliptic.P384()} } + +// CombinedMult calculates P=mG+nQ, where G is the generator and Q=(x,y,z). +// The scalars m and n are integers in big-endian form. Non-constant time. +func (c curve) CombinedMult(xQ, yQ *big.Int, m, n []byte) (xP, yP *big.Int) { + x1, y1 := c.ScalarBaseMult(m) + x2, y2 := c.ScalarMult(xQ, yQ, n) + return c.Add(x1, y1, x2, y2) +} diff --git a/src/circl/ecc/p384/p384_test.go b/src/circl/ecc/p384/p384_test.go index 4ba27dc1591..a174fd6b4e7 100644 --- a/src/circl/ecc/p384/p384_test.go +++ b/src/circl/ecc/p384/p384_test.go @@ -1,18 +1,17 @@ -// +build arm64 amd64 - -package p384 +package p384_test import ( "crypto/elliptic" "crypto/rand" - "math/big" + "fmt" "testing" + "circl/ecc/p384" "circl/internal/test" ) func TestIsOnCurveTrue(t *testing.T) { - CirclCurve := P384() + CirclCurve := p384.P384() k := make([]byte, 384/8) for i := 0; i < 128; i++ { _, _ = rand.Read(k) @@ -35,7 +34,7 @@ func TestIsOnCurveTrue(t *testing.T) { func TestAffine(t *testing.T) { const testTimes = 1 << 7 - CirclCurve := P384() + CirclCurve := p384.P384() StdCurve := elliptic.P384() params := StdCurve.Params() @@ -75,107 +74,9 @@ func TestAffine(t *testing.T) { }) } -func TestScalarMult(t *testing.T) { - const testTimes = 1 << 7 - CirclCurve := P384() - StdCurve := elliptic.P384() - params := StdCurve.Params() - - t.Run("toOdd", func(t *testing.T) { - var c curve - k := []byte{0xF0} - oddK, _ := c.toOdd(k) - got := len(oddK) - want := 48 - if got != want { - test.ReportError(t, got, want) - } - - oddK[sizeFp-1] = 0x0 - smallOddK, _ := c.toOdd(oddK) - got = len(smallOddK) - want = 48 - if got != want { - test.ReportError(t, got, want) - } - }) - - t.Run("k=0", func(t *testing.T) { - k := []byte{0x0} - gotX, gotY := CirclCurve.ScalarMult(params.Gx, params.Gy, k) - got := CirclCurve.IsAtInfinity(gotX, gotY) - want := true - if got != want { - test.ReportError(t, got, want) - } - }) - - t.Run("special k", func(t *testing.T) { - cases := []struct { // known cases that require complete addition - w uint - k int - }{ - {w: 2, k: 2}, - {w: 5, k: 6}, - {w: 6, k: 38}, - {w: 7, k: 102}, - {w: 9, k: 230}, - {w: 12, k: 742}, - {w: 14, k: 4838}, - {w: 17, k: 21222}, - {w: 19, k: 152294}, - } - - var c curve - - for _, caseI := range cases { - k := big.NewInt(int64(caseI.k)).Bytes() - gotX, gotY := c.scalarMultOmega(params.Gx, params.Gy, k, caseI.w) - wantX, wantY := StdCurve.ScalarMult(params.Gx, params.Gy, k) - - if gotX.Cmp(wantX) != 0 { - test.ReportError(t, gotX, wantX, caseI) - } - if gotY.Cmp(wantY) != 0 { - test.ReportError(t, gotY, wantY, caseI) - } - } - }) - - t.Run("random k", func(t *testing.T) { - for i := 0; i < testTimes; i++ { - k, _ := rand.Int(rand.Reader, params.N) - gotX, gotY := CirclCurve.ScalarMult(params.Gx, params.Gy, k.Bytes()) - wantX, wantY := StdCurve.ScalarMult(params.Gx, params.Gy, k.Bytes()) - - if gotX.Cmp(wantX) != 0 { - test.ReportError(t, gotX, wantX, k) - } - if gotY.Cmp(wantY) != 0 { - test.ReportError(t, gotY, wantY) - } - } - }) - - t.Run("wrong P", func(t *testing.T) { - for i := 0; i < testTimes; i++ { - k, _ := rand.Int(rand.Reader, params.N) - x, _ := rand.Int(rand.Reader, params.P) - y, _ := rand.Int(rand.Reader, params.P) - - got := CirclCurve.IsOnCurve(CirclCurve.ScalarMult(x, y, k.Bytes())) - want := StdCurve.IsOnCurve(StdCurve.ScalarMult(x, y, k.Bytes())) - - if got != want { - test.ReportError(t, got, want, k, x, y) - } - } - }) -} - func TestScalarBaseMult(t *testing.T) { - const testTimes = 1 << 7 - CirclCurve := P384() + const testTimes = 1 << 6 + CirclCurve := p384.P384() StdCurve := elliptic.P384() t.Run("0P", func(t *testing.T) { @@ -238,9 +139,56 @@ func TestScalarBaseMult(t *testing.T) { }) } +func TestScalarMult(t *testing.T) { + const testTimes = 1 << 6 + CirclCurve := p384.P384() + StdCurve := elliptic.P384() + params := StdCurve.Params() + + t.Run("k=0", func(t *testing.T) { + k := []byte{0x0} + gotX, gotY := CirclCurve.ScalarMult(params.Gx, params.Gy, k) + got := CirclCurve.IsAtInfinity(gotX, gotY) + want := true + if got != want { + test.ReportError(t, got, want) + } + }) + + t.Run("random k", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + k, _ := rand.Int(rand.Reader, params.N) + gotX, gotY := CirclCurve.ScalarMult(params.Gx, params.Gy, k.Bytes()) + wantX, wantY := StdCurve.ScalarMult(params.Gx, params.Gy, k.Bytes()) + + if gotX.Cmp(wantX) != 0 { + test.ReportError(t, gotX, wantX, k) + } + if gotY.Cmp(wantY) != 0 { + test.ReportError(t, gotY, wantY) + } + } + }) + + t.Run("wrong P", func(t *testing.T) { + for i := 0; i < testTimes; i++ { + k, _ := rand.Int(rand.Reader, params.N) + x, _ := rand.Int(rand.Reader, params.P) + y, _ := rand.Int(rand.Reader, params.P) + + got := CirclCurve.IsOnCurve(CirclCurve.ScalarMult(x, y, k.Bytes())) + want := StdCurve.IsOnCurve(StdCurve.ScalarMult(x, y, k.Bytes())) + + if got != want { + test.ReportError(t, got, want, k, x, y) + } + } + }) +} + func TestCombinedMult(t *testing.T) { const testTimes = 1 << 7 - CirclCurve := P384() + CirclCurve := p384.P384() StdCurve := elliptic.P384() params := StdCurve.Params() @@ -264,14 +212,46 @@ func TestCombinedMult(t *testing.T) { } } -func TestAbsolute(t *testing.T) { - cases := []int32{-2, -1, 0, 1, 2} - expected := []int32{2, 1, 0, 1, 2} - for i := range cases { - got := absolute(cases[i]) - want := expected[i] - if got != want { - test.ReportError(t, got, want, cases[i]) +func BenchmarkScalarMult(b *testing.B) { + curve := p384.P384() + params := curve.Params() + + K, _ := rand.Int(rand.Reader, params.N) + M, _ := rand.Int(rand.Reader, params.N) + N, _ := rand.Int(rand.Reader, params.N) + k := K.Bytes() + m := M.Bytes() + n := N.Bytes() + + b.Run("kG", func(b *testing.B) { + for i := 0; i < b.N; i++ { + curve.ScalarBaseMult(k) } - } + }) + b.Run("kP", func(b *testing.B) { + for i := 0; i < b.N; i++ { + curve.ScalarMult(params.Gx, params.Gy, k) + } + }) + b.Run("kG+lP", func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _ = curve.CombinedMult(params.Gx, params.Gy, m, n) + } + }) +} + +func Example_p384() { + // import "circl/ecc/p384" + // import "crypto/elliptic" + circl := p384.P384() + stdlib := elliptic.P384() + + params := circl.Params() + K, _ := rand.Int(rand.Reader, params.N) + k := K.Bytes() + + x1, y1 := circl.ScalarBaseMult(k) + x2, y2 := stdlib.ScalarBaseMult(k) + fmt.Printf("%v, %v", x1.Cmp(x2) == 0, y1.Cmp(y2) == 0) + // Output: true, true } diff --git a/src/circl/ecc/p384/p384opt.go b/src/circl/ecc/p384/p384opt.go new file mode 100644 index 00000000000..9849b7c540e --- /dev/null +++ b/src/circl/ecc/p384/p384opt.go @@ -0,0 +1,187 @@ +// +build !noasm,arm64 !noasm,amd64 + +package p384 + +import ( + "crypto/subtle" + "math/big" + + "circl/math" +) + +type curve struct{} + +// P384 returns a Curve which implements P-384 (see FIPS 186-3, section D.2.4). +func P384() Curve { return curve{} } + +// IsOnCurve reports whether the given (x,y) lies on the curve. +func (c curve) IsOnCurve(x, y *big.Int) bool { + x1, y1 := &fp384{}, &fp384{} + x1.SetBigInt(x) + y1.SetBigInt(y) + montEncode(x1, x1) + montEncode(y1, y1) + + y2, x3 := &fp384{}, &fp384{} + fp384Sqr(y2, y1) + fp384Sqr(x3, x1) + fp384Mul(x3, x3, x1) + + threeX := &fp384{} + fp384Add(threeX, x1, x1) + fp384Add(threeX, threeX, x1) + + fp384Sub(x3, x3, threeX) + fp384Add(x3, x3, &bb) + + return *y2 == *x3 +} + +// Add returns the sum of (x1,y1) and (x2,y2). +func (c curve) Add(x1, y1, x2, y2 *big.Int) (x, y *big.Int) { + P := newAffinePoint(x1, y1).toJacobian() + P.mixadd(P, newAffinePoint(x2, y2)) + return P.toAffine().toInt() +} + +// Double returns 2*(x,y). +func (c curve) Double(x1, y1 *big.Int) (x, y *big.Int) { + P := newAffinePoint(x1, y1).toJacobian() + P.double() + return P.toAffine().toInt() +} + +// reduceScalar shorten a scalar modulo the order of the curve. +func (c curve) reduceScalar(k []byte) []byte { + const max = sizeFp + if len(k) > max { + bigK := new(big.Int).SetBytes(k) + bigK.Mod(bigK, c.Params().N) + k = bigK.Bytes() + } + if len(k) < max { + k = append(make([]byte, max-len(k)), k...) + } + return k +} + +// toOdd performs k = (-k mod N) if k is even. +func (c curve) toOdd(k []byte) ([]byte, int) { + var X, Y big.Int + X.SetBytes(k) + Y.Neg(&X).Mod(&Y, c.Params().N) + isEven := 1 - int(X.Bit(0)) + x := X.Bytes() + y := Y.Bytes() + + if len(x) < len(y) { + x = append(make([]byte, len(y)-len(x)), x...) + } else if len(x) > len(y) { + y = append(make([]byte, len(x)-len(y)), y...) + } + subtle.ConstantTimeCopy(isEven, x, y) + return x, isEven +} + +// ScalarMult returns (Qx,Qy)=k*(Px,Py) where k is a number in big-endian form. +func (c curve) ScalarMult(x1, y1 *big.Int, k []byte) (x, y *big.Int) { + return c.scalarMultOmega(x1, y1, k, 5) +} + +func (c curve) scalarMultOmega(x1, y1 *big.Int, k []byte, omega uint) (x, y *big.Int) { + k = c.reduceScalar(k) + oddK, isEvenK := c.toOdd(k) + + var scalar big.Int + scalar.SetBytes(oddK) + if scalar.Sign() == 0 { + return new(big.Int), new(big.Int) + } + const bitsN = uint(384) + L := math.SignedDigit(&scalar, omega, bitsN) + + var R jacobianPoint + Q := zeroPoint().toJacobian() + TabP := newAffinePoint(x1, y1).oddMultiples(omega) + for i := len(L) - 1; i > 0; i-- { + for j := uint(0); j < omega-1; j++ { + Q.double() + } + idx := absolute(L[i]) >> 1 + for j := range TabP { + R.cmov(&TabP[j], subtle.ConstantTimeEq(int32(j), idx)) + } + R.cneg(int(L[i]>>31) & 1) + Q.add(Q, &R) + } + // Calculate the last iteration using complete addition formula. + for j := uint(0); j < omega-1; j++ { + Q.double() + } + idx := absolute(L[0]) >> 1 + for j := range TabP { + R.cmov(&TabP[j], subtle.ConstantTimeEq(int32(j), idx)) + } + R.cneg(int(L[0]>>31) & 1) + QQ := Q.toProjective() + QQ.completeAdd(QQ, R.toProjective()) + QQ.cneg(isEvenK) + return QQ.toAffine().toInt() +} + +// ScalarBaseMult returns k*G, where G is the base point of the group +// and k is an integer in big-endian form. +func (c curve) ScalarBaseMult(k []byte) (x, y *big.Int) { + params := c.Params() + return c.ScalarMult(params.Gx, params.Gy, k) +} + +// CombinedMult calculates P=mG+nQ, where G is the generator and Q=(x,y,z). +// The scalars m and n are integers in big-endian form. Non-constant time. +func (c curve) CombinedMult(xQ, yQ *big.Int, m, n []byte) (xP, yP *big.Int) { + const nOmega = uint(5) + var k big.Int + k.SetBytes(m) + nafM := math.OmegaNAF(&k, baseOmega) + k.SetBytes(n) + nafN := math.OmegaNAF(&k, nOmega) + + if len(nafM) > len(nafN) { + nafN = append(nafN, make([]int32, len(nafM)-len(nafN))...) + } else if len(nafM) < len(nafN) { + nafM = append(nafM, make([]int32, len(nafN)-len(nafM))...) + } + + TabQ := newAffinePoint(xQ, yQ).oddMultiples(nOmega) + var jR jacobianPoint + var aR affinePoint + P := zeroPoint().toJacobian() + for i := len(nafN) - 1; i >= 0; i-- { + P.double() + // Generator point + if nafM[i] != 0 { + idxM := absolute(nafM[i]) >> 1 + aR = baseOddMultiples[idxM] + if nafM[i] < 0 { + aR.neg() + } + P.mixadd(P, &aR) + } + // Input point + if nafN[i] != 0 { + idxN := absolute(nafN[i]) >> 1 + jR = TabQ[idxN] + if nafN[i] < 0 { + jR.neg() + } + P.add(P, &jR) + } + } + return P.toAffine().toInt() +} + +// absolute returns always a positive value. +func absolute(x int32) int32 { + mask := x >> 31 + return (x + mask) ^ mask +} diff --git a/src/circl/ecc/p384/point.go b/src/circl/ecc/p384/point.go index 26a34d1738a..dca9c618b5c 100644 --- a/src/circl/ecc/p384/point.go +++ b/src/circl/ecc/p384/point.go @@ -1,4 +1,4 @@ -// +build arm64 amd64 +// +build !noasm,arm64 !noasm,amd64 package p384 diff --git a/src/circl/ecc/p384/point_test.go b/src/circl/ecc/p384/point_test.go index da40d8f8b64..d2cc0e2cd5f 100644 --- a/src/circl/ecc/p384/point_test.go +++ b/src/circl/ecc/p384/point_test.go @@ -1,4 +1,4 @@ -// +build arm64 amd64 +// +build !noasm,arm64 !noasm,amd64 package p384 diff --git a/src/circl/ecc/p384/tableBase.go b/src/circl/ecc/p384/tableBase.go index 948d72da0ef..f59b1406563 100644 --- a/src/circl/ecc/p384/tableBase.go +++ b/src/circl/ecc/p384/tableBase.go @@ -1,4 +1,4 @@ -// +build arm64 amd64 +// +build !noasm,arm64 !noasm,amd64 package p384 diff --git a/src/circl/group/group.go b/src/circl/group/group.go new file mode 100644 index 00000000000..390a8e1bce5 --- /dev/null +++ b/src/circl/group/group.go @@ -0,0 +1,64 @@ +// Package group provides prime-order groups based on elliptic curves. +package group + +import ( + "crypto/elliptic" + "encoding" + "errors" + "io" + + "circl/ecc/p384" +) + +var ( + // P256 is the group generated by P-256 elliptic curve. + P256 Group = wG{elliptic.P256()} + // P384 is the group generated by P-384 elliptic curve. + P384 Group = wG{p384.P384()} + // P521 is the group generated by P-521 elliptic curve. + P521 Group = wG{elliptic.P521()} +) + +// Group represents a prime-order group based on elliptic curves. +type Group interface { + NewElement() Element + NewScalar() Scalar + Identity() Element + Generator() Element + Order() Scalar + RandomElement(io.Reader) Element + RandomScalar(io.Reader) Scalar + HashToElement(data, dst []byte) Element + HashToScalar(data, dst []byte) Scalar +} + +// Element represents an abstract element of a prime-order group. +type Element interface { + IsIdentity() bool + IsEqual(Element) bool + Add(Element, Element) Element + Dbl(Element) Element + Neg(Element) Element + Mul(Element, Scalar) Element + MulGen(Scalar) Element + encoding.BinaryMarshaler + encoding.BinaryUnmarshaler + MarshalBinaryCompress() ([]byte, error) +} + +// Scalar represents an integer scalar. +type Scalar interface { + IsEqual(Scalar) bool + Add(Scalar, Scalar) Scalar + Sub(Scalar, Scalar) Scalar + Mul(Scalar, Scalar) Scalar + Neg(Scalar) Scalar + Inv(Scalar) Scalar + encoding.BinaryMarshaler + encoding.BinaryUnmarshaler +} + +var ( + ErrType = errors.New("type mismatch") + ErrUnmarshal = errors.New("error unmarshaling") +) diff --git a/src/circl/group/group_test.go b/src/circl/group/group_test.go new file mode 100644 index 00000000000..ec5a8cb4b82 --- /dev/null +++ b/src/circl/group/group_test.go @@ -0,0 +1,254 @@ +package group_test + +import ( + "bytes" + "crypto/rand" + "fmt" + "testing" + + "circl/group" + "circl/internal/test" +) + +func TestGroup(t *testing.T) { + const testTimes = 1 << 7 + for _, g := range []group.Group{ + group.P256, + group.P384, + group.P521, + } { + g := g + n := g.(fmt.Stringer).String() + t.Run(n+"/Add", func(tt *testing.T) { testAdd(tt, testTimes, g) }) + t.Run(n+"/Neg", func(tt *testing.T) { testNeg(tt, testTimes, g) }) + t.Run(n+"/Mul", func(tt *testing.T) { testMul(tt, testTimes, g) }) + t.Run(n+"/MulGen", func(tt *testing.T) { testMulGen(tt, testTimes, g) }) + t.Run(n+"/Order", func(tt *testing.T) { testOrder(tt, testTimes, g) }) + t.Run(n+"/Marshal", func(tt *testing.T) { testMarshal(tt, testTimes, g) }) + t.Run(n+"/Scalar", func(tt *testing.T) { testScalar(tt, testTimes, g) }) + } +} + +func testAdd(t *testing.T, testTimes int, g group.Group) { + Q := g.NewElement() + for i := 0; i < testTimes; i++ { + P := g.RandomElement(rand.Reader) + + got := Q.Dbl(P).Dbl(Q).Dbl(Q).Dbl(Q) // Q = 16P + + R := g.Identity() + for j := 0; j < 16; j++ { + R.Add(R, P) + } + want := R // R = 16P = P+P...+P + if !got.IsEqual(want) { + test.ReportError(t, got, want, P) + } + } +} + +func testNeg(t *testing.T, testTimes int, g group.Group) { + Q := g.NewElement() + for i := 0; i < testTimes; i++ { + P := g.RandomElement(rand.Reader) + Q.Neg(P) + Q.Add(Q, P) + got := Q.IsIdentity() + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } +} + +func testMul(t *testing.T, testTimes int, g group.Group) { + Q := g.NewElement() + kInv := g.NewScalar() + for i := 0; i < testTimes; i++ { + P := g.RandomElement(rand.Reader) + k := g.RandomScalar(rand.Reader) + kInv.Inv(k) + + Q.Mul(P, k) + Q.Mul(Q, kInv) + + got := P + want := Q + if !got.IsEqual(want) { + test.ReportError(t, got, want, P, k) + } + } +} + +func testMulGen(t *testing.T, testTimes int, g group.Group) { + G := g.Generator() + P := g.NewElement() + Q := g.NewElement() + for i := 0; i < testTimes; i++ { + k := g.RandomScalar(rand.Reader) + + P.Mul(G, k) + Q.MulGen(k) + + got := P + want := Q + if !got.IsEqual(want) { + test.ReportError(t, got, want, P, k) + } + } +} + +func testOrder(t *testing.T, testTimes int, g group.Group) { + Q := g.NewElement() + order := g.Order() + for i := 0; i < testTimes; i++ { + P := g.RandomElement(rand.Reader) + + Q.Mul(P, order) + got := Q.IsIdentity() + want := true + if got != want { + test.ReportError(t, got, want, P) + } + } +} + +func testMarshal(t *testing.T, testTimes int, g group.Group) { + I := g.Identity() + got, _ := I.MarshalBinary() + want := []byte{0} + if !bytes.Equal(got, want) { + test.ReportError(t, got, want) + } + got, _ = I.MarshalBinaryCompress() + if !bytes.Equal(got, want) { + test.ReportError(t, got, want) + } + II := g.NewElement() + err := II.UnmarshalBinary(got) + if err != nil || !I.IsEqual(II) { + test.ReportError(t, I, II) + } + + got1 := g.NewElement() + got2 := g.NewElement() + for i := 0; i < testTimes; i++ { + x := g.RandomElement(rand.Reader) + enc1, _ := x.MarshalBinary() + enc2, _ := x.MarshalBinaryCompress() + + err1 := got1.UnmarshalBinary(enc1) + err2 := got2.UnmarshalBinary(enc2) + if err1 != nil || !x.IsEqual(got1) { + test.ReportError(t, got1, x) + } + if err2 != nil || !x.IsEqual(got2) { + test.ReportError(t, got2, x) + } + } +} + +func testScalar(t *testing.T, testTimes int, g group.Group) { + c := g.NewScalar() + d := g.NewScalar() + e := g.NewScalar() + f := g.NewScalar() + for i := 0; i < testTimes; i++ { + a := g.RandomScalar(rand.Reader) + b := g.RandomScalar(rand.Reader) + c.Add(a, b) + d.Sub(a, b) + e.Mul(c, d) + + c.Mul(a, a) + d.Mul(b, b) + d.Neg(d) + f.Add(c, d) + enc1, err1 := e.MarshalBinary() + enc2, err2 := f.MarshalBinary() + if err1 != nil || err2 != nil || !bytes.Equal(enc1, enc2) { + test.ReportError(t, enc1, enc2, a, b) + } + } +} + +func BenchmarkElement(b *testing.B) { + for _, g := range []group.Group{ + group.P256, + group.P384, + group.P521, + } { + x := g.RandomElement(rand.Reader) + y := g.RandomElement(rand.Reader) + n := g.RandomScalar(rand.Reader) + name := g.(fmt.Stringer).String() + b.Run(name+"/Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + x.Add(x, y) + } + }) + b.Run(name+"/Dbl", func(b *testing.B) { + for i := 0; i < b.N; i++ { + x.Dbl(x) + } + }) + b.Run(name+"/Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + y.Mul(x, n) + } + }) + b.Run(name+"/MulGen", func(b *testing.B) { + for i := 0; i < b.N; i++ { + x.MulGen(n) + } + }) + } +} + +func BenchmarkScalar(b *testing.B) { + for _, g := range []group.Group{ + group.P256, + group.P384, + group.P521, + } { + x := g.RandomScalar(rand.Reader) + y := g.RandomScalar(rand.Reader) + name := g.(fmt.Stringer).String() + b.Run(name+"/Add", func(b *testing.B) { + for i := 0; i < b.N; i++ { + x.Add(x, y) + } + }) + b.Run(name+"/Mul", func(b *testing.B) { + for i := 0; i < b.N; i++ { + x.Mul(x, y) + } + }) + b.Run(name+"/Inv", func(b *testing.B) { + for i := 0; i < b.N; i++ { + y.Inv(x) + } + }) + } +} + +func BenchmarkHash(b *testing.B) { + for _, g := range []group.Group{ + group.P256, + group.P384, + group.P521, + } { + g := g + name := g.(fmt.Stringer).String() + b.Run(name+"/HashToElement", func(b *testing.B) { + for i := 0; i < b.N; i++ { + g.HashToElement(nil, nil) + } + }) + b.Run(name+"/HashToScalar", func(b *testing.B) { + for i := 0; i < b.N; i++ { + g.HashToScalar(nil, nil) + } + }) + } +} diff --git a/src/circl/group/hash.go b/src/circl/group/hash.go new file mode 100644 index 00000000000..e439771553f --- /dev/null +++ b/src/circl/group/hash.go @@ -0,0 +1,90 @@ +package group + +import ( + "crypto" + "math/big" +) + +// FieldHasher allows to hash byte strings producing one or more field elements. +type FieldHasher interface { + // HashToField generates a set of elements {u1,..., uN} = Hash(b). + HashToField(u []big.Int, b []byte) +} + +type expanderXMD struct { + h crypto.Hash + p *big.Int + L uint + dst []byte +} + +// NewExpanderMD returns a hash function based on a Merkle-Damgård hash function. +func NewExpanderMD(h crypto.Hash, p *big.Int, L uint, dst []byte) FieldHasher { + const maxDSTLength = 255 + var dstPrime []byte + if l := len(dst); l > maxDSTLength { + H := h.New() + _, _ = H.Write([]byte("H2C-OVERSIZE-DST-")) + _, _ = H.Write(dst) + dstPrime = H.Sum(nil) + } else { + dstPrime = make([]byte, l, l+1) + copy(dstPrime, dst) + } + dstPrime = append(dstPrime, byte(len(dstPrime))) + return expanderXMD{h, p, L, dstPrime} +} + +func (e expanderXMD) HashToField(u []big.Int, b []byte) { + count := uint(len(u)) + bytes := e.expand(b, count*e.L) + for i := range u { + j := uint(i) * e.L + u[i].Mod(u[i].SetBytes(bytes[j:j+e.L]), e.p) + } +} + +func (e expanderXMD) expand(msg []byte, n uint) []byte { + H := e.h.New() + bLen := uint(H.Size()) + ell := (n + (bLen - 1)) / bLen + if ell > 255 { + panic("too big") + } + + zPad := make([]byte, H.BlockSize()) + libStr := []byte{0, 0} + libStr[0] = byte((n >> 8) & 0xFF) + libStr[1] = byte(n & 0xFF) + + H.Reset() + _, _ = H.Write(zPad) + _, _ = H.Write(msg) + _, _ = H.Write(libStr) + _, _ = H.Write([]byte{0}) + _, _ = H.Write(e.dst) + b0 := H.Sum(nil) + + H.Reset() + _, _ = H.Write(b0) + _, _ = H.Write([]byte{1}) + _, _ = H.Write(e.dst) + bi := H.Sum(nil) + pseudo := append([]byte{}, bi...) + for i := uint(2); i <= ell; i++ { + H.Reset() + _, _ = H.Write(xor(bi, b0)) + _, _ = H.Write([]byte{byte(i)}) + _, _ = H.Write(e.dst) + bi = H.Sum(nil) + pseudo = append(pseudo, bi...) + } + return pseudo[0:n] +} + +func xor(x, y []byte) []byte { + for i := range x { + x[i] ^= y[i] + } + return x +} diff --git a/src/circl/group/short.go b/src/circl/group/short.go new file mode 100644 index 00000000000..00060ba081c --- /dev/null +++ b/src/circl/group/short.go @@ -0,0 +1,335 @@ +package group + +import ( + "crypto" + "crypto/elliptic" + _ "crypto/sha256" // to link libraries + _ "crypto/sha512" // to link libraries + "crypto/subtle" + "fmt" + "io" + "math/big" +) + +type wG struct { + elliptic.Curve +} + +func (g wG) String() string { return g.Params().Name } +func (g wG) NewElement() Element { return g.Identity() } +func (g wG) NewScalar() Scalar { return &wScl{g, nil} } +func (g wG) Identity() Element { return &wElt{g, new(big.Int), new(big.Int)} } +func (g wG) Generator() Element { return &wElt{g, g.Params().Gx, g.Params().Gy} } +func (g wG) Order() Scalar { s := &wScl{g, nil}; s.fromBig(g.Params().N); return s } +func (g wG) RandomElement(rd io.Reader) Element { + b := make([]byte, (g.Params().BitSize+7)/8) + _, _ = io.ReadFull(rd, b) + return g.HashToElement(b, nil) +} +func (g wG) RandomScalar(rd io.Reader) Scalar { + b := make([]byte, (g.Params().BitSize+7)/8) + _, _ = io.ReadFull(rd, b) + return g.HashToScalar(b, nil) +} +func (g wG) getHasher(dst []byte) wHash { + var Z, C2 big.Int + var h crypto.Hash + var L uint + switch g.Params().BitSize { + case 256: + Z.SetInt64(-10) + C2.SetString("0x78bc71a02d89ec07214623f6d0f955072c7cc05604a5a6e23ffbf67115fa5301", 0) + h = crypto.SHA256 + L = 48 + case 384: + Z.SetInt64(-12) + C2.SetString("0x19877cc1041b7555743c0ae2e3a3e61fb2aaa2e0e87ea557a563d8b598a0940d0a697a9e0b9e92cfaa314f583c9d066", 0) + h = crypto.SHA512 + L = 72 + case 521: + Z.SetInt64(-4) + C2.SetInt64(8) + h = crypto.SHA512 + L = 98 + default: + panic("curve not supported") + } + return wHash{ + sswu3mod4{g, &Z, &C2}, + NewExpanderMD(h, g.Params().P, L, dst), + NewExpanderMD(h, g.Params().N, L, dst), + } +} +func (g wG) cvtElt(e Element) *wElt { + ee, ok := e.(*wElt) + if !ok || g.Params().BitSize != ee.Params().BitSize { + panic(ErrType) + } + return ee +} +func (g wG) cvtScl(s Scalar) *wScl { + ss, ok := s.(*wScl) + if !ok || g.Params().BitSize != ss.Params().BitSize { + panic(ErrType) + } + return ss +} + +type wElt struct { + wG + x, y *big.Int +} + +func (e *wElt) String() string { return fmt.Sprintf("x: 0x%v\ny: 0x%v", e.x.Text(16), e.y.Text(16)) } +func (e *wElt) IsIdentity() bool { return e.x.Sign() == 0 && e.y.Sign() == 0 } +func (e *wElt) IsEqual(o Element) bool { + oo := e.cvtElt(o) + return e.x.Cmp(oo.x) == 0 && e.y.Cmp(oo.y) == 0 +} +func (e *wElt) Add(a, b Element) Element { + aa, bb := e.cvtElt(a), e.cvtElt(b) + e.x, e.y = e.Curve.Add(aa.x, aa.y, bb.x, bb.y) + return e +} +func (e *wElt) Dbl(a Element) Element { + aa := e.cvtElt(a) + e.x, e.y = e.Curve.Double(aa.x, aa.y) + return e +} +func (e *wElt) Neg(a Element) Element { + aa := e.cvtElt(a) + e.x.Set(aa.x) + e.y.Neg(aa.y) + return e +} +func (e *wElt) Mul(a Element, s Scalar) Element { + aa, ss := e.cvtElt(a), e.cvtScl(s) + e.x, e.y = e.ScalarMult(aa.x, aa.y, ss.k) + return e +} +func (e *wElt) MulGen(s Scalar) Element { + ss := e.cvtScl(s) + e.x, e.y = e.ScalarBaseMult(ss.k) + return e +} +func (e *wElt) MarshalBinary() ([]byte, error) { + if e.IsIdentity() { + return []byte{0x0}, nil + } + return elliptic.Marshal(e.wG, e.x, e.y), nil +} +func (e *wElt) MarshalBinaryCompress() ([]byte, error) { + if e.IsIdentity() { + return []byte{0x0}, nil + } + l := (e.Params().BitSize + 7) / 8 + data := make([]byte, 1+l) + bytes := e.x.Bytes() + copy(data[1+l-len(bytes):], bytes) + data[0] = 0x02 | byte(e.y.Bit(0)) + return data, nil +} +func (e *wElt) UnmarshalBinary(b []byte) error { + byteLen := (e.Params().BitSize + 7) / 8 + l := len(b) + switch { + case l == 1 && b[0] == 0x00: // point at infinity + e.x.SetInt64(0) + e.y.SetInt64(0) + case l == 1+byteLen && (b[0] == 0x02 || b[0] == 0x03): // compressed + p := e.wG.Params().P + x := new(big.Int).SetBytes(b[1:]) + y := new(big.Int) + y.Mul(x, x) // x^2 + y.Mul(y, x) // x^3 + y.Sub(y, x) // x^3-x + y.Sub(y, x) // x^3-2x + y.Sub(y, x) // x^3-3x + y.Add(y, e.wG.Params().B) // x^3-3x+b + y.Mod(y, p) // + qr := y.ModSqrt(y, p) // sqrt(x^3-3x+b) + if qr == nil { + return ErrUnmarshal + } + if byte(y.Bit(0)) != (b[0] & 1) { + y.Neg(y).Mod(y, p) + } + e.x, e.y = x, y + case l == 1+2*byteLen && b[0] == 0x04: // uncompressed + x, y := elliptic.Unmarshal(e.wG, b) + if x == nil { + return ErrUnmarshal + } + e.x, e.y = x, y + default: + return ErrUnmarshal + } + return nil +} + +type wScl struct { + wG + k []byte +} + +func (s *wScl) String() string { return fmt.Sprintf("0x%x", s.k) } +func (s *wScl) IsEqual(a Scalar) bool { + aa := s.cvtScl(a) + return subtle.ConstantTimeCompare(s.k, aa.k) == 1 +} +func (s *wScl) fromBig(b *big.Int) { + _ = s.UnmarshalBinary(b.Bytes()) +} +func (s *wScl) Add(a, b Scalar) Scalar { + aa, bb := s.cvtScl(a), s.cvtScl(b) + r := new(big.Int) + r.SetBytes(aa.k).Add(r, new(big.Int).SetBytes(bb.k)).Mod(r, s.Params().N) + s.fromBig(r) + return s +} +func (s *wScl) Sub(a, b Scalar) Scalar { + aa, bb := s.cvtScl(a), s.cvtScl(b) + r := new(big.Int) + r.SetBytes(aa.k).Sub(r, new(big.Int).SetBytes(bb.k)).Mod(r, s.Params().N) + s.fromBig(r) + return s +} +func (s *wScl) Mul(a, b Scalar) Scalar { + aa, bb := s.cvtScl(a), s.cvtScl(b) + r := new(big.Int) + r.SetBytes(aa.k).Mul(r, new(big.Int).SetBytes(bb.k)).Mod(r, s.Params().N) + s.fromBig(r) + return s +} +func (s *wScl) Neg(a Scalar) Scalar { + aa := s.cvtScl(a) + r := new(big.Int) + r.SetBytes(aa.k).Neg(r).Mod(r, s.Params().N) + s.fromBig(r) + return s +} +func (s *wScl) Inv(a Scalar) Scalar { + aa := s.cvtScl(a) + r := new(big.Int) + r.SetBytes(aa.k).ModInverse(r, s.Params().N) + s.fromBig(r) + return s +} +func (s *wScl) MarshalBinary() (data []byte, err error) { + data = make([]byte, (s.Params().BitSize+7)/8) + copy(data, s.k) + return data, nil +} +func (s *wScl) UnmarshalBinary(b []byte) error { + l := (s.Params().BitSize + 7) / 8 + s.k = make([]byte, l) + copy(s.k[l-len(b):l], b) + return nil +} + +type wHash struct { + sswu3mod4 + elt FieldHasher + scl FieldHasher +} + +func (g wG) HashToElement(b, dst []byte) Element { + var u [2]big.Int + h := g.getHasher(dst) + h.elt.HashToField(u[:], b) + Q0 := h.Map(&u[0]) + Q1 := h.Map(&u[1]) + return Q0.Add(Q0, Q1) +} + +func (g wG) HashToScalar(b, dst []byte) Scalar { + var u [1]big.Int + h := g.getHasher(dst) + h.scl.HashToField(u[:], b) + s := g.NewScalar().(*wScl) + s.fromBig(&u[0]) + return s +} + +type sswu3mod4 struct { + wG + Z *big.Int + C2 *big.Int // c2 = sqrt(-Z^3) +} + +func (s sswu3mod4) Map(u *big.Int) Element { + tv1 := new(big.Int) + tv2 := new(big.Int) + tv3 := new(big.Int) + tv4 := new(big.Int) + xn := new(big.Int) + xd := new(big.Int) + x1n := new(big.Int) + x2n := new(big.Int) + gx1 := new(big.Int) + gxd := new(big.Int) + y1 := new(big.Int) + y2 := new(big.Int) + x := new(big.Int) + y := new(big.Int) + + A := big.NewInt(-3) + B := s.Params().B + p := s.Params().P + c1 := new(big.Int) + c1.Sub(p, big.NewInt(3)).Rsh(c1, 2) // 1. c1 = (q - 3) / 4 + + add := func(c, a, b *big.Int) { c.Add(a, b).Mod(c, p) } + mul := func(c, a, b *big.Int) { c.Mul(a, b).Mod(c, p) } + sqr := func(c, a *big.Int) { c.Mul(a, a).Mod(c, p) } + exp := func(c, a, b *big.Int) { c.Exp(a, b, p) } + sgn := func(a *big.Int) uint { a.Mod(a, p); return a.Bit(0) } + cmv := func(c, a, b *big.Int, k bool) { + if k { + c.Set(b) + } else { + c.Set(a) + } + } + + sqr(tv1, u) // 1. tv1 = u^2 + mul(tv3, s.Z, tv1) // 2. tv3 = Z * tv1 + sqr(tv2, tv3) // 3. tv2 = tv3^2 + add(xd, tv2, tv3) // 4. xd = tv2 + tv3 + add(x1n, xd, big.NewInt(1)) // 5. x1n = xd + 1 + mul(x1n, x1n, B) // 6. x1n = x1n * B + tv4.Neg(A) // + mul(xd, tv4, xd) // 7. xd = -A * xd + e1 := xd.Sign() == 0 // 8. e1 = xd == 0 + mul(tv4, s.Z, A) // + cmv(xd, xd, tv4, e1) // 9. xd = CMOV(xd, Z * A, e1) + sqr(tv2, xd) // 10. tv2 = xd^2 + mul(gxd, tv2, xd) // 11. gxd = tv2 * xd + mul(tv2, A, tv2) // 12. tv2 = A * tv2 + sqr(gx1, x1n) // 13. gx1 = x1n^2 + add(gx1, gx1, tv2) // 14. gx1 = gx1 + tv2 + mul(gx1, gx1, x1n) // 15. gx1 = gx1 * x1n + mul(tv2, B, gxd) // 16. tv2 = B * gxd + add(gx1, gx1, tv2) // 17. gx1 = gx1 + tv2 + sqr(tv4, gxd) // 18. tv4 = gxd^2 + mul(tv2, gx1, gxd) // 19. tv2 = gx1 * gxd + mul(tv4, tv4, tv2) // 20. tv4 = tv4 * tv2 + exp(y1, tv4, c1) // 21. y1 = tv4^c1 + mul(y1, y1, tv2) // 22. y1 = y1 * tv2 + mul(x2n, tv3, x1n) // 23. x2n = tv3 * x1n + mul(y2, y1, s.C2) // 24. y2 = y1 * c2 + mul(y2, y2, tv1) // 25. y2 = y2 * tv1 + mul(y2, y2, u) // 26. y2 = y2 * u + sqr(tv2, y1) // 27. tv2 = y1^2 + mul(tv2, tv2, gxd) // 28. tv2 = tv2 * gxd + e2 := tv2.Cmp(gx1) == 0 // 29. e2 = tv2 == gx1 + cmv(xn, x2n, x1n, e2) // 30. xn = CMOV(x2n, x1n, e2) + cmv(y, y2, y1, e2) // 31. y = CMOV(y2, y1, e2) + e3 := sgn(u) == sgn(y) // 32. e3 = sgn0(u) == sgn0(y) + tv1.Neg(y) // + cmv(y, tv1, y, e3) // 33. y = CMOV(-y, y, e3) + tv1.ModInverse(xd, p) // + mul(x, xn, tv1) // 34. return (xn, xd, y, 1) + y.Mod(y, p) + return &wElt{s.wG, x, y} +} diff --git a/src/circl/internal/sha3/doc.go b/src/circl/internal/sha3/doc.go new file mode 100644 index 00000000000..c06a330ff96 --- /dev/null +++ b/src/circl/internal/sha3/doc.go @@ -0,0 +1,66 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package sha3 implements the SHA-3 fixed-output-length hash functions and +// the SHAKE variable-output-length hash functions defined by FIPS-202. +// +// Both types of hash function use the "sponge" construction and the Keccak +// permutation. For a detailed specification see http://keccak.noekeon.org/ +// +// +// Guidance +// +// If you aren't sure what function you need, use SHAKE256 with at least 64 +// bytes of output. The SHAKE instances are faster than the SHA3 instances; +// the latter have to allocate memory to conform to the hash.Hash interface. +// +// If you need a secret-key MAC (message authentication code), prepend the +// secret key to the input, hash with SHAKE256 and read at least 32 bytes of +// output. +// +// +// Security strengths +// +// The SHA3-x (x equals 224, 256, 384, or 512) functions have a security +// strength against preimage attacks of x bits. Since they only produce "x" +// bits of output, their collision-resistance is only "x/2" bits. +// +// The SHAKE-256 and -128 functions have a generic security strength of 256 and +// 128 bits against all attacks, provided that at least 2x bits of their output +// is used. Requesting more than 64 or 32 bytes of output, respectively, does +// not increase the collision-resistance of the SHAKE functions. +// +// +// The sponge construction +// +// A sponge builds a pseudo-random function from a public pseudo-random +// permutation, by applying the permutation to a state of "rate + capacity" +// bytes, but hiding "capacity" of the bytes. +// +// A sponge starts out with a zero state. To hash an input using a sponge, up +// to "rate" bytes of the input are XORed into the sponge's state. The sponge +// is then "full" and the permutation is applied to "empty" it. This process is +// repeated until all the input has been "absorbed". The input is then padded. +// The digest is "squeezed" from the sponge in the same way, except that output +// is copied out instead of input being XORed in. +// +// A sponge is parameterized by its generic security strength, which is equal +// to half its capacity; capacity + rate is equal to the permutation's width. +// Since the KeccakF-1600 permutation is 1600 bits (200 bytes) wide, this means +// that the security strength of a sponge instance is equal to (1600 - bitrate) / 2. +// +// +// Recommendations +// +// The SHAKE functions are recommended for most new uses. They can produce +// output of arbitrary length. SHAKE256, with an output length of at least +// 64 bytes, provides 256-bit security against all attacks. The Keccak team +// recommends it for most applications upgrading from SHA2-512. (NIST chose a +// much stronger, but much slower, sponge instance for SHA3-512.) +// +// The SHA-3 functions are "drop-in" replacements for the SHA-2 functions. +// They produce output of the same length, with the same security strengths +// against all attacks. This means, in particular, that SHA3-256 only has +// 128-bit collision resistance, because its output length is 32 bytes. +package sha3 diff --git a/src/circl/internal/sha3/hashes.go b/src/circl/internal/sha3/hashes.go new file mode 100644 index 00000000000..7d2365a76ed --- /dev/null +++ b/src/circl/internal/sha3/hashes.go @@ -0,0 +1,69 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file provides functions for creating instances of the SHA-3 +// and SHAKE hash functions, as well as utility functions for hashing +// bytes. + +// New224 creates a new SHA3-224 hash. +// Its generic security strength is 224 bits against preimage attacks, +// and 112 bits against collision attacks. +func New224() State { + return State{rate: 144, outputLen: 28, dsbyte: 0x06} +} + +// New256 creates a new SHA3-256 hash. +// Its generic security strength is 256 bits against preimage attacks, +// and 128 bits against collision attacks. +func New256() State { + return State{rate: 136, outputLen: 32, dsbyte: 0x06} +} + +// New384 creates a new SHA3-384 hash. +// Its generic security strength is 384 bits against preimage attacks, +// and 192 bits against collision attacks. +func New384() State { + return State{rate: 104, outputLen: 48, dsbyte: 0x06} +} + +// New512 creates a new SHA3-512 hash. +// Its generic security strength is 512 bits against preimage attacks, +// and 256 bits against collision attacks. +func New512() State { + return State{rate: 72, outputLen: 64, dsbyte: 0x06} +} + +// Sum224 returns the SHA3-224 digest of the data. +func Sum224(data []byte) (digest [28]byte) { + h := New224() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum256 returns the SHA3-256 digest of the data. +func Sum256(data []byte) (digest [32]byte) { + h := New256() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum384 returns the SHA3-384 digest of the data. +func Sum384(data []byte) (digest [48]byte) { + h := New384() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} + +// Sum512 returns the SHA3-512 digest of the data. +func Sum512(data []byte) (digest [64]byte) { + h := New512() + _, _ = h.Write(data) + h.Sum(digest[:0]) + return +} diff --git a/src/circl/internal/shake/keccakf.go b/src/circl/internal/sha3/keccakf.go similarity index 99% rename from src/circl/internal/shake/keccakf.go rename to src/circl/internal/sha3/keccakf.go index bc8fed362e3..3c5d278fdee 100644 --- a/src/circl/internal/shake/keccakf.go +++ b/src/circl/internal/sha3/keccakf.go @@ -4,7 +4,7 @@ // +build !amd64 appengine gccgo -package shake +package sha3 // KeccakF1600 applies the Keccak permutation to a 1600b-wide // state represented as a slice of 25 uint64s. diff --git a/src/circl/internal/shake/keccakf_amd64.go b/src/circl/internal/sha3/keccakf_amd64.go similarity index 84% rename from src/circl/internal/shake/keccakf_amd64.go rename to src/circl/internal/sha3/keccakf_amd64.go index 3a0a9185200..107d04a8a10 100644 --- a/src/circl/internal/shake/keccakf_amd64.go +++ b/src/circl/internal/sha3/keccakf_amd64.go @@ -4,10 +4,10 @@ // +build amd64,!appengine,!gccgo -package shake +package sha3 // This function is implemented in keccakf_amd64.s. //go:noescape -func KeccakF1600(a *[25]uint64) +func KeccakF1600(state *[25]uint64) diff --git a/src/circl/internal/shake/keccakf_amd64.s b/src/circl/internal/sha3/keccakf_amd64.s similarity index 99% rename from src/circl/internal/shake/keccakf_amd64.s rename to src/circl/internal/sha3/keccakf_amd64.s index bffb16a72e9..8589363a435 100644 --- a/src/circl/internal/shake/keccakf_amd64.s +++ b/src/circl/internal/sha3/keccakf_amd64.s @@ -319,9 +319,9 @@ MOVQ rDi, _si(oState); \ MOVQ rDo, _so(oState) \ -// func KeccakF1600(a *[25]uint64) +// func KeccakF1600(state *[25]uint64) TEXT ·KeccakF1600(SB), 0, $200-8 - MOVQ a+0(FP), rpState + MOVQ state+0(FP), rpState // Convert the user state into an internal state NOTQ _be(rpState) diff --git a/src/circl/internal/sha3/rc.go b/src/circl/internal/sha3/rc.go new file mode 100644 index 00000000000..6a3df42f305 --- /dev/null +++ b/src/circl/internal/sha3/rc.go @@ -0,0 +1,29 @@ +package sha3 + +// RC stores the round constants for use in the ι step. +var RC = [24]uint64{ + 0x0000000000000001, + 0x0000000000008082, + 0x800000000000808A, + 0x8000000080008000, + 0x000000000000808B, + 0x0000000080000001, + 0x8000000080008081, + 0x8000000000008009, + 0x000000000000008A, + 0x0000000000000088, + 0x0000000080008009, + 0x000000008000000A, + 0x000000008000808B, + 0x800000000000008B, + 0x8000000000008089, + 0x8000000000008003, + 0x8000000000008002, + 0x8000000000000080, + 0x000000000000800A, + 0x800000008000000A, + 0x8000000080008081, + 0x8000000000008080, + 0x0000000080000001, + 0x8000000080008008, +} diff --git a/src/circl/internal/shake/sha3.go b/src/circl/internal/sha3/sha3.go similarity index 72% rename from src/circl/internal/shake/sha3.go rename to src/circl/internal/sha3/sha3.go index c63f384b1c9..e688054370b 100644 --- a/src/circl/internal/shake/sha3.go +++ b/src/circl/internal/sha3/sha3.go @@ -2,9 +2,7 @@ // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. -package shake - -import "hash" +package sha3 // spongeDirection indicates the direction bytes are flowing through the sponge. type spongeDirection int @@ -22,11 +20,11 @@ const ( maxRate = 168 ) -type Shake struct { +type State struct { // Generic sponge components. - a [25]uint64 // main state of the hash - bufo, bufe int - rate int // the number of bytes of state to use + a [25]uint64 // main state of the hash + buf []byte // points into storage + rate int // the number of bytes of state to use // dsbyte contains the "domain separation" bits and the first bit of // the padding. Sections 6.1 and 6.2 of [1] separate the outputs of the @@ -40,7 +38,8 @@ type Shake struct { // [1] http://csrc.nist.gov/publications/drafts/fips-202/fips_202_draft.pdf // "Draft FIPS 202: SHA-3 Standard: Permutation-Based Hash and // Extendable-Output Functions (May 2014)" - dsbyte byte + dsbyte byte + storage storageBuf // Specific to SHA-3 and SHAKE. @@ -49,101 +48,107 @@ type Shake struct { } // BlockSize returns the rate of sponge underlying this hash function. -func (d *Shake) BlockSize() int { return d.rate } +func (d *State) BlockSize() int { return d.rate } // Size returns the output size of the hash function in bytes. -func (d *Shake) Size() int { return d.outputLen } +func (d *State) Size() int { return d.outputLen } // Reset clears the internal state by zeroing the sponge state and // the byte buffer, and setting Sponge.state to absorbing. -func (d *Shake) Reset() { +func (d *State) Reset() { // Zero the permutation's state. for i := range d.a { d.a[i] = 0 } d.state = spongeAbsorbing - d.bufo = 0 - d.bufe = 0 + d.buf = d.storage.asBytes()[:0] } -func (d *Shake) Clone() (ret Shake) { - return *d +func (d *State) clone() *State { + ret := *d + if ret.state == spongeAbsorbing { + ret.buf = ret.storage.asBytes()[:len(ret.buf)] + } else { + ret.buf = ret.storage.asBytes()[d.rate-cap(d.buf) : d.rate] + } + + return &ret } // permute applies the KeccakF-1600 permutation. It handles // any input-output buffering. -func (d *Shake) permute() { +func (d *State) permute() { switch d.state { case spongeAbsorbing: // If we're absorbing, we need to xor the input into the state // before applying the permutation. - xorIn(d, d.storage.asBytes()[d.bufo:d.bufe]) - d.bufe = 0 - d.bufo = 0 + xorIn(d, d.buf) + d.buf = d.storage.asBytes()[:0] KeccakF1600(&d.a) case spongeSqueezing: // If we're squeezing, we need to apply the permutation before // copying more output. KeccakF1600(&d.a) - d.bufo = 0 - d.bufe = d.rate - copyOut(d, d.storage.asBytes()[:d.rate]) + d.buf = d.storage.asBytes()[:d.rate] + copyOut(d, d.buf) } } // pads appends the domain separation bits in dsbyte, applies // the multi-bitrate 10..1 padding rule, and permutes the state. -func (d *Shake) padAndPermute(dsbyte byte) { +func (d *State) padAndPermute(dsbyte byte) { + if d.buf == nil { + d.buf = d.storage.asBytes()[:0] + } // Pad with this instance's domain-separator bits. We know that there's // at least one byte of space in d.buf because, if it were full, // permute would have been called to empty it. dsbyte also contains the // first one bit for the padding. See the comment in the state struct. - d.storage.asBytes()[d.bufe] = dsbyte - d.bufe++ - zerosStart := d.bufe - d.bufo - d.bufo = 0 - d.bufe = d.rate + d.buf = append(d.buf, dsbyte) + zerosStart := len(d.buf) + d.buf = d.storage.asBytes()[:d.rate] for i := zerosStart; i < d.rate; i++ { - d.storage.asBytes()[i] = 0 + d.buf[i] = 0 } // This adds the final one bit for the padding. Because of the way that // bits are numbered from the LSB upwards, the final bit is the MSB of // the last byte. - d.storage.asBytes()[d.rate-1] ^= 0x80 + d.buf[d.rate-1] ^= 0x80 // Apply the permutation d.permute() d.state = spongeSqueezing - d.bufo = 0 - d.bufe = d.rate - copyOut(d, d.storage.asBytes()[:d.rate]) + d.buf = d.storage.asBytes()[:d.rate] + copyOut(d, d.buf) } // Write absorbs more data into the hash's state. It produces an error -// if more data is written to the ShakeHash after writing. -func (d *Shake) Write(p []byte) (int, error) { +// if more data is written to the ShakeHash after writing +func (d *State) Write(p []byte) (written int, err error) { if d.state != spongeAbsorbing { - panic("shake: write to sponge after read") + panic("sha3: write to sponge after read") + } + if d.buf == nil { + d.buf = d.storage.asBytes()[:0] } - written := len(p) + written = len(p) for len(p) > 0 { - if d.bufe == d.bufo && len(p) >= d.rate { + if len(d.buf) == 0 && len(p) >= d.rate { // The fast path; absorb a full "rate" bytes of input and apply the permutation. xorIn(d, p[:d.rate]) p = p[d.rate:] KeccakF1600(&d.a) } else { // The slow path; buffer the input until we can fill the sponge, and then xor it in. - todo := d.rate - (d.bufe - d.bufo) + todo := d.rate - len(d.buf) if todo > len(p) { todo = len(p) } - copy(d.storage.asBytes()[d.bufe:], p[:todo]) - d.bufe += todo + d.buf = append(d.buf, p[:todo]...) p = p[todo:] // If the sponge is full, apply the permutation. - if d.bufe-d.bufo == d.rate { + if len(d.buf) == d.rate { d.permute() } } @@ -153,7 +158,7 @@ func (d *Shake) Write(p []byte) (int, error) { } // Read squeezes an arbitrary number of bytes from the sponge. -func (d *Shake) Read(out []byte) (n int, err error) { +func (d *State) Read(out []byte) (n int, err error) { // If we're still absorbing, pad and apply the permutation. if d.state == spongeAbsorbing { d.padAndPermute(d.dsbyte) @@ -163,12 +168,12 @@ func (d *Shake) Read(out []byte) (n int, err error) { // Now, do the squeezing. for len(out) > 0 { - n := copy(out, d.storage.asBytes()[d.bufo:d.bufe]) - d.bufo += n + n := copy(out, d.buf) + d.buf = d.buf[n:] out = out[n:] // Apply the permutation if we've squeezed the sponge dry. - if d.bufe-d.bufo == 0 { + if len(d.buf) == 0 { d.permute() } } @@ -178,15 +183,11 @@ func (d *Shake) Read(out []byte) (n int, err error) { // Sum applies padding to the hash state and then squeezes out the desired // number of output bytes. -func (d *Shake) Sum(in []byte) []byte { +func (d *State) Sum(in []byte) []byte { // Make a copy of the original hash so that caller can keep writing // and summing. - dup := d.Clone() + dup := d.clone() hash := make([]byte, dup.outputLen) _, _ = dup.Read(hash) return append(in, hash...) } - -// Only use this function if you require compatibility with an existing cryptosystem -// that uses non-standard padding. All other users should use New256 instead. -func NewLegacyKeccak256() hash.Hash { return &Shake{rate: 136, outputLen: 32, dsbyte: 0x01} } diff --git a/src/circl/internal/sha3/sha3_s390x.s b/src/circl/internal/sha3/sha3_s390x.s new file mode 100644 index 00000000000..8a4458f63f9 --- /dev/null +++ b/src/circl/internal/sha3/sha3_s390x.s @@ -0,0 +1,33 @@ +// Copyright 2017 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !gccgo,!appengine + +#include "textflag.h" + +// func kimd(function code, chain *[200]byte, src []byte) +TEXT ·kimd(SB), NOFRAME|NOSPLIT, $0-40 + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG src+16(FP), R2, R3 // R2=base, R3=len + +continue: + WORD $0xB93E0002 // KIMD --, R2 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET + +// func klmd(function code, chain *[200]byte, dst, src []byte) +TEXT ·klmd(SB), NOFRAME|NOSPLIT, $0-64 + // TODO: SHAKE support + MOVD function+0(FP), R0 + MOVD chain+8(FP), R1 + LMG dst+16(FP), R2, R3 // R2=base, R3=len + LMG src+40(FP), R4, R5 // R4=base, R5=len + +continue: + WORD $0xB93F0024 // KLMD R2, R4 + BVS continue // continue if interrupted + MOVD $0, R0 // reset R0 for pre-go1.8 compilers + RET diff --git a/src/circl/internal/sha3/sha3_test.go b/src/circl/internal/sha3/sha3_test.go new file mode 100644 index 00000000000..b2a4d4b58aa --- /dev/null +++ b/src/circl/internal/sha3/sha3_test.go @@ -0,0 +1,269 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// Tests include all the ShortMsgKATs provided by the Keccak team at +// https://github.com/gvanas/KeccakCodePackage +// +// They only include the zero-bit case of the bitwise testvectors +// published by NIST in the draft of FIPS-202. + +import ( + "bytes" + "compress/flate" + "encoding/hex" + "encoding/json" + "fmt" + "math/rand" + "os" + "strings" + "testing" +) + +const ( + katFilename = "testdata/keccakKats.json.deflate" +) + +// testDigests contains functions returning hash.Hash instances +// with output-length equal to the KAT length for SHA-3, Keccak +// and SHAKE instances. +var testDigests = map[string]func() State{ + "SHA3-224": New224, + "SHA3-256": New256, + "SHA3-384": New384, + "SHA3-512": New512, +} + +// structs used to marshal JSON test-cases. +type KeccakKats struct { + Kats map[string][]struct { + Digest string `json:"digest"` + Length int64 `json:"length"` + Message string `json:"message"` + + // Defined only for cSHAKE + N string `json:"N"` + S string `json:"S"` + } +} + +// nolint:unparam +func testUnalignedAndGeneric(t *testing.T, testf func(impl string)) { + xorInOrig, copyOutOrig := xorIn, copyOut + xorIn, copyOut = xorInGeneric, copyOutGeneric + testf("generic") + if xorImplementationUnaligned != "generic" { + xorIn, copyOut = xorInUnaligned, copyOutUnaligned + testf("unaligned") + } + xorIn, copyOut = xorInOrig, copyOutOrig +} + +// TestKeccakKats tests the SHA-3 and Shake implementations against all the +// ShortMsgKATs from https://github.com/gvanas/KeccakCodePackage +// (The testvectors are stored in keccakKats.json.deflate due to their length.) +func TestKeccakKats(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + // Read the KATs. + deflated, err := os.Open(katFilename) + if err != nil { + t.Errorf("error opening %s: %s", katFilename, err) + } + file := flate.NewReader(deflated) + dec := json.NewDecoder(file) + var katSet KeccakKats + err = dec.Decode(&katSet) + if err != nil { + t.Errorf("error decoding KATs: %s", err) + } + + for algo, function := range testDigests { + d := function() + for _, kat := range katSet.Kats[algo] { + d.Reset() + in, err := hex.DecodeString(kat.Message) + if err != nil { + t.Errorf("error decoding KAT: %s", err) + } + _, _ = d.Write(in[:kat.Length/8]) + got := strings.ToUpper(hex.EncodeToString(d.Sum(nil))) + if got != kat.Digest { + t.Errorf("function=%s, implementation=%s, length=%d\nmessage:\n %s\ngot:\n %s\nwanted:\n %s", + algo, impl, kat.Length, kat.Message, got, kat.Digest) + t.Logf("wanted %+v", kat) + t.FailNow() + } + continue + } + } + }) +} + +// TestUnalignedWrite tests that writing data in an arbitrary pattern with +// small input buffers. +func TestUnalignedWrite(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + buf := sequentialBytes(0x10000) + for alg, df := range testDigests { + d := df() + d.Reset() + _, _ = d.Write(buf) + want := d.Sum(nil) + d.Reset() + for i := 0; i < len(buf); { + // Cycle through offsets which make a 137 byte sequence. + // Because 137 is prime this sequence should exercise all corner cases. + offsets := [17]int{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1} + for _, j := range offsets { + if v := len(buf) - i; v < j { + j = v + } + _, _ = d.Write(buf[i : i+j]) + i += j + } + } + got := d.Sum(nil) + if !bytes.Equal(got, want) { + t.Errorf("Unaligned writes, implementation=%s, alg=%s\ngot %q, want %q", impl, alg, got, want) + } + } + }) +} + +// TestAppend checks that appending works when reallocation is necessary. +func TestAppend(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + d := New224() + + for capacity := 2; capacity <= 66; capacity += 64 { + // The first time around the loop, Sum will have to reallocate. + // The second time, it will not. + buf := make([]byte, 2, capacity) + d.Reset() + _, _ = d.Write([]byte{0xcc}) + buf = d.Sum(buf) + expected := "0000DF70ADC49B2E76EEE3A6931B93FA41841C3AF2CDF5B32A18B5478C39" + if got := strings.ToUpper(hex.EncodeToString(buf)); got != expected { + t.Errorf("got %s, want %s", got, expected) + } + } + }) +} + +// TestAppendNoRealloc tests that appending works when no reallocation is necessary. +func TestAppendNoRealloc(t *testing.T) { + testUnalignedAndGeneric(t, func(impl string) { + buf := make([]byte, 1, 200) + d := New224() + _, _ = d.Write([]byte{0xcc}) + buf = d.Sum(buf) + expected := "00DF70ADC49B2E76EEE3A6931B93FA41841C3AF2CDF5B32A18B5478C39" + if got := strings.ToUpper(hex.EncodeToString(buf)); got != expected { + t.Errorf("%s: got %s, want %s", impl, got, expected) + } + }) +} + +// sequentialBytes produces a buffer of size consecutive bytes 0x00, 0x01, ..., used for testing. +// +// The alignment of each slice is intentionally randomized to detect alignment +// issues in the implementation. See https://golang.org/issue/37644. +// Ideally, the compiler should fuzz the alignment itself. +// (See https://golang.org/issue/35128.) +func sequentialBytes(size int) []byte { + alignmentOffset := rand.Intn(8) // nolint:gosec + result := make([]byte, size+alignmentOffset)[alignmentOffset:] + for i := range result { + result[i] = byte(i) + } + return result +} + +// BenchmarkPermutationFunction measures the speed of the permutation function +// with no input data. +func BenchmarkPermutationFunction(b *testing.B) { + b.SetBytes(int64(200)) + var lanes [25]uint64 + for i := 0; i < b.N; i++ { + KeccakF1600(&lanes) + } +} + +// benchmarkHash tests the speed to hash num buffers of buflen each. +func benchmarkHash(b *testing.B, h State, size, num int) { + b.StopTimer() + h.Reset() + data := sequentialBytes(size) + b.SetBytes(int64(size * num)) + b.StartTimer() + + var state []byte + for i := 0; i < b.N; i++ { + for j := 0; j < num; j++ { + _, _ = h.Write(data) + } + state = h.Sum(state[:0]) + } + b.StopTimer() + h.Reset() +} + +// benchmarkShake is specialized to the Shake instances, which don't +// require a copy on reading output. +func benchmarkShake(b *testing.B, h State, size, num int) { + b.StopTimer() + h.Reset() + data := sequentialBytes(size) + d := make([]byte, 32) + + b.SetBytes(int64(size * num)) + b.StartTimer() + + for i := 0; i < b.N; i++ { + h.Reset() + for j := 0; j < num; j++ { + _, _ = h.Write(data) + } + _, _ = h.Read(d) + } +} + +func BenchmarkSha3_512_MTU(b *testing.B) { benchmarkHash(b, New512(), 1350, 1) } +func BenchmarkSha3_384_MTU(b *testing.B) { benchmarkHash(b, New384(), 1350, 1) } +func BenchmarkSha3_256_MTU(b *testing.B) { benchmarkHash(b, New256(), 1350, 1) } +func BenchmarkSha3_224_MTU(b *testing.B) { benchmarkHash(b, New224(), 1350, 1) } + +func BenchmarkShake128_MTU(b *testing.B) { benchmarkShake(b, NewShake128(), 1350, 1) } +func BenchmarkShake256_MTU(b *testing.B) { benchmarkShake(b, NewShake256(), 1350, 1) } +func BenchmarkShake256_16x(b *testing.B) { benchmarkShake(b, NewShake256(), 16, 1024) } +func BenchmarkShake256_1MiB(b *testing.B) { benchmarkShake(b, NewShake256(), 1024, 1024) } + +func BenchmarkSha3_512_1MiB(b *testing.B) { benchmarkHash(b, New512(), 1024, 1024) } + +func Example_sum() { + buf := []byte("some data to hash") + // A hash needs to be 64 bytes long to have 256-bit collision resistance. + h := make([]byte, 64) + // Compute a 64-byte hash of buf and put it in h. + ShakeSum256(h, buf) + fmt.Printf("%x\n", h) + // Output: 0f65fe41fc353e52c55667bb9e2b27bfcc8476f2c413e9437d272ee3194a4e3146d05ec04a25d16b8f577c19b82d16b1424c3e022e783d2b4da98de3658d363d +} + +func Example_mac() { + k := []byte("this is a secret key; you should generate a strong random key that's at least 32 bytes long") + buf := []byte("and this is some data to authenticate") + // A MAC with 32 bytes of output has 256-bit security strength -- if you use at least a 32-byte-long key. + h := make([]byte, 32) + d := NewShake256() + // Write the key into the hash. + _, _ = d.Write(k) + // Now write the data. + _, _ = d.Write(buf) + // Read 32 bytes of output from the hash into h. + _, _ = d.Read(h) + fmt.Printf("%x\n", h) + // Output: 78de2974bd2711d5549ffd32b753ef0f5fa80a0db2556db60f0987eb8a9218ff +} diff --git a/src/circl/internal/sha3/shake.go b/src/circl/internal/sha3/shake.go new file mode 100644 index 00000000000..b92c5b7d785 --- /dev/null +++ b/src/circl/internal/sha3/shake.go @@ -0,0 +1,79 @@ +// Copyright 2014 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package sha3 + +// This file defines the ShakeHash interface, and provides +// functions for creating SHAKE and cSHAKE instances, as well as utility +// functions for hashing bytes to arbitrary-length output. +// +// +// SHAKE implementation is based on FIPS PUB 202 [1] +// cSHAKE implementations is based on NIST SP 800-185 [2] +// +// [1] https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf +// [2] https://doi.org/10.6028/NIST.SP.800-185 + +import ( + "io" +) + +// ShakeHash defines the interface to hash functions that +// support arbitrary-length output. +type ShakeHash interface { + // Write absorbs more data into the hash's state. It panics if input is + // written to it after output has been read from it. + io.Writer + + // Read reads more output from the hash; reading affects the hash's + // state. (ShakeHash.Read is thus very different from Hash.Sum) + // It never returns an error. + io.Reader + + // Clone returns a copy of the ShakeHash in its current state. + Clone() ShakeHash + + // Reset resets the ShakeHash to its initial state. + Reset() +} + +// Consts for configuring initial SHA-3 state +const ( + dsbyteShake = 0x1f + rate128 = 168 + rate256 = 136 +) + +// Clone returns copy of SHAKE context within its current state. +func (d *State) Clone() ShakeHash { + return d.clone() +} + +// NewShake128 creates a new SHAKE128 variable-output-length ShakeHash. +// Its generic security strength is 128 bits against all attacks if at +// least 32 bytes of its output are used. +func NewShake128() State { + return State{rate: rate128, dsbyte: dsbyteShake} +} + +// NewShake256 creates a new SHAKE256 variable-output-length ShakeHash. +// Its generic security strength is 256 bits against all attacks if +// at least 64 bytes of its output are used. +func NewShake256() State { + return State{rate: rate256, dsbyte: dsbyteShake} +} + +// ShakeSum128 writes an arbitrary-length digest of data into hash. +func ShakeSum128(hash, data []byte) { + h := NewShake128() + _, _ = h.Write(data) + _, _ = h.Read(hash) +} + +// ShakeSum256 writes an arbitrary-length digest of data into hash. +func ShakeSum256(hash, data []byte) { + h := NewShake256() + _, _ = h.Write(data) + _, _ = h.Read(hash) +} diff --git a/src/circl/internal/sha3/testdata/keccakKats.json.deflate b/src/circl/internal/sha3/testdata/keccakKats.json.deflate new file mode 100644 index 0000000000000000000000000000000000000000..7a94c2f8bce62c70664cda859a30845cab713c24 GIT binary patch literal 540828 zcmV(+K;6HL{JXAoOO7>&`TZ1$v|B*%8f1CALcUB{4XE%-(8a0WYv|pDSP8W?6T3cR zuXFY}-&~BC|M_44{EvV9@Bhm`{_)TM%l|p(|Aff@{EvV9U;meX z{No?L-@ZTp{J;G_{>Oj**Z=(IfBfU0nmmUXN%eN-rPKjo;XRWO*(`q71M*xOT1g4b zy8rxN|NqbWfBonG=YRaq|NB4x;~(e$_|^aWKmY5${$R|hx@TP+Ts2$!oSCMCvA10((sNL)Vn5#o;pgjssqOvK5IFO` 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All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !amd64,!386,!ppc64le appengine + +package sha3 + +// A storageBuf is an aligned array of maxRate bytes. +type storageBuf [maxRate]byte + +func (b *storageBuf) asBytes() *[maxRate]byte { + return (*[maxRate]byte)(b) +} + +var ( + xorIn = xorInGeneric + copyOut = copyOutGeneric + xorInUnaligned = xorInGeneric + copyOutUnaligned = copyOutGeneric +) + +const xorImplementationUnaligned = "generic" diff --git a/src/circl/internal/shake/xor_generic.go b/src/circl/internal/sha3/xor_generic.go similarity index 72% rename from src/circl/internal/shake/xor_generic.go rename to src/circl/internal/sha3/xor_generic.go index 43a1022c4f8..8dec02d58cf 100644 --- a/src/circl/internal/shake/xor_generic.go +++ b/src/circl/internal/sha3/xor_generic.go @@ -2,22 +2,14 @@ // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. -// +build !amd64,!386,!ppc64le - -package shake +package sha3 import "encoding/binary" -type storageBuf [maxRate]byte - -func (b *storageBuf) asBytes() *[maxRate]byte { - return (*[maxRate]byte)(b) -} - // xorInGeneric xors the bytes in buf into the state; it // makes no non-portable assumptions about memory layout // or alignment. -func xorIn(d *Shake, buf []byte) { +func xorInGeneric(d *State, buf []byte) { n := len(buf) / 8 for i := 0; i < n; i++ { @@ -28,7 +20,7 @@ func xorIn(d *Shake, buf []byte) { } // copyOutGeneric copies ulint64s to a byte buffer. -func copyOut(d *Shake, b []byte) { +func copyOutGeneric(d *State, b []byte) { for i := 0; len(b) >= 8; i++ { binary.LittleEndian.PutUint64(b, d.a[i]) b = b[8:] diff --git a/src/circl/internal/shake/xor_unaligned.go b/src/circl/internal/sha3/xor_unaligned.go similarity index 69% rename from src/circl/internal/shake/xor_unaligned.go rename to src/circl/internal/sha3/xor_unaligned.go index 5e3bcae53ce..03affc304cd 100644 --- a/src/circl/internal/shake/xor_unaligned.go +++ b/src/circl/internal/sha3/xor_unaligned.go @@ -5,28 +5,20 @@ // +build amd64 386 ppc64le // +build !appengine -package shake +package sha3 import "unsafe" +// A storageBuf is an aligned array of maxRate bytes. type storageBuf [maxRate / 8]uint64 func (b *storageBuf) asBytes() *[maxRate]byte { return (*[maxRate]byte)(unsafe.Pointer(b)) } -//go:nocheckptr -// -// xorIn intentionally reads the input buffer as an unaligned slice of -// integers. The language spec is not clear on whether that is allowed. -// See: -// https://golang.org/issue/37644 -// https://golang.org/issue/37298 -// https://golang.org/issue/35381 -// #89 -// -// xorIn uses unaligned reads and writes to update d.a to contain d.a XOR buf. -func xorIn(d *Shake, buf []byte) { +// xorInUnaligned uses unaligned reads and writes to update d.a to contain d.a +// XOR buf. +func xorInUnaligned(d *State, buf []byte) { n := len(buf) bw := (*[maxRate / 8]uint64)(unsafe.Pointer(&buf[0]))[: n/8 : n/8] if n >= 72 { @@ -62,7 +54,14 @@ func xorIn(d *Shake, buf []byte) { } } -func copyOut(d *Shake, buf []byte) { +func copyOutUnaligned(d *State, buf []byte) { ab := (*[maxRate]uint8)(unsafe.Pointer(&d.a[0])) copy(buf, ab[:]) } + +var ( + xorIn = xorInUnaligned + copyOut = copyOutUnaligned +) + +const xorImplementationUnaligned = "unaligned" diff --git a/src/circl/internal/shake/LICENSE b/src/circl/internal/shake/LICENSE deleted file mode 100644 index 6a66aea5eaf..00000000000 --- a/src/circl/internal/shake/LICENSE +++ /dev/null @@ -1,27 +0,0 @@ -Copyright (c) 2009 The Go Authors. All rights reserved. - -Redistribution and use in source and binary forms, with or without -modification, are permitted provided that the following conditions are -met: - - * Redistributions of source code must retain the above copyright -notice, this list of conditions and the following disclaimer. - * Redistributions in binary form must reproduce the above -copyright notice, this list of conditions and the following disclaimer -in the documentation and/or other materials provided with the -distribution. - * Neither the name of Google Inc. nor the names of its -contributors may be used to endorse or promote products derived from -this software without specific prior written permission. - -THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR -A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT -OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, -SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT -LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, -DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY -THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT -(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE -OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/circl/internal/shake/doc.go b/src/circl/internal/shake/doc.go deleted file mode 100644 index 2e1edd215d2..00000000000 --- a/src/circl/internal/shake/doc.go +++ /dev/null @@ -1,7 +0,0 @@ -// Package shake provides implementation of SHA-3 and cSHAKE -// This code has been copied from golang.org/x/crypto/sha3 -// and heavily modified. This version doesn't use heap when -// computing cSHAKE. It makes it possible to allocate -// heap once when object is created and then reuse heap -// allocated structures in subsequent calls. -package shake diff --git a/src/circl/internal/shake/sha3_test.go b/src/circl/internal/shake/sha3_test.go deleted file mode 100644 index 81698549df0..00000000000 --- a/src/circl/internal/shake/sha3_test.go +++ /dev/null @@ -1,325 +0,0 @@ -// Copyright 2014 The Go Authors. All rights reserved. -// Use of this source code is governed by a BSD-style -// license that can be found in the LICENSE file. - -package shake - -// Tests include all the ShortMsgKATs provided by the Keccak team at -// https://github.com/gvanas/KeccakCodePackage -// -// They only include the zero-bit case of the bitwise testvectors -// published by NIST in the draft of FIPS-202. - -import ( - "bytes" - "compress/flate" - "encoding/hex" - "encoding/json" - "fmt" - "hash" - "os" - "strings" - "testing" -) - -const ( - testString = "brekeccakkeccak koax koax" - katFilename = "testdata/keccakKats.json.deflate" -) - -// decodeHex converts a hex-encoded string into a raw byte string. -func decodeHex(s string) []byte { - b, err := hex.DecodeString(s) - if err != nil { - panic(err) - } - return b -} - -// structs used to marshal JSON test-cases. -type KeccakKats struct { - Kats map[string][]struct { - Digest string `json:"digest"` - Length int64 `json:"length"` - Message string `json:"message"` - - // Defined only for cSHAKE - N string `json:"N"` - S string `json:"S"` - } -} - -// Run with "go test -race" on Go ≥1.14. -func TestIssue89(t *testing.T) { - h := NewShake256() - var buf [200]byte - _, _ = h.Write(buf[1:]) -} - -// TestKeccakKats tests the SHA-3 and Shake implementations against all the -// ShortMsgKATs from https://github.com/gvanas/KeccakCodePackage -// (The testvectors are stored in keccakKats.json.deflate due to their length). -func TestKeccakKats(t *testing.T) { - // Read the KATs. - deflated, err := os.Open(katFilename) - if err != nil { - t.Errorf("error opening %s: %s", katFilename, err) - } - file := flate.NewReader(deflated) - dec := json.NewDecoder(file) - var katSet KeccakKats - err = dec.Decode(&katSet) - if err != nil { - t.Errorf("error decoding KATs: %s", err) - } - - for _, kat := range katSet.Kats["SHAKE256"] { - d := NewShake256() - in, err := hex.DecodeString(kat.Message) - if err != nil { - t.Errorf("error decoding KAT: %s", err) - } - - _, _ = d.Write(in[:kat.Length/8]) - out := make([]byte, len(kat.Digest)/2) - _, _ = d.Read(out) - got := strings.ToUpper(hex.EncodeToString(out)) - if got != kat.Digest { - t.Errorf("function=%s, length=%d N:%s\n S:%s\nmessage:\n %s \ngot:\n %s\nwanted:\n %s", - "SHAKE256", kat.Length, kat.N, kat.S, kat.Message, got, kat.Digest) - t.Logf("wanted %+v", kat) - t.FailNow() - } - continue - } -} - -// TestKeccak does a basic test of the non-standardized Keccak hash functions. -func TestKeccak(t *testing.T) { - tests := []struct { - fn func() hash.Hash - data []byte - want string - }{ - { - NewLegacyKeccak256, - []byte("abc"), - "4e03657aea45a94fc7d47ba826c8d667c0d1e6e33a64a036ec44f58fa12d6c45", - }, - } - - for _, u := range tests { - h := u.fn() - _, _ = h.Write(u.data) - got := h.Sum(nil) - want := decodeHex(u.want) - if !bytes.Equal(got, want) { - t.Errorf("unexpected hash for size %d: got '%x' want '%s'", h.Size()*8, got, u.want) - } - } -} - -// TestUnalignedWrite tests that writing data in an arbitrary pattern with -// small input buffers. -func TestUnalignedWrite(t *testing.T) { - buf := sequentialBytes(0x10000) - - // Same for SHAKE - want := make([]byte, 16) - got := make([]byte, 16) - d := NewShake256() - - d.Reset() - _, _ = d.Write(buf) - _, _ = d.Read(want) - d.Reset() - for i := 0; i < len(buf); { - // Cycle through offsets which make a 137 byte sequence. - // Because 137 is prime this sequence should exercise all corner cases. - offsets := [17]int{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1} - for _, j := range offsets { - if v := len(buf) - i; v < j { - j = v - } - _, _ = d.Write(buf[i : i+j]) - i += j - } - } - _, _ = d.Read(got) - if !bytes.Equal(got, want) { - t.Errorf("Unaligned writes, alg=SHAKE256\ngot %q, want %q", got, want) - } -} - -// TestSqueezing checks that squeezing the full output a single time produces -// the same output as repeatedly squeezing the instance. -func TestSqueezing(t *testing.T) { - d0 := NewShake256() - _, _ = d0.Write([]byte(testString)) - ref := make([]byte, 32) - _, _ = d0.Read(ref) - - d1 := NewShake256() - _, _ = d1.Write([]byte(testString)) - multiple := make([]byte, 0, len(ref)) - for range ref { - one := make([]byte, 1) - _, _ = d1.Read(one) - multiple = append(multiple, one...) - } - if !bytes.Equal(ref, multiple) { - t.Errorf("SHAKE256 : squeezing %d bytes one at a time failed", len(ref)) - } -} - -// sequentialBytes produces a buffer of size consecutive bytes 0x00, 0x01, ..., used for testing. -func sequentialBytes(size int) []byte { - result := make([]byte, size) - for i := range result { - result[i] = byte(i) - } - return result -} - -func TestReset(t *testing.T) { - out1 := make([]byte, 32) - out2 := make([]byte, 32) - - // Calculate hash for the first time - c := NewShake256() - _, _ = c.Write(sequentialBytes(0x100)) - _, _ = c.Read(out1) - - // Calculate hash again - c.Reset() - _, _ = c.Write(sequentialBytes(0x100)) - _, _ = c.Read(out2) - - if !bytes.Equal(out1, out2) { - t.Error("\nExpected:\n", out1, "\ngot:\n", out2) - } -} - -func TestClone(t *testing.T) { - out1 := make([]byte, 16) - out2 := make([]byte, 16) - in := sequentialBytes(0x100) - - h1 := NewShake256() - _, _ = h1.Write([]byte{0x01}) - - h2 := h1.Clone() - - _, _ = h1.Write(in) - _, _ = h1.Read(out1) - - _, _ = h2.Write(in) - _, _ = h2.Read(out2) - if !bytes.Equal(out1, out2) { - t.Error("\nExpected:\n", hex.EncodeToString(out1), "\ngot:\n", hex.EncodeToString(out2)) - } -} - -// Checks whether reset works correctly after clone. -func TestCloneAndReset(t *testing.T) { - // Shake 256, uses SHA-3 with rate = 136 - d1 := NewShake256() - buf1 := make([]byte, 28) - buf2 := make([]byte, 28) - _, _ = d1.Write([]byte{0xcc}) - // Reading x bytes where x<168-136. This makes capability - // of the state buffer shorter. - _, _ = d1.Read(buf1) - // This will crash if sha-3 code uses cap() instead - // of len() when calculating length of state buffer - d2 := d1.Clone() - d2.Reset() - _, _ = d2.Write([]byte{0xcc}) - _, _ = d2.Read(buf2) - - if !bytes.Equal(buf1, buf2) { - t.Error("Different value when reading after reset") - } -} - -// BenchmarkPermutationFunction measures the speed of the permutation function -// with no input data. -func BenchmarkPermutationFunction(b *testing.B) { - b.SetBytes(int64(200)) - var lanes [25]uint64 - for i := 0; i < b.N; i++ { - KeccakF1600(&lanes) - } -} - -// benchmarkShake is specialized to the Shake instances, which don't -// require a copy on reading output. -func benchmarkShake(b *testing.B, h Shake, size, num int) { - b.StopTimer() - h.Reset() - data := sequentialBytes(size) - var d [32]byte - - b.SetBytes(int64(size * num)) - b.StartTimer() - - for i := 0; i < b.N; i++ { - h.Reset() - for j := 0; j < num; j++ { - _, _ = h.Write(data) - } - _, _ = h.Read(d[:]) - } -} - -func BenchmarkShake256_MTU(b *testing.B) { benchmarkShake(b, NewShake256(), 1350, 1) } -func BenchmarkShake256_16x(b *testing.B) { benchmarkShake(b, NewShake256(), 16, 1024) } -func BenchmarkShake256_1MiB(b *testing.B) { benchmarkShake(b, NewShake256(), 1024, 1024) } -func BenchmarkCShake256_448_16x(b *testing.B) { - benchmarkShake(b, NewShake256(), 448, 16) -} -func BenchmarkCShake256_1MiB(b *testing.B) { - benchmarkShake(b, NewShake256(), 1024, 1024) -} - -func Example_sum() { - buf := []byte("some data to hash") - // A hash needs to be 64 bytes long to have 256-bit collision resistance. - h := make([]byte, 64) - // Compute a 64-byte hash of buf and put it in h. - shake := NewShake256() - _, _ = shake.Write(buf) - _, _ = shake.Read(h) - fmt.Printf("%x\n", h) - // Output: 0f65fe41fc353e52c55667bb9e2b27bfcc8476f2c413e9437d272ee3194a4e3146d05ec04a25d16b8f577c19b82d16b1424c3e022e783d2b4da98de3658d363d -} - -func Example_mac() { - k := []byte("this is a secret key; you should generate a strong random key that's at least 32 bytes long") - buf := []byte("and this is some data to authenticate") - // A MAC with 32 bytes of output has 256-bit security strength -- if you use at least a 32-byte-long key. - h := make([]byte, 32) - d := NewShake256() - // Write the key into the hash. - _, _ = d.Write(k) - // Now write the data. - _, _ = d.Write(buf) - // Read 32 bytes of output from the hash into h. - _, _ = d.Read(h) - fmt.Printf("%x\n", h) - // Output: 78de2974bd2711d5549ffd32b753ef0f5fa80a0db2556db60f0987eb8a9218ff -} - -func ExampleShake() { - out := make([]byte, 32) - msg := []byte("The quick brown fox jumps over the lazy dog") - - // Example 1: Simple Shake - c1 := NewShake256() - _, _ = c1.Write(msg) - _, _ = c1.Read(out) - fmt.Println(hex.EncodeToString(out)) - - // Output: - //2f671343d9b2e1604dc9dcf0753e5fe15c7c64a0d283cbbf722d411a0e36f6ca -} diff --git a/src/circl/internal/shake/shake.go b/src/circl/internal/shake/shake.go deleted file mode 100644 index 2c892954646..00000000000 --- a/src/circl/internal/shake/shake.go +++ /dev/null @@ -1,68 +0,0 @@ -// Copyright 2014 The Go Authors. All rights reserved. -// Use of this source code is governed by a BSD-style -// license that can be found in the LICENSE file. - -package shake - -// This file defines the Shake struct, and provides -// functions for creating SHAKE and cSHAKE instances, as well as utility -// functions for hashing bytes to arbitrary-length output. -// -// -// SHAKE implementation is based on FIPS PUB 202 [1] -// -// [1] https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.202.pdf - -// Consts for configuring initial SHA-3 state -const ( - dsbyteShake = 0x1f - rate256 = 136 - rate128 = 168 -) - -// RC stores the round constants for use in the ι step. -var RC = [24]uint64{ - 0x0000000000000001, - 0x0000000000008082, - 0x800000000000808A, - 0x8000000080008000, - 0x000000000000808B, - 0x0000000080000001, - 0x8000000080008081, - 0x8000000000008009, - 0x000000000000008A, - 0x0000000000000088, - 0x0000000080008009, - 0x000000008000000A, - 0x000000008000808B, - 0x800000000000008B, - 0x8000000000008089, - 0x8000000000008003, - 0x8000000000008002, - 0x8000000000000080, - 0x000000000000800A, - 0x800000008000000A, - 0x8000000080008081, - 0x8000000000008080, - 0x0000000080000001, - 0x8000000080008008, -} - -// NewShake256 creates a new SHAKE256 variable-output-length Shake. -// Its generic security strength is 256 bits against all attacks if -// at least 64 bytes of its output are used. -func NewShake256() Shake { - return Shake{rate: rate256, dsbyte: dsbyteShake} -} - -// NewShake128 creates a new SHAKE128 variable-output-length Shake. -// Its generic security strength is 128 bits against all attacks if -// at least 32 bytes of its output are used. -func NewShake128() Shake { - return Shake{rate: rate128, dsbyte: dsbyteShake} -} - -func (d *Shake) Init128() { - d.rate = rate128 - d.dsbyte = dsbyteShake -} diff --git a/src/circl/internal/shake/testdata/keccakKats.json.deflate b/src/circl/internal/shake/testdata/keccakKats.json.deflate deleted file mode 100644 index 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z$q>s;(1wcgHZK@vw9siFftk%J^CT)gyjb;}r9lU2E8EvM!V8z9?_j)BEzM+_g*7iA z^xjUrhg1BVX;kQ$D?WeI!J1GBn24^F^#cf)d4Je zmR9p23sTmzfkyL0_fllSwG(~RrCN`O)l7z5OJKuab5KszwQxmJ4>^%PB27%FhXRR0 z;zy(dl#70<+9pOL(tLxC{bIHIW|cNc4suT1rLQ4rob%ONo_WlnQ|7U%ga*B5Y~h($ z)x%=E3029!9%IV&&M9+RwUE6yp(o_AHa;71!{$R|bPY(EIl#x7&<@Ge2JowglTu9I zB;%7BL`px7-A6kFdYLVzO;^ykPgD)Z(XO8mr@WJ5inF);c$Q3$TU5H!AA!xpp6R5N zHE-F13))+H?qCgX0P(Jl$Xv*LET*68X-chD!E(mi-mTpFzZd!U|KI=o^Y8aRCpfy) diff --git a/src/circl/internal/test/test.go b/src/circl/internal/test/test.go index bc64267aa22..38f02feb0cd 100644 --- a/src/circl/internal/test/test.go +++ b/src/circl/internal/test/test.go @@ -19,7 +19,7 @@ func ReportError(t *testing.T, got, want interface{}, inputs ...interface{}) { t.Fatalf(b.String()) } -// checkOk fails the test if result == false. +// CheckOk fails the test if result == false. func CheckOk(result bool, msg string, t testing.TB) { t.Helper() @@ -33,11 +33,11 @@ func CheckOk(result bool, msg string, t testing.TB) { func checkErr(t testing.TB, err error, mustFail bool, msg string) { t.Helper() if err != nil && !mustFail { - t.Error(msg) + t.Error(msg, ":", err) } if err == nil && mustFail { - t.Error(msg) + t.Error(msg, ":", err) } } diff --git a/src/circl/kem/kem.go b/src/circl/kem/kem.go index 9c1ee556334..296cca8ff03 100644 --- a/src/circl/kem/kem.go +++ b/src/circl/kem/kem.go @@ -36,15 +36,13 @@ type Scheme interface { // GenerateKey creates a new key pair. GenerateKey() (PublicKey, PrivateKey, error) - // Encapsulate generates a shared key ss for the public key and + // Encapsulate generates a shared key ss for the public key and // encapsulates it into a ciphertext ct. - Encapsulate(pk PublicKey) (ct []byte, ss []byte) + Encapsulate(pk PublicKey) (ct []byte, ss []byte, err error) // Returns the shared key encapsulated in ciphertext ct for the // private key sk. - // - // Panics if ct is not of size CiphertextSize(). - Decapsulate(sk PrivateKey, ct []byte) []byte + Decapsulate(sk PrivateKey, ct []byte) ([]byte, error) // Unmarshals a PublicKey from the provided buffer. UnmarshalBinaryPublicKey([]byte) (PublicKey, error) @@ -64,7 +62,7 @@ type Scheme interface { // Size of packed public keys. PublicKeySize() int - // Deterministicallly derives a keypair from a seed. If you're unsure, + // Deterministicallly derives a keypair from a seed. If you're unsure, // you're better off using GenerateKey(). // // Panics if seed is not of length SeedSize(). @@ -75,10 +73,9 @@ type Scheme interface { // EncapsulateDeterministically generates a shared key ss for the public // key deterministically from the given seed and encapsulates it into - // a ciphertext ct. If unsure, you're better off using Encapsulate(). - // - // Panics if seed is not of length EncapsulationSeedSize(). - EncapsulateDeterministically(pk PublicKey, seed []byte) (ct, ss []byte) + // a ciphertext ct. If unsure, you're better off using Encapsulate(). + EncapsulateDeterministically(pk PublicKey, seed []byte) ( + ct, ss []byte, err error) // Size of seed used in EncapsulateDeterministically(). EncapsulationSeedSize() int @@ -104,4 +101,10 @@ var ( // ErrPrivKeySize is the error used if the provided private key is of // the wrong size. ErrPrivKeySize = errors.New("wrong size for private key") + + // ErrPubKey is the error used if the provided public key is invalid. + ErrPubKey = errors.New("invalid public key") + + // ErrCipherText is the error used if the provided ciphertext is invalid. + ErrCipherText = errors.New("invalid ciphertext") ) diff --git a/src/circl/kem/kyber/doc.go b/src/circl/kem/kyber/doc.go index eef215e91eb..6cc828f2b10 100644 --- a/src/circl/kem/kyber/doc.go +++ b/src/circl/kem/kyber/doc.go @@ -1,10 +1,10 @@ //go:generate go run gen.go // Package kyber implements the CRYSTALS-Kyber.CCAKEM IND-CCA2 secure -// key encapsulation mechanism (KEM) as submitted to round 2 of the NIST PQC +// key encapsulation mechanism (KEM) as submitted to round 3 of the NIST PQC // competition and described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf // // The related public key encryption scheme CRYSTALS-Kyber.CPAPKE can be // found in the package circl/pke/kyber. diff --git a/src/circl/kem/kyber/kat_test.go b/src/circl/kem/kyber/kat_test.go index 5574bafe12c..f9dc4753665 100644 --- a/src/circl/kem/kyber/kat_test.go +++ b/src/circl/kem/kyber/kat_test.go @@ -14,10 +14,21 @@ import ( ) func TestPQCgenKATKem(t *testing.T) { - // Computed from reference implementation - testPQCgenKATKem(t, "Kyber1024", "9e6441f6f77cd33ba2b7e1324ec66e7623808fe91896e7f06ee054e3a8645e93") - testPQCgenKATKem(t, "Kyber768", "6a9a983f3a003117c00f2adf8a1b42692429d40fd99ad12462caeb48e737a6eb") - testPQCgenKATKem(t, "Kyber512", "0da040de6aa757004315e18bfca4f25f6f9cd86e676bc87feb44cd87f3687db8") + kats := []struct { + name string + want string + }{ + // Computed from reference implementation + {"Kyber1024", "89248f2f33f7f4f7051729111f3049c409a933ec904aedadf035f30fa5646cd5"}, + {"Kyber768", "a1e122cad3c24bc51622e4c242d8b8acbcd3f618fee4220400605ca8f9ea02c2"}, + {"Kyber512", "e9c2bd37133fcb40772f81559f14b1f58dccd1c816701be9ba6214d43baf4547"}, + } + for _, kat := range kats { + kat := kat + t.Run(kat.name, func(t *testing.T) { + testPQCgenKATKem(t, kat.name, kat.want) + }) + } } func testPQCgenKATKem(t *testing.T, name, expected string) { @@ -51,8 +62,8 @@ func testPQCgenKATKem(t *testing.T, name, expected string) { pk, sk := scheme.DeriveKey(kseed) ppk, _ := pk.MarshalBinary() psk, _ := sk.MarshalBinary() - ct, ss := scheme.EncapsulateDeterministically(pk, eseed) - ss2 := scheme.Decapsulate(sk, ct) + ct, ss, _ := scheme.EncapsulateDeterministically(pk, eseed) + ss2, _ := scheme.Decapsulate(sk, ct) if !bytes.Equal(ss, ss2) { t.Fatal() } diff --git a/src/circl/kem/kyber/kyber1024/kyber.go b/src/circl/kem/kyber/kyber1024/kyber.go index e09fba31280..ce4c87cfde4 100644 --- a/src/circl/kem/kyber/kyber1024/kyber.go +++ b/src/circl/kem/kyber/kyber1024/kyber.go @@ -1,17 +1,17 @@ // Code generated from pkg.templ.go. DO NOT EDIT. // kyber1024 implements the IND-CCA2 secure key encapsulation mechanism -// Kyber1024.CCAKEM as submitted to round2 of the NIST PQC competition and +// Kyber1024.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package kyber1024 import ( "circl/kem" cpapke "circl/pke/kyber/kyber1024" - "golang.org/x/crypto/sha3" + "circl/internal/sha3" "bytes" cryptoRand "crypto/rand" @@ -263,7 +263,10 @@ func (pk *PublicKey) Unpack(buf []byte) { type scheme struct{} -var Scheme kem.Scheme = &scheme{} +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } func (*scheme) Name() string { return "Kyber1024" } func (*scheme) PublicKeySize() int { return PublicKeySize } @@ -273,8 +276,8 @@ func (*scheme) SharedKeySize() int { return SharedKeySize } func (*scheme) CiphertextSize() int { return CiphertextSize } func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } -func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } -func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { var ret [PrivateKeySize]byte @@ -331,22 +334,22 @@ func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { return NewKeyFromSeed(seed[:]) } -func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { ct = make([]byte, CiphertextSize) ss = make([]byte, SharedKeySize) pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, nil) return } func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( - ct []byte, ss []byte) { + ct, ss []byte, err error) { if len(seed) != EncapsulationSeedSize { - panic(kem.ErrSeedSize) + return nil, nil, kem.ErrSeedSize } ct = make([]byte, CiphertextSize) @@ -354,24 +357,24 @@ func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, seed) return } -func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { if len(ct) != CiphertextSize { - panic(kem.ErrCiphertextSize) + return nil, kem.ErrCiphertextSize } priv, ok := sk.(*PrivateKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, kem.ErrTypeMismatch } ss := make([]byte, SharedKeySize) priv.DecapsulateTo(ss, ct) - return ss + return ss, nil } func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { diff --git a/src/circl/kem/kyber/kyber512/kyber.go b/src/circl/kem/kyber/kyber512/kyber.go index def99a9db29..8bf036cf148 100644 --- a/src/circl/kem/kyber/kyber512/kyber.go +++ b/src/circl/kem/kyber/kyber512/kyber.go @@ -1,17 +1,17 @@ // Code generated from pkg.templ.go. DO NOT EDIT. // kyber512 implements the IND-CCA2 secure key encapsulation mechanism -// Kyber512.CCAKEM as submitted to round2 of the NIST PQC competition and +// Kyber512.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package kyber512 import ( "circl/kem" cpapke "circl/pke/kyber/kyber512" - "golang.org/x/crypto/sha3" + "circl/internal/sha3" "bytes" cryptoRand "crypto/rand" @@ -263,7 +263,10 @@ func (pk *PublicKey) Unpack(buf []byte) { type scheme struct{} -var Scheme kem.Scheme = &scheme{} +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } func (*scheme) Name() string { return "Kyber512" } func (*scheme) PublicKeySize() int { return PublicKeySize } @@ -273,8 +276,8 @@ func (*scheme) SharedKeySize() int { return SharedKeySize } func (*scheme) CiphertextSize() int { return CiphertextSize } func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } -func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } -func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { var ret [PrivateKeySize]byte @@ -331,22 +334,22 @@ func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { return NewKeyFromSeed(seed[:]) } -func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { ct = make([]byte, CiphertextSize) ss = make([]byte, SharedKeySize) pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, nil) return } func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( - ct []byte, ss []byte) { + ct, ss []byte, err error) { if len(seed) != EncapsulationSeedSize { - panic(kem.ErrSeedSize) + return nil, nil, kem.ErrSeedSize } ct = make([]byte, CiphertextSize) @@ -354,24 +357,24 @@ func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, seed) return } -func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { if len(ct) != CiphertextSize { - panic(kem.ErrCiphertextSize) + return nil, kem.ErrCiphertextSize } priv, ok := sk.(*PrivateKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, kem.ErrTypeMismatch } ss := make([]byte, SharedKeySize) priv.DecapsulateTo(ss, ct) - return ss + return ss, nil } func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { diff --git a/src/circl/kem/kyber/kyber768/kyber.go b/src/circl/kem/kyber/kyber768/kyber.go index 556683c7ccf..3ae4466c37c 100644 --- a/src/circl/kem/kyber/kyber768/kyber.go +++ b/src/circl/kem/kyber/kyber768/kyber.go @@ -1,17 +1,17 @@ // Code generated from pkg.templ.go. DO NOT EDIT. // kyber768 implements the IND-CCA2 secure key encapsulation mechanism -// Kyber768.CCAKEM as submitted to round2 of the NIST PQC competition and +// Kyber768.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package kyber768 import ( "circl/kem" cpapke "circl/pke/kyber/kyber768" - "golang.org/x/crypto/sha3" + "circl/internal/sha3" "bytes" cryptoRand "crypto/rand" @@ -263,7 +263,10 @@ func (pk *PublicKey) Unpack(buf []byte) { type scheme struct{} -var Scheme kem.Scheme = &scheme{} +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } func (*scheme) Name() string { return "Kyber768" } func (*scheme) PublicKeySize() int { return PublicKeySize } @@ -273,8 +276,8 @@ func (*scheme) SharedKeySize() int { return SharedKeySize } func (*scheme) CiphertextSize() int { return CiphertextSize } func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } -func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } -func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { var ret [PrivateKeySize]byte @@ -331,22 +334,22 @@ func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { return NewKeyFromSeed(seed[:]) } -func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { ct = make([]byte, CiphertextSize) ss = make([]byte, SharedKeySize) pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, nil) return } func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( - ct []byte, ss []byte) { + ct, ss []byte, err error) { if len(seed) != EncapsulationSeedSize { - panic(kem.ErrSeedSize) + return nil, nil, kem.ErrSeedSize } ct = make([]byte, CiphertextSize) @@ -354,24 +357,24 @@ func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, seed) return } -func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { if len(ct) != CiphertextSize { - panic(kem.ErrCiphertextSize) + return nil, kem.ErrCiphertextSize } priv, ok := sk.(*PrivateKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, kem.ErrTypeMismatch } ss := make([]byte, SharedKeySize) priv.DecapsulateTo(ss, ct) - return ss + return ss, nil } func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { diff --git a/src/circl/kem/kyber/templates/pkg.templ.go b/src/circl/kem/kyber/templates/pkg.templ.go index f195808d5ab..71ee22d69df 100644 --- a/src/circl/kem/kyber/templates/pkg.templ.go +++ b/src/circl/kem/kyber/templates/pkg.templ.go @@ -5,17 +5,17 @@ // Code generated from pkg.templ.go. DO NOT EDIT. // {{.Pkg}} implements the IND-CCA2 secure key encapsulation mechanism -// {{.Name}}.CCAKEM as submitted to round2 of the NIST PQC competition and +// {{.Name}}.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package {{.Pkg}} import ( "circl/kem" cpapke "circl/pke/kyber/{{.Pkg}}" - "golang.org/x/crypto/sha3" + "circl/internal/sha3" "bytes" cryptoRand "crypto/rand" @@ -267,7 +267,10 @@ func (pk *PublicKey) Unpack(buf []byte) { type scheme struct{} -var Scheme kem.Scheme = &scheme{} +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } func (*scheme) Name() string { return "{{ .Name }}" } func (*scheme) PublicKeySize() int { return PublicKeySize } @@ -277,8 +280,8 @@ func (*scheme) SharedKeySize() int { return SharedKeySize } func (*scheme) CiphertextSize() int { return CiphertextSize } func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } -func (sk *PrivateKey) Scheme() kem.Scheme { return Scheme } -func (pk *PublicKey) Scheme() kem.Scheme { return Scheme } +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { var ret [PrivateKeySize]byte @@ -335,22 +338,22 @@ func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { return NewKeyFromSeed(seed[:]) } -func (*scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte) { +func (*scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { ct = make([]byte, CiphertextSize) ss = make([]byte, SharedKeySize) pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, nil) return } func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( - ct []byte, ss []byte) { + ct, ss []byte, err error) { if len(seed) != EncapsulationSeedSize { - panic(kem.ErrSeedSize) + return nil, nil, kem.ErrSeedSize } ct = make([]byte, CiphertextSize) @@ -358,24 +361,24 @@ func (*scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( pub, ok := pk.(*PublicKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, nil, kem.ErrTypeMismatch } pub.EncapsulateTo(ct, ss, seed) return } -func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) []byte { +func (*scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { if len(ct) != CiphertextSize { - panic(kem.ErrCiphertextSize) + return nil, kem.ErrCiphertextSize } priv, ok := sk.(*PrivateKey) if !ok { - panic(kem.ErrTypeMismatch) + return nil, kem.ErrTypeMismatch } ss := make([]byte, SharedKeySize) priv.DecapsulateTo(ss, ct) - return ss + return ss, nil } func (*scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { diff --git a/src/circl/kem/schemes/schemes.go b/src/circl/kem/schemes/schemes.go index 144c0111b9b..8d45e2d4b48 100644 --- a/src/circl/kem/schemes/schemes.go +++ b/src/circl/kem/schemes/schemes.go @@ -8,12 +8,18 @@ import ( "circl/kem/kyber/kyber1024" "circl/kem/kyber/kyber512" "circl/kem/kyber/kyber768" + "circl/kem/sike/sikep434" + "circl/kem/sike/sikep503" + "circl/kem/sike/sikep751" ) var allSchemes = [...]kem.Scheme{ - kyber512.Scheme, - kyber768.Scheme, - kyber1024.Scheme, + kyber512.Scheme(), + kyber768.Scheme(), + kyber1024.Scheme(), + sikep434.Scheme(), + sikep503.Scheme(), + sikep751.Scheme(), } var allSchemeNames map[string]kem.Scheme diff --git a/src/circl/kem/schemes/schemes_test.go b/src/circl/kem/schemes/schemes_test.go index 233ccf8de7e..3cc3b1d281d 100644 --- a/src/circl/kem/schemes/schemes_test.go +++ b/src/circl/kem/schemes/schemes_test.go @@ -13,6 +13,45 @@ func TestCaseSensitivity(t *testing.T) { } } +func BenchmarkGenerateKey(b *testing.B) { + allSchemes := schemes.All() + for _, scheme := range allSchemes { + scheme := scheme + b.Run(scheme.Name(), func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _, _ = scheme.GenerateKey() + } + }) + } +} + +func BenchmarkEncapsulate(b *testing.B) { + allSchemes := schemes.All() + for _, scheme := range allSchemes { + scheme := scheme + pk, _, _ := scheme.GenerateKey() + b.Run(scheme.Name(), func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _, _ = scheme.Encapsulate(pk) + } + }) + } +} + +func BenchmarkDecapsulate(b *testing.B) { + allSchemes := schemes.All() + for _, scheme := range allSchemes { + scheme := scheme + pk, sk, _ := scheme.GenerateKey() + ct, _, _ := scheme.Encapsulate(pk) + b.Run(scheme.Name(), func(b *testing.B) { + for i := 0; i < b.N; i++ { + _, _ = scheme.Decapsulate(sk, ct) + } + }) + } +} + func TestApi(t *testing.T) { allSchemes := schemes.All() for _, scheme := range allSchemes { @@ -63,8 +102,10 @@ func TestApi(t *testing.T) { t.Fatal() } - ct, ss := scheme.Encapsulate(pk2) - + ct, ss, err := scheme.Encapsulate(pk2) + if err != nil { + t.Fatal(err) + } if len(ct) != scheme.CiphertextSize() { t.Fatal() } @@ -72,7 +113,10 @@ func TestApi(t *testing.T) { t.Fatal() } - ss2 := scheme.Decapsulate(sk2, ct) + ss2, err := scheme.Decapsulate(sk2, ct) + if err != nil { + t.Fatal(err) + } if !bytes.Equal(ss, ss2) { t.Fatal() } diff --git a/src/circl/kem/sike/doc.go b/src/circl/kem/sike/doc.go new file mode 100644 index 00000000000..a2cb5e34bff --- /dev/null +++ b/src/circl/kem/sike/doc.go @@ -0,0 +1,4 @@ +//go:generate go run gen.go + +// Package sike contains the SIKE key encapsulation mechanism. +package sike diff --git a/src/circl/kem/sike/gen.go b/src/circl/kem/sike/gen.go new file mode 100644 index 00000000000..149ce43e388 --- /dev/null +++ b/src/circl/kem/sike/gen.go @@ -0,0 +1,68 @@ +// +build ignore + +// Autogenerates wrappers from templates to prevent too much duplicated code +// between the code for different modes. +package main + +import ( + "bytes" + "fmt" + "io/ioutil" + "strings" + "text/template" +) + +type Instance struct { + Bits int +} + +func (m Instance) Pkg() string { + return strings.ToLower(m.Name()) +} + +func (m Instance) Name() string { + return fmt.Sprintf("SIKEp%d", m.Bits) +} + +func (m Instance) Field() string { + return fmt.Sprintf("Fp%d", m.Bits) +} + +var ( + Instances = []Instance{ + {Bits: 434}, + {Bits: 503}, + {Bits: 751}, + } + TemplateWarning = "// Code generated from" +) + +func main() { + generatePackageFiles() +} + +// Generates instance/sike.go from templates/pkg.templ.go +func generatePackageFiles() { + tl, err := template.ParseFiles("templates/pkg.templ.go") + if err != nil { + panic(err) + } + + for _, mode := range Instances { + buf := new(bytes.Buffer) + err := tl.Execute(buf, mode) + if err != nil { + panic(err) + } + + res := string(buf.Bytes()) + offset := strings.Index(res, TemplateWarning) + if offset == -1 { + panic("Missing template warning in pkg.templ.go") + } + err = ioutil.WriteFile(mode.Pkg()+"/sike.go", []byte(res[offset:]), 0644) + if err != nil { + panic(err) + } + } +} diff --git a/src/circl/kem/sike/sikep434/sike.go b/src/circl/kem/sike/sikep434/sike.go new file mode 100644 index 00000000000..5eb65cbac05 --- /dev/null +++ b/src/circl/kem/sike/sikep434/sike.go @@ -0,0 +1,189 @@ +// Code generated from pkg.templ.go. DO NOT EDIT. + +// sikep434 implements the key encapsulation mechanism SIKEp434. +package sikep434 + +import ( + "circl/dh/sidh" + "circl/internal/sha3" + "circl/kem" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +type PrivateKey sidh.PrivateKey +type PublicKey sidh.PublicKey + +const ( + SeedSize = 32 + EncapsulationSeedSize = 32 +) + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +var params *sidh.KEM + +func (*scheme) Name() string { return "SIKEp434" } +func (*scheme) PublicKeySize() int { return params.PublicKeySize() } +func (*scheme) PrivateKeySize() int { return params.PrivateKeySize() } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) SharedKeySize() int { return params.SharedSecretSize() } +func (*scheme) CiphertextSize() int { return params.CiphertextSize() } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + csk := (*sidh.PrivateKey)(sk) + ret := make([]byte, csk.Size()) + csk.Export(ret) + return ret, nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + a, _ := sk.MarshalBinary() + b, _ := oth.MarshalBinary() + return subtle.ConstantTimeCompare(a, b) == 1 +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + a, _ := pk.MarshalBinary() + b, _ := oth.MarshalBinary() + return bytes.Equal(a, b) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + cpk := (*sidh.PublicKey)(pk) + ret := make([]byte, cpk.Size()) + cpk.Export(ret) + return ret, nil +} + +func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { + sk := sidh.NewPrivateKey(sidh.Fp434, sidh.KeyVariantSike) + pk := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) + + if err := sk.Generate(rand); err != nil { + return nil, nil, err + } + + sk.GeneratePublicKey(pk) + + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != SeedSize { + panic(kem.ErrSeedSize) + } + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + pk, sk, err := GenerateKey(&h) + + if err != nil { + panic(err) + } + + return pk, sk +} + +func (sch *scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte, err error) { + var seed [EncapsulationSeedSize]byte + cryptoRand.Read(seed[:]) + return sch.EncapsulateDeterministically(pk, seed[:]) +} + +func (sch *scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct []byte, ss []byte, err error) { + if len(seed) != EncapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + pub, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ct = make([]byte, sch.CiphertextSize()) + ss = make([]byte, sch.SharedKeySize()) + + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + ctx := sidh.NewSike434(&h) + + if err := ctx.Encapsulate(ct, ss, (*sidh.PublicKey)(pub)); err != nil { + return nil, nil, err + } + return ct, ss, nil +} + +func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + if len(ct) != sch.CiphertextSize() { + return nil, kem.ErrCiphertextSize + } + + priv, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + sikePriv := (*sidh.PrivateKey)(priv) + + sikePub := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) + sikePriv.GeneratePublicKey(sikePub) + + ss := make([]byte, sch.SharedKeySize()) + + ctx := sidh.NewSike434(nil) + if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + return nil, err + } + + return ss, nil +} + +func (sch *scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != sch.PublicKeySize() { + return nil, kem.ErrPubKeySize + } + pk := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) + if err := pk.Import(buf); err != nil { + return nil, err + } + return (*PublicKey)(pk), nil +} + +func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != sch.PrivateKeySize() { + return nil, kem.ErrPrivKeySize + } + sk := sidh.NewPrivateKey(sidh.Fp434, sidh.KeyVariantSike) + if err := sk.Import(buf); err != nil { + return nil, err + } + return (*PrivateKey)(sk), nil +} + +func init() { + params = sidh.NewSike434(nil) +} diff --git a/src/circl/kem/sike/sikep503/sike.go b/src/circl/kem/sike/sikep503/sike.go new file mode 100644 index 00000000000..7197e50f8c7 --- /dev/null +++ b/src/circl/kem/sike/sikep503/sike.go @@ -0,0 +1,189 @@ +// Code generated from pkg.templ.go. DO NOT EDIT. + +// sikep503 implements the key encapsulation mechanism SIKEp503. +package sikep503 + +import ( + "circl/dh/sidh" + "circl/internal/sha3" + "circl/kem" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +type PrivateKey sidh.PrivateKey +type PublicKey sidh.PublicKey + +const ( + SeedSize = 32 + EncapsulationSeedSize = 32 +) + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +var params *sidh.KEM + +func (*scheme) Name() string { return "SIKEp503" } +func (*scheme) PublicKeySize() int { return params.PublicKeySize() } +func (*scheme) PrivateKeySize() int { return params.PrivateKeySize() } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) SharedKeySize() int { return params.SharedSecretSize() } +func (*scheme) CiphertextSize() int { return params.CiphertextSize() } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + csk := (*sidh.PrivateKey)(sk) + ret := make([]byte, csk.Size()) + csk.Export(ret) + return ret, nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + a, _ := sk.MarshalBinary() + b, _ := oth.MarshalBinary() + return subtle.ConstantTimeCompare(a, b) == 1 +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + a, _ := pk.MarshalBinary() + b, _ := oth.MarshalBinary() + return bytes.Equal(a, b) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + cpk := (*sidh.PublicKey)(pk) + ret := make([]byte, cpk.Size()) + cpk.Export(ret) + return ret, nil +} + +func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { + sk := sidh.NewPrivateKey(sidh.Fp503, sidh.KeyVariantSike) + pk := sidh.NewPublicKey(sidh.Fp503, sidh.KeyVariantSike) + + if err := sk.Generate(rand); err != nil { + return nil, nil, err + } + + sk.GeneratePublicKey(pk) + + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != SeedSize { + panic(kem.ErrSeedSize) + } + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + pk, sk, err := GenerateKey(&h) + + if err != nil { + panic(err) + } + + return pk, sk +} + +func (sch *scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte, err error) { + var seed [EncapsulationSeedSize]byte + cryptoRand.Read(seed[:]) + return sch.EncapsulateDeterministically(pk, seed[:]) +} + +func (sch *scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct []byte, ss []byte, err error) { + if len(seed) != EncapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + pub, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ct = make([]byte, sch.CiphertextSize()) + ss = make([]byte, sch.SharedKeySize()) + + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + ctx := sidh.NewSike503(&h) + + if err := ctx.Encapsulate(ct, ss, (*sidh.PublicKey)(pub)); err != nil { + return nil, nil, err + } + return ct, ss, nil +} + +func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + if len(ct) != sch.CiphertextSize() { + return nil, kem.ErrCiphertextSize + } + + priv, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + sikePriv := (*sidh.PrivateKey)(priv) + + sikePub := sidh.NewPublicKey(sidh.Fp503, sidh.KeyVariantSike) + sikePriv.GeneratePublicKey(sikePub) + + ss := make([]byte, sch.SharedKeySize()) + + ctx := sidh.NewSike503(nil) + if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + return nil, err + } + + return ss, nil +} + +func (sch *scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != sch.PublicKeySize() { + return nil, kem.ErrPubKeySize + } + pk := sidh.NewPublicKey(sidh.Fp503, sidh.KeyVariantSike) + if err := pk.Import(buf); err != nil { + return nil, err + } + return (*PublicKey)(pk), nil +} + +func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != sch.PrivateKeySize() { + return nil, kem.ErrPrivKeySize + } + sk := sidh.NewPrivateKey(sidh.Fp503, sidh.KeyVariantSike) + if err := sk.Import(buf); err != nil { + return nil, err + } + return (*PrivateKey)(sk), nil +} + +func init() { + params = sidh.NewSike503(nil) +} diff --git a/src/circl/kem/sike/sikep751/sike.go b/src/circl/kem/sike/sikep751/sike.go new file mode 100644 index 00000000000..701e4b8b243 --- /dev/null +++ b/src/circl/kem/sike/sikep751/sike.go @@ -0,0 +1,189 @@ +// Code generated from pkg.templ.go. DO NOT EDIT. + +// sikep751 implements the key encapsulation mechanism SIKEp751. +package sikep751 + +import ( + "circl/dh/sidh" + "circl/internal/sha3" + "circl/kem" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +type PrivateKey sidh.PrivateKey +type PublicKey sidh.PublicKey + +const ( + SeedSize = 32 + EncapsulationSeedSize = 32 +) + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +var params *sidh.KEM + +func (*scheme) Name() string { return "SIKEp751" } +func (*scheme) PublicKeySize() int { return params.PublicKeySize() } +func (*scheme) PrivateKeySize() int { return params.PrivateKeySize() } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) SharedKeySize() int { return params.SharedSecretSize() } +func (*scheme) CiphertextSize() int { return params.CiphertextSize() } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + csk := (*sidh.PrivateKey)(sk) + ret := make([]byte, csk.Size()) + csk.Export(ret) + return ret, nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + a, _ := sk.MarshalBinary() + b, _ := oth.MarshalBinary() + return subtle.ConstantTimeCompare(a, b) == 1 +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + a, _ := pk.MarshalBinary() + b, _ := oth.MarshalBinary() + return bytes.Equal(a, b) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + cpk := (*sidh.PublicKey)(pk) + ret := make([]byte, cpk.Size()) + cpk.Export(ret) + return ret, nil +} + +func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { + sk := sidh.NewPrivateKey(sidh.Fp751, sidh.KeyVariantSike) + pk := sidh.NewPublicKey(sidh.Fp751, sidh.KeyVariantSike) + + if err := sk.Generate(rand); err != nil { + return nil, nil, err + } + + sk.GeneratePublicKey(pk) + + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != SeedSize { + panic(kem.ErrSeedSize) + } + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + pk, sk, err := GenerateKey(&h) + + if err != nil { + panic(err) + } + + return pk, sk +} + +func (sch *scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte, err error) { + var seed [EncapsulationSeedSize]byte + cryptoRand.Read(seed[:]) + return sch.EncapsulateDeterministically(pk, seed[:]) +} + +func (sch *scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct []byte, ss []byte, err error) { + if len(seed) != EncapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + pub, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ct = make([]byte, sch.CiphertextSize()) + ss = make([]byte, sch.SharedKeySize()) + + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + ctx := sidh.NewSike751(&h) + + if err := ctx.Encapsulate(ct, ss, (*sidh.PublicKey)(pub)); err != nil { + return nil, nil, err + } + return ct, ss, nil +} + +func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + if len(ct) != sch.CiphertextSize() { + return nil, kem.ErrCiphertextSize + } + + priv, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + sikePriv := (*sidh.PrivateKey)(priv) + + sikePub := sidh.NewPublicKey(sidh.Fp751, sidh.KeyVariantSike) + sikePriv.GeneratePublicKey(sikePub) + + ss := make([]byte, sch.SharedKeySize()) + + ctx := sidh.NewSike751(nil) + if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + return nil, err + } + + return ss, nil +} + +func (sch *scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != sch.PublicKeySize() { + return nil, kem.ErrPubKeySize + } + pk := sidh.NewPublicKey(sidh.Fp751, sidh.KeyVariantSike) + if err := pk.Import(buf); err != nil { + return nil, err + } + return (*PublicKey)(pk), nil +} + +func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != sch.PrivateKeySize() { + return nil, kem.ErrPrivKeySize + } + sk := sidh.NewPrivateKey(sidh.Fp751, sidh.KeyVariantSike) + if err := sk.Import(buf); err != nil { + return nil, err + } + return (*PrivateKey)(sk), nil +} + +func init() { + params = sidh.NewSike751(nil) +} diff --git a/src/circl/kem/sike/templates/pkg.templ.go b/src/circl/kem/sike/templates/pkg.templ.go new file mode 100644 index 00000000000..0818b3361dc --- /dev/null +++ b/src/circl/kem/sike/templates/pkg.templ.go @@ -0,0 +1,193 @@ +// +build ignore +// The previous line (and this one up to the warning below) is removed by the +// template generator. + +// Code generated from pkg.templ.go. DO NOT EDIT. + +// {{.Pkg}} implements the key encapsulation mechanism {{.Name}}. +package {{.Pkg}} + +import ( + "circl/dh/sidh" + "circl/internal/sha3" + "circl/kem" + + "bytes" + cryptoRand "crypto/rand" + "crypto/subtle" + "io" +) + +type PrivateKey sidh.PrivateKey +type PublicKey sidh.PublicKey + +const ( + SeedSize = 32 + EncapsulationSeedSize = 32 +) + +type scheme struct{} + +var sch kem.Scheme = &scheme{} + +// Scheme returns a KEM interface. +func Scheme() kem.Scheme { return sch } + +var params *sidh.KEM + +func (*scheme) Name() string { return "{{.Name}}" } +func (*scheme) PublicKeySize() int { return params.PublicKeySize() } +func (*scheme) PrivateKeySize() int { return params.PrivateKeySize() } +func (*scheme) SeedSize() int { return SeedSize } +func (*scheme) SharedKeySize() int { return params.SharedSecretSize() } +func (*scheme) CiphertextSize() int { return params.CiphertextSize() } +func (*scheme) EncapsulationSeedSize() int { return EncapsulationSeedSize } + +func (sk *PrivateKey) Scheme() kem.Scheme { return sch } +func (pk *PublicKey) Scheme() kem.Scheme { return sch } + +func (sk *PrivateKey) MarshalBinary() ([]byte, error) { + csk := (*sidh.PrivateKey)(sk) + ret := make([]byte, csk.Size()) + csk.Export(ret) + return ret, nil +} + +func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*PrivateKey) + if !ok { + return false + } + a, _ := sk.MarshalBinary() + b, _ := oth.MarshalBinary() + return subtle.ConstantTimeCompare(a, b) == 1 +} + +func (pk *PublicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*PublicKey) + if !ok { + return false + } + a, _ := pk.MarshalBinary() + b, _ := oth.MarshalBinary() + return bytes.Equal(a, b) +} + +func (pk *PublicKey) MarshalBinary() ([]byte, error) { + cpk := (*sidh.PublicKey)(pk) + ret := make([]byte, cpk.Size()) + cpk.Export(ret) + return ret, nil +} + +func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { + sk := sidh.NewPrivateKey(sidh.{{.Field}}, sidh.KeyVariantSike) + pk := sidh.NewPublicKey(sidh.{{.Field}}, sidh.KeyVariantSike) + + if err := sk.Generate(rand); err != nil { + return nil, nil, err + } + + sk.GeneratePublicKey(pk) + + return (*PublicKey)(pk), (*PrivateKey)(sk), nil +} + +func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKey(cryptoRand.Reader) +} + +func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != SeedSize { + panic(kem.ErrSeedSize) + } + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + pk, sk, err := GenerateKey(&h) + + if err != nil { + panic(err) + } + + return pk, sk +} + +func (sch *scheme) Encapsulate(pk kem.PublicKey) (ct []byte, ss []byte, err error) { + var seed [EncapsulationSeedSize]byte + cryptoRand.Read(seed[:]) + return sch.EncapsulateDeterministically(pk, seed[:]) +} + +func (sch *scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) (ct []byte, ss []byte, err error) { + if len(seed) != EncapsulationSeedSize { + return nil, nil, kem.ErrSeedSize + } + + pub, ok := pk.(*PublicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ct = make([]byte, sch.CiphertextSize()) + ss = make([]byte, sch.SharedKeySize()) + + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + ctx := sidh.NewSike{{.Bits}}(&h) + + if err := ctx.Encapsulate(ct, ss, (*sidh.PublicKey)(pub)); err != nil { + return nil, nil, err + } + return ct, ss, nil +} + +func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + if len(ct) != sch.CiphertextSize() { + return nil, kem.ErrCiphertextSize + } + + priv, ok := sk.(*PrivateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + sikePriv := (*sidh.PrivateKey)(priv) + + sikePub := sidh.NewPublicKey(sidh.{{.Field}}, sidh.KeyVariantSike) + sikePriv.GeneratePublicKey(sikePub) + + ss := make([]byte, sch.SharedKeySize()) + + ctx := sidh.NewSike{{.Bits}}(nil) + if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + return nil, err + } + + return ss, nil +} + +func (sch *scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != sch.PublicKeySize() { + return nil, kem.ErrPubKeySize + } + pk := sidh.NewPublicKey(sidh.{{.Field}}, sidh.KeyVariantSike) + if err := pk.Import(buf); err != nil { + return nil, err + } + return (*PublicKey)(pk), nil +} + +func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != sch.PrivateKeySize() { + return nil, kem.ErrPrivKeySize + } + sk := sidh.NewPrivateKey(sidh.{{.Field}}, sidh.KeyVariantSike) + if err := sk.Import(buf); err != nil { + return nil, err + } + return (*PrivateKey)(sk), nil +} + +func init() { + params = sidh.NewSike{{.Bits}}(nil) +} diff --git a/src/circl/oprf/client.go b/src/circl/oprf/client.go new file mode 100644 index 00000000000..c671264e861 --- /dev/null +++ b/src/circl/oprf/client.go @@ -0,0 +1,170 @@ +package oprf + +import ( + "crypto/rand" + "errors" +) + +// Client is a representation of a OPRF client during protocol execution. +type Client struct { + suite + pkS *PublicKey +} + +// ClientRequest is a structure to encapsulate the output of a Request call. +type ClientRequest struct { + inputs [][]byte + blinds []Blind + BlindedElements []Blinded +} + +// NewClient creates a client in base mode. +func NewClient(id SuiteID) (*Client, error) { + suite, err := suiteFromID(id, BaseMode) + if err != nil { + return nil, err + } + return &Client{*suite, nil}, nil +} + +// NewVerifiableClient creates a client in verifiable mode. A server's public +// key must be provided. +func NewVerifiableClient(id SuiteID, pkS *PublicKey) (*Client, error) { + suite, err := suiteFromID(id, VerifiableMode) + if err != nil { + return nil, err + } + if pkS == nil { + return nil, errors.New("no public key was provided") + } else if id != pkS.s { // Verifies key corresponds to SuiteID. + return nil, errors.New("key doesn't match with suite") + } + return &Client{*suite, pkS}, nil +} + +// Request generates a request for server passing an array of inputs to be +// evaluated by server. +func (c *Client) Request(inputs [][]byte) (*ClientRequest, error) { + if len(inputs) == 0 { + return nil, errors.New("few inputs") + } + + blinds := make([]Blind, len(inputs)) + for i := range inputs { + blinds[i] = c.suite.Group.RandomScalar(rand.Reader) + } + + return c.blind(inputs, blinds) +} + +func (c *Client) blind(inputs [][]byte, blinds []Blind) (*ClientRequest, error) { + var err error + blindedElements := make([]Blinded, len(inputs)) + for i := range inputs { + p := c.suite.Group.HashToElement(inputs[i], c.suite.getDST(hashToGroupDST)) + blindedElements[i], err = c.scalarMult(p, blinds[i]) + if err != nil { + return nil, err + } + } + return &ClientRequest{inputs, blinds, blindedElements}, nil +} + +// Finalize computes the signed token from the server Evaluation and returns +// the output of the OPRF protocol. The function uses server's public key +// to verify the proof in verifiable mode. +func (c *Client) Finalize(r *ClientRequest, e *Evaluation, info []byte) ([][]byte, error) { + l := len(r.blinds) + if len(r.BlindedElements) != l || len(e.Elements) != l { + return nil, errors.New("mismatch number of elements") + } + + if c.Mode == VerifiableMode { + if !c.verifyProof(r.BlindedElements, e) { + return nil, errors.New("invalid proof") + } + } + + unblindedElements, err := c.unblind(e.Elements, r.blinds) + if err != nil { + return nil, err + } + outputs := make([][]byte, l) + for i := 0; i < l; i++ { + outputs[i] = c.finalizeHash(r.inputs[i], unblindedElements[i], info) + } + return outputs, nil +} + +func (c *Client) verifyProof(blinds []Blinded, e *Evaluation) bool { + pkSm, err := c.pkS.Serialize() + if err != nil { + return false + } + a0, a1, err := c.computeComposites(pkSm, blinds, e.Elements, nil) + if err != nil { + return false + } + M := c.suite.Group.NewElement() + err = M.UnmarshalBinary(a0) + if err != nil { + return false + } + Z := c.suite.Group.NewElement() + err = Z.UnmarshalBinary(a1) + if err != nil { + return false + } + + sG := c.suite.Group.NewElement() + ss := c.suite.Group.NewScalar() + err = ss.UnmarshalBinary(e.Proof.S) + if err != nil { + return false + } + sG.MulGen(ss) + + cP := c.suite.Group.NewElement() + cc := c.suite.Group.NewScalar() + err = cc.UnmarshalBinary(e.Proof.C) + if err != nil { + return false + } + cP.Mul(c.pkS.e, cc) + sG.Add(sG, cP) + a2, err := sG.MarshalBinary() + if err != nil { + return false + } + + sM := c.suite.Group.NewElement() + sM.Mul(M, ss) + cZ := c.suite.Group.NewElement() + cZ.Mul(Z, cc) + sM.Add(sM, cZ) + a3, err := sM.MarshalBinary() + if err != nil { + return false + } + + gotC := c.doChallenge([5][]byte{pkSm, a0, a1, a2, a3}) + return gotC.IsEqual(cc) +} + +func (c *Client) unblind(e []SerializedElement, blinds []Blind) ([][]byte, error) { + unblindedElements := make([][]byte, len(e)) + p := c.Group.NewElement() + invBlind := c.Group.NewScalar() + for i := range e { + err := p.UnmarshalBinary(e[i]) + if err != nil { + return nil, err + } + invBlind.Inv(blinds[i]) + unblindedElements[i], err = c.scalarMult(p, invBlind) + if err != nil { + return nil, err + } + } + return unblindedElements, nil +} diff --git a/src/circl/oprf/keys.go b/src/circl/oprf/keys.go new file mode 100644 index 00000000000..0d9b526bb73 --- /dev/null +++ b/src/circl/oprf/keys.go @@ -0,0 +1,53 @@ +package oprf + +import ( + "circl/group" +) + +type PrivateKey struct { + s SuiteID + k group.Scalar +} +type PublicKey struct { + s SuiteID + e group.Element +} + +func (k *PrivateKey) Serialize() ([]byte, error) { return k.k.MarshalBinary() } +func (k *PublicKey) Serialize() ([]byte, error) { return k.e.MarshalBinary() } + +func (k *PrivateKey) Deserialize(id SuiteID, data []byte) error { + suite, err := suiteFromID(id, BaseMode) + if err != nil { + return err + } + k.s = id + k.k = suite.Group.NewScalar() + return k.k.UnmarshalBinary(data) +} + +func (k *PublicKey) Deserialize(id SuiteID, data []byte) error { + suite, err := suiteFromID(id, BaseMode) + if err != nil { + return err + } + k.s = id + k.e = suite.Group.NewElement() + return k.e.UnmarshalBinary(data) +} + +func (k *PrivateKey) Public() *PublicKey { + suite, _ := suiteFromID(k.s, BaseMode) + publicKey := suite.Group.NewElement() + publicKey.MulGen(k.k) + return &PublicKey{k.s, publicKey} +} + +// GenerateKey generates a pair of keys in accordance with the suite. +func GenerateKey(id SuiteID) (*PrivateKey, error) { + suite, err := suiteFromID(id, BaseMode) + if err != nil { + return nil, err + } + return suite.generateKey(), nil +} diff --git a/src/circl/oprf/oprf.go b/src/circl/oprf/oprf.go new file mode 100644 index 00000000000..24804cd1377 --- /dev/null +++ b/src/circl/oprf/oprf.go @@ -0,0 +1,244 @@ +// Package oprf provides an Oblivious Pseudo-Random Function protocol. +// +// An Oblivious Pseudorandom Function (OPRFs) is a two-party protocol for +// computing the output of a PRF. One party (the server) holds the PRF secret +// key, and the other (the client) holds the PRF input. +// +// Obliviousness: Ensures that the server does not learn anything +// about the client's input during the Evaluation step. +// +// Verifiability: Allows the client to verify that the server used +// a committed secret key during Evaluation step. +// +// OPRF is defined on draft-irtf-cfrg-voprf: https://datatracker.ietf.org/doc/draft-irtf-cfrg-voprf +// +package oprf + +import ( + "crypto" + "crypto/rand" + "encoding/binary" + "errors" + "io" + + "circl/group" +) + +const ( + version = "VOPRF06-" + seedDST = "Seed-" + challengeDST = "Challenge-" + finalizeDST = "Finalize-" + compositeDST = "Composite-" + hashToGroupDST = "HashToGroup-" +) + +// SuiteID identifies supported suites. +type SuiteID = uint16 + +const ( + // OPRFP256 represents the OPRF with P-256 and SHA-256. + OPRFP256 SuiteID = 0x0003 + // OPRFP384 represents the OPRF with P-384 and SHA-512. + OPRFP384 SuiteID = 0x0004 + // OPRFP521 represents the OPRF with P-521 and SHA-512. + OPRFP521 SuiteID = 0x0005 +) + +// Mode specifies properties of the OPRF protocol. +type Mode = uint8 + +const ( + // BaseMode provides obliviousness. + BaseMode Mode = 0x00 + // VerifiableMode provides obliviousness and verifiability. + VerifiableMode Mode = 0x01 +) + +// ErrUnsupportedSuite is thrown when requesting a non-supported suite. +var ErrUnsupportedSuite = errors.New("non-supported suite") + +type Blind group.Scalar +type SerializedElement = []byte +type Blinded = []byte + +type Proof struct { + C, S []byte +} + +type Evaluation struct { + Elements []SerializedElement + Proof *Proof +} + +type suite struct { + SuiteID + Mode + group.Group + crypto.Hash +} + +func suiteFromID(id SuiteID, m Mode) (*suite, error) { + if !(m == BaseMode || m == VerifiableMode) { + return nil, ErrUnsupportedSuite + } + switch id { + case OPRFP256: + return &suite{id, m, group.P256, crypto.SHA256}, nil + case OPRFP384: + return &suite{id, m, group.P384, crypto.SHA512}, nil + case OPRFP521: + return &suite{id, m, group.P521, crypto.SHA512}, nil + default: + return nil, ErrUnsupportedSuite + } +} + +func (s *suite) GetMode() Mode { return s.Mode } +func (s *suite) getDST(name string) []byte { + return append(append(append([]byte{}, + []byte(version)...), + []byte(name)...), + []byte{s.Mode, 0, byte(s.SuiteID)}...) +} + +func (s *suite) generateKey() *PrivateKey { + privateKey := s.Group.RandomScalar(rand.Reader) + return &PrivateKey{s.SuiteID, privateKey} +} + +func (s *suite) scalarMult(e group.Element, k group.Scalar) ([]byte, error) { + t := s.Group.NewElement() + t.Mul(e, k) + return t.MarshalBinaryCompress() +} + +func (s *suite) finalizeHash(input, element, info []byte) []byte { + h := s.New() + + lenBuf := []byte{0, 0} + + binary.BigEndian.PutUint16(lenBuf, uint16(len(input))) + mustWrite(h, lenBuf) + mustWrite(h, input) + + binary.BigEndian.PutUint16(lenBuf, uint16(len(element))) + mustWrite(h, lenBuf) + mustWrite(h, element) + + binary.BigEndian.PutUint16(lenBuf, uint16(len(info))) + mustWrite(h, lenBuf) + mustWrite(h, info) + + dst := s.getDST(finalizeDST) + binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) + mustWrite(h, lenBuf) + mustWrite(h, dst) + + return h.Sum(nil) +} + +func mustWrite(h io.Writer, bytes []byte) { + bytesLen, err := h.Write(bytes) + if err != nil { + panic(err) + } + if len(bytes) != bytesLen { + panic("failed to write") + } +} + +func (s *suite) computeComposites( + pkSm []byte, + b []Blinded, + eval []SerializedElement, + skS group.Scalar, +) ([]byte, []byte, error) { + lenBuf := []byte{0, 0} + + H := s.New() + + binary.BigEndian.PutUint16(lenBuf, uint16(len(pkSm))) + mustWrite(H, lenBuf) + mustWrite(H, pkSm) + + dst := s.getDST(seedDST) + binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) + mustWrite(H, lenBuf) + mustWrite(H, dst) + + seed := H.Sum(nil) + + M := s.Group.Identity() + Z := s.Group.Identity() + Mi := s.Group.NewElement() + Zi := s.Group.NewElement() + h2gDST := s.getDST(hashToGroupDST) + for i := range b { + h2Input := []byte{} + + binary.BigEndian.PutUint16(lenBuf, uint16(len(seed))) + h2Input = append(append(h2Input, lenBuf...), seed...) + + binary.BigEndian.PutUint16(lenBuf, uint16(i)) + h2Input = append(h2Input, lenBuf...) + + binary.BigEndian.PutUint16(lenBuf, uint16(len(b[i]))) + h2Input = append(append(h2Input, lenBuf...), b[i]...) + + binary.BigEndian.PutUint16(lenBuf, uint16(len(eval[i]))) + h2Input = append(append(h2Input, lenBuf...), eval[i]...) + + dst := s.getDST(compositeDST) + binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) + h2Input = append(append(h2Input, lenBuf...), dst...) + + di := s.Group.HashToScalar(h2Input, h2gDST) + err := Mi.UnmarshalBinary(b[i]) + if err != nil { + return nil, nil, err + } + Mi.Mul(Mi, di) + M.Add(M, Mi) + + if skS == nil { + err = Zi.UnmarshalBinary(eval[i]) + if err != nil { + return nil, nil, err + } + Zi.Mul(Zi, di) + Z.Add(Z, Zi) + } + } + + if skS != nil { + Z.Mul(M, skS) + } + + serM, err := M.MarshalBinary() + if err != nil { + return nil, nil, err + } + serZ, err := Z.MarshalBinary() + if err != nil { + return nil, nil, err + } + + return serM, serZ, nil +} + +func (s *suite) doChallenge(a [5][]byte) group.Scalar { + h2Input := []byte{} + lenBuf := []byte{0, 0} + + for i := range a { + binary.BigEndian.PutUint16(lenBuf, uint16(len(a[i]))) + h2Input = append(append(h2Input, lenBuf...), a[i]...) + } + + dst := s.getDST(challengeDST) + binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) + h2Input = append(append(h2Input, lenBuf...), dst...) + + return s.Group.HashToScalar(h2Input, s.getDST(hashToGroupDST)) +} diff --git a/src/circl/oprf/oprf_test.go b/src/circl/oprf/oprf_test.go new file mode 100644 index 00000000000..3964cd19d86 --- /dev/null +++ b/src/circl/oprf/oprf_test.go @@ -0,0 +1,129 @@ +package oprf_test + +import ( + "bytes" + "fmt" + "testing" + + "circl/internal/test" + "circl/oprf" +) + +func TestOPRF(t *testing.T) { + for _, suite := range []oprf.SuiteID{ + oprf.OPRFP256, + oprf.OPRFP384, + oprf.OPRFP521, + } { + for _, mode := range []oprf.Mode{ + oprf.BaseMode, + oprf.VerifiableMode, + } { + suite, mode := suite, mode + name := fmt.Sprintf("Suite%v/Mode%v", suite, mode) + t.Run("API/"+name, func(tt *testing.T) { testAPI(tt, suite, mode) }) + t.Run("Serde/"+name, func(tt *testing.T) { testSerialization(tt, suite, mode) }) + } + } +} + +func testSerialization(t *testing.T, suite oprf.SuiteID, mode oprf.Mode) { + privateKey, err := oprf.GenerateKey(suite) + test.CheckNoErr(t, err, "invalid key generation") + + var server *oprf.Server + if mode == oprf.BaseMode { + server, err = oprf.NewServer(suite, privateKey) + } else if mode == oprf.VerifiableMode { + server, err = oprf.NewVerifiableServer(suite, privateKey) + } + test.CheckNoErr(t, err, "invalid setup of server") + + input := []byte("hello world") + info := []byte("info") + outputA, err := server.FullEvaluate(input, info) + test.CheckNoErr(t, err, "wrong full evaluate") + + encoded, err := privateKey.Serialize() + test.CheckNoErr(t, err, "wrong serialize") + + recoveredPrivateKey := new(oprf.PrivateKey) + err = recoveredPrivateKey.Deserialize(suite, encoded) + test.CheckNoErr(t, err, "wrong deserialize") + + var recoveredServer *oprf.Server + if mode == oprf.BaseMode { + recoveredServer, err = oprf.NewServer(suite, recoveredPrivateKey) + } else if mode == oprf.VerifiableMode { + recoveredServer, err = oprf.NewVerifiableServer(suite, recoveredPrivateKey) + } + test.CheckNoErr(t, err, "invalid setup of server with key") + + outputB, err := recoveredServer.FullEvaluate(input, info) + test.CheckNoErr(t, err, "invalid full evaluate") + + got := outputA + want := outputB + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, suite, mode) + } +} + +func testAPI(t *testing.T, suite oprf.SuiteID, mode oprf.Mode) { + var err error + var server *oprf.Server + if mode == oprf.BaseMode { + server, err = oprf.NewServer(suite, nil) + } else if mode == oprf.VerifiableMode { + server, err = oprf.NewVerifiableServer(suite, nil) + } + test.CheckNoErr(t, err, "invalid setup of server") + + var client *oprf.Client + if mode == oprf.BaseMode { + client, err = oprf.NewClient(suite) + } else if mode == oprf.VerifiableMode { + pkS := server.GetPublicKey() + client, err = oprf.NewVerifiableClient(suite, pkS) + } + test.CheckNoErr(t, err, "invalid setup of client") + + inputs := [][]byte{{0x00}, {0xFF}} + cr, err := client.Request(inputs) + if err != nil { + t.Fatal("invalid blinding of client: " + err.Error()) + } + + eval, err := server.Evaluate(cr.BlindedElements) + if err != nil { + t.Fatal("invalid evaluation of server: " + err.Error()) + } + if eval == nil { + t.Fatal("invalid evaluation of server: no evaluation") + } + + info := []byte("test information") + clientOutputs, err := client.Finalize(cr, eval, info) + if err != nil { + t.Fatal("invalid unblinding of client: " + err.Error()) + } + + if clientOutputs == nil { + t.Fatal("invalid finalizing of client: no final byte array.") + } + + for i := range inputs { + valid := server.VerifyFinalize(inputs[i], info, clientOutputs[i]) + if !valid { + t.Fatal("Invalid verification from the server") + } + + serverOutput, err := server.FullEvaluate(inputs[i], info) + if err != nil { + t.Fatal("FullEvaluate failed", err) + } + if !bytes.Equal(serverOutput, clientOutputs[i]) { + t.Fatalf("Client and server OPRF output mismatch, got client output %x, expected server output %x", serverOutput, clientOutputs[i]) + } + } +} diff --git a/src/circl/oprf/server.go b/src/circl/oprf/server.go new file mode 100644 index 00000000000..57097c563ca --- /dev/null +++ b/src/circl/oprf/server.go @@ -0,0 +1,144 @@ +package oprf + +import ( + "crypto/rand" + "crypto/subtle" + "errors" +) + +// Server is a representation of a OPRF server during protocol execution. +type Server struct { + suite + privateKey PrivateKey +} + +// NewServer creates a Server in base mode, and generates a key if no skS is +// provided. +func NewServer(id SuiteID, skS *PrivateKey) (*Server, error) { + return newServer(id, BaseMode, skS) +} + +// NewVerifiableServer creates a Server in verifiable mode, and generates a +// key if no skS is provided. +func NewVerifiableServer(id SuiteID, skS *PrivateKey) (*Server, error) { + return newServer(id, VerifiableMode, skS) +} + +func newServer(id SuiteID, m Mode, skS *PrivateKey) (*Server, error) { + suite, err := suiteFromID(id, m) + if err != nil { + return nil, err + } + if skS == nil { + skS = suite.generateKey() + } else if id != skS.s { // Verifies key corresponds to SuiteID. + return nil, errors.New("key doesn't match with suite") + } + + return &Server{*suite, *skS}, nil +} + +func (s *Server) GetPublicKey() *PublicKey { return s.privateKey.Public() } + +// Evaluate evaluates a set of blinded inputs from the client. +func (s *Server) Evaluate(blindedElements []Blinded) (*Evaluation, error) { + l := len(blindedElements) + if l == 0 { + return nil, errors.New("no elements to evaluate") + } + + var err error + eval := make([]SerializedElement, l) + p := s.suite.NewElement() + + for i := range blindedElements { + err = p.UnmarshalBinary(blindedElements[i]) + if err != nil { + return nil, err + } + eval[i], err = s.scalarMult(p, s.privateKey.k) + if err != nil { + return nil, err + } + } + + var proof *Proof + if s.Mode == VerifiableMode { + proof, err = s.generateProof(blindedElements, eval) + if err != nil { + return nil, err + } + } + + return &Evaluation{eval, proof}, nil +} + +// FullEvaluate performs a full OPRF protocol at server-side. +func (s *Server) FullEvaluate(input, info []byte) ([]byte, error) { + p := s.Group.HashToElement(input, s.getDST(hashToGroupDST)) + + ser, err := s.scalarMult(p, s.privateKey.k) + if err != nil { + return nil, err + } + + return s.finalizeHash(input, ser, info), nil +} + +// VerifyFinalize performs a full OPRF protocol and returns true if the output +// matches the expected output. +func (s *Server) VerifyFinalize(input, info, expectedOutput []byte) bool { + gotOutput, err := s.FullEvaluate(input, info) + if err != nil { + return false + } + return subtle.ConstantTimeCompare(gotOutput, expectedOutput) == 1 +} + +func (s *Server) generateProof(b []Blinded, eval []SerializedElement) (*Proof, error) { + pkS := s.privateKey.Public() + pkSm, err := pkS.Serialize() + if err != nil { + return nil, err + } + + a0, a1, err := s.computeComposites(pkSm, b, eval, s.privateKey.k) + if err != nil { + return nil, err + } + M := s.Group.NewElement() + err = M.UnmarshalBinary(a0) + if err != nil { + return nil, err + } + rr := s.suite.Group.RandomScalar(rand.Reader) + + a2e := s.Group.NewElement() + a2e.MulGen(rr) + a2, err := a2e.MarshalBinary() + if err != nil { + return nil, err + } + + a3e := s.Group.NewElement() + a3e.Mul(M, rr) + a3, err := a3e.MarshalBinary() + if err != nil { + return nil, err + } + + cc := s.doChallenge([5][]byte{pkSm, a0, a1, a2, a3}) + ss := s.suite.Group.NewScalar() + ss.Mul(cc, s.privateKey.k) + ss.Sub(rr, ss) + + serC, err := cc.MarshalBinary() + if err != nil { + return nil, err + } + serS, err := ss.MarshalBinary() + if err != nil { + return nil, err + } + return &Proof{serC, serS}, nil +} diff --git a/src/circl/oprf/testdata/allVectors_v06.json b/src/circl/oprf/testdata/allVectors_v06.json new file mode 100644 index 00000000000..a81e4f614e5 --- /dev/null +++ b/src/circl/oprf/testdata/allVectors_v06.json @@ -0,0 +1,407 @@ +[ + { + "hash": "SHA512", + "mode": 0, + "skSm": "c604c785ada70d77a5256ae21767de8c3304115237d262134f5e46e512cf8e03", + "suiteID": 1, + "suiteName": "OPRF(ristretto255, SHA-512)", + "vectors": [ + { + "Batch": 1, + "Blind": "5ed895206bfc53316d307b23e46ecc6623afb3086da74189a416012be037e50b", + "BlindedElement": "5cccd309ec729aebe398c53e19c0ab09c24a29f01036960bdad109852e7bdb44", + "EvaluationElement": "86bd5eeabf29a87cb4a5c7207cb3ade5297e65f9b74c979bd3551891f4b21515", + "Info": 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"0200736c0d07ce6ccda8f0a8e31218ed844f7729c99438811f0d91a3cab6b0cde7b726cd65f9622e757d06bd8dad2894601e1635b3d345193a7ce47e2d58b5bfb5ffa3", + "EvaluationProof": { + "c": "019090a83fd579e254811a733469eaf9163efa8397bf61d54bc9f0b3d919e2e92ffddcdf8639bbad1cd9696d9f568452eef1ced4a3861af505dcdaf6321c7b3a069d", + "s": "00532d796210ea9e5eea285d358c8fdb4a1e8bc75593892765e13db6f64a52830fa2c55a1e5039f4aeea2309bdb1bb55f964113d4b25fd169cb91fd93dce6afd6199" + }, + "Info": "736f6d655f696e666f", + "Input": "5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", + "Output": "d9ee7a801a46c8c5c69c11340073b56f6ed4bec7a2b31b6e6776246beb9717f37c966f3e98f2156a3905f8c4ddc3740afaa653333718c37e46b5d06e4570d7b0", + "UnblindedElement": "02001f091d698d71ab48a00104ef005dd1feb85ca48bc5d113c9e6c2df3f079b8888d1ef24e0bfee75d90c712bc5d7ecd655b32cb7f0259654bacbf9766801ecc9a29f" + }, + { + "Batch": 2, + "Blind": "01daf5685928c72d9dab8ddfe45de734ce0d4ff5823d2e40c4fcf880e9a8272b46eea593b1095e7d38ba6ff37c42b3c4859761247a74d0c62c98ddff1365bb9b82b3,00b96540574e2bc92534ac475d6a3649f3e9cdf20a7e882066be571714f5db073555bc1bfebe1d50a04fd6656a439cf465109653bf8e484c01c5f8516f98f3159b40", + "BlindedElement": "0300d45e787f24a39c52cc290f0b202c03d320b1213a9dd4429df6b7f455a954b85815b5b379db5b4b9d665abaaf26366c91b8cd4884a2cddbf5be07420726de773fb7,030122ca1ad84feb6dc2832373011608a6d7f7f8e632c66cc6e134de50aa4317caa9c9b11cb281ae7dea4286a7c217cb9937d470f28a8c800dce277a759342dd9a3e0d", + "EvaluationElement": "0301d8af9135b69b174238acd802e31323e84f9f66c7d3ca68659ccd4456f16af156c15d48c8d7003f64fc8d814d09e5e4f0bf54dfd719ddaf1019f667ea0f9e58afed,0300e253175c05483e6696eb6447f4e3ae87c0764909749a64c902dbe11a8d575e59d13c86f499483f99d707d5485ca441e48cc9e0f78fbb22225b91c8870f8d094aae", + "EvaluationProof": { + "c": "00ef808190325fb49195e5244c1477694ef2770626369dd0ad0a428a0482ae69b837ff8e9d34e347ee8bf5e6a30d6ef7b9c8e995ef3aca5a45218c5ff97cf4bade00", + "s": "01b7c17f5474a7fdd637e6351566b7606e1b03ac034728e245a855278bc245fe2d1fb6c93180b4904f1037909d2ea8746ac806e507b7de668cc130de7264da4003e2" + }, + "Info": "736f6d655f696e666f", + "Input": "00,5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", + "Output": "5670e106e2d41747c7b1ac1902818022fe3019062f2cbe57810d21be5cad0abf32093be1b3db99dc49ce5d2b39c4667a88a397dedff2068286c49f2c11f2b5ed,d9ee7a801a46c8c5c69c11340073b56f6ed4bec7a2b31b6e6776246beb9717f37c966f3e98f2156a3905f8c4ddc3740afaa653333718c37e46b5d06e4570d7b0", + "UnblindedElement": "02006ff10e5a67d2f1b7dd74e5b3d927478b25eecd1cdf068139f30dc269f9dc31805b0ef8f2481b922b3b8e90a7a821b3cdb5e0cb4ae4d64eac735693038b6cc4503e,02001f091d698d71ab48a00104ef005dd1feb85ca48bc5d113c9e6c2df3f079b8888d1ef24e0bfee75d90c712bc5d7ecd655b32cb7f0259654bacbf9766801ecc9a29f" + } + ] + } +] diff --git a/src/circl/oprf/vectors_test.go b/src/circl/oprf/vectors_test.go new file mode 100644 index 00000000000..4185c28ce92 --- /dev/null +++ b/src/circl/oprf/vectors_test.go @@ -0,0 +1,183 @@ +package oprf + +import ( + "bytes" + "encoding/hex" + "encoding/json" + "fmt" + "io/ioutil" + "os" + "strings" + "testing" + + "circl/internal/test" +) + +type vector struct { + ID uint16 `json:"suiteID"` + Name string `json:"suiteName"` + Mode uint8 `json:"mode"` + Hash string `json:"hash"` + PkSm string `json:"pkSm"` + SkSm string `json:"skSm"` + Vectors []struct { + Batch int `json:"Batch"` + Blind string `json:"Blind"` + BlindedElement string `json:"BlindedElement"` + EvaluationElement string `json:"EvaluationElement"` + EvaluationProof struct { + C string `json:"c"` + S string `json:"s"` + } `json:"EvaluationProof"` + Info string `json:"Info"` + Input string `json:"Input"` + Output string `json:"Output"` + UnblindedElement string `json:"UnblindedElement"` + } `json:"vectors"` +} + +func toBytes(t *testing.T, s, errMsg string) []byte { + bytes, err := hex.DecodeString(s) + test.CheckNoErr(t, err, "decoding "+errMsg) + return bytes +} + +func toListBytes(t *testing.T, s, errMsg string) [][]byte { + strs := strings.Split(s, ",") + out := make([][]byte, len(strs)) + for i := range strs { + out[i] = toBytes(t, strs[i], errMsg) + } + return out +} + +func readFile(t *testing.T, fileName string) []vector { + jsonFile, err := os.Open(fileName) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", fileName, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + + var v []vector + err = json.Unmarshal(input, &v) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", fileName, err) + } + return v +} + +func (v *vector) SetUpParties(t *testing.T) (s *Server, c *Client) { + skSm := toBytes(t, v.SkSm, "private key") + privateKey := new(PrivateKey) + err := privateKey.Deserialize(v.ID, skSm) + test.CheckNoErr(t, err, "invalid private key") + + if v.Mode == BaseMode { + s, err = NewServer(v.ID, privateKey) + } else if v.Mode == VerifiableMode { + s, err = NewVerifiableServer(v.ID, privateKey) + } + test.CheckNoErr(t, err, "invalid setup of server") + + if v.Mode == BaseMode { + c, err = NewClient(v.ID) + } else if v.Mode == VerifiableMode { + pkSm := toBytes(t, v.PkSm, "public key") + publicKey := new(PublicKey) + err = publicKey.Deserialize(v.ID, pkSm) + test.CheckNoErr(t, err, "invalid public key") + c, err = NewVerifiableClient(v.ID, publicKey) + } + test.CheckNoErr(t, err, "invalid setup of client") + + return s, c +} + +func (v *vector) compareLists(t *testing.T, got, want [][]byte) { + for i := range got { + if !bytes.Equal(got[i], want[i]) { + test.ReportError(t, got[i], want[i], v.Name, v.Mode, i) + } + } +} + +func (v *vector) test(t *testing.T) { + server, client := v.SetUpParties(t) + + var publicKey *PublicKey + if v.Mode == VerifiableMode { + pkSm := toBytes(t, v.PkSm, "public key") + publicKey = new(PublicKey) + err := publicKey.Deserialize(v.ID, pkSm) + test.CheckNoErr(t, err, "invalid public key") + } + + for i, vi := range v.Vectors { + inputs := toListBytes(t, vi.Input, "input") + blindsBytes := toListBytes(t, vi.Blind, "blind") + + blinds := make([]Blind, len(blindsBytes)) + for j := range blindsBytes { + blinds[j] = client.suite.Group.NewScalar() + err := blinds[j].UnmarshalBinary(blindsBytes[j]) + test.CheckNoErr(t, err, "invalid blind") + } + + clientReq, err := client.blind(inputs, blinds) + test.CheckNoErr(t, err, "invalid client request") + v.compareLists(t, + clientReq.BlindedElements, + toListBytes(t, vi.BlindedElement, "blindedElement"), + ) + + eval, err := server.Evaluate(clientReq.BlindedElements) + test.CheckNoErr(t, err, "invalid evaluation") + v.compareLists(t, + eval.Elements, + toListBytes(t, vi.EvaluationElement, "evaluation"), + ) + + unblindedToken, err := client.unblind(eval.Elements, clientReq.blinds) + test.CheckNoErr(t, err, "invalid unblindedToken") + v.compareLists(t, + unblindedToken, + toListBytes(t, vi.UnblindedElement, "unblindedelement"), + ) + + info := toBytes(t, vi.Info, "info") + outputs, err := client.Finalize(clientReq, eval, info) + test.CheckNoErr(t, err, "invalid finalize") + expectedOutputs := toListBytes(t, vi.Output, "output") + v.compareLists(t, + outputs, + expectedOutputs, + ) + + for j := range inputs { + output, err := server.FullEvaluate(inputs[j], info) + test.CheckNoErr(t, err, "invalid full evaluate") + got := output + want := expectedOutputs[j] + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, v.Name, v.Mode, i, j) + } + + test.CheckOk(server.VerifyFinalize(inputs[j], info, output), "verify finalize", t) + } + } +} + +func TestVectors(t *testing.T) { + // Test vectors from https://datatracker.ietf.org/doc/draft-irtf-cfrg-voprf + v := readFile(t, "testdata/allVectors_v06.json") + + for i := range v { + id := v[i].ID + if !(id == OPRFP256 || id == OPRFP384 || id == OPRFP521) { + t.Logf(v[i].Name + " not supported yet") + continue + } + t.Run(fmt.Sprintf("Suite%v/Mode%v", id, v[i].Mode), v[i].test) + } +} diff --git a/src/circl/pke/kyber/gen.go b/src/circl/pke/kyber/gen.go index 7c67c97222e..0b079f89103 100644 --- a/src/circl/pke/kyber/gen.go +++ b/src/circl/pke/kyber/gen.go @@ -17,6 +17,7 @@ import ( type Instance struct { Name string K int + Eta1 int CiphertextSize int DU int DV int @@ -33,13 +34,15 @@ var ( Instances = []Instance{ { Name: "Kyber512", + Eta1: 3, K: 2, - CiphertextSize: 736, + CiphertextSize: 768, DU: 10, - DV: 3, + DV: 4, }, { Name: "Kyber768", + Eta1: 2, K: 3, CiphertextSize: 1088, DU: 10, @@ -47,6 +50,7 @@ var ( }, { Name: "Kyber1024", + Eta1: 2, K: 4, CiphertextSize: 1568, DU: 11, @@ -156,7 +160,7 @@ func generateSourceFiles() { } _, ok := files[name] if !ok { - fmt.Printf("Removing superfluous file: %s", fn) + fmt.Printf("Removing superfluous file: %s\n", fn) err = os.Remove(fn) if err != nil { panic(err) diff --git a/src/circl/pke/kyber/internal/common/amd64.go b/src/circl/pke/kyber/internal/common/amd64.go new file mode 100644 index 00000000000..84b738016e1 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/amd64.go @@ -0,0 +1,301 @@ +// +build amd64 + +package common + +import ( + "internal/cpu" +) + +// ZetasAVX2 contains all ζ used in NTT (like the Zetas array), but also +// the values int16(zeta * 62209) for each zeta, which is used in +// Montgomery reduction. There is some duplication and reordering as +// compared to Zetas to make it more covenient for use with AVX2. +var ZetasAVX2 = [...]int16{ + // level 1: int16(Zetas[1]*62209) and Zetas[1] + 31499, 2571, + + // level 2 + // + // int16(Zetas[2]*62209), Zetas[2], int16(Zetas[3]*62209), Zetas[3] + 14746, 2970, 788, 1812, + + // level 3, like level 2. + 13525, 1493, -12402, 1422, 28191, 287, -16694, 202, + + 0, 0, // padding + + // layer 4. offset: 1*16 + // + // The precomputed multiplication and zetas are grouped by 16 at a + // time as used in the set of butterflies, etc. + -20906, -20906, -20906, -20906, -20906, -20906, -20906, -20906, + 27758, 27758, 27758, 27758, 27758, 27758, 27758, 27758, + 3158, 3158, 3158, 3158, 3158, 3158, 3158, 3158, + 622, 622, 622, 622, 622, 622, 622, 622, + -3799, -3799, -3799, -3799, -3799, -3799, -3799, -3799, + -15690, -15690, -15690, -15690, -15690, -15690, -15690, -15690, + 1577, 1577, 1577, 1577, 1577, 1577, 1577, 1577, + 182, 182, 182, 182, 182, 182, 182, 182, + 10690, 10690, 10690, 10690, 10690, 10690, 10690, 10690, + 1359, 1359, 1359, 1359, 1359, 1359, 1359, 1359, + 962, 962, 962, 962, 962, 962, 962, 962, + 2127, 2127, 2127, 2127, 2127, 2127, 2127, 2127, + -11201, -11201, -11201, -11201, -11201, -11201, -11201, -11201, + 31164, 31164, 31164, 31164, 31164, 31164, 31164, 31164, + 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1855, + 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, + + // layer 5. offset: 9*16 + -5827, -5827, -5827, -5827, 17364, 17364, 17364, 17364, + -26360, -26360, -26360, -26360, -29057, -29057, -29057, -29057, + 573, 573, 573, 573, 2004, 2004, 2004, 2004, + 264, 264, 264, 264, 383, 383, 383, 383, + 5572, 5572, 5572, 5572, -1102, -1102, -1102, -1102, + 21439, 21439, 21439, 21439, -26241, -26241, -26241, -26241, + 2500, 2500, 2500, 2500, 1458, 1458, 1458, 1458, + 1727, 1727, 1727, 1727, 3199, 3199, 3199, 3199, + -28072, -28072, -28072, -28072, 24313, 24313, 24313, 24313, + -10532, -10532, -10532, -10532, 8800, 8800, 8800, 8800, + 2648, 2648, 2648, 2648, 1017, 1017, 1017, 1017, + 732, 732, 732, 732, 608, 608, 608, 608, + 18427, 18427, 18427, 18427, 8859, 8859, 8859, 8859, + 26676, 26676, 26676, 26676, -16162, -16162, -16162, -16162, + 1787, 1787, 1787, 1787, 411, 411, 411, 411, + 3124, 3124, 3124, 3124, 1758, 1758, 1758, 1758, + + // layer 6. offset: 17*16 + -5689, -5689, -6516, -6516, 1497, 1497, 30967, 30967, + -23564, -23564, 20179, 20179, 20711, 20711, 25081, 25081, + 1223, 1223, 652, 652, 2777, 2777, 1015, 1015, + 2036, 2036, 1491, 1491, 3047, 3047, 1785, 1785, + -12796, -12796, 26617, 26617, 16065, 16065, -12441, -12441, + 9135, 9135, -649, -649, -25986, -25986, 27837, 27837, + 516, 516, 3321, 3321, 3009, 3009, 2663, 2663, + 1711, 1711, 2167, 2167, 126, 126, 1469, 1469, + 19884, 19884, -28249, -28249, -15886, -15886, -8898, -8898, + -28309, -28309, 9076, 9076, -30198, -30198, 18250, 18250, + 2476, 2476, 3239, 3239, 3058, 3058, 830, 830, + 107, 107, 1908, 1908, 3082, 3082, 2378, 2378, + 13427, 13427, 14017, 14017, -29155, -29155, -12756, -12756, + 16832, 16832, 4312, 4312, -24155, -24155, -17914, -17914, + 2931, 2931, 961, 961, 1821, 1821, 2604, 2604, + 448, 448, 2264, 2264, 677, 677, 2054, 2054, + + // layer 7. offset: 25*16 + -334, 11182, -11477, 13387, -32226, -14233, 20494, -21655, + -27738, 13131, 945, -4586, -14882, 23093, 6182, 5493, + 2226, 430, 555, 843, 2078, 871, 1550, 105, + 422, 587, 177, 3094, 3038, 2869, 1574, 1653, + 32011, -32502, 10631, 30318, 29176, -18741, -28761, 12639, + -18485, 20100, 17561, 18525, -14430, 19529, -5275, -12618, + 3083, 778, 1159, 3182, 2552, 1483, 2727, 1119, + 1739, 644, 2457, 349, 418, 329, 3173, 3254, + -31183, 20297, 25435, 2146, -7382, 15356, 24392, -32384, + -20926, -6279, 10946, -14902, 24215, -11044, 16990, 14470, + 817, 1097, 603, 610, 1322, 2044, 1864, 384, + 2114, 3193, 1218, 1994, 2455, 220, 2142, 1670, + 10336, -21497, -7933, -20198, -22501, 23211, 10907, -17442, + 31637, -23859, 28644, -20257, 23998, 7757, -17422, 23132, + 2144, 1799, 2051, 794, 1819, 2475, 2459, 478, + 3221, 3021, 996, 991, 958, 1869, 1522, 1628, + + // layer 1 inverse + 23132, -17422, 7757, 23998, -20257, 28644, -23859, 31637, + -17442, 10907, 23211, -22501, -20198, -7933, -21497, 10336, + 1628, 1522, 1869, 958, 991, 996, 3021, 3221, + 478, 2459, 2475, 1819, 794, 2051, 1799, 2144, + 14470, 16990, -11044, 24215, -14902, 10946, -6279, -20926, + -32384, 24392, 15356, -7382, 2146, 25435, 20297, -31183, + 1670, 2142, 220, 2455, 1994, 1218, 3193, 2114, + 384, 1864, 2044, 1322, 610, 603, 1097, 817, + -12618, -5275, 19529, -14430, 18525, 17561, 20100, -18485, + 12639, -28761, -18741, 29176, 30318, 10631, -32502, 32011, + 3254, 3173, 329, 418, 349, 2457, 644, 1739, + 1119, 2727, 1483, 2552, 3182, 1159, 778, 3083, + 5493, 6182, 23093, -14882, -4586, 945, 13131, -27738, + -21655, 20494, -14233, -32226, 13387, -11477, 11182, -334, + 1653, 1574, 2869, 3038, 3094, 177, 587, 422, + 105, 1550, 871, 2078, 843, 555, 430, 2226, + + // layer 2 inverse + -17914, -17914, -24155, -24155, 4312, 4312, 16832, 16832, + -12756, -12756, -29155, -29155, 14017, 14017, 13427, 13427, + 2054, 2054, 677, 677, 2264, 2264, 448, 448, + 2604, 2604, 1821, 1821, 961, 961, 2931, 2931, + 18250, 18250, -30198, -30198, 9076, 9076, -28309, -28309, + -8898, -8898, -15886, -15886, -28249, -28249, 19884, 19884, + 2378, 2378, 3082, 3082, 1908, 1908, 107, 107, + 830, 830, 3058, 3058, 3239, 3239, 2476, 2476, + 27837, 27837, -25986, -25986, -649, -649, 9135, 9135, + -12441, -12441, 16065, 16065, 26617, 26617, -12796, -12796, + 1469, 1469, 126, 126, 2167, 2167, 1711, 1711, + 2663, 2663, 3009, 3009, 3321, 3321, 516, 516, + 25081, 25081, 20711, 20711, 20179, 20179, -23564, -23564, + 30967, 30967, 1497, 1497, -6516, -6516, -5689, -5689, + 1785, 1785, 3047, 3047, 1491, 1491, 2036, 2036, + 1015, 1015, 2777, 2777, 652, 652, 1223, 1223, + + // layer 3 inverse + -16162, -16162, -16162, -16162, 26676, 26676, 26676, 26676, + 8859, 8859, 8859, 8859, 18427, 18427, 18427, 18427, + 1758, 1758, 1758, 1758, 3124, 3124, 3124, 3124, + 411, 411, 411, 411, 1787, 1787, 1787, 1787, + 8800, 8800, 8800, 8800, -10532, -10532, -10532, -10532, + 24313, 24313, 24313, 24313, -28072, -28072, -28072, -28072, + 608, 608, 608, 608, 732, 732, 732, 732, + 1017, 1017, 1017, 1017, 2648, 2648, 2648, 2648, + -26241, -26241, -26241, -26241, 21439, 21439, 21439, 21439, + -1102, -1102, -1102, -1102, 5572, 5572, 5572, 5572, + 3199, 3199, 3199, 3199, 1727, 1727, 1727, 1727, + 1458, 1458, 1458, 1458, 2500, 2500, 2500, 2500, + -29057, -29057, -29057, -29057, -26360, -26360, -26360, -26360, + 17364, 17364, 17364, 17364, -5827, -5827, -5827, -5827, + 383, 383, 383, 383, 264, 264, 264, 264, + 2004, 2004, 2004, 2004, 573, 573, 573, 573, + + // layer 4 inverse + 31164, 31164, 31164, 31164, 31164, 31164, 31164, 31164, + -11201, -11201, -11201, -11201, -11201, -11201, -11201, -11201, + 1468, 1468, 1468, 1468, 1468, 1468, 1468, 1468, + 1855, 1855, 1855, 1855, 1855, 1855, 1855, 1855, + 1359, 1359, 1359, 1359, 1359, 1359, 1359, 1359, + 10690, 10690, 10690, 10690, 10690, 10690, 10690, 10690, + 2127, 2127, 2127, 2127, 2127, 2127, 2127, 2127, + 962, 962, 962, 962, 962, 962, 962, 962, + -15690, -15690, -15690, -15690, -15690, -15690, -15690, -15690, + -3799, -3799, -3799, -3799, -3799, -3799, -3799, -3799, + 182, 182, 182, 182, 182, 182, 182, 182, + 1577, 1577, 1577, 1577, 1577, 1577, 1577, 1577, + 27758, 27758, 27758, 27758, 27758, 27758, 27758, 27758, + -20906, -20906, -20906, -20906, -20906, -20906, -20906, -20906, + 622, 622, 622, 622, 622, 622, 622, 622, + 3158, 3158, 3158, 3158, 3158, 3158, 3158, 3158, + + // layer 5 inverse + -16694, 202, 28191, 287, -12402, 1422, 13525, 1493, + + // layer 6 inverse + 788, 1812, 14746, 2970, + + // layer 7 inverse + 31499, 2571, +} + +// Sets p to a + b. Does not normalize coefficients. +func (p *Poly) Add(a, b *Poly) { + if cpu.X86.HasAVX2 { + addAVX2( + (*[N]int16)(p), + (*[N]int16)(a), + (*[N]int16)(b), + ) + } else { + p.addGeneric(a, b) + } +} + +// Sets p to a - b. Does not normalize coefficients. +func (p *Poly) Sub(a, b *Poly) { + if cpu.X86.HasAVX2 { + subAVX2( + (*[N]int16)(p), + (*[N]int16)(a), + (*[N]int16)(b), + ) + } else { + p.subGeneric(a, b) + } +} + +// Executes an in-place forward "NTT" on p. +// +// Assumes the coefficients are in absolute value ≤q. The resulting +// coefficients are in absolute value ≤7q. If the input is in Montgomery +// form, then the result is in Montgomery form and so (by linearity of the NTT) +// if the input is in regular form, then the result is also in regular form. +// The order of coefficients will be "tangled". These can be put back into +// their proper order by calling Detangle(). +func (p *Poly) NTT() { + if cpu.X86.HasAVX2 { + nttAVX2((*[N]int16)(p)) + } else { + p.nttGeneric() + } +} + +// Executes an in-place inverse "NTT" on p and multiply by the Montgomery +// factor R. +// +// Requires coefficients to be in "tangled" order, see Tangle(). +// Assumes the coefficients are in absolute value ≤q. The resulting +// coefficients are in absolute value ≤q. If the input is in Montgomery +// form, then the result is in Montgomery form and so (by linearity) +// if the input is in regular form, then the result is also in regular form. +func (p *Poly) InvNTT() { + if cpu.X86.HasAVX2 { + invNttAVX2((*[N]int16)(p)) + } else { + p.invNTTGeneric() + } +} + +// Sets p to the "pointwise" multiplication of a and b. +// +// That is: InvNTT(p) = InvNTT(a) * InvNTT(b). Assumes a and b are in +// Montgomery form. Products between coefficients of a and b must be strictly +// bounded in absolute value by 2¹⁵q. p will be in Montgomery form and +// bounded in absolute value by 2q. +// +// Requires a and b to be in "tangled" order, see Tangle(). p will be in +// tangled order as well. +func (p *Poly) MulHat(a, b *Poly) { + if cpu.X86.HasAVX2 { + mulHatAVX2( + (*[N]int16)(p), + (*[N]int16)(a), + (*[N]int16)(b), + ) + } else { + p.mulHatGeneric(a, b) + } +} + +// Puts p into the right form to be used with (among others) InvNTT(). +func (p *Poly) Tangle() { + if cpu.X86.HasAVX2 { + tangleAVX2((*[N]int16)(p)) + } + + // When AVX2 is not available, we use the standard order. +} + +// Puts p back into standard form. +func (p *Poly) Detangle() { + if cpu.X86.HasAVX2 { + detangleAVX2((*[N]int16)(p)) + } + + // When AVX2 is not available, we use the standard order. +} + +// Almost normalizes coefficients. +// +// Ensures each coefficient is in {0, …, q}. +func (p *Poly) BarrettReduce() { + if cpu.X86.HasAVX2 { + barrettReduceAVX2((*[N]int16)(p)) + } else { + p.barrettReduceGeneric() + } +} + +// Normalizes coefficients. +// +// Ensures each coefficient is in {0, …, q-1}. +func (p *Poly) Normalize() { + if cpu.X86.HasAVX2 { + normalizeAVX2((*[N]int16)(p)) + } else { + p.normalizeGeneric() + } +} diff --git a/src/circl/pke/kyber/internal/common/amd64.s b/src/circl/pke/kyber/internal/common/amd64.s new file mode 100644 index 00000000000..80b851ad6b6 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/amd64.s @@ -0,0 +1,2354 @@ +// Code generated by command: go run src.go -out ../amd64.s -stubs ../stubs_amd64.go -pkg common. DO NOT EDIT. + +// +build amd64 + +#include "textflag.h" + +// func addAVX2(p *[256]int16, a *[256]int16, b *[256]int16) +// Requires: AVX, AVX2 +TEXT ·addAVX2(SB), NOSPLIT, $0-24 + MOVQ p+0(FP), AX + MOVQ a+8(FP), CX + MOVQ b+16(FP), DX + VMOVDQU (CX), Y0 + VMOVDQU 32(CX), Y2 + VMOVDQU 64(CX), Y4 + VMOVDQU 96(CX), Y6 + VMOVDQU 128(CX), Y8 + VMOVDQU 160(CX), Y10 + VMOVDQU 192(CX), Y12 + VMOVDQU 224(CX), Y14 + VMOVDQU (DX), Y1 + VMOVDQU 32(DX), Y3 + VMOVDQU 64(DX), Y5 + VMOVDQU 96(DX), Y7 + VMOVDQU 128(DX), Y9 + VMOVDQU 160(DX), Y11 + VMOVDQU 192(DX), Y13 + VMOVDQU 224(DX), Y15 + VPADDW Y0, Y1, Y1 + VPADDW Y2, Y3, Y3 + VPADDW Y4, Y5, Y5 + VPADDW Y6, Y7, Y7 + VPADDW Y8, Y9, Y9 + VPADDW Y10, Y11, Y11 + VPADDW Y12, Y13, Y13 + VPADDW Y14, Y15, Y15 + VMOVDQU Y1, (AX) + VMOVDQU Y3, 32(AX) + VMOVDQU Y5, 64(AX) + VMOVDQU Y7, 96(AX) + VMOVDQU Y9, 128(AX) + VMOVDQU Y11, 160(AX) + VMOVDQU Y13, 192(AX) + VMOVDQU Y15, 224(AX) + VMOVDQU 256(CX), Y0 + VMOVDQU 288(CX), Y2 + VMOVDQU 320(CX), Y4 + VMOVDQU 352(CX), Y6 + VMOVDQU 384(CX), Y8 + VMOVDQU 416(CX), Y10 + VMOVDQU 448(CX), Y12 + VMOVDQU 480(CX), Y14 + VMOVDQU 256(DX), Y1 + VMOVDQU 288(DX), Y3 + VMOVDQU 320(DX), Y5 + VMOVDQU 352(DX), Y7 + VMOVDQU 384(DX), Y9 + VMOVDQU 416(DX), Y11 + VMOVDQU 448(DX), Y13 + VMOVDQU 480(DX), Y15 + VPADDW Y0, Y1, Y1 + VPADDW Y2, Y3, Y3 + VPADDW Y4, Y5, Y5 + VPADDW Y6, Y7, Y7 + VPADDW Y8, Y9, Y9 + VPADDW Y10, Y11, Y11 + VPADDW Y12, Y13, Y13 + VPADDW Y14, Y15, Y15 + VMOVDQU Y1, 256(AX) + VMOVDQU Y3, 288(AX) + VMOVDQU Y5, 320(AX) + VMOVDQU Y7, 352(AX) + VMOVDQU Y9, 384(AX) + VMOVDQU Y11, 416(AX) + VMOVDQU Y13, 448(AX) + VMOVDQU Y15, 480(AX) + RET + +// func subAVX2(p *[256]int16, a *[256]int16, b *[256]int16) +// Requires: AVX, AVX2 +TEXT ·subAVX2(SB), NOSPLIT, $0-24 + MOVQ p+0(FP), AX + MOVQ a+8(FP), CX + MOVQ b+16(FP), DX + VMOVDQU (CX), Y0 + VMOVDQU 32(CX), Y2 + VMOVDQU 64(CX), Y4 + VMOVDQU 96(CX), Y6 + VMOVDQU 128(CX), Y8 + VMOVDQU 160(CX), Y10 + VMOVDQU 192(CX), Y12 + VMOVDQU 224(CX), Y14 + VMOVDQU (DX), Y1 + VMOVDQU 32(DX), Y3 + VMOVDQU 64(DX), Y5 + VMOVDQU 96(DX), Y7 + VMOVDQU 128(DX), Y9 + VMOVDQU 160(DX), Y11 + VMOVDQU 192(DX), Y13 + VMOVDQU 224(DX), Y15 + VPSUBW Y1, Y0, Y1 + VPSUBW Y3, Y2, Y3 + VPSUBW Y5, Y4, Y5 + VPSUBW Y7, Y6, Y7 + VPSUBW Y9, Y8, Y9 + VPSUBW Y11, Y10, Y11 + VPSUBW Y13, Y12, Y13 + VPSUBW Y15, Y14, Y15 + VMOVDQU Y1, (AX) + VMOVDQU Y3, 32(AX) + VMOVDQU Y5, 64(AX) + VMOVDQU Y7, 96(AX) + VMOVDQU Y9, 128(AX) + VMOVDQU Y11, 160(AX) + VMOVDQU Y13, 192(AX) + VMOVDQU Y15, 224(AX) + VMOVDQU 256(CX), Y0 + VMOVDQU 288(CX), Y2 + VMOVDQU 320(CX), Y4 + VMOVDQU 352(CX), Y6 + VMOVDQU 384(CX), Y8 + VMOVDQU 416(CX), Y10 + VMOVDQU 448(CX), Y12 + VMOVDQU 480(CX), Y14 + VMOVDQU 256(DX), Y1 + VMOVDQU 288(DX), Y3 + VMOVDQU 320(DX), Y5 + VMOVDQU 352(DX), Y7 + VMOVDQU 384(DX), Y9 + VMOVDQU 416(DX), Y11 + VMOVDQU 448(DX), Y13 + VMOVDQU 480(DX), Y15 + VPSUBW Y1, Y0, Y1 + VPSUBW Y3, Y2, Y3 + VPSUBW Y5, Y4, Y5 + VPSUBW Y7, Y6, Y7 + VPSUBW Y9, Y8, Y9 + VPSUBW Y11, Y10, Y11 + VPSUBW Y13, Y12, Y13 + VPSUBW Y15, Y14, Y15 + VMOVDQU Y1, 256(AX) + VMOVDQU Y3, 288(AX) + VMOVDQU Y5, 320(AX) + VMOVDQU Y7, 352(AX) + VMOVDQU Y9, 384(AX) + VMOVDQU Y11, 416(AX) + VMOVDQU Y13, 448(AX) + VMOVDQU Y15, 480(AX) + RET + +// func nttAVX2(p *[256]int16) +// Requires: AVX, AVX2 +TEXT ·nttAVX2(SB), NOSPLIT, $0-8 + MOVQ p+0(FP), AX + LEAQ ·ZetasAVX2+0(SB), CX + MOVL $0x00000d01, DX + VMOVD DX, X0 + VPBROADCASTW X0, Y15 + VPBROADCASTW (CX), Y0 + VPBROADCASTW 2(CX), Y1 + VMOVDQU (AX), Y7 + VMOVDQU 32(AX), Y8 + VMOVDQU 64(AX), Y9 + VMOVDQU 96(AX), Y10 + VMOVDQU 256(AX), Y11 + VMOVDQU 288(AX), Y12 + VMOVDQU 320(AX), Y13 + VMOVDQU 352(AX), Y14 + VPMULLW Y11, Y0, Y2 + VPMULLW Y12, Y0, Y3 + VPMULLW Y13, Y0, Y4 + VPMULLW Y14, Y0, Y5 + VPMULHW Y11, Y1, Y11 + VPMULHW Y12, Y1, Y12 + VPMULHW Y13, Y1, Y13 + VPMULHW Y14, Y1, Y14 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y11, Y2 + VPSUBW Y3, Y12, Y3 + VPSUBW Y4, Y13, Y4 + VPSUBW Y5, Y14, Y5 + VPSUBW Y2, Y7, Y11 + VPSUBW Y3, Y8, Y12 + VPSUBW Y4, Y9, Y13 + VPSUBW Y5, Y10, Y14 + VPADDW Y2, Y7, Y7 + VPADDW Y3, Y8, Y8 + VPADDW Y4, Y9, Y9 + VPADDW Y5, Y10, Y10 + VMOVDQU Y7, (AX) + VMOVDQU Y8, 32(AX) + VMOVDQU Y9, 64(AX) + VMOVDQU Y10, 96(AX) + VMOVDQU Y11, 256(AX) + VMOVDQU Y12, 288(AX) + VMOVDQU Y13, 320(AX) + VMOVDQU Y14, 352(AX) + VMOVDQU 128(AX), Y7 + VMOVDQU 160(AX), Y8 + VMOVDQU 192(AX), Y9 + VMOVDQU 224(AX), Y10 + VMOVDQU 384(AX), Y11 + VMOVDQU 416(AX), Y12 + VMOVDQU 448(AX), Y13 + VMOVDQU 480(AX), Y14 + VPMULLW Y11, Y0, Y2 + VPMULLW Y12, Y0, Y3 + VPMULLW Y13, Y0, Y4 + VPMULLW Y14, Y0, Y5 + VPMULHW Y11, Y1, Y11 + VPMULHW Y12, Y1, Y12 + VPMULHW Y13, Y1, Y13 + VPMULHW Y14, Y1, Y14 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y11, Y2 + VPSUBW Y3, Y12, Y3 + VPSUBW Y4, Y13, Y4 + VPSUBW Y5, Y14, Y5 + VPSUBW Y2, Y7, Y11 + VPSUBW Y3, Y8, Y12 + VPSUBW Y4, Y9, Y13 + VPSUBW Y5, Y10, Y14 + VPADDW Y2, Y7, Y7 + VPADDW Y3, Y8, Y8 + VPADDW Y4, Y9, Y9 + VPADDW Y5, Y10, Y10 + VMOVDQU Y7, 128(AX) + VMOVDQU Y8, 160(AX) + VMOVDQU Y9, 192(AX) + VMOVDQU Y10, 224(AX) + VMOVDQU Y11, 384(AX) + VMOVDQU Y12, 416(AX) + VMOVDQU Y13, 448(AX) + VMOVDQU Y14, 480(AX) + VPBROADCASTW 4(CX), Y0 + VPBROADCASTW 6(CX), Y1 + VMOVDQU (AX), Y7 + VMOVDQU 32(AX), Y8 + VMOVDQU 64(AX), Y9 + VMOVDQU 96(AX), Y10 + VMOVDQU 128(AX), Y11 + VMOVDQU 160(AX), Y12 + VMOVDQU 192(AX), Y13 + VMOVDQU 224(AX), Y14 + VPMULLW Y11, Y0, Y2 + VPMULLW Y12, Y0, Y3 + VPMULLW Y13, Y0, Y4 + VPMULLW Y14, Y0, Y5 + VPMULHW Y11, Y1, Y11 + VPMULHW Y12, Y1, Y12 + VPMULHW Y13, Y1, Y13 + VPMULHW Y14, Y1, Y14 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y11, Y2 + VPSUBW Y3, Y12, Y3 + VPSUBW Y4, Y13, Y4 + VPSUBW Y5, Y14, Y5 + VPSUBW Y2, Y7, Y11 + VPSUBW Y3, Y8, Y12 + VPSUBW Y4, Y9, Y13 + VPSUBW Y5, Y10, Y14 + VPADDW Y2, Y7, Y7 + VPADDW Y3, Y8, Y8 + VPADDW Y4, Y9, Y9 + VPADDW Y5, Y10, Y10 + VPBROADCASTW 12(CX), Y0 + VPBROADCASTW 14(CX), Y1 + VPBROADCASTW 16(CX), Y2 + VPBROADCASTW 18(CX), Y3 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y13, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y13, Y3, Y13 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y9, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y13, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y9 + VPSUBW Y5, Y8, Y10 + VPSUBW Y6, Y11, Y13 + VPSUBW Y0, Y12, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y8, Y8 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y12, Y12 + VMOVDQU 32(CX), Y0 + VMOVDQU 64(CX), Y1 + VMOVDQU 96(CX), Y2 + VMOVDQU 128(CX), Y3 + VPERM2I128 $0x20, Y9, Y7, Y4 + VPERM2I128 $0x31, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VPERM2I128 $0x20, Y10, Y8, Y4 + VPERM2I128 $0x31, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VPERM2I128 $0x20, Y13, Y11, Y4 + VPERM2I128 $0x31, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VPERM2I128 $0x20, Y14, Y12, Y4 + VPERM2I128 $0x31, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPMULLW Y8, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y12, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y8, Y1, Y8 + VPMULHW Y10, Y1, Y10 + VPMULHW Y12, Y3, Y12 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y8, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y12, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y8 + VPSUBW Y5, Y9, Y10 + VPSUBW Y6, Y11, Y12 + VPSUBW Y0, Y13, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y9, Y9 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y13, Y13 + VMOVDQU 288(CX), Y0 + VMOVDQU 320(CX), Y1 + VMOVDQU 352(CX), Y2 + VMOVDQU 384(CX), Y3 + VPUNPCKLQDQ Y8, Y7, Y4 + VPUNPCKHQDQ Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPUNPCKLQDQ Y10, Y9, Y4 + VPUNPCKHQDQ Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPUNPCKLQDQ Y12, Y11, Y4 + VPUNPCKHQDQ Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPUNPCKLQDQ Y14, Y13, Y4 + VPUNPCKHQDQ Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y13, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y13, Y3, Y13 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y9, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y13, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y9 + VPSUBW Y5, Y8, Y10 + VPSUBW Y6, Y11, Y13 + VPSUBW Y0, Y12, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y8, Y8 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y12, Y12 + VMOVDQU 544(CX), Y0 + VMOVDQU 576(CX), Y1 + VMOVDQU 608(CX), Y2 + VMOVDQU 640(CX), Y3 + VMOVSLDUP Y9, Y4 + VPBLENDD $0xaa, Y4, Y7, Y4 + VPSRLQ $0x20, Y7, Y7 + VPBLENDD $0xaa, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VMOVSLDUP Y10, Y4 + VPBLENDD $0xaa, Y4, Y8, Y4 + VPSRLQ $0x20, Y8, Y8 + VPBLENDD $0xaa, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VMOVSLDUP Y13, Y4 + VPBLENDD $0xaa, Y4, Y11, Y4 + VPSRLQ $0x20, Y11, Y11 + VPBLENDD $0xaa, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VMOVSLDUP Y14, Y4 + VPBLENDD $0xaa, Y4, Y12, Y4 + VPSRLQ $0x20, Y12, Y12 + VPBLENDD $0xaa, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPMULLW Y8, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y12, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y8, Y1, Y8 + VPMULHW Y10, Y1, Y10 + VPMULHW Y12, Y3, Y12 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y8, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y12, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y8 + VPSUBW Y5, Y9, Y10 + VPSUBW Y6, Y11, Y12 + VPSUBW Y0, Y13, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y9, Y9 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y13, Y13 + VMOVDQU 800(CX), Y0 + VMOVDQU 832(CX), Y1 + VMOVDQU 864(CX), Y2 + VMOVDQU 896(CX), Y3 + VPSLLD $0x10, Y8, Y4 + VPBLENDW $0xaa, Y4, Y7, Y4 + VPSRLD $0x10, Y7, Y7 + VPBLENDW $0xaa, Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPSLLD $0x10, Y10, Y4 + VPBLENDW $0xaa, Y4, Y9, Y4 + VPSRLD $0x10, Y9, Y9 + VPBLENDW $0xaa, Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPSLLD $0x10, Y12, Y4 + VPBLENDW $0xaa, Y4, Y11, Y4 + VPSRLD $0x10, Y11, Y11 + VPBLENDW $0xaa, Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPSLLD $0x10, Y14, Y4 + VPBLENDW $0xaa, Y4, Y13, Y4 + VPSRLD $0x10, Y13, Y13 + VPBLENDW $0xaa, Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y13, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y13, Y3, Y13 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y9, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y13, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y9 + VPSUBW Y5, Y8, Y10 + VPSUBW Y6, Y11, Y13 + VPSUBW Y0, Y12, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y8, Y8 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y12, Y12 + VMOVDQU Y7, (AX) + VMOVDQU Y8, 32(AX) + VMOVDQU Y9, 64(AX) + VMOVDQU Y10, 96(AX) + VMOVDQU Y11, 128(AX) + VMOVDQU Y12, 160(AX) + VMOVDQU Y13, 192(AX) + VMOVDQU Y14, 224(AX) + VPBROADCASTW 8(CX), Y0 + VPBROADCASTW 10(CX), Y1 + VMOVDQU 256(AX), Y7 + VMOVDQU 288(AX), Y8 + VMOVDQU 320(AX), Y9 + VMOVDQU 352(AX), Y10 + VMOVDQU 384(AX), Y11 + VMOVDQU 416(AX), Y12 + VMOVDQU 448(AX), Y13 + VMOVDQU 480(AX), Y14 + VPMULLW Y11, Y0, Y2 + VPMULLW Y12, Y0, Y3 + VPMULLW Y13, Y0, Y4 + VPMULLW Y14, Y0, Y5 + VPMULHW Y11, Y1, Y11 + VPMULHW Y12, Y1, Y12 + VPMULHW Y13, Y1, Y13 + VPMULHW Y14, Y1, Y14 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y11, Y2 + VPSUBW Y3, Y12, Y3 + VPSUBW Y4, Y13, Y4 + VPSUBW Y5, Y14, Y5 + VPSUBW Y2, Y7, Y11 + VPSUBW Y3, Y8, Y12 + VPSUBW Y4, Y9, Y13 + VPSUBW Y5, Y10, Y14 + VPADDW Y2, Y7, Y7 + VPADDW Y3, Y8, Y8 + VPADDW Y4, Y9, Y9 + VPADDW Y5, Y10, Y10 + VPBROADCASTW 20(CX), Y0 + VPBROADCASTW 22(CX), Y1 + VPBROADCASTW 24(CX), Y2 + VPBROADCASTW 26(CX), Y3 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y13, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y13, Y3, Y13 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y9, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y13, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y9 + VPSUBW Y5, Y8, Y10 + VPSUBW Y6, Y11, Y13 + VPSUBW Y0, Y12, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y8, Y8 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y12, Y12 + VMOVDQU 160(CX), Y0 + VMOVDQU 192(CX), Y1 + VMOVDQU 224(CX), Y2 + VMOVDQU 256(CX), Y3 + VPERM2I128 $0x20, Y9, Y7, Y4 + VPERM2I128 $0x31, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VPERM2I128 $0x20, Y10, Y8, Y4 + VPERM2I128 $0x31, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VPERM2I128 $0x20, Y13, Y11, Y4 + VPERM2I128 $0x31, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VPERM2I128 $0x20, Y14, Y12, Y4 + VPERM2I128 $0x31, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPMULLW Y8, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y12, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y8, Y1, Y8 + VPMULHW Y10, Y1, Y10 + VPMULHW Y12, Y3, Y12 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y8, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y12, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y8 + VPSUBW Y5, Y9, Y10 + VPSUBW Y6, Y11, Y12 + VPSUBW Y0, Y13, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y9, Y9 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y13, Y13 + VMOVDQU 416(CX), Y0 + VMOVDQU 448(CX), Y1 + VMOVDQU 480(CX), Y2 + VMOVDQU 512(CX), Y3 + VPUNPCKLQDQ Y8, Y7, Y4 + VPUNPCKHQDQ Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPUNPCKLQDQ Y10, Y9, Y4 + VPUNPCKHQDQ Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPUNPCKLQDQ Y12, Y11, Y4 + VPUNPCKHQDQ Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPUNPCKLQDQ Y14, Y13, Y4 + VPUNPCKHQDQ Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y13, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y13, Y3, Y13 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y9, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y13, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y9 + VPSUBW Y5, Y8, Y10 + VPSUBW Y6, Y11, Y13 + VPSUBW Y0, Y12, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y8, Y8 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y12, Y12 + VMOVDQU 672(CX), Y0 + VMOVDQU 704(CX), Y1 + VMOVDQU 736(CX), Y2 + VMOVDQU 768(CX), Y3 + VMOVSLDUP Y9, Y4 + VPBLENDD $0xaa, Y4, Y7, Y4 + VPSRLQ $0x20, Y7, Y7 + VPBLENDD $0xaa, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VMOVSLDUP Y10, Y4 + VPBLENDD $0xaa, Y4, Y8, Y4 + VPSRLQ $0x20, Y8, Y8 + VPBLENDD $0xaa, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VMOVSLDUP Y13, Y4 + VPBLENDD $0xaa, Y4, Y11, Y4 + VPSRLQ $0x20, Y11, Y11 + VPBLENDD $0xaa, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VMOVSLDUP Y14, Y4 + VPBLENDD $0xaa, Y4, Y12, Y4 + VPSRLQ $0x20, Y12, Y12 + VPBLENDD $0xaa, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPMULLW Y8, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y12, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y8, Y1, Y8 + VPMULHW Y10, Y1, Y10 + VPMULHW Y12, Y3, Y12 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y8, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y12, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y8 + VPSUBW Y5, Y9, Y10 + VPSUBW Y6, Y11, Y12 + VPSUBW Y0, Y13, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y9, Y9 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y13, Y13 + VMOVDQU 928(CX), Y0 + VMOVDQU 960(CX), Y1 + VMOVDQU 992(CX), Y2 + VMOVDQU 1024(CX), Y3 + VPSLLD $0x10, Y8, Y4 + VPBLENDW $0xaa, Y4, Y7, Y4 + VPSRLD $0x10, Y7, Y7 + VPBLENDW $0xaa, Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPSLLD $0x10, Y10, Y4 + VPBLENDW $0xaa, Y4, Y9, Y4 + VPSRLD $0x10, Y9, Y9 + VPBLENDW $0xaa, Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPSLLD $0x10, Y12, Y4 + VPBLENDW $0xaa, Y4, Y11, Y4 + VPSRLD $0x10, Y11, Y11 + VPBLENDW $0xaa, Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPSLLD $0x10, Y14, Y4 + VPBLENDW $0xaa, Y4, Y13, Y4 + VPSRLD $0x10, Y13, Y13 + VPBLENDW $0xaa, Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULLW Y13, Y2, Y6 + VPMULLW Y14, Y2, Y0 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y13, Y3, Y13 + VPMULHW Y14, Y3, Y14 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPMULHW Y6, Y15, Y6 + VPMULHW Y0, Y15, Y0 + VPSUBW Y4, Y9, Y4 + VPSUBW Y5, Y10, Y5 + VPSUBW Y6, Y13, Y6 + VPSUBW Y0, Y14, Y0 + VPSUBW Y4, Y7, Y9 + VPSUBW Y5, Y8, Y10 + VPSUBW Y6, Y11, Y13 + VPSUBW Y0, Y12, Y14 + VPADDW Y4, Y7, Y7 + VPADDW Y5, Y8, Y8 + VPADDW Y6, Y11, Y11 + VPADDW Y0, Y12, Y12 + VMOVDQU Y7, 256(AX) + VMOVDQU Y8, 288(AX) + VMOVDQU Y9, 320(AX) + VMOVDQU Y10, 352(AX) + VMOVDQU Y11, 384(AX) + VMOVDQU Y12, 416(AX) + VMOVDQU Y13, 448(AX) + VMOVDQU Y14, 480(AX) + RET + +// func invNttAVX2(p *[256]int16) +// Requires: AVX, AVX2 +TEXT ·invNttAVX2(SB), NOSPLIT, $0-8 + MOVQ p+0(FP), AX + LEAQ ·ZetasAVX2+0(SB), CX + MOVL $0x00000d01, DX + VMOVD DX, X0 + VPBROADCASTW X0, Y15 + VMOVDQU (AX), Y7 + VMOVDQU 32(AX), Y8 + VMOVDQU 64(AX), Y9 + VMOVDQU 96(AX), Y10 + VMOVDQU 128(AX), Y11 + VMOVDQU 160(AX), Y12 + VMOVDQU 192(AX), Y13 + VMOVDQU 224(AX), Y14 + VMOVDQU 1056(CX), Y0 + VMOVDQU 1088(CX), Y1 + VMOVDQU 1120(CX), Y2 + VMOVDQU 1152(CX), Y3 + VPSUBW Y7, Y9, Y4 + VPSUBW Y8, Y10, Y5 + VPSUBW Y11, Y13, Y6 + VPADDW Y7, Y9, Y7 + VPADDW Y8, Y10, Y8 + VPADDW Y11, Y13, Y11 + VPMULLW Y4, Y0, Y9 + VPMULLW Y5, Y0, Y10 + VPSUBW Y12, Y14, Y0 + VPMULLW Y6, Y2, Y13 + VPADDW Y12, Y14, Y12 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y9, Y4, Y9 + VPSUBW Y10, Y5, Y10 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y0, Y14 + VMOVDQU 1312(CX), Y0 + VMOVDQU 1344(CX), Y1 + VMOVDQU 1376(CX), Y2 + VMOVDQU 1408(CX), Y3 + VPSLLD $0x10, Y8, Y4 + VPBLENDW $0xaa, Y4, Y7, Y4 + VPSRLD $0x10, Y7, Y7 + VPBLENDW $0xaa, Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPSLLD $0x10, Y10, Y4 + VPBLENDW $0xaa, Y4, Y9, Y4 + VPSRLD $0x10, Y9, Y9 + VPBLENDW $0xaa, Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPSLLD $0x10, Y12, Y4 + VPBLENDW $0xaa, Y4, Y11, Y4 + VPSRLD $0x10, Y11, Y11 + VPBLENDW $0xaa, Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPSLLD $0x10, Y14, Y4 + VPBLENDW $0xaa, Y4, Y13, Y4 + VPSRLD $0x10, Y13, Y13 + VPBLENDW $0xaa, Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPSUBW Y7, Y8, Y4 + VPSUBW Y9, Y10, Y5 + VPSUBW Y11, Y12, Y6 + VPADDW Y7, Y8, Y7 + VPADDW Y9, Y10, Y9 + VPADDW Y11, Y12, Y11 + VPMULLW Y4, Y0, Y8 + VPMULLW Y5, Y0, Y10 + VPSUBW Y13, Y14, Y0 + VPMULLW Y6, Y2, Y12 + VPADDW Y13, Y14, Y13 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y8, Y15, Y8 + VPMULHW Y10, Y15, Y10 + VPMULHW Y12, Y15, Y12 + VPMULHW Y14, Y15, Y14 + VPSUBW Y8, Y4, Y8 + VPSUBW Y10, Y5, Y10 + VPSUBW Y12, Y6, Y12 + VPSUBW Y14, Y0, Y14 + VMOVDQU 1568(CX), Y0 + VMOVDQU 1600(CX), Y1 + VMOVDQU 1632(CX), Y2 + VMOVDQU 1664(CX), Y3 + VMOVSLDUP Y9, Y4 + VPBLENDD $0xaa, Y4, Y7, Y4 + VPSRLQ $0x20, Y7, Y7 + VPBLENDD $0xaa, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VMOVSLDUP Y10, Y4 + VPBLENDD $0xaa, Y4, Y8, Y4 + VPSRLQ $0x20, Y8, Y8 + VPBLENDD $0xaa, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VMOVSLDUP Y13, Y4 + VPBLENDD $0xaa, Y4, Y11, Y4 + VPSRLQ $0x20, Y11, Y11 + VPBLENDD $0xaa, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VMOVSLDUP Y14, Y4 + VPBLENDD $0xaa, Y4, Y12, Y4 + VPSRLQ $0x20, Y12, Y12 + VPBLENDD $0xaa, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPSUBW Y7, Y9, Y4 + VPSUBW Y8, Y10, Y5 + VPSUBW Y11, Y13, Y6 + VPADDW Y7, Y9, Y7 + VPADDW Y8, Y10, Y8 + VPADDW Y11, Y13, Y11 + VPMULLW Y4, Y0, Y9 + VPMULLW Y5, Y0, Y10 + VPSUBW Y12, Y14, Y0 + VPMULLW Y6, Y2, Y13 + VPADDW Y12, Y14, Y12 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y9, Y4, Y9 + VPSUBW Y10, Y5, Y10 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y0, Y14 + MOVL $0x00004ebf, DX + VMOVD DX, X0 + VPBROADCASTW X0, Y4 + VPMULHW Y4, Y7, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y7, Y7 + VPMULHW Y4, Y11, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y11, Y11 + VMOVDQU 1824(CX), Y0 + VMOVDQU 1856(CX), Y1 + VMOVDQU 1888(CX), Y2 + VMOVDQU 1920(CX), Y3 + VPUNPCKLQDQ Y8, Y7, Y4 + VPUNPCKHQDQ Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPUNPCKLQDQ Y10, Y9, Y4 + VPUNPCKHQDQ Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPUNPCKLQDQ Y12, Y11, Y4 + VPUNPCKHQDQ Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPUNPCKLQDQ Y14, Y13, Y4 + VPUNPCKHQDQ Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPSUBW Y7, Y8, Y4 + VPSUBW Y9, Y10, Y5 + VPSUBW Y11, Y12, Y6 + VPADDW Y7, Y8, Y7 + VPADDW Y9, Y10, Y9 + VPADDW Y11, Y12, Y11 + VPMULLW Y4, Y0, Y8 + VPMULLW Y5, Y0, Y10 + VPSUBW Y13, Y14, Y0 + VPMULLW Y6, Y2, Y12 + VPADDW Y13, Y14, Y13 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y8, Y15, Y8 + VPMULHW Y10, Y15, Y10 + VPMULHW Y12, Y15, Y12 + VPMULHW Y14, Y15, Y14 + VPSUBW Y8, Y4, Y8 + VPSUBW Y10, Y5, Y10 + VPSUBW Y12, Y6, Y12 + VPSUBW Y14, Y0, Y14 + VPBROADCASTW 2080(CX), Y0 + VPBROADCASTW 2082(CX), Y1 + VPBROADCASTW 2084(CX), Y2 + VPBROADCASTW 2086(CX), Y3 + VPERM2I128 $0x20, Y9, Y7, Y4 + VPERM2I128 $0x31, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VPERM2I128 $0x20, Y10, Y8, Y4 + VPERM2I128 $0x31, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VPERM2I128 $0x20, Y13, Y11, Y4 + VPERM2I128 $0x31, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VPERM2I128 $0x20, Y14, Y12, Y4 + VPERM2I128 $0x31, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPSUBW Y7, Y9, Y4 + VPSUBW Y8, Y10, Y5 + VPSUBW Y11, Y13, Y6 + VPADDW Y7, Y9, Y7 + VPADDW Y8, Y10, Y8 + VPADDW Y11, Y13, Y11 + VPMULLW Y4, Y0, Y9 + VPMULLW Y5, Y0, Y10 + VPSUBW Y12, Y14, Y0 + VPMULLW Y6, Y2, Y13 + VPADDW Y12, Y14, Y12 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y9, Y4, Y9 + VPSUBW Y10, Y5, Y10 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y0, Y14 + MOVL $0x00004ebf, DX + VMOVD DX, X0 + VPBROADCASTW X0, Y4 + VPMULHW Y4, Y7, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y7, Y7 + VPMULHW Y4, Y11, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y11, Y11 + VPBROADCASTW 2096(CX), Y0 + VPBROADCASTW 2098(CX), Y1 + VPSUBW Y7, Y11, Y4 + VPSUBW Y8, Y12, Y5 + VPSUBW Y9, Y13, Y6 + VPADDW Y7, Y11, Y7 + VPADDW Y8, Y12, Y8 + VPADDW Y9, Y13, Y9 + VPMULLW Y4, Y0, Y11 + VPMULLW Y5, Y0, Y12 + VPSUBW Y10, Y14, Y2 + VPMULLW Y6, Y0, Y13 + VPADDW Y10, Y14, Y10 + VPMULLW Y2, Y0, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y1, Y6 + VPMULHW Y2, Y1, Y2 + VPMULHW Y11, Y15, Y11 + VPMULHW Y12, Y15, Y12 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y11, Y4, Y11 + VPSUBW Y12, Y5, Y12 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y2, Y14 + VMOVDQU Y7, (AX) + VMOVDQU Y8, 32(AX) + VMOVDQU Y9, 64(AX) + VMOVDQU Y10, 96(AX) + VMOVDQU Y11, 128(AX) + VMOVDQU Y12, 160(AX) + VMOVDQU Y13, 192(AX) + VMOVDQU Y14, 224(AX) + VMOVDQU 256(AX), Y7 + VMOVDQU 288(AX), Y8 + VMOVDQU 320(AX), Y9 + VMOVDQU 352(AX), Y10 + VMOVDQU 384(AX), Y11 + VMOVDQU 416(AX), Y12 + VMOVDQU 448(AX), Y13 + VMOVDQU 480(AX), Y14 + VMOVDQU 1184(CX), Y0 + VMOVDQU 1216(CX), Y1 + VMOVDQU 1248(CX), Y2 + VMOVDQU 1280(CX), Y3 + VPSUBW Y7, Y9, Y4 + VPSUBW Y8, Y10, Y5 + VPSUBW Y11, Y13, Y6 + VPADDW Y7, Y9, Y7 + VPADDW Y8, Y10, Y8 + VPADDW Y11, Y13, Y11 + VPMULLW Y4, Y0, Y9 + VPMULLW Y5, Y0, Y10 + VPSUBW Y12, Y14, Y0 + VPMULLW Y6, Y2, Y13 + VPADDW Y12, Y14, Y12 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y9, Y4, Y9 + VPSUBW Y10, Y5, Y10 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y0, Y14 + VMOVDQU 1440(CX), Y0 + VMOVDQU 1472(CX), Y1 + VMOVDQU 1504(CX), Y2 + VMOVDQU 1536(CX), Y3 + VPSLLD $0x10, Y8, Y4 + VPBLENDW $0xaa, Y4, Y7, Y4 + VPSRLD $0x10, Y7, Y7 + VPBLENDW $0xaa, Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPSLLD $0x10, Y10, Y4 + VPBLENDW $0xaa, Y4, Y9, Y4 + VPSRLD $0x10, Y9, Y9 + VPBLENDW $0xaa, Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPSLLD $0x10, Y12, Y4 + VPBLENDW $0xaa, Y4, Y11, Y4 + VPSRLD $0x10, Y11, Y11 + VPBLENDW $0xaa, Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPSLLD $0x10, Y14, Y4 + VPBLENDW $0xaa, Y4, Y13, Y4 + VPSRLD $0x10, Y13, Y13 + VPBLENDW $0xaa, Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPSUBW Y7, Y8, Y4 + VPSUBW Y9, Y10, Y5 + VPSUBW Y11, Y12, Y6 + VPADDW Y7, Y8, Y7 + VPADDW Y9, Y10, Y9 + VPADDW Y11, Y12, Y11 + VPMULLW Y4, Y0, Y8 + VPMULLW Y5, Y0, Y10 + VPSUBW Y13, Y14, Y0 + VPMULLW Y6, Y2, Y12 + VPADDW Y13, Y14, Y13 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y8, Y15, Y8 + VPMULHW Y10, Y15, Y10 + VPMULHW Y12, Y15, Y12 + VPMULHW Y14, Y15, Y14 + VPSUBW Y8, Y4, Y8 + VPSUBW Y10, Y5, Y10 + VPSUBW Y12, Y6, Y12 + VPSUBW Y14, Y0, Y14 + VMOVDQU 1696(CX), Y0 + VMOVDQU 1728(CX), Y1 + VMOVDQU 1760(CX), Y2 + VMOVDQU 1792(CX), Y3 + VMOVSLDUP Y9, Y4 + VPBLENDD $0xaa, Y4, Y7, Y4 + VPSRLQ $0x20, Y7, Y7 + VPBLENDD $0xaa, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VMOVSLDUP Y10, Y4 + VPBLENDD $0xaa, Y4, Y8, Y4 + VPSRLQ $0x20, Y8, Y8 + VPBLENDD $0xaa, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VMOVSLDUP Y13, Y4 + VPBLENDD $0xaa, Y4, Y11, Y4 + VPSRLQ $0x20, Y11, Y11 + VPBLENDD $0xaa, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VMOVSLDUP Y14, Y4 + VPBLENDD $0xaa, Y4, Y12, Y4 + VPSRLQ $0x20, Y12, Y12 + VPBLENDD $0xaa, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPSUBW Y7, Y9, Y4 + VPSUBW Y8, Y10, Y5 + VPSUBW Y11, Y13, Y6 + VPADDW Y7, Y9, Y7 + VPADDW Y8, Y10, Y8 + VPADDW Y11, Y13, Y11 + VPMULLW Y4, Y0, Y9 + VPMULLW Y5, Y0, Y10 + VPSUBW Y12, Y14, Y0 + VPMULLW Y6, Y2, Y13 + VPADDW Y12, Y14, Y12 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y9, Y4, Y9 + VPSUBW Y10, Y5, Y10 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y0, Y14 + MOVL $0x00004ebf, DX + VMOVD DX, X0 + VPBROADCASTW X0, Y4 + VPMULHW Y4, Y7, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y7, Y7 + VPMULHW Y4, Y11, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y11, Y11 + VMOVDQU 1952(CX), Y0 + VMOVDQU 1984(CX), Y1 + VMOVDQU 2016(CX), Y2 + VMOVDQU 2048(CX), Y3 + VPUNPCKLQDQ Y8, Y7, Y4 + VPUNPCKHQDQ Y8, Y7, Y8 + VMOVDQA Y4, Y7 + VPUNPCKLQDQ Y10, Y9, Y4 + VPUNPCKHQDQ Y10, Y9, Y10 + VMOVDQA Y4, Y9 + VPUNPCKLQDQ Y12, Y11, Y4 + VPUNPCKHQDQ Y12, Y11, Y12 + VMOVDQA Y4, Y11 + VPUNPCKLQDQ Y14, Y13, Y4 + VPUNPCKHQDQ Y14, Y13, Y14 + VMOVDQA Y4, Y13 + VPSUBW Y7, Y8, Y4 + VPSUBW Y9, Y10, Y5 + VPSUBW Y11, Y12, Y6 + VPADDW Y7, Y8, Y7 + VPADDW Y9, Y10, Y9 + VPADDW Y11, Y12, Y11 + VPMULLW Y4, Y0, Y8 + VPMULLW Y5, Y0, Y10 + VPSUBW Y13, Y14, Y0 + VPMULLW Y6, Y2, Y12 + VPADDW Y13, Y14, Y13 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y8, Y15, Y8 + VPMULHW Y10, Y15, Y10 + VPMULHW Y12, Y15, Y12 + VPMULHW Y14, Y15, Y14 + VPSUBW Y8, Y4, Y8 + VPSUBW Y10, Y5, Y10 + VPSUBW Y12, Y6, Y12 + VPSUBW Y14, Y0, Y14 + VPBROADCASTW 2088(CX), Y0 + VPBROADCASTW 2090(CX), Y1 + VPBROADCASTW 2092(CX), Y2 + VPBROADCASTW 2094(CX), Y3 + VPERM2I128 $0x20, Y9, Y7, Y4 + VPERM2I128 $0x31, Y9, Y7, Y9 + VMOVDQA Y4, Y7 + VPERM2I128 $0x20, Y10, Y8, Y4 + VPERM2I128 $0x31, Y10, Y8, Y10 + VMOVDQA Y4, Y8 + VPERM2I128 $0x20, Y13, Y11, Y4 + VPERM2I128 $0x31, Y13, Y11, Y13 + VMOVDQA Y4, Y11 + VPERM2I128 $0x20, Y14, Y12, Y4 + VPERM2I128 $0x31, Y14, Y12, Y14 + VMOVDQA Y4, Y12 + VPSUBW Y7, Y9, Y4 + VPSUBW Y8, Y10, Y5 + VPSUBW Y11, Y13, Y6 + VPADDW Y7, Y9, Y7 + VPADDW Y8, Y10, Y8 + VPADDW Y11, Y13, Y11 + VPMULLW Y4, Y0, Y9 + VPMULLW Y5, Y0, Y10 + VPSUBW Y12, Y14, Y0 + VPMULLW Y6, Y2, Y13 + VPADDW Y12, Y14, Y12 + VPMULLW Y0, Y2, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y3, Y6 + VPMULHW Y0, Y3, Y0 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y9, Y4, Y9 + VPSUBW Y10, Y5, Y10 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y0, Y14 + MOVL $0x00004ebf, DX + VMOVD DX, X0 + VPBROADCASTW X0, Y4 + VPMULHW Y4, Y7, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y7, Y7 + VPMULHW Y4, Y11, Y5 + VPSRAW $0x0a, Y5, Y5 + VPMULLW Y15, Y5, Y5 + VPSUBW Y5, Y11, Y11 + VPBROADCASTW 2100(CX), Y0 + VPBROADCASTW 2102(CX), Y1 + VPSUBW Y7, Y11, Y4 + VPSUBW Y8, Y12, Y5 + VPSUBW Y9, Y13, Y6 + VPADDW Y7, Y11, Y7 + VPADDW Y8, Y12, Y8 + VPADDW Y9, Y13, Y9 + VPMULLW Y4, Y0, Y11 + VPMULLW Y5, Y0, Y12 + VPSUBW Y10, Y14, Y2 + VPMULLW Y6, Y0, Y13 + VPADDW Y10, Y14, Y10 + VPMULLW Y2, Y0, Y14 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y6, Y1, Y6 + VPMULHW Y2, Y1, Y2 + VPMULHW Y11, Y15, Y11 + VPMULHW Y12, Y15, Y12 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y11, Y4, Y11 + VPSUBW Y12, Y5, Y12 + VPSUBW Y13, Y6, Y13 + VPSUBW Y14, Y2, Y14 + VMOVDQU Y7, 256(AX) + VMOVDQU Y8, 288(AX) + VMOVDQU Y9, 320(AX) + VMOVDQU Y10, 352(AX) + VMOVDQU Y11, 384(AX) + VMOVDQU Y12, 416(AX) + VMOVDQU Y13, 448(AX) + VMOVDQU Y14, 480(AX) + VPBROADCASTW 2104(CX), Y0 + VPBROADCASTW 2106(CX), Y1 + VMOVDQU (AX), Y7 + VMOVDQU 32(AX), Y8 + VMOVDQU 64(AX), Y9 + VMOVDQU 96(AX), Y10 + VMOVDQU 256(AX), Y11 + VMOVDQU 288(AX), Y12 + VMOVDQU 320(AX), Y13 + VMOVDQU 352(AX), Y14 + VPSUBW Y7, Y11, Y2 + VPSUBW Y8, Y12, Y3 + VPSUBW Y9, Y13, Y4 + VPADDW Y7, Y11, Y7 + VPADDW Y8, Y12, Y8 + VPADDW Y9, Y13, Y9 + VPMULLW Y2, Y0, Y11 + VPMULLW Y3, Y0, Y12 + VPSUBW Y10, Y14, Y5 + VPMULLW Y4, Y0, Y13 + VPADDW Y10, Y14, Y10 + VPMULLW Y5, Y0, Y14 + VPMULHW Y2, Y1, Y2 + VPMULHW Y3, Y1, Y3 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y11, Y15, Y11 + VPMULHW Y12, Y15, Y12 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y11, Y2, Y11 + VPSUBW Y12, Y3, Y12 + VPSUBW Y13, Y4, Y13 + VPSUBW Y14, Y5, Y14 + MOVL $0xffffd8a1, DX + VMOVD DX, X0 + VPBROADCASTW X0, Y0 + MOVL $0x000005a1, DX + VMOVD DX, X1 + VPBROADCASTW X1, Y1 + VPMULLW Y7, Y0, Y2 + VPMULLW Y8, Y0, Y3 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULHW Y7, Y1, Y7 + VPMULHW Y8, Y1, Y8 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y7, Y7 + VPSUBW Y3, Y8, Y8 + VPSUBW Y4, Y9, Y9 + VPSUBW Y5, Y10, Y10 + VPMULLW Y11, Y0, Y2 + VPMULLW Y12, Y0, Y3 + VPMULLW Y13, Y0, Y4 + VPMULLW Y14, Y0, Y5 + VPMULHW Y11, Y1, Y11 + VPMULHW Y12, Y1, Y12 + VPMULHW Y13, Y1, Y13 + VPMULHW Y14, Y1, Y14 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y11, Y11 + VPSUBW Y3, Y12, Y12 + VPSUBW Y4, Y13, Y13 + VPSUBW Y5, Y14, Y14 + VMOVDQU Y7, (AX) + VMOVDQU Y8, 32(AX) + VMOVDQU Y9, 64(AX) + VMOVDQU Y10, 96(AX) + VMOVDQU Y11, 256(AX) + VMOVDQU Y12, 288(AX) + VMOVDQU Y13, 320(AX) + VMOVDQU Y14, 352(AX) + VPBROADCASTW 2104(CX), Y0 + VPBROADCASTW 2106(CX), Y1 + VMOVDQU 128(AX), Y7 + VMOVDQU 160(AX), Y8 + VMOVDQU 192(AX), Y9 + VMOVDQU 224(AX), Y10 + VMOVDQU 384(AX), Y11 + VMOVDQU 416(AX), Y12 + VMOVDQU 448(AX), Y13 + VMOVDQU 480(AX), Y14 + VPSUBW Y7, Y11, Y2 + VPSUBW Y8, Y12, Y3 + VPSUBW Y9, Y13, Y4 + VPADDW Y7, Y11, Y7 + VPADDW Y8, Y12, Y8 + VPADDW Y9, Y13, Y9 + VPMULLW Y2, Y0, Y11 + VPMULLW Y3, Y0, Y12 + VPSUBW Y10, Y14, Y5 + VPMULLW Y4, Y0, Y13 + VPADDW Y10, Y14, Y10 + VPMULLW Y5, Y0, Y14 + VPMULHW Y2, Y1, Y2 + VPMULHW Y3, Y1, Y3 + VPMULHW Y4, Y1, Y4 + VPMULHW Y5, Y1, Y5 + VPMULHW Y11, Y15, Y11 + VPMULHW Y12, Y15, Y12 + VPMULHW Y13, Y15, Y13 + VPMULHW Y14, Y15, Y14 + VPSUBW Y11, Y2, Y11 + VPSUBW Y12, Y3, Y12 + VPSUBW Y13, Y4, Y13 + VPSUBW Y14, Y5, Y14 + MOVL $0xffffd8a1, CX + VMOVD CX, X0 + VPBROADCASTW X0, Y0 + MOVL $0x000005a1, CX + VMOVD CX, X1 + VPBROADCASTW X1, Y1 + VPMULLW Y7, Y0, Y2 + VPMULLW Y8, Y0, Y3 + VPMULLW Y9, Y0, Y4 + VPMULLW Y10, Y0, Y5 + VPMULHW Y7, Y1, Y7 + VPMULHW Y8, Y1, Y8 + VPMULHW Y9, Y1, Y9 + VPMULHW Y10, Y1, Y10 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y7, Y7 + VPSUBW Y3, Y8, Y8 + VPSUBW Y4, Y9, Y9 + VPSUBW Y5, Y10, Y10 + VPMULLW Y11, Y0, Y2 + VPMULLW Y12, Y0, Y3 + VPMULLW Y13, Y0, Y4 + VPMULLW Y14, Y0, Y5 + VPMULHW Y11, Y1, Y11 + VPMULHW Y12, Y1, Y12 + VPMULHW Y13, Y1, Y13 + VPMULHW Y14, Y1, Y14 + VPMULHW Y2, Y15, Y2 + VPMULHW Y3, Y15, Y3 + VPMULHW Y4, Y15, Y4 + VPMULHW Y5, Y15, Y5 + VPSUBW Y2, Y11, Y11 + VPSUBW Y3, Y12, Y12 + VPSUBW Y4, Y13, Y13 + VPSUBW Y5, Y14, Y14 + VMOVDQU Y7, 128(AX) + VMOVDQU Y8, 160(AX) + VMOVDQU Y9, 192(AX) + VMOVDQU Y10, 224(AX) + VMOVDQU Y11, 384(AX) + VMOVDQU Y12, 416(AX) + VMOVDQU Y13, 448(AX) + VMOVDQU Y14, 480(AX) + RET + +// func mulHatAVX2(p *[256]int16, a *[256]int16, b *[256]int16) +// Requires: AVX, AVX2 +TEXT ·mulHatAVX2(SB), NOSPLIT, $0-24 + MOVQ p+0(FP), AX + MOVQ a+8(FP), CX + MOVQ b+16(FP), DX + LEAQ ·ZetasAVX2+0(SB), BX + MOVL $0xfffff301, BP + VMOVD BP, X0 + VPBROADCASTW X0, Y14 + MOVL $0x00000d01, BP + VMOVD BP, X0 + VPBROADCASTW X0, Y15 + VMOVDQU (CX), Y0 + VMOVDQU 32(CX), Y1 + VMOVDQU 64(CX), Y2 + VMOVDQU 96(CX), Y3 + VMOVDQU (DX), Y4 + VMOVDQU 32(DX), Y5 + VMOVDQU 64(DX), Y6 + VMOVDQU 96(DX), Y7 + VPMULLW Y1, Y5, Y8 + VPMULLW Y0, Y4, Y9 + VPMULLW Y0, Y5, Y10 + VPMULLW Y1, Y4, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y1, Y5, Y12 + VPMULHW Y0, Y4, Y13 + VPMULHW Y0, Y5, Y0 + VPMULHW Y1, Y4, Y1 + VMOVDQA Y12, Y4 + VMOVDQA Y13, Y5 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y4, Y4 + VPSUBW Y9, Y5, Y5 + VPSUBW Y10, Y0, Y0 + VPSUBW Y11, Y1, Y1 + VMOVDQU 800(BX), Y12 + VMOVDQU 832(BX), Y13 + VPMULLW Y4, Y12, Y8 + VPMULHW Y4, Y13, Y4 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y4, Y4 + VPADDW Y4, Y5, Y4 + VPADDW Y0, Y1, Y5 + VPMULLW Y3, Y7, Y8 + VPMULLW Y2, Y6, Y9 + VPMULLW Y2, Y7, Y10 + VPMULLW Y3, Y6, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y3, Y7, Y12 + VPMULHW Y2, Y6, Y13 + VPMULHW Y2, Y7, Y2 + VPMULHW Y3, Y6, Y3 + VMOVDQA Y12, Y6 + VMOVDQA Y13, Y7 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y6, Y6 + VPSUBW Y9, Y7, Y7 + VPSUBW Y10, Y2, Y2 + VPSUBW Y11, Y3, Y3 + VMOVDQU 800(BX), Y12 + VMOVDQU 832(BX), Y13 + VPMULLW Y6, Y12, Y8 + VPMULHW Y6, Y13, Y6 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y6, Y6 + VPSUBW Y6, Y7, Y6 + VPADDW Y2, Y3, Y7 + VMOVDQU Y4, (AX) + VMOVDQU Y5, 32(AX) + VMOVDQU Y6, 64(AX) + VMOVDQU Y7, 96(AX) + VMOVDQU 128(CX), Y0 + VMOVDQU 160(CX), Y1 + VMOVDQU 192(CX), Y2 + VMOVDQU 224(CX), Y3 + VMOVDQU 128(DX), Y4 + VMOVDQU 160(DX), Y5 + VMOVDQU 192(DX), Y6 + VMOVDQU 224(DX), Y7 + VPMULLW Y1, Y5, Y8 + VPMULLW Y0, Y4, Y9 + VPMULLW Y0, Y5, Y10 + VPMULLW Y1, Y4, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y1, Y5, Y12 + VPMULHW Y0, Y4, Y13 + VPMULHW Y0, Y5, Y0 + VPMULHW Y1, Y4, Y1 + VMOVDQA Y12, Y4 + VMOVDQA Y13, Y5 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y4, Y4 + VPSUBW Y9, Y5, Y5 + VPSUBW Y10, Y0, Y0 + VPSUBW Y11, Y1, Y1 + VMOVDQU 864(BX), Y12 + VMOVDQU 896(BX), Y13 + VPMULLW Y4, Y12, Y8 + VPMULHW Y4, Y13, Y4 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y4, Y4 + VPADDW Y4, Y5, Y4 + VPADDW Y0, Y1, Y5 + VPMULLW Y3, Y7, Y8 + VPMULLW Y2, Y6, Y9 + VPMULLW Y2, Y7, Y10 + VPMULLW Y3, Y6, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y3, Y7, Y12 + VPMULHW Y2, Y6, Y13 + VPMULHW Y2, Y7, Y2 + VPMULHW Y3, Y6, Y3 + VMOVDQA Y12, Y6 + VMOVDQA Y13, Y7 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y6, Y6 + VPSUBW Y9, Y7, Y7 + VPSUBW Y10, Y2, Y2 + VPSUBW Y11, Y3, Y3 + VMOVDQU 864(BX), Y12 + VMOVDQU 896(BX), Y13 + VPMULLW Y6, Y12, Y8 + VPMULHW Y6, Y13, Y6 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y6, Y6 + VPSUBW Y6, Y7, Y6 + VPADDW Y2, Y3, Y7 + VMOVDQU Y4, 128(AX) + VMOVDQU Y5, 160(AX) + VMOVDQU Y6, 192(AX) + VMOVDQU Y7, 224(AX) + VMOVDQU 256(CX), Y0 + VMOVDQU 288(CX), Y1 + VMOVDQU 320(CX), Y2 + VMOVDQU 352(CX), Y3 + VMOVDQU 256(DX), Y4 + VMOVDQU 288(DX), Y5 + VMOVDQU 320(DX), Y6 + VMOVDQU 352(DX), Y7 + VPMULLW Y1, Y5, Y8 + VPMULLW Y0, Y4, Y9 + VPMULLW Y0, Y5, Y10 + VPMULLW Y1, Y4, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y1, Y5, Y12 + VPMULHW Y0, Y4, Y13 + VPMULHW Y0, Y5, Y0 + VPMULHW Y1, Y4, Y1 + VMOVDQA Y12, Y4 + VMOVDQA Y13, Y5 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y4, Y4 + VPSUBW Y9, Y5, Y5 + VPSUBW Y10, Y0, Y0 + VPSUBW Y11, Y1, Y1 + VMOVDQU 928(BX), Y12 + VMOVDQU 960(BX), Y13 + VPMULLW Y4, Y12, Y8 + VPMULHW Y4, Y13, Y4 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y4, Y4 + VPADDW Y4, Y5, Y4 + VPADDW Y0, Y1, Y5 + VPMULLW Y3, Y7, Y8 + VPMULLW Y2, Y6, Y9 + VPMULLW Y2, Y7, Y10 + VPMULLW Y3, Y6, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y3, Y7, Y12 + VPMULHW Y2, Y6, Y13 + VPMULHW Y2, Y7, Y2 + VPMULHW Y3, Y6, Y3 + VMOVDQA Y12, Y6 + VMOVDQA Y13, Y7 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y6, Y6 + VPSUBW Y9, Y7, Y7 + VPSUBW Y10, Y2, Y2 + VPSUBW Y11, Y3, Y3 + VMOVDQU 928(BX), Y12 + VMOVDQU 960(BX), Y13 + VPMULLW Y6, Y12, Y8 + VPMULHW Y6, Y13, Y6 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y6, Y6 + VPSUBW Y6, Y7, Y6 + VPADDW Y2, Y3, Y7 + VMOVDQU Y4, 256(AX) + VMOVDQU Y5, 288(AX) + VMOVDQU Y6, 320(AX) + VMOVDQU Y7, 352(AX) + VMOVDQU 384(CX), Y0 + VMOVDQU 416(CX), Y1 + VMOVDQU 448(CX), Y2 + VMOVDQU 480(CX), Y3 + VMOVDQU 384(DX), Y4 + VMOVDQU 416(DX), Y5 + VMOVDQU 448(DX), Y6 + VMOVDQU 480(DX), Y7 + VPMULLW Y1, Y5, Y8 + VPMULLW Y0, Y4, Y9 + VPMULLW Y0, Y5, Y10 + VPMULLW Y1, Y4, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y1, Y5, Y12 + VPMULHW Y0, Y4, Y13 + VPMULHW Y0, Y5, Y0 + VPMULHW Y1, Y4, Y1 + VMOVDQA Y12, Y4 + VMOVDQA Y13, Y5 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y4, Y4 + VPSUBW Y9, Y5, Y5 + VPSUBW Y10, Y0, Y0 + VPSUBW Y11, Y1, Y1 + VMOVDQU 992(BX), Y12 + VMOVDQU 1024(BX), Y13 + VPMULLW Y4, Y12, Y8 + VPMULHW Y4, Y13, Y4 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y4, Y4 + VPADDW Y4, Y5, Y4 + VPADDW Y0, Y1, Y5 + VPMULLW Y3, Y7, Y8 + VPMULLW Y2, Y6, Y9 + VPMULLW Y2, Y7, Y10 + VPMULLW Y3, Y6, Y11 + VPMULLW Y8, Y14, Y8 + VPMULLW Y9, Y14, Y9 + VPMULLW Y10, Y14, Y10 + VPMULLW Y11, Y14, Y11 + VPMULHW Y3, Y7, Y12 + VPMULHW Y2, Y6, Y13 + VPMULHW Y2, Y7, Y2 + VPMULHW Y3, Y6, Y3 + VMOVDQA Y12, Y6 + VMOVDQA Y13, Y7 + VPMULHW Y8, Y15, Y8 + VPMULHW Y9, Y15, Y9 + VPMULHW Y10, Y15, Y10 + VPMULHW Y11, Y15, Y11 + VPSUBW Y8, Y6, Y6 + VPSUBW Y9, Y7, Y7 + VPSUBW Y10, Y2, Y2 + VPSUBW Y11, Y3, Y3 + VMOVDQU 992(BX), Y12 + VMOVDQU 1024(BX), Y13 + VPMULLW Y6, Y12, Y8 + VPMULHW Y6, Y13, Y6 + VPMULHW Y8, Y15, Y8 + VPSUBW Y8, Y6, Y6 + VPSUBW Y6, Y7, Y6 + VPADDW Y2, Y3, Y7 + VMOVDQU Y4, 384(AX) + VMOVDQU Y5, 416(AX) + VMOVDQU Y6, 448(AX) + VMOVDQU Y7, 480(AX) + RET + +// func detangleAVX2(p *[256]int16) +// Requires: AVX, AVX2 +TEXT ·detangleAVX2(SB), NOSPLIT, $0-8 + MOVQ p+0(FP), AX + VMOVDQU (AX), Y0 + VMOVDQU 32(AX), Y1 + VMOVDQU 64(AX), Y2 + VMOVDQU 96(AX), Y3 + VMOVDQU 128(AX), Y4 + VMOVDQU 160(AX), Y5 + VMOVDQU 192(AX), Y6 + VMOVDQU 224(AX), Y7 + VPSLLD $0x10, Y1, Y8 + VPBLENDW $0xaa, Y8, Y0, Y8 + VPSRLD $0x10, Y0, Y0 + VPBLENDW $0xaa, Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPSLLD $0x10, Y3, Y8 + VPBLENDW $0xaa, Y8, Y2, Y8 + VPSRLD $0x10, Y2, Y2 + VPBLENDW $0xaa, Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPSLLD $0x10, Y5, Y8 + VPBLENDW $0xaa, Y8, Y4, Y8 + VPSRLD $0x10, Y4, Y4 + VPBLENDW $0xaa, Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPSLLD $0x10, Y7, Y8 + VPBLENDW $0xaa, Y8, Y6, Y8 + VPSRLD $0x10, Y6, Y6 + VPBLENDW $0xaa, Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VMOVSLDUP Y2, Y8 + VPBLENDD $0xaa, Y8, Y0, Y8 + VPSRLQ $0x20, Y0, Y0 + VPBLENDD $0xaa, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VMOVSLDUP Y3, Y8 + VPBLENDD $0xaa, Y8, Y1, Y8 + VPSRLQ $0x20, Y1, Y1 + VPBLENDD $0xaa, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VMOVSLDUP Y6, Y8 + VPBLENDD $0xaa, Y8, Y4, Y8 + VPSRLQ $0x20, Y4, Y4 + VPBLENDD $0xaa, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VMOVSLDUP Y7, Y8 + VPBLENDD $0xaa, Y8, Y5, Y8 + VPSRLQ $0x20, Y5, Y5 + VPBLENDD $0xaa, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VPUNPCKLQDQ Y1, Y0, Y8 + VPUNPCKHQDQ Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPUNPCKLQDQ Y3, Y2, Y8 + VPUNPCKHQDQ Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPUNPCKLQDQ Y5, Y4, Y8 + VPUNPCKHQDQ Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPUNPCKLQDQ Y7, Y6, Y8 + VPUNPCKHQDQ Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VPERM2I128 $0x20, Y2, Y0, Y8 + VPERM2I128 $0x31, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VPERM2I128 $0x20, Y3, Y1, Y8 + VPERM2I128 $0x31, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VPERM2I128 $0x20, Y6, Y4, Y8 + VPERM2I128 $0x31, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VPERM2I128 $0x20, Y7, Y5, Y8 + VPERM2I128 $0x31, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VMOVDQU Y0, (AX) + VMOVDQU Y1, 32(AX) + VMOVDQU Y2, 64(AX) + VMOVDQU Y3, 96(AX) + VMOVDQU Y4, 128(AX) + VMOVDQU Y5, 160(AX) + VMOVDQU Y6, 192(AX) + VMOVDQU Y7, 224(AX) + VMOVDQU 256(AX), Y0 + VMOVDQU 288(AX), Y1 + VMOVDQU 320(AX), Y2 + VMOVDQU 352(AX), Y3 + VMOVDQU 384(AX), Y4 + VMOVDQU 416(AX), Y5 + VMOVDQU 448(AX), Y6 + VMOVDQU 480(AX), Y7 + VPSLLD $0x10, Y1, Y8 + VPBLENDW $0xaa, Y8, Y0, Y8 + VPSRLD $0x10, Y0, Y0 + VPBLENDW $0xaa, Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPSLLD $0x10, Y3, Y8 + VPBLENDW $0xaa, Y8, Y2, Y8 + VPSRLD $0x10, Y2, Y2 + VPBLENDW $0xaa, Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPSLLD $0x10, Y5, Y8 + VPBLENDW $0xaa, Y8, Y4, Y8 + VPSRLD $0x10, Y4, Y4 + VPBLENDW $0xaa, Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPSLLD $0x10, Y7, Y8 + VPBLENDW $0xaa, Y8, Y6, Y8 + VPSRLD $0x10, Y6, Y6 + VPBLENDW $0xaa, Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VMOVSLDUP Y2, Y8 + VPBLENDD $0xaa, Y8, Y0, Y8 + VPSRLQ $0x20, Y0, Y0 + VPBLENDD $0xaa, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VMOVSLDUP Y3, Y8 + VPBLENDD $0xaa, Y8, Y1, Y8 + VPSRLQ $0x20, Y1, Y1 + VPBLENDD $0xaa, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VMOVSLDUP Y6, Y8 + VPBLENDD $0xaa, Y8, Y4, Y8 + VPSRLQ $0x20, Y4, Y4 + VPBLENDD $0xaa, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VMOVSLDUP Y7, Y8 + VPBLENDD $0xaa, Y8, Y5, Y8 + VPSRLQ $0x20, Y5, Y5 + VPBLENDD $0xaa, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VPUNPCKLQDQ Y1, Y0, Y8 + VPUNPCKHQDQ Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPUNPCKLQDQ Y3, Y2, Y8 + VPUNPCKHQDQ Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPUNPCKLQDQ Y5, Y4, Y8 + VPUNPCKHQDQ Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPUNPCKLQDQ Y7, Y6, Y8 + VPUNPCKHQDQ Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VPERM2I128 $0x20, Y2, Y0, Y8 + VPERM2I128 $0x31, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VPERM2I128 $0x20, Y3, Y1, Y8 + VPERM2I128 $0x31, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VPERM2I128 $0x20, Y6, Y4, Y8 + VPERM2I128 $0x31, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VPERM2I128 $0x20, Y7, Y5, Y8 + VPERM2I128 $0x31, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VMOVDQU Y0, 256(AX) + VMOVDQU Y1, 288(AX) + VMOVDQU Y2, 320(AX) + VMOVDQU Y3, 352(AX) + VMOVDQU Y4, 384(AX) + VMOVDQU Y5, 416(AX) + VMOVDQU Y6, 448(AX) + VMOVDQU Y7, 480(AX) + RET + +// func tangleAVX2(p *[256]int16) +// Requires: AVX, AVX2 +TEXT ·tangleAVX2(SB), NOSPLIT, $0-8 + MOVQ p+0(FP), AX + VMOVDQU (AX), Y0 + VMOVDQU 32(AX), Y1 + VMOVDQU 64(AX), Y2 + VMOVDQU 96(AX), Y3 + VMOVDQU 128(AX), Y4 + VMOVDQU 160(AX), Y5 + VMOVDQU 192(AX), Y6 + VMOVDQU 224(AX), Y7 + VPERM2I128 $0x20, Y2, Y0, Y8 + VPERM2I128 $0x31, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VPERM2I128 $0x20, Y3, Y1, Y8 + VPERM2I128 $0x31, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VPERM2I128 $0x20, Y6, Y4, Y8 + VPERM2I128 $0x31, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VPERM2I128 $0x20, Y7, Y5, Y8 + VPERM2I128 $0x31, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VPUNPCKLQDQ Y1, Y0, Y8 + VPUNPCKHQDQ Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPUNPCKLQDQ Y3, Y2, Y8 + VPUNPCKHQDQ Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPUNPCKLQDQ Y5, Y4, Y8 + VPUNPCKHQDQ Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPUNPCKLQDQ Y7, Y6, Y8 + VPUNPCKHQDQ Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VMOVSLDUP Y2, Y8 + VPBLENDD $0xaa, Y8, Y0, Y8 + VPSRLQ $0x20, Y0, Y0 + VPBLENDD $0xaa, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VMOVSLDUP Y3, Y8 + VPBLENDD $0xaa, Y8, Y1, Y8 + VPSRLQ $0x20, Y1, Y1 + VPBLENDD $0xaa, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VMOVSLDUP Y6, Y8 + VPBLENDD $0xaa, Y8, Y4, Y8 + VPSRLQ $0x20, Y4, Y4 + VPBLENDD $0xaa, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VMOVSLDUP Y7, Y8 + VPBLENDD $0xaa, Y8, Y5, Y8 + VPSRLQ $0x20, Y5, Y5 + VPBLENDD $0xaa, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VPSLLD $0x10, Y1, Y8 + VPBLENDW $0xaa, Y8, Y0, Y8 + VPSRLD $0x10, Y0, Y0 + VPBLENDW $0xaa, Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPSLLD $0x10, Y3, Y8 + VPBLENDW $0xaa, Y8, Y2, Y8 + VPSRLD $0x10, Y2, Y2 + VPBLENDW $0xaa, Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPSLLD $0x10, Y5, Y8 + VPBLENDW $0xaa, Y8, Y4, Y8 + VPSRLD $0x10, Y4, Y4 + VPBLENDW $0xaa, Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPSLLD $0x10, Y7, Y8 + VPBLENDW $0xaa, Y8, Y6, Y8 + VPSRLD $0x10, Y6, Y6 + VPBLENDW $0xaa, Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VMOVDQU Y0, (AX) + VMOVDQU Y1, 32(AX) + VMOVDQU Y2, 64(AX) + VMOVDQU Y3, 96(AX) + VMOVDQU Y4, 128(AX) + VMOVDQU Y5, 160(AX) + VMOVDQU Y6, 192(AX) + VMOVDQU Y7, 224(AX) + VMOVDQU 256(AX), Y0 + VMOVDQU 288(AX), Y1 + VMOVDQU 320(AX), Y2 + VMOVDQU 352(AX), Y3 + VMOVDQU 384(AX), Y4 + VMOVDQU 416(AX), Y5 + VMOVDQU 448(AX), Y6 + VMOVDQU 480(AX), Y7 + VPERM2I128 $0x20, Y2, Y0, Y8 + VPERM2I128 $0x31, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VPERM2I128 $0x20, Y3, Y1, Y8 + VPERM2I128 $0x31, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VPERM2I128 $0x20, Y6, Y4, Y8 + VPERM2I128 $0x31, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VPERM2I128 $0x20, Y7, Y5, Y8 + VPERM2I128 $0x31, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VPUNPCKLQDQ Y1, Y0, Y8 + VPUNPCKHQDQ Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPUNPCKLQDQ Y3, Y2, Y8 + VPUNPCKHQDQ Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPUNPCKLQDQ Y5, Y4, Y8 + VPUNPCKHQDQ Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPUNPCKLQDQ Y7, Y6, Y8 + VPUNPCKHQDQ Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VMOVSLDUP Y2, Y8 + VPBLENDD $0xaa, Y8, Y0, Y8 + VPSRLQ $0x20, Y0, Y0 + VPBLENDD $0xaa, Y2, Y0, Y2 + VMOVDQA Y8, Y0 + VMOVSLDUP Y3, Y8 + VPBLENDD $0xaa, Y8, Y1, Y8 + VPSRLQ $0x20, Y1, Y1 + VPBLENDD $0xaa, Y3, Y1, Y3 + VMOVDQA Y8, Y1 + VMOVSLDUP Y6, Y8 + VPBLENDD $0xaa, Y8, Y4, Y8 + VPSRLQ $0x20, Y4, Y4 + VPBLENDD $0xaa, Y6, Y4, Y6 + VMOVDQA Y8, Y4 + VMOVSLDUP Y7, Y8 + VPBLENDD $0xaa, Y8, Y5, Y8 + VPSRLQ $0x20, Y5, Y5 + VPBLENDD $0xaa, Y7, Y5, Y7 + VMOVDQA Y8, Y5 + VPSLLD $0x10, Y1, Y8 + VPBLENDW $0xaa, Y8, Y0, Y8 + VPSRLD $0x10, Y0, Y0 + VPBLENDW $0xaa, Y1, Y0, Y1 + VMOVDQA Y8, Y0 + VPSLLD $0x10, Y3, Y8 + VPBLENDW $0xaa, Y8, Y2, Y8 + VPSRLD $0x10, Y2, Y2 + VPBLENDW $0xaa, Y3, Y2, Y3 + VMOVDQA Y8, Y2 + VPSLLD $0x10, Y5, Y8 + VPBLENDW $0xaa, Y8, Y4, Y8 + VPSRLD $0x10, Y4, Y4 + VPBLENDW $0xaa, Y5, Y4, Y5 + VMOVDQA Y8, Y4 + VPSLLD $0x10, Y7, Y8 + VPBLENDW $0xaa, Y8, Y6, Y8 + VPSRLD $0x10, Y6, Y6 + VPBLENDW $0xaa, Y7, Y6, Y7 + VMOVDQA Y8, Y6 + VMOVDQU Y0, 256(AX) + VMOVDQU Y1, 288(AX) + VMOVDQU Y2, 320(AX) + VMOVDQU Y3, 352(AX) + VMOVDQU Y4, 384(AX) + VMOVDQU Y5, 416(AX) + VMOVDQU Y6, 448(AX) + VMOVDQU Y7, 480(AX) + RET + +// func barrettReduceAVX2(p *[256]int16) +// Requires: AVX, AVX2 +TEXT ·barrettReduceAVX2(SB), NOSPLIT, $0-8 + MOVQ p+0(FP), AX + MOVL $0x00000d01, CX + VMOVD CX, X0 + VPBROADCASTW X0, Y9 + MOVL $0x00004ebf, CX + VMOVD CX, X0 + VPBROADCASTW X0, Y8 + VMOVDQU (AX), Y0 + VMOVDQU 32(AX), Y1 + VMOVDQU 64(AX), Y2 + VMOVDQU 96(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VMOVDQU Y0, (AX) + VMOVDQU Y1, 32(AX) + VMOVDQU Y2, 64(AX) + VMOVDQU Y3, 96(AX) + VMOVDQU 128(AX), Y0 + VMOVDQU 160(AX), Y1 + VMOVDQU 192(AX), Y2 + VMOVDQU 224(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VMOVDQU Y0, 128(AX) + VMOVDQU Y1, 160(AX) + VMOVDQU Y2, 192(AX) + VMOVDQU Y3, 224(AX) + VMOVDQU 256(AX), Y0 + VMOVDQU 288(AX), Y1 + VMOVDQU 320(AX), Y2 + VMOVDQU 352(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VMOVDQU Y0, 256(AX) + VMOVDQU Y1, 288(AX) + VMOVDQU Y2, 320(AX) + VMOVDQU Y3, 352(AX) + VMOVDQU 384(AX), Y0 + VMOVDQU 416(AX), Y1 + VMOVDQU 448(AX), Y2 + VMOVDQU 480(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VMOVDQU Y0, 384(AX) + VMOVDQU Y1, 416(AX) + VMOVDQU Y2, 448(AX) + VMOVDQU Y3, 480(AX) + RET + +// func normalizeAVX2(p *[256]int16) +// Requires: AVX, AVX2 +TEXT ·normalizeAVX2(SB), NOSPLIT, $0-8 + MOVQ p+0(FP), AX + MOVL $0x00000d01, CX + VMOVD CX, X0 + VPBROADCASTW X0, Y9 + MOVL $0x00004ebf, CX + VMOVD CX, X0 + VPBROADCASTW X0, Y8 + VMOVDQU (AX), Y0 + VMOVDQU 32(AX), Y1 + VMOVDQU 64(AX), Y2 + VMOVDQU 96(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VPSUBW Y9, Y0, Y0 + VPSUBW Y9, Y1, Y1 + VPSUBW Y9, Y2, Y2 + VPSUBW Y9, Y3, Y3 + VPSRAW $0x0f, Y0, Y4 + VPSRAW $0x0f, Y1, Y5 + VPSRAW $0x0f, Y2, Y6 + VPSRAW $0x0f, Y3, Y7 + VPAND Y4, Y9, Y4 + VPAND Y5, Y9, Y5 + VPAND Y6, Y9, Y6 + VPAND Y7, Y9, Y7 + VPADDW Y0, Y4, Y0 + VPADDW Y1, Y5, Y1 + VPADDW Y2, Y6, Y2 + VPADDW Y3, Y7, Y3 + VMOVDQU Y0, (AX) + VMOVDQU Y1, 32(AX) + VMOVDQU Y2, 64(AX) + VMOVDQU Y3, 96(AX) + VMOVDQU 128(AX), Y0 + VMOVDQU 160(AX), Y1 + VMOVDQU 192(AX), Y2 + VMOVDQU 224(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VPSUBW Y9, Y0, Y0 + VPSUBW Y9, Y1, Y1 + VPSUBW Y9, Y2, Y2 + VPSUBW Y9, Y3, Y3 + VPSRAW $0x0f, Y0, Y4 + VPSRAW $0x0f, Y1, Y5 + VPSRAW $0x0f, Y2, Y6 + VPSRAW $0x0f, Y3, Y7 + VPAND Y4, Y9, Y4 + VPAND Y5, Y9, Y5 + VPAND Y6, Y9, Y6 + VPAND Y7, Y9, Y7 + VPADDW Y0, Y4, Y0 + VPADDW Y1, Y5, Y1 + VPADDW Y2, Y6, Y2 + VPADDW Y3, Y7, Y3 + VMOVDQU Y0, 128(AX) + VMOVDQU Y1, 160(AX) + VMOVDQU Y2, 192(AX) + VMOVDQU Y3, 224(AX) + VMOVDQU 256(AX), Y0 + VMOVDQU 288(AX), Y1 + VMOVDQU 320(AX), Y2 + VMOVDQU 352(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VPSUBW Y9, Y0, Y0 + VPSUBW Y9, Y1, Y1 + VPSUBW Y9, Y2, Y2 + VPSUBW Y9, Y3, Y3 + VPSRAW $0x0f, Y0, Y4 + VPSRAW $0x0f, Y1, Y5 + VPSRAW $0x0f, Y2, Y6 + VPSRAW $0x0f, Y3, Y7 + VPAND Y4, Y9, Y4 + VPAND Y5, Y9, Y5 + VPAND Y6, Y9, Y6 + VPAND Y7, Y9, Y7 + VPADDW Y0, Y4, Y0 + VPADDW Y1, Y5, Y1 + VPADDW Y2, Y6, Y2 + VPADDW Y3, Y7, Y3 + VMOVDQU Y0, 256(AX) + VMOVDQU Y1, 288(AX) + VMOVDQU Y2, 320(AX) + VMOVDQU Y3, 352(AX) + VMOVDQU 384(AX), Y0 + VMOVDQU 416(AX), Y1 + VMOVDQU 448(AX), Y2 + VMOVDQU 480(AX), Y3 + VPMULHW Y8, Y0, Y4 + VPMULHW Y8, Y1, Y5 + VPMULHW Y8, Y2, Y6 + VPMULHW Y8, Y3, Y7 + VPSRAW $0x0a, Y4, Y4 + VPSRAW $0x0a, Y5, Y5 + VPSRAW $0x0a, Y6, Y6 + VPSRAW $0x0a, Y7, Y7 + VPMULLW Y9, Y4, Y4 + VPMULLW Y9, Y5, Y5 + VPMULLW Y9, Y6, Y6 + VPMULLW Y9, Y7, Y7 + VPSUBW Y4, Y0, Y0 + VPSUBW Y5, Y1, Y1 + VPSUBW Y6, Y2, Y2 + VPSUBW Y7, Y3, Y3 + VPSUBW Y9, Y0, Y0 + VPSUBW Y9, Y1, Y1 + VPSUBW Y9, Y2, Y2 + VPSUBW Y9, Y3, Y3 + VPSRAW $0x0f, Y0, Y4 + VPSRAW $0x0f, Y1, Y5 + VPSRAW $0x0f, Y2, Y6 + VPSRAW $0x0f, Y3, Y7 + VPAND Y4, Y9, Y4 + VPAND Y5, Y9, Y5 + VPAND Y6, Y9, Y6 + VPAND Y7, Y9, Y7 + VPADDW Y0, Y4, Y0 + VPADDW Y1, Y5, Y1 + VPADDW Y2, Y6, Y2 + VPADDW Y3, Y7, Y3 + VMOVDQU Y0, 384(AX) + VMOVDQU Y1, 416(AX) + VMOVDQU Y2, 448(AX) + VMOVDQU Y3, 480(AX) + RET diff --git a/src/circl/pke/kyber/internal/common/field.go b/src/circl/pke/kyber/internal/common/field.go index 1fa23cb8369..33744dff73f 100644 --- a/src/circl/pke/kyber/internal/common/field.go +++ b/src/circl/pke/kyber/internal/common/field.go @@ -1,6 +1,6 @@ package common -// Given 2¹⁵ q ≤ x < 2¹⁵ q, returns -q < y < q with x 2⁻¹⁶ = y (mod q). +// Given -2¹⁵ q ≤ x < 2¹⁵ q, returns -q < y < q with x 2⁻¹⁶ = y (mod q). func montReduce(x int32) int16 { // This is Montgomery reduction with R=2¹⁶. // @@ -31,11 +31,11 @@ func montReduce(x int32) int16 { return int16(uint32(x-int32(m)*int32(Q)) >> 16) } -// Given any x, returns x R mod q where R=2^{16}. +// Given any x, returns x R mod q where R=2¹⁶. func toMont(x int16) int16 { - // Note |1353 x| ≤ 1353 2^{15} ≤ 13318 q ≤ 2^15 q and so we're within + // Note |1353 x| ≤ 1353 2¹⁵ ≤ 13318 q ≤ 2¹⁵ q and so we're within // the bounds of montReduce. - return montReduce(int32(x) * 1353) // 1353 = R^{2} mod q. + return montReduce(int32(x) * 1353) // 1353 = R² mod q. } // Given any x, compute 0 ≤ y ≤ q with x = y (mod q). diff --git a/src/circl/pke/kyber/internal/common/field_test.go b/src/circl/pke/kyber/internal/common/field_test.go index 0a1de0e9b79..db2e4ebd105 100644 --- a/src/circl/pke/kyber/internal/common/field_test.go +++ b/src/circl/pke/kyber/internal/common/field_test.go @@ -2,7 +2,7 @@ package common import ( "flag" - "math/rand" + mathRand "math/rand" "testing" ) @@ -37,7 +37,7 @@ func TestBarrettReduceFull(t *testing.T) { func TestMontReduce(t *testing.T) { for i := 0; i < 1000; i++ { - x := rand.Int31n(int32(Q)*(1<<16)) - int32(Q)*(1<<15) // nolint:gosec + x := mathRand.Int31n(int32(Q)*(1<<16)) - int32(Q)*(1<<15) y := montReduce(x) if modQ32(x) != modQ32(int32(y)*(1<<16)) { t.Fatalf("%d", x) @@ -49,7 +49,7 @@ func TestToMontFull(t *testing.T) { if !*runVeryLongTest { t.SkipNow() } - for x := -1 << 15; x < 1<<15; x++ { + for x := -(1 << 15); x < 1<<15; x++ { y := toMont(int16(x)) if modQ32(int32(y)) != modQ32(int32(x*2285)) { t.Fatalf("%d", x) diff --git a/src/circl/pke/kyber/internal/common/generic.go b/src/circl/pke/kyber/internal/common/generic.go new file mode 100644 index 00000000000..a9c85f59822 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/generic.go @@ -0,0 +1,76 @@ +// +build !amd64 + +package common + +// Sets p to a + b. Does not normalize coefficients. +func (p *Poly) Add(a, b *Poly) { + p.addGeneric(a, b) +} + +// Sets p to a - b. Does not normalize coefficients. +func (p *Poly) Sub(a, b *Poly) { + p.subGeneric(a, b) +} + +// Executes an in-place forward "NTT" on p. +// +// Assumes the coefficients are in absolute value ≤q. The resulting +// coefficients are in absolute value ≤7q. If the input is in Montgomery +// form, then the result is in Montgomery form and so (by linearity of the NTT) +// if the input is in regular form, then the result is also in regular form. +// The order of coefficients will be "tangled". These can be put back into +// their proper order by calling Detangle(). +func (p *Poly) NTT() { + p.nttGeneric() +} + +// Executes an in-place inverse "NTT" on p and multiply by the Montgomery +// factor R. +// +// Requires coefficients to be in "tangled" order, see Tangle(). +// Assumes the coefficients are in absolute value ≤q. The resulting +// coefficients are in absolute value ≤q. If the input is in Montgomery +// form, then the result is in Montgomery form and so (by linearity) +// if the input is in regular form, then the result is also in regular form. +func (p *Poly) InvNTT() { + p.invNTTGeneric() +} + +// Sets p to the "pointwise" multiplication of a and b. +// +// That is: InvNTT(p) = InvNTT(a) * InvNTT(b). Assumes a and b are in +// Montgomery form. Products between coefficients of a and b must be strictly +// bounded in absolute value by 2¹⁵q. p will be in Montgomery form and +// bounded in absolute value by 2q. +// +// Requires a and b to be in "tangled" order, see Tangle(). p will be in +// tangled order as well. +func (p *Poly) MulHat(a, b *Poly) { + p.mulHatGeneric(a, b) +} + +// Puts p into the right form to be used with (among others) InvNTT(). +func (p *Poly) Tangle() { + // In the generic implementation there is no advantage to using a + // different order, so we use the standard order everywhere. +} + +// Puts p back into standard form. +func (p *Poly) Detangle() { + // In the generic implementation there is no advantage to using a + // different order, so we use the standard order everywhere. +} + +// Almost normalizes coefficients. +// +// Ensures each coefficient is in {0, …, q}. +func (p *Poly) BarrettReduce() { + p.barrettReduceGeneric() +} + +// Normalizes coefficients. +// +// Ensures each coefficient is in {0, …, q-1}. +func (p *Poly) Normalize() { + p.normalizeGeneric() +} diff --git a/src/circl/pke/kyber/internal/common/ntt.go b/src/circl/pke/kyber/internal/common/ntt.go index 88682ff587c..b6c1f7405fd 100644 --- a/src/circl/pke/kyber/internal/common/ntt.go +++ b/src/circl/pke/kyber/internal/common/ntt.go @@ -27,13 +27,37 @@ var Zetas = [128]int16{ 2459, 478, 3221, 3021, 996, 991, 958, 1869, 1522, 1628, } +// InvNTTReductions keeps track of which coefficients to apply Barrett +// reduction to in Poly.InvNTT(). +// +// Generated in a lazily: once a butterfly is computed which is about to +// overflow the int16, the largest coefficient is reduced. If that is +// not enough, the other coefficient is reduced as well. +// +// This is actually optimal, as proven in https://eprint.iacr.org/2020/1377.pdf +var InvNTTReductions = [...]int{ + -1, // after layer 1 + -1, // after layer 2 + 16, 17, 48, 49, 80, 81, 112, 113, 144, 145, 176, 177, 208, 209, 240, + 241, -1, // after layer 3 + 0, 1, 32, 33, 34, 35, 64, 65, 96, 97, 98, 99, 128, 129, 160, 161, 162, 163, + 192, 193, 224, 225, 226, 227, -1, // after layer 4 + 2, 3, 66, 67, 68, 69, 70, 71, 130, 131, 194, 195, 196, 197, 198, + 199, -1, // after layer 5 + 4, 5, 6, 7, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, + 143, -1, // after layer 6 + -1, // after layer 7 +} + // Executes an in-place forward "NTT" on p. // // Assumes the coefficients are in absolute value ≤q. The resulting // coefficients are in absolute value ≤7q. If the input is in Montgomery // form, then the result is in Montgomery form and so (by linearity of the NTT) // if the input is in regular form, then the result is also in regular form. -func (p *Poly) NTT() { +// The order of coefficients will be "tangled". These can be put back into +// their proper order by calling Detangle(). +func (p *Poly) nttGeneric() { // Note that ℤ_q does not have a primitive 512ᵗʰ root of unity (as 512 // does not divide into q) and so we cannot do a regular NTT. ℤ_q // does have a primitive 256ᵗʰ root of unity, the smallest of which @@ -113,44 +137,56 @@ func (p *Poly) NTT() { // Executes an in-place inverse "NTT" on p and multiply by the Montgomery // factor R. // +// Requires coefficients to be in "tangled" order, see Tangle(). // Assumes the coefficients are in absolute value ≤q. The resulting // coefficients are in absolute value ≤q. If the input is in Montgomery // form, then the result is in Montgomery form and so (by linearity) // if the input is in regular form, then the result is also in regular form. -func (p *Poly) InvNTT() { +func (p *Poly) invNTTGeneric() { k := 127 // Index into Zetas + r := -1 // Index into InvNTTReductions. // We basically do the oppposite of NTT, but postpone dividing by 2 in the // inverse of the Cooley-Tukey butterfly and accumulate that into a big // division by 2⁷ at the end. See the comments in the NTT() function. for l := 2; l < N; l <<= 1 { - // At the start of the nᵗʰ iteration of this loop, the coefficients - // are bounded in absolute value by nq. - - // XXX Get rid of Barrett reduction? - for offset := 0; offset < N-l; offset += 2 * l { - // As we're inverting, we need powers of ζ⁻¹ (instead of - // ζ). To be precise, we need ζᵇʳᵛ⁽ᵏ⁾⁻¹²⁸. However, as - // ζ⁻¹²⁸ = -1, we can use the existing Zetas table instead of + // As we're inverting, we need powers of ζ⁻¹ (instead of ζ). + // To be precise, we need ζᵇʳᵛ⁽ᵏ⁾⁻¹²⁸. However, as ζ⁻¹²⁸ = -1, + // we can use the existing Zetas table instead of // keeping a separate InvZetas table as in Dilithium. - zeta := -int32(Zetas[k]) + minZeta := int32(Zetas[k]) k-- for j := offset; j < offset+l; j++ { - t := barrettReduce(p[j]) // Gentleman-Sande butterfly - p[j] = t + p[j+l] - t -= p[j+l] - p[j+l] = montReduce(zeta * int32(t)) + // Gentleman-Sande butterfly: (a, b) ↦ (a + b, ζ(a-b)) + t := p[j+l] - p[j] + p[j] += p[j+l] + p[j+l] = montReduce(minZeta * int32(t)) + + // Note that if we had |a| < αq and |b| < βq before the + // butterfly, then now we have |a| < (α+β)q and |b| < q. + } + } + + // We let the InvNTTReductions instruct us which coefficients to + // Barrett reduce. See TestInvNTTReductions, which tests whether + // there is an overflow. + for { + r++ + i := InvNTTReductions[r] + if i < 0 { + break } + p[i] = barrettReduce(p[i]) } } for j := 0; j < N; j++ { - // Note 1441 = (128)⁻¹ R². The coefficients are bounded by 7q, so - // as 1441 * 7 ≈ 2⁹ < 2¹⁵, we're within the required bounds + // Note 1441 = (128)⁻¹ R². The coefficients are bounded by 9q, so + // as 1441 * 9 ≈ 2¹⁴ < 2¹⁵, we're within the required bounds // for montReduce(). p[j] = montReduce(1441 * int32(p[j])) } diff --git a/src/circl/pke/kyber/internal/common/ntt_test.go b/src/circl/pke/kyber/internal/common/ntt_test.go index 9af818a7369..10ad08dbf56 100644 --- a/src/circl/pke/kyber/internal/common/ntt_test.go +++ b/src/circl/pke/kyber/internal/common/ntt_test.go @@ -1,7 +1,7 @@ package common import ( - "math/rand" + mathRand "math/rand" "testing" ) @@ -12,6 +12,13 @@ func BenchmarkNTT(b *testing.B) { } } +func BenchmarkNTTGeneric(b *testing.B) { + var a Poly + for i := 0; i < b.N; i++ { + a.nttGeneric() + } +} + func BenchmarkInvNTT(b *testing.B) { var a Poly for i := 0; i < b.N; i++ { @@ -19,15 +26,56 @@ func BenchmarkInvNTT(b *testing.B) { } } +func BenchmarkInvNTTGeneric(b *testing.B) { + var a Poly + for i := 0; i < b.N; i++ { + a.invNTTGeneric() + } +} + func (p *Poly) Rand() { for i := 0; i < N; i++ { - p[i] = int16(rand.Intn(int(Q))) // nolint:gosec + p[i] = int16(mathRand.Intn(int(Q))) } } func (p *Poly) RandAbsLeQ() { for i := 0; i < N; i++ { - p[i] = int16(rand.Intn(int(2*Q))) - Q // nolint:gosec + p[i] = int16(mathRand.Intn(int(2*Q))) - Q + } +} + +func TestNTTAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p, q1, q2 Poly + p.RandAbsLeQ() + q1 = p + q2 = p + q1.NTT() + q1.Detangle() + q2.nttGeneric() + if q1 != q2 { + t.Fatalf("NTT(%v) = \n%v \n!= %v", p, q2, q1) + } + } +} + +func TestInvNTTAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p, q1, q2 Poly + p.RandAbsLeQ() + q1 = p + q2 = p + q1.Tangle() + q1.InvNTT() + q2.invNTTGeneric() + + q1.Normalize() + q2.Normalize() + + if q1 != q2 { + t.Fatalf("InvNTT(%v) = \n%v \n!= %v", p, q2, q1) + } } } @@ -58,3 +106,37 @@ func TestNTT(t *testing.T) { } } } + +func TestInvNTTReductions(t *testing.T) { + // Simulates bounds on coefficients in InvNTT. + + xs := [256]int{} + for i := 0; i < 256; i++ { + xs[i] = 1 + } + + r := -1 + for layer := 1; layer < 8; layer++ { + w := 1 << uint(layer) + i := 0 + for i+w < 256 { + xs[i] = xs[i] + xs[i+w] + if xs[i] > 9 { + t.Fatal() + } + xs[i+w] = 1 + i++ + if i%w == 0 { + i += w + } + } + for { + r++ + i := InvNTTReductions[r] + if i < 0 { + break + } + xs[i] = 1 + } + } +} diff --git a/src/circl/pke/kyber/internal/common/params.go b/src/circl/pke/kyber/internal/common/params.go index 536fe7ffc79..8e2bc85e1ec 100644 --- a/src/circl/pke/kyber/internal/common/params.go +++ b/src/circl/pke/kyber/internal/common/params.go @@ -1,15 +1,22 @@ package common +import ( + "circl/pke/kyber/internal/common/params" +) + const ( // Q is the parameter q ≡ 3329 = 2¹¹ + 2¹⁰ + 2⁸ + 1. - Q int16 = 3329 + Q = params.Q // N is the parameter N: the length of the polynomials - N int = 256 + N = params.N // PolySize is the size of a packed polynomial. - PolySize int = 384 + PolySize = params.PolySize // PlaintextSize is the size of the plaintext - PlaintextSize = 32 + PlaintextSize = params.PlaintextSize + + // Eta2 is the parameter η₂ + Eta2 = params.Eta2 ) diff --git a/src/circl/pke/kyber/internal/common/params/params.go b/src/circl/pke/kyber/internal/common/params/params.go new file mode 100644 index 00000000000..f7fe31ab521 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/params/params.go @@ -0,0 +1,21 @@ +package params + +// We put these parameters in a separate package so that the Go code, +// such as asm/src.go, that generates assembler can import it. + +const ( + // Q is the parameter q ≡ 3329 = 2¹¹ + 2¹⁰ + 2⁸ + 1. + Q int16 = 3329 + + // N is the parameter N: the length of the polynomials + N int = 256 + + // PolySize is the size of a packed polynomial. + PolySize int = 384 + + // PlaintextSize is the size of the plaintext + PlaintextSize = 32 + + // Eta2 is the parameter η₂ + Eta2 = 2 +) diff --git a/src/circl/pke/kyber/internal/common/poly.go b/src/circl/pke/kyber/internal/common/poly.go index 1c2d5218002..f6842152bbd 100644 --- a/src/circl/pke/kyber/internal/common/poly.go +++ b/src/circl/pke/kyber/internal/common/poly.go @@ -3,18 +3,21 @@ package common // An element of our base ring R which are polynomials over ℤ_q // modulo the equation Xᴺ = -1, where q=3329 and N=256. // +// This type is also used to store NTT-transformed polynomials, +// see Poly.NTT(). +// // Coefficients aren't always reduced. See Normalize(). type Poly [N]int16 // Sets p to a + b. Does not normalize coefficients. -func (p *Poly) Add(a, b *Poly) { +func (p *Poly) addGeneric(a, b *Poly) { for i := 0; i < N; i++ { p[i] = a[i] + b[i] } } // Sets p to a - b. Does not normalize coefficients. -func (p *Poly) Sub(a, b *Poly) { +func (p *Poly) subGeneric(a, b *Poly) { for i := 0; i < N; i++ { p[i] = a[i] - b[i] } @@ -23,7 +26,7 @@ func (p *Poly) Sub(a, b *Poly) { // Almost normalizes coefficients. // // Ensures each coefficient is in {0, …, q}. -func (p *Poly) BarrettReduce() { +func (p *Poly) barrettReduceGeneric() { for i := 0; i < N; i++ { p[i] = barrettReduce(p[i]) } @@ -32,7 +35,7 @@ func (p *Poly) BarrettReduce() { // Normalizes coefficients. // // Ensures each coefficient is in {0, …, q-1}. -func (p *Poly) Normalize() { +func (p *Poly) normalizeGeneric() { for i := 0; i < N; i++ { p[i] = csubq(barrettReduce(p[i])) } @@ -53,8 +56,11 @@ func (p *Poly) ToMont() { // That is: InvNTT(p) = InvNTT(a) * InvNTT(b). Assumes a and b are in // Montgomery form. Products between coefficients of a and b must be strictly // bounded in absolute value by 2¹⁵q. p will be in Montgomery form and -// bounded in absolute value by q. -func (p *Poly) MulHat(a, b *Poly) { +// bounded in absolute value by 2q. +// +// Requires a and b to be in "tangled" order, see Tangle(). p will be in +// tangled order as well. +func (p *Poly) mulHatGeneric(a, b *Poly) { // Recall from the discussion in NTT(), that a transformed polynomial is // an element of ℤ_q[x]/(x²-ζ) x … x ℤ_q[x]/(x²+ζ¹²⁷); // that is: 128 degree-one polynomials instead of simply 256 elements @@ -62,7 +68,7 @@ func (p *Poly) MulHat(a, b *Poly) { // we multiply the 128 pairs of degree-one polynomials modulo the // right equation: // - // (a₁ + a_2x)(b₁ + b_2x) = a_1b_1 + a_2b_2ζ' + (a_1b_2 + a_2b_1)x, + // (a₁ + a₂x)(b₁ + b₂x) = a₁b₁ + a₂b₂ζ' + (a₁b₂ + a₂b₁)x, // // where ζ' is the appropriate power of ζ. @@ -82,7 +88,7 @@ func (p *Poly) MulHat(a, b *Poly) { p[i+1] = p1 p2 := montReduce(int32(a[i+3]) * int32(b[i+3])) - p2 = montReduce(-int32(p2) * zeta) + p2 = -montReduce(int32(p2) * zeta) p2 += montReduce(int32(a[i+2]) * int32(b[i+2])) p3 := montReduce(int32(a[i+2]) * int32(b[i+3])) @@ -95,18 +101,23 @@ func (p *Poly) MulHat(a, b *Poly) { // Packs p into buf. buf should be of length PolySize. // -// Assumes p is normalized (and not just Barrett reduced.) +// Assumes p is normalized (and not just Barrett reduced) and "tangled", +// see Tangle(). func (p *Poly) Pack(buf []byte) { + q := *p + q.Detangle() for i := 0; i < 128; i++ { - t0 := p[2*i] - t1 := p[2*i+1] + t0 := q[2*i] + t1 := q[2*i+1] buf[3*i] = byte(t0) buf[3*i+1] = byte(t0>>8) | byte(t1<<4) buf[3*i+2] = byte(t1 >> 4) } } -// Unpacks p from buf. buf should be of length PolySize. +// Unpacks p from buf. +// +// buf should be of length PolySize. p will be "tangled", see Detangle(). // // p will not be normalized; instead 0 ≤ p[i] < 4096. func (p *Poly) Unpack(buf []byte) { @@ -114,6 +125,7 @@ func (p *Poly) Unpack(buf []byte) { p[2*i] = int16(buf[3*i]) | ((int16(buf[3*i+1]) << 8) & 0xfff) p[2*i+1] = int16(buf[3*i+1]>>4) | (int16(buf[3*i+2]) << 4) } + p.Tangle() } // Set p to Decompress_q(m, 1). @@ -161,26 +173,6 @@ func (p *Poly) Decompress(m []byte, d int) { // = ⌊(qx + 2ᵈ⁻¹)/2ᵈ⌋ // = (qx + (1<<(d-1))) >> d switch d { - case 3: - var t [8]uint16 - idx := 0 - for i := 0; i < N/8; i++ { - t[0] = uint16(m[idx]) - t[1] = uint16(m[idx]) >> 3 - t[2] = (uint16(m[idx]) >> 6) | (uint16(m[idx+1]) << 2) - t[3] = (uint16(m[idx+1]) >> 1) - t[4] = (uint16(m[idx+1]) >> 4) - t[5] = (uint16(m[idx+1]) >> 7) | (uint16(m[idx+2] << 1)) - t[6] = uint16(m[idx+2]) >> 2 - t[7] = uint16(m[idx+2]) >> 5 - - for j := 0; j < 8; j++ { - p[8*i+j] = int16(((1 << 2) + - uint32(t[j]&((1<<3)-1))*uint32(Q)) >> 3) - } - - idx += 3 - } case 4: for i := 0; i < N/2; i++ { p[2*i] = int16(((1 << 3) + @@ -259,19 +251,6 @@ func (p *Poly) CompressTo(m []byte, d int) { // = ⌊((x << d) + q/2) / q⌋ mod⁺ 2ᵈ // = DIV((x << d) + q/2, q) & ((1<>2) | byte(t[3]<<1) | byte(t[4]<<4) | byte(t[5]<<7) - m[idx+2] = byte(t[5]>>1) | byte(t[6]<<2) | byte(t[7]<<5) - idx += 3 - } case 4: var t [8]uint16 idx := 0 diff --git a/src/circl/pke/kyber/internal/common/poly_test.go b/src/circl/pke/kyber/internal/common/poly_test.go index df9a22f711c..3bc56f96496 100644 --- a/src/circl/pke/kyber/internal/common/poly_test.go +++ b/src/circl/pke/kyber/internal/common/poly_test.go @@ -1,11 +1,18 @@ package common import ( - "crypto/rand" + cryptoRand "crypto/rand" "fmt" + mathRand "math/rand" "testing" ) +func (p *Poly) RandAbsLe9Q() { + for i := 0; i < N; i++ { + p[i] = int16(mathRand.Intn(18*int(Q) - 9*int(Q))) + } +} + // Returns x mod^± q func sModQ(x int16) int16 { x = x % Q @@ -15,18 +22,11 @@ func sModQ(x int16) int16 { return x } -func BenchmarkMulhat(b *testing.B) { - var a Poly - for i := 0; i < b.N; i++ { - a.MulHat(&a, &a) - } -} - func TestDecompressMessage(t *testing.T) { var m, m2 [PlaintextSize]byte var p Poly for i := 0; i < 1000; i++ { - _, _ = rand.Read(m[:]) + _, _ = cryptoRand.Read(m[:]) p.DecompressMessage(m[:]) p.CompressMessageTo(m2[:]) if m != m2 { @@ -36,7 +36,7 @@ func TestDecompressMessage(t *testing.T) { } func TestCompress(t *testing.T) { - for _, d := range []int{3, 4, 5, 10, 11} { + for _, d := range []int{4, 5, 10, 11} { d := d t.Run(fmt.Sprintf("d=%d", d), func(t *testing.T) { var p, q Poly @@ -95,6 +95,7 @@ func TestMulHat(t *testing.T) { ah.NTT() bh.NTT() ph.MulHat(&ah, &bh) + ph.BarrettReduce() ph.InvNTT() for i := 0; i < N; i++ { @@ -124,3 +125,145 @@ func TestMulHat(t *testing.T) { } } } + +func TestAddAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a, b Poly + a.RandAbsLeQ() + b.RandAbsLeQ() + p1.Add(&a, &b) + p2.addGeneric(&a, &b) + if p1 != p2 { + t.Fatalf("Add(%v, %v) = \n%v \n!= %v", a, b, p1, p2) + } + } +} + +func BenchmarkAdd(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.Add(&p, &p) + } +} + +func BenchmarkAddGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.addGeneric(&p, &p) + } +} + +func TestSubAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a, b Poly + a.RandAbsLeQ() + b.RandAbsLeQ() + p1.Sub(&a, &b) + p2.subGeneric(&a, &b) + if p1 != p2 { + t.Fatalf("Sub(%v, %v) = \n%v \n!= %v", a, b, p1, p2) + } + } +} + +func BenchmarkSub(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.Sub(&p, &p) + } +} + +func BenchmarkSubGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.subGeneric(&p, &p) + } +} + +func TestMulHatAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a, b Poly + a.RandAbsLeQ() + b.RandAbsLeQ() + a2 := a + b2 := b + a2.Tangle() + b2.Tangle() + p1.MulHat(&a2, &b2) + p1.Detangle() + p2.mulHatGeneric(&a, &b) + if p1 != p2 { + t.Fatalf("MulHat(%v, %v) = \n%v \n!= %v", a, b, p1, p2) + } + } +} + +func BenchmarkMulHat(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.MulHat(&p, &p) + } +} + +func BenchmarkMulHatGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.mulHatGeneric(&p, &p) + } +} + +func BenchmarkBarrettReduce(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.BarrettReduce() + } +} + +func BenchmarkBarrettReduceGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.barrettReduceGeneric() + } +} + +func TestBarrettReduceAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a Poly + a.RandAbsLe9Q() + p1 = a + p2 = a + p1.BarrettReduce() + p2.barrettReduceGeneric() + if p1 != p2 { + t.Fatalf("BarrettReduce(%v) = \n%v \n!= %v", a, p1, p2) + } + } +} + +func BenchmarkNormalize(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.Normalize() + } +} + +func BenchmarkNormalizeGeneric(b *testing.B) { + var p Poly + for i := 0; i < b.N; i++ { + p.barrettReduceGeneric() + } +} + +func TestNormalizeAgainstGeneric(t *testing.T) { + for k := 0; k < 1000; k++ { + var p1, p2, a Poly + a.RandAbsLe9Q() + p1 = a + p2 = a + p1.Normalize() + p2.normalizeGeneric() + if p1 != p2 { + t.Fatalf("Normalize(%v) = \n%v \n!= %v", a, p1, p2) + } + } +} diff --git a/src/circl/pke/kyber/internal/common/sample.go b/src/circl/pke/kyber/internal/common/sample.go index c727c03bab4..97eb282dcf2 100644 --- a/src/circl/pke/kyber/internal/common/sample.go +++ b/src/circl/pke/kyber/internal/common/sample.go @@ -1,17 +1,72 @@ package common import ( - "circl/internal/shake" + "circl/internal/sha3" + "circl/simd/keccakf1600" "encoding/binary" ) +// DeriveX4Available indicates whether the system supports the quick fourway +// sampling variants like PolyDeriveUniformX4. +var DeriveX4Available = keccakf1600.IsEnabledX4() + +// Samples p from a centered binomial distribution with given η. +// +// Essentially CBD_η(PRF(seed, nonce)) from the specification. +func (p *Poly) DeriveNoise(seed []byte, nonce uint8, eta int) { + switch eta { + case 2: + p.DeriveNoise2(seed, nonce) + case 3: + p.DeriveNoise3(seed, nonce) + default: + panic("unsupported eta") + } +} + +// Sample p from a centered binomial distribution with n=6 and p=½ - that is: +// coefficients are in {-3, -2, -1, 0, 1, 2, 3} with probabilities {1/64, 3/32, +// 15/64, 5/16, 16/64, 3/32, 1/64}. +func (p *Poly) DeriveNoise3(seed []byte, nonce uint8) { + keySuffix := [1]byte{nonce} + h := sha3.NewShake256() + _, _ = h.Write(seed[:]) + _, _ = h.Write(keySuffix[:]) + + // The distribution at hand is exactly the same as that + // of (a₁ + a₂ + a₃) - (b₁ + b₂+b₃) where a_i,b_i~U(1). Thus we need + // 6 bits per coefficients, thus 192 bytes of input entropy. + + // We add two extra zero bytes in the buffer to be able to read 8 bytes + // at the same time (while using only 6.) + var buf [192 + 2]byte + _, _ = h.Read(buf[:192]) + + for i := 0; i < 32; i++ { + // t is interpreted as a₁ + 2a₂ + 4a₃ + 8b₁ + 16b₂ + …. + t := binary.LittleEndian.Uint64(buf[6*i:]) + + d := t & 0x249249249249 // a₁ + 8b₁ + … + d += (t >> 1) & 0x249249249249 // a₁ + a₂ + 8(b₁ + b₂) + … + d += (t >> 2) & 0x249249249249 // a₁ + a₂ + a₃ + 4(b₁ + b₂ + b₃) + … + + for j := 0; j < 8; j++ { + a := int16(d) & 0x7 // a₁ + a₂ + a₃ + d >>= 3 + b := int16(d) & 0x7 // b₁ + b₂ + b₃ + d >>= 3 + p[8*i+j] = a - b + } + } +} + // Sample p from a centered binomial distribution with n=4 and p=½ - that is: // coefficients are in {-2, -1, 0, 1, 2} with probabilities {1/16, 1/4, // 3/8, 1/4, 1/16}. -func (p *Poly) DeriveNoise(seed []byte, nonce uint8) { +func (p *Poly) DeriveNoise2(seed []byte, nonce uint8) { keySuffix := [1]byte{nonce} - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(keySuffix[:]) @@ -22,25 +77,118 @@ func (p *Poly) DeriveNoise(seed []byte, nonce uint8) { var buf [128]byte _, _ = h.Read(buf[:]) - // XXX 64 bits at a time? - for i := 0; i < 32; i++ { - // Byte is interpreted as a + 2a' + 4b + 8b' + \ldots. - t := binary.LittleEndian.Uint32(buf[4*i:]) + for i := 0; i < 16; i++ { + // t is interpreted as a + 2a' + 4b + 8b' + …. + t := binary.LittleEndian.Uint64(buf[8*i:]) - d := t & 0x55555555 // a + 4b + \ldots - d += (t >> 1) & 0x55555555 // a+a' + 4(b + b') + \ldots + d := t & 0x5555555555555555 // a + 4b + … + d += (t >> 1) & 0x5555555555555555 // a+a' + 4(b + b') + … - for j := 0; j < 8; j++ { - a := int16(d>>uint(4*j)) & 0x3 // a + a' - b := int16(d>>uint(4*j+2)) & 0x3 // b + b' - p[8*i+j] = a - b + for j := 0; j < 16; j++ { + a := int16(d) & 0x3 + d >>= 2 + b := int16(d) & 0x3 + d >>= 2 + p[16*i+j] = a - b + } + } +} + +// For each i, sample ps[i] uniformly from the given seed for coordinates +// xs[i] and ys[i]. ps[i] may be nil and is ignored in that case. +// +// Can only be called when DeriveX4Available is true. +func PolyDeriveUniformX4(ps [4]*Poly, seed *[32]byte, xs, ys [4]uint8) { + var perm keccakf1600.StateX4 + state := perm.Initialize() + + // Absorb the seed in the four states + for i := 0; i < 4; i++ { + v := binary.LittleEndian.Uint64(seed[8*i : 8*(i+1)]) + for j := 0; j < 4; j++ { + state[i*4+j] = v + } + } + + // Absorb the coordinates, the SHAKE128 domain separator (0b1111), the + // start of the padding (0b…001) and the end of the padding 0b100…. + // Recall that the rate of SHAKE128 is 168; ie. 21 uint64s. + for j := 0; j < 4; j++ { + state[4*4+j] = uint64(xs[j]) | (uint64(ys[j]) << 8) | (0x1f << 16) + state[20*4+j] = 0x80 << 56 + } + + var idx [4]int // indices into ps + for j := 0; j < 4; j++ { + if ps[j] == nil { + idx[j] = N // mark nil polynomials as completed + } + } + + done := false + for !done { + // Applies KeccaK-f[1600] to state to get the next 21 uint64s of each of + // the four SHAKE128 streams. + perm.Permute() + + done = true + + PolyLoop: + for j := 0; j < 4; j++ { + if idx[j] == N { + continue + } + for i := 0; i < 7; i++ { + var t [16]uint16 + + v1 := state[i*3*4+j] + v2 := state[(i*3+1)*4+j] + v3 := state[(i*3+2)*4+j] + + t[0] = uint16(v1) & 0xfff + t[1] = uint16(v1>>12) & 0xfff + t[2] = uint16(v1>>24) & 0xfff + t[3] = uint16(v1>>36) & 0xfff + t[4] = uint16(v1>>48) & 0xfff + t[5] = uint16((v1>>60)|(v2<<4)) & 0xfff + + t[6] = uint16(v2>>8) & 0xfff + t[7] = uint16(v2>>20) & 0xfff + t[8] = uint16(v2>>32) & 0xfff + t[9] = uint16(v2>>44) & 0xfff + t[10] = uint16((v2>>56)|(v3<<8)) & 0xfff + + t[11] = uint16(v3>>4) & 0xfff + t[12] = uint16(v3>>16) & 0xfff + t[13] = uint16(v3>>28) & 0xfff + t[14] = uint16(v3>>40) & 0xfff + t[15] = uint16(v3>>52) & 0xfff + + for k := 0; k < 16; k++ { + if t[k] < uint16(Q) { + ps[j][idx[j]] = int16(t[k]) + idx[j]++ + if idx[j] == N { + continue PolyLoop + } + } + } + } + + done = false + } + } + + for i := 0; i < 4; i++ { + if ps[i] != nil { + ps[i].Tangle() } } } // Sample p uniformly from the given seed and x and y coordinates. // -// Coefficients are not reduced, but 0 ≤ p[i] ≤ 4.5q. +// Coefficients are reduced and will be in "tangled" order. See Tangle(). func (p *Poly) DeriveUniform(seed *[32]byte, x, y uint8) { var seedSuffix [2]byte var buf [168]byte // rate of SHAKE-128 @@ -48,7 +196,7 @@ func (p *Poly) DeriveUniform(seed *[32]byte, x, y uint8) { seedSuffix[0] = x seedSuffix[1] = y - h := shake.NewShake128() + h := sha3.NewShake128() _, _ = h.Write(seed[:]) _, _ = h.Write(seedSuffix[:]) @@ -56,18 +204,26 @@ func (p *Poly) DeriveUniform(seed *[32]byte, x, y uint8) { for { _, _ = h.Read(buf[:]) - for j := 0; j < 168 && i < N; j += 2 { - t := uint16(buf[j]) | (uint16(buf[j+1]) << 8) - - // 19q is the largest multiple of q below 2¹⁶. - if t < 19*uint16(Q) { - // This is sloppy Barrett reduction: 1/2¹² is an approximation - // of 1/q, but not good enough to fully reduce modulo q. - // (See barrettReduce() for proper Barrett reduction.) - // This ensures that t ≤ 4.5q. - t -= (t >> 12) * uint16(Q) - p[i] = int16(t) + for j := 0; j < 168; j += 3 { + t1 := (uint16(buf[j]) | (uint16(buf[j+1]) << 8)) & 0xfff + t2 := (uint16(buf[j+1]>>4) | (uint16(buf[j+2]) << 4)) & 0xfff + + if t1 < uint16(Q) { + p[i] = int16(t1) i++ + + if i == N { + break + } + } + + if t2 < uint16(Q) { + p[i] = int16(t2) + i++ + + if i == N { + break + } } } @@ -75,4 +231,6 @@ func (p *Poly) DeriveUniform(seed *[32]byte, x, y uint8) { break } } + + p.Tangle() } diff --git a/src/circl/pke/kyber/internal/common/sample_test.go b/src/circl/pke/kyber/internal/common/sample_test.go index 8a6ab030151..50f351974b6 100644 --- a/src/circl/pke/kyber/internal/common/sample_test.go +++ b/src/circl/pke/kyber/internal/common/sample_test.go @@ -4,7 +4,57 @@ import ( "testing" ) -func TestPolyDeriveNoiseRef(t *testing.T) { +func BenchmarkDeriveNoise2(b *testing.B) { + var p Poly + var seed [32]byte + for i := 0; i < b.N; i++ { + p.DeriveNoise2(seed[:], 37) + } +} + +func BenchmarkDeriveNoise3(b *testing.B) { + var p Poly + var seed [32]byte + for i := 0; i < b.N; i++ { + p.DeriveNoise3(seed[:], 37) + } +} + +func TestPolyDeriveNoise3Ref(t *testing.T) { + var p Poly + + want := Poly{ + 0, 0, 1, -1, 0, 2, 0, -1, -1, 3, 0, 1, -2, -2, 0, 1, -2, + 1, 0, -2, 3, 0, 0, 0, 1, 3, 1, 1, 2, 1, -1, -1, -1, 0, 1, + 0, 1, 0, 2, 0, 1, -2, 0, -1, -1, -2, 1, -1, -1, 2, -1, 1, + 1, 2, -3, -1, -1, 0, 0, 0, 0, 1, -1, -2, -2, 0, -2, 0, 0, + 0, 1, 0, -1, -1, 1, -2, 2, 0, 0, 2, -2, 0, 1, 0, 1, 1, 1, + 0, 1, -2, -1, -2, -1, 1, 0, 0, 0, 0, 0, 1, 0, -1, -1, 0, + -1, 1, 0, 1, 0, -1, -1, 0, -2, 2, 0, -2, 1, -1, 0, 1, -1, + -1, 2, 1, 0, 0, -2, -1, 2, 0, 0, 0, -1, -1, 3, 1, 0, 1, 0, + 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, -1, -1, -1, 0, 1, 3, 1, + 0, 1, 0, 1, -1, -1, -1, -1, 0, 0, -2, -1, -1, 2, 0, 1, 0, + 1, 0, 2, -2, 0, 1, 1, -3, -1, -2, -1, 0, 1, 0, 1, -2, 2, + 2, 1, 1, 0, -1, 0, -1, -1, 1, 0, -1, 2, 1, -1, 1, 2, -2, + 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, -1, -1, + 1, -1, 0, 1, -1, 2, 2, 0, 0, -1, 1, 1, 1, 1, 0, 0, -2, 0, + -1, 1, 2, 0, 0, 1, 1, -1, 1, 0, 1, + } + + var seed [32]byte + + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + + p.DeriveNoise3(seed[:], 37) + + if p != want { + t.Fatal() + } +} + +func TestPolyDeriveNoise2Ref(t *testing.T) { var p Poly want := Poly{ @@ -33,7 +83,7 @@ func TestPolyDeriveNoiseRef(t *testing.T) { seed[i] = byte(i) } - p.DeriveNoise(seed[:], 37) + p.DeriveNoise2(seed[:], 37) if p != want { t.Fatal() @@ -45,35 +95,31 @@ func TestPolyDeriveUniformRef(t *testing.T) { // Generated by reference implementation. want := Poly{ - 1564, 1330, 2158, 6, 925, 2968, 2602, 2716, 134, - 3054, 2194, 158, 1728, 1632, 2471, 3230, 1722, 3194, - 2139, 1143, 3319, 2146, 330, 1033, 1726, 580, 129, - 836, 2955, 3196, 1055, 1063, 2058, 736, 2458, 2912, - 2368, 1877, 1086, 1758, 3236, 2329, 2143, 1050, - 2703, 3235, 31, 2806, 1322, 2842, 3060, 1298, 1868, - 2633, 1863, 1346, 3269, 84, 740, 774, 2157, 2016, - 1105, 66, 412, 2358, 2852, 560, 407, 1336, 1911, - 2611, 1147, 1535, 595, 1334, 2397, 2919, 2893, 2228, - 915, 2171, 322, 475, 855, 1281, 1051, 2102, 279, - 357, 3317, 3175, 2663, 1783, 3219, 2220, 167, 2055, - 1161, 3087, 2709, 375, 2104, 585, 2881, 1891, 684, - 2929, 2991, 636, 1826, 1666, 593, 2912, 3173, 3111, - 119, 1269, 2552, 62, 1056, 1977, 2225, 2942, 1070, - 1668, 2730, 2396, 52, 2499, 1413, 273, 2170, 2107, - 1422, 2774, 186, 2573, 3252, 1412, 1263, 3160, 163, - 2849, 236, 459, 2772, 1128, 2775, 3267, 1755, 3209, - 2331, 2041, 271, 647, 1381, 3313, 174, 1377, 1960, - 1597, 1776, 751, 2034, 1912, 795, 2124, 730, 1642, - 1142, 520, 2659, 2797, 1314, 1187, 2914, 1998, 797, - 366, 2362, 1732, 742, 3132, 2950, 899, 794, 1554, - 2036, 1032, 1229, 484, 3069, 1344, 74, 2283, 1722, - 1365, 1724, 1957, 1140, 2038, 392, 1666, 3217, 392, - 2872, 605, 628, 439, 3268, 605, 3299, 2478, 2069, - 1387, 1680, 149, 2890, 368, 280, 2363, 585, 3312, - 2289, 2979, 589, 1418, 2371, 296, 1833, 1506, 931, - 2986, 101, 1797, 2176, 397, 1623, 2691, 1883, 474, - 1923, 1063, 2749, 1633, 2740, 3159, 1541, 1825, - 2546, 2504, 2368, 394, 2225, 2296, + 797, 993, 161, 6, 2608, 2385, 2096, 2661, 1676, 247, 2440, + 342, 634, 194, 1570, 2848, 986, 684, 3148, 3208, 2018, 351, + 2288, 612, 1394, 170, 1521, 3119, 58, 596, 2093, 1549, 409, + 2156, 1934, 1730, 1324, 388, 446, 418, 1719, 2202, 1812, + 98, 1019, 2369, 214, 2699, 28, 1523, 2824, 273, 402, 2899, + 246, 210, 1288, 863, 2708, 177, 3076, 349, 44, 949, 854, + 1371, 957, 292, 2502, 1617, 1501, 254, 7, 1761, 2581, 2206, + 2655, 1211, 629, 1274, 2358, 816, 2766, 2115, 2985, 1006, + 2433, 856, 2596, 3192, 1, 1378, 2345, 707, 1891, 1669, 536, + 1221, 710, 2511, 120, 1176, 322, 1897, 2309, 595, 2950, + 1171, 801, 1848, 695, 2912, 1396, 1931, 1775, 2904, 893, + 2507, 1810, 2873, 253, 1529, 1047, 2615, 1687, 831, 1414, + 965, 3169, 1887, 753, 3246, 1937, 115, 2953, 586, 545, 1621, + 1667, 3187, 1654, 1988, 1857, 512, 1239, 1219, 898, 3106, + 391, 1331, 2228, 3169, 586, 2412, 845, 768, 156, 662, 478, + 1693, 2632, 573, 2434, 1671, 173, 969, 364, 1663, 2701, + 2169, 813, 1000, 1471, 720, 2431, 2530, 3161, 733, 1691, + 527, 2634, 335, 26, 2377, 1707, 767, 3020, 950, 502, 426, + 1138, 3208, 2607, 2389, 44, 1358, 1392, 2334, 875, 2097, + 173, 1697, 2578, 942, 1817, 974, 1165, 2853, 1958, 2973, + 3282, 271, 1236, 1677, 2230, 673, 1554, 96, 242, 1729, 2518, + 1884, 2272, 71, 1382, 924, 1807, 1610, 456, 1148, 2479, + 2152, 238, 2208, 2329, 713, 1175, 1196, 757, 1078, 3190, + 3169, 708, 3117, 154, 1751, 3225, 1364, 154, 23, 2842, 1105, + 1419, 79, 5, 2013, } var seed [32]byte @@ -83,9 +129,63 @@ func TestPolyDeriveUniformRef(t *testing.T) { } p.DeriveUniform(&seed, 1, 0) + p.Detangle() p.Normalize() if p != want { - t.Fatal() + t.Fatalf("%v\n%v", p, want) + } +} + +func BenchmarkPolyDeriveUniform(b *testing.B) { + var p Poly + var seed [32]byte + for i := 0; i < b.N; i++ { + p.DeriveUniform(&seed, 0, 0) + } +} + +func BenchmarkPolyDeriveUniformX4(b *testing.B) { + if !DeriveX4Available { + b.SkipNow() + } + + var p [4]Poly + var seed [32]byte + for i := 0; i < b.N; i++ { + PolyDeriveUniformX4( + [4]*Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, + [4]uint8{0, 1, 2, 3}, + [4]uint8{4, 5, 6, 7}, + ) + } +} + +func TestPolyDeriveUniformX4(t *testing.T) { + if !DeriveX4Available { + t.SkipNow() + } + + var p2 Poly + var p [4]Poly + var seed [32]byte + + for i := 0; i < 32; i++ { + seed[i] = byte(i) + } + + PolyDeriveUniformX4( + [4]*Poly{&p[0], &p[1], &p[2], &p[3]}, + &seed, + [4]uint8{0, 1, 2, 3}, + [4]uint8{4, 5, 6, 7}, + ) + + for i := 0; i < 4; i++ { + p2.DeriveUniform(&seed, uint8(i), uint8(i+4)) + if p2 != p[i] { + t.Fatalf("%d\n%v\n%v", i, p2, p[i]) + } } } diff --git a/src/circl/pke/kyber/internal/common/stubs_amd64.go b/src/circl/pke/kyber/internal/common/stubs_amd64.go new file mode 100644 index 00000000000..0dfec393063 --- /dev/null +++ b/src/circl/pke/kyber/internal/common/stubs_amd64.go @@ -0,0 +1,32 @@ +// Code generated by command: go run src.go -out ../amd64.s -stubs ../stubs_amd64.go -pkg common. DO NOT EDIT. + +// +build amd64 + +package common + +//go:noescape +func addAVX2(p *[256]int16, a *[256]int16, b *[256]int16) + +//go:noescape +func subAVX2(p *[256]int16, a *[256]int16, b *[256]int16) + +//go:noescape +func nttAVX2(p *[256]int16) + +//go:noescape +func invNttAVX2(p *[256]int16) + +//go:noescape +func mulHatAVX2(p *[256]int16, a *[256]int16, b *[256]int16) + +//go:noescape +func detangleAVX2(p *[256]int16) + +//go:noescape +func tangleAVX2(p *[256]int16) + +//go:noescape +func barrettReduceAVX2(p *[256]int16) + +//go:noescape +func normalizeAVX2(p *[256]int16) diff --git a/src/circl/pke/kyber/kyber.go b/src/circl/pke/kyber/kyber.go index ab1799c3e1f..fb4d88a2b4d 100644 --- a/src/circl/pke/kyber/kyber.go +++ b/src/circl/pke/kyber/kyber.go @@ -1,9 +1,9 @@ //go:generate go run gen.go // Package kyber implements the CRYSTALS-Kyber.CPAPKE public key encrpyption -// as submitted to round 2 of the NIST PQC competition and described in +// as submitted to round 3 of the NIST PQC competition and described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf // // The related key encapsulation mechanism (KEM) CRYSTALS-Kyber.CCAKEM can // be found in the package circl/kem/kyber. diff --git a/src/circl/pke/kyber/kyber1024/internal/cpapke.go b/src/circl/pke/kyber/kyber1024/internal/cpapke.go index 0765c948d49..89642b17de4 100644 --- a/src/circl/pke/kyber/kyber1024/internal/cpapke.go +++ b/src/circl/pke/kyber/kyber1024/internal/cpapke.go @@ -3,8 +3,7 @@ package internal import ( - "golang.org/x/crypto/sha3" - + "circl/internal/sha3" "circl/pke/kyber/internal/common" ) @@ -67,11 +66,11 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { pk.aT.Derive(&pk.rho, false) // Expand ρ to matrix A; we'll transpose later var eh Vec - sk.sh.DeriveNoise(sigma, 0) // Sample secret vector s + sk.sh.DeriveNoise(sigma, 0, Eta1) // Sample secret vector s sk.sh.NTT() sk.sh.Normalize() - eh.DeriveNoise(sigma, K) // Sample blind e + eh.DeriveNoise(sigma, K, Eta1) // Sample blind e eh.NTT() // Next, we compute t = A s + e. @@ -106,6 +105,7 @@ func (sk *PrivateKey) DecryptTo(pt, ct []byte) { // Compute m = v - u.NTT() PolyDotHat(&m, &sk.sh, &u) + m.BarrettReduce() m.InvNTT() m.Sub(&v, &m) m.Normalize() @@ -124,12 +124,12 @@ func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { var e2, v, m common.Poly // Sample r, e₁ and e₂ from B_η - rh.DeriveNoise(seed, 0) + rh.DeriveNoise(seed, 0, Eta1) rh.NTT() rh.BarrettReduce() - e1.DeriveNoise(seed, K) - e2.DeriveNoise(seed, 2*K) + e1.DeriveNoise(seed, K, common.Eta2) + e2.DeriveNoise(seed, 2*K, common.Eta2) // Next we compute u = Aᵀ r + e₁. First Aᵀ. for i := 0; i < K; i++ { @@ -139,8 +139,6 @@ func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { PolyDotHat(&u[i], &pk.aT[i], &rh) } - // XXX InvNTT actually works with inputs only bounded by ~3q so we might - // be able to remove this reduction for some K. u.BarrettReduce() // Aᵀ and r were not in Montgomery form, so the Montgomery diff --git a/src/circl/pke/kyber/kyber1024/internal/cpapke_test.go b/src/circl/pke/kyber/kyber1024/internal/cpapke_test.go index dcc62531675..2d5552397c1 100644 --- a/src/circl/pke/kyber/kyber1024/internal/cpapke_test.go +++ b/src/circl/pke/kyber/kyber1024/internal/cpapke_test.go @@ -4,17 +4,9 @@ package internal import ( "crypto/rand" - "encoding/hex" "testing" - - "golang.org/x/crypto/sha3" ) -func hexHash(in []byte) string { - h := sha3.Sum256(in) - return hex.EncodeToString(h[:8]) -} - func TestEncryptThenDecrypt(t *testing.T) { var seed [32]byte var coin [SeedSize]byte diff --git a/src/circl/pke/kyber/kyber1024/internal/mat.go b/src/circl/pke/kyber/kyber1024/internal/mat.go index 8f5e5497736..cc1decfd58e 100644 --- a/src/circl/pke/kyber/kyber1024/internal/mat.go +++ b/src/circl/pke/kyber/kyber1024/internal/mat.go @@ -2,23 +2,74 @@ package internal +import ( + "circl/pke/kyber/internal/common" +) + // A k by k matrix of polynomials. type Mat [K]Vec // Expands the given seed to the corresponding matrix A or its transpose Aᵀ. func (m *Mat) Derive(seed *[32]byte, transpose bool) { - if transpose { - for i := 0; i < K; i++ { - for j := 0; j < K; j++ { - m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + if !common.DeriveX4Available { + if transpose { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + } + } + } else { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + } } } - } else { - for i := 0; i < K; i++ { - for j := 0; j < K; j++ { - m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + return + } + + var ps [4]*common.Poly + var xs [4]uint8 + var ys [4]uint8 + x := uint8(0) + y := uint8(0) + + for x != K { + idx := 0 + for ; idx < 4; idx++ { + ps[idx] = &m[x][y] + + if transpose { + xs[idx] = x + ys[idx] = y + } else { + xs[idx] = y + ys[idx] = x + } + + y++ + if y == K { + x++ + y = 0 + + if x == K { + if idx == 0 { + // If there is just one left, then a plain DeriveUniform + // is quicker than the X4 variant. + ps[0].DeriveUniform(seed, xs[0], ys[0]) + return + } + + for idx++; idx < 4; idx++ { + ps[idx] = nil + } + + break + } } } + + common.PolyDeriveUniformX4(ps, seed, xs, ys) } } diff --git a/src/circl/pke/kyber/kyber1024/internal/params.go b/src/circl/pke/kyber/kyber1024/internal/params.go index b1eed622e39..1664adf1e98 100644 --- a/src/circl/pke/kyber/kyber1024/internal/params.go +++ b/src/circl/pke/kyber/kyber1024/internal/params.go @@ -8,6 +8,7 @@ import ( const ( K = 4 + Eta1 = 2 DU = 11 DV = 5 PublicKeySize = 32 + K*common.PolySize diff --git a/src/circl/pke/kyber/kyber1024/internal/params_test.go b/src/circl/pke/kyber/kyber1024/internal/params_test.go deleted file mode 100644 index dfa81676c68..00000000000 --- a/src/circl/pke/kyber/kyber1024/internal/params_test.go +++ /dev/null @@ -1,25 +0,0 @@ -package internal - -import ( - "testing" -) - -func TestNewKeyFromSeed(t *testing.T) { - var seed [32]byte - var ppk [PublicKeySize]byte - var psk [PrivateKeySize]byte - - for i := 0; i < 32; i++ { - seed[i] = uint8(i) - } - pk, sk := NewKeyFromSeed(seed[:]) - pk.Pack(ppk[:]) - sk.Pack(psk[:]) - - if hexHash(ppk[:]) != "545bfe9c57c40641" { - t.Fatal() - } - if hexHash(psk[:]) != "76e2e97aedb8e904" { - t.Fatal() - } -} diff --git a/src/circl/pke/kyber/kyber1024/internal/vec.go b/src/circl/pke/kyber/kyber1024/internal/vec.go index aac9462089c..3af1c8fed49 100644 --- a/src/circl/pke/kyber/kyber1024/internal/vec.go +++ b/src/circl/pke/kyber/kyber1024/internal/vec.go @@ -9,11 +9,13 @@ import ( // A vector of K polynomials type Vec [K]common.Poly -// Samples v[i] from the centered binomial distribution with p=½ and n=4 -// with the given seed and nonce+i. -func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { +// Samples v[i] from a centered binomial distribution with given η, +// seed and nonce+i. +// +// Essentially CBD_η(PRF(seed, nonce+i)) from the specification. +func (v *Vec) DeriveNoise(seed []byte, nonce uint8, eta int) { for i := 0; i < K; i++ { - v[i].DeriveNoise(seed, nonce+uint8(i)) + v[i].DeriveNoise(seed, nonce+uint8(i), eta) } } @@ -21,7 +23,7 @@ func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { // // See MulHat() and NTT() for a description of the multiplication. // Assumes a and b are in Montgomery form. p will be in Montgomery form, -// and its coefficients will be bounded in absolute value by kq. +// and its coefficients will be bounded in absolute value by 2kq. // If a and b are not in Montgomery form, then the action is the same // as "pointwise" multiplication followed by multiplying by R⁻¹, the inverse // of the Montgomery factor. @@ -110,8 +112,6 @@ func (v *Vec) Decompress(m []byte, d int) { // ⌈(256 d)/8⌉ func compressedPolySize(d int) int { switch d { - case 3: - return 96 case 4: return 128 case 5: diff --git a/src/circl/pke/kyber/kyber1024/kyber.go b/src/circl/pke/kyber/kyber1024/kyber.go index be2b2460fa9..a3585bc0665 100644 --- a/src/circl/pke/kyber/kyber1024/kyber.go +++ b/src/circl/pke/kyber/kyber1024/kyber.go @@ -1,10 +1,10 @@ // Code generated from modePkg.templ.go. DO NOT EDIT. // kyber1024 implements the IND-CPA-secure Public Key Encryption -// scheme Kyber1024.CPAPKE as submitted to round2 of the NIST PQC competition +// scheme Kyber1024.CPAPKE as submitted to round 3 of the NIST PQC competition // and described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package kyber1024 import ( diff --git a/src/circl/pke/kyber/kyber512/internal/cpapke.go b/src/circl/pke/kyber/kyber512/internal/cpapke.go index 218ee523c49..1efffddbc52 100644 --- a/src/circl/pke/kyber/kyber512/internal/cpapke.go +++ b/src/circl/pke/kyber/kyber512/internal/cpapke.go @@ -1,8 +1,7 @@ package internal import ( - "golang.org/x/crypto/sha3" - + "circl/internal/sha3" "circl/pke/kyber/internal/common" ) @@ -65,11 +64,11 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { pk.aT.Derive(&pk.rho, false) // Expand ρ to matrix A; we'll transpose later var eh Vec - sk.sh.DeriveNoise(sigma, 0) // Sample secret vector s + sk.sh.DeriveNoise(sigma, 0, Eta1) // Sample secret vector s sk.sh.NTT() sk.sh.Normalize() - eh.DeriveNoise(sigma, K) // Sample blind e + eh.DeriveNoise(sigma, K, Eta1) // Sample blind e eh.NTT() // Next, we compute t = A s + e. @@ -104,6 +103,7 @@ func (sk *PrivateKey) DecryptTo(pt, ct []byte) { // Compute m = v - u.NTT() PolyDotHat(&m, &sk.sh, &u) + m.BarrettReduce() m.InvNTT() m.Sub(&v, &m) m.Normalize() @@ -122,12 +122,12 @@ func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { var e2, v, m common.Poly // Sample r, e₁ and e₂ from B_η - rh.DeriveNoise(seed, 0) + rh.DeriveNoise(seed, 0, Eta1) rh.NTT() rh.BarrettReduce() - e1.DeriveNoise(seed, K) - e2.DeriveNoise(seed, 2*K) + e1.DeriveNoise(seed, K, common.Eta2) + e2.DeriveNoise(seed, 2*K, common.Eta2) // Next we compute u = Aᵀ r + e₁. First Aᵀ. for i := 0; i < K; i++ { @@ -137,8 +137,6 @@ func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { PolyDotHat(&u[i], &pk.aT[i], &rh) } - // XXX InvNTT actually works with inputs only bounded by ~3q so we might - // be able to remove this reduction for some K. u.BarrettReduce() // Aᵀ and r were not in Montgomery form, so the Montgomery diff --git a/src/circl/pke/kyber/kyber512/internal/cpapke_test.go b/src/circl/pke/kyber/kyber512/internal/cpapke_test.go index 6091fb71926..98d573b5db2 100644 --- a/src/circl/pke/kyber/kyber512/internal/cpapke_test.go +++ b/src/circl/pke/kyber/kyber512/internal/cpapke_test.go @@ -2,17 +2,9 @@ package internal import ( "crypto/rand" - "encoding/hex" "testing" - - "golang.org/x/crypto/sha3" ) -func hexHash(in []byte) string { - h := sha3.Sum256(in) - return hex.EncodeToString(h[:8]) -} - func TestEncryptThenDecrypt(t *testing.T) { var seed [32]byte var coin [SeedSize]byte diff --git a/src/circl/pke/kyber/kyber512/internal/mat.go b/src/circl/pke/kyber/kyber512/internal/mat.go index 003feb7f112..7f6727f14f1 100644 --- a/src/circl/pke/kyber/kyber512/internal/mat.go +++ b/src/circl/pke/kyber/kyber512/internal/mat.go @@ -1,22 +1,73 @@ package internal +import ( + "circl/pke/kyber/internal/common" +) + // A k by k matrix of polynomials. type Mat [K]Vec // Expands the given seed to the corresponding matrix A or its transpose Aᵀ. func (m *Mat) Derive(seed *[32]byte, transpose bool) { - if transpose { - for i := 0; i < K; i++ { - for j := 0; j < K; j++ { - m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + if !common.DeriveX4Available { + if transpose { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + } + } + } else { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + } } } - } else { - for i := 0; i < K; i++ { - for j := 0; j < K; j++ { - m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + return + } + + var ps [4]*common.Poly + var xs [4]uint8 + var ys [4]uint8 + x := uint8(0) + y := uint8(0) + + for x != K { + idx := 0 + for ; idx < 4; idx++ { + ps[idx] = &m[x][y] + + if transpose { + xs[idx] = x + ys[idx] = y + } else { + xs[idx] = y + ys[idx] = x + } + + y++ + if y == K { + x++ + y = 0 + + if x == K { + if idx == 0 { + // If there is just one left, then a plain DeriveUniform + // is quicker than the X4 variant. + ps[0].DeriveUniform(seed, xs[0], ys[0]) + return + } + + for idx++; idx < 4; idx++ { + ps[idx] = nil + } + + break + } } } + + common.PolyDeriveUniformX4(ps, seed, xs, ys) } } diff --git a/src/circl/pke/kyber/kyber512/internal/params.go b/src/circl/pke/kyber/kyber512/internal/params.go index 0935c06e347..b82e1380fb0 100644 --- a/src/circl/pke/kyber/kyber512/internal/params.go +++ b/src/circl/pke/kyber/kyber512/internal/params.go @@ -8,13 +8,14 @@ import ( const ( K = 2 + Eta1 = 3 DU = 10 - DV = 3 + DV = 4 PublicKeySize = 32 + K*common.PolySize PrivateKeySize = K * common.PolySize PlaintextSize = common.PlaintextSize SeedSize = 32 - CiphertextSize = 736 + CiphertextSize = 768 ) diff --git a/src/circl/pke/kyber/kyber512/internal/params_test.go b/src/circl/pke/kyber/kyber512/internal/params_test.go deleted file mode 100644 index 6406d99d29c..00000000000 --- a/src/circl/pke/kyber/kyber512/internal/params_test.go +++ /dev/null @@ -1,25 +0,0 @@ -package internal - -import ( - "testing" -) - -func TestNewKeyFromSeed(t *testing.T) { - var seed [32]byte - var ppk [PublicKeySize]byte - var psk [PrivateKeySize]byte - - for i := 0; i < 32; i++ { - seed[i] = uint8(i) - } - pk, sk := NewKeyFromSeed(seed[:]) - pk.Pack(ppk[:]) - sk.Pack(psk[:]) - - if hexHash(ppk[:]) != "dcd0498733bdcda5" { - t.Fatal() - } - if hexHash(psk[:]) != "fde000dd9e761431" { - t.Fatal() - } -} diff --git a/src/circl/pke/kyber/kyber512/internal/vec.go b/src/circl/pke/kyber/kyber512/internal/vec.go index 9af86b54fa3..21a0604a333 100644 --- a/src/circl/pke/kyber/kyber512/internal/vec.go +++ b/src/circl/pke/kyber/kyber512/internal/vec.go @@ -7,11 +7,13 @@ import ( // A vector of K polynomials type Vec [K]common.Poly -// Samples v[i] from the centered binomial distribution with p=½ and n=4 -// with the given seed and nonce+i. -func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { +// Samples v[i] from a centered binomial distribution with given η, +// seed and nonce+i. +// +// Essentially CBD_η(PRF(seed, nonce+i)) from the specification. +func (v *Vec) DeriveNoise(seed []byte, nonce uint8, eta int) { for i := 0; i < K; i++ { - v[i].DeriveNoise(seed, nonce+uint8(i)) + v[i].DeriveNoise(seed, nonce+uint8(i), eta) } } @@ -19,7 +21,7 @@ func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { // // See MulHat() and NTT() for a description of the multiplication. // Assumes a and b are in Montgomery form. p will be in Montgomery form, -// and its coefficients will be bounded in absolute value by kq. +// and its coefficients will be bounded in absolute value by 2kq. // If a and b are not in Montgomery form, then the action is the same // as "pointwise" multiplication followed by multiplying by R⁻¹, the inverse // of the Montgomery factor. @@ -108,8 +110,6 @@ func (v *Vec) Decompress(m []byte, d int) { // ⌈(256 d)/8⌉ func compressedPolySize(d int) int { switch d { - case 3: - return 96 case 4: return 128 case 5: diff --git a/src/circl/pke/kyber/kyber512/kyber.go b/src/circl/pke/kyber/kyber512/kyber.go index b991fb79ee1..b62a0333484 100644 --- a/src/circl/pke/kyber/kyber512/kyber.go +++ b/src/circl/pke/kyber/kyber512/kyber.go @@ -1,10 +1,10 @@ // Code generated from modePkg.templ.go. DO NOT EDIT. // kyber512 implements the IND-CPA-secure Public Key Encryption -// scheme Kyber512.CPAPKE as submitted to round2 of the NIST PQC competition +// scheme Kyber512.CPAPKE as submitted to round 3 of the NIST PQC competition // and described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package kyber512 import ( diff --git a/src/circl/pke/kyber/kyber768/internal/cpapke.go b/src/circl/pke/kyber/kyber768/internal/cpapke.go index 0765c948d49..89642b17de4 100644 --- a/src/circl/pke/kyber/kyber768/internal/cpapke.go +++ b/src/circl/pke/kyber/kyber768/internal/cpapke.go @@ -3,8 +3,7 @@ package internal import ( - "golang.org/x/crypto/sha3" - + "circl/internal/sha3" "circl/pke/kyber/internal/common" ) @@ -67,11 +66,11 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { pk.aT.Derive(&pk.rho, false) // Expand ρ to matrix A; we'll transpose later var eh Vec - sk.sh.DeriveNoise(sigma, 0) // Sample secret vector s + sk.sh.DeriveNoise(sigma, 0, Eta1) // Sample secret vector s sk.sh.NTT() sk.sh.Normalize() - eh.DeriveNoise(sigma, K) // Sample blind e + eh.DeriveNoise(sigma, K, Eta1) // Sample blind e eh.NTT() // Next, we compute t = A s + e. @@ -106,6 +105,7 @@ func (sk *PrivateKey) DecryptTo(pt, ct []byte) { // Compute m = v - u.NTT() PolyDotHat(&m, &sk.sh, &u) + m.BarrettReduce() m.InvNTT() m.Sub(&v, &m) m.Normalize() @@ -124,12 +124,12 @@ func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { var e2, v, m common.Poly // Sample r, e₁ and e₂ from B_η - rh.DeriveNoise(seed, 0) + rh.DeriveNoise(seed, 0, Eta1) rh.NTT() rh.BarrettReduce() - e1.DeriveNoise(seed, K) - e2.DeriveNoise(seed, 2*K) + e1.DeriveNoise(seed, K, common.Eta2) + e2.DeriveNoise(seed, 2*K, common.Eta2) // Next we compute u = Aᵀ r + e₁. First Aᵀ. for i := 0; i < K; i++ { @@ -139,8 +139,6 @@ func (pk *PublicKey) EncryptTo(ct, seed, pt []byte) { PolyDotHat(&u[i], &pk.aT[i], &rh) } - // XXX InvNTT actually works with inputs only bounded by ~3q so we might - // be able to remove this reduction for some K. u.BarrettReduce() // Aᵀ and r were not in Montgomery form, so the Montgomery diff --git a/src/circl/pke/kyber/kyber768/internal/cpapke_test.go b/src/circl/pke/kyber/kyber768/internal/cpapke_test.go index dcc62531675..2d5552397c1 100644 --- a/src/circl/pke/kyber/kyber768/internal/cpapke_test.go +++ b/src/circl/pke/kyber/kyber768/internal/cpapke_test.go @@ -4,17 +4,9 @@ package internal import ( "crypto/rand" - "encoding/hex" "testing" - - "golang.org/x/crypto/sha3" ) -func hexHash(in []byte) string { - h := sha3.Sum256(in) - return hex.EncodeToString(h[:8]) -} - func TestEncryptThenDecrypt(t *testing.T) { var seed [32]byte var coin [SeedSize]byte diff --git a/src/circl/pke/kyber/kyber768/internal/mat.go b/src/circl/pke/kyber/kyber768/internal/mat.go index 8f5e5497736..cc1decfd58e 100644 --- a/src/circl/pke/kyber/kyber768/internal/mat.go +++ b/src/circl/pke/kyber/kyber768/internal/mat.go @@ -2,23 +2,74 @@ package internal +import ( + "circl/pke/kyber/internal/common" +) + // A k by k matrix of polynomials. type Mat [K]Vec // Expands the given seed to the corresponding matrix A or its transpose Aᵀ. func (m *Mat) Derive(seed *[32]byte, transpose bool) { - if transpose { - for i := 0; i < K; i++ { - for j := 0; j < K; j++ { - m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + if !common.DeriveX4Available { + if transpose { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(i), uint8(j)) + } + } + } else { + for i := 0; i < K; i++ { + for j := 0; j < K; j++ { + m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + } } } - } else { - for i := 0; i < K; i++ { - for j := 0; j < K; j++ { - m[i][j].DeriveUniform(seed, uint8(j), uint8(i)) + return + } + + var ps [4]*common.Poly + var xs [4]uint8 + var ys [4]uint8 + x := uint8(0) + y := uint8(0) + + for x != K { + idx := 0 + for ; idx < 4; idx++ { + ps[idx] = &m[x][y] + + if transpose { + xs[idx] = x + ys[idx] = y + } else { + xs[idx] = y + ys[idx] = x + } + + y++ + if y == K { + x++ + y = 0 + + if x == K { + if idx == 0 { + // If there is just one left, then a plain DeriveUniform + // is quicker than the X4 variant. + ps[0].DeriveUniform(seed, xs[0], ys[0]) + return + } + + for idx++; idx < 4; idx++ { + ps[idx] = nil + } + + break + } } } + + common.PolyDeriveUniformX4(ps, seed, xs, ys) } } diff --git a/src/circl/pke/kyber/kyber768/internal/params.go b/src/circl/pke/kyber/kyber768/internal/params.go index 348203a9633..07e39fd9fd3 100644 --- a/src/circl/pke/kyber/kyber768/internal/params.go +++ b/src/circl/pke/kyber/kyber768/internal/params.go @@ -8,6 +8,7 @@ import ( const ( K = 3 + Eta1 = 2 DU = 10 DV = 4 PublicKeySize = 32 + K*common.PolySize diff --git a/src/circl/pke/kyber/kyber768/internal/params_test.go b/src/circl/pke/kyber/kyber768/internal/params_test.go deleted file mode 100644 index f8f253dcd9c..00000000000 --- a/src/circl/pke/kyber/kyber768/internal/params_test.go +++ /dev/null @@ -1,25 +0,0 @@ -package internal - -import ( - "testing" -) - -func TestNewKeyFromSeed(t *testing.T) { - var seed [32]byte - var ppk [PublicKeySize]byte - var psk [PrivateKeySize]byte - - for i := 0; i < 32; i++ { - seed[i] = uint8(i) - } - pk, sk := NewKeyFromSeed(seed[:]) - pk.Pack(ppk[:]) - sk.Pack(psk[:]) - - if hexHash(ppk[:]) != "c8d2666793358e30" { - t.Fatal() - } - if hexHash(psk[:]) != "bced10f66aa95b77" { - t.Fatal() - } -} diff --git a/src/circl/pke/kyber/kyber768/internal/vec.go b/src/circl/pke/kyber/kyber768/internal/vec.go index aac9462089c..3af1c8fed49 100644 --- a/src/circl/pke/kyber/kyber768/internal/vec.go +++ b/src/circl/pke/kyber/kyber768/internal/vec.go @@ -9,11 +9,13 @@ import ( // A vector of K polynomials type Vec [K]common.Poly -// Samples v[i] from the centered binomial distribution with p=½ and n=4 -// with the given seed and nonce+i. -func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { +// Samples v[i] from a centered binomial distribution with given η, +// seed and nonce+i. +// +// Essentially CBD_η(PRF(seed, nonce+i)) from the specification. +func (v *Vec) DeriveNoise(seed []byte, nonce uint8, eta int) { for i := 0; i < K; i++ { - v[i].DeriveNoise(seed, nonce+uint8(i)) + v[i].DeriveNoise(seed, nonce+uint8(i), eta) } } @@ -21,7 +23,7 @@ func (v *Vec) DeriveNoise(seed []byte, nonce uint8) { // // See MulHat() and NTT() for a description of the multiplication. // Assumes a and b are in Montgomery form. p will be in Montgomery form, -// and its coefficients will be bounded in absolute value by kq. +// and its coefficients will be bounded in absolute value by 2kq. // If a and b are not in Montgomery form, then the action is the same // as "pointwise" multiplication followed by multiplying by R⁻¹, the inverse // of the Montgomery factor. @@ -110,8 +112,6 @@ func (v *Vec) Decompress(m []byte, d int) { // ⌈(256 d)/8⌉ func compressedPolySize(d int) int { switch d { - case 3: - return 96 case 4: return 128 case 5: diff --git a/src/circl/pke/kyber/kyber768/kyber.go b/src/circl/pke/kyber/kyber768/kyber.go index 43736810e9a..5284c754efc 100644 --- a/src/circl/pke/kyber/kyber768/kyber.go +++ b/src/circl/pke/kyber/kyber768/kyber.go @@ -1,10 +1,10 @@ // Code generated from modePkg.templ.go. DO NOT EDIT. // kyber768 implements the IND-CPA-secure Public Key Encryption -// scheme Kyber768.CPAPKE as submitted to round2 of the NIST PQC competition +// scheme Kyber768.CPAPKE as submitted to round 3 of the NIST PQC competition // and described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package kyber768 import ( diff --git a/src/circl/pke/kyber/templates/params.templ.go b/src/circl/pke/kyber/templates/params.templ.go index 388ef70fdc1..dc280ad9f60 100644 --- a/src/circl/pke/kyber/templates/params.templ.go +++ b/src/circl/pke/kyber/templates/params.templ.go @@ -12,6 +12,7 @@ import ( const ( K = {{ .K }} + Eta1 = {{ .Eta1 }} DU = {{ .DU }} DV = {{ .DV }} PublicKeySize = 32 + K*common.PolySize diff --git a/src/circl/pke/kyber/templates/pkg.templ.go b/src/circl/pke/kyber/templates/pkg.templ.go index 91610b5bbee..33d11cf3f4e 100644 --- a/src/circl/pke/kyber/templates/pkg.templ.go +++ b/src/circl/pke/kyber/templates/pkg.templ.go @@ -5,10 +5,10 @@ // Code generated from modePkg.templ.go. DO NOT EDIT. // {{ .Pkg }} implements the IND-CPA-secure Public Key Encryption -// scheme {{ .Name }}.CPAPKE as submitted to round2 of the NIST PQC competition +// scheme {{ .Name }}.CPAPKE as submitted to round 3 of the NIST PQC competition // and described in // -// https://pq-crystals.org/kyber/data/kyber-specification-round2.pdf +// https://pq-crystals.org/kyber/data/kyber-specification-round3.pdf package {{ .Pkg }} import ( diff --git a/src/circl/sign/dilithium/dilithium_test.go b/src/circl/sign/dilithium/dilithium_test.go index da4d8a4e8db..c6ae319cdf6 100644 --- a/src/circl/sign/dilithium/dilithium_test.go +++ b/src/circl/sign/dilithium/dilithium_test.go @@ -4,12 +4,12 @@ import ( "encoding/hex" "testing" - "circl/internal/shake" + "circl/internal/sha3" ) func hexHash(in []byte) string { var ret [16]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(in[:]) _, _ = h.Read(ret[:]) return hex.EncodeToString(ret[:]) @@ -21,7 +21,7 @@ func testNewKeyFromSeed(t *testing.T, name, esk, epk string) { t.Fatal() } var seed [96]byte - h := shake.NewShake128() + h := sha3.NewShake128() _, _ = h.Write(make([]byte, mode.SeedSize())) _, _ = h.Read(seed[:]) pk, sk := mode.NewKeyFromExpandedSeed(&seed) diff --git a/src/circl/sign/dilithium/mode1/internal/dilithium.go b/src/circl/sign/dilithium/mode1/internal/dilithium.go index 5f8c214d824..fb0eaaf1963 100644 --- a/src/circl/sign/dilithium/mode1/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode1/internal/dilithium.go @@ -7,7 +7,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -92,7 +92,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -191,7 +191,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -221,7 +221,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -242,7 +242,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -296,7 +296,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode1/internal/sample.go b/src/circl/sign/dilithium/mode1/internal/sample.go index 871e76bab00..8d01e8ef776 100644 --- a/src/circl/sign/dilithium/mode1/internal/sample.go +++ b/src/circl/sign/dilithium/mode1/internal/sample.go @@ -3,7 +3,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -216,7 +216,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -276,7 +276,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -367,7 +367,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -522,7 +522,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/dilithium/mode1aes/internal/dilithium.go b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go index 5f8c214d824..fb0eaaf1963 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode1aes/internal/dilithium.go @@ -7,7 +7,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -92,7 +92,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -191,7 +191,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -221,7 +221,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -242,7 +242,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -296,7 +296,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode1aes/internal/sample.go b/src/circl/sign/dilithium/mode1aes/internal/sample.go index 871e76bab00..8d01e8ef776 100644 --- a/src/circl/sign/dilithium/mode1aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode1aes/internal/sample.go @@ -3,7 +3,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -216,7 +216,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -276,7 +276,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -367,7 +367,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -522,7 +522,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/dilithium/mode2/internal/dilithium.go b/src/circl/sign/dilithium/mode2/internal/dilithium.go index 5f8c214d824..fb0eaaf1963 100644 --- a/src/circl/sign/dilithium/mode2/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode2/internal/dilithium.go @@ -7,7 +7,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -92,7 +92,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -191,7 +191,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -221,7 +221,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -242,7 +242,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -296,7 +296,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode2/internal/sample.go b/src/circl/sign/dilithium/mode2/internal/sample.go index 871e76bab00..8d01e8ef776 100644 --- a/src/circl/sign/dilithium/mode2/internal/sample.go +++ b/src/circl/sign/dilithium/mode2/internal/sample.go @@ -3,7 +3,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -216,7 +216,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -276,7 +276,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -367,7 +367,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -522,7 +522,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/dilithium/mode2aes/internal/dilithium.go b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go index 5f8c214d824..fb0eaaf1963 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode2aes/internal/dilithium.go @@ -7,7 +7,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -92,7 +92,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -191,7 +191,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -221,7 +221,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -242,7 +242,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -296,7 +296,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode2aes/internal/sample.go b/src/circl/sign/dilithium/mode2aes/internal/sample.go index 871e76bab00..8d01e8ef776 100644 --- a/src/circl/sign/dilithium/mode2aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode2aes/internal/sample.go @@ -3,7 +3,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -216,7 +216,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -276,7 +276,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -367,7 +367,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -522,7 +522,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/dilithium/mode3/internal/dilithium.go b/src/circl/sign/dilithium/mode3/internal/dilithium.go index 28b2b8f1362..3c16cdbe69d 100644 --- a/src/circl/sign/dilithium/mode3/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode3/internal/dilithium.go @@ -5,7 +5,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -90,7 +90,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -189,7 +189,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -219,7 +219,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -240,7 +240,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -294,7 +294,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode3/internal/sample.go b/src/circl/sign/dilithium/mode3/internal/sample.go index cd14ee368f8..c19a01c7b99 100644 --- a/src/circl/sign/dilithium/mode3/internal/sample.go +++ b/src/circl/sign/dilithium/mode3/internal/sample.go @@ -1,7 +1,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -214,7 +214,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -274,7 +274,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -365,7 +365,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -520,7 +520,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/dilithium/mode3aes/internal/dilithium.go b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go index 5f8c214d824..fb0eaaf1963 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode3aes/internal/dilithium.go @@ -7,7 +7,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -92,7 +92,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -191,7 +191,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -221,7 +221,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -242,7 +242,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -296,7 +296,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode3aes/internal/sample.go b/src/circl/sign/dilithium/mode3aes/internal/sample.go index 871e76bab00..8d01e8ef776 100644 --- a/src/circl/sign/dilithium/mode3aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode3aes/internal/sample.go @@ -3,7 +3,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -216,7 +216,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -276,7 +276,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -367,7 +367,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -522,7 +522,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/dilithium/mode4/internal/dilithium.go b/src/circl/sign/dilithium/mode4/internal/dilithium.go index 5f8c214d824..fb0eaaf1963 100644 --- a/src/circl/sign/dilithium/mode4/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode4/internal/dilithium.go @@ -7,7 +7,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -92,7 +92,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -191,7 +191,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -221,7 +221,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -242,7 +242,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -296,7 +296,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode4/internal/sample.go b/src/circl/sign/dilithium/mode4/internal/sample.go index 871e76bab00..8d01e8ef776 100644 --- a/src/circl/sign/dilithium/mode4/internal/sample.go +++ b/src/circl/sign/dilithium/mode4/internal/sample.go @@ -3,7 +3,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -216,7 +216,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -276,7 +276,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -367,7 +367,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -522,7 +522,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/dilithium/mode4aes/internal/dilithium.go b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go index 5f8c214d824..fb0eaaf1963 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/dilithium.go +++ b/src/circl/sign/dilithium/mode4aes/internal/dilithium.go @@ -7,7 +7,7 @@ import ( "crypto/subtle" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign/dilithium/internal/common" ) @@ -92,7 +92,7 @@ func (pk *PublicKey) Unpack(buf *[PublicKeySize]byte) { // tr = CRH(ρ ‖ t1) = CRH(pk) pk.tr = new([48]byte) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(buf[:]) _, _ = h.Read(pk.tr[:]) } @@ -191,7 +191,7 @@ func NewKeyFromExpandedSeed(seed *[96]byte) (*PublicKey, *PrivateKey) { pk.Pack(&packedPk) // tr = CRH(ρ ‖ t1) = CRH(pk) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(packedPk[:]) _, _ = h.Read(sk.tr[:]) @@ -221,7 +221,7 @@ func (sk *PrivateKey) computeT0andT1(t0, t1 *VecK) { // NewKeyFromSeed derives a public/private key pair using the given seed. func NewKeyFromSeed(seed *[common.SeedSize]byte) (*PublicKey, *PrivateKey) { var buf [96]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(buf[:]) return NewKeyFromExpandedSeed(&buf) @@ -242,7 +242,7 @@ func Verify(pk *PublicKey, msg []byte, signature []byte) bool { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(pk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) @@ -296,7 +296,7 @@ func SignTo(sk *PrivateKey, msg []byte, signature []byte) { } // μ = CRH(tr ‖ msg) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(sk.tr[:]) _, _ = h.Write(msg) _, _ = h.Read(mu[:]) diff --git a/src/circl/sign/dilithium/mode4aes/internal/sample.go b/src/circl/sign/dilithium/mode4aes/internal/sample.go index 871e76bab00..8d01e8ef776 100644 --- a/src/circl/sign/dilithium/mode4aes/internal/sample.go +++ b/src/circl/sign/dilithium/mode4aes/internal/sample.go @@ -3,7 +3,7 @@ package internal import ( - "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" "circl/sign/dilithium/internal/common" @@ -216,7 +216,7 @@ func PolyDeriveUniform(p *common.Poly, seed *[32]byte, nonce uint16) { } } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -276,7 +276,7 @@ func PolyDeriveUniformLeqEta(p *common.Poly, seed *[32]byte, nonce uint16) { } else { var iv [32 + 2]byte // 32 byte seed + uint16 nonce - h := shake.NewShake128() + h := sha3.NewShake128() copy(iv[:32], seed[:]) iv[32] = uint8(nonce) iv[33] = uint8(nonce >> 8) @@ -367,7 +367,7 @@ func PolyDeriveUniformLeGamma1(p *common.Poly, seed *[48]byte, nonce uint16) { var iv [48 + 2]byte // 48 byte seed + uint16 nonce bufOffset := 0 // where to put the next block - h := shake.NewShake256() + h := sha3.NewShake256() copy(iv[:48], seed[:]) iv[48] = uint8(nonce) iv[49] = uint8(nonce >> 8) @@ -522,7 +522,7 @@ func PolyDeriveUniformB60(p *common.Poly, seed *[48]byte, w1 *VecK) { w1.PackLe16(w1Packed[:]) - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Write(w1Packed[:]) _, _ = h.Read(buf[:]) diff --git a/src/circl/sign/ed25519/ed25519.go b/src/circl/sign/ed25519/ed25519.go index 3056e830c12..caf56e95cb0 100644 --- a/src/circl/sign/ed25519/ed25519.go +++ b/src/circl/sign/ed25519/ed25519.go @@ -116,9 +116,9 @@ func (priv PrivateKey) Seed() []byte { return seed } -func (priv PrivateKey) Scheme() sign.Scheme { return Scheme } +func (priv PrivateKey) Scheme() sign.Scheme { return sch } -func (pub PublicKey) Scheme() sign.Scheme { return Scheme } +func (pub PublicKey) Scheme() sign.Scheme { return sch } func (priv PrivateKey) MarshalBinary() (data []byte, err error) { privateKey := make(PrivateKey, PrivateKeySize) diff --git a/src/circl/sign/ed25519/signapi.go b/src/circl/sign/ed25519/signapi.go index 2a8223be960..af467b4f62a 100644 --- a/src/circl/sign/ed25519/signapi.go +++ b/src/circl/sign/ed25519/signapi.go @@ -7,7 +7,10 @@ import ( "circl/sign" ) -var Scheme sign.Scheme = &scheme{} +var sch sign.Scheme = &scheme{} + +// Scheme returns a signature interface. +func Scheme() sign.Scheme { return sch } type scheme struct{} diff --git a/src/circl/sign/ed448/ed448.go b/src/circl/sign/ed448/ed448.go index f61d7935fd7..99fced49e68 100644 --- a/src/circl/sign/ed448/ed448.go +++ b/src/circl/sign/ed448/ed448.go @@ -34,7 +34,7 @@ import ( "strconv" "circl/ecc/goldilocks" - sha3 "circl/internal/shake" + "circl/internal/sha3" "circl/sign" ) @@ -112,9 +112,9 @@ func (priv PrivateKey) Seed() []byte { return seed } -func (priv PrivateKey) Scheme() sign.Scheme { return Scheme } +func (priv PrivateKey) Scheme() sign.Scheme { return sch } -func (pub PublicKey) Scheme() sign.Scheme { return Scheme } +func (pub PublicKey) Scheme() sign.Scheme { return sch } func (priv PrivateKey) MarshalBinary() (data []byte, err error) { privateKey := make(PrivateKey, PrivateKeySize) diff --git a/src/circl/sign/ed448/signapi.go b/src/circl/sign/ed448/signapi.go index 9c0141c8ca7..aa57e54bea7 100644 --- a/src/circl/sign/ed448/signapi.go +++ b/src/circl/sign/ed448/signapi.go @@ -7,7 +7,10 @@ import ( "circl/sign" ) -var Scheme sign.Scheme = &scheme{} +var sch sign.Scheme = &scheme{} + +// Scheme returns a signature interface. +func Scheme() sign.Scheme { return sch } type scheme struct{} diff --git a/src/circl/sign/eddilithium3/eddilithium.go b/src/circl/sign/eddilithium3/eddilithium.go index 129d74c4e03..fb84620eaa9 100644 --- a/src/circl/sign/eddilithium3/eddilithium.go +++ b/src/circl/sign/eddilithium3/eddilithium.go @@ -7,7 +7,7 @@ import ( "errors" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign" "circl/sign/dilithium/mode3" "circl/sign/ed25519" @@ -67,7 +67,7 @@ func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { // is safe. Setting a bad example here isn't worth the tiny gain in // performance. - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(seed1[:]) _, _ = h.Read(seed2[:]) @@ -186,8 +186,8 @@ func (sk *PrivateKey) UnmarshalBinary(data []byte) error { return nil } -func (sk *PrivateKey) Scheme() sign.Scheme { return Scheme } -func (pk *PublicKey) Scheme() sign.Scheme { return Scheme } +func (sk *PrivateKey) Scheme() sign.Scheme { return sch } +func (pk *PublicKey) Scheme() sign.Scheme { return sch } func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { castOther, ok := other.(*PrivateKey) diff --git a/src/circl/sign/eddilithium3/signapi.go b/src/circl/sign/eddilithium3/signapi.go index d87b2125cc8..e2e7c9a3030 100644 --- a/src/circl/sign/eddilithium3/signapi.go +++ b/src/circl/sign/eddilithium3/signapi.go @@ -7,7 +7,10 @@ import ( "circl/sign" ) -var Scheme sign.Scheme = &scheme{} +var sch sign.Scheme = &scheme{} + +// Scheme returns a signature interface. +func Scheme() sign.Scheme { return sch } type scheme struct{} diff --git a/src/circl/sign/eddilithium4/eddilithium.go b/src/circl/sign/eddilithium4/eddilithium.go index a4cc9cea124..40e714a0769 100644 --- a/src/circl/sign/eddilithium4/eddilithium.go +++ b/src/circl/sign/eddilithium4/eddilithium.go @@ -7,7 +7,7 @@ import ( "errors" "io" - "circl/internal/shake" + "circl/internal/sha3" "circl/sign" "circl/sign/dilithium/mode4" "circl/sign/ed448" @@ -60,7 +60,7 @@ func NewKeyFromSeed(seed *[SeedSize]byte) (*PublicKey, *PrivateKey) { var seed1 [32]byte var seed2 [ed448.SeedSize]byte - h := shake.NewShake256() + h := sha3.NewShake256() _, _ = h.Write(seed[:]) _, _ = h.Read(seed1[:]) _, _ = h.Read(seed2[:]) @@ -181,8 +181,8 @@ func (sk *PrivateKey) UnmarshalBinary(data []byte) error { return nil } -func (sk *PrivateKey) Scheme() sign.Scheme { return Scheme } -func (pk *PublicKey) Scheme() sign.Scheme { return Scheme } +func (sk *PrivateKey) Scheme() sign.Scheme { return sch } +func (pk *PublicKey) Scheme() sign.Scheme { return sch } func (sk *PrivateKey) Equal(other crypto.PrivateKey) bool { castOther, ok := other.(*PrivateKey) diff --git a/src/circl/sign/eddilithium4/signapi.go b/src/circl/sign/eddilithium4/signapi.go index 8f62cd4651a..377091ce5fd 100644 --- a/src/circl/sign/eddilithium4/signapi.go +++ b/src/circl/sign/eddilithium4/signapi.go @@ -7,7 +7,10 @@ import ( "circl/sign" ) -var Scheme sign.Scheme = &scheme{} +var sch sign.Scheme = &scheme{} + +// Scheme returns a signature interface. +func Scheme() sign.Scheme { return sch } type scheme struct{} diff --git a/src/circl/sign/schemes/schemes.go b/src/circl/sign/schemes/schemes.go index 6f78fea7103..b211f11d1a7 100644 --- a/src/circl/sign/schemes/schemes.go +++ b/src/circl/sign/schemes/schemes.go @@ -1,4 +1,10 @@ // Package schemes contains a register of signature algorithms. +// +// Implemented schemes: +// Ed25519 +// Ed448 +// Ed25519-Dilithium3 +// Ed448-Dilithium4 package schemes import ( @@ -12,10 +18,10 @@ import ( ) var allSchemes = [...]sign.Scheme{ - ed25519.Scheme, - ed448.Scheme, - eddilithium3.Scheme, - eddilithium4.Scheme, + ed25519.Scheme(), + ed448.Scheme(), + eddilithium3.Scheme(), + eddilithium4.Scheme(), } var allSchemeNames map[string]sign.Scheme diff --git a/src/circl/sign/schemes/schemes_test.go b/src/circl/sign/schemes/schemes_test.go index d4eb8e7132e..ceb3635b494 100644 --- a/src/circl/sign/schemes/schemes_test.go +++ b/src/circl/sign/schemes/schemes_test.go @@ -107,3 +107,14 @@ func TestApi(t *testing.T) { }) } } + +func Example() { + for _, sch := range schemes.All() { + fmt.Println(sch.Name()) + } + // Output: + // Ed25519 + // Ed448 + // Ed25519-Dilithium3 + // Ed448-Dilithium4 +} diff --git a/src/circl/sign/sign.go b/src/circl/sign/sign.go index 402bc910e01..36fd1e28f38 100644 --- a/src/circl/sign/sign.go +++ b/src/circl/sign/sign.go @@ -41,7 +41,7 @@ type PrivateKey interface { // A Scheme represents a specific instance of a signature scheme. type Scheme interface { - // Name of the scheme + // Name of the scheme. Name() string // GenerateKey creates a new key-pair. @@ -56,7 +56,7 @@ type Scheme interface { // given message. opts are additional options which can be nil. Verify(pk PublicKey, message []byte, signature []byte, opts *SignatureOpts) bool - // Deterministically derives a keypair from a seed. If you're unsure, + // Deterministically derives a keypair from a seed. If you're unsure, // you're better off using GenerateKey(). // // Panics if seed is not of length SeedSize(). @@ -68,25 +68,25 @@ type Scheme interface { // Unmarshals a PublicKey from the provided buffer. UnmarshalBinaryPrivateKey([]byte) (PrivateKey, error) - // Size of binary marshalled public keys + // Size of binary marshalled public keys. PublicKeySize() int - // Size of binary marshalled public keys + // Size of binary marshalled public keys. PrivateKeySize() int - // Size of signatures + // Size of signatures. SignatureSize() int - // Size of seeds + // Size of seeds. SeedSize() int - // Returns whether contexts are supported + // Returns whether contexts are supported. SupportsContext() bool } var ( // ErrTypeMismatch is the error used if types of, for instance, private - // and public keys don't match + // and public keys don't match. ErrTypeMismatch = errors.New("types mismatch") // ErrSeedSize is the error used if the provided seed is of the wrong @@ -102,6 +102,6 @@ var ( ErrPrivKeySize = errors.New("wrong size for private key") // ErrContextNotSupported is the error used if a context is not - // supported + // supported. ErrContextNotSupported = errors.New("context not supported") ) diff --git a/src/circl/simd/keccakf1600/example_test.go b/src/circl/simd/keccakf1600/example_test.go index ce9f84157d8..27475855e5f 100644 --- a/src/circl/simd/keccakf1600/example_test.go +++ b/src/circl/simd/keccakf1600/example_test.go @@ -4,7 +4,7 @@ import ( "encoding/binary" "fmt" - sha3 "circl/internal/shake" + "circl/internal/sha3" "circl/simd/keccakf1600" ) diff --git a/src/circl/simd/keccakf1600/f1600x4.go b/src/circl/simd/keccakf1600/f1600x4.go index 72dbdf26d7d..91500f7990e 100644 --- a/src/circl/simd/keccakf1600/f1600x4.go +++ b/src/circl/simd/keccakf1600/f1600x4.go @@ -18,7 +18,7 @@ package keccakf1600 import ( "unsafe" - "circl/internal/shake" + "circl/internal/sha3" "internal/cpu" ) @@ -76,7 +76,7 @@ func permuteScalar(a []uint64) { for j := 0; j < 25; j++ { buf[j] = a[4*j+i] } - shake.KeccakF1600(&buf) + sha3.KeccakF1600(&buf) for j := 0; j < 25; j++ { a[4*j+i] = buf[j] } diff --git a/src/circl/simd/keccakf1600/f1600x4_amd64.go b/src/circl/simd/keccakf1600/f1600x4_amd64.go index ad99b3bf8b2..7d47f43e209 100644 --- a/src/circl/simd/keccakf1600/f1600x4_amd64.go +++ b/src/circl/simd/keccakf1600/f1600x4_amd64.go @@ -1,5 +1,5 @@ package keccakf1600 -import "circl/internal/shake" +import "circl/internal/sha3" -func permuteSIMD(state []uint64) { f1600x4AVX2(&state[0], &shake.RC) } +func permuteSIMD(state []uint64) { f1600x4AVX2(&state[0], &sha3.RC) } diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go index 690e6a68dfc..cfc63cde57a 100644 --- a/src/crypto/tls/tls_cf.go +++ b/src/crypto/tls/tls_cf.go @@ -18,7 +18,7 @@ var circlSchemes = [...]struct { sigType uint8 scheme circlSign.Scheme }{ - {signatureEdDilithium3, eddilithium3.Scheme}, + {signatureEdDilithium3, eddilithium3.Scheme()}, } func circlSchemeBySigType(sigType uint8) circlSign.Scheme { diff --git a/src/crypto/x509/x509_cf.go b/src/crypto/x509/x509_cf.go index 88278cdfc4b..3c77a4876c9 100644 --- a/src/crypto/x509/x509_cf.go +++ b/src/crypto/x509/x509_cf.go @@ -22,7 +22,7 @@ var circlSchemes = [...]struct { alg PublicKeyAlgorithm scheme circlSign.Scheme }{ - {PureEdDilithium3, EdDilithium3, eddilithium3.Scheme}, + {PureEdDilithium3, EdDilithium3, eddilithium3.Scheme()}, } func CirclSchemeByPublicKeyAlgorithm(alg PublicKeyAlgorithm) circlSign.Scheme { diff --git a/src/go/build/deps_test.go b/src/go/build/deps_test.go index 8384933a642..3150c7dd6b6 100644 --- a/src/go/build/deps_test.go +++ b/src/go/build/deps_test.go @@ -580,10 +580,14 @@ func TestDependencies(t *testing.T) { var bad []string for _, imp := range imports { sawImport[pkg][imp] = true + // TODO(anY): Remove this exception for circl/ and add CIRCL to the + // dependency graph specified by `depsRules`. if !ok[imp] && !strings.HasPrefix(imp, "circl/") { bad = append(bad, imp) } } + // TODO(anY): Remove this exception for circl/ and add CIRCL to the + // dependency graph specified by `depsRules`. if bad != nil && !strings.HasPrefix(pkg, "circl") { t.Errorf("unexpected dependency: %s imports %v", pkg, bad) } From b4d61d5b5b72bee9158ef8d2e97f065f79e5b316 Mon Sep 17 00:00:00 2001 From: Christopher Wood Date: Wed, 9 Dec 2020 17:50:40 -0800 Subject: [PATCH 11/69] crypto/tls: Add experimental intra-handshake timing support Extend the experimental Event API with two new event instances: one for client and server intra-handshake state machine durations, respectively. Each event records elapsed timestamps (durations) for relevant events during the course of a connection, such as reading and writing handshake messages of interest. This will be useful for recording intra-stack costs of TLS extensions such as ECH and KEMTLS. --- src/crypto/tls/handshake_client.go | 23 ++-- src/crypto/tls/handshake_client_tls13.go | 66 ++++++++++++ src/crypto/tls/handshake_server.go | 5 +- src/crypto/tls/handshake_server_tls13.go | 67 ++++++++++++ src/crypto/tls/metrics_test.go | 132 +++++++++++++++++++++++ 5 files changed, 282 insertions(+), 11 deletions(-) create mode 100644 src/crypto/tls/metrics_test.go diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 6d0cae12973..a32ec67a93d 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -141,6 +141,8 @@ func (c *Conn) clientHandshake() (err error) { c.config = defaultConfig() } + handshakeTimings := createTLS13ClientHandshakeTimingInfo(c.config.Time) + // This may be a renegotiation handshake, in which case some fields // need to be reset. c.didResume = false @@ -187,6 +189,8 @@ func (c *Conn) clientHandshake() (err error) { return err } + handshakeTimings.WriteClientHello = handshakeTimings.elapsedTime() + msg, err := c.readHandshake() if err != nil { return err @@ -216,15 +220,16 @@ func (c *Conn) clientHandshake() (err error) { if c.vers == VersionTLS13 { hs := &clientHandshakeStateTLS13{ - c: c, - serverHello: serverHello, - hello: hello, - helloInner: helloInner, - helloBase: helloBase, - ecdheParams: ecdheParams, - session: session, - earlySecret: earlySecret, - binderKey: binderKey, + c: c, + serverHello: serverHello, + hello: hello, + helloInner: helloInner, + helloBase: helloBase, + ecdheParams: ecdheParams, + session: session, + earlySecret: earlySecret, + binderKey: binderKey, + handshakeTimings: handshakeTimings, } // In TLS 1.3, session tickets are delivered after the handshake. diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 77804d8a034..e1a3c543cfe 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -16,6 +16,51 @@ import ( "time" ) +// EXP_EventTLS13ClientHandshakeTimingInfo carries intra-stack time durations +// for TLS 1.3 state machine changes. It can be used for tracking metrics during a +// connection. Some durations may be sensitive, such as the amount of time to +// process a particular handshake message, so this event should only be used +// for experimental purposes. +// +// NOTE: This API is EXPERIMENTAL and subject to change. +type EXP_EventTLS13ClientHandshakeTimingInfo struct { + timer func() time.Time + start time.Time + WriteClientHello time.Duration + ProcessServerHello time.Duration + ReadEncryptedExtensions time.Duration + ReadCertificate time.Duration + ReadCertificateVerify time.Duration + ReadServerFinished time.Duration + WriteCertificate time.Duration + WriteCertificateVerify time.Duration + WriteClientFinished time.Duration +} + +// Name is required by the EXP_Event interface. +func (e EXP_EventTLS13ClientHandshakeTimingInfo) Name() string { + return "TLS13ClientHandshakeTimingInfo" +} + +func (e EXP_EventTLS13ClientHandshakeTimingInfo) elapsedTime() time.Duration { + if e.timer == nil { + return 0 + } + return time.Now().Sub(e.start) +} + +func createTLS13ClientHandshakeTimingInfo(timerFunc func() time.Time) EXP_EventTLS13ClientHandshakeTimingInfo { + timer := time.Now + if timerFunc != nil { + timer = timerFunc + } + + return EXP_EventTLS13ClientHandshakeTimingInfo{ + timer: timer, + start: timer(), + } +} + type clientHandshakeStateTLS13 struct { c *Conn serverHello *serverHelloMsg @@ -36,6 +81,8 @@ type clientHandshakeStateTLS13 struct { transcriptInner hash.Hash masterSecret []byte trafficSecret []byte // client_application_traffic_secret_0 + + handshakeTimings EXP_EventTLS13ClientHandshakeTimingInfo } // handshake requires hs.c, hs.hello, hs.serverHello, hs.ecdheParams, and, @@ -132,6 +179,7 @@ func (hs *clientHandshakeStateTLS13) handshake() error { return err } + c.handleEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -343,6 +391,10 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { func (hs *clientHandshakeStateTLS13) processServerHello() error { c := hs.c + defer func() { + hs.handshakeTimings.ProcessServerHello = hs.handshakeTimings.elapsedTime() + }() + if bytes.Equal(hs.serverHello.random, helloRetryRequestRandom) { c.sendAlert(alertUnexpectedMessage) return errors.New("tls: server sent two HelloRetryRequest messages") @@ -475,6 +527,8 @@ func (hs *clientHandshakeStateTLS13) readServerParameters() error { } } + hs.handshakeTimings.ReadEncryptedExtensions = hs.handshakeTimings.elapsedTime() + return nil } @@ -524,6 +578,8 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { } hs.transcript.Write(certMsg.marshal()) + hs.handshakeTimings.ReadCertificate = hs.handshakeTimings.elapsedTime() + c.scts = certMsg.certificate.SignedCertificateTimestamps c.ocspResponse = certMsg.certificate.OCSPStaple @@ -564,6 +620,8 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { hs.transcript.Write(certVerify.marshal()) + hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() + return nil } @@ -581,6 +639,8 @@ func (hs *clientHandshakeStateTLS13) readServerFinished() error { return unexpectedMessageError(finished, msg) } + hs.handshakeTimings.ReadServerFinished = hs.handshakeTimings.elapsedTime() + expectedMAC := hs.suite.finishedHash(c.in.trafficSecret, hs.transcript) if !hmac.Equal(expectedMAC, finished.verifyData) { c.sendAlert(alertDecryptError) @@ -640,6 +700,8 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { return err } + hs.handshakeTimings.WriteCertificate = hs.handshakeTimings.elapsedTime() + // If we sent an empty certificate message, skip the CertificateVerify. if len(cert.Certificate) == 0 { return nil @@ -678,6 +740,8 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { return err } + hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() + return nil } @@ -693,6 +757,8 @@ func (hs *clientHandshakeStateTLS13) sendClientFinished() error { return err } + hs.handshakeTimings.WriteClientFinished = hs.handshakeTimings.elapsedTime() + c.out.setTrafficSecret(hs.suite, hs.trafficSecret) if !c.config.SessionTicketsDisabled && c.config.ClientSessionCache != nil && !c.config.ECHEnabled { diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index e929ad306a1..0f13f88f645 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -47,8 +47,9 @@ func (c *Conn) serverHandshake() error { if c.vers == VersionTLS13 { hs := serverHandshakeStateTLS13{ - c: c, - clientHello: clientHello, + c: c, + clientHello: clientHello, + handshakeTimings: createTLS13ServerHandshakeTimingInfo(c.config.Time), } return hs.handshake() } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 37250b328b3..dbba7ea9757 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -22,6 +22,51 @@ import ( // messages cause too much work in session ticket decryption attempts. const maxClientPSKIdentities = 5 +// EXP_EventTLS13ServerHandshakeTimingInfo carries intra-stack time durations +// for TLS 1.3 state machine changes. It can be used for tracking metrics during a +// connection. Some durations may be sensitive, such as the amount of time to +// process a particular handshake message, so this event should only be used +// for experimental purposes. +// +// NOTE: This API is EXPERIMENTAL and subject to change. +type EXP_EventTLS13ServerHandshakeTimingInfo struct { + timer func() time.Time + start time.Time + ProcessClientHello time.Duration + WriteServerHello time.Duration + WriteEncryptedExtensions time.Duration + WriteCertificate time.Duration + WriteCertificateVerify time.Duration + WriteServerFinished time.Duration + ReadCertificate time.Duration + ReadCertificateVerify time.Duration + ReadClientFinished time.Duration +} + +// Name is required by the EXP_Event interface. +func (e EXP_EventTLS13ServerHandshakeTimingInfo) Name() string { + return "TLS13ServerHandshakeTimingInfo" +} + +func (e EXP_EventTLS13ServerHandshakeTimingInfo) elapsedTime() time.Duration { + if e.timer == nil { + return 0 + } + return e.timer().Sub(e.start) +} + +func createTLS13ServerHandshakeTimingInfo(timerFunc func() time.Time) EXP_EventTLS13ServerHandshakeTimingInfo { + timer := time.Now + if timerFunc != nil { + timer = timerFunc + } + + return EXP_EventTLS13ServerHandshakeTimingInfo{ + timer: timer, + start: timer(), + } +} + type serverHandshakeStateTLS13 struct { c *Conn clientHello *clientHelloMsg @@ -38,6 +83,8 @@ type serverHandshakeStateTLS13 struct { trafficSecret []byte // client_application_traffic_secret_0 transcript hash.Hash clientFinished []byte + + handshakeTimings EXP_EventTLS13ServerHandshakeTimingInfo } func (hs *serverHandshakeStateTLS13) handshake() error { @@ -76,6 +123,7 @@ func (hs *serverHandshakeStateTLS13) handshake() error { return err } + c.handleEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -261,6 +309,9 @@ GroupSelection: } c.serverName = hs.clientHello.serverName + + hs.handshakeTimings.ProcessClientHello = hs.handshakeTimings.elapsedTime() + return nil } @@ -577,6 +628,8 @@ func (hs *serverHandshakeStateTLS13) sendServerParameters() error { return err } + hs.handshakeTimings.WriteServerHello = hs.handshakeTimings.elapsedTime() + if err := hs.sendDummyChangeCipherSpec(); err != nil { return err } @@ -624,6 +677,8 @@ func (hs *serverHandshakeStateTLS13) sendServerParameters() error { return err } + hs.handshakeTimings.WriteEncryptedExtensions = hs.handshakeTimings.elapsedTime() + return nil } @@ -666,6 +721,8 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { return err } + hs.handshakeTimings.WriteCertificate = hs.handshakeTimings.elapsedTime() + certVerifyMsg := new(certificateVerifyMsg) certVerifyMsg.hasSignatureAlgorithm = true certVerifyMsg.signatureAlgorithm = hs.sigAlg @@ -698,6 +755,8 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { return err } + hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() + return nil } @@ -713,6 +772,8 @@ func (hs *serverHandshakeStateTLS13) sendServerFinished() error { return err } + hs.handshakeTimings.WriteServerFinished = hs.handshakeTimings.elapsedTime() + // Derive secrets that take context through the server Finished. hs.masterSecret = hs.suite.extract(nil, @@ -850,6 +911,8 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { } } + hs.handshakeTimings.ReadCertificate = hs.handshakeTimings.elapsedTime() + if len(certMsg.certificate.Certificate) != 0 { msg, err = c.readHandshake() if err != nil { @@ -885,6 +948,8 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { hs.transcript.Write(certVerify.marshal()) } + hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() + // If we waited until the client certificates to send session tickets, we // are ready to do it now. if err := hs.sendSessionTickets(); err != nil { @@ -913,6 +978,8 @@ func (hs *serverHandshakeStateTLS13) readClientFinished() error { return errors.New("tls: invalid client finished hash") } + hs.handshakeTimings.ReadClientFinished = hs.handshakeTimings.elapsedTime() + c.in.setTrafficSecret(hs.suite, hs.trafficSecret) return nil diff --git a/src/crypto/tls/metrics_test.go b/src/crypto/tls/metrics_test.go new file mode 100644 index 00000000000..7cd45337595 --- /dev/null +++ b/src/crypto/tls/metrics_test.go @@ -0,0 +1,132 @@ +// Copyright 2020 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + +package tls + +import ( + "crypto/x509" + "fmt" + "io" + "io/ioutil" + "testing" + "time" +) + +type testTimingInfo struct { + serverTimingInfo EXP_EventTLS13ServerHandshakeTimingInfo + clientTimingInfo EXP_EventTLS13ClientHandshakeTimingInfo +} + +func (t testTimingInfo) isMonotonicallyIncreasing() bool { + serverIsMonotonicallyIncreasing := + t.serverTimingInfo.ProcessClientHello < t.serverTimingInfo.WriteServerHello && + t.serverTimingInfo.WriteServerHello < t.serverTimingInfo.WriteEncryptedExtensions && + t.serverTimingInfo.WriteEncryptedExtensions < t.serverTimingInfo.WriteCertificate && + t.serverTimingInfo.WriteCertificate < t.serverTimingInfo.WriteCertificateVerify && + t.serverTimingInfo.WriteCertificateVerify < t.serverTimingInfo.WriteServerFinished && + t.serverTimingInfo.WriteServerFinished < t.serverTimingInfo.ReadCertificate && + t.serverTimingInfo.ReadCertificate < t.serverTimingInfo.ReadCertificateVerify && + t.serverTimingInfo.ReadCertificateVerify < t.serverTimingInfo.ReadClientFinished + + clientIsMonotonicallyIncreasing := + t.clientTimingInfo.WriteClientHello < t.clientTimingInfo.ProcessServerHello && + t.clientTimingInfo.ProcessServerHello < t.clientTimingInfo.ReadEncryptedExtensions && + t.clientTimingInfo.ReadEncryptedExtensions < t.clientTimingInfo.ReadCertificate && + t.clientTimingInfo.ReadCertificate < t.clientTimingInfo.ReadCertificateVerify && + t.clientTimingInfo.ReadCertificateVerify < t.clientTimingInfo.ReadServerFinished && + t.clientTimingInfo.ReadServerFinished < t.clientTimingInfo.WriteCertificate && + t.clientTimingInfo.WriteCertificate < t.clientTimingInfo.WriteCertificateVerify && + t.clientTimingInfo.WriteCertificateVerify < t.clientTimingInfo.WriteClientFinished + + return (serverIsMonotonicallyIncreasing && clientIsMonotonicallyIncreasing) +} + +func (r *testTimingInfo) eventHandler(event EXP_Event) { + switch e := event.(type) { + case EXP_EventTLS13ServerHandshakeTimingInfo: + r.serverTimingInfo = e + case EXP_EventTLS13ClientHandshakeTimingInfo: + r.clientTimingInfo = e + } +} + +func runHandshake(t *testing.T, clientConfig, serverConfig *Config) (timingState testTimingInfo, err error) { + const sentinel = "SENTINEL\n" + c, s := localPipe(t) + errChan := make(chan error) + + clientConfig.EXP_EventHandler = timingState.eventHandler + serverConfig.EXP_EventHandler = timingState.eventHandler + + go func() { + cli := Client(c, clientConfig) + err := cli.Handshake() + if err != nil { + errChan <- fmt.Errorf("client: %v", err) + c.Close() + return + } + defer cli.Close() + buf, err := ioutil.ReadAll(cli) + if err != nil { + t.Errorf("failed to call cli.Read: %v", err) + } + if got := string(buf); got != sentinel { + t.Errorf("read %q from TLS connection, but expected %q", got, sentinel) + } + errChan <- nil + }() + + server := Server(s, serverConfig) + err = server.Handshake() + if err == nil { + if _, err := io.WriteString(server, sentinel); err != nil { + t.Errorf("failed to call server.Write: %v", err) + } + if err := server.Close(); err != nil { + t.Errorf("failed to call server.Close: %v", err) + } + err = <-errChan + } else { + s.Close() + <-errChan + } + + return +} + +func TestTLS13HandshakeTiming(t *testing.T) { + issuer, err := x509.ParseCertificate(testRSACertificateIssuer) + if err != nil { + panic(err) + } + rootCAs := x509.NewCertPool() + rootCAs.AddCert(issuer) + + const serverName = "example.golang" + + baseConfig := &Config{ + Time: time.Now, + Rand: zeroSource{}, + Certificates: make([]Certificate, 1), + MaxVersion: VersionTLS13, + RootCAs: rootCAs, + ClientCAs: rootCAs, + ClientAuth: RequireAndVerifyClientCert, + ServerName: serverName, + } + baseConfig.Certificates[0].Certificate = [][]byte{testRSACertificate} + baseConfig.Certificates[0].PrivateKey = testRSAPrivateKey + + clientConfig := baseConfig.Clone() + serverConfig := baseConfig.Clone() + + ts, err := runHandshake(t, clientConfig, serverConfig) + if err != nil { + t.Fatalf("Handshake failed: %v", err) + } + + if !ts.isMonotonicallyIncreasing() { + t.Fatalf("Timing information is not monotonic") + } +} From 74408493b38574131e1f7aa0aacb415133774f7b Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Wed, 16 Dec 2020 15:39:26 -0800 Subject: [PATCH 12/69] crypto/tls: Fix the testingTriggerHRR condition The server sends an HRR if the client does not offer a key share for a key exchange algorithm the server doesn't support. For testing purposes, it's useful to trigger this codepath manually. If testingTriggerHRR is set, then the server only advertises support for algorithms that the client supports, but did not provide a key share for. This change fixes a bug in the trigger logic. It seemed to work for the existing algorithm preferences, but could break if the preferences change. --- src/crypto/tls/handshake_server_tls13.go | 17 ++++++++++------- 1 file changed, 10 insertions(+), 7 deletions(-) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index dbba7ea9757..21c430360a6 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -239,18 +239,21 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { // intentionally, we compute the set of ECDHE groups supported by both // the client and server but for which the client did not offer a key // share. - supportedCurves = make([]CurveID, 0) + m := make(map[CurveID]bool) for _, serverGroup := range c.config.curvePreferences() { for _, clientGroup := range hs.clientHello.supportedCurves { - if serverGroup == clientGroup { - for _, ks := range hs.clientHello.keyShares { - if serverGroup != ks.group { - supportedCurves = append(supportedCurves, serverGroup) - } - } + if clientGroup == serverGroup { + m[clientGroup] = true } } } + for _, ks := range hs.clientHello.keyShares { + delete(m, ks.group) + } + supportedCurves = nil + for group := range m { + supportedCurves = append(supportedCurves, group) + } if len(supportedCurves) == 0 { // This occurs if the client offered a key share for each mutually // supported group. From f14336e257d3e61a13b74780ccb91932568a9294 Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Mon, 14 Dec 2020 14:31:09 -0800 Subject: [PATCH 13/69] circl: Update to be899c60a098f3946df5e31f11250a6ffa93cd90 This adds an implementation of HPKE-07, which is required for ECH-09. --- src/circl/README.md | 2 + src/circl/hpke/aead.go | 98 ++++++ src/circl/hpke/aead_test.go | 132 ++++++++ src/circl/hpke/algs.go | 263 ++++++++++++++++ src/circl/hpke/hpke.go | 294 +++++++++++++++++ src/circl/hpke/hpke_test.go | 63 ++++ src/circl/hpke/kembase.go | 238 ++++++++++++++ src/circl/hpke/marshal.go | 151 +++++++++ src/circl/hpke/marshal_test.go | 84 +++++ src/circl/hpke/shortkem.go | 158 ++++++++++ src/circl/hpke/testdata/vectors_v07.json | 1 + src/circl/hpke/util.go | 118 +++++++ src/circl/hpke/vectors_test.go | 235 ++++++++++++++ src/circl/hpke/xkem.go | 154 +++++++++ src/circl/internal/test/test.go | 6 +- src/circl/kem/hybrid/hybrid.go | 296 ++++++++++++++++++ src/circl/kem/kem.go | 24 +- src/circl/kem/kyber/kat_test.go | 2 +- src/circl/kem/kyber/kyber1024/kyber.go | 24 +- src/circl/kem/kyber/kyber512/kyber.go | 24 +- src/circl/kem/kyber/kyber768/kyber.go | 24 +- src/circl/kem/kyber/templates/pkg.templ.go | 24 +- src/circl/kem/schemes/schemes.go | 18 ++ src/circl/kem/schemes/schemes_test.go | 32 +- src/circl/kem/sike/sikep434/sike.go | 45 +-- src/circl/kem/sike/sikep503/sike.go | 45 +-- src/circl/kem/sike/sikep751/sike.go | 45 +-- src/circl/kem/sike/templates/pkg.templ.go | 45 +-- src/circl/simd/keccakf1600/f1600x.go | 146 +++++++++ src/circl/simd/keccakf1600/f1600x2_arm64.go | 12 + src/circl/simd/keccakf1600/f1600x2_arm64.s | 130 ++++++++ src/circl/simd/keccakf1600/f1600x4.go | 84 ----- src/circl/simd/keccakf1600/f1600x4_amd64.go | 4 +- .../{f1600x4_test.go => f1600x_test.go} | 45 ++- src/circl/simd/keccakf1600/fallback.go | 6 +- 35 files changed, 2854 insertions(+), 218 deletions(-) create mode 100644 src/circl/hpke/aead.go create mode 100644 src/circl/hpke/aead_test.go create mode 100644 src/circl/hpke/algs.go create mode 100644 src/circl/hpke/hpke.go create mode 100644 src/circl/hpke/hpke_test.go create mode 100644 src/circl/hpke/kembase.go create mode 100644 src/circl/hpke/marshal.go create mode 100644 src/circl/hpke/marshal_test.go create mode 100644 src/circl/hpke/shortkem.go create mode 100644 src/circl/hpke/testdata/vectors_v07.json create mode 100644 src/circl/hpke/util.go create mode 100644 src/circl/hpke/vectors_test.go create mode 100644 src/circl/hpke/xkem.go create mode 100644 src/circl/kem/hybrid/hybrid.go create mode 100644 src/circl/simd/keccakf1600/f1600x.go create mode 100644 src/circl/simd/keccakf1600/f1600x2_arm64.go create mode 100644 src/circl/simd/keccakf1600/f1600x2_arm64.s delete mode 100644 src/circl/simd/keccakf1600/f1600x4.go rename src/circl/simd/keccakf1600/{f1600x4_test.go => f1600x_test.go} (57%) diff --git a/src/circl/README.md b/src/circl/README.md index 329ca64f086..7526207a325 100644 --- a/src/circl/README.md +++ b/src/circl/README.md @@ -39,6 +39,8 @@ Version numbers are [Semvers](https://semver.org/). We release a minor version f | Key Exchange | FourQ | One of the fastest elliptic curves at 128-bit security level. | Experimental for key agreement and digital signatures. | | Key Exchange / Digital signatures | P-384 | Our optimizations reduce the burden when moving from P-256 to P-384. | ECDSA and ECDH using Suite B at top secret level. | | Digital Signatures | Ed25519, Ed448 | RFC-8032 provides new signature schemes based on Edwards curves. | Digital certificates and authentication. | +| Key Encapsulation | P-256, P-384, P-521, X25519 and X448 | Key encapsulation methods based on Diffie-Hellman. | HPKE | +| Hybrid Public-Key Encryption | Base, Auth, PSK, AuthPSK | [HPKE](https://www.ietf.org/archive/id/draft-irtf-cfrg-hpke-07.html) is a combination of KEM and AEAD. | TLS | | PQ KEM/PKE | Kyber | Lattice (M-LWE) based IND-CCA2 secure key encapsulation mechanism and IND-CPA secure public key encryption | Post-Quantum Key exchange | | PQ Digital Signatures | Dilithium, Hybrid modes | Lattice (Module LWE) based signature scheme | Post-Quantum PKI | diff --git a/src/circl/hpke/aead.go b/src/circl/hpke/aead.go new file mode 100644 index 00000000000..72264c44cce --- /dev/null +++ b/src/circl/hpke/aead.go @@ -0,0 +1,98 @@ +package hpke + +import ( + "crypto/cipher" + "fmt" +) + +type encdecContext struct { + // Serialized parameters + suite Suite + exporterSecret []byte + key []byte + baseNonce []byte + sequenceNumber []byte + + // Operational parameters + cipher.AEAD + nonce []byte +} + +type sealContext struct{ *encdecContext } +type openContext struct{ *encdecContext } + +// Export takes a context string exporterContext and a desired length (in +// bytes), and produces a secret derived from the internal exporter secret +// using the corresponding KDF Expand function. It panics if length is +// greater than 255*N bytes, where N is the size (in bytes) of the KDF's +// output. +func (c *encdecContext) Export(exporterContext []byte, length uint) []byte { + maxLength := uint(255 * c.suite.kdfID.ExtractSize()) + if length > maxLength { + panic(fmt.Errorf("output length must be lesser than %v bytes", maxLength)) + } + return c.suite.labeledExpand(c.exporterSecret, []byte("sec"), + exporterContext, uint16(length)) +} + +func (c *encdecContext) Suite() Suite { + return c.suite +} + +func (c *encdecContext) calcNonce() []byte { + for i := range c.baseNonce { + c.nonce[i] = c.baseNonce[i] ^ c.sequenceNumber[i] + } + return c.nonce +} + +func (c *encdecContext) increment() error { + // tests whether the sequence number is all-ones, which prevents an + // overflow after the increment. + allOnes := byte(0xFF) + for i := range c.sequenceNumber { + allOnes &= c.sequenceNumber[i] + } + if allOnes == byte(0xFF) { + return errAEADSeqOverflows + } + + // performs an increment by 1 and verifies whether the sequence overflows. + carry := uint(1) + for i := len(c.sequenceNumber) - 1; i >= 0; i-- { + sum := uint(c.sequenceNumber[i]) + carry + carry = sum >> 8 + c.sequenceNumber[i] = byte(sum & 0xFF) + } + if carry != 0 { + return errAEADSeqOverflows + } + return nil +} + +func (c *sealContext) Seal(pt, aad []byte) ([]byte, error) { + ct := c.AEAD.Seal(nil, c.calcNonce(), pt, aad) + err := c.increment() + if err != nil { + for i := range ct { + ct[i] = 0 + } + return nil, err + } + return ct, nil +} + +func (c *openContext) Open(ct, aad []byte) ([]byte, error) { + pt, err := c.AEAD.Open(nil, c.calcNonce(), ct, aad) + if err != nil { + return nil, err + } + err = c.increment() + if err != nil { + for i := range pt { + pt[i] = 0 + } + return nil, err + } + return pt, nil +} diff --git a/src/circl/hpke/aead_test.go b/src/circl/hpke/aead_test.go new file mode 100644 index 00000000000..13fe76297b0 --- /dev/null +++ b/src/circl/hpke/aead_test.go @@ -0,0 +1,132 @@ +package hpke + +import ( + "bytes" + "crypto/rand" + "fmt" + "testing" + + "circl/internal/test" +) + +func TestAeadExporter(t *testing.T) { + suite := Suite{kdfID: KDF_HKDF_SHA256, aeadID: AEAD_AES128GCM} + exporter := &encdecContext{suite: suite} + maxLength := uint(255 * suite.kdfID.ExtractSize()) + + err := test.CheckPanic(func() { + exporter.Export([]byte("exporter"), maxLength+1) + }) + test.CheckNoErr(t, err, "exporter max size") +} + +func setupAeadTest() (*sealContext, *openContext, error) { + suite := Suite{aeadID: AEAD_AES128GCM} + key := make([]byte, suite.aeadID.KeySize()) + if n, err := rand.Read(key); err != nil { + return nil, nil, err + } else if n != len(key) { + return nil, nil, fmt.Errorf("unexpected key size: got %d; want %d", n, len(key)) + } + + aead, err := suite.aeadID.New(key) + if err != nil { + return nil, nil, err + } + + Nn := aead.NonceSize() + baseNonce := make([]byte, Nn) + if n, err := rand.Read(baseNonce); err != nil { + return nil, nil, err + } else if n != len(baseNonce) { + return nil, nil, fmt.Errorf("unexpected base nonce size: got %d; want %d", n, len(baseNonce)) + } + + sealer := &sealContext{&encdecContext{ + suite, nil, nil, baseNonce, make([]byte, Nn), aead, make([]byte, Nn)}, + } + opener := &openContext{&encdecContext{ + suite, nil, nil, baseNonce, make([]byte, Nn), aead, make([]byte, Nn)}, + } + return sealer, opener, nil +} + +func TestAeadNonceUpdate(t *testing.T) { + sealer, opener, err := setupAeadTest() + test.CheckNoErr(t, err, "setup failed") + + pt := []byte("plaintext") + aad := []byte("aad") + + numAttempts := 2 + var prevCt []byte + for i := 0; i < numAttempts; i++ { + ct, err := sealer.Seal(pt, aad) + if err != nil { + t.Fatalf("encryption failed: %s", err) + } + + if prevCt != nil && bytes.Equal(ct, prevCt) { + t.Error("ciphertext matches the previous (nonce not updated)") + } + + _, err = opener.Open(ct, aad) + if err != nil { + t.Errorf("decryption failed: %s", err) + } + + prevCt = ct + } +} + +func TestAeadSeqOverflow(t *testing.T) { + sealer, opener, err := setupAeadTest() + test.CheckNoErr(t, err, "setup failed") + + Nn := len(sealer.baseNonce) + pt := []byte("plaintext") + aad := []byte("aad") + + // Sets sequence number to 256 before its max value = 0xFF...FF. + for i := 0; i < Nn; i++ { + sealer.sequenceNumber[i] = 0xFF + opener.sequenceNumber[i] = 0xFF + } + sealer.sequenceNumber[Nn-1] = 0x00 + opener.sequenceNumber[Nn-1] = 0x00 + + numAttempts := 260 + wantCorrect := 2 * 255 + wantIncorrect := 2*numAttempts - wantCorrect + gotCorrect := 0 + gotIncorrect := 0 + + for i := 0; i < numAttempts; i++ { + ct, err := sealer.Seal(pt, aad) + switch true { + case ct != nil && err == nil: + gotCorrect++ + case ct == nil && err != nil: + gotIncorrect++ + default: + t.FailNow() + } + + pt2, err := opener.Open(ct, aad) + switch true { + case pt2 != nil && err == nil: + gotCorrect++ + case pt2 == nil && err != nil: + gotIncorrect++ + default: + t.FailNow() + } + } + + if gotCorrect != wantCorrect { + test.ReportError(t, gotCorrect, wantCorrect) + } + if gotIncorrect != wantIncorrect { + test.ReportError(t, gotIncorrect, wantIncorrect) + } +} diff --git a/src/circl/hpke/algs.go b/src/circl/hpke/algs.go new file mode 100644 index 00000000000..1e106ede781 --- /dev/null +++ b/src/circl/hpke/algs.go @@ -0,0 +1,263 @@ +package hpke + +import ( + "crypto" + "crypto/aes" + "crypto/cipher" + "crypto/elliptic" + "fmt" + "hash" + "io" + + "circl/dh/x25519" + "circl/dh/x448" + "circl/ecc/p384" + "circl/kem" + "golang.org/x/crypto/chacha20poly1305" + "golang.org/x/crypto/hkdf" +) + +type KEM uint16 + +//nolint:golint,stylecheck +const ( + // KEM_P256_HKDF_SHA256 is a KEM using P256 curve and HKDF with SHA-256. + KEM_P256_HKDF_SHA256 KEM = 0x10 + // KEM_P384_HKDF_SHA384 is a KEM using P384 curve and HKDF with SHA-384. + KEM_P384_HKDF_SHA384 KEM = 0x11 + // KEM_P521_HKDF_SHA512 is a KEM using P521 curve and HKDF with SHA-512. + KEM_P521_HKDF_SHA512 KEM = 0x12 + // KEM_X25519_HKDF_SHA256 is a KEM using X25519 Diffie-Hellman function + // and HKDF with SHA-256. + KEM_X25519_HKDF_SHA256 KEM = 0x20 + // KEM_X448_HKDF_SHA512 is a KEM using X448 Diffie-Hellman function and + // HKDF with SHA-512. + KEM_X448_HKDF_SHA512 KEM = 0x21 +) + +// IsValid returns true if the KEM identifier is supported by the HPKE package. +func (k KEM) IsValid() bool { + switch k { + case KEM_P256_HKDF_SHA256, + KEM_P384_HKDF_SHA384, + KEM_P521_HKDF_SHA512, + KEM_X25519_HKDF_SHA256, + KEM_X448_HKDF_SHA512: + return true + default: + return false + } +} + +// Scheme returns an instance of a KEM that supports authentication. Panics if +// the KEM identifier is invalid. +func (k KEM) Scheme() kem.AuthScheme { + switch k { + case KEM_P256_HKDF_SHA256: + return dhkemp256hkdfsha256 + case KEM_P384_HKDF_SHA384: + return dhkemp384hkdfsha384 + case KEM_P521_HKDF_SHA512: + return dhkemp521hkdfsha512 + case KEM_X25519_HKDF_SHA256: + return dhkemx25519hkdfsha256 + case KEM_X448_HKDF_SHA512: + return dhkemx448hkdfsha512 + default: + panic(errInvalidKEM) + } +} + +func (k KEM) validatePublicKey(pk kem.PublicKey) bool { + switch k { + case KEM_P256_HKDF_SHA256, KEM_P384_HKDF_SHA384, KEM_P521_HKDF_SHA512: + pub, ok := pk.(*shortKEMPubKey) + return ok && k == pub.scheme.id && pub.Validate() + case KEM_X25519_HKDF_SHA256, KEM_X448_HKDF_SHA512: + pub, ok := pk.(*xKEMPubKey) + return ok && k == pub.scheme.id && pub.Validate() + default: + panic(errInvalidKEM) + } +} + +func (k KEM) validatePrivateKey(sk kem.PrivateKey) bool { + switch k { + case KEM_P256_HKDF_SHA256, KEM_P384_HKDF_SHA384, KEM_P521_HKDF_SHA512: + priv, ok := sk.(*shortKEMPrivKey) + return ok && k == priv.scheme.id && priv.Validate() + case KEM_X25519_HKDF_SHA256, KEM_X448_HKDF_SHA512: + priv, ok := sk.(*xKEMPrivKey) + return ok && k == priv.scheme.id && priv.Validate() + default: + panic(errInvalidKEM) + } +} + +type KDF uint16 + +//nolint:golint,stylecheck +const ( + // KDF_HKDF_SHA256 is a KDF using HKDF with SHA-256. + KDF_HKDF_SHA256 KDF = 0x01 + // KDF_HKDF_SHA384 is a KDF using HKDF with SHA-384. + KDF_HKDF_SHA384 KDF = 0x02 + // KDF_HKDF_SHA512 is a KDF using HKDF with SHA-512. + KDF_HKDF_SHA512 KDF = 0x03 +) + +func (k KDF) IsValid() bool { + switch k { + case KDF_HKDF_SHA256, + KDF_HKDF_SHA384, + KDF_HKDF_SHA512: + return true + default: + return false + } +} + +// ExtractSize returns the size (in bytes) of the pseudorandom key produced +// by KDF.Extract. +func (k KDF) ExtractSize() int { + switch k { + case KDF_HKDF_SHA256: + return crypto.SHA256.Size() + case KDF_HKDF_SHA384: + return crypto.SHA384.Size() + case KDF_HKDF_SHA512: + return crypto.SHA512.Size() + default: + panic(errInvalidKDF) + } +} + +// Extract derives a pseudorandom key from a high-entropy, secret input and a +// salt. The size of the output is determined by KDF.ExtractSize. +func (k KDF) Extract(secret, salt []byte) (pseudorandomKey []byte) { + return hkdf.Extract(k.hash(), secret, salt) +} + +// Expand derives a variable length pseudorandom string from a pseudorandom key +// and an information string. Panics if the pseudorandom key is less +// than N bytes, or if the output length is greater than 255*N bytes, +// where N is the size returned by KDF.Extract function. +func (k KDF) Expand(pseudorandomKey, info []byte, outputLen uint) []byte { + extractSize := k.ExtractSize() + if len(pseudorandomKey) < extractSize { + panic(fmt.Errorf("pseudorandom key must be %v bytes", extractSize)) + } + maxLength := uint(255 * extractSize) + if outputLen > maxLength { + panic(fmt.Errorf("output length must be less than %v bytes", maxLength)) + } + output := make([]byte, outputLen) + rd := hkdf.Expand(k.hash(), pseudorandomKey[:extractSize], info) + _, err := io.ReadFull(rd, output) + if err != nil { + panic(err) + } + return output +} + +func (k KDF) hash() func() hash.Hash { + switch k { + case KDF_HKDF_SHA256: + return crypto.SHA256.New + case KDF_HKDF_SHA384: + return crypto.SHA384.New + case KDF_HKDF_SHA512: + return crypto.SHA512.New + default: + panic(errInvalidKDF) + } +} + +type AEAD uint16 + +//nolint:golint,stylecheck +const ( + // AEAD_AES128GCM is AES-128 block cipher in Galois Counter Mode (GCM). + AEAD_AES128GCM AEAD = 0x01 + // AEAD_AES256GCM is AES-256 block cipher in Galois Counter Mode (GCM). + AEAD_AES256GCM AEAD = 0x02 + // AEAD_ChaCha20Poly1305 is ChaCha20 stream cipher and Poly1305 MAC. + AEAD_ChaCha20Poly1305 AEAD = 0x03 +) + +// New instantiates an AEAD cipher from the identifier, returns an error if the +// identifier is not known. +func (a AEAD) New(key []byte) (cipher.AEAD, error) { + switch a { + case AEAD_AES128GCM, AEAD_AES256GCM: + block, err := aes.NewCipher(key) + if err != nil { + return nil, err + } + return cipher.NewGCM(block) + case AEAD_ChaCha20Poly1305: + return chacha20poly1305.New(key) + default: + panic(errInvalidAEAD) + } +} + +func (a AEAD) IsValid() bool { + switch a { + case AEAD_AES128GCM, + AEAD_AES256GCM, + AEAD_ChaCha20Poly1305: + return true + default: + return false + } +} + +// KeySize returns the size in bytes of the keys used by AEAD cipher. +func (a AEAD) KeySize() uint { + switch a { + case AEAD_AES128GCM: + return 16 + case AEAD_AES256GCM: + return 32 + case AEAD_ChaCha20Poly1305: + return chacha20poly1305.KeySize + default: + panic(errInvalidAEAD) + } +} + +var dhkemp256hkdfsha256, dhkemp384hkdfsha384, dhkemp521hkdfsha512 shortKEM +var dhkemx25519hkdfsha256, dhkemx448hkdfsha512 xKEM + +func init() { + dhkemp256hkdfsha256.Curve = elliptic.P256() + dhkemp256hkdfsha256.kemBase.id = KEM_P256_HKDF_SHA256 + dhkemp256hkdfsha256.kemBase.name = "HPKE_KEM_P256_HKDF_SHA256" + dhkemp256hkdfsha256.kemBase.Hash = crypto.SHA256 + dhkemp256hkdfsha256.kemBase.dhKEM = dhkemp256hkdfsha256 + + dhkemp384hkdfsha384.Curve = p384.P384() + dhkemp384hkdfsha384.kemBase.id = KEM_P384_HKDF_SHA384 + dhkemp384hkdfsha384.kemBase.name = "HPKE_KEM_P384_HKDF_SHA384" + dhkemp384hkdfsha384.kemBase.Hash = crypto.SHA384 + dhkemp384hkdfsha384.kemBase.dhKEM = dhkemp384hkdfsha384 + + dhkemp521hkdfsha512.Curve = elliptic.P521() + dhkemp521hkdfsha512.kemBase.id = KEM_P521_HKDF_SHA512 + dhkemp521hkdfsha512.kemBase.name = "HPKE_KEM_P521_HKDF_SHA512" + dhkemp521hkdfsha512.kemBase.Hash = crypto.SHA512 + dhkemp521hkdfsha512.kemBase.dhKEM = dhkemp521hkdfsha512 + + dhkemx25519hkdfsha256.size = x25519.Size + dhkemx25519hkdfsha256.kemBase.id = KEM_X25519_HKDF_SHA256 + dhkemx25519hkdfsha256.kemBase.name = "HPKE_KEM_X25519_HKDF_SHA256" + dhkemx25519hkdfsha256.kemBase.Hash = crypto.SHA256 + dhkemx25519hkdfsha256.kemBase.dhKEM = dhkemx25519hkdfsha256 + + dhkemx448hkdfsha512.size = x448.Size + dhkemx448hkdfsha512.kemBase.id = KEM_X448_HKDF_SHA512 + dhkemx448hkdfsha512.kemBase.name = "HPKE_KEM_X448_HKDF_SHA512" + dhkemx448hkdfsha512.kemBase.Hash = crypto.SHA512 + dhkemx448hkdfsha512.kemBase.dhKEM = dhkemx448hkdfsha512 +} diff --git a/src/circl/hpke/hpke.go b/src/circl/hpke/hpke.go new file mode 100644 index 00000000000..10d2e4ddf08 --- /dev/null +++ b/src/circl/hpke/hpke.go @@ -0,0 +1,294 @@ +// Package hpke implements the Hybrid Public Key Encryption (HPKE) standard +// specified by draft-irtf-cfrg-hpke-07. +// +// HPKE works for any combination of a public-key encapsulation mechanism +// (KEM), a key derivation function (KDF), and an authenticated encryption +// scheme with additional data (AEAD). +// +// Specification in +// https://datatracker.ietf.org/doc/draft-irtf-cfrg-hpke +// +// BUG(cjpatton): This package does not implement the "Export-Only" mode of the +// HPKE context. In particular, it does not recognize the AEAD codepoint +// reserved for this purpose (0xFFFF). +package hpke + +import ( + "crypto/rand" + "encoding" + "errors" + "io" + + "circl/kem" +) + +const versionLabel = "HPKE-07" + +// Context defines the capabilities of an HPKE context. +type Context interface { + encoding.BinaryMarshaler + // Export takes a context string exporterContext and a desired length (in + // bytes), and produces a secret derived from the internal exporter secret + // using the corresponding KDF Expand function. It panics if length is + // greater than 255*N bytes, where N is the size (in bytes) of the KDF's + // output. + Export(exporterContext []byte, length uint) []byte + // Suite returns the cipher suite corresponding to this context. + Suite() Suite +} + +// Sealer encrypts a plaintext using an AEAD encryption. +type Sealer interface { + Context + // Seal takes a plaintext and associated data to produce a ciphertext. + // The nonce is handled by the Sealer and incremented after each call. + Seal(pt, aad []byte) (ct []byte, err error) +} + +// Opener decrypts a ciphertext using an AEAD encryption. +type Opener interface { + Context + // Open takes a ciphertext and associated data to recover, if successful, + // the plaintext. The nonce is handled by the Opener and incremented after + // each call. + Open(ct, aad []byte) (pt []byte, err error) +} + +// modeID represents an HPKE variant. +type modeID = uint8 + +const ( + // modeBase to enable encryption to the holder of a given KEM private key. + modeBase modeID = 0x00 + // modePSK extends the base mode by allowing the Receiver to authenticate + // that the sender possessed a given pre-shared key (PSK). + modePSK modeID = 0x01 + // modeAuth extends the base mode by allowing the Receiver to authenticate + // that the sender possessed a given KEM private key. + modeAuth modeID = 0x02 + // modeAuthPSK provides a combination of the PSK and Auth modes. + modeAuthPSK modeID = 0x03 +) + +// Suite is an HPKE cipher suite consisting of a KEM, KDF, and AEAD algorithm. +type Suite struct { + kemID KEM + kdfID KDF + aeadID AEAD +} + +// NewSuite builds a Suite from a specified set of algorithms. Panics +// if an algorithm identifier is not valid. +func NewSuite(kemID KEM, kdfID KDF, aeadID AEAD) Suite { + s := Suite{kemID, kdfID, aeadID} + if !s.isValid() { + panic(errInvalidHPKESuite) + } + return s +} + +type state struct { + Suite + modeID modeID + skS kem.PrivateKey + pkS kem.PublicKey + psk []byte + pskID []byte + info []byte +} + +// Sender performs hybrid public-key encryption. +type Sender struct { + state + pkR kem.PublicKey +} + +// NewSender creates a Sender with knowledge of the receiver's public-key. +func (suite Suite) NewSender(pkR kem.PublicKey, info []byte) (*Sender, error) { + if !suite.kemID.validatePublicKey(pkR) { + return nil, errInvalidKEMPublicKey + } + + return &Sender{ + state: state{Suite: suite, info: info}, + pkR: pkR, + }, nil +} + +// Setup generates a new HPKE context used for Base Mode encryption. +// Returns the Sealer and corresponding encapsulated key. +func (s *Sender) Setup(rnd io.Reader) (enc []byte, seal Sealer, err error) { + s.modeID = modeBase + return s.allSetup(rnd) +} + +// SetupAuth generates a new HPKE context used for Auth Mode encryption. +// Returns the Sealer and corresponding encapsulated key. +func (s *Sender) SetupAuth(rnd io.Reader, skS kem.PrivateKey) ( + enc []byte, seal Sealer, err error, +) { + if !s.kemID.validatePrivateKey(skS) { + return nil, nil, errInvalidKEMPrivateKey + } + + s.modeID = modeAuth + s.state.skS = skS + return s.allSetup(rnd) +} + +// SetupPSK generates a new HPKE context used for PSK Mode encryption. +// Returns the Sealer and corresponding encapsulated key. +func (s *Sender) SetupPSK(rnd io.Reader, psk, pskID []byte) ( + enc []byte, seal Sealer, err error, +) { + s.modeID = modePSK + s.state.psk = psk + s.state.pskID = pskID + return s.allSetup(rnd) +} + +// SetupAuthPSK generates a new HPKE context used for Auth-PSK Mode encryption. +// Returns the Sealer and corresponding encapsulated key. +func (s *Sender) SetupAuthPSK(rnd io.Reader, skS kem.PrivateKey, psk, pskID []byte) ( + enc []byte, seal Sealer, err error, +) { + if !s.kemID.validatePrivateKey(skS) { + return nil, nil, errInvalidKEMPrivateKey + } + + s.modeID = modeAuthPSK + s.state.skS = skS + s.state.psk = psk + s.state.pskID = pskID + return s.allSetup(rnd) +} + +// Receiver performs hybrid public-key decryption. +type Receiver struct { + state + skR kem.PrivateKey + enc []byte +} + +// NewReceiver creates a Receiver with knowledge of a private key. +func (suite Suite) NewReceiver(skR kem.PrivateKey, info []byte) ( + *Receiver, error, +) { + if !suite.kemID.validatePrivateKey(skR) { + return nil, errInvalidKEMPrivateKey + } + + return &Receiver{state: state{Suite: suite, info: info}, skR: skR}, nil +} + +// Setup generates a new HPKE context used for Base Mode encryption. +// Setup takes an encapsulated key and returns an Opener. +func (r *Receiver) Setup(enc []byte) (Opener, error) { + r.modeID = modeBase + r.enc = enc + return r.allSetup() +} + +// SetupAuth generates a new HPKE context used for Auth Mode encryption. +// SetupAuth takes an encapsulated key and a public key, and returns an Opener. +func (r *Receiver) SetupAuth(enc []byte, pkS kem.PublicKey) (Opener, error) { + if !r.kemID.validatePublicKey(pkS) { + return nil, errInvalidKEMPublicKey + } + + r.modeID = modeAuth + r.enc = enc + r.state.pkS = pkS + return r.allSetup() +} + +// SetupPSK generates a new HPKE context used for PSK Mode encryption. +// SetupPSK takes an encapsulated key, and a pre-shared key; and returns an +// Opener. +func (r *Receiver) SetupPSK(enc, psk, pskID []byte) (Opener, error) { + r.modeID = modePSK + r.enc = enc + r.state.psk = psk + r.state.pskID = pskID + return r.allSetup() +} + +// SetupAuthPSK generates a new HPKE context used for Auth-PSK Mode encryption. +// SetupAuthPSK takes an encapsulated key, a public key, and a pre-shared key; +// and returns an Opener. +func (r *Receiver) SetupAuthPSK(enc, psk, pskID []byte, pkS kem.PublicKey) ( + Opener, error) { + if !r.kemID.validatePublicKey(pkS) { + return nil, errInvalidKEMPublicKey + } + + r.modeID = modeAuthPSK + r.enc = enc + r.state.psk = psk + r.state.pskID = pskID + r.state.pkS = pkS + return r.allSetup() +} + +func (s *Sender) allSetup(rnd io.Reader) ([]byte, Sealer, error) { + scheme := s.kemID.Scheme() + + if rnd == nil { + rnd = rand.Reader + } + seed := make([]byte, scheme.SeedSize()) + _, err := io.ReadFull(rnd, seed) + if err != nil { + return nil, nil, err + } + + var enc, ss []byte + switch s.modeID { + case modeBase, modePSK: + enc, ss, err = scheme.EncapsulateDeterministically(s.pkR, seed) + case modeAuth, modeAuthPSK: + enc, ss, err = scheme.AuthEncapsulateDeterministically(s.pkR, s.skS, seed) + } + if err != nil { + return nil, nil, err + } + + ctx, err := s.keySchedule(ss, s.info, s.psk, s.pskID) + if err != nil { + return nil, nil, err + } + + return enc, &sealContext{ctx}, nil +} + +func (r *Receiver) allSetup() (Opener, error) { + var err error + var ss []byte + scheme := r.kemID.Scheme() + switch r.modeID { + case modeBase, modePSK: + ss, err = scheme.Decapsulate(r.skR, r.enc) + case modeAuth, modeAuthPSK: + ss, err = scheme.AuthDecapsulate(r.skR, r.enc, r.pkS) + } + if err != nil { + return nil, err + } + + ctx, err := r.keySchedule(ss, r.info, r.psk, r.pskID) + if err != nil { + return nil, err + } + return &openContext{ctx}, nil +} + +var ( + errInvalidHPKESuite = errors.New("hpke: invalid HPKE suite") + errInvalidKDF = errors.New("hpke: invalid KDF identifier") + errInvalidKEM = errors.New("hpke: invalid KEM identifier") + errInvalidAEAD = errors.New("hpke: invalid AEAD identifier") + errInvalidKEMPublicKey = errors.New("hpke: invalid KEM public key") + errInvalidKEMPrivateKey = errors.New("hpke: invalid KEM private key") + errInvalidKEMSharedSecret = errors.New("hpke: invalid KEM shared secret") + errAEADSeqOverflows = errors.New("hpke: AEAD sequence number overflows") +) diff --git a/src/circl/hpke/hpke_test.go b/src/circl/hpke/hpke_test.go new file mode 100644 index 00000000000..7723588d510 --- /dev/null +++ b/src/circl/hpke/hpke_test.go @@ -0,0 +1,63 @@ +package hpke_test + +import ( + "bytes" + "crypto/rand" + "fmt" + + "circl/hpke" +) + +func Example() { + // import "circl/hpke" + // import "crypto/rand" + + // HPKE suite is a domain parameter. + kemID := hpke.KEM_P384_HKDF_SHA384 + kdfID := hpke.KDF_HKDF_SHA384 + aeadID := hpke.AEAD_AES256GCM + suite := hpke.NewSuite(kemID, kdfID, aeadID) + info := []byte("public info string, known to both Alice and Bob") + + // Bob prepares to receive messages and announces his public key. + publicBob, privateBob, err := kemID.Scheme().GenerateKeyPair() + if err != nil { + panic(err) + } + Bob, err := suite.NewReceiver(privateBob, info) + if err != nil { + panic(err) + } + + // Alice gets Bob's public key. + Alice, err := suite.NewSender(publicBob, info) + if err != nil { + panic(err) + } + enc, sealer, err := Alice.Setup(rand.Reader) + if err != nil { + panic(err) + } + + // Alice encrypts some plaintext and sends the ciphertext to Bob. + ptAlice := []byte("text encrypted to Bob's public key") + aad := []byte("additional public data") + ct, err := sealer.Seal(ptAlice, aad) + if err != nil { + panic(err) + } + + // Bob decrypts the ciphertext. + opener, err := Bob.Setup(enc) + if err != nil { + panic(err) + } + ptBob, err := opener.Open(ct, aad) + if err != nil { + panic(err) + } + + // Plaintext was sent successfully. + fmt.Println(bytes.Equal(ptAlice, ptBob)) + // Output: true +} diff --git a/src/circl/hpke/kembase.go b/src/circl/hpke/kembase.go new file mode 100644 index 00000000000..7dc4c629e26 --- /dev/null +++ b/src/circl/hpke/kembase.go @@ -0,0 +1,238 @@ +package hpke + +import ( + "crypto" + "crypto/rand" + _ "crypto/sha256" // linking sha256 packages. + _ "crypto/sha512" // linking sha512 packages. + "encoding/binary" + "io" + + "circl/kem" + "golang.org/x/crypto/hkdf" +) + +type dhKEM interface { + sizeDH() int + calcDH(dh []byte, sk kem.PrivateKey, pk kem.PublicKey) error + SeedSize() int + DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) + UnmarshalBinaryPrivateKey(data []byte) (kem.PrivateKey, error) + UnmarshalBinaryPublicKey(data []byte) (kem.PublicKey, error) +} + +type kemBase struct { + id KEM + name string + crypto.Hash + dhKEM +} + +func (k kemBase) Name() string { return k.name } +func (k kemBase) SharedKeySize() int { return k.Hash.Size() } + +func (k kemBase) getSuiteID() (sid [5]byte) { + sid[0], sid[1], sid[2] = 'K', 'E', 'M' + binary.BigEndian.PutUint16(sid[3:5], uint16(k.id)) + return +} + +func (k kemBase) extractExpand(dh, kemCtx []byte) []byte { + eaePkr := k.labeledExtract(nil, []byte("eae_prk"), dh) + return k.labeledExpand( + eaePkr, + []byte("shared_secret"), + kemCtx, + uint16(k.Size()), + ) +} + +func (k kemBase) labeledExtract(salt, label, info []byte) []byte { + suiteID := k.getSuiteID() + labeledIKM := append(append(append(append( + make([]byte, 0, len(versionLabel)+len(suiteID)+len(label)+len(info)), + versionLabel...), + suiteID[:]...), + label...), + info...) + return hkdf.Extract(k.New, labeledIKM, salt) +} + +func (k kemBase) labeledExpand(prk, label, info []byte, l uint16) []byte { + suiteID := k.getSuiteID() + labeledInfo := make( + []byte, + 2, + 2+len(versionLabel)+len(suiteID)+len(label)+len(info), + ) + binary.BigEndian.PutUint16(labeledInfo[0:2], l) + labeledInfo = append(append(append(append(labeledInfo, + versionLabel...), + suiteID[:]...), + label...), + info...) + b := make([]byte, l) + rd := hkdf.Expand(k.New, prk, labeledInfo) + if _, err := io.ReadFull(rd, b); err != nil { + panic(err) + } + return b +} + +func (k kemBase) AuthEncapsulate(pkr kem.PublicKey, sks kem.PrivateKey) ( + ct []byte, ss []byte, err error, +) { + seed := make([]byte, k.SeedSize()) + _, err = io.ReadFull(rand.Reader, seed) + if err != nil { + return nil, nil, err + } + + return k.authEncap(pkr, sks, seed) +} + +func (k kemBase) Encapsulate(pkr kem.PublicKey) ( + ct []byte, ss []byte, err error, +) { + seed := make([]byte, k.SeedSize()) + _, err = io.ReadFull(rand.Reader, seed) + if err != nil { + return nil, nil, err + } + + return k.encap(pkr, seed) +} + +func (k kemBase) AuthEncapsulateDeterministically( + pkr kem.PublicKey, sks kem.PrivateKey, seed []byte, +) (ct, ss []byte, err error) { + return k.authEncap(pkr, sks, seed) +} + +func (k kemBase) EncapsulateDeterministically(pkr kem.PublicKey, seed []byte) ( + ct, ss []byte, err error) { + return k.encap(pkr, seed) +} + +func (k kemBase) encap( + pkR kem.PublicKey, + seed []byte, +) (ct []byte, ss []byte, err error) { + dh := make([]byte, k.sizeDH()) + enc, kemCtx, err := k.coreEncap(dh, pkR, seed) + if err != nil { + return nil, nil, err + } + ss = k.extractExpand(dh, kemCtx) + return enc, ss, nil +} + +func (k kemBase) authEncap( + pkR kem.PublicKey, + skS kem.PrivateKey, + seed []byte, +) (ct []byte, ss []byte, err error) { + dhLen := k.sizeDH() + dh := make([]byte, 2*dhLen) + enc, kemCtx, err := k.coreEncap(dh[:dhLen], pkR, seed) + if err != nil { + return nil, nil, err + } + + err = k.calcDH(dh[dhLen:], skS, pkR) + if err != nil { + return nil, nil, err + } + + pkS := skS.Public() + pkSm, err := pkS.MarshalBinary() + if err != nil { + return nil, nil, err + } + kemCtx = append(kemCtx, pkSm...) + + ss = k.extractExpand(dh, kemCtx) + return enc, ss, nil +} + +func (k kemBase) coreEncap( + dh []byte, + pkR kem.PublicKey, + seed []byte, +) (enc []byte, kemCtx []byte, err error) { + pkE, skE := k.DeriveKeyPair(seed) + err = k.calcDH(dh, skE, pkR) + if err != nil { + return nil, nil, err + } + + enc, err = pkE.MarshalBinary() + if err != nil { + return nil, nil, err + } + pkRm, err := pkR.MarshalBinary() + if err != nil { + return nil, nil, err + } + kemCtx = append(append([]byte{}, enc...), pkRm...) + + return enc, kemCtx, nil +} + +func (k kemBase) Decapsulate(skr kem.PrivateKey, ct []byte) ([]byte, error) { + dh := make([]byte, k.sizeDH()) + kemCtx, err := k.coreDecap(dh, skr, ct) + if err != nil { + return nil, err + } + return k.extractExpand(dh, kemCtx), nil +} + +func (k kemBase) AuthDecapsulate( + skR kem.PrivateKey, + ct []byte, + pkS kem.PublicKey, +) ([]byte, error) { + dhLen := k.sizeDH() + dh := make([]byte, 2*dhLen) + kemCtx, err := k.coreDecap(dh[:dhLen], skR, ct) + if err != nil { + return nil, err + } + + err = k.calcDH(dh[dhLen:], skR, pkS) + if err != nil { + return nil, err + } + + pkSm, err := pkS.MarshalBinary() + if err != nil { + return nil, err + } + kemCtx = append(kemCtx, pkSm...) + return k.extractExpand(dh, kemCtx), nil +} + +func (k kemBase) coreDecap( + dh []byte, + skR kem.PrivateKey, + ct []byte, +) ([]byte, error) { + pkE, err := k.UnmarshalBinaryPublicKey(ct) + if err != nil { + return nil, err + } + + err = k.calcDH(dh, skR, pkE) + if err != nil { + return nil, err + } + + pkR := skR.Public() + pkRm, err := pkR.MarshalBinary() + if err != nil { + return nil, err + } + + return append(append([]byte{}, ct...), pkRm...), nil +} diff --git a/src/circl/hpke/marshal.go b/src/circl/hpke/marshal.go new file mode 100644 index 00000000000..c6e851ad601 --- /dev/null +++ b/src/circl/hpke/marshal.go @@ -0,0 +1,151 @@ +package hpke + +import ( + "errors" + + "golang.org/x/crypto/cryptobyte" +) + +// marshal serializes an HPKE context. +func (c *encdecContext) marshal() ([]byte, error) { + var b cryptobyte.Builder + b.AddUint16(uint16(c.suite.kemID)) + b.AddUint16(uint16(c.suite.kdfID)) + b.AddUint16(uint16(c.suite.aeadID)) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(c.exporterSecret) + }) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(c.key) + }) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(c.baseNonce) + }) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(c.sequenceNumber) + }) + return b.Bytes() +} + +// unmarshalContext parses an HPKE context. +func unmarshalContext(raw []byte) (*encdecContext, error) { + var ( + err error + t cryptobyte.String + ) + + c := new(encdecContext) + s := cryptobyte.String(raw) + if !s.ReadUint16((*uint16)(&c.suite.kemID)) || + !s.ReadUint16((*uint16)(&c.suite.kdfID)) || + !s.ReadUint16((*uint16)(&c.suite.aeadID)) || + !s.ReadUint8LengthPrefixed(&t) || + !t.ReadBytes(&c.exporterSecret, len(t)) || + !s.ReadUint8LengthPrefixed(&t) || + !t.ReadBytes(&c.key, len(t)) || + !s.ReadUint8LengthPrefixed(&t) || + !t.ReadBytes(&c.baseNonce, len(t)) || + !s.ReadUint8LengthPrefixed(&t) || + !t.ReadBytes(&c.sequenceNumber, len(t)) { + return nil, errors.New("failed to parse context") + } + + if !c.suite.isValid() { + return nil, errInvalidHPKESuite + } + + Nh := c.suite.kdfID.ExtractSize() + if len(c.exporterSecret) != Nh { + return nil, errors.New("invalid exporter secret length") + } + + Nk := int(c.suite.aeadID.KeySize()) + if len(c.key) != Nk { + return nil, errors.New("invalid key length") + } + + c.AEAD, err = c.suite.aeadID.New(c.key) + if err != nil { + return nil, err + } + + Nn := c.AEAD.NonceSize() + if len(c.baseNonce) != Nn { + return nil, errors.New("invalid base nonce length") + } + if len(c.sequenceNumber) != Nn { + return nil, errors.New("invalid sequence number length") + } + c.nonce = make([]byte, Nn) + + return c, nil +} + +// MarshalBinary serializes an HPKE sealer according to the format specified +// below. (Expressed in TLS syntax.) Note that this format is not defined by +// the HPKE standard. +// +// enum { sealer(0), opener(1) } HpkeRole; +// +// struct { +// HpkeKemId kem_id; // draft-irtf-cfrg-hpke-07 +// HpkeKdfId kdf_id; // draft-irtf-cfrg-hpke-07 +// HpkeAeadId aead_id; // draft-irtf-cfrg-hpke-07 +// opaque exporter_secret<0..255>; +// opaque key<0..255>; +// opaque base_nonce<0..255>; +// opaque seq<0..255>; +// } HpkeContext; +// +// struct { +// HpkeRole role = 0; // sealer +// HpkeContext context; +// } HpkeSealer; +func (c *sealContext) MarshalBinary() ([]byte, error) { + rawContext, err := c.encdecContext.marshal() + if err != nil { + return nil, err + } + return append([]byte{0}, rawContext...), nil +} + +// UnmarshalSealer parses an HPKE sealer. +func UnmarshalSealer(raw []byte) (Sealer, error) { + if raw[0] != 0 { + return nil, errors.New("incorrect role") + } + context, err := unmarshalContext(raw[1:]) + if err != nil { + return nil, err + } + return &sealContext{context}, nil +} + +// MarshalBinary serializes an HPKE opener according to the format specified +// below. (Expressed in TLS syntax.) Note that this format is not defined by the +// HPKE standard. +// +// struct { +// HpkeRole role = 1; // opener +// HpkeContext context; +// } HpkeOpener; +func (c *openContext) MarshalBinary() ([]byte, error) { + rawContext, err := c.encdecContext.marshal() + if err != nil { + return nil, err + } + return append([]byte{1}, rawContext...), nil +} + +// UnmarshalOpener parses a serialized HPKE opener and returns the corresponding +// Opener. +func UnmarshalOpener(raw []byte) (Opener, error) { + if raw[0] != 1 { + return nil, errors.New("incorrect role") + } + context, err := unmarshalContext(raw[1:]) + if err != nil { + return nil, err + } + return &openContext{context}, nil +} diff --git a/src/circl/hpke/marshal_test.go b/src/circl/hpke/marshal_test.go new file mode 100644 index 00000000000..a11f6b83e30 --- /dev/null +++ b/src/circl/hpke/marshal_test.go @@ -0,0 +1,84 @@ +package hpke + +import ( + "bytes" + "crypto/rand" + "testing" +) + +func contextEqual(a, b *encdecContext) bool { + an := make([]byte, a.NonceSize()) + bn := make([]byte, b.NonceSize()) + ac := a.AEAD.Seal(nil, an, nil, nil) + bc := b.AEAD.Seal(nil, bn, nil, nil) + return a.suite == b.suite && + bytes.Equal(a.exporterSecret, b.exporterSecret) && + bytes.Equal(a.key, b.key) && + bytes.Equal(a.baseNonce, b.baseNonce) && + bytes.Equal(a.sequenceNumber, b.sequenceNumber) && + bytes.Equal(ac, bc) && + len(a.nonce) == len(b.nonce) && + len(a.nonce) == len(a.baseNonce) +} + +func TestContextSerialization(t *testing.T) { + s := NewSuite(KEM_P384_HKDF_SHA384, KDF_HKDF_SHA384, AEAD_AES256GCM) + info := []byte("some info string") + + pk, sk, err := s.kemID.Scheme().GenerateKeyPair() + if err != nil { + t.Fatal(err) + } + receiver, err := s.NewReceiver(sk, info) + if err != nil { + t.Fatal(err) + } + sender, err := s.NewSender(pk, info) + if err != nil { + t.Fatal(err) + } + enc, sealer, err := sender.Setup(rand.Reader) + if err != nil { + t.Fatal(err) + } + opener, err := receiver.Setup(enc) + if err != nil { + t.Fatal(err) + } + + rawSealer, err := sealer.MarshalBinary() + if err != nil { + t.Fatal(err) + } + parsedSealer, err := UnmarshalSealer(rawSealer) + if err != nil { + t.Fatal(err) + } + if !contextEqual( + sealer.(*sealContext).encdecContext, + parsedSealer.(*sealContext).encdecContext) { + t.Error("parsed sealer does not match original") + } + _, err = UnmarshalOpener(rawSealer) + if err == nil { + t.Error("parsing a sealer as an opener succeeded; want failure") + } + + rawOpener, err := opener.MarshalBinary() + if err != nil { + t.Fatal(err) + } + parsedOpener, err := UnmarshalOpener(rawOpener) + if err != nil { + t.Fatal(err) + } + if !contextEqual( + opener.(*openContext).encdecContext, + parsedOpener.(*openContext).encdecContext) { + t.Error("parsed opener does not match original") + } + _, err = UnmarshalSealer(rawOpener) + if err == nil { + t.Error("parsing an opener as a sealer succeeded; want failure") + } +} diff --git a/src/circl/hpke/shortkem.go b/src/circl/hpke/shortkem.go new file mode 100644 index 00000000000..b29135dedf1 --- /dev/null +++ b/src/circl/hpke/shortkem.go @@ -0,0 +1,158 @@ +package hpke + +import ( + "crypto/elliptic" + "crypto/rand" + _ "crypto/sha256" // linking sha256 packages. + _ "crypto/sha512" // linking sha512 packages. + "crypto/subtle" + "fmt" + "math/big" + + "circl/kem" +) + +type shortKEM struct { + kemBase + elliptic.Curve +} + +func (s shortKEM) PrivateKeySize() int { return s.byteSize() } +func (s shortKEM) SeedSize() int { return s.byteSize() } +func (s shortKEM) CiphertextSize() int { return 1 + 2*s.byteSize() } +func (s shortKEM) PublicKeySize() int { return 1 + 2*s.byteSize() } +func (s shortKEM) EncapsulationSeedSize() int { return s.byteSize() } + +func (s shortKEM) byteSize() int { return (s.Params().BitSize + 7) / 8 } + +func (s shortKEM) sizeDH() int { return s.byteSize() } +func (s shortKEM) calcDH(dh []byte, sk kem.PrivateKey, pk kem.PublicKey) error { + PK := pk.(*shortKEMPubKey) + SK := sk.(*shortKEMPrivKey) + l := len(dh) + x, _ := s.ScalarMult(PK.x, PK.y, SK.priv) // only x-coordinate is used. + if x.Sign() == 0 { + return errInvalidKEMSharedSecret + } + b := x.Bytes() + copy(dh[l-len(b):l], b) + return nil +} + +// Deterministicallly derives a keypair from a seed. If you're unsure, +// you're better off using GenerateKey(). +// +// Panics if seed is not of length SeedSize(). +func (s shortKEM) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + // Implementation based on + // https://www.ietf.org/archive/id/draft-irtf-cfrg-hpke-07.html#name-derivekeypair + if len(seed) != s.SeedSize() { + panic(kem.ErrSeedSize) + } + + var bitmask = byte(0xFF) + if s.Params().BitSize == 521 { + bitmask = 0x01 + } + + dkpPrk := s.labeledExtract(nil, []byte("dkp_prk"), seed) + var bytes []byte + ctr := 0 + for skBig := new(big.Int); skBig.Sign() == 0 || skBig.Cmp(s.Params().N) >= 0; ctr++ { + if ctr > 255 { + panic("derive key error") + } + bytes = s.labeledExpand( + dkpPrk, + []byte("candidate"), + []byte{byte(ctr)}, + uint16(s.byteSize()), + ) + bytes[0] &= bitmask + skBig.SetBytes(bytes) + } + l := s.PrivateKeySize() + sk := &shortKEMPrivKey{s, make([]byte, l), nil} + copy(sk.priv[l-len(bytes):], bytes) + return sk.Public(), sk +} +func (s shortKEM) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + sk, x, y, err := elliptic.GenerateKey(s, rand.Reader) + pub := &shortKEMPubKey{s, x, y} + return pub, &shortKEMPrivKey{s, sk, pub}, err +} + +func (s shortKEM) UnmarshalBinaryPrivateKey(data []byte) ( + kem.PrivateKey, error) { + l := s.PrivateKeySize() + if len(data) < l { + return nil, errInvalidKEMPrivateKey + } + sk := &shortKEMPrivKey{s, make([]byte, l), nil} + copy(sk.priv[l-len(data):l], data[:l]) + return sk, nil +} +func (s shortKEM) UnmarshalBinaryPublicKey(data []byte) (kem.PublicKey, error) { + x, y := elliptic.Unmarshal(s, data) + if x == nil { + return nil, errInvalidKEMPublicKey + } + return &shortKEMPubKey{s, x, y}, nil +} + +type shortKEMPubKey struct { + scheme shortKEM + x, y *big.Int +} + +func (k *shortKEMPubKey) String() string { + return fmt.Sprintf("x: %v\ny: %v", k.x.Text(16), k.y.Text(16)) +} +func (k *shortKEMPubKey) Scheme() kem.Scheme { return k.scheme } +func (k *shortKEMPubKey) MarshalBinary() ([]byte, error) { + return elliptic.Marshal(k.scheme, k.x, k.y), nil +} +func (k *shortKEMPubKey) Equal(pk kem.PublicKey) bool { + k1, ok := pk.(*shortKEMPubKey) + return ok && + k.scheme.Params().Name == k1.scheme.Params().Name && + k.x.Cmp(k1.x) == 0 && + k.y.Cmp(k1.y) == 0 +} +func (k *shortKEMPubKey) Validate() bool { + p := k.scheme.Params().P + notAtInfinity := k.x.Sign() > 0 && k.y.Sign() > 0 + lessThanP := k.x.Cmp(p) < 0 && k.y.Cmp(p) < 0 + onCurve := k.scheme.IsOnCurve(k.x, k.y) + return notAtInfinity && lessThanP && onCurve +} + +type shortKEMPrivKey struct { + scheme shortKEM + priv []byte + pub *shortKEMPubKey +} + +func (k *shortKEMPrivKey) String() string { return fmt.Sprintf("%x", k.priv) } +func (k *shortKEMPrivKey) Scheme() kem.Scheme { return k.scheme } +func (k *shortKEMPrivKey) MarshalBinary() ([]byte, error) { + return append(make([]byte, 0, k.scheme.PrivateKeySize()), k.priv...), nil +} +func (k *shortKEMPrivKey) Equal(pk kem.PrivateKey) bool { + k1, ok := pk.(*shortKEMPrivKey) + return ok && + k.scheme.Params().Name == k1.scheme.Params().Name && + subtle.ConstantTimeCompare(k.priv, k1.priv) == 1 +} +func (k *shortKEMPrivKey) Public() kem.PublicKey { + if k.pub == nil { + x, y := k.scheme.ScalarBaseMult(k.priv) + k.pub = &shortKEMPubKey{k.scheme, x, y} + } + return k.pub +} +func (k *shortKEMPrivKey) Validate() bool { + n := new(big.Int).SetBytes(k.priv) + order := k.scheme.Curve.Params().N + return len(k.priv) == k.scheme.PrivateKeySize() && n.Cmp(order) < 0 +} diff --git a/src/circl/hpke/testdata/vectors_v07.json b/src/circl/hpke/testdata/vectors_v07.json new file mode 100644 index 00000000000..434a1ceae7e --- /dev/null +++ b/src/circl/hpke/testdata/vectors_v07.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/src/circl/hpke/util.go b/src/circl/hpke/util.go new file mode 100644 index 00000000000..53290aedc4f --- /dev/null +++ b/src/circl/hpke/util.go @@ -0,0 +1,118 @@ +package hpke + +import ( + "encoding/binary" + "errors" + "fmt" +) + +func (st state) keySchedule(ss, info, psk, pskID []byte) (*encdecContext, error) { + if err := st.verifyPSKInputs(psk, pskID); err != nil { + return nil, err + } + + pskIDHash := st.labeledExtract(nil, []byte("psk_id_hash"), pskID) + infoHash := st.labeledExtract(nil, []byte("info_hash"), info) + keySchCtx := append(append( + []byte{st.modeID}, + pskIDHash...), + infoHash...) + + secret := st.labeledExtract(ss, []byte("secret"), psk) + + Nk := uint16(st.aeadID.KeySize()) + key := st.labeledExpand(secret, []byte("key"), keySchCtx, Nk) + + aead, err := st.aeadID.New(key) + if err != nil { + return nil, err + } + + Nn := uint16(aead.NonceSize()) + baseNonce := st.labeledExpand(secret, []byte("base_nonce"), keySchCtx, Nn) + exporterSecret := st.labeledExpand( + secret, + []byte("exp"), + keySchCtx, + uint16(st.kdfID.ExtractSize()), + ) + + return &encdecContext{ + st.Suite, + exporterSecret, + key, + baseNonce, + make([]byte, Nn), + aead, + make([]byte, Nn), + }, nil +} + +func (st state) verifyPSKInputs(psk, pskID []byte) error { + gotPSK := psk != nil + gotPSKID := pskID != nil + if gotPSK != gotPSKID { + return errors.New("inconsistent PSK inputs") + } + switch st.modeID { + case modeBase | modeAuth: + if gotPSK { + return errors.New("PSK input provided when not needed") + } + case modePSK | modeAuthPSK: + if !gotPSK { + return errors.New("missing required PSK input") + } + } + return nil +} + +// Params returns the codepoints for the algorithms comprising the suite. +func (suite Suite) Params() (KEM, KDF, AEAD) { + return suite.kemID, suite.kdfID, suite.aeadID +} + +func (suite Suite) String() string { + return fmt.Sprintf( + "kem_id: %v kdf_id: %v aead_id: %v", + suite.kemID, suite.kdfID, suite.aeadID, + ) +} + +func (suite Suite) getSuiteID() (id [10]byte) { + id[0], id[1], id[2], id[3] = 'H', 'P', 'K', 'E' + binary.BigEndian.PutUint16(id[4:6], uint16(suite.kemID)) + binary.BigEndian.PutUint16(id[6:8], uint16(suite.kdfID)) + binary.BigEndian.PutUint16(id[8:10], uint16(suite.aeadID)) + return +} + +func (suite Suite) isValid() bool { + return suite.kemID.IsValid() && + suite.kdfID.IsValid() && + suite.aeadID.IsValid() +} + +func (suite Suite) labeledExtract(salt, label, ikm []byte) []byte { + suiteID := suite.getSuiteID() + labeledIKM := append(append(append(append( + make([]byte, 0, len(versionLabel)+len(suiteID)+len(label)+len(ikm)), + versionLabel...), + suiteID[:]...), + label...), + ikm...) + return suite.kdfID.Extract(labeledIKM, salt) +} + +func (suite Suite) labeledExpand(prk, label, info []byte, l uint16) []byte { + suiteID := suite.getSuiteID() + labeledInfo := make([]byte, + 2, 2+len(versionLabel)+len(suiteID)+len(label)+len(info)) + binary.BigEndian.PutUint16(labeledInfo[0:2], l) + labeledInfo = append(append(append(append(labeledInfo, + versionLabel...), + suiteID[:]...), + label...), + info...) + return suite.kdfID.Expand(prk, labeledInfo, uint(l)) +} diff --git a/src/circl/hpke/vectors_test.go b/src/circl/hpke/vectors_test.go new file mode 100644 index 00000000000..d6e587b53c8 --- /dev/null +++ b/src/circl/hpke/vectors_test.go @@ -0,0 +1,235 @@ +package hpke + +import ( + "bytes" + "encoding/hex" + "encoding/json" + "fmt" + "io/ioutil" + "os" + "testing" + + "circl/internal/test" + "circl/kem" +) + +func TestVectors(t *testing.T) { + // Test vectors from + // https://github.com/cfrg/draft-irtf-cfrg-hpke/blob/draft-irtf-cfrg-hpke-07/test-vectors.json + vectors := readFile(t, "testdata/vectors_v07.json") + for i, v := range vectors { + t.Run(fmt.Sprintf("v%v", i), v.verify) + } +} + +func (v *vector) verify(t *testing.T) { + m := v.ModeID + kem, kdf, aead := KEM(v.KemID), KDF(v.KdfID), AEAD(v.AeadID) + if !kem.IsValid() { + t.Skipf("Skipping test with unknown KEM: %x", kem) + } + if !kdf.IsValid() { + t.Skipf("Skipping test with unknown KDF: %x", kdf) + } + if !aead.IsValid() { + t.Skipf("Skipping test with unknown AEAD: %x", aead) + } + s := NewSuite(kem, kdf, aead) + + sender, recv := v.getActors(t, kem.Scheme(), s) + sealer, opener := v.setup(t, kem.Scheme(), sender, recv, m, s) + + v.checkAead(t, (sealer.(*sealContext)).encdecContext, m) + v.checkAead(t, (opener.(*openContext)).encdecContext, m) + v.checkEncryptions(t, sealer, opener, m) + v.checkExports(t, sealer, m) + v.checkExports(t, opener, m) +} + +func (v *vector) getActors(t *testing.T, dhkem kem.Scheme, s Suite) ( + *Sender, *Receiver) { + h := s.String() + "\n" + + pkR, err := dhkem.UnmarshalBinaryPublicKey(hexB(t, v.PkRm)) + test.CheckNoErr(t, err, h+"bad public key") + + skR, err := dhkem.UnmarshalBinaryPrivateKey(hexB(t, v.SkRm)) + test.CheckNoErr(t, err, h+"bad private key") + + info := hexB(t, v.Info) + sender, err := s.NewSender(pkR, info) + test.CheckNoErr(t, err, h+"err sender") + + recv, err := s.NewReceiver(skR, info) + test.CheckNoErr(t, err, h+"err receiver") + + return sender, recv +} + +func (v *vector) setup(t *testing.T, k kem.Scheme, + se *Sender, re *Receiver, + m modeID, s Suite, +) (sealer Sealer, opener Opener) { + seed := hexB(t, v.IkmE) + rd := bytes.NewReader(seed) + + var enc []byte + var skS kem.PrivateKey + var pkS kem.PublicKey + var errS, errR, errPK, errSK error + + switch v.ModeID { + case modeBase: + enc, sealer, errS = se.Setup(rd) + if errS == nil { + opener, errR = re.Setup(enc) + } + + case modePSK: + psk, pskid := hexB(t, v.Psk), hexB(t, v.PskID) + enc, sealer, errS = se.SetupPSK(rd, psk, pskid) + if errS == nil { + opener, errR = re.SetupPSK(enc, psk, pskid) + } + + case modeAuth: + skS, errSK = k.UnmarshalBinaryPrivateKey(hexB(t, v.SkSm)) + if errSK == nil { + pkS, errPK = k.UnmarshalBinaryPublicKey(hexB(t, v.PkSm)) + if errPK == nil { + enc, sealer, errS = se.SetupAuth(rd, skS) + if errS == nil { + opener, errR = re.SetupAuth(enc, pkS) + } + } + } + + case modeAuthPSK: + psk, pskid := hexB(t, v.Psk), hexB(t, v.PskID) + skS, errSK = k.UnmarshalBinaryPrivateKey(hexB(t, v.SkSm)) + if errSK == nil { + pkS, errPK = k.UnmarshalBinaryPublicKey(hexB(t, v.PkSm)) + if errPK == nil { + enc, sealer, errS = se.SetupAuthPSK(rd, skS, psk, pskid) + if errS == nil { + opener, errR = re.SetupAuthPSK(enc, psk, pskid, pkS) + } + } + } + } + + h := fmt.Sprintf("mode: %v %v\n", m, s) + test.CheckNoErr(t, errS, h+"error on sender setup") + test.CheckNoErr(t, errR, h+"error on receiver setup") + test.CheckNoErr(t, errSK, h+"bad private key") + test.CheckNoErr(t, errPK, h+"bad public key") + + return sealer, opener +} + +func (v *vector) checkAead(t *testing.T, e *encdecContext, m modeID) { + got := e.baseNonce + want := hexB(t, v.BaseNonce) + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, m, e.Suite()) + } + + got = e.exporterSecret + want = hexB(t, v.ExporterSecret) + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, m, e.Suite()) + } +} + +func (v *vector) checkEncryptions( + t *testing.T, + se Sealer, + op Opener, + m modeID, +) { + for j, encv := range v.Encryptions { + pt := hexB(t, encv.Plaintext) + aad := hexB(t, encv.Aad) + + ct, err := se.Seal(pt, aad) + test.CheckNoErr(t, err, "error on sealing") + + got, err := op.Open(ct, aad) + test.CheckNoErr(t, err, "error on opening") + + want := pt + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, m, se.Suite(), j) + } + } +} + +func (v *vector) checkExports(t *testing.T, context Context, m modeID) { + for j, expv := range v.Exports { + ctx := hexB(t, expv.ExportContext) + want := hexB(t, expv.ExportValue) + + got := context.Export(ctx, uint(expv.ExportLength)) + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, m, context.Suite(), j) + } + } +} + +func hexB(t *testing.T, x string) []byte { + t.Helper() + z, err := hex.DecodeString(x) + test.CheckNoErr(t, err, "") + return z +} + +func readFile(t *testing.T, fileName string) []vector { + jsonFile, err := os.Open(fileName) + if err != nil { + t.Fatalf("File %v can not be opened. Error: %v", fileName, err) + } + defer jsonFile.Close() + input, _ := ioutil.ReadAll(jsonFile) + var vectors []vector + err = json.Unmarshal(input, &vectors) + if err != nil { + t.Fatalf("File %v can not be loaded. Error: %v", fileName, err) + } + return vectors +} + +type vector struct { + ModeID uint8 `json:"mode"` + KemID uint16 `json:"kem_id"` + KdfID uint16 `json:"kdf_id"` + AeadID uint16 `json:"aead_id"` + Info string `json:"info"` + IkmR string `json:"ikmR"` + IkmE string `json:"ikmE"` + SkRm string `json:"skRm"` + SkEm string `json:"skEm"` + SkSm string `json:"skSm"` + Psk string `json:"psk"` + PskID string `json:"psk_id"` + PkSm string `json:"pkSm"` + PkRm string `json:"pkRm"` + PkEm string `json:"pkEm"` + Enc string `json:"enc"` + SharedSecret string `json:"shared_secret"` + KeyScheduleContext string `json:"key_schedule_context"` + Secret string `json:"secret"` + Key string `json:"key"` + BaseNonce string `json:"base_nonce"` + ExporterSecret string `json:"exporter_secret"` + Encryptions []struct { + Aad string `json:"aad"` + Ciphertext string `json:"ciphertext"` + Nonce string `json:"nonce"` + Plaintext string `json:"plaintext"` + } `json:"encryptions"` + Exports []struct { + ExportContext string `json:"exportContext"` + ExportLength int `json:"exportLength"` + ExportValue string `json:"exportValue"` + } `json:"exports"` +} diff --git a/src/circl/hpke/xkem.go b/src/circl/hpke/xkem.go new file mode 100644 index 00000000000..136c2c534c2 --- /dev/null +++ b/src/circl/hpke/xkem.go @@ -0,0 +1,154 @@ +package hpke + +import ( + "bytes" + "crypto/rand" + _ "crypto/sha256" // linking sha256 packages. + _ "crypto/sha512" // linking sha512 packages. + "crypto/subtle" + "fmt" + "io" + + "circl/dh/x25519" + "circl/dh/x448" + "circl/kem" +) + +type xKEM struct { + kemBase + size int +} + +func (x xKEM) PrivateKeySize() int { return x.size } +func (x xKEM) SeedSize() int { return x.size } +func (x xKEM) CiphertextSize() int { return x.size } +func (x xKEM) PublicKeySize() int { return x.size } +func (x xKEM) EncapsulationSeedSize() int { return x.size } + +func (x xKEM) sizeDH() int { return x.size } +func (x xKEM) calcDH(dh []byte, sk kem.PrivateKey, pk kem.PublicKey) error { + PK := pk.(*xKEMPubKey) + SK := sk.(*xKEMPrivKey) + switch x.size { + case x25519.Size: + var ss, sKey, pKey x25519.Key + copy(sKey[:], SK.priv) + copy(pKey[:], PK.pub) + if !x25519.Shared(&ss, &sKey, &pKey) { + return errInvalidKEMSharedSecret + } + copy(dh, ss[:]) + case x448.Size: + var ss, sKey, pKey x448.Key + copy(sKey[:], SK.priv) + copy(pKey[:], PK.pub) + if !x448.Shared(&ss, &sKey, &pKey) { + return errInvalidKEMSharedSecret + } + copy(dh, ss[:]) + } + return nil +} + +// Deterministicallly derives a keypair from a seed. If you're unsure, +// you're better off using GenerateKey(). +// +// Panics if seed is not of length SeedSize(). +func (x xKEM) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + // Implementation based on + // https://www.ietf.org/archive/id/draft-irtf-cfrg-hpke-07.html#name-derivekeypair + if len(seed) != x.SeedSize() { + panic(kem.ErrSeedSize) + } + sk := &xKEMPrivKey{scheme: x, priv: make([]byte, x.size)} + dkpPrk := x.labeledExtract(nil, []byte("dkp_prk"), seed) + bytes := x.labeledExpand( + dkpPrk, + []byte("sk"), + nil, + uint16(x.PrivateKeySize()), + ) + copy(sk.priv, bytes) + return sk.Public(), sk +} +func (x xKEM) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + sk := &xKEMPrivKey{scheme: x, priv: make([]byte, x.PrivateKeySize())} + _, err := io.ReadFull(rand.Reader, sk.priv) + if err != nil { + return nil, nil, err + } + return sk.Public(), sk, nil +} +func (x xKEM) UnmarshalBinaryPrivateKey(data []byte) (kem.PrivateKey, error) { + l := x.PrivateKeySize() + if len(data) < l { + return nil, errInvalidKEMPrivateKey + } + sk := &xKEMPrivKey{x, make([]byte, l), nil} + copy(sk.priv, data[:l]) + return sk, nil +} +func (x xKEM) UnmarshalBinaryPublicKey(data []byte) (kem.PublicKey, error) { + l := x.PublicKeySize() + if len(data) < l { + return nil, errInvalidKEMPublicKey + } + pk := &xKEMPubKey{x, make([]byte, l)} + copy(pk.pub, data[:l]) + return pk, nil +} + +type xKEMPubKey struct { + scheme xKEM + pub []byte +} + +func (k *xKEMPubKey) String() string { return fmt.Sprintf("%x", k.pub) } +func (k *xKEMPubKey) Scheme() kem.Scheme { return k.scheme } +func (k *xKEMPubKey) MarshalBinary() ([]byte, error) { + return append(make([]byte, 0, k.scheme.PublicKeySize()), k.pub...), nil +} +func (k *xKEMPubKey) Equal(pk kem.PublicKey) bool { + k1, ok := pk.(*xKEMPubKey) + return ok && + k.scheme.id == k1.scheme.id && + bytes.Equal(k.pub, k1.pub) +} +func (k *xKEMPubKey) Validate() bool { return len(k.pub) == k.scheme.PublicKeySize() } + +type xKEMPrivKey struct { + scheme xKEM + priv []byte + pub *xKEMPubKey +} + +func (k *xKEMPrivKey) String() string { return fmt.Sprintf("%x", k.priv) } +func (k *xKEMPrivKey) Scheme() kem.Scheme { return k.scheme } +func (k *xKEMPrivKey) MarshalBinary() ([]byte, error) { + return append(make([]byte, 0, k.scheme.PrivateKeySize()), k.priv...), nil +} +func (k *xKEMPrivKey) Equal(pk kem.PrivateKey) bool { + k1, ok := pk.(*xKEMPrivKey) + return ok && + k.scheme.id == k1.scheme.id && + subtle.ConstantTimeCompare(k.priv, k1.priv) == 1 +} +func (k *xKEMPrivKey) Public() kem.PublicKey { + if k.pub == nil { + k.pub = &xKEMPubKey{scheme: k.scheme, pub: make([]byte, k.scheme.size)} + switch k.scheme.size { + case x25519.Size: + var sk, pk x25519.Key + copy(sk[:], k.priv) + x25519.KeyGen(&pk, &sk) + copy(k.pub.pub, pk[:]) + case x448.Size: + var sk, pk x448.Key + copy(sk[:], k.priv) + x448.KeyGen(&pk, &sk) + copy(k.pub.pub, pk[:]) + } + } + return k.pub +} +func (k *xKEMPrivKey) Validate() bool { return len(k.priv) == k.scheme.PrivateKeySize() } diff --git a/src/circl/internal/test/test.go b/src/circl/internal/test/test.go index 38f02feb0cd..d256ee29a0c 100644 --- a/src/circl/internal/test/test.go +++ b/src/circl/internal/test/test.go @@ -24,7 +24,7 @@ func CheckOk(result bool, msg string, t testing.TB) { t.Helper() if !result { - t.Error(msg) + t.Fatal(msg) } } @@ -33,11 +33,11 @@ func CheckOk(result bool, msg string, t testing.TB) { func checkErr(t testing.TB, err error, mustFail bool, msg string) { t.Helper() if err != nil && !mustFail { - t.Error(msg, ":", err) + t.Fatalf("msg: %v\nerr: %v", msg, err) } if err == nil && mustFail { - t.Error(msg, ":", err) + t.Fatalf("msg: %v\nerr: %v", msg, err) } } diff --git a/src/circl/kem/hybrid/hybrid.go b/src/circl/kem/hybrid/hybrid.go new file mode 100644 index 00000000000..fbd886ae760 --- /dev/null +++ b/src/circl/kem/hybrid/hybrid.go @@ -0,0 +1,296 @@ +// Package hybrid defines several hybrid classical/quantum KEMs. +// +// KEMs are combined by simple concatenation of shared secrets, cipher texts, +// public keys, etc, see +// +// https://datatracker.ietf.org/doc/draft-ietf-tls-hybrid-design/ +// https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-56Cr2.pdf +// +// Note that this is only fine if the shared secret is used in its entirety +// in a next step, such as being hashed or used as key. +// +// For deriving a KEM keypair deterministically and encapsulating +// deterministically, we expand a single seed to both using SHAKE256, +// so that a non-uniform seed (such as a shared secret generated by a hybrid +// KEM where one of the KEMs is weak) doesn't impact just one of the KEMs. +package hybrid + +import ( + "errors" + + "circl/kem" + + "circl/kem/kyber/kyber512" + "circl/kem/sike/sikep434" + + "circl/internal/sha3" +) + +var ErrUninitialized = errors.New("public or private key not initialized") + +// Temporary Hybrid scheme for testing purposes. +func KyberSike() kem.Scheme { + return kyberSike +} + +var kyberSike kem.Scheme = &scheme{ + "Temporary-Kyber-Sike", + kyber512.Scheme(), + sikep434.Scheme(), +} + +// Public key of a hybrid KEM. +type publicKey struct { + scheme *scheme + first kem.PublicKey + second kem.PublicKey +} + +// Private key of a hybrid KEM. +type privateKey struct { + scheme *scheme + first kem.PrivateKey + second kem.PrivateKey +} + +// Scheme for a hybrid KEM. +type scheme struct { + name string + first kem.Scheme + second kem.Scheme +} + +func (sch *scheme) Name() string { return sch.name } +func (sch *scheme) PublicKeySize() int { + return sch.first.PublicKeySize() + sch.second.PublicKeySize() +} +func (sch *scheme) PrivateKeySize() int { + return sch.first.PrivateKeySize() + sch.second.PrivateKeySize() +} +func (sch *scheme) SeedSize() int { + first := sch.first.SeedSize() + second := sch.second.SeedSize() + ret := second + if first > second { + ret = first + } + if ret > 32 { + panic("SeedSize too big for SHAKE256") + } + return ret +} +func (sch *scheme) SharedKeySize() int { + return sch.first.SharedKeySize() + sch.second.SharedKeySize() +} +func (sch *scheme) CiphertextSize() int { + return sch.first.CiphertextSize() + sch.second.CiphertextSize() +} +func (sch *scheme) EncapsulationSeedSize() int { + first := sch.first.EncapsulationSeedSize() + second := sch.second.EncapsulationSeedSize() + ret := second + if first > second { + ret = first + } + if ret > 32 { + panic("EncapsulationSeedSize too big for SHAKE256") + } + return ret +} + +func (sk *privateKey) Scheme() kem.Scheme { return sk.scheme } +func (pk *publicKey) Scheme() kem.Scheme { return pk.scheme } + +func (sk *privateKey) MarshalBinary() ([]byte, error) { + if sk.first == nil || sk.second == nil { + return nil, ErrUninitialized + } + first, err := sk.first.MarshalBinary() + if err != nil { + return nil, err + } + second, err := sk.second.MarshalBinary() + if err != nil { + return nil, err + } + return append(first, second...), nil +} + +func (sk *privateKey) Equal(other kem.PrivateKey) bool { + oth, ok := other.(*privateKey) + if !ok { + return false + } + if sk.first == nil && sk.second == nil && oth.first == nil && oth.second == nil { + return true + } + if sk.first == nil || sk.second == nil || oth.first == nil || oth.second == nil { + return false + } + return sk.first.Equal(oth.first) && sk.second.Equal(oth.second) +} + +func (sk *privateKey) Public() kem.PublicKey { + return &publicKey{sk.scheme, sk.first.Public(), sk.second.Public()} +} + +func (pk *publicKey) Equal(other kem.PublicKey) bool { + oth, ok := other.(*publicKey) + if !ok { + return false + } + if pk.first == nil && pk.second == nil && oth.first == nil && oth.second == nil { + return true + } + if pk.first == nil || pk.second == nil || oth.first == nil || oth.second == nil { + return false + } + return pk.first.Equal(oth.first) && pk.second.Equal(oth.second) +} + +func (pk *publicKey) MarshalBinary() ([]byte, error) { + if pk.first == nil || pk.second == nil { + return nil, ErrUninitialized + } + first, err := pk.first.MarshalBinary() + if err != nil { + return nil, err + } + second, err := pk.second.MarshalBinary() + if err != nil { + return nil, err + } + return append(first, second...), nil +} + +func (sch *scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + pk1, sk1, err := sch.first.GenerateKeyPair() + if err != nil { + return nil, nil, err + } + pk2, sk2, err := sch.second.GenerateKeyPair() + if err != nil { + return nil, nil, err + } + + return &publicKey{sch, pk1, pk2}, &privateKey{sch, sk1, sk2}, nil +} + +func (sch *scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { + if len(seed) != sch.SeedSize() { + panic(kem.ErrSeedSize) + } + h := sha3.NewShake256() + _, _ = h.Write(seed) + first := make([]byte, sch.first.SeedSize()) + second := make([]byte, sch.second.SeedSize()) + _, _ = h.Read(first) + _, _ = h.Read(second) + + pk1, sk1 := sch.first.DeriveKeyPair(first) + pk2, sk2 := sch.second.DeriveKeyPair(second) + + return &publicKey{sch, pk1, pk2}, &privateKey{sch, sk1, sk2} +} + +func (sch *scheme) Encapsulate(pk kem.PublicKey) (ct, ss []byte, err error) { + pub, ok := pk.(*publicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ct1, ss1, err := sch.first.Encapsulate(pub.first) + if err != nil { + return nil, nil, err + } + + ct2, ss2, err := sch.second.Encapsulate(pub.second) + if err != nil { + return nil, nil, err + } + + return append(ct1, ct2...), append(ss1, ss2...), nil +} + +func (sch *scheme) EncapsulateDeterministically(pk kem.PublicKey, seed []byte) ( + ct, ss []byte, err error) { + if len(seed) != sch.EncapsulationSeedSize() { + return nil, nil, kem.ErrSeedSize + } + + h := sha3.NewShake256() + _, _ = h.Write(seed) + first := make([]byte, sch.first.EncapsulationSeedSize()) + second := make([]byte, sch.second.EncapsulationSeedSize()) + _, _ = h.Read(first) + _, _ = h.Read(second) + + pub, ok := pk.(*publicKey) + if !ok { + return nil, nil, kem.ErrTypeMismatch + } + + ct1, ss1, err := sch.first.EncapsulateDeterministically(pub.first, first) + if err != nil { + return nil, nil, err + } + ct2, ss2, err := sch.second.EncapsulateDeterministically(pub.second, second) + if err != nil { + return nil, nil, err + } + return append(ct1, ct2...), append(ss1, ss2...), nil +} + +func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { + if len(ct) != sch.CiphertextSize() { + return nil, kem.ErrCiphertextSize + } + + priv, ok := sk.(*privateKey) + if !ok { + return nil, kem.ErrTypeMismatch + } + + firstSize := sch.first.CiphertextSize() + ss1, err := sch.first.Decapsulate(priv.first, ct[:firstSize]) + if err != nil { + return nil, err + } + ss2, err := sch.second.Decapsulate(priv.second, ct[firstSize:]) + if err != nil { + return nil, err + } + return append(ss1, ss2...), nil +} + +func (sch *scheme) UnmarshalBinaryPublicKey(buf []byte) (kem.PublicKey, error) { + if len(buf) != sch.PublicKeySize() { + return nil, kem.ErrPubKeySize + } + firstSize := sch.first.PublicKeySize() + pk1, err := sch.first.UnmarshalBinaryPublicKey(buf[:firstSize]) + if err != nil { + return nil, err + } + pk2, err := sch.second.UnmarshalBinaryPublicKey(buf[firstSize:]) + if err != nil { + return nil, err + } + return &publicKey{sch, pk1, pk2}, nil +} + +func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) { + if len(buf) != sch.PrivateKeySize() { + return nil, kem.ErrPrivKeySize + } + firstSize := sch.first.PrivateKeySize() + sk1, err := sch.first.UnmarshalBinaryPrivateKey(buf[:firstSize]) + if err != nil { + return nil, err + } + sk2, err := sch.second.UnmarshalBinaryPrivateKey(buf[firstSize:]) + if err != nil { + return nil, err + } + return &privateKey{sch, sk1, sk2}, nil +} diff --git a/src/circl/kem/kem.go b/src/circl/kem/kem.go index 296cca8ff03..9f6c6d3eeed 100644 --- a/src/circl/kem/kem.go +++ b/src/circl/kem/kem.go @@ -26,6 +26,7 @@ type PrivateKey interface { encoding.BinaryMarshaler Equal(PrivateKey) bool + Public() PublicKey } // A Scheme represents a specific instance of a KEM. @@ -33,12 +34,12 @@ type Scheme interface { // Name of the scheme Name() string - // GenerateKey creates a new key pair. - GenerateKey() (PublicKey, PrivateKey, error) + // GenerateKeyPair creates a new key pair. + GenerateKeyPair() (PublicKey, PrivateKey, error) // Encapsulate generates a shared key ss for the public key and // encapsulates it into a ciphertext ct. - Encapsulate(pk PublicKey) (ct []byte, ss []byte, err error) + Encapsulate(pk PublicKey) (ct, ss []byte, err error) // Returns the shared key encapsulated in ciphertext ct for the // private key sk. @@ -62,11 +63,10 @@ type Scheme interface { // Size of packed public keys. PublicKeySize() int - // Deterministicallly derives a keypair from a seed. If you're unsure, - // you're better off using GenerateKey(). - // - // Panics if seed is not of length SeedSize(). - DeriveKey(seed []byte) (PublicKey, PrivateKey) + // DeriveKeyPair deterministicallly derives a pair of keys from a seed. + // Panics if the length of seed is not equal to the value returned by + // SeedSize. + DeriveKeyPair(seed []byte) (PublicKey, PrivateKey) // Size of seed used in DeriveKey SeedSize() int @@ -81,6 +81,14 @@ type Scheme interface { EncapsulationSeedSize() int } +// AuthScheme represents a KEM that supports authenticated key encapsulation. +type AuthScheme interface { + Scheme + AuthEncapsulate(pkr PublicKey, sks PrivateKey) (ct, ss []byte, err error) + AuthEncapsulateDeterministically(pkr PublicKey, sks PrivateKey, seed []byte) (ct, ss []byte, err error) + AuthDecapsulate(skr PrivateKey, ct []byte, pks PublicKey) ([]byte, error) +} + var ( // ErrTypeMismatch is the error used if types of, for instance, private // and public keys don't match diff --git a/src/circl/kem/kyber/kat_test.go b/src/circl/kem/kyber/kat_test.go index f9dc4753665..710be078e93 100644 --- a/src/circl/kem/kyber/kat_test.go +++ b/src/circl/kem/kyber/kat_test.go @@ -59,7 +59,7 @@ func testPQCgenKATKem(t *testing.T, name, expected string) { g2.Fill(kseed[32:]) g2.Fill(eseed) - pk, sk := scheme.DeriveKey(kseed) + pk, sk := scheme.DeriveKeyPair(kseed) ppk, _ := pk.MarshalBinary() psk, _ := sk.MarshalBinary() ct, ss, _ := scheme.EncapsulateDeterministically(pk, eseed) diff --git a/src/circl/kem/kyber/kyber1024/kyber.go b/src/circl/kem/kyber/kyber1024/kyber.go index ce4c87cfde4..4cdc5cca240 100644 --- a/src/circl/kem/kyber/kyber1024/kyber.go +++ b/src/circl/kem/kyber/kyber1024/kyber.go @@ -1,6 +1,6 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// kyber1024 implements the IND-CCA2 secure key encapsulation mechanism +// Package kyber1024 implements the IND-CCA2 secure key encapsulation mechanism // Kyber1024.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // @@ -8,11 +8,10 @@ package kyber1024 import ( + "circl/internal/sha3" "circl/kem" cpapke "circl/pke/kyber/kyber1024" - "circl/internal/sha3" - "bytes" cryptoRand "crypto/rand" "crypto/subtle" @@ -73,7 +72,7 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { // Compute H(pk) var ppk [cpapke.PublicKeySize]byte sk.pk.Pack(ppk[:]) - h := sha3.New256() // XXX use internal sha3 + h := sha3.New256() h.Write(ppk[:]) h.Sum(sk.hpk[:0]) copy(pk.hpk[:], sk.hpk[:]) @@ -81,9 +80,9 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { return &pk, &sk } -// GenerateKey generates a public/private keypair using entropy from rand. +// GenerateKeyPair generates public and private keys using entropy from rand. // If rand is nil, crypto/rand.Reader will be used. -func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (*PublicKey, *PrivateKey, error) { var seed [KeySeedSize]byte if rand == nil { rand = cryptoRand.Reader @@ -317,17 +316,24 @@ func (pk *PublicKey) Equal(other kem.PublicKey) bool { return bytes.Equal(pk.hpk[:], oth.hpk[:]) } +func (sk *PrivateKey) Public() kem.PublicKey { + pk := new(PublicKey) + pk.pk = sk.pk + copy(pk.hpk[:], sk.hpk[:]) + return pk +} + func (pk *PublicKey) MarshalBinary() ([]byte, error) { var ret [PublicKeySize]byte pk.Pack(ret[:]) return ret[:], nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != KeySeedSize { panic(kem.ErrSeedSize) } diff --git a/src/circl/kem/kyber/kyber512/kyber.go b/src/circl/kem/kyber/kyber512/kyber.go index 8bf036cf148..45b0fc9d057 100644 --- a/src/circl/kem/kyber/kyber512/kyber.go +++ b/src/circl/kem/kyber/kyber512/kyber.go @@ -1,6 +1,6 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// kyber512 implements the IND-CCA2 secure key encapsulation mechanism +// Package kyber512 implements the IND-CCA2 secure key encapsulation mechanism // Kyber512.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // @@ -8,11 +8,10 @@ package kyber512 import ( + "circl/internal/sha3" "circl/kem" cpapke "circl/pke/kyber/kyber512" - "circl/internal/sha3" - "bytes" cryptoRand "crypto/rand" "crypto/subtle" @@ -73,7 +72,7 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { // Compute H(pk) var ppk [cpapke.PublicKeySize]byte sk.pk.Pack(ppk[:]) - h := sha3.New256() // XXX use internal sha3 + h := sha3.New256() h.Write(ppk[:]) h.Sum(sk.hpk[:0]) copy(pk.hpk[:], sk.hpk[:]) @@ -81,9 +80,9 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { return &pk, &sk } -// GenerateKey generates a public/private keypair using entropy from rand. +// GenerateKeyPair generates public and private keys using entropy from rand. // If rand is nil, crypto/rand.Reader will be used. -func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (*PublicKey, *PrivateKey, error) { var seed [KeySeedSize]byte if rand == nil { rand = cryptoRand.Reader @@ -317,17 +316,24 @@ func (pk *PublicKey) Equal(other kem.PublicKey) bool { return bytes.Equal(pk.hpk[:], oth.hpk[:]) } +func (sk *PrivateKey) Public() kem.PublicKey { + pk := new(PublicKey) + pk.pk = sk.pk + copy(pk.hpk[:], sk.hpk[:]) + return pk +} + func (pk *PublicKey) MarshalBinary() ([]byte, error) { var ret [PublicKeySize]byte pk.Pack(ret[:]) return ret[:], nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != KeySeedSize { panic(kem.ErrSeedSize) } diff --git a/src/circl/kem/kyber/kyber768/kyber.go b/src/circl/kem/kyber/kyber768/kyber.go index 3ae4466c37c..70232c6b52b 100644 --- a/src/circl/kem/kyber/kyber768/kyber.go +++ b/src/circl/kem/kyber/kyber768/kyber.go @@ -1,6 +1,6 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// kyber768 implements the IND-CCA2 secure key encapsulation mechanism +// Package kyber768 implements the IND-CCA2 secure key encapsulation mechanism // Kyber768.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // @@ -8,11 +8,10 @@ package kyber768 import ( + "circl/internal/sha3" "circl/kem" cpapke "circl/pke/kyber/kyber768" - "circl/internal/sha3" - "bytes" cryptoRand "crypto/rand" "crypto/subtle" @@ -73,7 +72,7 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { // Compute H(pk) var ppk [cpapke.PublicKeySize]byte sk.pk.Pack(ppk[:]) - h := sha3.New256() // XXX use internal sha3 + h := sha3.New256() h.Write(ppk[:]) h.Sum(sk.hpk[:0]) copy(pk.hpk[:], sk.hpk[:]) @@ -81,9 +80,9 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { return &pk, &sk } -// GenerateKey generates a public/private keypair using entropy from rand. +// GenerateKeyPair generates public and private keys using entropy from rand. // If rand is nil, crypto/rand.Reader will be used. -func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (*PublicKey, *PrivateKey, error) { var seed [KeySeedSize]byte if rand == nil { rand = cryptoRand.Reader @@ -317,17 +316,24 @@ func (pk *PublicKey) Equal(other kem.PublicKey) bool { return bytes.Equal(pk.hpk[:], oth.hpk[:]) } +func (sk *PrivateKey) Public() kem.PublicKey { + pk := new(PublicKey) + pk.pk = sk.pk + copy(pk.hpk[:], sk.hpk[:]) + return pk +} + func (pk *PublicKey) MarshalBinary() ([]byte, error) { var ret [PublicKeySize]byte pk.Pack(ret[:]) return ret[:], nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != KeySeedSize { panic(kem.ErrSeedSize) } diff --git a/src/circl/kem/kyber/templates/pkg.templ.go b/src/circl/kem/kyber/templates/pkg.templ.go index 71ee22d69df..3d6edd32a99 100644 --- a/src/circl/kem/kyber/templates/pkg.templ.go +++ b/src/circl/kem/kyber/templates/pkg.templ.go @@ -4,7 +4,7 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// {{.Pkg}} implements the IND-CCA2 secure key encapsulation mechanism +// Package {{.Pkg}} implements the IND-CCA2 secure key encapsulation mechanism // {{.Name}}.CCAKEM as submitted to round 3 of the NIST PQC competition and // described in // @@ -12,11 +12,10 @@ package {{.Pkg}} import ( + "circl/internal/sha3" "circl/kem" cpapke "circl/pke/kyber/{{.Pkg}}" - "circl/internal/sha3" - "bytes" cryptoRand "crypto/rand" "crypto/subtle" @@ -77,7 +76,7 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { // Compute H(pk) var ppk [cpapke.PublicKeySize]byte sk.pk.Pack(ppk[:]) - h := sha3.New256() // XXX use internal sha3 + h := sha3.New256() h.Write(ppk[:]) h.Sum(sk.hpk[:0]) copy(pk.hpk[:], sk.hpk[:]) @@ -85,9 +84,9 @@ func NewKeyFromSeed(seed []byte) (*PublicKey, *PrivateKey) { return &pk, &sk } -// GenerateKey generates a public/private keypair using entropy from rand. +// GenerateKeyPair generates public and private keys using entropy from rand. // If rand is nil, crypto/rand.Reader will be used. -func GenerateKey(rand io.Reader) (*PublicKey, *PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (*PublicKey, *PrivateKey, error) { var seed [KeySeedSize]byte if rand == nil { rand = cryptoRand.Reader @@ -321,17 +320,24 @@ func (pk *PublicKey) Equal(other kem.PublicKey) bool { return bytes.Equal(pk.hpk[:], oth.hpk[:]) } +func (sk *PrivateKey) Public() kem.PublicKey { + pk := new(PublicKey) + pk.pk = sk.pk + copy(pk.hpk[:], sk.hpk[:]) + return pk +} + func (pk *PublicKey) MarshalBinary() ([]byte, error) { var ret [PublicKeySize]byte pk.Pack(ret[:]) return ret[:], nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != KeySeedSize { panic(kem.ErrSeedSize) } diff --git a/src/circl/kem/schemes/schemes.go b/src/circl/kem/schemes/schemes.go index 8d45e2d4b48..6c4e8564457 100644 --- a/src/circl/kem/schemes/schemes.go +++ b/src/circl/kem/schemes/schemes.go @@ -1,10 +1,22 @@ // Package schemes contains a register of KEM schemes. +// +// Schemes Implemented +// +// Based on standard elliptic curves: +// HPKE_KEM_P256_HKDF_SHA256, HPKE_KEM_P384_HKDF_SHA384, HPKE_KEM_P521_HKDF_SHA512 +// Based on standard Diffie-Hellman functions: +// HPKE_KEM_X25519_HKDF_SHA256, HPKE_KEM_X448_HKDF_SHA512 +// Post-quantum kems: +// Kyber512, Kyber768, Kyber1024 +// SIKEp434, SIKEp503, SIKEp751 package schemes import ( "strings" + "circl/hpke" "circl/kem" + "circl/kem/hybrid" "circl/kem/kyber/kyber1024" "circl/kem/kyber/kyber512" "circl/kem/kyber/kyber768" @@ -14,12 +26,18 @@ import ( ) var allSchemes = [...]kem.Scheme{ + hpke.KEM_P256_HKDF_SHA256.Scheme(), + hpke.KEM_P384_HKDF_SHA384.Scheme(), + hpke.KEM_P521_HKDF_SHA512.Scheme(), + hpke.KEM_X25519_HKDF_SHA256.Scheme(), + hpke.KEM_X448_HKDF_SHA512.Scheme(), kyber512.Scheme(), kyber768.Scheme(), kyber1024.Scheme(), sikep434.Scheme(), sikep503.Scheme(), sikep751.Scheme(), + hybrid.KyberSike(), // XXX temporary for testing } var allSchemeNames map[string]kem.Scheme diff --git a/src/circl/kem/schemes/schemes_test.go b/src/circl/kem/schemes/schemes_test.go index 3cc3b1d281d..fdd55c11335 100644 --- a/src/circl/kem/schemes/schemes_test.go +++ b/src/circl/kem/schemes/schemes_test.go @@ -2,6 +2,7 @@ package schemes_test import ( "bytes" + "fmt" "testing" "circl/kem/schemes" @@ -13,13 +14,13 @@ func TestCaseSensitivity(t *testing.T) { } } -func BenchmarkGenerateKey(b *testing.B) { +func BenchmarkGenerateKeyPair(b *testing.B) { allSchemes := schemes.All() for _, scheme := range allSchemes { scheme := scheme b.Run(scheme.Name(), func(b *testing.B) { for i := 0; i < b.N; i++ { - _, _, _ = scheme.GenerateKey() + _, _, _ = scheme.GenerateKeyPair() } }) } @@ -29,7 +30,7 @@ func BenchmarkEncapsulate(b *testing.B) { allSchemes := schemes.All() for _, scheme := range allSchemes { scheme := scheme - pk, _, _ := scheme.GenerateKey() + pk, _, _ := scheme.GenerateKeyPair() b.Run(scheme.Name(), func(b *testing.B) { for i := 0; i < b.N; i++ { _, _, _ = scheme.Encapsulate(pk) @@ -42,7 +43,7 @@ func BenchmarkDecapsulate(b *testing.B) { allSchemes := schemes.All() for _, scheme := range allSchemes { scheme := scheme - pk, sk, _ := scheme.GenerateKey() + pk, sk, _ := scheme.GenerateKeyPair() ct, _, _ := scheme.Encapsulate(pk) b.Run(scheme.Name(), func(b *testing.B) { for i := 0; i < b.N; i++ { @@ -61,7 +62,7 @@ func TestApi(t *testing.T) { t.Fatal() } - pk, sk, err := scheme.GenerateKey() + pk, sk, err := scheme.GenerateKeyPair() if err != nil { t.Fatal() } @@ -123,3 +124,24 @@ func TestApi(t *testing.T) { }) } } + +func Example_schemes() { + // import "circl/kem/schemes" + + for _, sch := range schemes.All() { + fmt.Println(sch.Name()) + } + // Output: + // HPKE_KEM_P256_HKDF_SHA256 + // HPKE_KEM_P384_HKDF_SHA384 + // HPKE_KEM_P521_HKDF_SHA512 + // HPKE_KEM_X25519_HKDF_SHA256 + // HPKE_KEM_X448_HKDF_SHA512 + // Kyber512 + // Kyber768 + // Kyber1024 + // SIKEp434 + // SIKEp503 + // SIKEp751 + // Temporary-Kyber-Sike +} diff --git a/src/circl/kem/sike/sikep434/sike.go b/src/circl/kem/sike/sikep434/sike.go index 5eb65cbac05..c97ac8d29fe 100644 --- a/src/circl/kem/sike/sikep434/sike.go +++ b/src/circl/kem/sike/sikep434/sike.go @@ -1,6 +1,6 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// sikep434 implements the key encapsulation mechanism SIKEp434. +// Package sikep434 implements the key encapsulation mechanism SIKEp434. package sikep434 import ( @@ -14,7 +14,11 @@ import ( "io" ) -type PrivateKey sidh.PrivateKey +type PrivateKey struct { + sk *sidh.PrivateKey + pk *sidh.PublicKey +} + type PublicKey sidh.PublicKey const ( @@ -43,9 +47,8 @@ func (sk *PrivateKey) Scheme() kem.Scheme { return sch } func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { - csk := (*sidh.PrivateKey)(sk) - ret := make([]byte, csk.Size()) - csk.Export(ret) + ret := make([]byte, sk.sk.Size()) + sk.sk.Export(ret) return ret, nil } @@ -59,6 +62,14 @@ func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { return subtle.ConstantTimeCompare(a, b) == 1 } +func (sk *PrivateKey) Public() kem.PublicKey { + if sk.pk == nil { + sk.pk = sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) + sk.sk.GeneratePublicKey(sk.pk) + } + return (*PublicKey)(sk.pk) +} + func (pk *PublicKey) Equal(other kem.PublicKey) bool { oth, ok := other.(*PublicKey) if !ok { @@ -76,30 +87,28 @@ func (pk *PublicKey) MarshalBinary() ([]byte, error) { return ret, nil } -func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { sk := sidh.NewPrivateKey(sidh.Fp434, sidh.KeyVariantSike) - pk := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) if err := sk.Generate(rand); err != nil { return nil, nil, err } + priv := &PrivateKey{sk: sk} - sk.GeneratePublicKey(pk) - - return (*PublicKey)(pk), (*PrivateKey)(sk), nil + return priv.Public(), priv, nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != SeedSize { panic(kem.ErrSeedSize) } h := sha3.NewShake256() _, _ = h.Write(seed[:]) - pk, sk, err := GenerateKey(&h) + pk, sk, err := GenerateKeyPair(&h) if err != nil { panic(err) @@ -147,15 +156,13 @@ func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { return nil, kem.ErrTypeMismatch } - sikePriv := (*sidh.PrivateKey)(priv) - sikePub := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) - sikePriv.GeneratePublicKey(sikePub) + priv.sk.GeneratePublicKey(sikePub) ss := make([]byte, sch.SharedKeySize()) ctx := sidh.NewSike434(nil) - if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + if err := ctx.Decapsulate(ss, priv.sk, sikePub, ct); err != nil { return nil, err } @@ -181,7 +188,7 @@ func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) if err := sk.Import(buf); err != nil { return nil, err } - return (*PrivateKey)(sk), nil + return &PrivateKey{sk: sk}, nil } func init() { diff --git a/src/circl/kem/sike/sikep503/sike.go b/src/circl/kem/sike/sikep503/sike.go index 7197e50f8c7..3bd699273ef 100644 --- a/src/circl/kem/sike/sikep503/sike.go +++ b/src/circl/kem/sike/sikep503/sike.go @@ -1,6 +1,6 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// sikep503 implements the key encapsulation mechanism SIKEp503. +// Package sikep503 implements the key encapsulation mechanism SIKEp503. package sikep503 import ( @@ -14,7 +14,11 @@ import ( "io" ) -type PrivateKey sidh.PrivateKey +type PrivateKey struct { + sk *sidh.PrivateKey + pk *sidh.PublicKey +} + type PublicKey sidh.PublicKey const ( @@ -43,9 +47,8 @@ func (sk *PrivateKey) Scheme() kem.Scheme { return sch } func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { - csk := (*sidh.PrivateKey)(sk) - ret := make([]byte, csk.Size()) - csk.Export(ret) + ret := make([]byte, sk.sk.Size()) + sk.sk.Export(ret) return ret, nil } @@ -59,6 +62,14 @@ func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { return subtle.ConstantTimeCompare(a, b) == 1 } +func (sk *PrivateKey) Public() kem.PublicKey { + if sk.pk == nil { + sk.pk = sidh.NewPublicKey(sidh.Fp503, sidh.KeyVariantSike) + sk.sk.GeneratePublicKey(sk.pk) + } + return (*PublicKey)(sk.pk) +} + func (pk *PublicKey) Equal(other kem.PublicKey) bool { oth, ok := other.(*PublicKey) if !ok { @@ -76,30 +87,28 @@ func (pk *PublicKey) MarshalBinary() ([]byte, error) { return ret, nil } -func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { sk := sidh.NewPrivateKey(sidh.Fp503, sidh.KeyVariantSike) - pk := sidh.NewPublicKey(sidh.Fp503, sidh.KeyVariantSike) if err := sk.Generate(rand); err != nil { return nil, nil, err } + priv := &PrivateKey{sk: sk} - sk.GeneratePublicKey(pk) - - return (*PublicKey)(pk), (*PrivateKey)(sk), nil + return priv.Public(), priv, nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != SeedSize { panic(kem.ErrSeedSize) } h := sha3.NewShake256() _, _ = h.Write(seed[:]) - pk, sk, err := GenerateKey(&h) + pk, sk, err := GenerateKeyPair(&h) if err != nil { panic(err) @@ -147,15 +156,13 @@ func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { return nil, kem.ErrTypeMismatch } - sikePriv := (*sidh.PrivateKey)(priv) - sikePub := sidh.NewPublicKey(sidh.Fp503, sidh.KeyVariantSike) - sikePriv.GeneratePublicKey(sikePub) + priv.sk.GeneratePublicKey(sikePub) ss := make([]byte, sch.SharedKeySize()) ctx := sidh.NewSike503(nil) - if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + if err := ctx.Decapsulate(ss, priv.sk, sikePub, ct); err != nil { return nil, err } @@ -181,7 +188,7 @@ func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) if err := sk.Import(buf); err != nil { return nil, err } - return (*PrivateKey)(sk), nil + return &PrivateKey{sk: sk}, nil } func init() { diff --git a/src/circl/kem/sike/sikep751/sike.go b/src/circl/kem/sike/sikep751/sike.go index 701e4b8b243..2ed61eb324f 100644 --- a/src/circl/kem/sike/sikep751/sike.go +++ b/src/circl/kem/sike/sikep751/sike.go @@ -1,6 +1,6 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// sikep751 implements the key encapsulation mechanism SIKEp751. +// Package sikep751 implements the key encapsulation mechanism SIKEp751. package sikep751 import ( @@ -14,7 +14,11 @@ import ( "io" ) -type PrivateKey sidh.PrivateKey +type PrivateKey struct { + sk *sidh.PrivateKey + pk *sidh.PublicKey +} + type PublicKey sidh.PublicKey const ( @@ -43,9 +47,8 @@ func (sk *PrivateKey) Scheme() kem.Scheme { return sch } func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { - csk := (*sidh.PrivateKey)(sk) - ret := make([]byte, csk.Size()) - csk.Export(ret) + ret := make([]byte, sk.sk.Size()) + sk.sk.Export(ret) return ret, nil } @@ -59,6 +62,14 @@ func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { return subtle.ConstantTimeCompare(a, b) == 1 } +func (sk *PrivateKey) Public() kem.PublicKey { + if sk.pk == nil { + sk.pk = sidh.NewPublicKey(sidh.Fp751, sidh.KeyVariantSike) + sk.sk.GeneratePublicKey(sk.pk) + } + return (*PublicKey)(sk.pk) +} + func (pk *PublicKey) Equal(other kem.PublicKey) bool { oth, ok := other.(*PublicKey) if !ok { @@ -76,30 +87,28 @@ func (pk *PublicKey) MarshalBinary() ([]byte, error) { return ret, nil } -func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { sk := sidh.NewPrivateKey(sidh.Fp751, sidh.KeyVariantSike) - pk := sidh.NewPublicKey(sidh.Fp751, sidh.KeyVariantSike) if err := sk.Generate(rand); err != nil { return nil, nil, err } + priv := &PrivateKey{sk: sk} - sk.GeneratePublicKey(pk) - - return (*PublicKey)(pk), (*PrivateKey)(sk), nil + return priv.Public(), priv, nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != SeedSize { panic(kem.ErrSeedSize) } h := sha3.NewShake256() _, _ = h.Write(seed[:]) - pk, sk, err := GenerateKey(&h) + pk, sk, err := GenerateKeyPair(&h) if err != nil { panic(err) @@ -147,15 +156,13 @@ func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { return nil, kem.ErrTypeMismatch } - sikePriv := (*sidh.PrivateKey)(priv) - sikePub := sidh.NewPublicKey(sidh.Fp751, sidh.KeyVariantSike) - sikePriv.GeneratePublicKey(sikePub) + priv.sk.GeneratePublicKey(sikePub) ss := make([]byte, sch.SharedKeySize()) ctx := sidh.NewSike751(nil) - if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + if err := ctx.Decapsulate(ss, priv.sk, sikePub, ct); err != nil { return nil, err } @@ -181,7 +188,7 @@ func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) if err := sk.Import(buf); err != nil { return nil, err } - return (*PrivateKey)(sk), nil + return &PrivateKey{sk: sk}, nil } func init() { diff --git a/src/circl/kem/sike/templates/pkg.templ.go b/src/circl/kem/sike/templates/pkg.templ.go index 0818b3361dc..948cf013ca7 100644 --- a/src/circl/kem/sike/templates/pkg.templ.go +++ b/src/circl/kem/sike/templates/pkg.templ.go @@ -4,7 +4,7 @@ // Code generated from pkg.templ.go. DO NOT EDIT. -// {{.Pkg}} implements the key encapsulation mechanism {{.Name}}. +// Package {{.Pkg}} implements the key encapsulation mechanism {{.Name}}. package {{.Pkg}} import ( @@ -18,7 +18,11 @@ import ( "io" ) -type PrivateKey sidh.PrivateKey +type PrivateKey struct { + sk *sidh.PrivateKey + pk *sidh.PublicKey +} + type PublicKey sidh.PublicKey const ( @@ -47,9 +51,8 @@ func (sk *PrivateKey) Scheme() kem.Scheme { return sch } func (pk *PublicKey) Scheme() kem.Scheme { return sch } func (sk *PrivateKey) MarshalBinary() ([]byte, error) { - csk := (*sidh.PrivateKey)(sk) - ret := make([]byte, csk.Size()) - csk.Export(ret) + ret := make([]byte, sk.sk.Size()) + sk.sk.Export(ret) return ret, nil } @@ -63,6 +66,14 @@ func (sk *PrivateKey) Equal(other kem.PrivateKey) bool { return subtle.ConstantTimeCompare(a, b) == 1 } +func (sk *PrivateKey) Public() kem.PublicKey { + if sk.pk == nil { + sk.pk = sidh.NewPublicKey(sidh.{{.Field}}, sidh.KeyVariantSike) + sk.sk.GeneratePublicKey(sk.pk) + } + return (*PublicKey)(sk.pk) +} + func (pk *PublicKey) Equal(other kem.PublicKey) bool { oth, ok := other.(*PublicKey) if !ok { @@ -80,30 +91,28 @@ func (pk *PublicKey) MarshalBinary() ([]byte, error) { return ret, nil } -func GenerateKey(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { +func GenerateKeyPair(rand io.Reader) (kem.PublicKey, kem.PrivateKey, error) { sk := sidh.NewPrivateKey(sidh.{{.Field}}, sidh.KeyVariantSike) - pk := sidh.NewPublicKey(sidh.{{.Field}}, sidh.KeyVariantSike) if err := sk.Generate(rand); err != nil { return nil, nil, err } + priv := &PrivateKey{sk: sk} - sk.GeneratePublicKey(pk) - - return (*PublicKey)(pk), (*PrivateKey)(sk), nil + return priv.Public(), priv, nil } -func (*scheme) GenerateKey() (kem.PublicKey, kem.PrivateKey, error) { - return GenerateKey(cryptoRand.Reader) +func (*scheme) GenerateKeyPair() (kem.PublicKey, kem.PrivateKey, error) { + return GenerateKeyPair(cryptoRand.Reader) } -func (*scheme) DeriveKey(seed []byte) (kem.PublicKey, kem.PrivateKey) { +func (*scheme) DeriveKeyPair(seed []byte) (kem.PublicKey, kem.PrivateKey) { if len(seed) != SeedSize { panic(kem.ErrSeedSize) } h := sha3.NewShake256() _, _ = h.Write(seed[:]) - pk, sk, err := GenerateKey(&h) + pk, sk, err := GenerateKeyPair(&h) if err != nil { panic(err) @@ -151,15 +160,13 @@ func (sch *scheme) Decapsulate(sk kem.PrivateKey, ct []byte) ([]byte, error) { return nil, kem.ErrTypeMismatch } - sikePriv := (*sidh.PrivateKey)(priv) - sikePub := sidh.NewPublicKey(sidh.{{.Field}}, sidh.KeyVariantSike) - sikePriv.GeneratePublicKey(sikePub) + priv.sk.GeneratePublicKey(sikePub) ss := make([]byte, sch.SharedKeySize()) ctx := sidh.NewSike{{.Bits}}(nil) - if err := ctx.Decapsulate(ss, sikePriv, sikePub, ct); err != nil { + if err := ctx.Decapsulate(ss, priv.sk, sikePub, ct); err != nil { return nil, err } @@ -185,7 +192,7 @@ func (sch *scheme) UnmarshalBinaryPrivateKey(buf []byte) (kem.PrivateKey, error) if err := sk.Import(buf); err != nil { return nil, err } - return (*PrivateKey)(sk), nil + return &PrivateKey{sk: sk}, nil } func init() { diff --git a/src/circl/simd/keccakf1600/f1600x.go b/src/circl/simd/keccakf1600/f1600x.go new file mode 100644 index 00000000000..42da7136306 --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x.go @@ -0,0 +1,146 @@ +// Package keccakf1600 provides a two and four-way Keccak-f[1600] permutation in parallel. +// +// Keccak-f[1600] is the permutation underlying several algorithms such as +// Keccak, SHA3 and SHAKE. Running two or four permutations in parallel is +// useful in some scenarios like in hash-based signatures. +// +// Limitations +// +// Note that not all the architectures support SIMD instructions. This package +// uses AVX2 instructions that are available in some AMD64 architectures +// and NEON instructions that are available in some ARM64 architectures. +// +// For those systems not supporting these, the package still provides the +// expected functionality by means of a generic and slow implementation. +// The recommendation is to beforehand verify IsEnabledX4() and IsEnabledX2() +// to determine if the current system supports the SIMD implementation. +package keccakf1600 + +import ( + "unsafe" + + "circl/internal/sha3" + "internal/cpu" +) + +// StateX4 contains state for the four-way permutation including the four +// interleaved [25]uint64 buffers. Call Initialize() before use to initialize +// and get a pointer to the interleaved buffer. +type StateX4 struct { + // Go guarantees a to be aligned on 8 bytes, whereas we need it to be + // aligned on 32 bytes for bet performance. Thus we leave some headroom + // to be able to move the start of the state. + + // 4 x 25 uint64s for the interleaved states and three uint64s headroom + // to fix alignment. + a [103]uint64 + + // Offset into a that is 32 byte aligned. + offset int +} + +// StateX2 contains state for the two-way permutation including the two +// interleaved [25]uint64 buffers. Call Initialize() before use to initialize +// and get a pointer to the interleaved buffer. +type StateX2 struct { + // Go guarantees a to be aligned on 8 bytes, whereas we need it to be + // aligned on 32 bytes for bet performance. Thus we leave some headroom + // to be able to move the start of the state. + + // 2 x 25 uint64s for the interleaved states and three uint64s headroom + // to fix alignment. + a [53]uint64 + + // Offset into a that is 32 byte aligned. + offset int +} + +// IsEnabledX4 returns true if the architecture supports a four-way SIMD +// implementation provided in this package. +func IsEnabledX4() bool { return cpu.X86.HasAVX2 } + +// IsEnabledX2 returns true if the architecture supports a two-way SIMD +// implementation provided in this package. +func IsEnabledX2() bool { return cpu.ARM64.HasSHA3 } + +// Initialize the state and returns the buffer on which the four permutations +// will act: a uint64 slice of length 100. The first permutation will act +// on {a[0], a[4], ..., a[96]}, the second on {a[1], a[5], ..., a[97]}, etc. +func (s *StateX4) Initialize() []uint64 { + rp := unsafe.Pointer(&s.a[0]) + + // uint64s are always aligned by a multiple of 8. Compute the remainder + // of the address modulo 32 divided by 8. + rem := (int(uintptr(rp)&31) >> 3) + + if rem != 0 { + s.offset = 4 - rem + } + + // The slice we return will be aligned on 32 byte boundary. + return s.a[s.offset : s.offset+100] +} + +// Initialize the state and returns the buffer on which the two permutations +// will act: a uint64 slice of length 50. The first permutation will act +// on {a[0], a[2], ..., a[48]} and the second on {a[1], a[3], ..., a[49]}. +func (s *StateX2) Initialize() []uint64 { + rp := unsafe.Pointer(&s.a[0]) + + // uint64s are always aligned by a multiple of 8. Compute the remainder + // of the address modulo 32 divided by 8. + rem := (int(uintptr(rp)&31) >> 3) + + if rem != 0 { + s.offset = 4 - rem + } + + // The slice we return will be aligned on 32 byte boundary. + return s.a[s.offset : s.offset+50] +} + +// Permute performs the four parallel Keccak-f[1600]s interleaved on the slice +// returned from Initialize(). +func (s *StateX4) Permute() { + if IsEnabledX4() { + permuteSIMDx4(s.a[s.offset:]) + } else { + permuteScalarX4(s.a[s.offset:]) // A slower generic implementation. + } +} + +// Permute performs the two parallel Keccak-f[1600]s interleaved on the slice +// returned from Initialize(). +func (s *StateX2) Permute() { + if IsEnabledX2() { + permuteSIMDx2(s.a[s.offset:]) + } else { + permuteScalarX2(s.a[s.offset:]) // A slower generic implementation. + } +} + +func permuteScalarX4(a []uint64) { + var buf [25]uint64 + for i := 0; i < 4; i++ { + for j := 0; j < 25; j++ { + buf[j] = a[4*j+i] + } + sha3.KeccakF1600(&buf) + for j := 0; j < 25; j++ { + a[4*j+i] = buf[j] + } + } +} + +func permuteScalarX2(a []uint64) { + var buf [25]uint64 + for i := 0; i < 2; i++ { + for j := 0; j < 25; j++ { + buf[j] = a[2*j+i] + } + sha3.KeccakF1600(&buf) + for j := 0; j < 25; j++ { + a[2*j+i] = buf[j] + } + } +} diff --git a/src/circl/simd/keccakf1600/f1600x2_arm64.go b/src/circl/simd/keccakf1600/f1600x2_arm64.go new file mode 100644 index 00000000000..dd742dc4d39 --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x2_arm64.go @@ -0,0 +1,12 @@ +// +build arm64,go1.16 + +package keccakf1600 + +import "circl/internal/sha3" + +func permuteSIMDx2(state []uint64) { f1600x2ARM(&state[0], &sha3.RC) } + +func permuteSIMDx4(state []uint64) { permuteScalarX4(state) } + +//go:noescape +func f1600x2ARM(state *uint64, rc *[24]uint64) diff --git a/src/circl/simd/keccakf1600/f1600x2_arm64.s b/src/circl/simd/keccakf1600/f1600x2_arm64.s new file mode 100644 index 00000000000..1e8547f9b80 --- /dev/null +++ b/src/circl/simd/keccakf1600/f1600x2_arm64.s @@ -0,0 +1,130 @@ +// +build arm64,go1.16 + +// Taken from https://github.com/bwesterb/armed-keccak + +#include "textflag.h" + +// func f1600x2ARM(state *uint64, rc *[24]uint64) +TEXT ·f1600x2ARM(SB), NOSPLIT, $0-16 + MOVD state+0(FP), R0 + MOVD rc+8(FP), R1 + MOVD R0, R2 + MOVD $24, R3 + + VLD1.P 64(R0), [ V0.B16, V1.B16, V2.B16, V3.B16] + VLD1.P 64(R0), [ V4.B16, V5.B16, V6.B16, V7.B16] + VLD1.P 64(R0), [ V8.B16, V9.B16, V10.B16, V11.B16] + VLD1.P 64(R0), [V12.B16, V13.B16, V14.B16, V15.B16] + VLD1.P 64(R0), [V16.B16, V17.B16, V18.B16, V19.B16] + VLD1.P 64(R0), [V20.B16, V21.B16, V22.B16, V23.B16] + VLD1.P (R0), [V24.B16] + +loop: + // Execute theta but without xorring into the state yet. + VEOR3 V10.B16, V5.B16, V0.B16, V25.B16 + VEOR3 V11.B16, V6.B16, V1.B16, V26.B16 + VEOR3 V12.B16, V7.B16, V2.B16, V27.B16 + VEOR3 V13.B16, V8.B16, V3.B16, V28.B16 + VEOR3 V14.B16, V9.B16, V4.B16, V29.B16 + + VEOR3 V20.B16, V15.B16, V25.B16, V25.B16 + VEOR3 V21.B16, V16.B16, V26.B16, V26.B16 + VEOR3 V22.B16, V17.B16, V27.B16, V27.B16 + VEOR3 V23.B16, V18.B16, V28.B16, V28.B16 + VEOR3 V24.B16, V19.B16, V29.B16, V29.B16 + + // Xor parities from step theta into the state at the same time as + // exeuting rho and pi. + VRAX1 V26.D2, V29.D2, V30.D2 + VRAX1 V29.D2, V27.D2, V29.D2 + VRAX1 V27.D2, V25.D2, V27.D2 + VRAX1 V25.D2, V28.D2, V25.D2 + VRAX1 V28.D2, V26.D2, V28.D2 + + VEOR V30.B16, V0.B16, V0.B16 + VMOV V1.B16, V31.B16 + + VXAR $20, V27.D2, V6.D2, V1.D2 + VXAR $44, V25.D2, V9.D2, V6.D2 + VXAR $3 , V28.D2, V22.D2, V9.D2 + VXAR $25, V25.D2, V14.D2, V22.D2 + VXAR $46, V30.D2, V20.D2, V14.D2 + VXAR $2 , V28.D2, V2.D2, V20.D2 + VXAR $21, V28.D2, V12.D2, V2.D2 + VXAR $39, V29.D2, V13.D2, V12.D2 + VXAR $56, V25.D2, V19.D2, V13.D2 + VXAR $8 , V29.D2, V23.D2, V19.D2 + VXAR $23, V30.D2, V15.D2, V23.D2 + VXAR $37, V25.D2, V4.D2, V15.D2 + VXAR $50, V25.D2, V24.D2, V4.D2 + VXAR $62, V27.D2, V21.D2, V24.D2 + VXAR $9 , V29.D2, V8.D2, V21.D2 + VXAR $19, V27.D2, V16.D2, V8.D2 + VXAR $28, V30.D2, V5.D2, V16.D2 + VXAR $36, V29.D2, V3.D2, V5.D2 + VXAR $43, V29.D2, V18.D2, V3.D2 + VXAR $49, V28.D2, V17.D2, V18.D2 + VXAR $54, V27.D2, V11.D2, V17.D2 + VXAR $58, V28.D2, V7.D2, V11.D2 + VXAR $61, V30.D2, V10.D2, V7.D2 + VXAR $63, V27.D2, V31.D2, V10.D2 + + // Chi + VBCAX V1.B16, V2.B16, V0.B16, V25.B16 + VBCAX V2.B16, V3.B16, V1.B16, V26.B16 + VBCAX V3.B16, V4.B16, V2.B16, V2.B16 + VBCAX V4.B16, V0.B16, V3.B16, V3.B16 + VBCAX V0.B16, V1.B16, V4.B16, V4.B16 + VMOV V25.B16, V0.B16 + VMOV V26.B16, V1.B16 + + VBCAX V6.B16, V7.B16, V5.B16, V25.B16 + VBCAX V7.B16, V8.B16, V6.B16, V26.B16 + VBCAX V8.B16, V9.B16, V7.B16, V7.B16 + VBCAX V9.B16, V5.B16, V8.B16, V8.B16 + VBCAX V5.B16, V6.B16, V9.B16, V9.B16 + VMOV V25.B16, V5.B16 + VMOV V26.B16, V6.B16 + + VBCAX V11.B16, V12.B16, V10.B16, V25.B16 + VBCAX V12.B16, V13.B16, V11.B16, V26.B16 + VBCAX V13.B16, V14.B16, V12.B16, V12.B16 + VBCAX V14.B16, V10.B16, V13.B16, V13.B16 + VBCAX V10.B16, V11.B16, V14.B16, V14.B16 + VMOV V25.B16, V10.B16 + VMOV V26.B16, V11.B16 + + VBCAX V16.B16, V17.B16, V15.B16, V25.B16 + VBCAX V17.B16, V18.B16, V16.B16, V26.B16 + VBCAX V18.B16, V19.B16, V17.B16, V17.B16 + VBCAX V19.B16, V15.B16, V18.B16, V18.B16 + VBCAX V15.B16, V16.B16, V19.B16, V19.B16 + VMOV V25.B16, V15.B16 + VMOV V26.B16, V16.B16 + + VBCAX V21.B16, V22.B16, V20.B16, V25.B16 + VBCAX V22.B16, V23.B16, V21.B16, V26.B16 + VBCAX V23.B16, V24.B16, V22.B16, V22.B16 + VBCAX V24.B16, V20.B16, V23.B16, V23.B16 + VBCAX V20.B16, V21.B16, V24.B16, V24.B16 + VMOV V25.B16, V20.B16 + VMOV V26.B16, V21.B16 + + // Iota + VLD1R.P 8(R1), [V25.D2] + VEOR V25.B16, V0.B16, V0.B16 + + SUBS $1, R3, R3 + CBNZ R3, loop + + MOVD R2, R0 + + VST1.P [ V0.B16, V1.B16, V2.B16, V3.B16], 64(R0) + VST1.P [ V4.B16, V5.B16, V6.B16, V7.B16], 64(R0) + VST1.P [ V8.B16, V9.B16, V10.B16, V11.B16], 64(R0) + VST1.P [V12.B16, V13.B16, V14.B16, V15.B16], 64(R0) + VST1.P [V16.B16, V17.B16, V18.B16, V19.B16], 64(R0) + VST1.P [V20.B16, V21.B16, V22.B16, V23.B16], 64(R0) + VST1.P [V24.B16], (R0) + + RET diff --git a/src/circl/simd/keccakf1600/f1600x4.go b/src/circl/simd/keccakf1600/f1600x4.go deleted file mode 100644 index 91500f7990e..00000000000 --- a/src/circl/simd/keccakf1600/f1600x4.go +++ /dev/null @@ -1,84 +0,0 @@ -// Package keccakf1600 provides a four-way Keccak-f[1600] permutation in parallel. -// -// Keccak-f[1600] is the permutation underlying several algorithms such as -// Keccak, SHA3 and SHAKE. Running four permutations in parallel is useful in -// some scenarios like in hash-based signatures. -// -// Limitations -// -// Note that not all the architectures support SIMD instructions. This package -// uses AVX2 instructions that are available in some AMD64 architectures. -// -// For those systems not supporting AVX2, the package still provides the -// expected functionality by means of a generic and slow implementation. -// The recommendation is to beforehand verify IsEnabledX4() to determine if -// the current system supports the SIMD implementation. -package keccakf1600 - -import ( - "unsafe" - - "circl/internal/sha3" - "internal/cpu" -) - -// StateX4 contains state for the four-way permutation including the four -// interleaved [25]uint64 buffers. Call Initialize() before use to initialize -// and get a pointer to the interleaved buffer. -type StateX4 struct { - // Go guarantees a to be aligned on 8 bytes, whereas we need it to be - // aligned on 32 bytes for bet performance. Thus we leave some headroom - // to be able to move the start of the state. - - // 4 x 25 uint64s for the interleaved states and three uint64s headroom - // to fix alignment. - a [103]uint64 - - // Offset into a that is 32 byte aligned. - offset int -} - -// IsEnabledX4 returns true if the architecture supports a four-way SIMD -// implementation provided in this package. -func IsEnabledX4() bool { return cpu.X86.HasAVX2 } - -// Initialize the state and returns the buffer on which the four permutations -// will act: a uint64 slice of length 100. The first permutation will act -// on {a[0], a[4], ..., a[96]}, the second on {a[1], a[5], ..., a[97]}, etc. -func (s *StateX4) Initialize() []uint64 { - rp := unsafe.Pointer(&s.a[0]) - - // uint64s are always aligned by a multiple of 8. Compute the remainder - // of the address modulo 32 divided by 8. - rem := (int(uintptr(rp)&31) >> 3) - - if rem != 0 { - s.offset = 4 - rem - } - - // The slice we return will be aligned on 32 byte boundary. - return s.a[s.offset : s.offset+100] -} - -// Permute performs the four parallel Keccak-f[1600]s interleaved on the slice -// returned from Initialize(). -func (s *StateX4) Permute() { - if IsEnabledX4() { - permuteSIMD(s.a[s.offset:]) - } else { - permuteScalar(s.a[s.offset:]) // A slower generic implementation. - } -} - -func permuteScalar(a []uint64) { - var buf [25]uint64 - for i := 0; i < 4; i++ { - for j := 0; j < 25; j++ { - buf[j] = a[4*j+i] - } - sha3.KeccakF1600(&buf) - for j := 0; j < 25; j++ { - a[4*j+i] = buf[j] - } - } -} diff --git a/src/circl/simd/keccakf1600/f1600x4_amd64.go b/src/circl/simd/keccakf1600/f1600x4_amd64.go index 7d47f43e209..c7c0e2ce4e6 100644 --- a/src/circl/simd/keccakf1600/f1600x4_amd64.go +++ b/src/circl/simd/keccakf1600/f1600x4_amd64.go @@ -2,4 +2,6 @@ package keccakf1600 import "circl/internal/sha3" -func permuteSIMD(state []uint64) { f1600x4AVX2(&state[0], &sha3.RC) } +func permuteSIMDx4(state []uint64) { f1600x4AVX2(&state[0], &sha3.RC) } + +func permuteSIMDx2(state []uint64) { permuteScalarX2(state) } diff --git a/src/circl/simd/keccakf1600/f1600x4_test.go b/src/circl/simd/keccakf1600/f1600x_test.go similarity index 57% rename from src/circl/simd/keccakf1600/f1600x4_test.go rename to src/circl/simd/keccakf1600/f1600x_test.go index 866a1ae2a1d..09e83bba6dd 100644 --- a/src/circl/simd/keccakf1600/f1600x4_test.go +++ b/src/circl/simd/keccakf1600/f1600x_test.go @@ -15,6 +15,29 @@ var permutationOfZeroes = [25]uint64{ 0xEAF1FF7B5CECA249, } +func TestKeccakF1600x2(t *testing.T) { + test := func(t *testing.T, f func(s *StateX2, a []uint64)) { + t.Helper() + var state StateX2 + a := state.Initialize() + f(&state, a) + for i := 0; i < 25; i++ { + for j := 0; j < 2; j++ { + if a[2*i+j] != permutationOfZeroes[i] { + t.Fatalf("%X", a) + } + } + } + } + + t.Run("Generic", func(t *testing.T) { + test(t, func(s *StateX2, a []uint64) { permuteScalarX2(a) }) + }) + t.Run("SIMD", func(t *testing.T) { + test(t, func(s *StateX2, a []uint64) { s.Permute() }) + }) +} + func TestKeccakF1600x4(t *testing.T) { test := func(t *testing.T, f func(s *StateX4, a []uint64)) { t.Helper() @@ -31,13 +54,31 @@ func TestKeccakF1600x4(t *testing.T) { } t.Run("Generic", func(t *testing.T) { - test(t, func(s *StateX4, a []uint64) { permuteScalar(a) }) + test(t, func(s *StateX4, a []uint64) { permuteScalarX4(a) }) }) t.Run("SIMD", func(t *testing.T) { test(t, func(s *StateX4, a []uint64) { s.Permute() }) }) } +func BenchmarkF1600x2(b *testing.B) { + benchmark := func(b *testing.B, f func(s *StateX2, a []uint64)) { + var state StateX2 + a := state.Initialize() + + for i := 0; i < b.N; i++ { + f(&state, a) + } + } + + b.Run("Generic", func(b *testing.B) { + benchmark(b, func(s *StateX2, a []uint64) { permuteScalarX2(a) }) + }) + b.Run("SIMD", func(b *testing.B) { + benchmark(b, func(s *StateX2, a []uint64) { s.Permute() }) + }) +} + func BenchmarkF1600x4(b *testing.B) { benchmark := func(b *testing.B, f func(s *StateX4, a []uint64)) { var state StateX4 @@ -49,7 +90,7 @@ func BenchmarkF1600x4(b *testing.B) { } b.Run("Generic", func(b *testing.B) { - benchmark(b, func(s *StateX4, a []uint64) { permuteScalar(a) }) + benchmark(b, func(s *StateX4, a []uint64) { permuteScalarX4(a) }) }) b.Run("SIMD", func(b *testing.B) { benchmark(b, func(s *StateX4, a []uint64) { s.Permute() }) diff --git a/src/circl/simd/keccakf1600/fallback.go b/src/circl/simd/keccakf1600/fallback.go index f4918011f94..70b3070bd63 100644 --- a/src/circl/simd/keccakf1600/fallback.go +++ b/src/circl/simd/keccakf1600/fallback.go @@ -1,5 +1,7 @@ -// +build !amd64 +// +build !amd64,!arm64 arm64,!go1.16 package keccakf1600 -func permuteSIMD(state []uint64) { permuteScalar(state) } +func permuteSIMDx2(state []uint64) { permuteScalarX2(state) } + +func permuteSIMDx4(state []uint64) { permuteScalarX4(state) } From 486fc4f7b760f7aabafaef7f338132e6a361d79d Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Wed, 23 Dec 2020 13:39:33 -0800 Subject: [PATCH 14/69] crypto/tls: Move draft-ietf-tls-esni-08 to -09 Most significant spec changes include: * Bump HPKE-05 to -07. * Derive acceptance confirmation from handshake secret. * Reuse HPKE context across HRR. * Use a new codepoint to distinguish between CHI/CHO. * Bind context handle to AEAD encryption. Other changes: * Remove hrrPsk from ECHProvider.Context (breaks API). * Prune retry configs of unknown version returned by the ECH provider. * Add EXP_ECHKeySet, a default implementation of the ECH provider. (This will be useful for interop testing.) * Require that the ECH extension not appear in OuterExtensions. * Add event handler for outer SNI / public name mismatch. * Remove implementation of HPKE-05 --- src/crypto/tls/common.go | 15 +- src/crypto/tls/conn.go | 23 +- src/crypto/tls/ech.go | 879 ++++++++---------- src/crypto/tls/ech_config.go | 154 ++- src/crypto/tls/ech_provider.go | 276 +++++- src/crypto/tls/ech_test.go | 538 +++++------ src/crypto/tls/handshake_client_tls13.go | 70 +- src/crypto/tls/handshake_messages.go | 46 +- src/crypto/tls/handshake_server.go | 2 +- src/crypto/tls/handshake_server_tls13.go | 45 +- src/crypto/tls/hpke.go | 91 +- src/crypto/tls/internal/hpke/LICENSE | 25 - src/crypto/tls/internal/hpke/README.md | 18 - src/crypto/tls/internal/hpke/crypto.go | 875 ----------------- src/crypto/tls/internal/hpke/crypto_test.go | 141 --- src/crypto/tls/internal/hpke/hpke.go | 537 ----------- src/crypto/tls/internal/hpke/hpke_test.go | 777 ---------------- .../tls/internal/hpke/test-vectors.json | 1 - src/crypto/tls/internal/syntax/LICENSE | 25 - src/crypto/tls/internal/syntax/README.md | 3 - src/crypto/tls/internal/syntax/decode.go | 456 --------- src/crypto/tls/internal/syntax/encode.go | 411 -------- src/crypto/tls/internal/syntax/stream.go | 76 -- src/crypto/tls/internal/syntax/tags.go | 173 ---- src/crypto/tls/tls.go | 28 +- src/go/build/deps_test.go | 2 - 26 files changed, 1136 insertions(+), 4551 deletions(-) delete mode 100644 src/crypto/tls/internal/hpke/LICENSE delete mode 100644 src/crypto/tls/internal/hpke/README.md delete mode 100644 src/crypto/tls/internal/hpke/crypto.go delete mode 100644 src/crypto/tls/internal/hpke/crypto_test.go delete mode 100644 src/crypto/tls/internal/hpke/hpke.go delete mode 100644 src/crypto/tls/internal/hpke/hpke_test.go delete mode 100644 src/crypto/tls/internal/hpke/test-vectors.json delete mode 100644 src/crypto/tls/internal/syntax/LICENSE delete mode 100644 src/crypto/tls/internal/syntax/README.md delete mode 100644 src/crypto/tls/internal/syntax/decode.go delete mode 100644 src/crypto/tls/internal/syntax/encode.go delete mode 100644 src/crypto/tls/internal/syntax/stream.go delete mode 100644 src/crypto/tls/internal/syntax/tags.go diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 6051cff2602..c340d07d091 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -102,8 +102,9 @@ const ( extensionSignatureAlgorithmsCert uint16 = 50 extensionKeyShare uint16 = 51 extensionRenegotiationInfo uint16 = 0xff01 - extensionECH uint16 = 0xfe08 // draft-ietf-tls-esni-08 - extensionECHOuterExtensions uint16 = 0xfd00 // draft-ietf-tls-esni-08 + extensionECH uint16 = 0xfe09 // draft-ietf-tls-esni-09 + extensionECHIsInner uint16 = 0xda09 // draft-ietf-tls-esni-09 + extensionECHOuterExtensions uint16 = 0xfd00 // draft-ietf-tls-esni-09 ) // TLS signaling cipher suite values @@ -251,6 +252,14 @@ var testingECHOuterExtNone bool // extension. var testingECHOuterExtIncorrectOrder bool +// testingECHOuterIsInner causes the client to send the "ech_is_inner" extension +// in the ClientHelloOuter. +var testingECHOuterIsInner bool + +// testingECHOuterExtIllegal causes the client to send in its +// "outer_extension" extension the codepoint for the ECH extension. +var testingECHOuterExtIllegal bool + // ConnectionState records basic TLS details about the connection. type ConnectionState struct { // Version is the TLS version used by the connection (e.g. VersionTLS12). @@ -744,7 +753,7 @@ type Config struct { // ServerECHProvider is the ECH provider used by the client-facing server // for the ECH extension. If the client offers ECH and TLS 1.3 is // negotiated, then the provider is used to compute the HPKE context - // (draft-irtf-cfrg-hpke-05), which in turn is used to decrypt the extension + // (draft-irtf-cfrg-hpke-07), which in turn is used to decrypt the extension // payload. ServerECHProvider ECHProvider diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 8390b86a8f7..06785850948 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -8,6 +8,7 @@ package tls import ( "bytes" + "circl/hpke" "crypto/cipher" "crypto/subtle" "crypto/x509" @@ -115,18 +116,22 @@ type Conn struct { tmp [16]byte + // State used for the ECH extension. ech struct { - offered bool - greased bool - accepted bool - retryConfigs []byte // The retry configurations - hrrPsk []byte // The HRR pre-shared key, used in case of HRR. + sealer hpke.Sealer // The client's HPKE context + opener hpke.Opener // The server's HPKE context - // When offering ECH, the ClientHelloInner.random sent prior to HRR. - hrrInnerRandom []byte + // The state shared by the client and server. + offered bool // Client offered ECH + greased bool // Client greased ECH + accepted bool // Server accepted ECH + retryConfigs []byte // The retry configurations - // When sending dummy ECH, the config_id sent prior to HRR. - hrrConfigId []byte + // The client's state, used in case of HRR. + innerRandom []byte // ClientHelloInner.random + publicName string // ECHConfig.contents.public_name + suite echCipherSuite // ClientECH.cipher_suite + dummy []byte // serialized ClientECH when greasing ECH } // Set by the client and server when an HRR message was sent in this diff --git a/src/crypto/tls/ech.go b/src/crypto/tls/ech.go index 7ebe7b9c389..5e44a78b175 100644 --- a/src/crypto/tls/ech.go +++ b/src/crypto/tls/ech.go @@ -4,8 +4,7 @@ package tls import ( - "bytes" - "crypto/tls/internal/hpke" + "circl/hpke" "errors" "fmt" "io" @@ -15,15 +14,11 @@ import ( const ( // Constants for TLS operations - echTls13LabelAcceptConfirm = "ech accept confirmation" + echAcceptConfirmationLabel = "ech accept confirmation" // Constants for HPKE operations - echHpkeInfoInnerDigest = "tls ech inner digest" - echHpkeInfoConfigId = "tls ech config id" - echHpkeInfoSetup = "tls ech" - echHpkeHrrKeyExporter = "tls ech hrr key" - echHpkeHrrKeyId = "hrr key" - echHpkeHrrKeyLen = 32 + echHpkeInfoConfigId = "tls ech config id" + echHpkeInfoSetup = "tls ech" // Constants for ECH status events echStatusBypassed = 1 + iota @@ -83,20 +78,24 @@ func (e EXP_EventECHServerStatus) Name() string { return "ech server status" } -// A dummy client-facing server public key used to generate covertext for the -// ECH extension. This is a random 32-byte string, which will be interpreted as -// an X25519 public key. -var echDummyX25519PublicKey = []byte{ - 143, 38, 37, 36, 12, 6, 229, 30, 140, 27, 167, 73, 26, 100, 203, 107, 216, - 81, 163, 222, 52, 211, 54, 210, 46, 37, 78, 216, 157, 97, 241, 244, +// EXP_EventECHPublicNameMismatch is emitted if the outer SNI does not match +// match the public name of the ECH configuration. Note that we do not record +// the outer SNI in order to avoid collecting this potentially sensitive data. +// +// NOTE: This API is EXPERIMENTAL and subject to change. +type EXP_EventECHPublicNameMismatch struct{} + +// Name is required by the EXP_Event interface. +func (e EXP_EventECHPublicNameMismatch) Name() string { + return "ech public name does not match outer sni" } // TODO(cjpatton): "[When offering ECH, the client] MUST NOT offer to resume any // session for TLS 1.2 and below [in ClientHelloInner]." // // TODO(cjpatton): "[When offering ECH, the client] MUST NOT include the -// "pre_shared_key" extension [in ClientHelloOuter]." This is a "don't stick -// out" issue. +// "pre_shared_key" extension [in ClientHelloOuter]." (This is a "don't stick +// out" issue.) // // TODO(cjpatton): Implement client-side padding. func (c *Conn) echOfferOrGrease(helloBase *clientHelloMsg) (hello, helloInner *clientHelloMsg, err error) { @@ -105,327 +104,294 @@ func (c *Conn) echOfferOrGrease(helloBase *clientHelloMsg) (hello, helloInner *c if !config.ECHEnabled || (c.hrrTriggered && testingECHTriggerBypassAfterHRR) || (!c.hrrTriggered && testingECHTriggerBypassBeforeHRR) { - // Bypass ECH without providing covertext. + // Bypass ECH. return helloBase, nil, nil } - // Decide whether to offer the ECH extension in this connection, If offered, - // then hello is set to the ClientHelloOuter and helloInner is set to the - // ClientHelloInner. - if echConfig := config.echSelectConfig(); echConfig != nil && - config.maxSupportedVersion() >= VersionTLS13 { - - // Construct the ClientHelloInner. - // - // Make a copy of helloBase, add an empty ECH extension, and generate a - // fresh random value. - helloInner = new(clientHelloMsg) - *helloInner = *helloBase - - // Set "encrypted_client_hello" with an empty payload. - helloInner.encryptedClientHelloOffered = true - - // Ensure that only TLS 1.3 and above are offered. - if v := helloInner.supportedVersions; v[len(v)-1] < VersionTLS13 { - return nil, nil, errors.New("tls: ech: TLS 1.3 required") - } - - // Set "random". - if len(c.ech.hrrInnerRandom) == 0 { - // Generate a fresh "random". - helloInner.random = make([]byte, 32) - _, err := io.ReadFull(config.rand(), helloInner.random) + echConfig := config.echSelectConfig() + if echConfig == nil || config.maxSupportedVersion() < VersionTLS13 { + // Compute artifacts that are reused across HRR. + if c.ech.dummy == nil { + // Serialized ClientECH. + c.ech.dummy, err = echGenerateDummyExt(config.rand()) if err != nil { - return nil, nil, errors.New("tls: short read from Rand: " + err.Error()) + return nil, nil, fmt.Errorf("tls: ech: failed to generate grease ECH: %s", err) } - } else { - // After HRR, use the "random" sent in the first ClientHelloInner. - helloInner.random = c.ech.hrrInnerRandom } - // Construct the EncodedClientHelloInner. - // - // NOTE(cjpatton): It would be nice to incorporate more extensions, but - // "key_share" is the last extension to appear in the ClientHello before - // "pre_shared_key". As a result, the only contiguous sequence of outer - // extensions that contains "key_share" is "key_share" itself. Note that - // we cannot change the order of extensions in the ClientHello, as the - // unit tests expect "key_share" to be second to last extension. - outerExtensions := []uint16{extensionKeyShare} - if testingECHOuterExtMany { - // NOTE(cjpatton): Incorporating this particular sequence does not - // yield significant savings. However, it's useful to test that our - // server correctly handles a sequence of compressed extensions and - // not just one. - outerExtensions = []uint16{ - extensionStatusRequest, - extensionSupportedCurves, - extensionSupportedPoints, - } - } else if testingECHOuterExtNone { - outerExtensions = nil - } - encodedHelloInner, ok := echEncodeClientHelloInner(helloInner.marshal(), outerExtensions) - if !ok { - return nil, nil, errors.New("tls: ech: encoding of EncodedClientHelloInner failed") - } + // Grease ECH. + helloBase.ech = c.ech.dummy + helloBase.echIsOuter = true + c.ech.offered = false + c.ech.greased = true + helloBase.raw = nil + return helloBase, nil, nil + } - // Construct the ClientHelloOuter. - // - // Generate a fresh ClientHello, but replace "key_share" and "random", - // and "session_id" with the values generated for helloBase and set - // "server_name" to be the client-facing server. - hello, _, err = c.makeClientHello(config.MinVersion) + // Compute artifacts that are reused across HRR. + var enc, configId []byte + if c.ech.sealer == nil { + // HPKE context. + enc, c.ech.sealer, err = echConfig.setupSealer(config.rand()) if err != nil { return nil, nil, fmt.Errorf("tls: ech: %s", err) } - // Set "random". - hello.random = helloBase.random - - // Set "session_id" to be the same as ClientHelloInner. - hello.sessionId = helloBase.sessionId - - // Set "key_share" to the same as ClientHelloInner. - hello.keyShares = helloBase.keyShares - - // Set "server_name" to be the client-facing server. - hello.serverName = hostnameInSNI(string(echConfig.rawPublicName)) - - // Encrypt EncodedClientHelloInner. - // - // AEAD encryption authenticates the ClientHelloOuter sans the - // "encrypted_client_hello" extension. - helloOuterAad := hello.marshal() - - // Prepare the encryption context. Note that c.ech.hrrPsk is initially - // nil, meaning no PSK is used for encrypting the first ClientHelloInner - // in case of HRR. - ctx, enc, err := echConfig.setupClientContext(c.ech.hrrPsk, config.rand()) + // ClientECH.config_id. + _, kdfId, _ := c.ech.sealer.Suite().Params() + configId, err = echConfig.id(kdfId) if err != nil { return nil, nil, fmt.Errorf("tls: ech: %s", err) } - // Finish ClientHelloOuter. - var ech echClient - ech.handle.suite = ctx.cipherSuite() - ech.handle.configId = ctx.configId(echConfig.raw) - ech.handle.enc = enc - ech.payload = ctx.seal(helloOuterAad, encodedHelloInner) - if testingECHTriggerPayloadDecryptError { - // Send inauthentic payload. - ech.payload[0] ^= 0xff + // ECHConfig.contents.public_name. + c.ech.publicName = string(echConfig.rawPublicName) + + // ClientHelloInner.random. + c.ech.innerRandom = make([]byte, 32) + if _, err = io.ReadFull(config.rand(), c.ech.innerRandom); err != nil { + return nil, nil, fmt.Errorf("tls: short read from Rand: %s", err) } - hello.encryptedClientHelloOffered = true - hello.encryptedClientHello = ech.marshal() - - // Update the HRR pre-shared-key. This is used to encrypt the second - // ClientHelloInner in case the server sends an HRR. - c.ech.hrrPsk = ctx.hrrPsk() - - // Record the "random" sent in the ClientHelloInner. This value will be - // used for the second ClientHelloInner in case the server sends an HRR. - c.ech.hrrInnerRandom = helloInner.random - - // Offer ECH. - c.ech.offered = true - helloInner.raw = nil - hello.raw = nil - return hello, helloInner, nil } - hello = new(clientHelloMsg) - *hello = *helloBase + // ClientHelloInner is constructed from helloBase, but uses a fresh "random" + // (helloBase.random is used for ClientHelloOuter) and an empty + // "ech_is_inner" extension indicating that this is the ClientHelloInner. + helloInner = new(clientHelloMsg) + *helloInner = *helloBase + helloInner.random = c.ech.innerRandom + helloInner.echIsInner = true - // Produce covertext for the ECH extension. - // - // Using a hard-coded KEM public key, generate a fresh encapsulated key - // "enc". Generate a random "config_id" and "payload" of appropriate length. - hpkeSuite, err := hpkeAssembleCipherSuite(dummyKemId, dummyKdfId, dummyAeadId) - if err != nil { - return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) - } - pk, err := hpkeSuite.KEM.Deserialize(echDummyX25519PublicKey) - if err != nil { - return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + // Ensure that only TLS 1.3 and above are offered. + if v := helloInner.supportedVersions; len(v) == 0 || v[len(v)-1] < VersionTLS13 { + return nil, nil, errors.New("tls: ech: only TLS 1.3 is allowed in ClientHelloInner") } - // Compute the dummy context handle ("cipher_suite", "config_id", and - // "enc"). - var dummyEch echClient - dummyEch.handle.suite.kdfId = dummyKdfId - dummyEch.handle.suite.aeadId = dummyAeadId - if !c.hrrTriggered { - dummyEch.handle.configId = make([]byte, dummyKdfOutputLen) - if _, err = io.ReadFull(config.rand(), dummyEch.handle.configId); err != nil { - return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + // EncodedClientHelloInner is constructed from ClientHelloInner by removing + // extensions that are also used in the ClientHelloOuter. + // + // NOTE(cjpatton): It would be nice to incorporate more extensions, but + // "key_share" is the last extension to appear in the ClientHello before + // "pre_shared_key". As a result, the only contiguous sequence of outer + // extensions that contains "key_share" is "key_share" itself. Note that + // we cannot change the order of extensions in the ClientHello, as the + // unit tests expect "key_share" to be the second to last extension. + outerExtensions := []uint16{extensionKeyShare} + if testingECHOuterExtMany { + // NOTE(cjpatton): Incorporating this particular sequence does not + // yield significant savings. However, it's useful to test that our + // server correctly handles a sequence of compressed extensions and + // not just one. + outerExtensions = []uint16{ + extensionStatusRequest, + extensionSupportedCurves, + extensionSupportedPoints, } - c.ech.hrrConfigId = dummyEch.handle.configId - } else { - // After HRR, the server checks these fields match. - dummyEch.handle.configId = c.ech.hrrConfigId + } else if testingECHOuterExtNone { + outerExtensions = nil } - dummyEch.handle.enc, _, err = hpke.SetupBaseS(hpkeSuite, config.rand(), pk, nil) - if err != nil { - return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + encodedHelloInner := echEncodeClientHelloInner(helloInner.marshal(), outerExtensions) + if encodedHelloInner == nil { + return nil, nil, errors.New("tls: ech: encoding of EncodedClientHelloInner failed") } - // Compute the dummy "payload". - dummyEncodedHelloInnerLen := 100 // TODO(cjpatton): Compute this correctly. - dummyEch.payload = make([]byte, dummyEncodedHelloInnerLen+dummyAeadOverheadLen) - if _, err = io.ReadFull(config.rand(), dummyEch.payload); err != nil { - return nil, nil, fmt.Errorf("tls: ech covertext: %s", err) + // ClientHelloOuter is constructed by generating a fresh ClientHello and + // copying "key_share", "random", and "sesion_id" from helloBase, setting + // "server_name" to be the client-facing server, and adding the + // "encrypted_client_hello" extension. + hello, _, err = c.makeClientHello(config.MinVersion) + if err != nil { + return nil, nil, fmt.Errorf("tls: ech: %s", err) + } + hello.keyShares = helloBase.keyShares + hello.random = helloBase.random + hello.sessionId = helloBase.sessionId + hello.serverName = hostnameInSNI(c.ech.publicName) + hello.echIsOuter = true + if testingECHOuterIsInner { + hello.echIsInner = true + } + + // ClientECH, the payload of the "encrypted_client_hello" extension. + var ech echClient + _, kdfId, aeadId := c.ech.sealer.Suite().Params() + ech.handle.suite.kdfId = uint16(kdfId) + ech.handle.suite.aeadId = uint16(aeadId) + ech.handle.configId = configId // Empty after HRR + ech.handle.enc = enc // Empty after HRR + helloOuterAad := echEncodeClientHelloOuterAAD(hello.marshal(), ech.handle.marshal()) + if helloOuterAad == nil { + return nil, nil, errors.New("tls: ech: encoding of ClientHelloOuterAAD failed") + } + ech.payload, err = c.ech.sealer.Seal(encodedHelloInner, helloOuterAad) + if err != nil { + return nil, nil, fmt.Errorf("tls: ech: seal failed: %s", err) } + if testingECHTriggerPayloadDecryptError { + ech.payload[0] ^= 0xff // Inauthentic ciphertext + } + hello.ech = ech.marshal() - // Add the dummy ECH extension to the ClientHello. - hello.encryptedClientHelloOffered = true - hello.encryptedClientHello = dummyEch.marshal() - - // Bypass ECH and provide covertext. - c.ech.offered = false - c.ech.greased = true + // Offer ECH. + c.ech.offered = true + helloInner.raw = nil hello.raw = nil - return hello, nil, nil + return hello, helloInner, nil } -func (c *Conn) echAcceptOrBypass(hello *clientHelloMsg) (*clientHelloMsg, error) { +func (c *Conn) echAcceptOrReject(hello *clientHelloMsg) (*clientHelloMsg, error) { config := c.config - echProvider := config.ServerECHProvider - - // Decide whether to bypass ECH. - echSentBeforeHrr := c.ech.offered || c.ech.greased - if !config.echCanAccept() || - !hello.encryptedClientHelloOffered || - len(hello.encryptedClientHello) == 0 { - if c.hrrTriggered && echSentBeforeHrr { - // Detect illegal second ClientHello. + p := config.ServerECHProvider + + if !config.echCanAccept() { + // Bypass ECH. + return hello, nil + } + + if hello.echIsInner { + if hello.echIsOuter { c.sendAlert(alertIllegalParameter) - return nil, errors.New("ech: hrr: bypass after offer") + return hello, errors.New("ech: hello marked as inner and outer") + } + if len(hello.ech) > 0 { + c.sendAlert(alertIllegalParameter) + return hello, errors.New("ech_is_inner: got non-empty payload") } + // Bypass ECH and continue as backend server. + return hello, nil + } + if !hello.echIsOuter { + if c.ech.offered { + // This occurs if the server accepted prior to HRR, but the client + // failed to send the ECH extension in the second ClientHelloOuter. This + // would cause ClientHelloOuter to be used after ClientHelloInner, which + // is illegal. + c.sendAlert(alertMissingExtension) + return nil, errors.New("ech: hrr: bypass after offer") + } // Bypass ECH. return hello, nil } - if c.hrrTriggered && !echSentBeforeHrr { - // Detect illegal second ClientHello. + if c.hrrTriggered && !c.ech.offered && !c.ech.greased { + // The client bypassed ECH prior to HRR, but not after. This could + // cause ClientHelloInner to be used after ClientHelloOuter, which is + // illegal. c.sendAlert(alertIllegalParameter) - return nil, errors.New("ech: hrr: offer after bypass") + return nil, errors.New("ech: hrr: offer or grease after bypass") } - // Parse the payload of the ECH extension. - ech, err := echUnmarshalClient(hello.encryptedClientHello) + // Parse ClientECH. + ech, err := echUnmarshalClient(hello.ech) if err != nil { c.sendAlert(alertIllegalParameter) - return nil, fmt.Errorf("ech: %s", err) + return nil, fmt.Errorf("ech: failed to parse extension: %s", err) } - - if c.hrrTriggered && !bytes.Equal(ech.handle.configId, c.ech.hrrConfigId) { - // Detect illegal second ClientHello + if c.hrrTriggered && c.ech.offered && + (ech.handle.suite != c.ech.suite || + len(ech.handle.configId) > 0 || + len(ech.handle.enc) > 0) { + // The context handle shouldn't change across HRR. c.sendAlert(alertIllegalParameter) - return nil, errors.New("ech: hrr: illegal handle in second ClientHello") + return nil, errors.New("ech: hrr: illegal handle in second hello") } - c.ech.hrrConfigId = ech.handle.configId + c.ech.suite = ech.handle.suite - // Ask the ECH provider for the decryption context. Note that c.ech.hrrPsk - // is initially nil, meaning no PSK is used for encrypting the first - // ClientHelloInner. - res := echProvider.GetContext(ech.handle.marshal(), c.ech.hrrPsk, extensionECH) - reject := func() (*clientHelloMsg, error) { - if c.hrrTriggered && c.ech.accepted { - // ECH was accepted prior to HRR then rejected after. Because the - // configuration identifier is the same in the first ClientHello as - // it is in the second, this indicates a server failure, likely due - // to the ECH key being rotated. - c.sendAlert(alertInternalError) - return nil, errors.New("ech: hrr: reject after accept") - } + // Ask the ECH provider for the HPKE context. + if c.ech.opener == nil { + res := p.GetDecryptionContext(ech.handle.marshal(), extensionECH) - // Presume the client sent a dummy extension until we have information - // to the contrary. We won't know whether the client intended to offer - // ECH unless it sends an "ech_required" alert. - c.ech.greased = true + // Compute retry configurations, skipping those indicating an + // unsupported version. + if len(res.RetryConfigs) > 0 { + configs, err := UnmarshalECHConfigs(res.RetryConfigs) + if err != nil { + c.sendAlert(alertInternalError) + return nil, fmt.Errorf("ech: %s", err) + } - // Send retry configs just in case our presumption is wrong and the - // client intended to offer ECH. - c.ech.retryConfigs = res.RetryConfigs + if len(configs) > 0 { + c.ech.retryConfigs, err = echMarshalConfigs(configs) + if err != nil { + c.sendAlert(alertInternalError) + return nil, fmt.Errorf("ech: %s", err) + } + } - // Proceed with ClientHelloOuter. - return hello, nil - } + // Check if the outer SNI matches the public name of any ECH config + // advertised by the client-facing server. As of + // draft-ietf-tls-esni-09, the client is required to use the ECH + // config's public name as the outer SNI. Although there's no real + // reason for the server to enforce this, it worth noting it when it + // happens. + pubNameMatches := false + for _, config := range configs { + if hello.serverName == string(config.rawPublicName) { + pubNameMatches = true + } + } + if !pubNameMatches { + c.handleEvent(EXP_EventECHPublicNameMismatch{}) + } + } - if res.Status == ECHProviderAbort { - if alert := alert(res.Alert); alert == alertIllegalParameter { - // This alert signals that the context handle sent by the client is - // malformed. An abort here would stick out, so reject instead. - return reject() - } else { - c.sendAlert(alert) + switch res.Status { + case ECHProviderSuccess: + c.ech.opener, err = hpke.UnmarshalOpener(res.Context) + if err != nil { + c.sendAlert(alertInternalError) + return nil, fmt.Errorf("ech: %s", err) + } + case ECHProviderReject: + // Reject ECH. We do not know at this point whether the client + // intended to offer or grease ECH, so we presume grease until the + // client indicates rejection by sending an "ech_required" alert. + c.ech.greased = true + return hello, nil + case ECHProviderAbort: + c.sendAlert(alert(res.Alert)) return nil, fmt.Errorf("ech: %s", err) + default: + c.sendAlert(alertInternalError) + return nil, errors.New("ech: unexpected provider status") } } - if res.Status == ECHProviderReject { - // Reject ECH. - return reject() - } - - if res.Status != ECHProviderSuccess { - // This shouldn't happen. - c.sendAlert(alertInternalError) - return nil, errors.New("ech: expected success") - } - - ctx, err := echUnmarshalServerContext(res.Context) - if err != nil { - c.sendAlert(alertInternalError) - return nil, fmt.Errorf("ech: %s", err) - } - - helloOuterAad, ok := encodeClientHelloOuterAAD(hello.raw, extensionECH) - if !ok { + // EncodedClientHelloInner, the plaintext corresponding to + // ClientECH.payload. + helloOuterAad := echEncodeClientHelloOuterAAD(hello.marshal(), ech.handle.marshal()) + if helloOuterAad == nil { // This occurs if the ClientHelloOuter is malformed. This values was // already parsed into `hello`, so this should not happen. c.sendAlert(alertInternalError) - return nil, fmt.Errorf("ech: failed to compute ClientHelloOuterAAD") + return nil, fmt.Errorf("ech: failed to encode ClientHelloOuterAAD") } - - rawEncodedHelloInner, err := ctx.open(helloOuterAad, ech.payload) + rawEncodedHelloInner, err := c.ech.opener.Open(ech.payload, helloOuterAad) if err != nil { if c.hrrTriggered && c.ech.accepted { // Don't reject after accept, as this would result in processing the // ClientHelloOuter after processing the ClientHelloInner. c.sendAlert(alertDecryptError) - return nil, fmt.Errorf("ech: hrr: decryption failure after acceptance: %s", err) + return nil, fmt.Errorf("ech: hrr: reject after accept: %s", err) } - - // Reject ECH. - return reject() + // Reject ECH. We do not know at this point whether the client + // intended to offer or grease ECH, so we presume grease until the + // client indicates rejection by sending an "ech_required" alert. + c.ech.greased = true + return hello, nil } - rawHelloInner, ok := echDecodeClientHelloInner(rawEncodedHelloInner, hello.marshal(), hello.sessionId) - if !ok { + // ClientHelloInner, obtained by decoding EncodedClientHelloInner. + rawHelloInner := echDecodeClientHelloInner(rawEncodedHelloInner, hello.marshal(), hello.sessionId) + if rawHelloInner == nil { c.sendAlert(alertIllegalParameter) - return nil, fmt.Errorf("ech: %s", err) + return nil, fmt.Errorf("ech: failed to decode EncodedClientHelloInner") } - helloInner := new(clientHelloMsg) if !helloInner.unmarshal(rawHelloInner) { c.sendAlert(alertIllegalParameter) - return nil, fmt.Errorf("ech: %s", err) - } - - // Update the HRR pre-shared-key. This is used to decrypt the second - // ClientHelloInner in case an HRR is sent. - c.ech.hrrPsk = ctx.hrrPsk() - - if c.hrrTriggered && !c.ech.accepted { - // ECH was not accepted prior to HRR then accepted after. Because the - // configuration identifier is the same in the first ClientHello as it - // is in the second, this indicates a server failure, likely due to the - // ECH key being rotated. - c.sendAlert(alertInternalError) - return nil, errors.New("ech: hrr: accept after reject") + return nil, fmt.Errorf("ech: failed to parse ClientHelloInner") } // Accept ECH. @@ -434,129 +400,6 @@ func (c *Conn) echAcceptOrBypass(hello *clientHelloMsg) (*clientHelloMsg, error) return helloInner, nil } -// echCipherSuite represents an ECH ciphersuite, a KDF/AEAD algorithm pair. This -// is different from an HPKE ciphersuite, which represents a KEM, KDF, and an -// AEAD algorithm. -type echCipherSuite struct { - kdfId, aeadId uint16 -} - -// echUnmarshalHpkePublicKey parses a serialized public key for the KEM algorithm -// identified by `kemId`. -func echUnmarshalHpkePublicKey(raw []byte, kemId uint16) (hpke.KEMPublicKey, error) { - // NOTE: Stand-in values for KDF/AEAD algorithms are ignored. - hpkeSuite, err := hpkeAssembleCipherSuite(kemId, dummyKdfId, dummyAeadId) - if err != nil { - return nil, err - } - return hpkeSuite.KEM.Deserialize(raw) -} - -// echUnmarshalHpkeSecretKey parses a serialized secret key for the KEM algorithm -// identified by `kemId`. -func echUnmarshalHpkeSecretKey(raw []byte, kemId uint16) (hpke.KEMPrivateKey, error) { - // NOTE: Stand-in values for KDF/AEAD algorithms are ignored. - hpkeSuite, err := hpkeAssembleCipherSuite(kemId, dummyKdfId, dummyAeadId) - if err != nil { - return nil, err - } - return hpkeSuite.KEM.DeserializePrivate(raw) -} - -// echCreateHpkeKdf returns an HPKE KDF scheme. -func echCreateHpkeKdf(kdfId uint16) (hpke.KDFScheme, error) { - // NOTE: Stand-in values for KEM/AEAD algorithms are ignored. - hpkeSuite, err := hpkeAssembleCipherSuite(dummyKemId, kdfId, dummyAeadId) - if err != nil { - return nil, err - } - return hpkeSuite.KDF, nil -} - -func echIsCipherSuiteSupported(suite echCipherSuite) bool { - // NOTE: Stand-in values for KEM algorithm is ignored. - _, err := hpkeAssembleCipherSuite(dummyKemId, suite.kdfId, suite.aeadId) - return err == nil -} - -func echIsKemSupported(kemId uint16) bool { - // NOTE: Stand-in values for KDF/AEAD algorithms are ignored. - _, err := hpkeAssembleCipherSuite(kemId, dummyKdfId, dummyAeadId) - return err == nil -} - -// echContent represents an HPKE context (irtf-cfrg-hpke-05). -type echContext struct { - enc *hpke.EncryptContext - dec *hpke.DecryptContext - isClient bool - hpkeSuite hpke.CipherSuite -} - -// cipherSuite returns the ECH ciphersuite for this HPKE context. -func (ctx *echContext) cipherSuite() echCipherSuite { - return echCipherSuite{ - kdfId: uint16(ctx.hpkeSuite.KDF.ID()), - aeadId: uint16(ctx.hpkeSuite.AEAD.ID()), - } -} - -// echUnmarshalServerContext parses the server's HPKE context. -func echUnmarshalServerContext(raw []byte) (*echContext, error) { - decryptechContext, err := hpke.UnmarshalDecryptContext(raw) - if err != nil { - return nil, err - } - - hpkeSuite, err := hpkeAssembleCipherSuite(uint16(decryptechContext.KEMID), uint16(decryptechContext.KDFID), uint16(decryptechContext.AEADID)) - if err != nil { - return nil, err - } - - return &echContext{ - enc: nil, - dec: decryptechContext, - isClient: false, - hpkeSuite: hpkeSuite, - }, nil -} - -// marshalServer returns the server's serialized HPKE context. -func (ctx *echContext) marshalServer() ([]byte, error) { - return ctx.dec.Marshal() -} - -// encrypt seals the ClientHelloInner in the client's HPKE context. -func (ctx *echContext) seal(aad, inner []byte) (payload []byte) { - if !ctx.isClient { - panic("seal() is not defined for server") - } - return ctx.enc.Seal(aad, inner) -} - -// decrypt opens the encrypted ClientHelloInner in the server's HPKE context. -func (ctx *echContext) open(aad, payload []byte) (inner []byte, err error) { - if ctx.isClient { - panic("open() is not defined for client") - } - return ctx.dec.Open(aad, payload) -} - -// hrrPsk returns the PSK used to bind the first ClientHelloOuter to the second -// in case the backend server sends a HelloRetryRequest. -func (ctx *echContext) hrrPsk() []byte { - if ctx.isClient { - return ctx.enc.Export([]byte(echHpkeHrrKeyExporter), echHpkeHrrKeyLen) - } - return ctx.dec.Export([]byte(echHpkeHrrKeyExporter), echHpkeHrrKeyLen) -} - -// configId computes the configuration identifier for a serialized ECHConfig. -func (ctx *echContext) configId(config []byte) []byte { - kdf := ctx.hpkeSuite.KDF - return kdf.Expand(kdf.Extract(nil, config), []byte(echHpkeInfoConfigId), kdf.OutputSize()) -} - // echClient represents a ClientECH structure, the payload of the client's // "encrypted_client_hello" extension. type echClient struct { @@ -643,15 +486,60 @@ func echReadContextHandle(s *cryptobyte.String, handle *echContextHandle) bool { return true } -// echEncodeClientHelloInner interprets data as a ClientHelloInner message and -// transforms into an EncodedClinetHelloInner. It also returns a bool indicating -// if parsing the ClientHelloInner succeeded. +// echCipherSuite represents an ECH ciphersuite, a KDF/AEAD algorithm pair. This +// is different from an HPKE ciphersuite, which represents a KEM/KDF/AEAD +// triple. +type echCipherSuite struct { + kdfId, aeadId uint16 +} + +// Generates a grease ECH extension using a hard-coded KEM public key. +func echGenerateDummyExt(rand io.Reader) ([]byte, error) { + var err error + var dummyX25519PublicKey = []byte{ + 143, 38, 37, 36, 12, 6, 229, 30, 140, 27, 167, 73, 26, 100, 203, 107, 216, + 81, 163, 222, 52, 211, 54, 210, 46, 37, 78, 216, 157, 97, 241, 244, + } + dummyEncodedHelloInnerLen := 100 // TODO(cjpatton): Compute this correctly. + kem, kdf, aead := defaultHPKESuite.Params() + + pk, err := kem.Scheme().UnmarshalBinaryPublicKey(dummyX25519PublicKey) + if err != nil { + return nil, fmt.Errorf("tls: grease ech: failed to parse dummy public key: %s", err) + } + sender, err := defaultHPKESuite.NewSender(pk, nil) + if err != nil { + return nil, fmt.Errorf("tls: grease ech: failed to create sender: %s", err) + } + + var ech echClient + ech.handle.suite.kdfId = uint16(kdf) + ech.handle.suite.aeadId = uint16(aead) + ech.handle.configId = make([]byte, 8) + _, err = io.ReadFull(rand, ech.handle.configId) + if err != nil { + return nil, fmt.Errorf("tls: grease ech:: %s", err) + } + ech.handle.enc, _, err = sender.Setup(rand) + if err != nil { + return nil, fmt.Errorf("tls: grease ech:: %s", err) + } + ech.payload = make([]byte, dummyEncodedHelloInnerLen+defaultHPKESuiteTagLen) + if _, err = io.ReadFull(rand, ech.payload); err != nil { + return nil, fmt.Errorf("tls: grease ech:: %s", err) + } + return ech.marshal(), nil +} + +// echEncodeClientHelloInner interprets innerData as a ClientHelloInner message +// and transforms it into an EncodedClientHelloInner. Returns nil if parsing +// innerData fails. // // outerExtensions specifies the contiguous sequence of extensions that will be -// incorporated. -func echEncodeClientHelloInner(data []byte, outerExtensions []uint16) ([]byte, bool) { +// incorporated using the "ech_outer_extensions" mechanism. +func echEncodeClientHelloInner(innerData []byte, outerExtensions []uint16) []byte { var ( - errReadFailure = errors.New("read failure") + errIllegalParameter = errors.New("illegal parameter") msgType uint8 legacyVersion uint16 random []byte @@ -663,10 +551,10 @@ func echEncodeClientHelloInner(data []byte, outerExtensions []uint16) ([]byte, b b cryptobyte.Builder ) - u := cryptobyte.String(data) + u := cryptobyte.String(innerData) if !u.ReadUint8(&msgType) || !u.ReadUint24LengthPrefixed(&s) || !u.Empty() { - return nil, false + return nil } if !s.ReadUint16(&legacyVersion) || @@ -674,16 +562,16 @@ func echEncodeClientHelloInner(data []byte, outerExtensions []uint16) ([]byte, b !s.ReadUint8LengthPrefixed(&legacySessionId) || !s.ReadUint16LengthPrefixed(&cipherSuites) || !s.ReadUint8LengthPrefixed(&legacyCompressionMethods) { - return nil, false + return nil } if s.Empty() { // Extensions field must be present in TLS 1.3. - return nil, false + return nil } if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { - return nil, false + return nil } b.AddUint16(legacyVersion) @@ -707,7 +595,7 @@ func echEncodeClientHelloInner(data []byte, outerExtensions []uint16) ([]byte, b var extData cryptobyte.String if !extensions.ReadUint16(&ext) || !extensions.ReadUint16LengthPrefixed(&extData) { - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } if len(outerExtensions) > 0 && ext == outerExtensions[0] { @@ -720,7 +608,7 @@ func echEncodeClientHelloInner(data []byte, outerExtensions []uint16) ([]byte, b for _, outerExt := range outerExtensions[1:] { if !extensions.ReadUint16(&ext) || !extensions.ReadUint16LengthPrefixed(&extData) { - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } if ext != outerExt { panic("internal error: malformed ClientHelloInner") @@ -737,13 +625,13 @@ func echEncodeClientHelloInner(data []byte, outerExtensions []uint16) ([]byte, b }) encodedData, err := b.Bytes() - if err == errReadFailure { - return nil, false // Reading failed + if err == errIllegalParameter { + return nil // Input malformed } else if err != nil { - panic(err) // Writing failed + panic(err) // Host encountered internal error } - return encodedData, true + return encodedData } func echAddOuterExtensions(b *cryptobyte.Builder, outerExtensions []uint16) { @@ -753,18 +641,21 @@ func echAddOuterExtensions(b *cryptobyte.Builder, outerExtensions []uint16) { for _, outerExt := range outerExtensions { b.AddUint16(outerExt) } + if testingECHOuterExtIllegal { + // This is not allowed. + b.AddUint16(extensionECH) + } }) }) } -// echDecodeClientHelloInner interprets data as an EncodedClientHelloInner +// echDecodeClientHelloInner interprets encodedData as an EncodedClientHelloInner // message and substitutes the "outer_extension" extension with extensions from -// outerData, interpreted as the ClientHelloOuter message. Returns the decoded -// ClientHelloInner and a bool indicating whether parsing -// EncodedClientHelloInner succeeded. -func echDecodeClientHelloInner(data []byte, outerData, outerSessionId []byte) ([]byte, bool) { +// outerData, interpreted as the ClientHelloOuter message. Returns nil if +// parsing encodedData fails. +func echDecodeClientHelloInner(encodedData, outerData, outerSessionId []byte) []byte { var ( - errReadFailure = errors.New("read failure") + errIllegalParameter = errors.New("illegal parameter") legacyVersion uint16 random []byte legacySessionId cryptobyte.String @@ -774,26 +665,26 @@ func echDecodeClientHelloInner(data []byte, outerData, outerSessionId []byte) ([ b cryptobyte.Builder ) - s := cryptobyte.String(data) + s := cryptobyte.String(encodedData) if !s.ReadUint16(&legacyVersion) || !s.ReadBytes(&random, 32) || !s.ReadUint8LengthPrefixed(&legacySessionId) || !s.ReadUint16LengthPrefixed(&cipherSuites) || !s.ReadUint8LengthPrefixed(&legacyCompressionMethods) { - return nil, false + return nil } if len(legacySessionId) > 0 { - return nil, false + return nil } if s.Empty() { // Extensions field must be present in TLS 1.3. - return nil, false + return nil } if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { - return nil, false + return nil } b.AddUint8(typeClientHello) @@ -816,14 +707,14 @@ func echDecodeClientHelloInner(data []byte, outerData, outerSessionId []byte) ([ var extData cryptobyte.String if !extensions.ReadUint16(&ext) || !extensions.ReadUint16LengthPrefixed(&extData) { - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } if ext == extensionECHOuterExtensions { if handledOuterExtensions { // It is an error to send any extension more than once in a // single message. - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } handledOuterExtensions = true @@ -833,12 +724,12 @@ func echDecodeClientHelloInner(data []byte, outerData, outerSessionId []byte) ([ if !extData.ReadUint8LengthPrefixed(&outerExtData) || len(outerExtData)%2 != 0 || !extData.Empty() { - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } for !outerExtData.Empty() { if !outerExtData.ReadUint16(&ext) || - !echIsValidOuterExtension(ext) { - panic(cryptobyte.BuildError{Err: errReadFailure}) + ext == extensionECH { + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } // Mark outer extension as not yet incorporated. outer[ext] = false @@ -857,13 +748,13 @@ func echDecodeClientHelloInner(data []byte, outerData, outerSessionId []byte) ([ } return true }) { - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } // Ensure that all outer extensions have been incorporated. for _, incorporated := range outer { if !incorporated { - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } } } else { @@ -876,34 +767,22 @@ func echDecodeClientHelloInner(data []byte, outerData, outerSessionId []byte) ([ }) }) - decodedData, err := b.Bytes() - if err == errReadFailure { - return nil, false // Reading failed + innerData, err := b.Bytes() + if err == errIllegalParameter { + return nil // Input malformed } else if err != nil { - panic(err) // Writing failed + panic(err) // Host encountered internal error } - return decodedData, true -} - -// Returns true if the code point is a valid outer extension. -func echIsValidOuterExtension(ext uint16) bool { - // The client MUST NOT attempt to compress the ECH extension. - return !echIsValidVersion(ext) + return innerData } -// Returns true if the code point is for a version of ECH that this package -// implements. -func echIsValidVersion(ext uint16) bool { - return ext == extensionECH -} - -// encodeClientHelloOuterAAD interprets data as ClientHelloOuter and maps it to -// ClientHelloOuterAAD. Returns a bool indicated whether parsing -// ClientHelloOuter succeeded. -func encodeClientHelloOuterAAD(data []byte, ext uint16) ([]byte, bool) { +// echEncodeClientHelloOuterAAD interprets outerData as ClientHelloOuter and +// handleData as an ECH context handle and maps these to a ClientHelloOuterAAD. +// Returns nil if parsing outerData fails. +func echEncodeClientHelloOuterAAD(outerData, handleData []byte) []byte { var ( - errReadFailure = errors.New("read failure") + errIllegalParameter = errors.New("illegal parameter") msgType uint8 legacyVersion uint16 random []byte @@ -915,10 +794,10 @@ func encodeClientHelloOuterAAD(data []byte, ext uint16) ([]byte, bool) { b cryptobyte.Builder ) - u := cryptobyte.String(data) + u := cryptobyte.String(outerData) if !u.ReadUint8(&msgType) || !u.ReadUint24LengthPrefixed(&s) || !u.Empty() { - return nil, false + return nil } if !s.ReadUint16(&legacyVersion) || @@ -926,19 +805,19 @@ func encodeClientHelloOuterAAD(data []byte, ext uint16) ([]byte, bool) { !s.ReadUint8LengthPrefixed(&legacySessionId) || !s.ReadUint16LengthPrefixed(&cipherSuites) || !s.ReadUint8LengthPrefixed(&legacyCompressionMethods) { - return nil, false + return nil } if s.Empty() { // Extensions field must be present in TLS 1.3. - return nil, false + return nil } if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { - return nil, false + return nil } - b.AddUint8(msgType) + b.AddBytes(handleData) b.AddUint24LengthPrefixed(func(b *cryptobyte.Builder) { b.AddUint16(legacyVersion) b.AddBytes(random) @@ -957,7 +836,7 @@ func encodeClientHelloOuterAAD(data []byte, ext uint16) ([]byte, bool) { var extData cryptobyte.String if !extensions.ReadUint16(&ext) || !extensions.ReadUint16LengthPrefixed(&extData) { - panic(cryptobyte.BuildError{Err: errReadFailure}) + panic(cryptobyte.BuildError{Err: errIllegalParameter}) } // Copy all extensions except for ECH. @@ -971,22 +850,78 @@ func encodeClientHelloOuterAAD(data []byte, ext uint16) ([]byte, bool) { }) }) - encodedData, err := b.Bytes() - if err == errReadFailure { - return nil, false // Reading failed + outerAadData, err := b.Bytes() + if err == errIllegalParameter { + return nil // Input malformed } else if err != nil { - panic(err) // Writing failed + panic(err) // Host encountered internal error + } + + return outerAadData +} + +// echEncodeServerHelloConf interprets data as a ServerHello message and encodes +// it as a ServerHelloConf. Returns nil if parsing data fails. +func echEncodeServerHelloConf(data []byte) []byte { + var ( + msgType uint8 + legacyVersion uint16 + random []byte + legacySessionId cryptobyte.String + cipherSuite uint16 + legacyCompressionMethod uint8 + extensions cryptobyte.String + s cryptobyte.String + b cryptobyte.Builder + ) + + u := cryptobyte.String(data) + if !u.ReadUint8(&msgType) || + !u.ReadUint24LengthPrefixed(&s) || !u.Empty() { + return nil } - return encodedData, true + if !s.ReadUint16(&legacyVersion) || + !s.ReadBytes(&random, 32) || + !s.ReadUint8LengthPrefixed(&legacySessionId) || + !s.ReadUint16(&cipherSuite) || + !s.ReadUint8(&legacyCompressionMethod) { + return nil + } + + if s.Empty() { + // Extensions field must be present in TLS 1.3. + return nil + } + + if !s.ReadUint16LengthPrefixed(&extensions) || !s.Empty() { + return nil + } + + b.AddUint8(msgType) + b.AddUint24LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint16(legacyVersion) + b.AddBytes(random[:24]) + b.AddBytes([]byte{0, 0, 0, 0, 0, 0, 0, 0}) + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(legacySessionId) + }) + b.AddUint16(cipherSuite) + b.AddUint8(legacyCompressionMethod) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(extensions) + }) + }) + + return b.BytesOrPanic() } // processClientHelloExtensions interprets data as a ClientHello and applies a // function proc to each extension. Returns a bool indicating whether parsing // succeeded. func processClientHelloExtensions(data []byte, proc func(ext uint16, extData cryptobyte.String) bool) bool { - _, extensionsData, ok := splitClientHelloExtensions(data) - if !ok { + _, extensionsData := splitClientHelloExtensions(data) + if extensionsData == nil { return false } @@ -1018,8 +953,8 @@ func processClientHelloExtensions(data []byte, proc func(ext uint16, extData cry // splitClientHelloExtensions interprets data as a ClientHello message and // returns two strings: the first contains the start of the ClientHello up to // the start of the extensions; and the second is the length-prefixed -// extensions. It also returns a bool indicating whether parsing succeeded. -func splitClientHelloExtensions(data []byte) ([]byte, []byte, bool) { +// extensions. Returns (nil, nil) if parsing of data fails. +func splitClientHelloExtensions(data []byte) ([]byte, []byte) { s := cryptobyte.String(data) var ignored uint16 @@ -1027,26 +962,24 @@ func splitClientHelloExtensions(data []byte) ([]byte, []byte, bool) { if !s.Skip(4) || // message type and uint24 length field !s.ReadUint16(&ignored) || !s.Skip(32) || // vers, random !s.ReadUint8LengthPrefixed(&t) { // session_id - return nil, nil, false + return nil, nil } if !s.ReadUint16LengthPrefixed(&t) { // cipher_suites - return nil, nil, false + return nil, nil } if !s.ReadUint8LengthPrefixed(&t) { // compression_methods - return nil, nil, false + return nil, nil } - return data[:len(data)-len(s)], s, true + return data[:len(data)-len(s)], s } func (c *Config) echSelectConfig() *ECHConfig { for _, echConfig := range c.ClientECHConfigs { - // A suitable configuration is one that offers an HPKE ciphersuite that - // is supported by the client and indicates the version of ECH - // implemented by this TLS client. - if echConfig.isSupported() && echIsValidVersion(echConfig.version) { + if _, err := echConfig.selectSuite(); err == nil && + echConfig.version == extensionECH { return &echConfig } } @@ -1057,12 +990,16 @@ func (c *Config) echCanOffer() bool { if c == nil { return false } - return c.ECHEnabled && c.echSelectConfig() != nil && c.maxSupportedVersion() >= VersionTLS13 + return c.ECHEnabled && + c.echSelectConfig() != nil && + c.maxSupportedVersion() >= VersionTLS13 } func (c *Config) echCanAccept() bool { if c == nil { return false } - return c.ECHEnabled && c.ServerECHProvider != nil && c.maxSupportedVersion() >= VersionTLS13 + return c.ECHEnabled && + c.ServerECHProvider != nil && + c.maxSupportedVersion() >= VersionTLS13 } diff --git a/src/crypto/tls/ech_config.go b/src/crypto/tls/ech_config.go index 8d51eb9713d..bff29a00984 100644 --- a/src/crypto/tls/ech_config.go +++ b/src/crypto/tls/ech_config.go @@ -4,7 +4,8 @@ package tls import ( - "crypto/tls/internal/hpke" + "circl/hpke" + "circl/kem" "errors" "fmt" "io" @@ -12,13 +13,9 @@ import ( "golang.org/x/crypto/cryptobyte" ) -var ( - echUnrecognizedVersionError = errors.New("unrecognized version") -) - // ECHConfig represents an ECH configuration. type ECHConfig struct { - pk hpke.KEMPublicKey + pk kem.PublicKey raw []byte // Parsed from raw @@ -33,15 +30,18 @@ type ECHConfig struct { // UnmarshalECHConfigs parses a sequence of ECH configurations. func UnmarshalECHConfigs(raw []byte) ([]ECHConfig, error) { - var err error - var config ECHConfig + var ( + err error + config ECHConfig + t, contents cryptobyte.String + ) configs := make([]ECHConfig, 0) s := cryptobyte.String(raw) - var t, contents cryptobyte.String if !s.ReadUint16LengthPrefixed(&t) || !s.Empty() { return configs, errors.New("error parsing configs") } raw = raw[2:] +ConfigsLoop: for !t.Empty() { l := len(t) if !t.ReadUint16(&config.version) || @@ -49,44 +49,40 @@ func UnmarshalECHConfigs(raw []byte) ([]ECHConfig, error) { return nil, errors.New("error parsing config") } n := l - len(t) - if config.version == extensionECH { - if !readConfigContents(&contents, &config) { - return nil, errors.New("error parsing config contents") - } - config.pk, err = echUnmarshalHpkePublicKey(config.rawPublicKey, config.kemId) - if err != nil { - return nil, err - } - config.raw = raw[:n] - configs = append(configs, config) - } + config.raw = raw[:n] raw = raw[n:] + + if config.version != extensionECH { + continue ConfigsLoop + } + if !readConfigContents(&contents, &config) { + return nil, errors.New("error parsing config contents") + } + + kem := hpke.KEM(config.kemId) + if !kem.IsValid() { + continue ConfigsLoop + } + config.pk, err = kem.Scheme().UnmarshalBinaryPublicKey(config.rawPublicKey) + if err != nil { + return nil, fmt.Errorf("error parsing public key: %s", err) + } + configs = append(configs, config) } return configs, nil } -func echUnmarshalConfig(raw []byte) (*ECHConfig, error) { - var err error - config := new(ECHConfig) - s := cryptobyte.String(raw) - var contents cryptobyte.String - if !s.ReadUint16(&config.version) || - !s.ReadUint16LengthPrefixed(&contents) || - !s.Empty() { - return nil, errors.New("error parsing config") - } - if config.version != extensionECH { - return nil, echUnrecognizedVersionError - } - if !readConfigContents(&contents, config) || !s.Empty() { - return nil, errors.New("error parsing config contents") - } - config.pk, err = echUnmarshalHpkePublicKey(config.rawPublicKey, config.kemId) - if err != nil { - return nil, err - } - config.raw = raw - return config, nil +func echMarshalConfigs(configs []ECHConfig) ([]byte, error) { + var b cryptobyte.Builder + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + for _, config := range configs { + if config.raw == nil { + panic("config.raw not set") + } + b.AddBytes(config.raw) + } + }) + return b.Bytes() } func readConfigContents(contents *cryptobyte.String, config *ECHConfig) bool { @@ -101,6 +97,7 @@ func readConfigContents(contents *cryptobyte.String, config *ECHConfig) bool { return false } + config.suites = nil for !t.Empty() { var kdfId, aeadId uint16 if !t.ReadUint16(&kdfId) || !t.ReadUint16(&aeadId) { @@ -119,45 +116,22 @@ func readConfigContents(contents *cryptobyte.String, config *ECHConfig) bool { return true } -// setupClientContext generates the client's HPKE context for use with the ECH -// extension. Returns the context and corresponding encapsulated key. If hrrPsK -// is set, then "SetupPSKS()" is used to generate the context. Otherwise, -// "SetupBaseS()" is used. (See irtf-cfrg-hpke-05 for details.) -func (config *ECHConfig) setupClientContext(hrrPsk []byte, rand io.Reader) (ctx *echContext, enc []byte, err error) { - suite, err := config.selectCipherSuite() - if err != nil { - return nil, nil, err +// setupSealer generates the client's HPKE context for use with the ECH +// extension. It returns the context and corresponding encapsulated key. +func (config *ECHConfig) setupSealer(rand io.Reader) (enc []byte, sealer hpke.Sealer, err error) { + if config.raw == nil { + panic("config.raw not set") } - - hpkeSuite, err := hpkeAssembleCipherSuite(config.kemId, suite.kdfId, suite.aeadId) + hpkeSuite, err := config.selectSuite() if err != nil { return nil, nil, err } - info := append(append([]byte(echHpkeInfoSetup), 0), config.raw...) - var encryptedContext *hpke.EncryptContext - if hrrPsk != nil { - enc, encryptedContext, err = hpke.SetupPSKS(hpkeSuite, rand, config.pk, hrrPsk, []byte(echHpkeHrrKeyId), info) - if err != nil { - return nil, nil, err - } - } else { - enc, encryptedContext, err = hpke.SetupBaseS(hpkeSuite, rand, config.pk, info) - if err != nil { - return nil, nil, err - } - } - return &echContext{encryptedContext, nil, true, hpkeSuite}, enc, nil -} - -// isSupported returns true if the caller supports the KEM and at least one ECH -// ciphersuite indicated by this configuration. -func (config *ECHConfig) isSupported() bool { - _, err := config.selectCipherSuite() - if err != nil || !echIsKemSupported(config.kemId) { - return false + sender, err := hpkeSuite.NewSender(config.pk, info) + if err != nil { + return nil, nil, err } - return true + return sender.Setup(rand) } // isPeerCipherSuiteSupported returns true if this configuration indicates @@ -171,13 +145,31 @@ func (config *ECHConfig) isPeerCipherSuiteSupported(suite echCipherSuite) bool { return false } -// selectCipherSuite returns the first ciphersuite indicated by this +// selectSuite returns the first ciphersuite indicated by this // configuration that is supported by the caller. -func (config *ECHConfig) selectCipherSuite() (echCipherSuite, error) { - for i := range config.suites { - if echIsCipherSuiteSupported(config.suites[i]) { - return config.suites[i], nil +func (config *ECHConfig) selectSuite() (hpke.Suite, error) { + for _, suite := range config.suites { + hpkeSuite, err := hpkeAssembleSuite( + config.kemId, + suite.kdfId, + suite.aeadId, + ) + if err == nil { + return hpkeSuite, nil } } - return echCipherSuite{}, fmt.Errorf("could not negotiate a ciphersuite") + return hpke.Suite{}, errors.New("could not negotiate a ciphersuite") +} + +// id returns the configuration identifier for the given KDF. +func (config *ECHConfig) id(kdf hpke.KDF) ([]byte, error) { + if config.raw == nil { + panic("config.raw not set") + } + if !kdf.IsValid() { + return nil, errors.New("KDF algorithm not supported") + } + id := kdf.Expand(kdf.Extract(config.raw, nil), + []byte(echHpkeInfoConfigId), 8) + return id, nil } diff --git a/src/crypto/tls/ech_provider.go b/src/crypto/tls/ech_provider.go index 0cb7b4b42bc..aa2353ddbf8 100644 --- a/src/crypto/tls/ech_provider.go +++ b/src/crypto/tls/ech_provider.go @@ -1,22 +1,34 @@ +// Copyright 2020 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + package tls +import ( + "circl/hpke" + "circl/kem" + "errors" + "fmt" + + "golang.org/x/crypto/cryptobyte" +) + +const ( + maxConfigIdLen = 255 +) + // ECHProvider specifies the interface of an ECH service provider that decrypts // the ECH payload on behalf of the client-facing server. It also defines the // set of acceptable ECH configurations. type ECHProvider interface { - // GetContext attempts to construct the HPKE context used by the - // client-facing server for decryption. (See draft-irtf-cfrg-hpke-05, + // GetDecryptionContext attempts to construct the HPKE context used by the + // client-facing server for decryption. (See draft-irtf-cfrg-hpke-07, // Section 5.2.) // // handle encodes the parameters of the client's "encrypted_client_hello" // extension that are needed to construct the context. In - // draft-ietf-tls-esni-08, these are the ECH cipher suite, the identity of + // draft-ietf-tls-esni-09, these are the ECH cipher suite, the identity of // the ECH configuration, and the encapsulated key. // - // hrrPsk is the PSK used to construct the context. This is set by the - // caller in case the server previously sent a HelloRetryRequest in this - // connection. Otherwise, len(hrrPsk) == 0. - // // version is the version of ECH indicated by the client. // // res.Status == ECHProviderStatusSuccess indicates the call was successful @@ -25,9 +37,11 @@ type ECHProvider interface { // res.Status == ECHProviderStatusReject indicates the caller must reject // ECH. res.RetryConfigs may be set. // - // res.Status == ECHProviderStatusAbort indicates the caller must abort the - // handshake. res.Alert and res.Error are set. - GetContext(handle, hrrPsk []byte, version uint16) (res ECHProviderResult) + // res.Status == ECHProviderStatusAbort indicates the caller should abort + // the handshake. Note that, in some cases, it's appropriate to reject + // rather than abort. In particular, aborting with "illegal_parameter" might + // "stick out". res.Alert and res.Error are set. + GetDecryptionContext(handle []byte, version uint16) (res ECHProviderResult) } // ECHProviderStatus is the status of the ECH provider's response. @@ -57,22 +71,242 @@ type ECHProviderResult struct { // by the provider and no error was reported. The data has the following // format (in TLS syntax): // - // enum { sender(0), receiver(1) } HpkeRole; + // enum { sealer(0), opener(1) } HpkeRole; // // struct { // HpkeRole role; - // HpkeKemId kem_id; // as defined in draft-irtf-cfrg-hpke-05 - // HpkeKdfId kdf_id; // as defined in draft-irtf-cfrg-hpke-05 - // HpkeAeadId aead_id; // as defined in draft-irtf-cfrg-hpke-05 + // HpkeKemId kem_id; // as defined in draft-irtf-cfrg-hpke-07 + // HpkeKdfId kdf_id; // as defined in draft-irtf-cfrg-hpke-07 + // HpkeAeadId aead_id; // as defined in draft-irtf-cfrg-hpke-07 // opaque exporter_secret<0..255>; // opaque key<0..255>; - // opaque nonce<0..255>; - // uint64 seq; + // opaque base_nonce<0..255>; + // opaque seq<0..255>; // } HpkeContext; - // - // NOTE(cjpatton): This format is specified neither in the ECH spec nor the - // HPKE spec. It is the format chosen for the HPKE implementation that we're - // using. See - // https://github.com/cisco/go-hpke/blob/9e7d3e90b7c3a5b08f3099c49520c587568c77d6/hpke.go#L198 Context []byte } + +// EXP_ECHKeySet implements the ECHProvider interface for a sequence of ECH keys. +// +// NOTE: This API is EXPERIMENTAL and subject to change. +type EXP_ECHKeySet struct { + // The serialized ECHConfigs, in order of the server's preference. + configs []byte + + // Maps a configuration identifier to its secret key. + sk map[[maxConfigIdLen + 1]byte]EXP_ECHKey +} + +// EXP_NewECHKeySet constructs an EXP_ECHKeySet. +func EXP_NewECHKeySet(keys []EXP_ECHKey) (*EXP_ECHKeySet, error) { + keySet := new(EXP_ECHKeySet) + keySet.sk = make(map[[maxConfigIdLen + 1]byte]EXP_ECHKey) + configs := make([]byte, 0) + for _, key := range keys { + // Compute the set of KDF algorithms supported by this configuration. + kdfIds := make(map[uint16]bool) + for _, suite := range key.config.suites { + kdfIds[suite.kdfId] = true + } + + // Compute the configuration identifier for each KDF. + for kdfId, _ := range kdfIds { + configId, err := key.config.id(hpke.KDF(kdfId)) + if err != nil { + return nil, err + } + + var b cryptobyte.Builder + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(configId) + }) + var id [maxConfigIdLen + 1]byte // Initialized to zero + copy(id[:], b.BytesOrPanic()) + keySet.sk[id] = key + } + + configs = append(configs, key.config.raw...) + } + + var b cryptobyte.Builder + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(configs) + }) + keySet.configs = b.BytesOrPanic() + + return keySet, nil +} + +// GetDecryptionContext is required by the ECHProvider interface. +func (keySet *EXP_ECHKeySet) GetDecryptionContext(rawHandle []byte, version uint16) (res ECHProviderResult) { + // Propagate retry configurations regardless of the result. The caller sends + // these to the clients only if it rejects. + res.RetryConfigs = keySet.configs + + // Ensure we know how to proceed, i.e., the caller has indicated a supported + // version of ECH. Currently only draft-ietf-tls-esni-09 is supported. + if version != extensionECH { + res.Status = ECHProviderAbort + res.Alert = uint8(alertInternalError) + res.Error = errors.New("version not supported") + return // Abort + } + + // Parse the handle. + s := cryptobyte.String(rawHandle) + handle := new(echContextHandle) + if !echReadContextHandle(&s, handle) || !s.Empty() { + // This is the result of a client-side error. However, aborting with + // "illegal_parameter" would stick out, so we reject instead. + res.Status = ECHProviderReject + res.RetryConfigs = keySet.configs + return // Reject + } + handle.raw = rawHandle + + // Look up the secret key for the configuration indicated by the client. + var id [maxConfigIdLen + 1]byte // Initialized to zero + var b cryptobyte.Builder + b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(handle.configId) + }) + copy(id[:], b.BytesOrPanic()) + key, ok := keySet.sk[id] + if !ok { + res.Status = ECHProviderReject + res.RetryConfigs = keySet.configs + return // Reject + } + + // Ensure that support for the selected ciphersuite is indicated by the + // configuration. + suite := handle.suite + if !key.config.isPeerCipherSuiteSupported(suite) { + // This is the result of a client-side error. However, aborting with + // "illegal_parameter" would stick out, so we reject instead. + res.Status = ECHProviderReject + res.RetryConfigs = keySet.configs + return // Reject + } + + // Ensure the version indicated by the client matches the version supported + // by the configuration. + if version != key.config.version { + // This is the result of a client-side error. However, aborting with + // "illegal_parameter" would stick out, so we reject instead. + res.Status = ECHProviderReject + res.RetryConfigs = keySet.configs + return // Reject + } + + // Compute the decryption context. + opener, err := key.setupOpener(handle.enc, suite) + if err != nil { + res.Status = ECHProviderAbort + res.Alert = uint8(alertInternalError) + res.Error = err + return // Abort + } + + // Serialize the decryption context. + res.Context, err = opener.MarshalBinary() + if err != nil { + res.Status = ECHProviderAbort + res.Alert = uint8(alertInternalError) + res.Error = err + return // Abort + } + + res.Status = ECHProviderSuccess + return // Success +} + +// EXP_ECHKey represents an ECH key and its corresponding configuration. The +// encoding of an ECH Key has the format defined below (in TLS syntax). Note +// that the ECH standard does not specify this format. +// +// struct { +// opaque sk<0..2^16-1>; +// ECHConfig config<0..2^16>; // draft-ietf-tls-esni-09 +// } ECHKey; +type EXP_ECHKey struct { + sk kem.PrivateKey + config ECHConfig +} + +// EXP_UnmarshalECHKeys parses a sequence of ECH keys. +func EXP_UnmarshalECHKeys(raw []byte) ([]EXP_ECHKey, error) { + var ( + err error + key EXP_ECHKey + sk, config, contents cryptobyte.String + ) + s := cryptobyte.String(raw) + keys := make([]EXP_ECHKey, 0) +KeysLoop: + for !s.Empty() { + if !s.ReadUint16LengthPrefixed(&sk) || + !s.ReadUint16LengthPrefixed(&config) { + return nil, errors.New("error parsing key") + } + + key.config.raw = config + if !config.ReadUint16(&key.config.version) || + !config.ReadUint16LengthPrefixed(&contents) || + !config.Empty() { + return nil, errors.New("error parsing config") + } + + if key.config.version != extensionECH { + continue KeysLoop + } + if !readConfigContents(&contents, &key.config) { + return nil, errors.New("error parsing config contents") + } + + for _, suite := range key.config.suites { + if !hpke.KDF(suite.kdfId).IsValid() || + !hpke.AEAD(suite.aeadId).IsValid() { + continue KeysLoop + } + } + + kem := hpke.KEM(key.config.kemId) + if !kem.IsValid() { + continue KeysLoop + } + key.config.pk, err = kem.Scheme().UnmarshalBinaryPublicKey(key.config.rawPublicKey) + if err != nil { + return nil, fmt.Errorf("error parsing public key: %s", err) + } + key.sk, err = kem.Scheme().UnmarshalBinaryPrivateKey(sk) + if err != nil { + return nil, fmt.Errorf("error parsing secret key: %s", err) + } + + keys = append(keys, key) + } + return keys, nil +} + +// setupOpener computes the HPKE context used by the server in the ECH +// extension.i +func (key *EXP_ECHKey) setupOpener(enc []byte, suite echCipherSuite) (hpke.Opener, error) { + if key.config.raw == nil { + panic("raw config not set") + } + hpkeSuite, err := hpkeAssembleSuite( + key.config.kemId, + suite.kdfId, + suite.aeadId, + ) + if err != nil { + return nil, err + } + info := append(append([]byte(echHpkeInfoSetup), 0), key.config.raw...) + receiver, err := hpkeSuite.NewReceiver(key.sk, info) + if err != nil { + return nil, err + } + return receiver.Setup(enc) +} diff --git a/src/crypto/tls/ech_test.go b/src/crypto/tls/ech_test.go index e48a592f5d1..1155779e5a7 100644 --- a/src/crypto/tls/ech_test.go +++ b/src/crypto/tls/ech_test.go @@ -4,23 +4,19 @@ package tls import ( + "bytes" "crypto/rand" - "crypto/tls/internal/hpke" "crypto/x509" "encoding/pem" "errors" "fmt" "testing" "time" - - "golang.org/x/crypto/cryptobyte" ) const ( echTestBackendServerName = "example.com" echTestClientFacingServerName = "cloudflare-esni.com" - - maxConfigIdLen = 255 ) // The client's root CA certificate. @@ -92,237 +88,45 @@ AwEHoUQDQgAElq+qE01Z87KIPHWdEAk0cWssHkRnS4aQCDfstoxDIWQ4rMwHvrWG Fy/vytRwyjhHuX9ntc5ArCpwbAmY+oW/4w== -----END PRIVATE KEY-----` -// The sequence of ECH configurations used by the client. +// The ECH keys used by the client-facing server. +const echTestKeys = `-----BEGIN ECH KEYS----- +ACA/SG/gkFYqQ0vvrgz8CRtn8QBhUdmJIHrpLRa4MHbjpgBT/gkATwATY2xvdWRm +bGFyZS1lc25pLmNvbQAgRcve568ZJiCCyZJvwrIx0FIoSCQihzse5EJM36v98BcA +IAAQAAEAAQABAAMAAgABAAIAAwAAAAAAIOpdZ5c3Q1EIq5eztNrW+7GcUiPKPDhm +6JqulMAt5NLmAHT+CQBwABNjbG91ZGZsYXJlLWVzbmkuY29tAEEEpVCefVOCJ4vL +Ae6XXPx/d6w/yu4qP2asEfG/aYceggNFRS13f2FhfmTsFsctRsrfi0KR4fPlE469 +PxZnNLJ8wAAQABAAAQABAAEAAwACAAEAAgADAAAAAA== +-----END ECH KEYS-----` + +// A sequence of ECH keys with unsupported versions. +const echTestInvalidVersionKeys = `-----BEGIN ECH KEYS----- +ACChoR9Zm0Y7YJLxh4NHlF9cDWOYVdtbpsXNsLbEejCw4gBTvu8ATwATY2xvdWRm +bGFyZS1lc25pLmNvbQAg3on70PKtaF9Mp5WQghrykTszqKlaX02Pi+WYpbCza1gA +IAAQAAEAAQABAAMAAgABAAIAAwAAAAA= +-----END ECH KEYS-----` + +// The sequence of ECH configurations corresponding to echTestKeys. const echTestConfigs = `-----BEGIN ECH CONFIGS----- -AMf+CABPABNjbG91ZGZsYXJlLWVzbmkuY29tACD683Skz2S4bDVHT+GAv5KAUyyl -3r5cLeq4qvMBI9ibPAAgABAAAQABAAEAAwACAAEAAgADAAAAAP4IAHAAE2Nsb3Vk -ZmxhcmUtZXNuaS5jb20AQQSZfpA6fzxJ6D8QM/skU24lfUPjdeVWBNqPFLLRjT8m -jDldpNzqsIwgmnNrD2uY3nhSdLVnLJho07qFju+2VmjYABAAEAABAAEAAQADAAIA +AMf+CQBPABNjbG91ZGZsYXJlLWVzbmkuY29tACBFy97nrxkmIILJkm/CsjHQUihI +JCKHOx7kQkzfq/3wFwAgABAAAQABAAEAAwACAAEAAgADAAAAAP4JAHAAE2Nsb3Vk +ZmxhcmUtZXNuaS5jb20AQQSlUJ59U4Ini8sB7pdc/H93rD/K7io/ZqwR8b9phx6C +A0VFLXd/YWF+ZOwWxy1Gyt+LQpHh8+UTjr0/Fmc0snzAABAAEAABAAEAAQADAAIA AQACAAMAAAAA -----END ECH CONFIGS-----` // An invalid sequence of ECH configurations. -const echTestInvalidConfigs = `-----BEGIN ECH CONFIGS----- -AFP+CABPABNjbG91ZGZsYXJlLWVzbmkuY29tACBcOATtuDyCM0u6yNprD7YeSJH9 -gQYYei3M1ZzJe2JbTAAgABAAAQABAAEAAwACAAEAAgADAAAAAA== +const echTestStaleConfigs = `-----BEGIN ECH CONFIGS----- +AFP+CQBPABNjbG91ZGZsYXJlLWVzbmkuY29tACDA9Z4YbY7f6HMlsUUhSHdioVr9 +s6vH9g5PPTkgR83MIwAgABAAAQABAAEAAwACAAEAAgADAAAAAA== -----END ECH CONFIGS-----` -// The ECH keys corresponding to echTestConfigs, used by the client-facing -// server. -const echTestKeys = `-----BEGIN ECH KEYS----- -ACATTNkMz0kX/6CSrh/KlO82oKyy/JIwBwqb61sKbzKrigBT/ggATwATY2xvdWRm -bGFyZS1lc25pLmNvbQAg+vN0pM9kuGw1R0/hgL+SgFMspd6+XC3quKrzASPYmzwA -IAAQAAEAAQABAAMAAgABAAIAAwAAAAAAIBhXMi4tyQeKOjmFeDYWmebWgVUj+IQd -Ir/qaiw2V5bIAHT+CABwABNjbG91ZGZsYXJlLWVzbmkuY29tAEEEmX6QOn88Seg/ -EDP7JFNuJX1D43XlVgTajxSy0Y0/Jow5XaTc6rCMIJpzaw9rmN54UnS1ZyyYaNO6 -hY7vtlZo2AAQABAAAQABAAEAAwACAAEAAgADAAAAAA== ------END ECH KEYS-----` - -// echKeySet implements the ECHProvider interface for a sequence of ECH keys. -type echKeySet struct { - // The serialized ECHConfigs, in order of the server's preference. - configs []byte - - // Maps a configuration identifier to its secret key. - sk map[[maxConfigIdLen + 1]byte]echKey -} - -// echNewKeySet constructs an echKeySet. -func echNewKeySet(keys []echKey) (*echKeySet, error) { - keySet := new(echKeySet) - keySet.sk = make(map[[maxConfigIdLen + 1]byte]echKey) - configs := make([]byte, 0) - for _, key := range keys { - // Compute the set of KDF algorithms supported by this configuration. - kdfIds := make(map[uint16]bool) - for _, suite := range key.config.suites { - kdfIds[suite.kdfId] = true - } - - // Compute the configuration identifier for each KDF. - for kdfId, _ := range kdfIds { - kdf, err := echCreateHpkeKdf(kdfId) - if err != nil { - return nil, err - } - configId := kdf.Expand(kdf.Extract(nil, key.config.raw), []byte(echHpkeInfoConfigId), kdf.OutputSize()) - var b cryptobyte.Builder - b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes(configId) - }) - var id [maxConfigIdLen + 1]byte // Initialized to zero - copy(id[:], b.BytesOrPanic()) - keySet.sk[id] = key - } - - configs = append(configs, key.config.raw...) - } - - var b cryptobyte.Builder - b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes(configs) - }) - keySet.configs = b.BytesOrPanic() - - return keySet, nil -} - -// GetContext is required by the ECHProvider interface. -func (keySet *echKeySet) GetContext(rawHandle, hrrPsk []byte, version uint16) (res ECHProviderResult) { - // Ensure we know how to proceed. Currently only draft-ietf-tls-esni-08 is - // supported. - if version != extensionECH { - res.Status = ECHProviderAbort - res.Alert = uint8(alertInternalError) - res.Error = errors.New("version not supported") - return // Abort - } - - // Parse the handle. - s := cryptobyte.String(rawHandle) - handle := new(echContextHandle) - if !echReadContextHandle(&s, handle) || !s.Empty() { - res.Status = ECHProviderAbort - res.Alert = uint8(alertIllegalParameter) - res.Error = errors.New("error parsing context handle") - return // Abort - } - handle.raw = rawHandle - - // Look up the secret key for the configuration indicated by the client. - var id [maxConfigIdLen + 1]byte // Initialized to zero - var b cryptobyte.Builder - b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes(handle.configId) - }) - copy(id[:], b.BytesOrPanic()) - key, ok := keySet.sk[id] - if !ok { - res.Status = ECHProviderReject - res.RetryConfigs = keySet.configs - return // Reject - } - - // Ensure that support for the selected ciphersuite is indicated by the - // configuration. - suite := handle.suite - if !key.config.isPeerCipherSuiteSupported(suite) { - res.Status = ECHProviderAbort - res.Alert = uint8(alertIllegalParameter) - res.Error = errors.New("peer cipher suite is not supported") - return // Abort - } - - // Ensure the version indicated by the client matches the version supported - // by the configuration. - if version != key.config.version { - res.Status = ECHProviderAbort - res.Alert = uint8(alertIllegalParameter) - res.Error = errors.New("peer version not supported") - return // Abort - } - - // Compute the decryption context. - context, err := key.setupServerContext(handle.enc, hrrPsk, suite) - if err != nil { - res.Status = ECHProviderAbort - res.Alert = uint8(alertInternalError) - res.Error = err - return // Abort - } - - // Serialize the decryption context. - res.Context, err = context.marshalServer() - if err != nil { - res.Status = ECHProviderAbort - res.Alert = uint8(alertInternalError) - res.Error = err - return // Abort - } - - res.Status = ECHProviderSuccess - // Send retry configs just in case the caller needs to reject. - res.RetryConfigs = keySet.configs - return // May accept -} - -// echKey represents an ECH key and its corresponding configuration. The -// encoding of an ECH Key has following structure (in TLS syntax): -// -// struct { -// opaque private_key<0..2^16-1> -// uint16 length<0..2^16-1> // length of config -// ECHConfig config; // as defined in draft-ietf-tls-esni-08 -// } ECHKey; -// -// NOTE(cjpatton): This format is not specified in the ECH draft. -type echKey struct { - config ECHConfig - sk hpke.KEMPrivateKey -} - -// echUnmarshalKeys parses a sequence of ECH keys. -func echUnmarshalKeys(raw []byte) ([]echKey, error) { - s := cryptobyte.String(raw) - keys := make([]echKey, 0) - var key echKey - for !s.Empty() { - var rawSecretKey, rawConfig cryptobyte.String - if !s.ReadUint16LengthPrefixed(&rawSecretKey) || - !s.ReadUint16LengthPrefixed(&rawConfig) { - return nil, fmt.Errorf("error parsing key") - } - config, err := echUnmarshalConfig(rawConfig) - if err != nil { - if err == echUnrecognizedVersionError { - // Skip config with unrecognized version. - continue - } - return nil, err - } - key.config = *config - key.sk, err = echUnmarshalHpkeSecretKey(rawSecretKey, key.config.kemId) - if err != nil { - return nil, err - } - keys = append(keys, key) - } - return keys, nil -} - -// setupServerContext computes the HPKE context used by the server in the ECH -// extension. If hrrPsk is set, then "SetupPSKR()" is used to generate the -// context. Otherwise, "SetupBaseR()" is used. (See irtf-cfrg-hpke-05 for -// details.) -func (key *echKey) setupServerContext(enc, hrrPsk []byte, suite echCipherSuite) (*echContext, error) { - hpkeSuite, err := hpkeAssembleCipherSuite(key.config.kemId, suite.kdfId, suite.aeadId) - if err != nil { - return nil, err - } - - info := append(append([]byte(echHpkeInfoSetup), 0), key.config.raw...) - var decryptechContext *hpke.DecryptContext - if hrrPsk != nil { - decryptechContext, err = hpke.SetupPSKR(hpkeSuite, key.sk, enc, hrrPsk, []byte(echHpkeHrrKeyId), info) - if err != nil { - return nil, err - } - } else { - decryptechContext, err = hpke.SetupBaseR(hpkeSuite, key.sk, enc, info) - if err != nil { - return nil, err - } - } - return &echContext{nil, decryptechContext, false, hpkeSuite}, nil -} - // echTestProviderAlwaysAbort mocks an ECHProvider that, in response to any // request, sets an alert and returns an error. The client-facing server must // abort the handshake. type echTestProviderAlwaysAbort struct{} // Required by the ECHProvider interface. -func (p echTestProviderAlwaysAbort) GetContext(_, _ []byte, _ uint16) (res ECHProviderResult) { +func (p echTestProviderAlwaysAbort) GetDecryptionContext(_ []byte, _ uint16) (res ECHProviderResult) { res.Status = ECHProviderAbort res.Alert = uint8(alertInternalError) res.Error = errors.New("provider failed") @@ -334,32 +138,11 @@ func (p echTestProviderAlwaysAbort) GetContext(_, _ []byte, _ uint16) (res ECHPr type echTestProviderAlwaysReject struct{} // Required by the ECHProvider interface. -func (p echTestProviderAlwaysReject) GetContext(_, _ []byte, _ uint16) (res ECHProviderResult) { +func (p echTestProviderAlwaysReject) GetDecryptionContext(_ []byte, _ uint16) (res ECHProviderResult) { res.Status = ECHProviderReject return // Reject without retry configs } -// echTestProviderRejectAfterHRR accepts the client ECH configuration on the -// first call, but fails on further invocations. This simulates a scenario where -// the server performs key rotation while a HRR was triggered. Even if the -// client uses the same ECHConfig after a HRR, the server will be unable to -// process it. -type echTestProviderRejectAfterHRR struct { - keySet *echKeySet // Used on the first call - invocations int -} - -// Required by the ECHProvider interface. -func (p *echTestProviderRejectAfterHRR) GetContext(handle, hrrPsk []byte, version uint16) (res ECHProviderResult) { - p.invocations++ - if p.invocations > 1 { - res.Status = ECHProviderReject - res.RetryConfigs = []byte("invalid config") - return // Reject - } - return p.keySet.GetContext(handle, hrrPsk, version) -} - func echTestLoadConfigs(pemData string) []ECHConfig { block, rest := pem.Decode([]byte(pemData)) if block == nil || block.Type != "ECH CONFIGS" || len(rest) > 0 { @@ -374,18 +157,18 @@ func echTestLoadConfigs(pemData string) []ECHConfig { return configs } -func echTestLoadKeySet() *echKeySet { - block, rest := pem.Decode([]byte(echTestKeys)) +func echTestLoadKeySet(pemData string) *EXP_ECHKeySet { + block, rest := pem.Decode([]byte(pemData)) if block == nil || block.Type != "ECH KEYS" || len(rest) > 0 { panic("pem decoding fails") } - keys, err := echUnmarshalKeys(block.Bytes) + keys, err := EXP_UnmarshalECHKeys(block.Bytes) if err != nil { panic(err) } - keySet, err := echNewKeySet(keys) + keySet, err := EXP_NewECHKeySet(keys) if err != nil { panic(err) } @@ -408,17 +191,17 @@ type echTestCase struct { expectBackendServerName bool // client verified backend server name // client config - clientEnabled bool // client enables ECH - clientInvalidConfigs bool // client offers ECH with invalid config - clientNoConfigs bool // client sends dummy ECH if ECH enabled - clientInvalidVersion bool // client does not offer 1.3 + clientEnabled bool // client enables ECH + clientStaleConfigs bool // client offers ECH with invalid config + clientNoConfigs bool // client sends dummy ECH if ECH enabled + clientInvalidTLSVersion bool // client does not offer 1.3 // server config serverEnabled bool // server enables ECH serverProviderAlwaysAbort bool // ECH provider always aborts serverProviderAlwaysReject bool // ECH provider always rejects - serverProviderRejectAfterHRR bool // ECH provider rejects after HRR - serverInvalidVersion bool // server does not offer 1.3 + serverProviderInvalidVersion bool // ECH provider uses configs with unsupported version + serverInvalidTLSVersion bool // server does not offer 1.3 // code path triggers triggerHRR bool // server triggers HRR @@ -427,7 +210,9 @@ type echTestCase struct { triggerIllegalHandleAfterHRR bool // client sends illegal ECH extension after HRR triggerOuterExtMany bool // client sends many (not just one) outer extensions triggerOuterExtIncorrectOrder bool // client sends malformed outer extensions + triggerOuterExtIllegal bool // client sends malformed outer extensions triggerOuterExtNone bool // client does not incorporate outer extensions + triggerOuterIsInner bool // client sends "ech_is_inner" in ClientHelloOuter triggerPayloadDecryptError bool // client sends inauthentic ciphertext } @@ -472,7 +257,7 @@ var echTestCases = []echTestCase{ name: "success / bypassed: client invalid version", expectGrease: true, expectBackendServerName: true, - clientInvalidVersion: true, + clientInvalidTLSVersion: true, clientEnabled: true, serverEnabled: true, }, @@ -480,14 +265,14 @@ var echTestCases = []echTestCase{ // The client offers ECH with an invalid (e.g., stale) config. The // server sends retry configs. The client signals rejection by sending // an "ech_required" alert. - name: "success / rejected: invalid config", - expectOffered: true, - expectRejected: true, - expectClientAbort: true, - expectServerAbort: true, - clientInvalidConfigs: true, - clientEnabled: true, - serverEnabled: true, + name: "success / rejected: invalid config", + expectOffered: true, + expectRejected: true, + expectClientAbort: true, + expectServerAbort: true, + clientStaleConfigs: true, + clientEnabled: true, + serverEnabled: true, }, { // The client offers ECH, but the payload is mangled in transit. The @@ -526,15 +311,28 @@ var echTestCases = []echTestCase{ serverEnabled: true, serverProviderAlwaysReject: true, }, + { + // The client offers ECH. The server ECH rejects without sending retry + // configurations because the ECH provider returns configurations with + // unsupported versions only. + name: "success / rejected: provider invalid version", + expectServerAbort: true, + expectOffered: true, + expectServerBypassed: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + serverProviderInvalidVersion: true, + }, { // The client offers ECH. The server does not support TLS 1.3, so it // ignores the extension and continues as usual. The client does not // signal rejection because TLS 1.2 has been negotiated. - name: "success / bypassed: client-facing invalid version", - expectServerBypassed: true, - clientEnabled: true, - serverEnabled: true, - serverInvalidVersion: true, + name: "success / bypassed: client-facing invalid version", + expectServerBypassed: true, + clientEnabled: true, + serverEnabled: true, + serverInvalidTLSVersion: true, }, { // The client offers ECH. The ECH provider encounters an unrecoverable @@ -546,6 +344,16 @@ var echTestCases = []echTestCase{ serverEnabled: true, serverProviderAlwaysAbort: true, }, + { + // The client offers ECH, but sends the "ech_is_inner" extension in the + // ClientHelloOuter, causing the server to abort. + name: "server abort: hello marked as inner and outer", + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + triggerOuterIsInner: true, + }, { // The client offers ECH and it is accepted by the server. The HRR code // path is triggered. @@ -574,15 +382,15 @@ var echTestCases = []echTestCase{ // The client offers ECH with an invalid (e.g., stale) config. The // server sends retry configs. The client signals rejection. The HRR // code path is triggered. - name: "hrr / rejected: invalid config", - expectOffered: true, - expectRejected: true, - expectClientAbort: true, - expectServerAbort: true, - clientEnabled: true, - clientInvalidConfigs: true, - serverEnabled: true, - triggerHRR: true, + name: "hrr / rejected: invalid config", + expectOffered: true, + expectRejected: true, + expectClientAbort: true, + expectServerAbort: true, + clientEnabled: true, + clientStaleConfigs: true, + serverEnabled: true, + triggerHRR: true, }, { // The HRR code path is triggered. The client offered ECH in the second @@ -608,25 +416,10 @@ var echTestCases = []echTestCase{ triggerHRR: true, triggerECHBypassAfterHRR: true, }, - { - // The HRR code path is triggered. The client offers ECH. The server - // accepts for the first CH but must reject it for the second, causing - // the server to abort. This simulates what happens if the ECH provider - // falls over after the HRR is sent but before the second CH is - // consumed. - name: "hrr / server abort: reject after accept", - expectOffered: true, - expectAccepted: true, - expectServerAbort: true, - expectClientAbort: true, - clientEnabled: true, - serverEnabled: true, - serverProviderRejectAfterHRR: true, - triggerHRR: true, - }, { // The HRR code path is triggered. In the second CH, the value of the - // context handle changes illegally. + // context handle changes illegally. Specifically, the client sends a + // non-empty "config_id" and "enc". name: "hrr / server abort: illegal handle", expectOffered: true, expectAccepted: true, @@ -662,7 +455,8 @@ var echTestCases = []echTestCase{ }, { // The client offers ECH but does not implement the "outer_extension" - // mechanism correctly, + // mechanism correctly. Specifically, it sends them in the wrong order, + // causing the client and server to compute different transcripts. name: "outer extensions, incorrect order / server abort: incorrect transcript", expectOffered: true, expectAccepted: true, @@ -672,6 +466,17 @@ var echTestCases = []echTestCase{ serverEnabled: true, triggerOuterExtIncorrectOrder: true, }, + { + // The client offers ECH but does not implement the "outer_extension" + // mechanism correctly. Specifically, the "outer extensions" contains + // the codepoint for the ECH extension itself. + name: "outer extensions, illegal: illegal parameter", + expectServerAbort: true, + expectClientAbort: true, + clientEnabled: true, + serverEnabled: true, + triggerOuterExtIllegal: true, + }, } // Returns the base configurations for the client and client-facing server, @@ -819,12 +624,15 @@ func TestECHHandshake(t *testing.T) { testingECHOuterExtMany = false testingECHOuterExtNone = false testingECHOuterExtIncorrectOrder = false + testingECHOuterExtIllegal = false + testingECHOuterIsInner = false testingECHTriggerPayloadDecryptError = false }() - invalidConfigs := echTestLoadConfigs(echTestInvalidConfigs) + staleConfigs := echTestLoadConfigs(echTestStaleConfigs) configs := echTestLoadConfigs(echTestConfigs) - keySet := echTestLoadKeySet() + keySet := echTestLoadKeySet(echTestKeys) + invalidVersionKeySet := echTestLoadKeySet(echTestInvalidVersionKeys) clientConfig, serverConfig := echSetupConnTest() for i, test := range echTestCases { @@ -835,8 +643,8 @@ func TestECHHandshake(t *testing.T) { clientConfig.ClientECHConfigs = nil n++ } - if test.clientInvalidConfigs { - clientConfig.ClientECHConfigs = invalidConfigs + if test.clientStaleConfigs { + clientConfig.ClientECHConfigs = staleConfigs n++ } if n == 0 { @@ -851,7 +659,7 @@ func TestECHHandshake(t *testing.T) { clientConfig.ECHEnabled = false } - if test.clientInvalidVersion { + if test.clientInvalidTLSVersion { clientConfig.MinVersion = VersionTLS10 clientConfig.MaxVersion = VersionTLS12 } else { @@ -875,10 +683,8 @@ func TestECHHandshake(t *testing.T) { serverConfig.ServerECHProvider = &echTestProviderAlwaysReject{} n++ } - if test.serverProviderRejectAfterHRR { - serverConfig.ServerECHProvider = &echTestProviderRejectAfterHRR{ - keySet: keySet, - } + if test.serverProviderInvalidVersion { + serverConfig.ServerECHProvider = invalidVersionKeySet n++ } if n == 0 { @@ -887,7 +693,7 @@ func TestECHHandshake(t *testing.T) { panic("invalid test configuration") } - if test.serverInvalidVersion { + if test.serverInvalidTLSVersion { serverConfig.MinVersion = VersionTLS10 serverConfig.MaxVersion = VersionTLS12 } else { @@ -931,6 +737,16 @@ func TestECHHandshake(t *testing.T) { testingECHOuterExtIncorrectOrder = true n++ } + testingECHOuterExtIllegal = false + if test.triggerOuterExtIllegal { + testingECHOuterExtIllegal = true + n++ + } + testingECHOuterIsInner = false + if test.triggerOuterIsInner { + testingECHOuterIsInner = true + n++ + } testingECHIllegalHandleAfterHRR = false if test.triggerIllegalHandleAfterHRR { testingECHIllegalHandleAfterHRR = true @@ -1016,3 +832,113 @@ func TestECHHandshake(t *testing.T) { }) } } + +func TestUnmarshalConfigs(t *testing.T) { + block, rest := pem.Decode([]byte(echTestConfigs)) + if block == nil || block.Type != "ECH CONFIGS" || len(rest) > 0 { + t.Fatal("pem decoding fails") + } + + configs, err := UnmarshalECHConfigs(block.Bytes) + if err != nil { + t.Fatal(err) + } + + for _, config := range configs { + if len(config.raw) == 0 { + t.Error("raw config not set") + } + } +} + +func TestUnmarshalKeys(t *testing.T) { + block, rest := pem.Decode([]byte(echTestKeys)) + if block == nil || block.Type != "ECH KEYS" || len(rest) > 0 { + t.Fatal("pem decoding fails") + } + + keys, err := EXP_UnmarshalECHKeys(block.Bytes) + if err != nil { + t.Fatal(err) + } + + for _, key := range keys { + if len(key.config.raw) == 0 { + t.Error("raw config not set") + } + } +} + +func testECHProvider(t *testing.T, p ECHProvider, handle []byte, version uint16, want ECHProviderResult) { + got := p.GetDecryptionContext(handle, version) + if got.Status != want.Status { + t.Errorf("incorrect status: got %+v; want %+v", got.Status, want.Status) + } + if got.Alert != want.Alert { + t.Errorf("incorrect alert: got %+v; want %+v", got.Alert, want.Alert) + } + if got.Error != want.Error { + t.Errorf("incorrect error: got %+v; want %+v", got.Error, want.Error) + } + if !bytes.Equal(got.RetryConfigs, want.RetryConfigs) { + t.Errorf("incorrect retry configs: got %+v; want %+v", got.RetryConfigs, want.RetryConfigs) + } + if !bytes.Equal(got.Context, want.Context) { + t.Errorf("incorrect context: got %+v; want %+v", got.Context, want.Context) + } +} + +func TestECHProvider(t *testing.T) { + p := echTestLoadKeySet(echTestKeys) + t.Run("ok", func(t *testing.T) { + handle := []byte{ + 0, 1, 0, 1, 8, 202, 62, 220, 1, 243, 58, 247, 102, 0, 32, 40, 52, + 167, 167, 21, 125, 151, 32, 250, 255, 1, 125, 206, 103, 62, 96, 189, + 112, 126, 48, 221, 41, 198, 146, 100, 149, 29, 133, 103, 87, 87, 78, + } + context := []byte{ + 1, 0, 32, 0, 1, 0, 1, 32, 236, 67, 192, 226, 245, 110, 78, 204, 212, + 236, 85, 28, 234, 9, 249, 154, 158, 25, 69, 140, 83, 156, 41, 237, + 146, 108, 142, 83, 130, 231, 162, 53, 16, 80, 114, 44, 28, 184, 124, + 105, 82, 228, 226, 156, 178, 245, 44, 171, 175, 12, 97, 213, 61, + 253, 64, 224, 125, 59, 223, 107, 24, 119, 12, 0, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 0, + } + testECHProvider(t, p, handle, extensionECH, ECHProviderResult{ + Status: ECHProviderSuccess, + RetryConfigs: p.configs, + Context: context, + }) + }) + t.Run("invalid config id", func(t *testing.T) { + handle := []byte{ + 0, 1, 0, 1, 6, 202, 62, 220, 1, 243, 58, 0, 32, 40, 52, 167, 167, + 21, 125, 151, 32, 250, 255, 1, 125, 206, 103, 62, 96, 189, 112, 126, + 48, 221, 41, 198, 146, 100, 149, 29, 133, 103, 87, 87, 78, + } + testECHProvider(t, p, handle, extensionECH, ECHProviderResult{ + Status: ECHProviderReject, + RetryConfigs: p.configs, + }) + }) + t.Run("invalid cipher suite", func(t *testing.T) { + handle := []byte{ + 99, 99, 0, 1, 8, 202, 62, 220, 1, 243, 58, 247, 102, 0, 32, 40, 52, + 167, 167, 21, 125, 151, 32, 250, 255, 1, 125, 206, 103, 62, 96, 189, + 112, 126, 48, 221, 41, 198, 146, 100, 149, 29, 133, 103, 87, 87, 78, + } + testECHProvider(t, p, handle, extensionECH, ECHProviderResult{ + Status: ECHProviderReject, + RetryConfigs: p.configs, + }) + }) + t.Run("malformed", func(t *testing.T) { + handle := []byte{ + 0, 1, 0, 1, 8, 202, 62, 220, 1, + } + testECHProvider(t, p, handle, extensionECH, ECHProviderResult{ + Status: ECHProviderReject, + RetryConfigs: p.configs, + }) + }) +} diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index e1a3c543cfe..d0c94dcefd5 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -126,27 +126,6 @@ func (hs *clientHandshakeStateTLS13) handshake() error { } } - // Determine if ECH was accepted. - if hs.c.ech.offered { - secret := hs.suite.extract(hs.helloInner.random, nil) - context := hs.serverHello.random[:24] - acceptConfirmation := hs.suite.expandLabel(secret, echTls13LabelAcceptConfirm, context, 8) - if bytes.Equal(hs.serverHello.random[24:], acceptConfirmation) { - c.ech.accepted = true - hs.hello = hs.helloInner - hs.transcript = hs.transcriptInner - } - } - - // Resolve the server name now that ECH acceptance has been determined. - // - // NOTE(cjpatton): Currently the client sends the same ALPN extension in the - // ClientHelloInner and ClientHelloOuter. If that changes, then we'll need - // to resolve ALPN here as well. - c.serverName = hs.hello.serverName - - hs.transcript.Write(hs.serverHello.marshal()) - c.buffering = true if err := hs.processServerHello(); err != nil { return err @@ -356,9 +335,17 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { } if testingECHIllegalHandleAfterHRR { - // Triggers a server abort, since this changes the cipher suite offered - // by the client. - hs.hello.encryptedClientHello[0] ^= 0xff + // Triggers a server abort, since the "config_id" and "enc" fields are + // expected to be empty after HRR. + ech, err := echUnmarshalClient(hs.hello.ech) + if err != nil { + return err + } + ech.raw = nil + ech.handle.raw = nil + ech.handle.configId = []byte{1, 2, 3, 4} + ech.handle.enc = []byte{1, 2, 3, 4} + hs.hello.ech = ech.marshal() } if _, err := c.writeRecord(recordTypeHandshake, hs.hello.marshal()); err != nil { @@ -465,6 +452,37 @@ func (hs *clientHandshakeStateTLS13) establishHandshakeKeys() error { handshakeSecret := hs.suite.extract(sharedKey, hs.suite.deriveSecret(earlySecret, "derived", nil)) + // If ECH was offered, then determine if it was accepted. + if c.ech.offered { + confTranscript := cloneHash(hs.transcriptInner, hs.suite.hash) + if confTranscript == nil { + c.sendAlert(alertInternalError) + return errors.New("tls: internal error: failed to clone hash") + } + serverHelloConf := echEncodeServerHelloConf(hs.serverHello.marshal()) + if serverHelloConf == nil { + c.sendAlert(alertInternalError) + return errors.New("tls: internal error: failed to encode ServerHelloConf") + } + confTranscript.Write(serverHelloConf) + conf := hs.suite.deriveSecret(handshakeSecret, + echAcceptConfirmationLabel, confTranscript) + if bytes.Equal(hs.serverHello.random[24:], conf[:8]) { + c.ech.accepted = true + hs.hello = hs.helloInner + hs.transcript = hs.transcriptInner + } + } + + hs.transcript.Write(hs.serverHello.marshal()) + + // Resolve the server name now that ECH acceptance has been determined. + // + // NOTE(cjpatton): Currently the client sends the same ALPN extension in the + // ClientHelloInner and ClientHelloOuter. If that changes, then we'll need + // to resolve ALPN here as well. + c.serverName = hs.hello.serverName + clientSecret := hs.suite.deriveSecret(handshakeSecret, clientHandshakeTrafficLabel, hs.transcript) c.out.setTrafficSecret(hs.suite, clientSecret) @@ -519,8 +537,8 @@ func (hs *clientHandshakeStateTLS13) readServerParameters() error { // If the server rejects ECH, then it may send retry configurations. If // present, we must check them for syntactic correctness and abort if they // are not correct. - if c.ech.offered && len(encryptedExtensions.encryptedClientHello) > 0 { - c.ech.retryConfigs = encryptedExtensions.encryptedClientHello + if c.ech.offered && len(encryptedExtensions.ech) > 0 { + c.ech.retryConfigs = encryptedExtensions.ech if _, err = UnmarshalECHConfigs(c.ech.retryConfigs); err != nil { c.sendAlert(alertIllegalParameter) return fmt.Errorf("tls: ech: failed to parse retry configs: %s", err) diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index 41075eaf044..5b713c22440 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -92,8 +92,9 @@ type clientHelloMsg struct { pskModes []uint8 pskIdentities []pskIdentity pskBinders [][]byte - encryptedClientHelloOffered bool - encryptedClientHello []byte + ech []byte + echIsInner bool + echIsOuter bool } func (m *clientHelloMsg) marshal() []byte { @@ -123,15 +124,18 @@ func (m *clientHelloMsg) marshal() []byte { bWithoutExtensions := *b b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { - if m.encryptedClientHelloOffered { - // draft-ietf-tls-esni-08, "encrypted_client_hello" + if m.echIsOuter { + // draft-ietf-tls-esni-09, "encrypted_client_hello" b.AddUint16(extensionECH) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { - // If this is ClientHelloInner, then the value is empty. - // Otherwise, the value is the ClientECH structure. - b.AddBytes(m.encryptedClientHello) + b.AddBytes(m.ech) }) } + if m.echIsInner { + // draft-ietf-tls-esni-09, "ech_is_inner" + b.AddUint16(extensionECHIsInner) + b.AddUint16(0) + } if len(m.serverName) > 0 { // RFC 6066, Section 3 b.AddUint16(extensionServerName) @@ -406,11 +410,17 @@ func (m *clientHelloMsg) unmarshal(data []byte) bool { switch extension { case extensionECH: - // draft-ietf-tls-esni-08, "encrypted_client_hello" - m.encryptedClientHelloOffered = true - if !extData.ReadBytes(&m.encryptedClientHello, len(extData)) { + // draft-ietf-tls-esni-09, "encrypted_client_hello" + if !extData.ReadBytes(&m.ech, len(extData)) { + return false + } + m.echIsOuter = true + case extensionECHIsInner: + // draft-ietf-tls-esni-09, "ech_is_inner" + if !extData.ReadBytes(&m.ech, len(extData)) { return false } + m.echIsInner = true case extensionServerName: // RFC 6066, Section 3 var nameList cryptobyte.String @@ -857,9 +867,9 @@ func (m *serverHelloMsg) unmarshal(data []byte) bool { } type encryptedExtensionsMsg struct { - raw []byte - alpnProtocol string - encryptedClientHello []byte + raw []byte + alpnProtocol string + ech []byte } func (m *encryptedExtensionsMsg) marshal() []byte { @@ -881,13 +891,13 @@ func (m *encryptedExtensionsMsg) marshal() []byte { }) }) } - if len(m.encryptedClientHello) > 0 { - // draft-ietf-tls-esni-08, "encrypted_client_hello" + if len(m.ech) > 0 { + // draft-ietf-tls-esni-09, "encrypted_client_hello" b.AddUint16(extensionECH) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { // If the client-facing server rejects ECH, then it may // sends retry configurations here. - b.AddBytes(m.encryptedClientHello) + b.AddBytes(m.ech) }) } }) @@ -928,8 +938,8 @@ func (m *encryptedExtensionsMsg) unmarshal(data []byte) bool { } m.alpnProtocol = string(proto) case extensionECH: - // draft-ietf-tls-esni-08 - if !extData.ReadBytes(&m.encryptedClientHello, len(extData)) { + // draft-ietf-tls-esni-09 + if !extData.ReadBytes(&m.ech, len(extData)) { return false } default: diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 0f13f88f645..9da869a2e9c 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -142,7 +142,7 @@ func (c *Conn) readClientHello() (*clientHelloMsg, error) { // or GetCertifciate(). Hence, it is not currently possible to reject ECH if // we don't recognize the inner SNI. This may or may not be desirable in the // future. - clientHello, err = c.echAcceptOrBypass(clientHello) + clientHello, err = c.echAcceptOrReject(clientHello) if err != nil { return nil, fmt.Errorf("tls: %s", err) // Alert sent. } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 21c430360a6..ab8c368ffbf 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -177,6 +177,13 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { return err } + if hs.clientHello.echIsInner { + // If confirming ECH acceptance, then clear the last 8 bytes of the + // ServerHello.random in preparation for computing the confirmation + // hint. + copy(hs.hello.random[24:], []byte{0, 0, 0, 0, 0, 0, 0, 0}) + } + if len(hs.clientHello.secureRenegotiation) != 0 { c.sendAlert(alertHandshakeFailure) return errors.New("tls: initial handshake had non-empty renegotiation extension") @@ -531,7 +538,7 @@ func (hs *serverHandshakeStateTLS13) doHelloRetryRequest(selectedGroup CurveID) return unexpectedMessageError(clientHello, msg) } - clientHello, err = c.echAcceptOrBypass(clientHello) + clientHello, err = c.echAcceptOrReject(clientHello) if err != nil { return fmt.Errorf("tls: %s", err) // Alert sent } @@ -616,13 +623,26 @@ func illegalClientHelloChange(ch, ch1 *clientHelloMsg) bool { func (hs *serverHandshakeStateTLS13) sendServerParameters() error { c := hs.c + earlySecret := hs.earlySecret + if earlySecret == nil { + earlySecret = hs.suite.extract(nil, nil) + } + hs.handshakeSecret = hs.suite.extract(hs.sharedKey, + hs.suite.deriveSecret(earlySecret, "derived", nil)) + // Confirm ECH acceptance. - if hs.clientHello.encryptedClientHelloOffered && - len(hs.clientHello.encryptedClientHello) == 0 { - secret := hs.suite.extract(hs.clientHello.random, nil) - context := hs.hello.random[:24] - acceptConfirmation := hs.suite.expandLabel(secret, echTls13LabelAcceptConfirm, context, 8) - copy(hs.hello.random[24:], acceptConfirmation) + if hs.clientHello.echIsInner { + confTranscript := cloneHash(hs.transcript, hs.suite.hash) + if confTranscript == nil { + c.sendAlert(alertInternalError) + return errors.New("tls: internal error: failed to clone hash") + } + confTranscript.Write(hs.clientHello.marshal()) + confTranscript.Write(hs.hello.marshal()) + conf := hs.suite.deriveSecret(hs.handshakeSecret, + echAcceptConfirmationLabel, confTranscript) + copy(hs.hello.random[24:], conf[:8]) + hs.hello.raw = nil } hs.transcript.Write(hs.clientHello.marshal()) @@ -637,13 +657,6 @@ func (hs *serverHandshakeStateTLS13) sendServerParameters() error { return err } - earlySecret := hs.earlySecret - if earlySecret == nil { - earlySecret = hs.suite.extract(nil, nil) - } - hs.handshakeSecret = hs.suite.extract(hs.sharedKey, - hs.suite.deriveSecret(earlySecret, "derived", nil)) - clientSecret := hs.suite.deriveSecret(hs.handshakeSecret, clientHandshakeTrafficLabel, hs.transcript) c.in.setTrafficSecret(hs.suite, clientSecret) @@ -671,8 +684,8 @@ func (hs *serverHandshakeStateTLS13) sendServerParameters() error { } } - if len(c.ech.retryConfigs) > 0 { - encryptedExtensions.encryptedClientHello = c.ech.retryConfigs + if !c.ech.accepted && len(c.ech.retryConfigs) > 0 { + encryptedExtensions.ech = c.ech.retryConfigs } hs.transcript.Write(encryptedExtensions.marshal()) diff --git a/src/crypto/tls/hpke.go b/src/crypto/tls/hpke.go index ef6c726b490..a0867497b11 100644 --- a/src/crypto/tls/hpke.go +++ b/src/crypto/tls/hpke.go @@ -4,81 +4,42 @@ package tls import ( - "crypto/tls/internal/hpke" + "circl/hpke" "errors" "fmt" ) -const ( - // Supported KEMs - hpkeKemDhKemX25519HkdfSha256 = uint16(hpke.DHKEM_X25519) - hpkeKemDhKemP256kdfSha256 = uint16(hpke.DHKEM_P256) - - // Supported KDFs - hpkeKdfHkdfSha256 = uint16(hpke.KDF_HKDF_SHA256) - hpkeKdfHkdfSha384 = uint16(hpke.KDF_HKDF_SHA384) - - // Supported AEADs - hpkeAeadAes128Gcm = uint16(hpke.AEAD_AESGCM128) - hpkeAeadChaCha20Poly1305 = uint16(hpke.AEAD_CHACHA20POLY1305) - - // Stand-in values for algorithms that are unknown prior to a particular - // operation. Note that these are mandatory-to-implement algorithms for ECH - // since draft-ietf-tls-esni-08. - // - // There is a slight mismatch between the API exported by HPKE and the API - // required to implement the ECH logic in the TLS stack. Namely, an "HPKE - // ciphersuite" is a (KEM, KDF, AEAD) triple, and as such, the API of the - // HPKE implementation we use, github.com/cisco/go-hpke, presumes all three - // algorithms are known prior to any HPKE operation. In contrast, an "ECH - // ciphersuite" is a (KDF, AEAD) pair, meaning the KDF and AEAD may not be - // known when doing a KEM operation, e.g., generating a KEM key pair. This - // library provides a thin wrapper around github.com/cisco/go-hpke that - // resolves this mismatch. - dummyKemId = hpkeKemDhKemX25519HkdfSha256 - dummyKdfId = hpkeKdfHkdfSha256 - dummyAeadId = hpkeAeadAes128Gcm +// The mandatory-to-implement HPKE cipher suite for use with the ECH extension. +var defaultHPKESuite hpke.Suite - // The ciphertext expansion incurred by the AEAD identified by dummyAeadId. - dummyAeadOverheadLen = 16 - - // The output size of "Expand()" for the KDF identified by dummyKdfId. - dummyKdfOutputLen = 32 +const ( + defaultHPKESuiteTagLen int = 16 // AEAD_AES128GCM ) -func init() { - // Ensure that this package supports the mandatory-to-implement cipher suite - // for the ECH extension. - _, err := hpkeAssembleCipherSuite(hpkeKemDhKemX25519HkdfSha256, hpkeKdfHkdfSha256, hpkeAeadAes128Gcm) - if err != nil { - panic(fmt.Errorf("internal error: ech: failed to assemble MTI cipher suite: %s", err)) +func hpkeAssembleSuite(kemId, kdfId, aeadId uint16) (hpke.Suite, error) { + kem := hpke.KEM(kemId) + if !kem.IsValid() { + return hpke.Suite{}, errors.New("KEM is not supported") } -} - -// hpkeAssembleHpkeCipherSuite maps the codepoints for an HPKE ciphersuite to -// the ciphersuite's internal representation, verifying that the host supports -// the cipher suite. -// -// NOTE: draft-irtf-cfrg-hpke-05 reserves the `0x0000` code point for dummy KEM, -// KDF, and AEAD identifiers. `AssembleCipherSuite` interprets '0x0000' as an -// invalid algorithm. -func hpkeAssembleCipherSuite(kemId, kdfId, aeadId uint16) (hpke.CipherSuite, error) { - if kemId != hpkeKemDhKemX25519HkdfSha256 && - kemId != hpkeKemDhKemP256kdfSha256 { - return hpke.CipherSuite{}, errors.New("KEM not supported") + kdf := hpke.KDF(kdfId) + if !kdf.IsValid() { + return hpke.Suite{}, errors.New("KDF is not supported") } - - if kdfId != hpkeKdfHkdfSha256 && - kdfId != hpkeKdfHkdfSha384 { - return hpke.CipherSuite{}, errors.New("KDF not supported") + aead := hpke.AEAD(aeadId) + if !aead.IsValid() { + return hpke.Suite{}, errors.New("AEAD is not supported") } + return hpke.NewSuite(kem, kdf, aead), nil +} - if aeadId != hpkeAeadAes128Gcm && - aeadId != hpkeAeadChaCha20Poly1305 { - return hpke.CipherSuite{}, errors.New("AEAD not supported") +func init() { + var err error + defaultHPKESuite, err = hpkeAssembleSuite( + uint16(hpke.KEM_X25519_HKDF_SHA256), + uint16(hpke.KDF_HKDF_SHA256), + uint16(hpke.AEAD_AES128GCM), + ) + if err != nil { + panic(fmt.Sprintf("hpke: mandatory-to-implement cipher suite not supported: %s", err)) } - - // Verify that the ciphersuite is supported by github.com/cisco/go-hpke and - // return the ciphersuite's internal representation. - return hpke.AssembleCipherSuite(hpke.KEMID(kemId), hpke.KDFID(kdfId), hpke.AEADID(aeadId)) } diff --git a/src/crypto/tls/internal/hpke/LICENSE b/src/crypto/tls/internal/hpke/LICENSE deleted file mode 100644 index a6995a82faa..00000000000 --- a/src/crypto/tls/internal/hpke/LICENSE +++ /dev/null @@ -1,25 +0,0 @@ -BSD 2-Clause License - -Copyright (c) 2020, Cisco Systems -All rights reserved. - -Redistribution and use in source and binary forms, with or without -modification, are permitted provided that the following conditions are met: - -1. Redistributions of source code must retain the above copyright notice, this - list of conditions and the following disclaimer. - -2. Redistributions in binary form must reproduce the above copyright notice, - this list of conditions and the following disclaimer in the documentation - and/or other materials provided with the distribution. - -THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" -AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE -IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE -DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE -FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL -DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR -SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, -OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE -OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/crypto/tls/internal/hpke/README.md b/src/crypto/tls/internal/hpke/README.md deleted file mode 100644 index 3fc2bbc8582..00000000000 --- a/src/crypto/tls/internal/hpke/README.md +++ /dev/null @@ -1,18 +0,0 @@ -This packages is a paired down version of [Cisco's HPKE -implementation](https://github.com/cisco/go-hpke). Its base is: - -``` -$ git clone https://github.com/cisco/go-hpke -$ cd go-hpke -$ git checkout a07eeccbf5d591fce2c172bf5b35c8d048b320bd -``` -Changes: - -* Dependency on "log" has been removed. -* Dependency on "git.schwanenlied.me/yawning/x448.git" has been removed. -* Imports from "github.com/cloudflare/circl/..." have been changed to "circl/...". -* Import from "github.com/cisco/go-tls-syntax" has been changed to - "crypto/tls/internal/syntax". -* Commented out lines 287, 538, and 557 in crypto.go. - -TODO(cjpatton): Remove this package once HPKE is implemented in CIRCL. diff --git a/src/crypto/tls/internal/hpke/crypto.go b/src/crypto/tls/internal/hpke/crypto.go deleted file mode 100644 index a6a016a7234..00000000000 --- a/src/crypto/tls/internal/hpke/crypto.go +++ /dev/null @@ -1,875 +0,0 @@ -package hpke - -import ( - "bytes" - "circl/dh/sidh" - "crypto" - "crypto/aes" - "crypto/cipher" - "crypto/elliptic" - "crypto/hmac" - "crypto/rand" - "encoding/binary" - "fmt" - "io" - "math/big" - mrand "math/rand" - - _ "crypto/sha256" - _ "crypto/sha512" - - "golang.org/x/crypto/chacha20poly1305" - "golang.org/x/crypto/curve25519" -) - -//////// -// DHKEM - -type dhScheme interface { - ID() KEMID - DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) - Serialize(pk KEMPublicKey) []byte - Deserialize(enc []byte) (KEMPublicKey, error) - DH(priv KEMPrivateKey, pub KEMPublicKey) ([]byte, error) - PublicKeySize() int - PrivateKeySize() int - - SerializePrivate(sk KEMPrivateKey) []byte - DeserializePrivate(enc []byte) (KEMPrivateKey, error) - - internalKDF() KDFScheme -} - -type dhkemScheme struct { - group dhScheme - skE KEMPrivateKey -} - -func (s dhkemScheme) ID() KEMID { - return s.group.ID() -} - -func (s dhkemScheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { - return s.group.DeriveKeyPair(ikm) -} - -func (s dhkemScheme) Serialize(pk KEMPublicKey) []byte { - return s.group.Serialize(pk) -} - -func (s dhkemScheme) SerializePrivate(sk KEMPrivateKey) []byte { - return s.group.SerializePrivate(sk) -} - -func (s dhkemScheme) Deserialize(enc []byte) (KEMPublicKey, error) { - return s.group.Deserialize(enc) -} - -func (s dhkemScheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { - return s.group.DeserializePrivate(enc) -} - -func (s *dhkemScheme) setEphemeralKeyPair(skE KEMPrivateKey) { - s.skE = skE -} - -func (s dhkemScheme) getEphemeralKeyPair(rand io.Reader) (KEMPrivateKey, KEMPublicKey, error) { - if s.skE != nil { - return s.skE, s.skE.PublicKey(), nil - } - - ikm := make([]byte, s.PrivateKeySize()) - rand.Read(ikm) - - return s.group.DeriveKeyPair(ikm) -} - -func (s dhkemScheme) extractAndExpand(dh []byte, kemContext []byte, Nsecret int) []byte { - suiteID := kemSuiteFromID(s.ID()) - eae_prk := s.group.internalKDF().LabeledExtract(nil, suiteID, "eae_prk", dh) - return s.group.internalKDF().LabeledExpand(eae_prk, suiteID, "shared_secret", kemContext, Nsecret) -} - -func (s dhkemScheme) Encap(rand io.Reader, pkR KEMPublicKey) ([]byte, []byte, error) { - skE, pkE, err := s.getEphemeralKeyPair(rand) - if err != nil { - return nil, nil, err - } - - dh, err := s.group.DH(skE, pkR) - if err != nil { - return nil, nil, err - } - - enc := s.group.Serialize(pkE) - pkRm := s.group.Serialize(pkR) - - kemContext := make([]byte, len(enc)+len(pkRm)) - copy(kemContext, enc) - copy(kemContext[len(enc):], pkRm) - - Nsecret := s.group.internalKDF().OutputSize() - sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) - - return sharedSecret, enc, nil -} - -func (s dhkemScheme) Decap(enc []byte, skR KEMPrivateKey) ([]byte, error) { - pkE, err := s.group.Deserialize(enc) - if err != nil { - return nil, err - } - - dh, err := s.group.DH(skR, pkE) - if err != nil { - return nil, err - } - - pkRm := s.group.Serialize(skR.PublicKey()) - - kemContext := make([]byte, len(enc)+len(pkRm)) - copy(kemContext, enc) - copy(kemContext[len(enc):], pkRm) - - Nsecret := s.group.internalKDF().OutputSize() - sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) - - return sharedSecret, nil -} - -func (s dhkemScheme) AuthEncap(rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey) ([]byte, []byte, error) { - skE, pkE, err := s.getEphemeralKeyPair(rand) - if err != nil { - return nil, nil, err - } - - dhER, err := s.group.DH(skE, pkR) - if err != nil { - return nil, nil, err - } - - dhIR, err := s.group.DH(skS, pkR) - if err != nil { - return nil, nil, err - } - - dh := append(dhER, dhIR...) - - enc := s.group.Serialize(pkE) - pkRm := s.group.Serialize(pkR) - pkSm := s.group.Serialize(skS.PublicKey()) - - Nenc := len(enc) - Npk := len(pkRm) - Nsk := len(pkSm) - kemContext := make([]byte, Nenc+Npk+Nsk) - copy(kemContext[:Nenc], enc) - copy(kemContext[Nenc:Nenc+Npk], pkRm) - copy(kemContext[Nenc+Npk:], pkSm) - - Nsecret := s.group.internalKDF().OutputSize() - sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) - - return sharedSecret, enc, nil -} - -func (s dhkemScheme) AuthDecap(enc []byte, skR KEMPrivateKey, pkS KEMPublicKey) ([]byte, error) { - pkE, err := s.group.Deserialize(enc) - if err != nil { - return nil, err - } - - dhER, err := s.group.DH(skR, pkE) - if err != nil { - return nil, err - } - - dhIR, err := s.group.DH(skR, pkS) - if err != nil { - return nil, err - } - - dh := append(dhER, dhIR...) - - pkRm := s.group.Serialize(skR.PublicKey()) - pkSm := s.group.Serialize(pkS) - - Nenc := len(enc) - Npk := len(pkRm) - Nsk := len(pkSm) - kemContext := make([]byte, Nenc+Npk+Nsk) - copy(kemContext[:Nenc], enc) - copy(kemContext[Nenc:Nenc+Npk], pkRm) - copy(kemContext[Nenc+Npk:], pkSm) - - Nsecret := s.group.internalKDF().OutputSize() - sharedSecret := s.extractAndExpand(dh, kemContext, Nsecret) - - return sharedSecret, nil -} - -func (s dhkemScheme) PublicKeySize() int { - return s.group.PublicKeySize() -} - -func (s dhkemScheme) PrivateKeySize() int { - return s.group.PrivateKeySize() -} - -//////////////////////// -// ECDH with NIST curves - -type ecdhPrivateKey struct { - curve elliptic.Curve - d []byte - x, y *big.Int -} - -func (priv ecdhPrivateKey) PublicKey() KEMPublicKey { - return &ecdhPublicKey{priv.curve, priv.x, priv.y} -} - -type ecdhPublicKey struct { - curve elliptic.Curve - x, y *big.Int -} - -type ecdhScheme struct { - curve elliptic.Curve - KDF KDFScheme - skE KEMPrivateKey -} - -func (s ecdhScheme) internalKDF() KDFScheme { - return s.KDF -} - -func (s ecdhScheme) ID() KEMID { - switch s.curve.Params().Name { - case "P-256": - return DHKEM_P256 - case "P-521": - return DHKEM_P521 - } - panic(fmt.Sprintf("Unsupported curve: %s", s.curve.Params().Name)) -} - -func (s ecdhScheme) privateKeyBitmask() uint8 { - switch s.curve.Params().Name { - case "P-256": - return 0xFF - case "P-521": - return 0x01 - } - panic(fmt.Sprintf("Unsupported curve: %s", s.curve.Params().Name)) -} - -func (s ecdhScheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { - suiteID := kemSuiteFromID(s.ID()) - dkp_prk := s.KDF.LabeledExtract(nil, suiteID, "dkp_prk", ikm) - counter := 0 - for { - if counter > 255 { - return nil, nil, fmt.Errorf("Error deriving key pair") - } - - bytes := s.KDF.LabeledExpand(dkp_prk, suiteID, "candidate", []byte{uint8(counter)}, s.PrivateKeySize()) - bytes[0] = bytes[0] & s.privateKeyBitmask() - - sk, err := s.DeserializePrivate(bytes) - if err == nil { - return sk, sk.PublicKey(), nil - } - - counter = counter + 1 - } - - //return nil, nil, fmt.Errorf("Error deriving key pair") -} - -func (s ecdhScheme) Serialize(pk KEMPublicKey) []byte { - if pk == nil { - return nil - } - raw := pk.(*ecdhPublicKey) - return elliptic.Marshal(raw.curve, raw.x, raw.y) -} - -func (s ecdhScheme) SerializePrivate(sk KEMPrivateKey) []byte { - if sk == nil { - return nil - } - - raw := sk.(*ecdhPrivateKey) - copied := make([]byte, len(raw.d)) - copy(copied, raw.d) - return copied -} - -func (s ecdhScheme) Deserialize(enc []byte) (KEMPublicKey, error) { - x, y := elliptic.Unmarshal(s.curve, enc) - if x == nil { - return nil, fmt.Errorf("Error deserializing public key") - } - - return &ecdhPublicKey{s.curve, x, y}, nil -} - -func (s ecdhScheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { - if enc == nil { - return nil, fmt.Errorf("Invalid input") - } - - x, y := s.curve.Params().ScalarBaseMult(enc) - return &ecdhPrivateKey{s.curve, enc, x, y}, nil -} - -func (s ecdhScheme) DH(priv KEMPrivateKey, pub KEMPublicKey) ([]byte, error) { - ecdhPriv, ok := priv.(*ecdhPrivateKey) - if !ok { - return nil, fmt.Errorf("Private key not suitable for ECDH") - } - - ecdhPub, ok := pub.(*ecdhPublicKey) - if !ok { - return nil, fmt.Errorf("Public key not suitable for ECDH") - } - - x, _ := s.curve.Params().ScalarMult(ecdhPub.x, ecdhPub.y, ecdhPriv.d) - xx := x.Bytes() - - size := (s.curve.Params().BitSize + 7) >> 3 - pad := make([]byte, size-len(xx)) - dh := append(pad, xx...) - - return dh, nil -} - -func (s ecdhScheme) PublicKeySize() int { - feSize := (s.curve.Params().BitSize + 7) >> 3 - return 1 + 2*feSize -} - -func (s ecdhScheme) PrivateKeySize() int { - return (s.curve.Params().BitSize + 7) >> 3 -} - -/////////////////// -// ECDH with X25519 - -type x25519PrivateKey struct { - val [32]byte -} - -func (priv x25519PrivateKey) PublicKey() KEMPublicKey { - pub := &x25519PublicKey{} - curve25519.ScalarBaseMult(&pub.val, &priv.val) - return pub -} - -type x25519PublicKey struct { - val [32]byte -} - -type x25519Scheme struct { - skE KEMPrivateKey -} - -func (s x25519Scheme) internalKDF() KDFScheme { - return hkdfScheme{hash: crypto.SHA256} -} - -func (s x25519Scheme) ID() KEMID { - return DHKEM_X25519 -} - -func (s x25519Scheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { - suiteID := kemSuiteFromID(s.ID()) - dkp_prk := s.internalKDF().LabeledExtract(nil, suiteID, "dkp_prk", ikm) - sk_bytes := s.internalKDF().LabeledExpand(dkp_prk, suiteID, "sk", nil, s.PrivateKeySize()) - sk, err := s.DeserializePrivate(sk_bytes) - if err != nil { - return nil, nil, err - } else { - return sk, sk.PublicKey(), nil - } -} - -func (s x25519Scheme) Serialize(pk KEMPublicKey) []byte { - if pk == nil { - return nil - } - raw := pk.(*x25519PublicKey) - return raw.val[:] -} - -func (s x25519Scheme) SerializePrivate(sk KEMPrivateKey) []byte { - if sk == nil { - return nil - } - raw := sk.(*x25519PrivateKey) - return raw.val[:] -} - -func (s x25519Scheme) Deserialize(enc []byte) (KEMPublicKey, error) { - if len(enc) != 32 { - return nil, fmt.Errorf("Error deserializing X25519 public key") - } - - pub := &x25519PublicKey{} - copy(pub.val[:], enc) - return pub, nil -} - -func (s x25519Scheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { - if enc == nil { - return nil, fmt.Errorf("Invalid input") - } - - if len(enc) != 32 { - return nil, fmt.Errorf("Error deserializing X25519 private key") - } - - key := &x25519PrivateKey{} - copy(key.val[:], enc[0:32]) - return key, nil -} - -func (s x25519Scheme) DH(priv KEMPrivateKey, pub KEMPublicKey) ([]byte, error) { - xPriv, ok := priv.(*x25519PrivateKey) - if !ok { - return nil, fmt.Errorf("Private key not suitable for X25519: %+v", priv) - } - - xPub, ok := pub.(*x25519PublicKey) - if !ok { - return nil, fmt.Errorf("Private key not suitable for X25519") - } - - sharedSecret, err := curve25519.X25519(xPriv.val[:], xPub.val[:]) - return sharedSecret, err -} - -func (s x25519Scheme) PublicKeySize() int { - return 32 -} - -func (s x25519Scheme) PrivateKeySize() int { - return 32 -} - -/////// -// SIKE - -type sikePublicKey struct { - field uint8 - pub *sidh.PublicKey -} - -type sikePrivateKey struct { - field uint8 - priv *sidh.PrivateKey - pub *sidh.PublicKey -} - -func (priv sikePrivateKey) PublicKey() KEMPublicKey { - return &sikePublicKey{priv.field, priv.pub} -} - -type sikeScheme struct { - field uint8 - KDF KDFScheme -} - -func (s sikeScheme) internalKDF() KDFScheme { - return s.KDF -} - -func (s sikeScheme) ID() KEMID { - switch s.field { - case sidh.Fp503: - return KEM_SIKE503 - case sidh.Fp751: - return KEM_SIKE751 - } - panic(fmt.Sprintf("Unsupported field: %d", s.field)) -} - -func (s sikeScheme) generateKeyPair(rand io.Reader) (KEMPrivateKey, KEMPublicKey, error) { - rawPriv := sidh.NewPrivateKey(s.field, sidh.KeyVariantSike) - err := rawPriv.Generate(rand) - if err != nil { - return nil, nil, err - } - - rawPub := sidh.NewPublicKey(s.field, sidh.KeyVariantSike) - rawPriv.GeneratePublicKey(rawPub) - - priv := &sikePrivateKey{s.field, rawPriv, rawPub} - return priv, priv.PublicKey(), nil -} - -func (s sikeScheme) DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) { - // Note: DeriveKeyPair is not specified for SIKE, so we just use IKM to - // seed a DRBG, and then re-use the other APIs for generating key pairs - // from randomness. - var seed int64 - ikmReader := bytes.NewReader(ikm) - if err := binary.Read(ikmReader, binary.BigEndian, &seed); err != nil { - return nil, nil, fmt.Errorf("Error deriving key pair") - } - - source := mrand.NewSource(seed) - return s.generateKeyPair(mrand.New(source)) -} - -func (s sikeScheme) Serialize(pk KEMPublicKey) []byte { - if pk == nil { - return nil - } - raw := pk.(*sikePublicKey) - out := make([]byte, raw.pub.Size()) - raw.pub.Export(out) - return out -} - -func (s sikeScheme) SerializePrivate(sk KEMPrivateKey) []byte { - panic("Not implemented") - //return nil -} - -func (s sikeScheme) Deserialize(enc []byte) (KEMPublicKey, error) { - rawPub := sidh.NewPublicKey(s.field, sidh.KeyVariantSike) - if len(enc) != rawPub.Size() { - return nil, fmt.Errorf("Invalid public key size: got %d, expected %d", len(enc), rawPub.Size()) - } - - err := rawPub.Import(enc) - if err != nil { - return nil, err - } - - return &sikePublicKey{s.field, rawPub}, nil -} - -func (s sikeScheme) DeserializePrivate(enc []byte) (KEMPrivateKey, error) { - panic("Not implemented") - //return nil, nil -} - -func (s sikeScheme) newKEM(rand io.Reader) (*sidh.KEM, error) { - switch s.field { - case sidh.Fp503: - return sidh.NewSike503(rand), nil - case sidh.Fp751: - return sidh.NewSike751(rand), nil - } - return nil, fmt.Errorf("Invalid field") -} - -func (s sikeScheme) Encap(rand io.Reader, pkR KEMPublicKey) ([]byte, []byte, error) { - raw := pkR.(*sikePublicKey) - - kem, err := s.newKEM(rand) - if err != nil { - return nil, nil, err - } - - enc := make([]byte, kem.CiphertextSize()) - sharedSecret := make([]byte, s.KDF.OutputSize()) - err = kem.Encapsulate(enc, sharedSecret, raw.pub) - if err != nil { - return nil, nil, err - } - - return sharedSecret, enc, nil -} - -type panicReader struct{} - -func (p panicReader) Read(unused []byte) (int, error) { - panic("Should not read") -} - -func (s sikeScheme) Decap(enc []byte, skR KEMPrivateKey) ([]byte, error) { - raw := skR.(*sikePrivateKey) - - kem, err := s.newKEM(panicReader{}) - if err != nil { - return nil, err - } - - sharedSecret := make([]byte, s.KDF.OutputSize()) - err = kem.Decapsulate(sharedSecret, raw.priv, raw.pub, enc) - if err != nil { - return nil, err - } - - return sharedSecret, nil -} - -func (s sikeScheme) PublicKeySize() int { - rawPub := sidh.NewPublicKey(s.field, sidh.KeyVariantSike) - return rawPub.Size() -} - -func (s sikeScheme) PrivateKeySize() int { - rawPriv := sidh.NewPrivateKey(s.field, sidh.KeyVariantSike) - err := rawPriv.Generate(rand.Reader) - if err != nil { - panic("PrivateKeySize failed") - } - - return rawPriv.Size() -} - -func (s sikeScheme) setEphemeralKeyPair(skE KEMPrivateKey) { - panic("SIKE cannot use a pre-set ephemeral key pair") -} - -////////// -// AES-GCM - -type aesgcmScheme struct { - keySize int -} - -func (s aesgcmScheme) ID() AEADID { - switch s.keySize { - case 16: - return AEAD_AESGCM128 - case 32: - return AEAD_AESGCM256 - } - panic(fmt.Sprintf("Unsupported key size: %d", s.keySize)) - -} - -func (s aesgcmScheme) New(key []byte) (cipher.AEAD, error) { - if len(key) != s.keySize { - return nil, fmt.Errorf("Incorrect key size %d != %d", len(key), s.keySize) - } - - block, err := aes.NewCipher(key) - if err != nil { - return nil, err - } - - return cipher.NewGCM(block) -} - -func (s aesgcmScheme) KeySize() int { - return s.keySize -} - -func (s aesgcmScheme) NonceSize() int { - return 12 -} - -////////// -// ChaCha20-Poly1305 - -type chachaPolyScheme struct { -} - -func (s chachaPolyScheme) ID() AEADID { - return AEAD_CHACHA20POLY1305 -} - -func (s chachaPolyScheme) New(key []byte) (cipher.AEAD, error) { - return chacha20poly1305.New(key) -} - -func (s chachaPolyScheme) KeySize() int { - return chacha20poly1305.KeySize -} - -func (s chachaPolyScheme) NonceSize() int { - return chacha20poly1305.NonceSize -} - -/////// -// HKDF - -type hkdfScheme struct { - hash crypto.Hash -} - -func (s hkdfScheme) ID() KDFID { - switch s.hash { - case crypto.SHA256: - return KDF_HKDF_SHA256 - case crypto.SHA384: - return KDF_HKDF_SHA384 - case crypto.SHA512: - return KDF_HKDF_SHA512 - } - panic(fmt.Sprintf("Unsupported hash: %d", s.hash)) -} - -func (s hkdfScheme) Hash(message []byte) []byte { - h := s.hash.New() - h.Write(message) - return h.Sum(nil) -} - -func (s hkdfScheme) Extract(salt, ikm []byte) []byte { - saltOrZero := salt - - // if [salt is] not provided, it is set to a string of HashLen zeros - if salt == nil { - saltOrZero = make([]byte, s.hash.Size()) - } - - h := hmac.New(s.hash.New, saltOrZero) - h.Write(ikm) - return h.Sum(nil) -} - -func (s hkdfScheme) Expand(prk, info []byte, outLen int) []byte { - out := []byte{} - T := []byte{} - i := byte(1) - for len(out) < outLen { - block := append(T, info...) - block = append(block, i) - - h := hmac.New(s.hash.New, prk) - h.Write(block) - - T = h.Sum(nil) - out = append(out, T...) - i++ - } - return out[:outLen] -} - -func (s hkdfScheme) LabeledExtract(salt []byte, suiteID []byte, label string, ikm []byte) []byte { - labeledIKM := append([]byte(rfcLabel+" "), suiteID...) - labeledIKM = append(labeledIKM, []byte(label)...) - labeledIKM = append(labeledIKM, ikm...) - return s.Extract(salt, labeledIKM) -} - -func (s hkdfScheme) LabeledExpand(prk []byte, suiteID []byte, label string, info []byte, L int) []byte { - if L > (1 << 16) { - panic("Expand length cannot be larger than 2^16") - } - - lengthBuffer := make([]byte, 2) - binary.BigEndian.PutUint16(lengthBuffer, uint16(L)) - labeledLength := append(lengthBuffer, []byte(rfcLabel+" ")...) - labeledInfo := append(labeledLength, suiteID...) - labeledInfo = append(labeledInfo, []byte(label)...) - labeledInfo = append(labeledInfo, info...) - - return s.Expand(prk, labeledInfo, L) -} - -func (s hkdfScheme) OutputSize() int { - return s.hash.Size() -} - -/////////////////////////// -// Pre-defined KEM identifiers - -type KEMID uint16 - -const ( - DHKEM_P256 KEMID = 0x0010 - DHKEM_P521 KEMID = 0x0012 - DHKEM_X25519 KEMID = 0x0020 - KEM_SIKE503 KEMID = 0xFFFE - KEM_SIKE751 KEMID = 0xFFFF -) - -var kems = map[KEMID]KEMScheme{ - DHKEM_X25519: &dhkemScheme{group: x25519Scheme{}}, - DHKEM_P256: &dhkemScheme{group: ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}}, - DHKEM_P521: &dhkemScheme{group: ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA512}}}, - KEM_SIKE503: &sikeScheme{field: sidh.Fp503, KDF: hkdfScheme{hash: crypto.SHA512}}, - KEM_SIKE751: &sikeScheme{field: sidh.Fp751, KDF: hkdfScheme{hash: crypto.SHA512}}, -} - -func newKEMScheme(kemID KEMID) (KEMScheme, bool) { - switch kemID { - case DHKEM_X25519: - return &dhkemScheme{group: x25519Scheme{}}, true - case DHKEM_P256: - return &dhkemScheme{group: ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}}, true - case DHKEM_P521: - return &dhkemScheme{group: ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA512}}}, true - case KEM_SIKE503: - return &sikeScheme{field: sidh.Fp503, KDF: hkdfScheme{hash: crypto.SHA512}}, true - case KEM_SIKE751: - return &sikeScheme{field: sidh.Fp751, KDF: hkdfScheme{hash: crypto.SHA512}}, true - default: - return nil, false - } -} - -/////////////////////////// -// Pre-defined KDF identifiers - -type KDFID uint16 - -const ( - KDF_HKDF_SHA256 KDFID = 0x0001 - KDF_HKDF_SHA384 KDFID = 0x0002 - KDF_HKDF_SHA512 KDFID = 0x0003 -) - -var kdfs = map[KDFID]KDFScheme{ - KDF_HKDF_SHA256: hkdfScheme{hash: crypto.SHA256}, - KDF_HKDF_SHA384: hkdfScheme{hash: crypto.SHA384}, - KDF_HKDF_SHA512: hkdfScheme{hash: crypto.SHA512}, -} - -/////////////////////////// -// Pre-defined AEAD identifiers - -type AEADID uint16 - -const ( - AEAD_AESGCM128 AEADID = 0x0001 - AEAD_AESGCM256 AEADID = 0x0002 - AEAD_CHACHA20POLY1305 AEADID = 0x0003 -) - -var aeads = map[AEADID]AEADScheme{ - AEAD_AESGCM128: aesgcmScheme{keySize: 16}, - AEAD_AESGCM256: aesgcmScheme{keySize: 32}, - AEAD_CHACHA20POLY1305: chachaPolyScheme{}, -} - -func AssembleCipherSuite(kemID KEMID, kdfID KDFID, aeadID AEADID) (CipherSuite, error) { - kem, ok := newKEMScheme(kemID) - if !ok { - return CipherSuite{}, fmt.Errorf("Unknown KEM id") - } - - kdf, ok := kdfs[kdfID] - if !ok { - return CipherSuite{}, fmt.Errorf("Unknown KDF id") - } - - aead, ok := aeads[aeadID] - if !ok { - return CipherSuite{}, fmt.Errorf("Unknown AEAD id") - } - - return CipherSuite{ - KEM: kem, - KDF: kdf, - AEAD: aead, - }, nil -} - -////////// -// Helpers - -func kemSuiteFromID(id KEMID) []byte { - idBuffer := make([]byte, 2) - binary.BigEndian.PutUint16(idBuffer, uint16(id)) - return append([]byte("KEM"), idBuffer...) -} diff --git a/src/crypto/tls/internal/hpke/crypto_test.go b/src/crypto/tls/internal/hpke/crypto_test.go deleted file mode 100644 index a53b05d53cf..00000000000 --- a/src/crypto/tls/internal/hpke/crypto_test.go +++ /dev/null @@ -1,141 +0,0 @@ -package hpke - -import ( - "bytes" - "circl/dh/sidh" - "crypto" - "crypto/elliptic" - "crypto/rand" - "testing" -) - -func randomBytes(size int) []byte { - out := make([]byte, size) - rand.Read(out) - return out -} - -func TestKEMSchemes(t *testing.T) { - schemes := []KEMScheme{ - &dhkemScheme{group: x25519Scheme{}}, - &dhkemScheme{group: ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}}, - &dhkemScheme{group: ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA256}}}, - &sikeScheme{field: sidh.Fp503, KDF: hkdfScheme{hash: crypto.SHA512}}, - &sikeScheme{field: sidh.Fp751, KDF: hkdfScheme{hash: crypto.SHA512}}, - } - - for i, s := range schemes { - ikm := make([]byte, s.PrivateKeySize()) - rand.Reader.Read(ikm) - - skR, pkR, err := s.DeriveKeyPair(ikm) - if err != nil { - t.Fatalf("[%d] Error generating KEM key pair: %v", i, err) - } - - sharedSecretI, enc, err := s.Encap(rand.Reader, pkR) - if err != nil { - t.Fatalf("[%d] Error in KEM encapsulation: %v", i, err) - } - - sharedSecretR, err := s.Decap(enc, skR) - if err != nil { - t.Fatalf("[%d] Error in KEM decapsulation: %v", i, err) - } - - if !bytes.Equal(sharedSecretI, sharedSecretR) { - t.Fatalf("[%d] Asymmetric KEM results [%x] != [%x]", i, sharedSecretI, sharedSecretR) - } - } -} - -func TestDHSchemes(t *testing.T) { - schemes := []dhScheme{ - ecdhScheme{curve: elliptic.P256(), KDF: hkdfScheme{hash: crypto.SHA256}}, - ecdhScheme{curve: elliptic.P521(), KDF: hkdfScheme{hash: crypto.SHA512}}, - x25519Scheme{}, - } - - for i, s := range schemes { - ikm := make([]byte, s.PrivateKeySize()) - rand.Reader.Read(ikm) - skA, pkA, err := s.DeriveKeyPair(ikm) - if err != nil { - t.Fatalf("[%d] Error generating DH key pair: %v", i, err) - } - - rand.Reader.Read(ikm) - skB, pkB, err := s.DeriveKeyPair(ikm) - if err != nil { - t.Fatalf("[%d] Error generating DH key pair: %v", i, err) - } - - enc := s.Serialize(pkA) - _, err = s.Deserialize(enc) - if err != nil { - t.Fatalf("[%d] Error parsing DH public key: %v", i, err) - } - - sharedSecretAB, err := s.DH(skA, pkB) - if err != nil { - t.Fatalf("[%d] Error performing DH operation: %v", i, err) - } - - sharedSecretBA, err := s.DH(skB, pkA) - if err != nil { - t.Fatalf("[%d] Error performing DH operation: %v", i, err) - } - - if !bytes.Equal(sharedSecretAB, sharedSecretBA) { - t.Fatalf("[%d] Asymmetric DH results [%x] != [%x]", i, sharedSecretAB, sharedSecretBA) - } - - if len(s.Serialize(pkA)) != len(s.Serialize(pkB)) { - t.Fatalf("[%d] Non-constant public key size [%x] != [%x]", i, len(s.Serialize(pkA)), len(s.Serialize(pkB))) - } - } -} - -func TestAEADSchemes(t *testing.T) { - schemes := []AEADScheme{ - aesgcmScheme{keySize: 16}, - aesgcmScheme{keySize: 32}, - chachaPolyScheme{}, - } - - for i, s := range schemes { - key := randomBytes(int(s.KeySize())) - nonce := randomBytes(int(s.NonceSize())) - pt := randomBytes(1024) - aad := randomBytes(1024) - - aead, err := s.New(key) - if err != nil { - t.Fatalf("[%d] Error instantiating AEAD: %v", i, err) - } - - ctWithAAD := aead.Seal(nil, nonce, pt, aad) - ptWithAAD, err := aead.Open(nil, nonce, ctWithAAD, aad) - if err != nil { - t.Fatalf("[%d] Error decrypting with AAD: %v", i, err) - } - - if !bytes.Equal(ptWithAAD, pt) { - t.Fatalf("[%d] Incorrect decryption [%x] != [%x]", i, ptWithAAD, pt) - } - - ctWithoutAAD := aead.Seal(nil, nonce, pt, nil) - ptWithoutAAD, err := aead.Open(nil, nonce, ctWithoutAAD, nil) - if err != nil { - t.Fatalf("[%d] Error decrypting without AAD: %v", i, err) - } - - if !bytes.Equal(ptWithoutAAD, pt) { - t.Fatalf("[%d] Incorrect decryption [%x] != [%x]", i, ptWithoutAAD, pt) - } - - if bytes.Equal(ctWithAAD, ctWithoutAAD) { - t.Fatalf("[%d] AAD not included in ciphertext", i) - } - } -} diff --git a/src/crypto/tls/internal/hpke/hpke.go b/src/crypto/tls/internal/hpke/hpke.go deleted file mode 100644 index 428438c1e06..00000000000 --- a/src/crypto/tls/internal/hpke/hpke.go +++ /dev/null @@ -1,537 +0,0 @@ -package hpke - -import ( - "bytes" - "crypto/cipher" - "encoding/binary" - "fmt" - "io" - - "crypto/tls/internal/syntax" -) - -const ( - debug = true - rfcLabel = "HPKE-05" -) - -type KEMPrivateKey interface { - PublicKey() KEMPublicKey -} - -type KEMPublicKey interface{} - -type KEMScheme interface { - ID() KEMID - DeriveKeyPair(ikm []byte) (KEMPrivateKey, KEMPublicKey, error) - Serialize(pk KEMPublicKey) []byte - Deserialize(enc []byte) (KEMPublicKey, error) - Encap(rand io.Reader, pkR KEMPublicKey) ([]byte, []byte, error) - Decap(enc []byte, skR KEMPrivateKey) ([]byte, error) - PublicKeySize() int - PrivateKeySize() int - - SerializePrivate(sk KEMPrivateKey) []byte - DeserializePrivate(enc []byte) (KEMPrivateKey, error) - - setEphemeralKeyPair(sk KEMPrivateKey) -} - -type AuthKEMScheme interface { - KEMScheme - AuthEncap(rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey) ([]byte, []byte, error) - AuthDecap(enc []byte, skR KEMPrivateKey, pkS KEMPublicKey) ([]byte, error) -} - -type KDFScheme interface { - ID() KDFID - Hash(message []byte) []byte - Extract(salt, ikm []byte) []byte - Expand(prk, info []byte, L int) []byte - LabeledExtract(salt []byte, suiteID []byte, label string, ikm []byte) []byte - LabeledExpand(prk []byte, suiteID []byte, label string, info []byte, L int) []byte - OutputSize() int -} - -type AEADScheme interface { - ID() AEADID - New(key []byte) (cipher.AEAD, error) - KeySize() int - NonceSize() int -} - -type CipherSuite struct { - KEM KEMScheme - KDF KDFScheme - AEAD AEADScheme -} - -func (suite CipherSuite) ID() []byte { - suiteID := make([]byte, 6) - binary.BigEndian.PutUint16(suiteID, uint16(suite.KEM.ID())) - binary.BigEndian.PutUint16(suiteID[2:], uint16(suite.KDF.ID())) - binary.BigEndian.PutUint16(suiteID[4:], uint16(suite.AEAD.ID())) - return append([]byte("HPKE"), suiteID...) -} - -type Mode uint8 - -const ( - modeBase Mode = 0x00 - modePSK Mode = 0x01 - modeAuth Mode = 0x02 - modeAuthPSK Mode = 0x03 -) - -/////// -// Core - -func defaultPSK(suite CipherSuite) []byte { - return []byte{} -} - -func defaultPSKID(suite CipherSuite) []byte { - return []byte{} -} - -func verifyPSKInputs(suite CipherSuite, mode Mode, psk, pskID []byte) error { - defaultPSK := defaultPSK(suite) - defaultPSKID := defaultPSKID(suite) - pskMode := map[Mode]bool{modePSK: true, modeAuthPSK: true} - - gotPSK := !bytes.Equal(psk, defaultPSK) - gotPSKID := !bytes.Equal(pskID, defaultPSKID) - - switch { - case gotPSK != gotPSKID: - return fmt.Errorf("Inconsistent PSK inputs [%d] [%v] [%v]", mode, gotPSK, gotPSKID) - case gotPSK && !pskMode[mode]: - return fmt.Errorf("PSK input provided when not needed [%d]", mode) - case !gotPSK && pskMode[mode]: - return fmt.Errorf("Missing required PSK input [%d]", mode) - } - - return nil -} - -type hpkeContext struct { - mode Mode - pskIDHash []byte `tls:"head=none"` - infoHash []byte `tls:"head=none"` -} - -type contextParameters struct { - suite CipherSuite - keyScheduleContext []byte - secret []byte -} - -func (cp contextParameters) aeadKey() []byte { - return cp.suite.KDF.LabeledExpand(cp.secret, cp.suite.ID(), "key", cp.keyScheduleContext, cp.suite.AEAD.KeySize()) -} - -func (cp contextParameters) exporterSecret() []byte { - return cp.suite.KDF.LabeledExpand(cp.secret, cp.suite.ID(), "exp", cp.keyScheduleContext, cp.suite.KDF.OutputSize()) -} - -func (cp contextParameters) aeadNonce() []byte { - return cp.suite.KDF.LabeledExpand(cp.secret, cp.suite.ID(), "nonce", cp.keyScheduleContext, cp.suite.AEAD.NonceSize()) -} - -type setupParameters struct { - sharedSecret []byte - enc []byte -} - -func keySchedule(suite CipherSuite, mode Mode, sharedSecret, info, psk, pskID []byte) (contextParameters, error) { - err := verifyPSKInputs(suite, mode, psk, pskID) - if err != nil { - return contextParameters{}, err - } - - suiteID := suite.ID() - pskIDHash := suite.KDF.LabeledExtract(nil, suiteID, "psk_id_hash", pskID) - infoHash := suite.KDF.LabeledExtract(nil, suiteID, "info_hash", info) - - contextStruct := hpkeContext{mode, pskIDHash, infoHash} - keyScheduleContext, err := syntax.Marshal(contextStruct) - if err != nil { - return contextParameters{}, err - } - - pskHash := suite.KDF.LabeledExtract(nil, suiteID, "psk_hash", psk) - secret := suite.KDF.LabeledExtract(pskHash, suiteID, "secret", sharedSecret) - - params := contextParameters{ - suite: suite, - keyScheduleContext: keyScheduleContext, - secret: secret, - } - - return params, nil -} - -// contextRole specifies the role of a party in possession of a Context: if -// equal to `contextRoleSender`, then the party is the sender; if equal to -// `contextRoleReceiver`, then the party is the receiver. -type contextRole uint8 - -const ( - contextRoleSender contextRole = 0x00 - contextRoleReceiver contextRole = 0x01 -) - -// context represents an HPKE context encoded on the wire. -type context struct { - // Marshaled fields - Role contextRole - KEMID KEMID - KDFID KDFID - AEADID AEADID - ExporterSecret []byte `tls:"head=1"` - Key []byte `tls:"head=1"` - Nonce []byte `tls:"head=1"` - Seq uint64 - - // Operational structures - aead cipher.AEAD `tls:"omit"` - suite CipherSuite `tls:"omit"` - - // Historical record - nonces [][]byte `tls:"omit"` - setupParams setupParameters `tls:"omit"` - contextParams contextParameters `tls:"omit"` -} - -func newContext(role contextRole, suite CipherSuite, setupParams setupParameters, contextParams contextParameters) (context, error) { - key := contextParams.aeadKey() - nonce := contextParams.aeadNonce() - exporterSecret := contextParams.exporterSecret() - - aead, err := suite.AEAD.New(key) - if err != nil { - return context{}, err - } - - ctx := context{ - Role: role, - KEMID: suite.KEM.ID(), - KDFID: suite.KDF.ID(), - AEADID: suite.AEAD.ID(), - ExporterSecret: exporterSecret, - Key: key, - Nonce: nonce, - Seq: 0, - aead: aead, - suite: suite, - setupParams: setupParams, - contextParams: contextParams, - } - - return ctx, nil -} - -func unmarshalContext(role contextRole, opaque []byte) (context, error) { - var ctx context - var err error - if _, err = syntax.Unmarshal(opaque, &ctx); err != nil { - return context{}, err - } - - if ctx.Role != role { - return context{}, fmt.Errorf("role mismatch") - } - - ctx.suite, err = AssembleCipherSuite(ctx.KEMID, ctx.KDFID, ctx.AEADID) - if err != nil { - return context{}, err - } - - // Construct AEAD and validate the key length. - ctx.aead, err = ctx.suite.AEAD.New(ctx.Key) - if err != nil { - return context{}, err - } - - // Validate the nonce length. - if len(ctx.Nonce) != ctx.aead.NonceSize() { - return context{}, fmt.Errorf("nonce length: got %d; want %d", len(ctx.Nonce), ctx.aead.NonceSize()) - } - - // Validate the exporter secret length. - if len(ctx.ExporterSecret) != ctx.suite.KDF.OutputSize() { - return context{}, fmt.Errorf("exporter secret length: got %d; want %d", len(ctx.ExporterSecret), ctx.suite.KDF.OutputSize()) - } - - return ctx, nil -} - -func (ctx *context) computeNonce() []byte { - buf := make([]byte, 8) - binary.BigEndian.PutUint64(buf, ctx.Seq) - - Nn := len(ctx.Nonce) - nonce := make([]byte, Nn) - copy(nonce, ctx.Nonce) - for i := range buf { - nonce[Nn-8+i] ^= buf[i] - } - - ctx.nonces = append(ctx.nonces, nonce) - return nonce -} - -func (ctx *context) incrementSeq() { - ctx.Seq += 1 - if ctx.Seq == 0 { - panic("sequence number wrapped") - } -} - -func (ctx *context) Export(context []byte, L int) []byte { - return ctx.suite.KDF.LabeledExpand(ctx.ExporterSecret, ctx.suite.ID(), "sec", context, L) -} - -func (ctx *context) Marshal() ([]byte, error) { - return syntax.Marshal(ctx) -} - -type EncryptContext struct { - context -} - -func newEncryptContext(suite CipherSuite, setupParams setupParameters, contextParams contextParameters) (*EncryptContext, error) { - ctx, err := newContext(contextRoleSender, suite, setupParams, contextParams) - if err != nil { - return nil, err - } - - return &EncryptContext{ctx}, nil -} - -func (ctx *EncryptContext) Seal(aad, pt []byte) []byte { - ct := ctx.aead.Seal(nil, ctx.computeNonce(), pt, aad) - ctx.incrementSeq() - return ct -} - -func UnmarshalEncryptContext(opaque []byte) (*EncryptContext, error) { - ctx, err := unmarshalContext(contextRoleSender, opaque) - if err != nil { - return nil, err - } - - return &EncryptContext{ctx}, nil -} - -type DecryptContext struct { - context -} - -func newDecryptContext(suite CipherSuite, setupParams setupParameters, contextParams contextParameters) (*DecryptContext, error) { - ctx, err := newContext(contextRoleReceiver, suite, setupParams, contextParams) - if err != nil { - return nil, err - } - - return &DecryptContext{ctx}, nil -} - -func (ctx *DecryptContext) Open(aad, ct []byte) ([]byte, error) { - pt, err := ctx.aead.Open(nil, ctx.computeNonce(), ct, aad) - if err != nil { - return nil, err - } - - ctx.incrementSeq() - return pt, nil -} - -func UnmarshalDecryptContext(opaque []byte) (*DecryptContext, error) { - ctx, err := unmarshalContext(contextRoleReceiver, opaque) - if err != nil { - return nil, err - } - - return &DecryptContext{ctx}, nil -} - -/////// -// Base - -func SetupBaseS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, info []byte) ([]byte, *EncryptContext, error) { - // sharedSecret, enc = Encap(pkR) - sharedSecret, enc, err := suite.KEM.Encap(rand, pkR) - if err != nil { - return nil, nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modeBase, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) - if err != nil { - return nil, nil, err - } - - ctx, err := newEncryptContext(suite, setupParams, params) - return enc, ctx, err -} - -func SetupBaseR(suite CipherSuite, skR KEMPrivateKey, enc, info []byte) (*DecryptContext, error) { - // sharedSecret = Decap(enc, skR) - sharedSecret, err := suite.KEM.Decap(enc, skR) - if err != nil { - return nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modeBase, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) - if err != nil { - return nil, err - } - - return newDecryptContext(suite, setupParams, params) -} - -////// -// PSK - -func SetupPSKS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, psk, pskID, info []byte) ([]byte, *EncryptContext, error) { - // sharedSecret, enc = Encap(pkR) - sharedSecret, enc, err := suite.KEM.Encap(rand, pkR) - if err != nil { - return nil, nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modePSK, sharedSecret, info, psk, pskID) - if err != nil { - return nil, nil, err - } - - ctx, err := newEncryptContext(suite, setupParams, params) - return enc, ctx, err -} - -func SetupPSKR(suite CipherSuite, skR KEMPrivateKey, enc, psk, pskID, info []byte) (*DecryptContext, error) { - // sharedSecret = Decap(enc, skR) - sharedSecret, err := suite.KEM.Decap(enc, skR) - if err != nil { - return nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modePSK, sharedSecret, info, psk, pskID) - if err != nil { - return nil, err - } - - return newDecryptContext(suite, setupParams, params) -} - -/////// -// Auth - -func SetupAuthS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey, info []byte) ([]byte, *EncryptContext, error) { - // sharedSecret, enc = AuthEncap(pkR, skS) - auth := suite.KEM.(AuthKEMScheme) - sharedSecret, enc, err := auth.AuthEncap(rand, pkR, skS) - if err != nil { - return nil, nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modeAuth, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) - if err != nil { - return nil, nil, err - } - - ctx, err := newEncryptContext(suite, setupParams, params) - return enc, ctx, err -} - -func SetupAuthR(suite CipherSuite, skR KEMPrivateKey, pkS KEMPublicKey, enc, info []byte) (*DecryptContext, error) { - // sharedSecret = AuthDecap(enc, skR, pkS) - auth := suite.KEM.(AuthKEMScheme) - sharedSecret, err := auth.AuthDecap(enc, skR, pkS) - if err != nil { - return nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modeAuth, sharedSecret, info, defaultPSK(suite), defaultPSKID(suite)) - if err != nil { - return nil, err - } - - return newDecryptContext(suite, setupParams, params) -} - -///////////// -// PSK + Auth - -func SetupAuthPSKS(suite CipherSuite, rand io.Reader, pkR KEMPublicKey, skS KEMPrivateKey, psk, pskID, info []byte) ([]byte, *EncryptContext, error) { - // sharedSecret, enc = AuthEncap(pkR, skS) - auth := suite.KEM.(AuthKEMScheme) - sharedSecret, enc, err := auth.AuthEncap(rand, pkR, skS) - if err != nil { - return nil, nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modeAuthPSK, sharedSecret, info, psk, pskID) - if err != nil { - return nil, nil, err - } - - ctx, err := newEncryptContext(suite, setupParams, params) - return enc, ctx, err -} - -func SetupAuthPSKR(suite CipherSuite, skR KEMPrivateKey, pkS KEMPublicKey, enc, psk, pskID, info []byte) (*DecryptContext, error) { - // sharedSecret = AuthDecap(enc, skR, pkS) - auth := suite.KEM.(AuthKEMScheme) - sharedSecret, err := auth.AuthDecap(enc, skR, pkS) - if err != nil { - return nil, err - } - - setupParams := setupParameters{ - sharedSecret: sharedSecret, - enc: enc, - } - - params, err := keySchedule(suite, modeAuthPSK, sharedSecret, info, psk, pskID) - if err != nil { - return nil, err - } - - return newDecryptContext(suite, setupParams, params) -} diff --git a/src/crypto/tls/internal/hpke/hpke_test.go b/src/crypto/tls/internal/hpke/hpke_test.go deleted file mode 100644 index 357823ec311..00000000000 --- a/src/crypto/tls/internal/hpke/hpke_test.go +++ /dev/null @@ -1,777 +0,0 @@ -package hpke - -import ( - "bytes" - "crypto/rand" - "encoding/hex" - "encoding/json" - "fmt" - "io/ioutil" - "os" - "testing" -) - -var ( - fixedPSK = []byte{0x5d, 0xb3, 0xb8, 0x0a, 0x81, 0xcb, 0x63, 0xca, 0x59, 0x47, 0x0c, 0x83, 0x41, 0x4e, 0xf7, 0x0a} - fixedPSKID = []byte("Ennyn Durin aran Moria") - original = []byte("Beauty is truth, truth beauty") - aad = []byte("that is all // Ye know on earth, and all ye need to know") - info = []byte("Ode on a Grecian Urn") - rtts = 10 - exportContext = []byte("test export") - exportLength = 32 -) - -const ( - outputTestVectorEnvironmentKey = "HPKE_TEST_VECTORS_OUT" - inputTestVectorEnvironmentKey = "HPKE_TEST_VECTORS_IN" - testVectorEncryptionCount = 10 - testVectorExportCount = 5 - testVectorExportLength = 32 -) - -/////// -// Infallible Serialize / Deserialize -func fatalOnError(t *testing.T, err error, msg string) { - realMsg := fmt.Sprintf("%s: %v", msg, err) - if err != nil { - if t != nil { - t.Fatalf(realMsg) - } else { - panic(realMsg) - } - } -} - -func mustUnhex(t *testing.T, h string) []byte { - out, err := hex.DecodeString(h) - fatalOnError(t, err, "Unhex failed") - return out -} - -func mustHex(d []byte) string { - return hex.EncodeToString(d) -} - -func mustDeserializePriv(t *testing.T, suite CipherSuite, h string, required bool) KEMPrivateKey { - skm := mustUnhex(t, h) - sk, err := suite.KEM.DeserializePrivate(skm) - if required { - fatalOnError(t, err, "DeserializePrivate failed") - } - return sk -} - -func mustSerializePriv(suite CipherSuite, priv KEMPrivateKey) string { - return mustHex(suite.KEM.SerializePrivate(priv)) -} - -func mustDeserializePub(t *testing.T, suite CipherSuite, h string, required bool) KEMPublicKey { - pkm := mustUnhex(t, h) - pk, err := suite.KEM.Deserialize(pkm) - if required { - fatalOnError(t, err, "Deserialize failed") - } - return pk -} - -func mustSerializePub(suite CipherSuite, pub KEMPublicKey) string { - return mustHex(suite.KEM.Serialize(pub)) -} - -func mustGenerateKeyPair(t *testing.T, suite CipherSuite) (KEMPrivateKey, KEMPublicKey, []byte) { - ikm := make([]byte, suite.KEM.PrivateKeySize()) - rand.Reader.Read(ikm) - sk, pk, err := suite.KEM.DeriveKeyPair(ikm) - fatalOnError(t, err, "Error generating DH key pair") - return sk, pk, ikm -} - -/////// -// Assertions -func assert(t *testing.T, suite CipherSuite, msg string, test bool) { - if !test { - t.Fatalf("[%04x, %04x, %04x] %s", suite.KEM.ID(), suite.KDF.ID(), suite.AEAD.ID(), msg) - } -} - -func assertNotError(t *testing.T, suite CipherSuite, msg string, err error) { - realMsg := fmt.Sprintf("%s: %v", msg, err) - assert(t, suite, realMsg, err == nil) -} - -func assertBytesEqual(t *testing.T, suite CipherSuite, msg string, lhs, rhs []byte) { - realMsg := fmt.Sprintf("%s: [%x] != [%x]", msg, lhs, rhs) - assert(t, suite, realMsg, bytes.Equal(lhs, rhs)) -} - -func assertCipherContextEqual(t *testing.T, suite CipherSuite, msg string, lhs, rhs context) { - // Verify the serialized fields match. - assert(t, suite, fmt.Sprintf("%s: %s", msg, "role"), lhs.Role == rhs.Role) - assert(t, suite, fmt.Sprintf("%s: %s", msg, "KEM id"), lhs.KEMID == rhs.KEMID) - assert(t, suite, fmt.Sprintf("%s: %s", msg, "KDF id"), lhs.KDFID == rhs.KDFID) - assert(t, suite, fmt.Sprintf("%s: %s", msg, "AEAD id"), lhs.AEADID == rhs.AEADID) - assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "exporter secret"), lhs.ExporterSecret, rhs.ExporterSecret) - assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "key"), lhs.Key, rhs.Key) - assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "nonce"), lhs.Nonce, rhs.Nonce) - assert(t, suite, fmt.Sprintf("%s: %s", msg, "sequence number"), lhs.Seq == rhs.Seq) - - // Verify that the internal AEAD object uses the same algorithm and is keyed - // with the same key. - var got, want []byte - lhs.aead.Seal(got, lhs.Nonce, nil, nil) - rhs.aead.Seal(want, rhs.Nonce, nil, nil) - assertBytesEqual(t, suite, fmt.Sprintf("%s: %s", msg, "internal AEAD representation"), got, want) - - // Verify that the internal representation of the cipher suite matches. - assert(t, suite, fmt.Sprintf("%s: %s", msg, "KEM scheme representation"), lhs.suite.KEM.ID() == rhs.suite.KEM.ID()) - assert(t, suite, fmt.Sprintf("%s: %s", msg, "KDF scheme representation"), lhs.suite.KDF.ID() == rhs.suite.KDF.ID()) - assert(t, suite, fmt.Sprintf("%s: %s", msg, "AEAD scheme representation"), lhs.suite.AEAD.ID() == rhs.suite.AEAD.ID()) -} - -/////// -// Symmetric encryption test vector structure -type encryptionTestVector struct { - plaintext []byte - aad []byte - nonce []byte - ciphertext []byte -} - -func (etv encryptionTestVector) MarshalJSON() ([]byte, error) { - return json.Marshal(map[string]string{ - "plaintext": mustHex(etv.plaintext), - "aad": mustHex(etv.aad), - "nonce": mustHex(etv.nonce), - "ciphertext": mustHex(etv.ciphertext), - }) -} - -func (etv *encryptionTestVector) UnmarshalJSON(data []byte) error { - raw := map[string]string{} - err := json.Unmarshal(data, &raw) - if err != nil { - return err - } - - etv.plaintext = mustUnhex(nil, raw["plaintext"]) - etv.aad = mustUnhex(nil, raw["aad"]) - etv.nonce = mustUnhex(nil, raw["nonce"]) - etv.ciphertext = mustUnhex(nil, raw["ciphertext"]) - return nil -} - -/////// -// Exporter test vector structures -type rawExporterTestVector struct { - ExportContext string `json:"exportContext"` - ExportLength int `json:"exportLength"` - ExportValue string `json:"exportValue"` -} - -type exporterTestVector struct { - exportContext []byte - exportLength int - exportValue []byte -} - -func (etv exporterTestVector) MarshalJSON() ([]byte, error) { - return json.Marshal(rawExporterTestVector{ - ExportContext: mustHex(etv.exportContext), - ExportLength: etv.exportLength, - ExportValue: mustHex(etv.exportValue), - }) -} - -func (etv *exporterTestVector) UnmarshalJSON(data []byte) error { - raw := rawExporterTestVector{} - err := json.Unmarshal(data, &raw) - if err != nil { - return err - } - - etv.exportContext = mustUnhex(nil, raw.ExportContext) - etv.exportLength = raw.ExportLength - etv.exportValue = mustUnhex(nil, raw.ExportValue) - return nil -} - -/////// -// HPKE test vector structures -type rawTestVector struct { - // Parameters - Mode Mode `json:"mode"` - KEMID KEMID `json:"kem_id"` - KDFID KDFID `json:"kdf_id"` - AEADID AEADID `json:"aead_id"` - Info string `json:"info"` - - // Private keys - SeedR string `json:"seedR"` - SeedS string `json:"seedS,omitempty"` - SeedE string `json:"seedE"` - SKR string `json:"skRm"` - SKS string `json:"skSm,omitempty"` - SKE string `json:"skEm"` - PSK string `json:"psk,omitempty"` - PSKID string `json:"psk_id,omitempty"` - - // Public keys - PKR string `json:"pkRm"` - PKS string `json:"pkSm,omitempty"` - PKE string `json:"pkEm"` - - // Key schedule inputs and computations - Enc string `json:"enc"` - SharedSecret string `json:"shared_secret"` - KeyScheduleContext string `json:"key_schedule_context"` - Secret string `json:"secret"` - Key string `json:"key"` - Nonce string `json:"nonce"` - ExporterSecret string `json:"exporter_secret"` - - Encryptions []encryptionTestVector `json:"encryptions"` - Exports []exporterTestVector `json:"exports"` -} - -type testVector struct { - t *testing.T - suite CipherSuite - - // Parameters - mode Mode - kem_id KEMID - kdf_id KDFID - aead_id AEADID - info []byte - - // Private keys - skR KEMPrivateKey - skS KEMPrivateKey - skE KEMPrivateKey - seedR []byte - seedS []byte - seedE []byte - psk []byte - psk_id []byte - - // Public keys - pkR KEMPublicKey - pkS KEMPublicKey - pkE KEMPublicKey - - // Key schedule inputs and computations - enc []byte - sharedSecret []byte - keyScheduleContext []byte - secret []byte - key []byte - nonce []byte - exporterSecret []byte - - encryptions []encryptionTestVector - exports []exporterTestVector -} - -func (tv testVector) MarshalJSON() ([]byte, error) { - return json.Marshal(rawTestVector{ - Mode: tv.mode, - KEMID: tv.kem_id, - KDFID: tv.kdf_id, - AEADID: tv.aead_id, - Info: mustHex(tv.info), - - SeedR: mustHex(tv.seedR), - SeedS: mustHex(tv.seedS), - SeedE: mustHex(tv.seedE), - SKR: mustSerializePriv(tv.suite, tv.skR), - SKS: mustSerializePriv(tv.suite, tv.skS), - SKE: mustSerializePriv(tv.suite, tv.skE), - PSK: mustHex(tv.psk), - PSKID: mustHex(tv.psk_id), - - PKR: mustSerializePub(tv.suite, tv.pkR), - PKS: mustSerializePub(tv.suite, tv.pkS), - PKE: mustSerializePub(tv.suite, tv.pkE), - - Enc: mustHex(tv.enc), - SharedSecret: mustHex(tv.sharedSecret), - KeyScheduleContext: mustHex(tv.keyScheduleContext), - Secret: mustHex(tv.secret), - Key: mustHex(tv.key), - Nonce: mustHex(tv.nonce), - ExporterSecret: mustHex(tv.exporterSecret), - - Encryptions: tv.encryptions, - Exports: tv.exports, - }) -} - -func (tv *testVector) UnmarshalJSON(data []byte) error { - raw := rawTestVector{} - err := json.Unmarshal(data, &raw) - if err != nil { - return err - } - - tv.mode = raw.Mode - tv.kem_id = raw.KEMID - tv.kdf_id = raw.KDFID - tv.aead_id = raw.AEADID - tv.info = mustUnhex(tv.t, raw.Info) - - tv.suite, err = AssembleCipherSuite(raw.KEMID, raw.KDFID, raw.AEADID) - if err != nil { - return err - } - - modeRequiresSenderKey := (tv.mode == modeAuth || tv.mode == modeAuthPSK) - tv.skR = mustDeserializePriv(tv.t, tv.suite, raw.SKR, true) - tv.skS = mustDeserializePriv(tv.t, tv.suite, raw.SKS, modeRequiresSenderKey) - tv.skE = mustDeserializePriv(tv.t, tv.suite, raw.SKE, true) - - tv.pkR = mustDeserializePub(tv.t, tv.suite, raw.PKR, true) - tv.pkS = mustDeserializePub(tv.t, tv.suite, raw.PKS, modeRequiresSenderKey) - tv.pkE = mustDeserializePub(tv.t, tv.suite, raw.PKE, true) - - tv.psk = mustUnhex(tv.t, raw.PSK) - tv.psk_id = mustUnhex(tv.t, raw.PSKID) - - tv.seedR = mustUnhex(tv.t, raw.SeedR) - tv.seedS = mustUnhex(tv.t, raw.SeedS) - tv.seedE = mustUnhex(tv.t, raw.SeedE) - - tv.enc = mustUnhex(tv.t, raw.Enc) - tv.sharedSecret = mustUnhex(tv.t, raw.SharedSecret) - tv.keyScheduleContext = mustUnhex(tv.t, raw.KeyScheduleContext) - tv.secret = mustUnhex(tv.t, raw.Secret) - tv.key = mustUnhex(tv.t, raw.Key) - tv.nonce = mustUnhex(tv.t, raw.Nonce) - tv.exporterSecret = mustUnhex(tv.t, raw.ExporterSecret) - - tv.encryptions = raw.Encryptions - tv.exports = raw.Exports - return nil -} - -type testVectorArray struct { - t *testing.T - vectors []testVector -} - -func (tva testVectorArray) MarshalJSON() ([]byte, error) { - return json.Marshal(tva.vectors) -} - -func (tva *testVectorArray) UnmarshalJSON(data []byte) error { - err := json.Unmarshal(data, &tva.vectors) - if err != nil { - return err - } - - for i := range tva.vectors { - tva.vectors[i].t = tva.t - } - return nil -} - -/////// -// Generalize setup functions so that we can iterate over them easily -type setupMode struct { - Mode Mode - OK func(suite CipherSuite) bool - I func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) - R func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) -} - -var setupModes = map[Mode]setupMode{ - modeBase: { - Mode: modeBase, - OK: func(suite CipherSuite) bool { return true }, - I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { - return SetupBaseS(suite, rand.Reader, pkR, info) - }, - R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { - return SetupBaseR(suite, skR, enc, info) - }, - }, - modePSK: { - Mode: modePSK, - OK: func(suite CipherSuite) bool { return true }, - I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { - return SetupPSKS(suite, rand.Reader, pkR, psk, psk_id, info) - }, - R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { - return SetupPSKR(suite, skR, enc, psk, psk_id, info) - }, - }, - modeAuth: { - Mode: modeAuth, - OK: func(suite CipherSuite) bool { - _, ok := suite.KEM.(AuthKEMScheme) - return ok - }, - I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { - return SetupAuthS(suite, rand.Reader, pkR, skS, info) - }, - R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { - return SetupAuthR(suite, skR, pkS, enc, info) - }, - }, - modeAuthPSK: { - Mode: modeAuthPSK, - OK: func(suite CipherSuite) bool { - _, ok := suite.KEM.(AuthKEMScheme) - return ok - }, - I: func(suite CipherSuite, pkR KEMPublicKey, info []byte, skS KEMPrivateKey, psk, psk_id []byte) ([]byte, *EncryptContext, error) { - return SetupAuthPSKS(suite, rand.Reader, pkR, skS, psk, psk_id, info) - }, - R: func(suite CipherSuite, skR KEMPrivateKey, enc, info []byte, pkS KEMPublicKey, psk, psk_id []byte) (*DecryptContext, error) { - return SetupAuthPSKR(suite, skR, pkS, enc, psk, psk_id, info) - }, - }, -} - -/////// -// Direct tests - -type roundTripTest struct { - kem_id KEMID - kdf_id KDFID - aead_id AEADID - setup setupMode -} - -func (rtt roundTripTest) Test(t *testing.T) { - suite, err := AssembleCipherSuite(rtt.kem_id, rtt.kdf_id, rtt.aead_id) - if err != nil { - t.Fatalf("[%04x, %04x, %04x] Error looking up ciphersuite: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) - } - - if !rtt.setup.OK(suite) { - return - } - - skS, pkS, _ := mustGenerateKeyPair(t, suite) - skR, pkR, _ := mustGenerateKeyPair(t, suite) - - enc, ctxI, err := rtt.setup.I(suite, pkR, info, skS, fixedPSK, fixedPSKID) - assertNotError(t, suite, "Error in SetupI", err) - - ctxR, err := rtt.setup.R(suite, skR, enc, info, pkS, fixedPSK, fixedPSKID) - assertNotError(t, suite, "Error in SetupR", err) - - // Verify encryption functionality - for range make([]struct{}, rtts) { - encrypted := ctxI.Seal(aad, original) - decrypted, err := ctxR.Open(aad, encrypted) - assertNotError(t, suite, "Error in Open", err) - assertBytesEqual(t, suite, "Incorrect decryption", decrypted, original) - } - - // Verify exporter functionality - exportedI := ctxI.Export(exportContext, exportLength) - exportedR := ctxR.Export(exportContext, exportLength) - assertBytesEqual(t, suite, "Incorrect exported secret", exportedI, exportedR) - - // Verify encryption context serialization functionality - opaqueI, err := ctxI.Marshal() - if err != nil { - t.Fatalf("[%04x, %04x, %04x] Error serializing encrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) - } - - unmarshaledI, err := UnmarshalEncryptContext(opaqueI) - if err != nil { - t.Fatalf("[%04x, %04x, %04x] Error serializing encrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) - } - - assertCipherContextEqual(t, suite, "Encrypt context serialization mismatch", ctxI.context, unmarshaledI.context) - - // Verify decryption context serialization functionality - opaqueR, err := ctxR.Marshal() - if err != nil { - t.Fatalf("[%04x, %04x, %04x] Error serializing decrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) - } - - unmarshaledR, err := UnmarshalDecryptContext(opaqueR) - if err != nil { - t.Fatalf("[%04x, %04x, %04x] Error serializing decrypt context: %v", rtt.kem_id, rtt.kdf_id, rtt.aead_id, err) - } - - assertCipherContextEqual(t, suite, "Decrypt context serialization mismatch", ctxR.context, unmarshaledR.context) - - // Verify exporter functionality for a deserialized context - assertBytesEqual(t, suite, "Export after serialization fails for sender", exportedI, unmarshaledI.Export(exportContext, exportLength)) - assertBytesEqual(t, suite, "Export after serialization fails for receiver", exportedR, unmarshaledR.Export(exportContext, exportLength)) -} - -func TestModes(t *testing.T) { - for kem_id, _ := range kems { - for kdf_id, _ := range kdfs { - for aead_id, _ := range aeads { - for mode, setup := range setupModes { - label := fmt.Sprintf("kem=%04x/kdf=%04x/aead=%04x/mode=%02x", kem_id, kdf_id, aead_id, mode) - rtt := roundTripTest{kem_id, kdf_id, aead_id, setup} - t.Run(label, rtt.Test) - } - } - } - } -} - -/////// -// Generation and processing of test vectors - -func verifyEncryptions(tv testVector, enc *EncryptContext, dec *DecryptContext) { - for _, data := range tv.encryptions { - encrypted := enc.Seal(data.aad, data.plaintext) - decrypted, err := dec.Open(data.aad, encrypted) - - assertNotError(tv.t, tv.suite, "Error in Open", err) - assertBytesEqual(tv.t, tv.suite, "Incorrect encryption", encrypted, data.ciphertext) - assertBytesEqual(tv.t, tv.suite, "Incorrect decryption", decrypted, data.plaintext) - } -} - -func verifyParameters(tv testVector, ctx context) { - assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'shared_secret'", tv.sharedSecret, ctx.setupParams.sharedSecret) - assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'enc'", tv.enc, ctx.setupParams.enc) - assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'key_schedule_context'", tv.keyScheduleContext, ctx.contextParams.keyScheduleContext) - assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'secret'", tv.secret, ctx.contextParams.secret) - assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'key'", tv.key, ctx.Key) - assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'nonce'", tv.nonce, ctx.Nonce) - assertBytesEqual(tv.t, tv.suite, "Incorrect parameter 'exporter_secret'", tv.exporterSecret, ctx.ExporterSecret) -} - -func verifyPublicKeysEqual(tv testVector, pkX, pkY KEMPublicKey) { - pkXm := mustSerializePub(tv.suite, pkX) - pkYm := mustSerializePub(tv.suite, pkY) - assertBytesEqual(tv.t, tv.suite, "Incorrect public key", []byte(pkXm), []byte(pkYm)) -} - -func verifyPrivateKeysEqual(tv testVector, skX, skY KEMPrivateKey) { - skXm := mustSerializePriv(tv.suite, skX) - skYm := mustSerializePriv(tv.suite, skY) - assertBytesEqual(tv.t, tv.suite, "Incorrect private key", []byte(skXm), []byte(skYm)) -} - -func verifyTestVector(tv testVector) { - setup := setupModes[tv.mode] - - skR, pkR, err := tv.suite.KEM.DeriveKeyPair(tv.seedR) - assertNotError(tv.t, tv.suite, "Error in DeriveKeyPair", err) - verifyPublicKeysEqual(tv, tv.pkR, pkR) - verifyPrivateKeysEqual(tv, tv.skR, skR) - - skE, pkE, err := tv.suite.KEM.DeriveKeyPair(tv.seedE) - assertNotError(tv.t, tv.suite, "Error in DeriveKeyPair", err) - verifyPublicKeysEqual(tv, tv.pkE, pkE) - verifyPrivateKeysEqual(tv, tv.skE, skE) - - tv.suite.KEM.setEphemeralKeyPair(skE) - - var pkS KEMPublicKey - var skS KEMPrivateKey - if setup.Mode == modeAuth || setup.Mode == modeAuthPSK { - skS, pkS, err = tv.suite.KEM.DeriveKeyPair(tv.seedS) - assertNotError(tv.t, tv.suite, "Error in DeriveKeyPair", err) - verifyPublicKeysEqual(tv, tv.pkS, pkS) - verifyPrivateKeysEqual(tv, tv.skS, skS) - } - - enc, ctxI, err := setup.I(tv.suite, pkR, tv.info, skS, tv.psk, tv.psk_id) - assertNotError(tv.t, tv.suite, "Error in SetupI", err) - assertBytesEqual(tv.t, tv.suite, "Encapsulated key mismatch", enc, tv.enc) - - ctxR, err := setup.R(tv.suite, skR, tv.enc, tv.info, pkS, tv.psk, tv.psk_id) - assertNotError(tv.t, tv.suite, "Error in SetupR", err) - - verifyParameters(tv, ctxI.context) - verifyParameters(tv, ctxR.context) - - verifyEncryptions(tv, ctxI, ctxR) -} - -func vectorTest(vector testVector) func(t *testing.T) { - return func(t *testing.T) { - verifyTestVector(vector) - } -} - -func verifyTestVectors(t *testing.T, vectorString []byte, subtest bool) { - vectors := testVectorArray{t: t} - err := json.Unmarshal(vectorString, &vectors) - if err != nil { - t.Fatalf("Error decoding test vector string: %v", err) - } - - for _, tv := range vectors.vectors { - test := vectorTest(tv) - if !subtest { - test(t) - } else { - label := fmt.Sprintf("kem=%04x/kdf=%04x/aead=%04x/mode=%02x", tv.kem_id, tv.kdf_id, tv.aead_id, tv.mode) - t.Run(label, test) - } - } -} - -func generateEncryptions(t *testing.T, suite CipherSuite, ctxI *EncryptContext, ctxR *DecryptContext) ([]encryptionTestVector, error) { - vectors := make([]encryptionTestVector, testVectorEncryptionCount) - for i := 0; i < len(vectors); i++ { - aad := []byte(fmt.Sprintf("Count-%d", i)) - encrypted := ctxI.Seal(aad, original) - decrypted, err := ctxR.Open(aad, encrypted) - assertNotError(t, suite, "Decryption failure", err) - assertBytesEqual(t, suite, "Incorrect decryption", original, decrypted) - - vectors[i] = encryptionTestVector{ - plaintext: original, - aad: aad, - nonce: ctxI.nonces[i], - ciphertext: encrypted, - } - } - - return vectors, nil -} - -func generateExports(t *testing.T, suite CipherSuite, ctxI *EncryptContext, ctxR *DecryptContext) ([]exporterTestVector, error) { - vectors := make([]exporterTestVector, testVectorExportCount) - for i := 0; i < len(vectors); i++ { - context := []byte(fmt.Sprintf("Context-%d", i)) - exportI := ctxI.Export(context, testVectorExportLength) - exportR := ctxR.Export(context, testVectorExportLength) - assertBytesEqual(t, suite, "Incorrect export", exportI, exportR) - vectors[i] = exporterTestVector{ - exportContext: context, - exportLength: testVectorExportLength, - exportValue: exportI, - } - } - - return vectors, nil -} - -func generateTestVector(t *testing.T, setup setupMode, kem_id KEMID, kdf_id KDFID, aead_id AEADID) testVector { - suite, err := AssembleCipherSuite(kem_id, kdf_id, aead_id) - if err != nil { - t.Fatalf("[%x, %x, %x] Error looking up ciphersuite: %s", kem_id, kdf_id, aead_id, err) - } - - skR, pkR, seedR := mustGenerateKeyPair(t, suite) - skE, pkE, seedE := mustGenerateKeyPair(t, suite) - - // The sender key share is only required for Auth mode variants. - var pkS KEMPublicKey - var skS KEMPrivateKey - var seedS []byte - if setup.Mode == modeAuth || setup.Mode == modeAuthPSK { - skS, pkS, seedS = mustGenerateKeyPair(t, suite) - } - - // A PSK is only required for PSK mode variants. - var psk []byte - var psk_id []byte - if setup.Mode == modePSK || setup.Mode == modeAuthPSK { - psk = fixedPSK - psk_id = fixedPSKID - } - - suite.KEM.setEphemeralKeyPair(skE) - - enc, ctxI, err := setup.I(suite, pkR, info, skS, psk, psk_id) - assertNotError(t, suite, "Error in SetupPSKS", err) - - ctxR, err := setup.R(suite, skR, enc, info, pkS, psk, psk_id) - assertNotError(t, suite, "Error in SetupPSKR", err) - - encryptionVectors, err := generateEncryptions(t, suite, ctxI, ctxR) - assertNotError(t, suite, "Error in generateEncryptions", err) - - exportVectors, err := generateExports(t, suite, ctxI, ctxR) - assertNotError(t, suite, "Error in generateExports", err) - - vector := testVector{ - t: t, - suite: suite, - mode: setup.Mode, - kem_id: kem_id, - kdf_id: kdf_id, - aead_id: aead_id, - info: info, - skR: skR, - pkR: pkR, - skS: skS, - pkS: pkS, - skE: skE, - pkE: pkE, - seedR: seedR, - seedS: seedS, - seedE: seedE, - psk: psk, - psk_id: psk_id, - enc: ctxI.setupParams.enc, - sharedSecret: ctxI.setupParams.sharedSecret, - keyScheduleContext: ctxI.contextParams.keyScheduleContext, - secret: ctxI.contextParams.secret, - key: ctxI.Key, - nonce: ctxI.Nonce, - exporterSecret: ctxI.ExporterSecret, - encryptions: encryptionVectors, - exports: exportVectors, - } - - return vector -} - -func TestVectorGenerate(t *testing.T) { - // We only generate test vectors for select ciphersuites - supportedKEMs := []KEMID{DHKEM_X25519, DHKEM_P256, DHKEM_P521} - supportedKDFs := []KDFID{KDF_HKDF_SHA256, KDF_HKDF_SHA512} - supportedAEADs := []AEADID{AEAD_AESGCM128, AEAD_AESGCM256, AEAD_CHACHA20POLY1305} - - vectors := make([]testVector, 0) - for _, kem_id := range supportedKEMs { - for _, kdf_id := range supportedKDFs { - for _, aead_id := range supportedAEADs { - for _, setup := range setupModes { - vectors = append(vectors, generateTestVector(t, setup, kem_id, kdf_id, aead_id)) - } - } - } - } - - // Encode the test vectors - encoded, err := json.Marshal(vectors) - if err != nil { - t.Fatalf("Error producing test vectors: %v", err) - } - - // Verify that we process them correctly - verifyTestVectors(t, encoded, false) - - // Write them to a file if requested - var outputFile string - if outputFile = os.Getenv(outputTestVectorEnvironmentKey); len(outputFile) > 0 { - err = ioutil.WriteFile(outputFile, encoded, 0644) - if err != nil { - t.Fatalf("Error writing test vectors: %v", err) - } - } -} - -func TestVectorVerify(t *testing.T) { - var inputFile string - if inputFile = os.Getenv(inputTestVectorEnvironmentKey); len(inputFile) == 0 { - t.Skip("Test vectors were not provided") - } - - encoded, err := ioutil.ReadFile(inputFile) - if err != nil { - t.Fatalf("Failed reading test vectors: %v", err) - } - - verifyTestVectors(t, encoded, true) -} diff --git a/src/crypto/tls/internal/hpke/test-vectors.json b/src/crypto/tls/internal/hpke/test-vectors.json deleted file mode 100644 index d12ce457384..00000000000 --- a/src/crypto/tls/internal/hpke/test-vectors.json +++ /dev/null @@ -1 +0,0 @@ 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\ No newline at end of file diff --git a/src/crypto/tls/internal/syntax/LICENSE b/src/crypto/tls/internal/syntax/LICENSE deleted file mode 100644 index a6995a82faa..00000000000 --- a/src/crypto/tls/internal/syntax/LICENSE +++ /dev/null @@ -1,25 +0,0 @@ -BSD 2-Clause License - -Copyright (c) 2020, Cisco Systems -All rights reserved. - -Redistribution and use in source and binary forms, with or without -modification, are permitted provided that the following conditions are met: - -1. Redistributions of source code must retain the above copyright notice, this - list of conditions and the following disclaimer. - -2. Redistributions in binary form must reproduce the above copyright notice, - this list of conditions and the following disclaimer in the documentation - and/or other materials provided with the distribution. - -THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" -AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE -IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE -DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE -FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL -DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR -SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, -OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE -OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. diff --git a/src/crypto/tls/internal/syntax/README.md b/src/crypto/tls/internal/syntax/README.md deleted file mode 100644 index 3c8db185a37..00000000000 --- a/src/crypto/tls/internal/syntax/README.md +++ /dev/null @@ -1,3 +0,0 @@ -This package is copied from [here](https://github.com/cisco/go-tls-syntax). - -TODO(cjpatton): Remove this package once HPKE is implemented in CIRCL. diff --git a/src/crypto/tls/internal/syntax/decode.go b/src/crypto/tls/internal/syntax/decode.go deleted file mode 100644 index f2e3d6b2a9e..00000000000 --- a/src/crypto/tls/internal/syntax/decode.go +++ /dev/null @@ -1,456 +0,0 @@ -package syntax - -import ( - "bytes" - "fmt" - "reflect" - "runtime" - "sync" -) - -func Unmarshal(data []byte, v interface{}) (int, error) { - // Check for well-formedness. - // Avoids filling out half a data structure - // before discovering a JSON syntax error. - d := decodeState{} - d.Write(data) - return d.unmarshal(v) -} - -// Unmarshaler is the interface implemented by types that can -// unmarshal a TLS description of themselves. Note that unlike the -// JSON unmarshaler interface, it is not known a priori how much of -// the input data will be consumed. So the Unmarshaler must state -// how much of the input data it consumed. -type Unmarshaler interface { - UnmarshalTLS([]byte) (int, error) -} - -type decodeState struct { - bytes.Buffer -} - -func (d *decodeState) unmarshal(v interface{}) (read int, err error) { - defer func() { - if r := recover(); r != nil { - if _, ok := r.(runtime.Error); ok { - panic(r) - } - if s, ok := r.(string); ok { - panic(s) - } - err = r.(error) - } - }() - - rv := reflect.ValueOf(v) - if rv.Kind() != reflect.Ptr || rv.IsNil() { - return 0, fmt.Errorf("Invalid unmarshal target (non-pointer or nil)") - } - - read = d.value(rv) - return read, nil -} - -func (e *decodeState) value(v reflect.Value) int { - return valueDecoder(v)(e, v, fieldOptions{}) -} - -type decoderFunc func(e *decodeState, v reflect.Value, opts fieldOptions) int - -func valueDecoder(v reflect.Value) decoderFunc { - return typeDecoder(v.Type().Elem()) -} - -var decoderCache sync.Map // map[reflect.Type]decoderFunc - -func typeDecoder(t reflect.Type) decoderFunc { - if fi, ok := decoderCache.Load(t); ok { - return fi.(decoderFunc) - } - - // XXX(RLB): Wait group based support for recursive types omitted - - // Compute the real decoder and replace the indirect func with it. - f := newTypeDecoder(t) - decoderCache.Store(t, f) - return f -} - -var ( - unmarshalerType = reflect.TypeOf(new(Unmarshaler)).Elem() - uint8Type = reflect.TypeOf(uint8(0)) -) - -func newTypeDecoder(t reflect.Type) decoderFunc { - var dec decoderFunc - if t.Kind() != reflect.Ptr && reflect.PtrTo(t).Implements(unmarshalerType) { - dec = unmarshalerDecoder - } else { - switch t.Kind() { - case reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64: - dec = uintDecoder - case reflect.Array: - dec = newArrayDecoder(t) - case reflect.Slice: - dec = newSliceDecoder(t) - case reflect.Map: - dec = newMapDecoder(t) - case reflect.Struct: - dec = newStructDecoder(t) - case reflect.Ptr: - dec = newPointerDecoder(t) - default: - panic(fmt.Errorf("Unsupported type (%s)", t)) - } - } - - if reflect.PtrTo(t).Implements(validatorType) { - dec = newValidatorDecoder(dec) - } - - return dec -} - -///// Specific decoders below - -func omitDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { - return 0 -} - -////////// - -func unmarshalerDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { - um, ok := v.Interface().(Unmarshaler) - if !ok { - panic(fmt.Errorf("Non-Unmarshaler passed to unmarshalerEncoder")) - } - - read, err := um.UnmarshalTLS(d.Bytes()) - if err != nil { - panic(err) - } - - if read > d.Len() { - panic(fmt.Errorf("Invalid return value from UnmarshalTLS")) - } - - d.Next(read) - return read -} - -////////// - -func newValidatorDecoder(raw decoderFunc) decoderFunc { - return func(d *decodeState, v reflect.Value, opts fieldOptions) int { - read := raw(d, v, opts) - - val, ok := v.Interface().(Validator) - if !ok { - panic(fmt.Errorf("Non-Validator passed to validatorDecoder")) - } - - if err := val.ValidForTLS(); err != nil { - panic(fmt.Errorf("Decoded invalid TLS value: %v", err)) - } - - return read - } -} - -////////// - -func uintDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { - if opts.varint { - return varintDecoder(d, v, opts) - } - - uintLen := int(v.Elem().Type().Size()) - buf := d.Next(uintLen) - if len(buf) != uintLen { - panic(fmt.Errorf("Insufficient data to read uint")) - } - - return setUintFromBuffer(v, buf) -} - -func varintDecoder(d *decodeState, v reflect.Value, opts fieldOptions) int { - l, val := readVarint(d) - - uintLen := int(v.Elem().Type().Size()) - if uintLen < l { - panic(fmt.Errorf("Uint too small to fit varint: %d < %d", uintLen, l)) - } - - v.Elem().SetUint(val) - - return l -} - -func readVarint(d *decodeState) (int, uint64) { - // Read the first octet and decide the size of the presented varint - first := d.Next(1) - if len(first) != 1 { - panic(fmt.Errorf("Insufficient data to read varint length")) - } - - twoBits := uint(first[0] >> 6) - varintLen := 1 << twoBits - - rest := d.Next(varintLen - 1) - if len(rest) != varintLen-1 { - panic(fmt.Errorf("Insufficient data to read varint")) - } - - buf := append(first, rest...) - buf[0] &= 0x3f - - return len(buf), decodeUintFromBuffer(buf) -} - -func decodeUintFromBuffer(buf []byte) uint64 { - val := uint64(0) - for _, b := range buf { - val = (val << 8) + uint64(b) - } - - return val -} - -func setUintFromBuffer(v reflect.Value, buf []byte) int { - v.Elem().SetUint(decodeUintFromBuffer(buf)) - return len(buf) -} - -////////// - -type arrayDecoder struct { - elemDec decoderFunc -} - -func (ad *arrayDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { - n := v.Elem().Type().Len() - read := 0 - for i := 0; i < n; i += 1 { - read += ad.elemDec(d, v.Elem().Index(i).Addr(), opts) - } - return read -} - -func newArrayDecoder(t reflect.Type) decoderFunc { - dec := &arrayDecoder{typeDecoder(t.Elem())} - return dec.decode -} - -////////// - -func decodeLength(d *decodeState, opts fieldOptions) (int, int) { - read := 0 - length := 0 - switch { - case opts.omitHeader: - read = 0 - length = d.Len() - - case opts.varintHeader: - var length64 uint64 - read, length64 = readVarint(d) - length = int(length64) - - case opts.headerSize > 0: - lengthBytes := d.Next(int(opts.headerSize)) - if len(lengthBytes) != int(opts.headerSize) { - panic(fmt.Errorf("Not enough data to read header")) - } - read = len(lengthBytes) - length = int(decodeUintFromBuffer(lengthBytes)) - - default: - panic(fmt.Errorf("Cannot decode a slice without a header length")) - } - - // Check that the length is OK - if opts.maxSize > 0 && length > opts.maxSize { - panic(fmt.Errorf("Length of vector exceeds declared max")) - } - if length < opts.minSize { - panic(fmt.Errorf("Length of vector below declared min")) - } - - return read, length -} - -////////// - -type sliceDecoder struct { - elementType reflect.Type - elementDec decoderFunc -} - -func (sd *sliceDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { - // Determine the length of the vector - read, length := decodeLength(d, opts) - - // Decode elements - elemData := d.Next(length) - if len(elemData) != length { - panic(fmt.Errorf("Not enough data to read elements")) - } - - // For opaque values, we can return a reference instead of making a new slice - if v.Elem().Type().Elem() == uint8Type { - v.Elem().Set(reflect.ValueOf(elemData)) - return read + length - } - - // For other values, we need to decode the raw data - elemBuf := &decodeState{} - elemBuf.Write(elemData) - elems := []reflect.Value{} - for elemBuf.Len() > 0 { - elem := reflect.New(sd.elementType) - read += sd.elementDec(elemBuf, elem, opts) - elems = append(elems, elem) - } - - v.Elem().Set(reflect.MakeSlice(v.Elem().Type(), len(elems), len(elems))) - for i := 0; i < len(elems); i += 1 { - v.Elem().Index(i).Set(elems[i].Elem()) - } - return read -} - -func newSliceDecoder(t reflect.Type) decoderFunc { - dec := &sliceDecoder{ - elementType: t.Elem(), - elementDec: typeDecoder(t.Elem()), - } - return dec.decode -} - -////////// - -type mapDecoder struct { - keyType reflect.Type - valType reflect.Type - keyDec decoderFunc - valDec decoderFunc -} - -func (md mapDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { - // Determine the length of the data - read, length := decodeLength(d, opts) - - // Decode key/value pairs - elemData := d.Next(length) - if len(elemData) != length { - panic(fmt.Errorf("Not enough data to read elements")) - } - - mapType := reflect.MapOf(md.keyType, md.valType) - v.Elem().Set(reflect.MakeMap(mapType)) - - nullOpts := fieldOptions{} - elemBuf := &decodeState{} - elemBuf.Write(elemData) - for elemBuf.Len() > 0 { - key := reflect.New(md.keyType) - read += md.keyDec(elemBuf, key, nullOpts) - - val := reflect.New(md.valType) - read += md.valDec(elemBuf, val, nullOpts) - - v.Elem().SetMapIndex(key.Elem(), val.Elem()) - } - - return read -} - -func newMapDecoder(t reflect.Type) decoderFunc { - md := mapDecoder{ - keyType: t.Key(), - valType: t.Elem(), - keyDec: typeDecoder(t.Key()), - valDec: typeDecoder(t.Elem()), - } - - return md.decode -} - -////////// - -type structDecoder struct { - fieldOpts []fieldOptions - fieldDecs []decoderFunc -} - -func (sd *structDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { - read := 0 - for i := range sd.fieldDecs { - read += sd.fieldDecs[i](d, v.Elem().Field(i).Addr(), sd.fieldOpts[i]) - } - return read -} - -func newStructDecoder(t reflect.Type) decoderFunc { - n := t.NumField() - sd := structDecoder{ - fieldOpts: make([]fieldOptions, n), - fieldDecs: make([]decoderFunc, n), - } - - for i := 0; i < n; i += 1 { - f := t.Field(i) - - tag := f.Tag.Get("tls") - opts := parseTag(tag) - - if !opts.ValidForType(f.Type) { - panic(fmt.Errorf("Tags invalid for field type")) - } - - sd.fieldOpts[i] = opts - if sd.fieldOpts[i].omit { - sd.fieldDecs[i] = omitDecoder - } else { - sd.fieldDecs[i] = typeDecoder(f.Type) - } - } - - return sd.decode -} - -////////// - -type pointerDecoder struct { - base decoderFunc -} - -func (pd *pointerDecoder) decode(d *decodeState, v reflect.Value, opts fieldOptions) int { - readBase := 0 - if opts.optional { - readBase = 1 - flag := d.Next(1) - switch flag[0] { - case optionalFlagAbsent: - indir := v.Elem() - indir.Set(reflect.Zero(indir.Type())) - return 1 - - case optionalFlagPresent: - // No action; continue as normal - - default: - panic(fmt.Errorf("Invalid flag byte for optional: [%x]", flag)) - } - } - - v.Elem().Set(reflect.New(v.Elem().Type().Elem())) - return readBase + pd.base(d, v.Elem(), opts) -} - -func newPointerDecoder(t reflect.Type) decoderFunc { - baseDecoder := typeDecoder(t.Elem()) - pd := pointerDecoder{base: baseDecoder} - return pd.decode -} diff --git a/src/crypto/tls/internal/syntax/encode.go b/src/crypto/tls/internal/syntax/encode.go deleted file mode 100644 index 3bc507fbe09..00000000000 --- a/src/crypto/tls/internal/syntax/encode.go +++ /dev/null @@ -1,411 +0,0 @@ -package syntax - -import ( - "bytes" - "fmt" - "reflect" - "runtime" - "sort" - "sync" -) - -func Marshal(v interface{}) ([]byte, error) { - e := &encodeState{} - err := e.marshal(v, fieldOptions{}) - if err != nil { - return nil, err - } - return e.Bytes(), nil -} - -// Marshaler is the interface implemented by types that -// have a defined TLS encoding. -type Marshaler interface { - MarshalTLS() ([]byte, error) -} - -type encodeState struct { - bytes.Buffer -} - -func (e *encodeState) marshal(v interface{}, opts fieldOptions) (err error) { - defer func() { - if r := recover(); r != nil { - if _, ok := r.(runtime.Error); ok { - panic(r) - } - if s, ok := r.(string); ok { - panic(s) - } - err = r.(error) - } - }() - e.reflectValue(reflect.ValueOf(v), opts) - return nil -} - -func (e *encodeState) reflectValue(v reflect.Value, opts fieldOptions) { - valueEncoder(v)(e, v, opts) -} - -type encoderFunc func(e *encodeState, v reflect.Value, opts fieldOptions) - -func valueEncoder(v reflect.Value) encoderFunc { - if !v.IsValid() { - panic(fmt.Errorf("Cannot encode an invalid value")) - } - return typeEncoder(v.Type()) -} - -var encoderCache sync.Map // map[reflect.Type]encoderFunc - -func typeEncoder(t reflect.Type) encoderFunc { - if fi, ok := encoderCache.Load(t); ok { - return fi.(encoderFunc) - } - - // XXX(RLB): Wait group based support for recursive types omitted - - // Compute the real encoder and replace the indirect func with it. - f := newTypeEncoder(t) - encoderCache.Store(t, f) - return f -} - -var ( - marshalerType = reflect.TypeOf(new(Marshaler)).Elem() -) - -func newTypeEncoder(t reflect.Type) encoderFunc { - var enc encoderFunc - if t.Implements(marshalerType) { - enc = marshalerEncoder - } else { - switch t.Kind() { - case reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64: - enc = uintEncoder - case reflect.Array: - enc = newArrayEncoder(t) - case reflect.Slice: - enc = newSliceEncoder(t) - case reflect.Struct: - enc = newStructEncoder(t) - case reflect.Map: - enc = newMapEncoder(t) - case reflect.Ptr: - enc = newPointerEncoder(t) - default: - panic(fmt.Errorf("Unsupported type (%s)", t)) - } - } - - if t.Implements(validatorType) { - enc = newValidatorEncoder(enc) - } - - return enc -} - -///// Specific encoders below - -func omitEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { - // This space intentionally left blank -} - -////////// - -func marshalerEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { - if v.Kind() == reflect.Ptr && v.IsNil() && !opts.optional { - panic(fmt.Errorf("Cannot encode nil pointer")) - } - - if v.Kind() == reflect.Ptr && opts.optional { - if v.IsNil() { - writeUint(e, uint64(optionalFlagAbsent), 1) - return - } - - writeUint(e, uint64(optionalFlagPresent), 1) - } - - m, ok := v.Interface().(Marshaler) - if !ok { - panic(fmt.Errorf("Non-Marshaler passed to marshalerEncoder")) - } - - b, err := m.MarshalTLS() - if err == nil { - _, err = e.Write(b) - } - - if err != nil { - panic(err) - } -} - -////////// - -func newValidatorEncoder(raw encoderFunc) encoderFunc { - return func(e *encodeState, v reflect.Value, opts fieldOptions) { - if v.Kind() == reflect.Ptr && v.IsNil() { - // Cannot validate nil values; just pass through to encoder - raw(e, v, opts) - return - } - - val, ok := v.Interface().(Validator) - if !ok { - panic(fmt.Errorf("Non-Validator passed to validatorEncoder")) - } - - if err := val.ValidForTLS(); err != nil { - panic(fmt.Errorf("Invalid TLS value: %v", err)) - } - - raw(e, v, opts) - } -} - -////////// - -func uintEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { - if opts.varint { - varintEncoder(e, v, opts) - return - } - - writeUint(e, v.Uint(), int(v.Type().Size())) -} - -func varintEncoder(e *encodeState, v reflect.Value, opts fieldOptions) { - writeVarint(e, v.Uint()) -} - -func writeVarint(e *encodeState, u uint64) { - if (u >> 62) > 0 { - panic(fmt.Errorf("uint value is too big for varint")) - } - - var varintLen int - for _, len := range []uint{1, 2, 4, 8} { - if u < (uint64(1) << (8*len - 2)) { - varintLen = int(len) - break - } - } - - twoBits := map[int]uint64{1: 0x00, 2: 0x01, 4: 0x02, 8: 0x03}[varintLen] - shift := uint(8*varintLen - 2) - writeUint(e, u|(twoBits<> uint(8*(len-i-1)))) - } -} - -////////// - -type arrayEncoder struct { - elemEnc encoderFunc -} - -func (ae *arrayEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { - n := v.Len() - for i := 0; i < n; i += 1 { - ae.elemEnc(e, v.Index(i), opts) - } -} - -func newArrayEncoder(t reflect.Type) encoderFunc { - enc := &arrayEncoder{typeEncoder(t.Elem())} - return enc.encode -} - -////////// - -func encodeLength(e *encodeState, n int, opts fieldOptions) { - if opts.maxSize > 0 && n > opts.maxSize { - panic(fmt.Errorf("Encoded length more than max [%d > %d]", n, opts.maxSize)) - } - if n < opts.minSize { - panic(fmt.Errorf("Encoded length less than min [%d < %d]", n, opts.minSize)) - } - - switch { - case opts.omitHeader: - // None. - - case opts.varintHeader: - writeVarint(e, uint64(n)) - - case opts.headerSize > 0: - if n>>uint(8*opts.headerSize) > 0 { - panic(fmt.Errorf("Encoded length too long for header length [%d, %d]", n, opts.headerSize)) - } - - writeUint(e, uint64(n), int(opts.headerSize)) - - default: - panic(fmt.Errorf("Cannot encode a slice without a header length")) - } -} - -////////// - -type sliceEncoder struct { - ae *arrayEncoder -} - -func (se *sliceEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { - arrayState := &encodeState{} - se.ae.encode(arrayState, v, opts) - - encodeLength(e, arrayState.Len(), opts) - e.Write(arrayState.Bytes()) -} - -func newSliceEncoder(t reflect.Type) encoderFunc { - enc := &sliceEncoder{&arrayEncoder{typeEncoder(t.Elem())}} - return enc.encode -} - -////////// - -type structEncoder struct { - fieldOpts []fieldOptions - fieldEncs []encoderFunc -} - -func (se *structEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { - for i := range se.fieldEncs { - se.fieldEncs[i](e, v.Field(i), se.fieldOpts[i]) - } -} - -func newStructEncoder(t reflect.Type) encoderFunc { - n := t.NumField() - se := structEncoder{ - fieldOpts: make([]fieldOptions, n), - fieldEncs: make([]encoderFunc, n), - } - - for i := 0; i < n; i += 1 { - f := t.Field(i) - tag := f.Tag.Get("tls") - opts := parseTag(tag) - - if !opts.ValidForType(f.Type) { - panic(fmt.Errorf("Tags invalid for field type")) - } - - se.fieldOpts[i] = opts - if opts.omit { - se.fieldEncs[i] = omitEncoder - } else { - se.fieldEncs[i] = typeEncoder(f.Type) - } - } - - return se.encode -} - -////////// - -type mapEncoder struct { - keyEnc encoderFunc - valEnc encoderFunc -} - -type encMap struct { - keyEncs [][]byte - valEncs [][]byte -} - -func (em encMap) Len() int { return len(em.keyEncs) } - -func (em *encMap) Swap(i, j int) { - em.keyEncs[i], em.keyEncs[j] = em.keyEncs[j], em.keyEncs[i] - em.valEncs[i], em.valEncs[j] = em.valEncs[j], em.valEncs[i] -} - -func (em encMap) Less(i, j int) bool { - return bytes.Compare(em.keyEncs[i], em.keyEncs[j]) < 0 -} - -func (em encMap) Size() int { - size := 0 - for i := range em.keyEncs { - size += len(em.keyEncs[i]) + len(em.valEncs[i]) - } - return size -} - -func (em encMap) Encode(e *encodeState) { - for i := range em.keyEncs { - e.Write(em.keyEncs[i]) - e.Write(em.valEncs[i]) - } -} - -func (me *mapEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { - enc := &encMap{ - keyEncs: make([][]byte, v.Len()), - valEncs: make([][]byte, v.Len()), - } - nullOpts := fieldOptions{} - it := v.MapRange() - for i := 0; i < enc.Len() && it.Next(); i++ { - keyState := &encodeState{} - me.keyEnc(keyState, it.Key(), nullOpts) - enc.keyEncs[i] = keyState.Bytes() - - valState := &encodeState{} - me.valEnc(valState, it.Value(), nullOpts) - enc.valEncs[i] = valState.Bytes() - } - - sort.Sort(enc) - - encodeLength(e, enc.Size(), opts) - enc.Encode(e) -} - -func newMapEncoder(t reflect.Type) encoderFunc { - me := mapEncoder{ - keyEnc: typeEncoder(t.Key()), - valEnc: typeEncoder(t.Elem()), - } - - return me.encode -} - -////////// - -type pointerEncoder struct { - base encoderFunc -} - -func (pe pointerEncoder) encode(e *encodeState, v reflect.Value, opts fieldOptions) { - if v.IsNil() && !opts.optional { - panic(fmt.Errorf("Cannot encode nil pointer")) - } - - if opts.optional { - if v.IsNil() { - writeUint(e, uint64(optionalFlagAbsent), 1) - return - } - - writeUint(e, uint64(optionalFlagPresent), 1) - } - - pe.base(e, v.Elem(), opts) -} - -func newPointerEncoder(t reflect.Type) encoderFunc { - baseEncoder := typeEncoder(t.Elem()) - pe := pointerEncoder{base: baseEncoder} - return pe.encode -} diff --git a/src/crypto/tls/internal/syntax/stream.go b/src/crypto/tls/internal/syntax/stream.go deleted file mode 100644 index 322f3490648..00000000000 --- a/src/crypto/tls/internal/syntax/stream.go +++ /dev/null @@ -1,76 +0,0 @@ -package syntax - -/// -/// Write Stream -/// - -type WriteStream struct { - buffer []byte -} - -func NewWriteStream() *WriteStream { - return &WriteStream{} -} - -func (s *WriteStream) Data() []byte { - return s.buffer -} - -func (s *WriteStream) Write(val interface{}) error { - enc, err := Marshal(val) - if err != nil { - return err - } - s.buffer = append(s.buffer, enc...) - return nil -} - -func (s *WriteStream) WriteAll(vals ...interface{}) error { - for _, val := range vals { - err := s.Write(val) - if err != nil { - return err - } - } - return nil -} - -/// -/// ReadStream -/// - -type ReadStream struct { - buffer []byte - cursor int -} - -func NewReadStream(data []byte) *ReadStream { - return &ReadStream{data, 0} -} - -func (s *ReadStream) Read(val interface{}) (int, error) { - read, err := Unmarshal(s.buffer[s.cursor:], val) - if err != nil { - return 0, err - } - - s.cursor += read - return read, nil -} - -func (s *ReadStream) ReadAll(vals ...interface{}) (int, error) { - read := 0 - for _, val := range vals { - readHere, err := s.Read(val) - if err != nil { - return 0, err - } - - read += readHere - } - return read, nil -} - -func (s *ReadStream) Position() int { - return s.cursor -} diff --git a/src/crypto/tls/internal/syntax/tags.go b/src/crypto/tls/internal/syntax/tags.go deleted file mode 100644 index 7734eea98c5..00000000000 --- a/src/crypto/tls/internal/syntax/tags.go +++ /dev/null @@ -1,173 +0,0 @@ -package syntax - -import ( - "fmt" - "reflect" - "strconv" - "strings" -) - -// Allow types to mark themselves as valid for TLS to marshal/unmarshal -type Validator interface { - ValidForTLS() error -} - -var ( - validatorType = reflect.TypeOf(new(Validator)).Elem() -) - -// `tls:"head=2,min=2,max=255,varint"` - -type fieldOptions struct { - omitHeader bool // whether to omit the slice header - varintHeader bool // whether to encode the header length as a varint - headerSize int // length of length in bytes - minSize int // minimum vector size in bytes - maxSize int // maximum vector size in bytes - - varint bool // whether to encode as a varint - optional bool // whether to encode pointer as optional - omit bool // whether to skip a field -} - -func mutuallyExclusive(vals []bool) bool { - set := 0 - for _, val := range vals { - if val { - set += 1 - } - } - return set <= 1 -} - -func (opts fieldOptions) Consistent() bool { - // No more than one of the header options must be set - headerPaths := []bool{opts.omitHeader, opts.varintHeader, opts.headerSize > 1} - if !mutuallyExclusive(headerPaths) { - return false - } - - // Max must be greater than min - if opts.maxSize > 0 && opts.minSize > opts.maxSize { - return false - } - - // varint and optional are mutually exclusive with each other, and with the slice options - headerOpts := (opts.omitHeader || opts.varintHeader || opts.headerSize > 1 || opts.maxSize > 0 || opts.minSize > 0) - encodePaths := []bool{headerOpts, opts.varint, opts.optional} - if !mutuallyExclusive(encodePaths) { - return false - } - - // Omit is mutually exclusive with everything else - otherThanOmit := (headerOpts || opts.varint || opts.optional) - if !mutuallyExclusive([]bool{opts.omit, otherThanOmit}) { - return false - } - - return true -} - -func (opts fieldOptions) ValidForType(t reflect.Type) bool { - headerType := t.Kind() == reflect.Slice || t.Kind() == reflect.Map - headerTags := opts.omitHeader || opts.varintHeader || (opts.headerSize != 0) || - (opts.minSize != 0) || (opts.maxSize != 0) - if headerTags && !headerType { - return false - } - - uintRequired := opts.varint - if uintRequired { - switch t.Kind() { - case reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64: - default: - return false - } - } - - ptrRequired := opts.optional - if ptrRequired && t.Kind() != reflect.Ptr { - return false - } - - return true -} - -var ( - varintOption = "varint" - optionalOption = "optional" - omitOption = "omit" - - headOptionNone = "none" - headOptionVarint = "varint" - headValueNoHead = uint(255) - headValueVarint = uint(254) - - optionalFlagAbsent uint8 = 0 - optionalFlagPresent uint8 = 1 -) - -func atoi(a string) int { - i, err := strconv.Atoi(a) - if err != nil { - panic(fmt.Errorf("Invalid header size: %v", err)) - } - return i -} - -// parseTag parses a struct field's "tls" tag as a comma-separated list of -// name=value pairs, where the values MUST be unsigned integers, or in -// the special case of head, "none" or "varint" -func parseTag(tag string) fieldOptions { - opts := fieldOptions{} - for _, token := range strings.Split(tag, ",") { - parts := strings.Split(token, "=") - - // Handle name-only entries - if len(parts) == 1 { - switch parts[0] { - case varintOption: - opts.varint = true - case optionalOption: - opts.optional = true - case omitOption: - opts.omit = true - default: - // XXX(rlb): Ignoring unknown fields - } - continue - } - - if len(parts) != 2 || len(parts[0]) == 0 || len(parts[1]) == 0 { - panic(fmt.Errorf("Malformed tag")) - } - - // Handle name=value entries - switch parts[0] { - case "head": - switch { - case parts[1] == headOptionNone: - opts.omitHeader = true - case parts[1] == headOptionVarint: - opts.varintHeader = true - default: - opts.headerSize = atoi(parts[1]) - } - - case "min": - opts.minSize = atoi(parts[1]) - - case "max": - opts.maxSize = atoi(parts[1]) - - default: - // XXX(rlb): Ignoring unknown fields - } - } - - if !opts.Consistent() { - panic(fmt.Errorf("Inconsistent options")) - } - - return opts -} diff --git a/src/crypto/tls/tls.go b/src/crypto/tls/tls.go index 27e1cf925cc..83d3783c078 100644 --- a/src/crypto/tls/tls.go +++ b/src/crypto/tls/tls.go @@ -6,7 +6,7 @@ // and TLS 1.3, as specified in RFC 8446. // // This package implements the "Encrypted ClientHello (ECH)" extension, as -// specified by draft-ietf-tls-esni-08. This extension allows the client to +// specified by draft-ietf-tls-esni-09. This extension allows the client to // encrypt its ClientHello to the public key of an ECH-service provider, known // as the client-facing server. If successful, then the client-facing server // forwards the decrypted ClientHello to the intended recipient, known as the @@ -15,19 +15,19 @@ package tls // BUG(cjpatton): In order to achieve its security goal, the ECH extension -// specifies various padding mechanisms to ensure that the length of handshake -// messages doesn't depend on who terminates the connection. This package does -// not yet implement client- or server-side padding. +// requires padding in order to ensure that the length of handshake messages +// doesn't depend on who terminates the connection. This package does not yet +// implement client- or server-side padding: see +// https://github.com/tlswg/draft-ietf-tls-esni/issues/264. -// BUG(cjpatton): Another goal of the ECH extension is that connections that use -// ECH should be indistinguishable from connections that provide covertext in -// the form of a "GREASE" ECH extension. This property is known informally as -// "don't stick out". Providing this property requires additional padding, which -// this package does not yet implement. +// BUG(cjpatton): Another goal of the ECH extension is that connections that +// middleboxes shouldn't differentiate between the real ECH protocol and the +// "grease ECH" protocol wherein the client generates a dummy ECH extension, +// which the server is expected to ignore. The ECH specification is subject to +// change as this "don't stick out" property is worked out in more detail. -// BUG(cjpatton): The interaction of the ECH extension interacts with PSK has -// not yet been fully vetted. For now, the server disables session tickets if -// ECH is enabled. +// BUG(cjpatton): The interaction of the ECH extension with PSK has not yet been +// fully vetted. For now, the server disables session tickets if ECH is enabled. // BUG(cjpatton): Upon ECH rejection, if retry configurations are provided, then // the client is expected to retry the connection. Otherwise, it may regard ECH @@ -36,8 +36,8 @@ package tls // BUG(cjpatton): If the client offers the ECH extension and the client-facing // server rejects it, then only the client-facing server is authenticated. In -// particular, the client is expected to responds to a CertificateRequest with -// an empty certificate. This package does not yet implement this behavior. +// particular, the client is expected to respond to a CertificateRequest with an +// empty certificate. This package does not yet implement this behavior. // BUG(agl): The crypto/tls package only implements some countermeasures // against Lucky13 attacks on CBC-mode encryption, and only on SHA1 diff --git a/src/go/build/deps_test.go b/src/go/build/deps_test.go index 3150c7dd6b6..f8f91f68fc9 100644 --- a/src/go/build/deps_test.go +++ b/src/go/build/deps_test.go @@ -418,8 +418,6 @@ var depsRules = ` < crypto/x509/internal/macos < crypto/x509/pkix < crypto/x509 - < crypto/tls/internal/syntax # TOOD(cjpatton): Remove this dependency once HPKE is implemented in CIRCL - < crypto/tls/internal/hpke # TODO(cjpatton): Remove this dependency once HPKE is implemented in CIRCL < crypto/tls; # crypto-aware packages From 222153bf89a7a9d70aa774736a8a3704003b0083 Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Sat, 20 Feb 2021 13:55:24 -0800 Subject: [PATCH 15/69] crypto/tls: Consolidate CF-specific logic * Rename EXP_Event to CFEvent. * Move CFEvent implementations to tls_cf.go. * Add CFControl parameter to Config. This value will be used to propagate Cloudflare-internal logic from the TLS configuration to HTTP requests. --- src/crypto/tls/common.go | 28 +++- src/crypto/tls/conn.go | 21 +-- src/crypto/tls/ech.go | 71 +--------- src/crypto/tls/ech_test.go | 14 +- src/crypto/tls/handshake_client_tls13.go | 49 +------ src/crypto/tls/handshake_server_tls13.go | 49 +------ src/crypto/tls/metrics_test.go | 14 +- src/crypto/tls/tls_cf.go | 163 ++++++++++++++++++++++- src/crypto/tls/tls_cf_test.go | 19 +++ src/crypto/tls/tls_test.go | 4 +- 10 files changed, 232 insertions(+), 200 deletions(-) create mode 100644 src/crypto/tls/tls_cf_test.go diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index c340d07d091..f727f2c5740 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -327,6 +327,13 @@ type ConnectionState struct { // accepted by the server. ECHAccepted bool + // CFControl is used to pass additional TLS configuration information to + // HTTP requests. + // + // NOTE: This feature is used to implement Cloudflare-internal features. + // This feature is unstable and applications MUST NOT depend on it. + CFControl interface{} + // ekm is a closure exposed via ExportKeyingMaterial. ekm func(label string, context []byte, length int) ([]byte, error) } @@ -757,12 +764,20 @@ type Config struct { // payload. ServerECHProvider ECHProvider - // EXP_EventHandler, if set, is called by the client and server at various - // points during the handshake to handle specific events. For example, this - // callback can be used to record metrics. + // CFEventHandler, if set, is called by the client and server at various + // points during the handshake to handle specific events. This is used + // primarily for collecting metrics. + // + // NOTE: This feature is used to implement Cloudflare-internal features. + // This feature is unstable and applications MUST NOT depend on it. + CFEventHandler func(event CFEvent) + + // CFControl is used to pass additional TLS configuration information to + // HTTP requests via ConnectionState. // - // NOTE: This API is EXPERIMENTAL and subject to change. - EXP_EventHandler func(event EXP_Event) + // NOTE: This feature is used to implement Cloudflare-internal features. + // This feature is unstable and applications MUST NOT depend on it. + CFControl interface{} // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex @@ -856,7 +871,8 @@ func (c *Config) Clone() *Config { ECHEnabled: c.ECHEnabled, ClientECHConfigs: c.ClientECHConfigs, ServerECHProvider: c.ServerECHProvider, - EXP_EventHandler: c.EXP_EventHandler, + CFEventHandler: c.CFEventHandler, + CFControl: c.CFControl, sessionTicketKeys: c.sessionTicketKeys, autoSessionTicketKeys: c.autoSessionTicketKeys, } diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 06785850948..def03c08155 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -1367,23 +1367,23 @@ func (c *Conn) Close() error { // Resolve ECH status. if !c.isClient && c.config.MaxVersion < VersionTLS13 { - c.handleEvent(EXP_EventECHServerStatus(echStatusBypassed)) + c.handleCFEvent(CFEventECHServerStatus(echStatusBypassed)) } else if !c.ech.offered { if !c.ech.greased { - c.handleEvent(EXP_EventECHClientStatus(echStatusBypassed)) + c.handleCFEvent(CFEventECHClientStatus(echStatusBypassed)) } else { - c.handleEvent(EXP_EventECHClientStatus(echStatusOuter)) + c.handleCFEvent(CFEventECHClientStatus(echStatusOuter)) } } else { - c.handleEvent(EXP_EventECHClientStatus(echStatusInner)) + c.handleCFEvent(CFEventECHClientStatus(echStatusInner)) if !c.ech.accepted { if len(c.ech.retryConfigs) > 0 { - c.handleEvent(EXP_EventECHServerStatus(echStatusOuter)) + c.handleCFEvent(CFEventECHServerStatus(echStatusOuter)) } else { - c.handleEvent(EXP_EventECHServerStatus(echStatusBypassed)) + c.handleCFEvent(CFEventECHServerStatus(echStatusBypassed)) } } else { - c.handleEvent(EXP_EventECHServerStatus(echStatusInner)) + c.handleCFEvent(CFEventECHServerStatus(echStatusInner)) } } @@ -1477,6 +1477,7 @@ func (c *Conn) connectionStateLocked() ConnectionState { state.SignedCertificateTimestamps = c.scts state.OCSPResponse = c.ocspResponse state.ECHAccepted = c.ech.accepted + state.CFControl = c.config.CFControl if !c.didResume && c.vers != VersionTLS13 { if c.clientFinishedIsFirst { state.TLSUnique = c.clientFinished[:] @@ -1523,8 +1524,8 @@ func (c *Conn) handshakeComplete() bool { return atomic.LoadUint32(&c.handshakeStatus) == 1 } -func (c *Conn) handleEvent(event EXP_Event) { - if c.config.EXP_EventHandler != nil { - c.config.EXP_EventHandler(event) +func (c *Conn) handleCFEvent(event CFEvent) { + if c.config.CFEventHandler != nil { + c.config.CFEventHandler(event) } } diff --git a/src/crypto/tls/ech.go b/src/crypto/tls/ech.go index 5e44a78b175..c62780536c4 100644 --- a/src/crypto/tls/ech.go +++ b/src/crypto/tls/ech.go @@ -19,77 +19,8 @@ const ( // Constants for HPKE operations echHpkeInfoConfigId = "tls ech config id" echHpkeInfoSetup = "tls ech" - - // Constants for ECH status events - echStatusBypassed = 1 + iota - echStatusInner - echStatusOuter ) -// EXP_EventECHClientStatus is emitted once it is known whether the client -// bypassed, offered, or greased ECH. -// -// NOTE: This API is EXPERIMENTAL and subject to change. -type EXP_EventECHClientStatus int - -// Bypassed returns true if the client bypassed ECH. -func (e EXP_EventECHClientStatus) Bypassed() bool { - return e == echStatusBypassed -} - -// Offered returns true if the client offered ECH. -func (e EXP_EventECHClientStatus) Offered() bool { - return e == echStatusInner -} - -// Greased returns true if the client greased ECH. -func (e EXP_EventECHClientStatus) Greased() bool { - return e == echStatusOuter -} - -// Name is required by the EXP_Event interface. -func (e EXP_EventECHClientStatus) Name() string { - return "ech client status" -} - -// EXP_EventECHServerStatus is emitted once it is known whether the client -// bypassed, offered, or greased ECH. -// -// NOTE: This API is EXPERIMENTAL and subject to change. -type EXP_EventECHServerStatus int - -// Bypassed returns true if the client bypassed ECH. -func (e EXP_EventECHServerStatus) Bypassed() bool { - return e == echStatusBypassed -} - -// Accepted returns true if the client offered ECH. -func (e EXP_EventECHServerStatus) Accepted() bool { - return e == echStatusInner -} - -// Rejected returns true if the client greased ECH. -func (e EXP_EventECHServerStatus) Rejected() bool { - return e == echStatusOuter -} - -// Name is required by the EXP_Event interface. -func (e EXP_EventECHServerStatus) Name() string { - return "ech server status" -} - -// EXP_EventECHPublicNameMismatch is emitted if the outer SNI does not match -// match the public name of the ECH configuration. Note that we do not record -// the outer SNI in order to avoid collecting this potentially sensitive data. -// -// NOTE: This API is EXPERIMENTAL and subject to change. -type EXP_EventECHPublicNameMismatch struct{} - -// Name is required by the EXP_Event interface. -func (e EXP_EventECHPublicNameMismatch) Name() string { - return "ech public name does not match outer sni" -} - // TODO(cjpatton): "[When offering ECH, the client] MUST NOT offer to resume any // session for TLS 1.2 and below [in ClientHelloInner]." // @@ -332,7 +263,7 @@ func (c *Conn) echAcceptOrReject(hello *clientHelloMsg) (*clientHelloMsg, error) } } if !pubNameMatches { - c.handleEvent(EXP_EventECHPublicNameMismatch{}) + c.handleCFEvent(CFEventECHPublicNameMismatch{}) } } diff --git a/src/crypto/tls/ech_test.go b/src/crypto/tls/ech_test.go index 1155779e5a7..167501759de 100644 --- a/src/crypto/tls/ech_test.go +++ b/src/crypto/tls/ech_test.go @@ -533,21 +533,21 @@ type echTestResult struct { // Operational parameters clientDone, serverDone bool // Results - clientStatus EXP_EventECHClientStatus - serverStatus EXP_EventECHServerStatus + clientStatus CFEventECHClientStatus + serverStatus CFEventECHServerStatus connState ConnectionState err error } -func (r *echTestResult) eventHandler(event EXP_Event) { +func (r *echTestResult) eventHandler(event CFEvent) { switch e := event.(type) { - case EXP_EventECHClientStatus: + case CFEventECHClientStatus: if r.clientDone { panic("expected at most one client ECH status event") } r.clientStatus = e r.clientDone = true - case EXP_EventECHServerStatus: + case CFEventECHServerStatus: if r.serverDone { panic("expected at most one server ECH status event") } @@ -567,7 +567,7 @@ func echTestConn(t *testing.T, clientConfig, serverConfig *Config) (clientRes, s serverCh := make(chan echTestResult, 1) go func() { var res echTestResult - serverConfig.EXP_EventHandler = res.eventHandler + serverConfig.CFEventHandler = res.eventHandler serverConn, err := ln.Accept() if err != nil { res.err = err @@ -593,7 +593,7 @@ func echTestConn(t *testing.T, clientConfig, serverConfig *Config) (clientRes, s res.connState = server.ConnectionState() }() - clientConfig.EXP_EventHandler = clientRes.eventHandler + clientConfig.CFEventHandler = clientRes.eventHandler client, err := Dial("tcp", ln.Addr().String(), clientConfig) if err != nil { serverRes = <-serverCh diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index d0c94dcefd5..d0e0e0d6adf 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -16,51 +16,6 @@ import ( "time" ) -// EXP_EventTLS13ClientHandshakeTimingInfo carries intra-stack time durations -// for TLS 1.3 state machine changes. It can be used for tracking metrics during a -// connection. Some durations may be sensitive, such as the amount of time to -// process a particular handshake message, so this event should only be used -// for experimental purposes. -// -// NOTE: This API is EXPERIMENTAL and subject to change. -type EXP_EventTLS13ClientHandshakeTimingInfo struct { - timer func() time.Time - start time.Time - WriteClientHello time.Duration - ProcessServerHello time.Duration - ReadEncryptedExtensions time.Duration - ReadCertificate time.Duration - ReadCertificateVerify time.Duration - ReadServerFinished time.Duration - WriteCertificate time.Duration - WriteCertificateVerify time.Duration - WriteClientFinished time.Duration -} - -// Name is required by the EXP_Event interface. -func (e EXP_EventTLS13ClientHandshakeTimingInfo) Name() string { - return "TLS13ClientHandshakeTimingInfo" -} - -func (e EXP_EventTLS13ClientHandshakeTimingInfo) elapsedTime() time.Duration { - if e.timer == nil { - return 0 - } - return time.Now().Sub(e.start) -} - -func createTLS13ClientHandshakeTimingInfo(timerFunc func() time.Time) EXP_EventTLS13ClientHandshakeTimingInfo { - timer := time.Now - if timerFunc != nil { - timer = timerFunc - } - - return EXP_EventTLS13ClientHandshakeTimingInfo{ - timer: timer, - start: timer(), - } -} - type clientHandshakeStateTLS13 struct { c *Conn serverHello *serverHelloMsg @@ -82,7 +37,7 @@ type clientHandshakeStateTLS13 struct { masterSecret []byte trafficSecret []byte // client_application_traffic_secret_0 - handshakeTimings EXP_EventTLS13ClientHandshakeTimingInfo + handshakeTimings CFEventTLS13ClientHandshakeTimingInfo } // handshake requires hs.c, hs.hello, hs.serverHello, hs.ecdheParams, and, @@ -158,7 +113,7 @@ func (hs *clientHandshakeStateTLS13) handshake() error { return err } - c.handleEvent(hs.handshakeTimings) + c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index ab8c368ffbf..53d0b2a3d7f 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -22,51 +22,6 @@ import ( // messages cause too much work in session ticket decryption attempts. const maxClientPSKIdentities = 5 -// EXP_EventTLS13ServerHandshakeTimingInfo carries intra-stack time durations -// for TLS 1.3 state machine changes. It can be used for tracking metrics during a -// connection. Some durations may be sensitive, such as the amount of time to -// process a particular handshake message, so this event should only be used -// for experimental purposes. -// -// NOTE: This API is EXPERIMENTAL and subject to change. -type EXP_EventTLS13ServerHandshakeTimingInfo struct { - timer func() time.Time - start time.Time - ProcessClientHello time.Duration - WriteServerHello time.Duration - WriteEncryptedExtensions time.Duration - WriteCertificate time.Duration - WriteCertificateVerify time.Duration - WriteServerFinished time.Duration - ReadCertificate time.Duration - ReadCertificateVerify time.Duration - ReadClientFinished time.Duration -} - -// Name is required by the EXP_Event interface. -func (e EXP_EventTLS13ServerHandshakeTimingInfo) Name() string { - return "TLS13ServerHandshakeTimingInfo" -} - -func (e EXP_EventTLS13ServerHandshakeTimingInfo) elapsedTime() time.Duration { - if e.timer == nil { - return 0 - } - return e.timer().Sub(e.start) -} - -func createTLS13ServerHandshakeTimingInfo(timerFunc func() time.Time) EXP_EventTLS13ServerHandshakeTimingInfo { - timer := time.Now - if timerFunc != nil { - timer = timerFunc - } - - return EXP_EventTLS13ServerHandshakeTimingInfo{ - timer: timer, - start: timer(), - } -} - type serverHandshakeStateTLS13 struct { c *Conn clientHello *clientHelloMsg @@ -84,7 +39,7 @@ type serverHandshakeStateTLS13 struct { transcript hash.Hash clientFinished []byte - handshakeTimings EXP_EventTLS13ServerHandshakeTimingInfo + handshakeTimings CFEventTLS13ServerHandshakeTimingInfo } func (hs *serverHandshakeStateTLS13) handshake() error { @@ -123,7 +78,7 @@ func (hs *serverHandshakeStateTLS13) handshake() error { return err } - c.handleEvent(hs.handshakeTimings) + c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/metrics_test.go b/src/crypto/tls/metrics_test.go index 7cd45337595..10b09d1510a 100644 --- a/src/crypto/tls/metrics_test.go +++ b/src/crypto/tls/metrics_test.go @@ -13,8 +13,8 @@ import ( ) type testTimingInfo struct { - serverTimingInfo EXP_EventTLS13ServerHandshakeTimingInfo - clientTimingInfo EXP_EventTLS13ClientHandshakeTimingInfo + serverTimingInfo CFEventTLS13ServerHandshakeTimingInfo + clientTimingInfo CFEventTLS13ClientHandshakeTimingInfo } func (t testTimingInfo) isMonotonicallyIncreasing() bool { @@ -41,11 +41,11 @@ func (t testTimingInfo) isMonotonicallyIncreasing() bool { return (serverIsMonotonicallyIncreasing && clientIsMonotonicallyIncreasing) } -func (r *testTimingInfo) eventHandler(event EXP_Event) { +func (r *testTimingInfo) eventHandler(event CFEvent) { switch e := event.(type) { - case EXP_EventTLS13ServerHandshakeTimingInfo: + case CFEventTLS13ServerHandshakeTimingInfo: r.serverTimingInfo = e - case EXP_EventTLS13ClientHandshakeTimingInfo: + case CFEventTLS13ClientHandshakeTimingInfo: r.clientTimingInfo = e } } @@ -55,8 +55,8 @@ func runHandshake(t *testing.T, clientConfig, serverConfig *Config) (timingState c, s := localPipe(t) errChan := make(chan error) - clientConfig.EXP_EventHandler = timingState.eventHandler - serverConfig.EXP_EventHandler = timingState.eventHandler + clientConfig.CFEventHandler = timingState.eventHandler + serverConfig.CFEventHandler = timingState.eventHandler go func() { cli := Client(c, clientConfig) diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go index cfc63cde57a..94c95ab33af 100644 --- a/src/crypto/tls/tls_cf.go +++ b/src/crypto/tls/tls_cf.go @@ -1,3 +1,6 @@ +// Copyright 2021 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + package tls import ( @@ -5,6 +8,14 @@ import ( circlSign "circl/sign" "circl/sign/eddilithium3" + "time" +) + +const ( + // Constants for ECH status events. + echStatusBypassed = 1 + iota + echStatusInner + echStatusOuter ) // To add a signature scheme from Circl @@ -46,10 +57,152 @@ func init() { } } -// EXP_Event is a value emitted at various points in the handshake that is -// handled by the callback Config.EventHandler. -// -// NOTE: This API is EXPERIMENTAL and subject to change. -type EXP_Event interface { +// CFEvent is a value emitted at various points in the handshake that is +// handled by the callback Config.CFEventHandler. +type CFEvent interface { Name() string } + +// CFEventTLS13ClientHandshakeTimingInfo carries intra-stack time durations for +// TLS 1.3 client-state machine changes. It can be used for tracking metrics +// during a connection. Some durations may be sensitive, such as the amount of +// time to process a particular handshake message, so this event should only be +// used for experimental purposes. +type CFEventTLS13ClientHandshakeTimingInfo struct { + timer func() time.Time + start time.Time + WriteClientHello time.Duration + ProcessServerHello time.Duration + ReadEncryptedExtensions time.Duration + ReadCertificate time.Duration + ReadCertificateVerify time.Duration + ReadServerFinished time.Duration + WriteCertificate time.Duration + WriteCertificateVerify time.Duration + WriteClientFinished time.Duration +} + +// Name is required by the CFEvent interface. +func (e CFEventTLS13ClientHandshakeTimingInfo) Name() string { + return "TLS13ClientHandshakeTimingInfo" +} + +func (e CFEventTLS13ClientHandshakeTimingInfo) elapsedTime() time.Duration { + if e.timer == nil { + return 0 + } + return e.timer().Sub(e.start) +} + +func createTLS13ClientHandshakeTimingInfo(timerFunc func() time.Time) CFEventTLS13ClientHandshakeTimingInfo { + timer := time.Now + if timerFunc != nil { + timer = timerFunc + } + + return CFEventTLS13ClientHandshakeTimingInfo{ + timer: timer, + start: timer(), + } +} + +// CFEventTLS13ServerHandshakeTimingInfo carries intra-stack time durations +// for TLS 1.3 state machine changes. It can be used for tracking metrics during a +// connection. Some durations may be sensitive, such as the amount of time to +// process a particular handshake message, so this event should only be used +// for experimental purposes. +type CFEventTLS13ServerHandshakeTimingInfo struct { + timer func() time.Time + start time.Time + ProcessClientHello time.Duration + WriteServerHello time.Duration + WriteEncryptedExtensions time.Duration + WriteCertificate time.Duration + WriteCertificateVerify time.Duration + WriteServerFinished time.Duration + ReadCertificate time.Duration + ReadCertificateVerify time.Duration + ReadClientFinished time.Duration +} + +// Name is required by the CFEvent interface. +func (e CFEventTLS13ServerHandshakeTimingInfo) Name() string { + return "TLS13ServerHandshakeTimingInfo" +} + +func (e CFEventTLS13ServerHandshakeTimingInfo) elapsedTime() time.Duration { + if e.timer == nil { + return 0 + } + return e.timer().Sub(e.start) +} + +func createTLS13ServerHandshakeTimingInfo(timerFunc func() time.Time) CFEventTLS13ServerHandshakeTimingInfo { + timer := time.Now + if timerFunc != nil { + timer = timerFunc + } + + return CFEventTLS13ServerHandshakeTimingInfo{ + timer: timer, + start: timer(), + } +} + +// CFEventECHClientStatus is emitted once it is known whether the client +// bypassed, offered, or greased ECH. +type CFEventECHClientStatus int + +// Bypassed returns true if the client bypassed ECH. +func (e CFEventECHClientStatus) Bypassed() bool { + return e == echStatusBypassed +} + +// Offered returns true if the client offered ECH. +func (e CFEventECHClientStatus) Offered() bool { + return e == echStatusInner +} + +// Greased returns true if the client greased ECH. +func (e CFEventECHClientStatus) Greased() bool { + return e == echStatusOuter +} + +// Name is required by the CFEvent interface. +func (e CFEventECHClientStatus) Name() string { + return "ech client status" +} + +// CFEventECHServerStatus is emitted once it is known whether the client +// bypassed, offered, or greased ECH. +type CFEventECHServerStatus int + +// Bypassed returns true if the client bypassed ECH. +func (e CFEventECHServerStatus) Bypassed() bool { + return e == echStatusBypassed +} + +// Accepted returns true if the client offered ECH. +func (e CFEventECHServerStatus) Accepted() bool { + return e == echStatusInner +} + +// Rejected returns true if the client greased ECH. +func (e CFEventECHServerStatus) Rejected() bool { + return e == echStatusOuter +} + +// Name is required by the CFEvent interface. +func (e CFEventECHServerStatus) Name() string { + return "ech server status" +} + +// CFEventECHPublicNameMismatch is emitted if the outer SNI does not match +// match the public name of the ECH configuration. Note that we do not record +// the outer SNI in order to avoid collecting this potentially sensitive data. +type CFEventECHPublicNameMismatch struct{} + +// Name is required by the CFEvent interface. +func (e CFEventECHPublicNameMismatch) Name() string { + return "ech public name does not match outer sni" +} diff --git a/src/crypto/tls/tls_cf_test.go b/src/crypto/tls/tls_cf_test.go new file mode 100644 index 00000000000..53c3becf3df --- /dev/null +++ b/src/crypto/tls/tls_cf_test.go @@ -0,0 +1,19 @@ +package tls + +import ( + "testing" +) + +type testCFControl struct { + flags uint64 +} + +// Check that CFControl is correctly propagated from Config to ConnectionState. +func TestPropagateCFControl(t *testing.T) { + want := uint64(23) + s := Server(nil, &Config{CFControl: &testCFControl{want}}) + got := s.ConnectionState().CFControl.(*testCFControl).flags + if got != want { + t.Errorf("failed to propagate CFControl: got %v; want %v", got, want) + } +} diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index fc95408252c..4d855cefd84 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -789,7 +789,7 @@ func TestCloneNonFuncFields(t *testing.T) { switch fn := typ.Field(i).Name; fn { case "Rand": f.Set(reflect.ValueOf(io.Reader(os.Stdin))) - case "Time", "GetCertificate", "GetConfigForClient", "VerifyPeerCertificate", "VerifyConnection", "GetClientCertificate", "ServerECHProvider", "EXP_EventHandler": + case "Time", "GetCertificate", "GetConfigForClient", "VerifyPeerCertificate", "VerifyConnection", "GetClientCertificate", "ServerECHProvider", "CFEventHandler": // DeepEqual can't compare functions. If you add a // function field to this list, you must also change // TestCloneFuncFields to ensure that the func field is @@ -830,6 +830,8 @@ func TestCloneNonFuncFields(t *testing.T) { f.Set(reflect.ValueOf([]ECHConfig{ECHConfig{}})) case "ECHEnabled": f.Set(reflect.ValueOf(true)) + case "CFControl": + f.Set(reflect.ValueOf(&testCFControl{23})) default: t.Errorf("all fields must be accounted for, but saw unknown field %q", fn) } From d8a24ba9644ee869aa047f6a2aa2f21e3691e3b8 Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Tue, 2 Mar 2021 12:40:12 -0800 Subject: [PATCH 16/69] Add CODEOWNERS file --- CODEOWNERS | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 CODEOWNERS diff --git a/CODEOWNERS b/CODEOWNERS new file mode 100644 index 00000000000..19656ea7bfd --- /dev/null +++ b/CODEOWNERS @@ -0,0 +1,6 @@ +* @armfazh @cjpatton @claucece @Lekensteyn @wbl +src/circl @armfazh +src/crypto/tls @claucece @Lekensteyn +src/crypto/x509 @wbl @cjpatton +src/internal/cpu @armfazh +src/net/http @Lekensteyn From 3323b854a53f546fac82fb94972963eb851839f1 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Wed, 19 Aug 2020 08:39:59 -0500 Subject: [PATCH 17/69] crypto/tls: Implement draft-ietf-tls-subcerts-10 --- src/crypto/tls/auth.go | 70 ++ src/crypto/tls/common.go | 54 ++ src/crypto/tls/conn.go | 6 + src/crypto/tls/delegated_credentials.go | 517 ++++++++++++++ src/crypto/tls/delegated_credentials_test.go | 674 +++++++++++++++++++ src/crypto/tls/generate_cert.go | 10 + src/crypto/tls/handshake_client.go | 8 +- src/crypto/tls/handshake_client_tls13.go | 114 +++- src/crypto/tls/handshake_messages.go | 88 ++- src/crypto/tls/handshake_messages_test.go | 12 + src/crypto/tls/handshake_server.go | 20 +- src/crypto/tls/handshake_server_tls13.go | 98 ++- src/crypto/tls/tls.go | 14 + src/crypto/tls/tls_test.go | 11 +- src/crypto/x509/verify_test.go | 15 +- src/crypto/x509/x509.go | 27 + src/crypto/x509/x509_test.go | 42 ++ 17 files changed, 1745 insertions(+), 35 deletions(-) create mode 100644 src/crypto/tls/delegated_credentials.go create mode 100644 src/crypto/tls/delegated_credentials_test.go diff --git a/src/crypto/tls/auth.go b/src/crypto/tls/auth.go index 9d3efe2d71e..7d92a7fbca5 100644 --- a/src/crypto/tls/auth.go +++ b/src/crypto/tls/auth.go @@ -196,6 +196,8 @@ var rsaSignatureSchemes = []struct { // and optionally filtered by its explicit SupportedSignatureAlgorithms. // // This function must be kept in sync with supportedSignatureAlgorithms. +// NOTE: for the PQ KEM exp or using Delegated Credentials, it must be kept in +// sync with supportedSignatureAlgorithmsDC. func signatureSchemesForCertificate(version uint16, cert *Certificate) []SignatureScheme { priv, ok := cert.PrivateKey.(crypto.Signer) if !ok { @@ -259,6 +261,74 @@ func signatureSchemesForCertificate(version uint16, cert *Certificate) []Signatu return sigAlgs } +// signatureSchemeForDelegatedCredential returns the list of supported +// SignatureSchemes for a given delegated credential, based on the public +// key, and optionally filtered by its explicit +// SupportedSignatureAlgorithmsDC. +// +// This function must be kept in sync with supportedSignatureAlgorithmsDC. +func signatureSchemeForDelegatedCredential(version uint16, dc *DelegatedCredential) []SignatureScheme { + pub := dc.cred.publicKey + + var sigAlgs []SignatureScheme + switch pub.(type) { + case *ecdsa.PublicKey: + pk, ok := pub.(*ecdsa.PublicKey) + if !ok { + return nil + } + switch pk.Curve { + case elliptic.P256(): + sigAlgs = []SignatureScheme{ECDSAWithP256AndSHA256} + case elliptic.P384(): + sigAlgs = []SignatureScheme{ECDSAWithP384AndSHA384} + case elliptic.P521(): + sigAlgs = []SignatureScheme{ECDSAWithP521AndSHA512} + default: + return nil + } + case ed25519.PublicKey: + sigAlgs = []SignatureScheme{Ed25519} + case circlSign.PublicKey: + pk, ok := pub.(circlSign.PublicKey) + if !ok { + return nil + } + scheme := pk.Scheme() + tlsScheme, ok := scheme.(circlPki.TLSScheme) + if !ok { + return nil + } + sigAlgs = []SignatureScheme{SignatureScheme(tlsScheme.TLSIdentifier())} + default: + return nil + } + + return sigAlgs +} + +// selectSignatureSchemeDC picks a SignatureScheme from the peer's preference list +// that works with the selected delegated credential. It's only called for protocol +// versions that support delegated credential, so TLS 1.3. +func selectSignatureSchemeDC(vers uint16, dc *DelegatedCredential, peerAlgs []SignatureScheme) (SignatureScheme, error) { + if vers != VersionTLS13 { + return 0, errors.New("unsupported TLS version for dc") + } + + supportedAlgs := signatureSchemeForDelegatedCredential(vers, dc) + if len(supportedAlgs) == 0 { + return 0, errors.New("unsupported scheme for dc") + } + // Pick signature scheme in the peer's preference order, as our + // preference order is not configurable. + for _, preferredAlg := range peerAlgs { + if isSupportedSignatureAlgorithm(preferredAlg, supportedAlgs) { + return preferredAlg, nil + } + } + return 0, errors.New("tls: peer doesn't support any of the delegated credential's signature algorithms") +} + // selectSignatureScheme picks a SignatureScheme from the peer's preference list // that works with the selected certificate. It's only called for protocol // versions that support signature algorithms, so TLS 1.2 and 1.3. diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index f727f2c5740..8bb288e1674 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -92,6 +92,7 @@ const ( extensionSignatureAlgorithms uint16 = 13 extensionALPN uint16 = 16 extensionSCT uint16 = 18 + extensionDelegatedCredentials uint16 = 34 extensionSessionTicket uint16 = 35 extensionPreSharedKey uint16 = 41 extensionEarlyData uint16 = 42 @@ -196,6 +197,16 @@ var supportedSignatureAlgorithms = []SignatureScheme{ ECDSAWithSHA1, } +// supportedSignatureAlgorithmsDC contains the signature and hash algorithms that +// the code advertises as supported in a TLS 1.3 ClientHello and in a TLS 1.3 +// CertificateRequest. This excludes 'rsa_pss_rsae_' algorithms. +var supportedSignatureAlgorithmsDC = []SignatureScheme{ + ECDSAWithP256AndSHA256, + Ed25519, + ECDSAWithP384AndSHA384, + ECDSAWithP521AndSHA512, +} + // helloRetryRequestRandom is set as the Random value of a ServerHello // to signal that the message is actually a HelloRetryRequest. var helloRetryRequestRandom = []byte{ // See RFC 8446, Section 4.1.3. @@ -306,6 +317,11 @@ type ConnectionState struct { // (and the peer provided a certificate) or RequireAndVerifyClientCert. VerifiedChains [][]*x509.Certificate + // VerifiedDC indicates that the Delegated Credential sent by the peer (if advertised + // and correctly processed), which has been verified against the leaf certificate, + // has been used. + VerifiedDC bool + // SignedCertificateTimestamps is a list of SCTs provided by the peer // through the TLS handshake for the leaf certificate, if any. SignedCertificateTimestamps [][]byte @@ -479,6 +495,12 @@ type ClientHelloInfo struct { // Algorithms Extension is being used (see RFC 5246, Section 7.4.1.4.1). SignatureSchemes []SignatureScheme + // SignatureSchemesDC lists the signature schemes that the client + // is willing to verify when using Delegated Credentials. + // This can be different from SignatureSchemes. + // If Delegated Credentials are supported, this list should not be nil. + SignatureSchemesDC []SignatureScheme + // SupportedProtos lists the application protocols supported by the client. // SupportedProtos is set only if the Application-Layer Protocol // Negotiation Extension is being used (see RFC 7301, Section 3.1). @@ -493,6 +515,10 @@ type ClientHelloInfo struct { // might be rejected if used. SupportedVersions []uint16 + // SupportDelegatedCredential is true if the client indicated willingness + // to negotiate the Delegated Credential extension. + SupportsDelegatedCredential bool + // Conn is the underlying net.Conn for the connection. Do not read // from, or write to, this connection; that will cause the TLS // connection to fail. @@ -513,10 +539,18 @@ type CertificateRequestInfo struct { // empty slice indicates that the server has no preference. AcceptableCAs [][]byte + // SupportDelegatedCredential is true if the server indicated willingness + // to negotiate the Delegated Credential extension. + SupportsDelegatedCredential bool + // SignatureSchemes lists the signature schemes that the server is // willing to verify. SignatureSchemes []SignatureScheme + // SignatureSchemesDC lists the signature schemes that the server + // is willing to verify when using Delegated Credentials. + SignatureSchemesDC []SignatureScheme + // Version is the TLS version that was negotiated for this connection. Version uint16 } @@ -779,6 +813,20 @@ type Config struct { // This feature is unstable and applications MUST NOT depend on it. CFControl interface{} + // SupportDelegatedCredential is true if the client or server is willing + // to negotiate the delegated credential extension. + // This can only be used with TLS 1.3. + // + // See https://tools.ietf.org/html/draft-ietf-tls-subcerts. + SupportDelegatedCredential bool + + // GetDelegatedCredential returns a DelegatedCredential for use with the + // delegated credential extension based on the ClientHello. It only works + // with TLS 1.3. If this is nil, then the server will not offer + // a DelegatedCredential. If the call returns nil, the server is also + // not offering a DelegatedCredential. + GetDelegatedCredential func(*ClientHelloInfo, *CertificateRequestInfo) (*DelegatedCredential, crypto.PrivateKey, error) + // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex // sessionTicketKeys contains zero or more ticket keys. If set, it means the @@ -868,6 +916,8 @@ func (c *Config) Clone() *Config { DynamicRecordSizingDisabled: c.DynamicRecordSizingDisabled, Renegotiation: c.Renegotiation, KeyLogWriter: c.KeyLogWriter, + SupportDelegatedCredential: c.SupportDelegatedCredential, + GetDelegatedCredential: c.GetDelegatedCredential, ECHEnabled: c.ECHEnabled, ClientECHConfigs: c.ClientECHConfigs, ServerECHProvider: c.ServerECHProvider, @@ -1429,6 +1479,10 @@ type Certificate struct { // SignedCertificateTimestamps contains an optional list of Signed // Certificate Timestamps which will be served to clients that request it. SignedCertificateTimestamps [][]byte + // DelegatedCredential is a serialized Delegated Credential, signed by + // the leaf certificate. + // If not supported, this will be nil. + DelegatedCredential []byte // Leaf is the parsed form of the leaf certificate, which may be initialized // using x509.ParseCertificate to reduce per-handshake processing. If nil, // the leaf certificate will be parsed as needed. diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index def03c08155..0867c23c560 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -52,6 +52,9 @@ type Conn struct { // verifiedChains contains the certificate chains that we built, as // opposed to the ones presented by the server. verifiedChains [][]*x509.Certificate + // verifiedDC contains the Delegated Credential sent by the peer (if advertised + // and correctly processed), which has been verified against the leaf certificate. + verifiedDC *DelegatedCredential // serverName contains the server name indicated by the client, if any. serverName string // secureRenegotiation is true if the server echoed the secure @@ -1474,6 +1477,9 @@ func (c *Conn) connectionStateLocked() ConnectionState { state.CipherSuite = c.cipherSuite state.PeerCertificates = c.peerCertificates state.VerifiedChains = c.verifiedChains + if c.verifiedDC != nil { + state.VerifiedDC = true + } state.SignedCertificateTimestamps = c.scts state.OCSPResponse = c.ocspResponse state.ECHAccepted = c.ech.accepted diff --git a/src/crypto/tls/delegated_credentials.go b/src/crypto/tls/delegated_credentials.go new file mode 100644 index 00000000000..1fae172d2eb --- /dev/null +++ b/src/crypto/tls/delegated_credentials.go @@ -0,0 +1,517 @@ +// Copyright 2020-2021 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + +package tls + +// Delegated Credentials for TLS +// (https://tools.ietf.org/html/draft-ietf-tls-subcerts) is an IETF Internet +// draft and proposed TLS extension. If the client or server supports this +// extension, then the server or client may use a "delegated credential" as the +// signing key in the handshake. A delegated credential is a short lived +// public/secret key pair delegated to the peer by an entity trusted by the +// corresponding peer. This allows a reverse proxy to terminate a TLS connection +// on behalf of the entity. Credentials can't be revoked; in order to +// mitigate risk in case the reverse proxy is compromised, the credential is only +// valid for a short time (days, hours, or even minutes). + +import ( + "bytes" + "crypto" + "crypto/ecdsa" + "crypto/ed25519" + "crypto/elliptic" + "crypto/rand" + "crypto/x509" + "encoding/binary" + "errors" + "fmt" + "io" + "time" + + "golang.org/x/crypto/cryptobyte" +) + +const ( + // In the absence of an application profile standard specifying otherwise, + // the maximum validity period is set to 7 days. + dcMaxTTLSeconds = 60 * 60 * 24 * 7 + dcMaxTTL = time.Duration(dcMaxTTLSeconds * time.Second) + dcMaxPubLen = (1 << 24) - 1 // Bytes + dcMaxSignatureLen = (1 << 16) - 1 // Bytes +) + +var extensionDelegatedCredential = []int{1, 3, 6, 1, 4, 1, 44363, 44} + +// isValidForDelegation returns true if a certificate can be used for Delegated +// Credentials. +func isValidForDelegation(cert *x509.Certificate) bool { + // Check that the digitalSignature key usage is set. + // The certificate must contains the digitalSignature KeyUsage. + if (cert.KeyUsage & x509.KeyUsageDigitalSignature) == 0 { + return false + } + + // Check that the certificate has the DelegationUsage extension and that + // it's marked as non-critical (See Section 4.2 of RFC5280). + for _, extension := range cert.Extensions { + if extension.Id.Equal(extensionDelegatedCredential) { + if extension.Critical { + return false + } + return true + } + } + + return false +} + +// isExpired returns true if the credential has expired. The end of the validity +// interval is defined as the delegator certificate's notBefore field ('start') +// plus dc.cred.validTime seconds. This function simply checks that the current time +// ('now') is before the end of the validity interval. +func (dc *DelegatedCredential) isExpired(start, now time.Time) bool { + end := start.Add(dc.cred.validTime) + return !now.Before(end) +} + +// invalidTTL returns true if the credential's validity period is longer than the +// maximum permitted. This is defined by the certificate's notBefore field +// ('start') plus the dc.validTime, minus the current time ('now'). +func (dc *DelegatedCredential) invalidTTL(start, now time.Time) bool { + return dc.cred.validTime > (now.Sub(start) + dcMaxTTL).Round(time.Second) +} + +// credential stores the public components of a Delegated Credential. +type credential struct { + // The amount of time for which the credential is valid. Specifically, the + // the credential expires 'validTime' seconds after the 'notBefore' of the + // delegation certificate. The delegator shall not issue Delegated + // Credentials that are valid for more than 7 days from the current time. + // + // When this data structure is serialized, this value is converted to a + // uint32 representing the duration in seconds. + validTime time.Duration + // The signature scheme associated with the credential public key. + // This is expected to be the same as the CertificateVerify.algorithm + // sent by the client or server. + expCertVerfAlgo SignatureScheme + // The credential's public key. + publicKey crypto.PublicKey +} + +// DelegatedCredential stores a Delegated Credential with the credential and its +// signature. +type DelegatedCredential struct { + // The serialized form of the Delegated Credential. + raw []byte + + // Cred stores the public components of a Delegated Credential. + cred *credential + + // The signature scheme used to sign the Delegated Credential. + algorithm SignatureScheme + + // The Credential's delegation: a signature that binds the credential to + // the end-entity certificate's public key. + signature []byte +} + +// marshalPublicKeyInfo returns a DER encoded PublicKeyInfo +// from a Delegated Credential (as defined in the X.509 standard). +// The following key types are currently supported: *ecdsa.PublicKey +// and ed25519.PublicKey. Unsupported key types result in an error. +// rsa.PublicKey is not supported as defined by the draft. +func (cred *credential) marshalPublicKeyInfo() ([]byte, error) { + switch cred.expCertVerfAlgo { + case ECDSAWithP256AndSHA256, + ECDSAWithP384AndSHA384, + ECDSAWithP521AndSHA512, + Ed25519: + rawPub, err := x509.MarshalPKIXPublicKey(cred.publicKey) + if err != nil { + return nil, err + } + + return rawPub, nil + default: + return nil, fmt.Errorf("tls: unsupported signature scheme: 0x%04x", cred.expCertVerfAlgo) + } +} + +// marshal encodes the credential struct of the Delegated Credential. +func (cred *credential) marshal() ([]byte, error) { + var b cryptobyte.Builder + + b.AddUint32(uint32(cred.validTime / time.Second)) + b.AddUint16(uint16(cred.expCertVerfAlgo)) + + // Encode the public key + rawPub, err := cred.marshalPublicKeyInfo() + if err != nil { + return nil, err + } + // Assert that the public key encoding is no longer than 2^24-1 bytes. + if len(rawPub) > dcMaxPubLen { + return nil, errors.New("tls: public key length exceeds 2^24-1 limit") + } + + b.AddUint24(uint32(len(rawPub))) + b.AddBytes(rawPub) + + raw := b.BytesOrPanic() + return raw, nil +} + +// unmarshalCredential decodes serialized bytes and returns a credential, if possible. +func unmarshalCredential(raw []byte) (*credential, error) { + if len(raw) < 10 { + return nil, errors.New("tls: Delegated Credential is not valid: invalid length") + } + + s := cryptobyte.String(raw) + var t uint32 + if !s.ReadUint32(&t) { + return nil, errors.New("tls: Delegated Credential is not valid") + } + validTime := time.Duration(t) * time.Second + + var pubAlgo uint16 + if !s.ReadUint16(&pubAlgo) { + return nil, errors.New("tls: Delegated Credential is not valid") + } + algo := SignatureScheme(pubAlgo) + + var pubLen uint32 + s.ReadUint24(&pubLen) + + pubKey, err := x509.ParsePKIXPublicKey(s) + if err != nil { + return nil, err + } + + return &credential{validTime, algo, pubKey}, nil +} + +// getCredentialLen returns the number of bytes comprising the serialized +// credential struct inside the Delegated Credential. +func getCredentialLen(raw []byte) (int, error) { + if len(raw) < 10 { + return 0, errors.New("tls: Delegated Credential is not valid") + } + + var read []byte + s := cryptobyte.String(raw) + s.ReadBytes(&read, 6) + + var pubLen uint32 + s.ReadUint24(&pubLen) + if !(pubLen > 0) { + return 0, errors.New("tls: Delegated Credential is not valid") + } + + raw = raw[6:] + if len(raw) < int(pubLen) { + return 0, errors.New("tls: Delegated Credential is not valid") + } + + return 9 + int(pubLen), nil +} + +// getHash maps the SignatureScheme to its corresponding hash function. +func getHash(scheme SignatureScheme) crypto.Hash { + switch scheme { + case ECDSAWithP256AndSHA256: + return crypto.SHA256 + case ECDSAWithP384AndSHA384: + return crypto.SHA384 + case ECDSAWithP521AndSHA512: + return crypto.SHA512 + case Ed25519: + return directSigning + default: + return 0 //Unknown hash function + } +} + +// getECDSACurve maps the SignatureScheme to its corresponding ecdsa elliptic.Curve. +func getECDSACurve(scheme SignatureScheme) elliptic.Curve { + switch scheme { + case ECDSAWithP256AndSHA256: + return elliptic.P256() + case ECDSAWithP384AndSHA384: + return elliptic.P384() + case ECDSAWithP521AndSHA512: + return elliptic.P521() + default: + return nil + } +} + +// prepareDelegationSignatureInput returns the message that the delegator is going to sign. +func prepareDelegationSignatureInput(hash crypto.Hash, cred *credential, dCert []byte, algo SignatureScheme, isClient bool) ([]byte, error) { + header := make([]byte, 64) + for i := range header { + header[i] = 0x20 + } + + var context string + if !isClient { + context = "TLS, server delegated credentials\x00" + } else { + context = "TLS, client delegated credentials\x00" + } + + rawCred, err := cred.marshal() + if err != nil { + return nil, err + } + + var rawAlgo [2]byte + binary.BigEndian.PutUint16(rawAlgo[:], uint16(algo)) + + if hash == directSigning { + b := &bytes.Buffer{} + b.Write(header) + io.WriteString(b, context) + b.Write(dCert) + b.Write(rawCred) + b.Write(rawAlgo[:]) + return b.Bytes(), nil + } + + h := hash.New() + h.Write(header) + io.WriteString(h, context) + h.Write(dCert) + h.Write(rawCred) + h.Write(rawAlgo[:]) + return h.Sum(nil), nil +} + +// Extract the algorithm used to sign the Delegated Credential from the +// end-entity (leaf) certificate. +func getSignatureAlgorithm(cert *Certificate) (SignatureScheme, error) { + var sigAlgo SignatureScheme + switch sk := cert.PrivateKey.(type) { + case *ecdsa.PrivateKey: + pk := sk.Public().(*ecdsa.PublicKey) + curveName := pk.Curve.Params().Name + certAlg := cert.Leaf.SignatureAlgorithm + if certAlg == x509.ECDSAWithSHA256 && curveName == "P-256" { + sigAlgo = ECDSAWithP256AndSHA256 + } else if certAlg == x509.ECDSAWithSHA384 && curveName == "P-384" { + sigAlgo = ECDSAWithP384AndSHA384 + } else if certAlg == x509.ECDSAWithSHA512 && curveName == "P-521" { + sigAlgo = ECDSAWithP521AndSHA512 + } else { + return SignatureScheme(0x00), fmt.Errorf("using curve %s for %s is not supported", curveName, cert.Leaf.SignatureAlgorithm) + } + case ed25519.PrivateKey: + sigAlgo = Ed25519 + default: + return SignatureScheme(0x00), fmt.Errorf("tls: unsupported algorithm for Delegated Credential") + } + + return sigAlgo, nil +} + +// NewDelegatedCredential creates a new Delegated Credential using 'cert' for +// delegation, depending if the caller is the client or the server (defined by +// 'isClient'). It generates a public/private key pair for the provided signature +// algorithm ('pubAlgo') and it defines a validity interval (defined +// by 'cert.Leaf.notBefore' and 'validTime'). It signs the Delegated Credential +// using 'cert.PrivateKey'. +func NewDelegatedCredential(cert *Certificate, pubAlgo SignatureScheme, validTime time.Duration, isClient bool) (*DelegatedCredential, crypto.PrivateKey, error) { + // The granularity of DC validity is seconds. + validTime = validTime.Round(time.Second) + + // Parse the leaf certificate if needed. + var err error + if cert.Leaf == nil { + if len(cert.Certificate[0]) == 0 { + return nil, nil, errors.New("tls: missing leaf certificate for Delegated Credential") + } + cert.Leaf, err = x509.ParseCertificate(cert.Certificate[0]) + if err != nil { + return nil, nil, err + } + } + + // Check that the leaf certificate can be used for delegation. + if !isValidForDelegation(cert.Leaf) { + return nil, nil, errors.New("tls: certificate not authorized for delegation") + } + + sigAlgo, err := getSignatureAlgorithm(cert) + if err != nil { + return nil, nil, err + } + + // Generate the Delegated Credential key pair based on the provided scheme + var privK crypto.PrivateKey + var pubK crypto.PublicKey + switch pubAlgo { + case ECDSAWithP256AndSHA256, + ECDSAWithP384AndSHA384, + ECDSAWithP521AndSHA512: + privK, err = ecdsa.GenerateKey(getECDSACurve(pubAlgo), rand.Reader) + if err != nil { + return nil, nil, err + } + pubK = privK.(*ecdsa.PrivateKey).Public() + case Ed25519: + pubK, privK, err = ed25519.GenerateKey(rand.Reader) + if err != nil { + return nil, nil, err + } + default: + return nil, nil, fmt.Errorf("tls: unsupported algorithm for Delegated Credential: %T", pubAlgo) + } + + // Prepare the credential for signing + hash := getHash(sigAlgo) + credential := &credential{validTime, pubAlgo, pubK} + values, err := prepareDelegationSignatureInput(hash, credential, cert.Leaf.Raw, sigAlgo, isClient) + if err != nil { + return nil, nil, err + } + + var sig []byte + switch sk := cert.PrivateKey.(type) { + case *ecdsa.PrivateKey: + opts := crypto.SignerOpts(hash) + sig, err = sk.Sign(rand.Reader, values, opts) + if err != nil { + return nil, nil, err + } + case ed25519.PrivateKey: + opts := crypto.SignerOpts(hash) + sig, err = sk.Sign(rand.Reader, values, opts) + if err != nil { + return nil, nil, err + } + default: + return nil, nil, fmt.Errorf("tls: unsupported key type for Delegated Credential") + } + + if len(sig) > dcMaxSignatureLen { + return nil, nil, errors.New("tls: unable to create a Delegated Credential") + } + + return &DelegatedCredential{ + cred: credential, + algorithm: sigAlgo, + signature: sig, + }, privK, nil +} + +// Validate validates the Delegated Credential by checking that the signature is +// valid, that it hasn't expired, and that the TTL is valid. It also checks that +// certificate can be used for delegation. +func (dc *DelegatedCredential) Validate(cert *x509.Certificate, isClient bool, now time.Time, certVerifyMsg *certificateVerifyMsg) bool { + if dc.isExpired(cert.NotBefore, now) { + return false + } + + if dc.invalidTTL(cert.NotBefore, now) { + return false + } + + if dc.cred.expCertVerfAlgo != certVerifyMsg.signatureAlgorithm { + return false + } + + if !isValidForDelegation(cert) { + return false + } + + hash := getHash(dc.algorithm) + in, err := prepareDelegationSignatureInput(hash, dc.cred, cert.Raw, dc.algorithm, isClient) + if err != nil { + return false + } + + switch dc.algorithm { + case ECDSAWithP256AndSHA256, + ECDSAWithP384AndSHA384, + ECDSAWithP521AndSHA512: + pk, ok := cert.PublicKey.(*ecdsa.PublicKey) + if !ok { + return false + } + + return ecdsa.VerifyASN1(pk, in, dc.signature) + case Ed25519: + pk, ok := cert.PublicKey.(ed25519.PublicKey) + if !ok { + return false + } + + return ed25519.Verify(pk, in, dc.signature) + default: + return false + } +} + +// marshal encodes a DelegatedCredential structure. It also sets dc.Raw to that +// encoding. +func (dc *DelegatedCredential) marshal() ([]byte, error) { + if len(dc.signature) > dcMaxSignatureLen { + return nil, errors.New("tls: delegated credential is not valid") + } + + raw, err := dc.cred.marshal() + if err != nil { + return nil, err + } + + var b cryptobyte.Builder + b.AddBytes(raw) + b.AddUint16(uint16(dc.algorithm)) + b.AddUint16(uint16(len(dc.signature))) + b.AddBytes(dc.signature) + + dc.raw = b.BytesOrPanic() + return dc.raw, nil +} + +// unmarshalDelegatedCredential decodes a DelegatedCredential structure. +func unmarshalDelegatedCredential(raw []byte) (*DelegatedCredential, error) { + rawCredentialLen, err := getCredentialLen(raw) + if err != nil { + return nil, err + } + + credential, err := unmarshalCredential(raw[:rawCredentialLen]) + if err != nil { + return nil, err + } + + raw = raw[rawCredentialLen:] + if len(raw) < 4 { + return nil, errors.New("tls: Delegated Credential is not valid") + } + + s := cryptobyte.String(raw) + + var algo uint16 + if !s.ReadUint16(&algo) { + return nil, errors.New("tls: Delegated Credential is not valid") + } + + var rawSignatureLen uint16 + if !s.ReadUint16(&rawSignatureLen) { + return nil, errors.New("tls: Delegated Credential is not valid") + } + + var sig []byte + if !s.ReadBytes(&sig, int(rawSignatureLen)) { + return nil, errors.New("tls: Delegated Credential is not valid") + } + + return &DelegatedCredential{ + cred: credential, + algorithm: SignatureScheme(algo), + signature: sig, + }, nil +} diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go new file mode 100644 index 00000000000..5578b2ccec9 --- /dev/null +++ b/src/crypto/tls/delegated_credentials_test.go @@ -0,0 +1,674 @@ +// Copyright 2020-2021 Cloudflare, Inc. All rights reserved. Use of this source code +// is governed by a BSD-style license that can be found in the LICENSE file. + +package tls + +import ( + "bytes" + "crypto" + "crypto/ecdsa" + "crypto/ed25519" + "crypto/elliptic" + "crypto/x509" + "errors" + "fmt" + "math/rand" + "testing" + "time" +) + +// dcAndPrivateKey stores a Delegated Credential and its corresponding private +// key. +type dcAndPrivateKey struct { + *DelegatedCredential + privateKey crypto.PrivateKey +} + +// These test keys were generated with the following program, available in the +// crypto/tls directory: +// +// go run generate_cert.go -ecdsa-curve P256 -host 127.0.0.1 -allowDC +// +var delegatorCertPEMP256 = `-----BEGIN CERTIFICATE----- +MIIBejCCAR+gAwIBAgIQKEg6iMq02QUu7QZSZJ/qjzAKBggqhkjOPQQDAjASMRAw +DgYDVQQKEwdBY21lIENvMB4XDTIxMDIyNzAwMTYwMVoXDTIyMDIyNzAwMTYwMVow +EjEQMA4GA1UEChMHQWNtZSBDbzBZMBMGByqGSM49AgEGCCqGSM49AwEHA0IABJTe +bU0Yny6aMvae3zlNj135l7XSzqPDZjYh1PqIqY/P2N5PPmD06fHQ2D7xZRUw/a5z +W7KMwRVXrvur+TVn4+GjVzBVMA4GA1UdDwEB/wQEAwIHgDATBgNVHSUEDDAKBggr +BgEFBQcDATAMBgNVHRMBAf8EAjAAMA8GCSsGAQQBgtpLLAQCBQAwDwYDVR0RBAgw +BocEfwAAATAKBggqhkjOPQQDAgNJADBGAiEAvkorBgZm6GidD0Z7tcAJWRq+2YOQ +GVclN1Z1CDljQIoCIQDUlTAqDyRpNJ9ntCHEdOQYe1LfAkJHasok5yCRHC1o8w== +-----END CERTIFICATE----- +` + +var delegatorKeyPEMP256 = `-----BEGIN EC PRIVATE KEY----- +MIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQg4OgO7q8sUUZaYjEp +JuLzlXH0qmTZ1k3UHgPYbAmRFOWhRANCAASU3m1NGJ8umjL2nt85TY9d+Ze10s6j +w2Y2IdT6iKmPz9jeTz5g9Onx0Ng+8WUVMP2uc1uyjMEVV677q/k1Z+Ph +-----END EC PRIVATE KEY----- +` + +// go run generate_cert.go -ecdsa-curve P384 -host 127.0.0.1 -allowDC + +var delegatorCertPEMP384 = `-----BEGIN CERTIFICATE----- +MIIBtzCCATygAwIBAgIQYhD6ucKVx53ZfdRCJkPy3DAKBggqhkjOPQQDAzASMRAw +DgYDVQQKEwdBY21lIENvMB4XDTIxMDIyNzAwMTYzOFoXDTIyMDIyNzAwMTYzOFow +EjEQMA4GA1UEChMHQWNtZSBDbzB2MBAGByqGSM49AgEGBSuBBAAiA2IABHNmyki5 +Xxfmxxrk4QRoXfU7hk0o2gJWTkCUAyzlVNcSaUTHub64v2cwn9/LbbooFBlhwz4n +n706yHtzmSQHTkCKmcG2LwS75U+ZajzPXKoSqazGhapBLQb7R7A+uRQGvqNXMFUw +DgYDVR0PAQH/BAQDAgeAMBMGA1UdJQQMMAoGCCsGAQUFBwMBMAwGA1UdEwEB/wQC +MAAwDwYJKwYBBAGC2kssBAIFADAPBgNVHREECDAGhwR/AAABMAoGCCqGSM49BAMD +A2kAMGYCMQDIOr2c+CckkU48HqcFiyzPkYWUUeytqmzOg3QDOu6U0jfmi1Xb9dda +pytx77nIUucCMQDD9uVr1UeKGC3Iv0VIHw+tjBzTUg9iToG+PPIlnP+duIBjFQcl +FkeNmqTC8510USo= +-----END CERTIFICATE----- +` + +var delegatorKeyPEMP384 = `-----BEGIN EC PRIVATE KEY----- +MIG2AgEAMBAGByqGSM49AgEGBSuBBAAiBIGeMIGbAgEBBDA1ouSiH174RBEvZBch +QQnl5iYWTpdCa+EHjexYzhQ9HHMcU7nKCk7OXRod3kAVcUahZANiAARzZspIuV8X +5sca5OEEaF31O4ZNKNoCVk5AlAMs5VTXEmlEx7m+uL9nMJ/fy226KBQZYcM+J5+9 +Osh7c5kkB05AipnBti8Eu+VPmWo8z1yqEqmsxoWqQS0G+0ewPrkUBr4= +-----END EC PRIVATE KEY----- +` + +// go run generate_cert.go -ecdsa-curve P521 -host 127.0.0.1 -allowDC + +var delegatorCertPEMP521 = `-----BEGIN CERTIFICATE----- +MIICATCCAWKgAwIBAgIQJq2J2jQNbTUbhfjk0PT8/TAKBggqhkjOPQQDBDASMRAw +DgYDVQQKEwdBY21lIENvMB4XDTIxMDIyNzAwMTcxN1oXDTIyMDIyNzAwMTcxN1ow +EjEQMA4GA1UEChMHQWNtZSBDbzCBmzAQBgcqhkjOPQIBBgUrgQQAIwOBhgAEAM3n +1xAxRLYhnDNRqc0onmNM9Ik0Jcja6e0bYa9mo0oV/y5DPeML3UJB1CNImFpAkx62 +wLiZmk/BhcPS0EstLAwXATBkb/q0fbKUZXFHd4gr5spRfAosXz5vg1VLeKHqpUku +tyJjgdFvuBZzmp2olqGKbBSKUElvDFkZWkZk5uGEnCsIo1cwVTAOBgNVHQ8BAf8E +BAMCB4AwEwYDVR0lBAwwCgYIKwYBBQUHAwEwDAYDVR0TAQH/BAIwADAPBgkrBgEE +AYLaSywEAgUAMA8GA1UdEQQIMAaHBH8AAAEwCgYIKoZIzj0EAwQDgYwAMIGIAkIB +TVEJrlJkxqs0adMPKg5D1EQDGy4dUz4YSWc0VXFOV7TKFDhjo1Abs3SYNXPsgAgT +Ol8BhJ2gFUhgHBP8BiJqPUYCQgFWXEe6AfKPyAUcNH28pIavfhxeGc0DGE4Xux0w +/vWpDdT89YxJmQC1roSaXRwEW1GBXL41h5rMMklGqkkfnCW2SQ== +-----END CERTIFICATE----- +` + +var delegatorKeyPEMP521 = `-----BEGIN EC PRIVATE KEY----- +MIHuAgEAMBAGByqGSM49AgEGBSuBBAAjBIHWMIHTAgEBBEIA4X72HzMvgBj//dX/ +SLkA2+oQ93l2eB2jXVRFST/mQj5NSSt8TNcIqW+TaxSejst7+jAQgnH2Zrith8zK +r2/Gy/6hgYkDgYYABADN59cQMUS2IZwzUanNKJ5jTPSJNCXI2untG2GvZqNKFf8u +Qz3jC91CQdQjSJhaQJMetsC4mZpPwYXD0tBLLSwMFwEwZG/6tH2ylGVxR3eIK+bK +UXwKLF8+b4NVS3ih6qVJLrciY4HRb7gWc5qdqJahimwUilBJbwxZGVpGZObhhJwr +CA== +-----END EC PRIVATE KEY----- +` + +// go run generate_cert.go -ed25519 -host 127.0.0.1 -allowDC + +var delegatorCertPEMEd25519 = `-----BEGIN CERTIFICATE----- +MIIBOTCB7KADAgECAhEAzk3wRF7IPMF07CnnLbQEbDAFBgMrZXAwEjEQMA4GA1UE +ChMHQWNtZSBDbzAeFw0yMTAyMjcwMDE4MTVaFw0yMjAyMjcwMDE4MTVaMBIxEDAO +BgNVBAoTB0FjbWUgQ28wKjAFBgMrZXADIQD+aRKJTaCG+yEz/w3lLhglSTsxyPl4 +FepwdCUXDxj2oKNXMFUwDgYDVR0PAQH/BAQDAgeAMBMGA1UdJQQMMAoGCCsGAQUF +BwMBMAwGA1UdEwEB/wQCMAAwDwYJKwYBBAGC2kssBAIFADAPBgNVHREECDAGhwR/ +AAABMAUGAytlcANBAO0XGRvpMAdkI8SVheJmr+Oe+BBR3VWyhU9PdIxiWu+v+pjp +UQDJpmto6r3AsriHVw2EIdvONnL1FeNzMX2HRAw= +-----END CERTIFICATE----- +` + +var delegatorKeyPEMEd25519 = `-----BEGIN EC PRIVATE KEY----- +MC4CAQAwBQYDK2VwBCIEILsRn/g0To97rbKf+2zV+sr6ZmrqcEiLRK2/rD7r+xDZ +-----END EC PRIVATE KEY----- +` + +var nonDelegatorCertPEM = `-----BEGIN CERTIFICATE----- +MIIBaDCCAQ6gAwIBAgIQcMnAGu3NQYTGYf2HK+JodTAKBggqhkjOPQQDAjASMRAw +DgYDVQQKEwdBY21lIENvMB4XDTIwMDgxODA1NDg1NloXDTIxMDgxODA1NDg1Nlow +EjEQMA4GA1UEChMHQWNtZSBDbzBZMBMGByqGSM49AgEGCCqGSM49AwEHA0IABPAi +QzOthHUdwLTPo9P7Vk1I2W5RHW5nIkq9zYqqMZ5mHQ6vmmrpklvTNHtY93PlokjN +pnlhzEsxK/QrBoAQ8fajRjBEMA4GA1UdDwEB/wQEAwIFoDATBgNVHSUEDDAKBggr +BgEFBQcDATAMBgNVHRMBAf8EAjAAMA8GA1UdEQQIMAaHBH8AAAEwCgYIKoZIzj0E +AwIDSAAwRQIgbOxx7/KWTD47UTWIBcFB95BPrFp2SaFBUyjhzMDXsQkCIQDnwtye +V1OlcMigjCsQuGRacYFP3f1ASpYVv58t/ZeVCw== +-----END CERTIFICATE----- +` + +var nonDelegatorKeyPEM = `-----BEGIN EC PRIVATE KEY----- +MIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQgD9Q9131NamLDe4ud +dU9rg+gO0vv8lXYErf7P5GQlZD6hRANCAATwIkMzrYR1HcC0z6PT+1ZNSNluUR1u +ZyJKvc2KqjGeZh0Or5pq6ZJb0zR7WPdz5aJIzaZ5YcxLMSv0KwaAEPH2 +-----END EC PRIVATE KEY----- +` + +var ( + dcTestConfig *Config + dcTestCerts map[string]*Certificate + serverDC []*dcAndPrivateKey + clientDC []*dcAndPrivateKey + dcNow time.Time + dcTestDCScheme = []SignatureScheme{ECDSAWithP256AndSHA256, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512, Ed25519} +) + +func init() { + dcTestConfig = &Config{ + Time: func() time.Time { + return dcNow + }, + Rand: zeroSource{}, + Certificates: nil, + MinVersion: VersionTLS10, + MaxVersion: VersionTLS13, + CipherSuites: allCipherSuites(), + } + +} + +func initDCTest() { + // Use a static time for testing at which time the test certificates are + // valid. + dcNow = time.Date(2021, time.March, 31, 11, 0, 0, 234234, time.UTC) + + // The certificates of the server. + dcTestCerts = make(map[string]*Certificate) + var err error + + // The delegation P256 certificate. + dcCertP256 := new(Certificate) + *dcCertP256, err = X509KeyPair([]byte(delegatorCertPEMP256), []byte(delegatorKeyPEMP256)) + if err != nil { + panic(err) + } + + dcCertP256.Leaf, err = x509.ParseCertificate(dcCertP256.Certificate[0]) + if err != nil { + panic(err) + } + dcTestCerts["dcP256"] = dcCertP256 + + // The delegation P384 certificate. + dcCertP384 := new(Certificate) + *dcCertP384, err = X509KeyPair([]byte(delegatorCertPEMP384), []byte(delegatorKeyPEMP384)) + if err != nil { + panic(err) + } + + dcCertP384.Leaf, err = x509.ParseCertificate(dcCertP384.Certificate[0]) + if err != nil { + panic(err) + } + dcTestCerts["dcP384"] = dcCertP384 + + // The delegation P521 certificate. + dcCertP521 := new(Certificate) + *dcCertP521, err = X509KeyPair([]byte(delegatorCertPEMP521), []byte(delegatorKeyPEMP521)) + if err != nil { + panic(err) + } + + dcCertP521.Leaf, err = x509.ParseCertificate(dcCertP521.Certificate[0]) + if err != nil { + panic(err) + } + dcTestCerts["dcP521"] = dcCertP521 + + // The delegation Ed25519 certificate. + dcCertEd25519 := new(Certificate) + *dcCertEd25519, err = X509KeyPair([]byte(delegatorCertPEMEd25519), []byte(delegatorKeyPEMEd25519)) + if err != nil { + panic(err) + } + + dcCertEd25519.Leaf, err = x509.ParseCertificate(dcCertEd25519.Certificate[0]) + if err != nil { + panic(err) + } + dcTestCerts["dcEd25519"] = dcCertEd25519 + + // The non-delegation certificate. + noDcCert := new(Certificate) + *noDcCert, err = X509KeyPair([]byte(nonDelegatorCertPEM), []byte(nonDelegatorKeyPEM)) + if err != nil { + panic(err) + } + noDcCert.Leaf, err = x509.ParseCertificate(noDcCert.Certificate[0]) + if err != nil { + panic(err) + } + dcTestCerts["no dc"] = noDcCert + + // The root certificates for the client. + dcTestConfig.RootCAs = x509.NewCertPool() + + for _, c := range dcTestCerts { + dcRoot, err := x509.ParseCertificate(c.Certificate[len(c.Certificate)-1]) + if err != nil { + panic(err) + } + dcTestConfig.RootCAs.AddCert(dcRoot) + } + + for i := 0; i < len(dcTestDCScheme); i++ { + dc, sk, err := NewDelegatedCredential(dcCertP256, dcTestDCScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, false) + if err != nil { + panic(err) + } + serverDC = append(serverDC, &dcAndPrivateKey{dc, sk}) + + dc, sk, err = NewDelegatedCredential(dcCertP256, dcTestDCScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, true) + if err != nil { + panic(err) + } + clientDC = append(clientDC, &dcAndPrivateKey{dc, sk}) + } + +} + +func publicKeysEqual(publicKey, publicKey2 crypto.PublicKey, algo SignatureScheme) error { + switch publicKey.(type) { + case *ecdsa.PublicKey: + curve := getECDSACurve(algo) + pk := publicKey.(*ecdsa.PublicKey) + pk2 := publicKey2.(*ecdsa.PublicKey) + + serPubKey := elliptic.Marshal(curve, pk.X, pk.Y) + serPubKey2 := elliptic.Marshal(curve, pk2.X, pk2.Y) + if !bytes.Equal(serPubKey2, serPubKey) { + return errors.New("ecdsa public Keys mismatch") + } + case ed25519.PublicKey: + pk := publicKey.(ed25519.PublicKey) + pk2 := publicKey2.(ed25519.PublicKey) + + if !bytes.Equal(pk, pk2) { + return errors.New("ed25519 Public Keys mismatch") + } + } + + return nil +} + +func delegagedCredentialsEqual(dc, dc2 *DelegatedCredential) error { + if dc2.cred.validTime != dc.cred.validTime { + return fmt.Errorf("ValidTime mismatch: got %d; want %d", dc2.cred.validTime, dc.cred.validTime) + } + + if dc2.cred.expCertVerfAlgo != dc.cred.expCertVerfAlgo { + return fmt.Errorf("scheme mismatch: got %04x; want %04x", dc2.cred.expCertVerfAlgo, dc.cred.expCertVerfAlgo) + } + + return publicKeysEqual(dc.cred.publicKey, dc2.cred.publicKey, dc.cred.expCertVerfAlgo) +} + +// Test delegation and validation of credentials. +func TestDelegateCredentialsValidate(t *testing.T) { + initDCTest() + cert := dcTestCerts["dcP384"] + validTime := dcNow.Sub(cert.Leaf.NotBefore) + dcMaxTTL + + delegatedCred, _, err := NewDelegatedCredential(cert, ECDSAWithP384AndSHA384, validTime, false) + if err != nil { + t.Fatal(err) + } else if delegatedCred == nil { + t.Fatal("unable to generate a Delegated Credential") + } + + rand := rand.New(rand.NewSource(time.Now().UnixNano())) + m := &certificateVerifyMsg{} + m.hasSignatureAlgorithm = true + m.signatureAlgorithm = ECDSAWithP384AndSHA384 + m.signature = randomBytes(rand.Intn(15)+1, rand) + + // Valid Delegated Credential + if !delegatedCred.Validate(cert.Leaf, false, dcNow, m) { + t.Error("generated valid Delegated Credential is rendered invalid") + } + + // Expired Delegated Credential + expired := dcNow.Add(dcMaxTTL).Add(time.Nanosecond) + if delegatedCred.Validate(cert.Leaf, false, expired, m) { + t.Error("expired delegated credential is valid; want invalid") + } + + // Test validation of Delegated Credential which TTL is too long + invalidDelegatedCred, _, err := NewDelegatedCredential(cert, ECDSAWithP384AndSHA384, validTime+time.Second, false) + if err != nil { + t.Fatal(err) + } + if invalidDelegatedCred.Validate(cert.Leaf, false, dcNow, m) { + t.Error("Delegated Credential validation with long TTL succeeded; want failure") + } + + shortValidTime := dcNow.Sub(cert.Leaf.NotBefore) + time.Second + + // Test validation of Delegated Credential which TTL is short + delegatedCred, _, err = NewDelegatedCredential(cert, ECDSAWithP384AndSHA384, shortValidTime, false) + if err != nil { + t.Fatal(err) + } + if !delegatedCred.Validate(cert.Leaf, false, dcNow, m) { + t.Error("valid Delegated Credential is invalid; want valid") + } + + delegatedCred.algorithm = ECDSAWithP521AndSHA512 + + // Test signature algorithm binding + if delegatedCred.Validate(cert.Leaf, false, dcNow, m) { + t.Error("Delegated Credential with wrong scheme is valid; want invalid") + } + + delegatedCred.algorithm = ECDSAWithP384AndSHA384 + + // Test delegation certificate binding + cert.Leaf.Raw[0] ^= byte(42) + if delegatedCred.Validate(cert.Leaf, false, dcNow, m) { + t.Error("Delegated Credential with wrong certificate is valid; want invalid") + } + + // Test validation of DC using a certificate that can't delegate. + if delegatedCred.Validate(dcTestCerts["no dc"].Leaf, false, dcNow, m) { + t.Error("Delegated Credential with non-delegation cert is valid; want invalid") + } + + // Test DC with another certificate + cert = dcTestCerts["dcP521"] + validTime = dcNow.Sub(cert.Leaf.NotBefore) + dcMaxTTL + delegatedCred, _, err = NewDelegatedCredential(cert, ECDSAWithP384AndSHA384, validTime, false) + if err != nil { + t.Fatal(err) + } else if delegatedCred == nil { + t.Fatal("unable to generate a Delegated Credential") + } + + // Valid Delegated Credential + if !delegatedCred.Validate(cert.Leaf, false, dcNow, m) { + t.Error("generated valid Delegated Credential is rendered invalid") + } +} + +// Test encoding/decoding of Delegated Credentials. +func TestDelegatedCredentialMarshal(t *testing.T) { + initDCTest() + cert := dcTestCerts["dcEd25519"] + time := dcNow.Sub(cert.Leaf.NotBefore) + dcMaxTTL + + for _, sig := range dcTestDCScheme { + delegatedCred, _, err := NewDelegatedCredential(cert, sig, time, false) + if err != nil { + t.Fatal(err) + } + + ser, err := delegatedCred.marshal() + if err != nil { + t.Error(err) + } + + delegatedCred2, err := unmarshalDelegatedCredential(ser) + if err != nil { + t.Error(err) + } + + err = delegagedCredentialsEqual(delegatedCred, delegatedCred2) + if err != nil { + t.Error(err) + } + + if delegatedCred.algorithm != delegatedCred2.algorithm { + t.Errorf("scheme mismatch: got %04x; want %04x", delegatedCred2.algorithm, delegatedCred.algorithm) + } + + if !bytes.Equal(delegatedCred2.signature, delegatedCred.signature) { + t.Error("Signature mismatch") + } + } +} + +var dcTests = []struct { + clientDCSupport bool + serverDCSupport bool + clientMaxVers uint16 + serverMaxVers uint16 + expectSuccess bool + expectDC bool + name string +}{ + {true, true, VersionTLS13, VersionTLS13, true, true, "tls13: DC server and client support"}, + {true, false, VersionTLS13, VersionTLS13, true, false, "DC not server support"}, + {false, true, VersionTLS13, VersionTLS13, true, false, "DC not client support"}, + {true, true, VersionTLS12, VersionTLS13, true, false, "client using TLS 1.2. No DC is supported in that version."}, + {true, true, VersionTLS13, VersionTLS12, true, false, "server using TLS 1.2. No DC is supported in that version."}, + {true, true, VersionTLS11, VersionTLS13, true, false, "client using TLS 1.1. No DC is supported in that version."}, + {true, true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, +} + +// Checks that the client suppports a version >= 1.3 and accepts Delegated +// Credentials. If so, it returns the delegation certificate; otherwise it +// returns a non-delegated certificate. +func testServerGetCertificate(ch *ClientHelloInfo) (*Certificate, error) { + versOk := false + for _, vers := range ch.SupportedVersions { + versOk = versOk || (vers >= uint16(VersionTLS13)) + } + + if versOk && ch.SupportsDelegatedCredential { + return dcTestCerts["dcP256"], nil + } + return dcTestCerts["no dc"], nil + +} + +// Checks that the client suppports a version >= 1.3 and accepts Delegated +// Credentials. If so, it returns the delegation certificate; otherwise it +// returns a non-Delegated certificate. +func testClientGetCertificate(cr *CertificateRequestInfo) (*Certificate, error) { + versOk := false + if cr.Version == VersionTLS13 { + versOk = true + } + + if versOk && cr.SupportsDelegatedCredential { + return dcTestCerts["dcP256"], nil + } + return dcTestCerts["no dc"], nil + +} + +// sets the dc to use for testing +var dcCounter = 0 + +// Checks that the client supports the signature algorithm supported by the test +// server, and that the server has a Delegated Credential. +func testGetDelegatedCredential(ch *ClientHelloInfo, cr *CertificateRequestInfo) (*DelegatedCredential, crypto.PrivateKey, error) { + if ch != nil { + schemeOk := false + for _, scheme := range ch.SignatureSchemesDC { + schemeOk = schemeOk || (scheme == dcTestDCScheme[dcCounter]) + } + + if schemeOk && ch.SupportsDelegatedCredential { + return serverDC[dcCounter].DelegatedCredential, serverDC[dcCounter].privateKey, nil + } + } else if cr != nil { + schemeOk := false + for _, scheme := range cr.SignatureSchemesDC { + schemeOk = schemeOk || (scheme == dcTestDCScheme[dcCounter]) + } + + if schemeOk && cr.SupportsDelegatedCredential { + return clientDC[dcCounter].DelegatedCredential, clientDC[dcCounter].privateKey, nil + } + } + + return nil, nil, nil +} + +// Tests the handshake and one round of application data. Returns true if the +// connection correctly used a Delegated Credential. +func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string) (bool, error) { + initDCTest() + ln := newLocalListener(t) + defer ln.Close() + + serverCh := make(chan *Conn, 1) + var serverErr error + go func() { + serverConn, err := ln.Accept() + if err != nil { + serverErr = err + serverCh <- nil + return + } + server := Server(serverConn, serverConfig) + if err := server.Handshake(); err != nil { + serverErr = fmt.Errorf("handshake error: %v", err) + serverCh <- nil + return + } + serverCh <- server + }() + + client, err := Dial("tcp", ln.Addr().String(), clientConfig) + if err != nil { + return false, err + } + defer client.Close() + + server := <-serverCh + if server == nil { + return false, serverErr + } + + bufLen := len(clientMsg) + if len(serverMsg) > len(clientMsg) { + bufLen = len(serverMsg) + } + buf := make([]byte, bufLen) + + client.Write([]byte(clientMsg)) + n, err := server.Read(buf) + if err != nil || n != len(clientMsg) || string(buf[:n]) != clientMsg { + return false, fmt.Errorf("Server read = %d, buf= %q; want %d, %s", n, buf, len(clientMsg), clientMsg) + } + + server.Write([]byte(serverMsg)) + n, err = client.Read(buf) + if n != len(serverMsg) || err != nil || string(buf[:n]) != serverMsg { + return false, fmt.Errorf("Client read = %d, %v, data %q; want %d, nil, %s", n, err, buf, len(serverMsg), serverMsg) + } + + if peer == "server" { + return (server.verifiedDC != nil), nil + } else if peer == "client" { + return (client.verifiedDC != nil), nil + } else if peer == "both" { + return (client.verifiedDC != nil && server.verifiedDC != nil), nil + } + + return false, nil +} + +// Test the server authentication with the Delegated Credential extension. +func TestDCHandshakeServerAuth(t *testing.T) { + serverMsg := "hello, client" + clientMsg := "hello, server" + + clientConfig := dcTestConfig.Clone() + serverConfig := dcTestConfig.Clone() + serverConfig.GetCertificate = testServerGetCertificate + + for i, test := range dcTests { + clientConfig.SupportDelegatedCredential = test.clientDCSupport + + for dcCounter < len(dcTestDCScheme)-1 { + if test.serverDCSupport { + serverConfig.GetDelegatedCredential = testGetDelegatedCredential + dcCounter++ + } else { + serverConfig.GetDelegatedCredential = nil + } + + clientConfig.MaxVersion = test.clientMaxVers + serverConfig.MaxVersion = test.serverMaxVers + + usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client") + + if err != nil && test.expectSuccess { + t.Errorf("test #%d (%s) fails: %s", i+1, test.name, err.Error()) + } else if err == nil && !test.expectSuccess { + t.Errorf("test #%d (%s) succeeds; expected failure", i+1, test.name) + } + + if usedDC != test.expectDC { + t.Errorf("test #%d (%s) usedDC = %v; expected %v", i+1, test.name, usedDC, test.expectDC) + } + } + } + + dcCounter = 0 +} + +// Test the client authentication with the Delegated Credential extension. +func TestDCHandshakeClientAuth(t *testing.T) { + clientMsg := "hello, server" + serverMsg := "hello, client" + + serverConfig := dcTestConfig.Clone() + serverConfig.ClientAuth = RequestClientCert + serverConfig.GetCertificate = testServerGetCertificate + clientConfig := dcTestConfig.Clone() + clientConfig.GetClientCertificate = testClientGetCertificate + + for i, test := range dcTests { + serverConfig.SupportDelegatedCredential = test.serverDCSupport + + for dcCounter < len(dcTestDCScheme)-1 { + if test.clientDCSupport { + clientConfig.GetDelegatedCredential = testGetDelegatedCredential + dcCounter++ + } else { + clientConfig.GetDelegatedCredential = nil + } + + serverConfig.MaxVersion = test.serverMaxVers + clientConfig.MaxVersion = test.clientMaxVers + + usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server") + + if err != nil && test.expectSuccess { + t.Errorf("test #%d (%s) fails: %s", i+1, test.name, err.Error()) + } else if err == nil && !test.expectSuccess { + t.Errorf("test #%d (%s) succeeds; expected failure", i+1, test.name) + } + + if usedDC != test.expectDC { + t.Errorf("test #%d (%s) usedDC = %v; expected %v", i+1, test.name, usedDC, test.expectDC) + } + } + } + dcCounter = 0 +} + +// Test server and client authentication with the Delegated Credential extension. +func TestDCHandshakeClientAndServerAuth(t *testing.T) { + clientMsg := "hello, server" + serverMsg := "hello, client" + + serverConfig := dcTestConfig.Clone() + serverConfig.ClientAuth = RequestClientCert + serverConfig.GetCertificate = testServerGetCertificate + clientConfig := dcTestConfig.Clone() + clientConfig.GetClientCertificate = testClientGetCertificate + + serverConfig.SupportDelegatedCredential = true + clientConfig.SupportDelegatedCredential = true + clientConfig.GetDelegatedCredential = testGetDelegatedCredential + serverConfig.GetDelegatedCredential = testGetDelegatedCredential + + serverConfig.MaxVersion = VersionTLS13 + clientConfig.MaxVersion = VersionTLS13 + + usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both") + + if err != nil { + t.Errorf("test server and client auth fails: %s", err.Error()) + } + + if usedDC != true { + t.Errorf("test server and client auth does not succed") + } +} diff --git a/src/crypto/tls/generate_cert.go b/src/crypto/tls/generate_cert.go index 3fc35d0669f..22b746859c4 100644 --- a/src/crypto/tls/generate_cert.go +++ b/src/crypto/tls/generate_cert.go @@ -33,6 +33,7 @@ var ( validFrom = flag.String("start-date", "", "Creation date formatted as Jan 1 15:04:05 2011") validFor = flag.Duration("duration", 365*24*time.Hour, "Duration that certificate is valid for") isCA = flag.Bool("ca", false, "whether this cert should be its own Certificate Authority") + allowDC = flag.Bool("allowDC", false, "whether this cert can be used with Delegated Credentials") rsaBits = flag.Int("rsa-bits", 2048, "Size of RSA key to generate. Ignored if --ecdsa-curve is set") ecdsaCurve = flag.String("ecdsa-curve", "", "ECDSA curve to use to generate a key. Valid values are P224, P256 (recommended), P384, P521") ed25519Key = flag.Bool("ed25519", false, "Generate an Ed25519 key") @@ -140,10 +141,19 @@ func main() { } if *isCA { + if *allowDC { + log.Fatal("Failed to create certificate: ca is not allowed with the dc flag") + } + template.IsCA = true template.KeyUsage |= x509.KeyUsageCertSign } + if *allowDC { + template.AllowDC = true + template.KeyUsage |= x509.KeyUsageDigitalSignature + } + derBytes, err := x509.CreateCertificate(rand.Reader, &template, &template, publicKey(priv), priv) if err != nil { log.Fatalf("Failed to create certificate: %v", err) diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index a32ec67a93d..74d6b056fb4 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -131,6 +131,8 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, ecdheParamet return nil, nil, err } hello.keyShares = []keyShare{{group: curveID, data: params.PublicKey()}} + hello.delegatedCredentialSupported = config.SupportDelegatedCredential + hello.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC } return hello, params, nil @@ -913,8 +915,10 @@ func (c *Conn) verifyServerCertificate(certificates [][]byte) error { // <= 1.2 CertificateRequest, making an effort to fill in missing information. func certificateRequestInfoFromMsg(vers uint16, certReq *certificateRequestMsg) *CertificateRequestInfo { cri := &CertificateRequestInfo{ - AcceptableCAs: certReq.certificateAuthorities, - Version: vers, + AcceptableCAs: certReq.certificateAuthorities, + Version: vers, + SupportsDelegatedCredential: false, // Not supported in TLS <= 1.2 + SignatureSchemesDC: nil, // Not supported in TLS <= 1.2 } var rsaAvail, ecAvail bool diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index d0e0e0d6adf..623e1dea65c 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -40,6 +40,45 @@ type clientHandshakeStateTLS13 struct { handshakeTimings CFEventTLS13ClientHandshakeTimingInfo } +// processDelegatedCredentialFromServer unmarshals the DelegatedCredential +// offered by the server (if present) and validates it using the peer +// certificate. +func (hs *clientHandshakeStateTLS13) processDelegatedCredentialFromServer(rawDC []byte, certVerifyMsg *certificateVerifyMsg) error { + c := hs.c + + var dc *DelegatedCredential + var err error + if rawDC != nil { + // Assert that support for the DC extension was indicated by the client. + if !hs.hello.delegatedCredentialSupported { + c.sendAlert(alertUnexpectedMessage) + return errors.New("tls: got Delegated Credential extension without indication") + } + + dc, err = unmarshalDelegatedCredential(rawDC) + if err != nil { + c.sendAlert(alertDecodeError) + return fmt.Errorf("tls: Delegated Credential: %s", err) + } + + if !isSupportedSignatureAlgorithm(dc.cred.expCertVerfAlgo, supportedSignatureAlgorithmsDC) { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: Delegated Credential used with invalid signature algorithm") + } + } + + if dc != nil { + if !dc.Validate(c.peerCertificates[0], false, c.config.time(), certVerifyMsg) { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: invalid Delegated Credential") + } + } + + c.verifiedDC = dc + + return nil +} + // handshake requires hs.c, hs.hello, hs.serverHello, hs.ecdheParams, and, // optionally, hs.session, hs.earlySecret and hs.binderKey to be set. func (hs *clientHandshakeStateTLS13) handshake() error { @@ -576,6 +615,7 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { c.sendAlert(alertIllegalParameter) return errors.New("tls: certificate used with invalid signature algorithm") } + sigType, sigHash, err := typeAndHashFromSignatureScheme(certVerify.signatureAlgorithm) if err != nil { return c.sendAlert(alertInternalError) @@ -584,8 +624,19 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { c.sendAlert(alertIllegalParameter) return errors.New("tls: certificate used with invalid signature algorithm") } + if certMsg.delegatedCredential { + if err := hs.processDelegatedCredentialFromServer(certMsg.certificate.DelegatedCredential, certVerify); err != nil { + return err // alert sent + } + } + + pk := c.peerCertificates[0].PublicKey + if c.verifiedDC != nil { + pk = c.verifiedDC.cred.publicKey + } + signed := signedMessage(sigHash, serverSignatureContext, hs.transcript) - if err := verifyHandshakeSignature(sigType, c.peerCertificates[0].PublicKey, + if err := verifyHandshakeSignature(sigType, pk, sigHash, signed, certVerify.signature); err != nil { c.sendAlert(alertDecryptError) return errors.New("tls: invalid signature by the server certificate: " + err.Error()) @@ -646,6 +697,18 @@ func (hs *clientHandshakeStateTLS13) readServerFinished() error { return nil } +func certificateRequestInfo(certReq *certificateRequestMsgTLS13, vers uint16) *CertificateRequestInfo { + cri := &CertificateRequestInfo{ + SupportsDelegatedCredential: certReq.supportDelegatedCredential, + SignatureSchemes: certReq.supportedSignatureAlgorithms, + SignatureSchemesDC: certReq.supportedSignatureAlgorithmsDC, + AcceptableCAs: certReq.certificateAuthorities, + Version: vers, + } + + return cri +} + func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { c := hs.c @@ -653,20 +716,42 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { return nil } - cert, err := c.getClientCertificate(&CertificateRequestInfo{ - AcceptableCAs: hs.certReq.certificateAuthorities, - SignatureSchemes: hs.certReq.supportedSignatureAlgorithms, - Version: c.vers, - }) + cri := certificateRequestInfo(hs.certReq, c.vers) + + cert, err := c.getClientCertificate(cri) if err != nil { return err } + var dc *DelegatedCredential + if hs.certReq.supportDelegatedCredential && c.config.GetDelegatedCredential != nil { + var priv crypto.PrivateKey + var err error + dc, priv, err = c.config.GetDelegatedCredential(nil, cri) + if err != nil { + c.sendAlert(alertInternalError) + return nil + } + + if dc != nil && priv != nil { + cert.PrivateKey = priv + if dc.raw == nil { + dc.raw, err = dc.marshal() + if err != nil { + c.sendAlert(alertInternalError) + return err + } + } + cert.DelegatedCredential = dc.raw + } + } + certMsg := new(certificateMsgTLS13) certMsg.certificate = *cert certMsg.scts = hs.certReq.scts && len(cert.SignedCertificateTimestamps) > 0 certMsg.ocspStapling = hs.certReq.ocspStapling && len(cert.OCSPStaple) > 0 + certMsg.delegatedCredential = hs.certReq.supportDelegatedCredential && len(cert.DelegatedCredential) > 0 hs.transcript.Write(certMsg.marshal()) if _, err := c.writeRecord(recordTypeHandshake, certMsg.marshal()); err != nil { @@ -683,7 +768,9 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { certVerifyMsg := new(certificateVerifyMsg) certVerifyMsg.hasSignatureAlgorithm = true - certVerifyMsg.signatureAlgorithm, err = selectSignatureScheme(c.vers, cert, hs.certReq.supportedSignatureAlgorithms) + var sigAlgorithm SignatureScheme + suppSigAlgo := hs.certReq.supportedSignatureAlgorithms + sigAlgorithm, err = selectSignatureScheme(c.vers, cert, suppSigAlgo) if err != nil { // getClientCertificate returned a certificate incompatible with the // CertificateRequestInfo supported signature algorithms. @@ -691,6 +778,19 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { return err } + if certMsg.delegatedCredential { + suppSigAlgo = hs.certReq.supportedSignatureAlgorithmsDC + sigAlgorithm, err = selectSignatureSchemeDC(c.vers, dc, suppSigAlgo) + if err != nil { + // getDelegatedCredential returned a delegated credential incompatible with the + // CertificateRequestInfo supported signature algorithms. + c.sendAlert(alertHandshakeFailure) + return err + } + } + + certVerifyMsg.signatureAlgorithm = sigAlgorithm + sigType, sigHash, err := typeAndHashFromSignatureScheme(certVerifyMsg.signatureAlgorithm) if err != nil { return c.sendAlert(alertInternalError) diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index 5b713c22440..037e3f207e8 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -81,8 +81,10 @@ type clientHelloMsg struct { sessionTicket []uint8 supportedSignatureAlgorithms []SignatureScheme supportedSignatureAlgorithmsCert []SignatureScheme + supportedSignatureAlgorithmsDC []SignatureScheme secureRenegotiationSupported bool secureRenegotiation []byte + delegatedCredentialSupported bool alpnProtocols []string scts bool supportedVersions []uint16 @@ -215,6 +217,19 @@ func (m *clientHelloMsg) marshal() []byte { }) }) } + if m.delegatedCredentialSupported { + if len(m.supportedSignatureAlgorithmsDC) > 0 { + // Draft: https://tools.ietf.org/html/draft-ietf-tls-subcerts-10 + b.AddUint16(extensionDelegatedCredentials) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + for _, sigAlgo := range m.supportedSignatureAlgorithmsDC { + b.AddUint16(uint16(sigAlgo)) + } + }) + }) + } + } if len(m.alpnProtocols) > 0 { // RFC 7301, Section 3.1 b.AddUint16(extensionALPN) @@ -550,6 +565,20 @@ func (m *clientHelloMsg) unmarshal(data []byte) bool { len(m.cookie) == 0 { return false } + case extensionDelegatedCredentials: + var sigAndAlgs cryptobyte.String + if !extData.ReadUint16LengthPrefixed(&sigAndAlgs) || sigAndAlgs.Empty() { + return false + } + for !sigAndAlgs.Empty() { + var sigAndAlg uint16 + if !sigAndAlgs.ReadUint16(&sigAndAlg) { + return false + } + m.supportedSignatureAlgorithmsDC = append( + m.supportedSignatureAlgorithmsDC, SignatureScheme(sigAndAlg)) + } + m.delegatedCredentialSupported = true case extensionKeyShare: // RFC 8446, Section 4.2.8 var clientShares cryptobyte.String @@ -1096,7 +1125,9 @@ type certificateRequestMsgTLS13 struct { raw []byte ocspStapling bool scts bool + supportDelegatedCredential bool supportedSignatureAlgorithms []SignatureScheme + supportedSignatureAlgorithmsDC []SignatureScheme supportedSignatureAlgorithmsCert []SignatureScheme certificateAuthorities [][]byte } @@ -1127,6 +1158,19 @@ func (m *certificateRequestMsgTLS13) marshal() []byte { b.AddUint16(extensionSCT) b.AddUint16(0) // empty extension_data } + if m.supportDelegatedCredential { + if len(m.supportedSignatureAlgorithmsDC) > 0 { + // Draft: https://tools.ietf.org/html/draft-ietf-tls-subcerts-10 + b.AddUint16(extensionDelegatedCredentials) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + for _, sigAlgo := range m.supportedSignatureAlgorithmsDC { + b.AddUint16(uint16(sigAlgo)) + } + }) + }) + } + } if len(m.supportedSignatureAlgorithms) > 0 { b.AddUint16(extensionSignatureAlgorithms) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { @@ -1191,6 +1235,20 @@ func (m *certificateRequestMsgTLS13) unmarshal(data []byte) bool { m.ocspStapling = true case extensionSCT: m.scts = true + case extensionDelegatedCredentials: + var sigAndAlgs cryptobyte.String + if !extData.ReadUint16LengthPrefixed(&sigAndAlgs) || sigAndAlgs.Empty() { + return false + } + for !sigAndAlgs.Empty() { + var sigAndAlg uint16 + if !sigAndAlgs.ReadUint16(&sigAndAlg) { + return false + } + m.supportedSignatureAlgorithmsDC = append( + m.supportedSignatureAlgorithmsDC, SignatureScheme(sigAndAlg)) + } + m.supportDelegatedCredential = true case extensionSignatureAlgorithms: var sigAndAlgs cryptobyte.String if !extData.ReadUint16LengthPrefixed(&sigAndAlgs) || sigAndAlgs.Empty() { @@ -1320,10 +1378,11 @@ func (m *certificateMsg) unmarshal(data []byte) bool { } type certificateMsgTLS13 struct { - raw []byte - certificate Certificate - ocspStapling bool - scts bool + raw []byte + certificate Certificate + ocspStapling bool + scts bool + delegatedCredential bool } func (m *certificateMsgTLS13) marshal() []byte { @@ -1343,10 +1402,14 @@ func (m *certificateMsgTLS13) marshal() []byte { if !m.scts { certificate.SignedCertificateTimestamps = nil } + if !m.delegatedCredential { + certificate.DelegatedCredential = nil + } marshalCertificate(b, certificate) }) m.raw = b.BytesOrPanic() + return m.raw } @@ -1358,7 +1421,8 @@ func marshalCertificate(b *cryptobyte.Builder, certificate Certificate) { }) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { if i > 0 { - // This library only supports OCSP and SCT for leaf certificates. + // This library only supports OCSP, SCT and Delegated Credentials for leaf certificates. + // Delegated Credentials are only supported on the leaf/end-entity certificate. return } if certificate.OCSPStaple != nil { @@ -1382,6 +1446,12 @@ func marshalCertificate(b *cryptobyte.Builder, certificate Certificate) { }) }) } + if certificate.DelegatedCredential != nil { + b.AddUint16(extensionDelegatedCredentials) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(certificate.DelegatedCredential) + }) + } }) } }) @@ -1401,6 +1471,7 @@ func (m *certificateMsgTLS13) unmarshal(data []byte) bool { m.scts = m.certificate.SignedCertificateTimestamps != nil m.ocspStapling = m.certificate.OCSPStaple != nil + m.delegatedCredential = m.certificate.DelegatedCredential != nil return true } @@ -1452,6 +1523,13 @@ func unmarshalCertificate(s *cryptobyte.String, certificate *Certificate) bool { certificate.SignedCertificateTimestamps = append( certificate.SignedCertificateTimestamps, sct) } + case extensionDelegatedCredentials: + if !extData.ReadBytes(&certificate.DelegatedCredential, len(extData)) { + return false + } + if len(certificate.DelegatedCredential) == 0 { + return false + } default: // Ignore unknown extensions. continue diff --git a/src/crypto/tls/handshake_messages_test.go b/src/crypto/tls/handshake_messages_test.go index bb8aea86700..de813efbefd 100644 --- a/src/crypto/tls/handshake_messages_test.go +++ b/src/crypto/tls/handshake_messages_test.go @@ -152,6 +152,10 @@ func (*clientHelloMsg) Generate(rand *rand.Rand, size int) reflect.Value { if rand.Intn(10) > 5 { m.supportedSignatureAlgorithmsCert = supportedSignatureAlgorithms } + if rand.Intn(10) > 5 { + m.delegatedCredentialSupported = true + m.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC + } for i := 0; i < rand.Intn(5); i++ { m.alpnProtocols = append(m.alpnProtocols, randomString(rand.Intn(20)+1, rand)) } @@ -368,6 +372,10 @@ func (*certificateRequestMsgTLS13) Generate(rand *rand.Rand, size int) reflect.V if rand.Intn(10) > 5 { m.scts = true } + if rand.Intn(10) > 5 { + m.supportDelegatedCredential = true + m.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC + } if rand.Intn(10) > 5 { m.supportedSignatureAlgorithms = supportedSignatureAlgorithms } @@ -393,6 +401,10 @@ func (*certificateMsgTLS13) Generate(rand *rand.Rand, size int) reflect.Value { m.ocspStapling = true m.certificate.OCSPStaple = randomBytes(rand.Intn(100)+1, rand) } + if rand.Intn(10) > 5 { + m.delegatedCredential = true + m.certificate.DelegatedCredential = randomBytes(rand.Intn(100)+1, rand) + } if rand.Intn(10) > 5 { m.scts = true for i := 0; i < rand.Intn(2)+1; i++ { diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 9da869a2e9c..14c5ded23c4 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -847,14 +847,16 @@ func clientHelloInfo(c *Conn, clientHello *clientHelloMsg) *ClientHelloInfo { } return &ClientHelloInfo{ - CipherSuites: clientHello.cipherSuites, - ServerName: clientHello.serverName, - SupportedCurves: clientHello.supportedCurves, - SupportedPoints: clientHello.supportedPoints, - SignatureSchemes: clientHello.supportedSignatureAlgorithms, - SupportedProtos: clientHello.alpnProtocols, - SupportedVersions: supportedVersions, - Conn: c.conn, - config: c.config, + CipherSuites: clientHello.cipherSuites, + ServerName: clientHello.serverName, + SupportedCurves: clientHello.supportedCurves, + SupportedPoints: clientHello.supportedPoints, + SignatureSchemes: clientHello.supportedSignatureAlgorithms, + SupportedProtos: clientHello.alpnProtocols, + SupportedVersions: supportedVersions, + SupportsDelegatedCredential: clientHello.delegatedCredentialSupported, + SignatureSchemesDC: clientHello.supportedSignatureAlgorithmsDC, + Conn: c.conn, + config: c.config, } } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 53d0b2a3d7f..0f840011021 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -38,10 +38,50 @@ type serverHandshakeStateTLS13 struct { trafficSecret []byte // client_application_traffic_secret_0 transcript hash.Hash clientFinished []byte + certReq *certificateRequestMsgTLS13 handshakeTimings CFEventTLS13ServerHandshakeTimingInfo } +// processDelegatedCredentialFromClient unmarshals the DelegatedCredential +// offered by the client (if present) and validates it using the peer +// certificate. +func (hs *serverHandshakeStateTLS13) processDelegatedCredentialFromClient(rawDC []byte, certVerifyMsg *certificateVerifyMsg) error { + c := hs.c + + var dc *DelegatedCredential + var err error + if rawDC != nil { + // Assert that the DC extension was indicated by the client. + if !hs.certReq.supportDelegatedCredential { + c.sendAlert(alertUnexpectedMessage) + return errors.New("tls: got Delegated Credential extension without indication") + } + + dc, err = unmarshalDelegatedCredential(rawDC) + if err != nil { + c.sendAlert(alertDecodeError) + return fmt.Errorf("tls: Delegated Credential: %s", err) + } + + if !isSupportedSignatureAlgorithm(dc.cred.expCertVerfAlgo, supportedSignatureAlgorithmsDC) { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: Delegated Credential used with invalid signature algorithm") + } + } + + if dc != nil { + if !dc.Validate(c.peerCertificates[0], true, c.config.time(), certVerifyMsg) { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: invalid Delegated Credential") + } + } + + c.verifiedDC = dc + + return nil +} + func (hs *serverHandshakeStateTLS13) handshake() error { c := hs.c @@ -427,6 +467,7 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { } return err } + hs.sigAlg, err = selectSignatureScheme(c.vers, certificate, hs.clientHello.supportedSignatureAlgorithms) if err != nil { // getCertificate returned a certificate that is unsupported or @@ -434,8 +475,37 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { c.sendAlert(alertHandshakeFailure) return err } + hs.cert = certificate + if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 && c.config.GetDelegatedCredential != nil { + dc, priv, err := c.config.GetDelegatedCredential(clientHelloInfo(c, hs.clientHello), nil) + if err != nil { + c.sendAlert(alertInternalError) + return nil + } + + if dc != nil && priv != nil { + hs.cert.PrivateKey = priv + if dc.raw == nil { + dc.raw, err = dc.marshal() + if err != nil { + c.sendAlert(alertInternalError) + return err + } + } + hs.cert.DelegatedCredential = dc.raw + + hs.sigAlg, err = selectSignatureSchemeDC(c.vers, dc, hs.clientHello.supportedSignatureAlgorithmsDC) + if err != nil { + // getCertificate returned a certificate that is unsupported or + // incompatible with the client's signature algorithms. + c.sendAlert(alertHandshakeFailure) + return err + } + } + } + return nil } @@ -526,6 +596,7 @@ func illegalClientHelloChange(ch, ch1 *clientHelloMsg) bool { len(ch.supportedCurves) != len(ch1.supportedCurves) || len(ch.supportedSignatureAlgorithms) != len(ch1.supportedSignatureAlgorithms) || len(ch.supportedSignatureAlgorithmsCert) != len(ch1.supportedSignatureAlgorithmsCert) || + len(ch.supportedSignatureAlgorithmsDC) != len(ch1.supportedSignatureAlgorithmsDC) || len(ch.alpnProtocols) != len(ch1.alpnProtocols) { return true } @@ -554,6 +625,11 @@ func illegalClientHelloChange(ch, ch1 *clientHelloMsg) bool { return true } } + for i := range ch.supportedSignatureAlgorithmsDC { + if ch.supportedSignatureAlgorithmsDC[i] != ch1.supportedSignatureAlgorithmsDC[i] { + return true + } + } for i := range ch.alpnProtocols { if ch.alpnProtocols[i] != ch1.alpnProtocols[i] { return true @@ -570,6 +646,7 @@ func illegalClientHelloChange(ch, ch1 *clientHelloMsg) bool { !bytes.Equal(ch.sessionTicket, ch1.sessionTicket) || ch.secureRenegotiationSupported != ch1.secureRenegotiationSupported || !bytes.Equal(ch.secureRenegotiation, ch1.secureRenegotiation) || + ch.delegatedCredentialSupported != ch1.delegatedCredentialSupported || ch.scts != ch1.scts || !bytes.Equal(ch.cookie, ch1.cookie) || !bytes.Equal(ch.pskModes, ch1.pskModes) @@ -670,11 +747,14 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { certReq := new(certificateRequestMsgTLS13) certReq.ocspStapling = true certReq.scts = true + certReq.supportDelegatedCredential = c.config.SupportDelegatedCredential certReq.supportedSignatureAlgorithms = supportedSignatureAlgorithms + certReq.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC if c.config.ClientCAs != nil { certReq.certificateAuthorities = c.config.ClientCAs.Subjects() } + hs.certReq = certReq hs.transcript.Write(certReq.marshal()) if _, err := c.writeRecord(recordTypeHandshake, certReq.marshal()); err != nil { return err @@ -686,6 +766,7 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { certMsg.certificate = *hs.cert certMsg.scts = hs.clientHello.scts && len(hs.cert.SignedCertificateTimestamps) > 0 certMsg.ocspStapling = hs.clientHello.ocspStapling && len(hs.cert.OCSPStaple) > 0 + certMsg.delegatedCredential = hs.clientHello.delegatedCredentialSupported && len(hs.cert.DelegatedCredential) > 0 hs.transcript.Write(certMsg.marshal()) if _, err := c.writeRecord(recordTypeHandshake, certMsg.marshal()); err != nil { @@ -698,7 +779,7 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { certVerifyMsg.hasSignatureAlgorithm = true certVerifyMsg.signatureAlgorithm = hs.sigAlg - sigType, sigHash, err := typeAndHashFromSignatureScheme(hs.sigAlg) + sigType, sigHash, err := typeAndHashFromSignatureScheme(certVerifyMsg.signatureAlgorithm) if err != nil { return c.sendAlert(alertInternalError) } @@ -909,9 +990,20 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { c.sendAlert(alertIllegalParameter) return errors.New("tls: client certificate used with invalid signature algorithm") } + + if certMsg.delegatedCredential { + if err := hs.processDelegatedCredentialFromClient(certMsg.certificate.DelegatedCredential, certVerify); err != nil { + return err + } + } + + pk := c.peerCertificates[0].PublicKey + if c.verifiedDC != nil { + pk = c.verifiedDC.cred.publicKey + } + signed := signedMessage(sigHash, clientSignatureContext, hs.transcript) - if err := verifyHandshakeSignature(sigType, c.peerCertificates[0].PublicKey, - sigHash, signed, certVerify.signature); err != nil { + if err := verifyHandshakeSignature(sigType, pk, sigHash, signed, certVerify.signature); err != nil { c.sendAlert(alertDecryptError) return errors.New("tls: invalid signature by the client certificate: " + err.Error()) } diff --git a/src/crypto/tls/tls.go b/src/crypto/tls/tls.go index 83d3783c078..ffb55a63473 100644 --- a/src/crypto/tls/tls.go +++ b/src/crypto/tls/tls.go @@ -12,6 +12,20 @@ // forwards the decrypted ClientHello to the intended recipient, known as the // backend server. The goal of this mechanism is to ensure that connections made // to backend servers are indistinguishable from one another. +// +// This package implements the "Delegated Credentials" extension, as +// specified by draft-ietf-tls-subcerts-10. This extension allows the usage +// of a limited delegation mechanism that allows a TLS peer to issue its own +// credentials within the scope of a certificate issued by an external +// CA. These credentials only enable the recipient of the delegation to +// speak for names that the CA has authorized. If the client or server supports +// this extension, then the server or client may use a "delegated credential" +// as the signing key in the handshake. A delegated credential is a short lived +// public/secret key pair delegated to the peer by an entity trusted by the +// corresponding peer. This allows a reverse proxy to terminate a TLS connection +// on behalf of the entity. Credentials can't be revoked; in order to +// mitigate risk in case the reverse proxy is compromised, the credential is only +// valid for a short time (days, hours, or even minutes). package tls // BUG(cjpatton): In order to achieve its security goal, the ECH extension diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index 4d855cefd84..1cad032ebe0 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -733,7 +733,7 @@ func TestWarningAlertFlood(t *testing.T) { } func TestCloneFuncFields(t *testing.T) { - const expectedCount = 6 + const expectedCount = 7 called := 0 c1 := Config{ @@ -761,6 +761,10 @@ func TestCloneFuncFields(t *testing.T) { called |= 1 << 5 return nil }, + GetDelegatedCredential: func(chi *ClientHelloInfo, cri *CertificateRequestInfo) (*DelegatedCredential, crypto.PrivateKey, error) { + called |= 1 << 6 + return nil, nil, nil + }, } c2 := c1.Clone() @@ -771,6 +775,7 @@ func TestCloneFuncFields(t *testing.T) { c2.GetConfigForClient(nil) c2.VerifyPeerCertificate(nil, nil) c2.VerifyConnection(ConnectionState{}) + c2.GetDelegatedCredential(nil, nil) if called != (1< 0 && !oidInExtensions(oidExtensionAuthorityKeyId, template.ExtraExtensions) { ret[n].Id = oidExtensionAuthorityKeyId ret[n].Value, err = asn1.Marshal(authKeyId{authorityKeyId}) @@ -2159,6 +2185,7 @@ var emptyASN1Subject = []byte{0x30, 0} // - ExtraExtensions // - IPAddresses // - IsCA +// - AllowDC // - IssuingCertificateURL // - KeyUsage // - MaxPathLen diff --git a/src/crypto/x509/x509_test.go b/src/crypto/x509/x509_test.go index 3608eef7d4a..9bbd63147fb 100644 --- a/src/crypto/x509/x509_test.go +++ b/src/crypto/x509/x509_test.go @@ -1915,6 +1915,48 @@ func TestISOOIDInCertificate(t *testing.T) { } } +const certIsDCOID = ` +-----BEGIN CERTIFICATE----- +MIIFRjCCBMugAwIBAgIQDGevB+lY0o/OecHFSJ6YnTAKBggqhkjOPQQDAzBMMQsw +CQYDVQQGEwJVUzEVMBMGA1UEChMMRGlnaUNlcnQgSW5jMSYwJAYDVQQDEx1EaWdp +Q2VydCBFQ0MgU2VjdXJlIFNlcnZlciBDQTAeFw0xOTAzMjYwMDAwMDBaFw0yMTAz +MzAxMjAwMDBaMGoxCzAJBgNVBAYTAlVTMRMwEQYDVQQIEwpDYWxpZm9ybmlhMRYw +FAYDVQQHEw1TYW4gRnJhbmNpc2NvMRkwFwYDVQQKExBDbG91ZGZsYXJlLCBJbmMu +MRMwEQYDVQQDEwprYzJrZG0uY29tMFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE +d4azI83Bw0fcPgfoeiZpZZnwGuxjBjv++wzE0zAj8vNiUkKxOWSQiGNLn+xlWUpL +lw9djRN1rLmVmn2gb9GgdKOCA28wggNrMB8GA1UdIwQYMBaAFKOd5h/52jlPwG7o +kcuVpdox4gqfMB0GA1UdDgQWBBSfcb7fS3fUFAyB91fRcwoDPtgtJjAjBgNVHREE +HDAaggprYzJrZG0uY29tggwqLmtjMmtkbS5jb20wDgYDVR0PAQH/BAQDAgeAMB0G +A1UdJQQWMBQGCCsGAQUFBwMBBggrBgEFBQcDAjBpBgNVHR8EYjBgMC6gLKAqhiho +dHRwOi8vY3JsMy5kaWdpY2VydC5jb20vc3NjYS1lY2MtZzEuY3JsMC6gLKAqhiho +dHRwOi8vY3JsNC5kaWdpY2VydC5jb20vc3NjYS1lY2MtZzEuY3JsMEwGA1UdIARF +MEMwNwYJYIZIAYb9bAEBMCowKAYIKwYBBQUHAgEWHGh0dHBzOi8vd3d3LmRpZ2lj +ZXJ0LmNvbS9DUFMwCAYGZ4EMAQICMHsGCCsGAQUFBwEBBG8wbTAkBggrBgEFBQcw +AYYYaHR0cDovL29jc3AuZGlnaWNlcnQuY29tMEUGCCsGAQUFBzAChjlodHRwOi8v +Y2FjZXJ0cy5kaWdpY2VydC5jb20vRGlnaUNlcnRFQ0NTZWN1cmVTZXJ2ZXJDQS5j +cnQwDAYDVR0TAQH/BAIwADAPBgkrBgEEAYLaSywEAgUAMIIBfgYKKwYBBAHWeQIE +AgSCAW4EggFqAWgAdgC72d+8H4pxtZOUI5eqkntHOFeVCqtS6BqQlmQ2jh7RhQAA +AWm5hYJ5AAAEAwBHMEUCICiGfq+hSThRL2m8H0awoDR8OpnEHNkF0nI6nL5yYL/j +AiEAxwebGs/T6Es0YarPzoQJrVZqk+sHH/t+jrSrKd5TDjcAdgCHdb/nWXz4jEOZ +X73zbv9WjUdWNv9KtWDBtOr/XqCDDwAAAWm5hYNgAAAEAwBHMEUCIQD9OWA8KGL6 +bxDKfgIleHJWB0iWieRs88VgJyfAg/aFDgIgQ/OsdSF9XOy1foqge0DTDM2FExuw +0JR0AGZWXoNtJzMAdgBElGUusO7Or8RAB9io/ijA2uaCvtjLMbU/0zOWtbaBqAAA +AWm5hYHgAAAEAwBHMEUCIQC4vua1n3BqthEqpA/VBTcsNwMtAwpCuac2IhJ9wx6X +/AIgb+o00k28JQo9TMpP4vzJ3BD3HXWSNc2Zizbq7mkUQYMwCgYIKoZIzj0EAwMD +aQAwZgIxAJsX7d0SuA8ddf/m7IWfNfs3MQfJyGkEezMJX1t6sRso5z50SS12LpXe +muGa1FE2ZgIxAL+CDUF5pz7mhrAEIjQ1MqlpF9tH40dJGvYZZQ3W23cMzSkDfvlt +y5S4RfWHIIPjbw== +-----END CERTIFICATE-----` + +func TestIsDCOIDInCertificate(t *testing.T) { + block, _ := pem.Decode([]byte(certIsDCOID)) + if cert, err := ParseCertificate(block.Bytes); err != nil { + t.Errorf("certificate with DC OID failed to parse: %s", err) + } else if cert.SignatureAlgorithm == UnknownSignatureAlgorithm { + t.Errorf("DC OID not recognised in certificate") + } +} + // certMultipleRDN contains a RelativeDistinguishedName with two elements (the // common name and serial number). This particular certificate was the first // such certificate in the “Pilot” Certificate Transparency log. From 2a17ea31d28264fccfec4e59dc2ac733b6c73dec Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Wed, 3 Mar 2021 09:22:15 -0800 Subject: [PATCH 18/69] circl: Update to 8bfb091bcab9c351e21bc14a263f0bdaa79c4863 Manually removed Ristretto code because it has external dependencies. --- src/circl/.github/workflows/ci-actions.yml | 6 +- src/circl/README.md | 31 ++ src/circl/dh/csidh/fp511_amd64.s | 4 +- src/circl/dh/sidh/internal/p434/arith_amd64.s | 4 +- src/circl/dh/sidh/internal/p503/arith_amd64.s | 4 +- src/circl/dh/sidh/internal/p751/arith_amd64.s | 6 +- src/circl/group/group_test.go | 18 +- src/circl/hpke/aead_test.go | 50 +++ src/circl/kem/hybrid/hybrid.go | 32 +- src/circl/kem/schemes/schemes.go | 4 +- src/circl/kem/schemes/schemes_test.go | 4 +- src/circl/oprf/client.go | 8 +- src/circl/oprf/keys.go | 11 +- src/circl/oprf/oprf.go | 34 +- src/circl/oprf/oprf_test.go | 12 +- src/circl/oprf/server.go | 27 +- src/circl/oprf/testdata/allVectors_v06.json | 375 +++++++++--------- src/circl/oprf/vectors_test.go | 73 ++-- src/circl/pke/kyber/internal/common/amd64.s | 2 +- .../sign/dilithium/internal/common/amd64.s | 2 +- src/circl/sign/sign.go | 4 + src/circl/simd/keccakf1600/f1600x.go | 5 +- 22 files changed, 430 insertions(+), 286 deletions(-) diff --git a/src/circl/.github/workflows/ci-actions.yml b/src/circl/.github/workflows/ci-actions.yml index 48d87fdba1b..d9a2ca47d24 100644 --- a/src/circl/.github/workflows/ci-actions.yml +++ b/src/circl/.github/workflows/ci-actions.yml @@ -12,7 +12,7 @@ jobs: runs-on: ubuntu-18.04 strategy: matrix: - GOVER: ['1.15', '1.14', '1.13', '1.12'] + GOVER: ['1.16', '1.15', '1.14', '1.13', '1.12'] steps: - name: Checkout uses: actions/checkout@v2 @@ -38,7 +38,7 @@ jobs: runs-on: ubuntu-18.04 strategy: matrix: - CFG: [ [arm64,arm64v8,1.15] ] + CFG: [ [arm64,arm64v8,1.16] ] steps: - uses: actions/checkout@v2 - name: Enabling Docker Experimental @@ -64,7 +64,7 @@ jobs: - name: Setup Go uses: actions/setup-go@v2 with: - go-version: '1.15' + go-version: '1.16' - name: Produce Coverage run: go test -race -coverprofile=./coverage.txt -covermode=atomic ./... - name: Upload Codecov diff --git a/src/circl/README.md b/src/circl/README.md index 7526207a325..62cdd5e6b80 100644 --- a/src/circl/README.md +++ b/src/circl/README.md @@ -69,6 +69,37 @@ To contribute, fork this repository and make your changes, and then make a Pull Request. A Pull Request requires approval of the admin team and a successful CI build. +## How to Cite + +To cite CIRCL, use one of the following formats and update with the date +you accessed this project. + +APA Style + +``` +Faz-Hernández, A. and Kwiatkowski, K. (2019). Introducing CIRCL: +An Advanced Cryptographic Library. Cloudflare. Available at +https://circl. Accessed Feb 2021. +``` + +Bibtex Source + +```bibtex +@manual{circl, + title = {Introducing CIRCL: An Advanced Cryptographic Library}, + author = {Armando Faz-Hern\'{a}ndez and Kris Kwiatkowski}, + organization = {Cloudflare}, + abstract = {{CIRCL (Cloudflare Interoperable, Reusable Cryptographic Library) is + a collection of cryptographic primitives written in Go. The goal + of this library is to be used as a tool for experimental + deployment of cryptographic algorithms targeting Post-Quantum (PQ) + and Elliptic Curve Cryptography (ECC).}}, + note = {Available at \url{https://circl}. Accessed Feb 2021}, + month = jun, + year = {2019} +} +``` + ## License The project is licensed under the [BSD-3-Clause License](./LICENSE). diff --git a/src/circl/dh/csidh/fp511_amd64.s b/src/circl/dh/csidh/fp511_amd64.s index b27228df9be..c248c0a3a3f 100644 --- a/src/circl/dh/csidh/fp511_amd64.s +++ b/src/circl/dh/csidh/fp511_amd64.s @@ -103,7 +103,7 @@ TEXT ·mulBmiAsm(SB),NOSPLIT,$8-24 XORQ R14, R14 XORQ R15, R15 - MOVQ BP, 0(SP) + MOVQ BP, 0(SP) // push: BP is Callee-save. XORQ BP, BP // Uses BMI2 (MULX) @@ -160,7 +160,7 @@ TEXT ·mulBmiAsm(SB),NOSPLIT,$8-24 MOVQ R12, (40)(DI) MOVQ R13, (48)(DI) MOVQ R14, (56)(DI) - MOVQ 0(SP), BP + MOVQ 0(SP), BP // pop: BP is Callee-save. // NOW DI needs to be reduced if > p RET diff --git a/src/circl/dh/sidh/internal/p434/arith_amd64.s b/src/circl/dh/sidh/internal/p434/arith_amd64.s index 67dcea8dfcc..abdd504ea2a 100644 --- a/src/circl/dh/sidh/internal/p434/arith_amd64.s +++ b/src/circl/dh/sidh/internal/p434/arith_amd64.s @@ -1079,7 +1079,7 @@ mul_with_mulx_adcx_adox: MOVQ 0x10(DI), R10 MOVQ 0x18(DI), R11 - MOVQ BP, 0x70(SP) + MOVQ BP, 0x70(SP) // push: BP is Callee-save. ADDQ 0x20(DI), R8 ADCQ 0x28(DI), R9 @@ -1198,7 +1198,7 @@ mul_with_mulx_adcx_adox: ADCQ $0, R13 MOVQ R13, 0x68(CX) // OUT13 - MOVQ 0x70(SP), BP + MOVQ 0x70(SP), BP // pop: BP is Callee-save. RET TEXT ·rdcP434(SB),$0-16 diff --git a/src/circl/dh/sidh/internal/p503/arith_amd64.s b/src/circl/dh/sidh/internal/p503/arith_amd64.s index aba4e320aa9..cef846a6823 100644 --- a/src/circl/dh/sidh/internal/p503/arith_amd64.s +++ b/src/circl/dh/sidh/internal/p503/arith_amd64.s @@ -293,7 +293,7 @@ MOVQ R10, (80)(SP) \ MOVQ R11, (88)(SP) \ \ // BP will be used for schoolbook multiplication below - MOVQ BP, 96(SP) \ + MOVQ BP, 96(SP) \ // push: BP is Callee-save. \ // (U1+U0)*(V1+V0) MULS((64)(OUT), 0(SP), 32(SP), R8, R9, R10, R11, R12, R13, R14, R15, BX, BP) \ \ // U0 x V0 @@ -301,7 +301,7 @@ \ // U1 x V1 MULS(0(SP), 32(I0), 32(I1), R8, R9, R10, R11, R12, R13, R14, R15, BX, BP) \ \ // Recover BP - MOVQ 96(SP), BP \ + MOVQ 96(SP), BP \ // pop: BP is Callee-save. \ // Final part of schoolbook multiplication; R[8-11] = (U0+U1) x (V0+V1) MOVQ (64)(SP), R8 \ MOVQ (72)(SP), R9 \ diff --git a/src/circl/dh/sidh/internal/p751/arith_amd64.s b/src/circl/dh/sidh/internal/p751/arith_amd64.s index 2d739749e89..a20a9d9a2f2 100644 --- a/src/circl/dh/sidh/internal/p751/arith_amd64.s +++ b/src/circl/dh/sidh/internal/p751/arith_amd64.s @@ -1735,7 +1735,7 @@ TEXT ·mulP751(SB), $96-24 MOVQ R13, 80+C \ MOVQ R14, 88+C -TEXT ·rdcP751(SB), $0-16 +TEXT ·rdcP751(SB), $8-16 MOVQ z+0(FP), REG_P2 MOVQ x+8(FP), REG_P1 @@ -2351,14 +2351,18 @@ redc_with_mulx_adcx_adox: // This implements the Montgomery reduction algorithm described in // section 5.2.3 of https://eprint.iacr.org/2017/1015.pdf. // This assumes that the BMI2 and ADX instruction set extensions are available. + MOVQ BP, 0(SP) // push: BP is Callee-save. REDC(0(REG_P2), 0(REG_P1), mul256x448bmi2adx) + MOVQ 0(SP), BP // pop: BP is Callee-save. RET redc_with_mulx: // This implements the Montgomery reduction algorithm described in // section 5.2.3 of https://eprint.iacr.org/2017/1015.pdf. // This assumes that the BMI2 instruction set extension is available. + MOVQ BP, 0(SP) // push: BP is Callee-save. REDC(0(REG_P2), 0(REG_P1), mul256x448bmi2) + MOVQ 0(SP), BP // pop: BP is Callee-save. RET TEXT ·adlP751(SB), NOSPLIT, $0-24 diff --git a/src/circl/group/group_test.go b/src/circl/group/group_test.go index ec5a8cb4b82..a18ef71bbb6 100644 --- a/src/circl/group/group_test.go +++ b/src/circl/group/group_test.go @@ -113,16 +113,24 @@ func testOrder(t *testing.T, testTimes int, g group.Group) { } } +func isZero(b []byte) bool { + for i := 0; i < len(b); i++ { + if b[i] != 0x00 { + return false + } + } + return true +} + func testMarshal(t *testing.T, testTimes int, g group.Group) { I := g.Identity() got, _ := I.MarshalBinary() - want := []byte{0} - if !bytes.Equal(got, want) { - test.ReportError(t, got, want) + if !isZero(got) { + test.ReportError(t, got, "Non-zero identity") } got, _ = I.MarshalBinaryCompress() - if !bytes.Equal(got, want) { - test.ReportError(t, got, want) + if !isZero(got) { + test.ReportError(t, got, "Non-zero identity") } II := g.NewElement() err := II.UnmarshalBinary(got) diff --git a/src/circl/hpke/aead_test.go b/src/circl/hpke/aead_test.go index 13fe76297b0..3fe1bfa4c5f 100644 --- a/src/circl/hpke/aead_test.go +++ b/src/circl/hpke/aead_test.go @@ -79,6 +79,56 @@ func TestAeadNonceUpdate(t *testing.T) { } } +func TestOpenPhaseMismatch(t *testing.T) { + sealer, opener, err := setupAeadTest() + test.CheckNoErr(t, err, "setup failed") + + pt := []byte("plaintext") + aad := []byte("aad") + + ct, err := sealer.Seal(pt, aad) + if err != nil { + t.Fatalf("encryption failed: %s", err) + } + + recovered, err := opener.Open(ct, aad) + if err != nil { + t.Fatalf("decryption failed: %s", err) + } + + if !bytes.Equal(pt, recovered) { + t.Fatal("Plaintext mismatch") + } + + _, err = opener.Open(ct, aad) + if err == nil { + t.Fatal("decryption succeeded when it should have failed") + } +} + +func TestSealPhaseMismatch(t *testing.T) { + sealer, opener, err := setupAeadTest() + test.CheckNoErr(t, err, "setup failed") + + pt := []byte("plaintext") + aad := []byte("aad") + + _, err = sealer.Seal(pt, aad) + if err != nil { + t.Fatalf("encryption failed: %s", err) + } + + ct, err := sealer.Seal(pt, aad) + if err != nil { + t.Fatalf("encryption failed: %s", err) + } + + _, err = opener.Open(ct, aad) + if err == nil { + t.Fatal("decryption succeeded when it should have failed") + } +} + func TestAeadSeqOverflow(t *testing.T) { sealer, opener, err := setupAeadTest() test.CheckNoErr(t, err, "setup failed") diff --git a/src/circl/kem/hybrid/hybrid.go b/src/circl/kem/hybrid/hybrid.go index fbd886ae760..3bcb7b25efe 100644 --- a/src/circl/kem/hybrid/hybrid.go +++ b/src/circl/kem/hybrid/hybrid.go @@ -20,23 +20,39 @@ import ( "circl/kem" + "circl/hpke" + "circl/kem/kyber/kyber1024" "circl/kem/kyber/kyber512" - "circl/kem/sike/sikep434" + "circl/kem/kyber/kyber768" "circl/internal/sha3" ) var ErrUninitialized = errors.New("public or private key not initialized") -// Temporary Hybrid scheme for testing purposes. -func KyberSike() kem.Scheme { - return kyberSike -} +// Returns the hybrid KEM of Kyber512 and X25519. +func Kyber512X25519() kem.Scheme { return kyber512X } + +// Returns the hybrid KEM of Kyber768 and X448. +func Kyber768X448() kem.Scheme { return kyber768X } + +// Returns the hybrid KEM of Kyber1024 and X448. +func Kyber1024X448() kem.Scheme { return kyber1024X } -var kyberSike kem.Scheme = &scheme{ - "Temporary-Kyber-Sike", +var kyber512X kem.Scheme = &scheme{ + "Kyber512-X25519", kyber512.Scheme(), - sikep434.Scheme(), + hpke.KEM_X25519_HKDF_SHA256.Scheme(), +} +var kyber768X kem.Scheme = &scheme{ + "Kyber768-X448", + kyber768.Scheme(), + hpke.KEM_X448_HKDF_SHA512.Scheme(), +} +var kyber1024X kem.Scheme = &scheme{ + "Kyber1024-X448", + kyber1024.Scheme(), + hpke.KEM_X448_HKDF_SHA512.Scheme(), } // Public key of a hybrid KEM. diff --git a/src/circl/kem/schemes/schemes.go b/src/circl/kem/schemes/schemes.go index 6c4e8564457..50d9228556f 100644 --- a/src/circl/kem/schemes/schemes.go +++ b/src/circl/kem/schemes/schemes.go @@ -37,7 +37,9 @@ var allSchemes = [...]kem.Scheme{ sikep434.Scheme(), sikep503.Scheme(), sikep751.Scheme(), - hybrid.KyberSike(), // XXX temporary for testing + hybrid.Kyber512X25519(), + hybrid.Kyber768X448(), + hybrid.Kyber1024X448(), } var allSchemeNames map[string]kem.Scheme diff --git a/src/circl/kem/schemes/schemes_test.go b/src/circl/kem/schemes/schemes_test.go index fdd55c11335..8530c95bb68 100644 --- a/src/circl/kem/schemes/schemes_test.go +++ b/src/circl/kem/schemes/schemes_test.go @@ -143,5 +143,7 @@ func Example_schemes() { // SIKEp434 // SIKEp503 // SIKEp751 - // Temporary-Kyber-Sike + // Kyber512-X25519 + // Kyber768-X448 + // Kyber1024-X448 } diff --git a/src/circl/oprf/client.go b/src/circl/oprf/client.go index c671264e861..b4e82f72a3d 100644 --- a/src/circl/oprf/client.go +++ b/src/circl/oprf/client.go @@ -73,7 +73,7 @@ func (c *Client) blind(inputs [][]byte, blinds []Blind) (*ClientRequest, error) // Finalize computes the signed token from the server Evaluation and returns // the output of the OPRF protocol. The function uses server's public key // to verify the proof in verifiable mode. -func (c *Client) Finalize(r *ClientRequest, e *Evaluation, info []byte) ([][]byte, error) { +func (c *Client) Finalize(r *ClientRequest, e *Evaluation) ([][]byte, error) { l := len(r.blinds) if len(r.BlindedElements) != l || len(e.Elements) != l { return nil, errors.New("mismatch number of elements") @@ -91,7 +91,7 @@ func (c *Client) Finalize(r *ClientRequest, e *Evaluation, info []byte) ([][]byt } outputs := make([][]byte, l) for i := 0; i < l; i++ { - outputs[i] = c.finalizeHash(r.inputs[i], unblindedElements[i], info) + outputs[i] = c.finalizeHash(r.inputs[i], unblindedElements[i]) } return outputs, nil } @@ -132,7 +132,7 @@ func (c *Client) verifyProof(blinds []Blinded, e *Evaluation) bool { } cP.Mul(c.pkS.e, cc) sG.Add(sG, cP) - a2, err := sG.MarshalBinary() + a2, err := sG.MarshalBinaryCompress() if err != nil { return false } @@ -142,7 +142,7 @@ func (c *Client) verifyProof(blinds []Blinded, e *Evaluation) bool { cZ := c.suite.Group.NewElement() cZ.Mul(Z, cc) sM.Add(sM, cZ) - a3, err := sM.MarshalBinary() + a3, err := sM.MarshalBinaryCompress() if err != nil { return false } diff --git a/src/circl/oprf/keys.go b/src/circl/oprf/keys.go index 0d9b526bb73..db93d7903e1 100644 --- a/src/circl/oprf/keys.go +++ b/src/circl/oprf/keys.go @@ -14,7 +14,7 @@ type PublicKey struct { } func (k *PrivateKey) Serialize() ([]byte, error) { return k.k.MarshalBinary() } -func (k *PublicKey) Serialize() ([]byte, error) { return k.e.MarshalBinary() } +func (k *PublicKey) Serialize() ([]byte, error) { return k.e.MarshalBinaryCompress() } func (k *PrivateKey) Deserialize(id SuiteID, data []byte) error { suite, err := suiteFromID(id, BaseMode) @@ -51,3 +51,12 @@ func GenerateKey(id SuiteID) (*PrivateKey, error) { } return suite.generateKey(), nil } + +// DeriveKey derives a pair of keys given a seed and in accordance with the suite. +func DeriveKey(id SuiteID, seed []byte) (*PrivateKey, error) { + suite, err := suiteFromID(id, BaseMode) + if err != nil { + return nil, err + } + return suite.deriveKey(seed), nil +} diff --git a/src/circl/oprf/oprf.go b/src/circl/oprf/oprf.go index 24804cd1377..8187010b4ed 100644 --- a/src/circl/oprf/oprf.go +++ b/src/circl/oprf/oprf.go @@ -25,12 +25,13 @@ import ( ) const ( - version = "VOPRF06-" - seedDST = "Seed-" - challengeDST = "Challenge-" - finalizeDST = "Finalize-" - compositeDST = "Composite-" - hashToGroupDST = "HashToGroup-" + version = "VOPRF06-" + seedDST = "Seed-" + challengeDST = "Challenge-" + finalizeDST = "Finalize-" + compositeDST = "Composite-" + hashToGroupDST = "HashToGroup-" + hashToScalarDST = "HashToScalar-" ) // SuiteID identifies supported suites. @@ -107,13 +108,18 @@ func (s *suite) generateKey() *PrivateKey { return &PrivateKey{s.SuiteID, privateKey} } +func (s *suite) deriveKey(seed []byte) *PrivateKey { + privateKey := s.Group.HashToScalar(seed, nil) + return &PrivateKey{s.SuiteID, privateKey} +} + func (s *suite) scalarMult(e group.Element, k group.Scalar) ([]byte, error) { t := s.Group.NewElement() t.Mul(e, k) return t.MarshalBinaryCompress() } -func (s *suite) finalizeHash(input, element, info []byte) []byte { +func (s *suite) finalizeHash(input, element []byte) []byte { h := s.New() lenBuf := []byte{0, 0} @@ -126,10 +132,6 @@ func (s *suite) finalizeHash(input, element, info []byte) []byte { mustWrite(h, lenBuf) mustWrite(h, element) - binary.BigEndian.PutUint16(lenBuf, uint16(len(info))) - mustWrite(h, lenBuf) - mustWrite(h, info) - dst := s.getDST(finalizeDST) binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) mustWrite(h, lenBuf) @@ -173,7 +175,7 @@ func (s *suite) computeComposites( Z := s.Group.Identity() Mi := s.Group.NewElement() Zi := s.Group.NewElement() - h2gDST := s.getDST(hashToGroupDST) + h2sDST := s.getDST(hashToScalarDST) for i := range b { h2Input := []byte{} @@ -193,7 +195,7 @@ func (s *suite) computeComposites( binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) h2Input = append(append(h2Input, lenBuf...), dst...) - di := s.Group.HashToScalar(h2Input, h2gDST) + di := s.Group.HashToScalar(h2Input, h2sDST) err := Mi.UnmarshalBinary(b[i]) if err != nil { return nil, nil, err @@ -215,11 +217,11 @@ func (s *suite) computeComposites( Z.Mul(M, skS) } - serM, err := M.MarshalBinary() + serM, err := M.MarshalBinaryCompress() if err != nil { return nil, nil, err } - serZ, err := Z.MarshalBinary() + serZ, err := Z.MarshalBinaryCompress() if err != nil { return nil, nil, err } @@ -240,5 +242,5 @@ func (s *suite) doChallenge(a [5][]byte) group.Scalar { binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) h2Input = append(append(h2Input, lenBuf...), dst...) - return s.Group.HashToScalar(h2Input, s.getDST(hashToGroupDST)) + return s.Group.HashToScalar(h2Input, s.getDST(hashToScalarDST)) } diff --git a/src/circl/oprf/oprf_test.go b/src/circl/oprf/oprf_test.go index 3964cd19d86..73095eabdce 100644 --- a/src/circl/oprf/oprf_test.go +++ b/src/circl/oprf/oprf_test.go @@ -40,8 +40,7 @@ func testSerialization(t *testing.T, suite oprf.SuiteID, mode oprf.Mode) { test.CheckNoErr(t, err, "invalid setup of server") input := []byte("hello world") - info := []byte("info") - outputA, err := server.FullEvaluate(input, info) + outputA, err := server.FullEvaluate(input) test.CheckNoErr(t, err, "wrong full evaluate") encoded, err := privateKey.Serialize() @@ -59,7 +58,7 @@ func testSerialization(t *testing.T, suite oprf.SuiteID, mode oprf.Mode) { } test.CheckNoErr(t, err, "invalid setup of server with key") - outputB, err := recoveredServer.FullEvaluate(input, info) + outputB, err := recoveredServer.FullEvaluate(input) test.CheckNoErr(t, err, "invalid full evaluate") got := outputA @@ -102,8 +101,7 @@ func testAPI(t *testing.T, suite oprf.SuiteID, mode oprf.Mode) { t.Fatal("invalid evaluation of server: no evaluation") } - info := []byte("test information") - clientOutputs, err := client.Finalize(cr, eval, info) + clientOutputs, err := client.Finalize(cr, eval) if err != nil { t.Fatal("invalid unblinding of client: " + err.Error()) } @@ -113,12 +111,12 @@ func testAPI(t *testing.T, suite oprf.SuiteID, mode oprf.Mode) { } for i := range inputs { - valid := server.VerifyFinalize(inputs[i], info, clientOutputs[i]) + valid := server.VerifyFinalize(inputs[i], clientOutputs[i]) if !valid { t.Fatal("Invalid verification from the server") } - serverOutput, err := server.FullEvaluate(inputs[i], info) + serverOutput, err := server.FullEvaluate(inputs[i]) if err != nil { t.Fatal("FullEvaluate failed", err) } diff --git a/src/circl/oprf/server.go b/src/circl/oprf/server.go index 57097c563ca..a2d93caaf8c 100644 --- a/src/circl/oprf/server.go +++ b/src/circl/oprf/server.go @@ -4,6 +4,8 @@ import ( "crypto/rand" "crypto/subtle" "errors" + + "circl/group" ) // Server is a representation of a OPRF server during protocol execution. @@ -42,6 +44,13 @@ func (s *Server) GetPublicKey() *PublicKey { return s.privateKey.Public() } // Evaluate evaluates a set of blinded inputs from the client. func (s *Server) Evaluate(blindedElements []Blinded) (*Evaluation, error) { + rr := s.suite.Group.RandomScalar(rand.Reader) + return s.evaluateWithProofScalar(blindedElements, rr) +} + +// Evaluate evaluates a set of blinded inputs from the client using a fixed +// random scalar for proof generation +func (s *Server) evaluateWithProofScalar(blindedElements []Blinded, proofScalar group.Scalar) (*Evaluation, error) { l := len(blindedElements) if l == 0 { return nil, errors.New("no elements to evaluate") @@ -64,7 +73,7 @@ func (s *Server) Evaluate(blindedElements []Blinded) (*Evaluation, error) { var proof *Proof if s.Mode == VerifiableMode { - proof, err = s.generateProof(blindedElements, eval) + proof, err = s.generateProofWithRandomScalar(blindedElements, eval, proofScalar) if err != nil { return nil, err } @@ -74,7 +83,7 @@ func (s *Server) Evaluate(blindedElements []Blinded) (*Evaluation, error) { } // FullEvaluate performs a full OPRF protocol at server-side. -func (s *Server) FullEvaluate(input, info []byte) ([]byte, error) { +func (s *Server) FullEvaluate(input []byte) ([]byte, error) { p := s.Group.HashToElement(input, s.getDST(hashToGroupDST)) ser, err := s.scalarMult(p, s.privateKey.k) @@ -82,20 +91,20 @@ func (s *Server) FullEvaluate(input, info []byte) ([]byte, error) { return nil, err } - return s.finalizeHash(input, ser, info), nil + return s.finalizeHash(input, ser), nil } // VerifyFinalize performs a full OPRF protocol and returns true if the output // matches the expected output. -func (s *Server) VerifyFinalize(input, info, expectedOutput []byte) bool { - gotOutput, err := s.FullEvaluate(input, info) +func (s *Server) VerifyFinalize(input, expectedOutput []byte) bool { + gotOutput, err := s.FullEvaluate(input) if err != nil { return false } return subtle.ConstantTimeCompare(gotOutput, expectedOutput) == 1 } -func (s *Server) generateProof(b []Blinded, eval []SerializedElement) (*Proof, error) { +func (s *Server) generateProofWithRandomScalar(b []Blinded, eval []SerializedElement, rr group.Scalar) (*Proof, error) { pkS := s.privateKey.Public() pkSm, err := pkS.Serialize() if err != nil { @@ -106,23 +115,23 @@ func (s *Server) generateProof(b []Blinded, eval []SerializedElement) (*Proof, e if err != nil { return nil, err } + M := s.Group.NewElement() err = M.UnmarshalBinary(a0) if err != nil { return nil, err } - rr := s.suite.Group.RandomScalar(rand.Reader) a2e := s.Group.NewElement() a2e.MulGen(rr) - a2, err := a2e.MarshalBinary() + a2, err := a2e.MarshalBinaryCompress() if err != nil { return nil, err } a3e := s.Group.NewElement() a3e.Mul(M, rr) - a3, err := a3e.MarshalBinary() + a3, err := a3e.MarshalBinaryCompress() if err != nil { return nil, err } diff --git a/src/circl/oprf/testdata/allVectors_v06.json b/src/circl/oprf/testdata/allVectors_v06.json index a81e4f614e5..3026b03e72b 100644 --- a/src/circl/oprf/testdata/allVectors_v06.json +++ b/src/circl/oprf/testdata/allVectors_v06.json @@ -1,406 +1,391 @@ [ { + "groupDST": "564f50524630362d48617368546f47726f75702d000001", "hash": "SHA512", "mode": 0, - "skSm": "c604c785ada70d77a5256ae21767de8c3304115237d262134f5e46e512cf8e03", + "seed": "a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3", + "skSm": "031806835f6808c8ac3808672e25a7802d94346bb33b52d712331f34faa64d08", "suiteID": 1, "suiteName": "OPRF(ristretto255, SHA-512)", "vectors": [ { "Batch": 1, - "Blind": "5ed895206bfc53316d307b23e46ecc6623afb3086da74189a416012be037e50b", - "BlindedElement": "5cccd309ec729aebe398c53e19c0ab09c24a29f01036960bdad109852e7bdb44", - "EvaluationElement": "86bd5eeabf29a87cb4a5c7207cb3ade5297e65f9b74c979bd3551891f4b21515", - "Info": "736f6d655f696e666f", + "Blind": "c604c785ada70d77a5256ae21767de8c3304115237d262134f5e46e512cf8e03", + "BlindedElement": "3c7f2d901c0d4f245503a186086fbdf5d8b4408432b25c5163e8b5a19c258348", + "EvaluationElement": "1a34dc32aa2a725530c9d4d32485427889e8e97f4e9d353d19096ed3d83dd93e", "Input": "00", - "Output": "53c8441196248d38e0cb0cff2434962cce879069f15fe78bd56474e0bc324df1cbff4dbbf190e2269e07e02496ec19674e4e8d316d4e211d9240de91027228de", - "UnblindedElement": "3c7f2d901c0d4f245503a186086fbdf5d8b4408432b25c5163e8b5a19c258348" + "Output": "6b6e7c7820a781f6d2b01d54df03afcf3c3a6769fca4ea9afbde6a0003417cb13feaa6362979c8d48541b675584cc0d15ace06488c37681fc75b13e2fa94c2f1" }, { "Batch": 1, - "Blind": "ed8366feb6b1d05d1f46acb727061e43aadfafe9c10e5a64e7518d63e3263503", - "BlindedElement": "227d63ca69e93bd062193c1e97fff3d5ebf628f646009d77c4e22ba6429be154", - "EvaluationElement": "063b91a12e7cbb98dfeb75d8a7eeb83aacf9fd6df7e0b4197466fb77a27fa631", - "Info": "736f6d655f696e666f", + "Blind": "5ed895206bfc53316d307b23e46ecc6623afb3086da74189a416012be037e50b", + "BlindedElement": "28a5e797b710f76d20a52507145fbf320a574ec2c8ab0e33e65dd2c277d0ee56", + "EvaluationElement": "5a085a73daacdbf274dd3fc2e539463d2ebb6ba73ebcdbce24a86e85e2268616", "Input": "5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", - "Output": "96fd02b11327e318655773bff4ebe3608090d1980c020d7cf399afdaae450b5d03d9fde445cd71bde6b0d186982e59f7f2d858fb6739a1ca26a037ff039f4f31", - "UnblindedElement": "804ec6774764ed50a0bbad0a5f477aa04df7323acab8f98ca6e468b7790bca4c" + "Output": "ef537f82bfa935b942c2490bf4974e59ec95db16f48a952053fe34967bdea1c7a6d6f624d5ad80e412d132c123cd96c40bde77bbb0d73b407ef5241a36b69ece" } ] }, { + "groupDST": "564f50524630362d48617368546f47726f75702d010001", "hash": "SHA512", "mode": 1, - "pkSm": "eee7a9c7fec3460c27c160c683d46a4fd18f537c055c3998748b8e4cd8f29b3e", - "skSm": "019cbd1d7420292528f8cdd62f339fdabb602f04a95dac9dbcec831b8c681a09", + "pkSm": "2cb7002ab1fa2b15d873f897b89402bdbc9f97b21762f3fc185cbba6e5718903", + "seed": "a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3", + "skSm": "031806835f6808c8ac3808672e25a7802d94346bb33b52d712331f34faa64d08", "suiteID": 1, "suiteName": "OPRF(ristretto255, SHA-512)", "vectors": [ { "Batch": 1, - "Blind": "89c61a42c8191a5ca41f2fe959843d333bcf43173b7de4c5c119e0e0d8b0e707", - "BlindedElement": "78a09c84ecf234df4a46c3695f1be3b9c045476b6826bc7bc7827c29a4978022", - "EvaluationElement": "5679669e01363a05e3da803c0b0cd76bffecd8048ec81eeeb391b7301e93aa2e", + "Blind": "ed8366feb6b1d05d1f46acb727061e43aadfafe9c10e5a64e7518d63e3263503", + "BlindedElement": "9cf00acd9be7d00b87012823aec2480afac98468fc7e0766e52c2c42eb66802a", + "EvaluationElement": "aea80b7accd371ee8960c3a59d86960f6538abef8057f1d98210d7e720364435", "EvaluationProof": { - "c": "673b5e2d75540afdacd7b6183c3a84323f1822b60c8ee9d90088fa3b3a508908", - "s": "a1edd24e73bffabff314d9cc7ad1af6f0b2cae7ec88bcef08e7efedc9d0eb00e" + "c": "505093c502120000e02f015a082ab611960aa9544d379d152e45b0caf7e07202", + "r": "019cbd1d7420292528f8cdd62f339fdabb602f04a95dac9dbcec831b8c681a09", + "s": "ece9563dfbd6a2af2b6753caf3fb0228f16022ca51b20297254a1e952613e204" }, - "Info": "736f6d655f696e666f", "Input": "00", - "Output": "851f5e0b699b296cfd97428de293be225b687559962106a3701df6c8b6656c45bcb8e2cc6e9608d59d9a64bbcaa8ecfc08745f3b5c279fdef5f49e5696e4244e", - "UnblindedElement": "269a8a1f845eb7a767b8b2706198388bad8271bdbb5fac48ee2b21116395631f" + "Output": "79e119f5ff6ea18b6572792253570ac1e9a831ce76b01e214c9731f9d2eb5458ccd320855796f5d382b61484c03f263397c81fda5915cf5cbdc0e94c7da625e2" }, { "Batch": 1, - "Blind": "8d665022e9ad52b74c04a426f8af36205e81997c2175079b22a0b0a16270c909", - "BlindedElement": "8e7060a2608dbbb1ba03922d7c633daca752400da8ee75af7925e1affcf99871", - "EvaluationElement": "a8208b606a6af1f7e2c5b155f908197aa786aba72585103bba35fa9ad703f426", + "Blind": "e6d0f1d89ad552e383d6c6f4e8598cc3037d6e274d22da3089e7afbd4171ea02", + "BlindedElement": "9669e8326632c31ddac138b1da65cf39bdc6fa085050f5afd2bfedf3dc1a3313", + "EvaluationElement": "308db64194f96845c75105ab9aa8be7fb2563ad678de8ad8095ffa070ab9b31a", "EvaluationProof": { - "c": "025e0a1e109baa97cea27550cf432d596e48bab2b1b0cf95c9af25fd89431e06", - "s": "295f8cb05f90f6c28b9e707fe5acc29dbe31b50375a64403f965116afe5d7501" + "c": "ef31a128f65868b895a3e8aa0387951c0e7dcd1e863a1b980b9e416d2656900e", + "r": "74ae06fd50d5f26c2519bd7b184f45dd3ef2cb50197d42df9d013f7d6c312a0b", + "s": "c8a60f50672e1bb572edf65ba563cf08371253ccf595aef5c28f79d15f449105" }, - "Info": "736f6d655f696e666f", "Input": "5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", - "Output": "afd882f35e4ae086fe00668b334f4290f70f63c89559b0b990d7b1d60c6157cc0ecb80e76e515fe66c24c06ef3a7638493431ad43cf00e03e980b13a2009b4ee", - "UnblindedElement": "ccfa691bc7c0bd5a19546bc748fecca1661480fe304e881b4ce661766ac2cf76" + "Output": "92b2f2af62636725420186a41392483a69b36654e61a73c249dcc9487e6be818af094a35cffb710bf57f02c6d38dec162533395c5975ca9ecb2266cf09f484b3" }, { "Batch": 2, - "Blind": "3af5aec325791592eee4a8860522f8444c8e71ac33af5186a9706137886dce08,8bcb0b70dac18de24eef12e737d6b28724d3e37774e0b092f9f70b255defaf04", - "BlindedElement": "b8a0b4d0c056628131cd8ed1ea87cacecf6e09740c14a32c3e0a2820e43afb3c,50a6b8dc62e95ac34320d7ceac08f4002710fdc49e56bde78b092d01cad93e50", - "EvaluationElement": "12619d1c02de52189fa92f312eabe3062f627f0a75ccacd416d6dd2b71286e31,0093e963653200cacd9215833086a59e333db4b5f260db6a44c81e8c7de59a5e", + "Blind": "80513e77795feeec6d2c450589b0e1b178febd5c193a9fcba0d27f0a06e0d50f,533c2e6d91c934f919ac218973be55ba0d7b234160a0d4cf3bddafbda99e2e0c", + "BlindedElement": "6620ec0b7dc26cb6a6cc7a72ecf28971863861b88363b374f91c44c056544245,06f533d9495a54252c2ccced2edb2fb5840f9cf8462a8233a7b4ec2d5f788348", + "EvaluationElement": "90b94ca36ee58c58f00a394535720a333fe532f99863705ab503cccde20fe366,0c16a51a44298b96bc404046cc4e10cebfa8184583feb867cb8ae058b1a0f11d", "EvaluationProof": { - "c": "5ed544c7e6b8f8ab3d15d1650577a76107ba28986c6a600f4eceff259110e40a", - "s": "1cf74024f8d29c73d92d536b60e196d78bdeaf6c3481b62e8cd8cf85c128be03" + "c": "d87de9a8b240e3d4f37bec9691bb278c8bdd75c11acd0420778efe817c75b607", + "r": "3af5aec325791592eee4a8860522f8444c8e71ac33af5186a9706137886dce08", + "s": "1a0de926efd4d8cc5607ecb04413cb5b3d668bd779b3c045d1168b58af1c670c" }, - "Info": "736f6d655f696e666f", "Input": "00,5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", - "Output": "851f5e0b699b296cfd97428de293be225b687559962106a3701df6c8b6656c45bcb8e2cc6e9608d59d9a64bbcaa8ecfc08745f3b5c279fdef5f49e5696e4244e,afd882f35e4ae086fe00668b334f4290f70f63c89559b0b990d7b1d60c6157cc0ecb80e76e515fe66c24c06ef3a7638493431ad43cf00e03e980b13a2009b4ee", - "UnblindedElement": "269a8a1f845eb7a767b8b2706198388bad8271bdbb5fac48ee2b21116395631f,ccfa691bc7c0bd5a19546bc748fecca1661480fe304e881b4ce661766ac2cf76" + "Output": "79e119f5ff6ea18b6572792253570ac1e9a831ce76b01e214c9731f9d2eb5458ccd320855796f5d382b61484c03f263397c81fda5915cf5cbdc0e94c7da625e2,92b2f2af62636725420186a41392483a69b36654e61a73c249dcc9487e6be818af094a35cffb710bf57f02c6d38dec162533395c5975ca9ecb2266cf09f484b3" } ] }, { + "groupDST": "564f50524630362d48617368546f47726f75702d000002", "hash": "SHA512", "mode": 0, - "skSm": "c4d5a15f0d5ffc354e340454ec779f575e4573a3886ab5e57e4da2985cea9e32f6d95539ce2c7189e1bd7462a21723e92e2e9955ef20a92c", + "seed": "a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3a3", + "skSm": "9a0d56305d39170591a216d9151c3e7643bd617dade5a7706094e0f90a9704b31d9f9310fb85d5015e236ab088df6573a6a9f3ef16edd301", "suiteID": 2, "suiteName": "OPRF(decaf448, SHA-512)", "vectors": [ { "Batch": 1, - "Blind": "5843ebd3618d4fad8b7288477da50bed9befa58af639ddd950fec34205f8a4f166fadcb8fa71a3ffdd2e98f422bf7b99be19f7da1fab583c", - "BlindedElement": "84be45bb776f8f15e8ed716663a010773cb44ad3b2c4dc66948c2972bac99913308f160737e3f32a44349584a4b6ef4adf924f5fcc192d17", - "EvaluationElement": "a6cf272ceb18e8f6abcf9216819b0b2265ad10502633d0871b102b5ea7f574d9c6852af32f1082b578878bd09709df1897aa064f52b16414", - "Info": "736f6d655f696e666f", + "Blind": "d1080372f0fcf8c5eace50914e7127f576725f215cc7c111673c635ce668bbbb9b50601ad89b358ab8c23ed0b6c9d040365ec9d060868714", + "BlindedElement": "0e5e2ac2924bee04fa1ae372a6a26f6f71972372494c08433d6766aeb103c2aef393e06cdc52ed270f1c94e4538068ab724d84ad217f7b2c", + "EvaluationElement": "762c94801e6d287f14116bcf1c66ac62218d31e503112c9e5ee979d356c0d187f93ad148bd356bfcda926c9e76536788bcc1a0b72fb63451", "Input": "00", - "Output": "e0409c1eaa2cb3166cb4f8799c8b8054fc30139caf3339ac541438af117a0a6f7a03db76fa83aaa84a5ce8145341fb707bf06b2e9aa027b5613a7ddb09f3fc7b", - "UnblindedElement": "0cedeea1ef6934cff2d95b2af842806d7364312d8845504ae31dac84511a92285d20cb281e13797f37b4415f117915106b9bf3a0a462eee9" + "Output": "a912dcf725e4fe698e2fd7ea8d9c58f21516679eff09c77f922671e0199feb9d62f9b39eb2a0937846474af426654dbba4e7bdd216932b9b9cf449120d1a6205" }, { "Batch": 1, - "Blind": "5a9d35a225ec6340149a0aaf99870019c3d002aa4cfcf281657cf36fe562bc60d9133e0e72a74432f685b2b620a55561604bb5783ca7f11d", - "BlindedElement": "f0d1f1eb43b85e6dde38c0526151db3745b672667bef97bb0a3553e191ad47f8c04e4a4c1588f028afecc170f15baeea2d44e86fe67982f8", - "EvaluationElement": "f60cf47549fa62e72ae7253a4d42a8fc6ca70e0ac0ddc31930627692eb3096792cf988115f792c99c03b08b0a5d07f2a2b7141dcb8c73cb9", - "Info": "736f6d655f696e666f", + "Blind": "aed1ffa44fd8f0ed16373606a3cf7df589cca86d8ea1abbf5768771dbef3d401c74ae55ba1e28b9565e1e4018eb261a14134a4ce60c1c718", + "BlindedElement": "0016392cdfbe773dd6740eaa7b41ad19b62b7552a5fff88a33790391c656726e7c7b346c2d6989085c6bc11b31a14b15ba2340f776891dc0", + "EvaluationElement": "e2920fe306f36ee25d31ee087b4341005340d3268d6f04cbd80bf2dd1d9355c73d797c529b9ae4c6cbf596346a232fe9d6c9247e3f6891df", "Input": "5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", - "Output": "eda4b68203b190cf690214f6068d174d795406a106bbe07f8a20fd66a8342bb2a31a49739b593544601039613be85900f4ae79711e8a706c2a74174d4c8677b2", - 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"s": "00532d796210ea9e5eea285d358c8fdb4a1e8bc75593892765e13db6f64a52830fa2c55a1e5039f4aeea2309bdb1bb55f964113d4b25fd169cb91fd93dce6afd6199" + "c": "00c3dfb0f1ceeb63efde4099ada3df76b39f5f6870ea128e0b7a537119e3018f474149385b3890a06d4efa2c5e4a1c4d52f44bd77931c698fb739b93f85f10663107", + "r": "00b5dfc19eb96faba6382ec845097904db87240b9dd47b1e487ec625f11a7ba2cc3de74c5078a81806f74dd65065273c5bd886c7f87ff8c5f39f90320718eff747e3", + "s": "007bf680d9bf9fc615d4ef572e1848b7706b576022613eae3ddc98569c9c45312c3b6ed5c2dad5b369473c4cb03d0cba4f03f1e6194a3dc5539b11064a50cb36c5a6" }, - "Info": "736f6d655f696e666f", "Input": "5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", - "Output": "d9ee7a801a46c8c5c69c11340073b56f6ed4bec7a2b31b6e6776246beb9717f37c966f3e98f2156a3905f8c4ddc3740afaa653333718c37e46b5d06e4570d7b0", - "UnblindedElement": "02001f091d698d71ab48a00104ef005dd1feb85ca48bc5d113c9e6c2df3f079b8888d1ef24e0bfee75d90c712bc5d7ecd655b32cb7f0259654bacbf9766801ecc9a29f" + "Output": "1718de160ae4b4d52cd6e16a31b12b194f73d575dffdd5775247790ee850c3f308aeb7a5c25e5ab591d6cd41666d26e39c91d879272cddccee4a359a95e82f54" }, { "Batch": 2, - "Blind": "01daf5685928c72d9dab8ddfe45de734ce0d4ff5823d2e40c4fcf880e9a8272b46eea593b1095e7d38ba6ff37c42b3c4859761247a74d0c62c98ddff1365bb9b82b3,00b96540574e2bc92534ac475d6a3649f3e9cdf20a7e882066be571714f5db073555bc1bfebe1d50a04fd6656a439cf465109653bf8e484c01c5f8516f98f3159b40", - "BlindedElement": "0300d45e787f24a39c52cc290f0b202c03d320b1213a9dd4429df6b7f455a954b85815b5b379db5b4b9d665abaaf26366c91b8cd4884a2cddbf5be07420726de773fb7,030122ca1ad84feb6dc2832373011608a6d7f7f8e632c66cc6e134de50aa4317caa9c9b11cb281ae7dea4286a7c217cb9937d470f28a8c800dce277a759342dd9a3e0d", - "EvaluationElement": "0301d8af9135b69b174238acd802e31323e84f9f66c7d3ca68659ccd4456f16af156c15d48c8d7003f64fc8d814d09e5e4f0bf54dfd719ddaf1019f667ea0f9e58afed,0300e253175c05483e6696eb6447f4e3ae87c0764909749a64c902dbe11a8d575e59d13c86f499483f99d707d5485ca441e48cc9e0f78fbb22225b91c8870f8d094aae", + "Blind": "01c6cf092d80c7cf2cb55388d899515238094c800bdd9c65f71780ba85f5ae9b4703e17e559ca3ccd1944f9a70536c175f11a827452672b60d4e9f89eba281046e29,00cba1ba1a337759061965a423d9d3d6e1e1006dc8984ad28a4c93ecfc36fc2171046b3c4284855cfa2434ed98db9e68a597db2c14728fade716a6a82d600444b26e", + "BlindedElement": "0300be204aba0367d902f293aa8bda66a136f7e3962dfafab88ba04aacf62a4e63993060704cd1714cf7af4e16ea0a1c91ff7506a65b40253f6ae019b7a6160d50c814,0200082b5f723e4a635902e5bbf27fea807792399af5ac8d276bc6aa62bc1685cb6bdb2ff1c92979d4413da3627df180d709ddd03597fc8f095c6826fd97e8adbceca9", + "EvaluationElement": "02000c06fac6eb3c7f72ae831fd7040c51ff6c4d4d0861d7c79a29147103cb74be98f117ff896d9aa649a3ce62faddc7cdeee3b22c0ffa6bde7c86b6bb70b130fd75f3,0200ffacea2081f3e2325b9006fcde2e5ad027d1999192b136a79a5d01abf499f4c361b0284bf4c7ff4b58b36bd51c572dfae9560d6a74244fab80208685e98ad3ed2f", "EvaluationProof": { - "c": "00ef808190325fb49195e5244c1477694ef2770626369dd0ad0a428a0482ae69b837ff8e9d34e347ee8bf5e6a30d6ef7b9c8e995ef3aca5a45218c5ff97cf4bade00", - "s": "01b7c17f5474a7fdd637e6351566b7606e1b03ac034728e245a855278bc245fe2d1fb6c93180b4904f1037909d2ea8746ac806e507b7de668cc130de7264da4003e2" + "c": "01b332952114e5872163edd501ca381a502deb8009ebe578a8675f3ac65e2fb48e70c76a7d0476a72af12caf5716fbea3ab66fb3cdc3c30c5ac382964f8a202f377c", + "r": "00d47b0d4ca4c64825ba085de242042b84d9ebe3b2e9de07678ff96713dfe16f40f2c662a56ed2db95e1e7bf2dea02bd1fa76e953a630772f68b53baade9962d1646", + "s": "009e8332567d0ec42ced34b0129688c4d80caa43fefb081f36ddf062fcc82dd31ee819b07e70b52e6ad65c419d3f96b3d492191913ff9615371a4b715091e7f1baea" }, - "Info": "736f6d655f696e666f", "Input": "00,5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a5a", - "Output": "5670e106e2d41747c7b1ac1902818022fe3019062f2cbe57810d21be5cad0abf32093be1b3db99dc49ce5d2b39c4667a88a397dedff2068286c49f2c11f2b5ed,d9ee7a801a46c8c5c69c11340073b56f6ed4bec7a2b31b6e6776246beb9717f37c966f3e98f2156a3905f8c4ddc3740afaa653333718c37e46b5d06e4570d7b0", - "UnblindedElement": "02006ff10e5a67d2f1b7dd74e5b3d927478b25eecd1cdf068139f30dc269f9dc31805b0ef8f2481b922b3b8e90a7a821b3cdb5e0cb4ae4d64eac735693038b6cc4503e,02001f091d698d71ab48a00104ef005dd1feb85ca48bc5d113c9e6c2df3f079b8888d1ef24e0bfee75d90c712bc5d7ecd655b32cb7f0259654bacbf9766801ecc9a29f" + "Output": "ac58e69b069115d6045a579c15f6d8acb7b79c9f2e282a04418614acdf47c188458bedd62df32723824ec36290b0f3d58a5b6449617c9d9f6c62bbcdedf2a0bc,1718de160ae4b4d52cd6e16a31b12b194f73d575dffdd5775247790ee850c3f308aeb7a5c25e5ab591d6cd41666d26e39c91d879272cddccee4a359a95e82f54" } ] } diff --git a/src/circl/oprf/vectors_test.go b/src/circl/oprf/vectors_test.go index 4185c28ce92..b857cdffc13 100644 --- a/src/circl/oprf/vectors_test.go +++ b/src/circl/oprf/vectors_test.go @@ -10,29 +10,31 @@ import ( "strings" "testing" + "circl/group" "circl/internal/test" ) type vector struct { - ID uint16 `json:"suiteID"` - Name string `json:"suiteName"` - Mode uint8 `json:"mode"` - Hash string `json:"hash"` - PkSm string `json:"pkSm"` - SkSm string `json:"skSm"` - Vectors []struct { + ID uint16 `json:"suiteID"` + Name string `json:"suiteName"` + Mode uint8 `json:"mode"` + Hash string `json:"hash"` + PkSm string `json:"pkSm"` + SkSm string `json:"skSm"` + Seed string `json:"seed"` + GroupDST string `json:"groupDST"` + Vectors []struct { Batch int `json:"Batch"` Blind string `json:"Blind"` BlindedElement string `json:"BlindedElement"` EvaluationElement string `json:"EvaluationElement"` EvaluationProof struct { + R string `json:"r"` C string `json:"c"` S string `json:"s"` } `json:"EvaluationProof"` - Info string `json:"Info"` - Input string `json:"Input"` - Output string `json:"Output"` - UnblindedElement string `json:"UnblindedElement"` + Input string `json:"Input"` + Output string `json:"Output"` } `json:"vectors"` } @@ -51,6 +53,14 @@ func toListBytes(t *testing.T, s, errMsg string) [][]byte { return out } +func toScalar(t *testing.T, g group.Group, s, errMsg string) group.Scalar { + r := g.NewScalar() + rBytes := toBytes(t, s, errMsg) + err := r.UnmarshalBinary(rBytes) + test.CheckNoErr(t, err, errMsg) + return r +} + func readFile(t *testing.T, fileName string) []vector { jsonFile, err := os.Open(fileName) if err != nil { @@ -68,10 +78,16 @@ func readFile(t *testing.T, fileName string) []vector { } func (v *vector) SetUpParties(t *testing.T) (s *Server, c *Client) { - skSm := toBytes(t, v.SkSm, "private key") - privateKey := new(PrivateKey) - err := privateKey.Deserialize(v.ID, skSm) - test.CheckNoErr(t, err, "invalid private key") + seed := toBytes(t, v.Seed, "seed for keys") + privateKey, err := DeriveKey(v.ID, seed) + test.CheckNoErr(t, err, "deriving key") + + got, err := privateKey.Serialize() + test.CheckNoErr(t, err, "serlalizing key") + want := toBytes(t, v.SkSm, "private key") + if !bytes.Equal(got, want) { + test.ReportError(t, got, want, v.Name, v.Mode) + } if v.Mode == BaseMode { s, err = NewServer(v.ID, privateKey) @@ -102,6 +118,12 @@ func (v *vector) compareLists(t *testing.T, got, want [][]byte) { } } +func (v *vector) compareStrings(t *testing.T, got, want string) { + if got != want { + test.ReportError(t, got, want, v.Name, v.Mode) + } +} + func (v *vector) test(t *testing.T) { server, client := v.SetUpParties(t) @@ -131,22 +153,21 @@ func (v *vector) test(t *testing.T) { toListBytes(t, vi.BlindedElement, "blindedElement"), ) - eval, err := server.Evaluate(clientReq.BlindedElements) + rr := toScalar(t, client.suite.Group, vi.EvaluationProof.R, "invalid proof random scalar") + + eval, err := server.evaluateWithProofScalar(clientReq.BlindedElements, rr) test.CheckNoErr(t, err, "invalid evaluation") v.compareLists(t, eval.Elements, toListBytes(t, vi.EvaluationElement, "evaluation"), ) - unblindedToken, err := client.unblind(eval.Elements, clientReq.blinds) - test.CheckNoErr(t, err, "invalid unblindedToken") - v.compareLists(t, - unblindedToken, - toListBytes(t, vi.UnblindedElement, "unblindedelement"), - ) + if v.Mode == VerifiableMode { + v.compareStrings(t, hex.EncodeToString(eval.Proof.C), vi.EvaluationProof.C) + v.compareStrings(t, hex.EncodeToString(eval.Proof.S), vi.EvaluationProof.S) + } - info := toBytes(t, vi.Info, "info") - outputs, err := client.Finalize(clientReq, eval, info) + outputs, err := client.Finalize(clientReq, eval) test.CheckNoErr(t, err, "invalid finalize") expectedOutputs := toListBytes(t, vi.Output, "output") v.compareLists(t, @@ -155,7 +176,7 @@ func (v *vector) test(t *testing.T) { ) for j := range inputs { - output, err := server.FullEvaluate(inputs[j], info) + output, err := server.FullEvaluate(inputs[j]) test.CheckNoErr(t, err, "invalid full evaluate") got := output want := expectedOutputs[j] @@ -163,7 +184,7 @@ func (v *vector) test(t *testing.T) { test.ReportError(t, got, want, v.Name, v.Mode, i, j) } - test.CheckOk(server.VerifyFinalize(inputs[j], info, output), "verify finalize", t) + test.CheckOk(server.VerifyFinalize(inputs[j], output), "verify finalize", t) } } } diff --git a/src/circl/pke/kyber/internal/common/amd64.s b/src/circl/pke/kyber/internal/common/amd64.s index 80b851ad6b6..d8205465e17 100644 --- a/src/circl/pke/kyber/internal/common/amd64.s +++ b/src/circl/pke/kyber/internal/common/amd64.s @@ -1440,7 +1440,7 @@ TEXT ·invNttAVX2(SB), NOSPLIT, $0-8 // func mulHatAVX2(p *[256]int16, a *[256]int16, b *[256]int16) // Requires: AVX, AVX2 -TEXT ·mulHatAVX2(SB), NOSPLIT, $0-24 +TEXT ·mulHatAVX2(SB), NOSPLIT, $8-24 MOVQ p+0(FP), AX MOVQ a+8(FP), CX MOVQ b+16(FP), DX diff --git a/src/circl/sign/dilithium/internal/common/amd64.s b/src/circl/sign/dilithium/internal/common/amd64.s index 24f2721e03b..128bff3c39b 100644 --- a/src/circl/sign/dilithium/internal/common/amd64.s +++ b/src/circl/sign/dilithium/internal/common/amd64.s @@ -9154,7 +9154,7 @@ TEXT ·decomposeAVX2(SB), NOSPLIT, $0-24 // func makeHintAVX2(p *[256]uint32, p0 *[256]uint32, p1 *[256]uint32) uint32 // Requires: AVX, AVX2, POPCNT -TEXT ·makeHintAVX2(SB), NOSPLIT, $0-28 +TEXT ·makeHintAVX2(SB), NOSPLIT, $8-28 MOVQ p+0(FP), AX MOVQ p0+8(FP), CX MOVQ p1+16(FP), DX diff --git a/src/circl/sign/sign.go b/src/circl/sign/sign.go index 36fd1e28f38..0fedb7396e5 100644 --- a/src/circl/sign/sign.go +++ b/src/circl/sign/sign.go @@ -49,11 +49,15 @@ type Scheme interface { // Creates a signature using the PrivateKey on the given message and // returns the signature. opts are additional options which can be nil. + // + // Panics if key is nil or wrong type or opts context is not supported. Sign(sk PrivateKey, message []byte, opts *SignatureOpts) []byte // Checks whether the given signature is a valid signature set by // the private key corresponding to the given public key on the // given message. opts are additional options which can be nil. + // + // Panics if key is nil or wrong type or opts context is not supported. Verify(pk PublicKey, message []byte, signature []byte, opts *SignatureOpts) bool // Deterministically derives a keypair from a seed. If you're unsure, diff --git a/src/circl/simd/keccakf1600/f1600x.go b/src/circl/simd/keccakf1600/f1600x.go index 42da7136306..4550270fb16 100644 --- a/src/circl/simd/keccakf1600/f1600x.go +++ b/src/circl/simd/keccakf1600/f1600x.go @@ -61,7 +61,10 @@ func IsEnabledX4() bool { return cpu.X86.HasAVX2 } // IsEnabledX2 returns true if the architecture supports a two-way SIMD // implementation provided in this package. -func IsEnabledX2() bool { return cpu.ARM64.HasSHA3 } +func IsEnabledX2() bool { + // After Go 1.16 the flag cpu.ARM64.HasSHA3 is no longer exposed. + return false +} // Initialize the state and returns the buffer on which the four permutations // will act: a uint64 slice of length 100. The first permutation will act From 33dbd35299da2a8afff29070ccb53cb1f3c7cc6b Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Mon, 15 Mar 2021 14:19:47 +0000 Subject: [PATCH 19/69] crypto/tls: fixes individual testing by adding insecure verify #62 --- src/crypto/tls/delegated_credentials_test.go | 1 + 1 file changed, 1 insertion(+) diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 5578b2ccec9..57e9cf42c20 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -570,6 +570,7 @@ func TestDCHandshakeServerAuth(t *testing.T) { clientConfig := dcTestConfig.Clone() serverConfig := dcTestConfig.Clone() serverConfig.GetCertificate = testServerGetCertificate + clientConfig.InsecureSkipVerify = true for i, test := range dcTests { clientConfig.SupportDelegatedCredential = test.clientDCSupport From 76b537c156a7cb5b1dede9b1f24df18067a3ed07 Mon Sep 17 00:00:00 2001 From: Christopher Patton Date: Thu, 18 Mar 2021 15:40:21 -0700 Subject: [PATCH 20/69] circl: Update to 3977848c88c641772e447c63a0ec29c8f4085e58 This change upgrades CIRCL's implementation of draft-irtf-cfrg-hpke-07 to 08. This breaks unit tests for ECH in crypto/tls, which currently expects HPKE-07. It also modifies the implementation of OPRF. Manually removed Ristretto code, which includes external dependencies that break ./all.bash. --- src/circl/hpke/hpke.go | 2 +- ...tors_v07.json => vectors_v08_779d028.json} | 2 +- src/circl/hpke/vectors_test.go | 4 +- src/circl/oprf/client.go | 72 +++++++++++------- src/circl/oprf/oprf.go | 73 +++++++++---------- src/circl/oprf/oprf_test.go | 2 +- src/circl/oprf/server.go | 38 ++++++---- src/circl/oprf/vectors_test.go | 4 +- 8 files changed, 111 insertions(+), 86 deletions(-) rename src/circl/hpke/testdata/{vectors_v07.json => vectors_v08_779d028.json} (52%) diff --git a/src/circl/hpke/hpke.go b/src/circl/hpke/hpke.go index 10d2e4ddf08..8c347156f7f 100644 --- a/src/circl/hpke/hpke.go +++ b/src/circl/hpke/hpke.go @@ -22,7 +22,7 @@ import ( "circl/kem" ) -const versionLabel = "HPKE-07" +const versionLabel = "HPKE-v1" // Context defines the capabilities of an HPKE context. type Context interface { diff --git a/src/circl/hpke/testdata/vectors_v07.json b/src/circl/hpke/testdata/vectors_v08_779d028.json similarity index 52% rename from src/circl/hpke/testdata/vectors_v07.json rename to src/circl/hpke/testdata/vectors_v08_779d028.json index 434a1ceae7e..450dca4f560 100644 --- a/src/circl/hpke/testdata/vectors_v07.json +++ b/src/circl/hpke/testdata/vectors_v08_779d028.json @@ -1 +1 @@ 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\ No newline at end of file diff --git a/src/circl/hpke/vectors_test.go b/src/circl/hpke/vectors_test.go index d6e587b53c8..b1240b7c056 100644 --- a/src/circl/hpke/vectors_test.go +++ b/src/circl/hpke/vectors_test.go @@ -15,8 +15,8 @@ import ( func TestVectors(t *testing.T) { // Test vectors from - // https://github.com/cfrg/draft-irtf-cfrg-hpke/blob/draft-irtf-cfrg-hpke-07/test-vectors.json - vectors := readFile(t, "testdata/vectors_v07.json") + // https://github.com/cfrg/draft-irtf-cfrg-hpke/blob/master/test-vectors.json + vectors := readFile(t, "testdata/vectors_v08_779d028.json") for i, v := range vectors { t.Run(fmt.Sprintf("v%v", i), v.verify) } diff --git a/src/circl/oprf/client.go b/src/circl/oprf/client.go index b4e82f72a3d..4b81e40b745 100644 --- a/src/circl/oprf/client.go +++ b/src/circl/oprf/client.go @@ -3,6 +3,8 @@ package oprf import ( "crypto/rand" "errors" + + "circl/group" ) // Client is a representation of a OPRF client during protocol execution. @@ -13,9 +15,22 @@ type Client struct { // ClientRequest is a structure to encapsulate the output of a Request call. type ClientRequest struct { - inputs [][]byte - blinds []Blind - BlindedElements []Blinded + inputs [][]byte + blinds []Blind + elements []group.Element +} + +// BlindedElements returns the serialized blinded elements produced for the client request. +func (r ClientRequest) BlindedElements() [][]byte { + var err error + serializedBlinds := make([][]byte, len(r.elements)) + for i := range r.elements { + serializedBlinds[i], err = r.elements[i].MarshalBinaryCompress() + if err != nil { + return nil + } + } + return serializedBlinds } // NewClient creates a client in base mode. @@ -58,14 +73,11 @@ func (c *Client) Request(inputs [][]byte) (*ClientRequest, error) { } func (c *Client) blind(inputs [][]byte, blinds []Blind) (*ClientRequest, error) { - var err error - blindedElements := make([]Blinded, len(inputs)) + blindedElements := make([]group.Element, len(inputs)) for i := range inputs { p := c.suite.Group.HashToElement(inputs[i], c.suite.getDST(hashToGroupDST)) - blindedElements[i], err = c.scalarMult(p, blinds[i]) - if err != nil { - return nil, err - } + blindedElements[i] = c.suite.Group.NewElement() + blindedElements[i].Mul(p, blinds[i]) } return &ClientRequest{inputs, blinds, blindedElements}, nil } @@ -75,17 +87,27 @@ func (c *Client) blind(inputs [][]byte, blinds []Blind) (*ClientRequest, error) // to verify the proof in verifiable mode. func (c *Client) Finalize(r *ClientRequest, e *Evaluation) ([][]byte, error) { l := len(r.blinds) - if len(r.BlindedElements) != l || len(e.Elements) != l { + if len(r.elements) != l || len(e.Elements) != l { return nil, errors.New("mismatch number of elements") } + var err error + evals := make([]group.Element, len(e.Elements)) + for i := range e.Elements { + evals[i] = c.suite.Group.NewElement() + err = evals[i].UnmarshalBinary(e.Elements[i]) + if err != nil { + return nil, err + } + } + if c.Mode == VerifiableMode { - if !c.verifyProof(r.BlindedElements, e) { + if !c.verifyProof(r.elements, evals, *e.Proof) { return nil, errors.New("invalid proof") } } - unblindedElements, err := c.unblind(e.Elements, r.blinds) + unblindedElements, err := c.unblind(evals, r.blinds) if err != nil { return nil, err } @@ -96,29 +118,29 @@ func (c *Client) Finalize(r *ClientRequest, e *Evaluation) ([][]byte, error) { return outputs, nil } -func (c *Client) verifyProof(blinds []Blinded, e *Evaluation) bool { +func (c *Client) verifyProof(blinds []group.Element, elements []group.Element, proof Proof) bool { pkSm, err := c.pkS.Serialize() if err != nil { return false } - a0, a1, err := c.computeComposites(pkSm, blinds, e.Elements, nil) + + M, Z, err := c.computeComposites(nil, c.pkS.e, blinds, elements) if err != nil { return false } - M := c.suite.Group.NewElement() - err = M.UnmarshalBinary(a0) + + a0, err := M.MarshalBinaryCompress() if err != nil { return false } - Z := c.suite.Group.NewElement() - err = Z.UnmarshalBinary(a1) + a1, err := Z.MarshalBinaryCompress() if err != nil { return false } sG := c.suite.Group.NewElement() ss := c.suite.Group.NewScalar() - err = ss.UnmarshalBinary(e.Proof.S) + err = ss.UnmarshalBinary(proof.S) if err != nil { return false } @@ -126,7 +148,7 @@ func (c *Client) verifyProof(blinds []Blinded, e *Evaluation) bool { cP := c.suite.Group.NewElement() cc := c.suite.Group.NewScalar() - err = cc.UnmarshalBinary(e.Proof.C) + err = cc.UnmarshalBinary(proof.C) if err != nil { return false } @@ -151,17 +173,13 @@ func (c *Client) verifyProof(blinds []Blinded, e *Evaluation) bool { return gotC.IsEqual(cc) } -func (c *Client) unblind(e []SerializedElement, blinds []Blind) ([][]byte, error) { +func (c *Client) unblind(e []group.Element, blinds []Blind) ([][]byte, error) { + var err error unblindedElements := make([][]byte, len(e)) - p := c.Group.NewElement() invBlind := c.Group.NewScalar() for i := range e { - err := p.UnmarshalBinary(e[i]) - if err != nil { - return nil, err - } invBlind.Inv(blinds[i]) - unblindedElements[i], err = c.scalarMult(p, invBlind) + unblindedElements[i], err = c.scalarMult(e[i], invBlind) if err != nil { return nil, err } diff --git a/src/circl/oprf/oprf.go b/src/circl/oprf/oprf.go index 8187010b4ed..5268616b1fe 100644 --- a/src/circl/oprf/oprf.go +++ b/src/circl/oprf/oprf.go @@ -151,18 +151,22 @@ func mustWrite(h io.Writer, bytes []byte) { } func (s *suite) computeComposites( - pkSm []byte, - b []Blinded, - eval []SerializedElement, - skS group.Scalar, -) ([]byte, []byte, error) { - lenBuf := []byte{0, 0} + k group.Scalar, + B group.Element, + Cs []group.Element, + Ds []group.Element, +) (group.Element, group.Element, error) { + Bm, err := B.MarshalBinaryCompress() + if err != nil { + return nil, nil, err + } + lenBuf := []byte{0, 0} H := s.New() - binary.BigEndian.PutUint16(lenBuf, uint16(len(pkSm))) + binary.BigEndian.PutUint16(lenBuf, uint16(len(Bm))) mustWrite(H, lenBuf) - mustWrite(H, pkSm) + mustWrite(H, Bm) dst := s.getDST(seedDST) binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) @@ -173,60 +177,53 @@ func (s *suite) computeComposites( M := s.Group.Identity() Z := s.Group.Identity() - Mi := s.Group.NewElement() - Zi := s.Group.NewElement() h2sDST := s.getDST(hashToScalarDST) - for i := range b { + for i := range Cs { h2Input := []byte{} + Ci, err := Cs[i].MarshalBinaryCompress() + if err != nil { + return nil, nil, err + } + + Di, err := Ds[i].MarshalBinaryCompress() + if err != nil { + return nil, nil, err + } + binary.BigEndian.PutUint16(lenBuf, uint16(len(seed))) h2Input = append(append(h2Input, lenBuf...), seed...) binary.BigEndian.PutUint16(lenBuf, uint16(i)) h2Input = append(h2Input, lenBuf...) - binary.BigEndian.PutUint16(lenBuf, uint16(len(b[i]))) - h2Input = append(append(h2Input, lenBuf...), b[i]...) + binary.BigEndian.PutUint16(lenBuf, uint16(len(Ci))) + h2Input = append(append(h2Input, lenBuf...), Ci...) - binary.BigEndian.PutUint16(lenBuf, uint16(len(eval[i]))) - h2Input = append(append(h2Input, lenBuf...), eval[i]...) + binary.BigEndian.PutUint16(lenBuf, uint16(len(Di))) + h2Input = append(append(h2Input, lenBuf...), Di...) dst := s.getDST(compositeDST) binary.BigEndian.PutUint16(lenBuf, uint16(len(dst))) h2Input = append(append(h2Input, lenBuf...), dst...) di := s.Group.HashToScalar(h2Input, h2sDST) - err := Mi.UnmarshalBinary(b[i]) - if err != nil { - return nil, nil, err - } - Mi.Mul(Mi, di) + Mi := s.Group.NewElement() + Mi.Mul(Cs[i], di) M.Add(M, Mi) - if skS == nil { - err = Zi.UnmarshalBinary(eval[i]) - if err != nil { - return nil, nil, err - } - Zi.Mul(Zi, di) + if k == nil { + Zi := s.Group.NewElement() + Zi.Mul(Ds[i], di) Z.Add(Z, Zi) } } - if skS != nil { - Z.Mul(M, skS) - } - - serM, err := M.MarshalBinaryCompress() - if err != nil { - return nil, nil, err - } - serZ, err := Z.MarshalBinaryCompress() - if err != nil { - return nil, nil, err + if k != nil { + Z.Mul(M, k) } - return serM, serZ, nil + return M, Z, nil } func (s *suite) doChallenge(a [5][]byte) group.Scalar { diff --git a/src/circl/oprf/oprf_test.go b/src/circl/oprf/oprf_test.go index 73095eabdce..7a006d7a687 100644 --- a/src/circl/oprf/oprf_test.go +++ b/src/circl/oprf/oprf_test.go @@ -93,7 +93,7 @@ func testAPI(t *testing.T, suite oprf.SuiteID, mode oprf.Mode) { t.Fatal("invalid blinding of client: " + err.Error()) } - eval, err := server.Evaluate(cr.BlindedElements) + eval, err := server.Evaluate(cr.BlindedElements()) if err != nil { t.Fatal("invalid evaluation of server: " + err.Error()) } diff --git a/src/circl/oprf/server.go b/src/circl/oprf/server.go index a2d93caaf8c..f566f8e920c 100644 --- a/src/circl/oprf/server.go +++ b/src/circl/oprf/server.go @@ -40,6 +40,7 @@ func newServer(id SuiteID, m Mode, skS *PrivateKey) (*Server, error) { return &Server{*suite, *skS}, nil } +// GetPublicKey returns the public key corresponding to the server. func (s *Server) GetPublicKey() *PublicKey { return s.privateKey.Public() } // Evaluate evaluates a set of blinded inputs from the client. @@ -57,29 +58,36 @@ func (s *Server) evaluateWithProofScalar(blindedElements []Blinded, proofScalar } var err error - eval := make([]SerializedElement, l) - p := s.suite.NewElement() + input := make([]group.Element, l) + eval := make([]group.Element, l) + out := make([]SerializedElement, l) for i := range blindedElements { - err = p.UnmarshalBinary(blindedElements[i]) + input[i] = s.suite.NewElement() + err = input[i].UnmarshalBinary(blindedElements[i]) if err != nil { return nil, err } - eval[i], err = s.scalarMult(p, s.privateKey.k) + + eval[i] = s.Group.NewElement() + eval[i].Mul(input[i], s.privateKey.k) + + e, err := eval[i].MarshalBinaryCompress() if err != nil { return nil, err } + out[i] = e } var proof *Proof if s.Mode == VerifiableMode { - proof, err = s.generateProofWithRandomScalar(blindedElements, eval, proofScalar) + proof, err = s.generateProofWithRandomScalar(s.privateKey.k, s.Generator(), s.privateKey.Public().e, input, eval, proofScalar) if err != nil { return nil, err } } - return &Evaluation{eval, proof}, nil + return &Evaluation{out, proof}, nil } // FullEvaluate performs a full OPRF protocol at server-side. @@ -104,26 +112,28 @@ func (s *Server) VerifyFinalize(input, expectedOutput []byte) bool { return subtle.ConstantTimeCompare(gotOutput, expectedOutput) == 1 } -func (s *Server) generateProofWithRandomScalar(b []Blinded, eval []SerializedElement, rr group.Scalar) (*Proof, error) { - pkS := s.privateKey.Public() - pkSm, err := pkS.Serialize() +func (s *Server) generateProofWithRandomScalar(k group.Scalar, A, B group.Element, Cs []group.Element, Ds []group.Element, rr group.Scalar) (*Proof, error) { + M, Z, err := s.computeComposites(k, B, Cs, Ds) if err != nil { return nil, err } - a0, a1, err := s.computeComposites(pkSm, b, eval, s.privateKey.k) + Bm, err := B.MarshalBinaryCompress() if err != nil { return nil, err } - M := s.Group.NewElement() - err = M.UnmarshalBinary(a0) + a0, err := M.MarshalBinaryCompress() + if err != nil { + return nil, err + } + a1, err := Z.MarshalBinaryCompress() if err != nil { return nil, err } a2e := s.Group.NewElement() - a2e.MulGen(rr) + a2e.Mul(A, rr) a2, err := a2e.MarshalBinaryCompress() if err != nil { return nil, err @@ -136,7 +146,7 @@ func (s *Server) generateProofWithRandomScalar(b []Blinded, eval []SerializedEle return nil, err } - cc := s.doChallenge([5][]byte{pkSm, a0, a1, a2, a3}) + cc := s.doChallenge([5][]byte{Bm, a0, a1, a2, a3}) ss := s.suite.Group.NewScalar() ss.Mul(cc, s.privateKey.k) ss.Sub(rr, ss) diff --git a/src/circl/oprf/vectors_test.go b/src/circl/oprf/vectors_test.go index b857cdffc13..600e5fd8e4e 100644 --- a/src/circl/oprf/vectors_test.go +++ b/src/circl/oprf/vectors_test.go @@ -149,13 +149,13 @@ func (v *vector) test(t *testing.T) { clientReq, err := client.blind(inputs, blinds) test.CheckNoErr(t, err, "invalid client request") v.compareLists(t, - clientReq.BlindedElements, + clientReq.BlindedElements(), toListBytes(t, vi.BlindedElement, "blindedElement"), ) rr := toScalar(t, client.suite.Group, vi.EvaluationProof.R, "invalid proof random scalar") - eval, err := server.evaluateWithProofScalar(clientReq.BlindedElements, rr) + eval, err := server.evaluateWithProofScalar(clientReq.BlindedElements(), rr) test.CheckNoErr(t, err, "invalid evaluation") v.compareLists(t, eval.Elements, From 7c96cb688f153fcbd51bb2c2e2e38f85820ee5c7 Mon Sep 17 00:00:00 2001 From: Christopher Wood Date: Mon, 15 Mar 2021 14:47:54 -0700 Subject: [PATCH 21/69] crypto/tls: Move draft-ietf-tls-esni-09 to 10 This change adds support for ECH-10 and removes support for ECH-09. The primary changes are moving to HPKE-08 and changing the ECHConfig identifier from a client-computed value to a server-chosen value. ECHProviders MUST use rejection sampling in choosing the configuration identifier so as to not introduce conflicts. --- src/crypto/tls/common.go | 6 +-- src/crypto/tls/conn.go | 9 ++-- src/crypto/tls/ech.go | 45 +++++++++----------- src/crypto/tls/ech_config.go | 27 ++++-------- src/crypto/tls/ech_provider.go | 51 +++++++---------------- src/crypto/tls/ech_test.go | 53 ++++++++++++------------ src/crypto/tls/handshake_client_tls13.go | 2 +- src/crypto/tls/handshake_messages.go | 12 +++--- src/crypto/tls/tls.go | 2 +- 9 files changed, 84 insertions(+), 123 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 8bb288e1674..2f80ce3bfd5 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -103,9 +103,9 @@ const ( extensionSignatureAlgorithmsCert uint16 = 50 extensionKeyShare uint16 = 51 extensionRenegotiationInfo uint16 = 0xff01 - extensionECH uint16 = 0xfe09 // draft-ietf-tls-esni-09 - extensionECHIsInner uint16 = 0xda09 // draft-ietf-tls-esni-09 - extensionECHOuterExtensions uint16 = 0xfd00 // draft-ietf-tls-esni-09 + extensionECH uint16 = 0xfe0a // draft-ietf-tls-esni-10 + extensionECHIsInner uint16 = 0xda09 // draft-ietf-tls-esni-10 + extensionECHOuterExtensions uint16 = 0xfd00 // draft-ietf-tls-esni-10 ) // TLS signaling cipher suite values diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 0867c23c560..75645b389e9 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -131,10 +131,11 @@ type Conn struct { retryConfigs []byte // The retry configurations // The client's state, used in case of HRR. - innerRandom []byte // ClientHelloInner.random - publicName string // ECHConfig.contents.public_name - suite echCipherSuite // ClientECH.cipher_suite - dummy []byte // serialized ClientECH when greasing ECH + innerRandom []byte // ClientHelloInner.random + publicName string // ECHConfig.contents.public_name + configId uint8 // ECHConfig.contents.key_config.config_id + suite hpkeSymmetricCipherSuite // ClientECH.cipher_suite + dummy []byte // serialized ClientECH when greasing ECH } // Set by the client and server when an HRR message was sent in this diff --git a/src/crypto/tls/ech.go b/src/crypto/tls/ech.go index c62780536c4..d82155dc9d1 100644 --- a/src/crypto/tls/ech.go +++ b/src/crypto/tls/ech.go @@ -17,8 +17,7 @@ const ( echAcceptConfirmationLabel = "ech accept confirmation" // Constants for HPKE operations - echHpkeInfoConfigId = "tls ech config id" - echHpkeInfoSetup = "tls ech" + echHpkeInfoSetup = "tls ech" ) // TODO(cjpatton): "[When offering ECH, the client] MUST NOT offer to resume any @@ -60,7 +59,7 @@ func (c *Conn) echOfferOrGrease(helloBase *clientHelloMsg) (hello, helloInner *c } // Compute artifacts that are reused across HRR. - var enc, configId []byte + var enc []byte if c.ech.sealer == nil { // HPKE context. enc, c.ech.sealer, err = echConfig.setupSealer(config.rand()) @@ -68,16 +67,12 @@ func (c *Conn) echOfferOrGrease(helloBase *clientHelloMsg) (hello, helloInner *c return nil, nil, fmt.Errorf("tls: ech: %s", err) } - // ClientECH.config_id. - _, kdfId, _ := c.ech.sealer.Suite().Params() - configId, err = echConfig.id(kdfId) - if err != nil { - return nil, nil, fmt.Errorf("tls: ech: %s", err) - } - // ECHConfig.contents.public_name. c.ech.publicName = string(echConfig.rawPublicName) + // ECHConfig.contents.key_config.config_id. + c.ech.configId = echConfig.configId + // ClientHelloInner.random. c.ech.innerRandom = make([]byte, 32) if _, err = io.ReadFull(config.rand(), c.ech.innerRandom); err != nil { @@ -148,8 +143,8 @@ func (c *Conn) echOfferOrGrease(helloBase *clientHelloMsg) (hello, helloInner *c _, kdfId, aeadId := c.ech.sealer.Suite().Params() ech.handle.suite.kdfId = uint16(kdfId) ech.handle.suite.aeadId = uint16(aeadId) - ech.handle.configId = configId // Empty after HRR - ech.handle.enc = enc // Empty after HRR + ech.handle.configId = echConfig.configId + ech.handle.enc = enc // Empty after HRR helloOuterAad := echEncodeClientHelloOuterAAD(hello.marshal(), ech.handle.marshal()) if helloOuterAad == nil { return nil, nil, errors.New("tls: ech: encoding of ClientHelloOuterAAD failed") @@ -221,7 +216,7 @@ func (c *Conn) echAcceptOrReject(hello *clientHelloMsg) (*clientHelloMsg, error) } if c.hrrTriggered && c.ech.offered && (ech.handle.suite != c.ech.suite || - len(ech.handle.configId) > 0 || + ech.handle.configId != c.ech.configId || len(ech.handle.enc) > 0) { // The context handle shouldn't change across HRR. c.sendAlert(alertIllegalParameter) @@ -252,7 +247,7 @@ func (c *Conn) echAcceptOrReject(hello *clientHelloMsg) (*clientHelloMsg, error) // Check if the outer SNI matches the public name of any ECH config // advertised by the client-facing server. As of - // draft-ietf-tls-esni-09, the client is required to use the ECH + // draft-ietf-tls-esni-10, the client is required to use the ECH // config's public name as the outer SNI. Although there's no real // reason for the server to enforce this, it worth noting it when it // happens. @@ -377,14 +372,14 @@ func (ech *echClient) marshal() []byte { return b.BytesOrPanic() } -// echContexttHandle represents the prefix of a ClientECH structure used by +// echContextHandle represents the prefix of a ClientECH structure used by // the server to compute the HPKE context. type echContextHandle struct { raw []byte // Parsed from raw - suite echCipherSuite - configId []byte + suite hpkeSymmetricCipherSuite + configId uint8 enc []byte } @@ -395,9 +390,7 @@ func (handle *echContextHandle) marshal() []byte { var b cryptobyte.Builder b.AddUint16(handle.suite.kdfId) b.AddUint16(handle.suite.aeadId) - b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes(handle.configId) - }) + b.AddUint8(handle.configId) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { b.AddBytes(handle.enc) }) @@ -408,8 +401,7 @@ func echReadContextHandle(s *cryptobyte.String, handle *echContextHandle) bool { var t cryptobyte.String if !s.ReadUint16(&handle.suite.kdfId) || // cipher_suite.kdf_id !s.ReadUint16(&handle.suite.aeadId) || // cipher_suite.aead_id - !s.ReadUint8LengthPrefixed(&t) || // config_id - !t.ReadBytes(&handle.configId, len(t)) || + !s.ReadUint8(&handle.configId) || // config_id !s.ReadUint16LengthPrefixed(&t) || // enc !t.ReadBytes(&handle.enc, len(t)) { return false @@ -417,10 +409,10 @@ func echReadContextHandle(s *cryptobyte.String, handle *echContextHandle) bool { return true } -// echCipherSuite represents an ECH ciphersuite, a KDF/AEAD algorithm pair. This +// hpkeSymmetricCipherSuite represents an ECH ciphersuite, a KDF/AEAD algorithm pair. This // is different from an HPKE ciphersuite, which represents a KEM/KDF/AEAD // triple. -type echCipherSuite struct { +type hpkeSymmetricCipherSuite struct { kdfId, aeadId uint16 } @@ -446,11 +438,12 @@ func echGenerateDummyExt(rand io.Reader) ([]byte, error) { var ech echClient ech.handle.suite.kdfId = uint16(kdf) ech.handle.suite.aeadId = uint16(aead) - ech.handle.configId = make([]byte, 8) - _, err = io.ReadFull(rand, ech.handle.configId) + randomByte := make([]byte, 1) + _, err = io.ReadFull(rand, randomByte) if err != nil { return nil, fmt.Errorf("tls: grease ech:: %s", err) } + ech.handle.configId = randomByte[0] ech.handle.enc, _, err = sender.Setup(rand) if err != nil { return nil, fmt.Errorf("tls: grease ech:: %s", err) diff --git a/src/crypto/tls/ech_config.go b/src/crypto/tls/ech_config.go index bff29a00984..804e000eb07 100644 --- a/src/crypto/tls/ech_config.go +++ b/src/crypto/tls/ech_config.go @@ -20,10 +20,11 @@ type ECHConfig struct { // Parsed from raw version uint16 + configId uint8 rawPublicName []byte rawPublicKey []byte kemId uint16 - suites []echCipherSuite + suites []hpkeSymmetricCipherSuite maxNameLen uint16 ignoredExtensions []byte } @@ -87,11 +88,10 @@ func echMarshalConfigs(configs []ECHConfig) ([]byte, error) { func readConfigContents(contents *cryptobyte.String, config *ECHConfig) bool { var t cryptobyte.String - if !contents.ReadUint16LengthPrefixed(&t) || - !t.ReadBytes(&config.rawPublicName, len(t)) || + if !contents.ReadUint8(&config.configId) || + !contents.ReadUint16(&config.kemId) || !contents.ReadUint16LengthPrefixed(&t) || !t.ReadBytes(&config.rawPublicKey, len(t)) || - !contents.ReadUint16(&config.kemId) || !contents.ReadUint16LengthPrefixed(&t) || len(t)%4 != 0 { return false @@ -104,10 +104,12 @@ func readConfigContents(contents *cryptobyte.String, config *ECHConfig) bool { // This indicates an internal bug. panic("internal error while parsing contents.cipher_suites") } - config.suites = append(config.suites, echCipherSuite{kdfId, aeadId}) + config.suites = append(config.suites, hpkeSymmetricCipherSuite{kdfId, aeadId}) } if !contents.ReadUint16(&config.maxNameLen) || + !contents.ReadUint16LengthPrefixed(&t) || + !t.ReadBytes(&config.rawPublicName, len(t)) || !contents.ReadUint16LengthPrefixed(&t) || !t.ReadBytes(&config.ignoredExtensions, len(t)) || !contents.Empty() { @@ -136,7 +138,7 @@ func (config *ECHConfig) setupSealer(rand io.Reader) (enc []byte, sealer hpke.Se // isPeerCipherSuiteSupported returns true if this configuration indicates // support for the given ciphersuite. -func (config *ECHConfig) isPeerCipherSuiteSupported(suite echCipherSuite) bool { +func (config *ECHConfig) isPeerCipherSuiteSupported(suite hpkeSymmetricCipherSuite) bool { for _, configSuite := range config.suites { if suite == configSuite { return true @@ -160,16 +162,3 @@ func (config *ECHConfig) selectSuite() (hpke.Suite, error) { } return hpke.Suite{}, errors.New("could not negotiate a ciphersuite") } - -// id returns the configuration identifier for the given KDF. -func (config *ECHConfig) id(kdf hpke.KDF) ([]byte, error) { - if config.raw == nil { - panic("config.raw not set") - } - if !kdf.IsValid() { - return nil, errors.New("KDF algorithm not supported") - } - id := kdf.Expand(kdf.Extract(config.raw, nil), - []byte(echHpkeInfoConfigId), 8) - return id, nil -} diff --git a/src/crypto/tls/ech_provider.go b/src/crypto/tls/ech_provider.go index aa2353ddbf8..5d5a4b96a32 100644 --- a/src/crypto/tls/ech_provider.go +++ b/src/crypto/tls/ech_provider.go @@ -12,10 +12,6 @@ import ( "golang.org/x/crypto/cryptobyte" ) -const ( - maxConfigIdLen = 255 -) - // ECHProvider specifies the interface of an ECH service provider that decrypts // the ECH payload on behalf of the client-facing server. It also defines the // set of acceptable ECH configurations. @@ -26,7 +22,7 @@ type ECHProvider interface { // // handle encodes the parameters of the client's "encrypted_client_hello" // extension that are needed to construct the context. In - // draft-ietf-tls-esni-09, these are the ECH cipher suite, the identity of + // draft-ietf-tls-esni-10, these are the ECH cipher suite, the identity of // the ECH configuration, and the encapsulated key. // // version is the version of ECH indicated by the client. @@ -94,37 +90,24 @@ type EXP_ECHKeySet struct { configs []byte // Maps a configuration identifier to its secret key. - sk map[[maxConfigIdLen + 1]byte]EXP_ECHKey + sk map[uint8]EXP_ECHKey } // EXP_NewECHKeySet constructs an EXP_ECHKeySet. func EXP_NewECHKeySet(keys []EXP_ECHKey) (*EXP_ECHKeySet, error) { + if len(keys) > 255 { + return nil, fmt.Errorf("tls: ech provider: unable to support more than 255 ECH configurations at once") + } + keySet := new(EXP_ECHKeySet) - keySet.sk = make(map[[maxConfigIdLen + 1]byte]EXP_ECHKey) + keySet.sk = make(map[uint8]EXP_ECHKey) configs := make([]byte, 0) for _, key := range keys { - // Compute the set of KDF algorithms supported by this configuration. - kdfIds := make(map[uint16]bool) - for _, suite := range key.config.suites { - kdfIds[suite.kdfId] = true - } - - // Compute the configuration identifier for each KDF. - for kdfId, _ := range kdfIds { - configId, err := key.config.id(hpke.KDF(kdfId)) - if err != nil { - return nil, err - } - - var b cryptobyte.Builder - b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes(configId) - }) - var id [maxConfigIdLen + 1]byte // Initialized to zero - copy(id[:], b.BytesOrPanic()) - keySet.sk[id] = key + if _, ok := keySet.sk[key.config.configId]; ok { + return nil, fmt.Errorf("tls: ech provider: ECH config conflict for configId %d", key.config.configId) } + keySet.sk[key.config.configId] = key configs = append(configs, key.config.raw...) } @@ -144,7 +127,7 @@ func (keySet *EXP_ECHKeySet) GetDecryptionContext(rawHandle []byte, version uint res.RetryConfigs = keySet.configs // Ensure we know how to proceed, i.e., the caller has indicated a supported - // version of ECH. Currently only draft-ietf-tls-esni-09 is supported. + // version of ECH. Currently only draft-ietf-tls-esni-10 is supported. if version != extensionECH { res.Status = ECHProviderAbort res.Alert = uint8(alertInternalError) @@ -165,13 +148,7 @@ func (keySet *EXP_ECHKeySet) GetDecryptionContext(rawHandle []byte, version uint handle.raw = rawHandle // Look up the secret key for the configuration indicated by the client. - var id [maxConfigIdLen + 1]byte // Initialized to zero - var b cryptobyte.Builder - b.AddUint8LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes(handle.configId) - }) - copy(id[:], b.BytesOrPanic()) - key, ok := keySet.sk[id] + key, ok := keySet.sk[handle.configId] if !ok { res.Status = ECHProviderReject res.RetryConfigs = keySet.configs @@ -227,7 +204,7 @@ func (keySet *EXP_ECHKeySet) GetDecryptionContext(rawHandle []byte, version uint // // struct { // opaque sk<0..2^16-1>; -// ECHConfig config<0..2^16>; // draft-ietf-tls-esni-09 +// ECHConfig config<0..2^16>; // draft-ietf-tls-esni-10 // } ECHKey; type EXP_ECHKey struct { sk kem.PrivateKey @@ -291,7 +268,7 @@ KeysLoop: // setupOpener computes the HPKE context used by the server in the ECH // extension.i -func (key *EXP_ECHKey) setupOpener(enc []byte, suite echCipherSuite) (hpke.Opener, error) { +func (key *EXP_ECHKey) setupOpener(enc []byte, suite hpkeSymmetricCipherSuite) (hpke.Opener, error) { if key.config.raw == nil { panic("raw config not set") } diff --git a/src/crypto/tls/ech_test.go b/src/crypto/tls/ech_test.go index 167501759de..f4541154e57 100644 --- a/src/crypto/tls/ech_test.go +++ b/src/crypto/tls/ech_test.go @@ -90,34 +90,36 @@ Fy/vytRwyjhHuX9ntc5ArCpwbAmY+oW/4w== // The ECH keys used by the client-facing server. const echTestKeys = `-----BEGIN ECH KEYS----- -ACA/SG/gkFYqQ0vvrgz8CRtn8QBhUdmJIHrpLRa4MHbjpgBT/gkATwATY2xvdWRm -bGFyZS1lc25pLmNvbQAgRcve568ZJiCCyZJvwrIx0FIoSCQihzse5EJM36v98BcA -IAAQAAEAAQABAAMAAgABAAIAAwAAAAAAIOpdZ5c3Q1EIq5eztNrW+7GcUiPKPDhm -6JqulMAt5NLmAHT+CQBwABNjbG91ZGZsYXJlLWVzbmkuY29tAEEEpVCefVOCJ4vL -Ae6XXPx/d6w/yu4qP2asEfG/aYceggNFRS13f2FhfmTsFsctRsrfi0KR4fPlE469 -PxZnNLJ8wAAQABAAAQABAAEAAwACAAEAAgADAAAAAA== +ACDhS0q2cTU1Qzi6hPM4BQ/HLnbEUZyWdY2GbmS0DVkumgBI/goARAAAIAAgi1Tu +jWJ236k1VAMeRnysKbDigxLpDs/AGdEowK8KiBkABAABAAEAAAATY2xvdWRmbGFy +ZS1lc25pLmNvbQAAACBmNj/zQe6OT/MR/MM39G6kwMJCJEXpdvTAkbdHErlgXwBI +/goARAEAIAAgZ1Ru1uyGX6N9HYs5/pAE3KwUXRDBHD0Bdna8oP4uVEwABAABAAEA +AAATY2xvdWRmbGFyZS1lc25pLmNvbQAA -----END ECH KEYS-----` // A sequence of ECH keys with unsupported versions. const echTestInvalidVersionKeys = `-----BEGIN ECH KEYS----- -ACChoR9Zm0Y7YJLxh4NHlF9cDWOYVdtbpsXNsLbEejCw4gBTvu8ATwATY2xvdWRm -bGFyZS1lc25pLmNvbQAg3on70PKtaF9Mp5WQghrykTszqKlaX02Pi+WYpbCza1gA -IAAQAAEAAQABAAMAAgABAAIAAwAAAAA= +ACDhS0q2cTU1Qzi6hPM4BQ/HLnbEUZyWdY2GbmS0DVkumgBIAfUARAAAIAAgi1Tu +jWJ236k1VAMeRnysKbDigxLpDs/AGdEowK8KiBkABAABAAEAAAATY2xvdWRmbGFy +ZS1lc25pLmNvbQAAACBmNj/zQe6OT/MR/MM39G6kwMJCJEXpdvTAkbdHErlgXwBI +AfUARAEAIAAgZ1Ru1uyGX6N9HYs5/pAE3KwUXRDBHD0Bdna8oP4uVEwABAABAAEA +AAATY2xvdWRmbGFyZS1lc25pLmNvbQAA -----END ECH KEYS-----` // The sequence of ECH configurations corresponding to echTestKeys. const echTestConfigs = `-----BEGIN ECH CONFIGS----- -AMf+CQBPABNjbG91ZGZsYXJlLWVzbmkuY29tACBFy97nrxkmIILJkm/CsjHQUihI -JCKHOx7kQkzfq/3wFwAgABAAAQABAAEAAwACAAEAAgADAAAAAP4JAHAAE2Nsb3Vk -ZmxhcmUtZXNuaS5jb20AQQSlUJ59U4Ini8sB7pdc/H93rD/K7io/ZqwR8b9phx6C -A0VFLXd/YWF+ZOwWxy1Gyt+LQpHh8+UTjr0/Fmc0snzAABAAEAABAAEAAQADAAIA -AQACAAMAAAAA +AJD+CgBEAAAgACCLVO6NYnbfqTVUAx5GfKwpsOKDEukOz8AZ0SjArwqIGQAEAAEA +AQAAABNjbG91ZGZsYXJlLWVzbmkuY29tAAD+CgBEAQAgACBnVG7W7IZfo30dizn+ +kATcrBRdEMEcPQF2dryg/i5UTAAEAAEAAQAAABNjbG91ZGZsYXJlLWVzbmkuY29t +AAA= -----END ECH CONFIGS-----` // An invalid sequence of ECH configurations. const echTestStaleConfigs = `-----BEGIN ECH CONFIGS----- -AFP+CQBPABNjbG91ZGZsYXJlLWVzbmkuY29tACDA9Z4YbY7f6HMlsUUhSHdioVr9 -s6vH9g5PPTkgR83MIwAgABAAAQABAAEAAwACAAEAAgADAAAAAA== +AJD+CgBEAAAgACCNkMISpIMFmPZwDgob/CROvHD93NQFcX4h0SURHTJpRwAEAAEA +AQAAABNjbG91ZGZsYXJlLWVzbmkuY29tAAD+CgBEAQAgACAH4P9K5l9BJ3aG4QUk +fTjMWUoeLQZVdTxp5Qe0FWvDQwAEAAEAAQAAABNjbG91ZGZsYXJlLWVzbmkuY29t +AAA= -----END ECH CONFIGS-----` // echTestProviderAlwaysAbort mocks an ECHProvider that, in response to any @@ -892,17 +894,16 @@ func TestECHProvider(t *testing.T) { p := echTestLoadKeySet(echTestKeys) t.Run("ok", func(t *testing.T) { handle := []byte{ - 0, 1, 0, 1, 8, 202, 62, 220, 1, 243, 58, 247, 102, 0, 32, 40, 52, - 167, 167, 21, 125, 151, 32, 250, 255, 1, 125, 206, 103, 62, 96, 189, - 112, 126, 48, 221, 41, 198, 146, 100, 149, 29, 133, 103, 87, 87, 78, + 0, 1, 0, 1, 0, 0, 32, 40, 52, 167, 167, 21, 125, 151, 32, 250, 255, 1, + 125, 206, 103, 62, 96, 189, 112, 126, 48, 221, 41, 198, 146, 100, 149, + 29, 133, 103, 87, 87, 78, } context := []byte{ - 1, 0, 32, 0, 1, 0, 1, 32, 236, 67, 192, 226, 245, 110, 78, 204, 212, - 236, 85, 28, 234, 9, 249, 154, 158, 25, 69, 140, 83, 156, 41, 237, - 146, 108, 142, 83, 130, 231, 162, 53, 16, 80, 114, 44, 28, 184, 124, - 105, 82, 228, 226, 156, 178, 245, 44, 171, 175, 12, 97, 213, 61, - 253, 64, 224, 125, 59, 223, 107, 24, 119, 12, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, + 1, 0, 32, 0, 1, 0, 1, 32, 36, 168, 201, 89, 6, 5, 216, 41, 55, 71, 51, + 165, 58, 92, 20, 212, 13, 84, 72, 119, 247, 120, 50, 63, 21, 145, 190, + 153, 201, 60, 38, 185, 16, 73, 40, 109, 39, 98, 199, 188, 154, 135, 218, + 81, 43, 179, 83, 22, 108, 12, 225, 52, 73, 49, 74, 108, 22, 100, 11, 244, + 38, 198, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, } testECHProvider(t, p, handle, extensionECH, ECHProviderResult{ Status: ECHProviderSuccess, @@ -912,7 +913,7 @@ func TestECHProvider(t *testing.T) { }) t.Run("invalid config id", func(t *testing.T) { handle := []byte{ - 0, 1, 0, 1, 6, 202, 62, 220, 1, 243, 58, 0, 32, 40, 52, 167, 167, + 0, 1, 0, 1, 255, 202, 62, 220, 1, 243, 58, 0, 32, 40, 52, 167, 167, 21, 125, 151, 32, 250, 255, 1, 125, 206, 103, 62, 96, 189, 112, 126, 48, 221, 41, 198, 146, 100, 149, 29, 133, 103, 87, 87, 78, } diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 623e1dea65c..9bb66bb0911 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -337,7 +337,7 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { } ech.raw = nil ech.handle.raw = nil - ech.handle.configId = []byte{1, 2, 3, 4} + ech.handle.configId = uint8(0) ech.handle.enc = []byte{1, 2, 3, 4} hs.hello.ech = ech.marshal() } diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index 037e3f207e8..6b68131edac 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -127,14 +127,14 @@ func (m *clientHelloMsg) marshal() []byte { b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { if m.echIsOuter { - // draft-ietf-tls-esni-09, "encrypted_client_hello" + // draft-ietf-tls-esni-10, "encrypted_client_hello" b.AddUint16(extensionECH) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { b.AddBytes(m.ech) }) } if m.echIsInner { - // draft-ietf-tls-esni-09, "ech_is_inner" + // draft-ietf-tls-esni-10, "ech_is_inner" b.AddUint16(extensionECHIsInner) b.AddUint16(0) } @@ -425,13 +425,13 @@ func (m *clientHelloMsg) unmarshal(data []byte) bool { switch extension { case extensionECH: - // draft-ietf-tls-esni-09, "encrypted_client_hello" + // draft-ietf-tls-esni-10, "encrypted_client_hello" if !extData.ReadBytes(&m.ech, len(extData)) { return false } m.echIsOuter = true case extensionECHIsInner: - // draft-ietf-tls-esni-09, "ech_is_inner" + // draft-ietf-tls-esni-10, "ech_is_inner" if !extData.ReadBytes(&m.ech, len(extData)) { return false } @@ -921,7 +921,7 @@ func (m *encryptedExtensionsMsg) marshal() []byte { }) } if len(m.ech) > 0 { - // draft-ietf-tls-esni-09, "encrypted_client_hello" + // draft-ietf-tls-esni-10, "encrypted_client_hello" b.AddUint16(extensionECH) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { // If the client-facing server rejects ECH, then it may @@ -967,7 +967,7 @@ func (m *encryptedExtensionsMsg) unmarshal(data []byte) bool { } m.alpnProtocol = string(proto) case extensionECH: - // draft-ietf-tls-esni-09 + // draft-ietf-tls-esni-10 if !extData.ReadBytes(&m.ech, len(extData)) { return false } diff --git a/src/crypto/tls/tls.go b/src/crypto/tls/tls.go index ffb55a63473..0cab274de24 100644 --- a/src/crypto/tls/tls.go +++ b/src/crypto/tls/tls.go @@ -6,7 +6,7 @@ // and TLS 1.3, as specified in RFC 8446. // // This package implements the "Encrypted ClientHello (ECH)" extension, as -// specified by draft-ietf-tls-esni-09. This extension allows the client to +// specified by draft-ietf-tls-esni-10. This extension allows the client to // encrypt its ClientHello to the public key of an ECH-service provider, known // as the client-facing server. If successful, then the client-facing server // forwards the decrypted ClientHello to the intended recipient, known as the From 5ef1b90573f8742b763b7e65a43ce7fa20e37bb4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 23 Mar 2021 15:54:17 +0000 Subject: [PATCH 22/69] crypto/tls: define api for delegated credentials so they are fetched using the same mechanisms used to fetch certificates #67 (#69) Refactor new API Address comments from review Address comments from review 2 Address comments from review 3 --- src/crypto/tls/auth.go | 2 - src/crypto/tls/common.go | 36 +++-- src/crypto/tls/delegated_credentials_test.go | 155 ++++++++----------- src/crypto/tls/handshake_client_tls13.go | 66 +++++--- src/crypto/tls/handshake_server_tls13.go | 65 +++++--- src/crypto/tls/tls_test.go | 9 +- 6 files changed, 180 insertions(+), 153 deletions(-) diff --git a/src/crypto/tls/auth.go b/src/crypto/tls/auth.go index 7d92a7fbca5..51113d88969 100644 --- a/src/crypto/tls/auth.go +++ b/src/crypto/tls/auth.go @@ -196,8 +196,6 @@ var rsaSignatureSchemes = []struct { // and optionally filtered by its explicit SupportedSignatureAlgorithms. // // This function must be kept in sync with supportedSignatureAlgorithms. -// NOTE: for the PQ KEM exp or using Delegated Credentials, it must be kept in -// sync with supportedSignatureAlgorithmsDC. func signatureSchemesForCertificate(version uint16, cert *Certificate) []SignatureScheme { priv, ok := cert.PrivateKey.(crypto.Signer) if !ok { diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 2f80ce3bfd5..7165e0423a1 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -497,7 +497,8 @@ type ClientHelloInfo struct { // SignatureSchemesDC lists the signature schemes that the client // is willing to verify when using Delegated Credentials. - // This can be different from SignatureSchemes. + // This is and can be different from SignatureSchemes. SignatureSchemesDC + // is set only if the DelegatedCredentials Extension is being used. // If Delegated Credentials are supported, this list should not be nil. SignatureSchemesDC []SignatureScheme @@ -549,6 +550,9 @@ type CertificateRequestInfo struct { // SignatureSchemesDC lists the signature schemes that the server // is willing to verify when using Delegated Credentials. + // This is and can be different from SignatureSchemes. SignatureSchemesDC + // is set only if the DelegatedCredentials Extension is being used. + // If Delegated Credentials are supported, this list should not be nil. SignatureSchemesDC []SignatureScheme // Version is the TLS version that was negotiated for this connection. @@ -820,13 +824,6 @@ type Config struct { // See https://tools.ietf.org/html/draft-ietf-tls-subcerts. SupportDelegatedCredential bool - // GetDelegatedCredential returns a DelegatedCredential for use with the - // delegated credential extension based on the ClientHello. It only works - // with TLS 1.3. If this is nil, then the server will not offer - // a DelegatedCredential. If the call returns nil, the server is also - // not offering a DelegatedCredential. - GetDelegatedCredential func(*ClientHelloInfo, *CertificateRequestInfo) (*DelegatedCredential, crypto.PrivateKey, error) - // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex // sessionTicketKeys contains zero or more ticket keys. If set, it means the @@ -917,7 +914,6 @@ func (c *Config) Clone() *Config { Renegotiation: c.Renegotiation, KeyLogWriter: c.KeyLogWriter, SupportDelegatedCredential: c.SupportDelegatedCredential, - GetDelegatedCredential: c.GetDelegatedCredential, ECHEnabled: c.ECHEnabled, ClientECHConfigs: c.ClientECHConfigs, ServerECHProvider: c.ServerECHProvider, @@ -1462,6 +1458,16 @@ func (c *Config) writeKeyLog(label string, clientRandom, secret []byte) error { // and is only for debugging, so a global mutex saves space. var writerMutex sync.Mutex +// A DelegatedCredentialPair contains a Delegated Credential and its +// associated private key. +type DelegatedCredentialPair struct { + // DC is the delegated credential. + DC *DelegatedCredential + // PrivateKey is the private key used to derive the public key of + // contained in DC. PrivateKey must implement crypto.Signer. + PrivateKey crypto.PrivateKey +} + // A Certificate is a chain of one or more certificates, leaf first. type Certificate struct { Certificate [][]byte @@ -1479,9 +1485,15 @@ type Certificate struct { // SignedCertificateTimestamps contains an optional list of Signed // Certificate Timestamps which will be served to clients that request it. SignedCertificateTimestamps [][]byte - // DelegatedCredential is a serialized Delegated Credential, signed by - // the leaf certificate. - // If not supported, this will be nil. + // DelegatedCredentials are a list of Delegated Credentials with their + // corresponding private keys, signed by the leaf certificate. + // If there are no delegated credentials, this field is nil. + DelegatedCredentials []DelegatedCredentialPair + // DelegatedCredential is the delegated credential to be used in the + // handshake. + // If there are no delegated credentials, this field is nil. + // NOTE: Do not fill this field, as it will be filled depending on + // the provided list of delegated credentials. DelegatedCredential []byte // Leaf is the parsed form of the leaf certificate, which may be initialized // using x509.ParseCertificate to reduce per-handshake processing. If nil, diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 57e9cf42c20..3e898562122 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -17,13 +17,6 @@ import ( "time" ) -// dcAndPrivateKey stores a Delegated Credential and its corresponding private -// key. -type dcAndPrivateKey struct { - *DelegatedCredential - privateKey crypto.PrivateKey -} - // These test keys were generated with the following program, available in the // crypto/tls directory: // @@ -137,12 +130,12 @@ ZyJKvc2KqjGeZh0Or5pq6ZJb0zR7WPdz5aJIzaZ5YcxLMSv0KwaAEPH2 ` var ( - dcTestConfig *Config - dcTestCerts map[string]*Certificate - serverDC []*dcAndPrivateKey - clientDC []*dcAndPrivateKey - dcNow time.Time - dcTestDCScheme = []SignatureScheme{ECDSAWithP256AndSHA256, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512, Ed25519} + dcTestConfig *Config + dcTestCerts map[string]*Certificate + serverDC []DelegatedCredentialPair + clientDC []DelegatedCredentialPair + dcNow time.Time + dcTestDCSignatureScheme = []SignatureScheme{ECDSAWithP256AndSHA256, Ed25519, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512} ) func init() { @@ -232,7 +225,7 @@ func initDCTest() { } dcTestCerts["no dc"] = noDcCert - // The root certificates for the client. + // The root certificates for the peer. dcTestConfig.RootCAs = x509.NewCertPool() for _, c := range dcTestCerts { @@ -243,20 +236,19 @@ func initDCTest() { dcTestConfig.RootCAs.AddCert(dcRoot) } - for i := 0; i < len(dcTestDCScheme); i++ { - dc, sk, err := NewDelegatedCredential(dcCertP256, dcTestDCScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, false) + for i := 0; i < len(dcTestDCSignatureScheme); i++ { + dc, priv, err := NewDelegatedCredential(dcCertP256, dcTestDCSignatureScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, false) if err != nil { panic(err) } - serverDC = append(serverDC, &dcAndPrivateKey{dc, sk}) + serverDC = append(serverDC, DelegatedCredentialPair{dc, priv}) - dc, sk, err = NewDelegatedCredential(dcCertP256, dcTestDCScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, true) + dc, priv, err = NewDelegatedCredential(dcCertP256, dcTestDCSignatureScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, true) if err != nil { panic(err) } - clientDC = append(clientDC, &dcAndPrivateKey{dc, sk}) + clientDC = append(clientDC, DelegatedCredentialPair{dc, priv}) } - } func publicKeysEqual(publicKey, publicKey2 crypto.PublicKey, algo SignatureScheme) error { @@ -387,7 +379,7 @@ func TestDelegatedCredentialMarshal(t *testing.T) { cert := dcTestCerts["dcEd25519"] time := dcNow.Sub(cert.Leaf.NotBefore) + dcMaxTTL - for _, sig := range dcTestDCScheme { + for _, sig := range dcTestDCSignatureScheme { delegatedCred, _, err := NewDelegatedCredential(cert, sig, time, false) if err != nil { t.Fatal(err) @@ -418,8 +410,23 @@ func TestDelegatedCredentialMarshal(t *testing.T) { } } -var dcTests = []struct { +var dcServerTests = []struct { clientDCSupport bool + clientMaxVers uint16 + serverMaxVers uint16 + expectSuccess bool + expectDC bool + name string +}{ + {true, VersionTLS13, VersionTLS13, true, true, "tls13: DC client support"}, + {false, VersionTLS13, VersionTLS13, true, false, "DC not client support"}, + {true, VersionTLS12, VersionTLS13, true, false, "client using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS12, true, false, "server using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS11, VersionTLS13, true, false, "client using TLS 1.1. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, +} + +var dcClientTests = []struct { serverDCSupport bool clientMaxVers uint16 serverMaxVers uint16 @@ -427,15 +434,20 @@ var dcTests = []struct { expectDC bool name string }{ - {true, true, VersionTLS13, VersionTLS13, true, true, "tls13: DC server and client support"}, - {true, false, VersionTLS13, VersionTLS13, true, false, "DC not server support"}, - {false, true, VersionTLS13, VersionTLS13, true, false, "DC not client support"}, - {true, true, VersionTLS12, VersionTLS13, true, false, "client using TLS 1.2. No DC is supported in that version."}, - {true, true, VersionTLS13, VersionTLS12, true, false, "server using TLS 1.2. No DC is supported in that version."}, - {true, true, VersionTLS11, VersionTLS13, true, false, "client using TLS 1.1. No DC is supported in that version."}, - {true, true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS13, true, true, "tls13: DC server support"}, + {false, VersionTLS13, VersionTLS13, true, false, "DC not server support"}, + {true, VersionTLS12, VersionTLS13, true, false, "client using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS12, true, false, "server using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS11, VersionTLS13, true, false, "client using TLS 1.1. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, } +// dcCount defines the delegated credential to be used as returned by the +// getCertificate or getClientCertificate callback. This allows to use +// delegated credentials with different algorithms at each run of the +// tests. +var dcCount int + // Checks that the client suppports a version >= 1.3 and accepts Delegated // Credentials. If so, it returns the delegation certificate; otherwise it // returns a non-delegated certificate. @@ -446,7 +458,9 @@ func testServerGetCertificate(ch *ClientHelloInfo) (*Certificate, error) { } if versOk && ch.SupportsDelegatedCredential { - return dcTestCerts["dcP256"], nil + serverCert := dcTestCerts["dcP256"] + serverCert.DelegatedCredentials = serverDC[dcCount:] + return serverCert, nil } return dcTestCerts["no dc"], nil @@ -462,45 +476,17 @@ func testClientGetCertificate(cr *CertificateRequestInfo) (*Certificate, error) } if versOk && cr.SupportsDelegatedCredential { - return dcTestCerts["dcP256"], nil + clientCert := dcTestCerts["dcP256"] + clientCert.DelegatedCredentials = clientDC[dcCount:] + return clientCert, nil } return dcTestCerts["no dc"], nil } -// sets the dc to use for testing -var dcCounter = 0 - -// Checks that the client supports the signature algorithm supported by the test -// server, and that the server has a Delegated Credential. -func testGetDelegatedCredential(ch *ClientHelloInfo, cr *CertificateRequestInfo) (*DelegatedCredential, crypto.PrivateKey, error) { - if ch != nil { - schemeOk := false - for _, scheme := range ch.SignatureSchemesDC { - schemeOk = schemeOk || (scheme == dcTestDCScheme[dcCounter]) - } - - if schemeOk && ch.SupportsDelegatedCredential { - return serverDC[dcCounter].DelegatedCredential, serverDC[dcCounter].privateKey, nil - } - } else if cr != nil { - schemeOk := false - for _, scheme := range cr.SignatureSchemesDC { - schemeOk = schemeOk || (scheme == dcTestDCScheme[dcCounter]) - } - - if schemeOk && cr.SupportsDelegatedCredential { - return clientDC[dcCounter].DelegatedCredential, clientDC[dcCounter].privateKey, nil - } - } - - return nil, nil, nil -} - // Tests the handshake and one round of application data. Returns true if the // connection correctly used a Delegated Credential. func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string) (bool, error) { - initDCTest() ln := newLocalListener(t) defer ln.Close() @@ -569,38 +555,30 @@ func TestDCHandshakeServerAuth(t *testing.T) { clientConfig := dcTestConfig.Clone() serverConfig := dcTestConfig.Clone() - serverConfig.GetCertificate = testServerGetCertificate clientConfig.InsecureSkipVerify = true - for i, test := range dcTests { + for i, test := range dcServerTests { clientConfig.SupportDelegatedCredential = test.clientDCSupport - for dcCounter < len(dcTestDCScheme)-1 { - if test.serverDCSupport { - serverConfig.GetDelegatedCredential = testGetDelegatedCredential - dcCounter++ - } else { - serverConfig.GetDelegatedCredential = nil - } - + initDCTest() + for dcCount = 0; dcCount < len(dcTestDCSignatureScheme); dcCount++ { + serverConfig.GetCertificate = testServerGetCertificate clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client") if err != nil && test.expectSuccess { - t.Errorf("test #%d (%s) fails: %s", i+1, test.name, err.Error()) + t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) } else if err == nil && !test.expectSuccess { - t.Errorf("test #%d (%s) succeeds; expected failure", i+1, test.name) + t.Errorf("test #%d (%s) with signature algorithm #%d succeeds; expected failure", i, test.name, dcCount) } if usedDC != test.expectDC { - t.Errorf("test #%d (%s) usedDC = %v; expected %v", i+1, test.name, usedDC, test.expectDC) + t.Errorf("test #%d (%s) with signature algorithm #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) } } } - - dcCounter = 0 } // Test the client authentication with the Delegated Credential extension. @@ -614,34 +592,27 @@ func TestDCHandshakeClientAuth(t *testing.T) { clientConfig := dcTestConfig.Clone() clientConfig.GetClientCertificate = testClientGetCertificate - for i, test := range dcTests { + for j, test := range dcClientTests { serverConfig.SupportDelegatedCredential = test.serverDCSupport - for dcCounter < len(dcTestDCScheme)-1 { - if test.clientDCSupport { - clientConfig.GetDelegatedCredential = testGetDelegatedCredential - dcCounter++ - } else { - clientConfig.GetDelegatedCredential = nil - } - + initDCTest() + for dcCount = 0; dcCount < len(dcTestDCSignatureScheme); dcCount++ { serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server") if err != nil && test.expectSuccess { - t.Errorf("test #%d (%s) fails: %s", i+1, test.name, err.Error()) + t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", j, test.name, dcCount, err.Error()) } else if err == nil && !test.expectSuccess { - t.Errorf("test #%d (%s) succeeds; expected failure", i+1, test.name) + t.Errorf("test #%d (%s) with signature algorithm #%d succeeds; expected failure", j, test.name, dcCount) } if usedDC != test.expectDC { - t.Errorf("test #%d (%s) usedDC = %v; expected %v", i+1, test.name, usedDC, test.expectDC) + t.Errorf("test #%d (%s) with signature algorithm #%d usedDC = %v; expected %v", j, test.name, dcCount, usedDC, test.expectDC) } } } - dcCounter = 0 } // Test server and client authentication with the Delegated Credential extension. @@ -657,12 +628,12 @@ func TestDCHandshakeClientAndServerAuth(t *testing.T) { serverConfig.SupportDelegatedCredential = true clientConfig.SupportDelegatedCredential = true - clientConfig.GetDelegatedCredential = testGetDelegatedCredential - serverConfig.GetDelegatedCredential = testGetDelegatedCredential serverConfig.MaxVersion = VersionTLS13 clientConfig.MaxVersion = VersionTLS13 + initDCTest() + usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both") if err != nil { @@ -670,6 +641,6 @@ func TestDCHandshakeClientAndServerAuth(t *testing.T) { } if usedDC != true { - t.Errorf("test server and client auth does not succed") + t.Errorf("test server and client auth does not succeed") } } diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 9bb66bb0911..123990a304f 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -41,7 +41,7 @@ type clientHandshakeStateTLS13 struct { } // processDelegatedCredentialFromServer unmarshals the DelegatedCredential -// offered by the server (if present) and validates it using the peer +// offered by the server (if present) and validates it using the peer's // certificate. func (hs *clientHandshakeStateTLS13) processDelegatedCredentialFromServer(rawDC []byte, certVerifyMsg *certificateVerifyMsg) error { c := hs.c @@ -709,6 +709,36 @@ func certificateRequestInfo(certReq *certificateRequestMsgTLS13, vers uint16) *C return cri } +// getClientDelegatedCredential will return a Delegated Credential pair (a +// Delegated Credential and its private key) for the given CertificateRequestInfo, +// defaulting to the first element of cert.DelegatedCredentialPair. +// The returned Delegated Credential could be invalid for usage in the handshake. +// Returns an error if there are no delegated credentials or if the one found +// cannot be used for the current connection. +func getClientDelegatedCredential(cri *CertificateRequestInfo, cert *Certificate) (*DelegatedCredentialPair, error) { + if len(cert.DelegatedCredentials) == 0 { + return nil, errors.New("No Delegated Credential found.") + } + + if len(cert.DelegatedCredentials) == 1 { + // There's only one choice, so no point doing any work. + return &cert.DelegatedCredentials[0], nil + } + + for _, dcPair := range cert.DelegatedCredentials { + // If the client sent the signature_algorithms in the DC extension, ensure it supports + // schemes we can use with this delegated credential. + if len(cri.SignatureSchemesDC) > 0 { + if _, err := selectSignatureSchemeDC(VersionTLS13, dcPair.DC, cri.SignatureSchemesDC); err == nil { + return &dcPair, nil + } + } + } + + // No delegated credential can be returned. + return nil, errors.New("No valid Delegated Credential found.") +} + func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { c := hs.c @@ -723,26 +753,17 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { return err } - var dc *DelegatedCredential - if hs.certReq.supportDelegatedCredential && c.config.GetDelegatedCredential != nil { - var priv crypto.PrivateKey - var err error - dc, priv, err = c.config.GetDelegatedCredential(nil, cri) - if err != nil { - c.sendAlert(alertInternalError) - return nil - } - - if dc != nil && priv != nil { - cert.PrivateKey = priv - if dc.raw == nil { - dc.raw, err = dc.marshal() - if err != nil { - c.sendAlert(alertInternalError) - return err + var dcPair *DelegatedCredentialPair + if hs.certReq.supportDelegatedCredential && len(hs.certReq.supportedSignatureAlgorithmsDC) > 0 { + if delegatedCredentialPair, err := getClientDelegatedCredential(cri, cert); err == nil { + if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { + var err error + // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. + if delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal(); err == nil { + dcPair = delegatedCredentialPair + cert.DelegatedCredential = dcPair.DC.raw } } - cert.DelegatedCredential = dc.raw } } @@ -780,12 +801,13 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { if certMsg.delegatedCredential { suppSigAlgo = hs.certReq.supportedSignatureAlgorithmsDC - sigAlgorithm, err = selectSignatureSchemeDC(c.vers, dc, suppSigAlgo) + sigAlgorithm, err = selectSignatureSchemeDC(c.vers, dcPair.DC, suppSigAlgo) if err != nil { // getDelegatedCredential returned a delegated credential incompatible with the // CertificateRequestInfo supported signature algorithms. - c.sendAlert(alertHandshakeFailure) - return err + cert.DelegatedCredential = nil + } else { + cert.PrivateKey = dcPair.PrivateKey } } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 0f840011021..34d928ffbfc 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -44,7 +44,7 @@ type serverHandshakeStateTLS13 struct { } // processDelegatedCredentialFromClient unmarshals the DelegatedCredential -// offered by the client (if present) and validates it using the peer +// offered by the client (if present) and validates it using the peer's // certificate. func (hs *serverHandshakeStateTLS13) processDelegatedCredentialFromClient(rawDC []byte, certVerifyMsg *certificateVerifyMsg) error { c := hs.c @@ -445,6 +445,36 @@ func cloneHash(in hash.Hash, h crypto.Hash) hash.Hash { return out } +// getDelegatedCredential will return a Delegated Credential pair (a Delegated +// Credential and its private key) for the given ClientHelloInfo, defaulting to +// the first element of cert.DelegatedCredentialPair. +// The returned Delegated Credential could be invalid for usage in the handshake. +// Returns an error if there are no delegated credentials or if the one found +// cannot be used for the current connection. +func getDelegatedCredential(clientHello *ClientHelloInfo, cert *Certificate) (*DelegatedCredentialPair, error) { + if len(cert.DelegatedCredentials) == 0 { + return nil, errors.New("No Delegated Credential found.") + } + + if len(cert.DelegatedCredentials) == 1 { + // There's only one choice, so no point doing any work. + return &cert.DelegatedCredentials[0], nil + } + + for _, dcPair := range cert.DelegatedCredentials { + // The client must have sent the signature_algorithms in the DC extension: ensure it supports + // schemes we can use with this delegated credential. + if len(clientHello.SignatureSchemesDC) > 0 { + if _, err := selectSignatureSchemeDC(VersionTLS13, dcPair.DC, clientHello.SignatureSchemesDC); err == nil { + return &dcPair, nil + } + } + } + + // No delegated credential can be returned. + return nil, errors.New("No valid Delegated Credential found.") +} + func (hs *serverHandshakeStateTLS13) pickCertificate() error { c := hs.c @@ -478,34 +508,33 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.cert = certificate - if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 && c.config.GetDelegatedCredential != nil { - dc, priv, err := c.config.GetDelegatedCredential(clientHelloInfo(c, hs.clientHello), nil) + if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 { + delegatedCredentialPair, err := getDelegatedCredential(clientHelloInfo(c, hs.clientHello), hs.cert) if err != nil { - c.sendAlert(alertInternalError) + // a Delegated Credential was not found. Fallback to the certificate. return nil } - if dc != nil && priv != nil { - hs.cert.PrivateKey = priv - if dc.raw == nil { - dc.raw, err = dc.marshal() - if err != nil { - c.sendAlert(alertInternalError) - return err - } + if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { + // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. + delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal() + if err != nil { + // invalid Delegated Credential. Fallback to the certificate. + return nil } - hs.cert.DelegatedCredential = dc.raw - hs.sigAlg, err = selectSignatureSchemeDC(c.vers, dc, hs.clientHello.supportedSignatureAlgorithmsDC) + hs.sigAlg, err = selectSignatureSchemeDC(c.vers, delegatedCredentialPair.DC, hs.clientHello.supportedSignatureAlgorithmsDC) if err != nil { - // getCertificate returned a certificate that is unsupported or + // the Delegated Credential is unsupported or // incompatible with the client's signature algorithms. - c.sendAlert(alertHandshakeFailure) - return err + // Fallback to the certificate. + return nil } + + hs.cert.PrivateKey = delegatedCredentialPair.PrivateKey + hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw } } - return nil } diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index 1cad032ebe0..1808ea4d407 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -733,7 +733,7 @@ func TestWarningAlertFlood(t *testing.T) { } func TestCloneFuncFields(t *testing.T) { - const expectedCount = 7 + const expectedCount = 6 called := 0 c1 := Config{ @@ -761,10 +761,6 @@ func TestCloneFuncFields(t *testing.T) { called |= 1 << 5 return nil }, - GetDelegatedCredential: func(chi *ClientHelloInfo, cri *CertificateRequestInfo) (*DelegatedCredential, crypto.PrivateKey, error) { - called |= 1 << 6 - return nil, nil, nil - }, } c2 := c1.Clone() @@ -775,7 +771,6 @@ func TestCloneFuncFields(t *testing.T) { c2.GetConfigForClient(nil) c2.VerifyPeerCertificate(nil, nil) c2.VerifyConnection(ConnectionState{}) - c2.GetDelegatedCredential(nil, nil) if called != (1< Date: Tue, 30 Mar 2021 22:29:57 +0100 Subject: [PATCH 23/69] cryto/tls: Implement kemtls with mutual auth #66 Small fixes to the API --- src/crypto/kem/kem.go | 212 +++++++ src/crypto/kem/kem_test.go | 57 ++ src/crypto/tls/auth.go | 70 ++- src/crypto/tls/auth_test.go | 2 +- src/crypto/tls/common.go | 60 +- src/crypto/tls/common_string.go | 9 +- src/crypto/tls/conn.go | 3 + src/crypto/tls/delegated_credentials.go | 20 +- src/crypto/tls/delegated_credentials_test.go | 252 +++++++- src/crypto/tls/handshake_client.go | 72 ++- src/crypto/tls/handshake_client_kemtls.go | 289 ++++++++++ src/crypto/tls/handshake_client_tls13.go | 248 +++++--- src/crypto/tls/handshake_server.go | 3 +- src/crypto/tls/handshake_server_kemtls.go | 284 +++++++++ src/crypto/tls/handshake_server_tls13.go | 145 +++-- src/crypto/tls/key_agreement.go | 4 +- src/crypto/tls/key_schedule.go | 26 +- .../Client-TLSv10-ClientCert-ECDSA-ECDSA | 82 +-- .../Client-TLSv10-ClientCert-ECDSA-RSA | 82 +-- .../Client-TLSv10-ClientCert-RSA-ECDSA | 82 +-- .../testdata/Client-TLSv10-ClientCert-RSA-RSA | 80 +-- .../testdata/Client-TLSv10-ECDHE-ECDSA-AES | 64 +-- .../tls/testdata/Client-TLSv10-ECDHE-RSA-AES | 62 +- .../Client-TLSv10-ExportKeyingMaterial | 62 +- src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 | 30 +- .../testdata/Client-TLSv11-ECDHE-ECDSA-AES | 66 +-- .../tls/testdata/Client-TLSv11-ECDHE-RSA-AES | 62 +- src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 | 30 +- .../testdata/Client-TLSv12-AES128-GCM-SHA256 | 34 +- .../tls/testdata/Client-TLSv12-AES128-SHA256 | 48 +- .../testdata/Client-TLSv12-AES256-GCM-SHA384 | 34 +- src/crypto/tls/testdata/Client-TLSv12-ALPN | 52 +- .../Client-TLSv12-ClientCert-ECDSA-ECDSA | 86 +-- .../Client-TLSv12-ClientCert-ECDSA-RSA | 78 +-- .../testdata/Client-TLSv12-ClientCert-Ed25519 | 62 +- ...nt-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 | 74 +-- .../Client-TLSv12-ClientCert-RSA-ECDSA | 92 +-- .../testdata/Client-TLSv12-ClientCert-RSA-RSA | 74 +-- .../Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 | 74 +-- .../Client-TLSv12-ClientCert-RSA-RSAPSS | 74 +-- .../testdata/Client-TLSv12-ECDHE-ECDSA-AES | 66 +-- .../Client-TLSv12-ECDHE-ECDSA-AES-GCM | 60 +- .../Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 | 74 +-- ...lient-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 | 60 +- ...lient-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 | 56 +- .../tls/testdata/Client-TLSv12-ECDHE-RSA-AES | 62 +- .../Client-TLSv12-ECDHE-RSA-AES128-SHA256 | 70 +-- .../Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 | 52 +- src/crypto/tls/testdata/Client-TLSv12-Ed25519 | 44 +- .../Client-TLSv12-ExportKeyingMaterial | 52 +- src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 | 30 +- .../testdata/Client-TLSv12-RenegotiateOnce | 348 +++++------ .../testdata/Client-TLSv12-RenegotiateTwice | 538 +++++++++--------- .../Client-TLSv12-RenegotiateTwiceRejected | 354 ++++++------ .../Client-TLSv12-RenegotiationRejected | 58 +- src/crypto/tls/testdata/Client-TLSv12-SCT | 52 +- .../tls/testdata/Client-TLSv13-AES128-SHA256 | 138 ++--- .../tls/testdata/Client-TLSv13-AES256-SHA384 | 142 ++--- src/crypto/tls/testdata/Client-TLSv13-ALPN | 140 ++--- .../testdata/Client-TLSv13-CHACHA20-SHA256 | 138 ++--- .../Client-TLSv13-ClientCert-ECDSA-RSA | 236 ++++---- .../testdata/Client-TLSv13-ClientCert-Ed25519 | 202 +++---- .../Client-TLSv13-ClientCert-RSA-ECDSA | 225 ++++---- .../Client-TLSv13-ClientCert-RSA-RSAPSS | 244 ++++---- src/crypto/tls/testdata/Client-TLSv13-ECDSA | 130 ++--- src/crypto/tls/testdata/Client-TLSv13-Ed25519 | 94 +-- .../Client-TLSv13-ExportKeyingMaterial | 138 ++--- .../tls/testdata/Client-TLSv13-KeyUpdate | 154 ++--- src/crypto/tls/tls_test.go | 54 ++ src/crypto/x509/x509.go | 16 + src/go/build/deps_test.go | 1 + 71 files changed, 4353 insertions(+), 2915 deletions(-) create mode 100644 src/crypto/kem/kem.go create mode 100644 src/crypto/kem/kem_test.go create mode 100644 src/crypto/tls/handshake_client_kemtls.go create mode 100644 src/crypto/tls/handshake_server_kemtls.go diff --git a/src/crypto/kem/kem.go b/src/crypto/kem/kem.go new file mode 100644 index 00000000000..1bba3b9ed59 --- /dev/null +++ b/src/crypto/kem/kem.go @@ -0,0 +1,212 @@ +package kem + +import ( + "circl/dh/sidh" + "circl/kem/schemes" + "errors" + "fmt" + "io" + + "golang.org/x/crypto/cryptobyte" + "golang.org/x/crypto/curve25519" +) + +// ID identifies each type of KEM. +type ID uint16 + +const ( + // KEM25519 is X25519 as a KEM. Not quantum-safe. + KEM25519 ID = 0x01fb + // Kyber512 is a post-quantum KEM, as defined in: https://pq-crystals.org/kyber/ . + Kyber512 ID = 0x01fc + // SIKEp434 is a post-quantum KEM, as defined in: https://sike.org/ . + SIKEp434 ID = 0x01fd + + // minimum KEM to be used. + minKEM = KEM25519 + // maximum KEM to be used. + maxKEM = SIKEp434 +) + +// PrivateKey is a KEM private key. +type PrivateKey struct { + KEMId ID + PrivateKey []byte +} + +// PublicKey is a KEM public key. +type PublicKey struct { + KEMId ID + PublicKey []byte +} + +// MarshalBinary returns the byte representation of a KEM public key. +func (pubKey *PublicKey) MarshalBinary() ([]byte, error) { + var b cryptobyte.Builder + + b.AddUint16(uint16(pubKey.KEMId)) + b.AddBytes(pubKey.PublicKey) + + return b.BytesOrPanic(), nil +} + +// UnmarshalBinary produces a PublicKey from a byte array. +func (pubKey *PublicKey) UnmarshalBinary(raw []byte) error { + s := cryptobyte.String(raw) + + var id uint16 + if !s.ReadUint16(&id) { + return errors.New("crypto/kem: invalid algorithm") + } + + kemID := ID(id) + if kemID < minKEM || kemID > maxKEM { + return errors.New("crypto/kem: invalid KEM type") + } + + pubKey.KEMId = kemID + pubKey.PublicKey = raw[2:] + return nil +} + +// GenerateKey generates a keypair for a given KEM. +// It returns a KEM public and private key. +func GenerateKey(rand io.Reader, kemID ID) (*PublicKey, *PrivateKey, error) { + switch kemID { + case Kyber512: + scheme := schemes.ByName("Kyber512") + seed := make([]byte, scheme.SeedSize()) + if _, err := io.ReadFull(rand, seed); err != nil { + return nil, nil, err + } + publicKey, privateKey := scheme.DeriveKeyPair(seed) + pk, _ := publicKey.MarshalBinary() + sk, _ := privateKey.MarshalBinary() + + return &PublicKey{KEMId: kemID, PublicKey: pk}, &PrivateKey{KEMId: kemID, PrivateKey: sk}, nil + case KEM25519: + privateKey := make([]byte, curve25519.ScalarSize) + if _, err := io.ReadFull(rand, privateKey); err != nil { + return nil, nil, err + } + publicKey, err := curve25519.X25519(privateKey, curve25519.Basepoint) + if err != nil { + return nil, nil, err + } + return &PublicKey{KEMId: kemID, PublicKey: publicKey}, &PrivateKey{KEMId: kemID, PrivateKey: privateKey}, nil + case SIKEp434: + privateKey := sidh.NewPrivateKey(sidh.Fp434, sidh.KeyVariantSike) + publicKey := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) + if err := privateKey.Generate(rand); err != nil { + return nil, nil, err + } + privateKey.GeneratePublicKey(publicKey) + + pubBytes := make([]byte, publicKey.Size()) + privBytes := make([]byte, privateKey.Size()) + publicKey.Export(pubBytes) + privateKey.Export(privBytes) + return &PublicKey{KEMId: kemID, PublicKey: pubBytes}, &PrivateKey{KEMId: kemID, PrivateKey: privBytes}, nil + default: + return nil, nil, fmt.Errorf("crypto/kem: internal error: unsupported KEM %d", kemID) + } +} + +// Encapsulate returns a shared secret and a ciphertext. +func Encapsulate(rand io.Reader, pk *PublicKey) ([]byte, []byte, error) { + switch pk.KEMId { + case Kyber512: + scheme := schemes.ByName("Kyber512") + pub, err := scheme.UnmarshalBinaryPublicKey(pk.PublicKey) + if err != nil { + return nil, nil, err + } + + seed := make([]byte, scheme.EncapsulationSeedSize()) + if _, err := io.ReadFull(rand, seed); err != nil { + return nil, nil, err + } + + ct, ss, err := scheme.EncapsulateDeterministically(pub, seed) + if err != nil { + return nil, nil, err + } + return ss, ct, nil + case KEM25519: + privateKey := make([]byte, curve25519.ScalarSize) + if _, err := io.ReadFull(rand, privateKey); err != nil { + return nil, nil, err + } + ciphertext, err := curve25519.X25519(privateKey, curve25519.Basepoint) + if err != nil { + return nil, nil, err + } + sharedSecret, err := curve25519.X25519(privateKey, pk.PublicKey) + if err != nil { + return nil, nil, err + } + return sharedSecret, ciphertext, nil + case SIKEp434: + kem := sidh.NewSike434(rand) + sikepk := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) + err := sikepk.Import(pk.PublicKey) + if err != nil { + return nil, nil, err + } + + ct := make([]byte, kem.CiphertextSize()) + ss := make([]byte, kem.SharedSecretSize()) + err = kem.Encapsulate(ct, ss, sikepk) + if err != nil { + return nil, nil, err + } + return ss, ct, nil + default: + return nil, nil, errors.New("crypto/kem: internal error: unsupported KEM in Encapsulate") + } +} + +// Decapsulate returns the shared secret given the private key and the ciphertext. +func Decapsulate(privateKey *PrivateKey, ciphertext []byte) ([]byte, error) { + switch privateKey.KEMId { + case Kyber512: + scheme := schemes.ByName("Kyber512") + sk, err := scheme.UnmarshalBinaryPrivateKey(privateKey.PrivateKey) + if err != nil { + return nil, err + } + if len(ciphertext) != scheme.CiphertextSize() { + return nil, fmt.Errorf("crypto/kem: ciphertext is of len %d, expected %d", len(ciphertext), scheme.CiphertextSize()) + } + ss, err := scheme.Decapsulate(sk, ciphertext) + if err != nil { + return nil, err + } + return ss, nil + case KEM25519: + sharedSecret, err := curve25519.X25519(privateKey.PrivateKey, ciphertext) + if err != nil { + return nil, err + } + return sharedSecret, nil + case SIKEp434: + kem := sidh.NewSike434(nil) + sikesk := sidh.NewPrivateKey(sidh.Fp434, sidh.KeyVariantSike) + err := sikesk.Import(privateKey.PrivateKey) + if err != nil { + return nil, err + } + + sikepk := sidh.NewPublicKey(sidh.Fp434, sidh.KeyVariantSike) + sikesk.GeneratePublicKey(sikepk) + ss := make([]byte, kem.SharedSecretSize()) + err = kem.Decapsulate(ss, sikesk, sikepk, ciphertext) + if err != nil { + return nil, err + } + + return ss, nil + default: + return nil, errors.New("crypto/kem: internal error: unsupported KEM in Decapsulate") + } +} diff --git a/src/crypto/kem/kem_test.go b/src/crypto/kem/kem_test.go new file mode 100644 index 00000000000..5828c0d6c14 --- /dev/null +++ b/src/crypto/kem/kem_test.go @@ -0,0 +1,57 @@ +package kem + +import ( + "bytes" + "crypto/rand" + "testing" +) + +func TestKemAPI(t *testing.T) { + tests := []struct { + name string + kemID ID + }{ + {"Kem25519", KEM25519}, + {"SIKEp434", SIKEp434}, + {"Kyber512", Kyber512}, + } + for _, tt := range tests { + t.Run(tt.name, func(t *testing.T) { + publicKey, privateKey, err := GenerateKey(rand.Reader, tt.kemID) + if err != nil { + t.Fatal(err) + } + ss, ct, err := Encapsulate(rand.Reader, publicKey) + if err != nil { + t.Fatal(err) + } + + ss2, err := Decapsulate(privateKey, ct) + if err != nil { + t.Fatal(err) + } + if !bytes.Equal(ss, ss2) { + t.Fatal("Decapsulated a differing shared secret") + } + + data, _ := publicKey.MarshalBinary() + pk2 := new(PublicKey) + err = pk2.UnmarshalBinary(data) + if err != nil { + t.Fatal("error unmarshaling") + } + if pk2.KEMId != publicKey.KEMId { + t.Fatal("error unmarshaling: difference in Id") + } + if !bytes.Equal(publicKey.PublicKey, publicKey.PublicKey) { + t.Fatal("error unmarshaling: difference in public keys") + } + }) + } + + // check if a nonexisting kem fails + invalidKemID := ID(0) + if _, _, err := GenerateKey(rand.Reader, invalidKemID); err == nil { + t.Fatal("This KEM ID should've been invalid and failed") + } +} diff --git a/src/crypto/tls/auth.go b/src/crypto/tls/auth.go index 51113d88969..f6b5247c68d 100644 --- a/src/crypto/tls/auth.go +++ b/src/crypto/tls/auth.go @@ -13,6 +13,7 @@ import ( "crypto/ecdsa" "crypto/ed25519" "crypto/elliptic" + "crypto/kem" "crypto/rsa" "errors" "fmt" @@ -118,6 +119,8 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType sigType = signatureECDSA case Ed25519: sigType = signatureEd25519 + case KEMTLSWithSIKEp434, KEMTLSWithKyber512: + sigType = authKEMTLS default: scheme := circlPki.SchemeByTLSID(uint(signatureAlgorithm)) if scheme == nil { @@ -140,6 +143,8 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType hash = crypto.SHA512 case Ed25519: hash = directSigning + case KEMTLSWithSIKEp434, KEMTLSWithKyber512: + hash = directSigning default: scheme := circlPki.SchemeByTLSID(uint(signatureAlgorithm)) if scheme == nil { @@ -267,39 +272,50 @@ func signatureSchemesForCertificate(version uint16, cert *Certificate) []Signatu // This function must be kept in sync with supportedSignatureAlgorithmsDC. func signatureSchemeForDelegatedCredential(version uint16, dc *DelegatedCredential) []SignatureScheme { pub := dc.cred.publicKey - var sigAlgs []SignatureScheme - switch pub.(type) { - case *ecdsa.PublicKey: - pk, ok := pub.(*ecdsa.PublicKey) - if !ok { + + kemPub, ok := pub.(*kem.PublicKey) + if ok { + if kemPub.KEMId == kem.SIKEp434 { + sigAlgs = []SignatureScheme{KEMTLSWithSIKEp434} + } else if kemPub.KEMId == kem.Kyber512 { + sigAlgs = []SignatureScheme{KEMTLSWithKyber512} + } else { return nil } - switch pk.Curve { - case elliptic.P256(): - sigAlgs = []SignatureScheme{ECDSAWithP256AndSHA256} - case elliptic.P384(): - sigAlgs = []SignatureScheme{ECDSAWithP384AndSHA384} - case elliptic.P521(): - sigAlgs = []SignatureScheme{ECDSAWithP521AndSHA512} + } else { + switch pub.(type) { + case *ecdsa.PublicKey: + pk, ok := pub.(*ecdsa.PublicKey) + if !ok { + return nil + } + switch pk.Curve { + case elliptic.P256(): + sigAlgs = []SignatureScheme{ECDSAWithP256AndSHA256} + case elliptic.P384(): + sigAlgs = []SignatureScheme{ECDSAWithP384AndSHA384} + case elliptic.P521(): + sigAlgs = []SignatureScheme{ECDSAWithP521AndSHA512} + default: + return nil + } + case ed25519.PublicKey: + sigAlgs = []SignatureScheme{Ed25519} + case circlSign.PublicKey: + pk, ok := pub.(circlSign.PublicKey) + if !ok { + return nil + } + scheme := pk.Scheme() + tlsScheme, ok := scheme.(circlPki.TLSScheme) + if !ok { + return nil + } + sigAlgs = []SignatureScheme{SignatureScheme(tlsScheme.TLSIdentifier())} default: return nil } - case ed25519.PublicKey: - sigAlgs = []SignatureScheme{Ed25519} - case circlSign.PublicKey: - pk, ok := pub.(circlSign.PublicKey) - if !ok { - return nil - } - scheme := pk.Scheme() - tlsScheme, ok := scheme.(circlPki.TLSScheme) - if !ok { - return nil - } - sigAlgs = []SignatureScheme{SignatureScheme(tlsScheme.TLSIdentifier())} - default: - return nil } return sigAlgs diff --git a/src/crypto/tls/auth_test.go b/src/crypto/tls/auth_test.go index 0caba3c5749..c885f91e331 100644 --- a/src/crypto/tls/auth_test.go +++ b/src/crypto/tls/auth_test.go @@ -163,7 +163,7 @@ func TestSupportedSignatureAlgorithms(t *testing.T) { if sigType == 0 { t.Errorf("%v: missing signature type", sigAlg) } - if hash == 0 && sigAlg != Ed25519 && circlPki.SchemeByTLSID(uint(sigAlg)) == nil { + if hash == 0 && (sigAlg != Ed25519 && sigType != authKEMTLS) && circlPki.SchemeByTLSID(uint(sigAlg)) == nil { t.Errorf("%v: missing hash", sigAlg) } } diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 7165e0423a1..99d0073a895 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -11,6 +11,7 @@ import ( "crypto/ecdsa" "crypto/ed25519" "crypto/elliptic" + "crypto/kem" "crypto/rand" "crypto/rsa" "crypto/sha512" @@ -125,8 +126,18 @@ const ( CurveP384 CurveID = 24 CurveP521 CurveID = 25 X25519 CurveID = 29 + SIKEp434 CurveID = CurveID(kem.SIKEp434) + Kyber512 CurveID = CurveID(kem.Kyber512) ) +func (curve CurveID) isKEM() bool { + switch curve { + case SIKEp434, Kyber512: + return true + } + return false +} + // TLS 1.3 Key Share. See RFC 8446, Section 4.2.8. type keyShare struct { group CurveID @@ -171,6 +182,7 @@ const ( signatureECDSA signatureEd25519 signatureEdDilithium3 + authKEMTLS // for the KEMTLS ) // directSigning is a standard Hash value that signals that no pre-hashing @@ -205,6 +217,11 @@ var supportedSignatureAlgorithmsDC = []SignatureScheme{ Ed25519, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512, + + // authentication algorithms for KEMTLS. They are restricted for usage with Delegated + // Credentials. + KEMTLSWithSIKEp434, + KEMTLSWithKyber512, } // helloRetryRequestRandom is set as the Random value of a ServerHello @@ -322,6 +339,9 @@ type ConnectionState struct { // has been used. VerifiedDC bool + // DidKEMTLS states that the connection was established by using KEMTLS. + DidKEMTLS bool + // SignedCertificateTimestamps is a list of SCTs provided by the peer // through the TLS handshake for the leaf certificate, if any. SignedCertificateTimestamps [][]byte @@ -375,6 +395,10 @@ const ( // during the handshake, but does not require that the client send any // certificates. RequestClientCert + // RequestClientKEMCert indicates that a client certificate with a KEM + // public key should be requested during the handshake, but does not + // require that the client send any certificates. + RequestClientKEMCert // RequireAnyClientCert indicates that a client certificate should be requested // during the handshake, and that at least one certificate is required to be // sent by the client, but that certificate is not required to be valid. @@ -466,8 +490,22 @@ const ( // Legacy signature and hash algorithms for TLS 1.2. PKCS1WithSHA1 SignatureScheme = 0x0201 ECDSAWithSHA1 SignatureScheme = 0x0203 + + // KEMTLS algorithms for the Post-Quantum Cryptography experiment. + // NOTE: Do not use outside of the experiment. + KEMTLSWithSIKEp434 SignatureScheme = 0xfe00 + KEMTLSWithKyber512 SignatureScheme = 0xfe01 ) +func (scheme SignatureScheme) isKEMTLS() bool { + switch scheme { + case KEMTLSWithSIKEp434, KEMTLSWithKyber512: + return true + default: + return false + } +} + // ClientHelloInfo contains information from a ClientHello message in order to // guide application logic in the GetCertificate and GetConfigForClient callbacks. type ClientHelloInfo struct { @@ -824,6 +862,10 @@ type Config struct { // See https://tools.ietf.org/html/draft-ietf-tls-subcerts. SupportDelegatedCredential bool + // AllowKEMTLS is true if the client or server is willing + // to start a KEMTLS handshake based on TLS 1.3. + AllowKEMTLS bool + // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex // sessionTicketKeys contains zero or more ticket keys. If set, it means the @@ -914,6 +956,7 @@ func (c *Config) Clone() *Config { Renegotiation: c.Renegotiation, KeyLogWriter: c.KeyLogWriter, SupportDelegatedCredential: c.SupportDelegatedCredential, + AllowKEMTLS: c.AllowKEMTLS, ECHEnabled: c.ECHEnabled, ClientECHConfigs: c.ClientECHConfigs, ServerECHProvider: c.ServerECHProvider, @@ -1135,9 +1178,14 @@ func supportedVersionsFromMax(maxVersion uint16) []uint16 { } var defaultCurvePreferences = []CurveID{X25519, CurveP256, CurveP384, CurveP521} +var defaultKEMPreferences = []CurveID{SIKEp434, Kyber512} func (c *Config) curvePreferences() []CurveID { if c == nil || len(c.CurvePreferences) == 0 { + if c.AllowKEMTLS { + return defaultKEMPreferences + } + return defaultCurvePreferences } return c.CurvePreferences @@ -1433,11 +1481,13 @@ func (c *Config) BuildNameToCertificate() { } const ( - keyLogLabelTLS12 = "CLIENT_RANDOM" - keyLogLabelClientHandshake = "CLIENT_HANDSHAKE_TRAFFIC_SECRET" - keyLogLabelServerHandshake = "SERVER_HANDSHAKE_TRAFFIC_SECRET" - keyLogLabelClientTraffic = "CLIENT_TRAFFIC_SECRET_0" - keyLogLabelServerTraffic = "SERVER_TRAFFIC_SECRET_0" + keyLogLabelTLS12 = "CLIENT_RANDOM" + keyLogLabelClientHandshake = "CLIENT_HANDSHAKE_TRAFFIC_SECRET" + keyLogLabelServerHandshake = "SERVER_HANDSHAKE_TRAFFIC_SECRET" + keyLogLabelClientKEMAuthenticatedHandshake = "CLIENT_AUTHENTICATED_HANDSHAKE_TRAFFIC_SECRET" + keyLogLabelServerKEMAuthenticatedHandshake = "SERVER_AUTHENTICATED_HANDSHAKE_TRAFFIC_SECRET" + keyLogLabelClientTraffic = "CLIENT_TRAFFIC_SECRET_0" + keyLogLabelServerTraffic = "SERVER_TRAFFIC_SECRET_0" ) func (c *Config) writeKeyLog(label string, clientRandom, secret []byte) error { diff --git a/src/crypto/tls/common_string.go b/src/crypto/tls/common_string.go index 238108811f2..04b2e890b5d 100644 --- a/src/crypto/tls/common_string.go +++ b/src/crypto/tls/common_string.go @@ -99,12 +99,13 @@ func _() { var x [1]struct{} _ = x[NoClientCert-0] _ = x[RequestClientCert-1] - _ = x[RequireAnyClientCert-2] - _ = x[VerifyClientCertIfGiven-3] - _ = x[RequireAndVerifyClientCert-4] + _ = x[RequestClientKEMCert-2] + _ = x[RequireAnyClientCert-3] + _ = x[VerifyClientCertIfGiven-4] + _ = x[RequireAndVerifyClientCert-5] } -const _ClientAuthType_name = "NoClientCertRequestClientCertRequireAnyClientCertVerifyClientCertIfGivenRequireAndVerifyClientCert" +const _ClientAuthType_name = "NoClientCertRequestClientCertRequestClientKEMRequireAnyClientCertVerifyClientCertIfGivenRequireAndVerifyClientCert" var _ClientAuthType_index = [...]uint8{0, 12, 29, 49, 72, 98} diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 75645b389e9..394b6d903c4 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -55,6 +55,8 @@ type Conn struct { // verifiedDC contains the Delegated Credential sent by the peer (if advertised // and correctly processed), which has been verified against the leaf certificate. verifiedDC *DelegatedCredential + // didKEMTLS states that the connection was established by using KEMTLS. + didKEMTLS bool // serverName contains the server name indicated by the client, if any. serverName string // secureRenegotiation is true if the server echoed the secure @@ -1481,6 +1483,7 @@ func (c *Conn) connectionStateLocked() ConnectionState { if c.verifiedDC != nil { state.VerifiedDC = true } + state.DidKEMTLS = c.didKEMTLS state.SignedCertificateTimestamps = c.scts state.OCSPResponse = c.ocspResponse state.ECHAccepted = c.ech.accepted diff --git a/src/crypto/tls/delegated_credentials.go b/src/crypto/tls/delegated_credentials.go index 1fae172d2eb..3cb2fddea18 100644 --- a/src/crypto/tls/delegated_credentials.go +++ b/src/crypto/tls/delegated_credentials.go @@ -20,6 +20,7 @@ import ( "crypto/ecdsa" "crypto/ed25519" "crypto/elliptic" + "crypto/kem" "crypto/rand" "crypto/x509" "encoding/binary" @@ -126,7 +127,8 @@ func (cred *credential) marshalPublicKeyInfo() ([]byte, error) { case ECDSAWithP256AndSHA256, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512, - Ed25519: + Ed25519, + KEMTLSWithSIKEp434, KEMTLSWithKyber512: rawPub, err := x509.MarshalPKIXPublicKey(cred.publicKey) if err != nil { return nil, err @@ -364,6 +366,16 @@ func NewDelegatedCredential(cert *Certificate, pubAlgo SignatureScheme, validTim if err != nil { return nil, nil, err } + case KEMTLSWithSIKEp434: + pubK, privK, err = kem.GenerateKey(rand.Reader, kem.SIKEp434) + if err != nil { + return nil, nil, err + } + case KEMTLSWithKyber512: + pubK, privK, err = kem.GenerateKey(rand.Reader, kem.Kyber512) + if err != nil { + return nil, nil, err + } default: return nil, nil, fmt.Errorf("tls: unsupported algorithm for Delegated Credential: %T", pubAlgo) } @@ -417,8 +429,10 @@ func (dc *DelegatedCredential) Validate(cert *x509.Certificate, isClient bool, n return false } - if dc.cred.expCertVerfAlgo != certVerifyMsg.signatureAlgorithm { - return false + if certVerifyMsg != nil { // could be nil in the kemtls case + if dc.cred.expCertVerfAlgo != certVerifyMsg.signatureAlgorithm { + return false + } } if !isValidForDelegation(cert) { diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 3e898562122..21b6d56a30c 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -133,9 +133,12 @@ var ( dcTestConfig *Config dcTestCerts map[string]*Certificate serverDC []DelegatedCredentialPair + serverKEMDC []DelegatedCredentialPair clientDC []DelegatedCredentialPair + clientKEMDC []DelegatedCredentialPair dcNow time.Time dcTestDCSignatureScheme = []SignatureScheme{ECDSAWithP256AndSHA256, Ed25519, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512} + dcTestDCKEMScheme = []SignatureScheme{KEMTLSWithSIKEp434, KEMTLSWithKyber512} ) func init() { @@ -249,6 +252,20 @@ func initDCTest() { } clientDC = append(clientDC, DelegatedCredentialPair{dc, priv}) } + + for i := 0; i < len(dcTestDCKEMScheme); i++ { + dc, priv, err := NewDelegatedCredential(dcCertP256, dcTestDCKEMScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, false) + if err != nil { + panic(err) + } + serverKEMDC = append(serverKEMDC, DelegatedCredentialPair{dc, priv}) + + dc, priv, err = NewDelegatedCredential(dcCertP256, dcTestDCKEMScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, true) + if err != nil { + panic(err) + } + clientKEMDC = append(clientKEMDC, DelegatedCredentialPair{dc, priv}) + } } func publicKeysEqual(publicKey, publicKey2 crypto.PublicKey, algo SignatureScheme) error { @@ -486,7 +503,7 @@ func testClientGetCertificate(cr *CertificateRequestInfo) (*Certificate, error) // Tests the handshake and one round of application data. Returns true if the // connection correctly used a Delegated Credential. -func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string) (bool, error) { +func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string, kemtls bool) (bool, bool, error) { ln := newLocalListener(t) defer ln.Close() @@ -510,13 +527,13 @@ func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, ser client, err := Dial("tcp", ln.Addr().String(), clientConfig) if err != nil { - return false, err + return false, false, err } defer client.Close() server := <-serverCh if server == nil { - return false, serverErr + return false, false, serverErr } bufLen := len(clientMsg) @@ -528,24 +545,34 @@ func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, ser client.Write([]byte(clientMsg)) n, err := server.Read(buf) if err != nil || n != len(clientMsg) || string(buf[:n]) != clientMsg { - return false, fmt.Errorf("Server read = %d, buf= %q; want %d, %s", n, buf, len(clientMsg), clientMsg) + return false, false, fmt.Errorf("Server read = %d, buf= %q; want %d, %s", n, buf, len(clientMsg), clientMsg) } server.Write([]byte(serverMsg)) n, err = client.Read(buf) if n != len(serverMsg) || err != nil || string(buf[:n]) != serverMsg { - return false, fmt.Errorf("Client read = %d, %v, data %q; want %d, nil, %s", n, err, buf, len(serverMsg), serverMsg) + return false, false, fmt.Errorf("Client read = %d, %v, data %q; want %d, nil, %s", n, err, buf, len(serverMsg), serverMsg) } - if peer == "server" { - return (server.verifiedDC != nil), nil - } else if peer == "client" { - return (client.verifiedDC != nil), nil - } else if peer == "both" { - return (client.verifiedDC != nil && server.verifiedDC != nil), nil + if kemtls { + if peer == "server" { + return (server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), nil + } else if peer == "client" { + return (client.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), nil + } else if peer == "both" { + return (client.verifiedDC != nil && server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), nil + } + } else { + if peer == "server" { + return (server.verifiedDC != nil), false, nil + } else if peer == "client" { + return (client.verifiedDC != nil), false, nil + } else if peer == "both" { + return (client.verifiedDC != nil && server.verifiedDC != nil), false, nil + } } - return false, nil + return false, false, nil } // Test the server authentication with the Delegated Credential extension. @@ -560,13 +587,13 @@ func TestDCHandshakeServerAuth(t *testing.T) { for i, test := range dcServerTests { clientConfig.SupportDelegatedCredential = test.clientDCSupport - initDCTest() for dcCount = 0; dcCount < len(dcTestDCSignatureScheme); dcCount++ { + initDCTest() serverConfig.GetCertificate = testServerGetCertificate clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client") + usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -595,12 +622,12 @@ func TestDCHandshakeClientAuth(t *testing.T) { for j, test := range dcClientTests { serverConfig.SupportDelegatedCredential = test.serverDCSupport - initDCTest() for dcCount = 0; dcCount < len(dcTestDCSignatureScheme); dcCount++ { + initDCTest() serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers - usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server") + usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", j, test.name, dcCount, err.Error()) @@ -634,7 +661,7 @@ func TestDCHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both") + usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false) if err != nil { t.Errorf("test server and client auth fails: %s", err.Error()) @@ -644,3 +671,194 @@ func TestDCHandshakeClientAndServerAuth(t *testing.T) { t.Errorf("test server and client auth does not succeed") } } + +var dcKEMServerTests = []struct { + clientDCSupport bool + clientMaxVers uint16 + serverMaxVers uint16 + expectSuccess bool + expectDC bool + name string +}{ + {true, VersionTLS13, VersionTLS13, true, true, "tls13: DC client support"}, + {false, VersionTLS13, VersionTLS13, false, false, "DC not client support"}, + {true, VersionTLS12, VersionTLS13, false, false, "client using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS12, false, false, "server using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS11, VersionTLS13, false, false, "client using TLS 1.1. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, +} + +var dcKEMClientTests = []struct { + serverDCSupport bool + clientMaxVers uint16 + serverMaxVers uint16 + expectSuccess bool + expectDC bool + name string +}{ + {true, VersionTLS13, VersionTLS13, true, true, "tls13: DC server support"}, + {true, VersionTLS13, VersionTLS12, false, false, "server using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS11, VersionTLS13, false, false, "client using TLS 1.1. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, +} + +// Checks that the client suppports a version >= 1.3 and accepts Delegated +// Credentials with KEMs. If so, it returns the delegation certificate; otherwise it +// returns a non-delegated certificate. +func testServerGetKEMCertificate(ch *ClientHelloInfo) (*Certificate, error) { + versOk := false + for _, vers := range ch.SupportedVersions { + versOk = versOk || (vers >= uint16(VersionTLS13)) + } + + if versOk && ch.SupportsDelegatedCredential { + serverCert := dcTestCerts["dcP256"] + serverCert.DelegatedCredentials = serverKEMDC[dcCount:] + return serverCert, nil + } + return dcTestCerts["no dc"], nil + +} + +// Checks that the client suppports a version >= 1.3 and accepts Delegated +// Credentials with KEMs. If so, it returns the delegation certificate; otherwise it +// returns a non-Delegated certificate. +func testClientGetKEMCertificate(cr *CertificateRequestInfo) (*Certificate, error) { + versOk := false + if cr.Version == VersionTLS13 { + versOk = true + } + + if versOk && cr.SupportsDelegatedCredential { + clientCert := dcTestCerts["dcP256"] + clientCert.DelegatedCredentials = clientKEMDC[dcCount:] + return clientCert, nil + } + return dcTestCerts["no dc"], nil + +} + +// Test the server authentication with the Delegated Credential extension using +// KEMs. +func TestDCKEMHandshakeServerAuth(t *testing.T) { + serverMsg := "hello, client" + clientMsg := "hello, server" + + clientConfig := dcTestConfig.Clone() + serverConfig := dcTestConfig.Clone() + clientConfig.AllowKEMTLS = true + serverConfig.AllowKEMTLS = true + clientConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} + serverConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} + clientConfig.InsecureSkipVerify = true + + for i, test := range dcKEMServerTests { + clientConfig.SupportDelegatedCredential = test.clientDCSupport + + for dcCount = 0; dcCount < len(dcTestDCKEMScheme); dcCount++ { + initDCTest() + serverConfig.GetCertificate = testServerGetKEMCertificate + clientConfig.MaxVersion = test.clientMaxVers + serverConfig.MaxVersion = test.serverMaxVers + + usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true) + + if err != nil && test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d fails: %s", i, test.name, dcCount, err.Error()) + } else if err == nil && !test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d succeeds; expected failure", i, test.name, dcCount) + } + + if usedDC != test.expectDC { + t.Errorf("test #%d (%s) with kem #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) + } + + if !usedKEMTLS && test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) + } + } + } +} + +// Test the client authentication with the Delegated Credential extension with +// KEMs. +func TestDCKEMHandshakeClientAuth(t *testing.T) { + clientMsg := "hello, server" + serverMsg := "hello, client" + + serverConfig := dcTestConfig.Clone() + serverConfig.ClientAuth = RequestClientKEMCert + serverConfig.GetCertificate = testServerGetKEMCertificate + serverConfig.AllowKEMTLS = true + serverConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} + + clientConfig := dcTestConfig.Clone() + clientConfig.GetClientCertificate = testClientGetKEMCertificate + clientConfig.SupportDelegatedCredential = true // to force the sending of a KEM DC + clientConfig.AllowKEMTLS = true + clientConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} + + for i, test := range dcKEMClientTests { + serverConfig.SupportDelegatedCredential = test.serverDCSupport + + for dcCount = 0; dcCount < len(dcTestDCKEMScheme); dcCount++ { + initDCTest() + serverConfig.MaxVersion = test.serverMaxVers + clientConfig.MaxVersion = test.clientMaxVers + + usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", true) + + if err != nil && test.expectSuccess { + t.Errorf("test #%d (%s) with kem algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) + } else if err == nil && !test.expectSuccess { + t.Errorf("test #%d (%s) with kem algorithm #%d succeeds; expected failure", i, test.name, dcCount) + } + + if usedDC != test.expectDC { + t.Errorf("test #%d (%s) with kem algorithm #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) + } + + if !usedKEMTLS && test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) + } + } + } +} + +// Test server and client authentication with the Delegated Credential extension with kems. +func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { + clientMsg := "hello, server" + serverMsg := "hello, client" + + serverConfig := dcTestConfig.Clone() + serverConfig.ClientAuth = RequestClientKEMCert + serverConfig.GetCertificate = testServerGetKEMCertificate + clientConfig := dcTestConfig.Clone() + clientConfig.GetClientCertificate = testClientGetKEMCertificate + clientConfig.AllowKEMTLS = true + serverConfig.AllowKEMTLS = true + clientConfig.CurvePreferences = []CurveID{Kyber512} + serverConfig.CurvePreferences = []CurveID{Kyber512} + + serverConfig.SupportDelegatedCredential = true + clientConfig.SupportDelegatedCredential = true + + serverConfig.MaxVersion = VersionTLS13 + clientConfig.MaxVersion = VersionTLS13 + + initDCTest() + + usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true) + + if err != nil { + t.Errorf("test server and client auth with kems fails: %s", err.Error()) + } + + if usedDC != true { + t.Errorf("test server and client auth with kems does not succeed") + } + + if !usedKEMTLS { + t.Errorf("test server and client auth with kems did not use kemtls") + } +} diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 74d6b056fb4..b7b3189599b 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -9,6 +9,7 @@ import ( "crypto" "crypto/ecdsa" "crypto/ed25519" + "crypto/kem" "crypto/rsa" "crypto/subtle" "crypto/x509" @@ -34,7 +35,10 @@ type clientHandshakeState struct { session *ClientSessionState } -func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, ecdheParameters, error) { +// defines the private part to the handshake keyshares +type clientKeySharePrivate interface{} + +func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeySharePrivate, error) { config := c.config if len(config.ServerName) == 0 && !config.InsecureSkipVerify { return nil, nil, errors.New("tls: either ServerName or InsecureSkipVerify must be specified in the tls.Config") @@ -119,23 +123,65 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, ecdheParamet } var params ecdheParameters + var keyShares []keyShare + var keySharePrivates []clientKeySharePrivate + if hello.supportedVersions[0] == VersionTLS13 { hello.cipherSuites = append(hello.cipherSuites, defaultCipherSuitesTLS13()...) - curveID := config.curvePreferences()[0] - if _, ok := curveForCurveID(curveID); curveID != X25519 && !ok { - return nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") - } - params, err = generateECDHEParameters(config.rand(), curveID) - if err != nil { - return nil, nil, err + if !config.AllowKEMTLS { + curveID := config.curvePreferences()[0] + if _, ok := curveForCurveID(curveID); curveID != X25519 && !ok { + return nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") + } + params, err = generateECDHEParameters(config.rand(), curveID) + if err != nil { + return nil, nil, err + } + keyShares = append(keyShares, keyShare{group: curveID, data: params.PublicKey()}) + keySharePrivates = append(keySharePrivates, params) + } else { + var haveECDHE, haveKEM bool + + // loop over supported curves and kems until there is a KEM and an ECDHE curve + for _, curveID := range config.curvePreferences() { + if _, ok := curveForCurveID(curveID); curveID != X25519 && !curveID.isKEM() && !ok { + return nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") + } + + if !curveID.isKEM() && !haveECDHE { + params, err = generateECDHEParameters(config.rand(), curveID) + if err != nil { + return nil, nil, err + } + + keyShares = append(keyShares, keyShare{group: curveID, data: params.PublicKey()}) + keySharePrivates = append(keySharePrivates, params) + haveECDHE = true + } else if curveID.isKEM() && !haveKEM { + kemID := kem.ID(curveID) + pk, sk, err := kem.GenerateKey(config.rand(), kemID) + if err != nil { + return nil, nil, err + } + + keyShares = append(keyShares, keyShare{group: curveID, data: pk.PublicKey}) + keySharePrivates = append(keySharePrivates, sk) + haveKEM = true + } + + if haveECDHE && haveKEM { + break + } + } } - hello.keyShares = []keyShare{{group: curveID, data: params.PublicKey()}} + + hello.keyShares = keyShares hello.delegatedCredentialSupported = config.SupportDelegatedCredential hello.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC } - return hello, params, nil + return hello, keySharePrivates, nil } func (c *Conn) clientHandshake() (err error) { @@ -157,7 +203,7 @@ func (c *Conn) clientHandshake() (err error) { minVersion = VersionTLS13 } - helloBase, ecdheParams, err := c.makeClientHello(minVersion) + helloBase, keysharePrivates, err := c.makeClientHello(minVersion) if err != nil { return err } @@ -227,7 +273,7 @@ func (c *Conn) clientHandshake() (err error) { hello: hello, helloInner: helloInner, helloBase: helloBase, - ecdheParams: ecdheParams, + keyShare: keysharePrivates, session: session, earlySecret: earlySecret, binderKey: binderKey, @@ -885,7 +931,7 @@ func (c *Conn) verifyServerCertificate(certificates [][]byte) error { } switch certs[0].PublicKey.(type) { - case *rsa.PublicKey, *ecdsa.PublicKey, ed25519.PublicKey, circlSign.PublicKey: + case *rsa.PublicKey, *ecdsa.PublicKey, ed25519.PublicKey, circlSign.PublicKey, *kem.PublicKey: break default: c.sendAlert(alertUnsupportedCertificate) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go new file mode 100644 index 00000000000..9d6a33cf45b --- /dev/null +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -0,0 +1,289 @@ +// Copyright 2020 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package tls + +import ( + "crypto/hmac" + "crypto/kem" + "errors" + "sync/atomic" +) + +func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { + c := hs.c + + if err := hs.sendClientKEMCiphertext(); err != nil { + return err + } + + // Send the KEMTLS client certificate if asked for + if err := hs.sendKEMClientCertificate(); err != nil { + return err + } + + if _, err := c.flush(); err != nil { + return err + } + + if err := hs.readServerKEMCiphertext(); err != nil { + return err + } + + if err := hs.sendKEMTLSClientFinished(); err != nil { + return err + } + + if _, err := c.flush(); err != nil { + return err + } + + if err := hs.processKEMTLSServerFinished(); err != nil { + return err + } + + atomic.StoreUint32(&c.handshakeStatus, 1) + + return nil +} + +func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { + c := hs.c + var pk *kem.PublicKey + var ok bool + + if c.verifiedDC != nil && c.verifiedDC.cred.expCertVerfAlgo.isKEMTLS() { + pk, ok = c.verifiedDC.cred.publicKey.(*kem.PublicKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: invalid key") + } + } else { + pk, ok = c.peerCertificates[0].PublicKey.(*kem.PublicKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: invalid key") + } + } + + ss, ct, err := kem.Encapsulate(hs.c.config.Rand, pk) + if err != nil { + return err + } + + msg := clientKeyExchangeMsg{ + ciphertext: ct, + } + + _, err = c.writeRecord(recordTypeHandshake, msg.marshal()) + if err != nil { + return err + } + + _, err = hs.transcript.Write(msg.marshal()) + if err != nil { + return err + } + + // AHS <- HKDF.Extract(dHS, ss_s) + ahs := hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) + + // CAHTS <- HKDF.Expand(AHS, "c ahs traffic", CH..CKC) + clientSecret := hs.suite.deriveSecret(ahs, + clientAuthenticatedHandshakeTrafficLabel, hs.transcript) + c.out.setTrafficSecret(hs.suite, clientSecret) + // SAHTS <- HKDF.Expand(AHS, "s ahs traffic", CH..CKC) + serverSecret := hs.suite.deriveSecret(ahs, + serverAuthenticatedHandshakeTrafficLabel, hs.transcript) + c.in.setTrafficSecret(hs.suite, serverSecret) + + // dAHS <- HKDF.Expand(AHS, "derived", nil) + hs.handshakeSecret = hs.suite.deriveSecret(ahs, "derived", nil) + + err = c.config.writeKeyLog(keyLogLabelClientKEMAuthenticatedHandshake, hs.hello.random, clientSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + + err = c.config.writeKeyLog(keyLogLabelServerKEMAuthenticatedHandshake, hs.hello.random, serverSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + + return nil +} + +func (hs *clientHandshakeStateTLS13) sendKEMClientCertificate() error { + c := hs.c + + if hs.certReq == nil { + return nil + } + + cri := certificateRequestInfo(hs.certReq, c.vers) + + cert, err := c.getClientCertificate(cri) + if err != nil { + return err + } + + if hs.certReq.supportDelegatedCredential && len(hs.certReq.supportedSignatureAlgorithmsDC) > 0 { + var dcPair *DelegatedCredentialPair + if delegatedCredentialPair, err := getClientDelegatedCredential(cri, cert); err == nil { + if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { + var err error + // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. + if delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal(); err == nil { + dcPair = delegatedCredentialPair + cert.DelegatedCredential = dcPair.DC.raw + cert.PrivateKey = dcPair.PrivateKey + } + } + } + } + + _, ok := cert.PrivateKey.(*kem.PrivateKey) + if !ok { + // it has to be a KEM key + c.sendAlert(alertInternalError) + return nil + } + + certMsg := new(certificateMsgTLS13) + certMsg.certificate = *cert + hs.certKEMTLS = cert + + certMsg.scts = hs.certReq.scts && len(cert.SignedCertificateTimestamps) > 0 + certMsg.ocspStapling = hs.certReq.ocspStapling && len(cert.OCSPStaple) > 0 + certMsg.delegatedCredential = hs.certReq.supportDelegatedCredential && len(cert.DelegatedCredential) > 0 + + hs.transcript.Write(certMsg.marshal()) + if _, err := c.writeRecord(recordTypeHandshake, certMsg.marshal()); err != nil { + return err + } + + hs.handshakeTimings.WriteCertificate = hs.handshakeTimings.elapsedTime() + + return nil +} + +func (hs *clientHandshakeStateTLS13) readServerKEMCiphertext() error { + c := hs.c + + if hs.certReq == nil { + return nil + } + + sk, ok := hs.certKEMTLS.PrivateKey.(*kem.PrivateKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("crypto/tls: private key unexpectedly wrong type") + } + + msg, err := c.readHandshake() + if err != nil { + return err + } + + kexMsg, ok := msg.(*serverKeyExchangeMsg) + if !ok { + c.sendAlert(alertUnexpectedMessage) + return unexpectedMessageError(kexMsg, msg) + } + hs.transcript.Write(kexMsg.marshal()) + + ss, err := kem.Decapsulate(sk, kexMsg.key) + if err != nil { + return err + } + + // compute MS + // MS <- HKDF.Extract(dAHS, ssC) + hs.masterSecret = hs.suite.extract(ss, hs.handshakeSecret) + hs.isClientAuthKEMTLS = true + + return nil +} + +func (hs *clientHandshakeStateTLS13) sendKEMTLSClientFinished() error { + c := hs.c + + if !hs.isClientAuthKEMTLS { + hs.masterSecret = hs.suite.extract(nil, hs.handshakeSecret) + } + // fk_c <- HKDF.Expand(MS, "c finished", nil) + // CF <- HMAC(fk_c, CH..CKC) + finished := &finishedMsg{ + verifyData: hs.suite.finishedHashKEMTLS(hs.masterSecret, "c", hs.transcript), + } + + if _, err := hs.transcript.Write(finished.marshal()); err != nil { + return err + } + if _, err := c.writeRecord(recordTypeHandshake, finished.marshal()); err != nil { + return err + } + + // CATS <- HKDF.Expand(MS, "c ap traffic", CH..CF) + hs.trafficSecret = hs.suite.deriveSecret(hs.masterSecret, + clientApplicationTrafficLabel, hs.transcript) + + c.out.setTrafficSecret(hs.suite, hs.trafficSecret) + + err := c.config.writeKeyLog(keyLogLabelClientTraffic, hs.hello.random, hs.trafficSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + + return nil +} + +func (hs *clientHandshakeStateTLS13) processKEMTLSServerFinished() error { + c := hs.c + msg, err := c.readHandshake() + if err != nil { + return err + } + + finished, ok := msg.(*finishedMsg) + if !ok { + c.sendAlert(alertUnexpectedMessage) + return unexpectedMessageError(finished, msg) + } + + // HMAC(fk_s , CH..CF) + expectedMAC := hs.suite.finishedHashKEMTLS(hs.masterSecret, "s", hs.transcript) + if !hmac.Equal(expectedMAC, finished.verifyData) { + c.sendAlert(alertDecryptError) + return errors.New("tls: invalid server finished hash") + } + + if _, err := hs.transcript.Write(finished.marshal()); err != nil { + return err + } + + // SATS <- HKDF.Expand(MS, "s ap traffic", CH..SF) + serverSecret := hs.suite.deriveSecret(hs.masterSecret, + serverApplicationTrafficLabel, hs.transcript) + c.in.setTrafficSecret(hs.suite, serverSecret) + + err = c.config.writeKeyLog(keyLogLabelServerTraffic, hs.hello.random, serverSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + + if !c.config.SessionTicketsDisabled && c.config.ClientSessionCache != nil { + c.resumptionSecret = hs.suite.deriveSecret(hs.masterSecret, + resumptionLabel, hs.transcript) + } + + c.ekm = hs.suite.exportKeyingMaterial(hs.masterSecret, hs.transcript) + c.didKEMTLS = true + + return nil +} diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 123990a304f..38061fe0037 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -8,7 +8,9 @@ import ( "bytes" "crypto" "crypto/hmac" + "crypto/kem" "crypto/rsa" + "crypto/x509" "errors" "fmt" "hash" @@ -22,18 +24,25 @@ type clientHandshakeStateTLS13 struct { hello *clientHelloMsg helloInner *clientHelloMsg helloBase *clientHelloMsg - ecdheParams ecdheParameters + keyShare []clientKeySharePrivate session *ClientSessionState earlySecret []byte binderKey []byte - certReq *certificateRequestMsgTLS13 - usingPSK bool - sentDummyCCS bool + certReq *certificateRequestMsgTLS13 + usingPSK bool + sentDummyCCS bool + + keyKEMShare bool + isKEMTLS bool + isClientAuthKEMTLS bool + certKEMTLS *Certificate // only for KEMTLS + suite *cipherSuiteTLS13 transcript hash.Hash transcriptInner hash.Hash + handshakeSecret []byte masterSecret []byte trafficSecret []byte // client_application_traffic_secret_0 @@ -92,7 +101,7 @@ func (hs *clientHandshakeStateTLS13) handshake() error { } // Consistency check on the presence of a keyShare and its parameters. - if hs.ecdheParams == nil || len(hs.hello.keyShares) != 1 { + if hs.keyShare == nil || len(hs.hello.keyShares) != len(hs.keyShare) { return c.sendAlert(alertInternalError) } @@ -136,6 +145,9 @@ func (hs *clientHandshakeStateTLS13) handshake() error { if err := hs.readServerCertificate(); err != nil { return err } + if hs.isKEMTLS { + return hs.handshakeKEMTLS() + } if err := hs.readServerFinished(); err != nil { return err } @@ -280,21 +292,48 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { c.sendAlert(alertIllegalParameter) return errors.New("tls: server selected unsupported group") } - if hs.ecdheParams.CurveID() == curveID { - c.sendAlert(alertIllegalParameter) - return errors.New("tls: server sent an unnecessary HelloRetryRequest key_share") - } - if _, ok := curveForCurveID(curveID); curveID != X25519 && !ok { - c.sendAlert(alertInternalError) - return errors.New("tls: CurvePreferences includes unsupported curve") + + for _, keyShare := range hs.keyShare { + if ecdheParams, ok := keyShare.(ecdheParameters); ok { + if ecdheParams.CurveID() == curveID { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: server sent an unnecessary HelloRetryRequest key_share") + } + } else if c.config.AllowKEMTLS { + if kemShare, ok := keyShare.(*kem.PrivateKey); ok { + if CurveID(kemShare.KEMId) == curveID { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: server sent an unnecessary HelloRetryRequest key_share") + } + } + } else { + return errors.New("tls: server sent an unnecessary HelloRetryRequest key_share") + } + } - params, err := generateECDHEParameters(c.config.rand(), curveID) - if err != nil { - c.sendAlert(alertInternalError) - return err + + if curveID.isKEM() && c.config.AllowKEMTLS { + kemID := kem.ID(curveID) + pk, sk, err := kem.GenerateKey(c.config.rand(), kemID) + if err != nil { + c.sendAlert(alertInternalError) + return errors.New("tls: CurvePreferences includes unsupported kem") + } + hs.keyShare = []clientKeySharePrivate{sk} + hs.helloBase.keyShares = []keyShare{{group: CurveID(pk.KEMId), data: pk.PublicKey}} + } else { + if _, ok := curveForCurveID(curveID); (curveID != X25519 && !curveID.isKEM()) && !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: CurvePreferences includes unsupported curve") + } + params, err := generateECDHEParameters(c.config.rand(), curveID) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + hs.keyShare = []clientKeySharePrivate{params} + hs.helloBase.keyShares = []keyShare{{group: curveID, data: params.PublicKey()}} } - hs.ecdheParams = params - hs.helloBase.keyShares = []keyShare{{group: curveID, data: params.PublicKey()}} } hs.helloBase.raw = nil @@ -395,7 +434,24 @@ func (hs *clientHandshakeStateTLS13) processServerHello() error { c.sendAlert(alertIllegalParameter) return errors.New("tls: server did not send a key share") } - if hs.serverHello.serverShare.group != hs.ecdheParams.CurveID() { + + var found bool + for _, keyShare := range hs.keyShare { + if ecdheParams, ok := keyShare.(ecdheParameters); ok { + if hs.serverHello.serverShare.group == ecdheParams.CurveID() { + found = true + } + } else if c.config.AllowKEMTLS { + kemShare := keyShare.(*kem.PrivateKey) + if CurveID(kemShare.KEMId) == hs.serverHello.serverShare.group { + found = true + } + } else { + found = false + } + } + + if !found { c.sendAlert(alertIllegalParameter) return errors.New("tls: server selected unsupported group") } @@ -433,17 +489,28 @@ func (hs *clientHandshakeStateTLS13) processServerHello() error { func (hs *clientHandshakeStateTLS13) establishHandshakeKeys() error { c := hs.c - sharedKey := hs.ecdheParams.SharedKey(hs.serverHello.serverShare.data) - if sharedKey == nil { - c.sendAlert(alertIllegalParameter) - return errors.New("tls: invalid server key share") + var sharedKey []byte + for _, keyShare := range hs.keyShare { + if params, ok := keyShare.(ecdheParameters); ok && params.CurveID() == hs.serverHello.serverShare.group { + sharedKey = params.SharedKey(hs.serverHello.serverShare.data) + } else if c.config.AllowKEMTLS { + if kemPrivate, ok := keyShare.(*kem.PrivateKey); ok && kemPrivate.KEMId == kem.ID(hs.serverHello.serverShare.group) { + var err error + sharedKey, err = kem.Decapsulate(kemPrivate, hs.serverHello.serverShare.data) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + hs.keyKEMShare = true + } + } } earlySecret := hs.earlySecret if !hs.usingPSK { earlySecret = hs.suite.extract(nil, nil) } - handshakeSecret := hs.suite.extract(sharedKey, + hs.handshakeSecret = hs.suite.extract(sharedKey, hs.suite.deriveSecret(earlySecret, "derived", nil)) // If ECH was offered, then determine if it was accepted. @@ -459,7 +526,7 @@ func (hs *clientHandshakeStateTLS13) establishHandshakeKeys() error { return errors.New("tls: internal error: failed to encode ServerHelloConf") } confTranscript.Write(serverHelloConf) - conf := hs.suite.deriveSecret(handshakeSecret, + conf := hs.suite.deriveSecret(hs.handshakeSecret, echAcceptConfirmationLabel, confTranscript) if bytes.Equal(hs.serverHello.random[24:], conf[:8]) { c.ech.accepted = true @@ -477,10 +544,10 @@ func (hs *clientHandshakeStateTLS13) establishHandshakeKeys() error { // to resolve ALPN here as well. c.serverName = hs.hello.serverName - clientSecret := hs.suite.deriveSecret(handshakeSecret, + clientSecret := hs.suite.deriveSecret(hs.handshakeSecret, clientHandshakeTrafficLabel, hs.transcript) c.out.setTrafficSecret(hs.suite, clientSecret) - serverSecret := hs.suite.deriveSecret(handshakeSecret, + serverSecret := hs.suite.deriveSecret(hs.handshakeSecret, serverHandshakeTrafficLabel, hs.transcript) c.in.setTrafficSecret(hs.suite, serverSecret) @@ -495,9 +562,6 @@ func (hs *clientHandshakeStateTLS13) establishHandshakeKeys() error { return err } - hs.masterSecret = hs.suite.extract(nil, - hs.suite.deriveSecret(handshakeSecret, "derived", nil)) - return nil } @@ -544,6 +608,27 @@ func (hs *clientHandshakeStateTLS13) readServerParameters() error { return nil } +func isKEMTLSAuthUsed(peerCertificate *x509.Certificate, cert Certificate) bool { + if cert.DelegatedCredential != nil { + dCred, err := unmarshalDelegatedCredential(cert.DelegatedCredential) + if err != nil { + return false + } + + if dCred.cred.expCertVerfAlgo.isKEMTLS() { + return true + } + } + + if kemPriv, ok := peerCertificate.PublicKey.(*kem.PublicKey); ok { + if kemPriv.KEMId == kem.SIKEp434 || kemPriv.KEMId == kem.Kyber512 { + return true + } + } + + return false +} + func (hs *clientHandshakeStateTLS13) readServerCertificate() error { c := hs.c @@ -599,52 +684,67 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { return err } - msg, err = c.readHandshake() - if err != nil { - return err - } + if isKEMTLSAuthUsed(c.peerCertificates[0], certMsg.certificate) { + if certMsg.delegatedCredential { + if err := hs.processDelegatedCredentialFromServer(certMsg.certificate.DelegatedCredential, nil); err != nil { + return err + } + } - certVerify, ok := msg.(*certificateVerifyMsg) - if !ok { - c.sendAlert(alertUnexpectedMessage) - return unexpectedMessageError(certVerify, msg) - } + if hs.keyKEMShare { + hs.isKEMTLS = true + } else { + c.sendAlert(alertInternalError) + return errors.New("tls: received a KEM certificate without using KEMTLS") + } + } else { + msg, err = c.readHandshake() + if err != nil { + return err + } - // See RFC 8446, Section 4.4.3. - if !isSupportedSignatureAlgorithm(certVerify.signatureAlgorithm, supportedSignatureAlgorithms) { - c.sendAlert(alertIllegalParameter) - return errors.New("tls: certificate used with invalid signature algorithm") - } + certVerify, ok := msg.(*certificateVerifyMsg) + if !ok { + c.sendAlert(alertUnexpectedMessage) + return unexpectedMessageError(certVerify, msg) + } - sigType, sigHash, err := typeAndHashFromSignatureScheme(certVerify.signatureAlgorithm) - if err != nil { - return c.sendAlert(alertInternalError) - } - if sigType == signaturePKCS1v15 || sigHash == crypto.SHA1 { - c.sendAlert(alertIllegalParameter) - return errors.New("tls: certificate used with invalid signature algorithm") - } - if certMsg.delegatedCredential { - if err := hs.processDelegatedCredentialFromServer(certMsg.certificate.DelegatedCredential, certVerify); err != nil { - return err // alert sent + // See RFC 8446, Section 4.4.3. + if !isSupportedSignatureAlgorithm(certVerify.signatureAlgorithm, supportedSignatureAlgorithms) { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: certificate used with invalid signature algorithm") } - } - pk := c.peerCertificates[0].PublicKey - if c.verifiedDC != nil { - pk = c.verifiedDC.cred.publicKey - } + sigType, sigHash, err := typeAndHashFromSignatureScheme(certVerify.signatureAlgorithm) + if err != nil { + return c.sendAlert(alertInternalError) + } + if sigType == signaturePKCS1v15 || sigHash == crypto.SHA1 { + c.sendAlert(alertIllegalParameter) + return errors.New("tls: certificate used with invalid signature algorithm") + } + if certMsg.delegatedCredential { + if err := hs.processDelegatedCredentialFromServer(certMsg.certificate.DelegatedCredential, certVerify); err != nil { + return err // alert sent + } + } - signed := signedMessage(sigHash, serverSignatureContext, hs.transcript) - if err := verifyHandshakeSignature(sigType, pk, - sigHash, signed, certVerify.signature); err != nil { - c.sendAlert(alertDecryptError) - return errors.New("tls: invalid signature by the server certificate: " + err.Error()) - } + pk := c.peerCertificates[0].PublicKey + if c.verifiedDC != nil { + pk = c.verifiedDC.cred.publicKey + } + + signed := signedMessage(sigHash, serverSignatureContext, hs.transcript) + if err := verifyHandshakeSignature(sigType, pk, + sigHash, signed, certVerify.signature); err != nil { + c.sendAlert(alertDecryptError) + return errors.New("tls: invalid signature by the server certificate: " + err.Error()) + } - hs.transcript.Write(certVerify.marshal()) + hs.transcript.Write(certVerify.marshal()) - hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() + hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() + } return nil } @@ -652,6 +752,10 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { func (hs *clientHandshakeStateTLS13) readServerFinished() error { c := hs.c + if hs.isKEMTLS == true { + return nil + } + msg, err := c.readHandshake() if err != nil { return err @@ -675,6 +779,8 @@ func (hs *clientHandshakeStateTLS13) readServerFinished() error { // Derive secrets that take context through the server Finished. + hs.masterSecret = hs.suite.extract(nil, + hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) hs.trafficSecret = hs.suite.deriveSecret(hs.masterSecret, clientApplicationTrafficLabel, hs.transcript) serverSecret := hs.suite.deriveSecret(hs.masterSecret, @@ -742,7 +848,7 @@ func getClientDelegatedCredential(cri *CertificateRequestInfo, cert *Certificate func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { c := hs.c - if hs.certReq == nil { + if hs.certReq == nil || hs.isKEMTLS == true { return nil } @@ -843,6 +949,10 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { func (hs *clientHandshakeStateTLS13) sendClientFinished() error { c := hs.c + if hs.isKEMTLS == true { + return nil + } + finished := &finishedMsg{ verifyData: hs.suite.finishedHash(c.out.trafficSecret, hs.transcript), } diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 14c5ded23c4..5e7e90384cb 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -10,6 +10,7 @@ import ( "crypto" "crypto/ecdsa" "crypto/ed25519" + "crypto/kem" "crypto/rsa" "crypto/subtle" "crypto/x509" @@ -823,7 +824,7 @@ func (c *Conn) processCertsFromClient(certificate Certificate) error { if len(certs) > 0 { switch certs[0].PublicKey.(type) { - case *ecdsa.PublicKey, *rsa.PublicKey, ed25519.PublicKey, circlSign.PublicKey: + case *ecdsa.PublicKey, *rsa.PublicKey, ed25519.PublicKey, circlSign.PublicKey, *kem.PublicKey: default: c.sendAlert(alertUnsupportedCertificate) return fmt.Errorf("tls: client certificate contains an unsupported public key of type %T", certs[0].PublicKey) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go new file mode 100644 index 00000000000..1274fe9cb00 --- /dev/null +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -0,0 +1,284 @@ +package tls + +import ( + "crypto/hmac" + "crypto/kem" + "errors" + "sync/atomic" +) + +func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { + c := hs.c + + if err := hs.readClientKEMCiphertext(); err != nil { + return err + } + if err := hs.readClientKEMCertificate(); err != nil { + return err + } + if err := hs.sendServerKEMCiphertext(); err != nil { + return err + } + if _, err := c.flush(); err != nil { + return err + } + if err := hs.readKEMTLSClientFinished(); err != nil { + return err + } + + if err := hs.writeKEMTLSServerFinished(); err != nil { + return err + } + if _, err := c.flush(); err != nil { + return err + } + + atomic.StoreUint32(&c.handshakeStatus, 1) + + return nil +} + +func (hs *serverHandshakeStateTLS13) readClientKEMCiphertext() error { + c := hs.c + + sk, ok := hs.cert.PrivateKey.(*kem.PrivateKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("crypto/tls: private key unexpectedly of wrong type") + } + + msg, err := c.readHandshake() + if err != nil { + return err + } + + kexMsg, ok := msg.(*clientKeyExchangeMsg) + if !ok { + c.sendAlert(alertUnexpectedMessage) + return unexpectedMessageError(kexMsg, msg) + } + + hs.transcript.Write(kexMsg.marshal()) + + ss, err := kem.Decapsulate(sk, kexMsg.ciphertext) + if err != nil { + return err + } + + // derive AHS + // AHS <- HKDF.Extract(dHS, ss_s) + ahs := hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) + // CAHTS <- HKDF.Expand(AHS, "c ahs traffic", CH..CKC) + clientSecret := hs.suite.deriveSecret(ahs, + clientAuthenticatedHandshakeTrafficLabel, hs.transcript) + c.in.setTrafficSecret(hs.suite, clientSecret) + // SAHTS <- HKDF.Expand(AHS, "s ahs traffic", CH..CKC) + serverSecret := hs.suite.deriveSecret(ahs, + serverAuthenticatedHandshakeTrafficLabel, hs.transcript) + c.out.setTrafficSecret(hs.suite, serverSecret) + + // dAHS <- HKDF.Expand(AHS, "derived", nil) + hs.handshakeSecret = hs.suite.deriveSecret(ahs, "derived", nil) + + return nil +} + +func (hs *serverHandshakeStateTLS13) requestClientKEMCert() bool { + return hs.c.config.ClientAuth >= RequestClientKEMCert && !hs.usingPSK +} + +func (hs *serverHandshakeStateTLS13) readClientKEMCertificate() error { + c := hs.c + + if !hs.requestClientKEMCert() { + // Make sure the connection is still being verified whether or not + // the server requested a client certificate. + if c.config.VerifyConnection != nil { + if err := c.config.VerifyConnection(c.connectionStateLocked()); err != nil { + c.sendAlert(alertBadCertificate) + return err + } + } + return nil + } + + // If we requested a client kem certificate, then the client must send a + // kem certificate message. + msg, err := c.readHandshake() + if err != nil { + return err + } + + certMsg, ok := msg.(*certificateMsgTLS13) + if !ok { + c.sendAlert(alertUnexpectedMessage) + return unexpectedMessageError(certMsg, msg) + } + hs.transcript.Write(certMsg.marshal()) + + if err := c.processCertsFromClient(certMsg.certificate); err != nil { + return err + } + + if c.config.VerifyConnection != nil { + if err := c.config.VerifyConnection(c.connectionStateLocked()); err != nil { + c.sendAlert(alertBadCertificate) + return err + } + } + + hs.handshakeTimings.ReadCertificate = hs.handshakeTimings.elapsedTime() + + if len(certMsg.certificate.Certificate) != 0 { + if certMsg.delegatedCredential { + if err := hs.processDelegatedCredentialFromClient(certMsg.certificate.DelegatedCredential, nil); err != nil { + return err + } + } + + pk := c.peerCertificates[0].PublicKey + if c.verifiedDC != nil { + pk = c.verifiedDC.cred.publicKey + } + + _, ok = pk.(*kem.PublicKey) + if !ok { + // it has to be a KEM key + c.sendAlert(alertInternalError) + return nil + } + } + + return nil +} + +func (hs *serverHandshakeStateTLS13) sendServerKEMCiphertext() error { + c := hs.c + + if !hs.requestClientKEMCert() { + return nil + } + + var pk *kem.PublicKey + var ok bool + + if c.verifiedDC != nil && c.verifiedDC.cred.expCertVerfAlgo.isKEMTLS() { + pk, ok = c.verifiedDC.cred.publicKey.(*kem.PublicKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: invalid key") + } + } else { + pk, ok = c.peerCertificates[0].PublicKey.(*kem.PublicKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: invalid key") + } + } + + ss, ct, err := kem.Encapsulate(hs.c.config.Rand, pk) + if err != nil { + return err + } + + msg := serverKeyExchangeMsg{ + raw: nil, + key: ct, + } + + _, err = c.writeRecord(recordTypeHandshake, msg.marshal()) + if err != nil { + return err + } + _, err = hs.transcript.Write(msg.marshal()) + if err != nil { + return err + } + + // MS <- HKDF.Extract(dAHS, ssC) + hs.masterSecret = hs.suite.extract(ss, hs.handshakeSecret) + hs.isClientAuthKEMTLS = true + + return nil +} + +func (hs *serverHandshakeStateTLS13) readKEMTLSClientFinished() error { + c := hs.c + + msg, err := c.readHandshake() + if err != nil { + return err + } + + finished, ok := msg.(*finishedMsg) + if !ok { + c.sendAlert(alertUnexpectedMessage) + return unexpectedMessageError(finished, msg) + } + + if !hs.isClientAuthKEMTLS { + // compute MS + // MS <- HKDF.Extract(dAHS, 0) + hs.masterSecret = hs.suite.extract(nil, hs.handshakeSecret) + } + + // fk_s <- HKDF.Expand(MS, "s finished", nil) + expectedMAC := hs.suite.finishedHashKEMTLS(hs.masterSecret, "c", hs.transcript) + if !hmac.Equal(expectedMAC, finished.verifyData) { + c.sendAlert(alertDecryptError) + return errors.New("tls: invalid server finished hash") + } + + if _, err := hs.transcript.Write(finished.marshal()); err != nil { + return err + } + + // CATS <- HKDF.Expand(MS, "c ap traffic", CH..CF) + clientSecret := hs.suite.deriveSecret(hs.masterSecret, clientApplicationTrafficLabel, hs.transcript) + c.in.setTrafficSecret(hs.suite, clientSecret) + + err = c.config.writeKeyLog(keyLogLabelClientTraffic, hs.hello.random, clientSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + + return nil +} + +func (hs *serverHandshakeStateTLS13) writeKEMTLSServerFinished() error { + c := hs.c + + finished := &finishedMsg{ + verifyData: hs.suite.finishedHashKEMTLS(hs.masterSecret, "s", hs.transcript), + } + + if _, err := hs.transcript.Write(finished.marshal()); err != nil { + return err + } + if _, err := c.writeRecord(recordTypeHandshake, finished.marshal()); err != nil { + return err + } + + // TS <- HKDF.Expand(MS, "s ap traffic", CH..SF) + hs.trafficSecret = hs.suite.deriveSecret(hs.masterSecret, + serverApplicationTrafficLabel, hs.transcript) + + c.out.setTrafficSecret(hs.suite, hs.trafficSecret) + + err := c.config.writeKeyLog(keyLogLabelServerTraffic, hs.hello.random, hs.trafficSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + + if !c.config.SessionTicketsDisabled && c.config.ClientSessionCache != nil { + c.resumptionSecret = hs.suite.deriveSecret(hs.masterSecret, + resumptionLabel, hs.transcript) + } + + c.ekm = hs.suite.exportKeyingMaterial(hs.masterSecret, hs.transcript) + c.didKEMTLS = true + + return nil +} diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 34d928ffbfc..14e1353484b 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -8,6 +8,7 @@ import ( "bytes" "crypto" "crypto/hmac" + "crypto/kem" "crypto/rsa" "errors" "fmt" @@ -23,11 +24,16 @@ import ( const maxClientPSKIdentities = 5 type serverHandshakeStateTLS13 struct { - c *Conn - clientHello *clientHelloMsg - hello *serverHelloMsg - sentDummyCCS bool - usingPSK bool + c *Conn + clientHello *clientHelloMsg + hello *serverHelloMsg + sentDummyCCS bool + usingPSK bool + + keyKEMShare bool + isKEMTLS bool + isClientAuthKEMTLS bool + suite *cipherSuiteTLS13 cert *Certificate sigAlg SignatureScheme @@ -102,6 +108,14 @@ func (hs *serverHandshakeStateTLS13) handshake() error { if err := hs.sendServerCertificate(); err != nil { return err } + if hs.isKEMTLS { + // send application data for KEMTLS + if _, err := c.flush(); err != nil { + return err + } + + return hs.handshakeKEMTLS() + } if err := hs.sendServerFinished(); err != nil { return err } @@ -297,17 +311,29 @@ GroupSelection: clientKeyShare = &hs.clientHello.keyShares[0] } - if _, ok := curveForCurveID(selectedGroup); selectedGroup != X25519 && !ok { - c.sendAlert(alertInternalError) - return errors.New("tls: CurvePreferences includes unsupported curve") - } - params, err := generateECDHEParameters(c.config.rand(), selectedGroup) - if err != nil { - c.sendAlert(alertInternalError) - return err + if selectedGroup.isKEM() && c.config.AllowKEMTLS { + sharedKey, ciphertext, err := kem.Encapsulate(c.config.rand(), &kem.PublicKey{KEMId: kem.ID(selectedGroup), PublicKey: clientKeyShare.data}) + if err != nil { + c.sendAlert(alertInternalError) + return errors.New("tls: CurvePreferences includes unsupported curve") + } + hs.hello.serverShare = keyShare{group: selectedGroup, data: ciphertext} + hs.sharedKey = sharedKey + hs.keyKEMShare = true + } else { + if _, ok := curveForCurveID(selectedGroup); (selectedGroup != X25519 && !selectedGroup.isKEM()) && !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: CurvePreferences includes unsupported curve") + } + params, err := generateECDHEParameters(c.config.rand(), selectedGroup) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + hs.hello.serverShare = keyShare{group: selectedGroup, data: params.PublicKey()} + hs.sharedKey = params.SharedKey(clientKeyShare.data) } - hs.hello.serverShare = keyShare{group: selectedGroup, data: params.PublicKey()} - hs.sharedKey = params.SharedKey(clientKeyShare.data) + if hs.sharedKey == nil { c.sendAlert(alertIllegalParameter) return errors.New("tls: invalid client key share") @@ -533,8 +559,25 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.cert.PrivateKey = delegatedCredentialPair.PrivateKey hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw + if hs.keyKEMShare { + if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { + hs.isKEMTLS = true + } else { + return nil + } + } + } + } else { + if hs.keyKEMShare { + if hs.sigAlg.isKEMTLS() { + hs.isKEMTLS = true + } else { + c.sendAlert(alertHandshakeFailure) + return err + } } } + return nil } @@ -771,7 +814,7 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { return nil } - if hs.requestClientCert() { + if hs.requestClientCert() || hs.requestClientKEMCert() { // Request a client certificate certReq := new(certificateRequestMsgTLS13) certReq.ocspStapling = true @@ -804,39 +847,41 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { hs.handshakeTimings.WriteCertificate = hs.handshakeTimings.elapsedTime() - certVerifyMsg := new(certificateVerifyMsg) - certVerifyMsg.hasSignatureAlgorithm = true - certVerifyMsg.signatureAlgorithm = hs.sigAlg + if !hs.isKEMTLS { + certVerifyMsg := new(certificateVerifyMsg) + certVerifyMsg.hasSignatureAlgorithm = true + certVerifyMsg.signatureAlgorithm = hs.sigAlg - sigType, sigHash, err := typeAndHashFromSignatureScheme(certVerifyMsg.signatureAlgorithm) - if err != nil { - return c.sendAlert(alertInternalError) - } + sigType, sigHash, err := typeAndHashFromSignatureScheme(certVerifyMsg.signatureAlgorithm) + if err != nil { + return c.sendAlert(alertInternalError) + } - signed := signedMessage(sigHash, serverSignatureContext, hs.transcript) - signOpts := crypto.SignerOpts(sigHash) - if sigType == signatureRSAPSS { - signOpts = &rsa.PSSOptions{SaltLength: rsa.PSSSaltLengthEqualsHash, Hash: sigHash} - } - sig, err := hs.cert.PrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) - if err != nil { - public := hs.cert.PrivateKey.(crypto.Signer).Public() - if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && - rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS - c.sendAlert(alertHandshakeFailure) - } else { - c.sendAlert(alertInternalError) + signed := signedMessage(sigHash, serverSignatureContext, hs.transcript) + signOpts := crypto.SignerOpts(sigHash) + if sigType == signatureRSAPSS { + signOpts = &rsa.PSSOptions{SaltLength: rsa.PSSSaltLengthEqualsHash, Hash: sigHash} } - return errors.New("tls: failed to sign handshake: " + err.Error()) - } - certVerifyMsg.signature = sig + sig, err := hs.cert.PrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) + if err != nil { + public := hs.cert.PrivateKey.(crypto.Signer).Public() + if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && + rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS + c.sendAlert(alertHandshakeFailure) + } else { + c.sendAlert(alertInternalError) + } + return errors.New("tls: failed to sign handshake: " + err.Error()) + } + certVerifyMsg.signature = sig - hs.transcript.Write(certVerifyMsg.marshal()) - if _, err := c.writeRecord(recordTypeHandshake, certVerifyMsg.marshal()); err != nil { - return err - } + hs.transcript.Write(certVerifyMsg.marshal()) + if _, err := c.writeRecord(recordTypeHandshake, certVerifyMsg.marshal()); err != nil { + return err + } - hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() + hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() + } return nil } @@ -844,6 +889,10 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { func (hs *serverHandshakeStateTLS13) sendServerFinished() error { c := hs.c + if hs.isKEMTLS == true { + return nil + } + finished := &finishedMsg{ verifyData: hs.suite.finishedHash(c.out.trafficSecret, hs.transcript), } @@ -954,6 +1003,10 @@ func (hs *serverHandshakeStateTLS13) sendSessionTickets() error { func (hs *serverHandshakeStateTLS13) readClientCertificate() error { c := hs.c + if hs.isKEMTLS == true { + return nil + } + if !hs.requestClientCert() { // Make sure the connection is still being verified whether or not // the server requested a client certificate. @@ -1054,6 +1107,10 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { func (hs *serverHandshakeStateTLS13) readClientFinished() error { c := hs.c + if hs.isKEMTLS == true { + return nil + } + msg, err := c.readHandshake() if err != nil { return err diff --git a/src/crypto/tls/key_agreement.go b/src/crypto/tls/key_agreement.go index 1542eec14ea..66760d096f1 100644 --- a/src/crypto/tls/key_agreement.go +++ b/src/crypto/tls/key_agreement.go @@ -145,7 +145,7 @@ type ecdheKeyAgreement struct { func (ka *ecdheKeyAgreement) generateServerKeyExchange(config *Config, cert *Certificate, clientHello *clientHelloMsg, hello *serverHelloMsg) (*serverKeyExchangeMsg, error) { var curveID CurveID for _, c := range clientHello.supportedCurves { - if config.supportsCurve(c) { + if config.supportsCurve(c) && !c.isKEM() { curveID = c break } @@ -154,7 +154,7 @@ func (ka *ecdheKeyAgreement) generateServerKeyExchange(config *Config, cert *Cer if curveID == 0 { return nil, errors.New("tls: no supported elliptic curves offered") } - if _, ok := curveForCurveID(curveID); curveID != X25519 && !ok { + if _, ok := curveForCurveID(curveID); curveID != X25519 && !curveID.isKEM() && !ok { return nil, errors.New("tls: CurvePreferences includes unsupported curve") } diff --git a/src/crypto/tls/key_schedule.go b/src/crypto/tls/key_schedule.go index 314016979af..4817d96b162 100644 --- a/src/crypto/tls/key_schedule.go +++ b/src/crypto/tls/key_schedule.go @@ -21,14 +21,16 @@ import ( // schedule. See RFC 8446, Section 7. const ( - resumptionBinderLabel = "res binder" - clientHandshakeTrafficLabel = "c hs traffic" - serverHandshakeTrafficLabel = "s hs traffic" - clientApplicationTrafficLabel = "c ap traffic" - serverApplicationTrafficLabel = "s ap traffic" - exporterLabel = "exp master" - resumptionLabel = "res master" - trafficUpdateLabel = "traffic upd" + resumptionBinderLabel = "res binder" + clientHandshakeTrafficLabel = "c hs traffic" + serverHandshakeTrafficLabel = "s hs traffic" + clientApplicationTrafficLabel = "c ap traffic" + serverApplicationTrafficLabel = "s ap traffic" + clientAuthenticatedHandshakeTrafficLabel = "c ahs traffic" + serverAuthenticatedHandshakeTrafficLabel = "s ahs traffic" + exporterLabel = "exp master" + resumptionLabel = "res master" + trafficUpdateLabel = "traffic upd" ) // expandLabel implements HKDF-Expand-Label from RFC 8446, Section 7.1. @@ -89,6 +91,14 @@ func (c *cipherSuiteTLS13) finishedHash(baseKey []byte, transcript hash.Hash) [] return verifyData.Sum(nil) } +// finishedHashKEMTLS is the KEMTLS finished hash, depending on the peer role. +func (c *cipherSuiteTLS13) finishedHashKEMTLS(baseKey []byte, role string, transcript hash.Hash) []byte { + finishedKey := c.expandLabel(baseKey, role+" finished", nil, c.hash.Size()) + verifyData := hmac.New(c.hash.New, finishedKey) + verifyData.Write(transcript.Sum(nil)) + return verifyData.Sum(nil) +} + // exportKeyingMaterial implements RFC5705 exporters for TLS 1.3 according to // RFC 8446, Section 7.5. func (c *cipherSuiteTLS13) exportKeyingMaterial(masterSecret []byte, transcript hash.Hash) func(string, []byte, int) ([]byte, error) { diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA index 6fda129627a..0fa93f7aace 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 09 68 1e 95 bd |....Y...U...h...| -00000010 f3 a3 32 97 d0 26 e7 c7 a5 5c b2 31 6c e2 07 41 |..2..&...\.1l..A| -00000020 95 59 75 18 52 a8 7d 77 5a 1e be 20 35 f2 d1 f7 |.Yu.R.}wZ.. 5...| -00000030 cf 70 2a 47 5a 5c bb 36 51 4c 5e f4 82 f4 db 12 |.p*GZ\.6QL^.....| -00000040 85 7f d6 14 64 f2 e0 68 cd d0 60 1a c0 09 00 00 |....d..h..`.....| +00000000 16 03 01 00 59 02 00 00 55 03 01 27 14 34 e9 ef |....Y...U..'.4..| +00000010 89 88 53 1c 48 31 03 98 8c 7c 56 63 bc 6b 2c 86 |..S.H1...|Vc.k,.| +00000020 63 39 d2 0f 1d a0 b8 6b c5 11 84 20 43 83 47 5b |c9.....k... C.G[| +00000030 ab bb 57 2a 30 7d 37 3f a1 44 56 87 fb 14 33 8d |..W*0}7?.DV...3.| +00000040 72 cb 79 61 ee 4b fd 83 66 e8 e7 a2 c0 09 00 00 |r.ya.K..f.......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 36 53 |*............ 6S| -00000280 94 7c 57 6e f5 8d b7 95 4a 33 d3 6b aa 6e 29 68 |.|Wn....J3.k.n)h| -00000290 d4 5f e7 14 74 54 e7 03 7f fa 08 4d 7c 5f 00 8b |._..tT.....M|_..| -000002a0 30 81 88 02 42 01 d6 dd 50 59 30 e7 07 5a 06 a5 |0...B...PY0..Z..| -000002b0 01 36 99 be 5b f5 d2 8c de 25 3c 54 bd a7 af 73 |.6..[....%....Pk..| +00000300 20 45 f5 a2 87 75 77 f6 7d b3 56 5e 07 8f a3 c7 | E...uw.}.V^....| +00000310 5c 37 8c 76 32 28 78 0c a2 06 c8 4c 85 f5 d6 1d |\7.v2(x....L....| +00000320 ff 96 d3 bf 62 d2 c0 09 88 32 6d 16 03 01 00 0a |....b....2m.....| 00000330 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000340 00 00 00 |...| >>> Flow 3 (client to server) @@ -107,29 +107,29 @@ 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| 00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| -00000240 00 8d 00 8b 30 81 88 02 42 01 c0 2e 6f 21 78 02 |....0...B...o!x.| -00000250 18 c8 8a f8 58 ae 7e 72 de 74 e3 f1 8e b5 36 a1 |....X.~r.t....6.| -00000260 db f7 f0 e5 a7 ea c7 6d 13 0a 5d c4 c8 7d db 16 |.......m..]..}..| -00000270 9c bd b3 b5 41 5a f6 34 48 89 25 2b 37 55 df c0 |....AZ.4H.%+7U..| -00000280 c2 e3 a5 aa 39 37 1e 61 72 50 70 02 42 01 dd b7 |....97.arPp.B...| -00000290 b7 43 7b 22 0e 99 49 1b 7f 55 ae a2 a6 58 3e 2a |.C{"..I..U...X>*| -000002a0 33 42 ab 2e d9 f5 b9 88 6f cb 3b 0e 3b fd 75 7c |3B......o.;.;.u|| -000002b0 f9 2c 07 a8 3f 59 75 bf ef 57 78 df ed f1 00 8e |.,..?Yu..Wx.....| -000002c0 73 17 36 74 3b f3 3e ec 65 85 92 04 ad 94 81 14 |s.6t;.>.e.......| -000002d0 03 01 00 01 01 16 03 01 00 30 cd a0 a7 81 81 69 |.........0.....i| -000002e0 bc 98 74 e0 ae 41 0f e4 5c 4d a1 ac 19 a3 e1 29 |..t..A..\M.....)| -000002f0 f7 51 fc 18 60 4a a2 c6 3c c6 fb 7e 5b d8 d1 b2 |.Q..`J..<..~[...| -00000300 07 0d 97 ee ea 33 91 dc 16 17 |.....3....| +00000240 00 8d 00 8b 30 81 88 02 42 01 18 58 64 7c 8b a4 |....0...B..Xd|..| +00000250 f4 9d 40 28 19 25 c9 95 a4 e5 f0 87 03 27 ec 99 |..@(.%.......'..| +00000260 7c 26 c3 4f 64 af 73 c4 b3 fb fe 18 f7 d6 0b 64 ||&.Od.s........d| +00000270 6b 3a 5f 6b 45 96 77 b7 9a 83 38 c2 78 f2 75 19 |k:_kE.w...8.x.u.| +00000280 15 2b f1 37 d7 e0 c7 3e cf 64 82 02 42 01 b4 6c |.+.7...>.d..B..l| +00000290 9b 22 89 09 64 24 19 36 14 97 36 85 f6 a9 06 ea |."..d$.6..6.....| +000002a0 76 98 78 f8 91 97 48 a4 8a 21 9d 76 68 30 9e 9f |v.x...H..!.vh0..| +000002b0 1f 06 e1 0f dc f9 ac ca 54 94 82 09 a2 74 40 b3 |........T....t@.| +000002c0 6e 24 34 12 df f5 a7 33 12 e5 94 71 28 ac ff 14 |n$4....3...q(...| +000002d0 03 01 00 01 01 16 03 01 00 30 fa 9f 37 ed c5 cd |.........0..7...| +000002e0 a6 b3 98 f9 95 52 32 cc 6e bc b0 fd 74 1d 67 15 |.....R2.n...t.g.| +000002f0 d0 49 75 7c f4 60 12 04 07 fd f5 fc e5 c6 25 83 |.Iu|.`........%.| +00000300 83 14 ac 74 22 d6 5b c7 1a ce |...t".[...| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 fc 7c 3c 17 d7 |..........0.|<..| -00000010 14 e7 7a 17 7e 0d 44 62 d6 14 2f ad 2f ec f6 25 |..z.~.Db.././..%| -00000020 92 91 55 61 fb 0b 14 08 1b ef 66 28 5a ff 3b 0a |..Ua......f(Z.;.| -00000030 62 ad 55 2a 97 0b 77 22 5c d7 4c |b.U*..w"\.L| +00000000 14 03 01 00 01 01 16 03 01 00 30 b1 fa 6c c6 34 |..........0..l.4| +00000010 bb f3 0f d7 98 6e e4 59 36 79 43 7a cc 09 97 33 |.....n.Y6yCz...3| +00000020 fe 13 62 8f 4e d4 c3 4f 17 d1 c5 7f 9b ba 46 09 |..b.N..O......F.| +00000030 1f 6d 8f 5e c0 b8 7e 07 c8 0b ae |.m.^..~....| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 5b ab 40 97 f3 72 64 d6 35 b7 8a |.... [.@..rd.5..| -00000010 1f 57 59 a5 01 85 df 88 43 57 9d 5b c4 f7 7a ca |.WY.....CW.[..z.| -00000020 8a 6f ec 63 f5 17 03 01 00 20 57 51 f0 2c ab 51 |.o.c..... WQ.,.Q| -00000030 8b 9d 23 01 2a dc 01 bf 9b 60 56 28 5d 19 f4 43 |..#.*....`V(]..C| -00000040 c6 ea 64 8c bc 77 ea 3b 69 6c 15 03 01 00 20 78 |..d..w.;il.... x| -00000050 ff 88 e1 69 ba 7a fb 6c 2b d9 f8 2f 56 04 95 db |...i.z.l+../V...| -00000060 be aa d5 b1 73 ce 54 42 35 88 a6 25 e8 65 5e |....s.TB5..%.e^| +00000000 17 03 01 00 20 d8 fd 0e 77 30 66 05 6d 8e 2a e6 |.... ...w0f.m.*.| +00000010 e7 bf 86 b3 48 25 f0 10 13 c2 a4 35 64 5f d1 0d |....H%.....5d_..| +00000020 95 2b af c2 e4 17 03 01 00 20 c0 a1 71 bc 40 ac |.+....... ..q.@.| +00000030 a3 e0 4e a9 fb 6b 9f 8c 44 88 7a 92 72 04 46 bf |..N..k..D.z.r.F.| +00000040 a3 4f 8b 4e 17 ab 95 9a 99 83 15 03 01 00 20 a2 |.O.N.......... .| +00000050 09 c8 91 13 17 9b 4d f0 17 1b 80 de fe 1b f6 d5 |......M.........| +00000060 14 f2 7e 47 d4 7b 73 4d 9c 5b bb 26 83 20 9b |..~G.{sM.[.&. .| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA index 6252581ba70..71debb4822d 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 da e9 91 aa ce |....Y...U.......| -00000010 2e 2d 8a 34 b8 dc dd c1 f1 8c ab c8 96 c2 ed 18 |.-.4............| -00000020 70 44 cc b0 77 09 0a 3e 9f 9d f5 20 d5 2b 3a b3 |pD..w..>... .+:.| -00000030 55 0b 0b 99 82 c5 eb 12 69 d1 b0 ae 27 9c b5 44 |U.......i...'..D| -00000040 e3 2f 38 0e c9 5d e6 f0 05 85 90 1b c0 13 00 00 |./8..]..........| +00000000 16 03 01 00 59 02 00 00 55 03 01 c2 27 f9 4f e6 |....Y...U...'.O.| +00000010 20 c5 96 c9 ba 7a c7 5a 89 98 ba 4c 50 db 3d be | ....z.Z...LP.=.| +00000020 50 89 d0 e1 c7 71 82 a9 17 20 61 20 e1 62 a6 01 |P....q... a .b..| +00000030 85 1b b5 88 24 6d 32 1b 35 8a bc fb 61 9f a9 15 |....$m2.5...a...| +00000040 bb 75 b8 f5 9e 87 d7 32 f9 d2 5a 59 c0 13 00 00 |.u.....2..ZY....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 73 39 86 bc 76 a2 9b |........ s9..v..| -000002d0 0e 11 01 c8 76 f3 45 26 56 de 94 a5 e3 f3 26 e7 |....v.E&V.....&.| -000002e0 4e 6f 23 09 3e 72 e0 9e 72 00 80 c7 41 1e a5 74 |No#.>r..r...A..t| -000002f0 ea 83 fc 9f ea ba cd f7 5d 77 b5 39 f8 69 9a 10 |........]w.9.i..| -00000300 f8 9b 7e e6 ee ee da 28 b0 f2 93 9f 9f 2b 6f e4 |..~....(.....+o.| -00000310 48 bf 6e 8b db e8 98 45 e8 8f 4a d7 a6 61 44 24 |H.n....E..J..aD$| -00000320 f2 f0 16 81 0e 7f 75 1c 65 7a a4 ae 39 b3 0f e9 |......u.ez..9...| -00000330 d0 1a 53 3c 6e 28 c5 c8 b5 89 f5 e4 f1 e7 50 50 |..S>> Flow 3 (client to server) @@ -110,30 +110,30 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| -00000240 00 8d 00 8b 30 81 88 02 42 01 92 c7 12 f7 3e 6b |....0...B.....>k| -00000250 24 ac 5a 37 1d 15 3b 04 ea 70 ed b2 55 99 81 af |$.Z7..;..p..U...| -00000260 e7 10 74 26 b0 ea 87 58 69 5d ec 59 42 34 7b ff |..t&...Xi].YB4{.| -00000270 ae f4 8d 1d 80 8d f6 93 1e 19 00 bf 96 5c 39 6e |.............\9n| -00000280 24 9e a6 ae b2 6c 64 a3 9e 97 76 02 42 01 be a5 |$....ld...v.B...| -00000290 09 9c 62 45 b9 7d ec 2e 5b 50 4e 9a 3e 3c 12 86 |..bE.}..[PN.><..| -000002a0 d6 86 0c 47 30 c9 ec 83 4b e2 ca 93 37 07 a6 01 |...G0...K...7...| -000002b0 b9 1e 10 e2 b3 c2 fe 48 84 51 17 5a 1a c6 56 bf |.......H.Q.Z..V.| -000002c0 b3 44 d2 e2 4a a6 4f c1 f6 01 cb 62 4b 2b bb 14 |.D..J.O....bK+..| -000002d0 03 01 00 01 01 16 03 01 00 30 49 72 e3 d7 21 44 |.........0Ir..!D| -000002e0 fa 0e 11 82 29 bc da bc a3 4a e0 79 10 53 d4 b6 |....)....J.y.S..| -000002f0 ad 3a 3f 57 1a c0 d6 4b 85 a5 f8 f5 41 70 0a b6 |.:?W...K....Ap..| -00000300 6d dd b8 64 42 c1 44 fa 0f 59 |m..dB.D..Y| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 8f 0f 00 |...._X.;t.......| +00000240 00 8b 00 89 30 81 86 02 41 4f e1 ca d7 09 67 a5 |....0...AO....g.| +00000250 dc 0b ac 5f 4e 38 8e 6f e1 6e 3c 29 a6 95 48 ff |..._N8.o.n<)..H.| +00000260 a7 f4 a2 d1 71 e7 df 7a 28 61 52 48 fb 74 05 74 |....q..z(aRH.t.t| +00000270 74 3b ff ff 81 f6 88 49 7d 55 02 c0 02 c2 2b 45 |t;.....I}U....+E| +00000280 9e 54 59 04 06 a9 3f ca f6 82 02 41 3d 5e b3 72 |.TY...?....A=^.r| +00000290 35 a8 61 8e 19 63 7c 61 19 08 ac 33 85 28 93 7d |5.a..c|a...3.(.}| +000002a0 6a 75 a9 c8 15 d7 c5 ff f1 2c 0c 1c 50 ff fc 39 |ju.......,..P..9| +000002b0 f4 d7 db 56 f9 88 fd dc d7 95 be b4 f3 58 03 81 |...V.........X..| +000002c0 57 83 9c 27 7e d5 df 8b 6d 2d da f4 df 14 03 01 |W..'~...m-......| +000002d0 00 01 01 16 03 01 00 30 73 ac d4 f7 fe 43 ca e8 |.......0s....C..| +000002e0 67 d7 29 96 19 a5 20 72 28 59 f1 c9 0b 8b 72 d6 |g.)... r(Y....r.| +000002f0 27 cd ba 32 3d 7c 55 6d e6 d7 e2 38 91 7b 67 4e |'..2=|Um...8.{gN| +00000300 0f a8 59 a7 c6 28 8d d0 |..Y..(..| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 36 c4 ff 5e 8b |..........06..^.| -00000010 a6 04 e9 aa 20 44 b0 7e 47 df be 6a 0e 60 d5 df |.... D.~G..j.`..| -00000020 8a f1 d0 30 64 a1 eb c3 07 e2 04 af 22 ec 42 3f |...0d.......".B?| -00000030 7c f9 04 72 95 c0 b2 98 9d 87 96 ||..r.......| +00000000 14 03 01 00 01 01 16 03 01 00 30 ba 03 55 39 9f |..........0..U9.| +00000010 99 89 53 e8 a2 b7 83 fc f5 3b 32 a6 5d c2 23 cb |..S......;2.].#.| +00000020 55 8a bb d0 f1 b3 48 0f 95 77 28 e9 36 98 eb a2 |U.....H..w(.6...| +00000030 5e b9 56 23 64 4d d0 03 08 91 33 |^.V#dM....3| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 2f 66 94 95 20 75 6f c8 ae bf 94 |.... /f.. uo....| -00000010 2c e2 d3 a9 fb 7c 06 4e a4 da 6a 7a 59 2f 58 4d |,....|.N..jzY/XM| -00000020 de 17 a7 12 05 17 03 01 00 20 31 12 23 d0 12 59 |......... 1.#..Y| -00000030 24 a5 a1 3d 1c a0 de 76 26 c6 68 52 2f 9c 49 4c |$..=...v&.hR/.IL| -00000040 48 c2 f6 ba d1 ec 8c 51 67 53 15 03 01 00 20 b5 |H......QgS.... .| -00000050 e1 c3 c7 67 54 13 95 b9 60 cd 88 2f 59 6b 5f c9 |...gT...`../Yk_.| -00000060 dc c6 78 57 ca 4c 27 35 dc 2d 08 3c 6d 46 6c |..xW.L'5.-..| +00000010 80 c4 43 df 6c b8 b3 7e 1b be 16 e5 4b b2 f4 1e |..C.l..~....K...| +00000020 31 28 28 6e 6c 17 03 01 00 20 d4 ff 1c 4b 70 f9 |1((nl.... ...Kp.| +00000030 43 83 d1 a3 56 f3 7c 1c 99 b9 64 fd 99 39 3b 56 |C...V.|...d..9;V| +00000040 49 3d 90 ed ec cb 02 01 ac 6a 15 03 01 00 20 4a |I=.......j.... J| +00000050 66 d6 3c 9c b2 0d 09 7d 2a f5 b3 4e 0b 97 00 d6 |f.<....}*..N....| +00000060 1c 94 d6 ef 87 ad f3 79 84 56 84 be 24 ca 1f |.......y.V..$..| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA index efa19edb85b..101be4b9962 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 15 a0 45 2f a8 |....Y...U....E/.| -00000010 e7 84 cc df 25 84 ad e6 dd 07 0d d3 b7 c8 8c 32 |....%..........2| -00000020 35 7e c1 c5 06 7d 22 01 d9 21 1e 20 b6 6d 34 23 |5~...}"..!. .m4#| -00000030 d7 c6 a5 6e 7c 81 fa 46 ec bb ba c5 d9 5b 84 82 |...n|..F.....[..| -00000040 85 2e 56 04 32 46 ce e2 0b c8 7d 82 c0 09 00 00 |..V.2F....}.....| +00000000 16 03 01 00 59 02 00 00 55 03 01 3d 84 5a e1 b6 |....Y...U..=.Z..| +00000010 91 81 3b e3 4d e2 3a 53 a9 93 5a 96 28 7e 93 7e |..;.M.:S..Z.(~.~| +00000020 84 88 6a 49 49 c3 d4 83 8e 15 7c 20 04 e1 1d d4 |..jII.....| ....| +00000030 a1 a3 35 26 bb e3 de 8e 27 28 00 d5 d6 66 01 37 |..5&....'(...f.7| +00000040 0e 6f a1 88 f4 7f 37 29 d1 3b f8 28 c0 09 00 00 |.o....7).;.(....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 51 14 |*............ Q.| -00000280 f9 05 aa 63 90 72 8e 2c 58 56 09 2a be 61 12 01 |...c.r.,XV.*.a..| -00000290 db 65 66 65 f5 93 57 f1 bf f8 7f 64 bd 6c 00 8b |.efe..W....d.l..| -000002a0 30 81 88 02 42 01 40 11 7a ba 8a 2e 34 3e 06 63 |0...B.@.z...4>.c| -000002b0 80 82 05 10 a2 be 4a ec ce ed b4 7d f2 17 cd 7d |......J....}...}| -000002c0 38 ef f8 90 d5 ee 89 8c 01 77 53 76 c8 cd 1d 51 |8........wSv...Q| -000002d0 ba 6c 85 fc 5e 88 51 b9 71 0b 05 ea d9 17 e4 b2 |.l..^.Q.q.......| -000002e0 7e ed 74 21 5c 36 2f 02 42 01 fb 77 8a 2a c7 0d |~.t!\6/.B..w.*..| -000002f0 0c 96 d6 05 be 4d 4f 0e 3c 18 02 e9 40 da 42 44 |.....MO.<...@.BD| -00000300 e1 24 15 00 26 1e 1e 3c b0 d3 1f 92 12 e0 b2 65 |.$..&..<.......e| -00000310 ae 86 e4 a1 ed 19 fd 03 8e 1a b9 65 96 51 3c 0d |...........e.Q<.| -00000320 69 45 5a cb ba e3 5d 1c 0e 19 55 16 03 01 00 0a |iEZ...]...U.....| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 cb db |*............ ..| +00000280 91 b7 31 e6 70 3c 36 41 fc b4 ef f3 44 50 21 6f |..1.p<6A....DP!o| +00000290 c6 6c d8 bd 46 79 94 15 28 98 ae 4a b0 15 00 8b |.l..Fy..(..J....| +000002a0 30 81 88 02 42 01 c2 80 a2 17 c7 1e 6c f3 65 c3 |0...B.......l.e.| +000002b0 f5 2c e7 cd cb b3 07 d8 e7 77 56 2c 8b 51 66 19 |.,.......wV,.Qf.| +000002c0 1d 1b f7 25 2a de 37 24 93 27 c2 5a 98 18 8b ec |...%*.7$.'.Z....| +000002d0 5a d9 c6 e3 28 bc ac 22 40 89 bb 36 45 74 a6 bc |Z...(.."@..6Et..| +000002e0 41 85 87 fa e2 13 8a 02 42 00 97 34 99 c1 aa 41 |A.......B..4...A| +000002f0 34 05 fa b7 b7 76 27 d7 f4 a0 5a 06 d2 d5 5b e7 |4....v'...Z...[.| +00000300 0b 25 a6 b2 e2 41 db b4 3d ed d7 79 11 af 5c 50 |.%...A..=..y..\P| +00000310 bc 8a 70 18 5b aa 20 29 35 40 84 65 b4 5e 92 4a |..p.[. )5@.e.^.J| +00000320 83 32 2c 13 37 4d 13 ca c2 56 3d 16 03 01 00 0a |.2,.7M...V=.....| 00000330 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000340 00 00 00 |...| >>> Flow 3 (client to server) @@ -106,29 +106,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 4a a9 44 5d 44 d0 6e 93 4e |.......J.D]D.n.N| -00000240 36 46 b2 d1 0d e9 8e 13 3c f3 13 97 54 48 b8 a2 |6F......<...TH..| -00000250 4a 4b 6b 29 24 17 3d 00 a7 27 f7 0a a2 d3 2e 5d |JKk)$.=..'.....]| -00000260 77 43 f6 b9 6c 6c 95 3d 57 f7 9a 08 04 37 76 ba |wC..ll.=W....7v.| -00000270 49 76 b9 49 0c bb 79 14 79 e3 ff 73 ae d1 b8 70 |Iv.I..y.y..s...p| -00000280 ec 98 a6 0a d6 24 01 e8 f7 ed 51 10 c5 67 09 b9 |.....$....Q..g..| -00000290 5d 51 c5 fd 6f 32 d0 ff 26 38 5d 62 59 92 46 4e |]Q..o2..&8]bY.FN| -000002a0 c5 9e f3 37 86 90 03 9d d4 dc fe 9e e8 84 af 7a |...7...........z| -000002b0 14 a2 69 ff 99 5f a7 14 03 01 00 01 01 16 03 01 |..i.._..........| -000002c0 00 30 29 a5 1e e9 58 1b 8d 0d cd 2c 8f d4 82 b1 |.0)...X....,....| -000002d0 7c 50 f9 f3 84 5c 1a 28 b3 b9 83 5e 76 b9 4c b2 ||P...\.(...^v.L.| -000002e0 57 dd 85 ca 4e cb 00 84 29 31 ee 5a aa 6b 81 1e |W...N...)1.Z.k..| -000002f0 76 ac |v.| +00000230 86 0f 00 00 82 00 80 21 20 77 0a 5e 19 b2 2e 11 |.......! w.^....| +00000240 cd 89 b3 78 1f 76 9c be 0b 15 c0 96 10 b7 37 05 |...x.v........7.| +00000250 93 94 02 c9 8d 03 53 4e 50 6a 30 59 95 45 1d f6 |......SNPj0Y.E..| +00000260 ac c8 63 be 26 a1 78 62 1f ff 43 ff 4e f5 c6 0a |..c.&.xb..C.N...| +00000270 54 dc 5c fc 25 a0 fd 9a ad 30 b4 6c d3 2b 45 2a |T.\.%....0.l.+E*| +00000280 85 ad ec d4 ae 0c b9 ad 67 34 47 df 14 81 bb ab |........g4G.....| +00000290 ae 27 cc 2e aa 30 d3 76 fc ec 95 71 dc 55 b5 0e |.'...0.v...q.U..| +000002a0 c3 a5 4a b9 e5 2f fe f3 27 b7 d8 a9 15 45 9b 43 |..J../..'....E.C| +000002b0 b4 28 cb 4f 65 ad ad 14 03 01 00 01 01 16 03 01 |.(.Oe...........| +000002c0 00 30 6f c9 14 6d 7b 10 88 83 a0 aa a5 4a b9 87 |.0o..m{......J..| +000002d0 9e f0 73 dd 7c 9a 1b 26 45 19 67 d2 08 6b 14 82 |..s.|..&E.g..k..| +000002e0 b3 1a 95 44 33 d1 9e 8b 10 a5 04 54 49 bf 8e e9 |...D3......TI...| +000002f0 ce 28 |.(| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 77 1f 9a 38 6c |..........0w..8l| -00000010 73 af 46 87 88 41 02 d4 c6 ef 87 9c d7 c9 b5 20 |s.F..A......... | -00000020 ed 2a 73 4c 52 07 85 3f 7a ef bc 26 f4 f2 e5 7b |.*sLR..?z..&...{| -00000030 ed f1 79 d4 78 74 18 fd 57 0c 1d |..y.xt..W..| +00000000 14 03 01 00 01 01 16 03 01 00 30 6b af c3 91 14 |..........0k....| +00000010 c1 b1 2f fa 96 60 d8 f9 41 3d 31 a9 5d 56 fe 1d |../..`..A=1.]V..| +00000020 c7 6f a4 f3 7b 80 38 8b 71 ca 41 c6 f7 fb 93 ca |.o..{.8.q.A.....| +00000030 37 99 0c 28 f3 a0 d9 02 08 30 0a |7..(.....0.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 46 89 a0 2c dd 3b 22 21 c9 2d 7e |.... F..,.;"!.-~| -00000010 93 6f 20 f3 b1 95 b5 38 da 47 11 d0 22 6f 82 05 |.o ....8.G.."o..| -00000020 7e 58 5a ae f8 17 03 01 00 20 4a e1 5c cf 8f a6 |~XZ...... J.\...| -00000030 48 b2 8c 3e 59 a6 68 ff cb 29 33 d4 ef 57 ec 9a |H..>Y.h..)3..W..| -00000040 1b a1 e8 f3 31 58 61 12 0d da 15 03 01 00 20 16 |....1Xa....... .| -00000050 b0 ec 00 0f 5b b4 18 79 c8 aa 4b b2 34 ba c4 2f |....[..y..K.4../| -00000060 c2 fc 75 42 16 4a ff cd 74 97 32 4e c7 ed 35 |..uB.J..t.2N..5| +00000000 17 03 01 00 20 b5 f1 79 b7 8a 16 be 50 cb 88 94 |.... ..y....P...| +00000010 69 18 d6 3c b3 54 5d 36 56 a5 19 eb c2 e2 f1 16 |i..<.T]6V.......| +00000020 8f eb 9f 07 bd 17 03 01 00 20 35 af 06 46 ec f8 |......... 5..F..| +00000030 c5 b2 38 65 eb cf 49 20 b7 ab 09 db 67 de 72 4c |..8e..I ....g.rL| +00000040 52 dc e3 53 4b 76 2f 1d 92 5e 15 03 01 00 20 80 |R..SKv/..^.... .| +00000050 e3 ea b2 ea 3b 75 07 6e 1c f0 84 e7 33 24 89 0a |....;u.n....3$..| +00000060 00 df 9f 69 8e 15 f3 a8 e2 3e 48 1d 40 7f f7 |...i.....>H.@..| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA index c7115447585..417438f6c5a 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 af d6 05 1e 5e |....Y...U......^| -00000010 31 0a 4c ad 86 26 39 5c 5d d5 95 75 84 0c d7 70 |1.L..&9\]..u...p| -00000020 fa 49 43 4f 1b 11 f2 a4 55 0d e5 20 6a 22 3f 16 |.ICO....U.. j"?.| -00000030 2c c7 00 e6 2a bf da a8 08 73 86 92 2c 08 3f 79 |,...*....s..,.?y| -00000040 87 45 36 88 f7 30 ce 05 44 86 5c c8 c0 13 00 00 |.E6..0..D.\.....| +00000000 16 03 01 00 59 02 00 00 55 03 01 33 5a 5a 16 44 |....Y...U..3ZZ.D| +00000010 0d 60 7f 08 cb 06 30 32 05 5c fe de 51 17 25 ee |.`....02.\..Q.%.| +00000020 4e 6b 80 f8 f4 ee 63 3f 43 a9 44 20 fa b9 e4 8a |Nk....c?C.D ....| +00000030 8a 79 aa 66 f0 08 b4 4a c4 7c d8 90 55 25 8d f3 |.y.f...J.|..U%..| +00000040 09 b3 a9 20 f3 66 3a cb 5e 33 83 af c0 13 00 00 |... .f:.^3......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 64 a7 79 1a 31 90 6f |........ d.y.1.o| -000002d0 7e b6 1c cd c1 9d f8 eb e9 cc 55 0b f6 28 6b ae |~.........U..(k.| -000002e0 40 f3 67 07 a9 a2 c8 d5 17 00 80 13 33 33 84 ef |@.g.........33..| -000002f0 cf 29 4e 43 b1 62 4b 7b 4b dc 6c 94 97 5b ec de |.)NC.bK{K.l..[..| -00000300 fb f3 3c e3 18 08 ea 84 59 4f d2 a8 ae 91 30 e5 |..<.....YO....0.| -00000310 44 f2 0b 3f e9 be 06 44 c3 35 a1 53 b1 74 78 90 |D..?...D.5.S.tx.| -00000320 38 cb 25 69 ee 01 b8 0b ca e9 91 1b b9 0b 0d 8a |8.%i............| -00000330 2d f5 0d 89 21 c3 b8 93 ed ad 46 98 ed 20 15 c0 |-...!.....F.. ..| -00000340 85 4a 95 11 d5 a6 74 db 43 5e 2a d4 e1 8b 92 58 |.J....t.C^*....X| -00000350 ee 74 a2 f5 3e fd b5 1f 97 85 2d 0e 03 6e b8 51 |.t..>.....-..n.Q| -00000360 85 4c 2b 34 41 c3 bf 00 cd 93 65 16 03 01 00 0a |.L+4A.....e.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 98 74 8a d9 ff 74 5d |........ .t...t]| +000002d0 92 1c 11 69 17 1f b0 51 68 f3 1b 1d 55 73 b7 0b |...i...Qh...Us..| +000002e0 19 25 24 b3 c3 55 fb 32 04 00 80 0f 95 ef 96 f3 |.%$..U.2........| +000002f0 4d 8f b6 7e 7c ec cb 5f d1 cf 42 20 6f 82 14 cc |M..~|.._..B o...| +00000300 22 c7 88 a9 17 04 bf 86 f1 4b 40 11 1c 3f d2 15 |"........K@..?..| +00000310 f4 82 a1 2a a8 74 02 ce 72 65 7f c3 0a 04 11 b9 |...*.t..re......| +00000320 f0 c7 00 12 ae 4f 33 15 18 88 11 a9 72 48 2a 14 |.....O3.....rH*.| +00000330 a2 a9 37 f0 c8 64 b7 2a 8e 3c 97 46 e4 1c 98 da |..7..d.*.<.F....| +00000340 c9 a1 9b 59 e9 3d 76 3f d8 d1 2b 9b 86 4d de b9 |...Y.=v?..+..M..| +00000350 c8 0b 87 0c 76 54 db 09 bc 32 d1 6d cc d2 25 25 |....vT...2.m..%%| +00000360 03 bc 23 a5 cb 9e f8 51 30 f1 3e 16 03 01 00 0a |..#....Q0.>.....| 00000370 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000380 00 00 00 |...| >>> Flow 3 (client to server) @@ -110,29 +110,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 12 c7 92 8f 69 07 7d c2 22 |...........i.}."| -00000240 d2 8a ac ce 70 97 c3 48 ff d8 88 7f cc 4d 7b c0 |....p..H.....M{.| -00000250 62 a5 64 40 b9 7f 44 2d 6e cf 57 98 7f b6 9d 08 |b.d@..D-n.W.....| -00000260 5d 8e 5d d2 75 0b e7 64 1f 85 6b c4 62 6d 28 0f |].].u..d..k.bm(.| -00000270 8a d2 62 06 70 8b 38 ca da d1 5c 65 14 57 6f 48 |..b.p.8...\e.WoH| -00000280 7d f8 52 82 b5 14 20 5c 19 ea 73 bf fe 53 ae 0e |}.R... \..s..S..| -00000290 6a 61 99 68 5e fc 12 5c f4 c8 11 f1 6a ae 92 af |ja.h^..\....j...| -000002a0 0f d6 83 0f 95 fc ac 14 59 71 50 31 0e 5d 3a ae |........YqP1.]:.| -000002b0 1f 9b 87 d8 1c 8b 8d 14 03 01 00 01 01 16 03 01 |................| -000002c0 00 30 99 0f 9b 2e 4c 86 78 eb 20 66 6d 76 05 90 |.0....L.x. fmv..| -000002d0 11 19 ce fb d2 67 fa 60 f9 4f f5 9b 64 32 24 76 |.....g.`.O..d2$v| -000002e0 e0 52 a5 57 44 63 4b 2d 2c af e7 27 c4 14 01 d0 |.R.WDcK-,..'....| -000002f0 08 57 |.W| +00000230 86 0f 00 00 82 00 80 99 07 80 8e 17 1f b8 d0 60 |...............`| +00000240 64 db 70 95 dc ad c9 71 09 3c e8 ad 3c 6a 8c ec |d.p....q.<..>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 2e 29 8f 2a 9f |..........0.).*.| -00000010 80 bb 29 25 28 5c dd 32 81 e7 e9 f8 82 45 3b eb |..)%(\.2.....E;.| -00000020 8c 8e 0c e3 54 f5 e9 23 9e be 6b 5b 92 23 a6 fd |....T..#..k[.#..| -00000030 eb 38 b0 55 a2 dd 2f a7 99 70 fe |.8.U../..p.| +00000000 14 03 01 00 01 01 16 03 01 00 30 7c d5 b5 a0 88 |..........0|....| +00000010 ff 7b 84 c7 62 f5 91 12 59 cb b6 a2 20 1f 53 01 |.{..b...Y... .S.| +00000020 13 d8 54 e9 2a f7 48 b2 e9 bd 0f 91 6f e2 f8 ba |..T.*.H.....o...| +00000030 cb 52 67 7f 62 15 5a 4a a7 4e 06 |.Rg.b.ZJ.N.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 c2 6b e9 5d ff f8 82 9f e4 10 f2 |.... .k.].......| -00000010 61 ee 4a f7 23 b1 d5 52 bc 26 e3 a8 02 57 e5 c1 |a.J.#..R.&...W..| -00000020 63 4b 04 97 0f 17 03 01 00 20 71 45 35 fe 46 d2 |cK....... qE5.F.| -00000030 42 5b a6 ca ab ad f6 08 b7 3c 34 49 5f 3c 0a 43 |B[.......<4I_<.C| -00000040 ad 9b 9a c1 1e fd 3f 5d da cb 15 03 01 00 20 65 |......?]...... e| -00000050 a7 09 04 4d 5c fd 1c ef 2b 28 47 51 2f 45 f3 2b |...M\...+(GQ/E.+| -00000060 fc 13 80 27 5c 6f 08 e9 38 23 e5 c7 ae 12 f1 |...'\o..8#.....| +00000000 17 03 01 00 20 5e fa 90 47 e4 c5 c2 f2 87 8b 6e |.... ^..G......n| +00000010 d9 5d a4 b1 7b 85 03 9c 91 c9 34 de 61 f4 d6 83 |.]..{.....4.a...| +00000020 83 52 c3 98 9a 17 03 01 00 20 56 d5 5a 96 16 08 |.R....... V.Z...| +00000030 8c 27 d8 60 a0 f0 5d 5f 1f 8a f7 ac 94 ad cf 71 |.'.`..]_.......q| +00000040 45 fa 5f b8 20 b3 20 dd a9 35 15 03 01 00 20 b9 |E._. . ..5.... .| +00000050 eb 4b 3e b1 97 77 aa ee 11 d5 12 cb 0f 14 99 f4 |.K>..w..........| +00000060 08 89 7e ec 82 cf fb 90 27 29 fd 74 e0 01 f4 |..~.....').t...| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES index c1a1e3b653c..42781122883 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 34 12 45 b7 2b |....Y...U..4.E.+| -00000010 db 55 7e 15 0b 74 63 6f a9 83 b3 0b 14 39 2c 2a |.U~..tco.....9,*| -00000020 4b d0 fb 19 39 da 52 96 11 45 d1 20 98 c4 5b 66 |K...9.R..E. ..[f| -00000030 23 a7 7e d6 8d 01 94 76 06 07 3e 83 a6 c8 cf 0f |#.~....v..>.....| -00000040 53 ac 1d 28 f7 b3 ad 8c 16 f4 e1 b4 c0 09 00 00 |S..(............| +00000000 16 03 01 00 59 02 00 00 55 03 01 3e cb 44 1a 0a |....Y...U..>.D..| +00000010 9e cc df ee 9d d5 6c f0 12 28 8c 5c f9 64 1e 3b |......l..(.\.d.;| +00000020 f8 58 65 c2 e3 de 1b f3 15 f3 ae 20 22 5d a1 39 |.Xe........ "].9| +00000030 4e 1a 3d be f6 31 fe 28 90 5a a8 16 00 53 5f 63 |N.=..1.(.Z...S_c| +00000040 76 71 28 ec eb 43 3f e1 41 c8 c4 7e c0 09 00 00 |vq(..C?.A..~....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,37 +56,37 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 24 a7 |*............ $.| -00000280 0e d2 64 8e 7e a9 0f 9d d6 7a 02 18 b9 36 4d 78 |..d.~....z...6Mx| -00000290 24 e0 8d 6a 54 41 fe 70 eb d0 a6 02 44 58 00 8b |$..jTA.p....DX..| -000002a0 30 81 88 02 42 01 21 2a c5 54 c6 c7 6a e1 b4 3d |0...B.!*.T..j..=| -000002b0 0c 65 dc 17 b8 22 87 df d2 d8 3d 31 02 64 b2 09 |.e..."....=1.d..| -000002c0 bb 39 38 5a 88 0b 8d 04 49 1f b4 21 ea 9e a5 c2 |.98Z....I..!....| -000002d0 79 44 7c 12 6c 37 9c 3b 47 2f d9 43 0b 95 e2 26 |yD|.l7.;G/.C...&| -000002e0 10 4e 3e 84 5f d9 0f 02 42 01 16 3f ff a0 82 b5 |.N>._...B..?....| -000002f0 2d 51 e6 f3 e9 8a c1 96 47 d7 a8 f0 d8 97 f4 1c |-Q......G.......| -00000300 77 60 eb 75 cc f5 4a 2d ac a4 ad 45 56 f3 90 8d |w`.u..J-...EV...| -00000310 20 86 39 47 7b 46 35 13 f4 88 81 94 8c 25 73 6f | .9G{F5......%so| -00000320 fa ee 26 82 8b 5a d1 39 02 f7 65 16 03 01 00 04 |..&..Z.9..e.....| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 ce ed |*............ ..| +00000280 36 66 f7 98 f5 7c 54 ef 23 fb 29 b0 9a de 10 ad |6f...|T.#.).....| +00000290 9f 7a 4d aa 80 e3 f6 07 82 47 86 6e a3 1c 00 8b |.zM......G.n....| +000002a0 30 81 88 02 42 00 db 35 8e 71 eb 41 93 69 5c 5c |0...B..5.q.A.i\\| +000002b0 bb 1c 90 90 2d 13 0e 90 49 d3 57 b8 10 f7 b6 fa |....-...I.W.....| +000002c0 42 9d 6e 7c c1 5c 22 89 9b 0f 9f b0 d2 f7 f1 10 |B.n|.\".........| +000002d0 75 61 0a 0b 73 83 e7 7b 6f 5a d2 46 7a 6a da ba |ua..s..{oZ.Fzj..| +000002e0 2c cf 2d 81 42 dc 2b 02 42 00 de b5 75 06 57 46 |,.-.B.+.B...u.WF| +000002f0 db dd da a2 e5 5d fc e2 51 7d 19 6b f0 04 6b 09 |.....]..Q}.k..k.| +00000300 97 8d a7 6e 25 aa a9 b9 1f dd b0 f6 38 a0 f6 96 |...n%.......8...| +00000310 3d fe ed 26 24 12 49 b5 20 f1 a4 8a f1 66 31 32 |=..&$.I. ....f12| +00000320 32 67 e7 f7 d2 d1 c1 35 89 b8 1b 16 03 01 00 04 |2g.....5........| 00000330 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 04 8a 62 3c aa 95 29 54 97 8f 09 |....0..b<..)T...| -00000040 ce c4 e8 88 51 ca 29 48 5a fb c7 51 0c 2e 99 34 |....Q.)HZ..Q...4| -00000050 ac 3a 2e bb 46 39 d5 81 d3 32 6c ab 1c 2d 2b bd |.:..F9...2l..-+.| -00000060 9c 2e 66 c9 bb |..f..| +00000030 16 03 01 00 30 d7 2b c0 ae 0c c8 df 18 a7 d8 76 |....0.+........v| +00000040 08 9b 16 af 25 b9 6a 49 7c 4d c9 b8 26 6a 7c dc |....%.jI|M..&j|.| +00000050 81 a2 99 40 4b 20 dd 97 17 ae 1e 92 b1 ac fa e4 |...@K ..........| +00000060 7e 6d 07 c8 a8 |~m...| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 ca 62 0c 6c c6 |..........0.b.l.| -00000010 72 2b 39 66 fb 20 39 c9 a8 9f dd 87 62 68 83 ce |r+9f. 9.....bh..| -00000020 72 18 2e c8 3a 3b fa 15 6d 60 72 ec 6f 62 75 29 |r...:;..m`r.obu)| -00000030 22 b7 b7 c7 17 80 02 3b d2 b1 d4 |"......;...| +00000000 14 03 01 00 01 01 16 03 01 00 30 a4 ff be 54 ef |..........0...T.| +00000010 18 4c 1d 88 e1 3c 4f 53 f7 3e 8a 8f 44 5f dd 73 |.L.....D_.s| +00000020 6d e4 48 af b3 ee ad 5c d6 bd 0a 3f 3c df bc f2 |m.H....\...?<...| +00000030 12 a3 ab 1d e8 a1 e0 05 f6 4e 85 |.........N.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 23 5a bc 6e 6d c3 43 a5 ef 99 b3 |.... #Z.nm.C....| -00000010 95 ad 6a 8f 4a a1 00 82 62 c1 1e 4d c1 87 c9 fa |..j.J...b..M....| -00000020 dd 78 01 2d 25 17 03 01 00 20 fc cf 97 cd c1 7c |.x.-%.... .....|| -00000030 74 b5 98 4f ea 24 04 65 f9 8a 3b b5 d4 0f 13 de |t..O.$.e..;.....| -00000040 65 a6 21 ec 01 17 12 5a f6 3d 15 03 01 00 20 29 |e.!....Z.=.... )| -00000050 09 f5 d6 91 ea 58 1d c9 c6 95 93 f5 a6 4c 6d a3 |.....X.......Lm.| -00000060 81 06 a6 e8 47 86 4d ea a8 ed 3f 1a b1 22 63 |....G.M...?.."c| +00000000 17 03 01 00 20 8d cb eb ad 09 f9 0f d8 51 7b 68 |.... ........Q{h| +00000010 2a b1 d6 4a 7b 78 ab 5f d4 64 5b d6 c4 e6 22 db |*..J{x._.d[...".| +00000020 87 9c e4 f4 18 17 03 01 00 20 67 5f 10 c3 0a 2e |......... g_....| +00000030 3e d9 af 0d 8f 69 88 48 3d 03 95 57 d4 17 89 99 |>....i.H=..W....| +00000040 35 48 04 57 66 a1 18 69 41 dd 15 03 01 00 20 fd |5H.Wf..iA..... .| +00000050 b7 cd 7a f6 af 2b 88 2c 3a 89 aa a7 f2 35 c4 e4 |..z..+.,:....5..| +00000060 85 ec 16 48 1e 73 93 ce 2d a7 a1 5e 01 6b 58 |...H.s..-..^.kX| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES index ba05fdda05e..221700c2d16 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 fa 78 e5 13 cb |....Y...U...x...| -00000010 c8 b6 86 3f 61 10 6c 35 10 ef 83 87 15 b6 bb 30 |...?a.l5.......0| -00000020 c0 2c d1 eb e1 f5 36 01 e0 3d 05 20 bd 6c 5b fb |.,....6..=. .l[.| -00000030 ca e3 d6 71 d6 8d 2c 0e 33 e6 1c 21 0b f1 5d 04 |...q..,.3..!..].| -00000040 e7 87 a0 e5 93 b3 3b b9 94 9f 6e 4b c0 13 00 00 |......;...nK....| +00000000 16 03 01 00 59 02 00 00 55 03 01 0f 43 22 97 7b |....Y...U...C".{| +00000010 fd 4e 91 d2 2b 4a bf eb 60 34 dc 02 0b 8d cf 01 |.N..+J..`4......| +00000020 9a a3 89 e9 04 1b 9e 9b 73 6e ca 20 f4 bb 95 e2 |........sn. ....| +00000030 fe f9 01 68 21 99 dc 6a 3c f2 3b 42 22 f3 98 53 |...h!..j<.;B"..S| +00000040 99 41 fe df 0c 0f 76 6c 9f 12 84 c1 c0 13 00 00 |.A....vl........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 90 f3 14 1b df 53 e9 |........ .....S.| -000002d0 7d 09 ec 86 25 ec 97 fd 23 b2 48 ab dd ac 75 c1 |}...%...#.H...u.| -000002e0 ea 58 2c a2 8f 0e 1b a1 18 00 80 06 a9 f1 a5 ff |.X,.............| -000002f0 18 cf 3b d8 15 e8 12 08 c7 52 9c a3 fe 0d 5d d7 |..;......R....].| -00000300 45 50 56 5e 00 62 27 8d dc c5 cc 73 13 6d eb 33 |EPV^.b'....s.m.3| -00000310 b4 d1 d4 7e 8e 33 de 81 cc 6a 4c 8a 8d a3 d6 1b |...~.3...jL.....| -00000320 49 c2 17 a7 aa f3 98 0b 9b 03 cb 73 40 83 83 b7 |I..........s@...| -00000330 44 a7 72 60 04 0e b0 29 c7 96 f2 f5 94 c4 be bb |D.r`...)........| -00000340 4c 72 88 fe ee 3d 6c bb 86 1f 5a 01 1d e4 e6 66 |Lr...=l...Z....f| -00000350 69 73 6a 9e 8c 21 25 58 79 14 41 9d 1e 19 38 e0 |isj..!%Xy.A...8.| -00000360 bd d0 eb 80 56 b3 fb 17 9c c9 69 16 03 01 00 04 |....V.....i.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 96 f2 dd 5e dc 62 eb |........ ...^.b.| +000002d0 49 c6 93 9a 37 c4 a6 4b 30 34 e0 ee 38 99 01 50 |I...7..K04..8..P| +000002e0 96 20 f1 4d b3 81 b3 c1 7e 00 80 50 45 c7 82 9b |. .M....~..PE...| +000002f0 0c ae e1 33 34 da a7 81 d4 0c a3 71 56 84 bd cf |...34......qV...| +00000300 39 f7 ae 88 6e 96 f5 6e 50 4d ad 04 40 3f 40 2b |9...n..nPM..@?@+| +00000310 04 af 95 64 e1 9a c2 bf 9f 55 ca 5f 3e 95 68 27 |...d.....U._>.h'| +00000320 ef 1a 02 bb 2c c4 12 06 cf 57 b0 dc 98 ed e5 6f |....,....W.....o| +00000330 6d 5f f0 48 83 3c 9f 14 2b 42 2e cc a1 3e a3 83 |m_.H.<..+B...>..| +00000340 1f 4c d0 95 af 08 f9 8b c3 0a be 6d 52 2d d6 83 |.L.........mR-..| +00000350 d2 7e b5 b4 4b 2b 7b ff d4 67 7a 2e ca 19 24 07 |.~..K+{..gz...$.| +00000360 54 44 6a d9 d5 6e a0 00 38 7a 12 16 03 01 00 04 |TDj..n..8z......| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 d4 bf ac 02 80 da 37 55 c1 22 fe |....0......7U.".| -00000040 70 0e 53 5f 6f b2 03 c4 e6 01 2e 2c 9b 88 5e 2d |p.S_o......,..^-| -00000050 cc 84 76 71 73 7c db c5 84 89 c9 11 86 f7 2c 78 |..vqs|........,x| -00000060 01 a7 fe fe a2 |.....| +00000030 16 03 01 00 30 74 29 84 60 a9 b8 04 09 df fe 6c |....0t).`......l| +00000040 c9 28 46 72 8c 5d 31 8e 89 9b 3a a7 37 35 bf 7a |.(Fr.]1...:.75.z| +00000050 05 28 40 8f c2 ae fc 10 5b 42 a9 34 bb 32 90 de |.(@.....[B.4.2..| +00000060 11 48 0c 39 2a |.H.9*| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 a2 e0 c3 c9 27 |..........0....'| -00000010 ef ab 25 f2 24 3f 61 53 9d 98 a7 03 60 f6 22 6b |..%.$?aS....`."k| -00000020 70 60 37 14 fb e3 50 5e 11 89 f5 7f 00 15 e7 7b |p`7...P^.......{| -00000030 e4 32 77 f8 b4 d7 cf 10 da 1a 70 |.2w.......p| +00000000 14 03 01 00 01 01 16 03 01 00 30 93 75 c8 09 52 |..........0.u..R| +00000010 9f c7 37 30 6b 22 30 b2 c0 3e c8 71 ba 87 70 30 |..70k"0..>.q..p0| +00000020 ff 24 be c0 dc a6 7e 8b ff 82 4a 2b ff 6b 53 63 |.$....~...J+.kSc| +00000030 bc 9b 4b ba 20 56 22 58 41 af 73 |..K. V"XA.s| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 71 84 8e 9c fb 31 e5 5b 1b 1d 03 |.... q....1.[...| -00000010 28 80 87 22 2f 8b f5 6c a9 ff dc a3 b3 36 a8 c5 |(.."/..l.....6..| -00000020 1f 87 db 0a d7 17 03 01 00 20 b8 6f f9 a5 2c b4 |......... .o..,.| -00000030 f7 4a cb 76 9d ac 81 ec 15 71 6e ba 5f 34 f8 0a |.J.v.....qn._4..| -00000040 96 91 87 de 7c dd 7f ac 36 32 15 03 01 00 20 a7 |....|...62.... .| -00000050 83 fb 2b 44 13 3d a2 70 93 7a 05 8f d3 eb 4a 61 |..+D.=.p.z....Ja| -00000060 81 fc a1 14 3e e4 ce 30 79 21 35 3c 3e d0 fe |....>..0y!5<>..| +00000000 17 03 01 00 20 c9 4d 8c 62 5f 03 d0 fc 21 0d 39 |.... .M.b_...!.9| +00000010 24 91 16 50 47 e1 65 23 1e 54 89 22 2f de f3 28 |$..PG.e#.T."/..(| +00000020 66 cc f2 dc f1 17 03 01 00 20 d5 87 f0 52 2c d4 |f........ ...R,.| +00000030 bd 2a a5 53 92 05 73 5c 50 f4 37 ba d6 4d bb 97 |.*.S..s\P.7..M..| +00000040 94 67 a1 47 a1 2b f1 49 1f 93 15 03 01 00 20 69 |.g.G.+.I...... i| +00000050 0d 63 bf 8a be 1c 6a dc d6 76 52 88 2d 7e b0 e7 |.c....j..vR.-~..| +00000060 1b a8 4f 67 ad 2a 68 fa 87 4e f9 30 8f 66 cd |..Og.*h..N.0.f.| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial index 348cf2c2e3a..fa48da91711 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 f9 65 11 d7 b4 |....Y...U...e...| -00000010 75 e6 e3 c2 dc c8 25 74 0d 96 c6 e1 2f 23 a6 8a |u.....%t..../#..| -00000020 85 27 bc aa 7d 9d 3c ce 72 ce 31 20 08 13 74 85 |.'..}.<.r.1 ..t.| -00000030 4f ed 53 bb 13 b1 16 3d c1 4f 1d 8f 0f b6 79 54 |O.S....=.O....yT| -00000040 13 53 66 55 37 b5 bc 81 56 c2 83 06 c0 13 00 00 |.SfU7...V.......| +00000000 16 03 01 00 59 02 00 00 55 03 01 a5 bd a1 05 03 |....Y...U.......| +00000010 c0 42 a5 e7 96 e0 3d fb 64 74 b8 ba d9 51 7a b0 |.B....=.dt...Qz.| +00000020 d0 83 27 df c8 9f a8 19 b3 c2 4d 20 8e ad 11 d0 |..'.......M ....| +00000030 10 a3 49 e0 78 d3 b2 68 1c e0 3e 1c 51 0f 29 76 |..I.x..h..>.Q.)v| +00000040 8b d5 75 97 92 a8 eb b9 33 2c 19 33 c0 13 00 00 |..u.....3,.3....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 78 d1 bc b1 42 00 f2 |........ x...B..| -000002d0 53 60 aa 3c 95 bd 52 1f e1 ab 2e 5d f9 79 39 94 |S`.<..R....].y9.| -000002e0 9f 3d 66 27 ec 56 a1 bb 6a 00 80 34 54 75 55 62 |.=f'.V..j..4TuUb| -000002f0 0e 4f 8c a3 11 1a 1e 4c da e5 36 44 b7 9f d0 0e |.O.....L..6D....| -00000300 b6 31 8f ab 51 8f 2b 70 ee 6e 70 73 e3 54 23 f4 |.1..Q.+p.nps.T#.| -00000310 d1 f6 fa c0 52 62 69 98 7c 26 6c b8 98 46 d2 15 |....Rbi.|&l..F..| -00000320 aa a5 e2 6b d6 a2 0a 34 09 73 c1 68 76 06 a5 24 |...k...4.s.hv..$| -00000330 14 2a dd 9b ed 1b 66 aa 14 e0 06 fc 68 82 32 13 |.*....f.....h.2.| -00000340 93 fd a5 6f 2b 2d d9 b0 2a 71 50 d7 00 a4 68 58 |...o+-..*qP...hX| -00000350 f0 e2 c7 a1 88 74 b2 2e 75 6b 65 5f 28 75 55 26 |.....t..uke_(uU&| -00000360 a8 53 05 70 ce fd c1 61 b2 19 41 16 03 01 00 04 |.S.p...a..A.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 fa 56 80 7e 3d 82 a3 |........ .V.~=..| +000002d0 76 c6 ca b6 09 f8 92 96 6a 00 9b c9 2b eb 2f 29 |v.......j...+./)| +000002e0 ef 88 18 25 32 e1 71 5b 69 00 80 82 7b 82 f2 0d |...%2.q[i...{...| +000002f0 e5 4e 82 65 cc 82 d8 a4 b6 29 ef 30 c8 8a 67 2b |.N.e.....).0..g+| +00000300 a2 5c d9 96 00 bf 77 bb 42 39 04 e0 92 31 aa bb |.\....w.B9...1..| +00000310 da da a9 df 72 fa 29 f5 bc 53 11 fb e3 0e 03 82 |....r.)..S......| +00000320 6f 1a e0 a2 bf 71 7a 13 0e 18 da 9d 95 44 39 14 |o....qz......D9.| +00000330 df 13 d2 b5 38 71 ae 2f 1f e9 89 34 c3 8d 9f 90 |....8q./...4....| +00000340 75 9c ce b9 0e 7a 73 b7 f4 f0 5a bf c6 94 1e 1a |u....zs...Z.....| +00000350 d2 a9 a9 d5 8b c6 23 f4 ce 66 21 18 ef d6 20 98 |......#..f!... .| +00000360 25 31 3c f2 18 a7 c1 34 52 f7 92 16 03 01 00 04 |%1<....4R.......| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 8d 37 ef 55 a8 6d cc a5 1f fa 5e |....0.7.U.m....^| -00000040 f1 03 eb 86 0b bb e8 39 87 21 3a ae 9a 4c fb 85 |.......9.!:..L..| -00000050 38 92 bf 20 32 b0 c6 2f 2c 9e 02 b6 5f 13 fe a1 |8.. 2../,..._...| -00000060 0d 72 a1 30 1b |.r.0.| +00000030 16 03 01 00 30 8b ff 09 80 ff c8 88 67 d3 75 c0 |....0.......g.u.| +00000040 71 a7 7e cd 16 96 d2 1b d0 25 c9 b6 41 55 4c 8f |q.~......%..AUL.| +00000050 eb d6 96 d2 b5 ad 79 9b 52 21 f1 ec 86 cf 6f bf |......y.R!....o.| +00000060 7c b7 c0 a2 43 ||...C| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 34 0c 1d 0f 40 |..........04...@| -00000010 8c 53 fc 82 65 b5 84 23 69 53 89 47 72 f1 53 f7 |.S..e..#iS.Gr.S.| -00000020 1d 3d 03 51 95 c2 05 1b 7b c9 3d b1 84 18 35 be |.=.Q....{.=...5.| -00000030 36 f2 8c c7 20 9b c1 15 66 42 89 |6... ...fB.| +00000000 14 03 01 00 01 01 16 03 01 00 30 fd 22 fd de c9 |..........0."...| +00000010 6a 9c e0 80 91 fd 49 62 bb f6 44 d0 49 3f 8e ef |j.....Ib..D.I?..| +00000020 8d 0b 7c 95 91 f5 43 f4 e3 82 5a 87 19 c8 e9 c9 |..|...C...Z.....| +00000030 c9 85 17 11 42 e3 c3 a9 32 48 1a |....B...2H.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 27 c9 15 eb c9 56 4e 79 6c 5c cb |.... '....VNyl\.| -00000010 5e 0f 3d 73 91 59 d9 e2 f9 a1 eb cb d4 1a cd 3b |^.=s.Y.........;| -00000020 b0 d6 8b a5 0f 17 03 01 00 20 bc eb dd 61 28 16 |......... ...a(.| -00000030 ce ee ab fb 70 b6 3e c8 fa 2d 32 df 08 1d 74 6c |....p.>..-2...tl| -00000040 20 49 f3 9b ea 23 4e 01 72 e8 15 03 01 00 20 57 | I...#N.r..... W| -00000050 e8 09 b8 f0 8c 5b a4 fd 78 b8 29 3c 37 2b eb 74 |.....[..x.)<7+.t| -00000060 72 34 2a db e1 a2 5d 88 9b a6 64 a1 ce 2f 0e |r4*...]...d../.| +00000000 17 03 01 00 20 6d cd f6 5b 0b 97 70 7c 97 44 ac |.... m..[..p|.D.| +00000010 50 e8 05 6b 06 f3 ae af 36 53 59 d8 d0 32 4e 26 |P..k....6SY..2N&| +00000020 25 34 e9 c1 26 17 03 01 00 20 cc b6 be d4 19 e7 |%4..&.... ......| +00000030 46 c5 94 e1 16 46 0a 82 20 a4 80 a6 cb 49 ad e5 |F....F.. ....I..| +00000040 87 cc f9 82 da ba fd cf 9f f2 15 03 01 00 20 35 |.............. 5| +00000050 2b 9b 0a f4 4b fb e0 96 a0 35 35 6b ce 90 ff d0 |+...K....55k....| +00000060 c1 7c ce 96 49 1f 92 db 4b 04 e9 24 d9 7d e3 |.|..I...K..$.}.| diff --git a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 index d9e8839e329..4087aaaa03c 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 01 00 51 02 00 00 4d 03 01 c7 db 4d e0 3f |....Q...M....M.?| -00000010 87 21 40 28 05 eb fb 1c 4c c4 95 5f 2b b2 b0 e2 |.!@(....L.._+...| -00000020 9b 7e 02 1b b6 a7 96 a3 56 9a 4e 20 38 78 3d 01 |.~......V.N 8x=.| -00000030 59 26 86 4a 3f f4 fb 6c db c1 82 b8 f3 23 2c 54 |Y&.J?..l.....#,T| -00000040 01 22 10 0c c9 4b e3 3d b9 f5 16 1f 00 05 00 00 |."...K.=........| +00000000 16 03 01 00 51 02 00 00 4d 03 01 82 69 64 ad 8e |....Q...M...id..| +00000010 b5 87 de ee 60 0d 47 f6 c5 d8 7b 7f 16 db 66 2e |....`.G...{...f.| +00000020 ea 6a 29 d7 2a a5 61 c9 29 39 26 20 a6 23 c0 f7 |.j).*.a.)9& .#..| +00000030 4c b1 63 bd 6c 87 a7 e5 a0 13 9b 3c 59 02 5f 49 |L.c.l......>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 24 10 ea 40 62 a2 |..........$..@b.| -00000010 a7 64 15 15 9d fa 90 a4 f7 0b 57 9c 9f d4 1c 02 |.d........W.....| -00000020 5b 2a e1 d6 ab 1f e0 5c 01 10 2a 36 a3 97 cd |[*.....\..*6...| +00000000 14 03 01 00 01 01 16 03 01 00 24 23 80 30 c7 7d |..........$#.0.}| +00000010 02 81 1f 0c de a5 eb c1 7b a4 15 df 07 b9 4b 91 |........{.....K.| +00000020 6b 65 4a 44 8e b3 7f 4f cc 68 00 f0 45 ea d2 |keJD...O.h..E..| >>> Flow 5 (client to server) -00000000 17 03 01 00 1a fc 69 06 aa 26 2c 9f 72 b6 34 85 |......i..&,.r.4.| -00000010 62 d5 b6 32 66 54 6b 4c 63 4a 92 a8 e4 23 8e 15 |b..2fTkLcJ...#..| -00000020 03 01 00 16 b7 a0 df a9 ba 1a 86 23 9a b9 62 20 |...........#..b | -00000030 99 b5 76 f4 bd e0 13 6a f8 5a |..v....j.Z| +00000000 17 03 01 00 1a 52 24 73 f9 53 7e d9 4b df cf 8b |.....R$s.S~.K...| +00000010 1b d8 2b 18 83 d6 21 64 ec 93 47 c3 5c 51 c8 15 |..+...!d..G.\Q..| +00000020 03 01 00 16 37 11 f6 51 82 98 62 bb 3a f9 30 f7 |....7..Q..b.:.0.| +00000030 0d 47 5a 16 82 3d 63 33 0d 29 |.GZ..=c3.)| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES index 9fcb56f13a4..4a45033004b 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 2b 84 a6 4d 35 |....Y...U..+..M5| -00000010 e4 3e b9 59 6e c8 d6 de 15 38 52 fc 42 2b f6 a5 |.>.Yn....8R.B+..| -00000020 d5 8e 2f 55 20 fe ad 9f 76 ab 9d 20 d0 71 29 60 |../U ...v.. .q)`| -00000030 92 cc a7 75 65 82 07 4e 2b 8e ae 90 4f dd a1 73 |...ue..N+...O..s| -00000040 d6 e1 8b 52 08 8f 19 c8 45 4d 4e 63 c0 09 00 00 |...R....EMNc....| +00000000 16 03 02 00 59 02 00 00 55 03 02 53 39 37 4c 5f |....Y...U..S97L_| +00000010 86 cb 55 24 b2 e7 1b 33 62 19 a5 bf bc 58 f7 95 |..U$...3b....X..| +00000020 fc 6e da 58 0f 82 d7 59 0f 0e a0 20 fa bc 90 a8 |.n.X...Y... ....| +00000030 af da 01 75 9f c5 cd c2 24 ef 65 d2 87 50 c6 15 |...u....$.e..P..| +00000040 dc 9f c1 b1 fe 97 74 fa c0 0f 6d ce c0 09 00 00 |......t...m.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 02 00 b5 0c 00 00 b1 03 00 1d 20 8d 15 |*............ ..| -00000280 f7 10 24 67 b2 c7 9e 4f c3 b4 5f 56 5b e6 36 27 |..$g...O.._V[.6'| -00000290 72 12 eb cc 69 ae e5 8f 50 50 fc b2 64 58 00 8b |r...i...PP..dX..| -000002a0 30 81 88 02 42 00 92 11 84 0d fd f1 9a e2 91 98 |0...B...........| -000002b0 01 e7 de 8e 76 47 88 12 a1 97 fa 42 9d 71 c9 92 |....vG.....B.q..| -000002c0 56 9d 3a 0e 19 bf 52 a0 f1 bf 81 81 3c 35 74 f2 |V.:...R.....<5t.| -000002d0 29 4a 23 5b d8 a4 82 f1 fc 82 3d d6 3f ed 84 e7 |)J#[......=.?...| -000002e0 09 2f db 76 30 8b eb 02 42 01 1e 67 23 2e f9 89 |./.v0...B..g#...| -000002f0 43 37 df 64 97 ca a2 12 3b 7a 44 89 0e 8d 85 c7 |C7.d....;zD.....| -00000300 e2 4a 60 5d c0 6c 65 1e 1f 2e 23 52 58 e8 8d a4 |.J`].le...#RX...| -00000310 d0 4b 8c ba 65 85 54 4a f2 5b 6b b6 8c 97 27 61 |.K..e.TJ.[k...'a| -00000320 71 31 a2 2c fc 86 ea be 14 3d 64 16 03 02 00 04 |q1.,.....=d.....| -00000330 0e 00 00 00 |....| +00000270 2a 16 03 02 00 b4 0c 00 00 b0 03 00 1d 20 b3 7a |*............ .z| +00000280 3b 0e 5a 45 7e 23 8f f2 1c c9 45 60 5b 21 b8 b7 |;.ZE~#....E`[!..| +00000290 2e 8f 9f ea 88 ec a1 89 d3 53 dd 42 7f 60 00 8a |.........S.B.`..| +000002a0 30 81 87 02 41 4f 85 98 1c 42 c5 b9 06 70 96 a5 |0...AO...B...p..| +000002b0 d5 d7 03 c5 60 ff e4 f9 98 28 84 27 12 b9 6c d2 |....`....(.'..l.| +000002c0 d7 46 b3 1c 8b 22 37 ce ba 7f 29 9c 5a 1d 67 c7 |.F..."7...).Z.g.| +000002d0 5b 01 55 dd 64 98 dc 27 75 29 7f f1 b7 72 ab bc |[.U.d..'u)...r..| +000002e0 6d 4e b8 0d e7 aa 02 42 00 ac 1f ff e3 ac 29 1c |mN.....B......).| +000002f0 1b 3b d1 f3 12 17 70 73 e8 60 7a d7 8d 3c c3 fe |.;....ps.`z..<..| +00000300 3d 8c 0e 5d 3d ed 78 f1 8a f1 b4 5a 8d 50 59 22 |=..]=.x....Z.PY"| +00000310 38 7c e0 03 71 47 32 92 f5 14 95 0e 5b 5b 93 83 |8|..qG2.....[[..| +00000320 67 b2 75 2c 92 39 c3 6b b0 15 16 03 02 00 04 0e |g.u,.9.k........| +00000330 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 cc dd 94 0a 16 66 6d 9d 3f 07 c9 |..........fm.?..| -00000050 5f 80 5d 86 1d 56 34 d2 00 fc 01 f9 0c 08 b9 a2 |_.]..V4.........| -00000060 13 e9 43 4d 05 d3 c3 76 fb c8 8a 3e 53 12 fd c0 |..CM...v...>S...| -00000070 f5 b0 b5 b7 0b |.....| +00000040 00 00 00 00 00 70 dd 64 a5 e0 f5 f0 80 40 33 97 |.....p.d.....@3.| +00000050 14 fb bb fb 93 89 fa e9 74 06 67 dc 50 8b b3 01 |........t.g.P...| +00000060 57 d7 61 19 b3 84 fd 3c 3b e8 e7 da 8b 8a 2b c4 |W.a....<;.....+.| +00000070 e3 9e 59 83 b3 |..Y..| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 63 eb cd f7 a9 |..........@c....| -00000010 b1 4b e5 73 1c 8e 61 a8 55 9e 0f 32 3a 61 bb bd |.K.s..a.U..2:a..| -00000020 44 c5 0d e5 55 12 ba 3d ce 89 71 bf 23 5a fa e1 |D...U..=..q.#Z..| -00000030 9b 13 a6 54 9d 01 89 36 d9 e5 c9 bc 5b e7 10 85 |...T...6....[...| -00000040 c0 9d 3d 2e 89 39 ae 6b 95 98 ce |..=..9.k...| +00000000 14 03 02 00 01 01 16 03 02 00 40 cd 2e cf e5 a0 |..........@.....| +00000010 1c d7 a9 08 63 04 c2 d9 93 c1 99 f0 e1 16 ba b8 |....c...........| +00000020 ac 84 ae 80 7d 93 71 43 fc bd 79 48 0b 1c 61 e4 |....}.qC..yH..a.| +00000030 2d 12 af 5d c3 a5 b5 c1 8e 01 05 18 0c 0a 80 5c |-..]...........\| +00000040 fa 40 45 bc 5d 31 c0 f3 e5 fc c3 |.@E.]1.....| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 22 20 b4 87 ad e0 68 8d 3f 0c d0 |....." ....h.?..| -00000020 0d 9d be 63 96 6c d4 e5 cf aa 3e a5 b6 c9 77 1f |...c.l....>...w.| -00000030 53 3d aa c2 fb 15 03 02 00 30 00 00 00 00 00 00 |S=.......0......| -00000040 00 00 00 00 00 00 00 00 00 00 e2 c3 a3 56 53 9a |.............VS.| -00000050 45 db b5 6c 12 f5 a1 4e ed ab 30 f4 6b e5 2f 6a |E..l...N..0.k./j| -00000060 12 7d ed 27 41 e6 fc 77 0f bb |.}.'A..w..| +00000010 00 00 00 00 00 05 2f c2 e7 08 81 ba 68 5b 25 cf |....../.....h[%.| +00000020 c0 a0 39 61 aa ab 48 f0 90 e0 30 9b 2a b5 9e eb |..9a..H...0.*...| +00000030 7c 50 c7 a8 3c 15 03 02 00 30 00 00 00 00 00 00 ||P..<....0......| +00000040 00 00 00 00 00 00 00 00 00 00 f8 0f 8a 88 c3 b5 |................| +00000050 34 86 a0 00 5d 76 5a 35 d8 4e b0 1f 32 0b c7 a4 |4...]vZ5.N..2...| +00000060 1e ef a3 2f 12 f4 0b 88 ff 77 |.../.....w| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES index c16cd25ef62..e7d7a6e6262 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 e2 43 08 62 d6 |....Y...U...C.b.| -00000010 8e 6c 71 d4 03 56 cd 59 3f 23 10 b0 dc 09 57 63 |.lq..V.Y?#....Wc| -00000020 27 a3 39 ea 6b ff 4d 49 8d dd 50 20 e1 ed 1c 97 |'.9.k.MI..P ....| -00000030 1b b2 c2 01 6e 99 8a dd 61 93 9a 73 a8 46 a9 29 |....n...a..s.F.)| -00000040 ad 65 26 da 60 3f ed 6c 72 bd 2c c7 c0 13 00 00 |.e&.`?.lr.,.....| +00000000 16 03 02 00 59 02 00 00 55 03 02 59 cd 29 3b 12 |....Y...U..Y.);.| +00000010 81 2e bd 99 e3 df 03 df 2c f5 24 4a 18 c4 0b d6 |........,.$J....| +00000020 1f eb 0e cd 47 79 ab cd 96 97 44 20 69 12 07 f3 |....Gy....D i...| +00000030 70 79 68 10 c6 82 3e 66 e4 96 f7 36 73 f2 2d 23 |pyh...>f...6s.-#| +00000040 b6 ed b0 94 0a 5d 08 a2 8d 64 f8 c2 c0 13 00 00 |.....]...d......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 02 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 9a a4 b0 ac 5e 27 a9 |........ ....^'.| -000002d0 84 2e 66 9c 52 25 7d 21 6d 30 0a 24 7e 19 c7 6b |..f.R%}!m0.$~..k| -000002e0 c8 d9 ba b1 61 21 d0 7d 51 00 80 c5 6b b8 5c 58 |....a!.}Q...k.\X| -000002f0 41 f4 7c fd bf 28 6d 8c cc 68 c4 6c dd b5 fc 27 |A.|..(m..h.l...'| -00000300 2e 60 98 4c 43 fc d6 69 60 5f 19 f1 05 f9 1b be |.`.LC..i`_......| -00000310 48 a6 28 19 d6 7e 05 f8 90 51 b6 1b 0f 81 b4 e9 |H.(..~...Q......| -00000320 ef 2c 61 3f 44 fa ac fd 47 18 c3 b6 66 d9 10 e2 |.,a?D...G...f...| -00000330 2b 75 fc 12 34 ad fc 15 e1 e8 a9 2b c3 e9 fb ab |+u..4......+....| -00000340 52 29 15 14 0f c5 d0 00 4d 41 11 01 36 30 92 f9 |R)......MA..60..| -00000350 26 72 17 f4 da 90 f4 c7 5f 16 44 58 2b bf b5 fa |&r......_.DX+...| -00000360 54 29 c3 88 dd 66 5a 2a ed 71 b1 16 03 02 00 04 |T)...fZ*.q......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 01 c3 30 7c c2 32 09 |........ ..0|.2.| +000002d0 47 41 e7 93 bb 53 1f 42 1e 33 98 64 f1 58 7f 89 |GA...S.B.3.d.X..| +000002e0 e3 62 da 46 bb 17 85 89 66 00 80 02 04 fd e4 9c |.b.F....f.......| +000002f0 3a 29 5b 72 99 38 15 49 d1 ba 0f 70 3c 04 04 f8 |:)[r.8.I...p<...| +00000300 26 c2 63 fd 97 11 53 e2 c8 e8 78 e8 fa a7 d8 ad |&.c...S...x.....| +00000310 c5 72 3d 69 8b 62 46 74 13 fd d0 21 6b e7 bc 79 |.r=i.bFt...!k..y| +00000320 24 e5 3c 86 fe bb 83 d3 9c ab 67 5e 28 14 7b e6 |$.<.......g^(.{.| +00000330 1b 7e 09 34 0e 0c 48 97 82 89 6f f2 f9 ce 60 92 |.~.4..H...o...`.| +00000340 45 fc 1a 7f 06 c0 ad dd c0 02 13 f0 9e 89 b6 26 |E..............&| +00000350 1e 1e 4c 9b d3 0d b6 cc cd e7 c0 cb a2 f0 e8 bd |..L.............| +00000360 00 a1 65 88 79 66 bd bd a9 0e cb 16 03 02 00 04 |..e.yf..........| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 c8 e1 15 6a e9 67 43 24 88 f5 08 |........j.gC$...| -00000050 b7 fc 35 69 06 5a 44 25 75 7b eb 8a f5 fb f2 de |..5i.ZD%u{......| -00000060 63 36 14 a8 46 83 eb aa f6 e1 a5 a8 b4 1c ac 2e |c6..F...........| -00000070 ce 5c 3c 54 b1 |.\>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 ef f7 d8 df 4f |..........@....O| -00000010 f2 37 ed 65 b7 dc 06 a6 f5 5e 83 fb 8a 06 9b f1 |.7.e.....^......| -00000020 20 b0 32 fa e3 6e 9b 34 2b d1 76 72 5b 91 50 f2 | .2..n.4+.vr[.P.| -00000030 7b 9f 20 fe 03 71 4e 7f c4 2c 7b ce 50 17 0e 93 |{. ..qN..,{.P...| -00000040 72 21 2e f0 ac ae 94 21 01 73 0a |r!.....!.s.| +00000000 14 03 02 00 01 01 16 03 02 00 40 bd 06 5b 7a c1 |..........@..[z.| +00000010 81 9a 6f 45 69 df 11 1f 47 7d 55 75 8f 4b 3a 24 |..oEi...G}Uu.K:$| +00000020 0d 50 18 e4 2c 7e a2 42 7f b9 cb 19 d5 74 9d b1 |.P..,~.B.....t..| +00000030 de 0e 20 cb 96 5c 25 ab 39 5e 4a 37 c7 76 4d 70 |.. ..\%.9^J7.vMp| +00000040 33 85 88 af 0e a2 9b 35 6e 3f 85 |3......5n?.| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 a6 05 8e 2e 56 e4 17 57 a8 ab 8b |.........V..W...| -00000020 28 c2 8b e4 45 fd f7 7a be d3 70 9c 35 b1 fa 7b |(...E..z..p.5..{| -00000030 2e 6c 22 ea 17 15 03 02 00 30 00 00 00 00 00 00 |.l"......0......| -00000040 00 00 00 00 00 00 00 00 00 00 ea f3 63 f7 78 0f |............c.x.| -00000050 7b 6a 2e 6f 2c 3e 9a 9b a2 54 a8 85 27 f8 40 25 |{j.o,>...T..'.@%| -00000060 30 8d df 10 ac 0c d3 78 7f 71 |0......x.q| +00000010 00 00 00 00 00 79 30 a5 ba 38 7a 30 6b a9 63 69 |.....y0..8z0k.ci| +00000020 ae e4 6e 44 91 7f bf 8a bd 7c 06 e9 e9 e2 2e 32 |..nD.....|.....2| +00000030 82 7c 30 a5 1a 15 03 02 00 30 00 00 00 00 00 00 |.|0......0......| +00000040 00 00 00 00 00 00 00 00 00 00 ae 11 88 5d 71 56 |.............]qV| +00000050 94 55 41 46 f8 3f e3 4f 7d 4a 4d d6 32 2f 66 e8 |.UAF.?.O}JM.2/f.| +00000060 73 d7 af 3a 9d 15 c7 39 da ab |s..:...9..| diff --git a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 index f1e5a3b69d8..01d45feb691 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 02 00 51 02 00 00 4d 03 02 77 85 c6 83 39 |....Q...M..w...9| -00000010 1a 92 80 58 e6 3f 2e 3d a7 5e a6 aa 7f 71 dc 4a |...X.?.=.^...q.J| -00000020 d4 41 9c 3b 4e 3a 24 e7 d1 d6 2e 20 f3 b4 20 82 |.A.;N:$.... .. .| -00000030 70 01 46 66 39 76 a0 fa dc 75 5d 1c 9c a9 21 df |p.Ff9v...u]...!.| -00000040 39 fe 5f 66 ad 3e e4 45 6c 61 9d ec 00 05 00 00 |9._f.>.Ela......| +00000000 16 03 02 00 51 02 00 00 4d 03 02 82 9e 87 8c f7 |....Q...M.......| +00000010 04 dc 46 69 c2 2c 25 27 fe e9 c5 19 60 2e a8 1e |..Fi.,%'....`...| +00000020 96 9b 51 e7 67 37 34 2b c7 a0 ea 20 37 f1 01 a6 |..Q.g74+... 7...| +00000030 91 90 22 c7 19 fa 5b 73 f8 82 30 d5 2e d3 70 77 |.."...[s..0...pw| +00000040 b1 21 ab 13 ac 2e ee 70 1f 70 a6 03 00 05 00 00 |.!.....p.p......| 00000050 05 ff 01 00 01 00 16 03 02 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 02 00 01 |.Y(.....ia5.....| -00000090 01 16 03 02 00 24 53 6c 81 c5 58 15 92 1d c2 43 |.....$Sl..X....C| -000000a0 64 5a cc 47 00 c3 ac 93 e0 ce b0 12 ad c0 46 2b |dZ.G..........F+| -000000b0 d5 98 0a 62 83 b4 d5 47 7f f2 |...b...G..| +00000090 01 16 03 02 00 24 97 a4 5a 95 64 10 ce 10 6e 35 |.....$..Z.d...n5| +000000a0 d5 b6 98 7a eb 16 70 7f 2b a7 58 7b 6d a9 4c 74 |...z..p.+.X{m.Lt| +000000b0 39 b6 21 f8 c7 fb c0 69 3a 7b |9.!....i:{| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 24 45 82 0c 11 3e |..........$E...>| -00000010 79 39 fe 21 25 d7 13 72 c0 d2 93 3e 91 d3 14 f7 |y9.!%..r...>....| -00000020 24 ce 3c 36 a3 cf 2f 5e 39 7c 8d ea 31 a8 0c |$.<6../^9|..1..| +00000000 14 03 02 00 01 01 16 03 02 00 24 64 0e b1 4f 0b |..........$d..O.| +00000010 a4 00 7e 11 d4 16 15 1e d2 4e e3 60 e0 5b 49 e0 |..~......N.`.[I.| +00000020 1a f8 9f fd fe ac c5 3f 54 17 32 15 ea f6 89 |.......?T.2....| >>> Flow 5 (client to server) -00000000 17 03 02 00 1a 7a 45 07 af 78 ed 83 ed 4c 18 f2 |.....zE..x...L..| -00000010 ed d1 61 43 50 95 43 50 5f b1 a5 f3 61 4f 29 15 |..aCP.CP_...aO).| -00000020 03 02 00 16 c3 86 84 11 18 ab 6e 78 f8 cc 85 e1 |..........nx....| -00000030 12 98 ae 76 87 5a cf 57 0b 22 |...v.Z.W."| +00000000 17 03 02 00 1a 07 02 7e 0d c8 18 5a 5a c7 54 14 |.......~...ZZ.T.| +00000010 00 f3 4d f2 df 67 45 b2 85 57 94 ef 34 46 c8 15 |..M..gE..W..4F..| +00000020 03 02 00 16 c6 b7 e6 42 38 38 c6 87 17 33 0e 72 |.......B88...3.r| +00000030 72 23 77 8b 77 85 43 84 95 91 |r#w.w.C...| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 index 4897c7768b4..133ffd1701b 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 e7 80 a2 cb d5 |....Q...M.......| -00000010 49 88 5b 23 53 c7 ec 4a 53 55 5c 99 2b 34 7c 46 |I.[#S..JSU\.+4|F| -00000020 58 fa 12 e1 e6 eb 25 b4 d6 36 14 20 7e 20 cc 81 |X.....%..6. ~ ..| -00000030 2d 5d bd 2f 55 85 0e 90 68 db 4f f5 50 ed 5a ed |-]./U...h.O.P.Z.| -00000040 c1 1d 08 0c 3e ec 08 29 ab 05 93 84 00 9c 00 00 |....>..)........| +00000000 16 03 03 00 51 02 00 00 4d 03 03 cb 4c e4 db 6d |....Q...M...L..m| +00000010 8b ac 73 af 98 be f4 c4 e6 a9 78 3d 4b 1a b4 0c |..s.......x=K...| +00000020 4d 96 20 7c 0e a4 11 62 76 06 e6 20 d4 82 56 2a |M. |...bv.. ..V*| +00000030 f1 a9 08 dc 1a a7 c6 57 e7 13 e5 32 e1 54 04 97 |.......W...2.T..| +00000040 5d b5 65 dc 19 35 af 9f fc 1c 03 c4 00 9c 00 00 |].e..5..........| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 29 1c |.....(........).| -000000a0 41 c5 df 82 14 4e 9b 66 2f 56 35 5b ae b5 4d 09 |A....N.f/V5[..M.| -000000b0 5e df 1e cb 2a 9b 7c ac c7 25 50 ff 50 61 |^...*.|..%P.Pa| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 64 31 |.....(........d1| +000000a0 70 47 e6 60 ae ba 94 4e 4b ab 8a 54 c2 f9 57 24 |pG.`...NK..T..W$| +000000b0 29 92 8d ef 74 62 5b 10 4e 30 24 d9 19 14 |)...tb[.N0$...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 55 9a 0c 6f c0 |..........(U..o.| -00000010 64 da c8 37 d8 ec d5 b8 57 1d 50 9f 9c a6 9b cf |d..7....W.P.....| -00000020 b9 a5 9a 1b 90 25 71 20 54 56 a4 23 09 fa 0d 08 |.....%q TV.#....| -00000030 57 23 e8 |W#.| +00000000 14 03 03 00 01 01 16 03 03 00 28 0d f1 4e 5d 21 |..........(..N]!| +00000010 ea 12 ca ec 3f f3 1d 86 b4 44 7a 3b 0d 7e cf f4 |....?....Dz;.~..| +00000020 79 29 6a 16 7e b0 94 39 b9 bc ee 1e bd 03 9c 2b |y)j.~..9.......+| +00000030 75 d0 03 |u..| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 67 1b cc |.............g..| -00000010 67 44 5b 4d d8 38 3c 69 6e 40 24 4f be 8e 33 ec |gD[M.8>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 99 96 8e de bf |....Q...M.......| -00000010 cc 68 e0 34 27 7c 65 b2 a2 07 34 27 8d c9 17 60 |.h.4'|e...4'...`| -00000020 4c fa 56 16 4f fe df 8f a6 74 5a 20 00 61 d8 42 |L.V.O....tZ .a.B| -00000030 4f cd 56 cb cb d4 22 cb ac 45 55 6a e2 f4 25 c6 |O.V..."..EUj..%.| -00000040 5e 6d ee e7 9f eb 19 8f 79 da 8f d7 00 3c 00 00 |^m......y....<..| +00000000 16 03 03 00 51 02 00 00 4d 03 03 19 22 26 16 f4 |....Q...M..."&..| +00000010 cf ff b1 9d 46 ab 20 78 db 0a 85 f9 c2 3e 85 0f |....F. x.....>..| +00000020 94 32 4c 68 16 da 49 fc 5d ee e1 20 15 58 b2 d2 |.2Lh..I.].. .X..| +00000030 38 6e c1 78 3f 29 17 be ef 55 88 91 25 fa fa f9 |8n.x?)...U..%...| +00000040 6e 16 a3 89 87 be 60 a2 b7 0e 9d 5d 00 3c 00 00 |n.....`....].<..| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -72,25 +72,25 @@ 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| 00000090 01 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 |.....P..........| -000000a0 00 00 00 00 00 00 5e 43 0c 90 fe b7 a7 d6 eb de |......^C........| -000000b0 61 b4 eb 6e d9 fb 1c 5b 54 5b ae 10 5b de 27 02 |a..n...[T[..[.'.| -000000c0 2a 57 ee 1a 5e fb cc bb ad da ac 92 f1 0a 57 73 |*W..^.........Ws| -000000d0 dc 29 5f 16 e6 c4 cb f0 31 c5 20 d0 c0 28 19 32 |.)_.....1. ..(.2| -000000e0 5b e2 ac 64 2d eb |[..d-.| +000000a0 00 00 00 00 00 00 b7 25 38 ba da f3 69 4f 1d fc |.......%8...iO..| +000000b0 d9 2b de 80 9f 58 cf 8a 63 c7 c6 4d 2d a7 5f d9 |.+...X..c..M-._.| +000000c0 fe af c2 c5 31 05 e4 4c 84 da ed a2 4b f9 a8 d7 |....1..L....K...| +000000d0 27 b0 a2 2f 02 58 58 d2 a4 9e 1d 34 13 68 66 7a |'../.XX....4.hfz| +000000e0 25 d1 29 59 9f 42 |%.)Y.B| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 30 ff 30 c1 6d |..........P0.0.m| -00000010 8b 8b 73 31 d6 33 8c ce 18 a3 41 38 a0 2c ce f6 |..s1.3....A8.,..| -00000020 1d 53 52 66 33 59 6c c4 de 61 45 60 60 50 ff c8 |.SRf3Yl..aE``P..| -00000030 ad 26 92 d9 89 7a 12 f0 82 61 df c6 a8 cc ca a6 |.&...z...a......| -00000040 52 52 9f 24 b0 cb 1e 79 d0 12 e1 61 18 0c c8 bc |RR.$...y...a....| -00000050 f0 f1 54 86 c5 2a 8d 9c cb 8f fc |..T..*.....| +00000000 14 03 03 00 01 01 16 03 03 00 50 db 6d 94 66 09 |..........P.m.f.| +00000010 e5 13 a6 e6 c1 ee 7b fd 4b 08 9a 47 ba c8 65 1f |......{.K..G..e.| +00000020 64 d4 fa a1 be f0 46 9c 7b 01 3e e8 5c 5c 03 e4 |d.....F.{.>.\\..| +00000030 91 50 5a fd 5c 47 1d b2 07 69 4d 69 b0 fc ab 19 |.PZ.\G...iMi....| +00000040 b9 1c ee e5 85 dd 0e 53 c8 41 89 73 9f 0c 4e 09 |.......S.A.s..N.| +00000050 18 8b 36 30 41 a2 3c 47 f9 35 26 |..60A.>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 72 cc 50 8b 2f 17 86 fe 91 2e c5 |.....r.P./......| -00000020 18 5d f3 51 ea 4f 77 19 5b 11 3e 9a b6 3e 2c 6e |.].Q.Ow.[.>..>,n| -00000030 0b 67 6d 39 a4 31 0f 7c a5 de 3e bb 7d b7 29 88 |.gm9.1.|..>.}.).| -00000040 d2 9a 12 27 9e 15 03 03 00 40 00 00 00 00 00 00 |...'.....@......| -00000050 00 00 00 00 00 00 00 00 00 00 f6 44 f8 eb cf e0 |...........D....| -00000060 dd 07 ab aa 90 72 11 cb e6 3c d5 29 f6 4d 45 72 |.....r...<.).MEr| -00000070 e7 db a9 52 1b f2 ff fb 60 91 23 cc a5 1a 00 4f |...R....`.#....O| -00000080 57 3a a0 da e4 ee 3d 80 32 70 |W:....=.2p| +00000010 00 00 00 00 00 32 01 55 b8 d5 09 08 85 3e 6f 31 |.....2.U.....>o1| +00000020 28 2e b4 ba cc 1f 98 6d cf fd 09 39 5b 22 f4 1d |(......m...9["..| +00000030 55 76 b9 92 40 bf fb a3 29 34 7b 97 46 be 7c c6 |Uv..@...)4{.F.|.| +00000040 21 51 18 b8 ea 15 03 03 00 40 00 00 00 00 00 00 |!Q.......@......| +00000050 00 00 00 00 00 00 00 00 00 00 c1 66 a8 ac b8 ca |...........f....| +00000060 36 7a c8 e0 db 49 c4 38 57 e6 95 0e 8b a0 9b d9 |6z...I.8W.......| +00000070 bf c9 70 02 88 fe 6f 4d ff 52 c2 6b de 12 83 7a |..p...oM.R.k...z| +00000080 4e 5c e5 56 da b9 cc 69 6b 2a |N\.V...ik*| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 index 55620c5666b..064fe74407e 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 5c f4 45 2c cf |....Q...M..\.E,.| -00000010 06 c6 8e 9a 9c 69 e8 fd 33 fc e2 99 90 20 e0 70 |.....i..3.... .p| -00000020 ae 02 b5 8c df 14 a0 1e a9 96 55 20 be 34 76 5a |..........U .4vZ| -00000030 44 28 af 28 58 df 22 97 a2 5a ad d8 08 32 a0 ad |D(.(X."..Z...2..| -00000040 a1 32 68 9f c7 8a fa e6 84 e0 1c bc 00 9d 00 00 |.2h.............| +00000000 16 03 03 00 51 02 00 00 4d 03 03 13 c6 71 0e 1c |....Q...M....q..| +00000010 9d 6c b3 29 65 e4 e4 9c 4f b8 1a 4c 20 c0 ab 68 |.l.)e...O..L ..h| +00000020 02 d8 8e 64 47 81 de 49 aa 9a e1 20 d4 62 7f fb |...dG..I... .b..| +00000030 35 44 ea 34 c7 11 67 02 0e 29 c5 e7 ce e1 dd 9a |5D.4..g..)......| +00000040 30 4d 1f 3c 33 4c a8 e4 1d 9e 46 1d 00 9d 00 00 |0M.<3L....F.....| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 21 98 |.....(........!.| -000000a0 7e 90 9a 58 ef 28 21 eb 08 a3 29 b3 77 06 3e 90 |~..X.(!...).w.>.| -000000b0 c1 d2 02 32 91 93 b1 8f 65 5f 66 0d 74 16 |...2....e_f.t.| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 93 54 |.....(.........T| +000000a0 1c 43 c5 3a af 00 ca 57 bf c3 e7 23 d9 3d aa 65 |.C.:...W...#.=.e| +000000b0 a2 03 6f 11 e8 f0 83 75 1d bf 18 5e de e9 |..o....u...^..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 a7 20 23 2c 7c |..........(. #,|| -00000010 6e a6 da c6 ec 91 f7 b4 1b 22 00 bf 07 53 1d d0 |n........"...S..| -00000020 e0 c5 af 4b 12 e3 7a 61 19 be 6c f0 be 9c 06 d4 |...K..za..l.....| -00000030 3e 09 e6 |>..| +00000000 14 03 03 00 01 01 16 03 03 00 28 85 12 50 c7 bf |..........(..P..| +00000010 bd 45 08 23 4d 19 0d 23 ec dc 0f c3 4a ab ce ca |.E.#M..#....J...| +00000020 ed 92 6e 9c 98 04 03 34 6a 9b 40 c8 32 7b ad 45 |..n....4j.@.2{.E| +00000030 eb 6c c8 |.l.| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 02 bd 49 |...............I| -00000010 04 49 94 df e6 c0 6f 67 3c 94 82 85 d2 d6 0d 75 |.I....og<......u| -00000020 66 b6 c6 15 03 03 00 1a 00 00 00 00 00 00 00 02 |f...............| -00000030 42 9d 45 29 22 17 9d c4 53 23 37 cf 38 53 84 d0 |B.E)"...S#7.8S..| -00000040 a9 5d |.]| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 7d 2f 22 |.............}/"| +00000010 84 f3 1e c7 67 91 3c 2a ad b2 7f e0 43 57 6a e5 |....g.<*....CWj.| +00000020 48 34 3b 15 03 03 00 1a 00 00 00 00 00 00 00 02 |H4;.............| +00000030 e3 14 88 cb d7 4d fc f9 22 c5 35 57 3f 01 06 ee |.....M..".5W?...| +00000040 51 37 |Q7| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ALPN b/src/crypto/tls/testdata/Client-TLSv12-ALPN index 341c4889947..62547e8d982 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv12-ALPN @@ -18,11 +18,11 @@ 00000100 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| 00000110 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 66 02 00 00 62 03 03 d6 0d 8b 2c c0 |....f...b.....,.| -00000010 44 ef c9 61 89 4e d5 f0 ab 20 e2 da 10 55 49 c9 |D..a.N... ...UI.| -00000020 5d 84 17 95 05 48 68 bf b5 fa df 20 20 da f7 7c |]....Hh.... ..|| -00000030 26 5e 93 a1 c1 94 d0 23 08 58 3a 6a 5c 1d db c1 |&^.....#.X:j\...| -00000040 26 10 ec 62 34 ae 41 b1 b8 35 be 82 cc a8 00 00 |&..b4.A..5......| +00000000 16 03 03 00 66 02 00 00 62 03 03 03 63 43 e2 aa |....f...b...cC..| +00000010 e5 ae 32 e1 99 ae 4e dc 37 e3 85 33 8f f6 f3 71 |..2...N.7..3...q| +00000020 e2 a4 31 5a e4 15 3d 46 1e a7 65 20 76 47 6a ba |..1Z..=F..e vGj.| +00000030 9e 18 7b 5c b9 e9 47 24 dc 7f 73 83 b6 c8 07 5a |..{\..G$..s....Z| +00000040 40 c0 2e 46 79 aa 62 47 98 9d 88 b6 cc a8 00 00 |@..Fy.bG........| 00000050 1a ff 01 00 01 00 00 0b 00 04 03 00 01 02 00 10 |................| 00000060 00 09 00 07 06 70 72 6f 74 6f 31 16 03 03 02 59 |.....proto1....Y| 00000070 0b 00 02 55 00 02 52 00 02 4f 30 82 02 4b 30 82 |...U..R..O0..K0.| @@ -63,31 +63,31 @@ 000002a0 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d ae db 46 |.....@.a.Lr+...F| 000002b0 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db fe 3d 13 |..M...>...B...=.| 000002c0 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -000002d0 00 a8 03 00 1d 20 47 e2 87 15 b7 72 e1 10 57 ad |..... G....r..W.| -000002e0 d1 ba 72 9a 09 30 18 75 c4 68 c7 cc 6f 3e d0 3c |..r..0.u.h..o>.<| -000002f0 22 ec fc 35 5a 0f 08 04 00 80 94 45 0b 63 8e b9 |"..5Z......E.c..| -00000300 87 ac 67 8d e9 ed fb 74 0c 04 24 28 d2 36 78 85 |..g....t..$(.6x.| -00000310 fc 8a c6 33 4a 70 fa 04 aa 66 71 10 ab ae aa ad |...3Jp...fq.....| -00000320 dc e8 2a 9e 8f fc 09 4d 79 0b 84 d7 5d 1c 9e dc |..*....My...]...| -00000330 9c e6 dc ad 8b b2 68 5b f8 01 fb 28 33 65 94 19 |......h[...(3e..| -00000340 18 d1 24 2f 32 dc 7c c6 a1 ac 4f 51 5a cb cf 0e |..$/2.|...OQZ...| -00000350 a1 80 3d 16 2a f9 2c de 1f 6c 51 d3 83 d5 ff 70 |..=.*.,..lQ....p| -00000360 24 6d 67 79 76 3c bb c3 76 8b 57 bb c7 a7 4b db |$mgyv<..v.W...K.| -00000370 07 da 4c 32 20 15 c8 33 73 bb 16 03 03 00 04 0e |..L2 ..3s.......| +000002d0 00 a8 03 00 1d 20 d5 64 87 69 60 d4 6c 1d f4 7f |..... .d.i`.l...| +000002e0 a7 ac a2 02 a5 d3 c6 71 f0 f2 e9 78 71 e9 f8 66 |.......q...xq..f| +000002f0 01 65 1a 3e 0d 16 08 04 00 80 60 b9 62 12 e0 22 |.e.>......`.b.."| +00000300 c8 8e 93 4f 0b 1f 3b 0b 23 9a a5 d7 a9 18 ef 30 |...O..;.#......0| +00000310 e9 e4 17 a6 30 69 20 44 f0 20 2f 41 b2 cd 22 b8 |....0i D. /A..".| +00000320 71 a4 bd b9 df 88 e3 c4 93 66 86 bc bd 98 76 6c |q........f....vl| +00000330 c5 11 6e f3 dd 53 e4 0c 27 2b 6f fd 6f 6a 75 81 |..n..S..'+o.oju.| +00000340 8a 55 55 a5 ea 8c a7 c1 07 bb 8d 2e e9 1d e3 9e |.UU.............| +00000350 df d2 91 cf 86 45 31 af 18 2e fd 83 8c 40 79 31 |.....E1......@y1| +00000360 07 4c c2 75 5a 3d 73 2d 25 70 32 ee 10 ce 53 df |.L.uZ=s-%p2...S.| +00000370 61 20 d0 a4 81 a2 b0 e9 0d cd 16 03 03 00 04 0e |a ..............| 00000380 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 69 ef fc 38 05 07 0b aa bd ea 80 |.... i..8.......| -00000040 d7 81 ca 76 a5 da 96 74 83 ce 15 74 81 74 6e c9 |...v...t...t.tn.| -00000050 38 52 a6 af ea |8R...| +00000030 16 03 03 00 20 c5 8a 8f fc 12 ff 7c 65 d3 7f 6f |.... ......|e..o| +00000040 dc 7a fd b0 48 91 f1 f6 aa 3f 54 33 e1 e7 0c 01 |.z..H....?T3....| +00000050 37 56 01 b8 e1 |7V...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 fe 27 ef e1 5e |.......... .'..^| -00000010 06 5b a1 a1 a0 ce 35 0f a9 7c 8c 77 07 6c 92 83 |.[....5..|.w.l..| -00000020 0b 17 fb 6e 16 0f 21 19 3f e3 15 |...n..!.?..| +00000000 14 03 03 00 01 01 16 03 03 00 20 85 65 54 76 d2 |.......... .eTv.| +00000010 34 44 f3 81 5f c4 c7 57 1a 7a 36 52 14 48 19 ff |4D.._..W.z6R.H..| +00000020 ed 2d c0 5c a8 a6 5e 45 fd 86 e0 |.-.\..^E...| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 60 22 c0 7b f0 25 a5 6b 75 bd d2 |.....`".{.%.ku..| -00000010 ab c6 08 70 cb 74 5a 98 c8 24 23 15 03 03 00 12 |...p.tZ..$#.....| -00000020 7f 6b d1 ec a5 6f 4b dd 0b 0c 5b 85 a7 98 26 94 |.k...oK...[...&.| -00000030 ad 9e |..| +00000000 17 03 03 00 16 7f 64 e6 29 60 b1 a8 7c e3 c5 11 |......d.)`..|...| +00000010 09 71 03 d7 f6 a6 2a 5f 13 c7 b6 15 03 03 00 12 |.q....*_........| +00000020 ae 94 4e 53 d4 48 e0 d0 66 57 8c 0d da 5b df c9 |..NS.H..fW...[..| +00000030 34 80 |4.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA index 292eb9e2b55..b3388a23505 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 af d9 14 ad af |....Y...U.......| -00000010 63 f5 ff 2b 1c e7 3e 32 47 38 32 32 79 9e 09 41 |c..+..>2G822y..A| -00000020 70 9b 20 ae 80 a7 be 0f a9 b2 25 20 ed 26 d3 9d |p. .......% .&..| -00000030 c7 a9 21 6c 67 69 f4 cb 1d 06 4f 84 d2 be 48 11 |..!lgi....O...H.| -00000040 bf 6a 64 84 63 ec c4 29 ff f6 aa 87 c0 09 00 00 |.jd.c..)........| +00000000 16 03 03 00 59 02 00 00 55 03 03 57 a3 3a d0 97 |....Y...U..W.:..| +00000010 73 13 b1 83 3a 7b 4c 62 1d fe 0e aa bd ef 05 7c |s...:{Lb.......|| +00000020 34 71 f9 e3 6c b1 50 a5 f7 ed a3 20 08 87 7f 65 |4q..l.P.... ...e| +00000030 b8 c3 f5 23 7c a9 a2 82 c4 0c d1 0d 82 39 24 db |...#|........9$.| +00000040 d6 8e 5a f3 00 29 09 d4 96 58 1e 9d c0 09 00 00 |..Z..)...X......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 dd f3 |*............ ..| -00000280 7a f5 36 e0 f5 61 f4 3a 0a f9 cf 47 6f 10 34 93 |z.6..a.:...Go.4.| -00000290 5b 74 e1 e5 66 bf 77 53 85 e0 c7 25 dc 0b 04 03 |[t..f.wS...%....| -000002a0 00 8b 30 81 88 02 42 01 fa 37 7d ac 5b d6 9a a8 |..0...B..7}.[...| -000002b0 78 fb 0d 44 04 04 63 4b 33 48 c7 d8 cd 39 76 a3 |x..D..cK3H...9v.| -000002c0 1f dd 98 c0 80 74 27 ef da 66 b4 71 6b b0 43 13 |.....t'..f.qk.C.| -000002d0 10 ac 03 a4 db 84 2a 75 bb 30 3a 45 7c 61 a6 e9 |......*u.0:E|a..| -000002e0 ed 10 9e ec 69 2e 51 54 d3 02 42 01 b3 93 f7 13 |....i.QT..B.....| -000002f0 69 c7 3f 80 76 13 8d 00 a8 7a 1b ea aa 43 f5 00 |i.?.v....z...C..| -00000300 5d 4a 4b 66 f5 cf ac f3 f0 b8 6c f5 73 52 aa 5a |]JKf......l.sR.Z| -00000310 e6 f6 f2 7d 7a 8b 9a ae 80 68 e5 50 da 4b b4 7a |...}z....h.P.K.z| -00000320 d5 18 72 b2 a5 3e 10 ae 9a 91 02 35 99 16 03 03 |..r..>.....5....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 f5 cf |*............ ..| +00000280 8d 59 c0 98 8d 7e 9d 4e 9e f7 23 15 6e 13 e0 29 |.Y...~.N..#.n..)| +00000290 6f 05 53 8f e8 22 63 4c 82 8c 21 f4 f0 3a 04 03 |o.S.."cL..!..:..| +000002a0 00 8b 30 81 88 02 42 01 48 65 c2 fc 10 5c b0 3f |..0...B.He...\.?| +000002b0 62 97 2a b6 af c7 16 4f e9 62 97 c6 34 8f 99 a2 |b.*....O.b..4...| +000002c0 ab 3d 94 d0 46 55 38 20 71 a8 50 15 77 14 67 e3 |.=..FU8 q.P.w.g.| +000002d0 2a b4 7f f9 b1 63 59 84 cf c4 d2 73 fa bc 6a da |*....cY....s..j.| +000002e0 94 1c 0c a9 5f 8c 8b c9 8e 02 42 01 09 5a 88 05 |...._.....B..Z..| +000002f0 3a 5e 75 17 38 5b 78 59 56 53 68 bc 17 5c 60 27 |:^u.8[xYVSh..\`'| +00000300 8b 2b 04 ab 76 48 7d 96 87 0b d1 9e 46 7a 49 2b |.+..vH}.....FzI+| +00000310 f9 b8 b5 17 ee c6 83 9b b4 06 4a f0 6f ac eb 33 |..........J.o..3| +00000320 db dc 15 cd 32 e7 eb b5 9a e3 ae dc 3b 16 03 03 |....2.......;...| 00000330 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000340 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000350 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -109,32 +109,32 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 93 0f 00 |...._X.;t.......| -00000240 00 8f 04 03 00 8b 30 81 88 02 42 01 b0 cb 3f e8 |......0...B...?.| -00000250 be 39 63 bc 61 d8 0b f5 80 dd e9 c9 12 5d 4f ed |.9c.a........]O.| -00000260 a6 b2 e1 3e 61 64 73 45 30 91 9e 1b 02 8e 76 25 |...>adsE0.....v%| -00000270 e6 a8 7b 44 ea 20 f1 5c 23 b7 d5 f2 ff 2a 99 3a |..{D. .\#....*.:| -00000280 4b ae 20 28 1c 4a d2 31 85 2f ee 54 12 02 42 00 |K. (.J.1./.T..B.| -00000290 a2 00 21 61 1c 84 7a 52 91 8c ab 08 24 69 f7 2a |..!a..zR....$i.*| -000002a0 68 aa 5e d6 5e 59 54 04 ee 18 09 9b 7d ee a4 c8 |h.^.^YT.....}...| -000002b0 4f af 21 b3 c5 74 04 c1 02 46 b1 04 6b 73 68 5e |O.!..t...F..ksh^| -000002c0 1a 11 dd b2 35 70 de 9c 02 0a 81 aa aa e8 8f b9 |....5p..........| -000002d0 2b 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 |+..........@....| -000002e0 00 00 00 00 00 00 00 00 00 00 00 00 e7 e1 71 39 |..............q9| -000002f0 0b 11 39 dd c1 85 4c a5 35 df c7 6b 2e 35 c3 0a |..9...L.5..k.5..| -00000300 6f 97 83 35 ed db 70 25 50 a0 19 9f 89 9c 7a e9 |o..5..p%P.....z.| -00000310 57 7b d9 03 fa 8b de d0 32 57 ac 50 |W{......2W.P| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 92 0f 00 |...._X.;t.......| +00000240 00 8e 04 03 00 8a 30 81 87 02 41 7e 1a 78 8d 66 |......0...A~.x.f| +00000250 ed 42 75 83 c7 73 bc c2 50 5e 96 03 27 8e 17 b6 |.Bu..s..P^..'...| +00000260 35 7e d9 f1 99 de d8 73 45 bb 95 56 e0 7f ba 57 |5~.....sE..V...W| +00000270 93 bf fd 8c eb 63 e6 0c d9 53 cb 45 58 70 00 23 |.....c...S.EXp.#| +00000280 68 0c b1 4d ad 92 ef 82 68 13 f7 f9 02 42 01 f2 |h..M....h....B..| +00000290 53 f1 46 68 f3 46 6b 86 44 62 c2 85 bc 21 fe a7 |S.Fh.Fk.Db...!..| +000002a0 fe 1d ef ea 9b 9f 86 d0 35 ed 5c 8b 01 80 46 69 |........5.\...Fi| +000002b0 91 b3 68 2c 0a 53 8d d0 35 5e b1 07 ba 65 75 fb |..h,.S..5^...eu.| +000002c0 25 8f f9 33 3b 5b 0a 6e 66 e7 2e b7 48 73 a0 23 |%..3;[.nf...Hs.#| +000002d0 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| +000002e0 00 00 00 00 00 00 00 00 00 00 00 64 0b 2b c4 72 |...........d.+.r| +000002f0 01 36 0c 78 1f bc 60 23 64 c7 1e e4 83 c3 e3 02 |.6.x..`#d.......| +00000300 1a 95 26 ba b4 0d f2 8d 87 0d 94 37 6f 59 92 9d |..&........7oY..| +00000310 ab 57 07 83 54 c7 5f 27 43 e6 a5 |.W..T._'C..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 2a 96 4c 57 e3 |..........@*.LW.| -00000010 98 e2 dd c6 e8 3d 67 b7 1f 2d e5 23 e4 f9 35 b9 |.....=g..-.#..5.| -00000020 bd 13 b3 6b 12 bb 2b 9b 39 00 54 da dc c0 71 2b |...k..+.9.T...q+| -00000030 fb 25 af a4 6e 14 f2 57 0a 64 cb 21 bf 2c 59 1e |.%..n..W.d.!.,Y.| -00000040 28 80 5f 0a 3f 29 a7 bc 66 40 33 |(._.?)..f@3| +00000000 14 03 03 00 01 01 16 03 03 00 40 a3 e4 45 86 47 |..........@..E.G| +00000010 fd 31 3f ad 2b 49 41 3a fe 5c 90 cc ff fc d2 e4 |.1?.+IA:.\......| +00000020 16 44 29 2f 44 2d 4a 80 6c 8e a4 1d 56 3e 2d a8 |.D)/D-J.l...V>-.| +00000030 89 e1 29 a3 c6 e3 37 09 26 52 56 d1 d3 46 9b d1 |..)...7.&RV..F..| +00000040 21 fb 89 6a b2 79 83 ab c6 71 db |!..j.y...q.| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 95 82 5d 8a 05 ff 43 5d 68 df 23 |.......]...C]h.#| -00000020 3a 38 ff 9f c4 6c 96 47 29 2c 73 6c 89 0c f5 d7 |:8...l.G),sl....| -00000030 41 7d 60 b4 bd 15 03 03 00 30 00 00 00 00 00 00 |A}`......0......| -00000040 00 00 00 00 00 00 00 00 00 00 ea b8 9d 6f 0a 0c |.............o..| -00000050 05 c4 aa fc 60 c6 f0 36 a3 3b 38 4b 63 f1 4d 97 |....`..6.;8Kc.M.| -00000060 c2 3c a2 d7 a8 05 26 1a b0 e9 |.<....&...| +00000010 00 00 00 00 00 85 f5 9d 85 25 8c 9c c3 78 35 5b |.........%...x5[| +00000020 67 f7 1e 3c d9 4c 62 c6 ff c9 da 1f 33 bb de 96 |g..<.Lb.....3...| +00000030 5f 78 e2 e1 87 15 03 03 00 30 00 00 00 00 00 00 |_x.......0......| +00000040 00 00 00 00 00 00 00 00 00 00 a7 12 dd c9 9e 57 |...............W| +00000050 e1 46 ef c8 a3 4e 8a 81 28 44 37 bb 9d db 51 57 |.F...N..(D7...QW| +00000060 75 96 31 d7 4e 9f ac 6b 0f 04 |u.1.N..k..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA index 226885e5b18..471ccc8df73 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 05 d3 f7 24 78 |....Y...U.....$x| -00000010 ce ed 42 3c cb 8f 73 73 9b 09 8e d2 8f 37 67 47 |..B<..ss.....7gG| -00000020 53 5a ff a7 1f 43 64 26 fb 3e 85 20 b0 a1 21 57 |SZ...Cd&.>. ..!W| -00000030 b4 a8 55 5c 34 bc 34 92 89 21 0f 69 ca 8e f9 ba |..U\4.4..!.i....| -00000040 f0 bf ef bd 81 7b 66 bc a2 44 b6 f1 c0 2f 00 00 |.....{f..D.../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 fc 38 6e 6d 60 |....Y...U...8nm`| +00000010 6c d1 e4 63 41 85 b2 7e a8 20 8a 77 77 b7 ce f1 |l..cA..~. .ww...| +00000020 88 c5 8c d3 bf fc 59 fc 7d f1 81 20 1b 5b b0 22 |......Y.}.. .[."| +00000030 53 7a 4a 4d 2e b9 b0 11 63 0b cc c6 4f 50 9a 8a |SzJM....c...OP..| +00000040 06 e5 82 f4 a5 a5 7d 6d 9e 3d b1 0b c0 2f 00 00 |......}m.=.../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 87 51 fa 0b c6 fc 66 |........ .Q....f| -000002d0 c0 5f 7f fe e8 07 5f d4 17 80 b7 05 f8 26 45 11 |._...._......&E.| -000002e0 bc e8 f3 55 4c 53 f4 fc 19 08 04 00 80 24 54 31 |...ULS.......$T1| -000002f0 6e 40 ad 92 48 2b 76 7d 2c 4f b0 e8 d6 56 5d e2 |n@..H+v},O...V].| -00000300 48 00 09 34 ee 13 dd 5c 22 19 19 a1 d8 bb a6 aa |H..4...\".......| -00000310 25 5e a4 e5 96 5f 1c d7 67 cd 48 01 f0 19 96 e0 |%^..._..g.H.....| -00000320 c0 0f fd e8 3f 33 5b 92 60 cd a6 c3 da 55 73 f3 |....?3[.`....Us.| -00000330 1e ba bc aa 45 78 bf b9 6f c0 0e 50 b9 fe 38 23 |....Ex..o..P..8#| -00000340 8e 36 70 77 f0 37 e7 94 70 74 15 10 39 d2 32 96 |.6pw.7..pt..9.2.| -00000350 cb de 26 ae b7 f0 de 30 71 ee 3d af a8 31 aa e6 |..&....0q.=..1..| -00000360 4a 35 aa 44 03 1b 7a 5e 34 84 f4 e2 c5 16 03 03 |J5.D..z^4.......| +000002c0 ac 0c 00 00 a8 03 00 1d 20 1b b4 4e e7 78 bf 86 |........ ..N.x..| +000002d0 d9 79 02 59 1d 6d 7d e2 84 9b 15 ef b6 da 36 f6 |.y.Y.m}.......6.| +000002e0 52 0c fa 49 b2 bd b8 4f 57 08 04 00 80 d1 1d 5c |R..I...OW......\| +000002f0 9a 32 10 25 e1 19 5b 78 d3 d4 17 60 21 85 45 8d |.2.%..[x...`!.E.| +00000300 73 b1 cd e4 e3 b5 b8 61 90 41 fe a3 f3 90 82 1a |s......a.A......| +00000310 12 ee ef 30 00 da f8 17 26 8e 6c ca 61 a9 9f 06 |...0....&.l.a...| +00000320 6d 01 7e a8 ba 5a 3c 71 2d 29 5d 79 67 53 e6 59 |m.~..Z..7L....pF.u.P| -00000300 8e 2d 44 |.-D| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 93 0f 00 |...._X.;t.......| +00000240 00 8f 04 03 00 8b 30 81 88 02 42 01 62 8c aa 1c |......0...B.b...| +00000250 23 f2 57 2c 6d 2e 24 f8 13 e8 c1 07 4a f9 3b 49 |#.W,m.$.....J.;I| +00000260 02 9e 6c 31 dd c3 a4 5a 8b 2b 73 8d b7 42 1e aa |..l1...Z.+s..B..| +00000270 96 4a 52 84 b6 0c ac 59 e1 ad 1a 3e 3b f8 c7 5a |.JR....Y...>;..Z| +00000280 9d 03 c9 bd 48 be 1a 92 17 75 34 a4 d8 02 42 01 |....H....u4...B.| +00000290 c0 d8 a8 15 f0 e6 90 86 77 76 f3 36 ec 2d e9 ca |........wv.6.-..| +000002a0 43 0c 8b 28 9f 74 b5 42 8a c8 57 6e 22 bc 66 77 |C..(.t.B..Wn".fw| +000002b0 7a cd 17 c6 97 91 9f 04 12 38 39 db dc 06 05 b8 |z........89.....| +000002c0 5e 82 cf 52 b2 9b 3e 74 ea 01 0b 61 27 20 ec 64 |^..R..>t...a' .d| +000002d0 94 14 03 03 00 01 01 16 03 03 00 28 00 00 00 00 |...........(....| +000002e0 00 00 00 00 94 1b f1 02 db 2a e7 76 d0 3e 0d 2f |.........*.v.>./| +000002f0 b9 d1 e7 28 48 b8 85 89 0b 11 8b 1c be 06 2c 68 |...(H.........,h| +00000300 e5 93 1d cd |....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 90 2c 3a 5e 6f |..........(.,:^o| -00000010 11 1b f0 30 b1 22 ad 9b 27 54 9a 93 79 d4 c7 c9 |...0."..'T..y...| -00000020 ea 46 7d 94 34 70 c2 15 53 40 cd 86 e6 76 af bc |.F}.4p..S@...v..| -00000030 c8 c7 8c |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 5e d2 c7 60 0c |..........(^..`.| +00000010 03 e9 46 22 86 85 05 0e 23 c4 1d 1a 56 05 dc a6 |..F"....#...V...| +00000020 59 e7 a5 e8 da 5d 67 31 a9 5b 95 74 51 57 fc c7 |Y....]g1.[.tQW..| +00000030 db 67 d7 |.g.| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 55 8d 3d |.............U.=| -00000010 03 0c 61 b6 67 03 5d 8f 2c 80 4d e8 a3 7f d6 1b |..a.g.].,.M.....| -00000020 7a ff 4c 15 03 03 00 1a 00 00 00 00 00 00 00 02 |z.L.............| -00000030 49 1c 20 4e 9f 6d d9 e8 3c 74 27 91 97 d2 04 94 |I. N.m..>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 d5 c7 89 36 6d |....Y...U.....6m| -00000010 a0 f3 02 38 a6 68 df 29 85 b5 ec 16 c4 f8 6f 77 |...8.h.)......ow| -00000020 2f a7 42 0c 7d 8d 95 27 5c bd 53 20 bf e4 7f 7e |/.B.}..'\.S ...~| -00000030 cf 85 37 02 da 19 89 b5 ce d6 74 2e 06 4d 71 be |..7.......t..Mq.| -00000040 83 07 a9 20 f9 b0 b8 0b b4 00 f2 b0 cc a8 00 00 |... ............| +00000000 16 03 03 00 59 02 00 00 55 03 03 9d 86 5c 5c bf |....Y...U....\\.| +00000010 18 e3 24 a2 8e 6c 84 fe 72 c5 69 d2 be 89 63 5e |..$..l..r.i...c^| +00000020 5f 4b 31 a0 0a ca 1d 31 4a 58 7c 20 fc 4b c6 8c |_K1....1JX| .K..| +00000030 15 63 ff 70 fd 3f ce c1 2c 08 e4 c8 17 ca c9 9e |.c.p.?..,.......| +00000040 99 9a cb d7 84 8b 82 da a9 71 6c f8 cc a8 00 00 |.........ql.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 80 92 98 25 f5 ce 6a |........ ...%..j| -000002d0 d5 85 ed 78 64 51 08 6c 84 d5 73 36 8a 4b fe ac |...xdQ.l..s6.K..| -000002e0 7c 4e 10 30 f7 82 df 1c 79 08 04 00 80 59 dc 03 ||N.0....y....Y..| -000002f0 41 6f da f5 16 60 60 46 9e f6 a5 74 39 85 c1 22 |Ao...``F...t9.."| -00000300 f0 67 6d fd d7 b6 4e 7c f2 d6 b6 90 19 fe f5 8d |.gm...N|........| -00000310 db 0a 7e f1 8e 89 28 3c 35 7c e8 38 cd 2f 26 73 |..~...(<5|.8./&s| -00000320 6f 3f ba ba 00 92 49 5c 24 7a c2 76 06 1e 24 dd |o?....I\$z.v..$.| -00000330 e4 cb b8 11 41 79 bb 16 b5 37 ea 99 0b 8e 86 c8 |....Ay...7......| -00000340 44 86 76 e8 73 42 e5 91 35 e1 57 17 dc 46 ca 3c |D.v.sB..5.W..F.<| -00000350 31 25 ab 07 98 1d fe 6e 67 bf c2 61 46 52 54 fe |1%.....ng..aFRT.| -00000360 f4 b2 d0 de 0e cc 12 c8 94 dd 31 8b d0 16 03 03 |..........1.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 77 92 bf 45 16 f2 23 |........ w..E..#| +000002d0 32 37 d5 1d 91 be 28 bf 94 64 09 c5 0b 32 f5 65 |27....(..d...2.e| +000002e0 da 4b ec 48 3b 72 77 65 70 08 04 00 80 c9 7f 49 |.K.H;rwep......I| +000002f0 25 d1 1b 8b 7a 23 47 62 28 10 e2 b0 2f 8e 8a 5f |%...z#Gb(.../.._| +00000300 e1 51 4a 6e 2c 9d d7 cc 00 e2 7a 17 fd ab b3 d7 |.QJn,.....z.....| +00000310 19 6b 53 75 a0 08 a1 7d f7 ae 15 cd a6 a6 ce 5f |.kSu...}......._| +00000320 29 3b 45 96 f4 7f 4f a8 30 0c e8 87 98 9b 1d 15 |);E...O.0.......| +00000330 a5 a3 f3 b3 5f 5c 3a 1c 6e 4d f9 92 f5 5e fc b7 |...._\:.nM...^..| +00000340 5d 7d 34 29 f4 1d 2c 4c 8a 34 dd 19 60 07 2b c0 |]}4)..,L.4..`.+.| +00000350 a4 2b ef 1b 1e a8 68 b6 90 16 6e ce 9a 6b 01 28 |.+....h...n..k.(| +00000360 aa e3 d7 ad d8 68 b7 c7 f0 b0 93 dd 36 16 03 03 |.....h......6...| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -101,20 +101,20 @@ 00000140 08 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 |.....%...! /.}.G| 00000150 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| 00000160 c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 48 |......_X.;t....H| -00000170 0f 00 00 44 08 07 00 40 ce 6f b0 e8 38 c0 d7 8b |...D...@.o..8...| -00000180 39 38 96 0b a3 f5 41 47 c0 d6 c8 b5 73 74 8a 0d |98....AG....st..| -00000190 c7 6b 88 91 a5 92 19 6f 89 9f 44 66 cc 1a 92 48 |.k.....o..Df...H| -000001a0 9c db f6 a6 18 0e 44 55 9e 85 42 06 e2 44 1b bf |......DU..B..D..| -000001b0 69 07 40 22 db f5 7d 0e 14 03 03 00 01 01 16 03 |i.@"..}.........| -000001c0 03 00 20 e3 d0 bb 35 f7 04 46 a8 2a c4 25 e6 e9 |.. ...5..F.*.%..| -000001d0 ec f8 15 ea 5e bf ff d1 52 a9 6b 11 01 32 f2 6e |....^...R.k..2.n| -000001e0 90 fb 3c |..<| +00000170 0f 00 00 44 08 07 00 40 64 2b 4c 9d 35 fc 5c 0d |...D...@d+L.5.\.| +00000180 b8 c7 48 91 ea f2 2b e6 f6 0d e5 d1 1f c4 32 eb |..H...+.......2.| +00000190 92 1c a9 a9 d7 1e 29 ae ea cf bd 74 e4 f8 6f c3 |......)....t..o.| +000001a0 87 b6 f6 96 e3 7c 45 aa bc a0 6c 72 d5 3c 00 0b |.....|E...lr.<..| +000001b0 e2 6c 25 2e da dc a3 02 14 03 03 00 01 01 16 03 |.l%.............| +000001c0 03 00 20 ca 8c 5c 4b 5d 5e b8 09 63 ef f4 ad ab |.. ..\K]^..c....| +000001d0 61 c4 d0 16 83 f7 47 78 b9 bd 32 e9 db e0 a2 b0 |a.....Gx..2.....| +000001e0 dd db 5e |..^| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 cd 25 26 6f 2b |.......... .%&o+| -00000010 80 b1 44 af 3e 8f 78 7f c2 3a 63 5e bc 0d 16 11 |..D.>.x..:c^....| -00000020 8a 61 f9 68 23 0b bf ef b6 f9 a4 |.a.h#......| +00000000 14 03 03 00 01 01 16 03 03 00 20 35 7d 87 93 4f |.......... 5}..O| +00000010 a9 76 f7 22 1f 98 a1 f1 8c 9f 02 7b a6 80 f0 e3 |.v.".......{....| +00000020 85 87 bc 72 df cc 5e 60 bd 06 7d |...r..^`..}| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 53 74 aa ff f3 0e c0 f4 03 77 3d |.....St.......w=| -00000010 68 1b 2b 40 de 66 46 13 d5 2a 7a 15 03 03 00 12 |h.+@.fF..*z.....| -00000020 21 3a 39 97 83 f7 d0 ac 73 14 96 fd 43 f7 be e4 |!:9.....s...C...| -00000030 9b 90 |..| +00000000 17 03 03 00 16 87 0a 07 bf ba 9b 3f c3 77 c4 e7 |...........?.w..| +00000010 1e 56 7e d3 c2 5e e9 76 26 ca cb 15 03 03 00 12 |.V~..^.v&.......| +00000020 ad fc f3 7c aa 2b d5 12 bd 27 98 40 39 bb 0f a2 |...|.+...'.@9...| +00000030 5f b6 |_.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 index afe91926b53..9cfa847a5b3 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 1b e5 f5 28 2f |....Y...U.....(/| -00000010 86 7a 09 8f f5 e4 07 a2 d2 a5 be aa 0a 28 67 da |.z...........(g.| -00000020 24 7e 97 a3 a7 10 cf 0c 0a ed 40 20 ee a4 80 ac |$~........@ ....| -00000030 72 70 9b ab 90 94 ab a9 16 82 70 4a 12 d0 19 46 |rp........pJ...F| -00000040 0b bb 9c 16 64 42 f9 81 91 31 b0 42 c0 30 00 00 |....dB...1.B.0..| +00000000 16 03 03 00 59 02 00 00 55 03 03 da 47 f6 56 22 |....Y...U...G.V"| +00000010 34 ab 21 fe 74 4a 47 31 07 0e 12 5a ed 8f 7f dc |4.!.tJG1...Z....| +00000020 fe 66 a5 6d b1 89 64 42 58 09 43 20 5f 66 56 e4 |.f.m..dBX.C _fV.| +00000030 20 7f f9 c7 a1 9d cf a5 c7 2b 01 13 a6 9a 9f ec | ........+......| +00000040 6a 25 db 09 74 aa c2 a6 17 65 c9 fb c0 30 00 00 |j%..t....e...0..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 d5 df e3 2e 2b 7b 0c |........ ....+{.| -000002d0 73 b4 a6 ba 66 59 18 53 8a 9d e4 1a c2 fb 37 23 |s...fY.S......7#| -000002e0 8c 39 94 8c 7b b8 1a d1 17 08 04 00 80 9c 14 0f |.9..{...........| -000002f0 05 57 58 ea d6 df 44 7a b7 09 66 6e cb cd d1 a7 |.WX...Dz..fn....| -00000300 9d 5f 06 ee 96 f0 94 2f 38 35 93 c0 d0 26 2a 15 |._...../85...&*.| -00000310 12 2c 72 7b cb 76 ca 86 41 92 95 12 48 af c5 09 |.,r{.v..A...H...| -00000320 19 c5 2b 19 11 3a 52 f8 fd 5f 32 bb fd 50 48 f0 |..+..:R.._2..PH.| -00000330 bc 2f 42 cd a2 65 65 f1 0d bc cd f3 d2 69 ee 2b |./B..ee......i.+| -00000340 c3 63 32 be 43 49 45 95 47 41 61 08 da 22 2f 7c |.c2.CIE.GAa.."/|| -00000350 72 56 2b 65 2c cf b0 83 1f cc ed c2 55 a8 64 61 |rV+e,.......U.da| -00000360 00 ab 0b 28 11 22 1e a4 c8 ca 70 cc 4c 16 03 03 |...(."....p.L...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 05 08 bc 2a 15 84 52 |........ ...*..R| +000002d0 4e 4e 6c fb e4 d4 d2 b5 71 f6 64 88 ed 49 67 3b |NNl.....q.d..Ig;| +000002e0 db 05 fe 03 83 4f 4d da 27 08 04 00 80 02 ef c0 |.....OM.'.......| +000002f0 0d a2 4d c4 2e c3 ed 7b e7 df 4d a7 f8 48 0d 23 |..M....{..M..H.#| +00000300 1f c0 c3 c6 be cc c2 31 be 27 d5 51 d0 63 96 d4 |.......1.'.Q.c..| +00000310 cd b9 63 cd ae 4a 2f 75 fe ab 4e 7b 26 e0 28 d7 |..c..J/u..N{&.(.| +00000320 0a 6b ab 60 f6 d0 3d b2 4c 9a e6 a1 04 3f e1 6f |.k.`..=.L....?.o| +00000330 6f 61 e5 21 82 a5 ca c7 d3 d9 1f de 71 68 02 38 |oa.!........qh.8| +00000340 dc cd b4 fc d9 f2 42 f3 0e 72 dc a2 3a 0d 9f a5 |......B..r..:...| +00000350 bb f8 3c fa bc 6e 0a 26 93 7d cf 3a 09 b8 74 45 |..<..n.&.}.:..tE| +00000360 44 5a bf c3 55 29 6a 35 8b 6e d5 6c fc 16 03 03 |DZ..U)j5.n.l....| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 28 0a 78 3d d6 88 96 |.........(.x=...| -00000240 2f 5c 74 20 06 57 97 b4 7f 4a c8 e7 6b 11 28 41 |/\t .W...J..k.(A| -00000250 50 e2 03 7b 65 49 d6 e1 b4 b7 d8 50 f9 53 5b fb |P..{eI.....P.S[.| -00000260 3a 10 30 b0 22 f2 8f 8c 0f 20 db b6 de 9d 72 88 |:.0.".... ....r.| -00000270 6f 8a 90 e7 c2 14 14 16 93 8a 8a 45 c0 26 b4 fe |o..........E.&..| -00000280 3e 11 5d 62 ac df 94 3c 7d 45 92 4b 07 fd df 70 |>.]b...<}E.K...p| -00000290 70 45 e7 24 1f 0d 43 3e 2f ea 5a b9 01 16 93 d1 |pE.$..C>/.Z.....| -000002a0 95 bd 59 d6 6e 36 5f e2 77 34 ae 44 57 c4 89 28 |..Y.n6_.w4.DW..(| -000002b0 28 e4 e3 56 4a 83 06 c2 6d 14 03 03 00 01 01 16 |(..VJ...m.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 f8 3f 48 ee |...(.........?H.| -000002d0 da dc 67 23 ae 16 e4 dd 97 eb 61 df 48 23 70 e0 |..g#......a.H#p.| -000002e0 a7 38 76 35 66 b5 36 34 41 3c 06 b1 |.8v5f.64A<..| +00000230 88 0f 00 00 84 08 04 00 80 34 9b 6f 9d dc a0 fd |.........4.o....| +00000240 73 ff b4 00 a5 20 5e a0 86 fd 43 fa 1b a0 ab 4c |s.... ^...C....L| +00000250 46 93 fe 27 17 ca 90 16 c3 52 cc 26 19 57 9c 11 |F..'.....R.&.W..| +00000260 6c d1 24 c6 da 43 08 ee 92 cf fe b5 c3 f9 75 ee |l.$..C........u.| +00000270 f5 d9 97 ef 2d e9 d7 cb 3b bc 1f 39 6e 4e 64 6e |....-...;..9nNdn| +00000280 82 24 c6 c2 85 da 9f e7 6d 7d 8a 78 dc 49 04 51 |.$......m}.x.I.Q| +00000290 ac e5 5c 49 67 0b e3 4c f0 78 9b 6c b1 85 6e 00 |..\Ig..L.x.l..n.| +000002a0 2a f2 6c b9 45 f9 0a f6 7c ba 3a 5c 3d 2d 11 2c |*.l.E...|.:\=-.,| +000002b0 ff 33 37 60 78 67 cc 74 7b 14 03 03 00 01 01 16 |.37`xg.t{.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 f9 7f ac 25 |...(...........%| +000002d0 80 ef 1b 0f ef fa 5e cc 35 b7 c6 3a fa a1 d8 c3 |......^.5..:....| +000002e0 b5 8f 50 0d ef ed 24 6e d5 b2 d7 a8 |..P...$n....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 78 41 46 11 e2 |..........(xAF..| -00000010 8c ce 8a e8 a4 c5 fb 34 36 0e eb ef 44 51 89 e6 |.......46...DQ..| -00000020 f9 10 ed 16 f5 a4 01 c8 10 a6 f5 5c 89 ff d2 c6 |...........\....| -00000030 1b fd 51 |..Q| +00000000 14 03 03 00 01 01 16 03 03 00 28 2b 72 fe b1 b8 |..........(+r...| +00000010 f6 fb 4c ef 68 c5 4d ff ad 53 99 5a 69 aa cf 0f |..L.h.M..S.Zi...| +00000020 b0 18 55 d0 be 96 66 06 c2 ac f4 d0 27 64 77 08 |..U...f.....'dw.| +00000030 e3 aa 1b |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 65 ae 6b |.............e.k| -00000010 69 87 fb 43 d4 ad 47 be fe a9 cd 79 d7 e5 17 94 |i..C..G....y....| -00000020 04 7f 84 15 03 03 00 1a 00 00 00 00 00 00 00 02 |................| -00000030 cd cf f7 c7 36 fc 46 7a 8f 4f 2d bd 23 da fd d8 |....6.Fz.O-.#...| -00000040 b5 8d |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 93 2a 5d |..............*]| +00000010 97 82 a2 0f 99 e8 c3 7f 26 e5 25 52 d5 78 da c2 |........&.%R.x..| +00000020 78 a0 96 15 03 03 00 1a 00 00 00 00 00 00 00 02 |x...............| +00000030 a2 44 f9 e5 c2 78 12 f3 00 16 60 ff 0d 5c 72 9f |.D...x....`..\r.| +00000040 fa 7b |.{| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA index a3250f72fc0..0a33c71faf4 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 db 6b ec 03 09 |....Y...U...k...| -00000010 7b 73 48 57 44 2a 1e 45 cb 32 1a 6f ce f8 cd 40 |{sHWD*.E.2.o...@| -00000020 7c a5 91 5a e1 d3 b3 8f c4 ab ce 20 14 8f 65 1e ||..Z....... ..e.| -00000030 11 16 5c e0 a2 f1 42 c1 6a 41 1a c6 6e 56 c6 1b |..\...B.jA..nV..| -00000040 33 34 fc 2e e5 00 4f 24 0e 7e 25 ad c0 09 00 00 |34....O$.~%.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 88 07 0f 5d 50 |....Y...U.....]P| +00000010 1a 58 78 08 cf a9 e4 bb d1 32 f1 b3 38 c8 e9 b9 |.Xx......2..8...| +00000020 f9 d3 11 8e 53 d0 56 c8 83 a5 9e 20 1c 0d c5 31 |....S.V.... ...1| +00000030 0b 8a df ab e6 89 e7 52 f4 6c f3 f7 fa ef a2 e7 |.......R.l......| +00000040 04 80 f8 1d b9 d6 2f 06 cd 7d 86 e3 c0 09 00 00 |....../..}......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,23 +56,23 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 69 b1 |*............ i.| -00000280 4b 8c 96 1e d4 99 2c 4c e7 bd c6 4f 21 82 c9 fe |K.....,L...O!...| -00000290 06 84 90 d9 87 ce 7d 71 85 77 5d 56 31 3e 04 03 |......}q.w]V1>..| -000002a0 00 8b 30 81 88 02 42 01 1c e4 21 c7 08 f3 98 08 |..0...B...!.....| -000002b0 31 30 60 06 4e 9e b3 26 f6 3d 94 15 4e 9e 48 58 |10`.N..&.=..N.HX| -000002c0 dd 7a 2f e2 c8 9b 0c ef 7d 07 a1 73 99 87 f6 04 |.z/.....}..s....| -000002d0 45 5c 70 a7 1f e5 2f 24 13 7c 87 1f c8 60 30 08 |E\p.../$.|...`0.| -000002e0 08 e0 b7 36 6d d3 11 d4 63 02 42 01 bd ea a9 d6 |...6m...c.B.....| -000002f0 56 73 28 5c f0 b9 8c e7 6a 6b e2 9c 2e b4 07 5e |Vs(\....jk.....^| -00000300 0c 84 40 92 a9 0e c9 05 b7 da 11 b6 89 86 85 3c |..@............<| -00000310 b5 de b6 58 26 b9 d6 58 0e 57 44 37 d7 78 3c d4 |...X&..X.WD7.x<.| -00000320 4e 3a 33 59 9b f5 0e f9 12 34 11 76 f2 16 03 03 |N:3Y.....4.v....| -00000330 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| -00000340 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| -00000350 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| -00000360 03 02 02 02 04 02 05 02 06 02 00 00 16 03 03 00 |................| -00000370 04 0e 00 00 00 |.....| +00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 38 a6 |*............ 8.| +00000280 2a fa e9 29 a1 36 b0 81 ec 6d d9 e9 aa de 10 13 |*..).6...m......| +00000290 9b f0 b2 00 da 2a 50 32 98 42 01 f1 c9 2e 04 03 |.....*P2.B......| +000002a0 00 89 30 81 86 02 41 29 d6 69 3d 7b 14 a6 a6 80 |..0...A).i={....| +000002b0 99 04 29 c5 0c 0b 08 a7 de 7c ba 40 1a 95 08 e9 |..)......|.@....| +000002c0 b6 45 dc 42 f8 db 36 79 39 9d 41 80 e6 3e ec a5 |.E.B..6y9.A..>..| +000002d0 89 03 0c 50 ef 8b 19 6a 18 f0 b1 ba b0 98 a2 09 |...P...j........| +000002e0 f5 e6 7c d1 c1 bf 2c cf 02 41 6c ad c2 13 26 a9 |..|...,..Al...&.| +000002f0 5e 05 26 2b c2 08 a0 bb 58 bc 58 a1 6b e9 1c 45 |^.&+....X.X.k..E| +00000300 1a da 94 46 13 36 95 cc 45 47 09 1a 46 45 03 86 |...F.6..EG..FE..| +00000310 34 5d d8 89 7f f2 7b 5a 1e 14 0f 39 b2 96 36 7d |4]....{Z...9..6}| +00000320 91 0e b1 13 77 d0 91 35 f1 5d 23 16 03 03 00 3a |....w..5.]#....:| +00000330 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 06 03 |...6...@........| +00000340 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 08 06 |................| +00000350 04 01 05 01 06 01 03 03 02 03 03 01 02 01 03 02 |................| +00000360 02 02 04 02 05 02 06 02 00 00 16 03 03 00 04 0e |................| +00000370 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -109,31 +109,31 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 ae 9e da c9 3e 5a 43 |.............>ZC| -00000240 5f 6e 9d ad bf 15 9a 69 95 19 07 a7 d6 1b 3e b7 |_n.....i......>.| -00000250 00 da eb 70 71 f9 d9 4c e7 f4 14 89 5c b6 61 5d |...pq..L....\.a]| -00000260 6f 2d 72 25 f7 95 8b fe 60 c7 b0 a2 8a 67 e0 eb |o-r%....`....g..| -00000270 2e d3 ca 14 4d 13 01 fa e2 d2 a2 91 5e bb 4d 9a |....M.......^.M.| -00000280 bb 72 e4 5c 1e 04 05 34 8f 1a e6 39 e5 7a 99 1e |.r.\...4...9.z..| -00000290 2d 1a 9c 19 42 f1 11 2d f2 95 ce 26 3b b6 35 4e |-...B..-...&;.5N| -000002a0 ae 6d 82 f3 1a 25 bf 40 b2 19 cd 87 48 21 09 91 |.m...%.@....H!..| -000002b0 b7 cd af 55 09 c7 4c df 21 14 03 03 00 01 01 16 |...U..L.!.......| +00000230 88 0f 00 00 84 08 04 00 80 b2 ee 78 9c d5 ff 48 |...........x...H| +00000240 c2 70 54 c1 b0 40 2b cf 39 f7 83 46 c5 7a 2e 05 |.pT..@+.9..F.z..| +00000250 a8 d8 fd f2 8e de 7e 7b 9a 6d 4a 53 3b 5d c6 88 |......~{.mJS;]..| +00000260 e1 74 79 ac 06 17 95 35 05 94 90 66 77 57 7f cd |.ty....5...fwW..| +00000270 dc 3a 97 ef 61 f4 ce ad c2 e4 24 a8 c4 d8 0c 7e |.:..a.....$....~| +00000280 58 2e cd b8 98 d7 c5 24 24 f1 cb 2c bd c3 79 bb |X......$$..,..y.| +00000290 b5 58 39 61 31 5f c1 f7 6d 0e 28 cb c3 97 21 11 |.X9a1_..m.(...!.| +000002a0 25 27 0c 4a 9f 3c d3 c2 89 5f 3b f6 54 26 ad 7e |%'.J.<..._;.T&.~| +000002b0 c2 91 fb ef 99 8e 6f 93 6c 14 03 03 00 01 01 16 |......o.l.......| 000002c0 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 00 |...@............| -000002d0 00 00 00 00 b1 8f e1 be 15 2a 62 94 92 92 bf 96 |.........*b.....| -000002e0 33 6e 57 dd 48 b6 72 77 a6 f1 75 77 af ca f2 20 |3nW.H.rw..uw... | -000002f0 14 2f d8 e8 78 15 65 3a cc 78 fb 83 cd d3 32 3a |./..x.e:.x....2:| -00000300 51 5e 72 53 |Q^rS| +000002d0 00 00 00 00 8a bd 68 39 c9 b0 fe 88 05 9d 09 ad |......h9........| +000002e0 f2 72 b3 1c d3 e6 5d 19 89 f1 3c bb 57 9a f2 d5 |.r....]...<.W...| +000002f0 16 39 52 46 36 2c 3d 51 54 a7 83 ea 69 37 38 f8 |.9RF6,=QT...i78.| +00000300 6a 8a cd 60 |j..`| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 aa f3 6d 85 91 |..........@..m..| -00000010 6a c5 71 92 fb ee 98 3a 89 62 59 2d 05 f3 31 92 |j.q....:.bY-..1.| -00000020 a6 88 e0 8d f3 e7 b2 2e 54 f3 01 43 d3 84 9d 68 |........T..C...h| -00000030 e4 e1 54 85 99 d4 a2 57 0f e1 cf f9 60 c9 07 a7 |..T....W....`...| -00000040 79 0a cd 08 c7 f0 15 34 d6 d4 81 |y......4...| +00000000 14 03 03 00 01 01 16 03 03 00 40 0e 03 b8 a0 1e |..........@.....| +00000010 2a 93 c9 2e b0 f3 0a 56 02 36 e5 a9 ca 74 93 e3 |*......V.6...t..| +00000020 3a 56 e8 d2 b3 e0 c6 3d 75 76 f9 c7 f7 0f a7 d1 |:V.....=uv......| +00000030 48 09 e0 b4 b6 aa f6 93 67 ed 67 e8 10 26 f7 38 |H.......g.g..&.8| +00000040 65 f8 e0 d3 1d 30 0e af 54 8b 51 |e....0..T.Q| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 05 dc 17 e3 97 fe d1 0c 78 92 98 |.............x..| -00000020 08 40 88 26 14 4f 19 4a e2 b8 bb 21 14 32 6c 63 |.@.&.O.J...!.2lc| -00000030 7f 56 37 70 c6 15 03 03 00 30 00 00 00 00 00 00 |.V7p.....0......| -00000040 00 00 00 00 00 00 00 00 00 00 93 33 60 99 a1 4b |...........3`..K| -00000050 64 59 7c 96 b9 2f 76 04 35 41 8c f3 cd f2 eb ae |dY|../v.5A......| -00000060 8e d0 b2 3a 52 34 75 e7 ac a8 |...:R4u...| +00000010 00 00 00 00 00 0f 0d f8 ae 6c e0 c8 7d 00 63 2f |.........l..}.c/| +00000020 38 a5 bb 63 d6 a2 70 a8 92 93 7b 9b ea e7 f8 d0 |8..c..p...{.....| +00000030 a7 69 ab c3 65 15 03 03 00 30 00 00 00 00 00 00 |.i..e....0......| +00000040 00 00 00 00 00 00 00 00 00 00 11 54 4a 9f d7 3d |...........TJ..=| +00000050 1a 98 19 5e a4 d3 f5 e3 6a 52 93 db 9f b5 8d 21 |...^....jR.....!| +00000060 1c b4 a8 b7 78 45 33 9d a4 1c |....xE3...| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA index 8cffe77886a..80558258f9f 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 e7 b6 27 1e c6 |....Y...U....'..| -00000010 ad 2f 54 87 5f 07 f3 79 b8 99 7f 47 9f c9 4e 07 |./T._..y...G..N.| -00000020 b5 ce 4d 2c b2 9b 9f d9 c9 c4 cb 20 12 92 cd 25 |..M,....... ...%| -00000030 7a d8 99 a8 0d 8f 51 70 ec ac d0 d2 cb aa be 1e |z.....Qp........| -00000040 e4 0e 7e 86 94 8b 37 6d 2c e5 18 74 c0 2f 00 00 |..~...7m,..t./..| +00000000 16 03 03 00 59 02 00 00 55 03 03 c6 0c 82 72 66 |....Y...U.....rf| +00000010 11 c1 5d 0c 43 86 19 58 b6 73 ba a9 99 4a b1 bd |..].C..X.s...J..| +00000020 3c 03 c8 d4 20 99 41 01 59 39 3d 20 4e e6 7c 25 |<... .A.Y9= N.|%| +00000030 6d bb 7a 5b 48 46 41 12 fb 9e ac 0f be 8f 44 5b |m.z[HFA.......D[| +00000040 86 85 00 6b d6 9b b5 d8 78 47 f1 73 c0 2f 00 00 |...k....xG.s./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 91 cf 1f a5 64 24 c6 |........ ....d$.| -000002d0 c3 40 9a 47 1c db af 10 44 19 e6 8d db 04 a0 59 |.@.G....D......Y| -000002e0 62 52 f2 63 bc 9f 94 5a 7b 08 04 00 80 9d 72 5a |bR.c...Z{.....rZ| -000002f0 b8 80 2f 3a ec f2 7d f5 62 3a 71 f8 2b 04 1e f5 |../:..}.b:q.+...| -00000300 ed 73 c0 ed 6c e6 17 b8 43 f8 95 d3 50 16 a2 1a |.s..l...C...P...| -00000310 31 21 11 02 f5 b4 4a d6 5b be 73 37 a4 13 f5 04 |1!....J.[.s7....| -00000320 6b 09 fe b5 c4 0b 1b d9 80 72 5e 40 ac 02 81 cc |k........r^@....| -00000330 b4 cd 3b 1d 67 43 a5 e3 c5 9c a6 11 a1 e5 f9 7f |..;.gC..........| -00000340 95 7b b0 b9 54 9d 0c 61 9d 24 17 d5 fe bf ec 2a |.{..T..a.$.....*| -00000350 9a e1 8d 69 91 f0 14 e7 f6 cb 8b 99 81 1a f1 a0 |...i............| -00000360 4c d8 3d ce 26 e7 a7 3d 05 67 08 9a 7b 16 03 03 |L.=.&..=.g..{...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 fc 55 11 76 e3 a5 bf |........ .U.v...| +000002d0 c0 35 33 3b e4 a2 bd b2 11 19 7e 80 7b 0a ed 81 |.53;......~.{...| +000002e0 4c 5a c6 90 b1 5f 69 9d 35 08 04 00 80 34 25 56 |LZ..._i.5....4%V| +000002f0 47 fd ec 63 95 d2 c4 b5 60 0d 9b 5c 9b 14 f8 19 |G..c....`..\....| +00000300 25 d7 c7 5a 24 68 06 38 d6 c1 fa a6 dc 6f 28 6c |%..Z$h.8.....o(l| +00000310 d4 35 89 0c 8b bf ec 03 32 10 7b 8e 3d 29 06 d3 |.5......2.{.=)..| +00000320 54 4e 98 de c5 da 01 c3 b3 ec b2 68 42 04 87 47 |TN.........hB..G| +00000330 4b 7f ad 84 da 0f 60 68 f3 e6 9b 10 46 db 74 37 |K.....`h....F.t7| +00000340 bb d1 9b ac 14 21 22 9e b2 27 64 98 e3 14 05 48 |.....!"..'d....H| +00000350 e2 5a 19 22 1f 13 a7 81 42 d7 60 c1 72 46 1a 06 |.Z."....B.`.rF..| +00000360 1a 94 a0 b2 0d 97 42 94 ef 85 b1 66 00 16 03 03 |......B....f....| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 65 40 33 27 bd b2 59 |.........e@3'..Y| -00000240 d3 a2 33 60 fe fa b4 43 c1 21 e2 3c e4 71 e8 25 |..3`...C.!.<.q.%| -00000250 67 82 c0 47 12 64 99 ee 2e 6c 23 df e6 cd da a4 |g..G.d...l#.....| -00000260 94 cb 3c c3 2e 44 9d 4a 5c 50 1f a9 9b ae 94 d4 |..<..D.J\P......| -00000270 0a 8b 2c 5c 5b 08 79 28 be 87 74 61 ff 31 c0 97 |..,\[.y(..ta.1..| -00000280 f1 31 63 f5 36 f2 a3 25 c2 a2 26 95 51 4b 43 9d |.1c.6..%..&.QKC.| -00000290 3a e5 38 08 f6 71 29 42 3b c1 bb 9a ca c9 5b 0f |:.8..q)B;.....[.| -000002a0 d2 ce 00 d5 e4 ed fd 8a 1e 46 77 f6 99 39 d1 86 |.........Fw..9..| -000002b0 2e 4d cb 2d e6 fb e8 cf 23 14 03 03 00 01 01 16 |.M.-....#.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 30 06 d6 08 |...(........0...| -000002d0 64 2c 49 f6 85 71 d1 8d e5 d0 11 2a c9 10 bc b8 |d,I..q.....*....| -000002e0 81 24 0a a6 c7 5d 6e 83 9a 00 ca 46 |.$...]n....F| +00000230 88 0f 00 00 84 08 04 00 80 6a 07 33 cd a9 ed 1f |.........j.3....| +00000240 da e7 72 89 c6 48 a0 1f 58 83 42 02 88 aa 7e b6 |..r..H..X.B...~.| +00000250 b5 05 02 ff e0 63 fa 56 ec 7b d8 2b 3b 6e 78 8b |.....c.V.{.+;nx.| +00000260 dc c3 50 5e 0c d0 90 60 04 77 72 8d b7 38 72 62 |..P^...`.wr..8rb| +00000270 28 f1 3c 5d e5 c2 f7 5e 3d b3 06 4b 74 d4 54 3d |(.<]...^=..Kt.T=| +00000280 00 39 23 86 04 1a 29 0e f5 41 95 9f cb e9 68 6e |.9#...)..A....hn| +00000290 d0 54 77 99 e8 80 5e 36 23 d6 67 b7 ab 96 12 67 |.Tw...^6#.g....g| +000002a0 de 9d 1a f0 d2 46 78 31 59 e2 83 ab 91 9c 22 a1 |.....Fx1Y.....".| +000002b0 82 61 20 46 7e ed b2 e5 7c 14 03 03 00 01 01 16 |.a F~...|.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 28 c3 48 48 |...(........(.HH| +000002d0 25 47 89 19 cd 31 f8 b6 2b 28 00 86 74 a4 6e f4 |%G...1..+(..t.n.| +000002e0 db f2 82 22 a3 c3 2b 77 a6 e1 0d 73 |..."..+w...s| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 7c b0 ea 1b 7d |..........(|...}| -00000010 97 b2 48 47 ef 3b 43 5a 6d bf 7e 5b 2d 02 41 ed |..HG.;CZm.~[-.A.| -00000020 75 ff 5f 3d c9 72 49 44 9f ef 08 06 ec 7e c1 99 |u._=.rID.....~..| -00000030 ee b3 2c |..,| +00000000 14 03 03 00 01 01 16 03 03 00 28 16 2b c2 10 b5 |..........(.+...| +00000010 8e 4e 8c dd cc c2 d6 12 bc 91 48 80 1a 61 65 29 |.N........H..ae)| +00000020 24 e3 14 f3 bc c2 ae 47 03 c7 2d 57 16 72 9b 35 |$......G..-W.r.5| +00000030 e8 5e dd |.^.| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 3b 18 22 |.............;."| -00000010 40 d4 85 c2 b3 d1 ff c2 6c f7 05 88 ec f3 6c 3c |@.......l.....l<| -00000020 4d 58 62 15 03 03 00 1a 00 00 00 00 00 00 00 02 |MXb.............| -00000030 a9 99 ee fe ee 94 c6 96 86 57 4e c4 af a0 31 46 |.........WN...1F| -00000040 d9 1d |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 50 71 ab |.............Pq.| +00000010 dd 09 fc ce 95 a1 75 7d 57 e0 77 5c 78 76 a4 da |......u}W.w\xv..| +00000020 55 f7 65 15 03 03 00 1a 00 00 00 00 00 00 00 02 |U.e.............| +00000030 2d 70 f1 44 04 70 3d 8d c1 08 44 ee 74 d0 70 5e |-p.D.p=...D.t.p^| +00000040 d2 3d |.=| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 index 87a033c261a..9f2d6b20d08 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 53 b4 47 4e ce |....Y...U..S.GN.| -00000010 bc 07 7e 94 8d 00 78 21 6d 47 01 10 91 22 e2 26 |..~...x!mG...".&| -00000020 4b 40 4a 01 86 e7 14 89 b2 3e a9 20 29 48 80 06 |K@J......>. )H..| -00000030 fc be f6 4f db e4 1a a3 a5 38 0f c7 0b c8 99 11 |...O.....8......| -00000040 e3 93 a6 08 3a 81 6c fc df 32 b8 db c0 2f 00 00 |....:.l..2.../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 ad 28 be 14 bb |....Y...U...(...| +00000010 f1 5a 63 0d 1d 1b 4a fd 4f 76 92 fa 45 86 9e 7c |.Zc...J.Ov..E..|| +00000020 33 fd 27 cf 8b 0b 87 5d 90 56 d4 20 d1 3f 43 48 |3.'....].V. .?CH| +00000030 57 24 64 41 0e 93 1b 33 b8 58 82 e6 ef 6f 62 58 |W$dA...3.X...obX| +00000040 ff eb 2b 25 8c 85 94 1a 68 bd c5 85 c0 2f 00 00 |..+%....h..../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 be 7b 6a 7c f4 69 a1 |........ .{j|.i.| -000002d0 18 f2 03 b8 76 96 90 ff e9 2b 43 34 cc 15 42 14 |....v....+C4..B.| -000002e0 0c d6 66 7a 75 d8 c3 53 79 04 01 00 80 85 f5 df |..fzu..Sy.......| -000002f0 18 92 42 c7 30 4f 0e 74 bf 18 4b e1 79 37 ae 3f |..B.0O.t..K.y7.?| -00000300 34 ec e6 2f 84 41 f7 28 a3 9a 82 d0 3e b4 bb 06 |4../.A.(....>...| -00000310 37 43 f4 8c 8b 0a 76 54 7d 26 b5 0d 74 b0 b0 50 |7C....vT}&..t..P| -00000320 d4 bf 03 c0 b9 ea 8c 6e cc 7d 3b 8f db e2 d9 4c |.......n.};....L| -00000330 6a 61 17 1c 41 70 5a 18 33 a4 b1 e3 dc 0d 5e da |ja..ApZ.3.....^.| -00000340 97 78 ed 5a d2 c8 38 36 b1 79 ea ff 0f 82 5f a1 |.x.Z..86.y...._.| -00000350 45 cd 92 e1 d8 0e 1f 3d 69 69 52 3a 61 49 62 78 |E......=iiR:aIbx| -00000360 dd b5 7e 3f de 7d a8 2b 63 e3 67 13 4a 16 03 03 |..~?.}.+c.g.J...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 7a 2f 24 21 3d 70 0a |........ z/$!=p.| +000002d0 fa 8e af 04 a5 de 2e 7a 2b ea e7 89 b7 6d 02 5b |.......z+....m.[| +000002e0 22 94 b3 a8 2b dd a2 22 2b 04 01 00 80 7f e0 26 |"...+.."+......&| +000002f0 dd 2d 59 05 0b b6 1f 67 4d eb 09 db 14 66 9e e9 |.-Y....gM....f..| +00000300 95 1e 84 db 96 79 e7 2e c8 e8 96 bc 7b 97 61 3f |.....y......{.a?| +00000310 b3 34 0e 13 0a 5c 60 43 c1 0a df 98 9d 54 55 5b |.4...\`C.....TU[| +00000320 93 1c 20 5f d1 c9 7f 1e d3 4d c9 7a 2d f8 9f 4f |.. _.....M.z-..O| +00000330 d0 a2 25 50 e0 5c ad 06 1a bc 55 da 36 5f e8 5a |..%P.\....U.6_.Z| +00000340 e5 cd fb 6c 0e 78 06 b7 bc df 67 fe 85 f2 62 56 |...l.x....g...bV| +00000350 3f cb d2 21 8e af 3a 87 69 69 94 2a f9 fd 4f 90 |?..!..:.ii.*..O.| +00000360 ce cc 05 72 8a 49 fe 2d d2 16 04 b8 83 16 03 03 |...r.I.-........| 00000370 00 0c 0d 00 00 08 01 01 00 02 04 01 00 00 16 03 |................| 00000380 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) @@ -110,26 +110,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 04 01 00 80 ab c7 c4 44 5b e4 90 |............D[..| -00000240 47 73 c5 5b a4 30 c5 29 0c 8a 22 b4 16 1b 00 08 |Gs.[.0.)..".....| -00000250 f4 ba f9 6c b2 ce 5c f3 21 01 29 b9 91 37 05 3a |...l..\.!.)..7.:| -00000260 e7 7a 1e 95 81 d4 00 b9 50 56 04 1b 22 ad f8 6e |.z......PV.."..n| -00000270 5b c0 ff be 5c 23 4c 62 0a 96 65 2d db 4b 63 4d |[...\#Lb..e-.KcM| -00000280 58 eb 1d f1 36 d0 a8 c0 31 3b 8a 6d 96 1e 42 00 |X...6...1;.m..B.| -00000290 ca d5 6e 3f d8 e4 a5 e7 17 2b 3b 6f 4d 3f d9 a8 |..n?.....+;oM?..| -000002a0 62 0f 60 99 b8 87 83 c5 db a5 0e 1b 51 b1 49 2e |b.`.........Q.I.| -000002b0 26 ad 6c 2b b0 44 60 83 1c 14 03 03 00 01 01 16 |&.l+.D`.........| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 44 dc ce 42 |...(........D..B| -000002d0 82 35 c2 34 38 1b ce a7 5c bf 0b 59 34 c8 e4 9c |.5.48...\..Y4...| -000002e0 6f da 4f 3a 90 17 eb fa 74 8f 25 6a |o.O:....t.%j| +00000230 88 0f 00 00 84 04 01 00 80 82 93 25 56 68 63 65 |...........%Vhce| +00000240 28 ce bd e9 6a 32 e1 05 b4 3e 37 60 ca 58 b5 3c |(...j2...>7`.X.<| +00000250 9e f3 62 bd d8 ac a8 08 b3 83 21 cc 56 e8 55 db |..b.......!.V.U.| +00000260 3a e2 af e8 7d a1 a5 44 f0 77 e7 52 6f df 62 77 |:...}..D.w.Ro.bw| +00000270 46 a9 64 88 2a 73 a6 05 85 98 fa 76 6f f7 ee 1b |F.d.*s.....vo...| +00000280 20 20 8b 44 dc a2 54 d3 f2 5e 98 b4 38 47 6e d5 | .D..T..^..8Gn.| +00000290 d9 d1 96 8e d2 da 34 3d f5 f7 b3 c0 94 56 c6 13 |......4=.....V..| +000002a0 ba e2 71 c1 d0 0d c0 20 e2 20 c1 33 9d 35 ab e0 |..q.... . .3.5..| +000002b0 63 a8 00 d4 39 cc fa 51 7f 14 03 03 00 01 01 16 |c...9..Q........| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 85 28 6c 5e |...(.........(l^| +000002d0 f2 59 b2 c6 95 f5 83 cc cb 8c fa 05 9a 08 54 bf |.Y............T.| +000002e0 e4 f6 46 43 d4 1d ec ed c1 c9 02 37 |..FC.......7| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 b3 78 39 76 82 |..........(.x9v.| -00000010 88 69 4c 74 d2 80 37 98 f5 90 9f 6d 1a 96 71 1a |.iLt..7....m..q.| -00000020 89 2e f8 24 7b 85 df dd 1a d0 46 b6 e5 15 23 a3 |...${.....F...#.| -00000030 a5 39 74 |.9t| +00000000 14 03 03 00 01 01 16 03 03 00 28 a2 af 00 ba ef |..........(.....| +00000010 04 a2 43 75 0a fb 38 e3 32 07 db 91 c0 df e0 a1 |..Cu..8.2.......| +00000020 2e 3f a4 cf 40 ab 5e ec 0c 1e 0e 7f d7 9a f5 b4 |.?..@.^.........| +00000030 f8 3e c8 |.>.| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 60 5d 73 |.............`]s| -00000010 2a 79 13 57 d3 ad d2 ca dd c7 c5 a5 4b ad 50 09 |*y.W........K.P.| -00000020 41 59 26 15 03 03 00 1a 00 00 00 00 00 00 00 02 |AY&.............| -00000030 7e 2f 84 6d 8a d8 33 e0 4c 01 44 c4 14 d9 8b 3e |~/.m..3.L.D....>| -00000040 ed a5 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 98 1e fa |................| +00000010 46 ab 6f 67 d1 72 4f 91 27 03 94 af f1 8f e1 b1 |F.og.rO.'.......| +00000020 08 38 b5 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.8..............| +00000030 a0 61 50 4a 21 d1 f2 00 fc 2a 23 f9 64 bd 93 2b |.aPJ!....*#.d..+| +00000040 c5 91 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS index 0f5fd332c08..9a812b3c3ec 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 33 12 ae a5 1f |....Y...U..3....| -00000010 04 99 f6 cb 87 9e 7a 73 d1 d6 df 5e 15 83 79 67 |......zs...^..yg| -00000020 98 80 e8 b1 83 69 8b f6 2c 03 ef 20 2d 2a 4f 1b |.....i..,.. -*O.| -00000030 af cd 85 24 a2 d7 c4 4b f8 b7 ba 85 8a c7 8d 44 |...$...K.......D| -00000040 28 14 f8 d8 8e 14 bd 70 98 db 09 8d c0 2f 00 00 |(......p...../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 5a cc 39 31 f4 |....Y...U..Z.91.| +00000010 a1 eb cf a0 35 10 e8 b3 0e a6 82 47 46 cc 40 d4 |....5......GF.@.| +00000020 0c 76 53 c2 04 b9 99 b6 e7 60 a8 20 20 18 1c f0 |.vS......`. ...| +00000030 be e4 23 b8 83 7a f2 38 ad 91 fd e7 e2 19 40 29 |..#..z.8......@)| +00000040 34 eb 47 43 68 73 45 49 6c 2e cd 62 c0 2f 00 00 |4.GChsEIl..b./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 66 0b 00 02 62 00 02 5f 00 02 5c 30 82 02 |..f...b.._..\0..| 00000070 58 30 82 01 8d a0 03 02 01 02 02 11 00 f2 99 26 |X0.............&| @@ -62,17 +62,17 @@ 000002a0 11 89 66 79 d1 8e 88 0e 0b a0 9e 30 2a c0 67 ef |..fy.......0*.g.| 000002b0 ca 46 02 88 e9 53 81 22 69 22 97 ad 80 93 d4 f7 |.F...S."i"......| 000002c0 dd 70 14 24 d7 70 0a 46 a1 16 03 03 00 ac 0c 00 |.p.$.p.F........| -000002d0 00 a8 03 00 1d 20 d8 05 94 b2 a4 0e c7 b4 3d 93 |..... ........=.| -000002e0 01 6d 53 1b 9d 7f 46 63 a2 14 09 f0 b7 ca 64 7b |.mS...Fc......d{| -000002f0 8e 3e ea 69 51 01 08 04 00 80 a0 69 dc e7 09 05 |.>.iQ......i....| -00000300 0f e5 92 39 56 87 a4 f4 dc ed 58 19 1c c1 f1 2b |...9V.....X....+| -00000310 15 a0 6c 40 a0 c2 b7 10 14 78 e6 71 a5 52 03 b0 |..l@.....x.q.R..| -00000320 79 f5 71 80 fd c2 67 d2 43 5d fc 54 ff f4 e7 eb |y.q...g.C].T....| -00000330 5a 44 77 bd 75 08 14 d4 12 7b b5 34 e7 06 c2 aa |ZDw.u....{.4....| -00000340 5f 03 e4 87 dd 36 43 e4 70 c5 77 fb 12 d5 28 a4 |_....6C.p.w...(.| -00000350 af 94 ed 52 8b 34 d0 7b 7a dc 3f 26 01 ba 6a aa |...R.4.{z.?&..j.| -00000360 2d bc f4 b0 bc 60 95 69 71 8a 18 57 c6 8d 50 bc |-....`.iq..W..P.| -00000370 9d 0c d1 a1 6d b4 ce e7 59 24 16 03 03 00 0c 0d |....m...Y$......| +000002d0 00 a8 03 00 1d 20 2a 87 76 b4 82 80 74 c1 b1 a9 |..... *.v...t...| +000002e0 4b 3c a3 c3 33 30 5b 34 ec e3 50 3e d9 fe 22 47 |K<..30[4..P>.."G| +000002f0 cd cb c8 74 de 5b 08 04 00 80 88 ae 79 87 62 bb |...t.[......y.b.| +00000300 84 20 33 ef ef 15 69 7c 10 cd 5f e7 ce 69 3e 94 |. 3...i|.._..i>.| +00000310 6d 3d fa d0 e6 e7 0e 75 d5 ed fe 4a 8a 6c a4 e6 |m=.....u...J.l..| +00000320 ea fc 54 2c eb 2f 0b 84 13 26 5d ca a6 79 91 89 |..T,./...&]..y..| +00000330 1d 1d 4e 72 9c 60 f7 83 50 05 5d b1 92 79 cb 95 |..Nr.`..P.]..y..| +00000340 47 46 fd 23 d8 2e 43 62 33 07 a2 5a ed 4d 34 31 |GF.#..Cb3..Z.M41| +00000350 d3 99 35 cf 8c 22 36 b9 09 43 ae b0 bc df 5d c5 |..5.."6..C....].| +00000360 ce e6 57 63 13 4b 95 b9 3f 74 8d 78 fa a0 40 2b |..Wc.K..?t.x..@+| +00000370 c3 18 ba 07 ad eb 42 e1 7f 8b 16 03 03 00 0c 0d |......B.........| 00000380 00 00 08 01 01 00 02 08 04 00 00 16 03 03 00 04 |................| 00000390 0e 00 00 00 |....| >>> Flow 3 (client to server) @@ -118,26 +118,26 @@ 00000270 10 00 00 21 20 2f e5 7d a3 47 cd 62 43 15 28 da |...! /.}.G.bC.(.| 00000280 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| 00000290 5f 58 cb 3b 74 16 03 03 00 88 0f 00 00 84 08 04 |_X.;t...........| -000002a0 00 80 46 3f ff 69 a3 c2 5f 48 96 c6 f4 4e a8 9b |..F?.i.._H...N..| -000002b0 ec a2 31 f8 98 a6 c8 ee 0a d3 2c 4c db ca 14 ca |..1.......,L....| -000002c0 d7 c1 de de f8 c0 21 b0 97 cd 46 9b d5 aa 4f 3e |......!...F...O>| -000002d0 fc f0 2f 85 94 10 0f 59 48 a8 5a ba 52 5f 98 50 |../....YH.Z.R_.P| -000002e0 d9 a0 60 1d b1 74 ca d3 6c 9d 1b c5 ac c9 f6 bf |..`..t..l.......| -000002f0 5c 88 ae 44 c7 ef 0b 22 86 42 68 cc a9 47 47 16 |\..D...".Bh..GG.| -00000300 72 7e 54 b4 7b 2c e1 76 57 b7 66 60 cc de 01 32 |r~T.{,.vW.f`...2| -00000310 97 20 6a a8 7a 8f 80 3d 37 d8 85 a8 85 a8 36 db |. j.z..=7.....6.| -00000320 ef 95 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| -00000330 00 00 00 00 00 65 d6 5b 5b 85 b8 f7 81 6f b0 3c |.....e.[[....o.<| -00000340 1c 37 50 d9 e8 f0 b9 54 a9 3c d0 01 68 ef cd 48 |.7P....T.<..h..H| -00000350 57 9c 92 39 2c |W..9,| +000002a0 00 80 b1 60 bf 9c 5b 7e a8 30 a1 cd 9b 71 37 64 |...`..[~.0...q7d| +000002b0 1a ae 32 f3 05 04 9e 7e 20 16 f6 b0 06 da a8 94 |..2....~ .......| +000002c0 45 d3 2d 9e 85 bd b2 19 9b d3 c8 e3 b4 f9 6a 22 |E.-...........j"| +000002d0 b8 dd 0a 52 46 80 d7 d0 07 de 41 16 ab 35 bf 70 |...RF.....A..5.p| +000002e0 6b a4 73 15 c6 0f c2 c9 e7 7f 8f 4b f3 fc a7 b3 |k.s........K....| +000002f0 78 0d 6b cd 15 9c c6 d1 1e cb 30 aa 1d fa 40 7b |x.k.......0...@{| +00000300 31 72 98 f3 a0 fa 2a ef c0 0d 1d 28 2d 15 3d aa |1r....*....(-.=.| +00000310 56 93 05 59 74 68 d5 11 7e 6a 46 03 77 ed 9c 38 |V..Yth..~jF.w..8| +00000320 fd d8 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| +00000330 00 00 00 00 00 ac ae b1 ff ac fd f6 4b 73 c2 e4 |............Ks..| +00000340 3f e2 10 4d 19 25 72 45 9f a1 4e d1 26 2e ef 2b |?..M.%rE..N.&..+| +00000350 01 4b ad bb ba |.K...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 29 14 f2 7a 8e |..........()..z.| -00000010 ce 3f fe 2b 77 41 eb 54 66 bf ec a2 96 e3 8e 0d |.?.+wA.Tf.......| -00000020 6c 80 63 e6 32 71 8a e0 b0 79 f8 6b 61 e4 a0 71 |l.c.2q...y.ka..q| -00000030 da 27 6e |.'n| +00000000 14 03 03 00 01 01 16 03 03 00 28 97 05 05 14 93 |..........(.....| +00000010 3c 26 0c f0 41 11 2d 41 ac 7c 53 5c aa 77 3b 7c |<&..A.-A.|S\.w;|| +00000020 57 b9 88 20 d6 45 8e 06 fc a1 ee da f1 35 c7 1d |W.. .E.......5..| +00000030 a3 99 86 |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 db 73 2a |..............s*| -00000010 32 fd 93 de 72 dc bb cb e0 7b 50 9f 26 60 ac 1e |2...r....{P.&`..| -00000020 ed 56 1f 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.V..............| -00000030 b1 51 75 36 c8 7a 58 8b 7e 66 1b 7f a7 80 2a 98 |.Qu6.zX.~f....*.| -00000040 71 4f |qO| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 fc 0f c0 |................| +00000010 ee 9f fd 01 0b 11 47 bf 69 78 65 9f b0 67 63 e5 |......G.ixe..gc.| +00000020 77 ee 7a 15 03 03 00 1a 00 00 00 00 00 00 00 02 |w.z.............| +00000030 16 22 08 ab 25 b0 96 e6 b6 08 34 0f 1b 98 b4 4a |."..%.....4....J| +00000040 e6 ac |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES index 526ed98f215..9b0d034b41f 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 ea 5a 27 1c 34 |....Y...U...Z'.4| -00000010 93 7c 96 d2 ad 6f bf 4a e4 0f 5d 18 6c 51 f0 61 |.|...o.J..].lQ.a| -00000020 3a 49 f8 c0 e1 a6 ff e8 4a 32 85 20 27 08 a5 da |:I......J2. '...| -00000030 52 7e fe f7 e8 61 d5 96 8a 7d bc d7 0f 67 fd b5 |R~...a...}...g..| -00000040 92 b6 12 d5 d3 0d e2 2a 13 19 fb 43 c0 09 00 00 |.......*...C....| +00000000 16 03 03 00 59 02 00 00 55 03 03 e8 d2 2a b3 91 |....Y...U....*..| +00000010 54 f5 d6 68 d3 b3 d1 da 33 b4 88 e9 b3 e8 af 1d |T..h....3.......| +00000020 f0 0a 4d fd bb 03 d0 45 2a 98 af 20 52 a4 f0 3c |..M....E*.. R..<| +00000030 27 f7 15 ec a5 f9 72 08 62 fd 78 5f 1e 2c 74 b1 |'.....r.b.x_.,t.| +00000040 61 d8 6d f3 7e 61 ca 5f 14 02 05 8f c0 09 00 00 |a.m.~a._........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 e4 f1 |*............ ..| -00000280 3a 07 21 10 d0 c8 c5 d2 d9 6b 48 20 ad 46 5d 95 |:.!......kH .F].| -00000290 5c 12 f4 65 b1 7d f9 e2 b3 70 21 9c 75 13 04 03 |\..e.}...p!.u...| -000002a0 00 89 30 81 86 02 41 68 48 61 e2 8c fd 73 03 52 |..0...AhHa...s.R| -000002b0 28 57 97 ef eb 77 96 f9 9b 78 93 e2 69 b6 89 79 |(W...w...x..i..y| -000002c0 f6 d1 6e 0d ff 45 70 21 7c 6a 87 5c 01 5b 7f 54 |..n..Ep!|j.\.[.T| -000002d0 cd 77 bf 50 64 d7 4e 36 c5 4b 71 c5 e5 ee 76 62 |.w.Pd.N6.Kq...vb| -000002e0 4b 7f e7 4e 43 22 5d a1 02 41 7f 37 6f b5 fe 6f |K..NC"]..A.7o..o| -000002f0 f0 1b 31 72 28 96 df bb 86 d9 ae 18 c2 c9 62 f5 |..1r(.........b.| -00000300 4d f9 c8 37 cb e6 6d 34 b9 b2 06 fc 12 e2 d3 58 |M..7..m4.......X| -00000310 eb c1 47 0d 1b 44 44 5c 3d 12 e7 f4 3f 3b 2c a3 |..G..DD\=...?;,.| -00000320 a6 2d 41 dc bc 93 bb 21 4d fd 07 16 03 03 00 04 |.-A....!M.......| -00000330 0e 00 00 00 |....| +00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 a1 2f |*............ ./| +00000280 23 53 a5 12 e9 f7 05 24 e4 bc e6 ab be cb c8 83 |#S.....$........| +00000290 a5 45 11 51 6f f5 0c a1 8f a0 42 87 0b 0e 04 03 |.E.Qo.....B.....| +000002a0 00 8a 30 81 87 02 42 00 8a 50 c4 09 d8 5d 22 dd |..0...B..P...]".| +000002b0 00 59 71 1b 0a 2b 56 ff e0 a2 00 0f 9c f7 dd 70 |.Yq..+V........p| +000002c0 60 98 d8 f1 42 d9 46 6c 57 ef 21 f8 4b de 17 42 |`...B.FlW.!.K..B| +000002d0 38 c4 17 e5 67 0f 5d f5 83 97 dd c9 96 19 3d a5 |8...g.].......=.| +000002e0 44 5a 19 2b 0c d2 50 e7 84 02 41 60 54 79 0b fb |DZ.+..P...A`Ty..| +000002f0 ac dd 39 77 d7 9d a3 9a 9f 5f dd b2 f7 0b 73 43 |..9w....._....sC| +00000300 f5 a9 fb 7e f2 39 7a 92 27 c4 08 df e3 2d 43 10 |...~.9z.'....-C.| +00000310 a8 4f c0 08 71 01 a8 03 b1 5a e0 08 e3 77 05 7c |.O..q....Z...w.|| +00000320 4d 72 d4 de 5a 0c 28 b9 e4 cd ea d5 16 03 03 00 |Mr..Z.(.........| +00000330 04 0e 00 00 00 |.....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 c5 8f eb cd 42 34 c5 8d 5d 9e 2a |.........B4..].*| -00000050 3a 1e 4c 28 68 c3 e6 f7 38 7c a5 fd d3 c1 98 b6 |:.L(h...8|......| -00000060 39 52 0d 54 8a 7b 2b 35 e2 fb 4d 95 71 27 09 1a |9R.T.{+5..M.q'..| -00000070 85 49 b4 e5 39 |.I..9| +00000040 00 00 00 00 00 5f f8 e5 a2 05 9b 9e b2 21 94 58 |....._.......!.X| +00000050 48 a3 ce c2 0a 84 63 76 fe bd cb 8e 82 40 79 41 |H.....cv.....@yA| +00000060 e6 85 72 8f 3b c2 64 16 b6 1b 19 37 ba 56 2d ae |..r.;.d....7.V-.| +00000070 76 43 2a 10 ef |vC*..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 40 d3 3f ed 29 |..........@@.?.)| -00000010 e1 86 49 59 0c 3d fe 57 3c d5 b3 b4 38 a1 1d b5 |..IY.=.W<...8...| -00000020 db c1 20 0e 0a 8a 67 94 35 aa 30 e2 34 18 5d 6e |.. ...g.5.0.4.]n| -00000030 37 38 14 d6 1f b9 91 2a 57 8f f1 2c 0b fa 30 f0 |78.....*W..,..0.| -00000040 ff 7a 24 a0 1c 8a 6a ea bc b1 5a |.z$...j...Z| +00000000 14 03 03 00 01 01 16 03 03 00 40 90 f1 7c 20 46 |..........@..| F| +00000010 8f 12 86 8b ec af 4f ff 53 9e df 3c 7f f7 0b 22 |......O.S..<..."| +00000020 80 b9 6a be 1b 61 c8 e6 69 e0 af f6 6e a4 4c f2 |..j..a..i...n.L.| +00000030 d6 2f 46 9f c0 0e df ca f1 9f b6 b7 26 c8 80 ee |./F.........&...| +00000040 e5 29 5c af f7 45 7e 8c 8a d3 e9 |.)\..E~....| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 93 03 e9 e8 7f 0b 31 ac 1d e2 fd |...........1....| -00000020 14 a4 37 c6 b1 17 e5 a1 29 82 3f 38 c2 9c 9d df |..7.....).?8....| -00000030 a7 63 16 0d 34 15 03 03 00 30 00 00 00 00 00 00 |.c..4....0......| -00000040 00 00 00 00 00 00 00 00 00 00 64 4e 5d b0 41 4b |..........dN].AK| -00000050 4b f1 04 54 61 5b 94 2e 4c 71 fc c3 f1 b9 99 63 |K..Ta[..Lq.....c| -00000060 26 4a fa dd 0b 98 89 f1 50 83 |&J......P.| +00000010 00 00 00 00 00 fc 70 69 79 f4 6a 98 7e 84 20 e5 |......piy.j.~. .| +00000020 b0 55 99 73 b1 15 e3 b2 b6 b6 55 fc ec 33 d0 5d |.U.s......U..3.]| +00000030 1f 72 c1 2b 40 15 03 03 00 30 00 00 00 00 00 00 |.r.+@....0......| +00000040 00 00 00 00 00 00 00 00 00 00 9e 49 7f 5a 72 eb |...........I.Zr.| +00000050 ea 3f b2 27 51 73 85 27 06 a1 21 82 7f e3 3a e4 |.?.'Qs.'..!...:.| +00000060 26 41 d9 94 98 c0 4d 9c 2d 08 |&A....M.-.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM index 85daa8ba8f6..3057368cabb 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 59 b5 2a 40 4b |....Y...U..Y.*@K| -00000010 05 9d a2 04 2b 11 a4 48 16 dd 87 1f d7 b0 a3 05 |....+..H........| -00000020 66 7f 88 19 e8 d8 a8 01 92 d9 30 20 f5 f9 0e e5 |f.........0 ....| -00000030 1f 3f e4 77 54 ad 41 b8 95 d7 fb 9d 07 34 b6 20 |.?.wT.A......4. | -00000040 26 15 2f 3a 08 ce 59 65 6b bc b7 06 c0 2b 00 00 |&./:..Yek....+..| +00000000 16 03 03 00 59 02 00 00 55 03 03 f9 94 bf 77 df |....Y...U.....w.| +00000010 d2 65 9c f5 4b a5 5b 2d 83 d2 d0 fb c6 4a d5 de |.e..K.[-.....J..| +00000020 59 58 80 5e f7 a1 90 92 9c 52 d9 20 ee 15 26 2f |YX.^.....R. ..&/| +00000030 36 d6 11 c8 56 99 38 8c 21 5d 42 12 07 a7 d7 9e |6...V.8.!]B.....| +00000040 72 56 51 9a 0e 1b 40 68 d4 83 b5 f7 c0 2b 00 00 |rVQ...@h.....+..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 31 fb |*............ 1.| -00000280 fa d2 fe f3 3a 7a d0 13 2a a0 75 41 a1 a7 1f 50 |....:z..*.uA...P| -00000290 08 ca 52 7f 6c f9 5f 9d 89 8b 28 7f 61 42 04 03 |..R.l._...(.aB..| -000002a0 00 89 30 81 86 02 42 00 eb 1c 75 f1 23 b6 78 e7 |..0...B...u.#.x.| -000002b0 6d 80 33 77 4a d0 e0 8b 4b 89 2d c9 49 a4 5c 3d |m.3wJ...K.-.I.\=| -000002c0 5e 9c 29 f5 e1 be 79 bc b2 4d 04 82 66 bd c9 df |^.)...y..M..f...| -000002d0 f9 c0 a4 1c e2 1b a8 8f fc 1f d2 1c 62 9e 9f 42 |............b..B| -000002e0 55 db e5 2a 52 34 29 ff 52 02 40 0a 3e 6d 65 b9 |U..*R4).R.@.>me.| -000002f0 ba d4 96 83 68 b8 0e 64 b4 e9 bd 6c 09 46 e9 e4 |....h..d...l.F..| -00000300 3e 58 ba 4b fd a0 82 71 fa e2 cc b2 ce f4 03 b4 |>X.K...q........| -00000310 3a 56 d4 2a 86 87 0e 15 40 5c f5 41 fb 93 c5 38 |:V.*....@\.A...8| -00000320 f0 fd 5d d1 fb 24 85 15 76 43 1e 16 03 03 00 04 |..]..$..vC......| -00000330 0e 00 00 00 |....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 42 fb |*............ B.| +00000280 af 0d 4e a8 47 0b 59 aa 8a e0 84 cf 90 19 df 0a |..N.G.Y.........| +00000290 f7 5b c5 f8 da 3b a8 3f 64 e4 63 f2 e5 78 04 03 |.[...;.?d.c..x..| +000002a0 00 8b 30 81 88 02 42 00 d0 2b 9e 29 81 da 40 5f |..0...B..+.)..@_| +000002b0 f2 6c 9d b7 71 9a 62 8e f9 97 3c 46 aa 5a c1 0e |.l..q.b...>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 f3 fd 54 |....(..........T| -00000040 4c 31 20 ed bd 4c 47 d6 8c ad 29 06 6f 17 3e a8 |L1 ..LG...).o.>.| -00000050 0b d1 a5 7e c6 85 e6 bf a5 f0 0d ef bf |...~.........| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 e9 67 5d |....(.........g]| +00000040 9d 46 57 e5 5c 31 66 30 60 82 a6 cc 77 e6 65 b1 |.FW.\1f0`...w.e.| +00000050 85 ca 5c 01 5c 52 27 74 c0 88 d5 1c 8a |..\.\R't.....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 39 ba 1f a4 8d |..........(9....| -00000010 63 a3 c8 85 bd dd 33 55 1c a8 7c 2a 6a d0 ac 8a |c.....3U..|*j...| -00000020 37 bd 38 fb 43 39 48 47 0e c4 c3 b7 50 27 26 88 |7.8.C9HG....P'&.| -00000030 d7 f8 de |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 86 af 32 a9 34 |..........(..2.4| +00000010 2a de 1d a1 dd 5c 44 37 f6 87 cd 61 57 19 ed e4 |*....\D7...aW...| +00000020 af 52 52 1f a3 d0 78 c3 9e 96 d4 4e 6e 07 0f d4 |.RR...x....Nn...| +00000030 2d 17 0e |-..| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 36 ba 3c |.............6.<| -00000010 7d 01 dc 91 09 93 70 a0 8f 59 35 f1 aa ac 6e 97 |}.....p..Y5...n.| -00000020 5f 76 5f 15 03 03 00 1a 00 00 00 00 00 00 00 02 |_v_.............| -00000030 fc 38 19 6c 5c 56 ba 0a 2b d0 59 80 0c fb aa 7f |.8.l\V..+.Y.....| -00000040 1e 68 |.h| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 d2 41 48 |..............AH| +00000010 ba f3 f7 39 f7 9a 4f 0b 71 00 fd 5d d1 93 80 d4 |...9..O.q..]....| +00000020 9a 5b cb 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.[..............| +00000030 ad b0 93 42 65 a2 7f fc eb 0c 14 d0 f7 f7 ed 86 |...Be...........| +00000040 4d 5b |M[| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 index 34b088ff06c..da4a5003161 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 07 a4 6b db b9 |....Y...U....k..| -00000010 ef 53 60 df 1e b5 4b 93 2f 58 d7 7c 0a b0 53 a7 |.S`...K./X.|..S.| -00000020 60 f9 d8 f4 4d d2 14 1c 78 0f 9b 20 80 6c c1 35 |`...M...x.. .l.5| -00000030 d2 db 0a 37 c7 85 d6 dc 27 17 f3 6e 3b 7d 2c f0 |...7....'..n;},.| -00000040 77 67 58 ab f5 83 d9 41 4b 51 e2 1e c0 23 00 00 |wgX....AKQ...#..| +00000000 16 03 03 00 59 02 00 00 55 03 03 d9 b2 22 ea f4 |....Y...U...."..| +00000010 a5 2d 3a 3d 44 32 c0 11 86 01 83 47 83 07 a4 ba |.-:=D2.....G....| +00000020 2a 6f 80 bb 05 8c 3e a0 b0 64 f6 20 af 8b 99 78 |*o....>..d. ...x| +00000030 10 d8 52 14 51 25 69 b3 58 73 46 8d 3e 8a 79 81 |..R.Q%i.XsF.>.y.| +00000040 d7 3e a4 2f c0 55 09 50 d6 16 a7 4f c0 23 00 00 |.>./.U.P...O.#..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,43 +56,43 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 d7 55 |*............ .U| -00000280 0f 75 a2 99 d1 c1 71 48 79 ef 61 58 46 21 f0 b1 |.u....qHy.aXF!..| -00000290 a7 b5 82 af 8a e8 f2 42 82 4d c8 21 5e 7d 04 03 |.......B.M.!^}..| -000002a0 00 8b 30 81 88 02 42 00 d6 4b 1c 98 1e 68 ff 63 |..0...B..K...h.c| -000002b0 ae 00 02 55 40 49 b3 95 c6 c3 a0 ff d3 e7 47 e0 |...U@I........G.| -000002c0 6e f8 e2 5c fe 22 73 61 ee 35 d9 58 7a 2a 90 1b |n..\."sa.5.Xz*..| -000002d0 74 1b c9 bc 9b ef b3 a3 5c d9 0e 31 9a 68 62 17 |t.......\..1.hb.| -000002e0 a6 26 1d f1 ed d0 e9 78 8f 02 42 01 e7 bc b2 e1 |.&.....x..B.....| -000002f0 62 51 35 3b ca 13 fa ef 1d 97 c9 12 68 a0 3b bf |bQ5;........h.;.| -00000300 eb 21 bf e9 90 bb b5 20 d1 9e d1 ca b6 3c 51 4b |.!..... .....>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 8d 3f d1 18 e5 df ef cc 3f 92 9d |......?......?..| -00000050 0d a5 5e f8 76 03 51 df 3b a4 c6 10 79 83 2b 2b |..^.v.Q.;...y.++| -00000060 ff b2 30 e7 a0 01 0e cf 3c 27 bd c6 e9 d2 04 a3 |..0.....<'......| -00000070 fe c0 34 8e 85 a1 2a 46 db b1 c1 ba dc 9c ca 1f |..4...*F........| -00000080 75 9f b5 9c 5e |u...^| +00000040 00 00 00 00 00 72 c9 4d 47 6d db 97 73 8c 39 45 |.....r.MGm..s.9E| +00000050 8f f0 52 b6 ec f3 f6 eb c2 4c 8f 6a 8a ba 63 55 |..R......L.j..cU| +00000060 90 8d 7d 10 72 d3 75 c2 32 69 f9 ad d4 78 84 9e |..}.r.u.2i...x..| +00000070 ce 4f 1e ec 6f eb be fe 68 7f f1 3f 65 39 fe ff |.O..o...h..?e9..| +00000080 57 ff 21 e6 08 |W.!..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 0a 8f 8f 00 a0 |..........P.....| -00000010 a0 fb 79 93 90 b9 cd a0 3b 4e ce ea e4 cb 5b 54 |..y.....;N....[T| -00000020 27 6b a3 9a 67 6d 7a cf 28 11 94 74 5e eb 9b f6 |'k..gmz.(..t^...| -00000030 8d 88 3e 76 d2 03 70 07 1c 39 ca 5c b5 a8 fe 0e |..>v..p..9.\....| -00000040 c7 63 8c b8 10 fc f3 79 e4 7e de 11 0c a1 c2 22 |.c.....y.~....."| -00000050 92 11 2d d3 16 ce d5 0b 0d 6c 34 |..-......l4| +00000000 14 03 03 00 01 01 16 03 03 00 50 16 21 37 e2 6c |..........P.!7.l| +00000010 fb 32 1c ec 75 64 fe b1 3c 19 44 cb d8 83 13 c1 |.2..ud..<.D.....| +00000020 9b 98 7a 67 0a 52 44 5b 68 63 4f 12 9a 1e 09 e2 |..zg.RD[hcO.....| +00000030 65 92 48 a1 58 26 8a 22 dd 19 e6 0f 02 84 79 2b |e.H.X&."......y+| +00000040 11 3a 58 04 dc a4 08 1d f5 f2 79 19 d6 63 ec a5 |.:X.......y..c..| +00000050 28 46 ed 88 38 a1 ce 20 a6 b1 9d |(F..8.. ...| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 33 eb 2a 84 91 4c e2 ff 1f 5b 74 |.....3.*..L...[t| -00000020 fe f8 e2 ac b9 42 20 6d b4 8d ae 66 bd 3e 24 fd |.....B m...f.>$.| -00000030 b6 c8 3a 9f 4e 40 2d 91 47 a1 6a 93 0e 95 5d ca |..:.N@-.G.j...].| -00000040 e0 64 b4 f7 d0 15 03 03 00 40 00 00 00 00 00 00 |.d.......@......| -00000050 00 00 00 00 00 00 00 00 00 00 b6 00 08 e1 14 b2 |................| -00000060 8e 92 23 5c d7 ea 45 ed 1e 8d ad d0 29 06 e9 96 |..#\..E.....)...| -00000070 e4 3b 70 fb 72 c5 50 d1 32 ec 9f bd b9 d9 f6 e2 |.;p.r.P.2.......| -00000080 81 9c 7b 0d 59 d6 b7 d2 b8 90 |..{.Y.....| +00000010 00 00 00 00 00 86 e7 32 19 d5 c6 23 b6 b7 de 95 |.......2...#....| +00000020 2d 71 fa 1e 3b c1 64 a0 7d 64 b7 44 5a 0f 24 10 |-q..;.d.}d.DZ.$.| +00000030 1b b3 24 18 80 57 cb 31 15 29 47 4a 9d b5 54 22 |..$..W.1.)GJ..T"| +00000040 50 41 a7 bc a8 15 03 03 00 40 00 00 00 00 00 00 |PA.......@......| +00000050 00 00 00 00 00 00 00 00 00 00 94 a3 c1 b1 32 e4 |..............2.| +00000060 32 79 f1 61 49 3f a4 9d eb 73 35 44 80 21 c6 94 |2y.aI?...s5D.!..| +00000070 60 23 3d 24 8b 94 0f 36 1e 2b 16 35 8f 3a b8 fa |`#=$...6.+.5.:..| +00000080 87 82 83 2d 23 28 1c d9 8c aa |...-#(....| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 index 604acfcc403..f32d7215f92 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 9a 51 f1 e1 99 |....Y...U...Q...| -00000010 72 61 1c ea 7b 77 d1 ec 19 d0 b2 d0 07 0d 18 17 |ra..{w..........| -00000020 7c 68 db 59 d0 6d f8 00 ef 41 df 20 21 25 4d 65 ||h.Y.m...A. !%Me| -00000030 e9 d2 02 08 e7 90 7f 04 dc 75 3b ea 77 fb c8 1d |.........u;.w...| -00000040 ad 89 6c 2c 39 bc 99 1a 7b 11 58 0f c0 2c 00 00 |..l,9...{.X..,..| +00000000 16 03 03 00 59 02 00 00 55 03 03 c6 ed 87 bb ba |....Y...U.......| +00000010 16 06 09 5c 6a a3 9a cd a1 c4 c8 8b 78 4f 19 8d |...\j.......xO..| +00000020 e2 c7 98 3a f8 fc d1 0d d3 8e 17 20 de 60 72 8c |...:....... .`r.| +00000030 82 0e f2 68 3e d0 a5 8a c4 f5 20 72 fa 00 ab f1 |...h>..... r....| +00000040 bf 70 57 07 9d f7 aa bd 91 45 e2 e1 c0 2c 00 00 |.pW......E...,..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 e4 08 |*............ ..| -00000280 e7 16 1b 17 33 6d 51 3f b7 2e 64 f3 72 f1 d2 c3 |....3mQ?..d.r...| -00000290 85 0c 1b a8 29 dc 6b 09 a4 71 b3 dd ab 7d 04 03 |....).k..q...}..| -000002a0 00 8a 30 81 87 02 42 01 05 bd af 40 18 f8 02 30 |..0...B....@...0| -000002b0 99 b2 05 73 a3 c1 86 dd f2 6b c9 28 2a 13 8f aa |...s.....k.(*...| -000002c0 a1 e0 37 b6 cc ed f9 2b ba 7a 7c e0 48 11 5f 66 |..7....+.z|.H._f| -000002d0 68 f2 31 7d 34 4d b2 df d2 09 36 a4 c8 5a 20 b8 |h.1}4M....6..Z .| -000002e0 00 45 70 8c 89 52 34 2d 6d 02 41 0f 66 6a fe 53 |.Ep..R4-m.A.fj.S| -000002f0 d4 e4 35 4f 05 f6 d4 52 83 72 4a 41 f3 ae a3 02 |..5O...R.rJA....| -00000300 78 8d 03 22 ba c2 82 b6 2c 76 a7 2c 7c 2e cf f7 |x.."....,v.,|...| -00000310 b0 70 90 89 82 be 76 4e 98 b1 64 26 d9 fe 6b 5e |.p....vN..d&..k^| -00000320 c0 5e 70 63 a9 8d 67 bf c6 66 ec 29 16 03 03 00 |.^pc..g..f.)....| -00000330 04 0e 00 00 00 |.....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 04 92 |*............ ..| +00000280 9c e2 0b 4d 19 90 f5 a3 13 b9 6a 93 29 28 75 8e |...M......j.)(u.| +00000290 fb 36 22 c8 c5 64 92 f4 da 25 23 af bb 7f 04 03 |.6"..d...%#.....| +000002a0 00 8b 30 81 88 02 42 00 a6 e9 1f 95 11 93 e8 0d |..0...B.........| +000002b0 fc b3 4c 50 3a 43 10 dc 51 5d 2c e2 5d 22 f1 bb |..LP:C..Q],.]"..| +000002c0 9b 88 c8 ec 38 e0 c4 64 1c 1a ee 19 70 34 a3 58 |....8..d....p4.X| +000002d0 0d bb 66 1b 74 ce 95 5f 74 61 66 d8 d7 eb a1 47 |..f.t.._taf....G| +000002e0 31 cf c0 cb e6 65 1c 13 d2 02 42 01 ed 1d af f1 |1....e....B.....| +000002f0 a0 37 c6 6c ae 3b 60 50 dd b5 b2 30 25 87 9f c7 |.7.l.;`P...0%...| +00000300 b2 0b fc 76 83 0a a0 23 e8 4d 84 25 13 ea bb c3 |...v...#.M.%....| +00000310 0e 1c 5b 9d a1 d5 7f 32 17 19 59 a9 71 ef 5c f0 |..[....2..Y.q.\.| +00000320 bc 6e a8 05 7d 5e 77 b3 e0 7a f8 88 40 16 03 03 |.n..}^w..z..@...| +00000330 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 8b d0 fa |....(...........| -00000040 f9 46 2d 3f 62 64 6e d0 ba 82 55 2a 03 20 42 2d |.F-?bdn...U*. B-| -00000050 6c a5 da 60 06 8a 19 1d c3 ed b7 0f 23 |l..`........#| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 c5 31 e1 |....(.........1.| +00000040 66 aa c3 59 0a 85 8b 84 68 a6 1d fe 34 67 68 fd |f..Y....h...4gh.| +00000050 41 9a 9b 50 84 9b 86 05 bb 5b 3d f4 65 |A..P.....[=.e| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 b5 6a 60 53 f3 |..........(.j`S.| -00000010 ea 64 2e 5e 57 29 90 73 82 e4 40 58 ac b1 95 44 |.d.^W).s..@X...D| -00000020 45 52 17 1c 1b b1 18 6c d5 f7 49 70 02 b4 4a 23 |ER.....l..Ip..J#| -00000030 ae 42 73 |.Bs| +00000000 14 03 03 00 01 01 16 03 03 00 28 25 e2 90 04 e5 |..........(%....| +00000010 e0 8b c2 fb ff d0 22 14 12 66 1e 65 24 58 e8 0e |......"..f.e$X..| +00000020 af 00 8c 3e ab a6 cc f4 b3 1f b7 77 77 58 f1 e8 |...>.......wwX..| +00000030 ac 06 9c |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 d4 5b ca |..............[.| -00000010 bc ba aa b7 c6 fc 2d 86 6b af 31 b3 28 4f 70 ac |......-.k.1.(Op.| -00000020 16 5e 6a 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.^j.............| -00000030 42 72 a8 83 27 51 69 2d bb 64 36 ce 2e 12 49 09 |Br..'Qi-.d6...I.| -00000040 81 35 |.5| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 e9 8e 96 |................| +00000010 50 7d dd 4e 28 99 d5 e7 c5 9c a9 84 27 a9 dc d4 |P}.N(.......'...| +00000020 de 65 45 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.eE.............| +00000030 e8 cc c9 ad 08 8e 61 34 0c 83 aa 26 f7 1c c3 07 |......a4...&....| +00000040 ac a5 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 index 152a7fb7819..4f739cc11a3 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 @@ -14,11 +14,11 @@ 000000c0 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| 000000d0 90 99 5f 58 cb 3b 74 |.._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 99 12 80 1a b4 |....Y...U.......| -00000010 d2 f5 d1 f0 cd e0 e6 dd 53 3c cf 8e 73 33 c1 2b |........S<..s3.+| -00000020 4d 3d 15 54 ef 4c b0 31 39 4f 59 20 4d 7f 2d 69 |M=.T.L.19OY M.-i| -00000030 e0 3e 04 f2 43 f7 02 31 aa c4 b3 35 35 ad 90 46 |.>..C..1...55..F| -00000040 14 c5 1a ac 34 9a 8a 78 b0 11 8b 1a cc a9 00 00 |....4..x........| +00000000 16 03 03 00 59 02 00 00 55 03 03 38 5d 6c 82 55 |....Y...U..8]l.U| +00000010 7a f3 39 f8 9a ea e1 6c 05 c9 a6 b3 ee 80 20 4c |z.9....l...... L| +00000020 5e 5c 2f 1e 10 f4 2c 07 d4 2f 8f 20 29 94 d7 5e |^\/...,../. )..^| +00000030 ab 04 2b cb 61 59 58 08 bc 8d 00 d0 aa 68 b6 45 |..+.aYX......h.E| +00000040 52 c4 a5 bb cd fe d2 3e 65 c8 17 a0 cc a9 00 00 |R......>e.......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -53,32 +53,32 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 27 ac |*............ '.| -00000280 ea 48 73 9a 0a 6a 46 02 3c c9 7e ce c4 c4 2a 78 |.Hs..jF.<.~...*x| -00000290 3e ed 5a a1 21 04 da 63 55 bc a5 74 13 4c 04 03 |>.Z.!..cU..t.L..| -000002a0 00 8b 30 81 88 02 42 01 0e 0f c8 71 81 2c d9 ec |..0...B....q.,..| -000002b0 a3 96 ad 74 99 d0 f0 91 1a d8 51 4f ba 47 df e6 |...t......QO.G..| -000002c0 ef ea 2f 7b f6 c3 a7 94 ba e7 05 c8 b8 9b fd 36 |../{...........6| -000002d0 fe 76 1c 79 80 7d 95 59 e1 41 83 73 02 c0 e0 a9 |.v.y.}.Y.A.s....| -000002e0 f5 66 24 f2 5d 65 d4 37 90 02 42 00 87 e7 e3 f8 |.f$.]e.7..B.....| -000002f0 e7 83 72 bc 7b c2 d4 77 e9 45 33 74 b3 7d d4 43 |..r.{..w.E3t.}.C| -00000300 f6 5e 58 39 e5 a7 aa 7b f5 c1 d9 1f 6e 5e 3c 22 |.^X9...{....n^<"| -00000310 08 3a 1e ff cc e9 da cb 5b 8b 6b 10 3a a9 da d9 |.:......[.k.:...| -00000320 70 2c a3 4e 31 af 99 d0 bb 2a f8 6c 9e 16 03 03 |p,.N1....*.l....| -00000330 00 04 0e 00 00 00 |......| +00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 c8 5a |*............ .Z| +00000280 74 1c 7d ac 46 4a b9 ce 87 1c 76 9a c3 af fc 0e |t.}.FJ....v.....| +00000290 0d 70 79 a6 65 49 a1 56 13 c3 0f 02 a7 17 04 03 |.py.eI.V........| +000002a0 00 8a 30 81 87 02 41 15 1a 91 61 f4 0e 76 fa 3c |..0...A...a..v.<| +000002b0 ee 9a f7 0f 8a 0d 93 45 41 13 c6 f5 ec cf ea 00 |.......EA.......| +000002c0 df d4 02 f8 32 d0 5f e6 10 63 21 5e 5a b0 88 d9 |....2._..c!^Z...| +000002d0 9d a2 f6 d7 8c 3e bc 50 62 3b 06 f8 d3 82 5b a2 |.....>.Pb;....[.| +000002e0 3c b6 8b 69 50 13 35 01 02 42 00 94 6d 46 fd 74 |<..iP.5..B..mF.t| +000002f0 01 e1 2d 78 c6 c2 bf 3f 99 f0 92 2a af 0f 36 f9 |..-x...?...*..6.| +00000300 6d 94 d3 da 7d 67 55 38 de fc c1 5e b8 5c 32 d2 |m...}gU8...^.\2.| +00000310 da ce b8 6b f3 dd dd e9 91 8e 73 4e c2 e5 53 fa |...k......sN..S.| +00000320 41 ba 6b ea 2c ad a9 3f 26 e9 b9 de 16 03 03 00 |A.k.,..?&.......| +00000330 04 0e 00 00 00 |.....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 77 1f e8 50 af bc 0e 09 de dd 61 |.... w..P......a| -00000040 b8 95 fb 9e 2d b3 64 2c fd 5e 7e a1 82 4f a8 62 |....-.d,.^~..O.b| -00000050 be e8 5e ed b1 |..^..| +00000030 16 03 03 00 20 3c 2b 61 9e ef c4 64 11 cf e9 12 |.... <+a...d....| +00000040 53 87 64 b4 fe 3d 04 d1 9c c9 72 5a 75 84 09 70 |S.d..=....rZu..p| +00000050 a9 d9 25 63 b3 |..%c.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 5a 99 19 9a 1a |.......... Z....| -00000010 0d 69 31 7e 7c af f8 0d cb 62 e8 26 e5 42 f7 8c |.i1~|....b.&.B..| -00000020 d2 5d 72 37 4a e9 3a fe 5d 60 35 |.]r7J.:.]`5| +00000000 14 03 03 00 01 01 16 03 03 00 20 6d 1f 64 5a 50 |.......... m.dZP| +00000010 d8 70 12 61 d8 0c 5f a6 e1 29 cd 63 1e b2 f5 5a |.p.a.._..).c...Z| +00000020 f3 29 da 2c 0b ad 7c 6c 54 f8 98 |.).,..|lT..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 fd ff af 03 13 14 71 11 57 94 45 |...........q.W.E| -00000010 26 70 c4 00 23 2e 83 d9 27 d4 90 15 03 03 00 12 |&p..#...'.......| -00000020 39 e8 65 bc 15 10 f0 2c 38 b8 fb 3e 8e 86 87 5d |9.e....,8..>...]| -00000030 17 b5 |..| +00000000 17 03 03 00 16 05 eb 22 58 5c 67 bf 34 36 54 fb |......."X\g.46T.| +00000010 7d 58 0f c6 7f 8f b4 f9 1b 8f 6f 15 03 03 00 12 |}X........o.....| +00000020 f4 1d 9b 5f 4e 18 74 a8 ca bf 15 51 66 10 c3 78 |..._N.t....Qf..x| +00000030 73 20 |s | diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES index 6e71630a48b..d1acd43f41b 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 fa d6 dc 9b b6 |....Y...U.......| -00000010 cf 05 d6 ff ed f1 b9 5f b1 3d 3e fc 34 6c f5 06 |......._.=>.4l..| -00000020 58 76 39 0d 08 72 b4 b7 2a c5 c1 20 7a e2 20 da |Xv9..r..*.. z. .| -00000030 bf f1 44 ff 98 3e d7 b0 19 5f d9 ce 95 3d 5c e8 |..D..>..._...=\.| -00000040 d6 50 d6 5a 4a a5 f8 c8 ae 16 06 ef c0 13 00 00 |.P.ZJ...........| +00000000 16 03 03 00 59 02 00 00 55 03 03 53 c1 1c aa a3 |....Y...U..S....| +00000010 a4 18 f5 56 b9 56 fd a1 51 76 69 a5 4c a3 ba d5 |...V.V..Qvi.L...| +00000020 45 36 6f 79 15 8a 93 22 66 f3 05 20 30 24 10 82 |E6oy..."f.. 0$..| +00000030 04 90 71 89 53 3d 9a 12 59 3c 83 a7 71 3d 97 3a |..q.S=..Y<..q=.:| +00000040 59 6b 24 76 29 fd 02 0b 68 7a d7 c5 c0 13 00 00 |Yk$v)...hz......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 b0 04 be 8f d9 b6 9d |........ .......| -000002d0 f6 e1 be 72 9f 96 8d 2b df 38 ee ca f0 c4 1a 23 |...r...+.8.....#| -000002e0 3e d5 28 25 a2 d9 a6 50 1e 08 04 00 80 4d 36 5c |>.(%...P.....M6\| -000002f0 90 8c 3f f3 bf 86 a9 cc 2d ea 78 dd 4c ff f7 b2 |..?.....-.x.L...| -00000300 36 89 1f 44 57 79 20 59 a3 78 69 5d d1 c2 dc a1 |6..DWy Y.xi]....| -00000310 01 a7 00 fa cb 50 d1 76 b4 b3 b0 e8 d9 fa 75 b6 |.....P.v......u.| -00000320 b8 5b 5a 4f 97 a9 dc 3b 14 f0 a7 19 74 8c a7 15 |.[ZO...;....t...| -00000330 13 24 6f 7f 92 41 c8 25 72 03 35 18 92 5b e6 cc |.$o..A.%r.5..[..| -00000340 72 d7 4c 76 9a 41 da 8c 08 f3 9b b4 02 7a e2 a0 |r.Lv.A.......z..| -00000350 d0 60 2b a2 1b 12 56 c3 9f fe 52 ef 3e 3b 05 7c |.`+...V...R.>;.|| -00000360 12 a9 5b 6f eb d8 97 50 66 c4 1b a5 7c 16 03 03 |..[o...Pf...|...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 63 6f 11 89 21 97 1f |........ co..!..| +000002d0 dc 27 84 44 46 cb 82 ba 7b 91 4c df f7 90 f2 7c |.'.DF...{.L....|| +000002e0 2f 3a af 5e 78 6e 8c 90 49 08 04 00 80 cc 19 24 |/:.^xn..I......$| +000002f0 ea 98 8f 6c 36 7d 06 37 b2 5a 38 de 68 b1 e2 df |...l6}.7.Z8.h...| +00000300 3c ee 47 55 01 44 3b ef 96 1a f9 1e a4 b6 1d bf |<.GU.D;.........| +00000310 4b 6a c5 17 8e 7d cd 70 6f fb 3e b3 c7 1c a1 99 |Kj...}.po.>.....| +00000320 05 07 2b 8c 30 ad b3 1b 44 ff 10 65 c6 19 c2 a1 |..+.0...D..e....| +00000330 64 91 ad 11 d6 18 2c 11 c9 b2 23 98 e5 fb ef a0 |d.....,...#.....| +00000340 05 8d b2 50 33 6e b2 8f 60 e1 fa 5a 60 40 59 d3 |...P3n..`..Z`@Y.| +00000350 80 0a 68 81 e9 3a 83 b8 63 dc 10 59 6f 38 8f c4 |..h..:..c..Yo8..| +00000360 08 94 8b ee 45 71 15 1c 2a c5 41 6e 6a 16 03 03 |....Eq..*.Anj...| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 fb 79 54 57 ec a4 6a 9d 21 03 9a |......yTW..j.!..| -00000050 ed e4 3b 01 dc 43 92 ea a7 61 ab fa 7d 02 ed e8 |..;..C...a..}...| -00000060 5e 27 d8 6b 96 61 bc 35 78 c3 8a 3b 61 c4 d7 6f |^'.k.a.5x..;a..o| -00000070 d8 64 f4 2b e4 |.d.+.| +00000040 00 00 00 00 00 14 a4 07 4f f4 f9 46 3b d8 e3 8e |........O..F;...| +00000050 c7 76 ea a9 52 b1 fa 49 4d d2 22 a6 c9 88 f2 b1 |.v..R..IM.".....| +00000060 1b b7 89 e1 e2 3b 3e 13 e7 c4 02 18 eb 3d 92 2c |.....;>......=.,| +00000070 53 d0 6d 92 a1 |S.m..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 2b 90 ac da b7 |..........@+....| -00000010 e7 33 bf 28 3b 2f 2a 14 75 1d ae 72 91 b9 da 92 |.3.(;/*.u..r....| -00000020 66 22 e3 7a 04 2f e2 10 9f 29 a4 91 70 b2 f4 26 |f".z./...)..p..&| -00000030 ff 66 ab 05 21 17 32 74 f3 3b 7a 2d 94 35 62 dd |.f..!.2t.;z-.5b.| -00000040 0e 09 8e b9 39 14 b2 b3 9e e7 10 |....9......| +00000000 14 03 03 00 01 01 16 03 03 00 40 45 43 1a 09 ae |..........@EC...| +00000010 23 3a 48 0d 47 e9 89 88 0a d0 70 d7 a9 c6 59 36 |#:H.G.....p...Y6| +00000020 c7 23 0b 38 b3 a3 86 41 f4 4e d0 71 92 40 7f ea |.#.8...A.N.q.@..| +00000030 42 14 5d 11 cd 9b 12 09 31 92 21 71 c1 5f 88 81 |B.].....1.!q._..| +00000040 66 42 77 d3 bd 90 18 46 c2 03 b8 |fBw....F...| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 c4 d4 63 74 76 b8 8a e7 ff 52 4e |.......ctv....RN| -00000020 cb 7a 12 97 0d 2b 02 a6 28 19 d5 aa 82 a4 6b d2 |.z...+..(.....k.| -00000030 4a 90 fc 94 ca 15 03 03 00 30 00 00 00 00 00 00 |J........0......| -00000040 00 00 00 00 00 00 00 00 00 00 3e 5f f2 7e 9d 3c |..........>_.~.<| -00000050 d3 6f f6 06 63 bd 52 16 73 fc ef d2 81 eb 73 f7 |.o..c.R.s.....s.| -00000060 5c 2c 8b 8b 2d 9a 2a 59 b5 25 |\,..-.*Y.%| +00000010 00 00 00 00 00 cf ed 2e 50 3d 78 f6 41 97 ac b8 |........P=x.A...| +00000020 b0 f4 3b 22 2f 07 8c cc 4e dd 32 4f 10 ec 3f 77 |..;"/...N.2O..?w| +00000030 39 4e 13 21 db 15 03 03 00 30 00 00 00 00 00 00 |9N.!.....0......| +00000040 00 00 00 00 00 00 00 00 00 00 e0 81 d1 4b d3 c5 |.............K..| +00000050 39 43 14 80 14 1b 7d 21 29 78 c6 7e 7d ec a0 31 |9C....}!)x.~}..1| +00000060 3b 29 ee 47 81 45 65 b3 1d 51 |;).G.Ee..Q| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 index abe60823c80..74c9bf01c02 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 98 71 c3 c7 40 |....Y...U...q..@| -00000010 ee a0 c3 19 37 a1 a9 94 a3 80 fc 7e 3a 43 d7 e4 |....7......~:C..| -00000020 82 ca e8 46 05 d5 18 23 10 a8 08 20 5f da 9a 52 |...F...#... _..R| -00000030 c3 42 0a 40 54 68 10 a0 aa b5 d7 d1 c1 b9 49 c8 |.B.@Th........I.| -00000040 38 30 87 6f b3 e4 a1 2e 82 6d 97 26 c0 27 00 00 |80.o.....m.&.'..| +00000000 16 03 03 00 59 02 00 00 55 03 03 db 51 99 48 37 |....Y...U...Q.H7| +00000010 6e 01 26 cd 9a 4a bf 4f 3b 27 c1 be 8f e5 25 43 |n.&..J.O;'....%C| +00000020 2e b1 c3 95 d9 ba ec 04 67 47 c3 20 d1 7d 32 31 |........gG. .}21| +00000030 53 d1 b4 19 7f 5d c3 02 54 2a a0 f5 80 00 a3 3e |S....]..T*.....>| +00000040 c7 32 17 af 1c d4 61 f4 19 9b c2 54 c0 27 00 00 |.2....a....T.'..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,42 +61,42 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 56 c3 2a 3f 43 a5 f7 |........ V.*?C..| -000002d0 56 25 94 72 fc 47 7a 82 9c bb cf 3e 95 e7 9f 42 |V%.r.Gz....>...B| -000002e0 91 e2 86 e1 32 97 c8 19 06 08 04 00 80 32 5d 4b |....2........2]K| -000002f0 76 4f 90 a5 b0 51 9f e6 40 52 f7 f7 fb ea 35 13 |vO...Q..@R....5.| -00000300 df f0 2f 08 61 9a e7 7d 3d b3 32 fa 6d ea 1f 5c |../.a..}=.2.m..\| -00000310 91 39 00 fb 44 13 67 ff 69 2a 48 3b 57 d2 e6 ee |.9..D.g.i*H;W...| -00000320 24 f3 be b2 94 f5 d6 e6 bb 41 ea 60 56 bf 27 c5 |$........A.`V.'.| -00000330 fb b2 98 91 bd 50 fc ab fb 9e f1 e8 73 f2 3c 12 |.....P......s.<.| -00000340 9b 1d 71 64 70 8d ec 84 79 34 55 53 79 4e af 37 |..qdp...y4USyN.7| -00000350 31 bf 49 18 02 63 1b 9a b7 7c 79 ee fd 60 0c 68 |1.I..c...|y..`.h| -00000360 24 61 3b b1 12 1c 69 9b 00 a2 47 1c b5 16 03 03 |$a;...i...G.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 a6 87 85 f2 69 d8 72 |........ ....i.r| +000002d0 28 c9 f8 a6 c3 f3 47 c9 23 15 56 69 95 a2 59 09 |(.....G.#.Vi..Y.| +000002e0 6a d8 10 0b a1 2e b5 49 08 08 04 00 80 2e 6e 7b |j......I......n{| +000002f0 c4 e5 25 e4 7c 83 ee 76 7c 36 a7 08 b8 fc 85 6a |..%.|..v|6.....j| +00000300 6a 93 21 9b ba b6 58 b7 8d a1 c3 24 b2 70 1b e4 |j.!...X....$.p..| +00000310 29 d1 90 34 da 1a 3e 66 1c f8 76 e2 60 37 d2 21 |)..4..>f..v.`7.!| +00000320 7d 77 97 0b ee 82 64 a7 8b 29 63 31 cc 8f c0 5c |}w....d..)c1...\| +00000330 d2 53 b1 04 b1 e3 b8 0a 98 af b8 1b f7 32 63 19 |.S...........2c.| +00000340 82 26 28 1f 4b 8c 6a ce 12 f9 c2 73 38 73 79 66 |.&(.K.j....s8syf| +00000350 8f 88 8d 29 39 d0 3d 3a 2f be e9 c4 ab 06 8e fe |...)9.=:/.......| +00000360 c5 38 ce 45 42 6f 38 a0 bc f7 f5 32 29 16 03 03 |.8.EBo8....2)...| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 0a 43 00 85 a6 05 7d 7d 9f 2c 54 |......C....}}.,T| -00000050 04 32 f2 47 0f 5d a2 cc 1c ff 58 ff 2b 03 e9 db |.2.G.]....X.+...| -00000060 48 7b 2a 49 99 e5 f7 f7 bc d4 2e d1 c5 5a 9c 68 |H{*I.........Z.h| -00000070 2f 50 1b ee a4 d4 43 ac 7f 32 ef c3 88 da 3a 11 |/P....C..2....:.| -00000080 dc 55 81 d2 f9 |.U...| +00000040 00 00 00 00 00 da 1e 90 80 d7 60 a5 e4 95 dc 5b |..........`....[| +00000050 fe 5d 74 55 95 27 c9 73 06 2f 82 53 aa 9a 68 d8 |.]tU.'.s./.S..h.| +00000060 70 8d 5d ee 6b cc 59 7a 86 66 e1 a6 14 42 85 56 |p.].k.Yz.f...B.V| +00000070 90 22 64 3b 08 04 1a 53 1c 76 5a 3c d9 5c 7b 32 |."d;...S.vZ<.\{2| +00000080 29 ed 7b 57 21 |).{W!| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 96 16 24 94 04 |..........P..$..| -00000010 0e f2 88 3b e1 5c 59 3b f6 43 25 ac 43 cb de 4d |...;.\Y;.C%.C..M| -00000020 54 0d 06 95 fa 44 7e 31 06 fd a5 11 a1 2c 26 fd |T....D~1.....,&.| -00000030 a5 40 e8 7d 62 c8 9b a1 7a cd 6a f7 74 ac 57 26 |.@.}b...z.j.t.W&| -00000040 9c 54 18 28 34 10 c4 17 aa 4c 55 cf 99 aa e9 39 |.T.(4....LU....9| -00000050 48 ef 71 30 8a 45 b3 f3 12 34 83 |H.q0.E...4.| +00000000 14 03 03 00 01 01 16 03 03 00 50 f5 0e 68 21 e9 |..........P..h!.| +00000010 99 f9 aa 73 7a 9e 88 aa 28 ae 96 52 9a b6 34 f3 |...sz...(..R..4.| +00000020 8f ab af a9 cc 51 e0 d4 e8 49 0a 5d fe 3d 72 0f |.....Q...I.].=r.| +00000030 c8 db f1 f5 54 6e 55 fd be 42 7a de 3f 98 e2 68 |....TnU..Bz.?..h| +00000040 7c b4 f9 f3 c3 bb f3 68 24 3a 65 b3 1c ee 40 1a ||......h$:e...@.| +00000050 31 1a 53 a0 46 10 d6 eb 67 0c b5 |1.S.F...g..| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 4a e8 79 05 ad 25 89 2b 98 44 f7 |.....J.y..%.+.D.| -00000020 59 bd 9b 28 8d 62 5c c0 21 68 e0 df d8 4c 0c e1 |Y..(.b\.!h...L..| -00000030 4a 01 35 b3 be 10 57 6c dc 10 46 10 0b fe c2 36 |J.5...Wl..F....6| -00000040 d5 ab 32 f9 58 15 03 03 00 40 00 00 00 00 00 00 |..2.X....@......| -00000050 00 00 00 00 00 00 00 00 00 00 00 0d 43 f0 d6 8a |............C...| -00000060 1e 3a 0d 9f e1 f7 ab 92 59 f0 a9 6c 46 07 a9 5a |.:......Y..lF..Z| -00000070 50 1c 6f ee b8 4a a0 08 3e 48 d1 53 e4 70 38 75 |P.o..J..>H.S.p8u| -00000080 e2 7a 87 0d e6 a1 4a ef 8d 6f |.z....J..o| +00000010 00 00 00 00 00 57 02 39 eb bd 0e 01 ab 6a 88 51 |.....W.9.....j.Q| +00000020 bd a2 8c 0e 42 53 87 22 17 89 a3 0d 05 c5 22 9a |....BS."......".| +00000030 83 0c c6 dc ad fa 1b af 1e 26 8b 27 e3 2d ca 59 |.........&.'.-.Y| +00000040 c8 b8 13 ef 66 15 03 03 00 40 00 00 00 00 00 00 |....f....@......| +00000050 00 00 00 00 00 00 00 00 00 00 d4 57 6d 22 b1 f2 |...........Wm"..| +00000060 cd 39 c6 2f bc 6e a4 6b 31 2b e7 4c 86 fe e0 60 |.9./.n.k1+.L...`| +00000070 de 33 67 bd 3f cd 3d 74 7f a8 d6 d6 3e 7a 12 d0 |.3g.?.=t....>z..| +00000080 29 63 1c 58 a1 1b 89 a7 d8 a9 |)c.X......| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 index 2ed941ef354..71faeb0c594 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 @@ -14,11 +14,11 @@ 000000c0 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| 000000d0 90 99 5f 58 cb 3b 74 |.._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 91 3f 60 de 20 |....Y...U...?`. | -00000010 ee 5c 8e 43 34 33 f7 d2 d1 c6 c9 40 09 3c 90 23 |.\.C43.....@.<.#| -00000020 20 07 8f 7e 0c 7d 0c 80 20 a7 db 20 15 e7 0b 06 | ..~.}.. .. ....| -00000030 fe 0b a2 6e a2 26 24 42 81 89 10 71 6a cc 35 fe |...n.&$B...qj.5.| -00000040 c3 d8 4a 69 e8 a2 6a ce 84 2b d9 34 cc a8 00 00 |..Ji..j..+.4....| +00000000 16 03 03 00 59 02 00 00 55 03 03 ed 44 14 5d d6 |....Y...U...D.].| +00000010 a6 31 97 a1 ac 21 23 b0 df 92 06 2e 49 be a0 f4 |.1...!#.....I...| +00000020 a3 78 82 1d 9a bc 27 01 3a 69 1b 20 93 d6 29 31 |.x....'.:i. ..)1| +00000030 22 d0 80 37 1c df 5d 94 80 59 d4 fe 06 6f 0b 4b |"..7..]..Y...o.K| +00000040 58 44 11 60 84 cb b6 57 c5 b1 a6 83 cc a8 00 00 |XD.`...W........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -58,31 +58,31 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 15 e5 a9 7c 39 6f 70 |........ ...|9op| -000002d0 18 dc e4 cb ed 63 ec e7 9d 30 7b 15 68 3e 12 84 |.....c...0{.h>..| -000002e0 f3 ff b5 10 18 32 fd 28 11 08 04 00 80 ae a6 35 |.....2.(.......5| -000002f0 31 64 8d 41 1e e2 a0 3c 5a 99 59 bd 97 63 5d 5d |1d.A....4..| +00000320 79 32 cd 7b 04 67 25 49 21 68 d1 1a 84 02 33 f6 |y2.{.g%I!h....3.| +00000330 55 b0 00 db 50 c6 e2 ca 35 98 6d 58 13 79 a4 c4 |U...P...5.mX.y..| +00000340 ee 63 ab d4 da 73 31 65 98 72 e9 0a 06 1b 38 31 |.c...s1e.r....81| +00000350 ba 1b b6 f5 fa 30 05 25 6a 81 ad b2 c6 57 ee 5a |.....0.%j....W.Z| +00000360 e2 50 8e 22 22 a6 d9 4e 94 78 06 04 83 16 03 03 |.P.""..N.x......| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 7e b7 54 62 08 67 49 12 b1 25 03 |.... ~.Tb.gI..%.| -00000040 ea b7 c4 f6 09 f8 d7 c9 8e e4 c6 80 d9 6c bb 5b |.............l.[| -00000050 ed 20 0d f1 ff |. ...| +00000030 16 03 03 00 20 4d 7a f4 fd 1f fd 40 cb 21 f5 1a |.... Mz....@.!..| +00000040 db 9f ed 50 11 81 12 25 98 9b 0c 6f a3 5f f0 f4 |...P...%...o._..| +00000050 02 41 6a 90 a2 |.Aj..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 83 a2 82 90 fe |.......... .....| -00000010 5c 43 b5 25 4f c7 c8 42 25 b5 bb b5 7e ae 83 60 |\C.%O..B%...~..`| -00000020 07 2f 09 f0 48 63 69 2a ee 72 c9 |./..Hci*.r.| +00000000 14 03 03 00 01 01 16 03 03 00 20 f0 dc 6a 58 ad |.......... ..jX.| +00000010 17 ab eb 32 4c 96 ab b7 f0 8c db 07 46 56 23 eb |...2L.......FV#.| +00000020 e3 df 4f 9d 7a b9 84 b3 3c fe 76 |..O.z...<.v| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 c3 05 73 7e a9 35 3d ef 66 26 72 |.......s~.5=.f&r| -00000010 0e ad e9 40 8e b5 a7 ee 6e 0a d1 15 03 03 00 12 |...@....n.......| -00000020 13 b0 f3 78 da 32 72 69 17 53 f0 1b dc 68 4c 02 |...x.2ri.S...hL.| -00000030 d9 06 |..| +00000000 17 03 03 00 16 50 d3 e2 da bd 4f ab 95 a6 7a f8 |.....P....O...z.| +00000010 85 ce 90 dc 67 8c ab b9 a3 e6 00 15 03 03 00 12 |....g...........| +00000020 23 9c 52 ef e4 8e 0b 1c f0 14 71 30 44 a2 32 68 |#.R.......q0D.2h| +00000030 23 4a |#J| diff --git a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 index 4ae46b70111..713b94201e9 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 55 48 cb ac 75 |....Y...U..UH..u| -00000010 fc 41 56 c6 68 b6 79 ee d5 26 cd e5 53 c3 d0 a2 |.AV.h.y..&..S...| -00000020 c6 41 e2 82 44 ff ab 6a e1 45 2b 20 5c ad 6a 2d |.A..D..j.E+ \.j-| -00000030 71 5e 75 5d fb a3 a9 83 60 be 6e 63 b9 ee ab d3 |q^u]....`.nc....| -00000040 a9 ba 94 78 32 e2 9c 4a e0 f6 b3 20 cc a9 00 00 |...x2..J... ....| +00000000 16 03 03 00 59 02 00 00 55 03 03 06 f3 d3 1c f3 |....Y...U.......| +00000010 d7 26 df ed a5 75 b2 92 88 a2 bb 87 61 68 21 52 |.&...u......ah!R| +00000020 88 29 0e 6f e0 e8 4d f4 d0 c3 0f 20 7b 8e 65 96 |.).o..M.... {.e.| +00000030 ae 50 cd 41 5b b8 6f 72 db 8b 3a cc 5c 83 af 43 |.P.A[.or..:.\..C| +00000040 a4 af c3 81 d2 c8 aa 94 8a e6 9f 4d cc a9 00 00 |...........M....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 01 3c 0b 00 01 38 00 01 35 00 01 32 30 82 01 |..<...8..5..20..| 00000070 2e 30 81 e1 a0 03 02 01 02 02 10 0f 43 1c 42 57 |.0..........C.BW| @@ -43,27 +43,27 @@ 00000170 90 95 39 e5 0d c1 55 ff 2c 16 b7 1d fc ab 7d 4d |..9...U.,.....}M| 00000180 d4 e0 93 13 d0 a9 42 e0 b6 6b fe 5d 67 48 d7 9f |......B..k.]gH..| 00000190 50 bc 6c cd 4b 03 83 7c f2 08 58 cd ac cf 0c 16 |P.l.K..|..X.....| -000001a0 03 03 00 6c 0c 00 00 68 03 00 1d 20 3a 1c 14 71 |...l...h... :..q| -000001b0 3c 43 4d 94 67 1a db 7e 1c f9 f8 a9 00 45 cc 65 |>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 f4 ef 2f 54 9b e0 8d 2d 13 02 4b |.... ../T...-..K| -00000040 f3 b0 6e 05 a8 76 d8 63 88 89 c2 8d 0e cf d6 47 |..n..v.c.......G| -00000050 d3 c4 66 78 0f |..fx.| +00000030 16 03 03 00 20 9b a6 e1 d7 2e 41 37 42 d8 d8 e4 |.... .....A7B...| +00000040 ec 58 cc c1 cf 63 fa 21 4b 54 35 2e 86 97 78 72 |.X...c.!KT5...xr| +00000050 f5 2b 22 2e e6 |.+"..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 72 67 89 ea ca |.......... rg...| -00000010 40 19 13 75 e6 48 0f d5 7f d1 5d ca dc e8 9e ec |@..u.H....].....| -00000020 cf fb 6f ca ff af 98 7e 44 1f 76 |..o....~D.v| +00000000 14 03 03 00 01 01 16 03 03 00 20 da 7f b0 8d 95 |.......... .....| +00000010 63 60 58 83 80 23 87 8a bc 15 88 58 62 1e 09 77 |c`X..#.....Xb..w| +00000020 12 82 e8 1f 91 c6 68 fa 3d a5 0d |......h.=..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 e1 f5 33 a5 1c 43 19 3d f3 81 58 |.......3..C.=..X| -00000010 f6 9f d7 78 02 a5 38 85 f7 2f 18 15 03 03 00 12 |...x..8../......| -00000020 9c 17 76 2c 14 a8 95 d5 d5 b1 12 8c 4e f4 67 c8 |..v,........N.g.| -00000030 a0 ab |..| +00000000 17 03 03 00 16 51 7a af 68 6c ac 18 1d 53 9c ad |.....Qz.hl...S..| +00000010 ed 16 10 c8 68 80 57 5c c9 67 c5 15 03 03 00 12 |....h.W\.g......| +00000020 05 fa 7e bf 39 fe 34 e0 cd 6d d7 ca eb 78 fc 82 |..~.9.4..m...x..| +00000030 5e 29 |^)| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial index 634021f68f3..bb3a404b850 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 f0 83 cf b7 62 |....Y...U......b| -00000010 11 58 de a6 6e 72 91 6a 3f 64 14 b7 cd 7a af aa |.X..nr.j?d...z..| -00000020 e3 43 19 6e a4 19 b0 de dc c0 c1 20 8f 57 36 30 |.C.n....... .W60| -00000030 e0 0e 57 0a 6b 00 7a fa d0 5a 07 9c ca 46 a2 53 |..W.k.z..Z...F.S| -00000040 8c 6f 65 6c 74 10 f2 49 82 cc 83 7d cc a8 00 00 |.oelt..I...}....| +00000000 16 03 03 00 59 02 00 00 55 03 03 8b 05 27 f4 0b |....Y...U....'..| +00000010 1b 36 27 86 c7 68 89 cf 1d 63 f7 31 af 2a 5b cc |.6'..h...c.1.*[.| +00000020 03 27 21 fb ae 28 9c 03 46 a2 52 20 cb d5 49 da |.'!..(..F.R ..I.| +00000030 49 59 8d 54 70 60 c8 33 23 83 62 90 8f b5 7b 7f |IY.Tp`.3#.b...{.| +00000040 79 23 d9 33 63 13 4b fa 75 b8 63 83 cc a8 00 00 |y#.3c.K.u.c.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,31 +61,31 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 49 ee 57 e9 f1 47 28 |........ I.W..G(| -000002d0 e2 91 48 2f ac 69 d5 2c 4f 43 a6 04 44 0c d7 f5 |..H/.i.,OC..D...| -000002e0 6f 72 66 17 33 de be 02 03 08 04 00 80 23 cd 82 |orf.3........#..| -000002f0 ee 92 55 b9 49 75 8e 54 37 29 8b 76 1d 54 f1 87 |..U.Iu.T7).v.T..| -00000300 5e 8e a8 60 5e 33 f1 b8 02 e4 a5 f3 3e db 4a bb |^..`^3......>.J.| -00000310 db a5 7c f4 3e e3 b3 76 d5 c6 1d c5 a4 97 9e 44 |..|.>..v.......D| -00000320 8b 3e 1c e2 9b 43 d1 fa 19 85 d3 37 54 4a 04 19 |.>...C.....7TJ..| -00000330 81 e8 b0 b9 84 73 6c 4c fb d3 82 99 2c 54 f0 33 |.....slL....,T.3| -00000340 a2 01 e2 d6 c3 3c ed 2a da 7a 30 09 a2 d0 66 f5 |.....<.*.z0...f.| -00000350 e7 82 c4 a1 a3 5e 7d 4e 72 10 fd 00 f3 e6 ce a8 |.....^}Nr.......| -00000360 9b a0 28 7f 09 71 ac 59 4f 74 c3 29 c4 16 03 03 |..(..q.YOt.)....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 9e 6b 5a f3 8e e8 da |........ .kZ....| +000002d0 84 2f b7 ba 2e 43 6b 97 e0 4a 48 36 fc c2 d0 ef |./...Ck..JH6....| +000002e0 e6 d8 36 7c 24 66 82 f7 18 08 04 00 80 1f 2f dd |..6|$f......../.| +000002f0 04 01 58 b5 8b d0 3a bf d9 05 6c 6f c9 23 84 87 |..X...:...lo.#..| +00000300 a7 fe 81 23 a1 fc 66 d4 4c 71 cd 5e 1f d3 c9 30 |...#..f.Lq.^...0| +00000310 24 1e 13 e4 02 f6 d7 70 15 ff 1b 5c 20 34 35 25 |$......p...\ 45%| +00000320 12 11 7f 78 64 cc e3 d8 d9 f9 70 46 48 bd 1d 92 |...xd.....pFH...| +00000330 a4 86 f5 72 f2 13 74 32 2a ad 29 fe b6 c0 f2 36 |...r..t2*.)....6| +00000340 84 0b de 7a 2d 4f a8 6d 4e 5c 55 3f 1e 22 f5 64 |...z-O.mN\U?.".d| +00000350 05 69 e5 ca 88 48 f2 a9 08 f8 44 94 f7 09 3e 26 |.i...H....D...>&| +00000360 dd fe 56 57 1b 10 23 4b 0e cf dc c5 1b 16 03 03 |..VW..#K........| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 87 8e 79 76 34 a4 fa 6d d1 df c4 |.... ..yv4..m...| -00000040 f9 92 84 69 3f 54 d4 8c 8f 40 d2 9a 4f 6f 27 9a |...i?T...@..Oo'.| -00000050 79 06 45 18 84 |y.E..| +00000030 16 03 03 00 20 83 e8 b4 2c 5e a4 a7 c1 7c c5 04 |.... ...,^...|..| +00000040 8b 59 a7 26 00 af 4b a9 fe eb dd 17 a5 22 bc fc |.Y.&..K......"..| +00000050 e1 0c cf cf a5 |.....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 b2 bd f9 2f 1d |.......... .../.| -00000010 ae e3 50 40 42 1a 56 46 0d e2 1c b6 26 f8 d3 5a |..P@B.VF....&..Z| -00000020 e8 38 05 50 d6 a8 98 49 66 a0 db |.8.P...If..| +00000000 14 03 03 00 01 01 16 03 03 00 20 60 50 99 2c 18 |.......... `P.,.| +00000010 62 e2 2c 6a d6 33 77 0c b6 bc 6d 4e 22 1c 1d cc |b.,j.3w...mN"...| +00000020 9f 81 4e fb 72 1f 30 e6 49 e0 ef |..N.r.0.I..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 c1 5b 9b d3 1b 25 29 69 ae 4d bd |......[...%)i.M.| -00000010 ac 5b 31 a8 f1 7d ec 75 cf 83 3e 15 03 03 00 12 |.[1..}.u..>.....| -00000020 fd bc 64 b2 6d 94 94 bc bb d9 1b 80 8b 1b ed 65 |..d.m..........e| -00000030 3e 75 |>u| +00000000 17 03 03 00 16 b0 32 cb f3 89 70 d1 aa 23 83 ca |......2...p..#..| +00000010 40 60 cd 11 7a 4a 2e 1a 1a 43 6a 15 03 03 00 12 |@`..zJ...Cj.....| +00000020 11 8b fc d6 39 40 0d 5d 2a cb 06 51 85 43 ff 70 |....9@.]*..Q.C.p| +00000030 f1 f0 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 index e97646781c6..8ab8bbbe839 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 dd b4 cf c2 91 |....Q...M.......| -00000010 35 24 cf 39 3e 28 53 6d 2b 5e b2 1c 07 62 13 12 |5$.9>(Sm+^...b..| -00000020 96 4a 93 04 4e d8 57 06 19 82 3d 20 90 01 a5 5e |.J..N.W...= ...^| -00000030 6b 82 cd e3 5e 3e 7f ae 20 f9 a2 de bb 4a 85 76 |k...^>.. ....J.v| -00000040 b5 9c cb c0 35 24 09 45 94 b9 fe 91 00 05 00 00 |....5$.E........| +00000000 16 03 03 00 51 02 00 00 4d 03 03 ae fd 78 5f e5 |....Q...M....x_.| +00000010 77 73 19 b9 3b 45 60 f1 0f c5 c3 53 cb 07 4b c0 |ws..;E`....S..K.| +00000020 a6 77 43 6c 57 0f 2d 31 49 26 85 20 9a e2 99 3f |.wClW.-1I&. ...?| +00000030 07 7d 7d e4 b6 67 fe f1 e3 d1 26 b2 25 00 0c e3 |.}}..g....&.%...| +00000040 1f 94 75 fb af b5 77 81 e6 cd 9c cb 00 05 00 00 |..u...w.........| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 24 ac 09 ef a7 76 d1 2c 3c 77 77 |.....$....v.,>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 24 ae 29 50 f2 70 |..........$.)P.p| -00000010 08 92 36 3e 27 3a 9f 27 cd 41 c8 15 41 06 76 58 |..6>':.'.A..A.vX| -00000020 c4 fa 64 dd 7e 2a 19 a8 a3 23 56 12 a2 d6 98 |..d.~*...#V....| +00000000 14 03 03 00 01 01 16 03 03 00 24 1c 13 dd 41 5e |..........$...A^| +00000010 79 bf c1 c2 5c 51 1e 7d 17 34 70 67 12 b6 e3 97 |y...\Q.}.4pg....| +00000020 98 1f 54 a2 ea f4 7b 0d 29 39 85 a0 74 fb c2 |..T...{.)9..t..| >>> Flow 5 (client to server) -00000000 17 03 03 00 1a ba be e9 bf ca e9 5c a3 65 f6 44 |...........\.e.D| -00000010 ac f9 6c 9b 7e 6f a1 12 20 6a 1c ec d7 ca 9a 15 |..l.~o.. j......| -00000020 03 03 00 16 ed 44 2b 48 31 04 f8 c2 2e 83 19 db |.....D+H1.......| -00000030 c9 86 db e5 ff 71 43 28 c0 52 |.....qC(.R| +00000000 17 03 03 00 1a eb 36 d8 0f 6a 4a 07 18 bd 1a b4 |......6..jJ.....| +00000010 a8 ce b0 b3 12 72 ac e6 d7 73 f6 70 c5 82 87 15 |.....r...s.p....| +00000020 03 03 00 16 d2 13 f2 6f 4e a0 82 bf 8c 34 2c ba |.......oN....4,.| +00000030 99 36 cc c3 b4 2e f8 2a d0 23 |.6.....*.#| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce index 00fa1877291..ab059a0a76d 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 69 5b d6 1c 07 |....Y...U..i[...| -00000010 3e b0 ef 93 22 db b6 b0 be 8d 49 3d 8c 56 99 b3 |>...".....I=.V..| -00000020 0f b5 42 ae ce e1 33 1d ce ef 9b 20 95 1c c8 b6 |..B...3.... ....| -00000030 e9 07 06 f5 f2 2a 0d 16 b5 3e 80 2c e9 31 77 12 |.....*...>.,.1w.| -00000040 d8 48 ad c2 93 99 33 06 af fb 01 b7 cc a8 00 00 |.H....3.........| +00000000 16 03 03 00 59 02 00 00 55 03 03 7e ce 3d f6 52 |....Y...U..~.=.R| +00000010 f4 96 b3 c0 84 08 2f 1e ca ec 03 1f 41 7f cf 1e |....../.....A...| +00000020 54 b3 85 b5 57 1c fc 40 77 03 c3 20 e5 89 ba d5 |T...W..@w.. ....| +00000030 20 10 55 f7 63 e6 95 be af dc 6f 29 4e 0b 2f 56 | .U.c.....o)N./V| +00000040 1e 38 62 78 24 cd 7b 75 84 a8 f7 56 cc a8 00 00 |.8bx$.{u...V....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,185 +61,185 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 db 93 0a f3 b3 d0 49 |........ ......I| -000002d0 cd 22 42 0b 9d 16 da 79 d9 bb 38 6f c0 ed 9a 08 |."B....y..8o....| -000002e0 5f 83 0d 10 2e f0 43 aa 7b 08 04 00 80 30 2d e9 |_.....C.{....0-.| -000002f0 78 a4 09 e2 9c fa 5d 2c c5 58 f5 48 65 95 81 e2 |x.....],.X.He...| -00000300 ac fd ba 50 59 a1 7c 7f d5 d0 fa 01 46 b0 77 bd |...PY.|.....F.w.| -00000310 c1 2b c8 2f bd dd d6 15 b2 89 9f 02 8b 62 32 65 |.+./.........b2e| -00000320 bd 1b 0c b6 dd 77 82 8e 17 2b e2 ca 6a 7e fa be |.....w...+..j~..| -00000330 8b ef f3 39 a5 99 86 41 50 25 10 24 94 0e 6f 06 |...9...AP%.$..o.| -00000340 53 94 2d 32 65 87 87 3e 12 6a 5b 8b 39 3a 59 61 |S.-2e..>.j[.9:Ya| -00000350 13 fc e5 ec 60 74 ac c5 e3 40 7f 65 a8 67 4d 4f |....`t...@.e.gMO| -00000360 98 bd 27 29 18 44 35 66 4b d6 2a f2 07 16 03 03 |..').D5fK.*.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 30 8e 06 e5 eb b6 bf |........ 0......| +000002d0 cd 0a a9 21 99 31 10 61 3f 8c d4 52 05 97 59 46 |...!.1.a?..R..YF| +000002e0 90 13 ff d7 5b 10 76 df 0f 08 04 00 80 6f 0c 79 |....[.v......o.y| +000002f0 5b 34 08 89 77 9f 53 a6 11 b4 97 ca 00 61 87 6e |[4..w.S......a.n| +00000300 23 22 90 de ef 7c ea b8 87 85 46 37 ec 21 b2 5c |#"...|....F7.!.\| +00000310 86 fc 9f 23 49 96 13 55 5c bb 59 71 6e dc 48 1a |...#I..U\.Yqn.H.| +00000320 91 9c 94 41 e0 14 4f db ca 05 56 80 82 29 4b 04 |...A..O...V..)K.| +00000330 88 75 5a ab f8 6b b2 39 9f f7 30 ec 08 6e f8 c5 |.uZ..k.9..0..n..| +00000340 24 82 c0 c2 b2 d6 ac 43 2c 02 02 7c 7a a0 98 b7 |$......C,..|z...| +00000350 77 55 97 8b 88 51 57 9e 9b 3e 6a dc 89 92 45 cc |wU...QW..>j...E.| +00000360 62 44 18 7c 33 43 d1 59 47 97 3e a1 9c 16 03 03 |bD.|3C.YG.>.....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 47 1a 8d 73 f7 84 4d db 44 e5 51 |.... G..s..M.D.Q| -00000040 89 f4 8f f8 76 b5 3c 4b b8 37 c0 24 8e 17 27 74 |....v.>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 7a 7d 1c 3c b2 |.......... z}.<.| -00000010 d5 b8 eb 49 cc e3 4c a3 ca cc fb 2d b7 8e e7 88 |...I..L....-....| -00000020 b6 de d9 3d 84 c9 35 d7 eb d4 84 |...=..5....| +00000000 14 03 03 00 01 01 16 03 03 00 20 64 4a ff 6b 60 |.......... dJ.k`| +00000010 46 16 66 3d 3c b1 af 5a 7d b8 48 37 25 f0 58 6d |F.f=<..Z}.H7%.Xm| +00000020 4e c3 a9 e3 19 b9 62 eb 34 68 8b |N.....b.4h.| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 73 ad 40 5d 92 f2 b0 95 0d 07 95 |.....s.@].......| -00000010 cd 8e 11 f6 1a 32 24 1e 6f df 9a |.....2$.o..| +00000000 17 03 03 00 16 91 b8 ed 51 a9 27 90 33 e1 69 99 |........Q.'.3.i.| +00000010 ad 9b 22 2f 2f 77 bb a0 b7 63 47 |.."//w...cG| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 f4 f5 12 05 bb 51 00 24 2f 3a 38 |..........Q.$/:8| -00000010 9b 07 9f d4 ee ce 77 59 ee |......wY.| +00000000 16 03 03 00 14 a2 ab ac 79 bc 79 15 9c 01 99 38 |........y.y....8| +00000010 68 4b 60 08 01 65 70 cc 14 |hK`..ep..| >>> Flow 7 (client to server) -00000000 16 03 03 01 18 d8 f1 5d f6 d5 7f fe b7 43 8e 0a |.......].....C..| -00000010 d7 77 2c 5e b5 83 f0 29 99 19 96 1d c8 42 e7 01 |.w,^...).....B..| -00000020 20 5d 4b af 0f e7 b5 b7 a0 83 68 59 eb b0 1a 85 | ]K.......hY....| -00000030 b1 c7 23 42 a7 77 f3 66 5e 6b 31 1d 49 60 4c ad |..#B.w.f^k1.I`L.| -00000040 db e5 f4 ca f3 62 6f 15 b6 25 28 07 03 50 d4 4b |.....bo..%(..P.K| -00000050 3a 6d 25 d6 35 c9 e5 06 04 c9 15 7a 52 05 13 d1 |:m%.5......zR...| -00000060 ee c8 fe 54 3b ae db fe 61 7f b1 97 4b 48 94 91 |...T;...a...KH..| -00000070 76 7c de 5d 9f da b5 04 fa 02 b6 f5 7b f9 82 c8 |v|.]........{...| -00000080 68 ab b9 97 4c b8 a1 6b 43 f9 a5 36 4c 52 fd 23 |h...L..kC..6LR.#| -00000090 7a 46 6b 25 67 55 e0 b8 4a cd 3f 7c fa 81 1e a8 |zFk%gU..J.?|....| -000000a0 e9 5a 6c 53 46 d9 05 46 c1 3f 84 94 c9 3a 7f fb |.ZlSF..F.?...:..| -000000b0 3c 03 c4 07 2f bb 5b 17 8f 0e fb 86 a4 53 26 0c |<.../.[......S&.| -000000c0 86 41 11 9d 49 b5 d9 30 84 07 59 fd ac 08 98 1e |.A..I..0..Y.....| -000000d0 08 f4 c9 32 36 9c 0f 9d b3 5a cd cf 80 d3 a8 4d |...26....Z.....M| -000000e0 12 ca a2 37 83 fd d2 f8 da ca 4a 1d 52 f4 99 49 |...7......J.R..I| -000000f0 4f 89 b5 de b3 90 f9 b4 e2 53 24 e5 f5 88 37 91 |O........S$...7.| -00000100 4b 5e 41 b9 a9 b4 72 d1 d2 ea 39 05 f1 25 12 da |K^A...r...9..%..| -00000110 c0 36 5c 2c 63 b1 34 cf f3 a0 bd 34 08 |.6\,c.4....4.| +00000000 16 03 03 01 18 77 9f b1 91 3b ea f3 82 60 1b 66 |.....w...;...`.f| +00000010 bf ed 95 11 bb c2 44 83 5f f6 68 31 b9 3f f5 aa |......D._.h1.?..| +00000020 c4 2d 61 6e 09 a9 52 fa 10 1d e5 2f da bd d5 74 |.-an..R..../...t| +00000030 aa 81 0f 89 50 c9 19 c2 57 0f fb 92 63 f1 5d 2e |....P...W...c.].| +00000040 b0 73 81 90 d4 13 87 0d ab 7f 44 23 34 c4 38 f9 |.s........D#4.8.| +00000050 ac 8d d6 f0 ea 19 00 c3 67 c9 cd bc 22 f1 89 e8 |........g..."...| +00000060 8d 51 9f e2 eb 2e f6 39 cb fd f1 8b 6c 72 d8 c5 |.Q.....9....lr..| +00000070 d5 69 6a d3 06 87 63 61 f6 47 1e 66 f8 28 8b 71 |.ij...ca.G.f.(.q| +00000080 8a a5 82 87 b5 6b 90 19 cb 28 86 41 cc ce ec 7d |.....k...(.A...}| +00000090 bd d2 4c 24 f3 27 93 e4 2c 68 13 3e 13 18 75 12 |..L$.'..,h.>..u.| +000000a0 52 93 75 44 18 d6 b8 a8 c1 7b 17 ab 12 e2 6a cd |R.uD.....{....j.| +000000b0 c8 be c1 d0 53 bb df 5f 14 c4 67 e0 eb 8d 4f dc |....S.._..g...O.| +000000c0 b1 df 64 d8 fa ad 8d 08 77 e8 75 80 dd 8e be 53 |..d.....w.u....S| +000000d0 fc 24 7a 54 e6 b7 54 4e 6d b3 4e 91 1f b7 aa f1 |.$zT..TNm.N.....| +000000e0 48 77 92 88 00 cf 4c ae 95 e3 fb ec 2f 62 4f 4c |Hw....L...../bOL| +000000f0 22 3d 8f 60 1c 7d ec 1b 7e 91 d4 d4 b0 67 7c ea |"=.`.}..~....g|.| +00000100 8b c5 06 11 0e e9 2f dc 93 15 f1 37 a8 55 3f b2 |....../....7.U?.| +00000110 af ce a0 00 1e 70 71 98 d4 69 03 f8 cd |.....pq..i...| >>> Flow 8 (server to client) -00000000 16 03 03 00 81 15 a5 6e 6f 6a 9e a9 10 78 36 70 |.......noj...x6p| -00000010 5d 4c a5 31 6d 68 25 78 d2 38 a9 6b 91 a4 c3 ad |]L.1mh%x.8.k....| -00000020 3b e7 09 16 06 33 b0 8e 26 f9 d3 f2 69 0f 45 c7 |;....3..&...i.E.| -00000030 fb 62 0b af 33 03 f3 f4 30 db b5 47 9e 3d 5e 4c |.b..3...0..G.=^L| -00000040 57 f5 df 2d 01 61 b5 bb 05 b2 f6 2c 8c 10 1d 6c |W..-.a.....,...l| -00000050 de d8 5b 8d 3b 97 eb d7 47 85 03 e6 70 2d 52 e2 |..[.;...G...p-R.| -00000060 2c d0 68 1f 1a c9 a6 32 9a e3 6a 13 5f 4a be dd |,.h....2..j._J..| -00000070 d0 a1 73 b4 8a d8 b8 f0 a5 88 32 67 b9 42 33 88 |..s.......2g.B3.| -00000080 14 0a c1 6a 06 6f 16 03 03 02 69 8d 31 02 ed 53 |...j.o....i.1..S| -00000090 15 33 3e be 26 2b d5 2b b4 1a cf 1f 59 2d 70 eb |.3>.&+.+....Y-p.| -000000a0 ec b3 e1 9e e6 67 ec 7d 97 44 d4 b1 9a 01 ba 7f |.....g.}.D......| -000000b0 a8 e0 f9 ef 6f 92 fe 43 62 36 07 b8 42 8e a5 88 |....o..Cb6..B...| -000000c0 90 8c 17 7f a3 8d 71 04 97 38 1c 21 3b 0f 44 bd |......q..8.!;.D.| -000000d0 c7 aa 63 50 3b 8c 2e 8b 93 cd 7a 2e b7 ee 21 8a |..cP;.....z...!.| -000000e0 44 84 28 11 62 8e ab bd df 37 07 81 d9 bc 82 76 |D.(.b....7.....v| -000000f0 a2 8d 88 c4 63 2f 35 85 c6 39 ae c2 03 95 11 76 |....c/5..9.....v| -00000100 f0 c2 8e f1 af 75 cf 6c b4 55 19 95 fc 4d b0 54 |.....u.l.U...M.T| -00000110 68 de 68 fe 5e c8 56 33 ed fc 32 21 ba 28 44 a5 |h.h.^.V3..2!.(D.| -00000120 05 47 3b 2f 9f 81 f8 ef bc b8 9d 0b 89 a7 e9 52 |.G;/...........R| -00000130 f0 c0 ab 2f aa f5 95 90 d9 45 24 6a 44 31 22 0d |.../.....E$jD1".| -00000140 14 26 17 7c 28 b8 80 4c 54 34 72 2f 04 a0 0d 27 |.&.|(..LT4r/...'| -00000150 d8 48 cb c7 a9 4d 52 36 1a c2 05 a8 cc c2 1f 1f |.H...MR6........| -00000160 52 2c ee 0a 75 21 08 2d 52 6a a4 07 ac f5 6d 47 |R,..u!.-Rj....mG| -00000170 9d a5 28 95 c5 3f 33 11 07 95 ee 8c 2b 7d 24 08 |..(..?3.....+}$.| -00000180 f4 da fd 54 c0 3f 6c b8 bd 02 d6 34 2a 33 05 0c |...T.?l....4*3..| -00000190 2f 81 6f fa c0 84 43 6d 13 9d 96 b3 19 41 67 78 |/.o...Cm.....Agx| -000001a0 3c 8a 1e b1 15 9c 01 e6 b5 e0 af ec c5 3c c0 7d |<............<.}| 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32 12 68 2c 60 39 c2 70 8c |.......2.h,`9.p.| +00000010 0c ba b0 a9 64 84 16 03 03 00 20 a8 74 8d 64 80 |....d..... .t.d.| +00000020 9e 60 54 07 77 4d d8 7b 0a 44 11 99 01 4e c4 b3 |.`T.wM.{.D...N..| +00000030 fd a2 e9 75 cb b8 c3 7d a2 7b 61 17 03 03 00 19 |...u...}.{a.....| +00000040 a2 be ab 94 c8 32 fd 8d f4 ed c2 d7 2a db 74 3c |.....2......*.t<| +00000050 f3 f5 ab 7f 2b 1c 0c 06 b3 |....+....| >>> Flow 11 (client to server) -00000000 15 03 03 00 12 18 50 20 aa 14 12 a5 c4 47 8c 35 |......P .....G.5| -00000010 bd a0 2c aa 94 56 29 |..,..V)| +00000000 15 03 03 00 12 22 52 69 40 7a e5 af 10 74 34 bf |....."Ri@z...t4.| +00000010 00 a4 be 30 a0 cf 06 |...0...| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice index 5c362194710..71fd2370637 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 9f 07 9c 60 cb |....Y...U.....`.| -00000010 16 fd ae cc 36 c7 a6 ef 4f 3d 0c 91 7e 7e d2 93 |....6...O=..~~..| -00000020 cf bb f7 06 6f 9e a7 30 ff 33 b6 20 af 89 68 f5 |....o..0.3. ..h.| -00000030 c3 d1 ce 72 68 9b ec 62 ef 71 55 26 f2 b6 a6 a6 |...rh..b.qU&....| -00000040 56 30 ac f5 70 d2 14 2b a6 bc fc 40 cc a8 00 00 |V0..p..+...@....| +00000000 16 03 03 00 59 02 00 00 55 03 03 79 18 48 18 02 |....Y...U..y.H..| +00000010 5d af 7f 08 1b e7 8f 54 47 07 f8 b7 3e a2 93 60 |]......TG...>..`| +00000020 e9 c8 28 1f 5a 94 47 b4 5c 63 ed 20 5b e4 15 a9 |..(.Z.G.\c. [...| +00000030 22 f0 6e 85 b1 b3 9a 20 25 32 dd 5a a2 9d 9c 43 |".n.... %2.Z...C| +00000040 a6 08 74 5e 27 ff e5 00 a9 17 04 7a cc a8 00 00 |..t^'......z....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,284 +61,284 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 4c d2 95 89 27 95 af |........ L...'..| -000002d0 74 14 e7 ac a8 37 f0 30 ef d5 90 fd 92 46 5c 8b |t....7.0.....F\.| -000002e0 71 8a 65 c7 07 cf 2d 62 63 08 04 00 80 0e 92 28 |q.e...-bc......(| -000002f0 07 eb f5 05 5b 4c 7e 2a fe b6 66 c9 77 80 1f c7 |....[L~*..f.w...| -00000300 ba 60 b5 74 87 b3 a3 62 ff 78 c9 f3 2f ed 10 9b |.`.t...b.x../...| -00000310 5a 3c 6a 3b 56 6e 08 ac c1 f4 bd 9c 79 93 e7 ba |Z<.6....<.| +00000350 5b a5 86 81 c3 d4 b7 78 21 80 ff e5 c1 68 bd 4f |[......x!....h.O| +00000360 9e d5 9b 11 37 fe aa ed 17 fc 5e ce 89 16 03 03 |....7.....^.....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 e4 b4 16 c4 13 f0 ab 73 36 9d 1e |.... .......s6..| -00000040 64 a1 2b 5d b3 25 b9 ab 02 44 5b 92 d5 e5 82 b5 |d.+].%...D[.....| -00000050 b0 62 24 e2 dd |.b$..| +00000030 16 03 03 00 20 ef 2f 12 e6 dd 43 33 37 24 fc 47 |.... ./...C37$.G| +00000040 cd 60 61 06 a5 ff 54 cf 37 86 94 62 eb f4 29 8d |.`a...T.7..b..).| +00000050 bf fa 61 6e 01 |..an.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 ab 7d 20 65 58 |.......... .} eX| -00000010 0a 5a ed 89 2b 00 3f 6a d6 b7 40 52 b4 5a 66 22 |.Z..+.?j..@R.Zf"| -00000020 db 2f cf 04 b5 93 ea 26 34 96 4c |./.....&4.L| +00000000 14 03 03 00 01 01 16 03 03 00 20 37 25 26 ca a2 |.......... 7%&..| +00000010 80 4e be 20 87 59 5b 13 e4 a2 ce 27 b3 e5 19 2d |.N. .Y[....'...-| +00000020 06 0a ed 9a 59 cd c5 f3 3e fc 2b |....Y...>.+| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 67 8a 7b 23 55 d0 f9 a3 d7 25 5c |.....g.{#U....%\| -00000010 5f 8a 2b a3 84 8c 67 5f 6f 84 ed |_.+...g_o..| +00000000 17 03 03 00 16 95 4a 52 79 2f 83 79 0b bd fd 07 |......JRy/.y....| +00000010 3a b0 3a 53 9d 92 51 56 81 ca db |:.:S..QV...| >>> Flow 6 (server to client) -00000000 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d8 82 5b 4e f3 8c 75 f4 |?.8.......[N..u.| -000000a0 5b 25 ed 24 9b 9d 7a 72 fe b4 6b 0f 2f cc 15 91 |[%.$..zr..k./...| -000000b0 9c 16 09 0c 62 af 1b fd b8 64 c4 8f a8 17 4c 38 |....b....d....L8| -000000c0 1d db e0 f5 f0 2b 84 e3 de 49 d4 53 3a 0f 99 04 |.....+...I.S:...| -000000d0 61 17 31 c1 98 da 57 27 ed 7b d3 2c 68 b7 17 2a |a.1...W'.{.,h..*| -000000e0 46 e7 db f4 0d 09 14 af bc 4e dc 2f 06 53 19 a0 |F........N./.S..| -000000f0 41 68 4d 88 df d7 f8 de 5d 19 53 3c bd 32 65 b7 |AhM.....].S<.2e.| -00000100 be 0e 93 8c 69 0d cd 62 19 85 46 da de 4d 66 c1 |....i..b..F..Mf.| -00000110 47 c7 97 09 1a 38 47 e1 61 19 68 a1 ac |G....8G.a.h..| +00000000 16 03 03 01 18 e4 cc e6 93 6b e2 dd f7 97 dd 1c |.........k......| +00000010 fd af b0 f2 85 65 3d ec a2 e3 0c 53 b9 1b be d6 |.....e=....S....| +00000020 05 ef 9e ff 99 fc d6 13 6c b3 0f 84 21 12 50 f8 |........l...!.P.| +00000030 88 ce 3b 4e fc e1 35 d6 64 91 d9 e4 70 88 41 61 |..;N..5.d...p.Aa| +00000040 71 1b 67 1d 38 81 bc ed 75 ed b3 a7 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|.....8.m....Y.v.| -000001d0 7b d4 95 cf b6 82 e6 ce 51 43 a0 78 42 c4 c7 27 |{.......QC.xB..'| -000001e0 12 1c 60 f1 1b c5 cb 57 f3 98 cc c4 77 1b 8b c1 |..`....W....w...| -000001f0 14 da 2c c2 9e 16 bb 32 0b f9 1b ff 93 c3 aa b5 |..,....2........| -00000200 e9 14 d3 bd 74 10 86 a4 4f 83 fe a6 b9 57 2a d8 |....t...O....W*.| -00000210 a9 5f a1 a5 7a f2 d3 40 49 ce 29 da 4e b5 45 8c |._..z..@I.).N.E.| -00000220 45 5d c4 86 39 59 22 39 56 59 41 65 a0 e9 e8 11 |E]..9Y"9VYAe....| -00000230 d1 84 8f ec b0 f9 8e 7a 22 d3 25 fb 73 22 e8 f3 |.......z".%.s"..| -00000240 09 0d 38 32 f4 33 56 89 9d ea 2a 41 36 56 7d 16 |..82.3V...*A6V}.| -00000250 8e 38 c3 52 63 0c fe f2 52 99 d7 27 e4 d8 af bb |.8.Rc...R..'....| -00000260 35 d6 35 fc f1 18 93 9d 74 d7 60 b9 c1 ab 43 80 |5.5.....t.`...C.| -00000270 78 88 7a 95 cc 11 d8 81 ea 61 56 f4 de f5 7a 3d |x.z......aV...z=| -00000280 d4 4d d7 a3 d7 6a 82 8d 0f 50 ed 2b 57 1b 02 d9 |.M...j...P.+W...| -00000290 76 a4 18 10 9d 3a 73 e7 b0 bd e9 5c 82 e9 3b 70 |v....:s....\..;p| -000002a0 af f4 91 1c 54 21 66 4f 9d e1 b7 43 8f a5 04 f8 |....T!fO...C....| -000002b0 39 45 77 32 64 10 50 42 3a 14 27 95 d8 99 68 c6 |9Ew2d.PB:.'...h.| -000002c0 0d 55 d9 fe 1d c3 f1 da 63 52 45 9e f3 fb 0f 55 |.U......cRE....U| -000002d0 05 3f d1 22 df c6 37 5c d0 0b 23 cf ea 4b 40 ab |.?."..7\..#..K@.| -000002e0 9f 73 d2 42 21 d5 d6 ce 71 e8 4c 89 2f 7d 6f 61 |.s.B!...q.L./}oa| -000002f0 35 e5 bf 8a 16 03 03 00 bc 45 ce 3e de 85 da 7e |5........E.>...~| -00000300 01 f5 4a 2e af b9 02 86 72 fb 1b 89 c5 60 b6 22 |..J.....r....`."| -00000310 9f 8b a9 e1 6c 0f 31 a0 95 21 21 62 e7 f5 ef 3f |....l.1..!!b...?| -00000320 b2 61 78 5e a8 f2 81 be 62 e0 ea 59 2e 91 c6 7c |.ax^....b..Y...|| -00000330 34 4b 94 fb d4 3c d9 b4 6a e7 ec bf 8c 71 ea 3b |4K...<..j....q.;| -00000340 0e 0f a0 0e 97 49 70 bd 57 92 8d 6c e8 f8 f8 cd |.....Ip.W..l....| -00000350 a3 b0 2a 2b cc a0 8d c3 c2 31 91 f7 bb 98 dd 08 |..*+.....1......| -00000360 8e 33 b0 11 aa 0f d7 45 ff 87 99 9c 52 f2 99 73 |.3.....E....R..s| -00000370 25 a5 89 1e 07 03 a7 73 4f 4f 71 d4 61 48 77 04 |%......sOOq.aHw.| -00000380 c3 69 13 f3 bb 18 cb ff f5 6c 3b a0 93 86 b1 ec |.i.......l;.....| -00000390 52 5d 1e 8d 5c 0c e3 2c 7e 04 08 58 06 3a 9b 15 |R]..\..,~..X.:..| -000003a0 3b 2b 69 ed 12 e9 9d 2e de 3d b0 b5 ea 18 b2 08 |;+i......=......| -000003b0 39 f6 1c be 87 16 03 03 00 14 06 01 a9 7a d1 01 |9............z..| -000003c0 58 0c 85 a6 3f 49 45 ac b3 c1 53 d2 a3 92 |X...?IE...S...| +00000000 16 03 03 00 81 86 8b 05 dd a6 0b e0 34 15 18 ab |............4...| +00000010 32 3e 6e f5 9c 3c 20 8b a2 51 c3 25 33 45 e3 42 |2>n..< ..Q.%3E.B| +00000020 22 38 e7 81 2f 7b ec a5 10 a7 fe 87 59 31 30 57 |"8../{......Y10W| +00000030 bb 94 92 6e 24 ab 37 fe a5 6f 29 e8 e0 f5 a4 e9 |...n$.7..o).....| +00000040 70 81 54 7c 05 1e a9 ed 3c 7e a4 b3 6a a2 ac 93 |p.T|....<~..j...| +00000050 6f de 39 50 90 c2 61 11 00 b0 b1 83 af ef a3 0f |o.9P..a.........| +00000060 6c 1f c2 8e 27 bb 41 8c 97 bf c3 ad 6d dd 01 cd |l...'.A.....m...| +00000070 9a ec af 3b 7a f6 06 38 7f 93 8b f5 ae 2a 85 2e |...;z..8.....*..| +00000080 ba a3 d9 3d d2 01 16 03 03 02 69 e9 7d 2b ad e4 |...=......i.}+..| +00000090 1b 17 e6 ed bb a7 a1 7a 47 53 b9 cd 2a 3e c3 1e |.......zGS..*>..| +000000a0 64 f6 45 08 7c a5 a6 3d d9 8a 8c 0c ac 0d 36 2e |d.E.|..=......6.| +000000b0 bc 70 c1 39 bb 9b 0f 6c ed f6 4e 2d 78 fc 3e 0d |.p.9...l..N-x.>.| +000000c0 fa 5e 9a d3 00 73 1e 5a 49 73 50 49 68 64 30 3b |.^...s.ZIsPIhd0;| +000000d0 7f d0 16 d3 d9 6f 83 51 9c 19 2e 99 67 37 d8 7c |.....o.Q....g7.|| +000000e0 f7 28 06 41 5f 30 51 f1 4a 22 50 2f 5a 39 c9 6b |.(.A_0Q.J"P/Z9.k| +000000f0 8c 06 cd 27 ae a6 08 43 1c 60 0c 24 fe 09 a5 6b |...'...C.`.$...k| +00000100 e0 0b c3 1f 13 83 3f 01 da 94 65 ff 4a b2 ef 14 |......?...e.J...| +00000110 f9 12 fe c5 72 32 7f 3e cc 7b 44 70 11 28 f3 92 |....r2.>.{Dp.(..| +00000120 02 cf f5 54 2b 4c 09 0d 8e 36 48 2f 7e 4b ce 25 |...T+L...6H/~K.%| +00000130 b9 2d 84 50 b5 f0 f2 e9 6f ab 8b c2 23 67 88 4d |.-.P....o...#g.M| +00000140 33 58 b6 ea 85 05 8a b9 31 5e 0e 1c ba b8 82 ef |3X......1^......| +00000150 cd 3e 59 2d a3 89 31 4a b5 5b 39 e1 da 83 5d 67 |.>Y-..1J.[9...]g| +00000160 90 5d a8 4d eb e8 8d 8d 3b 96 ed 7c 82 97 d9 f1 |.].M....;..|....| +00000170 03 5b b6 94 85 2e 62 4b 4d 04 a2 7c b2 c0 2b b3 |.[....bKM..|..+.| +00000180 0c 59 ba 5e 51 1c c4 9c 1f 96 5d f6 08 11 de 67 |.Y.^Q.....]....g| +00000190 0b 31 cb f7 05 90 3b e6 c7 86 cb 96 01 77 45 06 |.1....;......wE.| +000001a0 96 97 78 cf c9 b1 30 bd 4c 51 8a 53 4d 36 73 49 |..x...0.LQ.SM6sI| +000001b0 e5 e4 72 84 8b 4c f5 0f 13 20 47 03 3c 5c 1e d1 |..r..L... G.<\..| +000001c0 a7 f8 22 e2 f3 6a 01 ee 17 b0 14 be 48 7b 5c 29 |.."..j......H{\)| +000001d0 d8 33 0e f6 bb bc 1d 6d 51 46 80 82 80 87 fd 60 |.3.....mQF.....`| +000001e0 6c 91 6c 6e 70 4f 8f ee 75 6f a1 35 af e2 b0 b6 |l.lnpO..uo.5....| +000001f0 54 e1 4a f7 f8 76 13 0c e0 ca 9e 51 08 ba 29 64 |T.J..v.....Q..)d| +00000200 40 40 65 72 65 ce 5d 16 2f 47 8e 09 45 59 66 19 |@@ere.]./G..EYf.| +00000210 07 4e 98 03 7b ef d3 ed a2 49 04 23 0b d2 21 f2 |.N..{....I.#..!.| +00000220 e4 31 44 a2 e4 3e 56 80 e0 44 4c 7b ab 17 d7 fb |.1D..>V..DL{....| +00000230 e0 bb 76 ef b7 ef 2f 12 8e a5 aa ab 2b f5 b1 4c |..v.../.....+..L| +00000240 4e 29 fa ac 85 b0 27 48 9c 52 52 67 bb d1 15 97 |N)....'H.RRg....| +00000250 97 b9 5f a7 3b c5 c3 20 9d 87 82 5b ca ab c6 04 |.._.;.. ...[....| +00000260 6a 4e 96 f3 9a 73 11 b8 fe 28 2a ee bc b2 53 9e |jN...s...(*...S.| +00000270 dc ed fa 0a 03 b3 d1 d7 5f 88 51 aa a0 4a 21 f7 |........_.Q..J!.| +00000280 70 3e 62 41 33 57 03 c1 12 75 17 84 be 9c fd 17 |p>bA3W...u......| +00000290 8d 44 9f 23 f5 b8 58 89 a9 cc 91 05 a8 ae b1 0b |.D.#..X.........| +000002a0 22 2f 4b 03 61 79 29 df 80 b7 9b 30 67 93 ad 18 |"/K.ay)....0g...| +000002b0 df f0 04 76 6c b2 02 1b e8 19 e1 05 6f b3 49 3e |...vl.......o.I>| +000002c0 c5 c6 1c 80 59 23 bf f3 ae 98 f6 41 08 a1 61 4a |....Y#.....A..aJ| +000002d0 3b c1 6f f2 40 46 5e 3f 28 46 8d 0f a3 64 65 b3 |;.o.@F^?(F...de.| +000002e0 29 67 4d ae e9 5e 39 7a 92 ad 8d 62 d1 cf bf f8 |)gM..^9z...b....| +000002f0 33 99 c8 32 16 03 03 00 bc 6f 3b a8 09 4a 23 dc |3..2.....o;..J#.| +00000300 d9 0b a8 8b 27 ba 4f 8c db eb bd 66 62 80 1d 0a |....'.O....fb...| +00000310 50 fd 8f e4 25 0c b7 90 5e 96 08 5e 17 9d da a5 |P...%...^..^....| +00000320 78 01 07 0c f4 a3 00 ac d1 4e e4 3c 55 30 65 3d |x........N.>> Flow 13 (client to server) -00000000 16 03 03 00 35 f1 36 18 1a 14 08 b0 5a 70 bd b3 |....5.6.....Zp..| -00000010 bc 5d b1 df 2f 6d 0a c3 46 ef 15 94 a4 56 47 d7 |.]../m..F....VG.| -00000020 f8 8b 3d e6 89 d2 d3 c1 b1 ed c5 90 c9 0e 64 d1 |..=...........d.| -00000030 28 42 30 0c 11 f8 da 5a a0 56 14 03 03 00 11 99 |(B0....Z.V......| -00000040 77 c0 c8 27 f9 bb 7c b2 0c 47 af 49 04 6f ba c3 |w..'..|..G.I.o..| -00000050 16 03 03 00 20 a7 c7 01 3a fa 0f a6 12 43 10 18 |.... ...:....C..| -00000060 e1 0b 0c 9a e1 06 f8 83 14 4d 56 74 29 b5 db 65 |.........MVt)..e| -00000070 fd 8a 20 2c ed |.. ,.| +00000000 16 03 03 00 35 d7 8a 7b 29 6c 1f 08 9e cd be db |....5..{)l......| +00000010 3f a8 9c a7 87 75 c4 87 f4 71 39 9a 29 f7 d2 ae |?....u...q9.)...| +00000020 32 3b 9b 82 82 40 d3 71 93 66 42 12 de 88 fc 63 |2;...@.q.fB....c| +00000030 3f f3 7e 5f bd a6 a1 4c 42 4f 14 03 03 00 11 7e |?.~_...LBO.....~| +00000040 75 2b e5 e0 35 c7 3c 38 3e 8d 78 13 f9 b8 f8 54 |u+..5.<8>.x....T| +00000050 16 03 03 00 20 b9 45 8f 49 e6 96 ff a4 3e 86 42 |.... .E.I....>.B| +00000060 b5 59 c9 15 87 f1 86 50 4e 37 51 46 bc 1c fb fa |.Y.....PN7QF....| +00000070 ac 3c e3 85 d8 |.<...| >>> Flow 14 (server to client) -00000000 14 03 03 00 11 50 08 b0 03 54 e2 68 1a a1 43 14 |.....P...T.h..C.| -00000010 ed bd c7 c7 72 26 16 03 03 00 20 d9 b9 9e 70 60 |....r&.... ...p`| -00000020 7f c6 91 a7 22 b7 c0 3f 9c f0 17 4d 41 4f 0e 09 |...."..?...MAO..| -00000030 da 1d a6 3e c6 18 5b 19 20 75 31 17 03 03 00 19 |...>..[. u1.....| -00000040 b4 b3 bc 4b 55 e5 44 ad 1e 45 eb 78 10 31 31 b2 |...KU.D..E.x.11.| -00000050 1b b9 6a 7d 90 8c 6e c5 26 |..j}..n.&| +00000000 14 03 03 00 11 1d fe 35 c6 85 de bb 23 48 f2 79 |.......5....#H.y| +00000010 1d 56 94 88 09 00 16 03 03 00 20 94 03 e0 f2 46 |.V........ ....F| +00000020 1c 90 0f 94 3a 73 ac f4 07 a8 10 5b 8f df 8d 9f |....:s.....[....| +00000030 bb ab 1e ea a1 83 a4 dd 1c 57 a2 17 03 03 00 19 |.........W......| +00000040 c4 5e 6c c3 5e cc 0f 39 c3 7d 9c 92 5d dd 4b c6 |.^l.^..9.}..].K.| +00000050 43 e7 aa 75 8d 0e 98 ab 9c |C..u.....| >>> Flow 15 (client to server) -00000000 15 03 03 00 12 2c 47 dd 4e 24 ea 41 2f 47 ff ca |.....,G.N$.A/G..| -00000010 b1 fa 3e 96 9d 66 14 |..>..f.| +00000000 15 03 03 00 12 0c 6c ea 89 ec 5e 3e 54 b6 67 3a |......l...^>T.g:| +00000010 f7 16 28 50 49 b4 ab |..(PI..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected index a2b034a033a..4e5db444ff2 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 3d 80 a2 3a 26 |....Y...U..=..:&| -00000010 16 79 b3 02 ba 51 ae dc 85 f2 3a 39 f5 58 2d 29 |.y...Q....:9.X-)| -00000020 0a 1e eb 3c f0 c6 19 f9 5a d9 45 20 5c 17 25 57 |...<....Z.E \.%W| -00000030 cd 65 ed 32 f9 00 e7 e0 8c fb b5 82 f3 bf b4 d2 |.e.2............| -00000040 66 d1 fa f7 14 89 4d d5 35 fc af fa cc a8 00 00 |f.....M.5.......| +00000000 16 03 03 00 59 02 00 00 55 03 03 9d 05 38 86 e6 |....Y...U....8..| +00000010 49 5b 2b 75 1b 3f 3b 25 e8 42 3a 65 f6 b1 fb 9d |I[+u.?;%.B:e....| +00000020 16 bf bb bc 58 b2 db 18 d9 93 77 20 af 10 44 a0 |....X.....w ..D.| +00000030 5f 08 48 b5 01 0b 7e 11 ff d1 28 94 4b ce 31 a7 |_.H...~...(.K.1.| +00000040 6c 9d 2b a4 a5 e0 7c 9c 2d fe 55 c0 cc a8 00 00 |l.+...|.-.U.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,188 +61,188 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 2a 21 9d 60 50 ba 34 |........ *!.`P.4| -000002d0 af a9 32 fd 7a 6e cb 3d 28 0f b1 72 94 30 b0 8d |..2.zn.=(..r.0..| -000002e0 ca 05 01 c7 29 8d 52 df 44 08 04 00 80 8b 14 a9 |....).R.D.......| -000002f0 66 24 63 cc e5 08 e6 a0 44 49 b6 0d 5a f4 72 d0 |f$c.....DI..Z.r.| -00000300 19 8b 95 8d 3b df a6 9d 94 b9 5c 8c 3c e6 85 1c |....;.....\.<...| -00000310 53 1d 68 7d 61 4b c0 60 ac a2 1c 7e fa 62 9f f1 |S.h}aK.`...~.b..| -00000320 d7 8e ac 5b 30 1b 5c be 95 60 69 dc c4 80 dc 5a |...[0.\..`i....Z| -00000330 c8 b5 24 95 d9 3a d1 e5 9b 0b 67 71 5d 93 c8 8a |..$..:....gq]...| -00000340 9e a4 bb 70 a1 56 0b 40 6f 2d b6 44 07 17 e2 90 |...p.V.@o-.D....| -00000350 4b f9 3f 97 81 73 a3 87 ab e3 97 05 dc 02 69 6f |K.?..s........io| -00000360 7b a6 c1 e0 30 9d 52 a9 96 5b ac 49 ae 16 03 03 |{...0.R..[.I....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 68 e1 aa 12 19 db 5c |........ h.....\| +000002d0 6c 4b 8a 7d 80 85 96 94 d5 bc 04 90 cc 57 7b 15 |lK.}.........W{.| +000002e0 4d 55 0b a0 b9 14 f5 cb 3b 08 04 00 80 41 38 bc |MU......;....A8.| +000002f0 cc 35 7a f8 0b 2b cc 5f 5b 92 e5 11 1b 2c fc 3a |.5z..+._[....,.:| +00000300 9c 7f 0f d1 cd e4 8d ea 89 6f 74 10 bf 28 2c d8 |.........ot..(,.| +00000310 c4 11 6d a6 9b 95 64 5a 28 56 af b3 1c db 71 06 |..m...dZ(V....q.| +00000320 51 3d a8 d5 65 0d 43 4d c0 8d 1b 75 2a 61 6c 59 |Q=..e.CM...u*alY| +00000330 8b 09 5f 55 2c aa df ed 3d 39 f3 49 ca a7 3d 1e |.._U,...=9.I..=.| +00000340 b7 52 88 a6 4e 1f 8e be 5d 19 bf 5b 00 a3 21 c3 |.R..N...]..[..!.| +00000350 ce 3c 7d 98 6a c3 31 a0 ce a0 f8 90 e3 1a 95 ce |.<}.j.1.........| +00000360 4a 0d 18 db b7 23 4a 58 77 9c 41 40 07 16 03 03 |J....#JXw.A@....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 61 62 08 12 0b 22 10 96 a0 f6 bb |.... ab...".....| -00000040 ac dd 16 7f 46 0c f5 bd 9c f7 07 6e 4e 4f 77 5b |....F......nNOw[| -00000050 47 48 96 23 16 |GH.#.| +00000030 16 03 03 00 20 f5 4f 35 4f 67 64 eb d8 80 fb f0 |.... .O5Ogd.....| +00000040 f3 80 65 87 5d 6a 15 8f e4 c8 74 e2 ff 7e 03 50 |..e.]j....t..~.P| +00000050 0b 9a 2a 8e 06 |..*..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 29 1e 94 76 ae |.......... )..v.| -00000010 fb bb e3 cf 88 84 35 22 39 f2 a6 7a 5b f1 e3 05 |......5"9..z[...| -00000020 38 76 fe ce 7d cc 00 4c d2 8e a5 |8v..}..L...| +00000000 14 03 03 00 01 01 16 03 03 00 20 6c ee 46 6e a0 |.......... l.Fn.| +00000010 96 c2 28 0e 16 3b 53 23 55 cc 21 f2 fb eb d8 50 |..(..;S#U.!....P| +00000020 63 c0 97 a7 6f 0a 13 1e 5b c2 80 |c...o...[..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 ef 4d cc c8 c6 0a e9 aa 33 5a 04 |......M......3Z.| -00000010 c9 54 79 3f 55 c2 fa c3 05 5c 49 |.Ty?U....\I| +00000000 17 03 03 00 16 7d 49 5a 0c 68 d8 08 be d2 24 c6 |.....}IZ.h....$.| +00000010 95 a4 7c 84 0f 1e ce 63 6f 6c f6 |..|....col.| >>> Flow 6 (server to client) -00000000 16 03 03 00 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31 aa 0f a3 77 3b 97 46 a1 b2 8a |.....1...w;.F...| -00000320 27 a3 73 b2 8e 57 96 e2 08 84 81 b5 3e 25 da bf |'.s..W......>%..| -00000330 d0 66 ee 22 3c 7a 91 4f 65 16 af 93 2a 65 94 b9 |.f.".."N.T..f..| +00000240 a8 b1 da d8 e5 dc d9 8c a5 35 3c e5 b2 ce af 1f |.........5<.....| +00000250 34 99 e7 23 14 d8 ca 17 69 19 52 66 0c cb bd d1 |4..#....i.Rf....| +00000260 7b e1 db 5d 5f fb d1 17 44 06 8f 7f c1 8b 16 03 |{..]_...D.......| +00000270 03 00 35 11 c1 0e e1 db 1e 35 6e bc 99 45 ac 48 |..5......5n..E.H| +00000280 4a b5 e9 6f 26 72 e2 cb f7 4d b2 2a 41 ce a4 1b |J..o&r...M.*A...| +00000290 18 4d 3a a3 fd 71 92 28 ee 68 05 05 e4 80 66 3b |.M:..q.(.h....f;| +000002a0 1f de 34 30 c5 3d 2b f6 16 03 03 00 98 5a 08 40 |..40.=+......Z.@| +000002b0 fa c6 f5 64 a7 aa 95 b8 a3 5a a3 fa 7b cb 88 de |...d.....Z..{...| +000002c0 f8 be 94 ef c9 ed db f1 1e 2a 82 d0 70 80 d6 4a |.........*..p..J| +000002d0 22 9c f1 1f 28 b8 16 32 d2 0f 5d c1 18 94 53 bc |"...(..2..]...S.| +000002e0 d4 62 c7 37 1f 27 0c b0 6f 62 5e b5 6c 32 8b db |.b.7.'..ob^.l2..| +000002f0 d9 92 49 35 fb bd 31 02 45 88 1c d6 93 73 93 77 |..I5..1.E....s.w| +00000300 fb 87 16 42 a9 65 97 fd 2f 0a 30 8f 4b d0 ef eb |...B.e../.0.K...| +00000310 de 8f 33 55 3a 6e 88 6c 3d 65 ef 4a c2 dd cf fd |..3U:n.l=e.J....| +00000320 ad 14 92 2d a9 8b 89 70 0c 89 51 89 a0 2a cc 3d |...-...p..Q..*.=| +00000330 12 db 53 1e 17 db d2 80 ad af 75 fd 01 1c fe 3a |..S.......u....:| +00000340 fc d4 80 67 ac 14 03 03 00 11 24 ea 96 8a f9 5b |...g......$....[| +00000350 fe 5f e6 43 a4 20 d7 0c 20 58 d7 16 03 03 00 20 |._.C. .. X..... | +00000360 b2 b3 0e 3d 01 75 82 df 98 02 97 21 2f 05 3c 6b |...=.u.....!/.>> Flow 10 (server to client) -00000000 14 03 03 00 11 e0 8d e6 d1 c9 9b 52 c8 a2 bf ae |...........R....| -00000010 b2 e4 67 42 b1 d0 16 03 03 00 20 b4 3f 1f be 91 |..gB...... .?...| -00000020 0b 64 0d 8c 03 f7 3f d1 b6 2c 0f 30 20 dc 7e 04 |.d....?..,.0 .~.| -00000030 e5 5f 9b df 72 39 6f 49 2f a9 3e 17 03 03 00 19 |._..r9oI/.>.....| -00000040 44 c5 de 96 1e cb 94 f0 1e 40 4f b3 16 63 54 bc |D........@O..cT.| -00000050 f5 a4 a5 7c f8 11 43 e7 4c 16 03 03 00 14 e5 a8 |...|..C.L.......| -00000060 b8 7e 88 8a d5 fc e8 40 3b 31 73 2a 7e 24 f2 69 |.~.....@;1s*~$.i| -00000070 74 b0 |t.| +00000000 14 03 03 00 11 e4 21 1f 14 b1 82 96 5f b2 c2 d4 |......!....._...| +00000010 d5 fd 8c 48 a3 6a 16 03 03 00 20 bb ae b2 8e 08 |...H.j.... .....| +00000020 da b1 3d 08 51 71 6b 17 8f 43 6f 74 c3 38 4c 8a |..=.Qqk..Cot.8L.| +00000030 e1 6f 34 0f cf 72 6e a7 0b 4c 38 17 03 03 00 19 |.o4..rn..L8.....| +00000040 f8 39 d2 d7 26 f4 aa 91 c0 e2 5a 2b 63 ed 10 67 |.9..&.....Z+c..g| +00000050 11 02 13 14 ec d4 de e0 f2 16 03 03 00 14 02 03 |................| +00000060 e3 81 88 34 80 d8 0e ed 6a 8f f7 4a 06 36 a6 5b |...4....j..J.6.[| +00000070 c4 7e |.~| >>> Flow 11 (client to server) -00000000 15 03 03 00 12 c6 a2 48 f7 b1 c1 a1 17 a4 b5 27 |.......H.......'| -00000010 bd 0b 5f 11 5a 7c a2 15 03 03 00 12 b2 7e 62 d9 |.._.Z|.......~b.| -00000020 36 67 a0 b6 3e 2a ed fc 6f 77 94 bb 83 8f |6g..>*..ow....| +00000000 15 03 03 00 12 f3 d6 b0 19 af 92 23 c9 40 c0 3c |...........#.@.<| +00000010 cf 95 ef bf 18 9e 5a 15 03 03 00 12 49 c0 db 29 |......Z.....I..)| +00000020 9d 09 13 ff dd 1b 7e ee 0f 8b 90 ae 89 02 |......~.......| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected b/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected index 476041055b6..3a9d3b3e444 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiationRejected @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 d8 c7 6f fa 82 |....Y...U....o..| -00000010 37 eb a6 14 de 94 07 70 6a b5 78 45 dc 9f 56 92 |7......pj.xE..V.| -00000020 db 72 82 3c 9d 35 e4 9d 10 d3 4f 20 3d 7b ce 84 |.r.<.5....O ={..| -00000030 23 6f 24 3e ab 87 14 4c 66 eb db bb ff e4 9f 0a |#o$>...Lf.......| -00000040 64 de ad 60 c7 59 48 67 5c 7e ed f7 cc a8 00 00 |d..`.YHg\~......| +00000000 16 03 03 00 59 02 00 00 55 03 03 77 32 21 e7 af |....Y...U..w2!..| +00000010 e4 9f a7 76 0d 0f d1 9f c8 16 73 ea 24 db fc 5b |...v......s.$..[| +00000020 fc bb 51 a8 13 35 77 c7 a4 e1 ab 20 3b b3 03 6d |..Q..5w.... ;..m| +00000030 4d fd 39 e2 8e 9a 5e 8c b6 79 17 47 20 ae 49 eb |M.9...^..y.G .I.| +00000040 73 bb 14 90 33 42 59 35 7e 34 e4 41 cc a8 00 00 |s...3BY5~4.A....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 73 19 98 03 4d 63 fd |........ s...Mc.| -000002d0 40 98 0b a8 a7 f0 5a 85 32 19 b5 80 e2 1f cc cd |@.....Z.2.......| -000002e0 63 60 1f 14 86 ad 47 fb 6f 08 04 00 80 26 71 72 |c`....G.o....&qr| -000002f0 18 2f d8 41 e6 16 ce 27 ba dd 75 a7 fa e9 c4 e3 |./.A...'..u.....| -00000300 f1 46 4c d6 33 34 c4 f9 69 f6 48 13 8c e5 f5 16 |.FL.34..i.H.....| -00000310 8d 24 36 3d 4c 1e 7b ce da 08 46 6b 1a 9b 30 21 |.$6=L.{...Fk..0!| -00000320 fc 3f fc 86 91 a9 0c c8 a7 7e eb 42 39 d1 8a b1 |.?.......~.B9...| -00000330 86 fa 90 ae 9b ea a4 99 9c cf c6 db 4f f8 b3 9f |............O...| -00000340 1f a9 a2 18 81 7a d2 ee fd 24 a1 f3 d0 33 ed 2a |.....z...$...3.*| -00000350 bb 40 88 ef b1 db c1 a5 f6 f5 a3 49 58 74 b0 20 |.@.........IXt. | -00000360 bf 99 a8 bc 2d 26 99 28 e1 35 ca 64 b0 16 03 03 |....-&.(.5.d....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 cb db a1 85 dd 90 3f |........ ......?| +000002d0 b7 7e 1a 1d bc f5 9f 6d b7 58 81 2d 8c 3d 07 1d |.~.....m.X.-.=..| +000002e0 5f ac 6f 0e 5f ed 9c f1 54 08 04 00 80 0e ee 8a |_.o._...T.......| +000002f0 62 fc 49 4c c2 34 45 3d 0e 63 9b 9a f4 3c 4c c6 |b.IL.4E=.c...>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 aa 66 5e 19 98 02 93 f8 9b 05 ce |.... .f^........| -00000040 dc eb 36 66 89 72 df aa 03 c0 70 d0 8a df 60 e4 |..6f.r....p...`.| -00000050 22 fa af 93 ed |"....| +00000030 16 03 03 00 20 af cd 02 f2 bc 4d ca 7b fe b4 71 |.... .....M.{..q| +00000040 fe 99 ae 18 ad ff ad 5d c9 48 48 5f 8e b8 58 84 |.......].HH_..X.| +00000050 63 20 eb 6d 5b |c .m[| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 82 b5 fc 52 b0 |.......... ...R.| -00000010 6c b6 ea 32 2c c3 f6 89 21 cd 79 c3 d1 a3 bd 85 |l..2,...!.y.....| -00000020 05 2d 57 92 91 09 e7 2b 15 8b 6e |.-W....+..n| +00000000 14 03 03 00 01 01 16 03 03 00 20 f6 fe 9a 99 28 |.......... ....(| +00000010 cb ab 63 b2 2a 9c 08 ad ee c0 9e d3 1f 14 b3 65 |..c.*..........e| +00000020 7f f1 e5 bb 8f e9 18 5a 54 ec 09 |.......ZT..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 d1 27 2b 6a e0 ce 90 8c c3 05 7e |......'+j......~| -00000010 74 e7 e7 93 7a e2 7c 0e 56 d0 12 |t...z.|.V..| +00000000 17 03 03 00 16 30 fa c6 ae e4 c5 56 11 a9 ca bd |.....0.....V....| +00000010 8f 74 dc 6f e6 8b 15 5a e3 7f 76 |.t.o...Z..v| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 48 2d 01 8e cb 10 b5 35 d3 b7 6f |.....H-.....5..o| -00000010 99 45 97 de 0f 7d b6 60 b0 |.E...}.`.| +00000000 16 03 03 00 14 d6 0d 01 4c fb 29 97 a8 c7 95 a9 |........L.).....| +00000010 54 85 9d f0 3c 25 7f d0 63 |T...<%..c| >>> Flow 7 (client to server) -00000000 15 03 03 00 12 b5 31 a2 fc c9 ee f5 4a bb a4 4e |......1.....J..N| -00000010 eb 9b 04 ad 45 b3 85 15 03 03 00 12 f8 ca 35 1b |....E.........5.| -00000020 44 da 7c 1b ce cd 2c 9e dd 6f c2 34 b4 06 |D.|...,..o.4..| +00000000 15 03 03 00 12 86 5c c9 56 84 54 8b 2d 54 2d dc |......\.V.T.-T-.| +00000010 47 48 ba ae be be 43 15 03 03 00 12 eb 65 ee dc |GH....C......e..| +00000020 d3 40 22 f2 ed f4 d2 a2 aa ce 82 bc 54 6e |.@".........Tn| diff --git a/src/crypto/tls/testdata/Client-TLSv12-SCT b/src/crypto/tls/testdata/Client-TLSv12-SCT index bab26d7d0b6..1ef1a5f2ef7 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-SCT +++ b/src/crypto/tls/testdata/Client-TLSv12-SCT @@ -17,11 +17,11 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 01 c6 02 00 01 c2 03 03 40 50 e1 86 7c |...........@P..|| -00000010 25 fe 14 2e 80 1b 07 e7 0a 3e 5e ca 8f 17 cf 6e |%........>^....n| -00000020 45 af 3c 2e 00 9e 6c d6 01 40 90 20 9c fe 77 84 |E.<...l..@. ..w.| -00000030 c7 03 71 62 64 66 c8 9f 05 67 67 27 51 92 7b 96 |..qbdf...gg'Q.{.| -00000040 e8 b7 00 93 62 b5 23 d5 f6 1b 18 6d cc a8 00 01 |....b.#....m....| +00000000 16 03 03 01 c6 02 00 01 c2 03 03 ab 20 53 6d 82 |............ Sm.| +00000010 50 11 b7 25 ce ea 01 dd dd 5c 09 a4 c1 d2 58 37 |P..%.....\....X7| +00000020 19 9f 89 b7 e2 78 9e 8c 3d ef 15 20 4a 49 7f 02 |.....x..=.. JI..| +00000030 5d 76 ae a7 af f6 7b d0 b1 65 9e 85 91 34 88 c5 |]v....{..e...4..| +00000040 4b 6a 24 77 7f 7d 54 a7 7f 73 e1 d4 cc a8 00 01 |Kj$w.}T..s......| 00000050 7a 00 12 01 69 01 67 00 75 00 a4 b9 09 90 b4 18 |z...i.g.u.......| 00000060 58 14 87 bb 13 a2 cc 67 70 0a 3c 35 98 04 f9 1b |X......gp.<5....| 00000070 df b8 e3 77 cd 0e c8 0d dc 10 00 00 01 47 97 99 |...w.........G..| @@ -84,31 +84,31 @@ 00000400 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d ae db 46 |.....@.a.Lr+...F| 00000410 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db fe 3d 13 |..M...>...B...=.| 00000420 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -00000430 00 a8 03 00 1d 20 fc a2 99 01 3b bb 5c 33 40 bd |..... ....;.\3@.| -00000440 a6 79 74 43 96 48 d7 53 90 d3 8a ab fc f2 f3 43 |.ytC.H.S.......C| -00000450 c9 21 dc e9 ae 4f 08 04 00 80 5b dc 13 27 c1 0b |.!...O....[..'..| -00000460 bb c8 6f ea 4c 87 58 06 84 04 d6 c1 d7 5d 35 fe |..o.L.X......]5.| -00000470 da 37 ea 4b a1 66 42 97 b3 b8 e0 03 ff 71 93 0c |.7.K.fB......q..| -00000480 91 fd c0 d9 e5 92 3c dd f7 eb 9b 20 a1 7c 02 84 |......<.... .|..| -00000490 a3 d7 0a ac 3f 7c c7 42 7f 39 20 f6 ba 32 b9 f9 |....?|.B.9 ..2..| -000004a0 bc b7 7f 11 c7 5c b9 10 8f 08 0f 84 df 85 7d a4 |.....\........}.| -000004b0 eb 97 ff 0d e7 53 13 98 11 be 7e 6e 8f cc 0b 31 |.....S....~n...1| -000004c0 30 7a 92 df 9b 32 47 e6 1b 0e bd e9 cf 09 ce ed |0z...2G.........| -000004d0 0a 5f 44 54 78 7a bd 50 2b a6 16 03 03 00 04 0e |._DTxz.P+.......| +00000430 00 a8 03 00 1d 20 3d 7e 6d ce 37 d9 44 90 d6 3e |..... =~m.7.D..>| +00000440 de d4 4d ec 85 b8 48 1f e5 60 e8 3b e4 e0 d3 f4 |..M...H..`.;....| +00000450 42 e6 25 be 9a 28 08 04 00 80 64 a3 c6 14 e2 81 |B.%..(....d.....| +00000460 d5 0a 1e 21 78 e4 38 5d 47 23 af 65 24 c8 ab 90 |...!x.8]G#.e$...| +00000470 32 c3 b4 da e3 03 0c 81 73 9b e9 6e 47 6b f3 5b |2.......s..nGk.[| +00000480 df 6f 41 2e b1 10 55 c9 0e ae a2 7f 9b 01 2b b0 |.oA...U.......+.| +00000490 da f7 0c dd 41 c0 8e 40 c8 4a 3e ff de 6d b6 2f |....A..@.J>..m./| +000004a0 25 74 75 f4 4d 20 21 0c 36 63 9f ef 21 ad 05 49 |%tu.M !.6c..!..I| +000004b0 04 5e 8f f6 63 92 56 4a bf 91 97 94 78 ba 93 10 |.^..c.VJ....x...| +000004c0 ff 33 22 52 bb 2c 63 aa ed 04 17 18 8b bc 62 21 |.3"R.,c.......b!| +000004d0 38 21 d6 e4 be 68 c4 2e 7d fb 16 03 03 00 04 0e |8!...h..}.......| 000004e0 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 45 08 e3 20 30 99 b6 8a bd 8e 4d |.... E.. 0.....M| -00000040 c8 bf e2 8f b6 53 ce 98 3a 67 c4 f2 31 28 95 a4 |.....S..:g..1(..| -00000050 f6 79 be ad 62 |.y..b| +00000030 16 03 03 00 20 a2 9f e5 f0 89 13 37 dd eb 9b a0 |.... ......7....| +00000040 4b 51 63 78 99 3c 74 4f b7 89 57 00 02 42 41 af |KQcx.>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 37 16 dd 69 1f |.......... 7..i.| -00000010 80 5e f5 c5 ea 6a ed 27 84 86 02 54 25 52 f7 5d |.^...j.'...T%R.]| -00000020 09 cb 8f d5 06 a0 53 99 46 80 c3 |......S.F..| +00000000 14 03 03 00 01 01 16 03 03 00 20 1a 17 41 1b 4b |.......... ..A.K| +00000010 9d ea d9 7a 58 63 86 37 1f 3b e3 e9 97 f1 a2 04 |...zXc.7.;......| +00000020 ae 8c ce c4 47 4e 68 a9 ed c7 ae |....GNh....| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 94 13 2a 62 dd 68 60 68 59 4a 67 |.......*b.h`hYJg| -00000010 41 56 52 5c 18 ff 87 3c 0b 46 8d 15 03 03 00 12 |AVR\...<.F......| -00000020 c7 10 66 b7 f8 8c 00 9b e1 51 f2 22 53 d5 50 bb |..f......Q."S.P.| -00000030 bf 69 |.i| +00000000 17 03 03 00 16 4a c2 dd 3a 9f 2e c6 21 90 63 85 |.....J..:...!.c.| +00000010 75 a9 3f 1a 66 4b c2 0a e2 8a 49 15 03 03 00 12 |u.?.fK....I.....| +00000020 3e 38 93 36 05 16 ac 1f 56 4f d1 6e 95 66 31 3c |>8.6....VO.n.f1<| +00000030 e7 b0 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 index 0cdc9d2066d..854c93d050d 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 @@ -17,75 +17,75 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 a9 2e d9 f5 0a |....z...v.......| -00000010 ca 99 60 ff 25 13 a7 d4 1d ca 2e 58 92 5b 27 e0 |..`.%......X.['.| -00000020 af 82 ec 29 02 7a 45 54 d5 f3 5e 20 00 00 00 00 |...).zET..^ ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 c1 93 1b 5c c3 |....z...v.....\.| +00000010 ec 0a de 95 5f 01 0a a1 f9 da 5d b2 bc 50 48 88 |...._.....]..PH.| +00000020 1a 03 88 21 77 11 72 73 67 b6 c0 20 00 00 00 00 |...!w.rsg.. ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 9a |..+.....3.$... .| -00000060 0c 89 52 d8 f9 10 c0 83 16 aa a6 70 67 cb df 56 |..R........pg..V| -00000070 c0 f2 9a e8 25 22 ca 5d 87 0d fd 1b ea a2 41 14 |....%".]......A.| -00000080 03 03 00 01 01 17 03 03 00 17 e1 3a 6e 0e 2c 0b |...........:n.,.| -00000090 a8 6d 1d 4d f3 1c f5 a4 10 54 f0 e1 10 cb 83 77 |.m.M.....T.....w| -000000a0 2b 17 03 03 02 6d 40 e8 55 eb 5b 7a 10 b7 c5 f7 |+....m@.U.[z....| -000000b0 61 ba fe 32 02 ce 66 98 f0 1a 45 a9 e8 bf 3c 7f |a..2..f...E...<.| -000000c0 a2 19 00 ac 7d 3c 01 76 93 96 ce 74 21 a4 1b 42 |....}<.v...t!..B| -000000d0 83 93 08 8f 93 cf 4d 91 63 95 c0 fd 6a 36 3f 5a |......M.c...j6?Z| -000000e0 63 a2 ba 14 e5 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65 41 8e 85 20 bb 51 |.........eA.. .Q| +000001e0 b8 c9 8d cb a6 e9 29 48 1e b2 36 b1 3a 5b 02 ab |......)H..6.:[..| +000001f0 00 76 9c 04 10 0a 23 1f 9d 3f d0 0f be 76 fd 23 |.v....#..?...v.#| +00000200 3f f7 5e 7b ea f3 6b a3 97 3c 11 26 7e 31 48 cb |?.^{..k..<.&~1H.| +00000210 74 aa 74 0d 75 6e 68 06 5b 7f df 02 38 fc 15 0e |t.t.unh.[...8...| +00000220 f5 a2 d6 b7 65 2a bf 5d 12 d3 a6 a4 23 1c 38 ac |....e*.]....#.8.| +00000230 5d 72 4e 56 17 9b ba d6 a7 1e ca 15 13 70 85 83 |]rNV.........p..| +00000240 23 dc f5 41 ac ac b8 dd 60 87 ce 2b 96 88 c9 5e |#..A....`..+...^| +00000250 00 67 0e a6 00 3b 58 51 fa f4 fa be e4 73 73 c0 |.g...;XQ.....ss.| +00000260 1c dc 61 ef 94 a3 a2 ba 30 c8 45 e7 ab 36 c1 79 |..a.....0.E..6.y| +00000270 67 a8 06 37 47 f9 0f 31 60 91 80 03 ab 89 71 57 |g..7G..1`.....qW| +00000280 cb d1 3f 4b a7 4e b7 dd 6f 34 b6 43 9e 5a bc 40 |..?K.N..o4.C.Z.@| +00000290 8f b4 33 03 cb 69 e3 ab 29 47 91 c0 dc 9c 23 9d |..3..i..)G....#.| +000002a0 c4 f3 77 67 e0 59 06 06 b0 26 bf 7e 14 a2 ae 5c |..wg.Y...&.~...\| +000002b0 a3 28 01 fd a9 0f d2 d8 86 a6 17 e7 66 d4 8f 20 |.(..........f.. | +000002c0 05 76 80 6a 1d a3 73 d8 4d b7 cb 69 f2 40 79 8e |.v.j..s.M..i.@y.| +000002d0 e8 aa ff 5e 31 3f 6f 92 9e af 07 79 6a dd 88 75 |...^1?o....yj..u| +000002e0 54 1b 30 03 70 9f 85 4f ec 32 6a ae a8 0c 6f 1b |T.0.p..O.2j...o.| +000002f0 f2 d6 6c 21 1a ed 81 71 92 71 bd d0 8e 66 9f fc |..l!...q.q...f..| +00000300 0a 90 dc c3 e5 1c 5a b9 40 cb d8 9d 66 80 5e 89 |......Z.@...f.^.| +00000310 49 25 67 17 03 03 00 99 eb 18 64 7b 67 b4 26 10 |I%g.......d{g.&.| +00000320 e3 f7 08 03 55 13 ab d5 e0 25 2f f6 90 1d a8 ea |....U....%/.....| +00000330 66 2e 1b 4d 81 a6 31 e1 db 6e a5 9a ce ee 34 6b |f..M..1..n....4k| +00000340 0f b2 0c 5a b4 66 42 24 c3 c7 fd 78 11 66 38 2c |...Z.fB$...x.f8,| +00000350 9f 2a 6d 87 27 5f ab 99 8a 4a a5 5b 2c a6 d6 90 |.*m.'_...J.[,...| +00000360 93 3b 2b a4 86 77 f5 c7 35 7c 78 d2 3e f8 a7 35 |.;+..w..5|x.>..5| +00000370 b7 b4 49 81 9e 11 35 10 08 f4 e9 fb d4 f9 ca 47 |..I...5........G| +00000380 91 51 93 21 bb 44 ef c3 86 b1 0c 18 76 83 e3 15 |.Q.!.D......v...| +00000390 fc 48 07 6c ab fc a7 eb 91 58 ca f1 25 a6 eb 14 |.H.l.....X..%...| +000003a0 63 72 c2 8b af 4c 26 8a e8 d0 7b fd af 30 ca 73 |cr...L&...{..0.s| +000003b0 aa 17 03 03 00 45 a9 92 1a fb 93 f1 0e d2 2d e8 |.....E........-.| +000003c0 c9 56 98 f3 bd f2 e0 2f 9c f0 18 1b 1c 80 0e cd |.V...../........| +000003d0 9e 31 0f dd d7 ee 66 35 bc 70 2c 6e cb 2d be 7c |.1....f5.p,n.-.|| +000003e0 25 23 e2 b2 f8 ce 86 bd af d3 62 2f 32 09 ec f1 |%#........b/2...| +000003f0 35 0a f6 fe fb 85 ea 67 ed 39 61 |5......g.9a| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 45 0d 03 9b 92 5e |..........E....^| -00000010 fd 1d c7 ad b5 f5 b5 24 c3 06 47 23 1b 4d 27 f7 |.......$..G#.M'.| -00000020 0b 20 66 8a c9 c6 1f 0e 31 cb 2c 69 88 fd 00 3a |. f.....1.,i...:| -00000030 57 3f 19 3c 22 80 42 ad 99 64 c2 67 4f e3 cb 1a |W?.<".B..d.gO...| -00000040 07 6a 61 cd 0e 21 69 1b f1 97 dc 33 15 30 49 a9 |.ja..!i....3.0I.| -00000050 17 03 03 00 17 cd ba 09 c3 5d 4c 7e cd 19 14 a0 |.........]L~....| -00000060 1b 92 9f be a5 46 f9 2a ac 76 c3 b4 17 03 03 00 |.....F.*.v......| -00000070 13 c3 bd 2e ba 0d 55 37 37 95 39 2c cf 02 85 8d |......U77.9,....| -00000080 e4 e7 72 83 |..r.| +00000000 14 03 03 00 01 01 17 03 03 00 45 4c 2e 47 eb cc |..........EL.G..| +00000010 8a c4 9a 24 fe c0 f5 b9 79 b7 2f 7e 8a 29 fa 1e |...$....y./~.)..| +00000020 13 6c 3e 96 cb 23 16 53 26 3b ea 8d 83 47 f4 48 |.l>..#.S&;...G.H| +00000030 80 f1 db 94 9c 8f 34 23 32 8f 7c 42 09 a8 02 b2 |......4#2.|B....| +00000040 8b 82 36 46 db 38 5c d7 6a 01 7b a8 cf 37 cc bd |..6F.8\.j.{..7..| +00000050 17 03 03 00 17 ea 21 93 64 15 ad 92 15 ce 6b d5 |......!.d.....k.| +00000060 e1 03 90 58 b1 01 37 ad 03 81 91 1e 17 03 03 00 |...X..7.........| +00000070 13 47 71 ff cf 11 b9 a7 39 ea 4c b6 f3 47 7a 84 |.Gq.....9.L..Gz.| +00000080 17 61 4d 91 |.aM.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ALPN b/src/crypto/tls/testdata/Client-TLSv13-ALPN index e1a35a8f73d..b32a468862e 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv13-ALPN @@ -18,76 +18,76 @@ 00000100 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| 00000110 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 08 1c 46 cc 67 |....z...v....F.g| -00000010 28 4d 0a d6 a5 7f d4 ea 4d 06 eb 86 25 3a c6 a7 |(M......M...%:..| -00000020 31 11 16 6d 0b 8e 0c 65 5b 03 38 20 00 00 00 00 |1..m...e[.8 ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 34 35 5d 69 9f |....z...v..45]i.| +00000010 37 9c 4b a0 22 13 46 94 9c 5c 03 01 21 64 fe f4 |7.K.".F..\..!d..| +00000020 5a ce c5 9f 01 6d 5d 11 76 71 4d 20 00 00 00 00 |Z....m].vqM ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 72 |..+.....3.$... r| -00000060 d8 1c 1d 51 0d e4 21 d6 32 49 e9 82 72 e4 af ef |...Q..!.2I..r...| -00000070 da aa 0a c8 5a a3 ba f8 b7 df 21 bc 6f 2b 0f 14 |....Z.....!.o+..| -00000080 03 03 00 01 01 17 03 03 00 24 b3 79 82 50 b7 82 |.........$.y.P..| -00000090 b0 e4 fd 38 33 06 7f 3a d8 43 13 2d 00 f1 3b 4d |...83..:.C.-..;M| -000000a0 ca a2 98 46 ce ed 57 5b cc bb f2 3d a0 9c 17 03 |...F..W[...=....| -000000b0 03 02 6d 8c a7 fe b5 54 25 19 78 7c 39 63 6b 08 |..m....T%.x|9ck.| -000000c0 2c c9 04 32 d2 6e 05 02 bd 5e a7 78 08 fb 4e 7d |,..2.n...^.x..N}| -000000d0 d8 a4 6d 97 79 62 4e e9 9c 35 d6 32 e3 36 47 07 |..m.ybN..5.2.6G.| -000000e0 d4 c9 ac 60 6a 88 87 99 67 be 06 67 dd 60 e8 a4 |...`j...g..g.`..| -000000f0 85 e0 db 47 b8 49 d2 62 38 45 9f aa d2 b3 fc 5a |...G.I.b8E.....Z| -00000100 78 93 43 4f 84 a4 96 2c 62 9f 10 69 c2 18 cd f2 |x.CO...,b..i....| -00000110 1e 2c b9 be c0 9b 81 62 f2 0b 49 69 d0 6e e0 01 |.,.....b..Ii.n..| -00000120 de e3 f1 70 66 61 df e4 4b 4b 04 f1 ab 14 6d 4e |...pfa..KK....mN| -00000130 ad fb fa 0b 57 83 c9 eb 93 f1 ae de 73 70 41 29 |....W.......spA)| -00000140 25 e2 31 20 a5 99 63 ea 35 09 ab d7 bf 1b 17 42 |%.1 ..c.5......B| -00000150 be 55 62 92 bb 17 74 84 95 8b 94 ba 48 71 b8 65 |.Ub...t.....Hq.e| -00000160 bb 15 8a 7e 9f bd c2 2e 56 5b d7 d8 e8 41 74 24 |...~....V[...At$| -00000170 4b 14 fc e4 3d 2f 1c d6 ce 1a f5 3f b2 dd 97 cc |K...=/.....?....| -00000180 c7 6c c6 92 f7 1f 67 7a 1e 0d 60 9f f9 47 02 ad |.l....gz..`..G..| -00000190 3a e7 d2 65 8d 00 7d bf ad 10 44 64 04 cd 4c 64 |:..e..}...Dd..Ld| -000001a0 8e 2d d0 9e a1 f5 6e 7e c0 47 41 e9 80 bf 3d ca |.-....n~.GA...=.| -000001b0 30 a0 50 34 ae db 54 1b 5b 8a 14 64 21 c9 83 89 |0.P4..T.[..d!...| -000001c0 a2 39 e0 e0 aa fd 0a 4d 86 11 8f 67 2e 10 49 35 |.9.....M...g..I5| -000001d0 35 a1 8b 1c 23 48 2a 44 15 08 39 d3 c7 8c 3a 9a |5...#H*D..9...:.| -000001e0 69 85 cc 07 35 4f c8 08 e4 3f 25 f4 2f 23 0f 94 |i...5O...?%./#..| -000001f0 fc 1a 88 42 91 74 5b 8b ef 67 d8 ff 79 59 31 04 |...B.t[..g..yY1.| -00000200 5d 18 2e 49 ae cb b3 5f a9 e0 9b a7 39 37 7f 25 |]..I..._....97.%| -00000210 ca 78 0e 97 73 48 7f 06 45 a6 98 9f 63 0f 34 07 |.x..sH..E...c.4.| -00000220 46 ef 9d c2 a0 01 fd e0 dc e7 13 4e f1 02 16 ad |F..........N....| -00000230 af 2c 62 50 90 05 02 77 0d 1d 2e 81 8d fe e0 6e |.,bP...w.......n| -00000240 e2 5f 4f 08 98 3e 40 c0 61 62 84 97 ab 2d 9d 8d |._O..>@.ab...-..| -00000250 e1 cf d4 c7 f9 f8 7a f4 35 1a be b3 00 13 ab 0a |......z.5.......| -00000260 98 12 08 3e 62 8f f2 bd 0b 76 57 df c4 a6 cb a1 |...>b....vW.....| -00000270 ee e2 e3 08 c9 79 b4 76 03 c6 39 63 ea 61 46 19 |.....y.v..9c.aF.| -00000280 d2 82 d1 a1 6c 0e 42 51 38 53 90 0e 7d 8e 4b b1 |....l.BQ8S..}.K.| -00000290 91 1a 65 d1 5e b9 8d 08 91 2a 9a f1 25 8a a3 a7 |..e.^....*..%...| -000002a0 21 5d d2 d7 7f e5 27 c8 b0 42 49 4a b9 35 5f df |!]....'..BIJ.5_.| -000002b0 b1 a2 f2 08 b2 5a 3e 5f eb 2b e6 a3 2e 4f ae 48 |.....Z>_.+...O.H| -000002c0 04 f0 f4 c0 43 f1 64 ec 76 9d 12 e7 18 6d 95 ac |....C.d.v....m..| -000002d0 fb 18 f9 3a 0a 4c 35 00 2e ed c7 78 3b 95 66 d0 |...:.L5....x;.f.| -000002e0 41 f0 04 d8 b3 45 fc 16 f7 6a 8c be 2d 30 11 08 |A....E...j..-0..| -000002f0 38 7f d2 07 7c 8f ef 0f 65 32 16 5b 60 9b 54 a1 |8...|...e2.[`.T.| -00000300 ee 97 4a 42 54 f4 4e 87 47 a5 ef e2 54 64 07 49 |..JBT.N.G...Td.I| -00000310 c6 46 d9 f1 75 66 7f 15 2b d6 a7 0c 81 55 21 33 |.F..uf..+....U!3| -00000320 17 03 03 00 99 ba c3 b0 2f a9 6d cc 36 f2 06 8e |......../.m.6...| -00000330 f4 6d 25 d7 b1 48 e0 93 28 7c 17 16 71 23 64 0a |.m%..H..(|..q#d.| -00000340 6d c4 0e 36 c4 90 8c 55 79 a8 ae 4a 38 30 a9 36 |m..6...Uy..J80.6| -00000350 72 1b 29 6f f1 18 50 73 ae bc 3c f9 e6 35 50 5c |r.)o..Ps..<..5P\| -00000360 60 c6 fc b5 a4 ad ed 0e 48 37 72 f3 39 31 d0 5d |`.......H7r.91.]| -00000370 18 63 65 c6 5b 0a 45 5a e7 43 dd 75 57 c9 88 e1 |.ce.[.EZ.C.uW...| -00000380 5c 3d 8f ec fa 4c 5f e4 dd ed 17 d0 24 b8 f5 48 |\=...L_.....$..H| -00000390 61 1d 62 57 db cc 0c c2 3f 90 e6 68 53 2d b0 77 |a.bW....?..hS-.w| -000003a0 65 5f f9 54 92 c6 3f 25 4f 74 7c 7e 12 03 cc 17 |e_.T..?%Ot|~....| -000003b0 97 3d be 92 86 ce 1f 54 88 29 4b a0 32 ff 17 03 |.=.....T.)K.2...| -000003c0 03 00 35 2d 51 83 70 c1 62 f7 8c 4b ab 9b 46 ac |..5-Q.p.b..K..F.| -000003d0 86 19 44 d8 00 ba db 88 af 14 a8 4b ff eb 93 c8 |..D........K....| -000003e0 0c 2c 6e bf 23 5b 9b 3e 8c af 8e 93 d0 9f cb 7b |.,n.#[.>.......{| -000003f0 af ed e5 83 cd 2d db 6d |.....-.m| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 37 |..+.....3.$... 7| +00000060 01 14 41 86 88 58 1c 18 1a 4d 43 f6 e4 79 92 2d |..A..X...MC..y.-| +00000070 18 43 66 17 7a 0d 1d 4b f4 2a ad 3f 42 4a 35 14 |.Cf.z..K.*.?BJ5.| +00000080 03 03 00 01 01 17 03 03 00 24 f2 da dc 02 08 36 |.........$.....6| +00000090 4c 92 45 e4 26 72 50 36 c3 72 d2 98 07 5f 67 9e |L.E.&rP6.r..._g.| +000000a0 e9 27 05 f3 94 32 08 3b d6 d9 51 31 94 4e 17 03 |.'...2.;..Q1.N..| +000000b0 03 02 6d e6 bd c4 eb 83 9c 1d 10 37 27 63 32 1e |..m........7'c2.| +000000c0 38 ee 9b 3f e0 30 e2 de a3 87 7a f0 c6 6f 3f 23 |8..?.0....z..o?#| +000000d0 8d b2 f7 12 b5 e5 3f ed 3c 6c 7e 5c 9d a6 fe 5c |......?.&,..|..| +000001a0 0c c4 63 78 9d f2 c4 c0 1b db 55 e4 4b d4 b2 f1 |..cx......U.K...| +000001b0 f3 06 ef 62 0f cb c9 78 d3 62 9d d1 be 4a f5 dc |...b...x.b...J..| +000001c0 d5 2e 09 10 3c 77 54 3a ac 01 29 b5 e6 0c ca 57 |.....t......| +00000230 8c 7d ff 22 7e 26 67 57 f6 d1 44 da 50 0c 47 49 |.}."~&gW..D.P.GI| +00000240 55 d6 02 50 ed dd 8b c8 e8 69 12 71 59 45 eb d0 |U..P.....i.qYE..| +00000250 65 e6 83 a2 8f 30 c1 9b 31 ac bd 7a 12 fa 64 66 |e....0..1..z..df| +00000260 78 75 d0 69 7f d3 b3 e6 03 1b 4a 22 a2 52 5d a9 |xu.i......J".R].| +00000270 3e a4 ed 31 30 eb 53 b8 8c ca 91 0c 2e 25 42 29 |>..10.S......%B)| +00000280 f1 91 65 8a 52 66 78 df 8b c4 a6 69 7d cf a5 2f |..e.Rfx....i}../| +00000290 8a f0 98 08 f8 70 17 1b d6 12 84 a1 0a eb 91 0d |.....p..........| +000002a0 e0 90 66 10 c9 d3 ec 88 0d ad 49 00 79 b7 83 1b |..f.......I.y...| +000002b0 84 ee 2b 65 71 58 5d ee ea 56 93 c0 8e 60 69 4d |..+eqX]..V...`iM| +000002c0 a5 b8 aa 37 0c 38 b1 98 95 e0 91 dd 28 a5 24 9a |...7.8......(.$.| +000002d0 5a df 98 db 95 a3 1f 43 28 3f a7 35 61 dc 0c 18 |Z......C(?.5a...| +000002e0 42 28 d0 1e 51 ba 9e 95 9b e1 1d 37 95 cc 64 22 |B(..Q......7..d"| +000002f0 87 0f 22 22 6b 41 bb 4b 82 9e 8b 95 cb 89 d3 08 |..""kA.K........| +00000300 c7 be 50 e2 f9 77 bc a6 9b 4e 9f 5d d5 b1 4e f6 |..P..w...N.]..N.| +00000310 c5 20 8c 42 55 46 67 d8 fb 30 d1 90 ce 58 77 5d |. .BUFg..0...Xw]| +00000320 17 03 03 00 99 ba f5 41 5b 9a 46 38 ba 43 4b b7 |.......A[.F8.CK.| +00000330 9d 7a ab ec d3 ac 59 47 79 48 f8 78 02 ab 08 72 |.z....YGyH.x...r| +00000340 76 81 0b 1d ee c6 57 aa ea 6d 13 d1 ce 00 42 ad |v.....W..m....B.| +00000350 4b 92 39 1c 48 89 8c 65 54 ba 5e 6f e2 f7 75 9b |K.9.H..eT.^o..u.| +00000360 f1 de 9a f8 d6 38 f3 bb 10 ac b6 1c f6 48 6e b2 |.....8.......Hn.| +00000370 30 e0 0d 93 e1 27 f4 b2 0d d3 da 17 5c 59 80 50 |0....'......\Y.P| +00000380 48 ac a9 74 2f 13 77 33 b4 29 15 b4 0d 38 eb 17 |H..t/.w3.)...8..| +00000390 44 bd f1 5e e6 20 cf 45 6b db d4 6a a2 9a a8 f5 |D..^. .Ek..j....| +000003a0 4b 9e 9c e2 70 9b ad 22 55 3f b0 a1 df 7e f3 9d |K...p.."U?...~..| +000003b0 fe 6f 2a 09 da e6 03 5c 6e 6c 53 dc 79 0d 17 03 |.o*....\nlS.y...| +000003c0 03 00 35 29 27 2d ff 79 9c c9 35 ee 7a 29 39 f0 |..5)'-.y..5.z)9.| +000003d0 0c dd ba e5 9c ad fe 6f 0a ef 6b 4d d2 37 00 dd |.......o..kM.7..| +000003e0 46 23 dc cc 82 23 e6 b9 17 a8 db 33 f0 f9 b0 e9 |F#...#.....3....| +000003f0 c7 e2 c3 d6 d4 6c c2 e2 |.....l..| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 2a 84 27 a2 e8 |..........5*.'..| -00000010 19 97 47 80 41 9a bf 1d c9 f5 39 ad 8b f5 f2 77 |..G.A.....9....w| -00000020 a9 fe e9 03 74 58 a8 50 29 56 ac 49 6c 3b 42 1a |....tX.P)V.Il;B.| -00000030 19 81 ca 6f 7b 62 93 a8 39 b4 e8 db 66 98 04 82 |...o{b..9...f...| -00000040 17 03 03 00 17 91 98 f7 aa 2e c3 b6 eb 44 22 05 |.............D".| -00000050 47 4d f3 cb 1e b8 a5 1d ab 0c e3 be 17 03 03 00 |GM..............| -00000060 13 56 cf 09 30 15 f1 a8 da c3 01 1d d8 5a 0d 1e |.V..0........Z..| -00000070 f2 67 36 1a |.g6.| +00000000 14 03 03 00 01 01 17 03 03 00 35 78 e6 93 fe 58 |..........5x...X| +00000010 c2 5f b5 1b a7 90 86 ee 51 0a 56 20 6d 12 5f 8b |._......Q.V m._.| +00000020 d7 c3 98 28 eb 4d 8e 0e 03 3c ba 53 c5 bd e2 ba |...(.M...<.S....| +00000030 f0 ab 2e 86 26 24 cc d3 3b b8 f2 4a 62 ed 4b a9 |....&$..;..Jb.K.| +00000040 17 03 03 00 17 0b e0 35 33 70 83 95 46 0e a0 fa |.......53p..F...| +00000050 d0 65 8e 43 48 e4 dc b4 2f e0 a3 2c 17 03 03 00 |.e.CH.../..,....| +00000060 13 3a 94 9b 11 2a 7c 03 1b d1 6a fb b1 6c e0 e3 |.:...*|...j..l..| +00000070 e6 32 58 01 |.2X.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 index 443cb193544..7ec36485424 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 @@ -17,75 +17,75 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 ad ef ab d9 a4 |....z...v.......| -00000010 1b fe b7 af 46 7a c2 05 41 da 48 2d 89 9d 7f 94 |....Fz..A.H-....| -00000020 fa a0 cf a0 3a f1 70 6e 42 b1 bc 20 00 00 00 00 |....:.pnB.. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 5c dd 8e 8f 7c |....z...v..\...|| +00000010 3f f3 e4 d2 27 49 88 d6 a9 2f 13 b1 5f 0f 68 bd |?...'I.../.._.h.| +00000020 bd 7f 7a 6f d0 85 7f 36 34 79 6e 20 00 00 00 00 |..zo...64yn ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 03 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 ad |..+.....3.$... .| -00000060 90 e2 c9 79 fb 9e e3 2a e4 a6 30 25 ee e1 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|{....5N......zuz| -00000380 1d a6 b1 b3 d3 f7 9b 8d 05 be 31 22 99 0d 5e dd |..........1"..^.| -00000390 ac 7e 5e d9 d9 20 dd e7 f9 b5 26 fc 1e 8b d2 18 |.~^.. ....&.....| -000003a0 07 de 46 c4 e6 5d 63 ce 3d 92 88 |..F..]c.=..| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 e7 |..+.....3.$... .| +00000060 cc 48 0d b3 ce 93 ed 0a d1 e6 0c d7 60 67 9a e3 |.H..........`g..| +00000070 1e 8e ef 39 4b 11 43 96 cb 90 4d c7 1d 54 5e 14 |...9K.C...M..T^.| +00000080 03 03 00 01 01 17 03 03 00 17 3c 79 07 24 a4 24 |..........F/.c...S.(K.Q.| +000000d0 e8 9c c3 c3 17 aa 46 8f 93 96 e9 2c e5 0c d2 5a |......F....,...Z| +000000e0 67 fc 37 71 0b b1 12 5c dc 38 ca 17 99 2a 22 a5 |g.7q...\.8...*".| +000000f0 96 d2 ae 1a 94 7a cf 53 e3 86 62 26 ae cd e0 b2 |.....z.S..b&....| +00000100 a9 c7 40 3f 98 ac 0f f5 a8 5d cf 31 4c 93 2b a9 |..@?.....].1L.+.| +00000110 8e d6 a3 43 bc 9e fd d0 dd f1 2d 13 38 76 45 71 |...C......-.8vEq| +00000120 52 0b 17 d3 ce ed b5 05 d4 08 e5 0d c8 34 ca 3c 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|....S.'.......c.| +000002d0 36 04 15 43 03 61 7a 76 3a f4 22 34 b6 88 8e 1f |6..C.azv:."4....| +000002e0 d3 54 0f c2 18 61 f9 0a 66 97 96 39 9e b6 7e a1 |.T...a..f..9..~.| +000002f0 ab 97 30 e6 05 3a 18 2f 9f 37 2a 2c 25 9e 23 c8 |..0..:./.7*,%.#.| +00000300 73 b3 b4 dd 1c 63 7c e8 c4 a9 b5 0a 04 3b 48 7e |s....c|......;H~| +00000310 bc e9 9f e4 4d 82 31 52 51 ba e7 a2 09 93 c6 e1 |....M.1RQ.......| +00000320 80 7f 66 9a 76 db 9e 97 64 fc f0 11 d0 c8 e4 3c |..f.v...d......<| +00000330 0e 73 93 88 e6 e9 4e 0f b2 63 e1 1b 2e 57 eb 4e |.s....N..c...W.N| +00000340 2f 09 0f e4 1b 84 39 b6 43 1f bd 35 bd 6c c2 cf |/.....9.C..5.l..| +00000350 76 f4 ef 27 a1 0d 72 0b 8c 5a 0c ad e4 fa 86 b1 |v..'..r..Z......| +00000360 ad 0d 77 fa c3 75 43 3a 66 46 6e 92 0a d3 7e 19 |..w..uC:fFn...~.| +00000370 5f 17 03 03 00 35 7c 76 6c 7b 96 fa 57 a4 5e 1e |_....5|vl{..W.^.| +00000380 1d 29 36 07 fa fb 90 6c 12 f6 56 e7 3b 25 51 26 |.)6....l..V.;%Q&| +00000390 7f ba ea 46 f6 cc 34 81 e0 28 87 15 76 06 06 47 |...F..4..(..v..G| +000003a0 eb 7c d1 e3 33 19 21 ae 69 25 61 |.|..3.!.i%a| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 d9 c0 4f 94 f1 |..........5..O..| -00000010 eb 19 6d 6e dd f5 a3 84 34 c0 a0 e3 39 68 aa b6 |..mn....4...9h..| -00000020 5f b9 e4 89 16 74 7b 77 ef 43 61 fa 86 5d 40 29 |_....t{w.Ca..]@)| -00000030 30 6b 94 c3 cd a4 48 2e 34 b8 c6 30 17 d4 a8 ff |0k....H.4..0....| -00000040 17 03 03 00 17 1f d3 5a ec 58 ba d5 29 af 5f 9f |.......Z.X..)._.| -00000050 f4 8d 61 c7 6a 14 a7 d6 a0 c5 f9 b8 17 03 03 00 |..a.j...........| -00000060 13 66 78 21 38 f0 b1 6b ae c1 69 26 b8 96 29 98 |.fx!8..k..i&..).| -00000070 33 7a 21 e3 |3z!.| +00000000 14 03 03 00 01 01 17 03 03 00 35 01 d0 e9 30 cb |..........5...0.| +00000010 7b 02 03 93 49 6a 52 8d 2e e9 40 41 3c 5f 98 36 |{...IjR...@A<_.6| +00000020 e4 ae 0c 56 46 4d 03 79 34 6c a3 55 2c 75 e5 82 |...VFM.y4l.U,u..| +00000030 a2 19 1f 32 e2 58 d3 bb be 74 5a 57 4d d8 34 96 |...2.X...tZWM.4.| +00000040 17 03 03 00 17 d6 65 21 83 57 8a dd 7d 0a b3 59 |......e!.W..}..Y| +00000050 f3 35 06 ca a6 5a 78 96 2e 10 3c 00 17 03 03 00 |.5...Zx...<.....| +00000060 13 49 d4 3d 11 6e 1a c2 e7 db 4b 66 90 cf 4f 8b |.I.=.n....Kf..O.| +00000070 16 b0 ee d3 |....| diff --git a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 index 7be579ed025..3e64c23efa5 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 @@ -17,53 +17,53 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 e9 b6 5e 51 86 |....z...v....^Q.| -00000010 9a a7 7b cf 16 9e d8 1b 05 04 cb f3 8d 70 62 af |..{..........pb.| -00000020 cc 91 5f 16 74 ab 5a 47 7f ef 95 20 00 00 00 00 |.._.t.ZG... ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 dc 7a 75 81 4c |....z...v...zu.L| +00000010 ea 77 79 c7 90 80 b8 db d0 48 33 3d 44 18 68 d3 |.wy......H3=D.h.| +00000020 a5 67 6b 8f 89 7f dc 1a 4b fb 59 20 00 00 00 00 |.gk.....K.Y ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 b1 |..+.....3.$... .| -00000060 4a 7c 94 ae a4 17 1f 8f b0 2c 5e 00 ea 9c d6 b9 |J|.......,^.....| -00000070 c6 cc b4 3f 01 ed 38 94 c5 fd d5 04 73 d6 5d 14 |...?..8.....s.].| -00000080 03 03 00 01 01 17 03 03 00 17 e5 d8 0b 47 d9 c5 |.............G..| -00000090 55 14 af e0 95 2f 52 1a 4d eb 1c cf 8a 82 5c 20 |U..../R.M.....\ | -000000a0 61 17 03 03 01 50 bb bb 3d 0a 68 f2 ad 39 3e 98 |a....P..=.h..9>.| -000000b0 0e f0 f6 15 e8 6d ec 4a b4 9c be 25 fa eb 09 4b |.....m.J...%...K| -000000c0 fd e4 03 a3 62 74 d0 d1 3b 02 1c f6 86 f1 3e ec |....bt..;.....>.| -000000d0 c9 45 24 a4 4e 6b d8 c4 7e 24 4e fb eb 12 01 3b |.E$.Nk..~$N....;| -000000e0 ca 44 ec 5b 1e a7 1b d0 1a c4 86 b5 f9 19 91 0a |.D.[............| -000000f0 a8 4e 3b bd 76 26 a0 6f 4e da cf 07 98 90 38 bb |.N;.v&.oN.....8.| -00000100 fe 53 cd 24 59 08 c5 06 12 2c 5b 99 cf 09 c9 a4 |.S.$Y....,[.....| -00000110 1e ed 01 cc af 39 5b 08 b3 45 bd 67 99 e9 d9 59 |.....9[..E.g...Y| -00000120 72 e9 a6 d4 ae 71 c2 a2 e9 ed 49 52 ab 4f 69 0e |r....q....IR.Oi.| -00000130 0a 0b a1 27 19 69 88 75 bc b8 37 ad c1 db ed 36 |...'.i.u..7....6| -00000140 c2 1c 17 06 d9 d9 1f c3 11 89 cb 7f fb 67 ac 11 |.............g..| -00000150 b4 9b cf 4d 64 65 39 3a 64 3f 25 39 5e 93 e4 3c |...Mde9:d?%9^..<| -00000160 0e 33 9d 8c ee e6 a2 fe 12 51 47 a6 81 d2 af 63 |.3.......QG....c| -00000170 42 2a 1d 4b fe e0 09 e5 f6 86 16 c7 82 47 10 af |B*.K.........G..| -00000180 0a 14 58 ed 62 cc 5e 07 af 9f 86 f0 ee 17 81 bc |..X.b.^.........| -00000190 e4 55 1d 50 9a ea e5 5e c4 6e 23 c0 65 c2 53 53 |.U.P...^.n#.e.SS| -000001a0 cc 54 12 aa c7 f9 66 62 84 b4 9f d0 bb 99 0c 0b |.T....fb........| -000001b0 88 8f 8b e2 e7 25 a0 96 c8 da a8 52 d5 7a 5e f0 |.....%.....R.z^.| -000001c0 77 13 44 79 e4 3d f8 3e d0 27 f7 0a 6f 7b fb f9 |w.Dy.=.>.'..o{..| -000001d0 e9 49 b6 ce 4c 5d e3 00 c7 4b e5 dd e5 02 02 a2 |.I..L]...K......| -000001e0 dc e5 aa 7c 76 ea 0d 7e 86 14 3b e4 88 f8 12 27 |...|v..~..;....'| -000001f0 40 86 f6 43 f1 39 17 03 03 00 59 21 4f d3 62 81 |@..C.9....Y!O.b.| -00000200 d8 c5 60 0f e4 ab 8a 68 af d9 d3 ae cb 5e c2 3c |..`....h.....^.<| -00000210 d2 42 12 4d 44 e1 2c fb 80 a1 7d c2 97 62 74 12 |.B.MD.,...}..bt.| -00000220 31 8d 46 16 59 7e cf 96 18 5e 0d c1 2c 05 d3 06 |1.F.Y~...^..,...| -00000230 8c c8 2f 5f 99 f1 62 0a e3 05 1f 72 12 a4 90 c3 |../_..b....r....| -00000240 59 92 6e e4 90 2c 39 8a fb 31 9b 89 8e 56 6c f4 |Y.n..,9..1...Vl.| -00000250 e3 e9 58 f4 17 03 03 00 35 7e 1b cf 69 8e 10 33 |..X.....5~..i..3| -00000260 65 f4 e8 69 b5 37 a6 39 2d e7 0d 70 81 b8 a3 74 |e..i.7.9-..p...t| -00000270 90 d7 ad 9b bb bc 16 ba 9a e2 22 40 ae 4d 57 37 |.........."@.MW7| -00000280 09 60 7f c4 3d 5c 34 5c ae ae 0d 9c 52 12 |.`..=\4\....R.| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 19 |..+.....3.$... .| +00000060 f3 e3 78 22 38 99 71 1a 1d 53 9d 6f 99 71 84 f9 |..x"8.q..S.o.q..| +00000070 60 0d d3 af 79 cc 9b 29 28 9b 93 f2 7a c3 66 14 |`...y..)(...z.f.| +00000080 03 03 00 01 01 17 03 03 00 17 41 17 5e ad 14 a4 |..........A.^...| +00000090 30 44 47 a2 01 ee 79 ad fa f9 dc 31 8d 20 dd 54 |0DG...y....1. .T| +000000a0 7b 17 03 03 01 50 53 4c 44 69 ff 78 8f 36 05 a6 |{....PSLDi.x.6..| +000000b0 ee 35 e1 4c 25 d9 a5 81 2c 74 b6 f5 47 5a 2a a9 |.5.L%...,t..GZ*.| +000000c0 0f 6d 85 41 46 ac 62 43 c6 c7 92 b9 64 25 f4 1c |.m.AF.bC....d%..| +000000d0 5f 1f 1f 39 ec 45 95 fd 32 b5 5f c9 b0 5c 33 7f |_..9.E..2._..\3.| +000000e0 de bf cb 84 ee d2 99 b7 2e a0 c2 ff c7 a6 97 14 |................| +000000f0 cb a9 92 5c 61 51 84 62 e8 69 69 c3 04 d0 03 ca |...\aQ.b.ii.....| +00000100 55 65 b8 38 fc 16 a2 e6 09 a8 44 17 35 ef 40 52 |Ue.8......D.5.@R| +00000110 5f 8b 3e e4 10 18 38 ab 4f 60 68 dd 15 8d 10 b5 |_.>...8.O`h.....| +00000120 c2 f2 3e 75 c8 39 78 f6 d0 48 2e 55 a7 af 1e 83 |..>u.9x..H.U....| +00000130 27 ea 9f f4 9e 56 64 16 df a6 fd bf cc 49 bd 6d |'....Vd......I.m| +00000140 23 1e 43 5a 8f 18 4c f8 47 ff 9b 2f a4 be 8d b8 |#.CZ..L.G../....| +00000150 f8 d3 17 f0 4c 16 e7 fe 61 d3 af 4c fa 16 ad 9b |....L...a..L....| +00000160 09 74 2c 75 85 6d 67 0c c2 6d 0a ad 3d 24 7f cc |.t,u.mg..m..=$..| +00000170 06 3f 43 a9 d0 4b 37 9c 0c be 79 8c 32 04 a4 b4 |.?C..K7...y.2...| +00000180 59 43 b1 0e 69 e1 d7 bf 9a d3 6a 23 58 7b 02 3f |YC..i.....j#X{.?| +00000190 84 ac da 71 10 a6 33 c5 6d 1a 6c 8c ee dc f6 da |...q..3.m.l.....| +000001a0 52 31 5f e0 cf aa b2 92 4e 35 5b 38 a8 12 26 b3 |R1_.....N5[8..&.| +000001b0 8b e7 04 d4 01 ee a5 b6 9e 7c eb 82 b7 40 c1 43 |.........|...@.C| +000001c0 eb fd 65 16 14 34 d4 d8 63 07 e8 87 e9 34 cf 4a |..e..4..c....4.J| +000001d0 d5 38 94 c5 e2 18 fe 1a a2 d6 73 7a 07 66 d6 c6 |.8........sz.f..| +000001e0 35 b7 a1 1d ee 42 b4 4e 3e af fc 1d cd 4d 3f 8f |5....B.N>....M?.| +000001f0 b2 a5 69 7b e0 ab 17 03 03 00 59 58 f5 5c 36 cf |..i{......YX.\6.| +00000200 57 aa a9 37 bf 18 63 8a d3 20 5c aa e3 78 96 e7 |W..7..c.. \..x..| +00000210 fe bc e8 2f 3a 83 09 6c 96 50 c7 01 b0 6c cd 2e |.../:..l.P...l..| +00000220 63 5c 7e f8 fe f9 72 84 dc f7 73 a8 4d 16 a7 84 |c\~...r...s.M...| +00000230 2a 14 49 20 98 2e 69 df 1f 2e a4 3b 0d d9 55 00 |*.I ..i....;..U.| +00000240 bd 18 75 18 46 15 1b 76 d6 d1 8e df a9 8a f6 82 |..u.F..v........| +00000250 90 13 f1 a5 17 03 03 00 35 f4 f1 46 a8 c4 cf 3d |........5..F...=| +00000260 30 74 94 75 36 6e de 22 2e e0 12 e5 8c 24 42 6c |0t.u6n.".....$Bl| +00000270 28 95 18 4e b2 ff fd 16 78 65 b0 90 70 61 6c 18 |(..N....xe..pal.| +00000280 59 7c a6 c0 61 7d b8 c8 87 52 ca 30 a7 24 |Y|..a}...R.0.$| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 ee a8 61 80 38 |..........5..a.8| -00000010 22 86 e2 21 e0 8b e7 77 90 3d d4 93 20 9b 04 30 |"..!...w.=.. ..0| -00000020 ac d4 62 b8 4c d1 76 8a 1c b1 14 7c a0 7a cb a5 |..b.L.v....|.z..| -00000030 b9 46 d4 c8 aa 0b 09 b9 02 29 39 92 99 dd 99 4d |.F.......)9....M| -00000040 17 03 03 00 17 a0 84 78 f8 81 73 eb 0a e1 59 01 |.......x..s...Y.| -00000050 8a 4e 42 b9 f5 15 c8 7c 1b 73 08 ca 17 03 03 00 |.NB....|.s......| -00000060 13 a6 5a 12 6b ab ca 6a 1d 05 75 63 3b 44 03 e4 |..Z.k..j..uc;D..| -00000070 24 7d d1 38 |$}.8| +00000000 14 03 03 00 01 01 17 03 03 00 35 80 c8 42 e9 9e |..........5..B..| +00000010 56 ea 63 c6 86 cb 67 5a 40 be 14 1f d8 99 2a 97 |V.c...gZ@.....*.| +00000020 19 44 27 e1 6f fb 4c 2c 58 fa b0 21 47 5f b7 0d |.D'.o.L,X..!G_..| +00000030 c5 00 85 65 8e 79 09 d4 75 17 b6 dd ba eb ed 99 |...e.y..u.......| +00000040 17 03 03 00 17 38 31 98 fe 28 c5 ad 4d 9d ea 70 |.....81..(..M..p| +00000050 c3 e3 d4 0e 8d 40 1c 2e b0 d3 c9 db 17 03 03 00 |.....@..........| +00000060 13 3e a0 b0 67 c7 76 0b 5a 5f c9 e1 06 3b 68 ab |.>..g.v.Z_...;h.| +00000070 4f 16 66 25 |O.f%| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial index 46efc74ca86..3adcbd6dd38 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial @@ -17,75 +17,75 @@ 000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| 00000100 74 |t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 64 19 48 51 38 |....z...v..d.HQ8| -00000010 9d 7d 1e 0e c0 66 44 0e e8 b4 b0 61 49 c2 47 31 |.}...fD....aI.G1| -00000020 31 10 c9 1b b0 5d e4 13 fb 82 bb 20 00 00 00 00 |1....]..... ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 01 51 b2 92 e7 |....z...v...Q...| +00000010 84 9b d3 d9 77 61 dc aa 09 2e b4 d9 01 f9 44 99 |....wa........D.| +00000020 f5 24 07 43 98 a1 f4 54 93 5f db 20 00 00 00 00 |.$.C...T._. ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 4c |..+.....3.$... 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|.7.F#=...8....oL| +00000340 79 2b 9f 2d 29 29 0f 45 5d 4c 45 fc d6 17 99 2d |y+.-)).E]LE....-| +00000350 86 0b 8e 8a 0b bd f8 3a 0b 35 03 38 15 b7 e5 b3 |.......:.5.8....| +00000360 6e 43 0d 42 19 1c 85 94 30 2a 63 f1 6f 23 af 9d |nC.B....0*c.o#..| +00000370 f2 e8 5a 1b c8 ea 27 00 2e 8d 35 74 19 bc 8f c4 |..Z...'...5t....| +00000380 22 51 9a a4 bb f0 af d0 1b a4 eb ba 1d 85 10 b5 |"Q..............| +00000390 73 06 3b a6 cb 47 ef 39 66 22 ad 77 92 05 00 9e |s.;..G.9f".w....| +000003a0 fe 2f 9b d5 cd 0b 35 c1 ab 30 73 cd 1c 2f 85 c3 |./....5..0s../..| +000003b0 71 17 03 03 00 35 49 f1 13 0b c4 dc 19 6f f7 c2 |q....5I......o..| +000003c0 55 7f 74 02 7b a6 b8 5e 47 d8 cb a5 69 bd 23 10 |U.t.{..^G...i.#.| +000003d0 2a 06 62 48 64 de 59 28 ea 32 63 f9 56 1c ae 90 |*.bHd.Y(.2c.V...| +000003e0 67 b8 e1 51 b0 35 61 65 c2 cc e6 |g..Q.5ae...| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 b2 31 29 a7 bf |..........5.1)..| -00000010 2f 3e 47 fe 9d 96 ef eb e0 fd ea 16 50 c6 e6 9b |/>G.........P...| -00000020 02 0a d2 60 f4 68 e5 71 23 94 78 44 9a da f6 a6 |...`.h.q#.xD....| -00000030 b5 c2 05 5c 42 34 fa 3c 8a 26 0e ff de 55 65 f1 |...\B4.<.&...Ue.| -00000040 17 03 03 00 17 0d 49 ba 61 c7 75 6f 46 db a1 08 |......I.a.uoF...| -00000050 26 c6 5b 03 77 f7 44 4f 62 14 8c 44 |&.[.w.DOb..D| +00000000 14 03 03 00 01 01 17 03 03 00 35 bd f0 7c db c4 |..........5..|..| +00000010 76 29 4a e7 47 6c 35 83 8a 27 57 c8 76 e7 48 4c |v)J.Gl5..'W.v.HL| +00000020 ac fa 0b 22 24 c2 c5 c0 a9 4f 3d c4 3c 98 2c 82 |..."$....O=.<.,.| +00000030 33 c3 e3 1c 82 13 40 5a 75 75 ec 0c 55 85 87 23 |3.....@Zuu..U..#| +00000040 17 03 03 00 17 b7 b2 fc 40 86 e5 9e e6 d5 0b 0e |........@.......| +00000050 92 7d b3 21 56 c3 0d 4f 1a 32 d7 5e |.}.!V..O.2.^| >>> Flow 4 (server to client) -00000000 17 03 03 00 16 6d fc a0 5f 7a 30 61 1b b5 76 be |.....m.._z0a..v.| -00000010 1d c5 3f 89 30 8d 00 f2 df e3 75 |..?.0.....u| +00000000 17 03 03 00 16 77 73 8e 35 9f 5e 51 c1 c3 23 4b |.....ws.5.^Q..#K| +00000010 28 7f a1 ed c2 ee 59 d8 af 4f 60 |(.....Y..O`| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 db c8 50 7e bc 33 ee 4a 29 c8 ea |.......P~.3.J)..| -00000010 92 0b 53 34 60 31 ea c2 dc 27 fa |..S4`1...'.| +00000000 17 03 03 00 16 fc a5 3f 87 d2 53 c9 0d 2d 91 c5 |.......?..S..-..| +00000010 4f d3 78 7e fa 2a 27 d7 2a 01 b0 |O.x~.*'.*..| >>> Flow 6 (server to client) -00000000 17 03 03 00 1a ba 79 87 59 a3 00 e5 15 e4 6f 2c |......y.Y.....o,| -00000010 4a 77 88 f4 e6 3a 40 02 7e c6 16 5c 9b d7 4c |Jw...:@.~..\..L| +00000000 17 03 03 00 1a 92 b9 34 59 80 21 f1 dd 73 09 5f |.......4Y.!..s._| +00000010 6b 27 f2 98 24 b5 11 b3 e7 4a f8 bc 2f 89 83 |k'..$....J../..| >>> Flow 7 (client to server) -00000000 17 03 03 00 1d c3 6d 2d fb 9e 8b 1c fd f0 e7 62 |......m-.......b| -00000010 50 b7 9a fc 6b e4 f0 cc 7d 8f a3 54 d5 ee ac 65 |P...k...}..T...e| -00000020 a2 6f 17 03 03 00 13 6c 3a f1 2e c3 df 42 25 a5 |.o.....l:....B%.| -00000030 43 18 44 01 4c 2c d3 5d 50 9c |C.D.L,.]P.| +00000000 17 03 03 00 1d 0c a0 73 89 6c 4e ec 36 5e af 69 |.......s.lN.6^.i| +00000010 af 86 21 de 70 20 fd e0 37 bb 98 cf 1e f3 fe b1 |..!.p ..7.......| +00000020 7e eb 17 03 03 00 13 c1 cd 6f a1 21 a3 39 d7 d6 |~........o.!.9..| +00000030 05 6c 30 27 ff ac 92 0e 29 ee |.l0'....).| diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index 1808ea4d407..f0ae7f51867 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -816,6 +816,8 @@ func TestCloneNonFuncFields(t *testing.T) { f.Set(reflect.ValueOf(true)) case "MinVersion", "MaxVersion": f.Set(reflect.ValueOf(uint16(VersionTLS12))) + case "AllowKEMTLS": + f.Set(reflect.ValueOf(false)) case "SupportDelegatedCredential": f.Set(reflect.ValueOf(true)) case "SessionTicketKey": @@ -1482,3 +1484,55 @@ func TestPKCS1OnlyCert(t *testing.T) { t.Error(err) } } + +func TestKEMEphemeralTLS13(t *testing.T) { + tests := []CurveID{ + SIKEp434, + Kyber512, + } + + for _, kem := range tests { + clientConfig := testConfig.Clone() + clientConfig.CurvePreferences = []CurveID{kem} + clientConfig.MinVersion = VersionTLS13 + clientConfig.MaxVersion = VersionTLS13 + clientConfig.AllowKEMTLS = true + + serverConfig := testConfig.Clone() + + if _, _, err := testHandshake(t, clientConfig, serverConfig); err == nil { + t.Fatal("Should have failed to connect with KEM-only client") + } + + clientConfig = testConfig.Clone() + clientConfig.AllowKEMTLS = false + + serverConfig = testConfig.Clone() + serverConfig.AllowKEMTLS = true + serverConfig.MinVersion = VersionTLS13 + serverConfig.MaxVersion = VersionTLS13 + serverConfig.CurvePreferences = []CurveID{kem} + + if _, _, err := testHandshake(t, clientConfig, serverConfig); err == nil { + t.Fatal("Should have failed to connect with KEM-only server") + } + + clientConfig.CurvePreferences = []CurveID{X25519} + if _, _, err := testHandshake(t, clientConfig, serverConfig); err == nil { + t.Fatal("Still connected with KEM-only server and no-KEM Client") + } + + serverConfig = testConfig.Clone() + serverConfig.AllowKEMTLS = true + serverConfig.CurvePreferences = []CurveID{kem} + + clientConfig = testConfig.Clone() + clientConfig.AllowKEMTLS = true + clientConfig.CurvePreferences = []CurveID{kem} + clientConfig.MaxVersion = VersionTLS12 + + if _, _, err := testHandshake(t, clientConfig, serverConfig); err == nil { + t.Fatal("Still connected with KEM-only server and TLS 1.2 Client") + } + } +} diff --git a/src/crypto/x509/x509.go b/src/crypto/x509/x509.go index 03b78e611f3..b163660fa28 100644 --- a/src/crypto/x509/x509.go +++ b/src/crypto/x509/x509.go @@ -12,6 +12,7 @@ import ( "crypto/ecdsa" "crypto/ed25519" "crypto/elliptic" + "crypto/kem" "crypto/rsa" "crypto/sha1" "crypto/x509/pkix" @@ -111,6 +112,9 @@ func marshalPublicKey(pub interface{}) (publicKeyBytes []byte, publicKeyAlgorith } publicKeyBytes, _ = pub.MarshalBinary() publicKeyAlgorithm.Algorithm = scheme.Oid() + case *kem.PublicKey: + publicKeyBytes, _ = pub.MarshalBinary() + publicKeyAlgorithm.Algorithm = oidPublicKeyKEMTLS default: return nil, pkix.AlgorithmIdentifier{}, fmt.Errorf("x509: unsupported public key type: %T", pub) } @@ -240,6 +244,7 @@ const ( ECDSA Ed25519 EdDilithium3 + KEMTLS ) var publicKeyAlgoName = [...]string{ @@ -248,6 +253,7 @@ var publicKeyAlgoName = [...]string{ ECDSA: "ECDSA", Ed25519: "Ed25519", EdDilithium3: "Ed25519-Dilithium3", + KEMTLS: "KEMTLS", } func (algo PublicKeyAlgorithm) String() string { @@ -466,6 +472,7 @@ var ( oidPublicKeyDSA = asn1.ObjectIdentifier{1, 2, 840, 10040, 4, 1} oidPublicKeyECDSA = asn1.ObjectIdentifier{1, 2, 840, 10045, 2, 1} oidPublicKeyEd25519 = oidSignatureEd25519 + oidPublicKeyKEMTLS = asn1.ObjectIdentifier{1, 3, 6, 1, 4, 1, 44363, 46, 1} // Cloudflare OID ) func getPublicKeyAlgorithmFromOID(oid asn1.ObjectIdentifier) PublicKeyAlgorithm { @@ -478,6 +485,8 @@ func getPublicKeyAlgorithmFromOID(oid asn1.ObjectIdentifier) PublicKeyAlgorithm return ECDSA case oid.Equal(oidPublicKeyEd25519): return Ed25519 + case oid.Equal(oidPublicKeyKEMTLS): + return KEMTLS default: scheme := circlPki.SchemeByOid(oid) if scheme == nil { @@ -1046,6 +1055,13 @@ func parsePublicKey(algo PublicKeyAlgorithm, keyData *publicKeyInfo) (interface{ pub := make([]byte, ed25519.PublicKeySize) copy(pub, asn1Data) return ed25519.PublicKey(pub), nil + case KEMTLS: + pub := new(kem.PublicKey) + err := pub.UnmarshalBinary(keyData.PublicKey.Bytes) + if err != nil { + return nil, errors.New("x509: wrong KEM identifier") + } + return pub, nil default: if scheme := CirclSchemeByPublicKeyAlgorithm(algo); scheme != nil { if len(keyData.Algorithm.Parameters.FullBytes) != 0 { diff --git a/src/go/build/deps_test.go b/src/go/build/deps_test.go index f8f91f68fc9..219fbf201f7 100644 --- a/src/go/build/deps_test.go +++ b/src/go/build/deps_test.go @@ -402,6 +402,7 @@ var depsRules = ` < golang.org/x/crypto/curve25519 < crypto/dsa, crypto/elliptic, crypto/rsa < crypto/ecdsa + < crypto/kem < CRYPTO-MATH; CRYPTO < golang.org/x/crypto/sha3; From 6b2790db746300ff0cd074601b8a4a83001844c5 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 13 Apr 2021 17:27:20 +0100 Subject: [PATCH 24/69] Address comments from review 1 --- src/crypto/kem/kem.go | 13 +--- src/crypto/tls/auth.go | 72 ++++++++++---------- src/crypto/tls/common.go | 2 +- src/crypto/tls/delegated_credentials_test.go | 2 +- src/crypto/tls/handshake_client_kemtls.go | 2 +- 5 files changed, 42 insertions(+), 49 deletions(-) diff --git a/src/crypto/kem/kem.go b/src/crypto/kem/kem.go index 1bba3b9ed59..1c49523af29 100644 --- a/src/crypto/kem/kem.go +++ b/src/crypto/kem/kem.go @@ -21,11 +21,6 @@ const ( Kyber512 ID = 0x01fc // SIKEp434 is a post-quantum KEM, as defined in: https://sike.org/ . SIKEp434 ID = 0x01fd - - // minimum KEM to be used. - minKEM = KEM25519 - // maximum KEM to be used. - maxKEM = SIKEp434 ) // PrivateKey is a KEM private key. @@ -60,10 +55,6 @@ func (pubKey *PublicKey) UnmarshalBinary(raw []byte) error { } kemID := ID(id) - if kemID < minKEM || kemID > maxKEM { - return errors.New("crypto/kem: invalid KEM type") - } - pubKey.KEMId = kemID pubKey.PublicKey = raw[2:] return nil @@ -113,7 +104,7 @@ func GenerateKey(rand io.Reader, kemID ID) (*PublicKey, *PrivateKey, error) { } // Encapsulate returns a shared secret and a ciphertext. -func Encapsulate(rand io.Reader, pk *PublicKey) ([]byte, []byte, error) { +func Encapsulate(rand io.Reader, pk *PublicKey) (sharedSecret []byte, ciphertext []byte, err error) { switch pk.KEMId { case Kyber512: scheme := schemes.ByName("Kyber512") @@ -167,7 +158,7 @@ func Encapsulate(rand io.Reader, pk *PublicKey) ([]byte, []byte, error) { } // Decapsulate returns the shared secret given the private key and the ciphertext. -func Decapsulate(privateKey *PrivateKey, ciphertext []byte) ([]byte, error) { +func Decapsulate(privateKey *PrivateKey, ciphertext []byte) (sharedSecret []byte, err error) { switch privateKey.KEMId { case Kyber512: scheme := schemes.ByName("Kyber512") diff --git a/src/crypto/tls/auth.go b/src/crypto/tls/auth.go index f6b5247c68d..a5bca3b4e65 100644 --- a/src/crypto/tls/auth.go +++ b/src/crypto/tls/auth.go @@ -274,48 +274,50 @@ func signatureSchemeForDelegatedCredential(version uint16, dc *DelegatedCredenti pub := dc.cred.publicKey var sigAlgs []SignatureScheme - kemPub, ok := pub.(*kem.PublicKey) - if ok { - if kemPub.KEMId == kem.SIKEp434 { + switch pub.(type) { + case *kem.PublicKey: + pk, ok := pub.(*kem.PublicKey) + if !ok { + return nil + } + switch pk.KEMId { + case kem.SIKEp434: sigAlgs = []SignatureScheme{KEMTLSWithSIKEp434} - } else if kemPub.KEMId == kem.Kyber512 { + case kem.Kyber512: sigAlgs = []SignatureScheme{KEMTLSWithKyber512} - } else { + default: return nil } - } else { - switch pub.(type) { - case *ecdsa.PublicKey: - pk, ok := pub.(*ecdsa.PublicKey) - if !ok { - return nil - } - switch pk.Curve { - case elliptic.P256(): - sigAlgs = []SignatureScheme{ECDSAWithP256AndSHA256} - case elliptic.P384(): - sigAlgs = []SignatureScheme{ECDSAWithP384AndSHA384} - case elliptic.P521(): - sigAlgs = []SignatureScheme{ECDSAWithP521AndSHA512} - default: - return nil - } - case ed25519.PublicKey: - sigAlgs = []SignatureScheme{Ed25519} - case circlSign.PublicKey: - pk, ok := pub.(circlSign.PublicKey) - if !ok { - return nil - } - scheme := pk.Scheme() - tlsScheme, ok := scheme.(circlPki.TLSScheme) - if !ok { - return nil - } - sigAlgs = []SignatureScheme{SignatureScheme(tlsScheme.TLSIdentifier())} + case *ecdsa.PublicKey: + pk, ok := pub.(*ecdsa.PublicKey) + if !ok { + return nil + } + switch pk.Curve { + case elliptic.P256(): + sigAlgs = []SignatureScheme{ECDSAWithP256AndSHA256} + case elliptic.P384(): + sigAlgs = []SignatureScheme{ECDSAWithP384AndSHA384} + case elliptic.P521(): + sigAlgs = []SignatureScheme{ECDSAWithP521AndSHA512} default: return nil } + case ed25519.PublicKey: + sigAlgs = []SignatureScheme{Ed25519} + case circlSign.PublicKey: + pk, ok := pub.(circlSign.PublicKey) + if !ok { + return nil + } + scheme := pk.Scheme() + tlsScheme, ok := scheme.(circlPki.TLSScheme) + if !ok { + return nil + } + sigAlgs = []SignatureScheme{SignatureScheme(tlsScheme.TLSIdentifier())} + default: + return nil } return sigAlgs diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 99d0073a895..5bf8f008835 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -1178,7 +1178,7 @@ func supportedVersionsFromMax(maxVersion uint16) []uint16 { } var defaultCurvePreferences = []CurveID{X25519, CurveP256, CurveP384, CurveP521} -var defaultKEMPreferences = []CurveID{SIKEp434, Kyber512} +var defaultKEMPreferences = []CurveID{SIKEp434, Kyber512, X25519, CurveP256, CurveP384, CurveP521} func (c *Config) curvePreferences() []CurveID { if c == nil || len(c.CurvePreferences) == 0 { diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 21b6d56a30c..7c3672b7162 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -503,7 +503,7 @@ func testClientGetCertificate(cr *CertificateRequestInfo) (*Certificate, error) // Tests the handshake and one round of application data. Returns true if the // connection correctly used a Delegated Credential. -func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string, kemtls bool) (bool, bool, error) { +func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string, kemtls bool) (usedDC bool, usedKEMTLS bool, err error) { ln := newLocalListener(t) defer ln.Close() diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 9d6a33cf45b..63f59f20efa 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -149,7 +149,7 @@ func (hs *clientHandshakeStateTLS13) sendKEMClientCertificate() error { if !ok { // it has to be a KEM key c.sendAlert(alertInternalError) - return nil + return errors.New("tls: incorrect certificate found") } certMsg := new(certificateMsgTLS13) From c9516613a187ecb8f601e898af147db8b25089bf Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 18 Apr 2021 00:28:50 +0100 Subject: [PATCH 25/69] Address comments from review 2 --- src/crypto/tls/common.go | 8 ++++---- src/crypto/tls/delegated_credentials_test.go | 12 ++++++------ src/crypto/tls/handshake_client.go | 2 +- src/crypto/tls/handshake_client_tls13.go | 8 ++++---- src/crypto/tls/handshake_server_tls13.go | 2 +- src/crypto/tls/tls_test.go | 12 ++++++------ 6 files changed, 22 insertions(+), 22 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 5bf8f008835..e21688b8ccb 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -862,9 +862,9 @@ type Config struct { // See https://tools.ietf.org/html/draft-ietf-tls-subcerts. SupportDelegatedCredential bool - // AllowKEMTLS is true if the client or server is willing + // KEMTLSEnabled is true if the client or server is willing // to start a KEMTLS handshake based on TLS 1.3. - AllowKEMTLS bool + KEMTLSEnabled bool // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex @@ -956,7 +956,7 @@ func (c *Config) Clone() *Config { Renegotiation: c.Renegotiation, KeyLogWriter: c.KeyLogWriter, SupportDelegatedCredential: c.SupportDelegatedCredential, - AllowKEMTLS: c.AllowKEMTLS, + KEMTLSEnabled: c.KEMTLSEnabled, ECHEnabled: c.ECHEnabled, ClientECHConfigs: c.ClientECHConfigs, ServerECHProvider: c.ServerECHProvider, @@ -1182,7 +1182,7 @@ var defaultKEMPreferences = []CurveID{SIKEp434, Kyber512, X25519, CurveP256, Cur func (c *Config) curvePreferences() []CurveID { if c == nil || len(c.CurvePreferences) == 0 { - if c.AllowKEMTLS { + if c.KEMTLSEnabled { return defaultKEMPreferences } diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 7c3672b7162..70d8ad401fd 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -746,8 +746,8 @@ func TestDCKEMHandshakeServerAuth(t *testing.T) { clientConfig := dcTestConfig.Clone() serverConfig := dcTestConfig.Clone() - clientConfig.AllowKEMTLS = true - serverConfig.AllowKEMTLS = true + clientConfig.KEMTLSEnabled = true + serverConfig.KEMTLSEnabled = true clientConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} serverConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} clientConfig.InsecureSkipVerify = true @@ -789,13 +789,13 @@ func TestDCKEMHandshakeClientAuth(t *testing.T) { serverConfig := dcTestConfig.Clone() serverConfig.ClientAuth = RequestClientKEMCert serverConfig.GetCertificate = testServerGetKEMCertificate - serverConfig.AllowKEMTLS = true + serverConfig.KEMTLSEnabled = true serverConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} clientConfig := dcTestConfig.Clone() clientConfig.GetClientCertificate = testClientGetKEMCertificate clientConfig.SupportDelegatedCredential = true // to force the sending of a KEM DC - clientConfig.AllowKEMTLS = true + clientConfig.KEMTLSEnabled = true clientConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} for i, test := range dcKEMClientTests { @@ -835,8 +835,8 @@ func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { serverConfig.GetCertificate = testServerGetKEMCertificate clientConfig := dcTestConfig.Clone() clientConfig.GetClientCertificate = testClientGetKEMCertificate - clientConfig.AllowKEMTLS = true - serverConfig.AllowKEMTLS = true + clientConfig.KEMTLSEnabled = true + serverConfig.KEMTLSEnabled = true clientConfig.CurvePreferences = []CurveID{Kyber512} serverConfig.CurvePreferences = []CurveID{Kyber512} diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index b7b3189599b..ab3297d7c58 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -129,7 +129,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS if hello.supportedVersions[0] == VersionTLS13 { hello.cipherSuites = append(hello.cipherSuites, defaultCipherSuitesTLS13()...) - if !config.AllowKEMTLS { + if !config.KEMTLSEnabled { curveID := config.curvePreferences()[0] if _, ok := curveForCurveID(curveID); curveID != X25519 && !ok { return nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 38061fe0037..d40682dd758 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -299,7 +299,7 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { c.sendAlert(alertIllegalParameter) return errors.New("tls: server sent an unnecessary HelloRetryRequest key_share") } - } else if c.config.AllowKEMTLS { + } else if c.config.KEMTLSEnabled { if kemShare, ok := keyShare.(*kem.PrivateKey); ok { if CurveID(kemShare.KEMId) == curveID { c.sendAlert(alertIllegalParameter) @@ -312,7 +312,7 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { } - if curveID.isKEM() && c.config.AllowKEMTLS { + if curveID.isKEM() && c.config.KEMTLSEnabled { kemID := kem.ID(curveID) pk, sk, err := kem.GenerateKey(c.config.rand(), kemID) if err != nil { @@ -441,7 +441,7 @@ func (hs *clientHandshakeStateTLS13) processServerHello() error { if hs.serverHello.serverShare.group == ecdheParams.CurveID() { found = true } - } else if c.config.AllowKEMTLS { + } else if c.config.KEMTLSEnabled { kemShare := keyShare.(*kem.PrivateKey) if CurveID(kemShare.KEMId) == hs.serverHello.serverShare.group { found = true @@ -493,7 +493,7 @@ func (hs *clientHandshakeStateTLS13) establishHandshakeKeys() error { for _, keyShare := range hs.keyShare { if params, ok := keyShare.(ecdheParameters); ok && params.CurveID() == hs.serverHello.serverShare.group { sharedKey = params.SharedKey(hs.serverHello.serverShare.data) - } else if c.config.AllowKEMTLS { + } else if c.config.KEMTLSEnabled { if kemPrivate, ok := keyShare.(*kem.PrivateKey); ok && kemPrivate.KEMId == kem.ID(hs.serverHello.serverShare.group) { var err error sharedKey, err = kem.Decapsulate(kemPrivate, hs.serverHello.serverShare.data) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 14e1353484b..0926f3f0a51 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -311,7 +311,7 @@ GroupSelection: clientKeyShare = &hs.clientHello.keyShares[0] } - if selectedGroup.isKEM() && c.config.AllowKEMTLS { + if selectedGroup.isKEM() && c.config.KEMTLSEnabled { sharedKey, ciphertext, err := kem.Encapsulate(c.config.rand(), &kem.PublicKey{KEMId: kem.ID(selectedGroup), PublicKey: clientKeyShare.data}) if err != nil { c.sendAlert(alertInternalError) diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index f0ae7f51867..4cedc5750e1 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -816,7 +816,7 @@ func TestCloneNonFuncFields(t *testing.T) { f.Set(reflect.ValueOf(true)) case "MinVersion", "MaxVersion": f.Set(reflect.ValueOf(uint16(VersionTLS12))) - case "AllowKEMTLS": + case "KEMTLSEnabled": f.Set(reflect.ValueOf(false)) case "SupportDelegatedCredential": f.Set(reflect.ValueOf(true)) @@ -1496,7 +1496,7 @@ func TestKEMEphemeralTLS13(t *testing.T) { clientConfig.CurvePreferences = []CurveID{kem} clientConfig.MinVersion = VersionTLS13 clientConfig.MaxVersion = VersionTLS13 - clientConfig.AllowKEMTLS = true + clientConfig.KEMTLSEnabled = true serverConfig := testConfig.Clone() @@ -1505,10 +1505,10 @@ func TestKEMEphemeralTLS13(t *testing.T) { } clientConfig = testConfig.Clone() - clientConfig.AllowKEMTLS = false + clientConfig.KEMTLSEnabled = false serverConfig = testConfig.Clone() - serverConfig.AllowKEMTLS = true + serverConfig.KEMTLSEnabled = true serverConfig.MinVersion = VersionTLS13 serverConfig.MaxVersion = VersionTLS13 serverConfig.CurvePreferences = []CurveID{kem} @@ -1523,11 +1523,11 @@ func TestKEMEphemeralTLS13(t *testing.T) { } serverConfig = testConfig.Clone() - serverConfig.AllowKEMTLS = true + serverConfig.KEMTLSEnabled = true serverConfig.CurvePreferences = []CurveID{kem} clientConfig = testConfig.Clone() - clientConfig.AllowKEMTLS = true + clientConfig.KEMTLSEnabled = true clientConfig.CurvePreferences = []CurveID{kem} clientConfig.MaxVersion = VersionTLS12 From 1c629c9d33bb17d91789dde97bd71b61a34962bd Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 18 Apr 2021 17:25:15 +0100 Subject: [PATCH 26/69] Some fixes --- src/crypto/tls/common.go | 2 ++ src/crypto/tls/handshake_client_kemtls.go | 2 +- src/crypto/tls/handshake_server_kemtls.go | 2 +- 3 files changed, 4 insertions(+), 2 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index e21688b8ccb..39ea168e76c 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -635,6 +635,8 @@ type Config struct { // If Rand is nil, TLS uses the cryptographic random reader in package // crypto/rand. // The Reader must be safe for use by multiple goroutines. + // NOTE: it also provides a source of randomness for kemtls encapsulation + // mechanisms. Rand io.Reader // Time returns the current time as the number of seconds since the epoch. diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 63f59f20efa..781faec515f 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -67,7 +67,7 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { } } - ss, ct, err := kem.Encapsulate(hs.c.config.Rand, pk) + ss, ct, err := kem.Encapsulate(hs.c.config.rand(), pk) if err != nil { return err } diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 1274fe9cb00..1122cd62804 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -176,7 +176,7 @@ func (hs *serverHandshakeStateTLS13) sendServerKEMCiphertext() error { } } - ss, ct, err := kem.Encapsulate(hs.c.config.Rand, pk) + ss, ct, err := kem.Encapsulate(hs.c.config.rand(), pk) if err != nil { return err } From 574b29b4b35922a350bbf575b5e0afb323b5564e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 18 Apr 2021 20:11:49 +0100 Subject: [PATCH 27/69] Add timings for kemtls --- src/crypto/tls/handshake_client_kemtls.go | 8 ++++++++ src/crypto/tls/handshake_client_tls13.go | 1 + src/crypto/tls/handshake_server_kemtls.go | 11 +++++++++-- src/crypto/tls/handshake_server_tls13.go | 2 ++ src/crypto/tls/tls_cf.go | 24 +++++++++++++++-------- 5 files changed, 36 insertions(+), 10 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 781faec515f..27412f0fa20 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -43,6 +43,7 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { return err } + c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -86,6 +87,8 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { return err } + hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() + // AHS <- HKDF.Extract(dHS, ss_s) ahs := hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) @@ -195,6 +198,8 @@ func (hs *clientHandshakeStateTLS13) readServerKEMCiphertext() error { } hs.transcript.Write(kexMsg.marshal()) + hs.handshakeTimings.ReadKEMCiphertext = hs.handshakeTimings.elapsedTime() + ss, err := kem.Decapsulate(sk, kexMsg.key) if err != nil { return err @@ -226,6 +231,7 @@ func (hs *clientHandshakeStateTLS13) sendKEMTLSClientFinished() error { if _, err := c.writeRecord(recordTypeHandshake, finished.marshal()); err != nil { return err } + hs.handshakeTimings.WriteClientFinished = hs.handshakeTimings.elapsedTime() // CATS <- HKDF.Expand(MS, "c ap traffic", CH..CF) hs.trafficSecret = hs.suite.deriveSecret(hs.masterSecret, @@ -255,6 +261,8 @@ func (hs *clientHandshakeStateTLS13) processKEMTLSServerFinished() error { return unexpectedMessageError(finished, msg) } + hs.handshakeTimings.ReadServerFinished = hs.handshakeTimings.elapsedTime() + // HMAC(fk_s , CH..CF) expectedMAC := hs.suite.finishedHashKEMTLS(hs.masterSecret, "s", hs.transcript) if !hmac.Equal(expectedMAC, finished.verifyData) { diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index d40682dd758..b9f62678bbc 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -693,6 +693,7 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { if hs.keyKEMShare { hs.isKEMTLS = true + hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() } else { c.sendAlert(alertInternalError) return errors.New("tls: received a KEM certificate without using KEMTLS") diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 1122cd62804..5247f1dcc10 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -33,6 +33,7 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { return err } + c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -59,6 +60,7 @@ func (hs *serverHandshakeStateTLS13) readClientKEMCiphertext() error { } hs.transcript.Write(kexMsg.marshal()) + hs.handshakeTimings.ReadKEMCiphertext = hs.handshakeTimings.elapsedTime() ss, err := kem.Decapsulate(sk, kexMsg.ciphertext) if err != nil { @@ -116,6 +118,8 @@ func (hs *serverHandshakeStateTLS13) readClientKEMCertificate() error { } hs.transcript.Write(certMsg.marshal()) + hs.handshakeTimings.ReadCertificate = hs.handshakeTimings.elapsedTime() + if err := c.processCertsFromClient(certMsg.certificate); err != nil { return err } @@ -127,8 +131,6 @@ func (hs *serverHandshakeStateTLS13) readClientKEMCertificate() error { } } - hs.handshakeTimings.ReadCertificate = hs.handshakeTimings.elapsedTime() - if len(certMsg.certificate.Certificate) != 0 { if certMsg.delegatedCredential { if err := hs.processDelegatedCredentialFromClient(certMsg.certificate.DelegatedCredential, nil); err != nil { @@ -194,6 +196,7 @@ func (hs *serverHandshakeStateTLS13) sendServerKEMCiphertext() error { if err != nil { return err } + hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() // MS <- HKDF.Extract(dAHS, ssC) hs.masterSecret = hs.suite.extract(ss, hs.handshakeSecret) @@ -216,6 +219,8 @@ func (hs *serverHandshakeStateTLS13) readKEMTLSClientFinished() error { return unexpectedMessageError(finished, msg) } + hs.handshakeTimings.ReadClientFinished = hs.handshakeTimings.elapsedTime() + if !hs.isClientAuthKEMTLS { // compute MS // MS <- HKDF.Extract(dAHS, 0) @@ -260,6 +265,8 @@ func (hs *serverHandshakeStateTLS13) writeKEMTLSServerFinished() error { return err } + hs.handshakeTimings.WriteServerFinished = hs.handshakeTimings.elapsedTime() + // TS <- HKDF.Expand(MS, "s ap traffic", CH..SF) hs.trafficSecret = hs.suite.deriveSecret(hs.masterSecret, serverApplicationTrafficLabel, hs.transcript) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 0926f3f0a51..515fab64fa0 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -880,6 +880,8 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { return err } + hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() + } else { hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() } diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go index 94c95ab33af..d293de2e77d 100644 --- a/src/crypto/tls/tls_cf.go +++ b/src/crypto/tls/tls_cf.go @@ -76,10 +76,14 @@ type CFEventTLS13ClientHandshakeTimingInfo struct { ReadEncryptedExtensions time.Duration ReadCertificate time.Duration ReadCertificateVerify time.Duration - ReadServerFinished time.Duration - WriteCertificate time.Duration - WriteCertificateVerify time.Duration - WriteClientFinished time.Duration + + ReadServerFinished time.Duration + WriteCertificate time.Duration + WriteCertificateVerify time.Duration + WriteClientFinished time.Duration + + WriteKEMCiphertext time.Duration + ReadKEMCiphertext time.Duration } // Name is required by the CFEvent interface. @@ -119,10 +123,14 @@ type CFEventTLS13ServerHandshakeTimingInfo struct { WriteEncryptedExtensions time.Duration WriteCertificate time.Duration WriteCertificateVerify time.Duration - WriteServerFinished time.Duration - ReadCertificate time.Duration - ReadCertificateVerify time.Duration - ReadClientFinished time.Duration + + WriteServerFinished time.Duration + ReadCertificate time.Duration + ReadCertificateVerify time.Duration + ReadClientFinished time.Duration + + ReadKEMCiphertext time.Duration + WriteKEMCiphertext time.Duration } // Name is required by the CFEvent interface. From b3cfe3b4b3ca4abdda71a87b74d6437c25172f83 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 18 Apr 2021 20:35:55 +0100 Subject: [PATCH 28/69] Address comments from review 3 --- src/crypto/tls/common.go | 4 ---- src/crypto/tls/common_string.go | 9 ++++----- src/crypto/tls/delegated_credentials_test.go | 4 ++-- src/crypto/tls/handshake_server_kemtls.go | 2 +- 4 files changed, 7 insertions(+), 12 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 39ea168e76c..737ab211515 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -395,10 +395,6 @@ const ( // during the handshake, but does not require that the client send any // certificates. RequestClientCert - // RequestClientKEMCert indicates that a client certificate with a KEM - // public key should be requested during the handshake, but does not - // require that the client send any certificates. - RequestClientKEMCert // RequireAnyClientCert indicates that a client certificate should be requested // during the handshake, and that at least one certificate is required to be // sent by the client, but that certificate is not required to be valid. diff --git a/src/crypto/tls/common_string.go b/src/crypto/tls/common_string.go index 04b2e890b5d..238108811f2 100644 --- a/src/crypto/tls/common_string.go +++ b/src/crypto/tls/common_string.go @@ -99,13 +99,12 @@ func _() { var x [1]struct{} _ = x[NoClientCert-0] _ = x[RequestClientCert-1] - _ = x[RequestClientKEMCert-2] - _ = x[RequireAnyClientCert-3] - _ = x[VerifyClientCertIfGiven-4] - _ = x[RequireAndVerifyClientCert-5] + _ = x[RequireAnyClientCert-2] + _ = x[VerifyClientCertIfGiven-3] + _ = x[RequireAndVerifyClientCert-4] } -const _ClientAuthType_name = "NoClientCertRequestClientCertRequestClientKEMRequireAnyClientCertVerifyClientCertIfGivenRequireAndVerifyClientCert" +const _ClientAuthType_name = "NoClientCertRequestClientCertRequireAnyClientCertVerifyClientCertIfGivenRequireAndVerifyClientCert" var _ClientAuthType_index = [...]uint8{0, 12, 29, 49, 72, 98} diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 70d8ad401fd..a28f0931997 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -787,7 +787,7 @@ func TestDCKEMHandshakeClientAuth(t *testing.T) { serverMsg := "hello, client" serverConfig := dcTestConfig.Clone() - serverConfig.ClientAuth = RequestClientKEMCert + serverConfig.ClientAuth = RequestClientCert serverConfig.GetCertificate = testServerGetKEMCertificate serverConfig.KEMTLSEnabled = true serverConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} @@ -831,7 +831,7 @@ func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { serverMsg := "hello, client" serverConfig := dcTestConfig.Clone() - serverConfig.ClientAuth = RequestClientKEMCert + serverConfig.ClientAuth = RequestClientCert serverConfig.GetCertificate = testServerGetKEMCertificate clientConfig := dcTestConfig.Clone() clientConfig.GetClientCertificate = testClientGetKEMCertificate diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 5247f1dcc10..46d45de1849 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -86,7 +86,7 @@ func (hs *serverHandshakeStateTLS13) readClientKEMCiphertext() error { } func (hs *serverHandshakeStateTLS13) requestClientKEMCert() bool { - return hs.c.config.ClientAuth >= RequestClientKEMCert && !hs.usingPSK + return hs.c.config.ClientAuth >= RequestClientCert && !hs.usingPSK } func (hs *serverHandshakeStateTLS13) readClientKEMCertificate() error { From 5f70419b84a90ff870aac35acce80fe448b4ab4e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 18 Apr 2021 20:49:14 +0100 Subject: [PATCH 29/69] Change oid --- src/crypto/x509/x509.go | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/crypto/x509/x509.go b/src/crypto/x509/x509.go index b163660fa28..43c03394502 100644 --- a/src/crypto/x509/x509.go +++ b/src/crypto/x509/x509.go @@ -472,7 +472,7 @@ var ( oidPublicKeyDSA = asn1.ObjectIdentifier{1, 2, 840, 10040, 4, 1} oidPublicKeyECDSA = asn1.ObjectIdentifier{1, 2, 840, 10045, 2, 1} oidPublicKeyEd25519 = oidSignatureEd25519 - oidPublicKeyKEMTLS = asn1.ObjectIdentifier{1, 3, 6, 1, 4, 1, 44363, 46, 1} // Cloudflare OID + oidPublicKeyKEMTLS = asn1.ObjectIdentifier{1, 3, 6, 1, 4, 1, 44363, 45, 11} // Cloudflare OID ) func getPublicKeyAlgorithmFromOID(oid asn1.ObjectIdentifier) PublicKeyAlgorithm { From bf39098a0d3c8c805418bcf15d8ab996e19a64e9 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Mon, 19 Apr 2021 21:16:04 +0100 Subject: [PATCH 30/69] Add pqtls: server auth --- src/crypto/tls/auth.go | 6 + src/crypto/tls/common.go | 32 +- src/crypto/tls/delegated_credentials.go | 17 +- src/crypto/tls/delegated_credentials_test.go | 125 +++- src/crypto/tls/handshake_client.go | 4 +- src/crypto/tls/handshake_client_tls13.go | 8 +- src/crypto/tls/handshake_server_tls13.go | 2 +- .../Client-TLSv10-ClientCert-ECDSA-ECDSA | 102 ++-- .../Client-TLSv10-ClientCert-ECDSA-RSA | 98 ++-- .../Client-TLSv10-ClientCert-RSA-ECDSA | 98 ++-- .../testdata/Client-TLSv10-ClientCert-RSA-RSA | 96 +-- .../testdata/Client-TLSv10-ECDHE-ECDSA-AES | 80 +-- .../tls/testdata/Client-TLSv10-ECDHE-RSA-AES | 78 +-- .../Client-TLSv10-ExportKeyingMaterial | 78 +-- src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 | 46 +- .../testdata/Client-TLSv11-ECDHE-ECDSA-AES | 80 +-- .../tls/testdata/Client-TLSv11-ECDHE-RSA-AES | 78 +-- src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 | 46 +- .../testdata/Client-TLSv12-AES128-GCM-SHA256 | 50 +- .../tls/testdata/Client-TLSv12-AES128-SHA256 | 64 +- .../testdata/Client-TLSv12-AES256-GCM-SHA384 | 50 +- src/crypto/tls/testdata/Client-TLSv12-ALPN | 70 +-- .../Client-TLSv12-ClientCert-ECDSA-ECDSA | 102 ++-- .../Client-TLSv12-ClientCert-ECDSA-RSA | 94 +-- .../testdata/Client-TLSv12-ClientCert-Ed25519 | 78 +-- ...nt-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 | 90 +-- .../Client-TLSv12-ClientCert-RSA-ECDSA | 98 ++-- .../testdata/Client-TLSv12-ClientCert-RSA-RSA | 90 +-- .../Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 | 90 +-- .../Client-TLSv12-ClientCert-RSA-RSAPSS | 90 +-- .../testdata/Client-TLSv12-ECDHE-ECDSA-AES | 80 +-- .../Client-TLSv12-ECDHE-ECDSA-AES-GCM | 74 +-- .../Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 | 88 +-- ...lient-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 | 76 +-- ...lient-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 | 72 +-- .../tls/testdata/Client-TLSv12-ECDHE-RSA-AES | 78 +-- .../Client-TLSv12-ECDHE-RSA-AES128-SHA256 | 86 +-- .../Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 | 68 +-- src/crypto/tls/testdata/Client-TLSv12-Ed25519 | 60 +- .../Client-TLSv12-ExportKeyingMaterial | 68 +-- .../tls/testdata/Client-TLSv12-P256-ECDHE | 82 +-- src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 | 46 +- .../testdata/Client-TLSv12-RenegotiateOnce | 364 ++++++------ .../testdata/Client-TLSv12-RenegotiateTwice | 554 +++++++++--------- .../Client-TLSv12-RenegotiateTwiceRejected | 370 ++++++------ .../Client-TLSv12-RenegotiationRejected | 74 +-- src/crypto/tls/testdata/Client-TLSv12-SCT | 68 +-- .../tls/testdata/Client-TLSv12-X25519-ECDHE | 74 +-- .../tls/testdata/Client-TLSv13-AES128-SHA256 | 154 ++--- .../tls/testdata/Client-TLSv13-AES256-SHA384 | 158 ++--- src/crypto/tls/testdata/Client-TLSv13-ALPN | 158 ++--- .../testdata/Client-TLSv13-CHACHA20-SHA256 | 154 ++--- .../Client-TLSv13-ClientCert-ECDSA-RSA | 252 ++++---- .../testdata/Client-TLSv13-ClientCert-Ed25519 | 218 +++---- .../Client-TLSv13-ClientCert-RSA-ECDSA | 241 ++++---- .../Client-TLSv13-ClientCert-RSA-RSAPSS | 260 ++++---- src/crypto/tls/testdata/Client-TLSv13-ECDSA | 146 ++--- src/crypto/tls/testdata/Client-TLSv13-Ed25519 | 110 ++-- .../Client-TLSv13-ExportKeyingMaterial | 154 ++--- .../testdata/Client-TLSv13-HelloRetryRequest | 174 +++--- .../tls/testdata/Client-TLSv13-KeyUpdate | 170 +++--- .../tls/testdata/Client-TLSv13-P256-ECDHE | 162 ++--- .../tls/testdata/Client-TLSv13-X25519-ECDHE | 156 ++--- ...er-TLSv12-ClientAuthRequestedAndECDSAGiven | 80 +-- ...-TLSv12-ClientAuthRequestedAndEd25519Given | 170 +++--- .../Server-TLSv12-ClientAuthRequestedAndGiven | 80 +-- ...TLSv12-ClientAuthRequestedAndPKCS1v15Given | 80 +-- .../Server-TLSv12-ClientAuthRequestedNotGiven | 62 +- ...er-TLSv13-ClientAuthRequestedAndECDSAGiven | 345 ++++++----- ...-TLSv13-ClientAuthRequestedAndEd25519Given | 285 +++++---- .../Server-TLSv13-ClientAuthRequestedAndGiven | 341 ++++++----- .../Server-TLSv13-ClientAuthRequestedNotGiven | 195 +++--- src/crypto/tls/tls_cf.go | 2 + src/crypto/tls/tls_test.go | 2 + src/crypto/x509/x509.go | 19 +- src/crypto/x509/x509_cf.go | 2 + 76 files changed, 4455 insertions(+), 4297 deletions(-) diff --git a/src/crypto/tls/auth.go b/src/crypto/tls/auth.go index a5bca3b4e65..47198657544 100644 --- a/src/crypto/tls/auth.go +++ b/src/crypto/tls/auth.go @@ -121,6 +121,10 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType sigType = signatureEd25519 case KEMTLSWithSIKEp434, KEMTLSWithKyber512: sigType = authKEMTLS + case PQTLSWithDilithium3: + sigType = signatureEdDilithium3 + case PQTLSWithDilithium4: + sigType = signatureEdDilithium4 default: scheme := circlPki.SchemeByTLSID(uint(signatureAlgorithm)) if scheme == nil { @@ -145,6 +149,8 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType hash = directSigning case KEMTLSWithSIKEp434, KEMTLSWithKyber512: hash = directSigning + case PQTLSWithDilithium3, PQTLSWithDilithium4: + hash = directSigning default: scheme := circlPki.SchemeByTLSID(uint(signatureAlgorithm)) if scheme == nil { diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 737ab211515..3c87d14b895 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -182,6 +182,7 @@ const ( signatureECDSA signatureEd25519 signatureEdDilithium3 + signatureEdDilithium4 authKEMTLS // for the KEMTLS ) @@ -220,8 +221,13 @@ var supportedSignatureAlgorithmsDC = []SignatureScheme{ // authentication algorithms for KEMTLS. They are restricted for usage with Delegated // Credentials. - KEMTLSWithSIKEp434, KEMTLSWithKyber512, + KEMTLSWithSIKEp434, + + // authentication algorithms for PQTLS. They are restricted for usage with Delegated + // Credentials. + PQTLSWithDilithium3, + PQTLSWithDilithium4, } // helloRetryRequestRandom is set as the Random value of a ServerHello @@ -491,6 +497,11 @@ const ( // NOTE: Do not use outside of the experiment. KEMTLSWithSIKEp434 SignatureScheme = 0xfe00 KEMTLSWithKyber512 SignatureScheme = 0xfe01 + + // PQTLS algorithms for the Post-Quantum Cryptography experiment. + // NOTE: Do not use outside of the experiment. + PQTLSWithDilithium3 SignatureScheme = 0xfe61 + PQTLSWithDilithium4 SignatureScheme = 0xfe62 ) func (scheme SignatureScheme) isKEMTLS() bool { @@ -502,6 +513,15 @@ func (scheme SignatureScheme) isKEMTLS() bool { } } +func (scheme SignatureScheme) isPQTLS() bool { + switch scheme { + case PQTLSWithDilithium3, PQTLSWithDilithium4: + return true + default: + return false + } +} + // ClientHelloInfo contains information from a ClientHello message in order to // guide application logic in the GetCertificate and GetConfigForClient callbacks. type ClientHelloInfo struct { @@ -864,6 +884,11 @@ type Config struct { // to start a KEMTLS handshake based on TLS 1.3. KEMTLSEnabled bool + // PQTLSEnabled is true if the client or server is willing + // to start a PQTLS handshake (PQ KEMs for confidentiality and PQ Signatures for + // authentication based on TLS 1.3. + PQTLSEnabled bool + // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex // sessionTicketKeys contains zero or more ticket keys. If set, it means the @@ -955,6 +980,7 @@ func (c *Config) Clone() *Config { KeyLogWriter: c.KeyLogWriter, SupportDelegatedCredential: c.SupportDelegatedCredential, KEMTLSEnabled: c.KEMTLSEnabled, + PQTLSEnabled: c.PQTLSEnabled, ECHEnabled: c.ECHEnabled, ClientECHConfigs: c.ClientECHConfigs, ServerECHProvider: c.ServerECHProvider, @@ -1176,11 +1202,11 @@ func supportedVersionsFromMax(maxVersion uint16) []uint16 { } var defaultCurvePreferences = []CurveID{X25519, CurveP256, CurveP384, CurveP521} -var defaultKEMPreferences = []CurveID{SIKEp434, Kyber512, X25519, CurveP256, CurveP384, CurveP521} +var defaultKEMPreferences = []CurveID{Kyber512, SIKEp434, X25519, CurveP256, CurveP384, CurveP521} func (c *Config) curvePreferences() []CurveID { if c == nil || len(c.CurvePreferences) == 0 { - if c.KEMTLSEnabled { + if c.KEMTLSEnabled || c.PQTLSEnabled { return defaultKEMPreferences } diff --git a/src/crypto/tls/delegated_credentials.go b/src/crypto/tls/delegated_credentials.go index 3cb2fddea18..2936e486dd1 100644 --- a/src/crypto/tls/delegated_credentials.go +++ b/src/crypto/tls/delegated_credentials.go @@ -27,6 +27,8 @@ import ( "errors" "fmt" "io" + + "circl/sign/schemes" "time" "golang.org/x/crypto/cryptobyte" @@ -128,7 +130,8 @@ func (cred *credential) marshalPublicKeyInfo() ([]byte, error) { ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512, Ed25519, - KEMTLSWithSIKEp434, KEMTLSWithKyber512: + KEMTLSWithSIKEp434, KEMTLSWithKyber512, + PQTLSWithDilithium3, PQTLSWithDilithium4: rawPub, err := x509.MarshalPKIXPublicKey(cred.publicKey) if err != nil { return nil, err @@ -376,6 +379,18 @@ func NewDelegatedCredential(cert *Certificate, pubAlgo SignatureScheme, validTim if err != nil { return nil, nil, err } + case PQTLSWithDilithium3: + scheme := schemes.ByName("Ed25519-Dilithium3") + pubK, privK, err = scheme.GenerateKey() + if err != nil { + return nil, nil, err + } + case PQTLSWithDilithium4: + scheme := schemes.ByName("Ed448-Dilithium4") + pubK, privK, err = scheme.GenerateKey() + if err != nil { + return nil, nil, err + } default: return nil, nil, fmt.Errorf("tls: unsupported algorithm for Delegated Credential: %T", pubAlgo) } diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index a28f0931997..c63a35d7700 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -130,15 +130,21 @@ ZyJKvc2KqjGeZh0Or5pq6ZJb0zR7WPdz5aJIzaZ5YcxLMSv0KwaAEPH2 ` var ( - dcTestConfig *Config - dcTestCerts map[string]*Certificate - serverDC []DelegatedCredentialPair - serverKEMDC []DelegatedCredentialPair - clientDC []DelegatedCredentialPair - clientKEMDC []DelegatedCredentialPair + dcTestConfig *Config + dcTestCerts map[string]*Certificate + + serverDC []DelegatedCredentialPair + serverKEMDC []DelegatedCredentialPair + serverPQDC []DelegatedCredentialPair + + clientDC []DelegatedCredentialPair + clientKEMDC []DelegatedCredentialPair + clientPQDC []DelegatedCredentialPair + dcNow time.Time dcTestDCSignatureScheme = []SignatureScheme{ECDSAWithP256AndSHA256, Ed25519, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512} dcTestDCKEMScheme = []SignatureScheme{KEMTLSWithSIKEp434, KEMTLSWithKyber512} + dcTestDCPQScheme = []SignatureScheme{PQTLSWithDilithium3, PQTLSWithDilithium4} ) func init() { @@ -266,6 +272,20 @@ func initDCTest() { } clientKEMDC = append(clientKEMDC, DelegatedCredentialPair{dc, priv}) } + + for i := 0; i < len(dcTestDCPQScheme); i++ { + dc, priv, err := NewDelegatedCredential(dcCertP256, dcTestDCPQScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, false) + if err != nil { + panic(err) + } + serverPQDC = append(serverPQDC, DelegatedCredentialPair{dc, priv}) + + dc, priv, err = NewDelegatedCredential(dcCertP256, dcTestDCPQScheme[i], dcNow.Sub(dcCertP256.Leaf.NotBefore)+dcMaxTTL, true) + if err != nil { + panic(err) + } + clientPQDC = append(clientPQDC, DelegatedCredentialPair{dc, priv}) + } } func publicKeysEqual(publicKey, publicKey2 crypto.PublicKey, algo SignatureScheme) error { @@ -748,8 +768,8 @@ func TestDCKEMHandshakeServerAuth(t *testing.T) { serverConfig := dcTestConfig.Clone() clientConfig.KEMTLSEnabled = true serverConfig.KEMTLSEnabled = true - clientConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} - serverConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} + clientConfig.CurvePreferences = []CurveID{Kyber512, SIKEp434} + serverConfig.CurvePreferences = []CurveID{Kyber512, SIKEp434} clientConfig.InsecureSkipVerify = true for i, test := range dcKEMServerTests { @@ -862,3 +882,92 @@ func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { t.Errorf("test server and client auth with kems did not use kemtls") } } + +var dcPQServerTests = []struct { + clientDCSupport bool + clientMaxVers uint16 + serverMaxVers uint16 + expectSuccess bool + expectDC bool + name string +}{ + {true, VersionTLS13, VersionTLS13, true, true, "tls13: DC client support"}, +} + +// Checks that the client suppports a version >= 1.3 and accepts Delegated +// Credentials with KEMs. If so, it returns the delegation certificate; otherwise it +// returns a non-delegated certificate. +func testServerGetPQCertificate(ch *ClientHelloInfo) (*Certificate, error) { + versOk := false + for _, vers := range ch.SupportedVersions { + versOk = versOk || (vers >= uint16(VersionTLS13)) + } + + if versOk && ch.SupportsDelegatedCredential { + serverCert := dcTestCerts["dcP256"] + serverCert.DelegatedCredentials = serverPQDC[dcCount:] + return serverCert, nil + } + return dcTestCerts["no dc"], nil + +} + +// Checks that the client suppports a version >= 1.3 and accepts Delegated +// Credentials with KEMs. If so, it returns the delegation certificate; otherwise it +// returns a non-Delegated certificate. +func testClientGetPQCertificate(cr *CertificateRequestInfo) (*Certificate, error) { + versOk := false + if cr.Version == VersionTLS13 { + versOk = true + } + + if versOk && cr.SupportsDelegatedCredential { + clientCert := dcTestCerts["dcP256"] + clientCert.DelegatedCredentials = clientPQDC[dcCount:] + return clientCert, nil + } + return dcTestCerts["no dc"], nil + +} + +// Test the server authentication with the Delegated Credential extension using +// KEMs. +func TestDCPQHandshakeServerAuth(t *testing.T) { + serverMsg := "hello, client" + clientMsg := "hello, server" + + clientConfig := dcTestConfig.Clone() + serverConfig := dcTestConfig.Clone() + clientConfig.PQTLSEnabled = true + serverConfig.PQTLSEnabled = true + clientConfig.CurvePreferences = []CurveID{Kyber512, SIKEp434} + serverConfig.CurvePreferences = []CurveID{Kyber512, SIKEp434} + clientConfig.InsecureSkipVerify = true + + for i, test := range dcKEMServerTests { + clientConfig.SupportDelegatedCredential = test.clientDCSupport + + for dcCount = 0; dcCount < len(dcTestDCPQScheme); dcCount++ { + initDCTest() + serverConfig.GetCertificate = testServerGetPQCertificate + clientConfig.MaxVersion = test.clientMaxVers + serverConfig.MaxVersion = test.serverMaxVers + + usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true) + + if err != nil && test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d fails: %s", i, test.name, dcCount, err.Error()) + } else if err == nil && !test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d succeeds; expected failure", i, test.name, dcCount) + } + + if usedDC != test.expectDC { + t.Errorf("test #%d (%s) with kem #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) + } + + //if !usedKEMTLS && test.expectSuccess { + // t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) + //} + } + } +} diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index ab3297d7c58..79954373447 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -129,7 +129,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS if hello.supportedVersions[0] == VersionTLS13 { hello.cipherSuites = append(hello.cipherSuites, defaultCipherSuitesTLS13()...) - if !config.KEMTLSEnabled { + if !config.KEMTLSEnabled && !config.PQTLSEnabled { curveID := config.curvePreferences()[0] if _, ok := curveForCurveID(curveID); curveID != X25519 && !ok { return nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") @@ -140,7 +140,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } keyShares = append(keyShares, keyShare{group: curveID, data: params.PublicKey()}) keySharePrivates = append(keySharePrivates, params) - } else { + } else if config.KEMTLSEnabled || config.PQTLSEnabled { var haveECDHE, haveKEM bool // loop over supported curves and kems until there is a KEM and an ECDHE curve diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index b9f62678bbc..a0c4a8fef2b 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -299,7 +299,7 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { c.sendAlert(alertIllegalParameter) return errors.New("tls: server sent an unnecessary HelloRetryRequest key_share") } - } else if c.config.KEMTLSEnabled { + } else if c.config.KEMTLSEnabled || c.config.PQTLSEnabled { if kemShare, ok := keyShare.(*kem.PrivateKey); ok { if CurveID(kemShare.KEMId) == curveID { c.sendAlert(alertIllegalParameter) @@ -312,7 +312,7 @@ func (hs *clientHandshakeStateTLS13) processHelloRetryRequest() error { } - if curveID.isKEM() && c.config.KEMTLSEnabled { + if curveID.isKEM() && (c.config.KEMTLSEnabled || c.config.PQTLSEnabled) { kemID := kem.ID(curveID) pk, sk, err := kem.GenerateKey(c.config.rand(), kemID) if err != nil { @@ -441,7 +441,7 @@ func (hs *clientHandshakeStateTLS13) processServerHello() error { if hs.serverHello.serverShare.group == ecdheParams.CurveID() { found = true } - } else if c.config.KEMTLSEnabled { + } else if c.config.KEMTLSEnabled || c.config.PQTLSEnabled { kemShare := keyShare.(*kem.PrivateKey) if CurveID(kemShare.KEMId) == hs.serverHello.serverShare.group { found = true @@ -493,7 +493,7 @@ func (hs *clientHandshakeStateTLS13) establishHandshakeKeys() error { for _, keyShare := range hs.keyShare { if params, ok := keyShare.(ecdheParameters); ok && params.CurveID() == hs.serverHello.serverShare.group { sharedKey = params.SharedKey(hs.serverHello.serverShare.data) - } else if c.config.KEMTLSEnabled { + } else if c.config.KEMTLSEnabled || c.config.PQTLSEnabled { if kemPrivate, ok := keyShare.(*kem.PrivateKey); ok && kemPrivate.KEMId == kem.ID(hs.serverHello.serverShare.group) { var err error sharedKey, err = kem.Decapsulate(kemPrivate, hs.serverHello.serverShare.data) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 515fab64fa0..dad0d687626 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -311,7 +311,7 @@ GroupSelection: clientKeyShare = &hs.clientHello.keyShares[0] } - if selectedGroup.isKEM() && c.config.KEMTLSEnabled { + if selectedGroup.isKEM() && (c.config.KEMTLSEnabled || c.config.PQTLSEnabled) { sharedKey, ciphertext, err := kem.Encapsulate(c.config.rand(), &kem.PublicKey{KEMId: kem.ID(selectedGroup), PublicKey: clientKeyShare.data}) if err != nil { c.sendAlert(alertInternalError) diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA index 0fa93f7aace..af9b528f2c1 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 27 14 34 e9 ef |....Y...U..'.4..| -00000010 89 88 53 1c 48 31 03 98 8c 7c 56 63 bc 6b 2c 86 |..S.H1...|Vc.k,.| -00000020 63 39 d2 0f 1d a0 b8 6b c5 11 84 20 43 83 47 5b |c9.....k... C.G[| -00000030 ab bb 57 2a 30 7d 37 3f a1 44 56 87 fb 14 33 8d |..W*0}7?.DV...3.| -00000040 72 cb 79 61 ee 4b fd 83 66 e8 e7 a2 c0 09 00 00 |r.ya.K..f.......| +00000000 16 03 01 00 59 02 00 00 55 03 01 25 a8 78 8a 11 |....Y...U..%.x..| +00000010 2e 02 13 26 5b 30 97 f4 fb ec 61 94 c2 45 bb b7 |...&[0....a..E..| +00000020 4e 5e 2f 8f 07 b2 f3 cd af 2c 23 20 9c 2e 23 74 |N^/......,# ..#t| +00000030 ba eb 18 8a b0 47 94 ad a6 dc bd 37 f0 c5 b7 c5 |.....G.....7....| +00000040 72 8e 6a 89 95 c9 ee 46 2d c4 e1 f0 c0 09 00 00 |r.j....F-.......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,20 +56,20 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 65 7a |*............ ez| -00000280 0d 7e b7 b9 ee 26 23 77 19 09 9b d1 05 fe 00 04 |.~...&#w........| -00000290 2f 8e ac 51 db aa 97 4a 82 7f e5 cb 0b 00 00 8b |/..Q...J........| -000002a0 30 81 88 02 42 00 ea c7 05 a8 31 ad d8 da 77 32 |0...B.....1...w2| -000002b0 e6 aa f5 3d 5e 1c a6 c0 9a 55 40 4c ef c6 15 08 |...=^....U@L....| -000002c0 d8 96 f8 ad 0c 35 c5 2d e3 8a 7f 92 b9 73 9d 39 |.....5.-.....s.9| -000002d0 7c 28 5b 54 b7 70 2c 71 e2 c2 21 3c 03 81 16 68 ||([T.p,q..!<...h| -000002e0 ae ea c1 60 f4 e9 23 02 42 01 e0 11 d0 55 e5 9d |...`..#.B....U..| -000002f0 1a 89 d2 12 cf 02 66 3e a9 0d b3 98 50 6b f0 f6 |......f>....Pk..| -00000300 20 45 f5 a2 87 75 77 f6 7d b3 56 5e 07 8f a3 c7 | E...uw.}.V^....| -00000310 5c 37 8c 76 32 28 78 0c a2 06 c8 4c 85 f5 d6 1d |\7.v2(x....L....| -00000320 ff 96 d3 bf 62 d2 c0 09 88 32 6d 16 03 01 00 0a |....b....2m.....| -00000330 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| -00000340 00 00 00 |...| +00000270 2a 16 03 01 00 b4 0c 00 00 b0 03 00 1d 20 72 fe |*............ r.| +00000280 b6 b2 52 a2 ba b7 73 71 01 19 a1 27 85 bc a9 f7 |..R...sq...'....| +00000290 98 31 19 ae f4 78 9d 18 27 c8 72 21 09 28 00 8a |.1...x..'.r!.(..| +000002a0 30 81 87 02 41 3b 97 22 25 0b 34 bc 14 24 bc ba |0...A;."%.4..$..| +000002b0 dd 54 7d 4d 1e 8f 89 83 fb 74 fe 41 09 ef 81 ab |.T}M.....t.A....| +000002c0 9c 9b 04 04 d6 71 71 ab 19 6b fa 7f 58 94 6e a8 |.....qq..k..X.n.| +000002d0 d4 4b 52 f8 e7 a5 c1 cf 65 4a a2 ca 4a 77 ab ad |.KR.....eJ..Jw..| +000002e0 14 1f c9 fb df a0 02 42 01 7e a4 54 d5 c2 b6 02 |.......B.~.T....| +000002f0 8f 88 51 a8 3e fc 0f 5e 2a 5f c6 3a 9f 69 54 4b |..Q.>..^*_.:.iTK| +00000300 26 40 da 94 d5 e9 0b fc c3 29 f4 f7 10 40 8d f8 |&@.......)...@..| +00000310 dc 7d ea 0d 08 a9 f8 9b 21 95 9e ee c7 56 5c bd |.}......!....V\.| +00000320 c9 9b 1a dc 33 6d 1b ea 6c 71 16 03 01 00 0a 0d |....3m..lq......| +00000330 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e 00 |......@.........| +00000340 00 00 |..| >>> Flow 3 (client to server) 00000000 16 03 01 02 0a 0b 00 02 06 00 02 03 00 02 00 30 |...............0| 00000010 82 01 fc 30 82 01 5e 02 09 00 9a 30 84 6c 26 35 |...0..^....0.l&5| @@ -107,29 +107,29 @@ 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| 00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| -00000240 00 8d 00 8b 30 81 88 02 42 01 18 58 64 7c 8b a4 |....0...B..Xd|..| -00000250 f4 9d 40 28 19 25 c9 95 a4 e5 f0 87 03 27 ec 99 |..@(.%.......'..| -00000260 7c 26 c3 4f 64 af 73 c4 b3 fb fe 18 f7 d6 0b 64 ||&.Od.s........d| -00000270 6b 3a 5f 6b 45 96 77 b7 9a 83 38 c2 78 f2 75 19 |k:_kE.w...8.x.u.| -00000280 15 2b f1 37 d7 e0 c7 3e cf 64 82 02 42 01 b4 6c |.+.7...>.d..B..l| -00000290 9b 22 89 09 64 24 19 36 14 97 36 85 f6 a9 06 ea |."..d$.6..6.....| -000002a0 76 98 78 f8 91 97 48 a4 8a 21 9d 76 68 30 9e 9f |v.x...H..!.vh0..| -000002b0 1f 06 e1 0f dc f9 ac ca 54 94 82 09 a2 74 40 b3 |........T....t@.| -000002c0 6e 24 34 12 df f5 a7 33 12 e5 94 71 28 ac ff 14 |n$4....3...q(...| -000002d0 03 01 00 01 01 16 03 01 00 30 fa 9f 37 ed c5 cd |.........0..7...| -000002e0 a6 b3 98 f9 95 52 32 cc 6e bc b0 fd 74 1d 67 15 |.....R2.n...t.g.| -000002f0 d0 49 75 7c f4 60 12 04 07 fd f5 fc e5 c6 25 83 |.Iu|.`........%.| -00000300 83 14 ac 74 22 d6 5b c7 1a ce |...t".[...| +00000240 00 8d 00 8b 30 81 88 02 42 00 90 4b 86 e2 ac 38 |....0...B..K...8| +00000250 7e 18 a6 ab d6 7a 5d 83 ff ac d1 b2 15 40 68 9e |~....z]......@h.| +00000260 35 95 76 09 1d af 1c 24 5d 92 5d 96 af 54 89 33 |5.v....$].]..T.3| +00000270 23 e7 0c ff 73 d2 34 51 b5 70 81 47 15 1c 0e 05 |#...s.4Q.p.G....| +00000280 4b 4b 3e a8 da 41 78 4a da f8 7f 02 42 01 64 22 |KK>..AxJ....B.d"| +00000290 81 ef e4 de c9 4e 0b c0 87 08 63 2f f7 02 e3 a7 |.....N....c/....| +000002a0 4c b9 a8 8b 1c fc 46 4e 94 fd e5 4b 88 d7 c2 3f |L.....FN...K...?| +000002b0 72 46 d6 9f 90 20 e5 94 c6 53 36 d5 08 3d 1e c7 |rF... ...S6..=..| +000002c0 bc 5a 91 e9 52 00 3e c5 dc f5 bc c2 f8 76 50 14 |.Z..R.>......vP.| +000002d0 03 01 00 01 01 16 03 01 00 30 62 36 d9 fb 88 d4 |.........0b6....| +000002e0 05 46 f9 30 98 9e cb 52 93 46 62 cb 09 79 0a 5c |.F.0...R.Fb..y.\| +000002f0 a4 58 64 99 3f ea 0f eb 15 32 c2 f3 b0 ea 17 99 |.Xd.?....2......| +00000300 02 d3 17 09 8f 6b 40 33 08 c8 |.....k@3..| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 b1 fa 6c c6 34 |..........0..l.4| -00000010 bb f3 0f d7 98 6e e4 59 36 79 43 7a cc 09 97 33 |.....n.Y6yCz...3| -00000020 fe 13 62 8f 4e d4 c3 4f 17 d1 c5 7f 9b ba 46 09 |..b.N..O......F.| -00000030 1f 6d 8f 5e c0 b8 7e 07 c8 0b ae |.m.^..~....| +00000000 14 03 01 00 01 01 16 03 01 00 30 24 9c 70 ca 3b |..........0$.p.;| +00000010 f9 5b a4 a3 63 43 67 08 2e 54 31 b1 81 71 b4 5a |.[..cCg..T1..q.Z| +00000020 b4 db ee 92 d5 a0 22 b5 ca cd a7 8f 77 a2 e9 e6 |......".....w...| +00000030 e0 86 46 52 20 04 84 30 46 e1 19 |..FR ..0F..| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 d8 fd 0e 77 30 66 05 6d 8e 2a e6 |.... ...w0f.m.*.| -00000010 e7 bf 86 b3 48 25 f0 10 13 c2 a4 35 64 5f d1 0d |....H%.....5d_..| -00000020 95 2b af c2 e4 17 03 01 00 20 c0 a1 71 bc 40 ac |.+....... ..q.@.| -00000030 a3 e0 4e a9 fb 6b 9f 8c 44 88 7a 92 72 04 46 bf |..N..k..D.z.r.F.| -00000040 a3 4f 8b 4e 17 ab 95 9a 99 83 15 03 01 00 20 a2 |.O.N.......... .| -00000050 09 c8 91 13 17 9b 4d f0 17 1b 80 de fe 1b f6 d5 |......M.........| -00000060 14 f2 7e 47 d4 7b 73 4d 9c 5b bb 26 83 20 9b |..~G.{sM.[.&. .| +00000000 17 03 01 00 20 bb 26 bd ce 18 7b 6b 2e 1c 1b c8 |.... .&...{k....| +00000010 61 71 57 12 d6 65 b3 6a fd 35 28 54 22 24 3a 0d |aqW..e.j.5(T"$:.| +00000020 47 08 dd 67 ca 17 03 01 00 20 7e e5 dd 4e 3d 8a |G..g..... ~..N=.| +00000030 45 a4 31 de c3 2d f1 bb d6 27 2f c8 91 2c 97 32 |E.1..-...'/..,.2| +00000040 b0 cb f8 c3 58 ca 6d a4 f9 35 15 03 01 00 20 9a |....X.m..5.... .| +00000050 99 2b 82 c4 b7 09 11 96 f8 37 b0 8c 54 86 50 3e |.+.......7..T.P>| +00000060 1b ea 70 46 bd 9b 71 5a 6c 20 53 95 97 2d 77 |..pF..qZl S..-w| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA index 71debb4822d..5f324beccdf 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 c2 27 f9 4f e6 |....Y...U...'.O.| -00000010 20 c5 96 c9 ba 7a c7 5a 89 98 ba 4c 50 db 3d be | ....z.Z...LP.=.| -00000020 50 89 d0 e1 c7 71 82 a9 17 20 61 20 e1 62 a6 01 |P....q... a .b..| -00000030 85 1b b5 88 24 6d 32 1b 35 8a bc fb 61 9f a9 15 |....$m2.5...a...| -00000040 bb 75 b8 f5 9e 87 d7 32 f9 d2 5a 59 c0 13 00 00 |.u.....2..ZY....| +00000000 16 03 01 00 59 02 00 00 55 03 01 f7 7d 44 38 5e |....Y...U...}D8^| +00000010 87 05 89 f4 60 d3 de a7 a6 24 d9 01 ff f6 9d a5 |....`....$......| +00000020 df a7 28 6c 51 2c ad 29 25 52 ad 20 52 c4 71 a7 |..(lQ,.)%R. R.q.| +00000030 87 85 ed 76 85 c4 98 c5 c1 de 53 83 5e 6f 6e d5 |...v......S.^on.| +00000040 16 e1 24 88 9f 34 eb a2 9d d7 c1 89 c0 13 00 00 |..$..4..........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 cf 0f de ed 7b 22 c7 |........ ....{".| -000002d0 02 1c ff 3b 8b 06 03 c0 17 da ce 08 8c 69 44 54 |...;.........iDT| -000002e0 87 f4 f5 c1 0b 74 d5 07 0a 00 80 60 ff 16 93 cb |.....t.....`....| -000002f0 c1 5d 4c 37 23 84 98 f5 da c2 d1 1b f4 2f 82 07 |.]L7#......../..| -00000300 f5 3b 2a 2b 04 90 f3 cc 92 81 10 f9 87 32 6f 5f |.;*+.........2o_| -00000310 c7 7d d4 12 c2 e1 4e 01 94 4d 3d 65 94 68 20 00 |.}....N..M=e.h .| -00000320 36 37 26 5a 38 1b f6 54 0f 27 64 2c 9d a0 39 60 |67&Z8..T.'d,..9`| -00000330 d3 af 35 c0 5f 25 96 ea 36 3b 1c 1c a9 d3 bd a7 |..5._%..6;......| -00000340 3a 22 6d 89 44 6a 46 7a 07 21 51 8b 5c ba d2 b9 |:"m.DjFz.!Q.\...| -00000350 25 04 de 9a 08 db 32 a4 bf 14 f1 b2 7a 46 63 c3 |%.....2.....zFc.| -00000360 05 5a 6a 35 64 a6 77 4d 8b 42 f3 16 03 01 00 0a |.Zj5d.wM.B......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 f6 21 73 61 44 66 71 |........ .!saDfq| +000002d0 7d 89 1e ef 9a e1 4d fe 4d e7 88 d0 e5 8d bb 3c |}.....M.M......<| +000002e0 33 d9 0b 47 89 5c 10 05 49 00 80 04 2f 01 a3 63 |3..G.\..I.../..c| +000002f0 c7 f0 69 ae 37 f5 0c a3 05 e5 13 b9 58 9d c9 c2 |..i.7.......X...| +00000300 a8 7f fe fb 30 d6 e0 29 ca d9 4d bb 70 36 eb 75 |....0..)..M.p6.u| +00000310 b8 e5 1b ae 21 b7 ff 6f 7b 6d 8e 3f 80 91 a1 19 |....!..o{m.?....| +00000320 fd 56 20 08 9d 14 5b 00 04 f0 32 22 e5 cf 33 a9 |.V ...[...2"..3.| +00000330 5e 47 2d 68 34 73 d8 e7 2e 89 7c da f4 ad 5a f8 |^G-h4s....|...Z.| +00000340 dd 9b c7 ad 8a e7 ed 48 6d c9 9d f4 c4 74 cb 71 |.......Hm....t.q| +00000350 63 a8 94 0a 4a 64 df 07 91 92 c1 82 8b b7 90 b2 |c...Jd..........| +00000360 21 48 94 99 a3 82 ed 59 72 25 70 16 03 01 00 0a |!H.....Yr%p.....| 00000370 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000380 00 00 00 |...| >>> Flow 3 (client to server) @@ -110,30 +110,30 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 8f 0f 00 |...._X.;t.......| -00000240 00 8b 00 89 30 81 86 02 41 4f e1 ca d7 09 67 a5 |....0...AO....g.| -00000250 dc 0b ac 5f 4e 38 8e 6f e1 6e 3c 29 a6 95 48 ff |..._N8.o.n<)..H.| -00000260 a7 f4 a2 d1 71 e7 df 7a 28 61 52 48 fb 74 05 74 |....q..z(aRH.t.t| -00000270 74 3b ff ff 81 f6 88 49 7d 55 02 c0 02 c2 2b 45 |t;.....I}U....+E| -00000280 9e 54 59 04 06 a9 3f ca f6 82 02 41 3d 5e b3 72 |.TY...?....A=^.r| -00000290 35 a8 61 8e 19 63 7c 61 19 08 ac 33 85 28 93 7d |5.a..c|a...3.(.}| -000002a0 6a 75 a9 c8 15 d7 c5 ff f1 2c 0c 1c 50 ff fc 39 |ju.......,..P..9| -000002b0 f4 d7 db 56 f9 88 fd dc d7 95 be b4 f3 58 03 81 |...V.........X..| -000002c0 57 83 9c 27 7e d5 df 8b 6d 2d da f4 df 14 03 01 |W..'~...m-......| -000002d0 00 01 01 16 03 01 00 30 73 ac d4 f7 fe 43 ca e8 |.......0s....C..| -000002e0 67 d7 29 96 19 a5 20 72 28 59 f1 c9 0b 8b 72 d6 |g.)... r(Y....r.| -000002f0 27 cd ba 32 3d 7c 55 6d e6 d7 e2 38 91 7b 67 4e |'..2=|Um...8.{gN| -00000300 0f a8 59 a7 c6 28 8d d0 |..Y..(..| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| +00000240 00 8d 00 8b 30 81 88 02 42 01 19 50 a3 e0 90 d1 |....0...B..P....| +00000250 a8 68 14 39 a0 ac 18 33 62 b9 ec 07 da 69 b7 be |.h.9...3b....i..| +00000260 a1 fb f9 12 43 8a ac 4c 9e e7 97 bd 83 80 a8 a8 |....C..L........| +00000270 69 f1 62 ff d5 25 e4 7b 6f ef c6 52 5f a0 c2 32 |i.b..%.{o..R_..2| +00000280 a8 1c 09 a2 3e 3c bc dd f8 30 2b 02 42 01 07 7c |....><...0+.B..|| +00000290 6e 39 ff 39 5b 83 50 64 e6 71 16 e8 80 12 98 4a |n9.9[.Pd.q.....J| +000002a0 79 c1 b9 8b ab 89 1d 54 ca 2f dc 97 14 d0 c2 c2 |y......T./......| +000002b0 9e aa 9a 7b 3e a3 73 78 e3 09 7a 6d 01 95 5f 0d |...{>.sx..zm.._.| +000002c0 f4 76 17 d0 be 13 b8 61 15 91 0c 69 7c 67 0b 14 |.v.....a...i|g..| +000002d0 03 01 00 01 01 16 03 01 00 30 dc 38 cc b3 13 32 |.........0.8...2| +000002e0 ed 54 9c f9 9e dc 8c 0c aa 95 39 d4 f7 e7 ad b6 |.T........9.....| +000002f0 7d 87 69 12 cc 37 78 6e 19 f9 cc 0f 32 ec db 3b |}.i..7xn....2..;| +00000300 83 aa 88 65 00 61 3e a1 ab ec |...e.a>...| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 ba 03 55 39 9f |..........0..U9.| -00000010 99 89 53 e8 a2 b7 83 fc f5 3b 32 a6 5d c2 23 cb |..S......;2.].#.| -00000020 55 8a bb d0 f1 b3 48 0f 95 77 28 e9 36 98 eb a2 |U.....H..w(.6...| -00000030 5e b9 56 23 64 4d d0 03 08 91 33 |^.V#dM....3| +00000000 14 03 01 00 01 01 16 03 01 00 30 2e 67 e3 09 f6 |..........0.g...| +00000010 6c 25 69 98 de 71 92 57 36 59 4f 54 d3 a1 da f6 |l%i..q.W6YOT....| +00000020 6c 93 ed 0b b6 22 fd 59 f8 5e ae 2a 9a e7 c4 87 |l....".Y.^.*....| +00000030 d9 4f 66 54 4d 49 e9 a7 3b ef fa |.OfTMI..;..| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 76 7d e6 20 32 b6 04 12 b9 3e ff |.... v}. 2....>.| -00000010 80 c4 43 df 6c b8 b3 7e 1b be 16 e5 4b b2 f4 1e |..C.l..~....K...| -00000020 31 28 28 6e 6c 17 03 01 00 20 d4 ff 1c 4b 70 f9 |1((nl.... ...Kp.| -00000030 43 83 d1 a3 56 f3 7c 1c 99 b9 64 fd 99 39 3b 56 |C...V.|...d..9;V| -00000040 49 3d 90 ed ec cb 02 01 ac 6a 15 03 01 00 20 4a |I=.......j.... J| -00000050 66 d6 3c 9c b2 0d 09 7d 2a f5 b3 4e 0b 97 00 d6 |f.<....}*..N....| -00000060 1c 94 d6 ef 87 ad f3 79 84 56 84 be 24 ca 1f |.......y.V..$..| +00000000 17 03 01 00 20 2f 3b 7a 77 c5 f4 d1 fe 6f 81 e4 |.... /;zw....o..| +00000010 e1 71 0b ac 4c 77 98 cc 64 80 3a 91 31 b1 09 4c |.q..Lw..d.:.1..L| +00000020 da 30 bf 16 75 17 03 01 00 20 82 08 db d8 e1 72 |.0..u.... .....r| +00000030 8b bc bb d0 15 b6 54 95 f4 a9 8f d2 7e fa e5 ce |......T.....~...| +00000040 8d e0 a5 49 e7 12 9a 5e b8 7e 15 03 01 00 20 68 |...I...^.~.... h| +00000050 25 be 14 81 8f 02 f1 f0 ba aa 57 ce 7d e7 06 40 |%.........W.}..@| +00000060 66 80 25 6f 9b 71 0f 40 c8 c3 9f 44 4e 36 14 |f.%o.q.@...DN6.| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA index 101be4b9962..47c2bd46c38 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 3d 84 5a e1 b6 |....Y...U..=.Z..| -00000010 91 81 3b e3 4d e2 3a 53 a9 93 5a 96 28 7e 93 7e |..;.M.:S..Z.(~.~| -00000020 84 88 6a 49 49 c3 d4 83 8e 15 7c 20 04 e1 1d d4 |..jII.....| ....| -00000030 a1 a3 35 26 bb e3 de 8e 27 28 00 d5 d6 66 01 37 |..5&....'(...f.7| -00000040 0e 6f a1 88 f4 7f 37 29 d1 3b f8 28 c0 09 00 00 |.o....7).;.(....| +00000000 16 03 01 00 59 02 00 00 55 03 01 83 4a 07 cb 23 |....Y...U...J..#| +00000010 96 f2 8a 32 b8 6d cf 6c 56 68 8a d3 d2 df 7d bd |...2.m.lVh....}.| +00000020 bc 06 9a 65 14 cc 33 0f 2e 6d d4 20 31 ef ea d2 |...e..3..m. 1...| +00000030 8c 14 31 e6 59 29 7f 9b 44 6b 00 f5 6b 19 7d e7 |..1.Y)..Dk..k.}.| +00000040 d7 d7 50 47 f6 be ae 8e 53 43 0a 3f c0 09 00 00 |..PG....SC.?....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 cb db |*............ ..| -00000280 91 b7 31 e6 70 3c 36 41 fc b4 ef f3 44 50 21 6f |..1.p<6A....DP!o| -00000290 c6 6c d8 bd 46 79 94 15 28 98 ae 4a b0 15 00 8b |.l..Fy..(..J....| -000002a0 30 81 88 02 42 01 c2 80 a2 17 c7 1e 6c f3 65 c3 |0...B.......l.e.| -000002b0 f5 2c e7 cd cb b3 07 d8 e7 77 56 2c 8b 51 66 19 |.,.......wV,.Qf.| -000002c0 1d 1b f7 25 2a de 37 24 93 27 c2 5a 98 18 8b ec |...%*.7$.'.Z....| -000002d0 5a d9 c6 e3 28 bc ac 22 40 89 bb 36 45 74 a6 bc |Z...(.."@..6Et..| -000002e0 41 85 87 fa e2 13 8a 02 42 00 97 34 99 c1 aa 41 |A.......B..4...A| -000002f0 34 05 fa b7 b7 76 27 d7 f4 a0 5a 06 d2 d5 5b e7 |4....v'...Z...[.| -00000300 0b 25 a6 b2 e2 41 db b4 3d ed d7 79 11 af 5c 50 |.%...A..=..y..\P| -00000310 bc 8a 70 18 5b aa 20 29 35 40 84 65 b4 5e 92 4a |..p.[. )5@.e.^.J| -00000320 83 32 2c 13 37 4d 13 ca c2 56 3d 16 03 01 00 0a |.2,.7M...V=.....| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 4d fa |*............ M.| +00000280 b2 9a 25 c5 b1 7d f9 6c da 86 01 8b b4 77 8c ac |..%..}.l.....w..| +00000290 3c 45 62 75 40 84 c2 1e 70 02 60 61 6a 7f 00 8b |>> Flow 3 (client to server) @@ -106,29 +106,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 21 20 77 0a 5e 19 b2 2e 11 |.......! w.^....| -00000240 cd 89 b3 78 1f 76 9c be 0b 15 c0 96 10 b7 37 05 |...x.v........7.| -00000250 93 94 02 c9 8d 03 53 4e 50 6a 30 59 95 45 1d f6 |......SNPj0Y.E..| -00000260 ac c8 63 be 26 a1 78 62 1f ff 43 ff 4e f5 c6 0a |..c.&.xb..C.N...| -00000270 54 dc 5c fc 25 a0 fd 9a ad 30 b4 6c d3 2b 45 2a |T.\.%....0.l.+E*| -00000280 85 ad ec d4 ae 0c b9 ad 67 34 47 df 14 81 bb ab |........g4G.....| -00000290 ae 27 cc 2e aa 30 d3 76 fc ec 95 71 dc 55 b5 0e |.'...0.v...q.U..| -000002a0 c3 a5 4a b9 e5 2f fe f3 27 b7 d8 a9 15 45 9b 43 |..J../..'....E.C| -000002b0 b4 28 cb 4f 65 ad ad 14 03 01 00 01 01 16 03 01 |.(.Oe...........| -000002c0 00 30 6f c9 14 6d 7b 10 88 83 a0 aa a5 4a b9 87 |.0o..m{......J..| -000002d0 9e f0 73 dd 7c 9a 1b 26 45 19 67 d2 08 6b 14 82 |..s.|..&E.g..k..| -000002e0 b3 1a 95 44 33 d1 9e 8b 10 a5 04 54 49 bf 8e e9 |...D3......TI...| -000002f0 ce 28 |.(| +00000230 86 0f 00 00 82 00 80 5d 1f e7 48 b4 30 2c 79 bf |.......]..H.0,y.| +00000240 53 d3 07 b2 95 5e a3 de c7 74 f1 35 0f 7e 3c 4e |S....^...t.5.~kf.........| +000002c0 00 30 51 5c db 6f 0a 1d fd a8 13 e0 3c ff 2b c6 |.0Q\.o......<.+.| +000002d0 2f cf 68 f4 e1 f7 1f 27 fa 5d cc 46 7b 15 8d 24 |/.h....'.].F{..$| +000002e0 20 8a 32 d2 00 a6 db 77 ed 94 3a 7f e2 38 d8 12 | .2....w..:..8..| +000002f0 e6 93 |..| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 6b af c3 91 14 |..........0k....| -00000010 c1 b1 2f fa 96 60 d8 f9 41 3d 31 a9 5d 56 fe 1d |../..`..A=1.]V..| -00000020 c7 6f a4 f3 7b 80 38 8b 71 ca 41 c6 f7 fb 93 ca |.o..{.8.q.A.....| -00000030 37 99 0c 28 f3 a0 d9 02 08 30 0a |7..(.....0.| +00000000 14 03 01 00 01 01 16 03 01 00 30 4a 54 07 fd fd |..........0JT...| +00000010 6d 04 79 ed 3d fe 35 b7 b1 e4 f9 be fe 6d 5b 2b |m.y.=.5......m[+| +00000020 72 f6 0a 17 b4 f5 1e 81 b8 c5 3d 42 27 79 3b 12 |r.........=B'y;.| +00000030 92 cc 44 c4 74 37 1a f3 90 2d d5 |..D.t7...-.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 b5 f1 79 b7 8a 16 be 50 cb 88 94 |.... ..y....P...| -00000010 69 18 d6 3c b3 54 5d 36 56 a5 19 eb c2 e2 f1 16 |i..<.T]6V.......| -00000020 8f eb 9f 07 bd 17 03 01 00 20 35 af 06 46 ec f8 |......... 5..F..| -00000030 c5 b2 38 65 eb cf 49 20 b7 ab 09 db 67 de 72 4c |..8e..I ....g.rL| -00000040 52 dc e3 53 4b 76 2f 1d 92 5e 15 03 01 00 20 80 |R..SKv/..^.... .| -00000050 e3 ea b2 ea 3b 75 07 6e 1c f0 84 e7 33 24 89 0a |....;u.n....3$..| -00000060 00 df 9f 69 8e 15 f3 a8 e2 3e 48 1d 40 7f f7 |...i.....>H.@..| +00000000 17 03 01 00 20 3d 86 ab 3c da 4f 14 ea 8e 3b 75 |.... =..<.O...;u| +00000010 1c 61 0e a2 88 8e c0 10 06 c1 33 18 d6 57 37 63 |.a........3..W7c| +00000020 c4 cb e4 22 e2 17 03 01 00 20 9f 1d 6c b9 41 d0 |..."..... ..l.A.| +00000030 d2 15 02 88 46 6b 4e 14 81 73 13 5a 3c e3 83 8f |....FkN..s.Z<...| +00000040 a4 41 32 f3 9b 71 4a c5 02 6e 15 03 01 00 20 22 |.A2..qJ..n.... "| +00000050 de f5 17 c7 9a 3a dc 88 d7 ce 01 98 d7 11 ed 20 |.....:......... | +00000060 ab 11 5d 68 30 73 01 95 e6 13 82 56 bd e5 98 |..]h0s.....V...| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA index 417438f6c5a..76731557314 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 33 5a 5a 16 44 |....Y...U..3ZZ.D| -00000010 0d 60 7f 08 cb 06 30 32 05 5c fe de 51 17 25 ee |.`....02.\..Q.%.| -00000020 4e 6b 80 f8 f4 ee 63 3f 43 a9 44 20 fa b9 e4 8a |Nk....c?C.D ....| -00000030 8a 79 aa 66 f0 08 b4 4a c4 7c d8 90 55 25 8d f3 |.y.f...J.|..U%..| -00000040 09 b3 a9 20 f3 66 3a cb 5e 33 83 af c0 13 00 00 |... .f:.^3......| +00000000 16 03 01 00 59 02 00 00 55 03 01 7a c9 0e cc 05 |....Y...U..z....| +00000010 2e 02 6e 0b 5d 5c 5a 40 a3 2d 30 32 f2 b3 e1 28 |..n.]\Z@.-02...(| +00000020 cc 9b 9d 68 53 c1 89 31 7b bf c5 20 1a 5b d5 19 |...hS..1{.. .[..| +00000030 d0 52 f9 94 1a d8 f4 c8 3e 43 58 5d 8b a2 c3 10 |.R......>CX]....| +00000040 7c 79 99 18 d1 45 55 19 ab fa 65 31 c0 13 00 00 ||y...EU...e1....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 98 74 8a d9 ff 74 5d |........ .t...t]| -000002d0 92 1c 11 69 17 1f b0 51 68 f3 1b 1d 55 73 b7 0b |...i...Qh...Us..| -000002e0 19 25 24 b3 c3 55 fb 32 04 00 80 0f 95 ef 96 f3 |.%$..U.2........| -000002f0 4d 8f b6 7e 7c ec cb 5f d1 cf 42 20 6f 82 14 cc |M..~|.._..B o...| -00000300 22 c7 88 a9 17 04 bf 86 f1 4b 40 11 1c 3f d2 15 |"........K@..?..| -00000310 f4 82 a1 2a a8 74 02 ce 72 65 7f c3 0a 04 11 b9 |...*.t..re......| -00000320 f0 c7 00 12 ae 4f 33 15 18 88 11 a9 72 48 2a 14 |.....O3.....rH*.| -00000330 a2 a9 37 f0 c8 64 b7 2a 8e 3c 97 46 e4 1c 98 da |..7..d.*.<.F....| -00000340 c9 a1 9b 59 e9 3d 76 3f d8 d1 2b 9b 86 4d de b9 |...Y.=v?..+..M..| -00000350 c8 0b 87 0c 76 54 db 09 bc 32 d1 6d cc d2 25 25 |....vT...2.m..%%| -00000360 03 bc 23 a5 cb 9e f8 51 30 f1 3e 16 03 01 00 0a |..#....Q0.>.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 4c ef 37 19 ce a5 51 |........ L.7...Q| +000002d0 d9 69 7d bb 02 f5 7c f3 ee c2 24 5d 22 76 61 fe |.i}...|...$]"va.| +000002e0 52 64 46 6c 7a 1c bf 83 02 00 80 2f 07 60 26 86 |RdFlz....../.`&.| +000002f0 a9 49 f0 a4 7e c9 3e 7d 86 e4 4b 8d b2 1d 91 4d |.I..~.>}..K....M| +00000300 d9 c8 b7 65 b6 1e cc 22 ed 40 20 52 ae 61 bb 98 |...e...".@ R.a..| +00000310 59 0c 0e 80 68 b2 1e 7f de af ca 1e ba b9 33 71 |Y...h.........3q| +00000320 42 e1 32 75 b1 df a8 78 97 03 00 b4 f5 2f ed 6f |B.2u...x...../.o| +00000330 27 f9 9d 0d c4 b1 c1 93 de 4d 8d 78 e6 0a dc fc |'........M.x....| +00000340 f1 b2 41 ff eb 8b 6a df 8b 1a 6c 9c 67 b5 a7 ab |..A...j...l.g...| +00000350 21 af 5a 44 c3 ed 70 da 18 1e a1 47 0d 24 0b be |!.ZD..p....G.$..| +00000360 15 8c b6 40 17 df f0 d4 e3 2a f1 16 03 01 00 0a |...@.....*......| 00000370 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000380 00 00 00 |...| >>> Flow 3 (client to server) @@ -110,29 +110,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 99 07 80 8e 17 1f b8 d0 60 |...............`| -00000240 64 db 70 95 dc ad c9 71 09 3c e8 ad 3c 6a 8c ec |d.p....q.<...=m| +00000250 7b aa 50 e0 04 91 fe 87 9c db de 45 61 c6 ed 2e |{.P........Ea...| +00000260 bc ad 13 d2 6c 5a c2 c3 29 74 41 38 88 5d 2f 23 |....lZ..)tA8.]/#| +00000270 26 d7 37 a0 e4 7d 9c ed 89 63 ca ab a1 24 4e 67 |&.7..}...c...$Ng| +00000280 04 2e 23 90 e2 7a bd 28 cd 85 0c ef 35 8a 30 d6 |..#..z.(....5.0.| +00000290 fa 6b cb 18 90 86 f5 3a c5 8f 11 ac f4 f7 c9 92 |.k.....:........| +000002a0 31 db e7 79 f4 6d 11 06 e6 6a ac 67 43 04 e7 fa |1..y.m...j.gC...| +000002b0 4f 3e e9 48 5c cc 75 14 03 01 00 01 01 16 03 01 |O>.H\.u.........| +000002c0 00 30 34 12 44 76 db f3 af cc 2a 93 fb 7e 6b ed |.04.Dv....*..~k.| +000002d0 e4 ae c9 77 aa a4 0e 83 8e 67 00 ba ea 20 6d 99 |...w.....g... m.| +000002e0 ce 17 9f f2 25 b6 89 f2 92 e8 44 20 87 13 1b 23 |....%.....D ...#| +000002f0 d8 e0 |..| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 7c d5 b5 a0 88 |..........0|....| -00000010 ff 7b 84 c7 62 f5 91 12 59 cb b6 a2 20 1f 53 01 |.{..b...Y... .S.| -00000020 13 d8 54 e9 2a f7 48 b2 e9 bd 0f 91 6f e2 f8 ba |..T.*.H.....o...| -00000030 cb 52 67 7f 62 15 5a 4a a7 4e 06 |.Rg.b.ZJ.N.| +00000000 14 03 01 00 01 01 16 03 01 00 30 84 f5 1b d2 9c |..........0.....| +00000010 03 51 06 2f 86 9c 05 e2 9f 8c ea af 9c 09 f9 e4 |.Q./............| +00000020 f0 36 34 68 68 4e 2f 5c be b1 26 dd a1 02 59 a4 |.64hhN/\..&...Y.| +00000030 c7 92 95 ed e8 50 fa 37 95 5f ae |.....P.7._.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 5e fa 90 47 e4 c5 c2 f2 87 8b 6e |.... ^..G......n| -00000010 d9 5d a4 b1 7b 85 03 9c 91 c9 34 de 61 f4 d6 83 |.]..{.....4.a...| -00000020 83 52 c3 98 9a 17 03 01 00 20 56 d5 5a 96 16 08 |.R....... V.Z...| -00000030 8c 27 d8 60 a0 f0 5d 5f 1f 8a f7 ac 94 ad cf 71 |.'.`..]_.......q| -00000040 45 fa 5f b8 20 b3 20 dd a9 35 15 03 01 00 20 b9 |E._. . ..5.... .| -00000050 eb 4b 3e b1 97 77 aa ee 11 d5 12 cb 0f 14 99 f4 |.K>..w..........| -00000060 08 89 7e ec 82 cf fb 90 27 29 fd 74 e0 01 f4 |..~.....').t...| +00000000 17 03 01 00 20 12 f0 9d 8f f7 4c 1e 61 1a e8 b8 |.... .....L.a...| +00000010 ce 72 4f 11 db 67 d3 21 ef 69 75 00 a8 80 2b f4 |.rO..g.!.iu...+.| +00000020 62 ed 53 c4 f9 17 03 01 00 20 8d 63 32 64 89 5d |b.S...... .c2d.]| +00000030 49 7b ac a0 da 75 0b f0 bf d2 32 e5 8b 57 5b 48 |I{...u....2..W[H| +00000040 cc db eb f6 60 41 5c 1a f9 8a 15 03 01 00 20 c7 |....`A\....... .| +00000050 83 17 71 5d 54 6d cc 7a 82 c4 d7 0f 6e 52 c0 b2 |..q]Tm.z....nR..| +00000060 a2 28 78 33 7f d8 7c f3 ae db 20 8a dd 49 be |.(x3..|... ..I.| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES index 42781122883..703e7ce94c8 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 3e cb 44 1a 0a |....Y...U..>.D..| -00000010 9e cc df ee 9d d5 6c f0 12 28 8c 5c f9 64 1e 3b |......l..(.\.d.;| -00000020 f8 58 65 c2 e3 de 1b f3 15 f3 ae 20 22 5d a1 39 |.Xe........ "].9| -00000030 4e 1a 3d be f6 31 fe 28 90 5a a8 16 00 53 5f 63 |N.=..1.(.Z...S_c| -00000040 76 71 28 ec eb 43 3f e1 41 c8 c4 7e c0 09 00 00 |vq(..C?.A..~....| +00000000 16 03 01 00 59 02 00 00 55 03 01 33 76 9f 3e 86 |....Y...U..3v.>.| +00000010 56 81 47 42 b2 da e8 52 28 46 bb df f7 3d 59 2f |V.GB...R(F...=Y/| +00000020 90 24 17 4f 6c 9d 62 8a cc 9b a6 20 64 6e 6e ac |.$.Ol.b.... dnn.| +00000030 f9 59 a9 3f 4b e8 19 da 7f b2 85 9f 35 a5 ba 87 |.Y.?K.......5...| +00000040 5f 0a 21 e5 17 a5 56 1c ac e3 c3 80 c0 09 00 00 |_.!...V.........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,37 +56,37 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 ce ed |*............ ..| -00000280 36 66 f7 98 f5 7c 54 ef 23 fb 29 b0 9a de 10 ad |6f...|T.#.).....| -00000290 9f 7a 4d aa 80 e3 f6 07 82 47 86 6e a3 1c 00 8b |.zM......G.n....| -000002a0 30 81 88 02 42 00 db 35 8e 71 eb 41 93 69 5c 5c |0...B..5.q.A.i\\| -000002b0 bb 1c 90 90 2d 13 0e 90 49 d3 57 b8 10 f7 b6 fa |....-...I.W.....| -000002c0 42 9d 6e 7c c1 5c 22 89 9b 0f 9f b0 d2 f7 f1 10 |B.n|.\".........| -000002d0 75 61 0a 0b 73 83 e7 7b 6f 5a d2 46 7a 6a da ba |ua..s..{oZ.Fzj..| -000002e0 2c cf 2d 81 42 dc 2b 02 42 00 de b5 75 06 57 46 |,.-.B.+.B...u.WF| -000002f0 db dd da a2 e5 5d fc e2 51 7d 19 6b f0 04 6b 09 |.....]..Q}.k..k.| -00000300 97 8d a7 6e 25 aa a9 b9 1f dd b0 f6 38 a0 f6 96 |...n%.......8...| -00000310 3d fe ed 26 24 12 49 b5 20 f1 a4 8a f1 66 31 32 |=..&$.I. ....f12| -00000320 32 67 e7 f7 d2 d1 c1 35 89 b8 1b 16 03 01 00 04 |2g.....5........| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 f4 16 |*............ ..| +00000280 a1 18 25 83 e6 8d b3 84 c2 85 81 64 c8 86 e2 dc |..%........d....| +00000290 39 4a a5 28 71 3b 6f 45 e9 ef 4c 7c f7 22 00 8b |9J.(q;oE..L|."..| +000002a0 30 81 88 02 42 00 e2 7b 24 31 58 f1 28 bd c2 6b |0...B..{$1X.(..k| +000002b0 a0 3b 50 45 24 6d 63 b4 2e 69 31 34 65 5c a7 7b |.;PE$mc..i14e\.{| +000002c0 01 bf 64 17 71 1a 47 4f 96 2d 45 d3 2b c2 a2 7a |..d.q.GO.-E.+..z| +000002d0 a7 c4 62 24 0d 22 0b 8b 93 40 a5 59 a2 0d 1c 6a |..b$."...@.Y...j| +000002e0 2b 89 1c 0e 4d d8 04 02 42 01 36 a2 3b 29 6e 62 |+...M...B.6.;)nb| +000002f0 75 95 38 7f 41 ef de a8 19 34 d5 27 82 25 01 62 |u.8.A....4.'.%.b| +00000300 02 b7 8f a2 c6 57 6a 94 38 75 b0 c7 ce 17 68 23 |.....Wj.8u....h#| +00000310 9c d2 13 55 da f5 2f 9c 21 1d 37 fd 1f f9 97 c4 |...U../.!.7.....| +00000320 43 b3 a0 e7 22 00 3c bc 2f 16 ec 16 03 01 00 04 |C...".<./.......| 00000330 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 d7 2b c0 ae 0c c8 df 18 a7 d8 76 |....0.+........v| -00000040 08 9b 16 af 25 b9 6a 49 7c 4d c9 b8 26 6a 7c dc |....%.jI|M..&j|.| -00000050 81 a2 99 40 4b 20 dd 97 17 ae 1e 92 b1 ac fa e4 |...@K ..........| -00000060 7e 6d 07 c8 a8 |~m...| +00000030 16 03 01 00 30 8f e3 57 41 88 8e 67 e7 83 cb 24 |....0..WA..g...$| +00000040 17 0f 4e ad fd 53 ee b0 f1 91 45 08 5d a5 d2 d2 |..N..S....E.]...| +00000050 90 55 dd 96 79 c8 1c 10 3d 7f 0f 41 a4 6d 98 32 |.U..y...=..A.m.2| +00000060 cb 8b 0a ac e6 |.....| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 a4 ff be 54 ef |..........0...T.| -00000010 18 4c 1d 88 e1 3c 4f 53 f7 3e 8a 8f 44 5f dd 73 |.L.....D_.s| -00000020 6d e4 48 af b3 ee ad 5c d6 bd 0a 3f 3c df bc f2 |m.H....\...?<...| -00000030 12 a3 ab 1d e8 a1 e0 05 f6 4e 85 |.........N.| +00000000 14 03 01 00 01 01 16 03 01 00 30 33 7d de 71 ce |..........03}.q.| +00000010 b7 26 39 76 a9 68 80 32 dc 94 83 ac 81 f8 5d 41 |.&9v.h.2......]A| +00000020 d8 b5 e2 46 6b 96 6f a1 ac 6e 6f d0 c5 3b 7d 6a |...Fk.o..no..;}j| +00000030 7f 17 fa a3 3d 91 86 1b 19 ac b9 |....=......| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 8d cb eb ad 09 f9 0f d8 51 7b 68 |.... ........Q{h| -00000010 2a b1 d6 4a 7b 78 ab 5f d4 64 5b d6 c4 e6 22 db |*..J{x._.d[...".| -00000020 87 9c e4 f4 18 17 03 01 00 20 67 5f 10 c3 0a 2e |......... g_....| -00000030 3e d9 af 0d 8f 69 88 48 3d 03 95 57 d4 17 89 99 |>....i.H=..W....| -00000040 35 48 04 57 66 a1 18 69 41 dd 15 03 01 00 20 fd |5H.Wf..iA..... .| -00000050 b7 cd 7a f6 af 2b 88 2c 3a 89 aa a7 f2 35 c4 e4 |..z..+.,:....5..| -00000060 85 ec 16 48 1e 73 93 ce 2d a7 a1 5e 01 6b 58 |...H.s..-..^.kX| +00000000 17 03 01 00 20 b3 be ad 57 dd 14 a2 98 b0 2f c4 |.... ...W...../.| +00000010 0d 64 5d 15 c6 80 a3 dc fa 02 52 07 dd aa 9a 09 |.d].......R.....| +00000020 19 97 12 47 10 17 03 01 00 20 5e 2e e4 b5 0c 4c |...G..... ^....L| +00000030 bb ef 65 8b c3 3a a3 cb 24 20 dd f7 12 9c 31 2a |..e..:..$ ....1*| +00000040 fb ab 1c 27 3c 00 1a 57 d9 c3 15 03 01 00 20 59 |...'<..W...... Y| +00000050 9d 93 e8 c8 58 6d 86 e8 42 c4 d7 f4 17 b5 1c fe |....Xm..B.......| +00000060 04 d1 55 ec 92 0f b5 0a 99 b7 5f 6a 7f 75 2f |..U......._j.u/| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES index 221700c2d16..abe320b19b9 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 0f 43 22 97 7b |....Y...U...C".{| -00000010 fd 4e 91 d2 2b 4a bf eb 60 34 dc 02 0b 8d cf 01 |.N..+J..`4......| -00000020 9a a3 89 e9 04 1b 9e 9b 73 6e ca 20 f4 bb 95 e2 |........sn. ....| -00000030 fe f9 01 68 21 99 dc 6a 3c f2 3b 42 22 f3 98 53 |...h!..j<.;B"..S| -00000040 99 41 fe df 0c 0f 76 6c 9f 12 84 c1 c0 13 00 00 |.A....vl........| +00000000 16 03 01 00 59 02 00 00 55 03 01 e1 3b 43 75 e2 |....Y...U...;Cu.| +00000010 2f 3a 5a c3 11 a0 4c 37 48 7d bc 71 a5 9b 84 10 |/:Z...L7H}.q....| +00000020 a7 95 71 de a3 45 95 64 ed c7 51 20 fc 53 56 ae |..q..E.d..Q .SV.| +00000030 c2 27 8d 21 a9 d7 3e 64 a9 ee db 63 60 fd 0a 9c |.'.!..>d...c`...| +00000040 67 f0 b8 73 3d 92 3e 3b 41 39 f3 e7 c0 13 00 00 |g..s=.>;A9......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 96 f2 dd 5e dc 62 eb |........ ...^.b.| -000002d0 49 c6 93 9a 37 c4 a6 4b 30 34 e0 ee 38 99 01 50 |I...7..K04..8..P| -000002e0 96 20 f1 4d b3 81 b3 c1 7e 00 80 50 45 c7 82 9b |. .M....~..PE...| -000002f0 0c ae e1 33 34 da a7 81 d4 0c a3 71 56 84 bd cf |...34......qV...| -00000300 39 f7 ae 88 6e 96 f5 6e 50 4d ad 04 40 3f 40 2b |9...n..nPM..@?@+| -00000310 04 af 95 64 e1 9a c2 bf 9f 55 ca 5f 3e 95 68 27 |...d.....U._>.h'| -00000320 ef 1a 02 bb 2c c4 12 06 cf 57 b0 dc 98 ed e5 6f |....,....W.....o| -00000330 6d 5f f0 48 83 3c 9f 14 2b 42 2e cc a1 3e a3 83 |m_.H.<..+B...>..| -00000340 1f 4c d0 95 af 08 f9 8b c3 0a be 6d 52 2d d6 83 |.L.........mR-..| -00000350 d2 7e b5 b4 4b 2b 7b ff d4 67 7a 2e ca 19 24 07 |.~..K+{..gz...$.| -00000360 54 44 6a d9 d5 6e a0 00 38 7a 12 16 03 01 00 04 |TDj..n..8z......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 7a be a4 85 67 1c 66 |........ z...g.f| +000002d0 02 ea a5 fc fd 17 86 3a ba bf fe e6 ea 84 52 3e |.......:......R>| +000002e0 6b 15 2b 54 33 a9 50 c9 3b 00 80 89 fb 9b 37 e0 |k.+T3.P.;.....7.| +000002f0 b8 9c 83 9f 59 26 d1 bf 11 cc 1e 3a c1 3e 3a 3d |....Y&.....:.>:=| +00000300 b7 f4 d1 8b d2 d8 83 78 8b ba ec 11 f2 77 5e d1 |.......x.....w^.| +00000310 0d c1 76 b6 b1 05 51 95 1e be d1 70 9c f9 d5 16 |..v...Q....p....| +00000320 a9 cb 31 4d bf 50 51 c0 87 61 5a bd 5a 55 9a ad |..1M.PQ..aZ.ZU..| +00000330 0f ed fe 8a f3 5c 64 f7 d8 df af 1e 52 c8 b3 65 |.....\d.....R..e| +00000340 b5 1f da 66 1f de 5c 9c 4f aa 10 87 41 b6 ff c2 |...f..\.O...A...| +00000350 c7 f6 cc a1 75 43 a4 65 22 ed c9 6b 80 dd 7e 0b |....uC.e"..k..~.| +00000360 c2 09 94 d2 bd c3 12 58 59 c2 18 16 03 01 00 04 |.......XY.......| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 74 29 84 60 a9 b8 04 09 df fe 6c |....0t).`......l| -00000040 c9 28 46 72 8c 5d 31 8e 89 9b 3a a7 37 35 bf 7a |.(Fr.]1...:.75.z| -00000050 05 28 40 8f c2 ae fc 10 5b 42 a9 34 bb 32 90 de |.(@.....[B.4.2..| -00000060 11 48 0c 39 2a |.H.9*| +00000030 16 03 01 00 30 4d 7e 04 e0 12 23 a3 b8 9f 78 bc |....0M~...#...x.| +00000040 a0 ae a8 70 86 84 0d bf 17 ba 7f d7 46 2c 39 c7 |...p........F,9.| +00000050 39 02 22 0d 84 6a 3f dc d3 aa 88 a0 49 69 36 fa |9."..j?.....Ii6.| +00000060 4f 36 38 55 c0 |O68U.| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 93 75 c8 09 52 |..........0.u..R| -00000010 9f c7 37 30 6b 22 30 b2 c0 3e c8 71 ba 87 70 30 |..70k"0..>.q..p0| -00000020 ff 24 be c0 dc a6 7e 8b ff 82 4a 2b ff 6b 53 63 |.$....~...J+.kSc| -00000030 bc 9b 4b ba 20 56 22 58 41 af 73 |..K. V"XA.s| +00000000 14 03 01 00 01 01 16 03 01 00 30 b7 8b 98 2c 7f |..........0...,.| +00000010 80 cc e2 44 0d 5f 96 ce 87 ee 6b af c6 16 f5 f2 |...D._....k.....| +00000020 e2 bc 82 ea 58 81 d3 a1 f8 40 ed 92 68 38 f8 b8 |....X....@..h8..| +00000030 45 63 6f f0 f3 2b 1e 38 73 98 e9 |Eco..+.8s..| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 c9 4d 8c 62 5f 03 d0 fc 21 0d 39 |.... .M.b_...!.9| -00000010 24 91 16 50 47 e1 65 23 1e 54 89 22 2f de f3 28 |$..PG.e#.T."/..(| -00000020 66 cc f2 dc f1 17 03 01 00 20 d5 87 f0 52 2c d4 |f........ ...R,.| -00000030 bd 2a a5 53 92 05 73 5c 50 f4 37 ba d6 4d bb 97 |.*.S..s\P.7..M..| -00000040 94 67 a1 47 a1 2b f1 49 1f 93 15 03 01 00 20 69 |.g.G.+.I...... i| -00000050 0d 63 bf 8a be 1c 6a dc d6 76 52 88 2d 7e b0 e7 |.c....j..vR.-~..| -00000060 1b a8 4f 67 ad 2a 68 fa 87 4e f9 30 8f 66 cd |..Og.*h..N.0.f.| +00000000 17 03 01 00 20 82 01 3c 29 cf e7 b0 24 6b c6 01 |.... ..<)...$k..| +00000010 10 5f 76 62 b1 0c 7d c8 4c 6c 25 01 61 89 b7 c1 |._vb..}.Ll%.a...| +00000020 c3 2b 93 7e 0b 17 03 01 00 20 3f 9e 81 cc a9 4d |.+.~..... ?....M| +00000030 4b 9c 1d ca 48 0f 44 9c 84 59 57 43 66 ff 67 a2 |K...H.D..YWCf.g.| +00000040 f9 91 b0 ec f1 b9 68 7f 32 f9 15 03 01 00 20 ed |......h.2..... .| +00000050 5e 58 3b 5c 3e f4 d7 2a e9 9e 30 44 60 aa b0 da |^X;\>..*..0D`...| +00000060 3f 0d 8e 6f 3f 65 38 fe a7 e9 fc b4 21 7a c8 |?..o?e8.....!z.| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial index fa48da91711..71044a201af 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 a5 bd a1 05 03 |....Y...U.......| -00000010 c0 42 a5 e7 96 e0 3d fb 64 74 b8 ba d9 51 7a b0 |.B....=.dt...Qz.| -00000020 d0 83 27 df c8 9f a8 19 b3 c2 4d 20 8e ad 11 d0 |..'.......M ....| -00000030 10 a3 49 e0 78 d3 b2 68 1c e0 3e 1c 51 0f 29 76 |..I.x..h..>.Q.)v| -00000040 8b d5 75 97 92 a8 eb b9 33 2c 19 33 c0 13 00 00 |..u.....3,.3....| +00000000 16 03 01 00 59 02 00 00 55 03 01 dc a9 f6 6a 83 |....Y...U.....j.| +00000010 7f 44 b0 d8 7b 88 59 8a 4e 60 7e 09 e4 e1 35 54 |.D..{.Y.N`~...5T| +00000020 0e b3 6c bc 39 5a 6b 74 a1 2c d2 20 7e cf 3a aa |..l.9Zkt.,. ~.:.| +00000030 ca 2c 76 07 b6 fd 08 69 63 bf de c5 9f 91 a6 d9 |.,v....ic.......| +00000040 c6 55 d4 4f bf c1 3f 64 89 64 c6 ef c0 13 00 00 |.U.O..?d.d......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 fa 56 80 7e 3d 82 a3 |........ .V.~=..| -000002d0 76 c6 ca b6 09 f8 92 96 6a 00 9b c9 2b eb 2f 29 |v.......j...+./)| -000002e0 ef 88 18 25 32 e1 71 5b 69 00 80 82 7b 82 f2 0d |...%2.q[i...{...| -000002f0 e5 4e 82 65 cc 82 d8 a4 b6 29 ef 30 c8 8a 67 2b |.N.e.....).0..g+| -00000300 a2 5c d9 96 00 bf 77 bb 42 39 04 e0 92 31 aa bb |.\....w.B9...1..| -00000310 da da a9 df 72 fa 29 f5 bc 53 11 fb e3 0e 03 82 |....r.)..S......| -00000320 6f 1a e0 a2 bf 71 7a 13 0e 18 da 9d 95 44 39 14 |o....qz......D9.| -00000330 df 13 d2 b5 38 71 ae 2f 1f e9 89 34 c3 8d 9f 90 |....8q./...4....| -00000340 75 9c ce b9 0e 7a 73 b7 f4 f0 5a bf c6 94 1e 1a |u....zs...Z.....| -00000350 d2 a9 a9 d5 8b c6 23 f4 ce 66 21 18 ef d6 20 98 |......#..f!... .| -00000360 25 31 3c f2 18 a7 c1 34 52 f7 92 16 03 01 00 04 |%1<....4R.......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 42 dd 37 d1 52 5c 4f |........ B.7.R\O| +000002d0 fc be ec dd bb bb ed 42 83 5f 61 c1 8b df 57 c6 |.......B._a...W.| +000002e0 67 f3 2c 6b 24 2b 69 af 1d 00 80 29 4d f5 69 cd |g.,k$+i....)M.i.| +000002f0 2a 7a e4 1d 1a 58 bb 6a 23 85 5f 27 ab a7 cd c5 |*z...X.j#._'....| +00000300 5d cd 6a 65 26 b4 5e cf 7a d2 c0 57 be 11 1c 7d |].je&.^.z..W...}| +00000310 c6 1a 9c 77 64 df 45 9d 69 82 71 ca 09 29 1f a0 |...wd.E.i.q..)..| +00000320 c8 2a 96 07 1b 39 1b ac e6 e2 90 c7 bf 63 80 a4 |.*...9.......c..| +00000330 04 68 0a 98 70 ac e7 0b fa 7a b1 d1 b9 c1 3b 1b |.h..p....z....;.| +00000340 04 b9 bd 5e 26 0e b8 96 08 c7 a7 50 d3 bc 94 f7 |...^&......P....| +00000350 ca e1 0a 59 96 93 aa e4 e2 07 48 7a 0e a9 e7 9f |...Y......Hz....| +00000360 9f fc 33 98 dc 8d ac ae 97 43 a3 16 03 01 00 04 |..3......C......| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 8b ff 09 80 ff c8 88 67 d3 75 c0 |....0.......g.u.| -00000040 71 a7 7e cd 16 96 d2 1b d0 25 c9 b6 41 55 4c 8f |q.~......%..AUL.| -00000050 eb d6 96 d2 b5 ad 79 9b 52 21 f1 ec 86 cf 6f bf |......y.R!....o.| -00000060 7c b7 c0 a2 43 ||...C| +00000030 16 03 01 00 30 f8 3d fa 89 64 04 0c 2e b0 d3 ed |....0.=..d......| +00000040 3e 70 15 4d be ed 6d 65 d8 7d 1e 61 b1 4f 33 3e |>p.M..me.}.a.O3>| +00000050 93 f6 4d 05 d4 ef 04 88 6d 80 f5 92 91 d1 5e 4c |..M.....m.....^L| +00000060 87 f6 ad a2 e8 |.....| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 fd 22 fd de c9 |..........0."...| -00000010 6a 9c e0 80 91 fd 49 62 bb f6 44 d0 49 3f 8e ef |j.....Ib..D.I?..| -00000020 8d 0b 7c 95 91 f5 43 f4 e3 82 5a 87 19 c8 e9 c9 |..|...C...Z.....| -00000030 c9 85 17 11 42 e3 c3 a9 32 48 1a |....B...2H.| +00000000 14 03 01 00 01 01 16 03 01 00 30 75 21 54 b7 dd |..........0u!T..| +00000010 cb 06 95 26 78 68 89 d8 e6 d6 1e ce 56 42 0a 06 |...&xh......VB..| +00000020 a0 28 7a fd e6 34 77 08 1f aa 50 44 d3 dd 55 a4 |.(z..4w...PD..U.| +00000030 97 0e 0a 8a 74 d2 26 b5 dc 0f b9 |....t.&....| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 6d cd f6 5b 0b 97 70 7c 97 44 ac |.... m..[..p|.D.| -00000010 50 e8 05 6b 06 f3 ae af 36 53 59 d8 d0 32 4e 26 |P..k....6SY..2N&| -00000020 25 34 e9 c1 26 17 03 01 00 20 cc b6 be d4 19 e7 |%4..&.... ......| -00000030 46 c5 94 e1 16 46 0a 82 20 a4 80 a6 cb 49 ad e5 |F....F.. ....I..| -00000040 87 cc f9 82 da ba fd cf 9f f2 15 03 01 00 20 35 |.............. 5| -00000050 2b 9b 0a f4 4b fb e0 96 a0 35 35 6b ce 90 ff d0 |+...K....55k....| -00000060 c1 7c ce 96 49 1f 92 db 4b 04 e9 24 d9 7d e3 |.|..I...K..$.}.| +00000000 17 03 01 00 20 b3 a8 a2 59 4a 27 64 3d 44 f9 2a |.... ...YJ'd=D.*| +00000010 49 20 34 92 1c 36 70 cf d4 8d 6a 3e aa 8d eb d0 |I 4..6p...j>....| +00000020 c1 57 e9 bb a4 17 03 01 00 20 c6 6d f9 73 3a de |.W....... .m.s:.| +00000030 cb cd 9f 22 b0 67 96 8a 24 6a 7c fd 5d ae cf b1 |...".g..$j|.]...| +00000040 fc a4 b6 09 23 1c 46 ea f0 5e 15 03 01 00 20 cd |....#.F..^.... .| +00000050 88 51 17 18 6d 1e 1b 55 30 25 6a 60 85 37 27 fc |.Q..m..U0%j`.7'.| +00000060 7b e2 6e bd 60 44 3f ca b0 24 05 e5 f8 fd 66 |{.n.`D?..$....f| diff --git a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 index 4087aaaa03c..783c8716c98 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 51 02 00 00 4d 03 01 82 69 64 ad 8e |....Q...M...id..| -00000010 b5 87 de ee 60 0d 47 f6 c5 d8 7b 7f 16 db 66 2e |....`.G...{...f.| -00000020 ea 6a 29 d7 2a a5 61 c9 29 39 26 20 a6 23 c0 f7 |.j).*.a.)9& .#..| -00000030 4c b1 63 bd 6c 87 a7 e5 a0 13 9b 3c 59 02 5f 49 |L.c.l......>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 24 23 80 30 c7 7d |..........$#.0.}| -00000010 02 81 1f 0c de a5 eb c1 7b a4 15 df 07 b9 4b 91 |........{.....K.| -00000020 6b 65 4a 44 8e b3 7f 4f cc 68 00 f0 45 ea d2 |keJD...O.h..E..| +00000000 14 03 01 00 01 01 16 03 01 00 24 b5 ca 66 13 27 |..........$..f.'| +00000010 5f d8 c7 4b 63 b3 52 f6 20 42 04 a9 80 d8 0a eb |_..Kc.R. B......| +00000020 f5 e5 d5 80 4b 4a 93 04 80 c9 9b 91 c5 95 55 |....KJ........U| >>> Flow 5 (client to server) -00000000 17 03 01 00 1a 52 24 73 f9 53 7e d9 4b df cf 8b |.....R$s.S~.K...| -00000010 1b d8 2b 18 83 d6 21 64 ec 93 47 c3 5c 51 c8 15 |..+...!d..G.\Q..| -00000020 03 01 00 16 37 11 f6 51 82 98 62 bb 3a f9 30 f7 |....7..Q..b.:.0.| -00000030 0d 47 5a 16 82 3d 63 33 0d 29 |.GZ..=c3.)| +00000000 17 03 01 00 1a 29 82 b0 94 2b ac ea 10 c4 ac fb |.....)...+......| +00000010 b3 fb b1 ba 70 a8 3f 3c df 15 dd d1 3c a2 35 15 |....p.?<....<.5.| +00000020 03 01 00 16 c9 a4 ea 9f 82 5b a1 c0 ed 0d bf 76 |.........[.....v| +00000030 05 3b 2c 4f 60 77 08 63 ae 75 |.;,O`w.c.u| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES index 4a45033004b..2658a7bd0c6 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 53 39 37 4c 5f |....Y...U..S97L_| -00000010 86 cb 55 24 b2 e7 1b 33 62 19 a5 bf bc 58 f7 95 |..U$...3b....X..| -00000020 fc 6e da 58 0f 82 d7 59 0f 0e a0 20 fa bc 90 a8 |.n.X...Y... ....| -00000030 af da 01 75 9f c5 cd c2 24 ef 65 d2 87 50 c6 15 |...u....$.e..P..| -00000040 dc 9f c1 b1 fe 97 74 fa c0 0f 6d ce c0 09 00 00 |......t...m.....| +00000000 16 03 02 00 59 02 00 00 55 03 02 99 a9 bd 21 7e |....Y...U.....!~| +00000010 4d 98 28 ec bb 93 56 fc 99 5a 6e d7 a3 e4 c0 f5 |M.(...V..Zn.....| +00000020 bc 86 b5 58 36 d5 10 ba b0 ef 30 20 e9 75 c8 76 |...X6.....0 .u.v| +00000030 1a 67 46 63 68 d1 b7 77 cd 0d dd df 22 eb 0d c3 |.gFch..w...."...| +00000040 b8 2d e9 e3 70 b4 45 75 e5 23 a5 64 c0 09 00 00 |.-..p.Eu.#.d....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 02 00 b4 0c 00 00 b0 03 00 1d 20 b3 7a |*............ .z| -00000280 3b 0e 5a 45 7e 23 8f f2 1c c9 45 60 5b 21 b8 b7 |;.ZE~#....E`[!..| -00000290 2e 8f 9f ea 88 ec a1 89 d3 53 dd 42 7f 60 00 8a |.........S.B.`..| -000002a0 30 81 87 02 41 4f 85 98 1c 42 c5 b9 06 70 96 a5 |0...AO...B...p..| -000002b0 d5 d7 03 c5 60 ff e4 f9 98 28 84 27 12 b9 6c d2 |....`....(.'..l.| -000002c0 d7 46 b3 1c 8b 22 37 ce ba 7f 29 9c 5a 1d 67 c7 |.F..."7...).Z.g.| -000002d0 5b 01 55 dd 64 98 dc 27 75 29 7f f1 b7 72 ab bc |[.U.d..'u)...r..| -000002e0 6d 4e b8 0d e7 aa 02 42 00 ac 1f ff e3 ac 29 1c |mN.....B......).| -000002f0 1b 3b d1 f3 12 17 70 73 e8 60 7a d7 8d 3c c3 fe |.;....ps.`z..<..| -00000300 3d 8c 0e 5d 3d ed 78 f1 8a f1 b4 5a 8d 50 59 22 |=..]=.x....Z.PY"| -00000310 38 7c e0 03 71 47 32 92 f5 14 95 0e 5b 5b 93 83 |8|..qG2.....[[..| -00000320 67 b2 75 2c 92 39 c3 6b b0 15 16 03 02 00 04 0e |g.u,.9.k........| +00000270 2a 16 03 02 00 b4 0c 00 00 b0 03 00 1d 20 e2 c1 |*............ ..| +00000280 44 d6 04 33 a3 87 2f 75 82 ee 0e 9d 66 a1 69 00 |D..3../u....f.i.| +00000290 97 a8 56 9a 56 53 37 ac 8b 0d c6 6b 91 01 00 8a |..V.VS7....k....| +000002a0 30 81 87 02 42 01 76 a6 f7 c4 e3 d6 4b 0e a6 dc |0...B.v.....K...| +000002b0 1d c0 0d 1d bb 96 d2 de 94 b5 11 bf 5c ff 3e 3f |............\.>?| +000002c0 78 12 86 3a f8 2a ce a7 63 3c eb 2a b4 3b e7 2d |x..:.*..c<.*.;.-| +000002d0 ae b7 22 91 99 c0 4f 6c 2f 5a 7e 8b e6 04 14 82 |.."...Ol/Z~.....| +000002e0 e2 9b d9 7f 0f 72 3b 02 41 29 36 09 e2 8f a4 f4 |.....r;.A)6.....| +000002f0 9a 63 f8 81 5f e5 6e 66 bc e5 99 8c e3 33 c4 70 |.c.._.nf.....3.p| +00000300 c6 aa 36 7f bc 8a 56 eb 77 ad d1 75 ce 3e 9d 80 |..6...V.w..u.>..| +00000310 d5 f0 d2 99 ea 34 36 f0 fc 00 90 20 72 a4 08 bd |.....46.... r...| +00000320 85 d8 d2 70 22 31 50 e4 76 14 16 03 02 00 04 0e |...p"1P.v.......| 00000330 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 70 dd 64 a5 e0 f5 f0 80 40 33 97 |.....p.d.....@3.| -00000050 14 fb bb fb 93 89 fa e9 74 06 67 dc 50 8b b3 01 |........t.g.P...| -00000060 57 d7 61 19 b3 84 fd 3c 3b e8 e7 da 8b 8a 2b c4 |W.a....<;.....+.| -00000070 e3 9e 59 83 b3 |..Y..| +00000040 00 00 00 00 00 e1 fd 16 d2 f8 55 f7 2d 66 44 da |..........U.-fD.| +00000050 c0 9d 53 be 24 ac 54 d6 45 9e 59 f5 eb 75 a2 7b |..S.$.T.E.Y..u.{| +00000060 f3 61 d5 d5 2b b6 45 9e f2 42 73 4f 44 ac 37 8d |.a..+.E..BsOD.7.| +00000070 9b 73 2f 10 1a |.s/..| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 cd 2e cf e5 a0 |..........@.....| -00000010 1c d7 a9 08 63 04 c2 d9 93 c1 99 f0 e1 16 ba b8 |....c...........| -00000020 ac 84 ae 80 7d 93 71 43 fc bd 79 48 0b 1c 61 e4 |....}.qC..yH..a.| -00000030 2d 12 af 5d c3 a5 b5 c1 8e 01 05 18 0c 0a 80 5c |-..]...........\| -00000040 fa 40 45 bc 5d 31 c0 f3 e5 fc c3 |.@E.]1.....| +00000000 14 03 02 00 01 01 16 03 02 00 40 dd b8 d2 2b ef |..........@...+.| +00000010 87 05 12 c2 d7 ac c7 3a b7 b7 40 86 f1 0a 28 40 |.......:..@...(@| +00000020 66 3f 41 eb b1 a6 23 49 31 a1 c5 ab 54 e6 52 34 |f?A...#I1...T.R4| +00000030 b7 6f 05 aa c3 e5 83 51 b2 2b 2f d3 28 83 93 9e |.o.....Q.+/.(...| +00000040 d1 87 18 18 9a 4e f7 1a 8a 21 1f |.....N...!.| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 05 2f c2 e7 08 81 ba 68 5b 25 cf |....../.....h[%.| -00000020 c0 a0 39 61 aa ab 48 f0 90 e0 30 9b 2a b5 9e eb |..9a..H...0.*...| -00000030 7c 50 c7 a8 3c 15 03 02 00 30 00 00 00 00 00 00 ||P..<....0......| -00000040 00 00 00 00 00 00 00 00 00 00 f8 0f 8a 88 c3 b5 |................| -00000050 34 86 a0 00 5d 76 5a 35 d8 4e b0 1f 32 0b c7 a4 |4...]vZ5.N..2...| -00000060 1e ef a3 2f 12 f4 0b 88 ff 77 |.../.....w| +00000010 00 00 00 00 00 8d 19 53 b5 39 6b c0 90 90 2b 15 |.......S.9k...+.| +00000020 0c a6 64 64 b0 86 b2 c9 17 d0 98 58 7f 16 74 47 |..dd.......X..tG| +00000030 aa 35 38 c1 e4 15 03 02 00 30 00 00 00 00 00 00 |.58......0......| +00000040 00 00 00 00 00 00 00 00 00 00 79 3e f5 da 6a 13 |..........y>..j.| +00000050 c5 81 b0 2e 34 ff 97 5c cc 98 b3 a9 46 41 69 67 |....4..\....FAig| +00000060 06 fd 57 ed e1 7b 65 a4 94 c9 |..W..{e...| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES index e7d7a6e6262..9a7ed917a6f 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 59 cd 29 3b 12 |....Y...U..Y.);.| -00000010 81 2e bd 99 e3 df 03 df 2c f5 24 4a 18 c4 0b d6 |........,.$J....| -00000020 1f eb 0e cd 47 79 ab cd 96 97 44 20 69 12 07 f3 |....Gy....D i...| -00000030 70 79 68 10 c6 82 3e 66 e4 96 f7 36 73 f2 2d 23 |pyh...>f...6s.-#| -00000040 b6 ed b0 94 0a 5d 08 a2 8d 64 f8 c2 c0 13 00 00 |.....]...d......| +00000000 16 03 02 00 59 02 00 00 55 03 02 5a 51 f7 e9 a6 |....Y...U..ZQ...| +00000010 91 89 84 d0 73 9a 0e e3 f6 85 12 24 ab af 70 66 |....s......$..pf| +00000020 61 4c 2f 76 f9 03 84 33 fd a6 e4 20 86 a8 51 d8 |aL/v...3... ..Q.| +00000030 05 7f 4f e0 bb d1 87 87 54 e2 74 95 7d e0 dd cb |..O.....T.t.}...| +00000040 b1 9c 28 25 c7 e9 fa de fa f0 54 3f c0 13 00 00 |..(%......T?....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 02 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 01 c3 30 7c c2 32 09 |........ ..0|.2.| -000002d0 47 41 e7 93 bb 53 1f 42 1e 33 98 64 f1 58 7f 89 |GA...S.B.3.d.X..| -000002e0 e3 62 da 46 bb 17 85 89 66 00 80 02 04 fd e4 9c |.b.F....f.......| -000002f0 3a 29 5b 72 99 38 15 49 d1 ba 0f 70 3c 04 04 f8 |:)[r.8.I...p<...| -00000300 26 c2 63 fd 97 11 53 e2 c8 e8 78 e8 fa a7 d8 ad |&.c...S...x.....| -00000310 c5 72 3d 69 8b 62 46 74 13 fd d0 21 6b e7 bc 79 |.r=i.bFt...!k..y| -00000320 24 e5 3c 86 fe bb 83 d3 9c ab 67 5e 28 14 7b e6 |$.<.......g^(.{.| -00000330 1b 7e 09 34 0e 0c 48 97 82 89 6f f2 f9 ce 60 92 |.~.4..H...o...`.| -00000340 45 fc 1a 7f 06 c0 ad dd c0 02 13 f0 9e 89 b6 26 |E..............&| -00000350 1e 1e 4c 9b d3 0d b6 cc cd e7 c0 cb a2 f0 e8 bd |..L.............| -00000360 00 a1 65 88 79 66 bd bd a9 0e cb 16 03 02 00 04 |..e.yf..........| +000002c0 aa 0c 00 00 a6 03 00 1d 20 2a 0a e8 21 a2 cc f2 |........ *..!...| +000002d0 8c e6 52 c4 af 5b 84 62 be 03 df d0 b9 07 82 0a |..R..[.b........| +000002e0 08 72 b1 19 e3 c5 0b b8 7a 00 80 39 9c a4 13 54 |.r......z..9...T| +000002f0 07 44 4b 89 78 e4 fd 39 18 d1 a2 f7 cb 1b 07 9c |.DK.x..9........| +00000300 4e b2 70 09 9e 24 8c b0 b8 13 fb 5c 4f 43 0a 13 |N.p..$.....\OC..| +00000310 e7 69 df 50 70 94 47 fc 72 ba 44 26 4d ae 11 70 |.i.Pp.G.r.D&M..p| +00000320 90 91 37 ba 0b 9c 1f e0 c8 d8 20 5b ab 0f b2 3b |..7....... [...;| +00000330 79 9f 63 d0 14 04 f9 98 69 71 e3 6b ac fa 1a bb |y.c.....iq.k....| +00000340 86 40 4b 75 fd a3 87 7d 00 61 c2 25 2a 47 d2 eb |.@Ku...}.a.%*G..| +00000350 41 a7 9f 32 3e 75 bc c7 7e 1b b2 93 25 f8 52 e6 |A..2>u..~...%.R.| +00000360 c9 09 95 72 73 81 fa 22 f2 3d 51 16 03 02 00 04 |...rs..".=Q.....| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 11 5e 9d ee 6d 6d 88 80 2a b4 98 |......^..mm..*..| -00000050 1f 58 ab f6 93 ae 05 66 64 a5 18 30 0d ce ba b7 |.X.....fd..0....| -00000060 15 71 39 13 49 5b 61 26 a3 6c 0f dc c6 5e 62 69 |.q9.I[a&.l...^bi| -00000070 43 29 bd e6 02 |C)...| +00000040 00 00 00 00 00 6a 8d d0 57 ad 57 5c 67 58 e0 c9 |.....j..W.W\gX..| +00000050 00 5f f9 67 fe b1 86 b4 c2 42 43 ff a3 a2 81 c0 |._.g.....BC.....| +00000060 87 49 8f 65 cb 05 63 28 68 76 b6 c5 1d 09 3f f6 |.I.e..c(hv....?.| +00000070 3f 95 d3 1c 6a |?...j| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 bd 06 5b 7a c1 |..........@..[z.| -00000010 81 9a 6f 45 69 df 11 1f 47 7d 55 75 8f 4b 3a 24 |..oEi...G}Uu.K:$| -00000020 0d 50 18 e4 2c 7e a2 42 7f b9 cb 19 d5 74 9d b1 |.P..,~.B.....t..| -00000030 de 0e 20 cb 96 5c 25 ab 39 5e 4a 37 c7 76 4d 70 |.. ..\%.9^J7.vMp| -00000040 33 85 88 af 0e a2 9b 35 6e 3f 85 |3......5n?.| +00000000 14 03 02 00 01 01 16 03 02 00 40 07 a0 3a a9 bf |..........@..:..| +00000010 c5 d0 b6 72 5e f7 ac 37 9d b6 59 ea c2 9a 11 7c |...r^..7..Y....|| +00000020 d8 50 f2 b0 15 6e 7b d8 d9 ea d8 bd c3 7a ab 08 |.P...n{......z..| +00000030 37 65 3a 4c c1 19 7c 12 f5 ad 32 b3 52 1b c0 bb |7e:L..|...2.R...| +00000040 07 61 f0 7d a7 7e 07 55 c3 cc b6 |.a.}.~.U...| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 79 30 a5 ba 38 7a 30 6b a9 63 69 |.....y0..8z0k.ci| -00000020 ae e4 6e 44 91 7f bf 8a bd 7c 06 e9 e9 e2 2e 32 |..nD.....|.....2| -00000030 82 7c 30 a5 1a 15 03 02 00 30 00 00 00 00 00 00 |.|0......0......| -00000040 00 00 00 00 00 00 00 00 00 00 ae 11 88 5d 71 56 |.............]qV| -00000050 94 55 41 46 f8 3f e3 4f 7d 4a 4d d6 32 2f 66 e8 |.UAF.?.O}JM.2/f.| -00000060 73 d7 af 3a 9d 15 c7 39 da ab |s..:...9..| +00000010 00 00 00 00 00 8b 81 ab 0d f8 3a cd 08 f7 c3 05 |..........:.....| +00000020 70 09 0b f2 e7 30 13 5d c1 be 18 d2 e9 95 eb 6b |p....0.].......k| +00000030 8a ae b7 0a 5c 15 03 02 00 30 00 00 00 00 00 00 |....\....0......| +00000040 00 00 00 00 00 00 00 00 00 00 4c e0 ae 5d 90 e3 |..........L..]..| +00000050 45 aa 90 25 38 6b a7 a9 32 27 eb 04 d0 bc a0 ef |E..%8k..2'......| +00000060 ed f9 19 9e 48 b9 51 c9 dc 1c |....H.Q...| diff --git a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 index 01d45feb691..3eb2611e260 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 02 00 51 02 00 00 4d 03 02 82 9e 87 8c f7 |....Q...M.......| -00000010 04 dc 46 69 c2 2c 25 27 fe e9 c5 19 60 2e a8 1e |..Fi.,%'....`...| -00000020 96 9b 51 e7 67 37 34 2b c7 a0 ea 20 37 f1 01 a6 |..Q.g74+... 7...| -00000030 91 90 22 c7 19 fa 5b 73 f8 82 30 d5 2e d3 70 77 |.."...[s..0...pw| -00000040 b1 21 ab 13 ac 2e ee 70 1f 70 a6 03 00 05 00 00 |.!.....p.p......| +00000000 16 03 02 00 51 02 00 00 4d 03 02 bb e6 5e 57 fe |....Q...M....^W.| +00000010 00 8c 44 db 22 5b de 0e ff 2a fc 0e eb df 3d 16 |..D."[...*....=.| +00000020 38 71 86 2f dd 27 aa 4a c0 11 ad 20 8d ff 20 5c |8q./.'.J... .. \| +00000030 70 27 a8 c6 d4 08 51 ca 42 0e 76 2e 29 6d 7c 0d |p'....Q.B.v.)m|.| +00000040 e6 ab e6 9c 73 b0 a3 b5 74 8a 02 eb 00 05 00 00 |....s...t.......| 00000050 05 ff 01 00 01 00 16 03 02 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 02 00 01 |.Y(.....ia5.....| -00000090 01 16 03 02 00 24 97 a4 5a 95 64 10 ce 10 6e 35 |.....$..Z.d...n5| -000000a0 d5 b6 98 7a eb 16 70 7f 2b a7 58 7b 6d a9 4c 74 |...z..p.+.X{m.Lt| -000000b0 39 b6 21 f8 c7 fb c0 69 3a 7b |9.!....i:{| +00000090 01 16 03 02 00 24 7f 99 25 95 e1 2b 15 b7 fb e3 |.....$..%..+....| +000000a0 0f ca 82 fa 7e 8d 73 42 76 a5 29 ca ad d6 68 93 |....~.sBv.)...h.| +000000b0 eb e1 5a 03 1e 6c c0 0d c4 98 |..Z..l....| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 24 64 0e b1 4f 0b |..........$d..O.| -00000010 a4 00 7e 11 d4 16 15 1e d2 4e e3 60 e0 5b 49 e0 |..~......N.`.[I.| -00000020 1a f8 9f fd fe ac c5 3f 54 17 32 15 ea f6 89 |.......?T.2....| +00000000 14 03 02 00 01 01 16 03 02 00 24 03 be 1b ca f3 |..........$.....| +00000010 a7 05 08 0b 1f 97 ba 69 2e 6f 79 46 1b 42 74 87 |.......i.oyF.Bt.| +00000020 17 0f 28 3b 24 2f 27 7f d6 38 c1 ee 84 df f6 |..(;$/'..8.....| >>> Flow 5 (client to server) -00000000 17 03 02 00 1a 07 02 7e 0d c8 18 5a 5a c7 54 14 |.......~...ZZ.T.| -00000010 00 f3 4d f2 df 67 45 b2 85 57 94 ef 34 46 c8 15 |..M..gE..W..4F..| -00000020 03 02 00 16 c6 b7 e6 42 38 38 c6 87 17 33 0e 72 |.......B88...3.r| -00000030 72 23 77 8b 77 85 43 84 95 91 |r#w.w.C...| +00000000 17 03 02 00 1a b6 6c d8 5b 72 0b b9 85 03 57 4a |......l.[r....WJ| +00000010 24 67 ea 29 eb c5 d0 15 d0 15 61 d1 7a 72 21 15 |$g.)......a.zr!.| +00000020 03 02 00 16 de 42 49 3c 6d 5d 08 e2 09 3f 3e 78 |.....BIx| +00000030 e8 e8 22 c8 2c 34 20 bf 41 b2 |..".,4 .A.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 index 133ffd1701b..a27042bcfee 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 cb 4c e4 db 6d |....Q...M...L..m| -00000010 8b ac 73 af 98 be f4 c4 e6 a9 78 3d 4b 1a b4 0c |..s.......x=K...| -00000020 4d 96 20 7c 0e a4 11 62 76 06 e6 20 d4 82 56 2a |M. |...bv.. ..V*| -00000030 f1 a9 08 dc 1a a7 c6 57 e7 13 e5 32 e1 54 04 97 |.......W...2.T..| -00000040 5d b5 65 dc 19 35 af 9f fc 1c 03 c4 00 9c 00 00 |].e..5..........| +00000000 16 03 03 00 51 02 00 00 4d 03 03 75 db e0 3c c5 |....Q...M..u..<.| +00000010 e9 69 9d ef fa 68 cf a8 bc 77 dd b3 32 f0 d4 a3 |.i...h...w..2...| +00000020 03 78 df 2b 76 66 9f 47 5d b6 5a 20 1f e3 05 06 |.x.+vf.G].Z ....| +00000030 15 5a 16 c4 e7 ea 2d 10 82 d4 b0 ba f4 47 80 63 |.Z....-......G.c| +00000040 c5 09 38 20 56 42 45 14 d6 ef 25 b7 00 9c 00 00 |..8 VBE...%.....| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 64 31 |.....(........d1| -000000a0 70 47 e6 60 ae ba 94 4e 4b ab 8a 54 c2 f9 57 24 |pG.`...NK..T..W$| -000000b0 29 92 8d ef 74 62 5b 10 4e 30 24 d9 19 14 |)...tb[.N0$...| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 ac df |.....(..........| +000000a0 30 ee e4 a3 44 02 a6 70 1c 93 d3 30 18 1a 2b 89 |0...D..p...0..+.| +000000b0 4b 96 49 31 bd b0 29 8c 4c 95 64 cf 69 85 |K.I1..).L.d.i.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 0d f1 4e 5d 21 |..........(..N]!| -00000010 ea 12 ca ec 3f f3 1d 86 b4 44 7a 3b 0d 7e cf f4 |....?....Dz;.~..| -00000020 79 29 6a 16 7e b0 94 39 b9 bc ee 1e bd 03 9c 2b |y)j.~..9.......+| -00000030 75 d0 03 |u..| +00000000 14 03 03 00 01 01 16 03 03 00 28 d3 3b 44 b3 42 |..........(.;D.B| +00000010 a5 4b 79 96 92 aa 8e 9d 3e 6f f1 94 60 17 1a 30 |.Ky.....>o..`..0| +00000020 e1 e4 ba 0c 77 c8 f7 16 85 e4 c0 52 50 95 cf 25 |....w......RP..%| +00000030 d0 c0 cb |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 e4 63 c3 |..............c.| -00000010 64 b0 f1 ab 9f 4b e8 ca 37 99 c5 ce a8 60 eb 02 |d....K..7....`..| -00000020 d2 6b c2 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.k..............| -00000030 81 f0 f5 6e f9 33 92 3c d2 45 8c 26 47 6e 0f b2 |...n.3.<.E.&Gn..| -00000040 15 de |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 47 a3 ef |.............G..| +00000010 ac ea 09 a0 17 33 f0 6c e7 fe 84 3c e5 ca 27 63 |.....3.l...<..'c| +00000020 f2 61 c9 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.a..............| +00000030 b8 67 ce 7a 6b 87 be cd 8e 99 84 8e f4 c0 c3 85 |.g.zk...........| +00000040 45 18 |E.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 index bfa9e1cdf2d..a7e7682e2a9 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 19 22 26 16 f4 |....Q...M..."&..| -00000010 cf ff b1 9d 46 ab 20 78 db 0a 85 f9 c2 3e 85 0f |....F. x.....>..| -00000020 94 32 4c 68 16 da 49 fc 5d ee e1 20 15 58 b2 d2 |.2Lh..I.].. .X..| -00000030 38 6e c1 78 3f 29 17 be ef 55 88 91 25 fa fa f9 |8n.x?)...U..%...| -00000040 6e 16 a3 89 87 be 60 a2 b7 0e 9d 5d 00 3c 00 00 |n.....`....].<..| +00000000 16 03 03 00 51 02 00 00 4d 03 03 9a 55 15 cd e2 |....Q...M...U...| +00000010 e9 e3 b8 b6 10 55 c1 9c ac 38 48 3d 38 3a 07 88 |.....U...8H=8:..| +00000020 94 68 9d 87 e2 4d 0f f6 ac 63 22 20 e5 24 50 cc |.h...M...c" .$P.| +00000030 1d d0 5b d9 51 fc 9c c0 a7 59 c0 2b b5 b7 26 25 |..[.Q....Y.+..&%| +00000040 80 32 27 cb 5b 61 f9 2f a3 62 21 ed 00 3c 00 00 |.2'.[a./.b!..<..| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -72,25 +72,25 @@ 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| 00000090 01 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 |.....P..........| -000000a0 00 00 00 00 00 00 b7 25 38 ba da f3 69 4f 1d fc |.......%8...iO..| -000000b0 d9 2b de 80 9f 58 cf 8a 63 c7 c6 4d 2d a7 5f d9 |.+...X..c..M-._.| -000000c0 fe af c2 c5 31 05 e4 4c 84 da ed a2 4b f9 a8 d7 |....1..L....K...| -000000d0 27 b0 a2 2f 02 58 58 d2 a4 9e 1d 34 13 68 66 7a |'../.XX....4.hfz| -000000e0 25 d1 29 59 9f 42 |%.)Y.B| +000000a0 00 00 00 00 00 00 58 0a 99 e2 e6 c6 11 15 7c ea |......X.......|.| +000000b0 ca cc 41 04 bf ca b1 95 f4 54 81 0c d2 db 32 16 |..A......T....2.| +000000c0 15 0a 3c c6 8b 13 17 3e ec 81 5c 27 d7 e9 31 9f |..<....>..\'..1.| +000000d0 3d 19 99 7a 2e 60 54 d2 33 99 cd cf f2 5c f7 33 |=..z.`T.3....\.3| +000000e0 db dc 0b 6e e7 f4 |...n..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 db 6d 94 66 09 |..........P.m.f.| -00000010 e5 13 a6 e6 c1 ee 7b fd 4b 08 9a 47 ba c8 65 1f |......{.K..G..e.| -00000020 64 d4 fa a1 be f0 46 9c 7b 01 3e e8 5c 5c 03 e4 |d.....F.{.>.\\..| -00000030 91 50 5a fd 5c 47 1d b2 07 69 4d 69 b0 fc ab 19 |.PZ.\G...iMi....| -00000040 b9 1c ee e5 85 dd 0e 53 c8 41 89 73 9f 0c 4e 09 |.......S.A.s..N.| -00000050 18 8b 36 30 41 a2 3c 47 f9 35 26 |..60A.>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 32 01 55 b8 d5 09 08 85 3e 6f 31 |.....2.U.....>o1| -00000020 28 2e b4 ba cc 1f 98 6d cf fd 09 39 5b 22 f4 1d |(......m...9["..| -00000030 55 76 b9 92 40 bf fb a3 29 34 7b 97 46 be 7c c6 |Uv..@...)4{.F.|.| -00000040 21 51 18 b8 ea 15 03 03 00 40 00 00 00 00 00 00 |!Q.......@......| -00000050 00 00 00 00 00 00 00 00 00 00 c1 66 a8 ac b8 ca |...........f....| -00000060 36 7a c8 e0 db 49 c4 38 57 e6 95 0e 8b a0 9b d9 |6z...I.8W.......| -00000070 bf c9 70 02 88 fe 6f 4d ff 52 c2 6b de 12 83 7a |..p...oM.R.k...z| -00000080 4e 5c e5 56 da b9 cc 69 6b 2a |N\.V...ik*| +00000010 00 00 00 00 00 a8 20 05 d6 1b 43 9d bf 24 f0 f8 |...... ...C..$..| +00000020 7d 1c e2 4f f3 04 bd ce 32 fd 62 e4 ac 89 eb ef |}..O....2.b.....| +00000030 e6 31 1b f7 30 15 30 5f 63 6d bb cf e5 b5 0f 1f |.1..0.0_cm......| +00000040 24 7b 2f 2b 65 15 03 03 00 40 00 00 00 00 00 00 |${/+e....@......| +00000050 00 00 00 00 00 00 00 00 00 00 da ce dc 65 01 6e |.............e.n| +00000060 d5 a7 51 a7 78 27 77 c1 95 99 89 c6 22 0b 47 d6 |..Q.x'w.....".G.| +00000070 c1 b8 88 f5 3b 1f 63 3f e8 1f bf 25 cc 31 c7 26 |....;.c?...%.1.&| +00000080 b4 40 29 36 8d d1 78 e4 6f 18 |.@)6..x.o.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 index 064fe74407e..489b431eaf2 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 13 c6 71 0e 1c |....Q...M....q..| -00000010 9d 6c b3 29 65 e4 e4 9c 4f b8 1a 4c 20 c0 ab 68 |.l.)e...O..L ..h| -00000020 02 d8 8e 64 47 81 de 49 aa 9a e1 20 d4 62 7f fb |...dG..I... .b..| -00000030 35 44 ea 34 c7 11 67 02 0e 29 c5 e7 ce e1 dd 9a |5D.4..g..)......| -00000040 30 4d 1f 3c 33 4c a8 e4 1d 9e 46 1d 00 9d 00 00 |0M.<3L....F.....| +00000000 16 03 03 00 51 02 00 00 4d 03 03 0b c0 be d3 90 |....Q...M.......| +00000010 a9 43 ec 8e 98 dc a1 75 be 51 bc bb 1a 36 f9 cc |.C.....u.Q...6..| +00000020 7c c1 03 dc 0f fc 07 9a 26 0e 46 20 9b 0b a7 22 ||.......&.F ..."| +00000030 0d 55 2c 30 b7 24 a9 b0 3c 95 f5 bb c2 c4 ca 7f |.U,0.$..<.......| +00000040 74 30 f4 cf 86 76 fe 35 fc 7c da cb 00 9d 00 00 |t0...v.5.|......| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 93 54 |.....(.........T| -000000a0 1c 43 c5 3a af 00 ca 57 bf c3 e7 23 d9 3d aa 65 |.C.:...W...#.=.e| -000000b0 a2 03 6f 11 e8 f0 83 75 1d bf 18 5e de e9 |..o....u...^..| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 f0 a1 |.....(..........| +000000a0 0f 44 dc 30 64 bc 44 24 d2 fc 39 83 79 b6 c8 fc |.D.0d.D$..9.y...| +000000b0 63 bd d1 7f 92 e4 17 84 81 15 ad 0a 01 fc |c.............| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 85 12 50 c7 bf |..........(..P..| -00000010 bd 45 08 23 4d 19 0d 23 ec dc 0f c3 4a ab ce ca |.E.#M..#....J...| -00000020 ed 92 6e 9c 98 04 03 34 6a 9b 40 c8 32 7b ad 45 |..n....4j.@.2{.E| -00000030 eb 6c c8 |.l.| +00000000 14 03 03 00 01 01 16 03 03 00 28 76 8e ea 39 78 |..........(v..9x| +00000010 86 ec 81 ae 02 32 85 2c be 12 c3 4f 93 79 76 06 |.....2.,...O.yv.| +00000020 1e 67 94 78 bd f3 10 37 47 d6 eb 8a 66 03 a8 21 |.g.x...7G...f..!| +00000030 1a e0 01 |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 7d 2f 22 |.............}/"| -00000010 84 f3 1e c7 67 91 3c 2a ad b2 7f e0 43 57 6a e5 |....g.<*....CWj.| -00000020 48 34 3b 15 03 03 00 1a 00 00 00 00 00 00 00 02 |H4;.............| -00000030 e3 14 88 cb d7 4d fc f9 22 c5 35 57 3f 01 06 ee |.....M..".5W?...| -00000040 51 37 |Q7| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 5a 0e 91 |.............Z..| +00000010 97 a5 c9 71 4f 1e 34 72 e5 ce 91 df 6e e7 82 36 |...qO.4r....n..6| +00000020 2c ba bf 15 03 03 00 1a 00 00 00 00 00 00 00 02 |,...............| +00000030 57 1e 33 03 9c 8a 97 34 d6 cd b6 ff e0 2e f6 54 |W.3....4.......T| +00000040 24 2b |$+| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ALPN b/src/crypto/tls/testdata/Client-TLSv12-ALPN index 62547e8d982..5e4c00accbd 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv12-ALPN @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 10 01 00 01 0c 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 12 01 00 01 0e 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,22 +7,22 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 91 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 93 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 10 00 10 00 0e 06 70 72 6f |a............pro| -000000d0 74 6f 32 06 70 72 6f 74 6f 31 00 12 00 00 00 2b |to2.proto1.....+| -000000e0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| -000000f0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| -00000100 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| -00000110 5f 58 cb 3b 74 |_X.;t| +000000c0 61 fe 62 ff 01 00 01 00 00 10 00 10 00 0e 06 70 |a.b............p| +000000d0 72 6f 74 6f 32 06 70 72 6f 74 6f 31 00 12 00 00 |roto2.proto1....| +000000e0 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 33 00 |.+............3.| +000000f0 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 |&.$... /.}.G.bC.| +00000100 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| +00000110 90 99 5f 58 cb 3b 74 |.._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 66 02 00 00 62 03 03 03 63 43 e2 aa |....f...b...cC..| -00000010 e5 ae 32 e1 99 ae 4e dc 37 e3 85 33 8f f6 f3 71 |..2...N.7..3...q| -00000020 e2 a4 31 5a e4 15 3d 46 1e a7 65 20 76 47 6a ba |..1Z..=F..e vGj.| -00000030 9e 18 7b 5c b9 e9 47 24 dc 7f 73 83 b6 c8 07 5a |..{\..G$..s....Z| -00000040 40 c0 2e 46 79 aa 62 47 98 9d 88 b6 cc a8 00 00 |@..Fy.bG........| +00000000 16 03 03 00 66 02 00 00 62 03 03 71 5b 77 b0 27 |....f...b..q[w.'| +00000010 a7 0a c3 c9 99 21 5a ec 10 e3 21 84 18 77 cc 1f |.....!Z...!..w..| +00000020 e3 a8 74 47 78 83 92 4c 8c c5 d8 20 e4 3c 73 ff |..tGx..L... ....B...=.| 000002c0 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -000002d0 00 a8 03 00 1d 20 d5 64 87 69 60 d4 6c 1d f4 7f |..... .d.i`.l...| -000002e0 a7 ac a2 02 a5 d3 c6 71 f0 f2 e9 78 71 e9 f8 66 |.......q...xq..f| -000002f0 01 65 1a 3e 0d 16 08 04 00 80 60 b9 62 12 e0 22 |.e.>......`.b.."| -00000300 c8 8e 93 4f 0b 1f 3b 0b 23 9a a5 d7 a9 18 ef 30 |...O..;.#......0| -00000310 e9 e4 17 a6 30 69 20 44 f0 20 2f 41 b2 cd 22 b8 |....0i D. /A..".| -00000320 71 a4 bd b9 df 88 e3 c4 93 66 86 bc bd 98 76 6c |q........f....vl| -00000330 c5 11 6e f3 dd 53 e4 0c 27 2b 6f fd 6f 6a 75 81 |..n..S..'+o.oju.| -00000340 8a 55 55 a5 ea 8c a7 c1 07 bb 8d 2e e9 1d e3 9e |.UU.............| -00000350 df d2 91 cf 86 45 31 af 18 2e fd 83 8c 40 79 31 |.....E1......@y1| -00000360 07 4c c2 75 5a 3d 73 2d 25 70 32 ee 10 ce 53 df |.L.uZ=s-%p2...S.| -00000370 61 20 d0 a4 81 a2 b0 e9 0d cd 16 03 03 00 04 0e |a ..............| +000002d0 00 a8 03 00 1d 20 bf 57 20 1d 51 47 a3 46 01 9d |..... .W .QG.F..| +000002e0 42 8e d9 28 0f 6a dc 0c 08 35 e1 82 c8 6c 6b c1 |B..(.j...5...lk.| +000002f0 6a 13 d4 f4 70 2c 08 04 00 80 b5 46 25 9e 2c 7b |j...p,.....F%.,{| +00000300 78 35 06 d1 5a 22 16 85 7b 96 bf 5d 3e 11 a1 5d |x5..Z"..{..]>..]| +00000310 3c 18 45 24 47 d5 fb 9b 62 df 94 71 18 b1 e8 8b |<.E$G...b..q....| +00000320 fe 1a 12 6c 15 a0 65 09 bd 83 4d 68 91 38 32 08 |...l..e...Mh.82.| +00000330 36 9f 9c 3d 83 97 13 bd 7c bf 1d 83 13 ff 74 ad |6..=....|.....t.| +00000340 d3 96 8b 3a f9 97 41 28 c3 12 a6 1d 78 4e 81 d5 |...:..A(....xN..| +00000350 85 ca 0a bc 32 76 17 6d b9 45 8f 32 6c f3 56 15 |....2v.m.E.2l.V.| +00000360 b2 b4 e1 1d 1e d4 a6 3d 8f 4e c7 09 7d 8e 9c 92 |.......=.N..}...| +00000370 d2 a5 b2 c8 79 57 6e 03 9b 7f 16 03 03 00 04 0e |....yWn.........| 00000380 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 c5 8a 8f fc 12 ff 7c 65 d3 7f 6f |.... ......|e..o| -00000040 dc 7a fd b0 48 91 f1 f6 aa 3f 54 33 e1 e7 0c 01 |.z..H....?T3....| -00000050 37 56 01 b8 e1 |7V...| +00000030 16 03 03 00 20 47 e6 01 86 32 17 38 2a fb 1e 9b |.... G...2.8*...| +00000040 90 a3 86 34 6c 25 73 bd 10 d8 ca 9e 6d a8 e4 2b |...4l%s.....m..+| +00000050 ca 69 1e 59 58 |.i.YX| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 85 65 54 76 d2 |.......... .eTv.| -00000010 34 44 f3 81 5f c4 c7 57 1a 7a 36 52 14 48 19 ff |4D.._..W.z6R.H..| -00000020 ed 2d c0 5c a8 a6 5e 45 fd 86 e0 |.-.\..^E...| +00000000 14 03 03 00 01 01 16 03 03 00 20 9a 5f 51 13 9b |.......... ._Q..| +00000010 d1 99 6a 19 3e 3b 63 35 13 23 8c 21 5c 8f c9 c0 |..j.>;c5.#.!\...| +00000020 61 8f fc 5a cf 6c b1 2b f5 d3 59 |a..Z.l.+..Y| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 7f 64 e6 29 60 b1 a8 7c e3 c5 11 |......d.)`..|...| -00000010 09 71 03 d7 f6 a6 2a 5f 13 c7 b6 15 03 03 00 12 |.q....*_........| -00000020 ae 94 4e 53 d4 48 e0 d0 66 57 8c 0d da 5b df c9 |..NS.H..fW...[..| -00000030 34 80 |4.| +00000000 17 03 03 00 16 a2 c7 21 a9 e6 00 e7 f1 a2 15 e3 |.......!........| +00000010 d8 ed db 4d 46 c2 f3 09 cb 5c 9f 15 03 03 00 12 |...MF....\......| +00000020 df bd 79 48 93 ee 0b fd c6 a3 7f ca 16 99 40 94 |..yH..........@.| +00000030 0e 78 |.x| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA index b3388a23505..14fa0f40b4f 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 57 a3 3a d0 97 |....Y...U..W.:..| -00000010 73 13 b1 83 3a 7b 4c 62 1d fe 0e aa bd ef 05 7c |s...:{Lb.......|| -00000020 34 71 f9 e3 6c b1 50 a5 f7 ed a3 20 08 87 7f 65 |4q..l.P.... ...e| -00000030 b8 c3 f5 23 7c a9 a2 82 c4 0c d1 0d 82 39 24 db |...#|........9$.| -00000040 d6 8e 5a f3 00 29 09 d4 96 58 1e 9d c0 09 00 00 |..Z..)...X......| +00000000 16 03 03 00 59 02 00 00 55 03 03 f3 e7 b0 11 18 |....Y...U.......| +00000010 be 05 00 86 c2 01 40 74 14 73 58 a2 8f 74 08 e5 |......@t.sX..t..| +00000020 c9 05 92 0f ca fa f5 7f fb 47 2a 20 4f f8 56 1b |.........G* O.V.| +00000030 f1 89 59 39 f9 a8 17 d1 d5 f1 5d 3b d2 d1 ab 20 |..Y9......];... | +00000040 cd 4b 9f 4b ea 1c a7 b2 a2 fa b5 af c0 09 00 00 |.K.K............| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 f5 cf |*............ ..| -00000280 8d 59 c0 98 8d 7e 9d 4e 9e f7 23 15 6e 13 e0 29 |.Y...~.N..#.n..)| -00000290 6f 05 53 8f e8 22 63 4c 82 8c 21 f4 f0 3a 04 03 |o.S.."cL..!..:..| -000002a0 00 8b 30 81 88 02 42 01 48 65 c2 fc 10 5c b0 3f |..0...B.He...\.?| -000002b0 62 97 2a b6 af c7 16 4f e9 62 97 c6 34 8f 99 a2 |b.*....O.b..4...| -000002c0 ab 3d 94 d0 46 55 38 20 71 a8 50 15 77 14 67 e3 |.=..FU8 q.P.w.g.| -000002d0 2a b4 7f f9 b1 63 59 84 cf c4 d2 73 fa bc 6a da |*....cY....s..j.| -000002e0 94 1c 0c a9 5f 8c 8b c9 8e 02 42 01 09 5a 88 05 |...._.....B..Z..| -000002f0 3a 5e 75 17 38 5b 78 59 56 53 68 bc 17 5c 60 27 |:^u.8[xYVSh..\`'| -00000300 8b 2b 04 ab 76 48 7d 96 87 0b d1 9e 46 7a 49 2b |.+..vH}.....FzI+| -00000310 f9 b8 b5 17 ee c6 83 9b b4 06 4a f0 6f ac eb 33 |..........J.o..3| -00000320 db dc 15 cd 32 e7 eb b5 9a e3 ae dc 3b 16 03 03 |....2.......;...| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 68 ad |*............ h.| +00000280 b0 8f 86 a7 e5 d6 11 47 e1 b2 ab 4a 39 4a 2c 77 |.......G...J9J,w| +00000290 8c e9 5c 94 b8 81 f0 4c 13 da e6 5c b7 1c 04 03 |..\....L...\....| +000002a0 00 8b 30 81 88 02 42 01 d7 fb 9c 01 0d a8 3c 0f |..0...B.......<.| +000002b0 d9 b1 54 04 25 54 d6 58 b8 9a 89 a0 2b 95 5e 49 |..T.%T.X....+.^I| +000002c0 f1 83 cf af 4f 8b 86 b2 ee 15 cc 31 1d 71 58 79 |....O......1.qXy| +000002d0 25 54 a7 a2 99 df f8 df 76 3f 17 5d 81 f5 29 c1 |%T......v?.]..).| +000002e0 53 5e 09 8c 3f 55 9a 7e 0d 02 42 00 85 bd d6 5f |S^..?U.~..B...._| +000002f0 b5 68 d4 72 b5 c0 e9 60 32 cb 9e 66 61 8f d4 cc |.h.r...`2..fa...| +00000300 f9 14 70 a9 1a 45 f9 94 e8 44 4e b7 94 05 b1 69 |..p..E...DN....i| +00000310 1e 77 64 42 1d 94 90 f5 18 d3 b2 19 9e 9f 9f 86 |.wdB............| +00000320 d4 0e c4 f8 30 85 c3 92 a0 1f e0 ad d4 16 03 03 |....0...........| 00000330 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000340 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000350 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -109,32 +109,32 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 92 0f 00 |...._X.;t.......| -00000240 00 8e 04 03 00 8a 30 81 87 02 41 7e 1a 78 8d 66 |......0...A~.x.f| -00000250 ed 42 75 83 c7 73 bc c2 50 5e 96 03 27 8e 17 b6 |.Bu..s..P^..'...| -00000260 35 7e d9 f1 99 de d8 73 45 bb 95 56 e0 7f ba 57 |5~.....sE..V...W| -00000270 93 bf fd 8c eb 63 e6 0c d9 53 cb 45 58 70 00 23 |.....c...S.EXp.#| -00000280 68 0c b1 4d ad 92 ef 82 68 13 f7 f9 02 42 01 f2 |h..M....h....B..| -00000290 53 f1 46 68 f3 46 6b 86 44 62 c2 85 bc 21 fe a7 |S.Fh.Fk.Db...!..| -000002a0 fe 1d ef ea 9b 9f 86 d0 35 ed 5c 8b 01 80 46 69 |........5.\...Fi| -000002b0 91 b3 68 2c 0a 53 8d d0 35 5e b1 07 ba 65 75 fb |..h,.S..5^...eu.| -000002c0 25 8f f9 33 3b 5b 0a 6e 66 e7 2e b7 48 73 a0 23 |%..3;[.nf...Hs.#| -000002d0 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -000002e0 00 00 00 00 00 00 00 00 00 00 00 64 0b 2b c4 72 |...........d.+.r| -000002f0 01 36 0c 78 1f bc 60 23 64 c7 1e e4 83 c3 e3 02 |.6.x..`#d.......| -00000300 1a 95 26 ba b4 0d f2 8d 87 0d 94 37 6f 59 92 9d |..&........7oY..| -00000310 ab 57 07 83 54 c7 5f 27 43 e6 a5 |.W..T._'C..| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 93 0f 00 |...._X.;t.......| +00000240 00 8f 04 03 00 8b 30 81 88 02 42 00 ba 5e 22 92 |......0...B..^".| +00000250 16 6e 86 27 2f 13 45 23 60 8f 08 55 17 00 0b 06 |.n.'/.E#`..U....| +00000260 c1 76 87 d8 12 ac 2c 8b 13 02 da b0 f2 c2 d4 40 |.v....,........@| +00000270 5c cb c5 33 5e cf 37 04 b2 00 ff 0c d6 38 1c 2a |\..3^.7......8.*| +00000280 05 8a 66 e8 df 48 42 d2 9b 4f 70 68 ca 02 42 01 |..f..HB..Oph..B.| +00000290 a2 f6 a4 f5 55 53 ab 8f 8b b7 ca 92 8b e3 aa 0b |....US..........| +000002a0 92 13 33 a5 56 c3 54 80 0d 3a b5 66 02 48 15 01 |..3.V.T..:.f.H..| +000002b0 ca ce ff fb 23 ca 58 41 1c 56 d4 34 dd 6f ae 8b |....#.XA.V.4.o..| +000002c0 25 06 80 d1 54 ad 87 94 6f c6 b6 a6 81 1c 71 f1 |%...T...o.....q.| +000002d0 01 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 |...........@....| +000002e0 00 00 00 00 00 00 00 00 00 00 00 00 a0 6b 36 d6 |.............k6.| +000002f0 19 f1 4c eb 4b da 58 43 3c 08 35 c8 70 c0 95 76 |..L.K.XC<.5.p..v| +00000300 69 2a a7 32 8c c3 6a f0 57 1f 5e 0b ee 9d f9 2e |i*.2..j.W.^.....| +00000310 3a 01 f5 09 68 a1 dd a4 b7 32 c3 94 |:...h....2..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 a3 e4 45 86 47 |..........@..E.G| -00000010 fd 31 3f ad 2b 49 41 3a fe 5c 90 cc ff fc d2 e4 |.1?.+IA:.\......| -00000020 16 44 29 2f 44 2d 4a 80 6c 8e a4 1d 56 3e 2d a8 |.D)/D-J.l...V>-.| -00000030 89 e1 29 a3 c6 e3 37 09 26 52 56 d1 d3 46 9b d1 |..)...7.&RV..F..| -00000040 21 fb 89 6a b2 79 83 ab c6 71 db |!..j.y...q.| +00000000 14 03 03 00 01 01 16 03 03 00 40 23 2d a4 40 b0 |..........@#-.@.| +00000010 22 60 06 d1 90 2c 20 99 8f a1 a5 7a db 06 93 a3 |"`..., ....z....| +00000020 bc 30 28 04 e4 db 78 ec ad 40 5b d3 dc 04 52 44 |.0(...x..@[...RD| +00000030 18 b6 9a c4 40 b3 c9 01 fd 5f 3e d7 bc 44 e9 42 |....@...._>..D.B| +00000040 73 9d f3 0c a5 46 07 51 5b 44 24 |s....F.Q[D$| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 85 f5 9d 85 25 8c 9c c3 78 35 5b |.........%...x5[| -00000020 67 f7 1e 3c d9 4c 62 c6 ff c9 da 1f 33 bb de 96 |g..<.Lb.....3...| -00000030 5f 78 e2 e1 87 15 03 03 00 30 00 00 00 00 00 00 |_x.......0......| -00000040 00 00 00 00 00 00 00 00 00 00 a7 12 dd c9 9e 57 |...............W| -00000050 e1 46 ef c8 a3 4e 8a 81 28 44 37 bb 9d db 51 57 |.F...N..(D7...QW| -00000060 75 96 31 d7 4e 9f ac 6b 0f 04 |u.1.N..k..| +00000010 00 00 00 00 00 67 be 0d 62 5f 66 e3 66 f5 99 76 |.....g..b_f.f..v| +00000020 de d5 76 37 cc 63 05 ab 05 08 e2 21 7d 6e 3f e2 |..v7.c.....!}n?.| +00000030 39 fa 7d 82 0e 15 03 03 00 30 00 00 00 00 00 00 |9.}......0......| +00000040 00 00 00 00 00 00 00 00 00 00 96 c7 67 61 4e 91 |............gaN.| +00000050 37 de bb d5 f3 9e e9 d6 ab ce 6e 19 2a dc 5c 9c |7.........n.*.\.| +00000060 8a 93 35 cc a2 11 7c e9 01 d3 |..5...|...| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA index 471ccc8df73..075fa037000 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 fc 38 6e 6d 60 |....Y...U...8nm`| -00000010 6c d1 e4 63 41 85 b2 7e a8 20 8a 77 77 b7 ce f1 |l..cA..~. .ww...| -00000020 88 c5 8c d3 bf fc 59 fc 7d f1 81 20 1b 5b b0 22 |......Y.}.. .[."| -00000030 53 7a 4a 4d 2e b9 b0 11 63 0b cc c6 4f 50 9a 8a |SzJM....c...OP..| -00000040 06 e5 82 f4 a5 a5 7d 6d 9e 3d b1 0b c0 2f 00 00 |......}m.=.../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 78 a3 d4 50 65 |....Y...U..x..Pe| +00000010 da 34 4c 65 87 5e 27 78 b4 92 37 e0 0b 48 9e dc |.4Le.^'x..7..H..| +00000020 e1 69 19 68 98 4e 2c ba 36 54 78 20 b6 5e 16 3d |.i.h.N,.6Tx .^.=| +00000030 f3 43 54 e9 c7 82 19 6a 93 03 37 16 3a 09 24 eb |.CT....j..7.:.$.| +00000040 e1 a9 40 e2 0a 24 a5 0d 15 b8 53 a1 c0 2f 00 00 |..@..$....S../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 1b b4 4e e7 78 bf 86 |........ ..N.x..| -000002d0 d9 79 02 59 1d 6d 7d e2 84 9b 15 ef b6 da 36 f6 |.y.Y.m}.......6.| -000002e0 52 0c fa 49 b2 bd b8 4f 57 08 04 00 80 d1 1d 5c |R..I...OW......\| -000002f0 9a 32 10 25 e1 19 5b 78 d3 d4 17 60 21 85 45 8d |.2.%..[x...`!.E.| -00000300 73 b1 cd e4 e3 b5 b8 61 90 41 fe a3 f3 90 82 1a |s......a.A......| -00000310 12 ee ef 30 00 da f8 17 26 8e 6c ca 61 a9 9f 06 |...0....&.l.a...| -00000320 6d 01 7e a8 ba 5a 3c 71 2d 29 5d 79 67 53 e6 59 |m.~..Z....F.Q.| +00000300 de ff fa 58 44 1b 35 ae 9a 5a 57 fb 95 a0 a8 23 |...XD.5..ZW....#| +00000310 b7 33 ab 7e 86 ae 27 19 1f 89 4e c3 95 bd f7 9f |.3.~..'...N.....| +00000320 6b 7b 3b b6 9b a8 99 0d 52 68 0b 89 5f fc ae 70 |k{;.....Rh.._..p| +00000330 93 97 ab 7f d6 eb 1c f9 e2 88 d2 f3 de fd c3 a7 |................| +00000340 30 a1 ba 2e bc 86 14 8f 92 cb b1 8b 7e 9b 5a c1 |0...........~.Z.| +00000350 9b 02 8c 90 a3 08 d2 97 da 64 81 5a d7 51 85 97 |.........d.Z.Q..| +00000360 62 8e e2 7a ca 3f fd 4e 30 d4 17 87 a5 16 03 03 |b..z.?.N0.......| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,28 +113,28 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 93 0f 00 |...._X.;t.......| -00000240 00 8f 04 03 00 8b 30 81 88 02 42 01 62 8c aa 1c |......0...B.b...| -00000250 23 f2 57 2c 6d 2e 24 f8 13 e8 c1 07 4a f9 3b 49 |#.W,m.$.....J.;I| -00000260 02 9e 6c 31 dd c3 a4 5a 8b 2b 73 8d b7 42 1e aa |..l1...Z.+s..B..| -00000270 96 4a 52 84 b6 0c ac 59 e1 ad 1a 3e 3b f8 c7 5a |.JR....Y...>;..Z| -00000280 9d 03 c9 bd 48 be 1a 92 17 75 34 a4 d8 02 42 01 |....H....u4...B.| -00000290 c0 d8 a8 15 f0 e6 90 86 77 76 f3 36 ec 2d e9 ca |........wv.6.-..| -000002a0 43 0c 8b 28 9f 74 b5 42 8a c8 57 6e 22 bc 66 77 |C..(.t.B..Wn".fw| -000002b0 7a cd 17 c6 97 91 9f 04 12 38 39 db dc 06 05 b8 |z........89.....| -000002c0 5e 82 cf 52 b2 9b 3e 74 ea 01 0b 61 27 20 ec 64 |^..R..>t...a' .d| -000002d0 94 14 03 03 00 01 01 16 03 03 00 28 00 00 00 00 |...........(....| -000002e0 00 00 00 00 94 1b f1 02 db 2a e7 76 d0 3e 0d 2f |.........*.v.>./| -000002f0 b9 d1 e7 28 48 b8 85 89 0b 11 8b 1c be 06 2c 68 |...(H.........,h| -00000300 e5 93 1d cd |....| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 92 0f 00 |...._X.;t.......| +00000240 00 8e 04 03 00 8a 30 81 87 02 42 00 b1 62 9d 4e |......0...B..b.N| +00000250 30 ee fb 3c ee 41 d4 da 92 83 bd 6a de 55 1c 31 |0..<.A.....j.U.1| +00000260 d9 5c f1 1a 22 f5 98 f9 73 8e f0 a1 65 a3 2c 93 |.\.."...s...e.,.| +00000270 34 ee c4 3f 7b 9e 8d 33 2a 46 c4 ab 41 31 fb dd |4..?{..3*F..A1..| +00000280 fc a8 be 2d 74 6d 50 d3 d6 87 0c 54 92 02 41 19 |...-tmP....T..A.| +00000290 f7 6b a7 64 12 17 79 ec 12 d2 f9 9d 75 cc 27 45 |.k.d..y.....u.'E| +000002a0 ff 3e a1 6e 57 4a f8 09 e3 03 97 2a b1 6e 07 ed |.>.nWJ.....*.n..| +000002b0 e0 ce ca 7e ec ad c5 80 3d f4 47 49 0f 50 5b 73 |...~....=.GI.P[s| +000002c0 03 85 3b 71 f7 ed 71 14 15 ef c3 71 c4 a1 8a 1b |..;q..q....q....| +000002d0 14 03 03 00 01 01 16 03 03 00 28 00 00 00 00 00 |..........(.....| +000002e0 00 00 00 fa 35 6c a2 dc b5 4d 07 7f c7 81 63 a1 |....5l...M....c.| +000002f0 b6 89 34 83 2c 01 66 96 0d 75 00 0f 8f c4 94 94 |..4.,.f..u......| +00000300 d5 6f bf |.o.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 5e d2 c7 60 0c |..........(^..`.| -00000010 03 e9 46 22 86 85 05 0e 23 c4 1d 1a 56 05 dc a6 |..F"....#...V...| -00000020 59 e7 a5 e8 da 5d 67 31 a9 5b 95 74 51 57 fc c7 |Y....]g1.[.tQW..| -00000030 db 67 d7 |.g.| +00000000 14 03 03 00 01 01 16 03 03 00 28 45 00 23 a5 1a |..........(E.#..| +00000010 84 b9 c0 4c f7 8d 3c b4 b1 79 ad 26 5f 03 af af |...L..<..y.&_...| +00000020 57 44 72 c1 fa cc 7e 59 18 96 75 20 5f b1 ed f3 |WDr...~Y..u _...| +00000030 98 dc 7f |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 14 0b d7 |................| -00000010 1d 14 58 ec ac 4c 4e 03 96 41 74 f1 6f f3 6d fc |..X..LN..At.o.m.| -00000020 4a dc 8c 15 03 03 00 1a 00 00 00 00 00 00 00 02 |J...............| -00000030 a6 5f ee e7 ca a2 1a 1c 4a ff 98 f8 6f ab a3 26 |._......J...o..&| -00000040 1a 31 |.1| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 f4 9c 0e |................| +00000010 c6 84 66 27 29 34 67 14 e1 d1 94 ea 2b 26 45 44 |..f')4g.....+&ED| +00000020 26 b3 9d 15 03 03 00 1a 00 00 00 00 00 00 00 02 |&...............| +00000030 31 05 fd e1 5f 96 19 d9 c7 92 48 84 3b 7e 80 f9 |1..._.....H.;~..| +00000040 83 c5 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 index 9ce7882b5dc..4c090c35c08 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 9d 86 5c 5c bf |....Y...U....\\.| -00000010 18 e3 24 a2 8e 6c 84 fe 72 c5 69 d2 be 89 63 5e |..$..l..r.i...c^| -00000020 5f 4b 31 a0 0a ca 1d 31 4a 58 7c 20 fc 4b c6 8c |_K1....1JX| .K..| -00000030 15 63 ff 70 fd 3f ce c1 2c 08 e4 c8 17 ca c9 9e |.c.p.?..,.......| -00000040 99 9a cb d7 84 8b 82 da a9 71 6c f8 cc a8 00 00 |.........ql.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 fb cc 46 cd 3b |....Y...U....F.;| +00000010 74 d3 6d d1 9a a4 58 30 71 ae 6e 19 70 1e 13 ce |t.m...X0q.n.p...| +00000020 00 b8 05 f0 21 4f 98 c6 c6 e8 d9 20 49 b2 43 a1 |....!O..... I.C.| +00000030 7a 50 d0 00 69 55 47 3c c3 21 7e 8a f9 d2 55 b4 |zP..iUG<.!~...U.| +00000040 50 51 02 c9 f8 28 80 27 db 74 f1 05 cc a8 00 00 |PQ...(.'.t......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 77 92 bf 45 16 f2 23 |........ w..E..#| -000002d0 32 37 d5 1d 91 be 28 bf 94 64 09 c5 0b 32 f5 65 |27....(..d...2.e| -000002e0 da 4b ec 48 3b 72 77 65 70 08 04 00 80 c9 7f 49 |.K.H;rwep......I| -000002f0 25 d1 1b 8b 7a 23 47 62 28 10 e2 b0 2f 8e 8a 5f |%...z#Gb(.../.._| -00000300 e1 51 4a 6e 2c 9d d7 cc 00 e2 7a 17 fd ab b3 d7 |.QJn,.....z.....| -00000310 19 6b 53 75 a0 08 a1 7d f7 ae 15 cd a6 a6 ce 5f |.kSu...}......._| -00000320 29 3b 45 96 f4 7f 4f a8 30 0c e8 87 98 9b 1d 15 |);E...O.0.......| -00000330 a5 a3 f3 b3 5f 5c 3a 1c 6e 4d f9 92 f5 5e fc b7 |...._\:.nM...^..| -00000340 5d 7d 34 29 f4 1d 2c 4c 8a 34 dd 19 60 07 2b c0 |]}4)..,L.4..`.+.| -00000350 a4 2b ef 1b 1e a8 68 b6 90 16 6e ce 9a 6b 01 28 |.+....h...n..k.(| -00000360 aa e3 d7 ad d8 68 b7 c7 f0 b0 93 dd 36 16 03 03 |.....h......6...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 b4 ed d4 de 33 c5 d1 |........ ....3..| +000002d0 10 70 21 0a c5 42 95 04 2f d6 f4 15 8d 19 10 f7 |.p!..B../.......| +000002e0 f8 fa f3 1d 71 05 96 b4 65 08 04 00 80 32 76 7e |....q...e....2v~| +000002f0 1c dc 0a d9 f2 71 bb 9c 07 1c c4 33 fe 20 b4 b5 |.....q.....3. ..| +00000300 b1 38 9a 91 91 43 97 0f 94 1e bf a6 a5 de 09 12 |.8...C..........| +00000310 bd ab 9e 3f de 40 0f 3d 1a fd f3 b9 0a 7c 00 f6 |...?.@.=.....|..| +00000320 68 6b 7a 45 66 ad 79 f1 18 bf 49 da 40 7a ab c0 |hkzEf.y...I.@z..| +00000330 9d 93 94 33 e9 d4 de 3d 9d 74 0f c4 56 c8 d5 d6 |...3...=.t..V...| +00000340 88 4a d9 27 22 79 62 7a 30 76 b3 da a2 da 42 d5 |.J.'"ybz0v....B.| +00000350 d6 e7 23 90 13 a9 d4 ed 50 4e 6e 10 c0 90 aa a6 |..#.....PNn.....| +00000360 ae 38 e6 23 84 53 af d6 b9 31 ac b2 6f 16 03 03 |.8.#.S...1..o...| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -101,20 +101,20 @@ 00000140 08 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 |.....%...! /.}.G| 00000150 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| 00000160 c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 48 |......_X.;t....H| -00000170 0f 00 00 44 08 07 00 40 64 2b 4c 9d 35 fc 5c 0d |...D...@d+L.5.\.| -00000180 b8 c7 48 91 ea f2 2b e6 f6 0d e5 d1 1f c4 32 eb |..H...+.......2.| -00000190 92 1c a9 a9 d7 1e 29 ae ea cf bd 74 e4 f8 6f c3 |......)....t..o.| -000001a0 87 b6 f6 96 e3 7c 45 aa bc a0 6c 72 d5 3c 00 0b |.....|E...lr.<..| -000001b0 e2 6c 25 2e da dc a3 02 14 03 03 00 01 01 16 03 |.l%.............| -000001c0 03 00 20 ca 8c 5c 4b 5d 5e b8 09 63 ef f4 ad ab |.. ..\K]^..c....| -000001d0 61 c4 d0 16 83 f7 47 78 b9 bd 32 e9 db e0 a2 b0 |a.....Gx..2.....| -000001e0 dd db 5e |..^| +00000170 0f 00 00 44 08 07 00 40 ed 17 75 b3 b9 66 3c 0e |...D...@..u..f<.| +00000180 1b 9b 39 8a e0 00 22 2f fa 47 98 29 12 88 7e 5d |..9..."/.G.)..~]| +00000190 02 c4 91 b2 da 71 18 f7 39 3d 95 ec 76 4b 4e e5 |.....q..9=..vKN.| +000001a0 6a 3d 2b 39 3d 16 4f a2 4c 03 f2 6c 85 24 3d 93 |j=+9=.O.L..l.$=.| +000001b0 95 3b f1 ad e3 6b 37 0d 14 03 03 00 01 01 16 03 |.;...k7.........| +000001c0 03 00 20 e6 36 d5 51 7e 66 c6 cf 6f f9 28 57 3a |.. .6.Q~f..o.(W:| +000001d0 27 20 ce d2 93 b9 6a 6c 7d 8c 26 28 04 ee 18 4d |' ....jl}.&(...M| +000001e0 4d d0 3c |M.<| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 35 7d 87 93 4f |.......... 5}..O| -00000010 a9 76 f7 22 1f 98 a1 f1 8c 9f 02 7b a6 80 f0 e3 |.v.".......{....| -00000020 85 87 bc 72 df cc 5e 60 bd 06 7d |...r..^`..}| +00000000 14 03 03 00 01 01 16 03 03 00 20 9c 27 05 17 d3 |.......... .'...| +00000010 89 9d d1 8d 27 e6 7e 43 15 61 25 a8 68 4d 45 4a |....'.~C.a%.hMEJ| +00000020 6b d6 04 72 6c e3 92 5a 9c af 81 |k..rl..Z...| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 87 0a 07 bf ba 9b 3f c3 77 c4 e7 |...........?.w..| -00000010 1e 56 7e d3 c2 5e e9 76 26 ca cb 15 03 03 00 12 |.V~..^.v&.......| -00000020 ad fc f3 7c aa 2b d5 12 bd 27 98 40 39 bb 0f a2 |...|.+...'.@9...| -00000030 5f b6 |_.| +00000000 17 03 03 00 16 17 cd e7 ec 41 4b 7d 37 ad 8e 0b |.........AK}7...| +00000010 f6 45 84 66 a8 93 b2 b8 df d8 96 15 03 03 00 12 |.E.f............| +00000020 ea 0c 02 60 e2 00 84 fd a9 3c d1 5e c9 f3 2d 8a |...`.....<.^..-.| +00000030 99 f6 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 index 9cfa847a5b3..b6a7c037035 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 da 47 f6 56 22 |....Y...U...G.V"| -00000010 34 ab 21 fe 74 4a 47 31 07 0e 12 5a ed 8f 7f dc |4.!.tJG1...Z....| -00000020 fe 66 a5 6d b1 89 64 42 58 09 43 20 5f 66 56 e4 |.f.m..dBX.C _fV.| -00000030 20 7f f9 c7 a1 9d cf a5 c7 2b 01 13 a6 9a 9f ec | ........+......| -00000040 6a 25 db 09 74 aa c2 a6 17 65 c9 fb c0 30 00 00 |j%..t....e...0..| +00000000 16 03 03 00 59 02 00 00 55 03 03 f7 2a 9e de 7d |....Y...U...*..}| +00000010 68 fd 55 6c 71 58 b4 6c 93 65 04 a1 f4 75 20 2d |h.UlqX.l.e...u -| +00000020 2c 6f af 23 ee 32 39 a6 89 2f 34 20 23 01 d2 40 |,o.#.29../4 #..@| +00000030 fd 33 12 13 17 aa 70 e2 55 01 ff 65 12 29 3e 36 |.3....p.U..e.)>6| +00000040 73 2f cb 10 2a 7f 0b 61 70 e9 b4 17 c0 30 00 00 |s/..*..ap....0..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 05 08 bc 2a 15 84 52 |........ ...*..R| -000002d0 4e 4e 6c fb e4 d4 d2 b5 71 f6 64 88 ed 49 67 3b |NNl.....q.d..Ig;| -000002e0 db 05 fe 03 83 4f 4d da 27 08 04 00 80 02 ef c0 |.....OM.'.......| -000002f0 0d a2 4d c4 2e c3 ed 7b e7 df 4d a7 f8 48 0d 23 |..M....{..M..H.#| -00000300 1f c0 c3 c6 be cc c2 31 be 27 d5 51 d0 63 96 d4 |.......1.'.Q.c..| -00000310 cd b9 63 cd ae 4a 2f 75 fe ab 4e 7b 26 e0 28 d7 |..c..J/u..N{&.(.| -00000320 0a 6b ab 60 f6 d0 3d b2 4c 9a e6 a1 04 3f e1 6f |.k.`..=.L....?.o| -00000330 6f 61 e5 21 82 a5 ca c7 d3 d9 1f de 71 68 02 38 |oa.!........qh.8| -00000340 dc cd b4 fc d9 f2 42 f3 0e 72 dc a2 3a 0d 9f a5 |......B..r..:...| -00000350 bb f8 3c fa bc 6e 0a 26 93 7d cf 3a 09 b8 74 45 |..<..n.&.}.:..tE| -00000360 44 5a bf c3 55 29 6a 35 8b 6e d5 6c fc 16 03 03 |DZ..U)j5.n.l....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 ab ac d5 7f 8f 7e ce |........ .....~.| +000002d0 a4 a0 08 13 2b 30 9f b7 39 c8 6c f0 ca 52 49 d3 |....+0..9.l..RI.| +000002e0 d5 87 47 48 1c c4 b2 b7 08 08 04 00 80 bd 89 71 |..GH...........q| +000002f0 f3 d1 2d e4 98 b8 3c f6 f0 98 ff eb 9b 8c 7c 07 |..-...<.......|.| +00000300 96 3d 04 3f f8 44 05 de 75 97 79 82 cf ab 9d c9 |.=.?.D..u.y.....| +00000310 14 bb 4d f0 9a 4c 72 a2 c3 da 6c dc 69 88 3d 2a |..M..Lr...l.i.=*| +00000320 c3 13 85 7d cd 30 c3 c4 94 f6 6e ca 5a 96 9f 28 |...}.0....n.Z..(| +00000330 0d cf be c2 fa 50 1c 2e 9e 28 e7 b5 48 e7 73 8c |.....P...(..H.s.| +00000340 5e bd 3a ac 06 5e be 9d ce fb 14 e2 9d 51 63 9c |^.:..^.......Qc.| +00000350 65 68 26 d6 0a a9 b5 21 6d fb 2b 76 d5 24 5f 47 |eh&....!m.+v.$_G| +00000360 c4 9e e9 27 2d 89 9e c1 44 2f 0f 6a 2e 16 03 03 |...'-...D/.j....| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 34 9b 6f 9d dc a0 fd |.........4.o....| -00000240 73 ff b4 00 a5 20 5e a0 86 fd 43 fa 1b a0 ab 4c |s.... ^...C....L| -00000250 46 93 fe 27 17 ca 90 16 c3 52 cc 26 19 57 9c 11 |F..'.....R.&.W..| -00000260 6c d1 24 c6 da 43 08 ee 92 cf fe b5 c3 f9 75 ee |l.$..C........u.| -00000270 f5 d9 97 ef 2d e9 d7 cb 3b bc 1f 39 6e 4e 64 6e |....-...;..9nNdn| -00000280 82 24 c6 c2 85 da 9f e7 6d 7d 8a 78 dc 49 04 51 |.$......m}.x.I.Q| -00000290 ac e5 5c 49 67 0b e3 4c f0 78 9b 6c b1 85 6e 00 |..\Ig..L.x.l..n.| -000002a0 2a f2 6c b9 45 f9 0a f6 7c ba 3a 5c 3d 2d 11 2c |*.l.E...|.:\=-.,| -000002b0 ff 33 37 60 78 67 cc 74 7b 14 03 03 00 01 01 16 |.37`xg.t{.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 f9 7f ac 25 |...(...........%| -000002d0 80 ef 1b 0f ef fa 5e cc 35 b7 c6 3a fa a1 d8 c3 |......^.5..:....| -000002e0 b5 8f 50 0d ef ed 24 6e d5 b2 d7 a8 |..P...$n....| +00000230 88 0f 00 00 84 08 04 00 80 b2 e3 64 c8 2c 06 97 |...........d.,..| +00000240 7d 7c bb cb f1 67 ac 45 0a 31 a7 78 60 eb e3 2f |}|...g.E.1.x`../| +00000250 88 50 a7 86 10 df ee f0 3b c0 a8 fa df c1 9e 4b |.P......;......K| +00000260 7c e8 b5 e2 e3 fc c8 6e 29 9d 31 65 68 6b b7 d1 ||......n).1ehk..| +00000270 02 4b 81 38 4b b3 d8 e8 33 b5 46 9c c7 44 a1 63 |.K.8K...3.F..D.c| +00000280 81 b7 ee 1b 3f 59 f5 2c 47 92 19 b7 99 e9 9f 62 |....?Y.,G......b| +00000290 bd b0 cf dd 19 c9 03 00 23 3f 4b da d1 7e c3 3f |........#?K..~.?| +000002a0 0c 40 43 a0 f6 28 66 e8 e5 27 74 5f 83 3a 0f f7 |.@C..(f..'t_.:..| +000002b0 21 d8 5a 03 9d 28 2f 7d 32 14 03 03 00 01 01 16 |!.Z..(/}2.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 a4 73 15 83 |...(.........s..| +000002d0 8a ab 71 78 ba f3 5a c2 08 c9 90 dd a5 ee 05 11 |..qx..Z.........| +000002e0 45 f9 8d 7a 18 07 f7 3c 9d e7 ba b0 |E..z...<....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 2b 72 fe b1 b8 |..........(+r...| -00000010 f6 fb 4c ef 68 c5 4d ff ad 53 99 5a 69 aa cf 0f |..L.h.M..S.Zi...| -00000020 b0 18 55 d0 be 96 66 06 c2 ac f4 d0 27 64 77 08 |..U...f.....'dw.| -00000030 e3 aa 1b |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 39 e7 0c 54 a8 |..........(9..T.| +00000010 29 8a c6 5d ed 5c aa 2d a9 b5 f5 9a 84 63 a0 e5 |)..].\.-.....c..| +00000020 51 2d d4 85 a6 19 0e 7d 3e d0 9b d1 09 1f bb 68 |Q-.....}>......h| +00000030 c3 38 86 |.8.| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 93 2a 5d |..............*]| -00000010 97 82 a2 0f 99 e8 c3 7f 26 e5 25 52 d5 78 da c2 |........&.%R.x..| -00000020 78 a0 96 15 03 03 00 1a 00 00 00 00 00 00 00 02 |x...............| -00000030 a2 44 f9 e5 c2 78 12 f3 00 16 60 ff 0d 5c 72 9f |.D...x....`..\r.| -00000040 fa 7b |.{| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 f3 24 eb |..............$.| +00000010 4a 2c fa 45 fc 8f 23 20 1e a7 99 3d fc fe 73 82 |J,.E..# ...=..s.| +00000020 80 6e 2a 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.n*.............| +00000030 c8 af f9 b3 27 ef fa 27 66 82 f3 1d 32 11 c3 9e |....'..'f...2...| +00000040 10 e7 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA index 0a33c71faf4..7d311733bca 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 88 07 0f 5d 50 |....Y...U.....]P| -00000010 1a 58 78 08 cf a9 e4 bb d1 32 f1 b3 38 c8 e9 b9 |.Xx......2..8...| -00000020 f9 d3 11 8e 53 d0 56 c8 83 a5 9e 20 1c 0d c5 31 |....S.V.... ...1| -00000030 0b 8a df ab e6 89 e7 52 f4 6c f3 f7 fa ef a2 e7 |.......R.l......| -00000040 04 80 f8 1d b9 d6 2f 06 cd 7d 86 e3 c0 09 00 00 |....../..}......| +00000000 16 03 03 00 59 02 00 00 55 03 03 fa 65 0c 99 e4 |....Y...U...e...| +00000010 0c 23 39 c4 56 0c 4d 3b 5a 51 fd 9b 58 d5 bf 40 |.#9.V.M;ZQ..X..@| +00000020 95 56 42 41 69 58 9b 19 84 43 2d 20 45 8d da 3b |.VBAiX...C- E..;| +00000030 f1 05 fd 04 96 66 5c d0 7a 67 91 20 a8 e6 46 78 |.....f\.zg. ..Fx| +00000040 c4 39 3c 89 bb 32 49 73 50 61 e4 36 c0 09 00 00 |.9<..2IsPa.6....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 38 a6 |*............ 8.| -00000280 2a fa e9 29 a1 36 b0 81 ec 6d d9 e9 aa de 10 13 |*..).6...m......| -00000290 9b f0 b2 00 da 2a 50 32 98 42 01 f1 c9 2e 04 03 |.....*P2.B......| -000002a0 00 89 30 81 86 02 41 29 d6 69 3d 7b 14 a6 a6 80 |..0...A).i={....| -000002b0 99 04 29 c5 0c 0b 08 a7 de 7c ba 40 1a 95 08 e9 |..)......|.@....| -000002c0 b6 45 dc 42 f8 db 36 79 39 9d 41 80 e6 3e ec a5 |.E.B..6y9.A..>..| -000002d0 89 03 0c 50 ef 8b 19 6a 18 f0 b1 ba b0 98 a2 09 |...P...j........| -000002e0 f5 e6 7c d1 c1 bf 2c cf 02 41 6c ad c2 13 26 a9 |..|...,..Al...&.| -000002f0 5e 05 26 2b c2 08 a0 bb 58 bc 58 a1 6b e9 1c 45 |^.&+....X.X.k..E| -00000300 1a da 94 46 13 36 95 cc 45 47 09 1a 46 45 03 86 |...F.6..EG..FE..| -00000310 34 5d d8 89 7f f2 7b 5a 1e 14 0f 39 b2 96 36 7d |4]....{Z...9..6}| -00000320 91 0e b1 13 77 d0 91 35 f1 5d 23 16 03 03 00 3a |....w..5.]#....:| +00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 88 9d |*............ ..| +00000280 56 e1 8c ef 99 72 de 97 ea 91 d3 28 36 15 1e d8 |V....r.....(6...| +00000290 43 89 ef a3 8f 9e a1 71 da ce 86 62 cc 2e 04 03 |C......q...b....| +000002a0 00 89 30 81 86 02 41 15 f9 ef 1e 51 49 6e c4 30 |..0...A....QIn.0| +000002b0 b5 a1 2d 8a d2 6c 64 b0 b0 b0 a5 75 2b fb 26 4c |..-..ld....u+.&L| +000002c0 9a 60 27 4e 05 fc 5e 16 d6 05 fc e9 e5 e5 c4 56 |.`'N..^........V| +000002d0 e9 67 d1 3d 1e ff 3e 05 07 32 5b 3b 69 cd 2d 76 |.g.=..>..2[;i.-v| +000002e0 21 31 43 53 50 d2 09 0f 02 41 01 b2 45 94 99 59 |!1CSP....A..E..Y| +000002f0 13 d6 48 1b 63 c3 dd 05 1f e8 16 4e 0b f1 2a 2e |..H.c......N..*.| +00000300 b6 6c b0 df 53 71 77 46 24 23 3d dc db 06 79 e9 |.l..SqwF$#=...y.| +00000310 13 81 11 e4 1a 89 81 c8 71 cd 51 3f 57 b1 d0 5b |........q.Q?W..[| +00000320 e7 bd 3e b1 6e 80 0e e4 11 ea e5 16 03 03 00 3a |..>.n..........:| 00000330 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 06 03 |...6...@........| 00000340 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 08 06 |................| 00000350 04 01 05 01 06 01 03 03 02 03 03 01 02 01 03 02 |................| @@ -109,31 +109,31 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 b2 ee 78 9c d5 ff 48 |...........x...H| -00000240 c2 70 54 c1 b0 40 2b cf 39 f7 83 46 c5 7a 2e 05 |.pT..@+.9..F.z..| -00000250 a8 d8 fd f2 8e de 7e 7b 9a 6d 4a 53 3b 5d c6 88 |......~{.mJS;]..| -00000260 e1 74 79 ac 06 17 95 35 05 94 90 66 77 57 7f cd |.ty....5...fwW..| -00000270 dc 3a 97 ef 61 f4 ce ad c2 e4 24 a8 c4 d8 0c 7e |.:..a.....$....~| -00000280 58 2e cd b8 98 d7 c5 24 24 f1 cb 2c bd c3 79 bb |X......$$..,..y.| -00000290 b5 58 39 61 31 5f c1 f7 6d 0e 28 cb c3 97 21 11 |.X9a1_..m.(...!.| -000002a0 25 27 0c 4a 9f 3c d3 c2 89 5f 3b f6 54 26 ad 7e |%'.J.<..._;.T&.~| -000002b0 c2 91 fb ef 99 8e 6f 93 6c 14 03 03 00 01 01 16 |......o.l.......| +00000230 88 0f 00 00 84 08 04 00 80 a4 51 a5 95 f6 bd c2 |..........Q.....| +00000240 fa 0f c2 db 0b 3b 30 6c 2a b0 9c a2 9b d3 e4 cb |.....;0l*.......| +00000250 e0 30 13 30 cb 6b 0f b6 3f a4 a4 c4 72 83 8f 13 |.0.0.k..?...r...| +00000260 8f 9d 42 ec ff 9c e2 d8 b1 97 98 52 0b 8c 92 77 |..B........R...w| +00000270 ef 74 11 52 58 ef 93 1e e8 eb dd 08 b7 d6 32 e8 |.t.RX.........2.| +00000280 e8 39 49 b0 57 15 4b f7 4b 4a 35 14 d3 4d a3 e8 |.9I.W.K.KJ5..M..| +00000290 26 db 76 4f 1d 74 b1 32 d7 dc b1 50 e6 d7 65 c1 |&.vO.t.2...P..e.| +000002a0 5d 5e 31 af 33 96 9d a1 af ab f2 20 d6 96 e6 b8 |]^1.3...... ....| +000002b0 33 82 ad e8 10 61 79 82 5d 14 03 03 00 01 01 16 |3....ay.].......| 000002c0 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 00 |...@............| -000002d0 00 00 00 00 8a bd 68 39 c9 b0 fe 88 05 9d 09 ad |......h9........| -000002e0 f2 72 b3 1c d3 e6 5d 19 89 f1 3c bb 57 9a f2 d5 |.r....]...<.W...| -000002f0 16 39 52 46 36 2c 3d 51 54 a7 83 ea 69 37 38 f8 |.9RF6,=QT...i78.| -00000300 6a 8a cd 60 |j..`| +000002d0 00 00 00 00 18 5f 22 bb 66 7d 5d 88 02 64 2c ca |....._".f}]..d,.| +000002e0 f5 db 73 9b cc 09 f7 40 01 33 56 a5 b8 fe cf 19 |..s....@.3V.....| +000002f0 05 05 21 95 60 a4 13 98 e6 50 56 48 e8 af ae 3e |..!.`....PVH...>| +00000300 3f 65 18 91 |?e..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 0e 03 b8 a0 1e |..........@.....| -00000010 2a 93 c9 2e b0 f3 0a 56 02 36 e5 a9 ca 74 93 e3 |*......V.6...t..| -00000020 3a 56 e8 d2 b3 e0 c6 3d 75 76 f9 c7 f7 0f a7 d1 |:V.....=uv......| -00000030 48 09 e0 b4 b6 aa f6 93 67 ed 67 e8 10 26 f7 38 |H.......g.g..&.8| -00000040 65 f8 e0 d3 1d 30 0e af 54 8b 51 |e....0..T.Q| +00000000 14 03 03 00 01 01 16 03 03 00 40 08 9b ad f7 9e |..........@.....| +00000010 ca fe e2 47 e6 39 14 10 13 b4 56 c1 74 e9 2a 18 |...G.9....V.t.*.| +00000020 da 4e 59 d5 d6 12 74 53 f5 1e 6c 22 69 8c e7 03 |.NY...tS..l"i...| +00000030 54 80 2c 92 fd 77 62 a3 83 b6 ef ec ee 14 c8 aa |T.,..wb.........| +00000040 a0 ec f2 b9 74 f3 99 24 c6 a2 04 |....t..$...| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 0f 0d f8 ae 6c e0 c8 7d 00 63 2f |.........l..}.c/| -00000020 38 a5 bb 63 d6 a2 70 a8 92 93 7b 9b ea e7 f8 d0 |8..c..p...{.....| -00000030 a7 69 ab c3 65 15 03 03 00 30 00 00 00 00 00 00 |.i..e....0......| -00000040 00 00 00 00 00 00 00 00 00 00 11 54 4a 9f d7 3d |...........TJ..=| -00000050 1a 98 19 5e a4 d3 f5 e3 6a 52 93 db 9f b5 8d 21 |...^....jR.....!| -00000060 1c b4 a8 b7 78 45 33 9d a4 1c |....xE3...| +00000010 00 00 00 00 00 3b ec fa d0 40 88 58 02 dd 02 c8 |.....;...@.X....| +00000020 b7 72 da 59 4e f2 52 50 3e f6 9b 10 04 07 40 b1 |.r.YN.RP>.....@.| +00000030 a8 20 69 19 af 15 03 03 00 30 00 00 00 00 00 00 |. i......0......| +00000040 00 00 00 00 00 00 00 00 00 00 a3 15 6e 62 3e c0 |............nb>.| +00000050 1a 9e 02 e3 b1 3b d1 14 43 47 8b f2 59 aa 8e dc |.....;..CG..Y...| +00000060 36 f4 a3 7c 28 c3 1b 6c 62 cc |6..|(..lb.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA index 80558258f9f..83c71609f6e 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 c6 0c 82 72 66 |....Y...U.....rf| -00000010 11 c1 5d 0c 43 86 19 58 b6 73 ba a9 99 4a b1 bd |..].C..X.s...J..| -00000020 3c 03 c8 d4 20 99 41 01 59 39 3d 20 4e e6 7c 25 |<... .A.Y9= N.|%| -00000030 6d bb 7a 5b 48 46 41 12 fb 9e ac 0f be 8f 44 5b |m.z[HFA.......D[| -00000040 86 85 00 6b d6 9b b5 d8 78 47 f1 73 c0 2f 00 00 |...k....xG.s./..| +00000000 16 03 03 00 59 02 00 00 55 03 03 b8 f9 07 f6 69 |....Y...U......i| +00000010 4f 62 10 8d e0 fa 1b 29 85 b8 45 51 94 5d f3 58 |Ob.....)..EQ.].X| +00000020 7f 92 49 80 e6 f2 cb ff e0 9a 4a 20 59 22 ff 38 |..I.......J Y".8| +00000030 7b 65 50 10 a0 a5 7c cb 66 eb 70 49 f0 b9 55 aa |{eP...|.f.pI..U.| +00000040 4c da b0 d0 af 0d 95 52 54 46 15 f0 c0 2f 00 00 |L......RTF.../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 fc 55 11 76 e3 a5 bf |........ .U.v...| -000002d0 c0 35 33 3b e4 a2 bd b2 11 19 7e 80 7b 0a ed 81 |.53;......~.{...| -000002e0 4c 5a c6 90 b1 5f 69 9d 35 08 04 00 80 34 25 56 |LZ..._i.5....4%V| -000002f0 47 fd ec 63 95 d2 c4 b5 60 0d 9b 5c 9b 14 f8 19 |G..c....`..\....| -00000300 25 d7 c7 5a 24 68 06 38 d6 c1 fa a6 dc 6f 28 6c |%..Z$h.8.....o(l| -00000310 d4 35 89 0c 8b bf ec 03 32 10 7b 8e 3d 29 06 d3 |.5......2.{.=)..| -00000320 54 4e 98 de c5 da 01 c3 b3 ec b2 68 42 04 87 47 |TN.........hB..G| -00000330 4b 7f ad 84 da 0f 60 68 f3 e6 9b 10 46 db 74 37 |K.....`h....F.t7| -00000340 bb d1 9b ac 14 21 22 9e b2 27 64 98 e3 14 05 48 |.....!"..'d....H| -00000350 e2 5a 19 22 1f 13 a7 81 42 d7 60 c1 72 46 1a 06 |.Z."....B.`.rF..| -00000360 1a 94 a0 b2 0d 97 42 94 ef 85 b1 66 00 16 03 03 |......B....f....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 cd 52 34 ad 53 3a 3e |........ .R4.S:>| +000002d0 35 b0 a3 a2 35 f3 34 8e a0 ca 1c f1 ce 5f 0d 48 |5...5.4......_.H| +000002e0 61 b9 2f 99 ae 2e eb a6 34 08 04 00 80 b7 d6 1c |a./.....4.......| +000002f0 bd 0e 0b ae 32 4b 8a ec c9 c7 d7 24 10 62 24 76 |....2K.....$.b$v| +00000300 5e 52 62 71 58 fe 51 b4 57 26 ce 20 13 6d 60 db |^RbqX.Q.W&. .m`.| +00000310 55 77 99 06 88 bb 4b 13 7d 19 91 12 51 fe 43 d3 |Uw....K.}...Q.C.| +00000320 d1 ce 03 19 06 50 c4 a0 fa fc 6f ac 54 0d 92 b7 |.....P....o.T...| +00000330 43 2b 01 be 0a a2 b7 85 a2 02 01 35 c1 f2 52 71 |C+.........5..Rq| +00000340 48 e4 20 68 ea cb a5 9d ce e5 6b 22 7e 7e 2c 69 |H. h......k"~~,i| +00000350 38 7d 61 70 0d 88 53 41 bb 66 b8 3e b7 ef d1 ff |8}ap..SA.f.>....| +00000360 24 17 b6 15 c4 42 ec 48 39 aa 40 b6 8a 16 03 03 |$....B.H9.@.....| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 6a 07 33 cd a9 ed 1f |.........j.3....| -00000240 da e7 72 89 c6 48 a0 1f 58 83 42 02 88 aa 7e b6 |..r..H..X.B...~.| -00000250 b5 05 02 ff e0 63 fa 56 ec 7b d8 2b 3b 6e 78 8b |.....c.V.{.+;nx.| -00000260 dc c3 50 5e 0c d0 90 60 04 77 72 8d b7 38 72 62 |..P^...`.wr..8rb| -00000270 28 f1 3c 5d e5 c2 f7 5e 3d b3 06 4b 74 d4 54 3d |(.<]...^=..Kt.T=| -00000280 00 39 23 86 04 1a 29 0e f5 41 95 9f cb e9 68 6e |.9#...)..A....hn| -00000290 d0 54 77 99 e8 80 5e 36 23 d6 67 b7 ab 96 12 67 |.Tw...^6#.g....g| -000002a0 de 9d 1a f0 d2 46 78 31 59 e2 83 ab 91 9c 22 a1 |.....Fx1Y.....".| -000002b0 82 61 20 46 7e ed b2 e5 7c 14 03 03 00 01 01 16 |.a F~...|.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 28 c3 48 48 |...(........(.HH| -000002d0 25 47 89 19 cd 31 f8 b6 2b 28 00 86 74 a4 6e f4 |%G...1..+(..t.n.| -000002e0 db f2 82 22 a3 c3 2b 77 a6 e1 0d 73 |..."..+w...s| +00000230 88 0f 00 00 84 08 04 00 80 b4 f9 6c 64 3a 36 c3 |...........ld:6.| +00000240 60 04 8a 72 c7 fa 95 27 50 6f 55 35 56 a6 9b 48 |`..r...'PoU5V..H| +00000250 43 53 d6 18 08 f3 9a 94 d2 b8 53 48 08 cc 4a 2c |CS........SH..J,| +00000260 a7 d6 83 41 63 27 ee f6 8f 3a de cf 4e b7 bf 6f |...Ac'...:..N..o| +00000270 11 cd 28 6f 70 6d 2f ff 60 6d 9a 44 fc 68 88 d0 |..(opm/.`m.D.h..| +00000280 ad 74 69 b0 79 7d f8 f4 5e 82 b2 f2 19 20 03 c2 |.ti.y}..^.... ..| +00000290 23 95 a8 e8 fe 5f e9 66 67 01 4f 8e a6 63 5b 04 |#...._.fg.O..c[.| +000002a0 63 b9 ae db 14 e2 9c 9c f0 ad 65 ad 0b f7 80 d4 |c.........e.....| +000002b0 9c c6 2a 91 6f a1 e4 2e 3b 14 03 03 00 01 01 16 |..*.o...;.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 36 aa 8c 28 |...(........6..(| +000002d0 f7 da dd 30 43 8b c6 9b 99 cf e3 af 56 ab f6 6d |...0C.......V..m| +000002e0 34 ac 05 b3 34 c7 88 2b 7f 97 f0 9f |4...4..+....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 16 2b c2 10 b5 |..........(.+...| -00000010 8e 4e 8c dd cc c2 d6 12 bc 91 48 80 1a 61 65 29 |.N........H..ae)| -00000020 24 e3 14 f3 bc c2 ae 47 03 c7 2d 57 16 72 9b 35 |$......G..-W.r.5| -00000030 e8 5e dd |.^.| +00000000 14 03 03 00 01 01 16 03 03 00 28 44 42 21 cb 3d |..........(DB!.=| +00000010 67 78 23 22 e5 5c 86 15 83 e7 b3 f6 5e e6 10 53 |gx#".\......^..S| +00000020 0c b2 ec 10 4d 4e 0a d5 1a 61 53 8e 00 30 11 a1 |....MN...aS..0..| +00000030 9c e8 a0 |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 50 71 ab |.............Pq.| -00000010 dd 09 fc ce 95 a1 75 7d 57 e0 77 5c 78 76 a4 da |......u}W.w\xv..| -00000020 55 f7 65 15 03 03 00 1a 00 00 00 00 00 00 00 02 |U.e.............| -00000030 2d 70 f1 44 04 70 3d 8d c1 08 44 ee 74 d0 70 5e |-p.D.p=...D.t.p^| -00000040 d2 3d |.=| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 b7 ab af |................| +00000010 8e 5b f6 e5 7d d7 7c ee b2 81 9a 8b de 3c f4 ff |.[..}.|......<..| +00000020 a2 3f d0 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.?..............| +00000030 cb ec 80 98 12 a9 6e 95 09 f4 ea 6e e1 f8 2d 73 |......n....n..-s| +00000040 88 40 |.@| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 index 9f2d6b20d08..a3dba79ea06 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 ad 28 be 14 bb |....Y...U...(...| -00000010 f1 5a 63 0d 1d 1b 4a fd 4f 76 92 fa 45 86 9e 7c |.Zc...J.Ov..E..|| -00000020 33 fd 27 cf 8b 0b 87 5d 90 56 d4 20 d1 3f 43 48 |3.'....].V. .?CH| -00000030 57 24 64 41 0e 93 1b 33 b8 58 82 e6 ef 6f 62 58 |W$dA...3.X...obX| -00000040 ff eb 2b 25 8c 85 94 1a 68 bd c5 85 c0 2f 00 00 |..+%....h..../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 9d 98 61 9c 05 |....Y...U....a..| +00000010 78 d8 8c c2 4c 51 9c aa 23 04 c3 7e 6b 93 a8 f2 |x...LQ..#..~k...| +00000020 fc f7 6d 8b 61 4e a4 7a 1a 1a dd 20 d9 3e de a3 |..m.aN.z... .>..| +00000030 4a 50 f9 a4 30 a0 fd df a7 5a 0a f5 0d 32 51 5f |JP..0....Z...2Q_| +00000040 c4 81 09 b4 08 bb 76 5a 8e 6f 62 fa c0 2f 00 00 |......vZ.ob../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 7a 2f 24 21 3d 70 0a |........ z/$!=p.| -000002d0 fa 8e af 04 a5 de 2e 7a 2b ea e7 89 b7 6d 02 5b |.......z+....m.[| -000002e0 22 94 b3 a8 2b dd a2 22 2b 04 01 00 80 7f e0 26 |"...+.."+......&| -000002f0 dd 2d 59 05 0b b6 1f 67 4d eb 09 db 14 66 9e e9 |.-Y....gM....f..| -00000300 95 1e 84 db 96 79 e7 2e c8 e8 96 bc 7b 97 61 3f |.....y......{.a?| -00000310 b3 34 0e 13 0a 5c 60 43 c1 0a df 98 9d 54 55 5b |.4...\`C.....TU[| -00000320 93 1c 20 5f d1 c9 7f 1e d3 4d c9 7a 2d f8 9f 4f |.. _.....M.z-..O| -00000330 d0 a2 25 50 e0 5c ad 06 1a bc 55 da 36 5f e8 5a |..%P.\....U.6_.Z| -00000340 e5 cd fb 6c 0e 78 06 b7 bc df 67 fe 85 f2 62 56 |...l.x....g...bV| -00000350 3f cb d2 21 8e af 3a 87 69 69 94 2a f9 fd 4f 90 |?..!..:.ii.*..O.| -00000360 ce cc 05 72 8a 49 fe 2d d2 16 04 b8 83 16 03 03 |...r.I.-........| +000002c0 ac 0c 00 00 a8 03 00 1d 20 b7 6a 5e 20 7b 14 92 |........ .j^ {..| +000002d0 0a 27 87 81 ed 0a c6 f8 21 48 3d ff 94 db d3 9b |.'......!H=.....| +000002e0 af 1c df 60 bc 5d b6 14 75 04 01 00 80 3c ab 00 |...`.]..u....<..| +000002f0 c1 d9 5c 8b 7d 33 29 90 11 b5 9f 92 0d d9 08 01 |..\.}3).........| +00000300 17 4e 2b 0a f1 28 44 a7 78 19 9a cf 04 07 93 95 |.N+..(D.x.......| +00000310 cf c1 15 94 ac 49 58 83 7e 15 41 b5 63 5f 1f 36 |.....IX.~.A.c_.6| +00000320 dc df fe 77 cd 43 4e f7 e1 c9 0d 6e 3f 61 fd c4 |...w.CN....n?a..| +00000330 b1 b1 e1 e6 dd bc e7 ca 55 24 0d c7 75 bc c2 f6 |........U$..u...| +00000340 96 6a b1 8a 1b cf 2e 23 02 73 cc 4c b8 53 3a ec |.j.....#.s.L.S:.| +00000350 55 41 cd d8 d1 96 57 ce 5a 29 41 aa 29 a9 b1 b4 |UA....W.Z)A.)...| +00000360 37 a8 db 4f e4 c5 db 46 d3 28 5b dc aa 16 03 03 |7..O...F.([.....| 00000370 00 0c 0d 00 00 08 01 01 00 02 04 01 00 00 16 03 |................| 00000380 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) @@ -110,26 +110,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 04 01 00 80 82 93 25 56 68 63 65 |...........%Vhce| -00000240 28 ce bd e9 6a 32 e1 05 b4 3e 37 60 ca 58 b5 3c |(...j2...>7`.X.<| -00000250 9e f3 62 bd d8 ac a8 08 b3 83 21 cc 56 e8 55 db |..b.......!.V.U.| -00000260 3a e2 af e8 7d a1 a5 44 f0 77 e7 52 6f df 62 77 |:...}..D.w.Ro.bw| -00000270 46 a9 64 88 2a 73 a6 05 85 98 fa 76 6f f7 ee 1b |F.d.*s.....vo...| -00000280 20 20 8b 44 dc a2 54 d3 f2 5e 98 b4 38 47 6e d5 | .D..T..^..8Gn.| -00000290 d9 d1 96 8e d2 da 34 3d f5 f7 b3 c0 94 56 c6 13 |......4=.....V..| -000002a0 ba e2 71 c1 d0 0d c0 20 e2 20 c1 33 9d 35 ab e0 |..q.... . .3.5..| -000002b0 63 a8 00 d4 39 cc fa 51 7f 14 03 03 00 01 01 16 |c...9..Q........| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 85 28 6c 5e |...(.........(l^| -000002d0 f2 59 b2 c6 95 f5 83 cc cb 8c fa 05 9a 08 54 bf |.Y............T.| -000002e0 e4 f6 46 43 d4 1d ec ed c1 c9 02 37 |..FC.......7| +00000230 88 0f 00 00 84 04 01 00 80 82 01 df dd 61 c1 d7 |.............a..| +00000240 4c 07 4f c2 52 6b 0f ab 0e 41 ad db 61 63 e1 eb |L.O.Rk...A..ac..| +00000250 d9 80 ee 80 f5 85 5e 0a b8 bd 39 80 68 ca 20 5c |......^...9.h. \| +00000260 33 7f eb 47 41 56 a9 4a 6f 13 4f 87 a7 6d 17 4e |3..GAV.Jo.O..m.N| +00000270 a8 e3 06 8d 9e d2 1e 0b 98 7c 1c 6d ca 6a e2 de |.........|.m.j..| +00000280 c2 97 0d 56 76 2d 66 41 76 81 ee e3 f3 36 f7 92 |...Vv-fAv....6..| +00000290 28 0e cd 7d 99 14 54 4f ca 8e 71 fa 9e 9a b5 82 |(..}..TO..q.....| +000002a0 79 fb ef 54 f0 ef 9b ae 71 e3 31 ef b5 32 9a 40 |y..T....q.1..2.@| +000002b0 a5 53 5e ef 95 1a 2d 94 61 14 03 03 00 01 01 16 |.S^...-.a.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 43 63 15 52 |...(........Cc.R| +000002d0 d7 3d 6d f8 7e 78 d2 ab b0 da 06 04 f7 19 07 1d |.=m.~x..........| +000002e0 6a 9c 7b 9c f5 e2 2a c9 90 f3 db bf |j.{...*.....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 a2 af 00 ba ef |..........(.....| -00000010 04 a2 43 75 0a fb 38 e3 32 07 db 91 c0 df e0 a1 |..Cu..8.2.......| -00000020 2e 3f a4 cf 40 ab 5e ec 0c 1e 0e 7f d7 9a f5 b4 |.?..@.^.........| -00000030 f8 3e c8 |.>.| +00000000 14 03 03 00 01 01 16 03 03 00 28 cc 59 85 af a8 |..........(.Y...| +00000010 6c c7 e1 a4 8a 3e 84 78 bd c3 07 f8 83 ce 0e 21 |l....>.x.......!| +00000020 ab 8b 52 04 ce 8f 27 4e f4 fb 6f 49 89 89 51 0f |..R...'N..oI..Q.| +00000030 8a ae 3b |..;| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 98 1e fa |................| -00000010 46 ab 6f 67 d1 72 4f 91 27 03 94 af f1 8f e1 b1 |F.og.rO.'.......| -00000020 08 38 b5 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.8..............| -00000030 a0 61 50 4a 21 d1 f2 00 fc 2a 23 f9 64 bd 93 2b |.aPJ!....*#.d..+| -00000040 c5 91 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 10 8d 32 |...............2| +00000010 f5 e0 eb 9f 61 e3 51 b0 86 48 1e f7 3d ee 5e 6e |....a.Q..H..=.^n| +00000020 d4 fd 67 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..g.............| +00000030 88 91 86 a2 ff e3 2e be 41 4c 09 fd 32 13 12 af |........AL..2...| +00000040 1c c8 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS index 9a812b3c3ec..9ecff0e15b9 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 5a cc 39 31 f4 |....Y...U..Z.91.| -00000010 a1 eb cf a0 35 10 e8 b3 0e a6 82 47 46 cc 40 d4 |....5......GF.@.| -00000020 0c 76 53 c2 04 b9 99 b6 e7 60 a8 20 20 18 1c f0 |.vS......`. ...| -00000030 be e4 23 b8 83 7a f2 38 ad 91 fd e7 e2 19 40 29 |..#..z.8......@)| -00000040 34 eb 47 43 68 73 45 49 6c 2e cd 62 c0 2f 00 00 |4.GChsEIl..b./..| +00000000 16 03 03 00 59 02 00 00 55 03 03 63 76 88 dc ea |....Y...U..cv...| +00000010 c8 fd b2 05 8b 3d 04 c3 a8 37 08 58 17 94 28 b5 |.....=...7.X..(.| +00000020 21 22 b7 42 6b b9 c5 a6 72 b2 82 20 3a 2c 2a 25 |!".Bk...r.. :,*%| +00000030 f8 77 af ec 94 cf 2e 44 59 f0 5a ec da 8b 4f d1 |.w.....DY.Z...O.| +00000040 8c 6a 07 2e e2 21 f3 4f 70 76 c1 a6 c0 2f 00 00 |.j...!.Opv.../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 66 0b 00 02 62 00 02 5f 00 02 5c 30 82 02 |..f...b.._..\0..| 00000070 58 30 82 01 8d a0 03 02 01 02 02 11 00 f2 99 26 |X0.............&| @@ -62,17 +62,17 @@ 000002a0 11 89 66 79 d1 8e 88 0e 0b a0 9e 30 2a c0 67 ef |..fy.......0*.g.| 000002b0 ca 46 02 88 e9 53 81 22 69 22 97 ad 80 93 d4 f7 |.F...S."i"......| 000002c0 dd 70 14 24 d7 70 0a 46 a1 16 03 03 00 ac 0c 00 |.p.$.p.F........| -000002d0 00 a8 03 00 1d 20 2a 87 76 b4 82 80 74 c1 b1 a9 |..... *.v...t...| -000002e0 4b 3c a3 c3 33 30 5b 34 ec e3 50 3e d9 fe 22 47 |K<..30[4..P>.."G| -000002f0 cd cb c8 74 de 5b 08 04 00 80 88 ae 79 87 62 bb |...t.[......y.b.| -00000300 84 20 33 ef ef 15 69 7c 10 cd 5f e7 ce 69 3e 94 |. 3...i|.._..i>.| -00000310 6d 3d fa d0 e6 e7 0e 75 d5 ed fe 4a 8a 6c a4 e6 |m=.....u...J.l..| -00000320 ea fc 54 2c eb 2f 0b 84 13 26 5d ca a6 79 91 89 |..T,./...&]..y..| -00000330 1d 1d 4e 72 9c 60 f7 83 50 05 5d b1 92 79 cb 95 |..Nr.`..P.]..y..| -00000340 47 46 fd 23 d8 2e 43 62 33 07 a2 5a ed 4d 34 31 |GF.#..Cb3..Z.M41| -00000350 d3 99 35 cf 8c 22 36 b9 09 43 ae b0 bc df 5d c5 |..5.."6..C....].| -00000360 ce e6 57 63 13 4b 95 b9 3f 74 8d 78 fa a0 40 2b |..Wc.K..?t.x..@+| -00000370 c3 18 ba 07 ad eb 42 e1 7f 8b 16 03 03 00 0c 0d |......B.........| +000002d0 00 a8 03 00 1d 20 be f7 77 2d b2 c7 55 5e 45 c7 |..... ..w-..U^E.| +000002e0 c0 24 b2 b0 0f 7b 4d 6e eb 28 16 7c f5 f9 86 0c |.$...{Mn.(.|....| +000002f0 be 24 19 68 86 1b 08 04 00 80 6c c4 13 18 0a 9a |.$.h......l.....| +00000300 f1 94 b8 c6 eb 8e b4 e0 7f 55 d8 a5 ed 83 e1 6c |.........U.....l| +00000310 d3 5d 3a ac fa 90 53 8c 6c 2a b5 17 3b 48 20 f2 |.]:...S.l*..;H .| +00000320 32 0f 76 79 52 d9 cc 73 3b 3c de 50 3b 4c 42 bd |2.vyR..s;<.P;LB.| +00000330 6a 24 0e 7f ef fc bd 2f 4e dd 86 f7 18 85 78 9b |j$...../N.....x.| +00000340 d7 8e dd fe fb b2 21 87 8e 7e 1e 8b 07 e5 99 ec |......!..~......| +00000350 2f c4 a9 5d 52 d0 d3 fb 14 24 91 16 f3 7c a7 e0 |/..]R....$...|..| +00000360 e4 f4 c7 22 85 dd ba 2a 4b 45 47 5f 4e 8b 45 f9 |..."...*KEG_N.E.| +00000370 cd 2a ef 5b f0 27 bd f3 af 5b 16 03 03 00 0c 0d |.*.[.'...[......| 00000380 00 00 08 01 01 00 02 08 04 00 00 16 03 03 00 04 |................| 00000390 0e 00 00 00 |....| >>> Flow 3 (client to server) @@ -118,26 +118,26 @@ 00000270 10 00 00 21 20 2f e5 7d a3 47 cd 62 43 15 28 da |...! /.}.G.bC.(.| 00000280 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| 00000290 5f 58 cb 3b 74 16 03 03 00 88 0f 00 00 84 08 04 |_X.;t...........| -000002a0 00 80 b1 60 bf 9c 5b 7e a8 30 a1 cd 9b 71 37 64 |...`..[~.0...q7d| -000002b0 1a ae 32 f3 05 04 9e 7e 20 16 f6 b0 06 da a8 94 |..2....~ .......| -000002c0 45 d3 2d 9e 85 bd b2 19 9b d3 c8 e3 b4 f9 6a 22 |E.-...........j"| -000002d0 b8 dd 0a 52 46 80 d7 d0 07 de 41 16 ab 35 bf 70 |...RF.....A..5.p| -000002e0 6b a4 73 15 c6 0f c2 c9 e7 7f 8f 4b f3 fc a7 b3 |k.s........K....| -000002f0 78 0d 6b cd 15 9c c6 d1 1e cb 30 aa 1d fa 40 7b |x.k.......0...@{| -00000300 31 72 98 f3 a0 fa 2a ef c0 0d 1d 28 2d 15 3d aa |1r....*....(-.=.| -00000310 56 93 05 59 74 68 d5 11 7e 6a 46 03 77 ed 9c 38 |V..Yth..~jF.w..8| -00000320 fd d8 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| -00000330 00 00 00 00 00 ac ae b1 ff ac fd f6 4b 73 c2 e4 |............Ks..| -00000340 3f e2 10 4d 19 25 72 45 9f a1 4e d1 26 2e ef 2b |?..M.%rE..N.&..+| -00000350 01 4b ad bb ba |.K...| +000002a0 00 80 07 87 a5 a0 57 80 c4 a9 12 24 72 21 91 d8 |......W....$r!..| +000002b0 e8 f3 30 f4 06 a8 9c a3 37 d3 c8 d9 1b 12 56 31 |..0.....7.....V1| +000002c0 c9 22 63 c0 2d de 5e b0 71 55 d7 26 5e a5 e9 cf |."c.-.^.qU.&^...| +000002d0 ce 8d d1 0e 1e 4e 96 87 63 47 92 4b 24 cc 1f fd |.....N..cG.K$...| +000002e0 44 e2 76 79 78 92 18 31 8a bc 81 2c 22 4b cb af |D.vyx..1...,"K..| +000002f0 26 35 6f fe 6a 56 9f 6f 84 1d 28 6a 51 ff 9a 8f |&5o.jV.o..(jQ...| +00000300 57 c8 c4 0a e9 21 b2 01 5c ad 30 4b 43 4e 2e e9 |W....!..\.0KCN..| +00000310 d6 18 5e c8 c1 d4 79 1f e1 5a ca fc c7 51 8f ad |..^...y..Z...Q..| +00000320 d1 17 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| +00000330 00 00 00 00 00 69 98 5b ef 76 ca 59 86 af 37 39 |.....i.[.v.Y..79| +00000340 33 c6 b4 f2 73 e5 bc 70 a5 07 2e e2 6c 49 b1 a3 |3...s..p....lI..| +00000350 ca 0c 11 6a 7d |...j}| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 97 05 05 14 93 |..........(.....| -00000010 3c 26 0c f0 41 11 2d 41 ac 7c 53 5c aa 77 3b 7c |<&..A.-A.|S\.w;|| -00000020 57 b9 88 20 d6 45 8e 06 fc a1 ee da f1 35 c7 1d |W.. .E.......5..| -00000030 a3 99 86 |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 c8 ad be 26 3a |..........(...&:| +00000010 d9 9d 7e b4 04 b6 87 e2 3d 53 02 0e 7c 1b e3 cc |..~.....=S..|...| +00000020 6d 10 b7 27 ec a6 49 57 61 6d 11 fd a2 4c a5 bf |m..'..IWam...L..| +00000030 8b ba c5 |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 fc 0f c0 |................| -00000010 ee 9f fd 01 0b 11 47 bf 69 78 65 9f b0 67 63 e5 |......G.ixe..gc.| -00000020 77 ee 7a 15 03 03 00 1a 00 00 00 00 00 00 00 02 |w.z.............| -00000030 16 22 08 ab 25 b0 96 e6 b6 08 34 0f 1b 98 b4 4a |."..%.....4....J| -00000040 e6 ac |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 57 03 8c |.............W..| +00000010 e1 d6 1c f6 69 a1 83 9c 42 95 c8 3c 1f 2e e1 c5 |....i...B..<....| +00000020 ab 39 58 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.9X.............| +00000030 80 0d 02 95 2c 70 90 12 21 37 9c 13 85 87 ff fd |....,p..!7......| +00000040 e5 41 |.A| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES index 9b0d034b41f..fb054d9a441 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 e8 d2 2a b3 91 |....Y...U....*..| -00000010 54 f5 d6 68 d3 b3 d1 da 33 b4 88 e9 b3 e8 af 1d |T..h....3.......| -00000020 f0 0a 4d fd bb 03 d0 45 2a 98 af 20 52 a4 f0 3c |..M....E*.. R..<| -00000030 27 f7 15 ec a5 f9 72 08 62 fd 78 5f 1e 2c 74 b1 |'.....r.b.x_.,t.| -00000040 61 d8 6d f3 7e 61 ca 5f 14 02 05 8f c0 09 00 00 |a.m.~a._........| +00000000 16 03 03 00 59 02 00 00 55 03 03 3b d5 13 09 f5 |....Y...U..;....| +00000010 75 d3 70 90 48 e0 a0 12 c6 47 1d d7 d4 18 e4 f4 |u.p.H....G......| +00000020 76 dc 72 7e 6a af 90 2f 3d 30 88 20 fe 34 42 40 |v.r~j../=0. .4B@| +00000030 2d 3d 38 3a d4 c4 d4 04 fb d9 c5 7f d1 44 62 66 |-=8:.........Dbf| +00000040 1e e0 9d 64 e5 3b 4b 00 b8 33 4a 7e c0 09 00 00 |...d.;K..3J~....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 a1 2f |*............ ./| -00000280 23 53 a5 12 e9 f7 05 24 e4 bc e6 ab be cb c8 83 |#S.....$........| -00000290 a5 45 11 51 6f f5 0c a1 8f a0 42 87 0b 0e 04 03 |.E.Qo.....B.....| -000002a0 00 8a 30 81 87 02 42 00 8a 50 c4 09 d8 5d 22 dd |..0...B..P...]".| -000002b0 00 59 71 1b 0a 2b 56 ff e0 a2 00 0f 9c f7 dd 70 |.Yq..+V........p| -000002c0 60 98 d8 f1 42 d9 46 6c 57 ef 21 f8 4b de 17 42 |`...B.FlW.!.K..B| -000002d0 38 c4 17 e5 67 0f 5d f5 83 97 dd c9 96 19 3d a5 |8...g.].......=.| -000002e0 44 5a 19 2b 0c d2 50 e7 84 02 41 60 54 79 0b fb |DZ.+..P...A`Ty..| -000002f0 ac dd 39 77 d7 9d a3 9a 9f 5f dd b2 f7 0b 73 43 |..9w....._....sC| -00000300 f5 a9 fb 7e f2 39 7a 92 27 c4 08 df e3 2d 43 10 |...~.9z.'....-C.| -00000310 a8 4f c0 08 71 01 a8 03 b1 5a e0 08 e3 77 05 7c |.O..q....Z...w.|| -00000320 4d 72 d4 de 5a 0c 28 b9 e4 cd ea d5 16 03 03 00 |Mr..Z.(.........| +00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 10 da |*............ ..| +00000280 5e e3 b8 df a4 ac 67 4a 95 b1 fa 4d 99 f0 8a d4 |^.....gJ...M....| +00000290 0d d6 ff 9e 2d 5c 43 8a 98 44 32 03 35 32 04 03 |....-\C..D2.52..| +000002a0 00 8a 30 81 87 02 42 00 fb ba d2 ba 75 d9 67 89 |..0...B.....u.g.| +000002b0 04 03 23 08 45 8c 67 c6 c6 1e d5 0f ea 74 1d c4 |..#.E.g......t..| +000002c0 80 2f 2a f6 9e ef f5 26 50 0d 7e 49 cd c7 00 43 |./*....&P.~I...C| +000002d0 3b bb 3e 6a fa fa 0f ab a6 c2 6f 04 93 23 26 79 |;.>j......o..#&y| +000002e0 1f df 2b 35 22 a9 ac 77 45 02 41 79 5a 34 10 c0 |..+5"..wE.AyZ4..| +000002f0 06 10 e5 31 4b f0 f3 3a f5 1d 67 71 b6 6a 94 f0 |...1K..:..gq.j..| +00000300 e6 6a 69 1c 1d d9 1a b9 4d 54 84 7c 94 61 a1 bf |.ji.....MT.|.a..| +00000310 f0 5b 0e f6 02 93 16 16 a2 ce 77 ac f5 74 f4 86 |.[........w..t..| +00000320 cf 1e d1 54 4d 9f dc 66 dc c2 0a 4e 16 03 03 00 |...TM..f...N....| 00000330 04 0e 00 00 00 |.....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 5f f8 e5 a2 05 9b 9e b2 21 94 58 |....._.......!.X| -00000050 48 a3 ce c2 0a 84 63 76 fe bd cb 8e 82 40 79 41 |H.....cv.....@yA| -00000060 e6 85 72 8f 3b c2 64 16 b6 1b 19 37 ba 56 2d ae |..r.;.d....7.V-.| -00000070 76 43 2a 10 ef |vC*..| +00000040 00 00 00 00 00 60 d6 9c ac cb 87 fb 1a ba 76 74 |.....`........vt| +00000050 59 a5 9f f7 9f 38 ce 98 3c 8f 62 95 05 91 cb 01 |Y....8..<.b.....| +00000060 e4 c8 5e 5b bd ec 06 0a 08 26 8e fa 4e 60 11 69 |..^[.....&..N`.i| +00000070 9c 85 88 a7 7a |....z| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 90 f1 7c 20 46 |..........@..| F| -00000010 8f 12 86 8b ec af 4f ff 53 9e df 3c 7f f7 0b 22 |......O.S..<..."| -00000020 80 b9 6a be 1b 61 c8 e6 69 e0 af f6 6e a4 4c f2 |..j..a..i...n.L.| -00000030 d6 2f 46 9f c0 0e df ca f1 9f b6 b7 26 c8 80 ee |./F.........&...| -00000040 e5 29 5c af f7 45 7e 8c 8a d3 e9 |.)\..E~....| +00000000 14 03 03 00 01 01 16 03 03 00 40 47 ab 83 2d 64 |..........@G..-d| +00000010 6c 08 fb e7 1f 16 b7 53 f1 eb e1 3f 7d f7 ae 70 |l......S...?}..p| +00000020 05 1c 7e 59 7d 0c 39 63 b4 16 ce 02 5e 33 93 3d |..~Y}.9c....^3.=| +00000030 aa 8e 87 0d 6c 8d 58 e3 87 7e 10 ff c8 1a b0 36 |....l.X..~.....6| +00000040 32 af f2 5b 48 1a 2f 67 e8 95 86 |2..[H./g...| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 fc 70 69 79 f4 6a 98 7e 84 20 e5 |......piy.j.~. .| -00000020 b0 55 99 73 b1 15 e3 b2 b6 b6 55 fc ec 33 d0 5d |.U.s......U..3.]| -00000030 1f 72 c1 2b 40 15 03 03 00 30 00 00 00 00 00 00 |.r.+@....0......| -00000040 00 00 00 00 00 00 00 00 00 00 9e 49 7f 5a 72 eb |...........I.Zr.| -00000050 ea 3f b2 27 51 73 85 27 06 a1 21 82 7f e3 3a e4 |.?.'Qs.'..!...:.| -00000060 26 41 d9 94 98 c0 4d 9c 2d 08 |&A....M.-.| +00000010 00 00 00 00 00 3f a5 4b de 73 e0 c1 4f 3d 06 d6 |.....?.K.s..O=..| +00000020 97 f1 0e 7e 99 d4 b4 cf d0 d8 53 9d f6 e9 ae af |...~......S.....| +00000030 e5 8a 18 97 54 15 03 03 00 30 00 00 00 00 00 00 |....T....0......| +00000040 00 00 00 00 00 00 00 00 00 00 fd 8f 08 a5 91 d5 |................| +00000050 78 be 89 a5 fb 12 54 83 14 7e db be 98 13 60 1a |x.....T..~....`.| +00000060 ca ac 82 3d 19 1a 97 14 f4 54 |...=.....T| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM index 3057368cabb..4b6ebe8df3f 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 f9 94 bf 77 df |....Y...U.....w.| -00000010 d2 65 9c f5 4b a5 5b 2d 83 d2 d0 fb c6 4a d5 de |.e..K.[-.....J..| -00000020 59 58 80 5e f7 a1 90 92 9c 52 d9 20 ee 15 26 2f |YX.^.....R. ..&/| -00000030 36 d6 11 c8 56 99 38 8c 21 5d 42 12 07 a7 d7 9e |6...V.8.!]B.....| -00000040 72 56 51 9a 0e 1b 40 68 d4 83 b5 f7 c0 2b 00 00 |rVQ...@h.....+..| +00000000 16 03 03 00 59 02 00 00 55 03 03 d6 d7 bb 5f 97 |....Y...U....._.| +00000010 43 4a 19 de 10 c0 0f 65 21 f9 c2 ce 8a fa 91 45 |CJ.....e!......E| +00000020 4d 69 df 0d 4b 4b 1a 80 ff 5d 6d 20 1f f8 96 a7 |Mi..KK...]m ....| +00000030 d7 e3 24 79 73 f5 3a 78 4a 6b 51 48 41 59 c6 61 |..$ys.:xJkQHAY.a| +00000040 80 c4 94 05 14 c8 04 13 cc 23 d8 ef c0 2b 00 00 |.........#...+..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 42 fb |*............ B.| -00000280 af 0d 4e a8 47 0b 59 aa 8a e0 84 cf 90 19 df 0a |..N.G.Y.........| -00000290 f7 5b c5 f8 da 3b a8 3f 64 e4 63 f2 e5 78 04 03 |.[...;.?d.c..x..| -000002a0 00 8b 30 81 88 02 42 00 d0 2b 9e 29 81 da 40 5f |..0...B..+.)..@_| -000002b0 f2 6c 9d b7 71 9a 62 8e f9 97 3c 46 aa 5a c1 0e |.l..q.b...U..,7F^.B...I.| +000002f0 57 ed fc 6e 77 c8 7d c8 d7 68 de 3c 14 f9 16 a2 |W..nw.}..h.<....| +00000300 4f ce c8 c4 e2 a4 db b6 ee 44 35 33 e9 31 47 52 |O........D53.1GR| +00000310 45 f3 f5 ee 1f 2a b1 12 f9 f0 20 38 90 8f 38 35 |E....*.... 8..85| +00000320 eb 9d 47 e3 0b 01 80 80 81 da 55 d7 41 16 03 03 |..G.......U.A...| 00000330 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 e9 67 5d |....(.........g]| -00000040 9d 46 57 e5 5c 31 66 30 60 82 a6 cc 77 e6 65 b1 |.FW.\1f0`...w.e.| -00000050 85 ca 5c 01 5c 52 27 74 c0 88 d5 1c 8a |..\.\R't.....| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 7a b4 3e |....(........z.>| +00000040 1e ab ba ba e0 75 93 f1 f1 ce 73 7a 60 a3 7d 9c |.....u....sz`.}.| +00000050 cc b3 38 d9 24 fa 2f f4 0e c9 ba 97 25 |..8.$./.....%| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 86 af 32 a9 34 |..........(..2.4| -00000010 2a de 1d a1 dd 5c 44 37 f6 87 cd 61 57 19 ed e4 |*....\D7...aW...| -00000020 af 52 52 1f a3 d0 78 c3 9e 96 d4 4e 6e 07 0f d4 |.RR...x....Nn...| -00000030 2d 17 0e |-..| +00000000 14 03 03 00 01 01 16 03 03 00 28 bd 8e 0f 72 98 |..........(...r.| +00000010 12 5f 98 49 b3 0d f1 c7 50 ef 7f 64 e0 58 ba 24 |._.I....P..d.X.$| +00000020 5c 52 bb 2d 42 71 2f 3d 42 89 c6 71 43 03 68 4c |\R.-Bq/=B..qC.hL| +00000030 e7 a2 9a |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 d2 41 48 |..............AH| -00000010 ba f3 f7 39 f7 9a 4f 0b 71 00 fd 5d d1 93 80 d4 |...9..O.q..]....| -00000020 9a 5b cb 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.[..............| -00000030 ad b0 93 42 65 a2 7f fc eb 0c 14 d0 f7 f7 ed 86 |...Be...........| -00000040 4d 5b |M[| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 7a 00 cd |.............z..| +00000010 bd 72 2f 52 4e 2a ac 52 f4 ce c0 15 86 c5 2f 2b |.r/RN*.R....../+| +00000020 6c 06 ff 15 03 03 00 1a 00 00 00 00 00 00 00 02 |l...............| +00000030 91 eb 01 b2 76 6d 84 23 db 64 35 d3 30 d4 cd 4f |....vm.#.d5.0..O| +00000040 2a ff |*.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 index da4a5003161..9ea2421b1dc 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 d9 b2 22 ea f4 |....Y...U...."..| -00000010 a5 2d 3a 3d 44 32 c0 11 86 01 83 47 83 07 a4 ba |.-:=D2.....G....| -00000020 2a 6f 80 bb 05 8c 3e a0 b0 64 f6 20 af 8b 99 78 |*o....>..d. ...x| -00000030 10 d8 52 14 51 25 69 b3 58 73 46 8d 3e 8a 79 81 |..R.Q%i.XsF.>.y.| -00000040 d7 3e a4 2f c0 55 09 50 d6 16 a7 4f c0 23 00 00 |.>./.U.P...O.#..| +00000000 16 03 03 00 59 02 00 00 55 03 03 af 91 07 b4 c6 |....Y...U.......| +00000010 68 97 27 9f 93 85 53 e1 50 6b 1b 66 7e a2 3e c9 |h.'...S.Pk.f~.>.| +00000020 51 9e b4 85 24 16 5f 8a 58 c1 a1 20 54 5a 0e 0a |Q...$._.X.. TZ..| +00000030 6e 59 24 12 17 78 4a 1c a0 85 e2 89 00 cf 56 6a |nY$..xJ.......Vj| +00000040 89 8d 1a 01 5d 78 8e 49 0e 5a 21 41 c0 23 00 00 |....]x.I.Z!A.#..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,43 +56,43 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 34 56 |*............ 4V| -00000280 e7 1a fc 56 c0 8e 37 af 86 61 56 bc 1f dc 90 c1 |...V..7..aV.....| -00000290 9c 54 e7 2a 73 df 7d 03 92 a4 77 fb 35 67 04 03 |.T.*s.}...w.5g..| -000002a0 00 8a 30 81 87 02 42 00 d9 ef 99 43 a4 fd b8 ac |..0...B....C....| -000002b0 5b 79 18 8e 07 ec d3 47 d3 eb c1 fc dd b1 5e 1e |[y.....G......^.| -000002c0 5e ef a5 8f 07 40 09 45 2c 45 7c bf c7 ad b6 95 |^....@.E,E|.....| -000002d0 b4 68 c5 0a b3 c9 56 2a 25 f0 c2 a1 94 e7 d0 ec |.h....V*%.......| -000002e0 0d 41 a0 71 18 f8 ab 7a 57 02 41 1f dd e4 f6 cd |.A.q...zW.A.....| -000002f0 06 19 2c e2 02 07 74 ea dd 92 f8 c4 d2 71 69 de |..,...t......qi.| -00000300 61 3f b1 9e ea 61 3b 91 21 0d 29 01 cc a6 01 5c |a?...a;.!.)....\| -00000310 c0 93 41 e8 fd f1 72 2e 06 d2 ce 2d 16 b1 2c 5f |..A...r....-..,_| -00000320 16 b8 d6 f6 b0 c7 7b a3 84 78 aa 3f 16 03 03 00 |......{..x.?....| +00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 01 e6 |*............ ..| +00000280 f7 8d 93 72 68 63 c5 7a 26 1c 6a 4d 8a 60 f4 70 |...rhc.z&.jM.`.p| +00000290 ab 1b 71 18 b1 8d 49 3f 6d 65 81 0d 92 25 04 03 |..q...I?me...%..| +000002a0 00 8a 30 81 87 02 41 74 dc 75 2f c9 d3 d8 68 28 |..0...At.u/...h(| +000002b0 10 b4 39 68 66 ce ff 8b 17 53 51 de 0f 66 56 68 |..9hf....SQ..fVh| +000002c0 b0 81 2d eb bb 43 f0 60 21 9a 4c 00 d0 2d 2d c2 |..-..C.`!.L..--.| +000002d0 90 3d 66 91 98 22 ea eb 19 de 2a 44 f9 3c f2 d4 |.=f.."....*D.<..| +000002e0 fa 9f 16 7d c0 1e e7 8c 02 42 01 cd 7a d5 0b c3 |...}.....B..z...| +000002f0 f3 fb 4d 73 38 7f 14 6e a4 3f e8 56 4e 3a 9c 4d |..Ms8..n.?.VN:.M| +00000300 27 8c aa 3a aa 4c 5f 60 31 65 48 9e 8b 9a ee 7e |'..:.L_`1eH....~| +00000310 6a 3b ee 40 4b 6b 15 e7 16 2f c7 fb f4 5f b5 ca |j;.@Kk.../..._..| +00000320 29 a8 df dc 0c e6 91 75 e3 9b 06 85 16 03 03 00 |)......u........| 00000330 04 0e 00 00 00 |.....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 72 c9 4d 47 6d db 97 73 8c 39 45 |.....r.MGm..s.9E| -00000050 8f f0 52 b6 ec f3 f6 eb c2 4c 8f 6a 8a ba 63 55 |..R......L.j..cU| -00000060 90 8d 7d 10 72 d3 75 c2 32 69 f9 ad d4 78 84 9e |..}.r.u.2i...x..| -00000070 ce 4f 1e ec 6f eb be fe 68 7f f1 3f 65 39 fe ff |.O..o...h..?e9..| -00000080 57 ff 21 e6 08 |W.!..| +00000040 00 00 00 00 00 95 20 e2 f4 73 2c 70 a7 e0 03 7c |...... ..s,p...|| +00000050 d0 4a 93 49 e9 0e 59 20 d8 35 3c 76 59 3b ba 04 |.J.I..Y .5>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 16 21 37 e2 6c |..........P.!7.l| -00000010 fb 32 1c ec 75 64 fe b1 3c 19 44 cb d8 83 13 c1 |.2..ud..<.D.....| -00000020 9b 98 7a 67 0a 52 44 5b 68 63 4f 12 9a 1e 09 e2 |..zg.RD[hcO.....| -00000030 65 92 48 a1 58 26 8a 22 dd 19 e6 0f 02 84 79 2b |e.H.X&."......y+| -00000040 11 3a 58 04 dc a4 08 1d f5 f2 79 19 d6 63 ec a5 |.:X.......y..c..| -00000050 28 46 ed 88 38 a1 ce 20 a6 b1 9d |(F..8.. ...| +00000000 14 03 03 00 01 01 16 03 03 00 50 59 39 b5 76 86 |..........PY9.v.| +00000010 35 ac 80 99 4e 07 3c 8e 3f ae b3 52 f9 73 b9 88 |5...N.<.?..R.s..| +00000020 98 b4 90 57 d3 85 bc c1 30 1e 1b 72 6c d4 c8 be |...W....0..rl...| +00000030 20 f5 3e d0 69 6a 78 2a e7 3b 74 bb 66 cb 04 30 | .>.ijx*.;t.f..0| +00000040 3c d5 5a cc c2 3f 30 eb 62 93 c1 de b7 7a fe 9d |<.Z..?0.b....z..| +00000050 c7 df 9b b9 57 5f aa cc c2 38 9c |....W_...8.| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 86 e7 32 19 d5 c6 23 b6 b7 de 95 |.......2...#....| -00000020 2d 71 fa 1e 3b c1 64 a0 7d 64 b7 44 5a 0f 24 10 |-q..;.d.}d.DZ.$.| -00000030 1b b3 24 18 80 57 cb 31 15 29 47 4a 9d b5 54 22 |..$..W.1.)GJ..T"| -00000040 50 41 a7 bc a8 15 03 03 00 40 00 00 00 00 00 00 |PA.......@......| -00000050 00 00 00 00 00 00 00 00 00 00 94 a3 c1 b1 32 e4 |..............2.| -00000060 32 79 f1 61 49 3f a4 9d eb 73 35 44 80 21 c6 94 |2y.aI?...s5D.!..| -00000070 60 23 3d 24 8b 94 0f 36 1e 2b 16 35 8f 3a b8 fa |`#=$...6.+.5.:..| -00000080 87 82 83 2d 23 28 1c d9 8c aa |...-#(....| +00000010 00 00 00 00 00 c3 66 ab 75 94 49 32 d6 a0 6b 45 |......f.u.I2..kE| +00000020 8e 63 c1 b2 27 8e f5 53 9f 24 b2 8f 40 6a f6 ff |.c..'..S.$..@j..| +00000030 af a3 58 f6 dc 9e a2 4b 92 87 7c 16 11 34 0f 1b |..X....K..|..4..| +00000040 8c 05 d7 49 ba 15 03 03 00 40 00 00 00 00 00 00 |...I.....@......| +00000050 00 00 00 00 00 00 00 00 00 00 cc 7c 09 c9 88 a2 |...........|....| +00000060 9f de a2 9e fd b1 f6 88 76 9c f4 4f a2 fb 88 67 |........v..O...g| +00000070 36 be 24 88 8b 72 e2 3b a4 fd f1 99 ce b4 01 ea |6.$..r.;........| +00000080 ae 54 4f 3b f2 e2 dc 0e c1 b2 |.TO;......| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 index f32d7215f92..3165ac32d79 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 c6 ed 87 bb ba |....Y...U.......| -00000010 16 06 09 5c 6a a3 9a cd a1 c4 c8 8b 78 4f 19 8d |...\j.......xO..| -00000020 e2 c7 98 3a f8 fc d1 0d d3 8e 17 20 de 60 72 8c |...:....... .`r.| -00000030 82 0e f2 68 3e d0 a5 8a c4 f5 20 72 fa 00 ab f1 |...h>..... r....| -00000040 bf 70 57 07 9d f7 aa bd 91 45 e2 e1 c0 2c 00 00 |.pW......E...,..| +00000000 16 03 03 00 59 02 00 00 55 03 03 68 5c 88 10 9f |....Y...U..h\...| +00000010 16 91 80 48 79 68 e7 e2 c7 42 13 6b 37 4b 57 b6 |...Hyh...B.k7KW.| +00000020 6e 85 c2 17 b2 44 50 4e ef 66 83 20 19 58 8f f7 |n....DPN.f. .X..| +00000030 9b 4e a3 33 6a fd d2 c6 19 08 33 1e ce 01 e6 f0 |.N.3j.....3.....| +00000040 b5 ce 99 27 d1 32 d4 e2 03 7a cc c5 c0 2c 00 00 |...'.2...z...,..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 04 92 |*............ ..| -00000280 9c e2 0b 4d 19 90 f5 a3 13 b9 6a 93 29 28 75 8e |...M......j.)(u.| -00000290 fb 36 22 c8 c5 64 92 f4 da 25 23 af bb 7f 04 03 |.6"..d...%#.....| -000002a0 00 8b 30 81 88 02 42 00 a6 e9 1f 95 11 93 e8 0d |..0...B.........| -000002b0 fc b3 4c 50 3a 43 10 dc 51 5d 2c e2 5d 22 f1 bb |..LP:C..Q],.]"..| -000002c0 9b 88 c8 ec 38 e0 c4 64 1c 1a ee 19 70 34 a3 58 |....8..d....p4.X| -000002d0 0d bb 66 1b 74 ce 95 5f 74 61 66 d8 d7 eb a1 47 |..f.t.._taf....G| -000002e0 31 cf c0 cb e6 65 1c 13 d2 02 42 01 ed 1d af f1 |1....e....B.....| -000002f0 a0 37 c6 6c ae 3b 60 50 dd b5 b2 30 25 87 9f c7 |.7.l.;`P...0%...| -00000300 b2 0b fc 76 83 0a a0 23 e8 4d 84 25 13 ea bb c3 |...v...#.M.%....| -00000310 0e 1c 5b 9d a1 d5 7f 32 17 19 59 a9 71 ef 5c f0 |..[....2..Y.q.\.| -00000320 bc 6e a8 05 7d 5e 77 b3 e0 7a f8 88 40 16 03 03 |.n..}^w..z..@...| -00000330 00 04 0e 00 00 00 |......| +00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 7b 1a |*............ {.| +00000280 03 47 7d ab f9 2a 6d c8 f2 a7 ae 61 35 b0 bd 22 |.G}..*m....a5.."| +00000290 50 09 a7 52 31 5a 5b be 85 10 0a a4 26 17 04 03 |P..R1Z[.....&...| +000002a0 00 89 30 81 86 02 41 65 4a 72 f5 94 d0 b5 78 79 |..0...AeJr....xy| +000002b0 2b ae fb 0a a2 8b 37 87 3c 8c 66 3e 87 e7 01 30 |+.....7.<.f>...0| +000002c0 22 17 00 9e 86 52 ee 6c 3a 0b 49 1f 43 cd 83 94 |"....R.l:.I.C...| +000002d0 1d 44 4e a2 0a a9 e0 44 41 bc 67 99 5c af f2 cc |.DN....DA.g.\...| +000002e0 7a 31 fa d9 63 cd 00 53 02 41 2c d2 72 a3 db f2 |z1..c..S.A,.r...| +000002f0 5d fc 12 3d f9 a7 4d cc 3c d8 bd 9e ee 70 5b 4c |]..=..M.<....p[L| +00000300 19 b7 08 0d 06 f3 8d b6 3c 66 1d f9 b0 fc 7a b9 |........>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 c5 31 e1 |....(.........1.| -00000040 66 aa c3 59 0a 85 8b 84 68 a6 1d fe 34 67 68 fd |f..Y....h...4gh.| -00000050 41 9a 9b 50 84 9b 86 05 bb 5b 3d f4 65 |A..P.....[=.e| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 d1 c1 23 |....(..........#| +00000040 b4 2b 7e e2 67 ad 35 90 69 69 09 88 b0 28 5b 2a |.+~.g.5.ii...([*| +00000050 c1 33 ac 80 4f e9 ce 3b de 97 46 73 08 |.3..O..;..Fs.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 25 e2 90 04 e5 |..........(%....| -00000010 e0 8b c2 fb ff d0 22 14 12 66 1e 65 24 58 e8 0e |......"..f.e$X..| -00000020 af 00 8c 3e ab a6 cc f4 b3 1f b7 77 77 58 f1 e8 |...>.......wwX..| -00000030 ac 06 9c |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 ae d4 5d 73 fd |..........(..]s.| +00000010 a2 22 10 dd 53 6c 0e c7 b0 3e 77 78 24 72 74 8e |."..Sl...>wx$rt.| +00000020 f6 7b fb 80 68 45 b9 d9 49 35 f4 3f 15 e9 d7 f5 |.{..hE..I5.?....| +00000030 da a5 e3 |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 e9 8e 96 |................| -00000010 50 7d dd 4e 28 99 d5 e7 c5 9c a9 84 27 a9 dc d4 |P}.N(.......'...| -00000020 de 65 45 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.eE.............| -00000030 e8 cc c9 ad 08 8e 61 34 0c 83 aa 26 f7 1c c3 07 |......a4...&....| -00000040 ac a5 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 18 0f 4c |...............L| +00000010 55 0f 74 6e 70 2f 73 2c 98 56 fb f3 e3 03 98 c5 |U.tnp/s,.V......| +00000020 58 90 ca 15 03 03 00 1a 00 00 00 00 00 00 00 02 |X...............| +00000030 15 ec 0a 09 84 8d 15 70 2d ce 7c 4e 14 f0 0a 72 |.......p-.|N...r| +00000040 9f 40 |.@| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 index 4f739cc11a3..37f80012f90 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 @@ -1,24 +1,24 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 d2 01 00 00 ce 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 d4 01 00 00 d0 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 00 08 cc a9 |................| -00000050 13 01 13 03 13 02 01 00 00 7d 00 05 00 05 01 00 |.........}......| +00000050 13 01 13 03 13 02 01 00 00 7f 00 05 00 05 01 00 |................| 00000060 00 00 00 00 0a 00 0a 00 08 00 1d 00 17 00 18 00 |................| -00000070 19 00 0b 00 02 01 00 00 0d 00 1c 00 1a 08 04 04 |................| +00000070 19 00 0b 00 02 01 00 00 0d 00 1e 00 1c 08 04 04 |................| 00000080 03 08 07 08 05 08 06 04 01 05 01 06 01 05 03 06 |................| -00000090 03 02 01 02 03 fe 61 ff 01 00 01 00 00 12 00 00 |......a.........| -000000a0 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 33 00 |.+............3.| -000000b0 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 |&.$... /.}.G.bC.| -000000c0 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| -000000d0 90 99 5f 58 cb 3b 74 |.._X.;t| +00000090 03 02 01 02 03 fe 61 fe 62 ff 01 00 01 00 00 12 |......a.b.......| +000000a0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| +000000b0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| +000000c0 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| +000000d0 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 38 5d 6c 82 55 |....Y...U..8]l.U| -00000010 7a f3 39 f8 9a ea e1 6c 05 c9 a6 b3 ee 80 20 4c |z.9....l...... L| -00000020 5e 5c 2f 1e 10 f4 2c 07 d4 2f 8f 20 29 94 d7 5e |^\/...,../. )..^| -00000030 ab 04 2b cb 61 59 58 08 bc 8d 00 d0 aa 68 b6 45 |..+.aYX......h.E| -00000040 52 c4 a5 bb cd fe d2 3e 65 c8 17 a0 cc a9 00 00 |R......>e.......| +00000000 16 03 03 00 59 02 00 00 55 03 03 02 06 f5 6a 2e |....Y...U.....j.| +00000010 7d 58 be 53 df 9a a8 06 b7 7a 9f 4b ea 2d ca 75 |}X.S.....z.K.-.u| +00000020 2c 96 83 9e 54 73 44 ca de 34 8d 20 f6 af ae 80 |,...TsD..4. ....| +00000030 1c 06 91 91 dc a0 a8 02 9b 4d 93 6a 57 5f 4c 01 |.........M.jW_L.| +00000040 59 ea 64 f3 e8 3b 57 db a4 54 f3 2a cc a9 00 00 |Y.d..;W..T.*....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -53,32 +53,32 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 c8 5a |*............ .Z| -00000280 74 1c 7d ac 46 4a b9 ce 87 1c 76 9a c3 af fc 0e |t.}.FJ....v.....| -00000290 0d 70 79 a6 65 49 a1 56 13 c3 0f 02 a7 17 04 03 |.py.eI.V........| -000002a0 00 8a 30 81 87 02 41 15 1a 91 61 f4 0e 76 fa 3c |..0...A...a..v.<| -000002b0 ee 9a f7 0f 8a 0d 93 45 41 13 c6 f5 ec cf ea 00 |.......EA.......| -000002c0 df d4 02 f8 32 d0 5f e6 10 63 21 5e 5a b0 88 d9 |....2._..c!^Z...| -000002d0 9d a2 f6 d7 8c 3e bc 50 62 3b 06 f8 d3 82 5b a2 |.....>.Pb;....[.| -000002e0 3c b6 8b 69 50 13 35 01 02 42 00 94 6d 46 fd 74 |<..iP.5..B..mF.t| -000002f0 01 e1 2d 78 c6 c2 bf 3f 99 f0 92 2a af 0f 36 f9 |..-x...?...*..6.| -00000300 6d 94 d3 da 7d 67 55 38 de fc c1 5e b8 5c 32 d2 |m...}gU8...^.\2.| -00000310 da ce b8 6b f3 dd dd e9 91 8e 73 4e c2 e5 53 fa |...k......sN..S.| -00000320 41 ba 6b ea 2c ad a9 3f 26 e9 b9 de 16 03 03 00 |A.k.,..?&.......| -00000330 04 0e 00 00 00 |.....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 a2 bf |*............ ..| +00000280 56 a8 67 70 53 4d 39 55 5e 60 b6 d5 24 ec 80 81 |V.gpSM9U^`..$...| +00000290 f3 ef 6c 11 be 31 d7 96 8b d5 dd d5 a7 40 04 03 |..l..1.......@..| +000002a0 00 8b 30 81 88 02 42 01 e8 a4 bf 1f 95 87 f0 da |..0...B.........| +000002b0 0c 9c 94 94 3c 7a 08 08 cb 26 d1 03 ef 25 d0 ef |....>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 3c 2b 61 9e ef c4 64 11 cf e9 12 |.... <+a...d....| -00000040 53 87 64 b4 fe 3d 04 d1 9c c9 72 5a 75 84 09 70 |S.d..=....rZu..p| -00000050 a9 d9 25 63 b3 |..%c.| +00000030 16 03 03 00 20 8d f2 80 8e f1 1c 8a 2a c6 e0 0c |.... .......*...| +00000040 dc c7 f3 43 1f aa 08 f2 88 e3 6c 8a 21 42 91 15 |...C......l.!B..| +00000050 29 9c 3a 0d eb |).:..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 6d 1f 64 5a 50 |.......... m.dZP| -00000010 d8 70 12 61 d8 0c 5f a6 e1 29 cd 63 1e b2 f5 5a |.p.a.._..).c...Z| -00000020 f3 29 da 2c 0b ad 7c 6c 54 f8 98 |.).,..|lT..| +00000000 14 03 03 00 01 01 16 03 03 00 20 8b 0f 58 8d ff |.......... ..X..| +00000010 d1 bc 75 f2 60 f4 6a db 60 f6 fd 87 ad 51 23 8e |..u.`.j.`....Q#.| +00000020 c9 0e 09 fb 46 c7 73 68 50 19 27 |....F.shP.'| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 05 eb 22 58 5c 67 bf 34 36 54 fb |......."X\g.46T.| -00000010 7d 58 0f c6 7f 8f b4 f9 1b 8f 6f 15 03 03 00 12 |}X........o.....| -00000020 f4 1d 9b 5f 4e 18 74 a8 ca bf 15 51 66 10 c3 78 |..._N.t....Qf..x| -00000030 73 20 |s | +00000000 17 03 03 00 16 bb a6 61 05 c3 2f 20 18 09 83 cb |.......a../ ....| +00000010 de fa 93 a9 a5 3b 0b c6 7d 68 84 15 03 03 00 12 |.....;..}h......| +00000020 46 97 12 29 74 95 e0 e0 38 73 b8 be 33 ef ec d8 |F..)t...8s..3...| +00000030 dc 6b |.k| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES index d1acd43f41b..9f541bc3c09 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 53 c1 1c aa a3 |....Y...U..S....| -00000010 a4 18 f5 56 b9 56 fd a1 51 76 69 a5 4c a3 ba d5 |...V.V..Qvi.L...| -00000020 45 36 6f 79 15 8a 93 22 66 f3 05 20 30 24 10 82 |E6oy..."f.. 0$..| -00000030 04 90 71 89 53 3d 9a 12 59 3c 83 a7 71 3d 97 3a |..q.S=..Y<..q=.:| -00000040 59 6b 24 76 29 fd 02 0b 68 7a d7 c5 c0 13 00 00 |Yk$v)...hz......| +00000000 16 03 03 00 59 02 00 00 55 03 03 67 63 bd b0 1e |....Y...U..gc...| +00000010 75 82 e9 12 b5 e8 e9 79 0f f3 00 43 96 a3 99 74 |u......y...C...t| +00000020 23 c6 78 d4 be 6b 3b 89 51 04 63 20 59 6c 0f 14 |#.x..k;.Q.c Yl..| +00000030 1a 8e 4f cb 10 99 30 8a 1e a9 f1 23 d0 b0 1f ac |..O...0....#....| +00000040 1c b8 fa 22 a5 c4 f6 fa be c4 22 a6 c0 13 00 00 |..."......".....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 63 6f 11 89 21 97 1f |........ co..!..| -000002d0 dc 27 84 44 46 cb 82 ba 7b 91 4c df f7 90 f2 7c |.'.DF...{.L....|| -000002e0 2f 3a af 5e 78 6e 8c 90 49 08 04 00 80 cc 19 24 |/:.^xn..I......$| -000002f0 ea 98 8f 6c 36 7d 06 37 b2 5a 38 de 68 b1 e2 df |...l6}.7.Z8.h...| -00000300 3c ee 47 55 01 44 3b ef 96 1a f9 1e a4 b6 1d bf |<.GU.D;.........| -00000310 4b 6a c5 17 8e 7d cd 70 6f fb 3e b3 c7 1c a1 99 |Kj...}.po.>.....| -00000320 05 07 2b 8c 30 ad b3 1b 44 ff 10 65 c6 19 c2 a1 |..+.0...D..e....| -00000330 64 91 ad 11 d6 18 2c 11 c9 b2 23 98 e5 fb ef a0 |d.....,...#.....| -00000340 05 8d b2 50 33 6e b2 8f 60 e1 fa 5a 60 40 59 d3 |...P3n..`..Z`@Y.| -00000350 80 0a 68 81 e9 3a 83 b8 63 dc 10 59 6f 38 8f c4 |..h..:..c..Yo8..| -00000360 08 94 8b ee 45 71 15 1c 2a c5 41 6e 6a 16 03 03 |....Eq..*.Anj...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 31 5f ec 97 5f b6 4c |........ 1_.._.L| +000002d0 a1 85 5a 87 a3 1a 38 a1 c1 f7 af a4 d3 41 0c 5b |..Z...8......A.[| +000002e0 28 d0 cf ec cd 2d 21 52 09 08 04 00 80 61 c0 b8 |(....-!R.....a..| +000002f0 ce 19 51 74 9b ad d9 72 4d b2 e0 d3 39 5c 12 ca |..Qt...rM...9\..| +00000300 68 25 d9 03 65 ab 9d 2f 1f 4b 15 f4 38 84 d3 b8 |h%..e../.K..8...| +00000310 25 62 bf 46 22 08 35 db a3 12 3c 9c 81 59 09 44 |%b.F".5...<..Y.D| +00000320 03 87 d1 f8 79 d4 60 3a 6d 88 b0 3e 6b e7 03 b1 |....y.`:m..>k...| +00000330 07 4b 9b 80 60 6e 39 25 c4 cb 31 04 7a 77 99 3e |.K..`n9%..1.zw.>| +00000340 c3 7b 79 80 5b 26 16 b5 0b c5 6e 2d ab 7d bd 88 |.{y.[&....n-.}..| +00000350 00 1c f8 18 1b 63 3a d6 ce 7b 1a c1 f7 d3 1a 77 |.....c:..{.....w| +00000360 c9 bf 5c 71 ae 64 6c f2 84 fe e9 a9 b9 16 03 03 |..\q.dl.........| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 14 a4 07 4f f4 f9 46 3b d8 e3 8e |........O..F;...| -00000050 c7 76 ea a9 52 b1 fa 49 4d d2 22 a6 c9 88 f2 b1 |.v..R..IM.".....| -00000060 1b b7 89 e1 e2 3b 3e 13 e7 c4 02 18 eb 3d 92 2c |.....;>......=.,| -00000070 53 d0 6d 92 a1 |S.m..| +00000040 00 00 00 00 00 34 9e 10 56 83 17 c8 b2 42 b4 db |.....4..V....B..| +00000050 3c 98 6a 79 61 b8 f4 1d ea 25 0b 39 0f d3 0a 15 |<.jya....%.9....| +00000060 d4 1a bc 60 68 c4 48 06 f2 41 fe 7f e3 40 b3 40 |...`h.H..A...@.@| +00000070 22 f5 a5 7e 6e |"..~n| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 45 43 1a 09 ae |..........@EC...| -00000010 23 3a 48 0d 47 e9 89 88 0a d0 70 d7 a9 c6 59 36 |#:H.G.....p...Y6| -00000020 c7 23 0b 38 b3 a3 86 41 f4 4e d0 71 92 40 7f ea |.#.8...A.N.q.@..| -00000030 42 14 5d 11 cd 9b 12 09 31 92 21 71 c1 5f 88 81 |B.].....1.!q._..| -00000040 66 42 77 d3 bd 90 18 46 c2 03 b8 |fBw....F...| +00000000 14 03 03 00 01 01 16 03 03 00 40 73 b6 c9 01 cb |..........@s....| +00000010 d1 05 6c e5 15 c1 1d 4f 72 0a 61 bf fb c5 48 ea |..l....Or.a...H.| +00000020 4b 8a 3e b3 a5 9d 9b cd 26 07 8b 9a fd d4 c2 43 |K.>.....&......C| +00000030 74 be aa 70 ce 0f 22 db 30 5e 0e d6 fc 2b 0d 8b |t..p..".0^...+..| +00000040 ad 69 9a 4f 16 4d d2 ef 07 66 9a |.i.O.M...f.| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 cf ed 2e 50 3d 78 f6 41 97 ac b8 |........P=x.A...| -00000020 b0 f4 3b 22 2f 07 8c cc 4e dd 32 4f 10 ec 3f 77 |..;"/...N.2O..?w| -00000030 39 4e 13 21 db 15 03 03 00 30 00 00 00 00 00 00 |9N.!.....0......| -00000040 00 00 00 00 00 00 00 00 00 00 e0 81 d1 4b d3 c5 |.............K..| -00000050 39 43 14 80 14 1b 7d 21 29 78 c6 7e 7d ec a0 31 |9C....}!)x.~}..1| -00000060 3b 29 ee 47 81 45 65 b3 1d 51 |;).G.Ee..Q| +00000010 00 00 00 00 00 70 fe 69 72 80 af d5 69 5c b9 48 |.....p.ir...i\.H| +00000020 2c 42 c4 18 2f 07 06 f3 79 87 b6 c7 dd f1 1c b1 |,B../...y.......| +00000030 19 79 ac 8d 3b 15 03 03 00 30 00 00 00 00 00 00 |.y..;....0......| +00000040 00 00 00 00 00 00 00 00 00 00 2a 39 78 c1 74 18 |..........*9x.t.| +00000050 8e 75 b3 54 68 39 d8 81 91 f9 d1 fd c5 e7 4c ab |.u.Th9........L.| +00000060 5b 44 0e ad f7 36 d5 6c 9a e3 |[D...6.l..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 index 74c9bf01c02..b8657300ee8 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 db 51 99 48 37 |....Y...U...Q.H7| -00000010 6e 01 26 cd 9a 4a bf 4f 3b 27 c1 be 8f e5 25 43 |n.&..J.O;'....%C| -00000020 2e b1 c3 95 d9 ba ec 04 67 47 c3 20 d1 7d 32 31 |........gG. .}21| -00000030 53 d1 b4 19 7f 5d c3 02 54 2a a0 f5 80 00 a3 3e |S....]..T*.....>| -00000040 c7 32 17 af 1c d4 61 f4 19 9b c2 54 c0 27 00 00 |.2....a....T.'..| +00000000 16 03 03 00 59 02 00 00 55 03 03 3a 9d 6d 30 19 |....Y...U..:.m0.| +00000010 6d 00 ae f2 d9 b7 f6 56 ea f7 06 ec 89 99 1d 09 |m......V........| +00000020 3f 48 50 b6 e1 4d f7 a7 83 91 50 20 a4 6e 8a 17 |?HP..M....P .n..| +00000030 52 a0 e7 e4 00 ce b8 bd 0d 80 ed 0b c0 d9 e6 ad |R...............| +00000040 c8 24 e2 39 e0 2f 4c 6e 71 e2 e3 88 c0 27 00 00 |.$.9./Lnq....'..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,42 +61,42 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 a6 87 85 f2 69 d8 72 |........ ....i.r| -000002d0 28 c9 f8 a6 c3 f3 47 c9 23 15 56 69 95 a2 59 09 |(.....G.#.Vi..Y.| -000002e0 6a d8 10 0b a1 2e b5 49 08 08 04 00 80 2e 6e 7b |j......I......n{| -000002f0 c4 e5 25 e4 7c 83 ee 76 7c 36 a7 08 b8 fc 85 6a |..%.|..v|6.....j| -00000300 6a 93 21 9b ba b6 58 b7 8d a1 c3 24 b2 70 1b e4 |j.!...X....$.p..| -00000310 29 d1 90 34 da 1a 3e 66 1c f8 76 e2 60 37 d2 21 |)..4..>f..v.`7.!| -00000320 7d 77 97 0b ee 82 64 a7 8b 29 63 31 cc 8f c0 5c |}w....d..)c1...\| -00000330 d2 53 b1 04 b1 e3 b8 0a 98 af b8 1b f7 32 63 19 |.S...........2c.| -00000340 82 26 28 1f 4b 8c 6a ce 12 f9 c2 73 38 73 79 66 |.&(.K.j....s8syf| -00000350 8f 88 8d 29 39 d0 3d 3a 2f be e9 c4 ab 06 8e fe |...)9.=:/.......| -00000360 c5 38 ce 45 42 6f 38 a0 bc f7 f5 32 29 16 03 03 |.8.EBo8....2)...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 da f4 65 ac 8a 18 48 |........ ..e...H| +000002d0 d1 2c c9 b2 b9 3b 5d 8f ff e5 99 5e f2 c0 dd 98 |.,...;]....^....| +000002e0 92 61 75 f3 85 32 9c 87 05 08 04 00 80 cf ba 5b |.au..2.........[| +000002f0 74 63 9f 36 08 67 8d be 06 b4 b4 f0 38 01 fc c1 |tc.6.g......8...| +00000300 9e 3d d0 f5 2b 0b 2a 1f c3 97 fe 08 11 75 91 b6 |.=..+.*......u..| +00000310 cb 7a 08 f0 f7 a3 30 63 7c df d0 cb 4e ca b5 e5 |.z....0c|...N...| +00000320 fb 5c 5e 43 8e 1f 6e fb c5 5a a4 89 bd 2c f4 4c |.\^C..n..Z...,.L| +00000330 50 62 36 06 53 5c 33 f4 57 3a 42 2a a7 c3 a7 fc |Pb6.S\3.W:B*....| +00000340 4d aa 4c df e5 25 61 ef 98 92 84 49 69 e2 c2 08 |M.L..%a....Ii...| +00000350 a6 b9 af 7a f3 a4 56 9a d8 e6 2b 8d 61 16 97 ee |...z..V...+.a...| +00000360 03 56 1a 67 eb b0 94 f4 7b 10 38 21 cb 16 03 03 |.V.g....{.8!....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 da 1e 90 80 d7 60 a5 e4 95 dc 5b |..........`....[| -00000050 fe 5d 74 55 95 27 c9 73 06 2f 82 53 aa 9a 68 d8 |.]tU.'.s./.S..h.| -00000060 70 8d 5d ee 6b cc 59 7a 86 66 e1 a6 14 42 85 56 |p.].k.Yz.f...B.V| -00000070 90 22 64 3b 08 04 1a 53 1c 76 5a 3c d9 5c 7b 32 |."d;...S.vZ<.\{2| -00000080 29 ed 7b 57 21 |).{W!| +00000040 00 00 00 00 00 8b 32 62 df a7 81 85 3b c6 d9 29 |......2b....;..)| +00000050 96 e1 63 85 15 c8 36 e8 6d 6a 2e 1b 30 cd 32 ce |..c...6.mj..0.2.| +00000060 bc 82 6d 39 ae 12 94 df 80 4b 5f 84 db 19 d7 0a |..m9.....K_.....| +00000070 42 60 aa e0 54 af 25 e3 37 64 d5 7a 60 de 8b 1c |B`..T.%.7d.z`...| +00000080 4c dc 31 3a 3d |L.1:=| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 f5 0e 68 21 e9 |..........P..h!.| -00000010 99 f9 aa 73 7a 9e 88 aa 28 ae 96 52 9a b6 34 f3 |...sz...(..R..4.| -00000020 8f ab af a9 cc 51 e0 d4 e8 49 0a 5d fe 3d 72 0f |.....Q...I.].=r.| -00000030 c8 db f1 f5 54 6e 55 fd be 42 7a de 3f 98 e2 68 |....TnU..Bz.?..h| -00000040 7c b4 f9 f3 c3 bb f3 68 24 3a 65 b3 1c ee 40 1a ||......h$:e...@.| -00000050 31 1a 53 a0 46 10 d6 eb 67 0c b5 |1.S.F...g..| +00000000 14 03 03 00 01 01 16 03 03 00 50 23 95 48 22 86 |..........P#.H".| +00000010 78 54 0f a7 d3 5d 16 cd f7 48 3a 7a a2 1a 35 8a |xT...]...H:z..5.| +00000020 2a e3 7d d7 33 b9 d4 0b e3 d3 b3 49 e3 79 3b 22 |*.}.3......I.y;"| +00000030 d9 c8 ef a6 3a da d5 1e 31 f0 eb a6 4a b3 4b 04 |....:...1...J.K.| +00000040 9e a8 40 d5 00 65 97 ae ea b6 89 62 c9 dc c8 f3 |..@..e.....b....| +00000050 2d c4 21 82 9a d0 73 28 95 b9 32 |-.!...s(..2| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 57 02 39 eb bd 0e 01 ab 6a 88 51 |.....W.9.....j.Q| -00000020 bd a2 8c 0e 42 53 87 22 17 89 a3 0d 05 c5 22 9a |....BS."......".| -00000030 83 0c c6 dc ad fa 1b af 1e 26 8b 27 e3 2d ca 59 |.........&.'.-.Y| -00000040 c8 b8 13 ef 66 15 03 03 00 40 00 00 00 00 00 00 |....f....@......| -00000050 00 00 00 00 00 00 00 00 00 00 d4 57 6d 22 b1 f2 |...........Wm"..| -00000060 cd 39 c6 2f bc 6e a4 6b 31 2b e7 4c 86 fe e0 60 |.9./.n.k1+.L...`| -00000070 de 33 67 bd 3f cd 3d 74 7f a8 d6 d6 3e 7a 12 d0 |.3g.?.=t....>z..| -00000080 29 63 1c 58 a1 1b 89 a7 d8 a9 |)c.X......| +00000010 00 00 00 00 00 e3 1c 4d b4 7b dd 89 4d 96 44 69 |.......M.{..M.Di| +00000020 26 9e 39 09 78 5e c1 1e ce fe 0f e1 2e a2 59 a5 |&.9.x^........Y.| +00000030 22 8d 7d 38 c6 e6 fd fa 5b c1 53 72 66 9c 96 73 |".}8....[.Srf..s| +00000040 c5 88 e8 fb 37 15 03 03 00 40 00 00 00 00 00 00 |....7....@......| +00000050 00 00 00 00 00 00 00 00 00 00 f4 e8 59 70 04 71 |............Yp.q| +00000060 7d 15 00 35 ef 08 e4 62 89 58 73 cb f0 a6 d1 24 |}..5...b.Xs....$| +00000070 30 9d 3f 34 f8 44 bc 9d aa 4e a2 b1 0b 39 45 e0 |0.?4.D...N...9E.| +00000080 5e 21 34 f5 14 55 ec fa 31 b7 |^!4..U..1.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 index 71faeb0c594..db96c1997c6 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 @@ -1,24 +1,24 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 d2 01 00 00 ce 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 d4 01 00 00 d0 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 00 08 cc a8 |................| -00000050 13 01 13 03 13 02 01 00 00 7d 00 05 00 05 01 00 |.........}......| +00000050 13 01 13 03 13 02 01 00 00 7f 00 05 00 05 01 00 |................| 00000060 00 00 00 00 0a 00 0a 00 08 00 1d 00 17 00 18 00 |................| -00000070 19 00 0b 00 02 01 00 00 0d 00 1c 00 1a 08 04 04 |................| +00000070 19 00 0b 00 02 01 00 00 0d 00 1e 00 1c 08 04 04 |................| 00000080 03 08 07 08 05 08 06 04 01 05 01 06 01 05 03 06 |................| -00000090 03 02 01 02 03 fe 61 ff 01 00 01 00 00 12 00 00 |......a.........| -000000a0 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 33 00 |.+............3.| -000000b0 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 |&.$... /.}.G.bC.| -000000c0 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| -000000d0 90 99 5f 58 cb 3b 74 |.._X.;t| +00000090 03 02 01 02 03 fe 61 fe 62 ff 01 00 01 00 00 12 |......a.b.......| +000000a0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| +000000b0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| +000000c0 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| +000000d0 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 ed 44 14 5d d6 |....Y...U...D.].| -00000010 a6 31 97 a1 ac 21 23 b0 df 92 06 2e 49 be a0 f4 |.1...!#.....I...| -00000020 a3 78 82 1d 9a bc 27 01 3a 69 1b 20 93 d6 29 31 |.x....'.:i. ..)1| -00000030 22 d0 80 37 1c df 5d 94 80 59 d4 fe 06 6f 0b 4b |"..7..]..Y...o.K| -00000040 58 44 11 60 84 cb b6 57 c5 b1 a6 83 cc a8 00 00 |XD.`...W........| +00000000 16 03 03 00 59 02 00 00 55 03 03 51 6c 8a 3c 77 |....Y...U..Ql....B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 8d 87 d9 44 bd 4f a5 |........ ...D.O.| -000002d0 7b aa 84 90 28 38 87 be b7 23 e5 38 47 bd 25 44 |{...(8...#.8G.%D| -000002e0 eb 11 10 5b b9 19 b0 48 6a 08 04 00 80 6d cb e5 |...[...Hj....m..| -000002f0 87 6e f4 af 7d fe fb 28 42 c8 14 1e 9b da 50 cd |.n..}..(B.....P.| -00000300 5a 07 50 bc 34 72 9d 9b d4 ff 93 90 0a c6 30 93 |Z.P.4r........0.| -00000310 ed fc a9 a0 23 a4 66 de 80 f8 a3 3e b8 34 05 19 |....#.f....>.4..| -00000320 79 32 cd 7b 04 67 25 49 21 68 d1 1a 84 02 33 f6 |y2.{.g%I!h....3.| -00000330 55 b0 00 db 50 c6 e2 ca 35 98 6d 58 13 79 a4 c4 |U...P...5.mX.y..| -00000340 ee 63 ab d4 da 73 31 65 98 72 e9 0a 06 1b 38 31 |.c...s1e.r....81| -00000350 ba 1b b6 f5 fa 30 05 25 6a 81 ad b2 c6 57 ee 5a |.....0.%j....W.Z| -00000360 e2 50 8e 22 22 a6 d9 4e 94 78 06 04 83 16 03 03 |.P.""..N.x......| +000002c0 ac 0c 00 00 a8 03 00 1d 20 77 f5 b0 33 86 81 4d |........ w..3..M| +000002d0 8e 9e e0 4a 55 c6 e4 7b 9c 29 12 bf a9 86 30 40 |...JU..{.)....0@| +000002e0 46 9e e3 07 e1 e1 1f 3f 11 08 04 00 80 59 c3 7f |F......?.....Y..| +000002f0 9e 28 6a 74 90 6d c6 dd 0a e3 3e 10 06 ef af 37 |.(jt.m....>....7| +00000300 37 b1 bb 23 1f 9b 4a 8f e0 0e 3c 29 8e 2e 27 32 |7..#..J...<)..'2| +00000310 4e 28 d4 a9 af 5b 0d aa 98 9f 19 de 4d be 24 99 |N(...[......M.$.| +00000320 42 2c ce 8d 94 dd 2f eb 3a c2 90 67 fe 4b 8c 9d |B,..../.:..g.K..| +00000330 d2 39 eb a7 9d 2b 71 50 f5 35 44 e0 d7 cb c6 a3 |.9...+qP.5D.....| +00000340 52 a7 96 cf 66 68 ec c2 94 16 bd 31 2c 61 aa 30 |R...fh.....1,a.0| +00000350 96 66 a6 7b ef 40 52 66 e2 39 b3 4b ae 85 b6 b6 |.f.{.@Rf.9.K....| +00000360 72 3c d7 42 11 8d 35 e5 ec 6b 43 f8 81 16 03 03 |r<.B..5..kC.....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 4d 7a f4 fd 1f fd 40 cb 21 f5 1a |.... Mz....@.!..| -00000040 db 9f ed 50 11 81 12 25 98 9b 0c 6f a3 5f f0 f4 |...P...%...o._..| -00000050 02 41 6a 90 a2 |.Aj..| +00000030 16 03 03 00 20 19 05 ee 49 e9 b5 ea 88 6d 21 d6 |.... ...I....m!.| +00000040 9c 0b 9c 8e 77 cd 81 cd cf e1 27 18 10 c2 b0 50 |....w.....'....P| +00000050 77 df 13 45 8b |w..E.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 f0 dc 6a 58 ad |.......... ..jX.| -00000010 17 ab eb 32 4c 96 ab b7 f0 8c db 07 46 56 23 eb |...2L.......FV#.| -00000020 e3 df 4f 9d 7a b9 84 b3 3c fe 76 |..O.z...<.v| +00000000 14 03 03 00 01 01 16 03 03 00 20 00 21 ad 9a 73 |.......... .!..s| +00000010 07 7f 51 d7 1d 2c e7 f1 f4 65 cb 84 48 66 aa 97 |..Q..,...e..Hf..| +00000020 0f d7 84 39 40 29 e6 92 58 57 06 |...9@)..XW.| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 50 d3 e2 da bd 4f ab 95 a6 7a f8 |.....P....O...z.| -00000010 85 ce 90 dc 67 8c ab b9 a3 e6 00 15 03 03 00 12 |....g...........| -00000020 23 9c 52 ef e4 8e 0b 1c f0 14 71 30 44 a2 32 68 |#.R.......q0D.2h| -00000030 23 4a |#J| +00000000 17 03 03 00 16 b3 f5 f6 b4 e4 a5 bc 8e 85 08 07 |................| +00000010 3b b8 8d bc e8 02 b1 ac 58 e5 48 15 03 03 00 12 |;.......X.H.....| +00000020 69 e7 79 c6 31 fd de 3c f1 07 27 2b 68 bf 7d 45 |i.y.1..<..'+h.}E| +00000030 81 61 |.a| diff --git a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 index 713b94201e9..c1a45c6b1c4 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 06 f3 d3 1c f3 |....Y...U.......| -00000010 d7 26 df ed a5 75 b2 92 88 a2 bb 87 61 68 21 52 |.&...u......ah!R| -00000020 88 29 0e 6f e0 e8 4d f4 d0 c3 0f 20 7b 8e 65 96 |.).o..M.... {.e.| -00000030 ae 50 cd 41 5b b8 6f 72 db 8b 3a cc 5c 83 af 43 |.P.A[.or..:.\..C| -00000040 a4 af c3 81 d2 c8 aa 94 8a e6 9f 4d cc a9 00 00 |...........M....| +00000000 16 03 03 00 59 02 00 00 55 03 03 59 f0 fc e3 45 |....Y...U..Y...E| +00000010 92 db 61 58 de 1e a3 f4 e6 1d 57 73 34 26 a7 5f |..aX......Ws4&._| +00000020 90 7c 7c 9d 31 a8 a1 1a 1a 99 49 20 78 5a 91 98 |.||.1.....I xZ..| +00000030 82 16 c3 cd 48 fe 1c 4e 98 29 8f b1 a9 c4 b3 5c |....H..N.).....\| +00000040 a9 c4 ac bc 1a 7c f2 cb 41 96 33 ee cc a9 00 00 |.....|..A.3.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 01 3c 0b 00 01 38 00 01 35 00 01 32 30 82 01 |..<...8..5..20..| 00000070 2e 30 81 e1 a0 03 02 01 02 02 10 0f 43 1c 42 57 |.0..........C.BW| @@ -43,27 +43,27 @@ 00000170 90 95 39 e5 0d c1 55 ff 2c 16 b7 1d fc ab 7d 4d |..9...U.,.....}M| 00000180 d4 e0 93 13 d0 a9 42 e0 b6 6b fe 5d 67 48 d7 9f |......B..k.]gH..| 00000190 50 bc 6c cd 4b 03 83 7c f2 08 58 cd ac cf 0c 16 |P.l.K..|..X.....| -000001a0 03 03 00 6c 0c 00 00 68 03 00 1d 20 e7 07 b8 29 |...l...h... ...)| -000001b0 7b 03 0a 43 c7 ed 42 e1 dd 3f 7e fc 83 14 d2 29 |{..C..B..?~....)| -000001c0 a9 06 c6 b9 1f 09 dc f2 56 e6 c8 0b 08 07 00 40 |........V......@| -000001d0 b8 70 54 d6 85 83 6f b4 50 a1 ae bc 34 64 c6 d7 |.pT...o.P...4d..| -000001e0 8b af 20 69 6e eb 80 15 9d 51 56 20 0c 79 3d 5a |.. in....QV .y=Z| -000001f0 32 46 42 7e 3f f3 07 df 19 c5 3b 85 8b de 30 79 |2FB~?.....;...0y| -00000200 d3 32 b5 6d c1 c6 98 a0 18 73 05 46 6d c0 4a 0b |.2.m.....s.Fm.J.| +000001a0 03 03 00 6c 0c 00 00 68 03 00 1d 20 82 0b 27 09 |...l...h... ..'.| +000001b0 34 9e f2 49 fc c9 d3 04 3c cf 6b a1 6c d4 17 df |4..I....<.k.l...| +000001c0 e1 9f df 4f 52 41 a8 8b c3 90 d9 02 08 07 00 40 |...ORA.........@| +000001d0 5e 0b 28 0c 59 c9 bb 9c 86 eb e3 48 0c b5 fb 23 |^.(.Y......H...#| +000001e0 17 e4 30 5e fd 90 0a e2 89 93 47 25 d3 f1 9f ee |..0^......G%....| +000001f0 79 c7 58 b0 7b 65 31 7e ff 97 0f d2 59 92 10 e3 |y.X.{e1~....Y...| +00000200 c4 39 24 ab d7 26 44 fa a8 67 9a 4f 9b 72 4d 04 |.9$..&D..g.O.rM.| 00000210 16 03 03 00 04 0e 00 00 00 |.........| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 9b a6 e1 d7 2e 41 37 42 d8 d8 e4 |.... .....A7B...| -00000040 ec 58 cc c1 cf 63 fa 21 4b 54 35 2e 86 97 78 72 |.X...c.!KT5...xr| -00000050 f5 2b 22 2e e6 |.+"..| +00000030 16 03 03 00 20 23 d5 7b 8f 89 2d 13 1b 1c e7 64 |.... #.{..-....d| +00000040 1d f3 70 db c2 fe 29 c5 09 ea 10 0a 60 cb ca dc |..p...).....`...| +00000050 86 ef e4 f8 af |.....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 da 7f b0 8d 95 |.......... .....| -00000010 63 60 58 83 80 23 87 8a bc 15 88 58 62 1e 09 77 |c`X..#.....Xb..w| -00000020 12 82 e8 1f 91 c6 68 fa 3d a5 0d |......h.=..| +00000000 14 03 03 00 01 01 16 03 03 00 20 e8 c4 45 bc ff |.......... ..E..| +00000010 69 dd af ae 43 7a 74 02 98 ef 1f 99 56 b4 9e e5 |i...Czt.....V...| +00000020 5a 8a 1b 7d 51 38 82 2d db 5a 9b |Z..}Q8.-.Z.| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 51 7a af 68 6c ac 18 1d 53 9c ad |.....Qz.hl...S..| -00000010 ed 16 10 c8 68 80 57 5c c9 67 c5 15 03 03 00 12 |....h.W\.g......| -00000020 05 fa 7e bf 39 fe 34 e0 cd 6d d7 ca eb 78 fc 82 |..~.9.4..m...x..| -00000030 5e 29 |^)| +00000000 17 03 03 00 16 8d da 5c 87 08 9c 89 6f 12 c5 59 |.......\....o..Y| +00000010 e5 e6 48 c8 dd 53 1c 1d 18 7c a5 15 03 03 00 12 |..H..S...|......| +00000020 66 3d 5a 01 41 61 6a 42 6a 8f 85 d1 a5 28 2b 9c |f=Z.AajBj....(+.| +00000030 91 c4 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial index bb3a404b850..5c54f2728be 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 8b 05 27 f4 0b |....Y...U....'..| -00000010 1b 36 27 86 c7 68 89 cf 1d 63 f7 31 af 2a 5b cc |.6'..h...c.1.*[.| -00000020 03 27 21 fb ae 28 9c 03 46 a2 52 20 cb d5 49 da |.'!..(..F.R ..I.| -00000030 49 59 8d 54 70 60 c8 33 23 83 62 90 8f b5 7b 7f |IY.Tp`.3#.b...{.| -00000040 79 23 d9 33 63 13 4b fa 75 b8 63 83 cc a8 00 00 |y#.3c.K.u.c.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 62 0b ba 57 85 |....Y...U..b..W.| +00000010 fc 80 a6 b4 2c fb cf f9 3c 6b 24 4e 65 88 3f 21 |....,......B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 9e 6b 5a f3 8e e8 da |........ .kZ....| -000002d0 84 2f b7 ba 2e 43 6b 97 e0 4a 48 36 fc c2 d0 ef |./...Ck..JH6....| -000002e0 e6 d8 36 7c 24 66 82 f7 18 08 04 00 80 1f 2f dd |..6|$f......../.| -000002f0 04 01 58 b5 8b d0 3a bf d9 05 6c 6f c9 23 84 87 |..X...:...lo.#..| -00000300 a7 fe 81 23 a1 fc 66 d4 4c 71 cd 5e 1f d3 c9 30 |...#..f.Lq.^...0| -00000310 24 1e 13 e4 02 f6 d7 70 15 ff 1b 5c 20 34 35 25 |$......p...\ 45%| -00000320 12 11 7f 78 64 cc e3 d8 d9 f9 70 46 48 bd 1d 92 |...xd.....pFH...| -00000330 a4 86 f5 72 f2 13 74 32 2a ad 29 fe b6 c0 f2 36 |...r..t2*.)....6| -00000340 84 0b de 7a 2d 4f a8 6d 4e 5c 55 3f 1e 22 f5 64 |...z-O.mN\U?.".d| -00000350 05 69 e5 ca 88 48 f2 a9 08 f8 44 94 f7 09 3e 26 |.i...H....D...>&| -00000360 dd fe 56 57 1b 10 23 4b 0e cf dc c5 1b 16 03 03 |..VW..#K........| +000002c0 ac 0c 00 00 a8 03 00 1d 20 41 6d d4 b7 66 b6 a0 |........ Am..f..| +000002d0 39 2e e0 fb 5f 49 7b 80 36 9c 58 76 8b 01 a6 2a |9..._I{.6.Xv...*| +000002e0 0a dc 69 23 27 12 e6 d8 42 08 04 00 80 99 24 92 |..i#'...B.....$.| +000002f0 e8 41 27 74 cd 6f 0e 8e 23 27 8c bf 52 4c e9 eb |.A't.o..#'..RL..| +00000300 09 ef 23 95 7a 4a 8e de a9 97 39 8b 84 4f 9b 35 |..#.zJ....9..O.5| +00000310 42 43 72 4c 04 d0 6a c4 9c 59 17 fe a7 6e 14 a0 |BCrL..j..Y...n..| +00000320 1d de 2f 7e 62 92 0b 4c 6e b0 9a 57 be 0f 4f 62 |../~b..Ln..W..Ob| +00000330 97 ec f0 a8 59 b8 c3 c2 69 03 03 d5 64 c6 6f ba |....Y...i...d.o.| +00000340 2b bf 3a 80 59 68 7d 04 d4 79 89 23 57 8d dd 90 |+.:.Yh}..y.#W...| +00000350 d0 af 57 ed fc fc d5 93 0f 72 0d 75 c5 54 a4 64 |..W......r.u.T.d| +00000360 a4 ff 94 d2 fc 8b f3 b2 77 9b 32 10 51 16 03 03 |........w.2.Q...| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 83 e8 b4 2c 5e a4 a7 c1 7c c5 04 |.... ...,^...|..| -00000040 8b 59 a7 26 00 af 4b a9 fe eb dd 17 a5 22 bc fc |.Y.&..K......"..| -00000050 e1 0c cf cf a5 |.....| +00000030 16 03 03 00 20 97 f0 86 e0 99 1a 63 20 73 e4 5f |.... ......c s._| +00000040 05 7c 4d a4 9a 80 39 5a 98 42 08 72 e6 2f 1a ce |.|M...9Z.B.r./..| +00000050 1c c7 57 6a d0 |..Wj.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 60 50 99 2c 18 |.......... `P.,.| -00000010 62 e2 2c 6a d6 33 77 0c b6 bc 6d 4e 22 1c 1d cc |b.,j.3w...mN"...| -00000020 9f 81 4e fb 72 1f 30 e6 49 e0 ef |..N.r.0.I..| +00000000 14 03 03 00 01 01 16 03 03 00 20 2b 90 84 41 b8 |.......... +..A.| +00000010 9f 28 74 c4 57 dc f7 aa c4 d3 a3 56 d9 26 eb e4 |.(t.W......V.&..| +00000020 eb d3 86 3b 81 f0 a7 e8 f4 ab 8e |...;.......| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 b0 32 cb f3 89 70 d1 aa 23 83 ca |......2...p..#..| -00000010 40 60 cd 11 7a 4a 2e 1a 1a 43 6a 15 03 03 00 12 |@`..zJ...Cj.....| -00000020 11 8b fc d6 39 40 0d 5d 2a cb 06 51 85 43 ff 70 |....9@.]*..Q.C.p| -00000030 f1 f0 |..| +00000000 17 03 03 00 16 07 53 e8 df ff c2 80 dc 7f b6 99 |......S.........| +00000010 44 63 a0 9f 8a 3c 0e 2b 57 f8 87 15 03 03 00 12 |Dc...<.+W.......| +00000020 94 51 a6 05 23 16 fd 7a f2 cf 0c 14 f7 40 a3 ac |.Q..#..z.....@..| +00000030 86 72 |.r| diff --git a/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE b/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE index 126368fb492..c36278b3e64 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv12-P256-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 17 01 00 01 13 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 19 01 00 01 15 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,22 +7,22 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 98 00 05 00 05 01 00 00 00 00 00 0a 00 |................| -00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 1c 00 |................| -000000a0 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 fe 61 ff 01 00 01 00 |..........a.....| -000000c0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| -000000d0 01 00 33 00 47 00 45 00 17 00 41 04 1e 18 37 ef |..3.G.E...A...7.| -000000e0 0d 19 51 88 35 75 71 b5 e5 54 5b 12 2e 8f 09 67 |..Q.5uq..T[....g| -000000f0 fd a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b 2d 4f |..$ >.V...(^.+-O| -00000100 9e f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 b6 d7 |....lK[.V.2B.X..| -00000110 49 a6 b5 68 1a 41 03 56 6b dc 5a 89 |I..h.A.Vk.Z.| +00000080 01 00 00 9a 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 1e 00 |................| +000000a0 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff 01 00 |..........a.b...| +000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| +000000d0 02 03 01 00 33 00 47 00 45 00 17 00 41 04 1e 18 |....3.G.E...A...| +000000e0 37 ef 0d 19 51 88 35 75 71 b5 e5 54 5b 12 2e 8f |7...Q.5uq..T[...| +000000f0 09 67 fd a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b |.g..$ >.V...(^.+| +00000100 2d 4f 9e f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 |-O....lK[.V.2B.X| +00000110 b6 d7 49 a6 b5 68 1a 41 03 56 6b dc 5a 89 |..I..h.A.Vk.Z.| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 82 8e 25 a2 57 |....Y...U....%.W| -00000010 6b 7d 8a eb b1 b0 65 b1 14 d8 3e e4 26 67 f7 6f |k}....e...>.&g.o| -00000020 46 4a 74 c7 24 e0 73 d0 b1 3a e9 20 4b ba 54 44 |FJt.$.s..:. K.TD| -00000030 6d 98 a4 f2 d9 42 8f 2d fb 15 47 4a 08 da 13 9c |m....B.-..GJ....| -00000040 5b 64 29 7e e3 b1 a7 fd d8 ba c3 b5 c0 2f 00 00 |[d)~........./..| +00000000 16 03 03 00 59 02 00 00 55 03 03 6d bd 38 76 60 |....Y...U..m.8v`| +00000010 0d fe e0 2a 7c 7e 4e 95 27 58 2b 72 e3 47 71 5b |...*|~N.'X+r.Gq[| +00000020 c1 49 ca 65 46 e0 97 60 50 f5 e2 20 0c fa 31 27 |.I.eF..`P.. ..1'| +00000030 1e a9 51 28 51 61 89 a1 38 22 59 db b9 3f e0 af |..Q(Qa..8"Y..?..| +00000040 59 d2 a2 44 c0 d0 1d 3a b9 49 13 0b c0 2f 00 00 |Y..D...:.I.../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -62,19 +62,19 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 cd 0c 00 00 c9 03 00 17 41 04 12 50 e4 6b fa e9 |........A..P.k..| -000002d0 04 f3 d2 ea ef 99 c5 ff c0 bc 2f 3b d8 f8 2e 3c |........../;...<| -000002e0 4a e7 da 42 5c 50 19 eb 14 af aa 83 b8 7d b6 e5 |J..B\P.......}..| -000002f0 5c 0e df 1f 43 40 b0 db 7f 93 3c cd d4 b7 43 17 |\...C@....<...C.| -00000300 d1 dc 0f 45 12 ba dd 87 ad c4 08 04 00 80 b3 79 |...E...........y| -00000310 88 74 ac 96 6d 19 3d 38 3c f5 24 6b 41 12 9d f0 |.t..m.=8<.$kA...| -00000320 79 56 2f cf 3a b7 0a 0f e1 eb f9 dc 67 26 1b 5d |yV/.:.......g&.]| -00000330 38 39 ff f7 50 45 27 e5 f2 35 76 c4 a1 9c 9c 47 |89..PE'..5v....G| -00000340 8c 6f 75 1f 80 a5 7b 31 ca 98 28 41 71 53 62 11 |.ou...{1..(AqSb.| -00000350 2f 30 b3 35 7c 9f 4f 0e 04 7c a7 56 33 ee 51 43 |/0.5|.O..|.V3.QC| -00000360 23 c7 7c d3 d1 b2 fb 5d 28 c4 bf e0 b1 a4 5d d7 |#.|....](.....].| -00000370 44 96 fb 35 b1 d5 51 db db 56 11 a9 0c 44 b3 7a |D..5..Q..V...D.z| -00000380 ef 44 eb c1 d5 80 0f 62 74 c9 3b 10 cf 4e 16 03 |.D.....bt.;..N..| +000002c0 cd 0c 00 00 c9 03 00 17 41 04 ed d3 62 7b eb ab |........A...b{..| +000002d0 75 0d b6 05 b3 07 ea 8e 0a 8e a7 f2 da 23 47 a0 |u............#G.| +000002e0 1a c5 d9 c4 58 fb a0 39 ef cf 24 82 60 73 1b a8 |....X..9..$.`s..| +000002f0 7a 39 0d 38 6f aa bf d6 2d 02 e7 04 10 8c 3d dd |z9.8o...-.....=.| +00000300 a5 8f 73 10 6e c6 8f c1 8f 22 08 04 00 80 6d 83 |..s.n...."....m.| +00000310 e6 c4 3b 46 ca e0 a6 04 38 45 3b 9a 5c f5 1c 8c |..;F....8E;.\...| +00000320 da ad d7 74 44 f2 20 f4 25 0f 1d 7b 59 9d 89 9e |...tD. .%..{Y...| +00000330 b3 c0 60 a0 28 9d 43 c7 53 71 16 c9 a6 91 7f 5f |..`.(.C.Sq....._| +00000340 ea 7f cb 36 17 65 2c 0c dc 79 47 99 8f bc 61 df |...6.e,..yG...a.| +00000350 c3 72 dc 3b 87 4d 63 35 72 df c2 a3 25 af 72 da |.r.;.Mc5r...%.r.| +00000360 48 d2 10 6d 07 fe 21 4e 06 f8 72 25 60 d4 9b 81 |H..m..!N..r%`...| +00000370 48 a8 54 50 3e 6a 3c 83 19 8a 3d f0 1b 44 ca 63 |H.TP>j<...=..D.c| +00000380 9b af f1 e8 ce 62 51 f5 ae 34 b7 c4 55 6c 16 03 |.....bQ..4..Ul..| 00000390 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) 00000000 16 03 03 00 46 10 00 00 42 41 04 1e 18 37 ef 0d |....F...BA...7..| @@ -82,17 +82,17 @@ 00000020 a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b 2d 4f 9e |.$ >.V...(^.+-O.| 00000030 f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 b6 d7 49 |...lK[.V.2B.X..I| 00000040 a6 b5 68 1a 41 03 56 6b dc 5a 89 14 03 03 00 01 |..h.A.Vk.Z......| -00000050 01 16 03 03 00 28 00 00 00 00 00 00 00 00 a7 36 |.....(.........6| -00000060 98 dc 7b 6e 70 cf d3 dd 1b 83 56 26 5a 13 27 ea |..{np.....V&Z.'.| -00000070 72 15 99 37 45 f3 af 46 46 2f 0b e7 aa e1 |r..7E..FF/....| +00000050 01 16 03 03 00 28 00 00 00 00 00 00 00 00 3d e1 |.....(........=.| +00000060 83 98 13 36 f1 46 54 97 94 f3 79 b4 13 49 af 6d |...6.FT...y..I.m| +00000070 f2 38 d4 5e c4 ce 43 9e 56 c3 3a f3 62 63 |.8.^..C.V.:.bc| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 35 d2 62 52 cb |..........(5.bR.| -00000010 9d 96 e1 d5 97 43 bd 87 8a 6c 73 c9 a7 4c 76 48 |.....C...ls..LvH| -00000020 1a 0e 31 b1 0d 41 55 42 21 a3 c0 3c 78 21 ab 28 |..1..AUB!..>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 b3 ef 22 |..............."| -00000010 9f d5 bf 5d 44 d9 be d9 22 c7 43 9c f5 91 0f b0 |...]D...".C.....| -00000020 ca 9a 52 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..R.............| -00000030 6f e6 ab fb 7d 62 27 35 54 90 b4 3d 3b dd 4d 08 |o...}b'5T..=;.M.| -00000040 31 30 |10| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 64 1f 8a |.............d..| +00000010 9f 8f dd 45 33 48 98 51 ee 7c 41 43 93 ef 1b 01 |...E3H.Q.|AC....| +00000020 f6 ec 37 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..7.............| +00000030 6b d3 04 a0 e3 f2 82 a3 ca d1 cb e4 44 e2 17 10 |k...........D...| +00000040 a4 6d |.m| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 index 8ab8bbbe839..115ef86d00d 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 ae fd 78 5f e5 |....Q...M....x_.| -00000010 77 73 19 b9 3b 45 60 f1 0f c5 c3 53 cb 07 4b c0 |ws..;E`....S..K.| -00000020 a6 77 43 6c 57 0f 2d 31 49 26 85 20 9a e2 99 3f |.wClW.-1I&. ...?| -00000030 07 7d 7d e4 b6 67 fe f1 e3 d1 26 b2 25 00 0c e3 |.}}..g....&.%...| -00000040 1f 94 75 fb af b5 77 81 e6 cd 9c cb 00 05 00 00 |..u...w.........| +00000000 16 03 03 00 51 02 00 00 4d 03 03 50 ba 95 0c fd |....Q...M..P....| +00000010 2c a2 d6 58 47 88 4f 03 c6 67 a9 66 a5 53 01 60 |,..XG.O..g.f.S.`| +00000020 ea 75 94 a4 cc a6 af 8e bf 8b 25 20 bf 55 33 0f |.u........% .U3.| +00000030 ba 66 b6 5c de e2 11 56 34 fe da 3a af b6 c4 47 |.f.\...V4..:...G| +00000040 c0 a5 0d cb 1b dc fd 8c 02 e9 2a a7 00 05 00 00 |..........*.....| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 24 a4 29 2e 09 7f 7b 6e 71 24 2f |.....$.)...{nq$/| -000000a0 63 82 e5 36 d5 b5 9a b9 fd 18 29 b1 e5 c0 bd 49 |c..6......)....I| -000000b0 cc 0a 0a 5a 62 f3 91 ac a7 77 |...Zb....w| +00000090 01 16 03 03 00 24 8b b0 b8 36 2c a0 84 fa 74 c4 |.....$...6,...t.| +000000a0 87 13 1f 9b e9 e6 0b 33 9e b2 1c 3a 14 73 9e 22 |.......3...:.s."| +000000b0 2e ad 56 35 2b d2 20 12 ef 1b |..V5+. ...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 24 1c 13 dd 41 5e |..........$...A^| -00000010 79 bf c1 c2 5c 51 1e 7d 17 34 70 67 12 b6 e3 97 |y...\Q.}.4pg....| -00000020 98 1f 54 a2 ea f4 7b 0d 29 39 85 a0 74 fb c2 |..T...{.)9..t..| +00000000 14 03 03 00 01 01 16 03 03 00 24 a3 c8 a3 5a 50 |..........$...ZP| +00000010 b1 b5 45 e4 1c 15 fa f8 cd ec d2 20 90 01 65 19 |..E........ ..e.| +00000020 4b 92 9f c8 9a 5c 5a 3c c1 3d b1 a9 9b b1 70 |K....\Z<.=....p| >>> Flow 5 (client to server) -00000000 17 03 03 00 1a eb 36 d8 0f 6a 4a 07 18 bd 1a b4 |......6..jJ.....| -00000010 a8 ce b0 b3 12 72 ac e6 d7 73 f6 70 c5 82 87 15 |.....r...s.p....| -00000020 03 03 00 16 d2 13 f2 6f 4e a0 82 bf 8c 34 2c ba |.......oN....4,.| -00000030 99 36 cc c3 b4 2e f8 2a d0 23 |.6.....*.#| +00000000 17 03 03 00 1a 74 af 32 cd cd 6c 35 ce b2 89 fd |.....t.2..l5....| +00000010 92 39 55 22 29 5a 4b 29 74 72 c4 b0 de 27 b5 15 |.9U")ZK)tr...'..| +00000020 03 03 00 16 80 bf 3e e6 7c b3 93 86 36 30 b5 1f |......>.|...60..| +00000030 fe ce 73 a4 4d 65 50 13 f3 ad |..s.MeP...| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce index ab059a0a76d..a46ef2653f1 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 7e ce 3d f6 52 |....Y...U..~.=.R| -00000010 f4 96 b3 c0 84 08 2f 1e ca ec 03 1f 41 7f cf 1e |....../.....A...| -00000020 54 b3 85 b5 57 1c fc 40 77 03 c3 20 e5 89 ba d5 |T...W..@w.. ....| -00000030 20 10 55 f7 63 e6 95 be af dc 6f 29 4e 0b 2f 56 | .U.c.....o)N./V| -00000040 1e 38 62 78 24 cd 7b 75 84 a8 f7 56 cc a8 00 00 |.8bx$.{u...V....| +00000000 16 03 03 00 59 02 00 00 55 03 03 95 08 0c ad fc |....Y...U.......| +00000010 3d f7 56 35 38 50 69 32 7d de cc fc 42 7d 8a 70 |=.V58Pi2}...B}.p| +00000020 7e db 1a 0d 3f 82 16 9d 65 f3 f9 20 dc 67 8c 37 |~...?...e.. .g.7| +00000030 d2 0f e9 5d 25 e4 13 26 a8 61 20 95 2e 6e ac 07 |...]%..&.a ..n..| +00000040 a5 28 40 cf 91 2b d6 e4 29 c8 68 c9 cc a8 00 00 |.(@..+..).h.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,185 +61,185 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 30 8e 06 e5 eb b6 bf |........ 0......| -000002d0 cd 0a a9 21 99 31 10 61 3f 8c d4 52 05 97 59 46 |...!.1.a?..R..YF| -000002e0 90 13 ff d7 5b 10 76 df 0f 08 04 00 80 6f 0c 79 |....[.v......o.y| -000002f0 5b 34 08 89 77 9f 53 a6 11 b4 97 ca 00 61 87 6e |[4..w.S......a.n| -00000300 23 22 90 de ef 7c ea b8 87 85 46 37 ec 21 b2 5c |#"...|....F7.!.\| -00000310 86 fc 9f 23 49 96 13 55 5c bb 59 71 6e dc 48 1a |...#I..U\.Yqn.H.| -00000320 91 9c 94 41 e0 14 4f db ca 05 56 80 82 29 4b 04 |...A..O...V..)K.| -00000330 88 75 5a ab f8 6b b2 39 9f f7 30 ec 08 6e f8 c5 |.uZ..k.9..0..n..| -00000340 24 82 c0 c2 b2 d6 ac 43 2c 02 02 7c 7a a0 98 b7 |$......C,..|z...| -00000350 77 55 97 8b 88 51 57 9e 9b 3e 6a dc 89 92 45 cc |wU...QW..>j...E.| -00000360 62 44 18 7c 33 43 d1 59 47 97 3e a1 9c 16 03 03 |bD.|3C.YG.>.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 98 e7 c3 45 a5 ae a9 |........ ...E...| +000002d0 51 2c 82 8f 3a 43 e0 e6 95 e5 7b 6d a6 76 4b 5c |Q,..:C....{m.vK\| +000002e0 69 ef 4d 9d 4a 2d 81 ef 4d 08 04 00 80 a3 fa b5 |i.M.J-..M.......| +000002f0 c1 1c 3d 73 f3 72 49 34 81 05 07 57 94 43 35 da |..=s.rI4...W.C5.| +00000300 ae 51 51 9e f3 63 b5 be 32 3c 5a cb 16 5f 7d 6c |.QQ..c..2...h.5.@...L.| +00000340 08 ff 99 f7 14 83 fa a7 56 74 33 81 92 ae 4d 2c |........Vt3...M,| +00000350 0e 48 60 13 c1 85 ec 7f 54 57 1d 9c ce e0 09 64 |.H`.....TW.....d| +00000360 0c 0d 89 7a bd a1 26 0a 84 5a f8 27 ea 16 03 03 |...z..&..Z.'....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 78 45 e6 33 94 b7 dd d1 7a b7 b6 |.... xE.3....z..| -00000040 2f 44 87 a5 39 ea 2b 89 25 b3 ab f9 9a b8 b6 76 |/D..9.+.%......v| -00000050 61 8b 4b 3c b6 |a.K<.| +00000030 16 03 03 00 20 38 2d 13 52 78 cb aa 88 90 4c 6f |.... 8-.Rx....Lo| +00000040 ed 16 f1 7b ce 92 8a a1 e6 bb 4a 41 3e 07 fd 1f |...{......JA>...| +00000050 77 9b 9c 07 23 |w...#| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 64 4a ff 6b 60 |.......... dJ.k`| -00000010 46 16 66 3d 3c b1 af 5a 7d b8 48 37 25 f0 58 6d |F.f=<..Z}.H7%.Xm| -00000020 4e c3 a9 e3 19 b9 62 eb 34 68 8b |N.....b.4h.| +00000000 14 03 03 00 01 01 16 03 03 00 20 c0 39 a4 50 78 |.......... .9.Px| +00000010 f9 f2 90 94 9a 37 86 1d 4d c8 cd 97 42 3b 16 f7 |.....7..M...B;..| +00000020 d0 d2 62 fc 24 be cc 5a 35 b6 3c |..b.$..Z5.<| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 91 b8 ed 51 a9 27 90 33 e1 69 99 |........Q.'.3.i.| -00000010 ad 9b 22 2f 2f 77 bb a0 b7 63 47 |.."//w...cG| +00000000 17 03 03 00 16 4d 5e 4c 05 2a 8b 11 05 47 50 ba |.....M^L.*...GP.| +00000010 2a f5 b8 b6 5a 52 ff 84 c3 1b 05 |*...ZR.....| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 a2 ab ac 79 bc 79 15 9c 01 99 38 |........y.y....8| -00000010 68 4b 60 08 01 65 70 cc 14 |hK`..ep..| +00000000 16 03 03 00 14 0d af ce 76 5f 76 d5 fb ff 14 28 |........v_v....(| +00000010 40 89 37 a2 ef ac 05 61 fe |@.7....a.| >>> Flow 7 (client to server) -00000000 16 03 03 01 18 77 9f b1 91 3b ea f3 82 60 1b 66 |.....w...;...`.f| -00000010 bf ed 95 11 bb c2 44 83 5f f6 68 31 b9 3f f5 aa |......D._.h1.?..| -00000020 c4 2d 61 6e 09 a9 52 fa 10 1d e5 2f da bd d5 74 |.-an..R..../...t| -00000030 aa 81 0f 89 50 c9 19 c2 57 0f fb 92 63 f1 5d 2e |....P...W...c.].| -00000040 b0 73 81 90 d4 13 87 0d ab 7f 44 23 34 c4 38 f9 |.s........D#4.8.| -00000050 ac 8d d6 f0 ea 19 00 c3 67 c9 cd bc 22 f1 89 e8 |........g..."...| -00000060 8d 51 9f e2 eb 2e f6 39 cb fd f1 8b 6c 72 d8 c5 |.Q.....9....lr..| -00000070 d5 69 6a d3 06 87 63 61 f6 47 1e 66 f8 28 8b 71 |.ij...ca.G.f.(.q| -00000080 8a a5 82 87 b5 6b 90 19 cb 28 86 41 cc ce ec 7d |.....k...(.A...}| -00000090 bd d2 4c 24 f3 27 93 e4 2c 68 13 3e 13 18 75 12 |..L$.'..,h.>..u.| -000000a0 52 93 75 44 18 d6 b8 a8 c1 7b 17 ab 12 e2 6a cd |R.uD.....{....j.| -000000b0 c8 be c1 d0 53 bb df 5f 14 c4 67 e0 eb 8d 4f dc |....S.._..g...O.| -000000c0 b1 df 64 d8 fa ad 8d 08 77 e8 75 80 dd 8e be 53 |..d.....w.u....S| -000000d0 fc 24 7a 54 e6 b7 54 4e 6d b3 4e 91 1f b7 aa f1 |.$zT..TNm.N.....| -000000e0 48 77 92 88 00 cf 4c ae 95 e3 fb ec 2f 62 4f 4c |Hw....L...../bOL| -000000f0 22 3d 8f 60 1c 7d ec 1b 7e 91 d4 d4 b0 67 7c ea |"=.`.}..~....g|.| -00000100 8b c5 06 11 0e e9 2f dc 93 15 f1 37 a8 55 3f b2 |....../....7.U?.| -00000110 af ce a0 00 1e 70 71 98 d4 69 03 f8 cd |.....pq..i...| +00000000 16 03 03 01 1a 9f ec ca e8 42 1b 54 c2 50 bf 99 |.........B.T.P..| +00000010 98 0d 66 44 d1 27 b7 a5 04 7b d5 6b aa 46 b9 1e |..fD.'...{.k.F..| +00000020 31 66 c8 49 c7 80 c0 01 35 78 3f 80 95 e0 ac 79 |1f.I....5x?....y| +00000030 e0 59 04 fe 6d 2b ca b6 cc 90 ad 38 22 7c 23 0c |.Y..m+.....8"|#.| +00000040 11 a3 4c 48 cb e7 89 7f 1e 64 0b 1d 5b 26 1b c0 |..LH.....d..[&..| +00000050 14 94 d1 a3 1c 93 ab c6 8c c4 42 69 0b 6e a2 e0 |..........Bi.n..| +00000060 df 32 d1 6f a6 1a 64 86 ea 3f b3 ef af 44 ff 83 |.2.o..d..?...D..| +00000070 fa 36 f7 51 78 3d e2 11 06 1c 2c 86 59 a4 ff 95 |.6.Qx=....,.Y...| +00000080 26 74 c9 33 50 ba 21 ab fb da e4 b9 62 86 fd 3a |&t.3P.!.....b..:| +00000090 c2 a0 3b 3e cf ab 11 e4 4b 9b d3 3f cf b2 59 c7 |..;>....K..?..Y.| +000000a0 30 8c 4e 6b be 22 74 66 6b a5 43 f3 b8 58 13 4c |0.Nk."tfk.C..X.L| +000000b0 77 3d c4 84 6a b8 58 5b c2 1b b9 3a 22 f6 06 a4 |w=..j.X[...:"...| +000000c0 53 d7 88 37 06 f5 ed b7 a8 64 8f af e3 08 a8 e4 |S..7.....d......| +000000d0 58 8f 3a 26 8f 99 5d e2 58 3a d1 d6 af 46 98 2a |X.:&..].X:...F.*| +000000e0 22 64 b4 27 00 ed 98 14 7f 22 0c 42 d6 11 79 73 |"d.'.....".B..ys| +000000f0 61 76 8f 26 93 06 bf 5f 8e b0 93 4a 65 16 70 14 |av.&..._...Je.p.| +00000100 7f 98 f2 60 b4 7b f8 58 ae 4a 61 26 eb 1a e3 26 |...`.{.X.Ja&...&| +00000110 a8 2b 4d cd 3e c5 4e 82 8a 17 c6 86 43 fc e1 |.+M.>.N.....C..| >>> Flow 8 (server to client) -00000000 16 03 03 00 81 88 8b 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-00000000 14 03 03 00 11 90 e0 32 12 68 2c 60 39 c2 70 8c |.......2.h,`9.p.| -00000010 0c ba b0 a9 64 84 16 03 03 00 20 a8 74 8d 64 80 |....d..... .t.d.| -00000020 9e 60 54 07 77 4d d8 7b 0a 44 11 99 01 4e c4 b3 |.`T.wM.{.D...N..| -00000030 fd a2 e9 75 cb b8 c3 7d a2 7b 61 17 03 03 00 19 |...u...}.{a.....| -00000040 a2 be ab 94 c8 32 fd 8d f4 ed c2 d7 2a db 74 3c |.....2......*.t<| -00000050 f3 f5 ab 7f 2b 1c 0c 06 b3 |....+....| +00000000 14 03 03 00 11 f0 fa 4f 15 25 3c 35 61 19 b7 ca |.......O.%<5a...| +00000010 47 c5 3c c3 c5 38 16 03 03 00 20 42 b9 ea ab c7 |G.<..8.... B....| +00000020 68 54 79 de 17 51 60 26 f1 8c db 99 a4 30 a4 6d |hTy..Q`&.....0.m| +00000030 58 a6 89 49 bd ba f7 8c ad 97 e3 17 03 03 00 19 |X..I............| +00000040 92 2f ad 63 1a ad f6 5c 64 3c 11 78 3c 02 69 1c |./.c...\d<.x<.i.| +00000050 3d d2 8f 10 61 6f 9f 27 a7 |=...ao.'.| >>> Flow 11 (client to server) -00000000 15 03 03 00 12 22 52 69 40 7a e5 af 10 74 34 bf |....."Ri@z...t4.| -00000010 00 a4 be 30 a0 cf 06 |...0...| +00000000 15 03 03 00 12 fb d8 9d 6c ab 93 38 f8 6c 3d 5f |........l..8.l=_| +00000010 c7 ad c8 b6 b5 90 58 |......X| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice index 71fd2370637..6cf2022c6f2 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 79 18 48 18 02 |....Y...U..y.H..| -00000010 5d af 7f 08 1b e7 8f 54 47 07 f8 b7 3e a2 93 60 |]......TG...>..`| -00000020 e9 c8 28 1f 5a 94 47 b4 5c 63 ed 20 5b e4 15 a9 |..(.Z.G.\c. [...| -00000030 22 f0 6e 85 b1 b3 9a 20 25 32 dd 5a a2 9d 9c 43 |".n.... %2.Z...C| -00000040 a6 08 74 5e 27 ff e5 00 a9 17 04 7a cc a8 00 00 |..t^'......z....| +00000000 16 03 03 00 59 02 00 00 55 03 03 2e 4e b7 07 96 |....Y...U...N...| +00000010 9b 37 75 6e 0b 13 7f 5d 8f 93 7c 9f a7 04 0e e6 |.7un...]..|.....| +00000020 3f b1 04 44 10 58 8f 5e 2b 0a 1e 20 e5 2d e9 7c |?..D.X.^+.. .-.|| +00000030 b3 ad 99 40 d6 67 9a 42 90 fe 7d 70 47 83 02 f0 |...@.g.B..}pG...| +00000040 2f 47 a1 e0 cb 2a 33 19 20 0b 78 6d cc a8 00 00 |/G...*3. .xm....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,284 +61,284 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 97 78 9e 89 3d 65 02 |........ .x..=e.| -000002d0 7f bc c6 a9 c9 08 26 4f 7d 97 11 19 18 a6 45 f0 |......&O}.....E.| -000002e0 ae 82 a8 c2 ad 45 8f 7d 23 08 04 00 80 40 97 95 |.....E.}#....@..| -000002f0 fd 54 aa d4 38 b1 1f 97 ee e4 c6 d2 d5 22 b7 20 |.T..8........". | -00000300 b3 d3 77 f2 ce b6 17 32 8d 3a 0c 40 d5 88 23 2a |..w....2.:.@..#*| -00000310 dd 65 8e c3 af c9 5d 26 f1 86 98 c1 72 fb 4c 88 |.e....]&....r.L.| -00000320 9e c0 63 27 74 c6 e5 71 75 fa 20 20 fe aa 87 14 |..c't..qu. ....| -00000330 05 a7 b7 7a d2 10 ac df 78 19 2b f3 48 b8 5b 11 |...z....x.+.H.[.| -00000340 5e 25 35 de 83 c9 3e 3c d7 36 fd ee 02 d1 3c 0e |^%5...><.6....<.| -00000350 5b a5 86 81 c3 d4 b7 78 21 80 ff e5 c1 68 bd 4f |[......x!....h.O| -00000360 9e d5 9b 11 37 fe aa ed 17 fc 5e ce 89 16 03 03 |....7.....^.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 86 17 3e c2 25 03 2b |........ ..>.%.+| +000002d0 29 ec 69 4d 75 47 8f ed 3d 2d 46 50 62 99 66 63 |).iMuG..=-FPb.fc| +000002e0 62 40 15 a4 13 58 e1 68 2b 08 04 00 80 b2 7e d6 |b@...X.h+.....~.| +000002f0 a2 7c 55 4e 20 2b e6 83 41 30 d7 b2 f7 f0 eb 03 |.|UN +..A0......| +00000300 89 6e 43 22 35 7a ee b4 02 59 02 12 c2 0a 70 e5 |.nC"5z...Y....p.| +00000310 dd 26 24 27 dd 68 95 ea e5 22 74 59 55 94 c0 2f |.&$'.h..."tYU../| +00000320 70 4d 40 8d 5a d8 a7 c3 7a 40 39 65 11 71 f4 87 |pM@.Z...z@9e.q..| +00000330 79 23 43 ff 49 29 0b ae d1 2c d0 4e e3 36 26 cf |y#C.I)...,.N.6&.| +00000340 b6 32 69 4b f9 08 87 0f 2d 5b 22 12 b0 8b ba 55 |.2iK....-["....U| +00000350 18 e3 06 bf 3e 3b 74 01 9f ac 30 73 fb ac c1 40 |....>;t...0s...@| +00000360 b6 12 81 73 d0 0c 57 20 2c d6 a5 91 ac 16 03 03 |...s..W ,.......| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 ef 2f 12 e6 dd 43 33 37 24 fc 47 |.... ./...C37$.G| -00000040 cd 60 61 06 a5 ff 54 cf 37 86 94 62 eb f4 29 8d |.`a...T.7..b..).| -00000050 bf fa 61 6e 01 |..an.| +00000030 16 03 03 00 20 85 06 62 a5 7d 27 7e 5d 5e 8b c5 |.... ..b.}'~]^..| +00000040 fe 0d 25 3e 11 80 1c a5 2a 0c cd e1 c1 4e 46 30 |..%>....*....NF0| +00000050 28 39 2e 40 36 |(9.@6| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 37 25 26 ca a2 |.......... 7%&..| -00000010 80 4e be 20 87 59 5b 13 e4 a2 ce 27 b3 e5 19 2d |.N. .Y[....'...-| -00000020 06 0a ed 9a 59 cd c5 f3 3e fc 2b |....Y...>.+| +00000000 14 03 03 00 01 01 16 03 03 00 20 6d 19 42 de 78 |.......... m.B.x| +00000010 bf 9f 45 c1 9f ac 88 58 94 58 72 c6 7a 08 48 33 |..E....X.Xr.z.H3| +00000020 4b f9 c7 30 6d 54 11 32 25 d4 26 |K..0mT.2%.&| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 95 4a 52 79 2f 83 79 0b bd fd 07 |......JRy/.y....| -00000010 3a b0 3a 53 9d 92 51 56 81 ca db |:.:S..QV...| +00000000 17 03 03 00 16 00 d9 a6 05 34 35 4c 42 63 90 ee |.........45LBc..| +00000010 b4 78 f0 6b e2 a8 09 1c 0e 6e fc |.x.k.....n.| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 7f c3 dc 37 df 2a 53 7d 2d 99 3d |........7.*S}-.=| -00000010 37 05 11 4c 42 54 a6 f2 7b |7..LBT..{| +00000000 16 03 03 00 14 18 81 ed d4 31 73 92 95 44 97 de |.........1s..D..| +00000010 81 a2 ef a2 6b e3 d4 28 d8 |....k..(.| >>> Flow 7 (client to server) -00000000 16 03 03 01 18 e4 cc e6 93 6b e2 dd f7 97 dd 1c |.........k......| -00000010 fd af b0 f2 85 65 3d ec a2 e3 0c 53 b9 1b be d6 |.....e=....S....| -00000020 05 ef 9e ff 99 fc d6 13 6c b3 0f 84 21 12 50 f8 |........l...!.P.| -00000030 88 ce 3b 4e fc e1 35 d6 64 91 d9 e4 70 88 41 61 |..;N..5.d...p.Aa| -00000040 71 1b 67 1d 38 81 bc ed 75 ed b3 a7 b2 40 cb 5e |q.g.8...u....@.^| -00000050 70 c4 66 d9 b5 4b 1d 35 57 85 57 0d 93 dd f8 75 |p.f..K.5W.W....u| -00000060 22 2a 65 53 01 81 a7 35 1a a0 d8 a3 98 b9 75 d1 |"*eS...5......u.| -00000070 de 13 31 3c 96 89 a6 ab 92 f4 d3 dd b3 47 b7 cd |..1<.........G..| -00000080 34 b8 f2 c3 c9 d8 06 90 a5 e2 89 64 73 a0 15 1c |4..........ds...| -00000090 75 f7 e7 66 cb 0f 54 c7 c3 fa 20 c8 68 ad 9d 87 |u..f..T... .h...| -000000a0 7f b5 4c 2f 43 2c e0 2e a3 6c b6 21 f9 08 b1 01 |..L/C,...l.!....| -000000b0 28 6d 61 a3 fd 93 b7 6d 75 bd 81 cc 14 81 a6 d0 |(ma....mu.......| -000000c0 2a 59 3d 6b c9 67 21 a9 84 26 6a bb cd 58 c5 44 |*Y=k.g!..&j..X.D| -000000d0 2d b9 a4 1c 6c 2e 8f bb 04 97 d1 08 32 84 89 8b |-...l.......2...| -000000e0 d6 f7 94 f6 a7 a2 32 d2 24 12 9f 41 18 54 7a 83 |......2.$..A.Tz.| -000000f0 da 2b b1 08 a3 71 ce 8f cc af eb c2 50 3b 7b 4c |.+...q......P;{L| -00000100 0e 86 88 f4 e0 d7 ec e5 e4 f9 38 8e ce fc e6 8c |..........8.....| -00000110 3b 44 42 7b 52 5e 13 68 06 07 47 69 1b |;DB{R^.h..Gi.| +00000000 16 03 03 01 1a 9b 19 97 bb 6b 6b 38 7b 76 f6 f0 |.........kk8{v..| +00000010 3b ae b6 b9 e3 63 39 6e f7 16 62 65 a6 cf 1d 0d |;....c9n..be....| +00000020 99 53 fc 44 01 01 0b b0 1c 5e be db c5 9a cc 57 |.S.D.....^.....W| +00000030 75 8d 32 5b a9 55 96 88 3b 2a fe 2d 66 de 8b 00 |u.2[.U..;*.-f...| +00000040 6a 57 11 dd d5 db 49 f5 4d 74 b4 e9 a8 4d 6d 77 |jW....I.Mt...Mmw| +00000050 34 02 6d e1 01 ce 73 82 b8 0b 69 39 a3 ab 1e 9d |4.m...s...i9....| +00000060 e2 8d db c3 e4 03 82 ce 87 1a 83 80 41 32 16 34 |............A2.4| +00000070 cd 75 0b 67 31 2c 35 6a a1 d6 82 46 44 85 04 dc |.u.g1,5j...FD...| +00000080 1b 16 24 8e 79 0e 12 5c 96 19 20 bb e6 55 12 83 |..$.y..\.. ..U..| +00000090 50 b1 25 3a aa 81 67 56 44 ef 75 fb 39 6a c5 00 |P.%:..gVD.u.9j..| +000000a0 60 60 b4 6b 07 db 9e 19 47 17 f9 65 04 33 54 49 |``.k....G..e.3TI| +000000b0 6a fe 75 a2 0a 31 ec 40 cf b1 34 26 de c2 84 96 |j.u..1.@..4&....| +000000c0 bc be 2d 99 b7 21 7b e3 a1 4b cc 03 9e 64 c4 83 |..-..!{..K...d..| +000000d0 c9 a3 d5 a7 1c 8a b8 87 56 ba c6 a3 82 d1 45 5b |........V.....E[| +000000e0 9b ee ab 8c db ce 12 03 2f bd 25 38 f2 0d b2 47 |......../.%8...G| +000000f0 98 db 63 83 fd 15 97 79 91 42 dc 01 73 d2 98 77 |..c....y.B..s..w| +00000100 0f a5 f8 39 8e 70 60 bf 9b 44 6c 67 0e 17 2c 17 |...9.p`..Dlg..,.| +00000110 2c ce 79 41 69 03 e1 80 c2 9b 13 0f c0 a9 2b |,.yAi.........+| >>> Flow 8 (server to client) -00000000 16 03 03 00 81 5d a4 06 b0 d4 ce 4b 94 ae c6 83 |.....].....K....| -00000010 4e 5f 72 ff 0e 07 34 b3 26 9c e5 2f 5a 05 11 b5 |N_r...4.&../Z...| -00000020 26 df d3 8d d2 4d d1 2a 04 b9 f0 17 4d 0c b1 ef |&....M.*....M...| -00000030 a2 5f f7 48 61 13 8a a1 3d ef 43 21 0e 39 aa 5a |._.Ha...=.C!.9.Z| -00000040 9b 8c 0c 45 2b 02 7a 38 8d af 23 96 7e ff e7 48 |...E+.z8..#.~..H| -00000050 5d ac 9d 72 8f b4 23 07 14 28 79 d8 86 d8 0a 19 |]..r..#..(y.....| -00000060 05 13 b9 29 e4 64 6f 38 be af 22 1a bb 94 ea fd |...).do8..".....| -00000070 e0 df f0 3e c8 15 bc 69 39 19 0e eb 25 7b 1b 66 |...>...i9...%{.f| -00000080 97 1c 3e b4 78 93 16 03 03 02 69 81 04 71 f0 64 |..>.x.....i..q.d| -00000090 6a 18 c5 01 12 69 d1 ae 87 2f 36 5b d3 53 de 79 |j....i.../6[.S.y| -000000a0 5f 68 88 1a 76 bd f7 b6 93 60 66 51 98 da fe a5 |_h..v....`fQ....| -000000b0 81 e4 1a 69 23 21 28 56 0d 47 43 71 d6 37 33 04 |...i#!(V.GCq.73.| -000000c0 7c 73 92 79 d3 82 90 75 69 62 7d 82 f6 e9 67 62 ||s.y...uib}...gb| -000000d0 12 c8 33 00 8f 1f f4 b7 d8 fe ae f4 22 83 98 23 |..3........."..#| -000000e0 fa 09 2e a3 66 3c da 73 ef 6f bf 3b e9 00 33 93 |....f<.s.o.;..3.| -000000f0 f5 26 d1 86 d7 33 2e 20 dc c5 95 d7 87 29 14 07 |.&...3. .....)..| -00000100 61 c2 ae b0 02 ff 6d 99 bf df 02 4e 04 18 48 bc |a.....m....N..H.| -00000110 e6 2a 76 eb 32 80 fe 3a 3a 6d 45 91 be 68 72 05 |.*v.2..::mE..hr.| -00000120 79 d1 37 4e 63 91 32 cb ed 37 86 f5 89 ab 69 3c |y.7Nc.2..7....i<| -00000130 66 ce f4 2d dc e4 09 5a 5e ad c1 0f 03 fd e7 5c |f..-...Z^......\| -00000140 63 50 f8 92 3c 96 a1 a0 34 70 52 e5 85 9e 09 d1 |cP..<...4pR.....| -00000150 9d ce c6 b6 86 e9 a5 f8 d0 28 15 bc 3a a1 14 72 |.........(..:..r| -00000160 72 54 16 e2 c1 b5 88 f5 27 9e e7 5a ea 93 57 21 |rT......'..Z..W!| -00000170 48 2d ce 7e 59 2e c1 a5 14 a2 ae d9 d5 e8 f8 b9 |H-.~Y...........| -00000180 ac 95 56 4c d0 a1 c0 af dc ba 04 81 e5 b6 d4 d1 |..VL............| -00000190 7e ec 52 49 41 34 eb 67 06 6e de 50 e0 85 1c 43 |~.RIA4.g.n.P...C| -000001a0 ed 87 03 37 67 51 91 85 05 93 85 00 74 03 86 b8 |...7gQ......t...| -000001b0 bd 25 d3 1f 85 9b e9 c9 4d d7 ab b4 ff f2 61 43 |.%......M.....aC| -000001c0 d6 42 47 bd 7a 00 29 59 57 7d 3e 30 33 cf 65 f7 |.BG.z.)YW}>03.e.| -000001d0 09 36 af 2c 66 78 82 71 34 18 d7 99 7c e0 f5 81 |.6.,fx.q4...|...| -000001e0 22 ef 74 b6 f4 d3 93 e1 3f f8 98 e4 86 ce 75 a2 |".t.....?.....u.| -000001f0 a4 82 dd 7e 32 42 86 c9 b5 9f 57 da bb 2c cf 52 |...~2B....W..,.R| -00000200 d1 9a a6 d0 a0 e9 21 ba 4f 8d 6c 3f bd b6 4b 24 |......!.O.l?..K$| -00000210 3c d1 05 8f b4 0b 8c 7c 4d b5 40 e0 4f 32 b2 2d |<......|M.@.O2.-| -00000220 b3 97 2b ae 1c c2 7f 92 80 f9 ee 55 cc f4 21 ba |..+........U..!.| -00000230 0a 43 61 7f 19 08 41 78 e4 b8 60 ad ba fd 47 6f 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c7 6b 07 86 b8 4f 04 a1 7b 2a 1d |.u....k...O..{*.| -000000b0 4f 41 b5 06 06 59 04 b0 a0 8e 5e d0 23 41 e0 fd |OA...Y....^.#A..| -000000c0 23 13 3d f7 36 f4 f4 f7 4f c2 84 e9 5b 15 d8 35 |#.=.6...O...[..5| -000000d0 ae 70 aa 08 50 72 8d 62 b0 40 f7 71 2b 4f ac 9b |.p..Pr.b.@.q+O..| -000000e0 1d 9d 45 ba 3a 36 19 31 0e 0d 42 91 7b 08 6e b1 |..E.:6.1..B.{.n.| -000000f0 e3 3c e9 22 8c 0e d9 a0 8b d2 9a 04 5f e5 85 6c |.<."........_..l| -00000100 ea b5 b2 6b 0f 94 68 27 7d d3 4d fc ea 78 42 58 |...k..h'}.M..xBX| -00000110 90 d0 fc 14 36 b4 90 7f 6d 13 f1 3c d3 |....6...m..<.| +00000000 16 03 03 01 1a 8a a5 14 da 8d cf b6 7c c0 4a f6 |............|.J.| +00000010 d8 1a c0 d0 01 ee 83 60 f3 bb 15 0d 4e cd 7e c6 |.......`....N.~.| +00000020 01 b8 c7 2f 49 4c 36 ec 24 3a 1d 1e d5 cd 44 de |.../IL6.$:....D.| +00000030 83 5b 64 5c e9 03 61 90 b3 f8 44 9f 83 c2 fb 95 |.[d\..a...D.....| +00000040 95 94 3b 39 ea 8a fe 07 8d bf 01 b3 3a 9b d0 d7 |..;9........:...| +00000050 71 47 4b c6 4d 4e 59 29 dc c3 24 d3 a4 25 22 43 |qGK.MNY)..$..%"C| +00000060 97 35 c6 43 42 62 c3 82 2a b0 9b a4 d2 17 b3 3c |.5.CBb..*......<| +00000070 a3 f0 00 3c d5 df 81 bf 3c 0d 95 bd 82 32 65 dc |...<....<....2e.| +00000080 6a d8 2c 1f 4d a0 e4 3d 39 63 97 de a7 3c 05 cb |j.,.M..=9c...<..| +00000090 a2 82 59 be e3 4b 1d c9 02 a4 1f 49 36 30 e1 53 |..Y..K.....I60.S| +000000a0 df 00 d9 d4 0a 1d b7 54 80 91 40 e6 fa d3 e3 23 |.......T..@....#| +000000b0 47 c5 8e 84 31 ad dd 8a 88 25 e4 c2 ec 0f fd 90 |G...1....%......| +000000c0 5a 62 13 24 dd 2f ed aa 35 84 71 4e af d3 90 65 |Zb.$./..5.qN...e| +000000d0 43 86 da 4f 26 34 14 63 59 b6 c8 81 dc b6 cc 5e |C..O&4.cY......^| +000000e0 ef 47 8a 99 85 a1 7b b5 fe 8a ae 5b b5 b4 d9 d3 |.G....{....[....| +000000f0 90 bf 5f 18 96 c2 c5 f2 26 82 d8 42 20 cb ab 1e |.._.....&..B ...| +00000100 89 40 6c 77 d9 af bd 7a 94 0c a3 50 f0 9d a0 a3 |.@lw...z...P....| +00000110 c3 e1 ff bc df 94 40 87 8f 25 a4 e9 2c 99 98 |......@..%..,..| >>> Flow 12 (server to client) -00000000 16 03 03 00 81 86 8b 05 dd a6 0b e0 34 15 18 ab |............4...| -00000010 32 3e 6e f5 9c 3c 20 8b a2 51 c3 25 33 45 e3 42 |2>n..< ..Q.%3E.B| -00000020 22 38 e7 81 2f 7b ec a5 10 a7 fe 87 59 31 30 57 |"8../{......Y10W| -00000030 bb 94 92 6e 24 ab 37 fe a5 6f 29 e8 e0 f5 a4 e9 |...n$.7..o).....| -00000040 70 81 54 7c 05 1e a9 ed 3c 7e a4 b3 6a a2 ac 93 |p.T|....<~..j...| -00000050 6f de 39 50 90 c2 61 11 00 b0 b1 83 af ef a3 0f |o.9P..a.........| -00000060 6c 1f c2 8e 27 bb 41 8c 97 bf c3 ad 6d dd 01 cd |l...'.A.....m...| -00000070 9a ec af 3b 7a f6 06 38 7f 93 8b f5 ae 2a 85 2e |...;z..8.....*..| -00000080 ba a3 d9 3d d2 01 16 03 03 02 69 e9 7d 2b ad e4 |...=......i.}+..| -00000090 1b 17 e6 ed bb a7 a1 7a 47 53 b9 cd 2a 3e c3 1e |.......zGS..*>..| -000000a0 64 f6 45 08 7c a5 a6 3d d9 8a 8c 0c ac 0d 36 2e |d.E.|..=......6.| -000000b0 bc 70 c1 39 bb 9b 0f 6c ed f6 4e 2d 78 fc 3e 0d |.p.9...l..N-x.>.| -000000c0 fa 5e 9a d3 00 73 1e 5a 49 73 50 49 68 64 30 3b |.^...s.ZIsPIhd0;| -000000d0 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|p>bA3W...u......| -00000290 8d 44 9f 23 f5 b8 58 89 a9 cc 91 05 a8 ae b1 0b |.D.#..X.........| -000002a0 22 2f 4b 03 61 79 29 df 80 b7 9b 30 67 93 ad 18 |"/K.ay)....0g...| -000002b0 df f0 04 76 6c b2 02 1b e8 19 e1 05 6f b3 49 3e |...vl.......o.I>| -000002c0 c5 c6 1c 80 59 23 bf f3 ae 98 f6 41 08 a1 61 4a |....Y#.....A..aJ| -000002d0 3b c1 6f f2 40 46 5e 3f 28 46 8d 0f a3 64 65 b3 |;.o.@F^?(F...de.| -000002e0 29 67 4d ae e9 5e 39 7a 92 ad 8d 62 d1 cf bf f8 |)gM..^9z...b....| -000002f0 33 99 c8 32 16 03 03 00 bc 6f 3b a8 09 4a 23 dc |3..2.....o;..J#.| -00000300 d9 0b a8 8b 27 ba 4f 8c db eb bd 66 62 80 1d 0a |....'.O....fb...| -00000310 50 fd 8f e4 25 0c b7 90 5e 96 08 5e 17 9d da a5 |P...%...^..^....| -00000320 78 01 07 0c f4 a3 00 ac d1 4e e4 3c 55 30 65 3d |x........N...a..gQ.p| +00000010 77 31 1f 35 cb 56 95 90 69 2f a4 48 86 23 f2 b4 |w1.5.V..i/.H.#..| +00000020 ed 12 3d 72 9a ff cd f4 91 f9 4a d6 55 ef d1 62 |..=r......J.U..b| +00000030 df 38 66 ee 19 c0 3d 29 e3 09 5a b7 7f ba 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08 0d |.t......>...MV..| +00000110 25 34 72 8d c0 b1 b8 86 e3 aa 08 0c 2d 5d 50 f8 |%4r.........-]P.| +00000120 8e 64 2d 2a a4 33 e0 38 75 27 9b 15 60 55 45 dd |.d-*.3.8u'..`UE.| +00000130 e7 62 79 ff c2 1f 70 73 77 3c 32 5a 9e 02 bc 41 |.by...psw<2Z...A| +00000140 37 54 e6 49 5f a0 8a c8 23 df f4 a4 68 bb e9 bb |7T.I_...#...h...| +00000150 34 4c 91 06 3d 82 f7 7f 86 0b 9d cb 99 9c a9 e8 |4L..=...........| +00000160 58 3e f8 a7 55 af 89 05 4b db 2b ea af 84 6f a0 |X>..U...K.+...o.| +00000170 b0 91 04 88 ea f5 d3 64 7e 91 93 b7 95 59 a6 d7 |.......d~....Y..| +00000180 5a 69 8f be 89 df 2b ff 89 b0 1d 25 3e cf 44 02 |Zi....+....%>.D.| +00000190 ae f8 d5 8f 46 45 f9 22 7c 16 e1 6e 07 50 b5 5a |....FE."|..n.P.Z| +000001a0 eb 67 0b 41 67 09 f3 2d c5 a0 b4 fa 91 2e 05 02 |.g.Ag..-........| +000001b0 7e 3e cf 17 9d de 0f 10 8b 0a 52 e3 2a be 19 ac |~>........R.*...| +000001c0 2a 6a ff 7e e0 cf 3f f4 2a 1d 24 5d 77 ff 3a 08 |*j.~..?.*.$]w.:.| +000001d0 99 d1 a1 9a 80 7b d3 7a b9 9a 88 7c 77 ed 3f 9f |.....{.z...|w.?.| +000001e0 1e 0b f6 8b 6d 67 22 9d b9 87 ea 73 64 f8 29 51 |....mg"....sd.)Q| +000001f0 ce 47 97 f8 a2 2c 0b 72 f8 c0 f4 b6 f2 65 a8 72 |.G...,.r.....e.r| +00000200 66 3b 51 8d 49 f1 b5 04 39 2c 41 de 9f 45 89 d7 |f;Q.I...9,A..E..| +00000210 35 7c b0 5f 35 58 b8 ba c2 7c 7f 42 c9 07 bc 84 |5|._5X...|.B....| +00000220 f4 88 5d d4 c6 be 20 c1 1d 4e f1 09 8d 73 07 0c |..]... ..N...s..| +00000230 ec 2a 19 55 84 38 eb b8 03 8b 8a 8f 44 aa 99 d3 |.*.U.8......D...| +00000240 61 2f e6 16 3c 11 94 bb 86 e5 7c c1 93 72 be c2 |a/..<.....|..r..| +00000250 62 8c f7 69 e9 0c 57 3b a4 70 c7 62 df af 84 af |b..i..W;.p.b....| +00000260 99 c9 d4 46 eb 84 a0 ca 26 06 98 26 62 61 4c 7e |...F....&..&baL~| +00000270 80 13 71 17 8a 88 06 36 b5 ce 4e 1a 26 c9 e9 a8 |..q....6..N.&...| +00000280 31 f5 26 03 92 89 fe ea 6a 12 2f d2 3b 0a a0 d3 |1.&.....j./.;...| +00000290 29 f9 2b e2 d5 e1 84 5d 62 20 90 17 bd 60 cf 60 |).+....]b ...`.`| +000002a0 ca 68 29 53 cf e8 b8 bd e7 7b 4f 58 8e 9d 0c 51 |.h)S.....{OX...Q| +000002b0 c7 ee bc b6 95 70 45 1c a7 30 71 ce f5 9e 6c 9a |.....pE..0q...l.| +000002c0 cf 46 46 fa 3d 30 a1 b5 e4 ae fb 1a 5b 2f 71 67 |.FF.=0......[/qg| +000002d0 cc 2c 45 93 55 06 3a f6 d5 0b 4d bf f0 96 0b c0 |.,E.U.:...M.....| +000002e0 58 f5 dc 08 af a9 8f 67 d1 72 c3 eb 4f 64 15 58 |X......g.r..Od.X| +000002f0 cb f4 61 e4 16 03 03 00 bc 66 c4 56 99 77 e5 30 |..a......f.V.w.0| +00000300 52 05 26 88 56 d4 54 da c2 a0 bf 34 e7 59 b9 e9 |R.&.V.T....4.Y..| +00000310 4b 8b e5 80 ac 1e b4 f6 ab ae 66 bd 71 5e 27 64 |K.........f.q^'d| +00000320 ff be a2 21 72 9c 1f db 84 05 26 33 1b db ea 11 |...!r.....&3....| +00000330 93 c2 74 a1 80 71 34 f4 1e de b6 ad bd ed f4 37 |..t..q4........7| +00000340 34 95 48 45 51 31 ca 44 0f 0b f4 df 36 91 3f 6d |4.HEQ1.D....6.?m| +00000350 8a a0 3e d6 2d d1 95 7a ac e0 8c fc 8b 80 57 2b |..>.-..z......W+| +00000360 ac 4a 21 ac 5c db 22 61 1b b4 f0 77 1e 2d b9 57 |.J!.\."a...w.-.W| +00000370 8e 01 ac 55 7b fd 1e e6 dc c0 05 0f ea f8 22 81 |...U{.........".| +00000380 e3 9c b0 44 5a d9 3f 28 84 2d 51 88 12 5a 41 bf |...DZ.?(.-Q..ZA.| +00000390 cc ba 0d 2b f2 74 4f 14 96 1e 5f d6 e1 36 21 b1 |...+.tO..._..6!.| +000003a0 7e 3f 53 c6 4b 57 09 d5 3c a2 97 4d d3 1b 62 9b |~?S.KW..<..M..b.| +000003b0 44 dc c6 6b e7 16 03 03 00 14 ba e2 51 4b 27 34 |D..k........QK'4| +000003c0 e1 ef 32 e4 b3 c4 5f 3a 1a f1 9b 59 ed f7 |..2..._:...Y..| >>> Flow 13 (client to server) -00000000 16 03 03 00 35 d7 8a 7b 29 6c 1f 08 9e cd be db |....5..{)l......| -00000010 3f a8 9c a7 87 75 c4 87 f4 71 39 9a 29 f7 d2 ae |?....u...q9.)...| -00000020 32 3b 9b 82 82 40 d3 71 93 66 42 12 de 88 fc 63 |2;...@.q.fB....c| -00000030 3f f3 7e 5f bd a6 a1 4c 42 4f 14 03 03 00 11 7e |?.~_...LBO.....~| -00000040 75 2b e5 e0 35 c7 3c 38 3e 8d 78 13 f9 b8 f8 54 |u+..5.<8>.x....T| -00000050 16 03 03 00 20 b9 45 8f 49 e6 96 ff a4 3e 86 42 |.... .E.I....>.B| -00000060 b5 59 c9 15 87 f1 86 50 4e 37 51 46 bc 1c fb fa |.Y.....PN7QF....| -00000070 ac 3c e3 85 d8 |.<...| +00000000 16 03 03 00 35 a7 07 ee 57 99 0b fe 5b aa 2b 81 |....5...W...[.+.| +00000010 b3 c8 bb b9 1e d7 93 97 24 89 e6 aa af 0e c8 9f |........$.......| +00000020 d6 a6 16 7e 13 a9 b1 e2 dd 07 e9 2d 30 44 09 0e |...~.......-0D..| +00000030 89 70 1e df ff 5a 0d 0e e5 1c 14 03 03 00 11 1b |.p...Z..........| +00000040 a0 23 e4 2c a9 e1 56 9f df 50 07 3e 69 3b a6 46 |.#.,..V..P.>i;.F| +00000050 16 03 03 00 20 f0 15 c1 8a c5 b0 60 a8 83 a8 b5 |.... ......`....| +00000060 bd 6a 92 33 e9 30 cd 08 c3 cd 35 62 b6 5c 5a 8c |.j.3.0....5b.\Z.| +00000070 ac b2 11 3c 81 |...<.| >>> Flow 14 (server to client) -00000000 14 03 03 00 11 1d fe 35 c6 85 de bb 23 48 f2 79 |.......5....#H.y| -00000010 1d 56 94 88 09 00 16 03 03 00 20 94 03 e0 f2 46 |.V........ ....F| -00000020 1c 90 0f 94 3a 73 ac f4 07 a8 10 5b 8f df 8d 9f |....:s.....[....| -00000030 bb ab 1e ea a1 83 a4 dd 1c 57 a2 17 03 03 00 19 |.........W......| -00000040 c4 5e 6c c3 5e cc 0f 39 c3 7d 9c 92 5d dd 4b c6 |.^l.^..9.}..].K.| -00000050 43 e7 aa 75 8d 0e 98 ab 9c |C..u.....| +00000000 14 03 03 00 11 a8 b9 55 a1 40 42 cb 62 6c 3f 92 |.......U.@B.bl?.| +00000010 0e b5 64 95 46 bc 16 03 03 00 20 c7 0c 53 a5 36 |..d.F..... ..S.6| +00000020 5e 03 ef e2 2c cc d9 e1 33 e3 e3 6b 0c b6 3c a9 |^...,...3..k..<.| +00000030 11 ad 96 f6 01 5f bd 35 3d 50 c0 17 03 03 00 19 |....._.5=P......| +00000040 fc 09 70 96 41 07 0b c5 6a 80 84 d4 f4 14 64 cd |..p.A...j.....d.| +00000050 70 1a ba 04 83 f7 42 b1 57 |p.....B.W| >>> Flow 15 (client to server) -00000000 15 03 03 00 12 0c 6c ea 89 ec 5e 3e 54 b6 67 3a |......l...^>T.g:| -00000010 f7 16 28 50 49 b4 ab |..(PI..| +00000000 15 03 03 00 12 f2 c8 ee f2 b1 8b 81 4f a5 fe 5d |............O..]| +00000010 f0 90 66 2e 87 4e 2a |..f..N*| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected index 4e5db444ff2..8ed63268214 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 9d 05 38 86 e6 |....Y...U....8..| -00000010 49 5b 2b 75 1b 3f 3b 25 e8 42 3a 65 f6 b1 fb 9d |I[+u.?;%.B:e....| -00000020 16 bf bb bc 58 b2 db 18 d9 93 77 20 af 10 44 a0 |....X.....w ..D.| -00000030 5f 08 48 b5 01 0b 7e 11 ff d1 28 94 4b ce 31 a7 |_.H...~...(.K.1.| -00000040 6c 9d 2b a4 a5 e0 7c 9c 2d fe 55 c0 cc a8 00 00 |l.+...|.-.U.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 18 66 0c ad fa |....Y...U...f...| +00000010 c3 87 ec 2b 8e cd e5 03 c9 2f b7 1c bc 89 a4 02 |...+...../......| +00000020 9e d9 7a 80 cf cd d0 55 67 a3 c6 20 ce 3f 8a 77 |..z....Ug.. .?.w| +00000030 ba 29 2e 47 60 49 0d 6b 68 82 8b 9e bc 61 63 a6 |.).G`I.kh....ac.| +00000040 36 9a 70 91 b8 ad 4b e5 f1 3d ef 26 cc a8 00 00 |6.p...K..=.&....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,188 +61,188 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 68 e1 aa 12 19 db 5c |........ h.....\| -000002d0 6c 4b 8a 7d 80 85 96 94 d5 bc 04 90 cc 57 7b 15 |lK.}.........W{.| -000002e0 4d 55 0b a0 b9 14 f5 cb 3b 08 04 00 80 41 38 bc |MU......;....A8.| -000002f0 cc 35 7a f8 0b 2b cc 5f 5b 92 e5 11 1b 2c fc 3a |.5z..+._[....,.:| -00000300 9c 7f 0f d1 cd e4 8d ea 89 6f 74 10 bf 28 2c d8 |.........ot..(,.| -00000310 c4 11 6d a6 9b 95 64 5a 28 56 af b3 1c db 71 06 |..m...dZ(V....q.| -00000320 51 3d a8 d5 65 0d 43 4d c0 8d 1b 75 2a 61 6c 59 |Q=..e.CM...u*alY| -00000330 8b 09 5f 55 2c aa df ed 3d 39 f3 49 ca a7 3d 1e |.._U,...=9.I..=.| -00000340 b7 52 88 a6 4e 1f 8e be 5d 19 bf 5b 00 a3 21 c3 |.R..N...]..[..!.| -00000350 ce 3c 7d 98 6a c3 31 a0 ce a0 f8 90 e3 1a 95 ce |.<}.j.1.........| -00000360 4a 0d 18 db b7 23 4a 58 77 9c 41 40 07 16 03 03 |J....#JXw.A@....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 84 19 78 48 f7 d0 c6 |........ ..xH...| +000002d0 2b 69 fd 20 a5 bc b7 8d 6f cc 48 19 62 87 e7 24 |+i. ....o.H.b..$| +000002e0 26 f4 77 c5 ba 91 24 87 54 08 04 00 80 59 94 8b |&.w...$.T....Y..| +000002f0 7a a6 dc bc cd 17 24 bd f2 c4 42 42 14 3d 77 60 |z.....$...BB.=w`| +00000300 c1 93 ad b7 12 a0 db 46 39 2c 01 55 15 f3 56 8f |.......F9,.U..V.| +00000310 b9 a8 3b 4a f7 48 61 d8 d6 ec 50 9f ae 4c 53 7b |..;J.Ha...P..LS{| +00000320 ed 84 7b 44 b0 8c 98 95 81 2c 6c f4 e5 98 e1 b4 |..{D.....,l.....| +00000330 84 e7 d2 c5 0a 0e 9f 1d 89 bd 6b c6 a4 47 1f c8 |..........k..G..| +00000340 59 84 0a 7a 3d 99 d5 e4 ac d9 0d 72 8d 44 3f ef |Y..z=......r.D?.| +00000350 00 a9 e6 c3 48 a9 c7 58 61 13 6c b7 96 50 60 4a |....H..Xa.l..P`J| +00000360 0d b0 14 36 b1 08 46 2c 64 e2 cd 77 92 16 03 03 |...6..F,d..w....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 f5 4f 35 4f 67 64 eb d8 80 fb f0 |.... .O5Ogd.....| -00000040 f3 80 65 87 5d 6a 15 8f e4 c8 74 e2 ff 7e 03 50 |..e.]j....t..~.P| -00000050 0b 9a 2a 8e 06 |..*..| +00000030 16 03 03 00 20 f1 4f ed 9f 1b e3 a5 d7 49 a7 4b |.... .O......I.K| +00000040 18 3b 47 8f 4c ca 39 3e 40 6a 7b 4b 6f 0e 3e b8 |.;G.L.9>@j{Ko.>.| +00000050 e7 10 af b6 79 |....y| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 6c ee 46 6e a0 |.......... l.Fn.| -00000010 96 c2 28 0e 16 3b 53 23 55 cc 21 f2 fb eb d8 50 |..(..;S#U.!....P| -00000020 63 c0 97 a7 6f 0a 13 1e 5b c2 80 |c...o...[..| +00000000 14 03 03 00 01 01 16 03 03 00 20 ab 5a 7c 14 06 |.......... .Z|..| +00000010 55 b7 d7 29 be c1 63 06 37 14 fd 00 ee 0e c8 a7 |U..)..c.7.......| +00000020 de 9a 1c 54 f4 95 f9 e2 71 12 2c |...T....q.,| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 7d 49 5a 0c 68 d8 08 be d2 24 c6 |.....}IZ.h....$.| -00000010 95 a4 7c 84 0f 1e ce 63 6f 6c f6 |..|....col.| +00000000 17 03 03 00 16 26 4c 80 b3 c5 6e 33 a6 e0 34 9c |.....&L...n3..4.| +00000010 f3 4e 5f 5b ca 34 d5 9b da e1 bd |.N_[.4.....| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 04 1c 05 ce 1a a3 fe a0 29 57 e6 |.............)W.| -00000010 5b aa a0 63 0a 9e 94 15 d9 |[..c.....| +00000000 16 03 03 00 14 2e d5 b8 c5 cc d8 0c 54 0e f9 36 |............T..6| +00000010 ef 57 03 f7 47 2e e5 6b f6 |.W..G..k.| >>> Flow 7 (client to server) -00000000 16 03 03 01 18 94 1c 94 96 e7 cf df 77 8d 87 47 |............w..G| -00000010 55 62 b0 18 0d 5d b6 d3 ab 88 51 ca 86 9b 64 89 |Ub...]....Q...d.| -00000020 44 32 19 6d 1c 0a 25 10 4e 59 55 22 a9 cf c0 f8 |D2.m..%.NYU"....| -00000030 35 dc 7e 71 38 b4 18 6b bc dc 97 84 72 17 b7 b1 |5.~q8..k....r...| -00000040 3f 55 10 49 50 e0 0c 46 a6 a7 35 29 d6 62 32 13 |?U.IP..F..5).b2.| -00000050 fa ed 10 4d 7e e9 16 07 d4 53 7a c5 f5 38 18 fa |...M~....Sz..8..| -00000060 8f 97 ed a7 42 fa 18 96 e0 9c 40 2a 93 56 ca 10 |....B.....@*.V..| -00000070 12 05 ae fb ac 38 00 64 22 4f 3e e8 2a 9a e4 5b |.....8.d"O>.*..[| -00000080 25 7e 65 0d a1 3f 62 7c ea 27 03 29 2d 9a a9 71 |%~e..?b|.'.)-..q| -00000090 92 4d d7 b5 5c b3 2d d3 ed 55 26 b2 c0 6a 01 0c |.M..\.-..U&..j..| -000000a0 39 a1 a9 a9 17 94 6a 5a 64 19 70 d5 c5 a0 38 09 |9.....jZd.p...8.| -000000b0 d6 f2 ad da 88 07 22 40 1f ba 88 5e ff 62 cc a9 |......"@...^.b..| -000000c0 7a 25 79 d3 98 ba 1a 8c 68 2e 8d 47 77 47 8c 94 |z%y.....h..GwG..| -000000d0 f0 14 2e 49 e0 18 a6 3c d6 0a d7 a5 dd 2c 75 85 |...I...<.....,u.| -000000e0 94 06 2d 80 a1 02 87 3e 56 bc 47 ad de cc 20 33 |..-....>V.G... 3| -000000f0 0e 3c da da 80 f0 78 ae 2a a5 af 6a 9d d8 51 f2 |.<....x.*..j..Q.| -00000100 0c 67 38 d4 2e af c2 78 63 3b e9 39 aa 2b 63 f6 |.g8....xc;.9.+c.| -00000110 a2 43 98 9e 38 7b 94 56 39 b5 aa af bc |.C..8{.V9....| +00000000 16 03 03 01 1a 60 c2 2b f9 01 4d 82 0f 74 00 b1 |.....`.+..M..t..| +00000010 2a 99 b4 65 89 a1 6c 65 77 46 d4 6c a0 cf 9a f4 |*..e..lewF.l....| +00000020 42 e6 53 ee 29 ad 46 4f 2f 0a bc e9 36 7a 6e 14 |B.S.).FO/...6zn.| +00000030 c2 2c 29 6c ce 37 94 d2 a1 99 63 0e 44 65 9b 36 |.,)l.7....c.De.6| +00000040 8d 2d 08 71 ba 72 9f cb 99 62 16 2d f8 b2 96 38 |.-.q.r...b.-...8| +00000050 a2 33 c8 7a 55 74 f7 fd 1f bc 95 91 52 76 02 f1 |.3.zUt......Rv..| +00000060 59 df fc 3d 27 3e 2f b1 2c 22 c6 0d 0a d0 e5 1d |Y..='>/.,"......| +00000070 b3 23 9a cd 72 38 fa f5 2b 6b e8 66 37 bb 5a a6 |.#..r8..+k.f7.Z.| +00000080 0d a4 3f 55 55 49 ef 92 54 fc 06 0e 55 b5 80 64 |..?UUI..T...U..d| +00000090 da ac 10 7d 75 aa bd 34 7e e6 b6 18 03 65 c6 7f |...}u..4~....e..| +000000a0 76 65 75 19 d5 1e d8 53 ab 5c 00 05 4b dc 96 dc |veu....S.\..K...| +000000b0 f3 07 95 2e e9 24 bf 96 1b a0 21 39 6f 5f cb 6f |.....$....!9o_.o| +000000c0 1d 43 9f a7 b2 68 81 09 1f 82 18 35 30 ed a4 95 |.C...h.....50...| +000000d0 0a f8 a7 06 e6 ab 66 89 88 bd 45 19 6f eb 79 28 |......f...E.o.y(| +000000e0 7e 75 f8 b3 7d 8a 97 61 13 b6 ca eb bf 83 7f b2 |~u..}..a........| +000000f0 3c 2e a2 02 da 9b d4 86 7f 3b 4b cf 27 dd 64 a8 |<........;K.'.d.| +00000100 0b d5 b4 c6 31 14 f1 d1 e3 4e 80 eb 5e 5f 8c f9 |....1....N..^_..| +00000110 a8 f5 e9 e4 22 76 6f f1 77 b0 5e 79 cd c7 b2 |...."vo.w.^y...| >>> Flow 8 (server to client) -00000000 16 03 03 00 81 36 5f 01 68 fa 51 27 30 c3 4d b0 |.....6_.h.Q'0.M.| -00000010 18 99 68 7a b2 f9 c8 0f a5 1c 6f 7c a5 bd 48 1f |..hz......o|..H.| -00000020 e8 23 59 4d fb df b8 07 4a 0c 0b d0 78 1e 7b 9b |.#YM....J...x.{.| -00000030 d6 71 d5 d3 da 2b 47 b4 3b 83 a3 10 d3 43 17 c7 |.q...+G.;....C..| -00000040 bc 86 44 2e 13 84 d8 6f 62 39 64 9d f3 80 f2 02 |..D....ob9d.....| -00000050 c6 de fe 44 91 88 b4 78 6c 45 e0 e7 f6 d6 dd 9f |...D...xlE......| -00000060 da e1 db f8 b5 2f 33 e3 2f b7 8d f5 ea 92 37 17 |...../3./.....7.| -00000070 cd eb 6b 7b 32 c3 43 37 85 28 43 9f 8d d9 5c b8 |..k{2.C7.(C...\.| -00000080 22 a6 1e 2d 2f da 16 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15 d6 56 47 60 66 a1 fd 8b b9 60 ae 3b |h....VG`f....`.;| +000003b0 16 c7 ff 44 ae 16 03 03 00 4a 15 cc 7c ce bb 82 |...D.....J..|...| +000003c0 16 4e fc fa b9 7e 49 9f e5 b6 8c b0 9d 8e 82 18 |.N...~I.........| +000003d0 66 b6 08 1e e4 8d 78 81 41 dd 07 ae ad 6c 8a d5 |f.....x.A....l..| +000003e0 e0 55 8f 18 92 aa 7c ca 22 c2 39 cb b8 7d c1 04 |.U....|.".9..}..| +000003f0 3a c7 02 1d f5 16 50 5c d7 c5 28 c1 ef bd ab 12 |:.....P\..(.....| +00000400 67 ca df 2b 16 03 03 00 14 d5 ea 8a af 7b 8e 0d |g..+.........{..| +00000410 1f 83 5a cb 38 17 3b 7f e7 fa 35 2a 52 |..Z.8.;...5*R| >>> Flow 9 (client to server) -00000000 16 03 03 02 69 b2 84 8a 28 fb 81 b7 0d c2 95 9d |....i...(.......| -00000010 5b 98 55 50 5b fb 32 17 8d 6d f5 b8 de 55 80 fe |[.UP[.2..m...U..| -00000020 2e 94 11 82 89 e3 d7 f6 bd 47 19 bb a0 aa 40 23 |.........G....@#| -00000030 2d 08 52 90 9b 06 4f b2 60 e9 8f 84 bd 6d 1c 75 |-.R...O.`....m.u| -00000040 68 c3 b2 cd 9d 87 1d 8e 92 ce fa 5b 77 4f 35 17 |h..........[wO5.| 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X..... | -00000360 b2 b3 0e 3d 01 75 82 df 98 02 97 21 2f 05 3c 6b |...=.u.....!/......rB.n| +00000010 eb ce d5 17 0d c5 84 ba 7b 2d 97 c0 92 87 9c a7 |........{-......| +00000020 e5 4e 37 45 ee e7 24 d2 a4 56 92 ad a4 3b 09 ac |.N7E..$..V...;..| +00000030 4d e2 39 79 ef 4d 8b 35 0c 7c 71 f2 fe dc 81 0b |M.9y.M.5.|q.....| +00000040 19 26 a3 d1 13 cd c2 e5 26 cf 32 c5 dd 07 27 3a |.&......&.2...':| +00000050 bf 20 8b 85 81 26 13 31 5d ca 13 6d e6 18 b3 a2 |. ...&.1]..m....| +00000060 86 8c cb 8b 7e 34 62 a2 09 ab a6 2e ac 89 9b 9f |....~4b.........| +00000070 5b fa 7e f4 6a 87 b7 8f d0 48 f4 2d 7c 2d 62 11 |[.~.j....H.-|-b.| +00000080 eb 23 dd c3 91 83 48 f9 be 84 75 b7 f0 30 52 fe |.#....H...u..0R.| +00000090 60 a3 71 e9 1b 58 8c 48 c0 42 45 c0 6e ca 52 f9 |`.q..X.H.BE.n.R.| +000000a0 4d 92 eb d4 9a 06 76 e3 2a 88 7f ce 93 f2 e9 fd |M.....v.*.......| +000000b0 9a f9 52 bb 66 db 59 c2 ef 26 3f b2 1e 81 da d0 |..R.f.Y..&?.....| +000000c0 28 99 63 31 b7 f8 9b 66 3d e7 11 fb 77 62 08 19 |(.c1...f=...wb..| +000000d0 73 a2 03 b6 38 a4 15 16 9e 38 ca 45 3d 30 f8 01 |s...8....8.E=0..| +000000e0 bf c4 f8 11 7b 06 65 ce ea 09 0c 43 57 01 9d 20 |....{.e....CW.. | +000000f0 2b 5b a9 a4 c4 ca fd f8 7f 9d ef 0d f4 db 5d 96 |+[............].| +00000100 8d 01 83 0b 56 0c 90 5b a1 39 7c 84 65 5d c3 ef |....V..[.9|.e]..| +00000110 04 5c 54 87 e4 ff e8 2a e3 96 32 fc 7d ac 7a 57 |.\T....*..2.}.zW| +00000120 0b 72 81 cd 20 9e db 37 27 f3 ec b3 d2 04 3a 5f |.r.. ..7'.....:_| +00000130 b1 06 0f 30 45 62 58 b2 f8 a2 1f 89 cc e6 4f ee |...0EbX.......O.| +00000140 81 d4 3d 92 e8 c0 0b 8e 9f 68 d8 4b 7f 26 d7 31 |..=......h.K.&.1| +00000150 b0 8f 53 bc 60 93 d6 c3 9d 66 98 da a4 63 45 fc |..S.`....f...cE.| +00000160 5e 5a 5e 24 c5 a3 56 f9 1c 91 02 f7 c5 bc 4a 76 |^Z^$..V.......Jv| +00000170 43 65 63 4b 88 cb 1f 93 af eb 06 cd 34 49 d2 50 |CecK........4I.P| +00000180 d1 33 df a1 6c 16 03 fe f4 3a 17 f3 50 33 1d ea |.3..l....:..P3..| +00000190 c1 26 85 36 e8 d9 37 80 dc f7 d7 5b 5b 24 19 93 |.&.6..7....[[$..| +000001a0 56 2d 5f a6 e6 48 24 46 a0 95 43 79 bc 1b 60 d6 |V-_..H$F..Cy..`.| +000001b0 1f bd fd 27 80 83 86 d0 5a 0e 36 cb 7a d7 98 05 |...'....Z.6.z...| +000001c0 59 79 ad c4 de df 14 07 65 79 d8 6c a8 1a a0 00 |Yy......ey.l....| +000001d0 58 fc 63 59 1c 98 be 6b 3d 3b 81 bf 9c ac 93 a6 |X.cY...k=;......| +000001e0 46 79 45 71 36 2e 2b 3e b8 ac ff 7b 8d 6e 77 ad |FyEq6.+>...{.nw.| +000001f0 b1 10 74 cb fe 71 f6 e6 06 a3 e2 7c 5f 71 c6 2d |..t..q.....|_q.-| +00000200 ca 51 38 40 79 ef 3c 28 d3 d5 5d 17 aa 57 48 b4 |.Q8@y.<(..]..WH.| +00000210 00 a1 71 d9 e1 f9 2f 62 76 f4 74 62 8a 54 d1 86 |..q.../bv.tb.T..| +00000220 dc 94 b8 96 a4 47 6e f9 b3 20 b5 9d 55 00 1f de |.....Gn.. ..U...| +00000230 cf ae 9a 9f 29 92 7d c9 8e f8 f7 f5 8c 05 4f ac |....).}.......O.| +00000240 5d a8 0b d0 eb d3 bf 43 7e b3 1b 5e e3 9e 2e be |]......C~..^....| +00000250 09 95 15 f7 f9 02 52 b7 22 3e ea d4 ec 7d 3e 4b |......R.">...}>K| +00000260 47 f5 1b ef d9 75 a4 a1 56 9a be 4f ae 96 16 03 |G....u..V..O....| +00000270 03 00 35 64 bf 1b 12 01 c5 5a 02 e9 a1 3d 05 68 |..5d.....Z...=.h| +00000280 d4 cd e5 53 71 ca b8 64 b8 81 69 12 d1 01 2b 06 |...Sq..d..i...+.| +00000290 4b c2 84 f8 72 79 c6 73 00 5c 1f a3 5d 53 1c 21 |K...ry.s.\..]S.!| +000002a0 71 5d 68 0c 62 7e 28 c0 16 03 03 00 98 ec c1 c0 |q]h.b~(.........| +000002b0 3c cc c0 5e 79 39 43 51 9c d2 e2 ca 33 d7 b7 ab |<..^y9CQ....3...| +000002c0 a7 3c 85 35 b0 aa e9 5d ab c7 a8 56 0f e4 d4 14 |.<.5...]...V....| +000002d0 62 12 19 3d e4 28 36 da 32 f5 5e 89 cf c6 73 f6 |b..=.(6.2.^...s.| +000002e0 24 79 27 e9 5e c7 6b 53 a3 ce 40 fc c5 20 97 1d |$y'.^.kS..@.. ..| +000002f0 a5 60 52 a1 6b f8 97 f6 d0 d8 9a 3f a4 d6 48 15 |.`R.k......?..H.| +00000300 34 9a e1 e1 ec 7b 12 12 c2 9a e3 fb 69 c8 ae e9 |4....{......i...| +00000310 50 53 4e de c2 2e 2e a5 7e 78 ba 10 59 bb aa 4f |PSN.....~x..Y..O| +00000320 46 05 63 c0 3a 81 26 b5 8a 4c 93 cf 5f b2 d0 f0 |F.c.:.&..L.._...| +00000330 d4 b4 61 61 a3 b5 ef f3 7f 17 44 05 79 00 fd b9 |..aa......D.y...| +00000340 df 59 da 3b 7a 14 03 03 00 11 6e 50 0b ba 96 d8 |.Y.;z.....nP....| +00000350 9f 92 f9 2d b9 56 3a 3f 3d 1a 68 16 03 03 00 20 |...-.V:?=.h.... | +00000360 e7 05 fd a2 37 bd 8b 7f 82 a1 65 ef 28 e5 4d cf |....7.....e.(.M.| +00000370 5e 97 06 5f 97 b8 c0 70 66 2d 19 1a a6 31 ed 47 |^.._...pf-...1.G| >>> Flow 10 (server to client) -00000000 14 03 03 00 11 e4 21 1f 14 b1 82 96 5f b2 c2 d4 |......!....._...| -00000010 d5 fd 8c 48 a3 6a 16 03 03 00 20 bb ae b2 8e 08 |...H.j.... .....| -00000020 da b1 3d 08 51 71 6b 17 8f 43 6f 74 c3 38 4c 8a |..=.Qqk..Cot.8L.| -00000030 e1 6f 34 0f cf 72 6e a7 0b 4c 38 17 03 03 00 19 |.o4..rn..L8.....| -00000040 f8 39 d2 d7 26 f4 aa 91 c0 e2 5a 2b 63 ed 10 67 |.9..&.....Z+c..g| -00000050 11 02 13 14 ec d4 de e0 f2 16 03 03 00 14 02 03 |................| -00000060 e3 81 88 34 80 d8 0e ed 6a 8f f7 4a 06 36 a6 5b |...4....j..J.6.[| -00000070 c4 7e |.~| +00000000 14 03 03 00 11 bb a9 73 b5 07 d3 da 0a 69 d1 77 |.......s.....i.w| +00000010 5c 69 49 5f 76 ff 16 03 03 00 20 76 c0 84 78 ad |\iI_v..... v..x.| +00000020 9e 64 25 14 e0 7e ad 6c 26 88 6a ae c6 44 a2 a8 |.d%..~.l&.j..D..| +00000030 44 42 d3 35 28 96 a2 94 fa 3a 95 17 03 03 00 19 |DB.5(....:......| +00000040 13 4f c8 0a 3b e1 04 c4 60 74 14 fa 25 f7 19 8a |.O..;...`t..%...| +00000050 f6 99 df 68 0d c3 f5 da 55 16 03 03 00 14 ec 43 |...h....U......C| +00000060 19 4a 28 d9 a4 65 24 51 d8 53 99 44 6c 0d d7 75 |.J(..e$Q.S.Dl..u| +00000070 9c 80 |..| >>> Flow 11 (client to server) -00000000 15 03 03 00 12 f3 d6 b0 19 af 92 23 c9 40 c0 3c |...........#.@.<| -00000010 cf 95 ef bf 18 9e 5a 15 03 03 00 12 49 c0 db 29 |......Z.....I..)| -00000020 9d 09 13 ff dd 1b 7e ee 0f 8b 90 ae 89 02 |......~.......| +00000000 15 03 03 00 12 d1 32 db 69 4e 16 37 7d 15 f2 c0 |......2.iN.7}...| +00000010 3c 63 3c a0 fb 75 1a 15 03 03 00 12 6f 93 08 62 |>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 77 32 21 e7 af |....Y...U..w2!..| -00000010 e4 9f a7 76 0d 0f d1 9f c8 16 73 ea 24 db fc 5b |...v......s.$..[| -00000020 fc bb 51 a8 13 35 77 c7 a4 e1 ab 20 3b b3 03 6d |..Q..5w.... ;..m| -00000030 4d fd 39 e2 8e 9a 5e 8c b6 79 17 47 20 ae 49 eb |M.9...^..y.G .I.| -00000040 73 bb 14 90 33 42 59 35 7e 34 e4 41 cc a8 00 00 |s...3BY5~4.A....| +00000000 16 03 03 00 59 02 00 00 55 03 03 24 5b 1c ac d1 |....Y...U..$[...| +00000010 28 10 d9 9e 83 d6 d8 61 a2 9e 85 2b 87 0f 28 70 |(......a...+..(p| +00000020 c6 a3 72 f6 62 a9 a7 e9 25 a4 a9 20 94 66 28 3e |..r.b...%.. .f(>| +00000030 02 a6 71 a0 b4 d5 8c 73 21 ef a0 22 ff 98 bd 36 |..q....s!.."...6| +00000040 36 fa e0 1d 5f f9 a9 a7 78 29 5c e4 cc a8 00 00 |6..._...x)\.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 cb db a1 85 dd 90 3f |........ ......?| -000002d0 b7 7e 1a 1d bc f5 9f 6d b7 58 81 2d 8c 3d 07 1d |.~.....m.X.-.=..| -000002e0 5f ac 6f 0e 5f ed 9c f1 54 08 04 00 80 0e ee 8a |_.o._...T.......| -000002f0 62 fc 49 4c c2 34 45 3d 0e 63 9b 9a f4 3c 4c c6 |b.IL.4E=.c...>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 af cd 02 f2 bc 4d ca 7b fe b4 71 |.... .....M.{..q| -00000040 fe 99 ae 18 ad ff ad 5d c9 48 48 5f 8e b8 58 84 |.......].HH_..X.| -00000050 63 20 eb 6d 5b |c .m[| +00000030 16 03 03 00 20 d9 21 c7 b7 b3 db 5c 50 58 75 5c |.... .!....\PXu\| +00000040 b3 22 11 c2 b7 39 c3 65 18 51 07 15 1c 00 66 97 |."...9.e.Q....f.| +00000050 3b 24 6b fa bf |;$k..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 f6 fe 9a 99 28 |.......... ....(| -00000010 cb ab 63 b2 2a 9c 08 ad ee c0 9e d3 1f 14 b3 65 |..c.*..........e| -00000020 7f f1 e5 bb 8f e9 18 5a 54 ec 09 |.......ZT..| +00000000 14 03 03 00 01 01 16 03 03 00 20 b8 76 78 41 8e |.......... .vxA.| +00000010 44 3c 47 e1 cd c7 51 19 ee 33 24 f1 5f 78 0f cf |D>> Flow 5 (client to server) -00000000 17 03 03 00 16 30 fa c6 ae e4 c5 56 11 a9 ca bd |.....0.....V....| -00000010 8f 74 dc 6f e6 8b 15 5a e3 7f 76 |.t.o...Z..v| +00000000 17 03 03 00 16 39 af 11 be 9c e5 35 64 03 b3 2b |.....9.....5d..+| +00000010 ca ce 43 dc 3a 0b 97 ae 73 b9 93 |..C.:...s..| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 d6 0d 01 4c fb 29 97 a8 c7 95 a9 |........L.).....| -00000010 54 85 9d f0 3c 25 7f d0 63 |T...<%..c| +00000000 16 03 03 00 14 af 66 f1 53 c5 5b e0 db 7c 15 d6 |......f.S.[..|..| +00000010 53 35 b0 cd 61 1d 9b 8a 31 |S5..a...1| >>> Flow 7 (client to server) -00000000 15 03 03 00 12 86 5c c9 56 84 54 8b 2d 54 2d dc |......\.V.T.-T-.| -00000010 47 48 ba ae be be 43 15 03 03 00 12 eb 65 ee dc |GH....C......e..| -00000020 d3 40 22 f2 ed f4 d2 a2 aa ce 82 bc 54 6e |.@".........Tn| +00000000 15 03 03 00 12 12 fd 02 6c 35 78 bb 98 1d 27 fc |........l5x...'.| +00000010 27 9f 11 b6 62 ef 67 15 03 03 00 12 01 12 1a a7 |'...b.g.........| +00000020 a6 b4 e7 b3 c6 49 94 74 73 9b dd 9c 7e a9 |.....I.ts...~.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-SCT b/src/crypto/tls/testdata/Client-TLSv12-SCT index 1ef1a5f2ef7..688281da9e0 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-SCT +++ b/src/crypto/tls/testdata/Client-TLSv12-SCT @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 01 c6 02 00 01 c2 03 03 ab 20 53 6d 82 |............ Sm.| -00000010 50 11 b7 25 ce ea 01 dd dd 5c 09 a4 c1 d2 58 37 |P..%.....\....X7| -00000020 19 9f 89 b7 e2 78 9e 8c 3d ef 15 20 4a 49 7f 02 |.....x..=.. JI..| -00000030 5d 76 ae a7 af f6 7b d0 b1 65 9e 85 91 34 88 c5 |]v....{..e...4..| -00000040 4b 6a 24 77 7f 7d 54 a7 7f 73 e1 d4 cc a8 00 01 |Kj$w.}T..s......| +00000000 16 03 03 01 c6 02 00 01 c2 03 03 a8 cd f3 5f 92 |.............._.| +00000010 88 fb 30 da 64 6b e6 5c b6 c1 6f f6 8a 6c 10 80 |..0.dk.\..o..l..| +00000020 d4 09 4c c6 13 f3 3a bf 95 f6 6e 20 ed e7 97 87 |..L...:...n ....| +00000030 69 9d fd 42 e8 8b be 4d 2b 0f 09 0a d3 c9 83 49 |i..B...M+......I| +00000040 18 2a 9c 59 59 37 49 15 dd d1 d7 51 cc a8 00 01 |.*.YY7I....Q....| 00000050 7a 00 12 01 69 01 67 00 75 00 a4 b9 09 90 b4 18 |z...i.g.u.......| 00000060 58 14 87 bb 13 a2 cc 67 70 0a 3c 35 98 04 f9 1b |X......gp.<5....| 00000070 df b8 e3 77 cd 0e c8 0d dc 10 00 00 01 47 97 99 |...w.........G..| @@ -84,31 +84,31 @@ 00000400 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d ae db 46 |.....@.a.Lr+...F| 00000410 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db fe 3d 13 |..M...>...B...=.| 00000420 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -00000430 00 a8 03 00 1d 20 3d 7e 6d ce 37 d9 44 90 d6 3e |..... =~m.7.D..>| -00000440 de d4 4d ec 85 b8 48 1f e5 60 e8 3b e4 e0 d3 f4 |..M...H..`.;....| -00000450 42 e6 25 be 9a 28 08 04 00 80 64 a3 c6 14 e2 81 |B.%..(....d.....| -00000460 d5 0a 1e 21 78 e4 38 5d 47 23 af 65 24 c8 ab 90 |...!x.8]G#.e$...| -00000470 32 c3 b4 da e3 03 0c 81 73 9b e9 6e 47 6b f3 5b |2.......s..nGk.[| -00000480 df 6f 41 2e b1 10 55 c9 0e ae a2 7f 9b 01 2b b0 |.oA...U.......+.| -00000490 da f7 0c dd 41 c0 8e 40 c8 4a 3e ff de 6d b6 2f |....A..@.J>..m./| -000004a0 25 74 75 f4 4d 20 21 0c 36 63 9f ef 21 ad 05 49 |%tu.M !.6c..!..I| -000004b0 04 5e 8f f6 63 92 56 4a bf 91 97 94 78 ba 93 10 |.^..c.VJ....x...| -000004c0 ff 33 22 52 bb 2c 63 aa ed 04 17 18 8b bc 62 21 |.3"R.,c.......b!| -000004d0 38 21 d6 e4 be 68 c4 2e 7d fb 16 03 03 00 04 0e |8!...h..}.......| +00000430 00 a8 03 00 1d 20 2c 61 73 b4 4c c2 43 fd 1b a9 |..... ,as.L.C...| +00000440 fa ff e0 66 c0 fa 6c 5f 14 63 83 00 66 79 6b 9c |...f..l_.c..fyk.| +00000450 e7 68 2b 91 95 27 08 04 00 80 d3 97 5f 27 ec f6 |.h+..'......_'..| +00000460 12 e3 4a 56 dd 6b 84 ce 66 7c ce 62 84 0f 48 9c |..JV.k..f|.b..H.| +00000470 c2 da cd 46 e0 08 fd b4 c2 16 c1 bd 8f 7b 22 a5 |...F.........{".| +00000480 9b d6 de 38 a6 df 5a 17 2a 70 bb 84 3a 5b 61 a9 |...8..Z.*p..:[a.| +00000490 5e a8 f9 f0 7f e7 21 dc 4d d7 76 66 f9 04 a1 ba |^.....!.M.vf....| +000004a0 a8 d7 9d a6 bf c0 43 52 18 2c 82 e3 a2 54 d7 eb |......CR.,...T..| +000004b0 23 ca b8 6a 99 9a 9f eb 5f 4b 2b 01 e1 7a 59 5f |#..j...._K+..zY_| +000004c0 b1 d5 f1 b1 51 f8 3e c5 73 53 95 df aa 05 b4 75 |....Q.>.sS.....u| +000004d0 c1 4c 45 6f 81 c2 a1 e2 64 3f 16 03 03 00 04 0e |.LEo....d?......| 000004e0 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 a2 9f e5 f0 89 13 37 dd eb 9b a0 |.... ......7....| -00000040 4b 51 63 78 99 3c 74 4f b7 89 57 00 02 42 41 af |KQcx.>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 1a 17 41 1b 4b |.......... ..A.K| -00000010 9d ea d9 7a 58 63 86 37 1f 3b e3 e9 97 f1 a2 04 |...zXc.7.;......| -00000020 ae 8c ce c4 47 4e 68 a9 ed c7 ae |....GNh....| +00000000 14 03 03 00 01 01 16 03 03 00 20 7d d0 c7 ff 0d |.......... }....| +00000010 08 e8 05 fa 72 1b 7d 26 2d 92 48 e4 f6 8e 2b 67 |....r.}&-.H...+g| +00000020 8e bc da b9 80 fd 86 2a bb 77 93 |.......*.w.| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 4a c2 dd 3a 9f 2e c6 21 90 63 85 |.....J..:...!.c.| -00000010 75 a9 3f 1a 66 4b c2 0a e2 8a 49 15 03 03 00 12 |u.?.fK....I.....| -00000020 3e 38 93 36 05 16 ac 1f 56 4f d1 6e 95 66 31 3c |>8.6....VO.n.f1<| -00000030 e7 b0 |..| +00000000 17 03 03 00 16 4a ae b2 40 90 b8 15 8c 3a 77 90 |.....J..@....:w.| +00000010 90 c6 ff 73 46 aa 3b 96 66 e2 4f 15 03 03 00 12 |...sF.;.f.O.....| +00000020 29 52 92 de 13 14 04 53 7b 90 79 9b 7c 3d ad 83 |)R.....S{.y.|=..| +00000030 5b f9 |[.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE b/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE index 2073676b629..5084bbe6ca6 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f6 01 00 00 f2 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 f8 01 00 00 f4 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,20 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 77 00 05 00 05 01 00 00 00 00 00 0a 00 |...w............| -00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1c 00 |................| -000000a0 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 fe 61 ff 01 00 01 00 |..........a.....| -000000c0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| -000000d0 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 |..3.&.$... /.}.G| -000000e0 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| -000000f0 c4 cf c2 ed 90 99 5f 58 cb 3b 74 |......_X.;t| +00000080 01 00 00 79 00 05 00 05 01 00 00 00 00 00 0a 00 |...y............| +00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1e 00 |................| +000000a0 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff 01 00 |..........a.b...| +000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| +000000d0 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d |....3.&.$... /.}| +000000e0 a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 |.G.bC.(.._.).0..| +000000f0 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |........_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 fe b5 a7 8f 34 |....Y...U......4| -00000010 1c 01 64 3a 96 9a 9a 42 44 36 3e cb e3 76 a7 4f |..d:...BD6>..v.O| -00000020 e7 ed 7f 2d d3 a8 ed 76 0c 1b a6 20 bf ca 08 65 |...-...v... ...e| -00000030 98 08 a2 72 59 38 05 31 a8 43 0a 15 c5 cd 36 b4 |...rY8.1.C....6.| -00000040 fa eb 60 7e ba 38 48 80 9b ae 76 9e c0 2f 00 00 |..`~.8H...v../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 eb ea 5b a3 24 |....Y...U....[.$| +00000010 47 5b 19 4a 46 f4 a1 c4 19 fb f6 ae e1 a1 74 c3 |G[.JF.........t.| +00000020 14 fc 35 1a 22 a4 22 9e 05 46 e6 20 0e 14 cb ed |..5."."..F. ....| +00000030 f8 70 a3 b4 77 48 4b 7f a7 40 63 31 2e 26 39 b5 |.p..wHK..@c1.&9.| +00000040 99 6e 08 4b eb 18 a7 72 ec c7 95 21 c0 2f 00 00 |.n.K...r...!./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,33 +60,33 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 8e 2c ae 15 28 88 f5 |........ .,..(..| -000002d0 de b9 b8 ca c1 b0 03 b6 95 a9 00 04 5c eb 8b 6a |............\..j| -000002e0 47 10 90 a0 be 92 19 40 18 08 04 00 80 86 60 cc |G......@......`.| -000002f0 68 b9 ed ed 27 9b 73 05 41 b4 6f 73 11 18 52 51 |h...'.s.A.os..RQ| -00000300 c0 bf a9 b9 1b 8b 50 50 9d 14 41 6c 60 00 8a ea |......PP..Al`...| -00000310 fc ca 41 db a4 2a 91 63 38 ac 1f c3 0c f8 a3 c7 |..A..*.c8.......| -00000320 b5 8d db ee f2 00 15 e3 c1 58 20 77 6f 26 4a 71 |.........X wo&Jq| -00000330 d4 6c b4 92 be 78 f6 d6 47 c7 95 20 df e8 9f 79 |.l...x..G.. ...y| -00000340 bc 61 d8 5c 81 db ff 40 cd b0 8b b1 ed c3 ce 70 |.a.\...@.......p| -00000350 81 9d 1d 46 86 6b 5f 87 54 00 9a b8 14 db d2 3f |...F.k_.T......?| -00000360 5c ec aa 7c c2 5d aa 1c 2b fd f3 be 26 16 03 03 |\..|.]..+...&...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 d4 ff e3 74 d0 5a ca |........ ...t.Z.| +000002d0 8e e1 46 8f e9 b3 89 0f 9f 84 25 92 bf 0d 6a 4f |..F.......%...jO| +000002e0 ff 3e 9a a7 0d ba 55 0b 27 08 04 00 80 7c b3 f8 |.>....U.'....|..| +000002f0 ce 05 50 32 50 8f a8 f1 43 ae 3a 06 0a 31 22 b8 |..P2P...C.:..1".| +00000300 58 38 16 26 3c b2 88 90 ec d9 5c 65 fe 71 8c 7c |X8.&<.....\e.q.|| +00000310 e1 02 e3 27 a9 52 76 45 fa 0d ac 33 a5 89 53 8c |...'.RvE...3..S.| +00000320 71 50 cf a4 78 7c 92 81 b2 5b 4d 38 3c 4a 19 aa |qP..x|...[M8>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 eb 52 a3 |....(.........R.| -00000040 9c a7 51 08 cc 99 b2 20 c3 83 52 01 2a 56 bd c2 |..Q.... ..R.*V..| -00000050 6a ab 20 f3 fc f6 00 b9 ab 86 6b 95 62 |j. .......k.b| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 5f 61 87 |....(........_a.| +00000040 c8 07 ba 8b 35 69 94 e0 c8 3e 51 e9 03 ab 2e c2 |....5i...>Q.....| +00000050 cd 1e 7b cb 19 47 20 eb a3 10 7a fd 5c |..{..G ...z.\| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 75 1c af 50 91 |..........(u..P.| -00000010 4d 97 a5 46 6f 84 9b f2 25 87 7d 12 72 ee 53 21 |M..Fo...%.}.r.S!| -00000020 8e 22 74 0e df 7f c2 c6 9a 73 c9 96 0d 9c da 92 |."t......s......| -00000030 27 2f 72 |'/r| +00000000 14 03 03 00 01 01 16 03 03 00 28 40 15 69 b9 41 |..........(@.i.A| +00000010 6d 91 8a 32 f0 e3 74 79 02 b5 cb 92 fa 93 23 7d |m..2..ty......#}| +00000020 c9 28 3a 33 66 b7 90 1e 6d dc 82 bf 53 8e 52 c4 |.(:3f...m...S.R.| +00000030 10 b1 5d |..]| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 c7 32 b2 |..............2.| -00000010 11 74 14 e3 84 bc 8e a0 c5 69 b3 f0 54 b1 4d e5 |.t.......i..T.M.| -00000020 7a 45 9f 15 03 03 00 1a 00 00 00 00 00 00 00 02 |zE..............| -00000030 7f ca 55 39 2e 43 b1 82 a2 fc a6 4a c5 f7 54 e9 |..U9.C.....J..T.| -00000040 31 b9 |1.| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 fa 39 43 |..............9C| +00000010 1e ec ca f3 11 02 ea 48 bb df 7d c5 30 b4 3b 77 |.......H..}.0.;w| +00000020 7e 3c 3d 15 03 03 00 1a 00 00 00 00 00 00 00 02 |~<=.............| +00000030 ac c0 8b 3d 3d 64 a9 4c 56 42 e5 c1 0d 2c 49 e4 |...==d.LVB...,I.| +00000040 c5 06 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 index 854c93d050d..27376c6b21c 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,85 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 c1 93 1b 5c c3 |....z...v.....\.| -00000010 ec 0a de 95 5f 01 0a a1 f9 da 5d b2 bc 50 48 88 |...._.....]..PH.| -00000020 1a 03 88 21 77 11 72 73 67 b6 c0 20 00 00 00 00 |...!w.rsg.. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 56 66 98 49 01 |....z...v..Vf.I.| +00000010 4b 0f 8c 15 63 59 e3 51 1b ed 6d 49 83 fa f1 1a |K...cY.Q..mI....| +00000020 ca fb a6 42 dc 2a ca 51 8e 45 4d 20 00 00 00 00 |...B.*.Q.EM ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 e1 |..+.....3.$... .| -00000060 61 50 27 fc 17 0d 94 c3 dd 84 81 ee be a7 b8 25 |aP'............%| -00000070 d3 28 4e 1e c3 bb d2 71 92 49 f1 dd 37 79 5a 14 |.(N....q.I..7yZ.| -00000080 03 03 00 01 01 17 03 03 00 17 0b c3 d4 7c 13 79 |.............|.y| -00000090 32 79 5e 09 d3 09 3f 90 ef 44 d9 e5 6d b1 bc 2f |2y^...?..D..m../| -000000a0 e0 17 03 03 02 6d 4a 1b b0 d1 31 fc d0 c0 be 5d |.....mJ...1....]| -000000b0 1c c2 6c e0 5b 4b d6 21 d5 71 70 fd 07 90 a0 df |..l.[K.!.qp.....| -000000c0 a2 57 f0 2a 91 4f 80 45 6f 28 86 5d f1 64 0d bc |.W.*.O.Eo(.].d..| -000000d0 a1 f2 70 d8 b3 4b 41 b3 ac 47 5f c8 14 e1 9b 49 |..p..KA..G_....I| -000000e0 29 2b 6d 78 95 c6 d9 05 27 33 2a 1c 13 70 bb 8c |)+mx....'3*..p..| -000000f0 ec 04 49 50 85 7b 11 b7 99 76 8d 0a 25 f3 aa 8c |..IP.{...v..%...| -00000100 da 83 6a 42 20 2d e3 07 25 7a 3a 46 5b fd e6 5d |..jB -..%z:F[..]| -00000110 b2 49 2b 9d aa 2e 58 42 fd 1a 43 33 71 ed 1d 77 |.I+...XB..C3q..w| -00000120 79 74 a5 f9 f9 58 5e c4 1c ca 8b c2 4c 44 83 b0 |yt...X^.....LD..| -00000130 7c 1c a2 1d 11 19 f8 b8 22 80 8b cd 9f 65 90 7e ||......."....e.~| -00000140 bb ac c9 37 d4 05 6d 9f d9 0b 8d d9 25 96 d8 a8 |...7..m.....%...| -00000150 ec be e9 eb 13 97 9d 10 b2 2e 0f 38 78 cf 96 0a |...........8x...| -00000160 b6 cf c5 06 34 38 68 e7 93 11 f8 38 b6 16 f5 ba |....48h....8....| -00000170 3c 74 d8 7b 21 8f 80 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'| +00000080 4d 67 da bf |Mg..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ALPN b/src/crypto/tls/testdata/Client-TLSv13-ALPN index b32a468862e..616ab4d46cc 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv13-ALPN @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 10 01 00 01 0c 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 12 01 00 01 0e 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,87 +7,87 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 91 00 05 00 05 01 00 00 00 00 00 0a 00 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L......v| +00000340 3d fb f1 ac 3b 35 eb c7 02 f7 fb 84 b1 e9 83 ab |=...;5..........| +00000350 04 39 04 35 ac 4b e5 b5 bd ca 34 ba a2 80 6a 6b |.9.5.K....4...jk| +00000360 5e 0d e6 de 2f 76 fc 36 9e 80 4a 41 57 3c fc 31 |^.../v.6..JAW<.1| +00000370 65 a7 be ad ab 45 85 43 85 be e6 2a ee 8c 94 f5 |e....E.C...*....| +00000380 90 22 07 a2 4d 98 28 8b 43 de d6 72 4c 0d df dd |."..M.(.C..rL...| +00000390 b7 b9 e9 96 ec fc 81 06 34 dc ad 49 28 86 4f 82 |........4..I(.O.| +000003a0 60 d7 9d bc e2 19 9d 40 ce 5a 74 8b 2a 55 7c a6 |`......@.Zt.*U|.| +000003b0 19 0d 18 d6 88 39 ff 1a 8b 4c 78 89 45 3f 17 03 |.....9...Lx.E?..| +000003c0 03 00 35 cf 90 44 17 97 68 b6 5e ea a1 67 72 91 |..5..D..h.^..gr.| +000003d0 7b 3f 12 cb f8 57 6a ad e4 f7 af d9 ef c6 2f 04 |{?...Wj......./.| +000003e0 ff a9 55 29 ca 87 4a 8b 92 82 6c d0 33 b0 f9 55 |..U)..J...l.3..U| +000003f0 f5 7f 4e 2a e6 3e b6 ab |..N*.>..| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 78 e6 93 fe 58 |..........5x...X| -00000010 c2 5f b5 1b a7 90 86 ee 51 0a 56 20 6d 12 5f 8b |._......Q.V m._.| -00000020 d7 c3 98 28 eb 4d 8e 0e 03 3c ba 53 c5 bd e2 ba |...(.M...<.S....| -00000030 f0 ab 2e 86 26 24 cc d3 3b b8 f2 4a 62 ed 4b a9 |....&$..;..Jb.K.| -00000040 17 03 03 00 17 0b e0 35 33 70 83 95 46 0e a0 fa |.......53p..F...| -00000050 d0 65 8e 43 48 e4 dc b4 2f e0 a3 2c 17 03 03 00 |.e.CH.../..,....| -00000060 13 3a 94 9b 11 2a 7c 03 1b d1 6a fb b1 6c e0 e3 |.:...*|...j..l..| -00000070 e6 32 58 01 |.2X.| +00000000 14 03 03 00 01 01 17 03 03 00 35 18 9c 05 90 64 |..........5....d| +00000010 8e a7 6b 4f 67 81 fb 6d 70 1b 7d e3 28 b8 00 1c |..kOg..mp.}.(...| +00000020 96 53 c2 b2 64 d8 b2 9c cc be 35 89 c1 02 fc 1b |.S..d.....5.....| +00000030 c6 0a b6 84 ef a4 78 92 11 cb b8 73 38 0a a5 2c |......x....s8..,| +00000040 17 03 03 00 17 7a 02 dd 5a ec 02 64 56 42 7e 13 |.....z..Z..dVB~.| +00000050 25 92 12 21 55 51 bc 35 f3 07 60 0f 17 03 03 00 |%..!UQ.5..`.....| +00000060 13 51 55 8b 75 d5 d5 c7 0a be 4f 61 95 24 a2 07 |.QU.u.....Oa.$..| +00000070 7d e2 71 32 |}.q2| diff --git a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 index 7ec36485424..19ee9ea1de0 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,85 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d 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a9 83 |/.I..dXn........| -00000220 b5 4f 35 68 95 3f 7f d9 c6 90 03 a2 d8 39 ea a0 |.O5h.?.......9..| -00000230 3a 81 38 70 b1 ad 5d 4f dc 02 93 b4 c2 87 65 dd |:.8p..]O......e.| -00000240 93 8d c8 b2 30 80 fa de 49 73 33 a6 a9 41 a4 79 |....0...Is3..A.y| -00000250 e5 5d c6 e3 c7 45 7e f9 96 d1 47 63 24 d2 29 25 |.]...E~...Gc$.)%| -00000260 bb 46 1f 45 70 d8 07 1d 5c 77 40 f2 60 cb f9 56 |.F.Ep...\w@.`..V| -00000270 aa f7 08 3d d8 23 6b da 72 0b 73 83 4d 51 c7 15 |...=.#k.r.s.MQ..| -00000280 c5 68 44 16 00 c0 53 8c db 59 72 1c 5b 3a d5 00 |.hD...S..Yr.[:..| -00000290 f8 d3 46 d6 3f a2 65 b8 9d 23 41 7b a7 1e 87 65 |..F.?.e..#A{...e| -000002a0 bf a2 58 16 60 5a 0d 01 fb 72 c2 ef 2e 0d fb 9d |..X.`Z...r......| -000002b0 79 23 d1 ef 0b 14 00 85 31 53 e9 77 a0 69 1b e4 |y#......1S.w.i..| -000002c0 bd 99 a1 34 f8 87 b9 51 0c f0 ef 4c 3d dc 68 30 |...4...Q...L=.h0| -000002d0 ea 31 9e 43 e1 b3 fe 09 63 03 84 b5 2a 8f a8 7d |.1.C....c...*..}| -000002e0 ac bb 65 82 bb 2c 95 73 df 14 d6 58 e9 04 a7 64 |..e..,.s...X...d| -000002f0 0e 17 f9 0c 0a f7 0a 5e a0 2d a4 c8 6f 0b b7 04 |.......^.-..o...| -00000300 b1 f9 51 3a e6 8d 33 2f 05 c2 43 b1 05 01 90 46 |..Q:..3/..C....F| -00000310 e4 5c 0b 17 03 03 00 99 2d e4 26 63 46 b7 f6 8c |.\......-.&cF...| -00000320 79 3f 9f 0a 23 ae 3f 4a 7a 79 df 16 6d 37 8f 00 |y?..#.?Jzy..m7..| -00000330 44 7c 6f fa 39 31 75 5f fe 4a ae ef de b6 6c cb |D|o.91u_.J....l.| -00000340 bf d2 a3 fa 56 c8 f6 50 6c 51 92 e5 1d f3 b6 25 |....V..PlQ.....%| -00000350 8f 1e 9c 4e 90 5b 5f 48 ce 72 7a 68 fc fc 66 0c |...N.[_H.rzh..f.| -00000360 3a df b6 03 d0 5a cf 40 5a f8 6f 09 44 fa 75 be |:....Z.@Z.o.D.u.| -00000370 25 b0 b6 c9 31 c4 be 92 47 29 de fd f5 df 63 37 |%...1...G)....c7| -00000380 1a 2c 41 7d 22 a5 dd 76 53 7d f6 97 6f 3d 81 38 |.,A}"..vS}..o=.8| -00000390 1c 89 aa c9 91 fe 39 dc 01 39 75 58 99 0c 05 4c |......9..9uX...L| -000003a0 9b ac 7e d0 fd 97 e4 f3 cd 82 fa 5b f9 1b e4 f0 |..~........[....| -000003b0 b3 17 03 03 00 35 38 a2 55 a9 c0 32 ad a5 dc 8e |.....58.U..2....| -000003c0 27 48 52 f4 72 28 d8 f3 9f 68 aa 8b 83 0e 4d f0 |'HR.r(...h....M.| -000003d0 45 72 a8 02 6a f2 e0 25 c6 1e 01 49 c2 57 b5 a3 |Er..j..%...I.W..| -000003e0 d0 07 8c 8e 20 b6 6d 9c 53 86 c5 |.... .m.S..| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 7a |..+.....3.$... z| +00000060 bb 5f 45 d5 af c9 42 26 78 ab 8e 55 a1 ac 4f 58 |._E...B&x..U..OX| +00000070 01 4a b4 bc df fa 16 c5 f4 9d e9 bf e0 f7 35 14 |.J............5.| +00000080 03 03 00 01 01 17 03 03 00 17 b9 ce 8a c9 3b 4a |..............;J| +00000090 fc 26 a5 96 03 63 d9 40 4c 44 1c ef 55 7b da bc |.&...c.@LD..U{..| +000000a0 17 17 03 03 02 6d 78 24 11 96 96 7e 2a 11 53 ea |.....mx$...~*.S.| +000000b0 8b b9 85 05 f5 3f 79 cc a1 0f 9b 2a 35 eb 01 1c |.....?y....*5...| +000000c0 c9 94 07 a9 54 c0 83 bb 83 1b 56 61 46 69 c6 1a |....T.....VaFi..| +000000d0 4e 39 d1 bd 6a 3c 66 1c e8 e5 39 5f 23 15 d0 48 |N9..j.| +000002c0 c2 bc 19 d6 32 3a d8 f1 8d 34 18 04 20 45 ff 48 |....2:...4.. E.H| +000002d0 68 4c 49 21 ed 07 18 ef f2 69 92 e4 c5 13 58 64 |hLI!.....i....Xd| +000002e0 65 c0 98 ef 6c fa 8e 19 e4 0a 6f a8 ca cc 89 c2 |e...l.....o.....| +000002f0 b8 3b 9b 01 e3 b5 b4 18 9a 0d 7e 50 57 82 dd 9f |.;........~PW...| +00000300 50 f9 57 2d 05 12 43 f1 54 0e bd 63 30 e6 58 ce |P.W-..C.T..c0.X.| +00000310 1f 4d f3 17 03 03 00 99 92 1b 73 6e df e8 d7 0d |.M........sn....| +00000320 e2 49 b7 3e 7a d2 3b 88 5a d8 ce fe 1d 0a 02 98 |.I.>z.;.Z.......| +00000330 a1 96 db bb 65 6f 0e 57 96 f6 f4 bb fb d1 7c ad |....eo.W......|.| +00000340 d3 77 11 91 90 4b c9 c7 08 4b 9f 07 d5 81 74 ce |.w...K...K....t.| +00000350 de 0e 7a 8a 92 a0 ee cc 17 cf 63 e6 9f 4c 09 50 |..z.......c..L.P| +00000360 cc 9c 8a 64 fa 57 0c 43 6a 41 21 25 c7 d2 d3 72 |...d.W.CjA!%...r| +00000370 40 af 86 c1 0e ca c2 23 ca 7c 67 02 5a 6d 80 4a |@......#.|g.Zm.J| +00000380 38 de ab 8c 46 b0 40 35 0a 58 e5 5c bc f0 3b 02 |8...F.@5.X.\..;.| +00000390 f3 b8 2c 49 80 03 f1 3f 13 6c d5 6c 31 b3 2a bb 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|..?....y$.......| +00000310 17 be d2 b2 6c b5 41 00 81 5d cd 18 47 97 c6 23 |....l.A..]..G..#| +00000320 cc e2 58 a2 ae cd 60 76 17 03 03 00 13 97 fb 88 |..X...`v........| +00000330 1d c8 eb 5c b2 8f 61 dd 6b 1f 41 ef f8 8e e7 0b |...\..a.k.A.....| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 index bbf765b1494..4464df142b7 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,117 +7,117 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 c0 9f bd ff 75 |....z...v......u| -00000010 89 82 b1 7b 73 4a ee eb f0 44 26 bd 68 8e 65 ec |...{sJ...D&.h.e.| -00000020 f1 5f 48 68 51 93 0f c7 b8 9f 0e 20 00 00 00 00 |._HhQ...... ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 df 2b 61 9e 90 |....z...v...+a..| +00000010 7f 04 01 51 25 8d e8 e8 81 b3 ce 49 bf 0b 54 d8 |...Q%......I..T.| +00000020 00 ee db 62 35 1c a0 02 18 52 50 20 00 00 00 00 |...b5....RP ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 50 |..+.....3.$... P| -00000060 58 14 9b bb 6b f9 bc ff 63 2d 72 03 2a 06 d9 b5 |X...k...c-r.*...| -00000070 31 c2 64 b4 18 b5 17 c3 8f 05 23 9d bd 79 21 14 |1.d.......#..y!.| -00000080 03 03 00 01 01 17 03 03 00 17 e1 5b b6 08 10 8e |...........[....| -00000090 dd c1 ba a4 46 a7 aa bf ee fd 1d 31 61 18 a4 fb |....F......1a...| -000000a0 d2 17 03 03 00 42 b4 5c 96 d2 fe 7f 81 25 3b 33 |.....B.\.....%;3| -000000b0 60 df b7 62 dd 40 6c d3 f3 2d c0 73 00 81 dd 10 |`..b.@l..-.s....| -000000c0 e5 36 12 ea dc 87 39 f6 ae 74 4c 19 f5 a7 35 46 |.6....9..tL...5F| -000000d0 1c bd 84 40 f3 7b 85 e5 75 cf 7e 09 4b 74 47 2c |...@.{..u.~.KtG,| -000000e0 b1 94 34 b1 19 82 6d 62 17 03 03 02 6d 8e da 89 |..4...mb....m...| -000000f0 44 c6 d4 cf 11 b0 d7 c5 55 98 32 b8 3e 1b 81 e1 |D.......U.2.>...| -00000100 9d 76 4d d3 91 05 6d b3 d1 b3 75 88 b4 8e 08 7d |.vM...m...u....}| -00000110 4e 90 2f 93 13 09 ec c8 a2 a7 2f 80 09 3f 14 d2 |N./......./..?..| -00000120 92 93 95 4a d0 71 e4 68 e3 6d ef 50 35 39 7b 46 |...J.q.h.m.P59{F| -00000130 8f cf 90 21 06 73 ae b2 4a 79 8f 13 0b 70 68 71 |...!.s..Jy...phq| -00000140 f0 c2 4e c6 70 00 40 14 4d 21 3d 6f db ed 06 7c |..N.p.@.M!=o...|| -00000150 fc ec 47 2c f5 f9 0b 72 bc 53 ea c4 9f 07 5f fc |..G,...r.S...._.| -00000160 20 f0 80 a1 b8 bb 24 35 07 5a 56 26 23 49 50 e0 | .....$5.ZV&#IP.| -00000170 ad f8 de 97 8a cb 0d 94 02 ca 72 68 88 c3 ed b4 |..........rh....| -00000180 5e a8 62 b8 60 bd 07 7f ce fd de 56 74 2f b6 1b |^.b.`......Vt/..| -00000190 ca 8b 51 95 f3 61 31 02 55 56 02 83 41 00 17 b8 |..Q..a1.UV..A...| -000001a0 a8 b1 fc 8a d0 9f 96 b5 cc ab ce a9 83 3a 90 23 |.............:.#| -000001b0 9c 9b 1b 19 4b c2 11 48 15 a1 ec cd 45 9b 27 e6 |....K..H....E.'.| -000001c0 32 19 1b de e4 4b cf fe 39 1a c7 25 47 23 c6 5f |2....K..9..%G#._| -000001d0 25 2d ad 04 39 9c 01 a8 8c 1d f0 03 4e 3f 62 e5 |%-..9.......N?b.| -000001e0 19 5c 4b 27 88 e6 6a c8 49 b9 61 40 bf 4b b8 af |.\K'..j.I.a@.K..| -000001f0 be f7 a9 6d ad 67 9a 1b 2b 70 14 9a a5 7b 38 5e |...m.g..+p...{8^| -00000200 fa c7 a9 c7 71 89 aa 93 c7 d6 6c 8e d5 a2 0a c3 |....q.....l.....| -00000210 4f fc a9 9b 31 a0 4b 41 d9 21 65 32 2f c7 7d fc |O...1.KA.!e2/.}.| -00000220 e8 cb 77 66 a0 9c 8f 70 d0 c0 9e 1e 7a 2b 7e 9f |..wf...p....z+~.| -00000230 68 c4 c9 b8 d9 27 5f 49 9f 34 87 4c 11 a5 b2 1c |h....'_I.4.L....| -00000240 67 cc 8b a0 50 d9 bb ee 06 ae fd c5 3e 06 26 f2 |g...P.......>.&.| -00000250 4e c4 a7 1c 71 59 8e 34 eb d5 a8 86 b5 ad 58 73 |N...qY.4......Xs| -00000260 f0 55 9c c4 cb 72 a3 1b 3f 7f e3 a2 bb 02 92 1e |.U...r..?.......| -00000270 e9 a5 ea 06 51 cd 82 c5 7b 38 b7 07 b3 9d 2e c7 |....Q...{8......| -00000280 51 25 73 e4 a0 29 3c 79 d0 e3 f8 a4 56 a9 c5 90 |Q%s..).U.| +000000d0 77 5b c7 58 3e a1 92 33 ea 87 0f a5 fd 97 f2 c5 |w[.X>..3........| +000000e0 2e d8 6e 6a 1d f2 31 a9 17 03 03 02 6d 6e 82 32 |..nj..1.....mn.2| +000000f0 e2 f2 f5 75 cf cc e0 28 b4 f5 29 ac c9 dd bc 24 |...u...(..)....$| +00000100 4b 52 e7 24 be 17 76 7f 2e 98 03 59 8c 5b 72 21 |KR.$..v....Y.[r!| +00000110 99 7b af d9 44 fd 12 71 46 9c e9 51 f4 bf 91 da |.{..D..qF..Q....| +00000120 be 99 cf ec f8 bf 68 17 a7 6f 08 c1 15 b5 7a e8 |......h..o....z.| +00000130 23 0b 7d 47 fd f1 31 73 e0 4f 53 e8 65 3c a4 55 |#.}G..1s.OS.e<.U| +00000140 1b ad 3c 4c a3 36 85 96 80 0c 75 68 a6 b2 4d 2b |...| +00000190 80 69 9d 83 37 4b a5 30 73 5c 1d 1a 8e 56 94 7e |.i..7K.0s\...V.~| +000001a0 8b 67 d8 d3 9a 3c 3d e5 ba 22 72 ec 7f 65 8b 96 |.g...<=.."r..e..| +000001b0 3d 33 1e 6f 78 b9 7f cc 05 2a 05 95 56 46 e6 ae |=3.ox....*..VF..| +000001c0 e3 ab 6d 2a 18 9f 2c db b0 53 fc 24 f2 c5 32 f6 |..m*..,..S.$..2.| +000001d0 33 ee 84 e3 01 0e 4e 3c 66 1e 84 b3 da 5f 69 60 |3.....Nz.Mz..| +00000320 88 92 25 b3 ed 92 ef 00 78 52 d4 bb 7f bb af b5 |..%.....xR......| +00000330 6a aa ff 5a 1f ad 2d f9 0c 71 22 60 09 03 31 f1 |j..Z..-..q"`..1.| +00000340 6b 91 51 1a 39 05 2f bd 11 77 3e 96 31 1e 5c d1 |k.Q.9./..w>.1.\.| +00000350 b8 15 55 d2 02 96 6c d2 29 c3 17 03 03 00 99 c6 |..U...l.).......| +00000360 6f 6d 37 8c 25 44 94 eb 16 61 81 ad e5 9f 93 74 |om7.%D...a.....t| +00000370 9c 11 2e 9a 64 be 0f 6d 1f e8 55 66 89 53 93 36 |....d..m..Uf.S.6| +00000380 05 6b 00 dc 0f 96 8d d8 f4 0a c4 58 8e 00 6f 9b |.k.........X..o.| +00000390 0f b7 7a e2 f1 9e 13 a3 e4 46 35 8c 3e fd d0 e2 |..z......F5.>...| +000003a0 1e 6a 83 c5 56 67 af 59 25 55 83 48 d0 12 68 96 |.j..Vg.Y%U.H..h.| +000003b0 20 85 6a f6 0e 25 1c 64 d3 ba 15 d7 f7 07 0a 4a | .j..%.d.......J| +000003c0 09 23 4a 75 4f 4c 52 6a 59 4f 1c 63 3a b9 18 ca |.#JuOLRjYO.c:...| +000003d0 c9 60 17 de dd 56 48 46 04 d4 2e 8d d1 06 64 e7 |.`...VHF......d.| +000003e0 a0 43 23 22 7c 85 96 24 a6 a8 ff 36 2a 82 9f 7f |.C#"|..$...6*...| +000003f0 90 3f 2d 72 ba ac 68 56 17 03 03 00 35 7d fd 28 |.?-r..hV....5}.(| +00000400 46 0c 39 b2 ce 16 74 aa 13 aa b1 d2 83 4c 36 dd |F.9...t......L6.| +00000410 36 22 77 30 a9 0c ce 14 bb 06 03 ff 86 d8 7f 0e |6"w0............| +00000420 44 da 81 74 9b 6b 30 8f ae 41 72 4c 88 37 fb af |D..t.k0..ArL.7..| +00000430 6e 16 |n.| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 01 50 0d 5a 0f 6a 2b |..........P.Z.j+| -00000010 29 03 9a fa 80 9f 06 5b 77 32 fd c2 e5 2c 47 f0 |)......[w2...,G.| -00000020 e4 ba e9 bb 62 a9 38 7c 50 a4 1d 30 d9 fe 57 e0 |....b.8|P..0..W.| -00000030 5c 63 5c a0 73 cf 38 a2 88 a6 fa 07 f0 dd 14 13 |\c\.s.8.........| -00000040 5c 02 a1 9c 95 14 a3 7f 3d 8f a3 e1 a9 a9 dc df |\.......=.......| -00000050 78 6d bd b3 ab 98 d1 0f 97 1e 11 63 cf 2b 1f 6e |xm.........c.+.n| -00000060 05 81 a1 b8 24 fd e5 f0 29 ab 70 73 44 69 c2 2f |....$...).psDi./| -00000070 0c 0a 7c 53 53 2a 97 56 5c 15 4f be 6b 90 64 65 |..|SS*.V\.O.k.de| -00000080 d6 da 44 e3 91 36 29 e6 a2 68 34 d7 99 94 09 00 |..D..6)..h4.....| -00000090 f2 15 fc 13 bf e8 7d 5d cc 88 11 5d a7 ee 1d 86 |......}]...]....| -000000a0 e1 db 2b c2 21 f8 db b2 8d 8c 72 ad d6 3f 46 f8 |..+.!.....r..?F.| -000000b0 d4 f2 4e b5 a0 34 3f df 3c d9 13 b7 fa a9 71 73 |..N..4?.<.....qs| 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-00000190 d5 cd 1c 4f 6f b0 f5 56 72 3b 27 a0 00 cd b7 f3 |...Oo..Vr;'.....| -000001a0 00 1a 4e ab 46 42 14 18 1d 7c 51 02 b8 ae a8 2e |..N.FB...|Q.....| -000001b0 68 45 e2 0d d1 e6 70 61 7a 17 03 03 00 35 13 44 |hE....paz....5.D| -000001c0 e0 3a 0b 1d 0d 53 f3 f1 9f c5 67 2d 34 7e 3b 3f |.:...S....g-4~;?| -000001d0 0c 6e f3 d3 00 9a fe 8b b6 be b4 f7 f1 9b 82 fa |.n..............| -000001e0 7a 80 18 34 86 27 e0 4c 86 94 a8 c5 d1 1a 3d 90 |z..4.'.L......=.| -000001f0 c6 dd bf 17 03 03 00 17 d0 3f 8d 5d 9d c4 5a 55 |.........?.]..ZU| -00000200 df 03 b2 fc 1f 48 2e b7 a0 68 49 63 85 49 7b 17 |.....H...hIc.I{.| -00000210 03 03 00 13 1b e5 f8 3c e6 9e fa f7 a0 8f 58 9c |.......<......X.| -00000220 df 20 7f 7b 32 f4 d5 |. .{2..| +00000000 14 03 03 00 01 01 17 03 03 01 50 0f 46 fa 37 1f |..........P.F.7.| +00000010 4c f8 24 ae 3a 27 4f 95 c0 e3 2b 29 e9 1b 47 08 |L.$.:'O...+)..G.| +00000020 56 38 1c 3c 22 f7 7c d5 9d 37 ec 99 f2 e0 33 99 |V8.<".|..7....3.| +00000030 b4 29 c9 b2 d1 0f 3a 7b 77 f8 9c 96 dd 8b a8 6c |.)....:{w......l| +00000040 f7 91 08 86 81 06 15 93 f4 db e9 cb 32 da 3c 7e |............2.<~| +00000050 91 26 b9 a9 93 89 9e ce c1 28 6a d8 be eb dd 45 |.&.......(j....E| +00000060 37 8f b4 18 55 64 04 e4 c2 75 99 c7 d2 c6 67 14 |7...Ud...u....g.| +00000070 51 b0 99 95 4e 91 43 2e dc 15 cd 32 fb d8 51 16 |Q...N.C....2..Q.| +00000080 c7 c3 3f 54 75 9b 5d ec c3 17 5e 74 b6 7c e2 89 |..?Tu.]...^t.|..| +00000090 ae 93 81 a5 82 7d b1 63 a2 4c 5b 90 55 cd 18 58 |.....}.c.L[.U..X| +000000a0 6f b7 76 ca 85 77 50 4f 2e 88 4e 56 53 bd 14 01 |o.v..wPO..NVS...| +000000b0 f9 25 a8 00 f0 86 e5 98 3c c4 dd 21 54 27 d1 ca |.%......<..!T'..| +000000c0 93 f3 fa 80 8b 56 59 46 5a f3 77 c6 cc 09 30 11 |.....VYFZ.w...0.| +000000d0 2a 9a fc a6 01 ba 42 38 75 d4 e2 86 6b ca 60 cd |*.....B8u...k.`.| +000000e0 7f e7 53 6d 9c 6f d1 61 37 3e 11 4e 87 a8 c2 28 |..Sm.o.a7>.N...(| +000000f0 5c 11 69 35 02 65 1e 37 ec b2 6d 72 5f 55 fb fe |\.i5.e.7..mr_U..| +00000100 4b 81 44 a8 a1 17 f3 ca a5 db ca 30 9c b0 fd d2 |K.D........0....| +00000110 91 68 f1 cb 86 87 97 3f b6 85 57 1b 55 e9 ef 95 |.h.....?..W.U...| +00000120 21 61 f9 84 2f cb ef 54 84 8d a8 f3 d1 f8 dd 5c |!a../..T.......\| +00000130 78 7f 4b 26 dc db a0 86 00 42 a4 6c e6 50 28 78 |x.K&.....B.l.P(x| +00000140 c4 41 56 dd e2 45 f6 b1 5a 19 a8 ec 05 e8 9d 7f |.AV..E..Z.......| +00000150 b1 0b 97 02 f2 e7 ee df 46 0c 3f 17 03 03 00 59 |........F.?....Y| +00000160 a2 4d aa da 13 70 61 68 b2 a3 d3 f7 7e e7 0a 27 |.M...pah....~..'| +00000170 6f ae 9a 30 d7 3d 07 6a 04 21 4f 80 54 52 76 66 |o..0.=.j.!O.TRvf| +00000180 3b c4 19 a8 61 7f 8c b9 ae c3 04 2e d3 49 08 34 |;...a........I.4| +00000190 b6 a6 46 a5 5b fd 98 b8 42 64 43 f7 52 6e f3 ec |..F.[...BdC.Rn..| +000001a0 c9 2c bb 42 63 56 82 03 df 9f 4c 48 ef 8e f6 37 |.,.BcV....LH...7| +000001b0 54 fc be fd 1f 86 73 e8 98 17 03 03 00 35 be c4 |T.....s......5..| +000001c0 93 64 12 cf 63 9b e7 6c 12 9d 12 82 6e a1 9e 17 |.d..c..l....n...| +000001d0 15 65 c8 df 86 eb ad 47 9c 42 2d b3 57 33 b8 35 |.e.....G.B-.W3.5| +000001e0 36 5a aa b3 9a e2 7e 81 7f 75 1c 24 e5 bf 7e ca |6Z....~..u.$..~.| +000001f0 03 29 af 17 03 03 00 17 1a 34 81 6f 7c 97 53 d0 |.).......4.o|.S.| +00000200 9d dc da 3d 67 0b 88 bf 54 c2 04 de fa 1d f0 17 |...=g...T.......| +00000210 03 03 00 13 1d 21 4e e1 05 65 df cb df 7d d3 9b |.....!N..e...}..| +00000220 be 94 c0 74 74 f3 b9 |...tt..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA index 7b57158754c..6afd3dc8ae7 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 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--git a/src/crypto/tls/testdata/Client-TLSv13-ECDSA b/src/crypto/tls/testdata/Client-TLSv13-ECDSA index ba5b45a19ef..64cd5db4f15 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv13-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,81 +7,81 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 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|.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 28 09 d9 b1 1d |....z...v..(....| -00000010 a6 ea 92 9f e1 c0 d2 aa a5 5d 4a e5 17 93 92 8e |.........]J.....| -00000020 9d 44 25 33 68 d9 09 ba 7b 09 17 20 00 00 00 00 |.D%3h...{.. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 62 8e fc 20 76 |....z...v..b.. v| +00000010 d3 63 57 5d 41 89 ed 48 4c be b7 ff 62 f2 ef f1 |.cW]A..HL...b...| +00000020 36 b6 fe ad 25 1b 1a 57 32 9e 40 20 00 00 00 00 |6...%..W2.@ ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 e7 |..+.....3.$... .| -00000060 cc 48 0d b3 ce 93 ed 0a d1 e6 0c d7 60 67 9a e3 |.H..........`g..| -00000070 1e 8e ef 39 4b 11 43 96 cb 90 4d c7 1d 54 5e 14 |...9K.C...M..T^.| -00000080 03 03 00 01 01 17 03 03 00 17 3c 79 07 24 a4 24 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80 a2 6b |`.<.K.k.....c..k| -000001a0 b4 5b 82 e0 f6 29 03 26 24 11 8f 19 d6 0a fe 00 |.[...).&$.......| -000001b0 df e9 26 7c b4 5b 2d fd a5 5a ac 7d c6 58 99 7e |..&|.[-..Z.}.X.~| -000001c0 1e bc b7 4f 39 be 93 6d d0 30 db 0c d5 63 e2 79 |...O9..m.0...c.y| -000001d0 58 9f 59 00 98 15 f3 6e af fb cc 39 3b 75 b1 70 |X.Y....n...9;u.p| -000001e0 af ea 03 fe 1d 6e 92 73 65 b0 0f bf 99 26 04 c9 |.....n.se....&..| -000001f0 b8 82 72 1e 47 49 d0 a5 c5 8d 4b 2b a4 c4 dd 57 |..r.GI....K+...W| -00000200 ac 26 64 a8 72 5d 99 18 dd de 69 30 f7 9b ee d3 |.&d.r]....i0....| -00000210 2f 9a ae 80 25 48 ff 0d c2 f9 6c 33 10 a6 52 9c |/...%H....l3..R.| -00000220 dc e4 b9 f3 fd bd f3 3b f0 ca fe 72 f5 2c da 45 |.......;...r.,.E| -00000230 09 0e a1 04 12 8d a7 24 c4 aa 90 c3 8a 42 e0 42 |.......$.....B.B| -00000240 a0 d3 aa f0 51 26 e3 73 a6 34 29 bf d4 71 90 72 |....Q&.s.4)..q.r| -00000250 d9 af 78 d9 46 e9 17 d3 80 84 74 79 11 f6 54 07 |..x.F.....ty..T.| -00000260 a2 ef 00 d0 5e 0c 22 be 31 74 a9 75 b5 20 76 34 |....^.".1t.u. v4| -00000270 46 dc 34 e3 c2 52 1b b7 d7 8e ad 37 fa c0 fb 5c |F.4..R.....7...\| -00000280 be 43 33 ee a1 61 e7 65 64 f2 69 00 d8 90 98 1f |.C3..a.ed.i.....| -00000290 ec 99 fd 87 0f e5 a0 8f 54 4a 98 d7 fb 16 3c 8d |........TJ....<.| -000002a0 49 5f 13 dd ef 4c de 81 20 04 de b5 83 2b e7 e5 |I_...L.. ....+..| -000002b0 fe a7 47 46 8b e7 fb a7 5a a5 5d c2 80 9e 05 01 |..GF....Z.].....| -000002c0 05 15 a4 07 53 12 27 0d 17 03 03 00 a4 9a 63 05 |....S.'.......c.| -000002d0 36 04 15 43 03 61 7a 76 3a f4 22 34 b6 88 8e 1f |6..C.azv:."4....| -000002e0 d3 54 0f c2 18 61 f9 0a 66 97 96 39 9e b6 7e a1 |.T...a..f..9..~.| -000002f0 ab 97 30 e6 05 3a 18 2f 9f 37 2a 2c 25 9e 23 c8 |..0..:./.7*,%.#.| -00000300 73 b3 b4 dd 1c 63 7c e8 c4 a9 b5 0a 04 3b 48 7e |s....c|......;H~| -00000310 bc e9 9f e4 4d 82 31 52 51 ba e7 a2 09 93 c6 e1 |....M.1RQ.......| -00000320 80 7f 66 9a 76 db 9e 97 64 fc f0 11 d0 c8 e4 3c |..f.v...d......<| -00000330 0e 73 93 88 e6 e9 4e 0f b2 63 e1 1b 2e 57 eb 4e |.s....N..c...W.N| -00000340 2f 09 0f e4 1b 84 39 b6 43 1f bd 35 bd 6c c2 cf |/.....9.C..5.l..| -00000350 76 f4 ef 27 a1 0d 72 0b 8c 5a 0c ad e4 fa 86 b1 |v..'..r..Z......| -00000360 ad 0d 77 fa c3 75 43 3a 66 46 6e 92 0a d3 7e 19 |..w..uC:fFn...~.| -00000370 5f 17 03 03 00 35 7c 76 6c 7b 96 fa 57 a4 5e 1e |_....5|vl{..W.^.| -00000380 1d 29 36 07 fa fb 90 6c 12 f6 56 e7 3b 25 51 26 |.)6....l..V.;%Q&| -00000390 7f ba ea 46 f6 cc 34 81 e0 28 87 15 76 06 06 47 |...F..4..(..v..G| -000003a0 eb 7c d1 e3 33 19 21 ae 69 25 61 |.|..3.!.i%a| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 65 |..+.....3.$... e| +00000060 9c e1 86 09 90 c6 5e 13 cc 1d c2 6a 76 a4 39 94 |......^....jv.9.| +00000070 4d cf 12 16 fd 4b 66 4f 6c 7f 60 5d fb ca 7b 14 |M....KfOl.`]..{.| +00000080 03 03 00 01 01 17 03 03 00 17 b3 77 e6 01 29 e1 |...........w..).| +00000090 ad 39 dc 1e 15 4b a9 b0 63 b6 0e 8e 7e 55 e4 e3 |.9...K..c...~U..| +000000a0 50 17 03 03 02 22 74 bc 3d 78 e0 fb fc f0 4e 41 |P...."t.=x....NA| +000000b0 d8 8e d9 e3 13 51 20 7a 21 50 d2 e5 a0 57 94 cc |.....Q z!P...W..| +000000c0 31 d2 12 5e fb 2b 2d c3 7c 09 71 de 16 d4 53 26 |1..^.+-.|.q...S&| +000000d0 f5 1e e4 8f da 17 a7 66 51 9e 9d 36 3a e0 13 6b |.......fQ..6:..k| +000000e0 04 c2 70 b8 37 55 14 8d c6 dd e8 24 19 82 82 e4 |..p.7U.....$....| +000000f0 bc ce 9d ad a5 4a 45 5a b4 dd 09 e9 37 0c 58 d5 |.....JEZ....7.X.| +00000100 79 34 5e cf e0 a3 4c 2a a1 05 96 94 8b cc a5 8e |y4^...L*........| +00000110 34 45 ca d5 af 55 9e 0e a0 a2 13 91 48 ca 8c 1d |4E...U......H...| +00000120 4a 33 33 0a 50 ed 53 3c 1f b4 05 97 36 f6 8f e0 |J33.P.S<....6...| +00000130 86 cf da e4 53 cf 52 5e 54 9c 1a 51 c4 a2 89 f7 |....S.R^T..Q....| +00000140 e7 38 6e 73 79 ae 76 9b ba 3a a4 80 e5 4f 75 29 |.8nsy.v..:...Ou)| +00000150 29 6a 89 f8 16 de a8 cb 57 ad ea 1b 27 3e f9 17 |)j......W...'>..| +00000160 c9 9d 22 31 06 af 54 3c 97 c4 ae d2 34 31 94 11 |.."1..T<....41..| +00000170 b0 64 9c 44 2d ea 7b 21 e1 65 e8 ca 63 1e 73 6a |.d.D-.{!.e..c.sj| +00000180 7f c9 bf ec 1b fd 33 18 75 b4 e5 6b 6a 6e d2 3c |......3.u..kjn.<| +00000190 44 6d 0c 7f 89 65 de e0 97 0d 96 0f 9f e8 87 17 |Dm...e..........| +000001a0 10 12 7b 1c 32 62 35 19 28 87 8d 88 3b 7c 6a 6e |..{.2b5.(...;|jn| +000001b0 3b 53 01 d6 e2 13 57 19 88 ce ec 77 fc 98 89 0e |;S....W....w....| +000001c0 e8 67 85 1e 1b 03 62 89 2f f3 1b 4a 51 3c 60 7b |.g....b./..JQ<`{| +000001d0 25 6a e6 8b 8a d5 d2 cb 2d 3a b6 22 bb 00 09 72 |%j......-:."...r| +000001e0 d0 74 19 dc a3 c9 61 19 ab 3b 56 35 51 d4 25 45 |.t....a..;V5Q.%E| +000001f0 9f 28 7e 64 1c 05 2e 90 89 34 64 1e 19 c5 35 03 |.(~d.....4d...5.| +00000200 27 3d ee bc 53 25 2a b4 89 a7 70 3f 26 ba 41 b5 |'=..S%*...p?&.A.| +00000210 4a e2 8f e8 e7 fc b1 7b 8b 9a d0 c6 50 55 c1 9c |J......{....PU..| +00000220 2e 9e e0 56 8c a4 65 e6 c4 84 bd 02 f8 f9 11 08 |...V..e.........| +00000230 04 47 1f cf 8a 59 2c 5b 50 ca 5e 16 b0 a2 99 fc |.G...Y,[P.^.....| +00000240 7f 72 32 f9 88 a4 9c e6 a9 02 2d 71 ef 58 22 b0 |.r2.......-q.X".| +00000250 e6 75 8a bc fd 99 bb 37 cd bc 4a 35 e9 85 6f 31 |.u.....7..J5..o1| +00000260 42 50 87 61 d1 0c 5c ed a1 69 e4 2f 98 61 1c ee |BP.a..\..i./.a..| +00000270 6d 42 ce 7c fe 96 7d 29 f7 d6 2f 9b 46 44 a9 f8 |mB.|..})../.FD..| +00000280 9f 60 2b 5e ab a3 85 e8 34 09 8a c6 44 f2 1a bf |.`+^....4...D...| +00000290 c6 1f 06 64 90 25 38 34 d9 76 ee 01 e8 e6 2e 19 |...d.%84.v......| +000002a0 c5 ba d2 c9 05 6e d1 92 06 ec 98 34 50 a9 91 b9 |.....n.....4P...| +000002b0 70 57 33 96 df 79 85 4a b2 f0 08 fc b6 d0 26 67 |pW3..y.J......&g| +000002c0 a7 70 9b 24 fc e2 78 4f 17 03 03 00 a4 a4 42 5a |.p.$..xO......BZ| +000002d0 0e 3b 1e 4b e2 40 cf 2c 94 d3 b3 1d b2 a2 78 39 |.;.K.@.,......x9| +000002e0 64 82 34 57 eb a7 4d 0e 4f c2 56 71 3c df bb 87 |d.4W..M.O.Vq<...| +000002f0 8a 4a bc 6e dc a1 81 99 2f a4 c1 a2 a7 61 ed 8e |.J.n..../....a..| +00000300 da 80 8b 5d d6 94 42 f6 33 1e 54 a9 a6 c0 00 fb |...]..B.3.T.....| +00000310 38 22 78 ef f1 af 31 a0 c7 48 27 ca b0 b2 85 a6 |8"x...1..H'.....| +00000320 96 4e d9 e8 5c f9 45 bb e2 40 ff 78 53 53 4e d7 |.N..\.E..@.xSSN.| +00000330 66 9b 65 0e a0 13 d0 ae b8 62 5e ba 6e f7 23 45 |f.e......b^.n.#E| +00000340 c4 84 83 e5 56 0d c4 f8 75 e4 c8 8a 33 71 42 6b |....V...u...3qBk| +00000350 a5 7b f4 c5 0e b4 a1 45 ef 9d fc 14 97 d7 04 00 |.{.....E........| +00000360 49 a3 48 ed 4e 3a f8 f7 ad 29 5a fb 9a f7 84 40 |I.H.N:...)Z....@| +00000370 15 17 03 03 00 35 6f 4f 14 71 0a ff a8 a3 60 3d |.....5oO.q....`=| +00000380 ce 78 c0 ed 76 ad 1d 4a 4e 21 67 35 36 d2 3e 64 |.x..v..JN!g56.>d| +00000390 18 11 8d f6 e8 23 7b e7 e6 b8 30 15 08 8f ce 34 |.....#{...0....4| +000003a0 f8 26 8a fe f3 9a b0 40 61 83 8a |.&.....@a..| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 01 d0 e9 30 cb |..........5...0.| -00000010 7b 02 03 93 49 6a 52 8d 2e e9 40 41 3c 5f 98 36 |{...IjR...@A<_.6| -00000020 e4 ae 0c 56 46 4d 03 79 34 6c a3 55 2c 75 e5 82 |...VFM.y4l.U,u..| -00000030 a2 19 1f 32 e2 58 d3 bb be 74 5a 57 4d d8 34 96 |...2.X...tZWM.4.| -00000040 17 03 03 00 17 d6 65 21 83 57 8a dd 7d 0a b3 59 |......e!.W..}..Y| -00000050 f3 35 06 ca a6 5a 78 96 2e 10 3c 00 17 03 03 00 |.5...Zx...<.....| -00000060 13 49 d4 3d 11 6e 1a c2 e7 db 4b 66 90 cf 4f 8b |.I.=.n....Kf..O.| -00000070 16 b0 ee d3 |....| +00000000 14 03 03 00 01 01 17 03 03 00 35 09 c0 1a 04 b7 |..........5.....| +00000010 91 9a 1b 16 24 8f 78 24 3e b6 b1 83 e7 52 30 74 |....$.x$>....R0t| +00000020 45 a9 ae 4a 6b 4a f3 b9 6b 1c 3f 71 18 2b 5f a5 |E..JkJ..k.?q.+_.| +00000030 af e1 da 93 9d 51 b0 f3 42 c8 e7 2c 5e 6b 3c 8c |.....Q..B..,^k<.| +00000040 17 03 03 00 17 e6 6d 3e ab 3a 93 8b 3e f5 ae fd |......m>.:..>...| +00000050 6b cc 24 a7 77 63 14 06 66 ad a6 d6 17 03 03 00 |k.$.wc..f.......| +00000060 13 e0 ae bd 66 48 1b 32 d3 a9 c0 6e 6e a3 67 88 |....fH.2...nn.g.| +00000070 68 29 ab e2 |h)..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 index 3e64c23efa5..4ce57b34688 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,63 +7,63 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 dc 7a 75 81 4c |....z...v...zu.L| -00000010 ea 77 79 c7 90 80 b8 db d0 48 33 3d 44 18 68 d3 |.wy......H3=D.h.| -00000020 a5 67 6b 8f 89 7f dc 1a 4b fb 59 20 00 00 00 00 |.gk.....K.Y ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 2b 5e b0 8f 95 |....z...v..+^...| +00000010 cf 53 ec f9 8a 53 4a 05 fd 49 b9 28 52 1c 54 44 |.S...SJ..I.(R.TD| +00000020 b9 99 4a 56 9c fc d0 8b d0 11 04 20 00 00 00 00 |..JV....... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 19 |..+.....3.$... .| -00000060 f3 e3 78 22 38 99 71 1a 1d 53 9d 6f 99 71 84 f9 |..x"8.q..S.o.q..| -00000070 60 0d d3 af 79 cc 9b 29 28 9b 93 f2 7a c3 66 14 |`...y..)(...z.f.| -00000080 03 03 00 01 01 17 03 03 00 17 41 17 5e ad 14 a4 |..........A.^...| -00000090 30 44 47 a2 01 ee 79 ad fa f9 dc 31 8d 20 dd 54 |0DG...y....1. .T| -000000a0 7b 17 03 03 01 50 53 4c 44 69 ff 78 8f 36 05 a6 |{....PSLDi.x.6..| -000000b0 ee 35 e1 4c 25 d9 a5 81 2c 74 b6 f5 47 5a 2a a9 |.5.L%...,t..GZ*.| -000000c0 0f 6d 85 41 46 ac 62 43 c6 c7 92 b9 64 25 f4 1c |.m.AF.bC....d%..| -000000d0 5f 1f 1f 39 ec 45 95 fd 32 b5 5f c9 b0 5c 33 7f |_..9.E..2._..\3.| -000000e0 de bf cb 84 ee d2 99 b7 2e a0 c2 ff c7 a6 97 14 |................| -000000f0 cb a9 92 5c 61 51 84 62 e8 69 69 c3 04 d0 03 ca |...\aQ.b.ii.....| -00000100 55 65 b8 38 fc 16 a2 e6 09 a8 44 17 35 ef 40 52 |Ue.8......D.5.@R| -00000110 5f 8b 3e e4 10 18 38 ab 4f 60 68 dd 15 8d 10 b5 |_.>...8.O`h.....| -00000120 c2 f2 3e 75 c8 39 78 f6 d0 48 2e 55 a7 af 1e 83 |..>u.9x..H.U....| -00000130 27 ea 9f f4 9e 56 64 16 df a6 fd bf cc 49 bd 6d |'....Vd......I.m| -00000140 23 1e 43 5a 8f 18 4c f8 47 ff 9b 2f a4 be 8d b8 |#.CZ..L.G../....| -00000150 f8 d3 17 f0 4c 16 e7 fe 61 d3 af 4c fa 16 ad 9b |....L...a..L....| -00000160 09 74 2c 75 85 6d 67 0c c2 6d 0a ad 3d 24 7f cc |.t,u.mg..m..=$..| -00000170 06 3f 43 a9 d0 4b 37 9c 0c be 79 8c 32 04 a4 b4 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|l/......`rr..g..| +000001b0 db bf f5 bd ea 85 64 ff 09 f3 ac c3 52 fe e8 97 |......d.....R...| +000001c0 d7 05 97 7a 3d 44 4e 68 53 d1 54 31 6b ec e7 86 |...z=DNhS.T1k...| +000001d0 bb 62 7f ae f6 e5 dd f8 59 39 07 b5 7e f8 c0 4c |.b......Y9..~..L| +000001e0 86 9f 4c b6 55 3c 50 a2 ad 6d fc b1 84 3b 41 1e |..L.U>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 80 c8 42 e9 9e |..........5..B..| -00000010 56 ea 63 c6 86 cb 67 5a 40 be 14 1f d8 99 2a 97 |V.c...gZ@.....*.| -00000020 19 44 27 e1 6f fb 4c 2c 58 fa b0 21 47 5f b7 0d |.D'.o.L,X..!G_..| -00000030 c5 00 85 65 8e 79 09 d4 75 17 b6 dd ba eb ed 99 |...e.y..u.......| -00000040 17 03 03 00 17 38 31 98 fe 28 c5 ad 4d 9d ea 70 |.....81..(..M..p| -00000050 c3 e3 d4 0e 8d 40 1c 2e b0 d3 c9 db 17 03 03 00 |.....@..........| -00000060 13 3e a0 b0 67 c7 76 0b 5a 5f c9 e1 06 3b 68 ab |.>..g.v.Z_...;h.| -00000070 4f 16 66 25 |O.f%| +00000000 14 03 03 00 01 01 17 03 03 00 35 36 aa e0 eb 05 |..........56....| +00000010 c2 8b fa 19 a8 0c a9 19 04 98 ae fe 1c 8f 27 73 |..............'s| +00000020 db 99 77 6c 94 b0 f1 d8 9f 31 1c 83 be ab 82 67 |..wl.....1.....g| +00000030 a1 78 ed ca ac 1f 5c 21 d7 fe 5a e6 47 02 63 37 |.x....\!..Z.G.c7| +00000040 17 03 03 00 17 af 14 2b 5f 4a d9 5b 6e 1e d2 b5 |.......+_J.[n...| +00000050 fa 64 5b 88 ff c7 57 05 46 47 65 08 17 03 03 00 |.d[...W.FGe.....| +00000060 13 e1 22 d9 2d cb 93 17 cb 36 24 64 72 69 57 b0 |..".-....6$driW.| +00000070 98 ee f5 12 |....| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial index 3adcbd6dd38..b6e0bb7f72c 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,85 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 01 51 b2 92 e7 |....z...v...Q...| -00000010 84 9b d3 d9 77 61 dc aa 09 2e b4 d9 01 f9 44 99 |....wa........D.| -00000020 f5 24 07 43 98 a1 f4 54 93 5f db 20 00 00 00 00 |.$.C...T._. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 dc 12 2e 04 77 |....z...v......w| +00000010 96 73 ac 5c 33 45 bc fd b4 5e 54 5b c4 6c 67 fa |.s.\3E...^T[.lg.| +00000020 ed 5a c2 da ba 7e 67 26 71 9f 51 20 00 00 00 00 |.Z...~g&q.Q ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 13 |..+.....3.$... .| -00000060 57 b4 ea 58 46 24 d2 b5 23 87 cf 8d 9f 10 a5 79 |W..XF$..#......y| -00000070 f8 99 8a 59 56 73 45 5f e9 4c ad 18 bf 60 3d 14 |...YVsE_.L...`=.| -00000080 03 03 00 01 01 17 03 03 00 17 af b8 57 c0 a5 ba |............W...| -00000090 c5 44 68 37 24 0e c7 d4 24 25 45 ee 3d a5 2c a6 |.Dh7$...$%E.=.,.| -000000a0 06 17 03 03 02 6d fd 7a 7f ce 16 e3 0d d7 60 58 |.....m.z......`X| -000000b0 4f e2 55 ef 2a 30 c7 93 74 c8 21 9c d8 03 e0 48 |O.U.*0..t.!....H| -000000c0 0a 1c d3 33 03 e6 f6 7c 8e df f1 91 8d a7 0e 11 |...3...|........| -000000d0 1f 7a d9 bc ee 4c f9 5a e4 7f fb 3d 46 e8 65 57 |.z...L.Z...=F.eW| -000000e0 f7 34 79 b2 2c 71 84 ca eb ef 50 1e 8e 9d d5 f8 |.4y.,q....P.....| -000000f0 4a 3f f8 e6 59 c5 c4 48 64 5f b2 d3 d2 2c df 9a |J?..Y..Hd_...,..| -00000100 ee 90 e1 96 4f a8 f4 e9 1d c5 a7 56 83 79 86 74 |....O......V.y.t| -00000110 6e e9 97 dd 75 d1 fc b6 e0 88 5f 22 ce f3 ca 76 |n...u....._"...v| -00000120 97 5e 7b 2c d7 68 f6 a2 2b b8 72 49 16 5c d7 55 |.^{,.h..+.rI.\.U| -00000130 1d b9 9b b1 e9 bc 25 b8 81 b0 7c a6 62 5e 8b 33 |......%...|.b^.3| -00000140 18 21 8b 1c e9 9e 12 c8 47 fd f2 0c 1e e5 2e b7 |.!......G.......| -00000150 88 37 fa 1d 0c da 42 32 b7 a3 45 82 c6 62 64 3c |.7....B2..E..bd<| -00000160 a9 cf f5 8d 72 a5 ca 7b dd fa 06 8e 6c 66 dc 32 |....r..{....lf.2| -00000170 cb d6 e0 22 22 3f 4d 46 d7 8b e6 e0 15 33 2d 06 |...""?MF.....3-.| -00000180 1e 8e 61 c6 bc 59 bc ef 3e be 3c e4 20 e9 b4 76 |..a..Y..>.<. ..v| -00000190 2b b1 61 7c 32 15 74 7a 4e c8 ea 17 fd 38 46 66 |+.a|2.tzN....8Ff| -000001a0 13 d0 43 86 db d1 30 6e 94 22 41 ac e9 24 c0 c0 |..C...0n."A..$..| -000001b0 7c f1 18 52 43 9b 10 51 2d eb 09 fb dc 35 cf 51 ||..RC..Q-....5.Q| -000001c0 3b 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6a 9c 05 c1 09 ca fb 5c 28 ab 38 da 59 d7 bc |Yj......\(.8.Y..| -000002a0 f7 26 23 5d 88 70 d7 e5 44 dc 32 13 95 b4 5b da |.&#].p..D.2...[.| -000002b0 84 ba c7 f6 e8 d4 fe 90 7c 61 ad 6b 67 df fb 4c |........|a.kg..L| -000002c0 a3 d3 f7 f6 2c a9 87 5c f1 0f a1 8f 6a 28 40 98 |....,..\....j(@.| -000002d0 80 92 4c 91 58 89 b2 40 21 d0 36 5f 88 a9 5c 4e |..L.X..@!.6_..\N| -000002e0 86 59 22 42 ed 1d 8d 42 82 df 4b fd 98 c4 80 71 |.Y"B...B..K....q| -000002f0 41 73 58 de 3f 56 c6 7f 8b ea 6f cd 6a 73 09 b4 |AsX.?V....o.js..| -00000300 da 9e b1 a9 99 f1 28 8f 48 a9 5b 40 37 30 57 ed |......(.H.[@70W.| -00000310 4c 40 c0 17 03 03 00 99 27 70 fa 12 02 72 57 0f |L@......'p...rW.| -00000320 5f f5 ca 04 4f 1b 31 13 da ca 7f 03 63 0d 95 7c |_...O.1.....c..|| -00000330 7f 7d 14 2d 32 bd 6f 92 33 ce a9 09 75 47 4c 5e |.}.-2.o.3...uGL^| -00000340 e2 6b 19 77 22 dc 01 5f 28 25 95 fd b9 da 93 ce |.k.w".._(%......| -00000350 bf 27 a8 4e 78 d1 17 8a e8 69 eb 5c d2 c7 0c da |.'.Nx....i.\....| -00000360 ed 4b 80 0f 33 ea e0 a4 ea 67 61 4d ac ba 25 91 |.K..3....gaM..%.| -00000370 66 fd 68 d3 2a 63 25 b5 e6 a6 74 a3 d0 b7 1a ed |f.h.*c%...t.....| -00000380 7a 60 76 23 d5 67 6e 91 5b 34 29 b1 b1 f1 40 a2 |z`v#.gn.[4)...@.| -00000390 38 b6 66 8a 4f 7e 19 a6 8a 92 a7 1a 47 0b 6d 60 |8.f.O~......G.m`| -000003a0 42 32 77 e6 42 1b af 1a d8 91 a0 18 29 31 9c 5c |B2w.B.......)1.\| -000003b0 83 17 03 03 00 35 d0 93 cd 70 3c bf e4 b5 7e b1 |.....5...p<...~.| -000003c0 cc ab c1 94 c0 e8 42 78 d0 ef fb a3 14 8a a6 de |......Bx........| -000003d0 4f be 42 fd b9 7a f5 c5 cc d4 e3 e4 6e 64 02 d8 |O.B..z......nd..| -000003e0 95 57 98 1c 41 34 3d df e1 66 b5 |.W..A4=..f.| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 f6 |..+.....3.$... .| +00000060 c5 8b 92 c9 4b a0 16 28 fb af e4 fa 0c d6 cf 3b |....K..(.......;| +00000070 03 9f ae 33 05 b3 63 85 a7 46 70 79 5f 96 7d 14 |...3..c..Fpy_.}.| +00000080 03 03 00 01 01 17 03 03 00 17 d7 e8 32 e5 a2 b2 |............2...| +00000090 fe 9b cd ef 6e a0 48 01 05 43 5f 19 b7 6a dc 0c |....n.H..C_..j..| +000000a0 64 17 03 03 02 6d 09 99 12 e5 9a c3 1a c8 62 ab |d....m........b.| +000000b0 8a 93 6c dd 2f e1 85 2f 22 de 43 b6 d3 dc b6 04 |..l./../".C.....| +000000c0 57 a9 b5 a8 d0 96 5d 18 ad 9b 38 4e 95 2a 0c 0a |W.....]...8N.*..| +000000d0 8d 20 d9 79 d3 e2 da b0 d3 47 c8 fd 2c da 17 b7 |. .y.....G..,...| +000000e0 57 13 1b fc b4 cf 89 db ec 37 17 d2 57 0e 18 cf |W........7..W...| +000000f0 5f 4b 10 06 f9 3b 1b 0e ca 7c e2 74 31 5f 8d 0f |_K...;...|.t1_..| +00000100 8d 9b b7 fe 2e 14 5b fe dd e4 a2 ab f5 99 6a ca |......[.......j.| +00000110 f3 d0 33 f3 58 9e e7 84 93 24 35 6d 45 93 3b 1f |..3.X....$5mE.;.| +00000120 33 43 af bb 91 29 76 8e 17 cf 58 2d 52 2f 20 6f |3C...)v...X-R/ o| +00000130 a1 47 e5 b5 de 72 4c b2 db b2 8c b1 fd 02 c4 76 |.G...rL........v| +00000140 43 f4 25 7f 36 80 fd d6 0f c1 55 3c a5 84 56 9e |C.%.6.....U<..V.| +00000150 9f 14 2e 29 68 6b 6b a3 45 29 b3 c8 ae ff cb 62 |...)hkk.E).....b| +00000160 9e c2 cd 32 23 01 be a2 ee b1 1f d5 3f e9 37 23 |...2#.......?.7#| +00000170 9b 69 7b 6e 45 e1 d1 89 a6 0a 7e 7d 42 ec 63 43 |.i{nE.....~}B.cC| +00000180 0f f2 26 22 81 6e 26 23 c7 be 97 89 e2 03 5a 80 |..&".n&#......Z.| +00000190 57 c1 88 89 6c 5e 26 d5 39 32 bb c7 fc 4b cd a0 |W...l^&.92...K..| +000001a0 18 10 23 17 e3 b8 fe 9f 5f 8f 3c e5 b0 d6 1d 12 |..#....._.<.....| +000001b0 71 cc 08 b4 c1 c6 75 7e 3f 3b 4e 66 7a d5 a8 ff |q.....u~?;Nfz...| +000001c0 aa e6 5c a5 64 1e 8f 87 dd a6 98 40 9e 67 17 ee |..\.d......@.g..| +000001d0 d4 0e 7a 98 a0 93 f7 51 6f 9a 88 92 17 08 50 8f |..z....Qo.....P.| +000001e0 64 18 83 d1 51 9c 0e 81 2e a2 ad ed ca 11 c0 63 |d...Q..........c| +000001f0 fc 0a a0 dc 88 83 c6 8c 8d b4 48 b2 46 60 58 11 |..........H.F`X.| +00000200 c0 0a 51 86 3a b2 3f 3a 23 f2 e5 f0 50 e0 45 77 |..Q.:.?:#...P.Ew| +00000210 c2 1b 84 c9 89 f1 b2 b2 4a 70 e2 bb 78 9c f4 94 |........Jp..x...| +00000220 66 bf 3e 1e bd 18 ff b7 e3 b1 c2 b6 ea 76 06 ba |f.>..........v..| +00000230 62 1e ed 67 53 97 7f 62 8c 3c 1e 6d ff 11 a5 e8 |b..gS..b.<.m....| +00000240 4c 34 69 73 f2 06 f1 1d 53 c4 de 09 e4 3b 3e 90 |L4is....S....;>.| +00000250 14 92 e5 d1 61 72 b4 25 1b 7b db a3 89 ca af 18 |....ar.%.{......| +00000260 f2 6f 8d 0a dd 67 c2 b2 9c f8 ae 0d b2 e5 55 08 |.o...g........U.| +00000270 fc 82 5b 1a a1 4e 4f 80 8d e4 ab 07 c0 8f 28 3d |..[..NO.......(=| +00000280 ed e3 19 3a fc 4a ca 82 2d ad 30 2c cd ac d8 bc |...:.J..-.0,....| +00000290 58 2d 79 94 b1 65 31 9a 78 61 9b 16 10 eb f2 a4 |X-y..e1.xa......| +000002a0 aa ed 16 b5 cc 0c fc 33 6b e9 f4 2c b5 77 8c 44 |.......3k..,.w.D| +000002b0 22 72 cb 59 bd 33 86 76 58 31 00 1e 91 aa 46 df |"r.Y.3.vX1....F.| +000002c0 c5 b6 5b f7 04 bb 76 26 69 a7 da 4f 71 bb 33 e3 |..[...v&i..Oq.3.| +000002d0 c3 f6 d9 ef 54 55 8b 16 f0 87 d0 ac aa 4a cb 66 |....TU.......J.f| +000002e0 13 ca 50 f4 dc 36 9f 09 5f f7 d7 3f 8e 93 97 a6 |..P..6.._..?....| +000002f0 6b 0f 01 6c 00 40 7c bb 5a 47 49 a6 6f 16 00 76 |k..l.@|.ZGI.o..v| +00000300 55 52 b2 14 54 07 3d 06 27 86 b3 e4 de 1d 21 61 |UR..T.=.'.....!a| +00000310 79 f8 89 17 03 03 00 99 8f 12 74 cf e0 11 87 91 |y.........t.....| +00000320 98 46 92 55 39 10 2c 6f 18 62 d5 37 87 a8 9b 32 |.F.U9.,o.b.7...2| +00000330 9d cc b9 e5 b0 08 d3 bd f1 f1 2d 59 2a cf bf de |..........-Y*...| +00000340 4d 9b 0a 47 1f 53 ea ee d7 4d 9f db 6b be 90 c0 |M..G.S...M..k...| +00000350 83 41 61 59 09 1f e0 4a cd 48 e3 cd a5 2b f5 24 |.AaY...J.H...+.$| +00000360 31 a7 b8 6e ce 70 5d 7e 2b 2c 86 ee 54 83 34 3e |1..n.p]~+,..T.4>| +00000370 04 b8 35 b6 9a c2 fd 2b e5 68 e6 c4 ea 1f 09 3d |..5....+.h.....=| +00000380 0c de e5 73 82 f4 41 5f 65 0d 3d fb 14 34 a0 55 |...s..A_e.=..4.U| +00000390 8a 42 d1 28 7f f8 16 96 43 76 ed 35 54 10 37 c2 |.B.(....Cv.5T.7.| +000003a0 49 5b b6 0e 96 ce 44 f0 90 d8 78 d2 51 69 cd 18 |I[....D...x.Qi..| +000003b0 60 17 03 03 00 35 06 bb dd 65 e2 aa 33 b9 c3 9f |`....5...e..3...| +000003c0 3a 07 fc 9b 3e 9a 25 9a 7a 50 dd 0c 15 63 b0 64 |:...>.%.zP...c.d| +000003d0 42 db 7a 58 a7 a6 95 2b d8 e4 76 63 8c fe 24 31 |B.zX...+..vc..$1| +000003e0 ca 83 26 26 72 65 05 f1 ff 47 91 |..&&re...G.| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 a3 f5 58 cc 46 |..........5..X.F| -00000010 2b 0c 94 b6 47 d2 ca 36 36 17 f4 68 e4 8c 2e c2 |+...G..66..h....| -00000020 c9 08 7b 28 f4 c8 63 8e 74 22 22 ed 0f d7 c5 dd |..{(..c.t"".....| -00000030 71 7f 42 28 73 a7 23 92 84 90 dd 6c 6d 2e b2 00 |q.B(s.#....lm...| -00000040 17 03 03 00 17 0b b0 ee 54 87 81 b9 bf 1c 17 87 |........T.......| -00000050 6f ab 30 a2 8d ff 0d 8f e4 5f 5e 97 17 03 03 00 |o.0......_^.....| -00000060 13 65 14 57 07 0e d8 13 75 a9 e3 b4 a5 31 0d 2e |.e.W....u....1..| -00000070 5a cd e8 2b |Z..+| +00000000 14 03 03 00 01 01 17 03 03 00 35 74 52 61 56 39 |..........5tRaV9| +00000010 15 65 33 f1 95 49 3e a0 a7 8f 32 03 07 74 7d ee |.e3..I>...2..t}.| +00000020 06 ed 30 74 f6 82 0d 8b 4d 93 a5 1e 87 6b a7 3a |..0t....M....k.:| +00000030 b7 c9 cd 3b 26 e0 3f 6e 61 33 cd 5f b0 6f 48 8c |...;&.?na3._.oH.| +00000040 17 03 03 00 17 b5 5a 8e 57 5e 44 9c ed 7a b4 16 |......Z.W^D..z..| +00000050 1f 4d 66 79 95 e0 0d c2 bd 53 14 b7 17 03 03 00 |.Mfy.....S......| +00000060 13 5a 95 7a 1e 57 ac a6 10 1a be 81 8f c3 a5 77 |.Z.z.W.........w| +00000070 3e fa 35 3b |>.5;| diff --git a/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest b/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest index dd8418d1c34..a5edcd6a908 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest +++ b/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f8 01 00 00 f4 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,14 +7,14 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 79 00 05 00 05 01 00 00 00 00 00 0a 00 |...y............| +00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| 00000090 06 00 04 00 1d 00 17 00 0b 00 02 01 00 00 0d 00 |................| -000000a0 1c 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 |................| -000000b0 01 06 01 05 03 06 03 02 01 02 03 fe 61 ff 01 00 |............a...| -000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| -000000d0 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d |....3.&.$... /.}| -000000e0 a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 |.G.bC.(.._.).0..| -000000f0 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |........_X.;t| +000000a0 1e 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 |................| +000000b0 01 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff |............a.b.| +000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| +000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| +000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| +000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| >>> Flow 2 (server to client) 00000000 16 03 03 00 58 02 00 00 54 03 03 cf 21 ad 74 e5 |....X...T...!.t.| 00000010 9a 61 11 be 1d 8c 02 1e 65 b8 91 c2 a2 11 16 7a |.a......e......z| @@ -24,7 +24,7 @@ 00000050 0c 00 2b 00 02 03 04 00 33 00 02 00 17 14 03 03 |..+.....3.......| 00000060 00 01 01 |...| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 16 03 03 01 19 01 00 01 15 03 |................| +00000000 14 03 03 00 01 01 16 03 03 01 1b 01 00 01 17 03 |................| 00000010 03 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000030 00 20 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |. ..............| @@ -32,88 +32,88 @@ 00000050 00 00 00 32 cc a8 cc a9 c0 2f c0 2b c0 30 c0 2c |...2...../.+.0.,| 00000060 c0 27 c0 13 c0 23 c0 09 c0 14 c0 0a 00 9c 00 9d |.'...#..........| 00000070 00 3c 00 2f 00 35 c0 12 00 0a 00 05 c0 11 c0 07 |.<./.5..........| -00000080 13 01 13 03 13 02 01 00 00 9a 00 05 00 05 01 00 |................| +00000080 13 01 13 03 13 02 01 00 00 9c 00 05 00 05 01 00 |................| 00000090 00 00 00 00 0a 00 06 00 04 00 1d 00 17 00 0b 00 |................| -000000a0 02 01 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 |................| +000000a0 02 01 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 |................| 000000b0 05 08 06 04 01 05 01 06 01 05 03 06 03 02 01 02 |................| -000000c0 03 fe 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |..a..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 47 00 45 00 |..........3.G.E.| -000000e0 17 00 41 04 1e 18 37 ef 0d 19 51 88 35 75 71 b5 |..A...7...Q.5uq.| -000000f0 e5 54 5b 12 2e 8f 09 67 fd a7 24 20 3e b2 56 1c |.T[....g..$ >.V.| -00000100 ce 97 28 5e f8 2b 2d 4f 9e f1 07 9f 6c 4b 5b 83 |..(^.+-O....lK[.| -00000110 56 e2 32 42 e9 58 b6 d7 49 a6 b5 68 1a 41 03 56 |V.2B.X..I..h.A.V| -00000120 6b dc 5a 89 |k.Z.| +000000c0 03 fe 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b |..a.b..........+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 47 00 |............3.G.| +000000e0 45 00 17 00 41 04 1e 18 37 ef 0d 19 51 88 35 75 |E...A...7...Q.5u| +000000f0 71 b5 e5 54 5b 12 2e 8f 09 67 fd a7 24 20 3e b2 |q..T[....g..$ >.| +00000100 56 1c ce 97 28 5e f8 2b 2d 4f 9e f1 07 9f 6c 4b |V...(^.+-O....lK| +00000110 5b 83 56 e2 32 42 e9 58 b6 d7 49 a6 b5 68 1a 41 |[.V.2B.X..I..h.A| +00000120 03 56 6b dc 5a 89 |.Vk.Z.| >>> Flow 4 (server to client) -00000000 16 03 03 00 9b 02 00 00 97 03 03 fe 05 9d 91 e6 |................| -00000010 0f 07 4b 9f f5 6c c0 ba e0 51 96 b4 1f fd cb d3 |..K..l...Q......| -00000020 53 a6 32 57 5c f2 cb bd 37 df e1 20 00 00 00 00 |S.2W\...7.. ....| +00000000 16 03 03 00 9b 02 00 00 97 03 03 11 17 4f b6 cd |.............O..| +00000010 aa 33 7e 5f fb 63 e9 86 2f 2b 20 f3 b6 33 e2 d6 |.3~_.c../+ ..3..| +00000020 20 81 18 7a 05 23 58 00 f6 b3 e0 20 00 00 00 00 | ..z.#X.... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| 00000050 4f 00 2b 00 02 03 04 00 33 00 45 00 17 00 41 04 |O.+.....3.E...A.| -00000060 b5 b2 67 96 84 b1 26 62 c5 f9 37 32 d0 ac c5 6a |..g...&b..72...j| -00000070 18 9f f0 d5 dd 5c fb e0 b2 a9 43 de d6 70 7f 1c |.....\....C..p..| -00000080 4e 98 7e 30 43 20 0e 22 f3 26 4e 2d 72 dd 54 5b |N.~0C .".&N-r.T[| -00000090 b5 6c f5 ba a7 95 ad 98 80 81 24 53 fb 1c b5 5a |.l........$S...Z| -000000a0 17 03 03 00 17 21 2c 99 e1 34 46 d0 48 ae c9 7b |.....!,..4F.H..{| -000000b0 d5 e5 e7 74 89 5b e1 c4 cd 5b 31 92 17 03 03 02 |...t.[...[1.....| -000000c0 6d a7 83 3a 0c 70 9b dc 89 e7 3d fe 70 05 44 37 |m..:.p....=.p.D7| -000000d0 c6 1c 7d 64 86 25 72 2c 2d f9 34 3b 26 84 f7 95 |..}d.%r,-.4;&...| -000000e0 ae 2e 29 d0 b8 38 fa ac c5 83 47 7e 8d 9c dd 74 |..)..8....G~...t| -000000f0 d4 ef 83 2d b6 69 3d 01 33 1f 95 cd 14 4d 59 be |...-.i=.3....MY.| -00000100 b6 d0 fe 73 d5 2a f3 34 66 57 99 e2 b4 9d 76 52 |...s.*.4fW....vR| -00000110 e8 ca 03 93 8f fc cc 4b 61 4b 74 81 23 bd c4 cd |.......KaKt.#...| -00000120 6e c8 c2 77 7c fc 52 36 ef f1 f6 ff 99 9d 6a 37 |n..w|.R6......j7| -00000130 f8 69 fa d1 f3 e5 32 a0 4e 11 2e 0f b3 b9 7d 5e |.i....2.N.....}^| -00000140 dd d4 46 48 5b db 38 b8 ec 5c 8b 6a fd 8a 3c 92 |..FH[.8..\.j..<.| -00000150 d4 05 00 22 eb 25 9a cc 6b 94 a3 89 1b 6c 32 d2 |...".%..k....l2.| -00000160 24 ef 21 e7 6d 5b 79 70 bb 04 24 53 80 ce fd a0 |$.!.m[yp..$S....| -00000170 4a e2 8d 63 d7 c4 82 66 fa 2c 2c c0 14 8c cb be |J..c...f.,,.....| -00000180 bc b3 33 2a 42 4b 32 45 d6 f3 1f d7 98 cb 32 b7 |..3*BK2E......2.| -00000190 eb da dd 71 18 61 cf 62 1c 52 77 7a b2 0d ce 25 |...q.a.b.Rwz...%| -000001a0 e7 cc 4f 1e 51 31 e0 1f d0 52 bd 41 47 d5 66 22 |..O.Q1...R.AG.f"| -000001b0 a2 ae b9 e5 c3 33 96 82 49 a9 ca bc 19 39 fb 5a |.....3..I....9.Z| -000001c0 e9 c0 4d 41 3a d4 ab d2 ba 1b 39 7e 86 bc 12 91 |..MA:.....9~....| -000001d0 e5 68 92 3c a0 de f7 48 f4 cd aa 6b 14 91 e7 73 |.h.<...H...k...s| -000001e0 7b ae f8 4b 6d 41 a5 50 7b a8 58 00 10 50 53 66 |{..KmA.P{.X..PSf| -000001f0 4b bb 89 30 5a 1f 6b b1 2f b9 8b c5 35 73 f5 08 |K..0Z.k./...5s..| -00000200 b2 a9 69 f8 94 0c c8 15 74 6e ac 1a 60 32 63 5d |..i.....tn..`2c]| -00000210 1c 1a 63 99 fd 2e 24 1c 8f 79 6f 7d 33 23 7a 65 |..c...$..yo}3#ze| -00000220 7f 49 50 9a 42 09 cf 08 62 d0 61 82 01 e8 2c 63 |.IP.B...b.a...,c| -00000230 65 da a6 e8 ef 7a 07 1f 32 1a 11 01 84 03 7a c7 |e....z..2.....z.| -00000240 8f 84 a6 87 d8 56 29 fd b5 a0 3d 7d 7e d4 ab b4 |.....V)...=}~...| -00000250 87 a0 03 72 c2 be 5f de 2c e1 1e 3a 24 fd fe 6a |...r.._.,..:$..j| -00000260 a4 eb b6 5e 1c 9a 26 dd 15 b9 2f 03 20 a1 a2 d8 |...^..&.../. ...| -00000270 f2 ee 2d df 5b d0 46 4b 85 be 15 f3 a7 8b de 9d |..-.[.FK........| -00000280 03 fd cd 4e af 0d 74 ec 25 f6 62 3b 08 71 10 3e |...N..t.%.b;.q.>| -00000290 40 be 45 d9 50 a2 47 49 bf 83 07 50 ae 1e 2b 02 |@.E.P.GI...P..+.| -000002a0 42 eb a3 a4 b0 f3 da 84 80 70 45 67 76 68 4d 42 |B........pEgvhMB| -000002b0 7d 04 38 cd e7 ea 2b d3 e3 dc 2d f9 ca cd 0e da |}.8...+...-.....| -000002c0 26 ed 12 b3 74 7b ca 95 27 9e d2 a1 60 6b 45 9f |&...t{..'...`kE.| -000002d0 d9 a9 58 38 a4 71 6e 6e 40 43 b3 b3 91 b8 53 f2 |..X8.qnn@C....S.| -000002e0 00 ae c6 86 c3 18 0c b5 be 28 2c 3c a0 05 a8 f1 |.........(,<....| -000002f0 15 ef ad 1d d2 de 98 26 27 94 35 18 db 27 44 f6 |.......&'.5..'D.| -00000300 e3 bc e7 f4 16 11 66 8c 08 6e 4d 85 c7 8e c8 1e |......f..nM.....| -00000310 e9 d4 f2 50 c2 85 c7 d4 bf 08 b6 f7 e2 e6 0d fd |...P............| -00000320 7f 0a a7 73 50 94 05 9e 4f 92 93 f6 6c 1b 17 03 |...sP...O...l...| -00000330 03 00 99 28 bd 9c 91 e4 cb d1 70 ff 2d fe 25 d4 |...(......p.-.%.| -00000340 22 7d dd 00 ce f5 49 67 e3 83 28 41 13 42 7b ba |"}....Ig..(A.B{.| -00000350 ad 24 bc c2 6a 89 46 e2 88 75 19 03 6c a2 f0 46 |.$..j.F..u..l..F| -00000360 13 87 d3 33 fb e1 f2 ce 44 50 e0 cf a2 b1 c4 a6 |...3....DP......| -00000370 15 12 10 69 c5 1d 82 81 26 73 4d 6a 93 21 8c a5 |...i....&sMj.!..| -00000380 49 79 5c 7a ea 68 6c 50 de 40 8f 31 a1 d5 78 45 |Iy\z.hlP.@.1..xE| -00000390 43 8f de bb 7c 20 9b 35 8d 59 cf a0 73 81 3e 29 |C...| .5.Y..s.>)| -000003a0 97 da dc 5b 67 4e 2c bc 39 35 bf e2 a7 e0 66 38 |...[gN,.95....f8| -000003b0 6a 54 e1 ac 97 9a 51 59 40 dc db 28 ce ae 3c 24 |jT....QY@..(..<$| -000003c0 f0 93 a6 55 f0 15 84 14 98 5d b8 a4 17 03 03 00 |...U.....]......| -000003d0 35 6e 1a aa 44 45 85 c2 29 8f c0 ff f0 64 78 e6 |5n..DE..)....dx.| -000003e0 81 a9 65 71 17 96 c6 51 1c ba ac 99 11 e3 7b c8 |..eq...Q......{.| -000003f0 5d d8 3f 40 0c a5 46 f6 fb 8a 89 85 ee b1 67 64 |].?@..F.......gd| -00000400 f2 3e 5e 2f bd 97 |.>^/..| +00000060 d8 2f 58 31 71 9b e8 59 00 1a 17 d5 53 cb 8f 98 |./X1q..Y....S...| +00000070 8b 0b 69 20 12 7d 7b f8 c9 e9 ec bf e7 ec b5 4b |..i .}{........K| +00000080 9f bc 61 be 03 ae 97 ac 96 ed c3 7e a5 96 e2 16 |..a........~....| +00000090 bd da da 5f 1f 13 7a fb f5 78 da 1b 50 4c 4e 47 |..._..z..x..PLNG| +000000a0 17 03 03 00 17 d8 9b d7 0b 5c 11 83 6a dd 52 11 |.........\..j.R.| +000000b0 a5 6d 53 7c b5 b1 e6 1b 66 7e 84 b0 17 03 03 02 |.mS|....f~......| +000000c0 6d c6 84 4f 60 35 2f c8 f0 20 2b f2 1b a5 02 fd |m..O`5/.. +.....| +000000d0 18 77 e4 c0 0f 3a c1 8e 30 90 c7 f0 af a5 f2 29 |.w...:..0......)| +000000e0 4b e9 27 16 ef 41 cf 01 3d cc 63 75 41 ab e9 1f |K.'..A..=.cuA...| +000000f0 d6 8c 1d c2 5d aa a3 26 67 4e 22 55 76 4d e2 c5 |....]..&gN"UvM..| +00000100 7a f7 67 17 eb e5 d9 35 22 96 1b 38 e3 42 74 d3 |z.g....5"..8.Bt.| +00000110 2c d3 f2 46 58 c7 4a c1 53 4d 2f b1 f0 d2 d7 6b |,..FX.J.SM/....k| +00000120 ae bd 8d d7 d7 9e 1d a6 03 fd c5 99 15 f5 95 e2 |................| +00000130 76 55 39 53 f1 73 7f 17 47 b4 a2 31 4f 62 71 60 |vU9S.s..G..1Obq`| +00000140 bb 11 00 92 57 16 fd 25 38 dc c4 b3 cd b8 7c 81 |....W..%8.....|.| +00000150 dc c4 b8 fb 70 74 60 ee 78 56 be 1a 8d 60 fb 8b |....pt`.xV...`..| +00000160 65 75 fd bf e1 9c 20 01 a1 24 ac 14 02 ff e6 f6 |eu.... ..$......| +00000170 2f 02 32 1f 88 2a f1 69 02 d6 0b 89 01 b8 74 3f |/.2..*.i......t?| +00000180 b4 3d 3e af a4 a4 9c 0c 57 fe d5 15 0b 51 7b ed |.=>.....W....Q{.| +00000190 47 62 7b 04 9f 58 6e 60 8e 57 c5 1c bc 34 51 85 |Gb{..Xn`.W...4Q.| +000001a0 db 0a 02 44 f3 eb a8 8b 80 a6 25 c5 70 89 d5 44 |...D......%.p..D| +000001b0 fb 69 70 eb da 82 94 54 06 22 10 43 5d 2d aa 16 |.ip....T.".C]-..| +000001c0 6b b4 46 4f e3 75 9d 98 fc 25 e9 74 42 4a b6 80 |k.FO.u...%.tBJ..| +000001d0 13 42 9a 88 4a a4 75 84 5b dd 14 ed f5 3a 0a 4c |.B..J.u.[....:.L| +000001e0 d5 18 47 e1 34 74 48 6c 4f 99 ce 30 31 bf 63 80 |..G.4tHlO..01.c.| +000001f0 65 04 c3 88 eb 49 03 38 fb 30 47 d3 ff 59 58 9e |e....I.8.0G..YX.| +00000200 fa bb 58 74 2d d0 38 83 e3 99 df 68 5d 30 74 f1 |..Xt-.8....h]0t.| +00000210 1b 96 ba 0b b6 07 8f ae 22 0c 93 5b ac cd 41 d2 |........"..[..A.| +00000220 f1 13 e1 59 ce 20 6c 75 d5 a6 ad a3 08 40 0d 74 |...Y. lu.....@.t| +00000230 e8 45 28 e0 8a 19 e6 e5 10 e6 7b 02 d6 8a 93 30 |.E(.......{....0| +00000240 e6 d5 18 ee d8 c0 7b 41 73 00 61 b4 87 1c df e3 |......{As.a.....| +00000250 a1 62 ea 86 9c 8b ea 70 db 49 91 49 a6 c8 fd a7 |.b.....p.I.I....| +00000260 c6 60 ba cd 67 4c 7f 65 5f 3e 44 32 a9 76 65 1f |.`..gL.e_>D2.ve.| +00000270 fe 64 ca 05 77 12 75 15 2f b7 76 5b 07 f1 06 cb |.d..w.u./.v[....| +00000280 fa 90 89 0c bb c7 b3 75 f1 e3 68 21 ef d2 db c3 |.......u..h!....| +00000290 de d3 19 70 03 05 92 3c 9f 3e 9d 3f 9f 02 eb 74 |...p...<.>.?...t| +000002a0 4c 15 b9 85 12 48 9c 8d f5 e9 4e 5a f3 8d b2 83 |L....H....NZ....| +000002b0 1e 36 5b f8 3b 0c 19 24 12 eb a7 4a 3c 48 67 3c |.6[.;..$...J...)...X=d| +000003b0 5f df 66 0e f9 f7 68 26 0e 91 a6 2d 26 a1 d2 e8 |_.f...h&...-&...| +000003c0 c3 96 88 cb df 5b 93 c8 87 48 c0 fa 17 03 03 00 |.....[...H......| +000003d0 35 50 c0 75 7a b6 47 56 c0 2e 15 e7 7c 62 7b 8f |5P.uz.GV....|b{.| +000003e0 05 d6 62 36 68 1e d2 bf 59 0a 16 d6 df ac 69 e4 |..b6h...Y.....i.| +000003f0 6d 79 69 92 c1 fe f4 68 d8 8f 9c 4e bb d6 99 54 |myi....h...N...T| +00000400 ee 55 c0 59 c7 22 |.U.Y."| >>> Flow 5 (client to server) -00000000 17 03 03 00 35 31 45 d8 69 c6 de fe 8c 65 4c d8 |....51E.i....eL.| -00000010 51 24 b8 65 3b e0 1e 9e c2 56 ba a3 64 bd f5 ad |Q$.e;....V..d...| -00000020 1f d5 00 37 38 41 01 cf 3f 7e ff b0 56 9b 07 f8 |...78A..?~..V...| -00000030 9b 28 e6 71 82 c7 26 ac 0e 4f 17 03 03 00 17 ca |.(.q..&..O......| -00000040 a9 e1 dd a0 a5 62 80 09 b4 e8 7c 4a 5c 9f 0a d6 |.....b....|J\...| -00000050 12 bf a0 f2 c1 87 17 03 03 00 13 e6 b1 28 64 2c |.............(d,| -00000060 80 bd b5 2e af 22 b1 c2 52 92 00 7e 08 b6 |....."..R..~..| +00000000 17 03 03 00 35 5c a6 f3 a8 68 5e 97 0f bd 98 45 |....5\...h^....E| +00000010 09 34 3c 00 80 65 0f 98 b3 a0 f3 f8 ba e3 43 81 |.4<..e........C.| +00000020 55 a7 d6 19 04 b6 71 a3 d5 02 52 45 d4 48 36 79 |U.....q...RE.H6y| +00000030 42 23 6e aa 8d 47 60 5f 94 0a 17 03 03 00 17 91 |B#n..G`_........| +00000040 be 3a b7 09 8d e5 50 04 f1 c5 49 53 d2 84 79 bb |.:....P...IS..y.| +00000050 00 e6 b5 c4 17 d2 17 03 03 00 13 c4 60 19 a8 75 |............`..u| +00000060 d3 09 21 87 b1 e5 fa b2 0d e4 7b 02 ac 54 |..!.......{..T| diff --git a/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate b/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate index 9780757f3fe..12434293d77 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate +++ b/src/crypto/tls/testdata/Client-TLSv13-KeyUpdate @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,97 +7,97 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| +00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1c 00 1a 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |a..........+....| -000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| -000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| -000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| -00000100 74 |t| +000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| +000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| +000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| +000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| +00000100 cb 3b 74 |.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 a7 f3 6e e7 a6 |....z...v....n..| -00000010 45 20 e2 7f db f1 08 86 95 bc a4 c9 07 0f 4a fc |E ............J.| -00000020 15 e0 80 02 e9 e5 d8 a8 f1 bc 21 20 00 00 00 00 |..........! ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 03 68 d0 74 15 |....z...v...h.t.| +00000010 4d 65 57 7b 24 c7 ea 66 46 f5 e8 60 e0 d8 99 4b |MeW{$..fF..`...K| +00000020 ce df 79 b1 78 cc 81 77 c2 ab a6 20 00 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+00000070 bb 5b 4d 69 50 e1 aa c9 25 7f bf f0 fd 37 64 14 |.[MiP...%....7d.| +00000080 03 03 00 01 01 17 03 03 00 17 4d 26 f1 a1 77 fc |..........M&..w.| +00000090 ca 35 cc 9f 95 7a a5 d2 91 66 78 d1 31 3c 37 53 |.5...z...fx.1<7S| +000000a0 c3 17 03 03 02 6d 02 51 82 53 fb ab c3 88 22 05 |.....m.Q.S....".| +000000b0 88 c5 03 e0 12 88 25 c9 ff f9 3b 18 8b f5 bf 16 |......%...;.....| +000000c0 f3 c4 b2 f8 1d e5 39 8b 45 1b 58 91 c8 c2 de 90 |......9.E.X.....| +000000d0 46 50 eb 13 a0 a3 8a ea 1d 63 e4 0f 3c ec 8c 16 |FP.......c..<...| +000000e0 4f 9e 87 b2 a9 4b 5a 1d 70 3f 42 fa a5 15 2f 08 |O....KZ.p?B.../.| +000000f0 85 5d bd 1b 45 00 ea be 37 aa fc 32 15 7d 74 22 |.]..E...7..2.}t"| +00000100 d8 6a 85 f7 a3 14 e8 96 7b 04 0b 1c 83 d0 03 5b |.j......{......[| +00000110 ea 41 0c a9 62 40 d0 cb 93 a1 89 6b 47 40 21 2b |.A..b@.....kG@!+| +00000120 a7 16 2a 47 85 cc b0 38 72 2d 06 6b 9e 0c 6d 6d |..*G...8r-.k..mm| +00000130 a9 da 54 7f 0c 0d d6 d4 52 14 b9 45 3e 24 73 c3 |..T.....R..E>$s.| +00000140 8c 6d 68 9e f1 81 28 82 77 ac e0 ad 3c 88 53 76 |.mh...(.w...<.Sv| +00000150 2c 69 b0 37 41 02 62 3a 61 0d 3c ee f7 f4 df 08 |,i.7A.b:a.<.....| +00000160 b9 fc 1d 6b 74 18 30 ae d6 d3 48 2f e0 e6 14 81 |...kt.0...H/....| +00000170 be 86 8d ee 37 d4 3e 97 86 08 30 e7 e5 0b 72 93 |....7.>...0...r.| +00000180 b4 1e 42 d3 db 86 ca 42 00 cb 1c 08 a6 41 9c d7 |..B....B.....A..| +00000190 80 ef 84 9c 3b 17 56 46 c8 41 31 8a 11 86 73 c7 |....;.VF.A1...s.| +000001a0 3c 58 32 2b 75 fb 56 e8 f3 e7 9d 98 0f 38 67 6d |.......f.G.| +00000220 bb bc 92 57 55 b4 ef 36 2b de b2 a8 66 b9 fb d5 |...WU..6+...f...| +00000230 18 70 b1 76 72 50 1c 8b c7 50 49 f4 62 8b 03 15 |.p.vrP...PI.b...| +00000240 b9 82 77 3b b8 d8 d4 9b 05 3e 12 03 be 02 04 99 |..w;.....>......| +00000250 41 84 43 e7 13 70 13 36 08 07 8b 0b 0a 20 a2 1b |A.C..p.6..... ..| +00000260 77 bb 39 27 e5 ee df d5 b4 0e f1 d0 07 c1 20 5a |w.9'.......... Z| +00000270 73 94 96 d3 71 7c ae 53 ac 71 ac c4 d1 ae 77 c7 |s...q|.S.q....w.| +00000280 72 70 aa 93 cc fb 3c 6a 13 b9 3d a4 6d 37 10 86 |rp.....| +000002c0 67 31 9a 0d 8f 6e 49 5d bf 34 c7 7e 4a 8c c9 34 |g1...nI].4.~J..4| +000002d0 8d d6 f1 48 0a 90 08 a0 ee cd 38 90 74 3e 55 2a |...H......8.t>U*| +000002e0 34 e8 49 34 1e 04 d1 8f 4d c9 b4 45 e4 9b 1a 7a |4.I4....M..E...z| +000002f0 7f 1a ee e0 cd 32 d8 a6 55 db 8e 5c d6 86 bc a8 |.....2..U..\....| +00000300 8d b4 d0 00 82 b4 fe cc 86 db 5e 41 b2 00 ff fd |..........^A....| +00000310 47 57 a8 17 03 03 00 99 b0 da f6 53 f2 e3 c6 75 |GW.........S...u| +00000320 9e 2c dd 21 8c 13 6c c5 59 23 32 06 81 5f d7 2f |.,.!..l.Y#2.._./| +00000330 ba 5d 7c 57 29 65 7f d7 1c 8c 70 18 a9 95 f0 03 |.]|W)e....p.....| +00000340 0b 4c d9 f6 f9 ff 41 df b6 b8 60 02 a0 49 9b 46 |.L....A...`..I.F| +00000350 da 91 41 c9 3b 10 4e 73 29 77 31 6a 10 47 cd aa |..A.;.Ns)w1j.G..| +00000360 f5 11 13 d2 57 13 6e 34 cc d7 cf 81 73 89 9d 79 |....W.n4....s..y| +00000370 69 7a 51 21 99 4d 60 b9 f0 28 62 45 31 aa c9 9b |izQ!.M`..(bE1...| +00000380 78 13 86 a6 31 85 59 6a d4 25 c8 d7 3a 0b f3 4e |x...1.Yj.%..:..N| +00000390 fa 7d e1 a7 12 ad c6 dd ac 0f 77 be 99 32 0c 7c |.}........w..2.|| +000003a0 07 e8 90 a2 19 c7 3b 93 93 10 a7 46 ad 10 ac 1f |......;....F....| +000003b0 2f 17 03 03 00 35 cd 23 e0 73 4e 59 bc 93 af 15 |/....5.#.sNY....| +000003c0 08 38 ab 7d 42 d3 43 f6 29 78 cb 7c 42 4b a3 7e |.8.}B.C.)x.|BK.~| +000003d0 3d c4 43 d2 22 26 c5 4c 93 4c 86 62 3a 36 48 41 |=.C."&.L.L.b:6HA| +000003e0 7e d8 05 74 e9 dc fd 7d e8 1e 1e |~..t...}...| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 bd f0 7c db c4 |..........5..|..| -00000010 76 29 4a e7 47 6c 35 83 8a 27 57 c8 76 e7 48 4c |v)J.Gl5..'W.v.HL| -00000020 ac fa 0b 22 24 c2 c5 c0 a9 4f 3d c4 3c 98 2c 82 |..."$....O=.<.,.| -00000030 33 c3 e3 1c 82 13 40 5a 75 75 ec 0c 55 85 87 23 |3.....@Zuu..U..#| -00000040 17 03 03 00 17 b7 b2 fc 40 86 e5 9e e6 d5 0b 0e |........@.......| -00000050 92 7d b3 21 56 c3 0d 4f 1a 32 d7 5e |.}.!V..O.2.^| +00000000 14 03 03 00 01 01 17 03 03 00 35 bc 79 73 ca 88 |..........5.ys..| +00000010 36 b9 48 ee 26 d0 ca 62 19 4d 12 ca 36 20 1b 68 |6.H.&..b.M..6 .h| +00000020 41 21 1b 74 f5 75 ee 19 45 06 6e a4 03 2e 73 21 |A!.t.u..E.n...s!| +00000030 41 12 6b bc 15 9d 95 4b 4a 6b d2 2a af 05 0c d2 |A.k....KJk.*....| +00000040 17 03 03 00 17 ee 67 72 53 7b a4 d1 e5 61 11 b2 |......grS{...a..| +00000050 b0 c1 1a a8 3c aa 52 71 1c 7e dd 0e |....<.Rq.~..| >>> Flow 4 (server to client) -00000000 17 03 03 00 16 77 73 8e 35 9f 5e 51 c1 c3 23 4b |.....ws.5.^Q..#K| -00000010 28 7f a1 ed c2 ee 59 d8 af 4f 60 |(.....Y..O`| +00000000 17 03 03 00 16 ed d7 eb fe e6 be 0c 54 53 7e 0d |............TS~.| +00000010 f6 06 37 d0 e0 fa 1c e7 72 91 7b |..7.....r.{| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 fc a5 3f 87 d2 53 c9 0d 2d 91 c5 |.......?..S..-..| -00000010 4f d3 78 7e fa 2a 27 d7 2a 01 b0 |O.x~.*'.*..| +00000000 17 03 03 00 16 bb c8 0d 47 c9 f7 f4 eb 61 94 65 |........G....a.e| +00000010 4f 0c 04 b2 5b 65 c4 7b 47 e9 3c |O...[e.{G.<| >>> Flow 6 (server to client) -00000000 17 03 03 00 1a 92 b9 34 59 80 21 f1 dd 73 09 5f |.......4Y.!..s._| -00000010 6b 27 f2 98 24 b5 11 b3 e7 4a f8 bc 2f 89 83 |k'..$....J../..| +00000000 17 03 03 00 1a 6a c8 3f 0c 7f 80 93 78 84 c9 8e |.....j.?....x...| +00000010 77 cf 37 8e ce 18 46 cc c3 8c 43 0e 36 5f c7 |w.7...F...C.6_.| >>> Flow 7 (client to server) -00000000 17 03 03 00 1d 0c a0 73 89 6c 4e ec 36 5e af 69 |.......s.lN.6^.i| -00000010 af 86 21 de 70 20 fd e0 37 bb 98 cf 1e f3 fe b1 |..!.p ..7.......| -00000020 7e eb 17 03 03 00 13 c1 cd 6f a1 21 a3 39 d7 d6 |~........o.!.9..| -00000030 05 6c 30 27 ff ac 92 0e 29 ee |.l0'....).| +00000000 17 03 03 00 1d 8c e9 d0 ca 3f f0 81 16 8f e8 92 |.........?......| +00000010 81 12 5a 71 83 da 2b 89 cb 65 0d 5e dd 58 4d 35 |..Zq..+..e.^.XM5| +00000020 ed 7d 17 03 03 00 13 c7 84 af e8 78 e1 d4 ff 82 |.}.........x....| +00000030 8a d5 9a b4 34 f0 b2 6e e9 05 |....4..n..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE b/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE index a265ed3bf1e..f95fbd20842 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 17 01 00 01 13 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 19 01 00 01 15 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,88 +7,88 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 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|..L....VCS. | >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 64 e1 2a 4b 9b |..........5d.*K.| -00000010 86 9d 31 09 2a 10 6b e3 85 96 e1 12 96 10 9c 95 |..1.*.k.........| -00000020 ec a9 de 50 44 87 6d 92 1d 7d 9e fc e9 c7 37 96 |...PD.m..}....7.| -00000030 89 5c 14 4b 2e 52 6e 14 85 64 6f 87 c0 62 1b 07 |.\.K.Rn..do..b..| -00000040 17 03 03 00 17 33 3b 3d 38 90 cb 5c d3 e3 9b eb |.....3;=8..\....| -00000050 be 25 db 88 71 54 91 23 0a 6d 59 81 17 03 03 00 |.%..qT.#.mY.....| -00000060 13 d6 16 4a 49 17 e8 e5 7d 59 4e cb 6f 5c 48 39 |...JI...}YN.o\H9| -00000070 e7 1b ab 93 |....| +00000000 14 03 03 00 01 01 17 03 03 00 35 99 0c b4 26 5d |..........5...&]| +00000010 94 46 b7 0c f3 33 44 86 c1 eb ba 18 52 16 05 16 |.F...3D.....R...| +00000020 9c 91 52 23 2f c8 fd fb 86 b4 0c d5 af d3 1a b6 |..R#/...........| +00000030 a3 13 f7 c8 ee 7a ef a6 cc 94 8c e6 d5 a6 0b f8 |.....z..........| +00000040 17 03 03 00 17 d8 04 0a bc 4e f1 2a d9 b1 68 ae |.........N.*..h.| +00000050 64 7b 04 b9 e2 14 55 09 3a 46 c4 ce 17 03 03 00 |d{....U.:F......| +00000060 13 6a f4 71 86 ea 9e f6 c9 79 64 0c 1c 5b b6 dd |.j.q.....yd..[..| +00000070 2f c5 23 1f |/.#.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE b/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE index 77077dc0374..89dca857f59 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f6 01 00 00 f2 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 f8 01 00 00 f4 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,84 +7,84 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 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T..c..| +00000150 1e 24 c4 f3 1d 1a 50 8b aa b6 14 43 ed 97 a7 75 |.$....P....C...u| +00000160 62 f4 14 c8 52 d7 02 03 01 00 01 a3 81 93 30 81 |b...R.........0.| +00000170 90 30 0e 06 03 55 1d 0f 01 01 ff 04 04 03 02 05 |.0...U..........| +00000180 a0 30 1d 06 03 55 1d 25 04 16 30 14 06 08 2b 06 |.0...U.%..0...+.| +00000190 01 05 05 07 03 01 06 08 2b 06 01 05 05 07 03 02 |........+.......| +000001a0 30 0c 06 03 55 1d 13 01 01 ff 04 02 30 00 30 19 |0...U.......0.0.| +000001b0 06 03 55 1d 0e 04 12 04 10 9f 91 16 1f 43 43 3e |..U..........CC>| +000001c0 49 a6 de 6d b6 80 d7 9f 60 30 1b 06 03 55 1d 23 |I..m....`0...U.#| +000001d0 04 14 30 12 80 10 48 13 49 4d 13 7e 16 31 bb a3 |..0...H.IM.~.1..| +000001e0 01 d5 ac ab 6e 7b 30 19 06 03 55 1d 11 04 12 30 |....n{0...U....0| +000001f0 10 82 0e 65 78 61 6d 70 6c 65 2e 67 6f 6c 61 6e |...example.golan| +00000200 67 30 0d 06 09 2a 86 48 86 f7 0d 01 01 0b 05 00 |g0...*.H........| +00000210 03 81 81 00 9d 30 cc 40 2b 5b 50 a0 61 cb ba e5 |.....0.@+[P.a...| +00000220 53 58 e1 ed 83 28 a9 58 1a a9 38 a4 95 a1 ac 31 |SX...(.X..8....1| +00000230 5a 1a 84 66 3d 43 d3 2d d9 0b f2 97 df d3 20 64 |Z..f=C.-...... d| +00000240 38 92 24 3a 00 bc cf 9c 7d b7 40 20 01 5f aa d3 |8.$:....}.@ ._..| +00000250 16 61 09 a2 76 fd 13 c3 cc e1 0c 5c ee b1 87 82 |.a..v......\....| +00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| +00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| +00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| +00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| +000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| +000002c0 16 03 03 00 04 0e 00 00 00 |.........| >>> Flow 3 (client to server) 00000000 16 03 03 01 3c 0b 00 01 38 00 01 35 00 01 32 30 |....<...8..5..20| 00000010 82 01 2e 30 81 e1 a0 03 02 01 02 02 10 17 d1 81 |...0............| @@ -89,23 +74,36 @@ 00000110 8a 4e 34 40 39 d6 b3 10 dc 19 fe a0 22 71 b3 f5 |.N4@9......."q..| 00000120 8f a1 58 0d cd f4 f1 85 24 bf e6 3d 14 df df ed |..X.....$..=....| 00000130 0e e1 17 d8 11 a2 60 d0 8a 37 23 2a c2 46 aa 3a |......`..7#*.F.:| -00000140 08 16 03 03 00 25 10 00 00 21 20 f6 20 f2 db 22 |.....%...! . .."| -00000150 57 01 6b b4 e5 e1 af 53 2d 74 f0 fa d6 e5 1c 07 |W.k....S-t......| -00000160 25 e6 22 6c 0a 2a 0a da 2c aa 13 16 03 03 00 48 |%."l.*..,......H| -00000170 0f 00 00 44 08 07 00 40 c4 4e 87 6f 2d 49 a3 99 |...D...@.N.o-I..| -00000180 67 47 c7 24 66 94 54 f3 d6 44 9d 5b 0a c2 cc aa |gG.$f.T..D.[....| -00000190 ef 84 03 2a d8 16 08 0a 5b 7a ac 96 a1 cf 2a f8 |...*....[z....*.| -000001a0 c4 4d 37 e8 95 2b 92 1d ea d0 4d ee c5 95 80 a5 |.M7..+....M.....| -000001b0 3d 77 7c bc 2c c7 14 0e 14 03 03 00 01 01 16 03 |=w|.,...........| -000001c0 03 00 28 e2 6b d5 9f 31 d8 6d 33 a3 81 8c 7e c1 |..(.k..1.m3...~.| -000001d0 ef 51 59 6e 1b 91 54 ef c1 34 3e b7 48 09 44 cc |.QYn..T..4>.H.D.| -000001e0 fb eb d4 45 79 51 dd 12 48 e0 88 |...EyQ..H..| +00000140 08 16 03 03 00 86 10 00 00 82 00 80 90 99 2d cf |..............-.| +00000150 77 18 89 f7 b2 97 8c 1a a1 01 a8 43 ad 49 4c df |w..........C.IL.| +00000160 1f d2 3e 6a 1f f7 10 96 2c 02 1c 11 be 73 ed 30 |..>j....,....s.0| +00000170 d3 a1 86 55 c2 d2 e8 a0 19 88 1b 7c ea dc b9 d8 |...U.......|....| +00000180 ef f7 43 39 b1 89 75 38 0a d0 47 9e 22 02 8b a2 |..C9..u8..G."...| +00000190 c3 e5 0d 74 c5 ca 40 10 7f b5 76 91 95 73 2f d7 |...t..@...v..s/.| +000001a0 93 49 97 b9 93 55 6c 99 fe 8e ce d0 23 d7 d7 a2 |.I...Ul.....#...| +000001b0 89 3a 61 ab 8c 92 38 24 94 61 e3 78 0b fe 73 71 |.:a...8$.a.x..sq| +000001c0 b8 57 c2 d8 bb b8 ea 99 03 e6 8e c1 16 03 03 00 |.W..............| +000001d0 48 0f 00 00 44 08 07 00 40 60 74 c1 c8 d8 0c ea |H...D...@`t.....| +000001e0 e0 9f 1f f9 aa 07 2d a6 93 3c 80 86 f2 4a c8 30 |......-..<...J.0| +000001f0 09 29 f3 ba 2c 28 18 09 a5 a0 35 d2 4a 81 2e f5 |.)..,(....5.J...| +00000200 6b 34 2d 06 28 da 6f f4 cd 82 db 6a ee 55 ed 1d |k4-.(.o....j.U..| +00000210 43 ac b2 49 a5 31 95 eb 07 14 03 03 00 01 01 16 |C..I.1..........| +00000220 03 03 00 40 4c 04 40 f9 e1 63 0e 03 a2 a6 5b d9 |...@L.@..c....[.| +00000230 86 0a 88 81 c7 76 3c 23 55 13 13 20 71 55 12 ba |.....v<#U.. qU..| +00000240 db ba 4a 98 7a 81 de 47 d0 a1 02 17 0e 5e 26 85 |..J.z..G.....^&.| +00000250 1b 37 1c b5 98 2d a0 9c fc ef ce 89 7c 33 3c 57 |.7...-......|3>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 00 00 00 00 00 |..........(.....| -00000010 00 00 00 0f bc a4 bd e8 a8 70 71 50 81 27 eb c4 |.........pqP.'..| -00000020 b5 7f 28 22 74 4e b8 7c ae c0 2a a9 b1 a1 c3 9e |..("tN.|..*.....| -00000030 1f d6 49 17 03 03 00 25 00 00 00 00 00 00 00 01 |..I....%........| -00000040 8c 6d 11 db 70 9a c1 ce c3 67 60 8f 88 78 43 3f |.m..p....g`..xC?| -00000050 4d 1a 07 75 a3 45 56 55 ef f1 f6 c3 9c 15 03 03 |M..u.EVU........| -00000060 00 1a 00 00 00 00 00 00 00 02 8f 4c 05 6e 65 1d |...........L.ne.| -00000070 6d 4a 25 38 2a 34 72 c0 d6 2c b3 9b |mJ%8*4r..,..| +00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| +00000010 00 00 00 00 00 00 00 00 00 00 00 90 c3 34 73 3f |.............4s?| +00000020 f7 14 d4 7b f7 5b 8a b2 79 f1 66 f5 3f be 89 c9 |...{.[..y.f.?...| +00000030 20 9d 19 4e 39 3e 17 84 e0 08 c8 1d 2f df a9 66 | ..N9>....../..f| +00000040 d6 de c4 21 e3 88 79 d8 dc 32 7c 17 03 03 00 40 |...!..y..2|....@| +00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| +00000060 bc cb 4a 84 8f 4d 5d 25 30 91 0d da 24 31 51 bb |..J..M]%0...$1Q.| +00000070 a2 39 33 5f b5 b7 08 20 14 47 93 a8 63 72 24 8f |.93_... .G..cr$.| +00000080 85 6e 35 e4 06 c7 e6 ac d5 c5 ba 1e 97 cb e6 58 |.n5............X| +00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| +000000a0 00 00 00 00 00 c2 59 dc 68 a9 ce df 90 78 15 d1 |......Y.h....x..| +000000b0 88 42 19 57 5c 9f 1a f6 d6 7e 30 6b 33 d1 8d e0 |.B.W\....~0k3...| +000000c0 35 3c d5 19 72 |5<..r| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven index db912f364dc..e1d87c663a3 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 49 1d 79 ec 99 |....m...i..I.y..| -00000010 0c 74 8c 9c ee a6 54 93 e3 91 f1 0e cc e1 44 ad |.t....T.......D.| -00000020 6a b9 64 d8 ec e1 a9 81 f3 93 6a 00 00 04 00 2f |j.d.......j..../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 c4 59 29 ad af |....m...i...Y)..| +00000010 59 a9 2b 1d f5 22 34 93 19 f8 64 04 dc 77 98 3d |Y.+.."4...d..w.=| +00000020 a0 f6 e0 5b b9 57 6d 70 5d 1e 33 00 00 04 00 2f |...[.Wmp].3..../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 25 0d 00 00 21 02 01 40 |;.......%...!..@| -000002a0 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 00 00 16 03 |...........a....| -000002c0 03 00 04 0e 00 00 00 |.......| +00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| +000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| +000002c0 16 03 03 00 04 0e 00 00 00 |.........| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -86,40 +86,40 @@ 000001d0 ac 11 b1 28 56 be 1d cd 61 62 84 09 bf d6 80 c6 |...(V...ab......| 000001e0 45 8d 82 2c b4 d8 83 9b db c9 22 b7 2a 12 11 7b |E..,......".*..{| 000001f0 fa 02 3b c1 c9 ff ea c9 9d a8 49 d3 95 d7 d5 0e |..;.......I.....| -00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 b4 32 f6 |.5............2.| -00000210 f6 60 c2 82 5a 72 80 fb d6 af 40 68 5b 2e 83 be |.`..Zr....@h[...| -00000220 dd bd 51 41 80 c9 e0 49 1e ad cf cb 21 fb 4f 48 |..QA...I....!.OH| -00000230 87 a3 ef 41 f0 8d af 13 55 90 4e 08 d0 ff 21 40 |...A....U.N...!@| -00000240 40 ed be bf 5a f3 a4 6b bc 4b 22 dc bd 78 f3 ae |@...Z..k.K"..x..| -00000250 6a 69 0d a8 cb 3f 3f be d0 4a e7 84 41 2a 33 33 |ji...??..J..A*33| -00000260 dc fd af 42 c3 84 f2 d6 dc ac 27 16 bb 47 0c 9d |...B......'..G..| -00000270 08 d9 4f fd df 7d 80 2d b5 9c a7 75 d6 c2 4c 69 |..O..}.-...u..Li| -00000280 08 92 b1 cd 99 16 dc f8 0d 45 22 ae 2a 16 03 03 |.........E".*...| -00000290 00 88 0f 00 00 84 08 04 00 80 59 f0 fc bb 9e 4f |..........Y....O| -000002a0 e2 f7 1f 21 c3 8c eb 73 ca 3b b0 45 e3 45 d8 d5 |...!...s.;.E.E..| -000002b0 62 24 d5 e3 94 59 77 c9 bc d0 67 67 5c cd ce 0c |b$...Yw...gg\...| -000002c0 72 45 a6 86 c1 a9 88 d3 4f 46 3f fa 5f 7e ea b6 |rE......OF?._~..| -000002d0 92 d9 78 d8 6f 59 36 fb ea 4b 5b 18 46 7d 87 5a |..x.oY6..K[.F}.Z| -000002e0 b9 52 ff a0 13 3e 0f e2 8b 19 b1 0a ba c0 97 39 |.R...>.........9| -000002f0 5a fc d8 dc e6 fd 9f 29 45 2e 4d 98 e7 20 80 03 |Z......)E.M.. ..| -00000300 ce 54 2d 92 3a e1 c4 f5 2c d2 25 e5 cd 08 8f ed |.T-.:...,.%.....| -00000310 1a d9 2f 3b f9 00 79 3a bb 32 14 03 03 00 01 01 |../;..y:.2......| -00000320 16 03 03 00 40 77 01 64 ae 6c 26 44 2f 3f 78 53 |....@w.d.l&D/?xS| -00000330 30 78 4c 1c 75 8e 47 17 95 3b a4 35 87 95 2d f4 |0xL.u.G..;.5..-.| -00000340 fa 7e 45 f6 a3 59 42 31 5c 8f f8 fe 0e ce c1 1c |.~E..YB1\.......| -00000350 2a f1 e8 42 63 94 93 07 82 68 69 38 4f ba 6d a6 |*..Bc....hi8O.m.| -00000360 68 df fa 4e cd |h..N.| +00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 88 c5 d8 |.5..............| +00000210 1e 5f 9a 1e f5 2c 2f c8 08 41 7c 9a e6 5c 76 eb |._...,/..A|..\v.| +00000220 e1 63 0d aa 77 17 12 44 b7 15 45 d8 6b 63 bc fa |.c..w..D..E.kc..| +00000230 b1 4c 5d a7 a9 18 ef d4 65 f5 96 f3 dc 8f 97 78 |.L].....e......x| +00000240 14 fb 2e e8 f9 31 9a 37 b4 19 54 61 f4 1a 7f cf |.....1.7..Ta....| +00000250 f2 9d 25 f1 a1 4d 1d 48 fa 7b 3c 7a 95 72 0c 4a |..%..M.H.{>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 f7 fc 35 5a 8c |.............5Z.| -00000020 34 c7 5f ae a6 eb 44 1c e1 00 9f 15 c3 fe 1c 65 |4._...D........e| -00000030 dd 3e 1f 03 0f f4 c4 b5 6c 59 e1 75 a0 18 9b 7b |.>......lY.u...{| -00000040 e5 b6 47 be af 43 a0 d8 8b 89 0b 17 03 03 00 40 |..G..C.........@| +00000010 00 00 00 00 00 00 00 00 00 00 00 2e 6d 80 cc a7 |............m...| +00000020 c5 44 4d 89 f3 c0 f7 e1 20 f3 d9 4a 65 0c fb b1 |.DM..... ..Je...| +00000030 90 aa b8 a5 94 28 d7 f6 2c d6 a7 03 4e 94 6b d3 |.....(..,...N.k.| +00000040 5b ef a1 60 98 b1 6f f6 eb 9e 83 17 03 03 00 40 |[..`..o........@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 61 68 d5 7b 65 5d 8a e2 17 7a 75 eb a0 f8 cd 84 |ah.{e]...zu.....| -00000070 8c d3 1a 1c b1 4c 8e 60 d5 1e 1a 54 6d 21 68 1d |.....L.`...Tm!h.| -00000080 6c 18 72 71 7e 0d df d1 83 95 78 82 d0 5b ce 70 |l.rq~.....x..[.p| +00000060 44 f2 00 13 79 b8 5f 5a ed c3 a3 ec 96 19 74 14 |D...y._Z......t.| +00000070 f6 c5 87 79 dd dd ad 0e 24 d6 ba d4 ec 16 d6 1a |...y....$.......| +00000080 6b 80 c6 fd 94 dd 3b e1 fe ab fd 2d e9 97 2d 8c |k.....;....-..-.| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 e9 0a c4 d1 6a f6 f6 f5 68 af bf |.........j...h..| -000000b0 b0 c3 7f e8 2f 18 58 67 7a 64 f7 72 d3 41 f1 7b |..../.Xgzd.r.A.{| -000000c0 0a d1 55 96 56 |..U.V| +000000a0 00 00 00 00 00 3e 78 a0 7b f3 85 78 6d 4b 79 66 |.....>x.{..xmKyf| +000000b0 a3 aa 20 81 db f4 38 22 8c c6 56 b6 91 d2 8c 98 |.. ...8"..V.....| +000000c0 61 15 1e 99 98 |a....| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given index 34b5b880adf..60d51a53285 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 ec 6b 60 00 98 |....m...i...k`..| -00000010 a1 e0 fa ff f8 0e b2 d0 fd cf b9 83 6c 0a d2 c3 |............l...| -00000020 37 3a 68 b0 75 93 97 94 fa c6 fd 00 00 04 00 2f |7:h.u........../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 73 6a 49 50 bf |....m...i..sjIP.| +00000010 e8 6c 66 55 9d 37 89 29 7d 44 e8 69 f9 28 b4 40 |.lfU.7.)}D.i.(.@| +00000020 f6 69 47 11 df fd 94 c2 ef ba 3e 00 00 04 00 2f |.iG.......>..../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 25 0d 00 00 21 02 01 40 |;.......%...!..@| -000002a0 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 00 00 16 03 |...........a....| -000002c0 03 00 04 0e 00 00 00 |.......| +00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| +000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| +000002c0 16 03 03 00 04 0e 00 00 00 |.........| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -86,40 +86,40 @@ 000001d0 ac 11 b1 28 56 be 1d cd 61 62 84 09 bf d6 80 c6 |...(V...ab......| 000001e0 45 8d 82 2c b4 d8 83 9b db c9 22 b7 2a 12 11 7b |E..,......".*..{| 000001f0 fa 02 3b c1 c9 ff ea c9 9d a8 49 d3 95 d7 d5 0e |..;.......I.....| -00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 d4 d5 5b |.5.............[| -00000210 40 fc 53 88 cc 1f 09 00 7e 94 48 aa c3 d9 79 a9 |@.S.....~.H...y.| -00000220 3c d7 d4 c7 3d a1 ae 2a ad 10 9b c4 74 35 31 88 |<...=..*....t51.| -00000230 b1 cc 43 f5 03 de a2 2e 62 07 49 fd e3 df ea 96 |..C.....b.I.....| -00000240 cc 34 90 e2 79 22 ff 1d 8a ec 7b 0c 7d 3d 2b a2 |.4..y"....{.}=+.| -00000250 a1 f3 a0 66 2b 9b f1 4d d6 b2 b8 66 2d 85 ce f0 |...f+..M...f-...| -00000260 67 fa 4d 14 81 4c 4b 37 fd 96 b7 10 33 62 ab 88 |g.M..LK7....3b..| -00000270 41 8d 1e 46 c0 52 6d 65 c6 a9 4b 5e 11 c9 0b d8 |A..F.Rme..K^....| -00000280 e4 d5 8d 7e ed 63 06 3d de 81 01 c0 44 16 03 03 |...~.c.=....D...| -00000290 00 88 0f 00 00 84 04 01 00 80 39 a3 e3 bd 42 84 |..........9...B.| -000002a0 65 95 0f ac 3b f7 d0 d3 a7 06 e4 1d 1f 02 77 27 |e...;.........w'| -000002b0 04 f2 24 5a ec ae 45 5a e9 05 1d bb c1 ca 41 df |..$Z..EZ......A.| -000002c0 12 c4 3f f3 c8 70 de d2 68 c9 7b 2e 9c 45 94 1d |..?..p..h.{..E..| -000002d0 12 7b fb f1 14 f0 b2 c4 42 8d 36 f4 2a c9 ae eb |.{......B.6.*...| -000002e0 fd 3f ef f1 71 eb 20 b8 dd ee 8b 6d 45 ad 6a ab |.?..q. ....mE.j.| -000002f0 c5 d6 9f 85 77 d7 6f d2 7f 9d 75 d3 9c 2e ee 61 |....w.o...u....a| -00000300 b0 e9 e9 e8 41 c6 1d db 12 1b ce f3 f3 8f 6b 1d |....A.........k.| -00000310 94 16 e3 99 6b 4f e9 e1 27 bb 14 03 03 00 01 01 |....kO..'.......| -00000320 16 03 03 00 40 98 b1 d1 5e 61 9e be 58 3c 2b 87 |....@...^a..X<+.| -00000330 6c 3b c4 90 ce cb 93 2c b9 ab d8 3a 85 6e 94 1b |l;.....,...:.n..| -00000340 32 a2 f8 98 20 16 36 84 5b 36 a1 61 94 70 0b bd |2... .6.[6.a.p..| -00000350 a9 62 69 b4 85 52 70 72 07 a9 f4 fa 4f fa b9 08 |.bi..Rpr....O...| -00000360 b0 03 1e 9f 71 |....q| +00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 8f cd 30 |.5.............0| +00000210 d2 33 da aa 09 c9 05 e6 30 5e cf 63 55 68 65 6f |.3......0^.cUheo| +00000220 ee 98 a9 64 74 fd bb 57 cc 01 6a 65 ce 56 cc 8b |...dt..W..je.V..| +00000230 28 6c ff 2f ae ec f4 cd 42 dc fc ee df b4 7a 08 |(l./....B.....z.| +00000240 84 ab 3d 54 74 80 f0 1d 97 ca 1f a6 9b d1 38 2d |..=Tt.........8-| +00000250 86 24 19 3d da 6e 73 20 7e 79 59 1f ca d5 31 49 |.$.=.ns ~yY...1I| +00000260 cf dc e7 bf 04 77 0c 70 a4 db 99 cc 89 00 34 bf |.....w.p......4.| +00000270 66 25 6d f0 f7 f9 05 6b 8d 95 50 fd fe 87 64 34 |f%m....k..P...d4| +00000280 47 9b 0a 41 74 2a aa f1 d7 21 3b b4 df 16 03 03 |G..At*...!;.....| +00000290 00 88 0f 00 00 84 04 01 00 80 52 76 b8 e3 82 84 |..........Rv....| +000002a0 cd c6 dd 4c 80 d0 1b 44 1f 6f 78 a1 11 8f 03 38 |...L...D.ox....8| +000002b0 a8 01 b5 0f b3 f5 ad 80 a4 87 c9 29 dd a8 40 07 |...........)..@.| +000002c0 bb 24 ac d6 00 e0 03 8f 90 7c 99 a4 2d 42 26 44 |.$.......|..-B&D| +000002d0 a3 ac 02 03 7a fa cd ee 00 3c c1 c0 21 d5 48 70 |....z....<..!.Hp| +000002e0 43 c3 9e 86 16 f4 ec f0 03 b2 9d 61 04 03 61 8d |C..........a..a.| +000002f0 dc d9 be 74 1c f4 09 f6 60 13 b6 23 d2 7a 45 8d |...t....`..#.zE.| +00000300 55 98 8b e7 d7 97 97 ca 03 d1 dc 0d 48 52 f3 bd |U...........HR..| +00000310 24 de 99 65 96 6b b2 06 4a 75 14 03 03 00 01 01 |$..e.k..Ju......| +00000320 16 03 03 00 40 02 ed c6 de fa 31 22 94 69 ad 66 |....@.....1".i.f| +00000330 b3 bb 00 79 29 8a 77 7f 63 3a b5 d2 e8 c0 b2 df |...y).w.c:......| +00000340 37 21 d4 ae ce 48 61 2f fc 7b e0 d1 ed f8 01 a0 |7!...Ha/.{......| +00000350 ed fa 83 aa 03 1a 03 ac 9c eb 17 a1 17 92 4b da |..............K.| +00000360 f5 65 65 5d 60 |.ee]`| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 79 d4 a9 cf b1 |...........y....| -00000020 fe e0 1f c5 76 5d ad 23 a0 98 7f 1a f3 98 47 77 |....v].#......Gw| -00000030 bc a3 39 7c a2 48 5e 0c d6 9c df 01 2c 14 93 6f |..9|.H^.....,..o| -00000040 d7 98 a8 25 70 7b e5 db 13 58 cc 17 03 03 00 40 |...%p{...X.....@| +00000010 00 00 00 00 00 00 00 00 00 00 00 70 aa 2d 75 3a |...........p.-u:| +00000020 6d eb 5a 5b 35 66 2a b1 e6 21 d7 0b 8e 94 7b a5 |m.Z[5f*..!....{.| +00000030 d7 c6 7c 09 6f ba db c8 a6 e1 30 c8 79 c0 33 98 |..|.o.....0.y.3.| +00000040 9a 07 fe 4b cd 26 4e 7a 2f 0a b7 17 03 03 00 40 |...K.&Nz/......@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 a9 7c 3a 9b fb 71 61 7f 54 6e 2b 01 56 33 1a 48 |.|:..qa.Tn+.V3.H| -00000070 5e 02 ee be 27 a7 32 84 dd 20 4b 05 5a ac 61 12 |^...'.2.. K.Z.a.| -00000080 cc 78 7b d3 07 c9 91 de 12 db e3 86 a4 70 4d 3a |.x{..........pM:| +00000060 c9 94 00 c4 49 66 82 4c 2c e0 ef ef 34 35 cb 84 |....If.L,...45..| +00000070 62 42 ca 4a 4c a7 6b c3 54 ae 9a 5b 31 db 50 64 |bB.JL.k.T..[1.Pd| +00000080 0a 9e 89 99 b8 b6 cb 65 5b 2c fa 9f d3 92 c7 80 |.......e[,......| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 1c 29 9f 29 be fa 0a 1c 18 9f 96 |......).).......| -000000b0 45 6d 26 0f 14 6b d5 d3 e1 4c b8 c5 57 4a 9d cc |Em&..k...L..WJ..| -000000c0 11 88 2e ad a5 |.....| +000000a0 00 00 00 00 00 03 48 1d 2b 38 ba 47 c9 fb ff d0 |......H.+8.G....| +000000b0 d7 77 a0 e5 88 07 28 19 c9 dd 95 9e 6a c3 22 70 |.w....(.....j."p| +000000c0 e3 bc 0c f9 80 |.....| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven index 2f79eab60fd..048a1c22744 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 8a 39 e4 e6 91 |....m...i...9...| -00000010 75 a1 b6 19 81 91 87 7c d9 d0 55 6f 97 f5 2f 2d |u......|..Uo../-| -00000020 e7 c2 44 af 1d 80 a3 a0 6c f7 43 00 00 04 00 2f |..D.....l.C..../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 be 0c ca 74 09 |....m...i.....t.| +00000010 bb 46 d6 8c 81 10 b9 69 76 a5 54 eb 32 a1 fa 56 |.F.....iv.T.2..V| +00000020 f2 cb d4 1a c9 1d 39 de 8c 5d f9 00 00 04 00 2f |......9..]...../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,37 +49,37 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 25 0d 00 00 21 02 01 40 |;.......%...!..@| -000002a0 00 1a 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 00 00 16 03 |...........a....| -000002c0 03 00 04 0e 00 00 00 |.......| +00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| +000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| +000002c0 16 03 03 00 04 0e 00 00 00 |.........| >>> Flow 3 (client to server) 00000000 16 03 03 00 07 0b 00 00 03 00 00 00 16 03 03 00 |................| -00000010 86 10 00 00 82 00 80 4b eb ce df e6 c9 bc b2 f6 |.......K........| -00000020 ea 77 a0 50 d1 0a 27 0a 8f 18 93 6c f0 b6 56 76 |.w.P..'....l..Vv| -00000030 2c e9 30 69 09 2f 58 a3 8f 42 80 47 6c da d2 91 |,.0i./X..B.Gl...| -00000040 66 99 01 ac 85 25 98 88 50 a9 e2 b7 0f 2c 87 de |f....%..P....,..| -00000050 67 8f 00 7d 69 d2 65 6e 35 99 01 b8 31 54 0b 7a |g..}i.en5...1T.z| -00000060 4c 31 fd 79 e0 2a 87 aa e4 65 da 70 df 25 6e 71 |L1.y.*...e.p.%nq| -00000070 7e 8b 64 93 8e 5a f1 17 c1 5f 0e ff ec 17 cb 68 |~.d..Z..._.....h| -00000080 48 b9 a3 9e dc 10 53 f1 f0 9b 1c de fd 2f c1 86 |H.....S....../..| -00000090 0f 14 31 75 46 b1 d4 14 03 03 00 01 01 16 03 03 |..1uF...........| -000000a0 00 40 76 a5 cc 93 c0 28 b1 a0 28 0e 1e 3d b3 a0 |.@v....(..(..=..| -000000b0 50 02 79 67 dc 6a 93 ac 93 65 1a c1 24 0c 88 96 |P.yg.j...e..$...| -000000c0 98 ff 5c 6c b5 ab 38 21 d2 ea c8 38 1e 9b de b1 |..\l..8!...8....| -000000d0 96 f2 b6 aa 2c bb 07 27 2e 75 8f 8b 23 a0 4e 79 |....,..'.u..#.Ny| -000000e0 97 c0 |..| +00000010 86 10 00 00 82 00 80 d6 bc d2 48 ab f5 04 c3 fc |..........H.....| +00000020 84 c6 67 25 f7 17 58 ac 52 7a 63 2b 99 07 34 05 |..g%..X.Rzc+..4.| +00000030 5f 55 bc fb 69 7c bc d9 32 a6 aa 13 50 f3 b6 57 |_U..i|..2...P..W| +00000040 08 28 91 cd 12 14 29 22 d9 1b 12 45 36 d6 0f 17 |.(....)"...E6...| +00000050 5f fb 78 fa 2c f9 65 c0 95 ce d3 29 43 69 59 50 |_.x.,.e....)CiYP| +00000060 53 a4 19 c3 27 b4 d3 c0 6d 81 10 37 11 af 51 78 |S...'...m..7..Qx| +00000070 1a 37 22 a5 79 60 29 26 83 1a e8 b7 79 6f 99 38 |.7".y`)&....yo.8| +00000080 eb a4 cf 6c 71 a4 c5 f7 04 f8 c0 8c 89 66 32 2d |...lq........f2-| +00000090 a5 fe 1f f2 ca 81 6e 14 03 03 00 01 01 16 03 03 |......n.........| +000000a0 00 40 55 b0 4c fe 2a 87 0e 59 10 0a 55 20 84 78 |.@U.L.*..Y..U .x| +000000b0 12 1d 16 9c a1 25 0b 09 02 41 06 b7 e2 87 90 6a |.....%...A.....j| +000000c0 fb 56 83 9a eb 57 8c f8 39 81 29 fc 02 c9 49 5b |.V...W..9.)...I[| +000000d0 16 88 60 8d c0 88 c1 40 d9 01 57 d2 8b fc f4 26 |..`....@..W....&| +000000e0 22 16 |".| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 53 5c e4 84 1e |...........S\...| -00000020 a8 30 8c d2 df ba a2 38 7f 01 16 e2 c7 3c 53 85 |.0.....8.......<| +00000030 62 3c ef cf 40 5b ed 5d 56 3b 5c c6 5d 54 e4 b4 |b<..@[.]V;\.]T..| +00000040 1f 66 62 30 a1 84 75 5b a1 52 00 17 03 03 00 40 |.fb0..u[.R.....@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 b5 05 00 08 b9 71 6e 2a 08 ed 43 24 41 7a 4d 8e |.....qn*..C$AzM.| -00000070 a3 c7 f2 b3 1f e8 05 76 08 ae ea 31 db e0 cb 0a |.......v...1....| -00000080 7a 00 ab 12 a4 f6 92 54 a2 83 34 26 96 04 3c c9 |z......T..4&..<.| +00000060 bb 68 c4 03 2d 43 eb 74 fb e9 8c 75 13 7c 7a 5f |.h..-C.t...u.|z_| +00000070 aa fd 34 53 bc d3 f2 0b 08 be d0 d9 08 c5 f8 1c |..4S............| +00000080 36 00 92 e4 52 ee 88 e4 5c e7 5d 81 d1 81 01 15 |6...R...\.].....| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 a9 15 7e 10 e7 91 c2 c8 4d 0b 38 |.......~.....M.8| -000000b0 6a 17 16 13 00 39 22 21 9b 58 83 d5 2d 44 45 e0 |j....9"!.X..-DE.| -000000c0 57 eb cb 7d 79 |W..}y| +000000a0 00 00 00 00 00 6b 4f 46 61 e9 80 fd 27 79 aa 98 |.....kOFa...'y..| +000000b0 14 c5 8d 13 7b 3a f4 10 2c 7d 65 5f 31 ea 90 3a |....{:..,}e_1..:| +000000c0 e6 9e 15 bf fa |.....| diff --git a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven index 50235a09643..012d76ab6bd 100644 --- a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven @@ -1,183 +1,180 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ce 01 00 00 ca 03 03 bd f0 66 60 73 |.............f`s| -00000010 04 c6 f9 18 fb 71 4b b4 19 0a 22 71 2f 15 d0 c3 |.....qK..."q/...| -00000020 b9 92 3d 77 b9 10 4e b9 d8 c9 9e 20 b8 75 c9 7a |..=w..N.... .u.z| -00000030 52 f8 1d 8c 6e ec fc 88 54 2d 65 cb 3a cb cd 5f |R...n...T-e.:.._| -00000040 82 ea be e2 69 ff 8b ea 4a 0a 80 7b 00 08 13 02 |....i...J..{....| -00000050 13 03 13 01 00 ff 01 00 00 79 00 0b 00 04 03 00 |.........y......| -00000060 01 02 00 0a 00 0c 00 0a 00 1d 00 17 00 1e 00 19 |................| -00000070 00 18 00 16 00 00 00 17 00 00 00 0d 00 1e 00 1c |................| -00000080 04 03 05 03 06 03 08 07 08 08 08 09 08 0a 08 0b |................| -00000090 08 04 08 05 08 06 04 01 05 01 06 01 00 2b 00 03 |.............+..| -000000a0 02 03 04 00 2d 00 02 01 01 00 33 00 26 00 24 00 |....-.....3.&.$.| -000000b0 1d 00 20 2c 34 e4 d2 ff 7e f1 78 25 86 49 13 0e |.. ,4...~.x%.I..| -000000c0 ef 77 bf fb 0e a6 82 9c a6 7e c0 b0 b9 52 90 a2 |.w.......~...R..| -000000d0 6d e9 55 |m.U| +00000000 16 03 01 00 ca 01 00 00 c6 03 03 01 ee 2b 19 bf |.............+..| +00000010 da 34 c0 e1 d6 4f b6 32 8b 80 a8 af aa 54 fa 34 |.4...O.2.....T.4| +00000020 57 e8 45 b4 5f ed a2 f1 a0 a5 05 20 1c 53 37 37 |W.E._...... .S77| +00000030 36 b6 90 df ae af cf be 1c fb 36 39 2a 54 bd a9 |6.........69*T..| +00000040 47 76 12 35 00 90 12 10 5c f0 93 0c 00 04 13 01 |Gv.5....\.......| +00000050 00 ff 01 00 00 79 00 0b 00 04 03 00 01 02 00 0a |.....y..........| +00000060 00 0c 00 0a 00 1d 00 17 00 1e 00 19 00 18 00 16 |................| +00000070 00 00 00 17 00 00 00 0d 00 1e 00 1c 04 03 05 03 |................| +00000080 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| +00000090 08 06 04 01 05 01 06 01 00 2b 00 03 02 03 04 00 |.........+......| +000000a0 2d 00 02 01 01 00 33 00 26 00 24 00 1d 00 20 ca |-.....3.&.$... .| +000000b0 67 8d 39 48 83 ce 40 02 a8 49 f0 4c 80 62 f2 35 |g.9H..@..I.L.b.5| +000000c0 c5 4d ac a4 34 d3 d1 f8 c3 23 25 d2 b7 84 2b |.M..4....#%...+| >>> Flow 2 (server to client) 00000000 16 03 03 00 7a 02 00 00 76 03 03 00 00 00 00 00 |....z...v.......| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000020 00 00 00 00 00 00 00 00 00 00 00 20 b8 75 c9 7a |........... .u.z| -00000030 52 f8 1d 8c 6e ec fc 88 54 2d 65 cb 3a cb cd 5f |R...n...T-e.:.._| -00000040 82 ea be e2 69 ff 8b ea 4a 0a 80 7b 13 02 00 00 |....i...J..{....| +00000020 00 00 00 00 00 00 00 00 00 00 00 20 1c 53 37 37 |........... .S77| +00000030 36 b6 90 df ae af cf be 1c fb 36 39 2a 54 bd a9 |6.........69*T..| +00000040 47 76 12 35 00 90 12 10 5c f0 93 0c 13 01 00 00 |Gv.5....\.......| 00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 2f |..+.....3.$... /| 00000060 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| 00000070 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 14 |.........._X.;t.| -00000080 03 03 00 01 01 17 03 03 00 17 6d 1a 21 c6 b4 ed |..........m.!...| -00000090 34 bf 90 37 9c 6f 1d 71 81 50 27 94 e5 e8 ef 80 |4..7.o.q.P'.....| -000000a0 81 17 03 03 00 40 c3 6e 9f aa 20 f1 2f d6 fb f1 |.....@.n.. ./...| -000000b0 a7 11 31 1f b1 d4 83 73 b1 dc ca e1 86 12 d6 85 |..1....s........| -000000c0 7c 7e da 99 85 fd fd b1 63 34 27 f0 16 76 e2 73 ||~......c4'..v.s| -000000d0 64 6e 99 3c 82 45 fd 24 4b e5 74 a7 55 42 64 5a |dn.<.E.$K.t.UBdZ| -000000e0 5a a4 d9 f8 ad 56 17 03 03 02 6d ca 75 6c fc 80 |Z....V....m.ul..| -000000f0 c4 99 f3 b0 ff 1e b1 6c 11 2f 0f 6f fe 71 c1 67 |.......l./.o.q.g| -00000100 d8 a0 0c a0 67 a1 fe 1f 1d 9b 15 b2 d0 de 11 98 |....g...........| -00000110 06 85 20 0e 98 80 d7 22 1d 44 a9 83 40 6d 72 6b |.. ....".D..@mrk| -00000120 2f 6b 61 e8 aa 8a 00 6a 8a 0d 10 c3 c1 71 b0 26 |/ka....j.....q.&| -00000130 38 bf 7f 35 11 65 8c c4 5d 43 0d 2d 07 37 4b 6e |8..5.e..]C.-.7Kn| -00000140 38 78 38 4e 61 3c 4b f1 a6 b3 b4 6f 5f 0e 45 09 |8x8Na....V| -00000240 d0 7b ba 01 ad a5 f1 fb d5 94 b1 7c ed 02 20 8c |.{.........|.. .| -00000250 53 d2 dc 09 e0 9e c1 15 47 b5 9c ba f4 21 7e f3 |S.......G....!~.| -00000260 88 63 61 47 24 97 a4 e1 2d 3c 0b 1d 82 f2 90 af |.caG$...-<......| -00000270 76 43 47 2f e2 2c 35 34 db 3b 29 64 65 85 47 37 |vCG/.,54.;)de.G7| -00000280 53 e6 f4 3c 4a dd 83 83 d4 56 9d d4 da 29 bd e9 |S..| -000002a0 89 e0 18 42 84 71 fb ee d1 3d 6d 99 63 32 34 32 |...B.q...=m.c242| -000002b0 4f 5c 9f 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|.Y.-..Af........| -00000030 48 5c 07 d1 91 f1 b8 87 26 77 32 3f 9d 60 e2 a1 |H\......&w2?.`..| -00000040 bc e5 4b 30 f5 1c 99 1c 97 ab f0 08 76 19 5f ca |..K0........v._.| -00000050 d1 6a 45 e3 f0 c2 86 bf 87 78 2c d2 60 1a ff 9d |.jE......x,.`...| -00000060 98 04 36 00 de 46 ab 3a b2 78 39 11 45 ed b6 51 |..6..F.:.x9.E..Q| -00000070 20 30 fb 9e 7c 55 d0 83 40 e2 68 df 25 41 46 6d | 0..|U..@.h.%AFm| -00000080 81 84 60 eb ab f3 84 0b ad 5d 38 01 b8 81 df 5e |..`......]8....^| -00000090 29 e6 66 3d 14 a5 47 2a fb ae ab bc cf cf aa 62 |).f=..G*.......b| -000000a0 1e 8d 47 b8 6b 21 af 8e 2c 61 2d 41 24 3d 7a 57 |..G.k!..,a-A$=zW| -000000b0 0b ba 8c bb 53 2a 2c 58 c8 29 b4 1f f9 af 28 04 |....S*,X.)....(.| -000000c0 69 d3 9d 28 e9 21 91 f7 8b 3c 16 d2 fb 50 5e 0f |i..(.!...<...P^.| -000000d0 50 73 b8 eb 85 d7 ad 61 06 77 65 70 b8 3d 4f b0 |Ps.....a.wep.=O.| -000000e0 1c 56 fd 07 e4 fd 6c ad f9 3c ba 96 89 c5 15 1c |.V....l..<......| -000000f0 a5 67 6a 3a 24 f7 04 13 0d 40 4f 80 fd 03 09 f6 |.gj:$....@O.....| -00000100 f2 67 f1 84 8c fb 7c d6 2d bf 76 28 aa 07 82 b2 |.g....|.-.v(....| -00000110 88 19 7b 21 ae c3 6f 13 cb 8a 90 a6 f2 bd b0 ba |..{!..o.........| -00000120 6b 57 c7 89 e0 c5 d6 79 d4 21 a2 cc 50 ba a1 06 |kW.....y.!..P...| -00000130 5f c2 13 30 7c 45 a9 1f 92 fe 84 6c f3 c2 80 34 |_..0|E.....l...4| -00000140 86 f7 38 f5 50 2a be 7f 13 fd 2f a4 fe e1 a0 c8 |..8.P*..../.....| -00000150 f2 ce e6 7c b7 94 24 3e a3 dc 2f d3 3d 4e 4c c4 |...|..$>../.=NL.| -00000160 7e 38 fa eb f4 a8 1f 2e 63 32 7a 4a 37 6f 98 33 |~8......c2zJ7o.3| -00000170 a1 a2 19 cf 8c b1 12 33 d6 c6 39 64 f8 fd 6a 1f |.......3..9d..j.| -00000180 85 8a 50 68 38 0d 9a f5 a8 63 1e 83 58 09 28 a5 |..Ph8....c..X.(.| -00000190 69 d7 42 ac bc 88 98 52 5d 32 a6 f3 5d fb d4 0b |i.B....R]2..]...| -000001a0 3c 04 19 d3 41 d3 86 06 64 5c 94 29 de 77 dc 25 |<...A...d\.).w.%| -000001b0 36 fb ba 0a 2e d4 08 d8 a8 de b0 83 2b c6 5b b4 |6...........+.[.| -000001c0 61 95 85 4d 57 88 9e 8f b6 55 67 b8 b0 ad 0d 47 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+00000080 86 22 9d ee 8b 8f 1d ed 2c 09 77 2f 44 df 5e 4e |."......,.w/D.^N| +00000090 64 14 e9 d3 ee 28 65 14 c5 ed bb 22 f0 05 dd b6 |d....(e...."....| +000000a0 82 8e bb b8 9c 9d 74 09 49 b3 10 6a 01 c8 68 02 |......t.I..j..h.| +000000b0 f4 d8 af 2e ea d6 64 d3 47 11 50 ab d9 cd cb 0b |......d.G.P.....| +000000c0 09 f4 df 31 b9 27 3f 5c bb a0 c0 d6 0d b6 47 bc |...1.'?\......G.| +000000d0 c6 52 53 d4 33 4a 40 99 93 12 58 b6 96 12 0f 17 |.RS.3J@...X.....| +000000e0 cd 76 59 1b ac 3e b2 15 66 f4 cc 5e 3f 5c 2a 96 |.vY..>..f..^?\*.| +000000f0 f8 0a d2 3c 0c 02 97 75 0c 0f 98 ef 16 ca 32 5a |...<...u......2Z| +00000100 d1 fe a2 77 d3 75 90 7c 09 2f cb 53 7b 42 69 4c |...w.u.|./.S{BiL| +00000110 36 9e 64 20 44 45 ee db 5b d1 28 43 a7 fa 69 46 |6.d DE..[.(C..iF| +00000120 23 c8 8e 86 c1 dd 12 2d 9e c2 4e df 34 2b 75 c2 |#......-..N.4+u.| +00000130 a9 c3 71 db 74 06 9a 0e 86 51 15 5b a8 41 61 58 |..q.t....Q.[.AaX| +00000140 83 0c 8d 01 4e 22 57 e3 b8 43 01 51 9f b4 71 79 |....N"W..C.Q..qy| +00000150 d3 da b5 84 6a 83 19 ad b7 68 89 4f 8d 89 d0 3b |....j....h.O...;| +00000160 8f ce 18 d0 6a 40 f5 4c c6 3d f4 af 26 86 a7 af |....j@.L.=..&...| +00000170 1f 62 b9 33 ab d6 97 1b af ad 2b 21 6d 86 07 53 |.b.3......+!m..S| +00000180 38 c0 a9 3f cf 74 6a 9e 80 ca 83 bc b1 46 02 f8 |8..?.tj......F..| +00000190 2b 18 43 e3 14 b3 58 9b 76 e1 46 48 0f c2 af f7 |+.C...X.v.FH....| +000001a0 aa f0 30 f9 71 03 a1 ae 2c 49 48 88 8a af e1 a1 |..0.q...,IH.....| +000001b0 df 69 1b e4 21 88 35 c3 57 34 53 9e 5a a0 3f 8c |.i..!.5.W4S.Z.?.| +000001c0 61 aa a7 14 d8 0b 3b ed 58 11 55 23 db 1b 00 17 |a.....;.X.U#....| +000001d0 03 03 00 1e d1 7c f1 da 46 5e ff f4 de bc 9b c0 |.....|..F^......| +000001e0 03 2b cc f8 9e 3e f8 b7 3e 2c 35 4a b1 f6 14 37 |.+...>..>,5J...7| +000001f0 d7 5a 17 03 03 00 13 57 37 38 45 52 73 8f 2d a2 |.Z.....W78ERs.-.| +00000200 cd c1 b8 67 79 07 ed cf e7 fa |...gy.....| diff --git a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven index d0be260bead..cb66d1ef146 100644 --- a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven @@ -1,181 +1,178 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ce 01 00 00 ca 03 03 b3 3c 71 5e b0 |............x| -000000c0 ed f4 d6 ba 5c 09 c3 95 e2 24 7e 5e 1e b8 2c 38 |....\....$~^..,8| -000000d0 cd db 79 |..y| +00000000 16 03 01 00 ca 01 00 00 c6 03 03 b0 62 88 77 4a |............b.wJ| +00000010 1c 99 6d 02 21 0c e8 11 fd ed 7a 05 bb 23 09 37 |..m.!.....z..#.7| +00000020 e0 25 69 5a e5 4f 64 01 28 bb bd 20 0a 11 29 cf |.%iZ.Od.(.. ..).| +00000030 dd 59 f1 34 d0 a1 74 c8 7d 51 f9 83 b5 d2 8d c7 |.Y.4..t.}Q......| +00000040 3b 1d e4 29 04 99 ea 82 4b 22 bf 65 00 04 13 01 |;..)....K".e....| +00000050 00 ff 01 00 00 79 00 0b 00 04 03 00 01 02 00 0a |.....y..........| +00000060 00 0c 00 0a 00 1d 00 17 00 1e 00 19 00 18 00 16 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Date: Mon, 19 Apr 2021 21:24:48 +0100 Subject: [PATCH 31/69] Add pqtls: mutual auth --- src/crypto/tls/delegated_credentials_test.go | 112 ++++++++++++++++++- 1 file changed, 107 insertions(+), 5 deletions(-) diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index c63a35d7700..ab132e7a6b3 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -892,6 +892,25 @@ var dcPQServerTests = []struct { name string }{ {true, VersionTLS13, VersionTLS13, true, true, "tls13: DC client support"}, + {false, VersionTLS13, VersionTLS13, false, false, "DC not client support"}, + {true, VersionTLS12, VersionTLS13, false, false, "client using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS12, false, false, "server using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS11, VersionTLS13, false, false, "client using TLS 1.1. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, +} + +var dcPQClientTests = []struct { + serverDCSupport bool + clientMaxVers uint16 + serverMaxVers uint16 + expectSuccess bool + expectDC bool + name string +}{ + {true, VersionTLS13, VersionTLS13, true, true, "tls13: DC server support"}, + {true, VersionTLS13, VersionTLS12, false, false, "server using TLS 1.2. No DC is supported in that version."}, + {true, VersionTLS11, VersionTLS13, false, false, "client using TLS 1.1. No DC is supported in that version."}, + {true, VersionTLS13, VersionTLS10, false, false, "server using TLS 1.0. No DC is supported in that version."}, } // Checks that the client suppports a version >= 1.3 and accepts Delegated @@ -931,7 +950,7 @@ func testClientGetPQCertificate(cr *CertificateRequestInfo) (*Certificate, error } // Test the server authentication with the Delegated Credential extension using -// KEMs. +// PQTLS. func TestDCPQHandshakeServerAuth(t *testing.T) { serverMsg := "hello, client" clientMsg := "hello, server" @@ -953,7 +972,7 @@ func TestDCPQHandshakeServerAuth(t *testing.T) { clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true) + usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with kem #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -965,9 +984,92 @@ func TestDCPQHandshakeServerAuth(t *testing.T) { t.Errorf("test #%d (%s) with kem #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) } - //if !usedKEMTLS && test.expectSuccess { - // t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) - //} + if usedKEMTLS && test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) + } } } } + +// Test the client authentication with the Delegated Credential extension with +// PQTLS. +func TestDCPQHandshakeClientAuth(t *testing.T) { + clientMsg := "hello, server" + serverMsg := "hello, client" + + serverConfig := dcTestConfig.Clone() + serverConfig.ClientAuth = RequestClientCert + serverConfig.GetCertificate = testServerGetPQCertificate + serverConfig.PQTLSEnabled = true + serverConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} + + clientConfig := dcTestConfig.Clone() + clientConfig.GetClientCertificate = testClientGetPQCertificate + clientConfig.SupportDelegatedCredential = true // to force the sending of a PQ DC + clientConfig.PQTLSEnabled = true + clientConfig.CurvePreferences = []CurveID{SIKEp434, Kyber512} + + for i, test := range dcPQClientTests { + serverConfig.SupportDelegatedCredential = test.serverDCSupport + + for dcCount = 0; dcCount < len(dcTestDCPQScheme); dcCount++ { + initDCTest() + serverConfig.MaxVersion = test.serverMaxVers + clientConfig.MaxVersion = test.clientMaxVers + + usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", true) + + if err != nil && test.expectSuccess { + t.Errorf("test #%d (%s) with kem algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) + } else if err == nil && !test.expectSuccess { + t.Errorf("test #%d (%s) with kem algorithm #%d succeeds; expected failure", i, test.name, dcCount) + } + + if usedDC != test.expectDC { + t.Errorf("test #%d (%s) with kem algorithm #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) + } + + if usedKEMTLS && test.expectSuccess { + t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) + } + } + } +} + +// Test server and client authentication with the Delegated Credential extension with pqtls. +func TestDCPQHandshakeClientAndServerAuth(t *testing.T) { + clientMsg := "hello, server" + serverMsg := "hello, client" + + serverConfig := dcTestConfig.Clone() + serverConfig.ClientAuth = RequestClientCert + serverConfig.GetCertificate = testServerGetPQCertificate + clientConfig := dcTestConfig.Clone() + clientConfig.GetClientCertificate = testClientGetPQCertificate + clientConfig.PQTLSEnabled = true + serverConfig.PQTLSEnabled = true + clientConfig.CurvePreferences = []CurveID{Kyber512} + serverConfig.CurvePreferences = []CurveID{Kyber512} + + serverConfig.SupportDelegatedCredential = true + clientConfig.SupportDelegatedCredential = true + + serverConfig.MaxVersion = VersionTLS13 + clientConfig.MaxVersion = VersionTLS13 + + initDCTest() + + usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true) + + if err != nil { + t.Errorf("test server and client auth with kems fails: %s", err.Error()) + } + + if usedDC != true { + t.Errorf("test server and client auth with kems does not succeed") + } + + if usedKEMTLS { + t.Errorf("test server and client auth with kems did not use kemtls") + } +} From 8cc3f96dc30574591a0fdebf08d08aed351f1bb8 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 20 Apr 2021 16:57:55 +0100 Subject: [PATCH 32/69] Implement ed448 --- src/crypto/tls/auth.go | 4 +- src/crypto/tls/common.go | 3 + src/crypto/tls/delegated_credentials.go | 8 +- src/crypto/tls/delegated_credentials_test.go | 2 +- .../Client-TLSv10-ClientCert-ECDSA-ECDSA | 104 ++-- .../Client-TLSv10-ClientCert-ECDSA-RSA | 98 +-- .../Client-TLSv10-ClientCert-RSA-ECDSA | 98 +-- .../testdata/Client-TLSv10-ClientCert-RSA-RSA | 96 +-- .../testdata/Client-TLSv10-ECDHE-ECDSA-AES | 82 +-- .../tls/testdata/Client-TLSv10-ECDHE-RSA-AES | 78 +-- .../Client-TLSv10-ExportKeyingMaterial | 78 +-- src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 | 46 +- .../testdata/Client-TLSv11-ECDHE-ECDSA-AES | 80 +-- .../tls/testdata/Client-TLSv11-ECDHE-RSA-AES | 78 +-- src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 | 46 +- .../testdata/Client-TLSv12-AES128-GCM-SHA256 | 50 +- .../tls/testdata/Client-TLSv12-AES128-SHA256 | 64 +- .../testdata/Client-TLSv12-AES256-GCM-SHA384 | 50 +- src/crypto/tls/testdata/Client-TLSv12-ALPN | 70 +-- .../Client-TLSv12-ClientCert-ECDSA-ECDSA | 102 ++-- .../Client-TLSv12-ClientCert-ECDSA-RSA | 94 +-- .../testdata/Client-TLSv12-ClientCert-Ed25519 | 78 +-- ...nt-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 | 90 +-- .../Client-TLSv12-ClientCert-RSA-ECDSA | 108 ++-- .../testdata/Client-TLSv12-ClientCert-RSA-RSA | 90 +-- .../Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 | 90 +-- .../Client-TLSv12-ClientCert-RSA-RSAPSS | 90 +-- .../testdata/Client-TLSv12-ECDHE-ECDSA-AES | 80 +-- .../Client-TLSv12-ECDHE-ECDSA-AES-GCM | 74 +-- .../Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 | 90 +-- ...lient-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 | 76 +-- ...lient-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 | 70 +-- .../tls/testdata/Client-TLSv12-ECDHE-RSA-AES | 78 +-- .../Client-TLSv12-ECDHE-RSA-AES128-SHA256 | 86 +-- .../Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 | 68 +-- src/crypto/tls/testdata/Client-TLSv12-Ed25519 | 60 +- .../Client-TLSv12-ExportKeyingMaterial | 68 +-- .../tls/testdata/Client-TLSv12-P256-ECDHE | 82 +-- src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 | 46 +- .../testdata/Client-TLSv12-RenegotiateOnce | 365 ++++++------ .../testdata/Client-TLSv12-RenegotiateTwice | 556 +++++++++--------- .../Client-TLSv12-RenegotiateTwiceRejected | 371 ++++++------ .../Client-TLSv12-RenegotiationRejected | 74 +-- src/crypto/tls/testdata/Client-TLSv12-SCT | 68 +-- .../tls/testdata/Client-TLSv12-X25519-ECDHE | 74 +-- .../tls/testdata/Client-TLSv13-AES128-SHA256 | 154 ++--- .../tls/testdata/Client-TLSv13-AES256-SHA384 | 158 ++--- src/crypto/tls/testdata/Client-TLSv13-ALPN | 158 ++--- .../testdata/Client-TLSv13-CHACHA20-SHA256 | 154 ++--- .../Client-TLSv13-ClientCert-ECDSA-RSA | 252 ++++---- .../testdata/Client-TLSv13-ClientCert-Ed25519 | 218 +++---- .../Client-TLSv13-ClientCert-RSA-ECDSA | 242 ++++---- .../Client-TLSv13-ClientCert-RSA-RSAPSS | 260 ++++---- src/crypto/tls/testdata/Client-TLSv13-ECDSA | 146 ++--- src/crypto/tls/testdata/Client-TLSv13-Ed25519 | 110 ++-- .../Client-TLSv13-ExportKeyingMaterial | 154 ++--- .../testdata/Client-TLSv13-HelloRetryRequest | 175 +++--- .../tls/testdata/Client-TLSv13-KeyUpdate | 170 +++--- .../tls/testdata/Client-TLSv13-P256-ECDHE | 162 ++--- .../tls/testdata/Client-TLSv13-X25519-ECDHE | 156 ++--- ...er-TLSv12-ClientAuthRequestedAndECDSAGiven | 80 +-- ...-TLSv12-ClientAuthRequestedAndEd25519Given | 72 +-- .../Server-TLSv12-ClientAuthRequestedAndGiven | 80 +-- ...TLSv12-ClientAuthRequestedAndPKCS1v15Given | 80 +-- .../Server-TLSv12-ClientAuthRequestedNotGiven | 62 +- ...er-TLSv13-ClientAuthRequestedAndECDSAGiven | 332 +++++------ ...-TLSv13-ClientAuthRequestedAndEd25519Given | 272 ++++----- .../Server-TLSv13-ClientAuthRequestedAndGiven | 328 +++++------ .../Server-TLSv13-ClientAuthRequestedNotGiven | 182 +++--- src/crypto/tls/tls_cf.go | 2 + src/crypto/x509/x509.go | 6 + src/crypto/x509/x509_cf.go | 2 + 72 files changed, 4228 insertions(+), 4202 deletions(-) diff --git a/src/crypto/tls/auth.go b/src/crypto/tls/auth.go index 47198657544..c40fdaec16b 100644 --- a/src/crypto/tls/auth.go +++ b/src/crypto/tls/auth.go @@ -119,6 +119,8 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType sigType = signatureECDSA case Ed25519: sigType = signatureEd25519 + case Ed448: + sigType = signatureEd448 case KEMTLSWithSIKEp434, KEMTLSWithKyber512: sigType = authKEMTLS case PQTLSWithDilithium3: @@ -145,7 +147,7 @@ func typeAndHashFromSignatureScheme(signatureAlgorithm SignatureScheme) (sigType hash = crypto.SHA384 case PKCS1WithSHA512, PSSWithSHA512, ECDSAWithP521AndSHA512: hash = crypto.SHA512 - case Ed25519: + case Ed25519, Ed448: hash = directSigning case KEMTLSWithSIKEp434, KEMTLSWithKyber512: hash = directSigning diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 3c87d14b895..9489a03af38 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -181,6 +181,7 @@ const ( signatureRSAPSS signatureECDSA signatureEd25519 + signatureEd448 signatureEdDilithium3 signatureEdDilithium4 authKEMTLS // for the KEMTLS @@ -216,6 +217,7 @@ var supportedSignatureAlgorithms = []SignatureScheme{ var supportedSignatureAlgorithmsDC = []SignatureScheme{ ECDSAWithP256AndSHA256, Ed25519, + Ed448, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512, @@ -488,6 +490,7 @@ const ( // EdDSA algorithms. Ed25519 SignatureScheme = 0x0807 + Ed448 SignatureScheme = 0x0808 // Legacy signature and hash algorithms for TLS 1.2. PKCS1WithSHA1 SignatureScheme = 0x0201 diff --git a/src/crypto/tls/delegated_credentials.go b/src/crypto/tls/delegated_credentials.go index 2936e486dd1..2b59567b7ec 100644 --- a/src/crypto/tls/delegated_credentials.go +++ b/src/crypto/tls/delegated_credentials.go @@ -129,7 +129,7 @@ func (cred *credential) marshalPublicKeyInfo() ([]byte, error) { case ECDSAWithP256AndSHA256, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512, - Ed25519, + Ed25519, Ed448, KEMTLSWithSIKEp434, KEMTLSWithKyber512, PQTLSWithDilithium3, PQTLSWithDilithium4: rawPub, err := x509.MarshalPKIXPublicKey(cred.publicKey) @@ -369,6 +369,12 @@ func NewDelegatedCredential(cert *Certificate, pubAlgo SignatureScheme, validTim if err != nil { return nil, nil, err } + case Ed448: + scheme := schemes.ByName("Ed448") + pubK, privK, err = scheme.GenerateKey() + if err != nil { + return nil, nil, err + } case KEMTLSWithSIKEp434: pubK, privK, err = kem.GenerateKey(rand.Reader, kem.SIKEp434) if err != nil { diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index ab132e7a6b3..09708588306 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -142,7 +142,7 @@ var ( clientPQDC []DelegatedCredentialPair dcNow time.Time - dcTestDCSignatureScheme = []SignatureScheme{ECDSAWithP256AndSHA256, Ed25519, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512} + dcTestDCSignatureScheme = []SignatureScheme{ECDSAWithP256AndSHA256, Ed25519, Ed448, ECDSAWithP384AndSHA384, ECDSAWithP521AndSHA512} dcTestDCKEMScheme = []SignatureScheme{KEMTLSWithSIKEp434, KEMTLSWithKyber512} dcTestDCPQScheme = []SignatureScheme{PQTLSWithDilithium3, PQTLSWithDilithium4} ) diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA index af9b528f2c1..91813775e8f 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 25 a8 78 8a 11 |....Y...U..%.x..| -00000010 2e 02 13 26 5b 30 97 f4 fb ec 61 94 c2 45 bb b7 |...&[0....a..E..| -00000020 4e 5e 2f 8f 07 b2 f3 cd af 2c 23 20 9c 2e 23 74 |N^/......,# ..#t| -00000030 ba eb 18 8a b0 47 94 ad a6 dc bd 37 f0 c5 b7 c5 |.....G.....7....| -00000040 72 8e 6a 89 95 c9 ee 46 2d c4 e1 f0 c0 09 00 00 |r.j....F-.......| +00000000 16 03 01 00 59 02 00 00 55 03 01 de 63 27 0a cf |....Y...U...c'..| +00000010 9a 00 47 fd 2c da fb eb c3 da 39 a9 99 da 8c 1f |..G.,.....9.....| +00000020 c7 1b a7 43 97 01 02 69 92 62 8d 20 6e d6 22 68 |...C...i.b. n."h| +00000030 b1 99 91 fc a5 ee cb ba 3a 0e 1c 02 1f 24 c8 f7 |........:....$..| +00000040 ab ac 12 81 82 03 ef 2f 05 5e a3 20 c0 09 00 00 |......./.^. ....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,20 +56,20 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b4 0c 00 00 b0 03 00 1d 20 72 fe |*............ r.| -00000280 b6 b2 52 a2 ba b7 73 71 01 19 a1 27 85 bc a9 f7 |..R...sq...'....| -00000290 98 31 19 ae f4 78 9d 18 27 c8 72 21 09 28 00 8a |.1...x..'.r!.(..| -000002a0 30 81 87 02 41 3b 97 22 25 0b 34 bc 14 24 bc ba |0...A;."%.4..$..| -000002b0 dd 54 7d 4d 1e 8f 89 83 fb 74 fe 41 09 ef 81 ab |.T}M.....t.A....| -000002c0 9c 9b 04 04 d6 71 71 ab 19 6b fa 7f 58 94 6e a8 |.....qq..k..X.n.| -000002d0 d4 4b 52 f8 e7 a5 c1 cf 65 4a a2 ca 4a 77 ab ad |.KR.....eJ..Jw..| -000002e0 14 1f c9 fb df a0 02 42 01 7e a4 54 d5 c2 b6 02 |.......B.~.T....| -000002f0 8f 88 51 a8 3e fc 0f 5e 2a 5f c6 3a 9f 69 54 4b |..Q.>..^*_.:.iTK| -00000300 26 40 da 94 d5 e9 0b fc c3 29 f4 f7 10 40 8d f8 |&@.......)...@..| -00000310 dc 7d ea 0d 08 a9 f8 9b 21 95 9e ee c7 56 5c bd |.}......!....V\.| -00000320 c9 9b 1a dc 33 6d 1b ea 6c 71 16 03 01 00 0a 0d |....3m..lq......| -00000330 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e 00 |......@.........| -00000340 00 00 |..| +00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 ac 7b |*............ .{| +00000280 48 31 66 8e ba 38 b2 b6 a9 69 23 4b 9c 0b 37 6b |H1f..8...i#K..7k| +00000290 76 10 ea fa 0d 6a 08 7e 31 d3 e5 62 e5 6e 00 8b |v....j.~1..b.n..| +000002a0 30 81 88 02 42 00 bd 7b fb 48 94 07 17 4d 50 e7 |0...B..{.H...MP.| +000002b0 de 2a bf 57 a9 fc a9 ce 1b a0 73 78 04 36 8a 20 |.*.W......sx.6. | +000002c0 2f 41 98 e0 33 27 18 33 71 5d 63 04 97 f6 7e ba |/A..3'.3q]c...~.| +000002d0 c5 c0 a6 84 a6 d9 44 79 8c ac 46 90 c6 58 87 11 |......Dy..F..X..| +000002e0 ca c1 8a 7b 96 43 85 02 42 01 14 be e7 ea 3c 8e |...{.C..B.....<.| +000002f0 f9 6e 86 15 0b 51 eb ec 29 6b 1b 3e a2 96 9e 6e |.n...Q..)k.>...n| +00000300 82 ef 5b 28 7b 04 3f b2 30 b2 09 f4 f4 b3 6e d8 |..[({.?.0.....n.| +00000310 d6 88 7c b4 f8 fb 3a 50 6f 2f e5 20 b8 66 4e b6 |..|...:Po/. .fN.| +00000320 7d cd 99 9a 46 4e 89 ec 44 7d 53 16 03 01 00 0a |}...FN..D}S.....| +00000330 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| +00000340 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 01 02 0a 0b 00 02 06 00 02 03 00 02 00 30 |...............0| 00000010 82 01 fc 30 82 01 5e 02 09 00 9a 30 84 6c 26 35 |...0..^....0.l&5| @@ -106,30 +106,30 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| -00000240 00 8d 00 8b 30 81 88 02 42 00 90 4b 86 e2 ac 38 |....0...B..K...8| -00000250 7e 18 a6 ab d6 7a 5d 83 ff ac d1 b2 15 40 68 9e |~....z]......@h.| -00000260 35 95 76 09 1d af 1c 24 5d 92 5d 96 af 54 89 33 |5.v....$].]..T.3| -00000270 23 e7 0c ff 73 d2 34 51 b5 70 81 47 15 1c 0e 05 |#...s.4Q.p.G....| -00000280 4b 4b 3e a8 da 41 78 4a da f8 7f 02 42 01 64 22 |KK>..AxJ....B.d"| -00000290 81 ef e4 de c9 4e 0b c0 87 08 63 2f f7 02 e3 a7 |.....N....c/....| -000002a0 4c b9 a8 8b 1c fc 46 4e 94 fd e5 4b 88 d7 c2 3f |L.....FN...K...?| -000002b0 72 46 d6 9f 90 20 e5 94 c6 53 36 d5 08 3d 1e c7 |rF... ...S6..=..| -000002c0 bc 5a 91 e9 52 00 3e c5 dc f5 bc c2 f8 76 50 14 |.Z..R.>......vP.| -000002d0 03 01 00 01 01 16 03 01 00 30 62 36 d9 fb 88 d4 |.........0b6....| -000002e0 05 46 f9 30 98 9e cb 52 93 46 62 cb 09 79 0a 5c |.F.0...R.Fb..y.\| -000002f0 a4 58 64 99 3f ea 0f eb 15 32 c2 f3 b0 ea 17 99 |.Xd.?....2......| -00000300 02 d3 17 09 8f 6b 40 33 08 c8 |.....k@3..| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 90 0f 00 |...._X.;t.......| +00000240 00 8c 00 8a 30 81 87 02 42 00 ba 52 f9 37 2d 13 |....0...B..R.7-.| +00000250 cc f0 5a f6 0e 76 27 ce 16 36 d7 4c 08 a5 67 04 |..Z..v'..6.L..g.| +00000260 09 49 bd 67 b8 6e ff 09 79 f4 b1 d3 e4 f8 45 2a |.I.g.n..y.....E*| +00000270 ca 18 56 b0 13 c3 ee b6 5c 38 41 ee 85 c3 29 b9 |..V.....\8A...).| +00000280 e9 69 0d d0 f4 04 be 19 c3 e3 a4 02 41 4e 63 36 |.i..........ANc6| +00000290 e8 31 6c c8 fb d8 04 15 14 27 96 93 e3 ce 5e c7 |.1l......'....^.| +000002a0 28 d8 e8 2d 1d 98 f1 2e e5 fa 10 c4 3b c0 12 c8 |(..-........;...| +000002b0 48 cb 25 c5 23 53 f3 fd ec c8 6a 26 45 c4 2b 1c |H.%.#S....j&E.+.| +000002c0 cd bd fb 2f a9 0b ed 90 48 30 1d ec 22 e2 14 03 |.../....H0.."...| +000002d0 01 00 01 01 16 03 01 00 30 fe a7 cf 13 19 d7 8b |........0.......| +000002e0 3b d9 2f ee 06 c7 bc 0d 7e 21 79 49 78 1c 6d 72 |;./.....~!yIx.mr| +000002f0 fe c5 13 04 e2 9b e4 2c 8f b5 e7 1b 1b d0 29 93 |.......,......).| +00000300 7f 2a 29 fb fb fb 54 e0 9d |.*)...T..| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 24 9c 70 ca 3b |..........0$.p.;| -00000010 f9 5b a4 a3 63 43 67 08 2e 54 31 b1 81 71 b4 5a |.[..cCg..T1..q.Z| -00000020 b4 db ee 92 d5 a0 22 b5 ca cd a7 8f 77 a2 e9 e6 |......".....w...| -00000030 e0 86 46 52 20 04 84 30 46 e1 19 |..FR ..0F..| +00000000 14 03 01 00 01 01 16 03 01 00 30 96 e6 45 8c 03 |..........0..E..| +00000010 73 2b 3a a6 73 b2 40 f6 1b 70 04 36 7b 5b c3 c2 |s+:.s.@..p.6{[..| +00000020 4a 92 ab ad 33 e9 c4 e5 d3 03 2a c3 11 94 85 b7 |J...3.....*.....| +00000030 04 2e 0c 9f ae 3c 95 a5 5a 6a f5 |.....<..Zj.| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 bb 26 bd ce 18 7b 6b 2e 1c 1b c8 |.... .&...{k....| -00000010 61 71 57 12 d6 65 b3 6a fd 35 28 54 22 24 3a 0d |aqW..e.j.5(T"$:.| -00000020 47 08 dd 67 ca 17 03 01 00 20 7e e5 dd 4e 3d 8a |G..g..... ~..N=.| -00000030 45 a4 31 de c3 2d f1 bb d6 27 2f c8 91 2c 97 32 |E.1..-...'/..,.2| -00000040 b0 cb f8 c3 58 ca 6d a4 f9 35 15 03 01 00 20 9a |....X.m..5.... .| -00000050 99 2b 82 c4 b7 09 11 96 f8 37 b0 8c 54 86 50 3e |.+.......7..T.P>| -00000060 1b ea 70 46 bd 9b 71 5a 6c 20 53 95 97 2d 77 |..pF..qZl S..-w| +00000000 17 03 01 00 20 dc 38 22 a0 d3 92 4d 27 ef 3d f9 |.... .8"...M'.=.| +00000010 a4 0c 94 a6 4a 40 43 2a 93 31 ae ba a6 32 37 44 |....J@C*.1...27D| +00000020 0b 0b cc 05 10 17 03 01 00 20 9c c2 bd 64 f5 98 |......... ...d..| +00000030 cc 69 ef 18 91 6f 97 35 be 7f b0 62 9c 98 8a 7c |.i...o.5...b...|| +00000040 ff 13 3e 99 39 0e 56 4e e9 92 15 03 01 00 20 1d |..>.9.VN...... .| +00000050 7a 9c c2 b2 d7 e1 a5 f1 af f7 c2 3f e7 8a ad 41 |z..........?...A| +00000060 26 26 04 cc 7d 1b ee b3 56 dc 63 6f 10 69 92 |&&..}...V.co.i.| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA index 5f324beccdf..7c09f77009c 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-ECDSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 f7 7d 44 38 5e |....Y...U...}D8^| -00000010 87 05 89 f4 60 d3 de a7 a6 24 d9 01 ff f6 9d a5 |....`....$......| -00000020 df a7 28 6c 51 2c ad 29 25 52 ad 20 52 c4 71 a7 |..(lQ,.)%R. R.q.| -00000030 87 85 ed 76 85 c4 98 c5 c1 de 53 83 5e 6f 6e d5 |...v......S.^on.| -00000040 16 e1 24 88 9f 34 eb a2 9d d7 c1 89 c0 13 00 00 |..$..4..........| +00000000 16 03 01 00 59 02 00 00 55 03 01 f9 f7 61 b3 a8 |....Y...U....a..| +00000010 28 68 f6 11 94 f6 ea 95 f4 db d1 cc c7 da 4a a0 |(h............J.| +00000020 d3 72 c5 1d 2e 89 17 5e be 20 ea 20 d1 98 c8 b9 |.r.....^. . ....| +00000030 ec 68 c1 a8 22 8b f0 82 36 7d 48 9b 82 7e fd c8 |.h.."...6}H..~..| +00000040 b8 21 49 63 98 77 52 e6 25 38 e0 e1 c0 13 00 00 |.!Ic.wR.%8......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 f6 21 73 61 44 66 71 |........ .!saDfq| -000002d0 7d 89 1e ef 9a e1 4d fe 4d e7 88 d0 e5 8d bb 3c |}.....M.M......<| -000002e0 33 d9 0b 47 89 5c 10 05 49 00 80 04 2f 01 a3 63 |3..G.\..I.../..c| -000002f0 c7 f0 69 ae 37 f5 0c a3 05 e5 13 b9 58 9d c9 c2 |..i.7.......X...| -00000300 a8 7f fe fb 30 d6 e0 29 ca d9 4d bb 70 36 eb 75 |....0..)..M.p6.u| -00000310 b8 e5 1b ae 21 b7 ff 6f 7b 6d 8e 3f 80 91 a1 19 |....!..o{m.?....| -00000320 fd 56 20 08 9d 14 5b 00 04 f0 32 22 e5 cf 33 a9 |.V ...[...2"..3.| -00000330 5e 47 2d 68 34 73 d8 e7 2e 89 7c da f4 ad 5a f8 |^G-h4s....|...Z.| -00000340 dd 9b c7 ad 8a e7 ed 48 6d c9 9d f4 c4 74 cb 71 |.......Hm....t.q| -00000350 63 a8 94 0a 4a 64 df 07 91 92 c1 82 8b b7 90 b2 |c...Jd..........| -00000360 21 48 94 99 a3 82 ed 59 72 25 70 16 03 01 00 0a |!H.....Yr%p.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 08 07 00 91 4a dc 22 |........ ....J."| +000002d0 c2 04 cc 85 21 76 e8 ab 28 42 c5 c5 3b cb 10 7a |....!v..(B..;..z| +000002e0 8f 71 e7 16 df 1e 67 46 31 00 80 14 3e c9 af 05 |.q....gF1...>...| +000002f0 db 12 e5 ba 9f b9 b1 e1 4e 1d c7 bc bc d6 84 a8 |........N.......| +00000300 02 99 69 86 ee 50 80 ac 4a e2 10 fa 4d 2f e1 54 |..i..P..J...M/.T| +00000310 a5 54 18 1a 32 0f d8 4b ca f1 15 8f a6 65 3e 1f |.T..2..K.....e>.| +00000320 ef 7b 40 ce f9 30 c3 9b ad b8 f2 fa d4 6a e4 e0 |.{@..0.......j..| +00000330 f5 90 d1 e8 bf 02 b4 d6 65 ce b4 84 cf 32 d8 11 |........e....2..| +00000340 50 e4 80 3d 14 ac 33 0c 0e 49 eb d5 26 c2 67 c5 |P..=..3..I..&.g.| +00000350 6a a1 a1 f3 4c fd 5d 3e 81 60 8f 63 ad c4 31 f4 |j...L.]>.`.c..1.| +00000360 3c 87 76 8a e7 8e a2 fb 5d 85 8b 16 03 01 00 0a |<.v.....].......| 00000370 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000380 00 00 00 |...| >>> Flow 3 (client to server) @@ -110,30 +110,30 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 91 0f 00 |...._X.;t.......| -00000240 00 8d 00 8b 30 81 88 02 42 01 19 50 a3 e0 90 d1 |....0...B..P....| -00000250 a8 68 14 39 a0 ac 18 33 62 b9 ec 07 da 69 b7 be |.h.9...3b....i..| -00000260 a1 fb f9 12 43 8a ac 4c 9e e7 97 bd 83 80 a8 a8 |....C..L........| -00000270 69 f1 62 ff d5 25 e4 7b 6f ef c6 52 5f a0 c2 32 |i.b..%.{o..R_..2| -00000280 a8 1c 09 a2 3e 3c bc dd f8 30 2b 02 42 01 07 7c |....><...0+.B..|| -00000290 6e 39 ff 39 5b 83 50 64 e6 71 16 e8 80 12 98 4a |n9.9[.Pd.q.....J| -000002a0 79 c1 b9 8b ab 89 1d 54 ca 2f dc 97 14 d0 c2 c2 |y......T./......| -000002b0 9e aa 9a 7b 3e a3 73 78 e3 09 7a 6d 01 95 5f 0d |...{>.sx..zm.._.| -000002c0 f4 76 17 d0 be 13 b8 61 15 91 0c 69 7c 67 0b 14 |.v.....a...i|g..| -000002d0 03 01 00 01 01 16 03 01 00 30 dc 38 cc b3 13 32 |.........0.8...2| -000002e0 ed 54 9c f9 9e dc 8c 0c aa 95 39 d4 f7 e7 ad b6 |.T........9.....| -000002f0 7d 87 69 12 cc 37 78 6e 19 f9 cc 0f 32 ec db 3b |}.i..7xn....2..;| -00000300 83 aa 88 65 00 61 3e a1 ab ec |...e.a>...| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 8f 0f 00 |...._X.;t.......| +00000240 00 8b 00 89 30 81 86 02 41 3b b5 99 1b a9 3a 5d |....0...A;....:]| +00000250 dd 93 c5 f3 29 e8 50 4b d7 90 56 16 26 88 50 c6 |....).PK..V.&.P.| +00000260 ac f0 6b 91 c7 3c 8f f9 22 36 ed a6 92 52 68 cb |..k..<.."6...Rh.| +00000270 af fa 1b d4 27 67 54 ff ef ea 76 84 41 a3 1d 05 |....'gT...v.A...| +00000280 8e 1a 0a 65 16 38 67 5e 49 26 02 41 43 ab 74 de |...e.8g^I&.AC.t.| +00000290 24 36 ec 55 2f 41 ed 83 26 a1 ed 50 fe 95 dc c7 |$6.U/A..&..P....| +000002a0 b8 d0 10 1a 4b 3d 53 31 a5 9e 31 1e 13 4a 82 6f |....K=S1..1..J.o| +000002b0 a8 a6 76 4e 1d 09 d6 e9 38 df f3 f1 1a cc 90 cf |..vN....8.......| +000002c0 44 59 a1 69 7f 73 9f d4 ec 02 99 b5 0e 14 03 01 |DY.i.s..........| +000002d0 00 01 01 16 03 01 00 30 f8 b2 67 bb 31 a5 70 7f |.......0..g.1.p.| +000002e0 b6 cb 57 f8 77 dc 79 b0 fc bb ac 88 e2 82 cd f5 |..W.w.y.........| +000002f0 33 30 06 35 fb 53 0b b1 03 a0 5a 55 5e c0 66 cf |30.5.S....ZU^.f.| +00000300 17 6f 45 91 15 04 c4 1e |.oE.....| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 2e 67 e3 09 f6 |..........0.g...| -00000010 6c 25 69 98 de 71 92 57 36 59 4f 54 d3 a1 da f6 |l%i..q.W6YOT....| -00000020 6c 93 ed 0b b6 22 fd 59 f8 5e ae 2a 9a e7 c4 87 |l....".Y.^.*....| -00000030 d9 4f 66 54 4d 49 e9 a7 3b ef fa |.OfTMI..;..| +00000000 14 03 01 00 01 01 16 03 01 00 30 1b 14 bb 33 ed |..........0...3.| +00000010 c2 a1 97 52 53 02 0f 83 ad 1b 90 14 04 7f a6 22 |...RS.........."| +00000020 35 4c 76 3d 42 e5 07 63 ba 23 05 04 0f 2a c4 bd |5Lv=B..c.#...*..| +00000030 43 32 cc 11 b0 68 2d 9b 52 8b fd |C2...h-.R..| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 2f 3b 7a 77 c5 f4 d1 fe 6f 81 e4 |.... /;zw....o..| -00000010 e1 71 0b ac 4c 77 98 cc 64 80 3a 91 31 b1 09 4c |.q..Lw..d.:.1..L| -00000020 da 30 bf 16 75 17 03 01 00 20 82 08 db d8 e1 72 |.0..u.... .....r| -00000030 8b bc bb d0 15 b6 54 95 f4 a9 8f d2 7e fa e5 ce |......T.....~...| -00000040 8d e0 a5 49 e7 12 9a 5e b8 7e 15 03 01 00 20 68 |...I...^.~.... h| -00000050 25 be 14 81 8f 02 f1 f0 ba aa 57 ce 7d e7 06 40 |%.........W.}..@| -00000060 66 80 25 6f 9b 71 0f 40 c8 c3 9f 44 4e 36 14 |f.%o.q.@...DN6.| +00000000 17 03 01 00 20 23 e1 84 5b ad c1 ad 0e a0 fe 38 |.... #..[......8| +00000010 44 ea c5 8c 5d 03 37 5d 7c 66 5e fc 22 df 3b a9 |D...].7]|f^.".;.| +00000020 dd 14 63 b9 cc 17 03 01 00 20 61 c0 9b 9a f5 ed |..c...... a.....| +00000030 11 92 53 38 0e b2 22 10 ce 4a 6a 21 2f a2 22 13 |..S8.."..Jj!/.".| +00000040 4f 9e 77 e3 f5 56 28 06 d5 ef 15 03 01 00 20 9a |O.w..V(....... .| +00000050 8c b5 ba 4d e9 08 a7 7f 38 ec 93 89 9c 55 7a 3b |...M....8....Uz;| +00000060 5f 3b 27 4f 3e 91 2a e8 42 72 ca 93 17 da fe |_;'O>.*.Br.....| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA index 47c2bd46c38..e9aeb25d1d8 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 83 4a 07 cb 23 |....Y...U...J..#| -00000010 96 f2 8a 32 b8 6d cf 6c 56 68 8a d3 d2 df 7d bd |...2.m.lVh....}.| -00000020 bc 06 9a 65 14 cc 33 0f 2e 6d d4 20 31 ef ea d2 |...e..3..m. 1...| -00000030 8c 14 31 e6 59 29 7f 9b 44 6b 00 f5 6b 19 7d e7 |..1.Y)..Dk..k.}.| -00000040 d7 d7 50 47 f6 be ae 8e 53 43 0a 3f c0 09 00 00 |..PG....SC.?....| +00000000 16 03 01 00 59 02 00 00 55 03 01 4f ed ef dc 7c |....Y...U..O...|| +00000010 4e 2f f4 fe c2 c6 b4 aa 1a c7 66 8f 02 95 94 9d |N/........f.....| +00000020 95 0c 58 20 d0 b0 69 e8 00 34 5a 20 9c d9 b1 a8 |..X ..i..4Z ....| +00000030 94 43 eb f5 36 2b 26 37 9d 6d 8a ef 9f 0f c1 45 |.C..6+&7.m.....E| +00000040 ee 4e f8 17 45 ec 74 56 f5 b8 dd bb c0 09 00 00 |.N..E.tV........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 4d fa |*............ M.| -00000280 b2 9a 25 c5 b1 7d f9 6c da 86 01 8b b4 77 8c ac |..%..}.l.....w..| -00000290 3c 45 62 75 40 84 c2 1e 70 02 60 61 6a 7f 00 8b |....u.| +00000310 3f 66 74 33 e0 69 fc 8f a2 87 c9 63 db ed c2 b8 |?ft3.i.....c....| +00000320 f1 e4 8d 57 09 3c 34 bb 56 e9 5f 16 03 01 00 0a |...W.<4.V._.....| 00000330 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000340 00 00 00 |...| >>> Flow 3 (client to server) @@ -106,29 +106,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 5d 1f e7 48 b4 30 2c 79 bf |.......]..H.0,y.| -00000240 53 d3 07 b2 95 5e a3 de c7 74 f1 35 0f 7e 3c 4e |S....^...t.5.~kf.........| -000002c0 00 30 51 5c db 6f 0a 1d fd a8 13 e0 3c ff 2b c6 |.0Q\.o......<.+.| -000002d0 2f cf 68 f4 e1 f7 1f 27 fa 5d cc 46 7b 15 8d 24 |/.h....'.].F{..$| -000002e0 20 8a 32 d2 00 a6 db 77 ed 94 3a 7f e2 38 d8 12 | .2....w..:..8..| -000002f0 e6 93 |..| +00000230 86 0f 00 00 82 00 80 06 cf 29 53 de 70 87 b6 a5 |.........)S.p...| +00000240 69 ec ee 92 9c 18 5c 16 4f e2 c8 91 e6 42 c2 3f |i.....\.O....B.?| +00000250 95 8b 0f 4c 41 61 f5 70 38 d3 91 d2 41 da 46 b0 |...LAa.p8...A.F.| +00000260 ec 69 36 23 8e 6d 05 f5 3c 27 34 55 a9 94 d9 71 |.i6#.m..<'4U...q| +00000270 79 f4 72 f4 f9 f0 f6 65 ba f1 20 ed 6c 5c 5e a4 |y.r....e.. .l\^.| +00000280 2c 2b 65 58 63 6e cb a0 df ea 24 ea e0 4d 15 a0 |,+eXcn....$..M..| +00000290 e6 8c 20 3c 1a 65 dc 3f f4 6d 87 39 d0 0c 2e 90 |.. <.e.?.m.9....| +000002a0 1a bd 74 7c d6 0b 60 c7 71 4b 86 42 5c 83 f0 72 |..t|..`.qK.B\..r| +000002b0 cc 0f 29 d9 1d 3b 23 14 03 01 00 01 01 16 03 01 |..)..;#.........| +000002c0 00 30 17 bd 63 2f aa 09 ab d2 f0 32 b9 7f 75 22 |.0..c/.....2..u"| +000002d0 18 18 a3 68 16 4a 28 12 30 1f 94 0c cf 96 de b3 |...h.J(.0.......| +000002e0 98 2a 9c e6 66 23 c7 cb cd 47 f2 de 5b 2a ba 78 |.*..f#...G..[*.x| +000002f0 f3 83 |..| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 4a 54 07 fd fd |..........0JT...| -00000010 6d 04 79 ed 3d fe 35 b7 b1 e4 f9 be fe 6d 5b 2b |m.y.=.5......m[+| -00000020 72 f6 0a 17 b4 f5 1e 81 b8 c5 3d 42 27 79 3b 12 |r.........=B'y;.| -00000030 92 cc 44 c4 74 37 1a f3 90 2d d5 |..D.t7...-.| +00000000 14 03 01 00 01 01 16 03 01 00 30 60 9d 90 60 62 |..........0`..`b| +00000010 2e e4 8f 10 a2 52 83 24 14 26 08 b3 37 59 03 c4 |.....R.$.&..7Y..| +00000020 57 df 3f 34 35 f4 c8 c2 1f 4f 75 17 92 75 37 7e |W.?45....Ou..u7~| +00000030 78 02 1f 36 e2 65 26 77 15 31 6b |x..6.e&w.1k| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 3d 86 ab 3c da 4f 14 ea 8e 3b 75 |.... =..<.O...;u| -00000010 1c 61 0e a2 88 8e c0 10 06 c1 33 18 d6 57 37 63 |.a........3..W7c| -00000020 c4 cb e4 22 e2 17 03 01 00 20 9f 1d 6c b9 41 d0 |..."..... ..l.A.| -00000030 d2 15 02 88 46 6b 4e 14 81 73 13 5a 3c e3 83 8f |....FkN..s.Z<...| -00000040 a4 41 32 f3 9b 71 4a c5 02 6e 15 03 01 00 20 22 |.A2..qJ..n.... "| -00000050 de f5 17 c7 9a 3a dc 88 d7 ce 01 98 d7 11 ed 20 |.....:......... | -00000060 ab 11 5d 68 30 73 01 95 e6 13 82 56 bd e5 98 |..]h0s.....V...| +00000000 17 03 01 00 20 e9 87 5a ae bf 07 8c 64 16 67 ba |.... ..Z....d.g.| +00000010 ec ad 8a c8 dd 17 25 c7 99 bc 36 8c 79 7d fe 62 |......%...6.y}.b| +00000020 8a b4 b2 92 ee 17 03 01 00 20 67 60 54 96 75 35 |......... g`T.u5| +00000030 d4 d3 49 dc f7 44 f5 78 7e 5e e3 5c 06 a3 f4 16 |..I..D.x~^.\....| +00000040 af 4b c1 fc 11 cb bb ec 60 61 15 03 01 00 20 fc |.K......`a.... .| +00000050 b1 31 bc 8e 98 b8 a4 f4 11 bb 79 36 5c 19 81 80 |.1........y6\...| +00000060 aa 13 d4 72 7f 52 db 75 34 82 7e b2 a5 4e 3d |...r.R.u4.~..N=| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA index 76731557314..b9d182043c2 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv10-ClientCert-RSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 7a c9 0e cc 05 |....Y...U..z....| -00000010 2e 02 6e 0b 5d 5c 5a 40 a3 2d 30 32 f2 b3 e1 28 |..n.]\Z@.-02...(| -00000020 cc 9b 9d 68 53 c1 89 31 7b bf c5 20 1a 5b d5 19 |...hS..1{.. .[..| -00000030 d0 52 f9 94 1a d8 f4 c8 3e 43 58 5d 8b a2 c3 10 |.R......>CX]....| -00000040 7c 79 99 18 d1 45 55 19 ab fa 65 31 c0 13 00 00 ||y...EU...e1....| +00000000 16 03 01 00 59 02 00 00 55 03 01 84 54 17 9d c9 |....Y...U...T...| +00000010 ff 38 07 41 35 79 fc a1 b8 b3 33 7e e3 9c 5c 84 |.8.A5y....3~..\.| +00000020 67 79 3c f1 d5 81 58 95 56 07 3b 20 2c 62 a0 54 |gy<...X.V.; ,b.T| +00000030 9f 1f 62 c8 06 17 61 69 6b 49 8a 37 7d 5f 01 87 |..b...aikI.7}_..| +00000040 a6 e3 13 4e 08 49 74 ab 2e 0f f2 18 c0 13 00 00 |...N.It.........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 4c ef 37 19 ce a5 51 |........ L.7...Q| -000002d0 d9 69 7d bb 02 f5 7c f3 ee c2 24 5d 22 76 61 fe |.i}...|...$]"va.| -000002e0 52 64 46 6c 7a 1c bf 83 02 00 80 2f 07 60 26 86 |RdFlz....../.`&.| -000002f0 a9 49 f0 a4 7e c9 3e 7d 86 e4 4b 8d b2 1d 91 4d |.I..~.>}..K....M| -00000300 d9 c8 b7 65 b6 1e cc 22 ed 40 20 52 ae 61 bb 98 |...e...".@ R.a..| -00000310 59 0c 0e 80 68 b2 1e 7f de af ca 1e ba b9 33 71 |Y...h.........3q| -00000320 42 e1 32 75 b1 df a8 78 97 03 00 b4 f5 2f ed 6f |B.2u...x...../.o| -00000330 27 f9 9d 0d c4 b1 c1 93 de 4d 8d 78 e6 0a dc fc |'........M.x....| -00000340 f1 b2 41 ff eb 8b 6a df 8b 1a 6c 9c 67 b5 a7 ab |..A...j...l.g...| -00000350 21 af 5a 44 c3 ed 70 da 18 1e a1 47 0d 24 0b be |!.ZD..p....G.$..| -00000360 15 8c b6 40 17 df f0 d4 e3 2a f1 16 03 01 00 0a |...@.....*......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 db 1a c8 04 8d d7 40 |........ ......@| +000002d0 99 04 ac df 4b ac 04 1a 0a 59 e1 59 4b 77 97 97 |....K....Y.YKw..| +000002e0 80 66 1b ba 95 29 f3 4c 3e 00 80 8d 64 75 3d 11 |.f...).L>...du=.| +000002f0 00 ec 9f 7d de a0 14 46 31 b6 b5 71 7b 5f 34 cc |...}...F1..q{_4.| +00000300 06 59 19 35 4b 59 0d 7b c5 68 27 91 57 70 4d 04 |.Y.5KY.{.h'.WpM.| +00000310 cf 92 1a f1 7e 68 8e 15 70 05 b2 a9 bd 37 9f b4 |....~h..p....7..| +00000320 02 e7 5c 5a 24 47 03 8a 2b 64 df 29 a3 36 bb 57 |..\Z$G..+d.).6.W| +00000330 87 57 e9 00 85 52 88 25 27 92 99 3d a3 3b 19 e7 |.W...R.%'..=.;..| +00000340 c4 21 8c 1a 4d f6 2c ce 0b ee cf ab d5 df bb 21 |.!..M.,........!| +00000350 55 58 bb 34 8b 85 b7 ef c2 c7 47 b5 76 4d 87 5c |UX.4......G.vM.\| +00000360 ad 11 58 b8 33 b8 b1 91 77 d0 21 16 03 01 00 0a |..X.3...w.!.....| 00000370 0d 00 00 06 03 01 02 40 00 00 16 03 01 00 04 0e |.......@........| 00000380 00 00 00 |...| >>> Flow 3 (client to server) @@ -110,29 +110,29 @@ 00000200 e5 35 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 01 00 |......._X.;t....| -00000230 86 0f 00 00 82 00 80 aa 9b cd a6 6b 58 fc 55 28 |...........kX.U(| -00000240 b6 00 05 4f 0b 1e 6d 94 d1 47 76 bb 3e a3 3d 6d |...O..m..Gv.>.=m| -00000250 7b aa 50 e0 04 91 fe 87 9c db de 45 61 c6 ed 2e |{.P........Ea...| -00000260 bc ad 13 d2 6c 5a c2 c3 29 74 41 38 88 5d 2f 23 |....lZ..)tA8.]/#| -00000270 26 d7 37 a0 e4 7d 9c ed 89 63 ca ab a1 24 4e 67 |&.7..}...c...$Ng| -00000280 04 2e 23 90 e2 7a bd 28 cd 85 0c ef 35 8a 30 d6 |..#..z.(....5.0.| -00000290 fa 6b cb 18 90 86 f5 3a c5 8f 11 ac f4 f7 c9 92 |.k.....:........| -000002a0 31 db e7 79 f4 6d 11 06 e6 6a ac 67 43 04 e7 fa |1..y.m...j.gC...| -000002b0 4f 3e e9 48 5c cc 75 14 03 01 00 01 01 16 03 01 |O>.H\.u.........| -000002c0 00 30 34 12 44 76 db f3 af cc 2a 93 fb 7e 6b ed |.04.Dv....*..~k.| -000002d0 e4 ae c9 77 aa a4 0e 83 8e 67 00 ba ea 20 6d 99 |...w.....g... m.| -000002e0 ce 17 9f f2 25 b6 89 f2 92 e8 44 20 87 13 1b 23 |....%.....D ...#| -000002f0 d8 e0 |..| +00000230 86 0f 00 00 82 00 80 a8 5f cf ad 26 d3 85 5f a8 |........_..&.._.| +00000240 51 54 cd d7 a8 04 22 77 26 42 af 41 c3 04 eb 71 |QT...."w&B.A...q| +00000250 8d cc fc ef 79 20 da 01 9b 19 47 db 3e 31 15 55 |....y ....G.>1.U| +00000260 aa fb 07 61 6c 16 d1 32 1a 4a c3 f1 f0 8a 42 33 |...al..2.J....B3| +00000270 c3 bf d6 8a a0 06 f8 84 6b 5b 32 87 e8 85 bd 3c |........k[2....<| +00000280 1a 81 e8 74 2b f5 c9 f8 87 e6 0a bf 16 7d 35 ac |...t+........}5.| +00000290 2e a7 7a 65 50 25 7e 77 03 b8 ef 66 c7 bd 4e d1 |..zeP%~w...f..N.| +000002a0 47 5f 82 9d 58 a3 3e e6 16 3c 2f 11 79 a9 47 13 |G_..X.>..>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 84 f5 1b d2 9c |..........0.....| -00000010 03 51 06 2f 86 9c 05 e2 9f 8c ea af 9c 09 f9 e4 |.Q./............| -00000020 f0 36 34 68 68 4e 2f 5c be b1 26 dd a1 02 59 a4 |.64hhN/\..&...Y.| -00000030 c7 92 95 ed e8 50 fa 37 95 5f ae |.....P.7._.| +00000000 14 03 01 00 01 01 16 03 01 00 30 88 10 86 5c 0f |..........0...\.| +00000010 95 da aa 48 cc 53 c7 ed 27 a3 98 22 a0 8c 00 fa |...H.S..'.."....| +00000020 8c 61 72 72 53 a4 e9 1f 48 21 db 94 1e 3d 49 4b |.arrS...H!...=IK| +00000030 b7 ae 5a 5f 20 08 64 6b 77 92 e1 |..Z_ .dkw..| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 12 f0 9d 8f f7 4c 1e 61 1a e8 b8 |.... .....L.a...| -00000010 ce 72 4f 11 db 67 d3 21 ef 69 75 00 a8 80 2b f4 |.rO..g.!.iu...+.| -00000020 62 ed 53 c4 f9 17 03 01 00 20 8d 63 32 64 89 5d |b.S...... .c2d.]| -00000030 49 7b ac a0 da 75 0b f0 bf d2 32 e5 8b 57 5b 48 |I{...u....2..W[H| -00000040 cc db eb f6 60 41 5c 1a f9 8a 15 03 01 00 20 c7 |....`A\....... .| -00000050 83 17 71 5d 54 6d cc 7a 82 c4 d7 0f 6e 52 c0 b2 |..q]Tm.z....nR..| -00000060 a2 28 78 33 7f d8 7c f3 ae db 20 8a dd 49 be |.(x3..|... ..I.| +00000000 17 03 01 00 20 52 2c e9 3e ea 16 54 c8 5d d5 6c |.... R,.>..T.].l| +00000010 34 73 96 b5 70 b0 b8 19 3d 54 39 c5 ea d8 91 b2 |4s..p...=T9.....| +00000020 b4 a6 06 2b b3 17 03 01 00 20 9f ac 14 90 89 fe |...+..... ......| +00000030 b3 58 83 a4 4d 4d 4f ca 57 e1 f0 ad a6 b4 24 1f |.X..MMO.W.....$.| +00000040 5d 51 52 86 a7 aa 5f 42 cf c7 15 03 01 00 20 69 |]QR..._B...... i| +00000050 ea fa dc fe 4e 3f d7 7b bd b1 aa e5 4a 3a d4 18 |....N?.{....J:..| +00000060 02 82 c9 77 6d 58 b6 98 17 4f c7 85 4e e8 9b |...wmX...O..N..| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES index 703e7ce94c8..60bd22853b7 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 33 76 9f 3e 86 |....Y...U..3v.>.| -00000010 56 81 47 42 b2 da e8 52 28 46 bb df f7 3d 59 2f |V.GB...R(F...=Y/| -00000020 90 24 17 4f 6c 9d 62 8a cc 9b a6 20 64 6e 6e ac |.$.Ol.b.... dnn.| -00000030 f9 59 a9 3f 4b e8 19 da 7f b2 85 9f 35 a5 ba 87 |.Y.?K.......5...| -00000040 5f 0a 21 e5 17 a5 56 1c ac e3 c3 80 c0 09 00 00 |_.!...V.........| +00000000 16 03 01 00 59 02 00 00 55 03 01 17 04 f1 24 8a |....Y...U.....$.| +00000010 27 77 65 60 02 db 3d 66 c1 9a 30 30 df e9 df cf |'we`..=f..00....| +00000020 60 f2 8e f9 34 24 21 95 0b bd 5d 20 cc f6 58 37 |`...4$!...] ..X7| +00000030 f1 2b 46 91 cc 35 e3 b0 96 b8 82 de 4f f6 3e 07 |.+F..5......O.>.| +00000040 5e 4e a7 da 41 bc ea f6 dc 4f 33 07 c0 09 00 00 |^N..A....O3.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,37 +56,37 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 01 00 b5 0c 00 00 b1 03 00 1d 20 f4 16 |*............ ..| -00000280 a1 18 25 83 e6 8d b3 84 c2 85 81 64 c8 86 e2 dc |..%........d....| -00000290 39 4a a5 28 71 3b 6f 45 e9 ef 4c 7c f7 22 00 8b |9J.(q;oE..L|."..| -000002a0 30 81 88 02 42 00 e2 7b 24 31 58 f1 28 bd c2 6b |0...B..{$1X.(..k| -000002b0 a0 3b 50 45 24 6d 63 b4 2e 69 31 34 65 5c a7 7b |.;PE$mc..i14e\.{| -000002c0 01 bf 64 17 71 1a 47 4f 96 2d 45 d3 2b c2 a2 7a |..d.q.GO.-E.+..z| -000002d0 a7 c4 62 24 0d 22 0b 8b 93 40 a5 59 a2 0d 1c 6a |..b$."...@.Y...j| -000002e0 2b 89 1c 0e 4d d8 04 02 42 01 36 a2 3b 29 6e 62 |+...M...B.6.;)nb| -000002f0 75 95 38 7f 41 ef de a8 19 34 d5 27 82 25 01 62 |u.8.A....4.'.%.b| -00000300 02 b7 8f a2 c6 57 6a 94 38 75 b0 c7 ce 17 68 23 |.....Wj.8u....h#| -00000310 9c d2 13 55 da f5 2f 9c 21 1d 37 fd 1f f9 97 c4 |...U../.!.7.....| -00000320 43 b3 a0 e7 22 00 3c bc 2f 16 ec 16 03 01 00 04 |C...".<./.......| -00000330 0e 00 00 00 |....| +00000270 2a 16 03 01 00 b4 0c 00 00 b0 03 00 1d 20 35 57 |*............ 5W| +00000280 ed c1 9b 2c 52 da 42 91 10 08 b5 06 ed 01 ec 5f |...,R.B........_| +00000290 7e 61 31 ed 7d bb 4d 17 52 74 86 51 43 10 00 8a |~a1.}.M.Rt.QC...| +000002a0 30 81 87 02 41 34 48 d9 6e 92 a1 c1 ce 18 30 7a |0...A4H.n.....0z| +000002b0 9b 8e a6 58 af 62 02 4a ab ec 2d 7c 58 fa 45 65 |...X.b.J..-|X.Ee| +000002c0 2c 68 31 ff c4 24 3c 77 e5 2e 8c 0f 76 b8 70 ea |,h1..$>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 8f e3 57 41 88 8e 67 e7 83 cb 24 |....0..WA..g...$| -00000040 17 0f 4e ad fd 53 ee b0 f1 91 45 08 5d a5 d2 d2 |..N..S....E.]...| -00000050 90 55 dd 96 79 c8 1c 10 3d 7f 0f 41 a4 6d 98 32 |.U..y...=..A.m.2| -00000060 cb 8b 0a ac e6 |.....| +00000030 16 03 01 00 30 f5 9d c6 88 c2 d2 15 06 ec 68 b6 |....0.........h.| +00000040 c6 67 81 cb 89 52 e5 38 c1 69 99 1e fc 22 93 40 |.g...R.8.i...".@| +00000050 1d 0b 84 ec 8f 0f 8d 57 35 6f 69 5c d5 99 56 46 |.......W5oi\..VF| +00000060 4a 33 2e c2 ca |J3...| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 33 7d de 71 ce |..........03}.q.| -00000010 b7 26 39 76 a9 68 80 32 dc 94 83 ac 81 f8 5d 41 |.&9v.h.2......]A| -00000020 d8 b5 e2 46 6b 96 6f a1 ac 6e 6f d0 c5 3b 7d 6a |...Fk.o..no..;}j| -00000030 7f 17 fa a3 3d 91 86 1b 19 ac b9 |....=......| +00000000 14 03 01 00 01 01 16 03 01 00 30 fa da 0d c2 5e |..........0....^| +00000010 a7 0d c6 f1 5b 24 5f 7b 7c d3 20 f4 71 8c 23 a8 |....[$_{|. .q.#.| +00000020 bc 3b d2 9a ea ce 03 55 c7 5a 74 31 4c f1 e7 79 |.;.....U.Zt1L..y| +00000030 ee 09 ae 50 39 2f dc ca d6 e7 f8 |...P9/.....| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 b3 be ad 57 dd 14 a2 98 b0 2f c4 |.... ...W...../.| -00000010 0d 64 5d 15 c6 80 a3 dc fa 02 52 07 dd aa 9a 09 |.d].......R.....| -00000020 19 97 12 47 10 17 03 01 00 20 5e 2e e4 b5 0c 4c |...G..... ^....L| -00000030 bb ef 65 8b c3 3a a3 cb 24 20 dd f7 12 9c 31 2a |..e..:..$ ....1*| -00000040 fb ab 1c 27 3c 00 1a 57 d9 c3 15 03 01 00 20 59 |...'<..W...... Y| -00000050 9d 93 e8 c8 58 6d 86 e8 42 c4 d7 f4 17 b5 1c fe |....Xm..B.......| -00000060 04 d1 55 ec 92 0f b5 0a 99 b7 5f 6a 7f 75 2f |..U......._j.u/| +00000000 17 03 01 00 20 d1 fd 45 6f 97 b8 a0 8c 21 f5 2d |.... ..Eo....!.-| +00000010 23 33 78 d1 d3 96 74 d7 e8 49 ea 63 0f ea ab 6b |#3x...t..I.c...k| +00000020 d6 85 52 5d e8 17 03 01 00 20 5e 47 90 4d 06 65 |..R]..... ^G.M.e| +00000030 49 c7 f8 54 bc f5 49 65 95 bb 0c e7 8d 20 e4 ac |I..T..Ie..... ..| +00000040 1d 68 b3 a3 a5 c1 b1 2f 21 df 15 03 01 00 20 24 |.h...../!..... $| +00000050 47 bb a9 0a ad dc 19 21 12 7a 49 3e 0b 2a 31 0a |G......!.zI>.*1.| +00000060 83 47 03 10 bd 88 87 4b 2e 55 f4 cf ea 84 e9 |.G.....K.U.....| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES index abe320b19b9..40f0a32b619 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv10-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 e1 3b 43 75 e2 |....Y...U...;Cu.| -00000010 2f 3a 5a c3 11 a0 4c 37 48 7d bc 71 a5 9b 84 10 |/:Z...L7H}.q....| -00000020 a7 95 71 de a3 45 95 64 ed c7 51 20 fc 53 56 ae |..q..E.d..Q .SV.| -00000030 c2 27 8d 21 a9 d7 3e 64 a9 ee db 63 60 fd 0a 9c |.'.!..>d...c`...| -00000040 67 f0 b8 73 3d 92 3e 3b 41 39 f3 e7 c0 13 00 00 |g..s=.>;A9......| +00000000 16 03 01 00 59 02 00 00 55 03 01 17 f2 52 86 71 |....Y...U....R.q| +00000010 a3 cf 0c 9f 5a c0 16 dd 12 ab e8 be 3a 01 38 fb |....Z.......:.8.| +00000020 40 ac 12 d2 45 c9 33 af e1 3e 06 20 c1 0b 00 a3 |@...E.3..>. ....| +00000030 00 ab 3c 37 eb b4 cf 26 2d 36 e3 fc 56 9d a4 26 |..<7...&-6..V..&| +00000040 3d 6a 98 ec a7 c9 ee 1b c3 d4 d6 07 c0 13 00 00 |=j..............| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 7a be a4 85 67 1c 66 |........ z...g.f| -000002d0 02 ea a5 fc fd 17 86 3a ba bf fe e6 ea 84 52 3e |.......:......R>| -000002e0 6b 15 2b 54 33 a9 50 c9 3b 00 80 89 fb 9b 37 e0 |k.+T3.P.;.....7.| -000002f0 b8 9c 83 9f 59 26 d1 bf 11 cc 1e 3a c1 3e 3a 3d |....Y&.....:.>:=| -00000300 b7 f4 d1 8b d2 d8 83 78 8b ba ec 11 f2 77 5e d1 |.......x.....w^.| -00000310 0d c1 76 b6 b1 05 51 95 1e be d1 70 9c f9 d5 16 |..v...Q....p....| -00000320 a9 cb 31 4d bf 50 51 c0 87 61 5a bd 5a 55 9a ad |..1M.PQ..aZ.ZU..| -00000330 0f ed fe 8a f3 5c 64 f7 d8 df af 1e 52 c8 b3 65 |.....\d.....R..e| -00000340 b5 1f da 66 1f de 5c 9c 4f aa 10 87 41 b6 ff c2 |...f..\.O...A...| -00000350 c7 f6 cc a1 75 43 a4 65 22 ed c9 6b 80 dd 7e 0b |....uC.e"..k..~.| -00000360 c2 09 94 d2 bd c3 12 58 59 c2 18 16 03 01 00 04 |.......XY.......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 40 71 36 40 15 13 ea |........ @q6@...| +000002d0 4b 61 35 2d de 19 e8 d5 d3 9d a7 e7 d5 91 b4 5e |Ka5-...........^| +000002e0 d7 83 42 90 a8 38 7b 51 55 00 80 aa 83 e2 86 4d |..B..8{QU......M| +000002f0 fc 83 0f b3 98 0a 62 9e ea 9a 0b 2a 77 16 1e 73 |......b....*w..s| +00000300 6c 3e 6c 81 6e ac a5 a6 0f f7 78 5a 9b c9 ba 88 |l>l.n.....xZ....| +00000310 8a 04 da 62 d8 04 1c c2 4c 52 31 a5 6f a9 79 e1 |...b....LR1.o.y.| +00000320 de 9c d8 d8 14 ff a5 ff a8 36 fc aa 29 79 e6 e6 |.........6..)y..| +00000330 9c dc d3 01 b9 d9 14 b9 6c f0 07 cb 99 6f dc 65 |........l....o.e| +00000340 99 32 83 35 1f e1 bf 12 f3 63 23 98 23 51 ea ad |.2.5.....c#.#Q..| +00000350 06 42 23 c1 0a 83 e0 2e ec 23 f4 e3 5b b7 62 0a |.B#......#..[.b.| +00000360 b3 81 52 a1 11 5a e1 29 ba 44 ba 16 03 01 00 04 |..R..Z.).D......| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 4d 7e 04 e0 12 23 a3 b8 9f 78 bc |....0M~...#...x.| -00000040 a0 ae a8 70 86 84 0d bf 17 ba 7f d7 46 2c 39 c7 |...p........F,9.| -00000050 39 02 22 0d 84 6a 3f dc d3 aa 88 a0 49 69 36 fa |9."..j?.....Ii6.| -00000060 4f 36 38 55 c0 |O68U.| +00000030 16 03 01 00 30 af f2 bb e4 8f 0b 87 24 4e 06 0d |....0.......$N..| +00000040 84 28 59 8e 7d 60 f3 e7 a7 de 01 69 5a 7b 43 df |.(Y.}`.....iZ{C.| +00000050 c8 e7 0c 43 3d a3 af 50 46 dd e5 79 70 09 6d 51 |...C=..PF..yp.mQ| +00000060 6b 0a bf b9 ca |k....| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 b7 8b 98 2c 7f |..........0...,.| -00000010 80 cc e2 44 0d 5f 96 ce 87 ee 6b af c6 16 f5 f2 |...D._....k.....| -00000020 e2 bc 82 ea 58 81 d3 a1 f8 40 ed 92 68 38 f8 b8 |....X....@..h8..| -00000030 45 63 6f f0 f3 2b 1e 38 73 98 e9 |Eco..+.8s..| +00000000 14 03 01 00 01 01 16 03 01 00 30 30 48 77 84 7b |..........00Hw.{| +00000010 ff e0 6d 1f 15 81 b7 90 f5 af c4 b6 c9 e3 1e c5 |..m.............| +00000020 61 16 e2 2e 6e 80 c4 65 87 29 de 4e 16 2d 2b 72 |a...n..e.).N.-+r| +00000030 50 ae 7d b0 cf 27 ea 52 e3 b6 9f |P.}..'.R...| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 82 01 3c 29 cf e7 b0 24 6b c6 01 |.... ..<)...$k..| -00000010 10 5f 76 62 b1 0c 7d c8 4c 6c 25 01 61 89 b7 c1 |._vb..}.Ll%.a...| -00000020 c3 2b 93 7e 0b 17 03 01 00 20 3f 9e 81 cc a9 4d |.+.~..... ?....M| -00000030 4b 9c 1d ca 48 0f 44 9c 84 59 57 43 66 ff 67 a2 |K...H.D..YWCf.g.| -00000040 f9 91 b0 ec f1 b9 68 7f 32 f9 15 03 01 00 20 ed |......h.2..... .| -00000050 5e 58 3b 5c 3e f4 d7 2a e9 9e 30 44 60 aa b0 da |^X;\>..*..0D`...| -00000060 3f 0d 8e 6f 3f 65 38 fe a7 e9 fc b4 21 7a c8 |?..o?e8.....!z.| +00000000 17 03 01 00 20 ef 7e 23 08 1e 20 c0 15 f1 5a b9 |.... .~#.. ...Z.| +00000010 1b 20 03 ec 67 0d a1 27 f0 46 e6 fa 09 64 68 fb |. ..g..'.F...dh.| +00000020 f6 56 d1 70 59 17 03 01 00 20 e8 ad 90 de a1 9f |.V.pY.... ......| +00000030 06 eb dc 29 22 48 73 71 d4 14 24 6b ca 2b 61 cf |...)"Hsq..$k.+a.| +00000040 9e e9 dc 6c 9d af 51 88 22 57 15 03 01 00 20 20 |...l..Q."W.... | +00000050 6a d1 aa a6 a3 dd 42 46 87 68 b0 f8 46 f6 11 fe |j.....BF.h..F...| +00000060 95 06 e0 e0 94 e2 ef 72 05 e8 9d 6d 03 c7 56 |.......r...m..V| diff --git a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial index 71044a201af..46ee12d1bfe 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv10-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 59 02 00 00 55 03 01 dc a9 f6 6a 83 |....Y...U.....j.| -00000010 7f 44 b0 d8 7b 88 59 8a 4e 60 7e 09 e4 e1 35 54 |.D..{.Y.N`~...5T| -00000020 0e b3 6c bc 39 5a 6b 74 a1 2c d2 20 7e cf 3a aa |..l.9Zkt.,. ~.:.| -00000030 ca 2c 76 07 b6 fd 08 69 63 bf de c5 9f 91 a6 d9 |.,v....ic.......| -00000040 c6 55 d4 4f bf c1 3f 64 89 64 c6 ef c0 13 00 00 |.U.O..?d.d......| +00000000 16 03 01 00 59 02 00 00 55 03 01 29 3d 29 97 31 |....Y...U..)=).1| +00000010 c5 fc e8 fe 4e af 6d 56 6b 22 fb 7f 1c 2d d6 ab |....N.mVk"...-..| +00000020 14 22 92 b7 9c 57 d1 56 47 15 89 20 9b 46 c6 14 |."...W.VG.. .F..| +00000030 4b de ec 2f 7b 8c 40 64 f4 9c 75 f4 62 52 62 52 |K../{.@d..u.bRbR| +00000040 93 54 04 ad ce b9 10 b2 cd f8 57 de c0 13 00 00 |.T........W.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 01 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 01 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 42 dd 37 d1 52 5c 4f |........ B.7.R\O| -000002d0 fc be ec dd bb bb ed 42 83 5f 61 c1 8b df 57 c6 |.......B._a...W.| -000002e0 67 f3 2c 6b 24 2b 69 af 1d 00 80 29 4d f5 69 cd |g.,k$+i....)M.i.| -000002f0 2a 7a e4 1d 1a 58 bb 6a 23 85 5f 27 ab a7 cd c5 |*z...X.j#._'....| -00000300 5d cd 6a 65 26 b4 5e cf 7a d2 c0 57 be 11 1c 7d |].je&.^.z..W...}| -00000310 c6 1a 9c 77 64 df 45 9d 69 82 71 ca 09 29 1f a0 |...wd.E.i.q..)..| -00000320 c8 2a 96 07 1b 39 1b ac e6 e2 90 c7 bf 63 80 a4 |.*...9.......c..| -00000330 04 68 0a 98 70 ac e7 0b fa 7a b1 d1 b9 c1 3b 1b |.h..p....z....;.| -00000340 04 b9 bd 5e 26 0e b8 96 08 c7 a7 50 d3 bc 94 f7 |...^&......P....| -00000350 ca e1 0a 59 96 93 aa e4 e2 07 48 7a 0e a9 e7 9f |...Y......Hz....| -00000360 9f fc 33 98 dc 8d ac ae 97 43 a3 16 03 01 00 04 |..3......C......| +000002c0 aa 0c 00 00 a6 03 00 1d 20 c0 b7 b5 96 32 29 b7 |........ ....2).| +000002d0 ba 4e 0c 79 02 bc 64 07 fc 6d 02 ee 0f a8 f8 d8 |.N.y..d..m......| +000002e0 c3 8f a4 85 2c 70 3a a9 4a 00 80 94 36 a8 0a 75 |....,p:.J...6..u| +000002f0 d8 4f 7a 2d ba a8 ad 6a a1 77 0b f9 37 de 4c 36 |.Oz-...j.w..7.L6| +00000300 d1 2f 22 a7 2e b4 0e 54 cb 0b ab 12 95 14 1b ef |./"....T........| +00000310 d9 db 00 95 85 bb e6 d8 69 0b c2 42 80 db b8 30 |........i..B...0| +00000320 a7 cd 71 1d bc 50 3f de c7 80 94 6c 62 4b a9 44 |..q..P?....lbK.D| +00000330 0a 92 a3 12 d2 3a 61 86 78 cb a6 65 a0 e3 91 fe |.....:a.x..e....| +00000340 92 7d d2 8e a0 36 20 b8 c2 89 f3 d5 0b 0b 49 25 |.}...6 .......I%| +00000350 0c 1c 43 1d 42 91 b9 8c 44 bc b8 f7 db ef 2f c6 |..C.B...D...../.| +00000360 c6 ed fc 28 6b ff c4 1b 55 c1 71 16 03 01 00 04 |...(k...U.q.....| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 01 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 01 00 01 01 |....._X.;t......| -00000030 16 03 01 00 30 f8 3d fa 89 64 04 0c 2e b0 d3 ed |....0.=..d......| -00000040 3e 70 15 4d be ed 6d 65 d8 7d 1e 61 b1 4f 33 3e |>p.M..me.}.a.O3>| -00000050 93 f6 4d 05 d4 ef 04 88 6d 80 f5 92 91 d1 5e 4c |..M.....m.....^L| -00000060 87 f6 ad a2 e8 |.....| +00000030 16 03 01 00 30 15 eb 7d a5 60 f4 c7 fb 49 74 82 |....0..}.`...It.| +00000040 30 5e c1 03 07 f2 7a 66 75 11 8a 4d 69 7a b4 5a |0^....zfu..Miz.Z| +00000050 fe 43 64 b4 d6 95 54 be 15 7e 35 52 f6 aa fe 91 |.Cd...T..~5R....| +00000060 7b ce 00 0e 5b |{...[| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 30 75 21 54 b7 dd |..........0u!T..| -00000010 cb 06 95 26 78 68 89 d8 e6 d6 1e ce 56 42 0a 06 |...&xh......VB..| -00000020 a0 28 7a fd e6 34 77 08 1f aa 50 44 d3 dd 55 a4 |.(z..4w...PD..U.| -00000030 97 0e 0a 8a 74 d2 26 b5 dc 0f b9 |....t.&....| +00000000 14 03 01 00 01 01 16 03 01 00 30 ad a1 da 3b 29 |..........0...;)| +00000010 dc c2 a8 8c 80 bd fd 95 b3 2c 83 2d 13 4f 16 a0 |.........,.-.O..| +00000020 4b c7 c8 71 29 fd 10 ca 77 b8 56 97 08 55 ed c9 |K..q)...w.V..U..| +00000030 e5 80 9d 70 19 8e 88 65 3a 92 2c |...p...e:.,| >>> Flow 5 (client to server) -00000000 17 03 01 00 20 b3 a8 a2 59 4a 27 64 3d 44 f9 2a |.... ...YJ'd=D.*| -00000010 49 20 34 92 1c 36 70 cf d4 8d 6a 3e aa 8d eb d0 |I 4..6p...j>....| -00000020 c1 57 e9 bb a4 17 03 01 00 20 c6 6d f9 73 3a de |.W....... .m.s:.| -00000030 cb cd 9f 22 b0 67 96 8a 24 6a 7c fd 5d ae cf b1 |...".g..$j|.]...| -00000040 fc a4 b6 09 23 1c 46 ea f0 5e 15 03 01 00 20 cd |....#.F..^.... .| -00000050 88 51 17 18 6d 1e 1b 55 30 25 6a 60 85 37 27 fc |.Q..m..U0%j`.7'.| -00000060 7b e2 6e bd 60 44 3f ca b0 24 05 e5 f8 fd 66 |{.n.`D?..$....f| +00000000 17 03 01 00 20 56 0a 77 9e d9 c6 8b 90 bb 4f 8e |.... V.w......O.| +00000010 fe 1a 89 a7 11 2f cf 73 ed 60 c2 bf 7c e0 8a 38 |...../.s.`..|..8| +00000020 5b 32 29 aa 41 17 03 01 00 20 18 a4 aa c8 d5 a7 |[2).A.... ......| +00000030 b7 c2 ff 6a 0d 6b 8f 05 6c 4c 46 08 4f 3e 5d 6c |...j.k..lLF.O>]l| +00000040 c5 ad b9 3e f3 17 2e f3 e4 75 15 03 01 00 20 45 |...>.....u.... E| +00000050 4c 0b 48 a2 dc 00 71 30 80 83 15 bf d4 24 80 93 |L.H...q0.....$..| +00000060 99 6f 75 9a 6b 5e 1e 14 22 02 57 da 68 97 f6 |.ou.k^..".W.h..| diff --git a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 index 783c8716c98..567c8cb80bf 100644 --- a/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv10-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 01 00 51 02 00 00 4d 03 01 42 5f d8 ca e2 |....Q...M..B_...| -00000010 69 03 c9 b6 88 70 7e f4 2e f1 33 01 29 b0 ca 3b |i....p~...3.)..;| -00000020 f2 2a e4 c4 e2 72 2c 13 45 4b 04 20 9e b1 a5 89 |.*...r,.EK. ....| -00000030 8f 4c ee 82 b5 4c 35 61 1f 69 68 fe 74 b6 35 1f |.L...L5a.ih.t.5.| -00000040 15 91 48 d0 06 d0 ac 63 50 d8 90 69 00 05 00 00 |..H....cP..i....| +00000000 16 03 01 00 51 02 00 00 4d 03 01 a7 f4 fa b1 c3 |....Q...M.......| +00000010 56 41 ee 50 d8 06 78 e3 51 7f 91 b1 67 6c 75 eb |VA.P..x.Q...glu.| +00000020 66 8c 79 42 96 3a a8 17 e9 fa 2c 20 11 0f 59 3c |f.yB.:...., ..Y<| +00000030 b5 76 31 d1 d6 86 2f 49 a6 c0 61 68 9f 2a a5 31 |.v1.../I..ah.*.1| +00000040 8a 88 f6 87 a5 2f 8c 5e 58 69 4c ca 00 05 00 00 |...../.^XiL.....| 00000050 05 ff 01 00 01 00 16 03 01 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 01 00 01 |.Y(.....ia5.....| -00000090 01 16 03 01 00 24 ff 50 1a d9 cc 20 62 b2 91 c9 |.....$.P... b...| -000000a0 bf f1 df 56 bf cd 4a 97 8b c3 22 0b 76 19 75 a8 |...V..J...".v.u.| -000000b0 ba 38 89 21 62 a1 13 80 19 9f |.8.!b.....| +00000090 01 16 03 01 00 24 81 95 12 51 f1 9f b1 e9 e6 6c |.....$...Q.....l| +000000a0 f3 99 46 e8 06 da 32 95 41 a5 c8 16 ab 4d 1c 14 |..F...2.A....M..| +000000b0 c0 cd 85 4d b8 2d 32 f3 f6 c5 |...M.-2...| >>> Flow 4 (server to client) -00000000 14 03 01 00 01 01 16 03 01 00 24 b5 ca 66 13 27 |..........$..f.'| -00000010 5f d8 c7 4b 63 b3 52 f6 20 42 04 a9 80 d8 0a eb |_..Kc.R. B......| -00000020 f5 e5 d5 80 4b 4a 93 04 80 c9 9b 91 c5 95 55 |....KJ........U| +00000000 14 03 01 00 01 01 16 03 01 00 24 a1 9e 5d a3 28 |..........$..].(| +00000010 89 5c f9 9d 4d 92 e3 2d f5 47 4c 10 7b b7 16 99 |.\..M..-.GL.{...| +00000020 ab cb ca ba 16 ae c6 0a d7 a0 6d e6 ef 61 02 |..........m..a.| >>> Flow 5 (client to server) -00000000 17 03 01 00 1a 29 82 b0 94 2b ac ea 10 c4 ac fb |.....)...+......| -00000010 b3 fb b1 ba 70 a8 3f 3c df 15 dd d1 3c a2 35 15 |....p.?<....<.5.| -00000020 03 01 00 16 c9 a4 ea 9f 82 5b a1 c0 ed 0d bf 76 |.........[.....v| -00000030 05 3b 2c 4f 60 77 08 63 ae 75 |.;,O`w.c.u| +00000000 17 03 01 00 1a a4 17 5d 86 5f 12 6d 11 9b 1f 24 |.......]._.m...$| +00000010 7c bf 02 10 6b 15 c7 de b7 2c e3 c8 50 78 d3 15 ||...k....,..Px..| +00000020 03 01 00 16 78 23 fb 7b 9a 20 d2 97 4a 66 f0 b0 |....x#.{. ..Jf..| +00000030 8b 1a 30 c1 80 95 c4 01 df fb |..0.......| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES index 2658a7bd0c6..daf8751fe4a 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 99 a9 bd 21 7e |....Y...U.....!~| -00000010 4d 98 28 ec bb 93 56 fc 99 5a 6e d7 a3 e4 c0 f5 |M.(...V..Zn.....| -00000020 bc 86 b5 58 36 d5 10 ba b0 ef 30 20 e9 75 c8 76 |...X6.....0 .u.v| -00000030 1a 67 46 63 68 d1 b7 77 cd 0d dd df 22 eb 0d c3 |.gFch..w...."...| -00000040 b8 2d e9 e3 70 b4 45 75 e5 23 a5 64 c0 09 00 00 |.-..p.Eu.#.d....| +00000000 16 03 02 00 59 02 00 00 55 03 02 77 d6 3f 36 77 |....Y...U..w.?6w| +00000010 f5 77 b8 09 20 83 9d a7 fa 72 54 2e e7 06 df 30 |.w.. ....rT....0| +00000020 91 f4 2c 17 e8 31 bd b3 c0 30 28 20 fd 71 e6 61 |..,..1...0( .q.a| +00000030 38 0e f0 8b 6f d4 8e 9f e0 ce 34 4d 49 39 aa af |8...o.....4MI9..| +00000040 24 bd 5d 8d ab a1 dc d2 da b2 cc b1 c0 09 00 00 |$.].............| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 02 00 b4 0c 00 00 b0 03 00 1d 20 e2 c1 |*............ ..| -00000280 44 d6 04 33 a3 87 2f 75 82 ee 0e 9d 66 a1 69 00 |D..3../u....f.i.| -00000290 97 a8 56 9a 56 53 37 ac 8b 0d c6 6b 91 01 00 8a |..V.VS7....k....| -000002a0 30 81 87 02 42 01 76 a6 f7 c4 e3 d6 4b 0e a6 dc |0...B.v.....K...| -000002b0 1d c0 0d 1d bb 96 d2 de 94 b5 11 bf 5c ff 3e 3f |............\.>?| -000002c0 78 12 86 3a f8 2a ce a7 63 3c eb 2a b4 3b e7 2d |x..:.*..c<.*.;.-| -000002d0 ae b7 22 91 99 c0 4f 6c 2f 5a 7e 8b e6 04 14 82 |.."...Ol/Z~.....| -000002e0 e2 9b d9 7f 0f 72 3b 02 41 29 36 09 e2 8f a4 f4 |.....r;.A)6.....| -000002f0 9a 63 f8 81 5f e5 6e 66 bc e5 99 8c e3 33 c4 70 |.c.._.nf.....3.p| -00000300 c6 aa 36 7f bc 8a 56 eb 77 ad d1 75 ce 3e 9d 80 |..6...V.w..u.>..| -00000310 d5 f0 d2 99 ea 34 36 f0 fc 00 90 20 72 a4 08 bd |.....46.... r...| -00000320 85 d8 d2 70 22 31 50 e4 76 14 16 03 02 00 04 0e |...p"1P.v.......| +00000270 2a 16 03 02 00 b4 0c 00 00 b0 03 00 1d 20 97 d9 |*............ ..| +00000280 56 76 3f 33 c5 d1 3b 84 a3 4b 2f d0 17 5e 8d ea |Vv?3..;..K/..^..| +00000290 bd b0 4f ec a1 e5 a9 55 4a 54 6a fd 07 1f 00 8a |..O....UJTj.....| +000002a0 30 81 87 02 42 01 37 34 a5 a1 76 63 e6 32 53 cc |0...B.74..vc.2S.| +000002b0 d3 be 40 c1 63 22 6e ff 45 51 a0 12 e5 8d 33 33 |..@.c"n.EQ....33| +000002c0 f6 d7 5d d5 88 2d e2 97 9a 23 ef 40 20 b1 ef 95 |..]..-...#.@ ...| +000002d0 75 d3 8d c8 8d f4 70 a0 9a 08 21 74 fa 37 11 da |u.....p...!t.7..| +000002e0 87 95 db 5e 50 72 ca 02 41 3d 6d 92 da 72 b6 c0 |...^Pr..A=m..r..| +000002f0 92 58 66 62 1f fc fa fc 0e 69 89 b5 d2 3a a1 43 |.Xfb.....i...:.C| +00000300 0d d5 0d 84 47 18 a9 7a 41 a0 96 6a f0 92 d5 18 |....G..zA..j....| +00000310 43 61 a1 fb 37 ec dc 17 64 19 90 d2 40 81 60 04 |Ca..7...d...@.`.| +00000320 69 84 87 de 5b 28 97 e7 3c f8 16 03 02 00 04 0e |i...[(..<.......| 00000330 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 e1 fd 16 d2 f8 55 f7 2d 66 44 da |..........U.-fD.| -00000050 c0 9d 53 be 24 ac 54 d6 45 9e 59 f5 eb 75 a2 7b |..S.$.T.E.Y..u.{| -00000060 f3 61 d5 d5 2b b6 45 9e f2 42 73 4f 44 ac 37 8d |.a..+.E..BsOD.7.| -00000070 9b 73 2f 10 1a |.s/..| +00000040 00 00 00 00 00 22 bd 55 82 cc eb ee b1 27 b5 ed |.....".U.....'..| +00000050 9c 8b 4c ff 29 9f 96 b4 74 87 17 32 88 1a 79 10 |..L.)...t..2..y.| +00000060 15 76 99 69 14 59 f8 12 fa df cc b7 77 f2 9c 77 |.v.i.Y......w..w| +00000070 b5 6d 76 21 a2 |.mv!.| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 dd b8 d2 2b ef |..........@...+.| -00000010 87 05 12 c2 d7 ac c7 3a b7 b7 40 86 f1 0a 28 40 |.......:..@...(@| -00000020 66 3f 41 eb b1 a6 23 49 31 a1 c5 ab 54 e6 52 34 |f?A...#I1...T.R4| -00000030 b7 6f 05 aa c3 e5 83 51 b2 2b 2f d3 28 83 93 9e |.o.....Q.+/.(...| -00000040 d1 87 18 18 9a 4e f7 1a 8a 21 1f |.....N...!.| +00000000 14 03 02 00 01 01 16 03 02 00 40 c9 22 47 ac 83 |..........@."G..| +00000010 63 94 57 75 e5 b1 de 1a 74 81 f1 97 47 39 fc e1 |c.Wu....t...G9..| +00000020 9a 2a 15 2e 6f b3 d3 8a d1 66 6d f1 32 12 b4 a6 |.*..o....fm.2...| +00000030 73 ee c7 c1 85 b4 3b c4 28 b9 1b 58 09 6d 0b 1d |s.....;.(..X.m..| +00000040 c3 01 a2 6f 3a b6 c1 cc c1 80 ba |...o:......| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 8d 19 53 b5 39 6b c0 90 90 2b 15 |.......S.9k...+.| -00000020 0c a6 64 64 b0 86 b2 c9 17 d0 98 58 7f 16 74 47 |..dd.......X..tG| -00000030 aa 35 38 c1 e4 15 03 02 00 30 00 00 00 00 00 00 |.58......0......| -00000040 00 00 00 00 00 00 00 00 00 00 79 3e f5 da 6a 13 |..........y>..j.| -00000050 c5 81 b0 2e 34 ff 97 5c cc 98 b3 a9 46 41 69 67 |....4..\....FAig| -00000060 06 fd 57 ed e1 7b 65 a4 94 c9 |..W..{e...| +00000010 00 00 00 00 00 3c 0a 48 88 c2 b3 41 fd e7 c3 57 |.....<.H...A...W| +00000020 b3 21 e0 80 ee 87 5c f0 de 12 fd 57 22 2d b6 78 |.!....\....W"-.x| +00000030 c0 c3 b0 0f 9e 15 03 02 00 30 00 00 00 00 00 00 |.........0......| +00000040 00 00 00 00 00 00 00 00 00 00 c8 bb 12 d1 8b ed |................| +00000050 df 02 4b 65 ab 98 ec 48 c3 25 06 e3 2c c4 0c 60 |..Ke...H.%..,..`| +00000060 7a 5d 96 c0 11 63 a9 d5 36 77 |z]...c..6w| diff --git a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES index 9a7ed917a6f..91890a99f7a 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv11-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 02 00 59 02 00 00 55 03 02 5a 51 f7 e9 a6 |....Y...U..ZQ...| -00000010 91 89 84 d0 73 9a 0e e3 f6 85 12 24 ab af 70 66 |....s......$..pf| -00000020 61 4c 2f 76 f9 03 84 33 fd a6 e4 20 86 a8 51 d8 |aL/v...3... ..Q.| -00000030 05 7f 4f e0 bb d1 87 87 54 e2 74 95 7d e0 dd cb |..O.....T.t.}...| -00000040 b1 9c 28 25 c7 e9 fa de fa f0 54 3f c0 13 00 00 |..(%......T?....| +00000000 16 03 02 00 59 02 00 00 55 03 02 c7 27 0a b6 97 |....Y...U...'...| +00000010 a8 92 c9 66 6b 74 51 8b aa 8d 6d f6 af e3 e0 d9 |...fktQ...m.....| +00000020 c6 a4 7a b6 02 af 10 80 60 07 22 20 b8 56 69 47 |..z.....`." .ViG| +00000030 36 42 b0 7f e1 d2 ca 03 cb 01 05 01 dc 3b 5c 0e |6B...........;\.| +00000040 8f df e7 b3 e1 d6 3e fc 19 c3 8f 02 c0 13 00 00 |......>.........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 02 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 02 00 |.=.`.\!.;.......| -000002c0 aa 0c 00 00 a6 03 00 1d 20 2a 0a e8 21 a2 cc f2 |........ *..!...| -000002d0 8c e6 52 c4 af 5b 84 62 be 03 df d0 b9 07 82 0a |..R..[.b........| -000002e0 08 72 b1 19 e3 c5 0b b8 7a 00 80 39 9c a4 13 54 |.r......z..9...T| -000002f0 07 44 4b 89 78 e4 fd 39 18 d1 a2 f7 cb 1b 07 9c |.DK.x..9........| -00000300 4e b2 70 09 9e 24 8c b0 b8 13 fb 5c 4f 43 0a 13 |N.p..$.....\OC..| -00000310 e7 69 df 50 70 94 47 fc 72 ba 44 26 4d ae 11 70 |.i.Pp.G.r.D&M..p| -00000320 90 91 37 ba 0b 9c 1f e0 c8 d8 20 5b ab 0f b2 3b |..7....... [...;| -00000330 79 9f 63 d0 14 04 f9 98 69 71 e3 6b ac fa 1a bb |y.c.....iq.k....| -00000340 86 40 4b 75 fd a3 87 7d 00 61 c2 25 2a 47 d2 eb |.@Ku...}.a.%*G..| -00000350 41 a7 9f 32 3e 75 bc c7 7e 1b b2 93 25 f8 52 e6 |A..2>u..~...%.R.| -00000360 c9 09 95 72 73 81 fa 22 f2 3d 51 16 03 02 00 04 |...rs..".=Q.....| +000002c0 aa 0c 00 00 a6 03 00 1d 20 24 ce ed 44 cd 10 38 |........ $..D..8| +000002d0 f2 27 1c c9 55 a0 20 e1 09 dd 8a 0b 73 42 1f 54 |.'..U. .....sB.T| +000002e0 3e 49 97 99 e9 da fe b3 11 00 80 8b 43 4d 5e 90 |>I..........CM^.| +000002f0 c2 f0 6a 0a 8f f9 c1 8c 41 cc 9e 53 8e 9e 3e 38 |..j.....A..S..>8| +00000300 54 74 65 d6 14 c1 10 e8 0e b5 26 22 2f 8e 8a e4 |Tte.......&"/...| +00000310 b3 ea 37 aa 86 7f a7 7a 95 91 98 f3 a0 90 87 19 |..7....z........| +00000320 c0 9e c5 ed 84 a7 78 8c d3 b1 84 5e 68 6f bc ac |......x....^ho..| +00000330 84 7c 12 ec e6 d8 17 56 e4 60 ab 05 6b e5 6d f7 |.|.....V.`..k.m.| +00000340 ec cc ac a6 ab 78 fc 2e 46 4f e7 1a 84 8b 4f d7 |.....x..FO....O.| +00000350 b0 83 d7 9d fc e6 a9 b8 cf 17 ca 4f a2 70 90 cf |...........O.p..| +00000360 26 a7 60 35 69 2f 39 fb 6b a9 e3 16 03 02 00 04 |&.`5i/9.k.......| 00000370 0e 00 00 00 |....| >>> Flow 3 (client to server) 00000000 16 03 02 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 02 00 01 01 |....._X.;t......| 00000030 16 03 02 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 6a 8d d0 57 ad 57 5c 67 58 e0 c9 |.....j..W.W\gX..| -00000050 00 5f f9 67 fe b1 86 b4 c2 42 43 ff a3 a2 81 c0 |._.g.....BC.....| -00000060 87 49 8f 65 cb 05 63 28 68 76 b6 c5 1d 09 3f f6 |.I.e..c(hv....?.| -00000070 3f 95 d3 1c 6a |?...j| +00000040 00 00 00 00 00 62 8b 44 45 f6 55 4e 13 ea 56 5d |.....b.DE.UN..V]| +00000050 5a 43 35 df e4 4f ca 76 94 b5 61 f7 86 55 c9 8f |ZC5..O.v..a..U..| +00000060 32 c8 85 5c c9 c6 56 c6 df c5 36 de 9f f2 e3 b4 |2..\..V...6.....| +00000070 32 42 44 37 af |2BD7.| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 40 07 a0 3a a9 bf |..........@..:..| -00000010 c5 d0 b6 72 5e f7 ac 37 9d b6 59 ea c2 9a 11 7c |...r^..7..Y....|| -00000020 d8 50 f2 b0 15 6e 7b d8 d9 ea d8 bd c3 7a ab 08 |.P...n{......z..| -00000030 37 65 3a 4c c1 19 7c 12 f5 ad 32 b3 52 1b c0 bb |7e:L..|...2.R...| -00000040 07 61 f0 7d a7 7e 07 55 c3 cc b6 |.a.}.~.U...| +00000000 14 03 02 00 01 01 16 03 02 00 40 57 5b bd 27 e5 |..........@W[.'.| +00000010 b1 8a 99 9d e1 3d 54 e7 ce cb e3 d4 1c 26 3e ff |.....=T......&>.| +00000020 ba 22 ca 85 3a 6b 1d 0a 87 9a 92 ff 77 f4 69 88 |."..:k......w.i.| +00000030 96 3e 9d 0b a5 11 70 66 d3 7c 74 c0 61 78 9b 3a |.>....pf.|t.ax.:| +00000040 7f 3c 5b ee 11 08 51 a5 05 f4 e4 |.<[...Q....| >>> Flow 5 (client to server) 00000000 17 03 02 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 8b 81 ab 0d f8 3a cd 08 f7 c3 05 |..........:.....| -00000020 70 09 0b f2 e7 30 13 5d c1 be 18 d2 e9 95 eb 6b |p....0.].......k| -00000030 8a ae b7 0a 5c 15 03 02 00 30 00 00 00 00 00 00 |....\....0......| -00000040 00 00 00 00 00 00 00 00 00 00 4c e0 ae 5d 90 e3 |..........L..]..| -00000050 45 aa 90 25 38 6b a7 a9 32 27 eb 04 d0 bc a0 ef |E..%8k..2'......| -00000060 ed f9 19 9e 48 b9 51 c9 dc 1c |....H.Q...| +00000010 00 00 00 00 00 9f 57 79 18 e7 e5 82 a3 75 7f 54 |......Wy.....u.T| +00000020 71 19 05 d6 ce 39 00 f6 6b 61 0c 10 83 ea db 2b |q....9..ka.....+| +00000030 da 0b 04 54 30 15 03 02 00 30 00 00 00 00 00 00 |...T0....0......| +00000040 00 00 00 00 00 00 00 00 00 00 e9 44 fe 1d 86 26 |...........D...&| +00000050 bd 39 23 e6 ae 23 dc 8f 15 03 1e e0 cb 03 ed 25 |.9#..#.........%| +00000060 e1 20 f5 c4 97 2d 97 09 85 92 |. ...-....| diff --git a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 index 3eb2611e260..3800507c7e1 100644 --- a/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv11-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 02 00 51 02 00 00 4d 03 02 bb e6 5e 57 fe |....Q...M....^W.| -00000010 00 8c 44 db 22 5b de 0e ff 2a fc 0e eb df 3d 16 |..D."[...*....=.| -00000020 38 71 86 2f dd 27 aa 4a c0 11 ad 20 8d ff 20 5c |8q./.'.J... .. \| -00000030 70 27 a8 c6 d4 08 51 ca 42 0e 76 2e 29 6d 7c 0d |p'....Q.B.v.)m|.| -00000040 e6 ab e6 9c 73 b0 a3 b5 74 8a 02 eb 00 05 00 00 |....s...t.......| +00000000 16 03 02 00 51 02 00 00 4d 03 02 e7 2b 18 8e de |....Q...M...+...| +00000010 7e 22 f4 88 eb 89 05 74 40 7f a8 bb f0 77 46 61 |~".....t@....wFa| +00000020 d8 33 16 24 61 5c 2a e8 7a a2 cf 20 df f8 b0 60 |.3.$a\*.z.. ...`| +00000030 ec 21 2c 66 8a 2b 48 7d 82 5a ac 48 27 55 80 e3 |.!,f.+H}.Z.H'U..| +00000040 7c 11 33 53 8b 15 a3 78 e8 70 8b c0 00 05 00 00 ||.3S...x.p......| 00000050 05 ff 01 00 01 00 16 03 02 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 02 00 01 |.Y(.....ia5.....| -00000090 01 16 03 02 00 24 7f 99 25 95 e1 2b 15 b7 fb e3 |.....$..%..+....| -000000a0 0f ca 82 fa 7e 8d 73 42 76 a5 29 ca ad d6 68 93 |....~.sBv.)...h.| -000000b0 eb e1 5a 03 1e 6c c0 0d c4 98 |..Z..l....| +00000090 01 16 03 02 00 24 77 f4 62 23 62 e6 e2 6b fc 9b |.....$w.b#b..k..| +000000a0 c2 29 77 67 bb ac 78 cd 20 90 17 b7 9a f1 2d c4 |.)wg..x. .....-.| +000000b0 5e db 21 8f 71 0a 11 6e 48 64 |^.!.q..nHd| >>> Flow 4 (server to client) -00000000 14 03 02 00 01 01 16 03 02 00 24 03 be 1b ca f3 |..........$.....| -00000010 a7 05 08 0b 1f 97 ba 69 2e 6f 79 46 1b 42 74 87 |.......i.oyF.Bt.| -00000020 17 0f 28 3b 24 2f 27 7f d6 38 c1 ee 84 df f6 |..(;$/'..8.....| +00000000 14 03 02 00 01 01 16 03 02 00 24 ec 8e b9 25 f2 |..........$...%.| +00000010 8c 0c 1d 81 68 50 35 51 69 4a 42 57 8c 01 80 31 |....hP5QiJBW...1| +00000020 85 6e 7e 98 fc b8 e0 44 e9 11 44 6c a7 94 68 |.n~....D..Dl..h| >>> Flow 5 (client to server) -00000000 17 03 02 00 1a b6 6c d8 5b 72 0b b9 85 03 57 4a |......l.[r....WJ| -00000010 24 67 ea 29 eb c5 d0 15 d0 15 61 d1 7a 72 21 15 |$g.)......a.zr!.| -00000020 03 02 00 16 de 42 49 3c 6d 5d 08 e2 09 3f 3e 78 |.....BIx| -00000030 e8 e8 22 c8 2c 34 20 bf 41 b2 |..".,4 .A.| +00000000 17 03 02 00 1a 93 4b 7b 22 03 68 d4 ae 49 ab 81 |......K{".h..I..| +00000010 98 f8 2d f0 3b aa c8 2d 98 6e b9 4a f5 97 0b 15 |..-.;..-.n.J....| +00000020 03 02 00 16 db 25 8b 2b 6b fa 67 30 3e f9 93 3f |.....%.+k.g0>..?| +00000030 50 37 89 ff 4c c3 29 71 bc ba |P7..L.)q..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 index a27042bcfee..7b22b146d08 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES128-GCM-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 75 db e0 3c c5 |....Q...M..u..<.| -00000010 e9 69 9d ef fa 68 cf a8 bc 77 dd b3 32 f0 d4 a3 |.i...h...w..2...| -00000020 03 78 df 2b 76 66 9f 47 5d b6 5a 20 1f e3 05 06 |.x.+vf.G].Z ....| -00000030 15 5a 16 c4 e7 ea 2d 10 82 d4 b0 ba f4 47 80 63 |.Z....-......G.c| -00000040 c5 09 38 20 56 42 45 14 d6 ef 25 b7 00 9c 00 00 |..8 VBE...%.....| +00000000 16 03 03 00 51 02 00 00 4d 03 03 ae d0 31 95 45 |....Q...M....1.E| +00000010 6c f4 35 a9 da bb 77 6b 67 fb d9 67 1d 25 85 16 |l.5...wkg..g.%..| +00000020 be ed c5 e6 e5 ee 03 a8 7a 50 ed 20 48 6a 6b 45 |........zP. HjkE| +00000030 bf 52 09 aa 65 0e fd 89 df 46 88 21 a2 e9 e0 dc |.R..e....F.!....| +00000040 0a 2b 1d 10 e0 95 a2 11 cf 10 f2 0c 00 9c 00 00 |.+..............| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 ac df |.....(..........| -000000a0 30 ee e4 a3 44 02 a6 70 1c 93 d3 30 18 1a 2b 89 |0...D..p...0..+.| -000000b0 4b 96 49 31 bd b0 29 8c 4c 95 64 cf 69 85 |K.I1..).L.d.i.| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 d0 4c |.....(.........L| +000000a0 55 b1 06 02 5d 29 6e 16 5e 00 85 d7 06 4d f6 8b |U...])n.^....M..| +000000b0 af c5 95 44 8f c6 8e 06 d4 40 1a 2d c9 a6 |...D.....@.-..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 d3 3b 44 b3 42 |..........(.;D.B| -00000010 a5 4b 79 96 92 aa 8e 9d 3e 6f f1 94 60 17 1a 30 |.Ky.....>o..`..0| -00000020 e1 e4 ba 0c 77 c8 f7 16 85 e4 c0 52 50 95 cf 25 |....w......RP..%| -00000030 d0 c0 cb |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 5c 79 2c 38 4f |..........(\y,8O| +00000010 4b c9 54 5c 9b fc 4a 07 6c 2b 2f 8a 4c 08 9d df |K.T\..J.l+/.L...| +00000020 00 74 ba 05 83 af f3 42 49 3f 80 f6 9e be 52 db |.t.....BI?....R.| +00000030 e8 00 cb |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 47 a3 ef |.............G..| -00000010 ac ea 09 a0 17 33 f0 6c e7 fe 84 3c e5 ca 27 63 |.....3.l...<..'c| -00000020 f2 61 c9 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.a..............| -00000030 b8 67 ce 7a 6b 87 be cd 8e 99 84 8e f4 c0 c3 85 |.g.zk...........| -00000040 45 18 |E.| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 c0 8a 95 |................| +00000010 76 88 19 b9 43 d3 b2 92 63 bb 6d 66 85 ac b0 1f |v...C...c.mf....| +00000020 98 ec 6b 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..k.............| +00000030 37 63 81 d9 8a 57 0c 11 9c fe 47 c9 9b 9d 07 2a |7c...W....G....*| +00000040 30 3b |0;| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 index a7e7682e2a9..06404ba62c1 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 9a 55 15 cd e2 |....Q...M...U...| -00000010 e9 e3 b8 b6 10 55 c1 9c ac 38 48 3d 38 3a 07 88 |.....U...8H=8:..| -00000020 94 68 9d 87 e2 4d 0f f6 ac 63 22 20 e5 24 50 cc |.h...M...c" .$P.| -00000030 1d d0 5b d9 51 fc 9c c0 a7 59 c0 2b b5 b7 26 25 |..[.Q....Y.+..&%| -00000040 80 32 27 cb 5b 61 f9 2f a3 62 21 ed 00 3c 00 00 |.2'.[a./.b!..<..| +00000000 16 03 03 00 51 02 00 00 4d 03 03 e4 96 d5 7c eb |....Q...M.....|.| +00000010 86 62 12 b6 4f da a0 d6 6c a6 65 56 41 42 78 c6 |.b..O...l.eVABx.| +00000020 7c 32 5b eb 08 8d 5f d2 95 94 14 20 85 ca 35 d3 ||2[..._.... ..5.| +00000030 6a b2 f9 29 eb 26 d6 40 2a 92 98 49 d7 17 5d 97 |j..).&.@*..I..].| +00000040 cc e8 05 89 1b 4e 50 06 b5 6c 32 bb 00 3c 00 00 |.....NP..l2..<..| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -72,25 +72,25 @@ 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| 00000090 01 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 |.....P..........| -000000a0 00 00 00 00 00 00 58 0a 99 e2 e6 c6 11 15 7c ea |......X.......|.| -000000b0 ca cc 41 04 bf ca b1 95 f4 54 81 0c d2 db 32 16 |..A......T....2.| -000000c0 15 0a 3c c6 8b 13 17 3e ec 81 5c 27 d7 e9 31 9f |..<....>..\'..1.| -000000d0 3d 19 99 7a 2e 60 54 d2 33 99 cd cf f2 5c f7 33 |=..z.`T.3....\.3| -000000e0 db dc 0b 6e e7 f4 |...n..| +000000a0 00 00 00 00 00 00 dd 45 b3 fd 7a 03 ef 42 de e8 |.......E..z..B..| +000000b0 6d 39 37 fa a4 9c 0f df c8 3f b2 02 73 c9 28 02 |m97......?..s.(.| +000000c0 f6 6d e6 56 b7 ac 78 1f 39 bb 04 c2 c9 f8 46 d7 |.m.V..x.9.....F.| +000000d0 ca 26 09 8e 30 21 76 9a 28 da 0f e3 ec bd 30 f5 |.&..0!v.(.....0.| +000000e0 ed 7b 33 52 01 49 |.{3R.I| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 96 8b 15 f7 6f |..........P....o| -00000010 98 1e f9 fd bb b2 91 6a 4c 5f 19 51 8f d0 c1 c3 |.......jL_.Q....| -00000020 e3 2e 37 5d 06 25 65 82 0d 61 a0 e1 b3 b4 f6 82 |..7].%e..a......| -00000030 3a e8 33 a3 81 bc ef a6 0c a8 1c 97 dd b7 6b 28 |:.3...........k(| -00000040 0e b5 2a 1f 90 e6 58 5f 40 dd 8d 08 07 d8 83 ad |..*...X_@.......| -00000050 45 e7 10 81 57 e4 51 5c 52 c2 2d |E...W.Q\R.-| +00000000 14 03 03 00 01 01 16 03 03 00 50 fa e4 85 82 d1 |..........P.....| +00000010 45 48 15 51 bd 34 66 82 09 7f 9a 8f eb 6f b4 d7 |EH.Q.4f......o..| +00000020 e5 1e 6d 68 cf 6f 77 58 30 f8 13 7a fd 69 cb 3b |..mh.owX0..z.i.;| +00000030 70 47 8d 61 77 cc 32 41 e1 10 c5 c5 cb 4d 30 89 |pG.aw.2A.....M0.| +00000040 23 68 56 01 09 32 cd 10 05 9a 4a a8 29 f6 11 8e |#hV..2....J.)...| +00000050 82 dd 64 be f9 5d fe f8 b3 25 23 |..d..]...%#| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 a8 20 05 d6 1b 43 9d bf 24 f0 f8 |...... ...C..$..| -00000020 7d 1c e2 4f f3 04 bd ce 32 fd 62 e4 ac 89 eb ef |}..O....2.b.....| -00000030 e6 31 1b f7 30 15 30 5f 63 6d bb cf e5 b5 0f 1f |.1..0.0_cm......| -00000040 24 7b 2f 2b 65 15 03 03 00 40 00 00 00 00 00 00 |${/+e....@......| -00000050 00 00 00 00 00 00 00 00 00 00 da ce dc 65 01 6e |.............e.n| -00000060 d5 a7 51 a7 78 27 77 c1 95 99 89 c6 22 0b 47 d6 |..Q.x'w.....".G.| -00000070 c1 b8 88 f5 3b 1f 63 3f e8 1f bf 25 cc 31 c7 26 |....;.c?...%.1.&| -00000080 b4 40 29 36 8d d1 78 e4 6f 18 |.@)6..x.o.| +00000010 00 00 00 00 00 24 d5 22 c0 a5 1d b8 15 f7 ac 09 |.....$."........| +00000020 ae b6 0e ee 3f 41 8a aa bf 61 44 f8 ff 69 20 6b |....?A...aD..i k| +00000030 36 1d e1 78 40 64 5f d9 8f d0 ca f6 b2 86 8d 08 |6..x@d_.........| +00000040 25 c4 b9 82 28 15 03 03 00 40 00 00 00 00 00 00 |%...(....@......| +00000050 00 00 00 00 00 00 00 00 00 00 c9 17 55 c4 42 da |............U.B.| +00000060 fa 0b 13 c6 05 cf 07 e5 64 63 c1 41 47 b1 b7 03 |........dc.AG...| +00000070 61 5f 02 58 09 3a 12 c8 2a dc 0f 57 f0 2b cb fe |a_.X.:..*..W.+..| +00000080 44 a1 bf 67 3f c2 c5 43 43 60 |D..g?..CC`| diff --git a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 index 489b431eaf2..0ac5ea725de 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 0b c0 be d3 90 |....Q...M.......| -00000010 a9 43 ec 8e 98 dc a1 75 be 51 bc bb 1a 36 f9 cc |.C.....u.Q...6..| -00000020 7c c1 03 dc 0f fc 07 9a 26 0e 46 20 9b 0b a7 22 ||.......&.F ..."| -00000030 0d 55 2c 30 b7 24 a9 b0 3c 95 f5 bb c2 c4 ca 7f |.U,0.$..<.......| -00000040 74 30 f4 cf 86 76 fe 35 fc 7c da cb 00 9d 00 00 |t0...v.5.|......| +00000000 16 03 03 00 51 02 00 00 4d 03 03 a4 b7 13 2b 05 |....Q...M.....+.| +00000010 d1 6e 6a 25 e2 1a b1 0e 71 80 9b 9b f3 45 b3 8b |.nj%....q....E..| +00000020 cf 90 de 1b 78 04 ad 8e 8a 80 52 20 b4 e0 ef a4 |....x.....R ....| +00000030 2b df 17 9c 6a 62 bf 77 43 60 29 ba 5e 57 b7 4a |+...jb.wC`).^W.J| +00000040 c2 df c8 79 47 90 0a 42 05 56 82 92 00 9d 00 00 |...yG..B.V......| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,17 +71,17 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 f0 a1 |.....(..........| -000000a0 0f 44 dc 30 64 bc 44 24 d2 fc 39 83 79 b6 c8 fc |.D.0d.D$..9.y...| -000000b0 63 bd d1 7f 92 e4 17 84 81 15 ad 0a 01 fc |c.............| +00000090 01 16 03 03 00 28 00 00 00 00 00 00 00 00 d9 b0 |.....(..........| +000000a0 1b 60 aa 10 77 76 95 27 af ff c6 e3 20 92 0c 2c |.`..wv.'.... ..,| +000000b0 b9 3b e6 2a a3 22 eb 3d 23 6a 74 38 07 a7 |.;.*.".=#jt8..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 76 8e ea 39 78 |..........(v..9x| -00000010 86 ec 81 ae 02 32 85 2c be 12 c3 4f 93 79 76 06 |.....2.,...O.yv.| -00000020 1e 67 94 78 bd f3 10 37 47 d6 eb 8a 66 03 a8 21 |.g.x...7G...f..!| -00000030 1a e0 01 |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 93 eb dc cf 90 |..........(.....| +00000010 33 92 b4 d9 2f 16 fb 77 8a ce 93 fe 1e 6a da 91 |3.../..w.....j..| +00000020 ec e3 ac c2 6e c9 f1 5d 6b e0 a7 1b 5a 80 c8 4f |....n..]k...Z..O| +00000030 fb 42 3c |.B<| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 5a 0e 91 |.............Z..| -00000010 97 a5 c9 71 4f 1e 34 72 e5 ce 91 df 6e e7 82 36 |...qO.4r....n..6| -00000020 2c ba bf 15 03 03 00 1a 00 00 00 00 00 00 00 02 |,...............| -00000030 57 1e 33 03 9c 8a 97 34 d6 cd b6 ff e0 2e f6 54 |W.3....4.......T| -00000040 24 2b |$+| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 4b f6 c7 |.............K..| +00000010 1a 35 f5 6a ca e4 21 d5 30 a6 44 bc e1 97 90 4f |.5.j..!.0.D....O| +00000020 6d 3b bf 15 03 03 00 1a 00 00 00 00 00 00 00 02 |m;..............| +00000030 d5 b5 08 af 5f 44 d8 14 d8 d0 4b 3c 0e c0 aa ce |...._D....K<....| +00000040 0d 92 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ALPN b/src/crypto/tls/testdata/Client-TLSv12-ALPN index 5e4c00accbd..05b9b7ff94b 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv12-ALPN @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 12 01 00 01 0e 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 14 01 00 01 10 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,22 +7,22 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 93 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 95 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 10 00 10 00 0e 06 70 |a.b............p| -000000d0 72 6f 74 6f 32 06 70 72 6f 74 6f 31 00 12 00 00 |roto2.proto1....| -000000e0 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 33 00 |.+............3.| -000000f0 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 |&.$... /.}.G.bC.| -00000100 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| -00000110 90 99 5f 58 cb 3b 74 |.._X.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 10 00 10 00 0e |a.b.............| +000000d0 06 70 72 6f 74 6f 32 06 70 72 6f 74 6f 31 00 12 |.proto2.proto1..| +000000e0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| +000000f0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| +00000100 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| +00000110 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 66 02 00 00 62 03 03 71 5b 77 b0 27 |....f...b..q[w.'| -00000010 a7 0a c3 c9 99 21 5a ec 10 e3 21 84 18 77 cc 1f |.....!Z...!..w..| -00000020 e3 a8 74 47 78 83 92 4c 8c c5 d8 20 e4 3c 73 ff |..tGx..L... ....B...=.| 000002c0 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -000002d0 00 a8 03 00 1d 20 bf 57 20 1d 51 47 a3 46 01 9d |..... .W .QG.F..| -000002e0 42 8e d9 28 0f 6a dc 0c 08 35 e1 82 c8 6c 6b c1 |B..(.j...5...lk.| -000002f0 6a 13 d4 f4 70 2c 08 04 00 80 b5 46 25 9e 2c 7b |j...p,.....F%.,{| -00000300 78 35 06 d1 5a 22 16 85 7b 96 bf 5d 3e 11 a1 5d |x5..Z"..{..]>..]| -00000310 3c 18 45 24 47 d5 fb 9b 62 df 94 71 18 b1 e8 8b |<.E$G...b..q....| -00000320 fe 1a 12 6c 15 a0 65 09 bd 83 4d 68 91 38 32 08 |...l..e...Mh.82.| -00000330 36 9f 9c 3d 83 97 13 bd 7c bf 1d 83 13 ff 74 ad |6..=....|.....t.| -00000340 d3 96 8b 3a f9 97 41 28 c3 12 a6 1d 78 4e 81 d5 |...:..A(....xN..| -00000350 85 ca 0a bc 32 76 17 6d b9 45 8f 32 6c f3 56 15 |....2v.m.E.2l.V.| -00000360 b2 b4 e1 1d 1e d4 a6 3d 8f 4e c7 09 7d 8e 9c 92 |.......=.N..}...| -00000370 d2 a5 b2 c8 79 57 6e 03 9b 7f 16 03 03 00 04 0e |....yWn.........| +000002d0 00 a8 03 00 1d 20 2d 20 ab db de 27 88 0b 36 e1 |..... - ...'..6.| +000002e0 c7 55 d4 06 93 ac 58 45 1b 95 54 df 8a bc 5e 9a |.U....XE..T...^.| +000002f0 13 5d 7e b8 c2 05 08 04 00 80 70 8b 09 89 43 a5 |.]~.......p...C.| +00000300 a8 0f 8c 4f 78 86 1b 78 c8 56 8e eb 6e 85 e0 96 |...Ox..x.V..n...| +00000310 d0 63 7b 26 25 20 c1 1e b8 70 99 3e 54 b2 4b 4a |.c{&% ...p.>T.KJ| +00000320 4e 9c 7f cb 61 b6 c4 dd b9 b3 a8 aa cc ad b5 fe |N...a...........| +00000330 53 92 de 66 04 4c cd b3 23 6f 33 66 ac 76 01 f2 |S..f.L..#o3f.v..| +00000340 ab f0 e4 4a d7 8e c3 da b1 10 fc a4 51 88 71 d8 |...J........Q.q.| +00000350 37 a0 db 2d 02 d6 5e 31 a0 0c 1f 34 03 0d 09 7a |7..-..^1...4...z| +00000360 f2 b6 97 b4 62 ad 21 2b a9 3c e0 04 82 39 d5 3f |....b.!+.<...9.?| +00000370 9a fc fd e4 76 bd 5c 26 23 d8 16 03 03 00 04 0e |....v.\&#.......| 00000380 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 47 e6 01 86 32 17 38 2a fb 1e 9b |.... G...2.8*...| -00000040 90 a3 86 34 6c 25 73 bd 10 d8 ca 9e 6d a8 e4 2b |...4l%s.....m..+| -00000050 ca 69 1e 59 58 |.i.YX| +00000030 16 03 03 00 20 34 b6 f4 69 a6 6a cf f8 bd 12 2a |.... 4..i.j....*| +00000040 49 63 e8 76 ab de 17 ed 4b 30 7c 44 f8 29 ba f0 |Ic.v....K0|D.)..| +00000050 dc ef af 1d bd |.....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 9a 5f 51 13 9b |.......... ._Q..| -00000010 d1 99 6a 19 3e 3b 63 35 13 23 8c 21 5c 8f c9 c0 |..j.>;c5.#.!\...| -00000020 61 8f fc 5a cf 6c b1 2b f5 d3 59 |a..Z.l.+..Y| +00000000 14 03 03 00 01 01 16 03 03 00 20 f2 5f bb 03 c0 |.......... ._...| +00000010 88 f8 4c 19 f9 33 5a 18 3e 21 3d 9e 6f a3 33 eb |..L..3Z.>!=.o.3.| +00000020 93 e0 dc 30 0e 86 6b 3e f1 01 b9 |...0..k>...| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 a2 c7 21 a9 e6 00 e7 f1 a2 15 e3 |.......!........| -00000010 d8 ed db 4d 46 c2 f3 09 cb 5c 9f 15 03 03 00 12 |...MF....\......| -00000020 df bd 79 48 93 ee 0b fd c6 a3 7f ca 16 99 40 94 |..yH..........@.| -00000030 0e 78 |.x| +00000000 17 03 03 00 16 c6 60 ce 66 d6 d7 52 b9 af 53 24 |......`.f..R..S$| +00000010 b9 f0 11 17 dd f2 a6 6d dd e1 00 15 03 03 00 12 |.......m........| +00000020 a2 b3 0b 85 86 8d 4b e7 1e 0b db 0c 5c 5e b7 99 |......K.....\^..| +00000030 95 54 |.T| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA index 14fa0f40b4f..97be6270e17 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 f3 e7 b0 11 18 |....Y...U.......| -00000010 be 05 00 86 c2 01 40 74 14 73 58 a2 8f 74 08 e5 |......@t.sX..t..| -00000020 c9 05 92 0f ca fa f5 7f fb 47 2a 20 4f f8 56 1b |.........G* O.V.| -00000030 f1 89 59 39 f9 a8 17 d1 d5 f1 5d 3b d2 d1 ab 20 |..Y9......];... | -00000040 cd 4b 9f 4b ea 1c a7 b2 a2 fa b5 af c0 09 00 00 |.K.K............| +00000000 16 03 03 00 59 02 00 00 55 03 03 c5 ee 77 70 48 |....Y...U....wpH| +00000010 0f ed 48 65 ec b0 ca 4b 38 35 a3 b7 fb 89 b0 1a |..He...K85......| +00000020 8d b1 de 3d 4d ea 92 c2 7b 53 7e 20 94 ef 64 11 |...=M...{S~ ..d.| +00000030 05 1a f4 6b 26 aa 06 b0 26 82 f9 79 82 d4 81 f7 |...k&...&..y....| +00000040 54 0e 26 bb f8 43 4d 5c 62 32 e3 5a c0 09 00 00 |T.&..CM\b2.Z....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,18 +56,18 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 68 ad |*............ h.| -00000280 b0 8f 86 a7 e5 d6 11 47 e1 b2 ab 4a 39 4a 2c 77 |.......G...J9J,w| -00000290 8c e9 5c 94 b8 81 f0 4c 13 da e6 5c b7 1c 04 03 |..\....L...\....| -000002a0 00 8b 30 81 88 02 42 01 d7 fb 9c 01 0d a8 3c 0f |..0...B.......<.| -000002b0 d9 b1 54 04 25 54 d6 58 b8 9a 89 a0 2b 95 5e 49 |..T.%T.X....+.^I| -000002c0 f1 83 cf af 4f 8b 86 b2 ee 15 cc 31 1d 71 58 79 |....O......1.qXy| -000002d0 25 54 a7 a2 99 df f8 df 76 3f 17 5d 81 f5 29 c1 |%T......v?.]..).| -000002e0 53 5e 09 8c 3f 55 9a 7e 0d 02 42 00 85 bd d6 5f |S^..?U.~..B...._| -000002f0 b5 68 d4 72 b5 c0 e9 60 32 cb 9e 66 61 8f d4 cc |.h.r...`2..fa...| -00000300 f9 14 70 a9 1a 45 f9 94 e8 44 4e b7 94 05 b1 69 |..p..E...DN....i| -00000310 1e 77 64 42 1d 94 90 f5 18 d3 b2 19 9e 9f 9f 86 |.wdB............| -00000320 d4 0e c4 f8 30 85 c3 92 a0 1f e0 ad d4 16 03 03 |....0...........| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 66 13 |*............ f.| +00000280 86 ed 87 52 0d 3d af 67 6d 69 aa a8 f0 31 39 03 |...R.=.gmi...19.| +00000290 28 25 d8 88 99 49 a0 7b f8 92 22 26 85 1c 04 03 |(%...I.{.."&....| +000002a0 00 8b 30 81 88 02 42 01 e7 94 8c b1 4d 73 3f 46 |..0...B.....Ms?F| +000002b0 27 92 bc 48 6a 12 2a 6f be fc 3b 4e 61 5f 70 1d |'..Hj.*o..;Na_p.| +000002c0 fa 55 18 f7 57 bc 21 15 57 f6 c9 03 53 1d 0c f2 |.U..W.!.W...S...| +000002d0 b4 5d 61 65 f8 31 1d b9 77 f2 9e 28 f7 05 f3 34 |.]ae.1..w..(...4| +000002e0 0e a7 2c 98 28 b1 ac a8 cf 02 42 00 d9 1c 1f 71 |..,.(.....B....q| +000002f0 a4 7b 8a f0 c2 57 a1 17 98 48 e4 c5 a2 2c 2c f8 |.{...W...H...,,.| +00000300 dc c3 b2 6d f6 d5 31 42 f9 77 f3 9a 21 1a af ac |...m..1B.w..!...| +00000310 71 ee be 36 a2 33 81 97 44 b6 09 30 35 86 67 a6 |q..6.3..D..05.g.| +00000320 8d d1 7c 09 7b 7f f9 16 fb 8b 3b 1b 47 16 03 03 |..|.{.....;.G...| 00000330 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000340 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000350 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -109,32 +109,32 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 93 0f 00 |...._X.;t.......| -00000240 00 8f 04 03 00 8b 30 81 88 02 42 00 ba 5e 22 92 |......0...B..^".| -00000250 16 6e 86 27 2f 13 45 23 60 8f 08 55 17 00 0b 06 |.n.'/.E#`..U....| -00000260 c1 76 87 d8 12 ac 2c 8b 13 02 da b0 f2 c2 d4 40 |.v....,........@| -00000270 5c cb c5 33 5e cf 37 04 b2 00 ff 0c d6 38 1c 2a |\..3^.7......8.*| -00000280 05 8a 66 e8 df 48 42 d2 9b 4f 70 68 ca 02 42 01 |..f..HB..Oph..B.| -00000290 a2 f6 a4 f5 55 53 ab 8f 8b b7 ca 92 8b e3 aa 0b |....US..........| -000002a0 92 13 33 a5 56 c3 54 80 0d 3a b5 66 02 48 15 01 |..3.V.T..:.f.H..| -000002b0 ca ce ff fb 23 ca 58 41 1c 56 d4 34 dd 6f ae 8b |....#.XA.V.4.o..| -000002c0 25 06 80 d1 54 ad 87 94 6f c6 b6 a6 81 1c 71 f1 |%...T...o.....q.| -000002d0 01 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 |...........@....| -000002e0 00 00 00 00 00 00 00 00 00 00 00 00 a0 6b 36 d6 |.............k6.| -000002f0 19 f1 4c eb 4b da 58 43 3c 08 35 c8 70 c0 95 76 |..L.K.XC<.5.p..v| -00000300 69 2a a7 32 8c c3 6a f0 57 1f 5e 0b ee 9d f9 2e |i*.2..j.W.^.....| -00000310 3a 01 f5 09 68 a1 dd a4 b7 32 c3 94 |:...h....2..| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 92 0f 00 |...._X.;t.......| +00000240 00 8e 04 03 00 8a 30 81 87 02 42 01 71 ee db e7 |......0...B.q...| +00000250 5a d9 cd 7e 81 57 30 99 f7 da 52 7d 15 98 62 9d |Z..~.W0...R}..b.| +00000260 e9 9b ca c1 7b ae 6d ba 48 ab 4f 18 16 46 1a 6c |....{.m.H.O..F.l| +00000270 21 29 f7 c8 c7 a1 ab 09 f8 5e 82 31 87 84 1f 92 |!).......^.1....| +00000280 4e da 5d e3 3f c3 6f 4e a9 38 32 04 ae 02 41 57 |N.].?.oN.82...AW| +00000290 b5 43 9b db 33 c8 a3 99 cb 5e 48 91 68 d9 ff 37 |.C..3....^H.h..7| +000002a0 6b 66 f3 41 a8 15 0b 20 24 82 c9 6e 51 94 16 fd |kf.A... $..nQ...| +000002b0 59 ee 7e aa b0 22 5f 1c b7 e3 d2 29 51 7b 6f fc |Y.~.."_....)Q{o.| +000002c0 48 e3 e5 bc 5e 74 80 ed 4b 99 2c 29 7a c2 b0 82 |H...^t..K.,)z...| +000002d0 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| +000002e0 00 00 00 00 00 00 00 00 00 00 00 d0 38 92 cf f1 |............8...| +000002f0 b2 8c 35 0e cc ac 94 41 33 a8 9e 29 a5 41 4f 10 |..5....A3..).AO.| +00000300 69 22 c9 ba 06 80 cc 87 72 2e 05 08 97 b9 76 c3 |i"......r.....v.| +00000310 77 ec a4 06 92 c0 12 e8 08 0f b6 |w..........| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 23 2d a4 40 b0 |..........@#-.@.| -00000010 22 60 06 d1 90 2c 20 99 8f a1 a5 7a db 06 93 a3 |"`..., ....z....| -00000020 bc 30 28 04 e4 db 78 ec ad 40 5b d3 dc 04 52 44 |.0(...x..@[...RD| -00000030 18 b6 9a c4 40 b3 c9 01 fd 5f 3e d7 bc 44 e9 42 |....@...._>..D.B| -00000040 73 9d f3 0c a5 46 07 51 5b 44 24 |s....F.Q[D$| +00000000 14 03 03 00 01 01 16 03 03 00 40 22 fc dd 17 34 |..........@"...4| +00000010 ad 8e 82 53 7c 98 f0 d6 a9 55 92 85 54 dd 07 48 |...S|....U..T..H| +00000020 89 d5 9b 7d 0e 05 df 42 77 dd a4 f0 a2 0f d7 3f |...}...Bw......?| +00000030 02 4a 89 d8 bc 70 23 91 a4 99 26 55 ab b0 c5 7b |.J...p#...&U...{| +00000040 f1 b1 1e 06 fd 84 e4 06 07 e5 53 |..........S| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 67 be 0d 62 5f 66 e3 66 f5 99 76 |.....g..b_f.f..v| -00000020 de d5 76 37 cc 63 05 ab 05 08 e2 21 7d 6e 3f e2 |..v7.c.....!}n?.| -00000030 39 fa 7d 82 0e 15 03 03 00 30 00 00 00 00 00 00 |9.}......0......| -00000040 00 00 00 00 00 00 00 00 00 00 96 c7 67 61 4e 91 |............gaN.| -00000050 37 de bb d5 f3 9e e9 d6 ab ce 6e 19 2a dc 5c 9c |7.........n.*.\.| -00000060 8a 93 35 cc a2 11 7c e9 01 d3 |..5...|...| +00000010 00 00 00 00 00 40 86 f6 cf aa b0 31 58 e0 e5 51 |.....@.....1X..Q| +00000020 ff 25 30 fd 0f dc 58 b7 9c 58 05 b9 a1 73 4c fa |.%0...X..X...sL.| +00000030 ac 80 44 f6 f9 15 03 03 00 30 00 00 00 00 00 00 |..D......0......| +00000040 00 00 00 00 00 00 00 00 00 00 e5 5a 81 c4 80 c7 |...........Z....| +00000050 61 a0 14 c4 6f c2 19 1a 0a 7a c3 88 d2 a4 3f f8 |a...o....z....?.| +00000060 33 0e bf 68 6f 08 26 e2 7d 4a |3..ho.&.}J| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA index 075fa037000..d369f6a4e56 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-ECDSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 78 a3 d4 50 65 |....Y...U..x..Pe| -00000010 da 34 4c 65 87 5e 27 78 b4 92 37 e0 0b 48 9e dc |.4Le.^'x..7..H..| -00000020 e1 69 19 68 98 4e 2c ba 36 54 78 20 b6 5e 16 3d |.i.h.N,.6Tx .^.=| -00000030 f3 43 54 e9 c7 82 19 6a 93 03 37 16 3a 09 24 eb |.CT....j..7.:.$.| -00000040 e1 a9 40 e2 0a 24 a5 0d 15 b8 53 a1 c0 2f 00 00 |..@..$....S../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 00 7e 73 6e dc |....Y...U...~sn.| +00000010 56 8e 73 50 5b a0 5a 82 b5 c5 ff 3b eb 91 f2 f5 |V.sP[.Z....;....| +00000020 cf 5d 8e 77 1d ef d8 5f f7 d8 75 20 d7 2d 01 56 |.].w..._..u .-.V| +00000030 59 73 5a d1 c4 db d9 85 dc 53 c5 dd ef b3 06 43 |YsZ......S.....C| +00000040 e8 7b 2c 08 6e bb 36 90 8e 79 e0 69 c0 2f 00 00 |.{,.n.6..y.i./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 32 f2 c2 ff 39 e4 41 |........ 2...9.A| -000002d0 6f 85 8e 57 d6 5d ef bc c8 e0 22 32 70 00 f8 38 |o..W.]...."2p..8| -000002e0 d2 ad 0f e7 e4 84 e4 5f 18 08 04 00 80 5a 83 d4 |......._.....Z..| -000002f0 2a 20 4a 79 41 91 11 3e 82 01 19 cf 46 9e 51 a0 |* JyA..>....F.Q.| -00000300 de ff fa 58 44 1b 35 ae 9a 5a 57 fb 95 a0 a8 23 |...XD.5..ZW....#| -00000310 b7 33 ab 7e 86 ae 27 19 1f 89 4e c3 95 bd f7 9f |.3.~..'...N.....| -00000320 6b 7b 3b b6 9b a8 99 0d 52 68 0b 89 5f fc ae 70 |k{;.....Rh.._..p| -00000330 93 97 ab 7f d6 eb 1c f9 e2 88 d2 f3 de fd c3 a7 |................| -00000340 30 a1 ba 2e bc 86 14 8f 92 cb b1 8b 7e 9b 5a c1 |0...........~.Z.| -00000350 9b 02 8c 90 a3 08 d2 97 da 64 81 5a d7 51 85 97 |.........d.Z.Q..| -00000360 62 8e e2 7a ca 3f fd 4e 30 d4 17 87 a5 16 03 03 |b..z.?.N0.......| +000002c0 ac 0c 00 00 a8 03 00 1d 20 82 2e 3b 44 da bb 0f |........ ..;D...| +000002d0 4a 32 d1 8a c0 e5 b9 10 3a 35 06 85 ba db ca 5a |J2......:5.....Z| +000002e0 2a 5c 0c c5 45 c3 66 47 55 08 04 00 80 da 78 ad |*\..E.fGU.....x.| +000002f0 33 9c bf b1 1d cd 15 a2 35 66 39 54 c1 e6 3c 5e |3.......5f9T..<^| +00000300 1f 68 0d 18 54 51 01 a9 6e 34 46 1e 7f 35 2f b4 |.h..TQ..n4F..5/.| +00000310 1a 30 48 2f a8 13 25 85 1b 87 f1 f9 ab 19 bf 49 |.0H/..%........I| +00000320 7a e8 dd 1f 44 86 7a 24 50 aa b3 1e 4f 7b ae bf |z...D.z$P...O{..| +00000330 ea a1 ef 6c 37 f2 2c 7a db 05 ba 06 3c f2 4d 04 |...l7.,z....<.M.| +00000340 3e 3b 82 26 ad db 80 0f 1e 52 53 54 0f 54 5c fa |>;.&.....RST.T\.| +00000350 58 d5 bb b4 11 5f 56 20 b1 24 9f d0 0d b9 83 c4 |X...._V .$......| +00000360 ce 48 a5 71 e7 6b 93 1e 25 e6 7e 60 c2 16 03 03 |.H.q.k..%.~`....| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,28 +113,28 @@ 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| 00000210 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd 62 |...%...! /.}.G.b| 00000220 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 92 0f 00 |...._X.;t.......| -00000240 00 8e 04 03 00 8a 30 81 87 02 42 00 b1 62 9d 4e |......0...B..b.N| -00000250 30 ee fb 3c ee 41 d4 da 92 83 bd 6a de 55 1c 31 |0..<.A.....j.U.1| -00000260 d9 5c f1 1a 22 f5 98 f9 73 8e f0 a1 65 a3 2c 93 |.\.."...s...e.,.| -00000270 34 ee c4 3f 7b 9e 8d 33 2a 46 c4 ab 41 31 fb dd |4..?{..3*F..A1..| -00000280 fc a8 be 2d 74 6d 50 d3 d6 87 0c 54 92 02 41 19 |...-tmP....T..A.| -00000290 f7 6b a7 64 12 17 79 ec 12 d2 f9 9d 75 cc 27 45 |.k.d..y.....u.'E| -000002a0 ff 3e a1 6e 57 4a f8 09 e3 03 97 2a b1 6e 07 ed |.>.nWJ.....*.n..| -000002b0 e0 ce ca 7e ec ad c5 80 3d f4 47 49 0f 50 5b 73 |...~....=.GI.P[s| -000002c0 03 85 3b 71 f7 ed 71 14 15 ef c3 71 c4 a1 8a 1b |..;q..q....q....| -000002d0 14 03 03 00 01 01 16 03 03 00 28 00 00 00 00 00 |..........(.....| -000002e0 00 00 00 fa 35 6c a2 dc b5 4d 07 7f c7 81 63 a1 |....5l...M....c.| -000002f0 b6 89 34 83 2c 01 66 96 0d 75 00 0f 8f c4 94 94 |..4.,.f..u......| -00000300 d5 6f bf |.o.| +00000230 c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 93 0f 00 |...._X.;t.......| +00000240 00 8f 04 03 00 8b 30 81 88 02 42 01 cc 5c 02 8e |......0...B..\..| +00000250 8d 3e cb fa e4 3c 81 b8 e4 dc da 19 bd d6 85 05 |.>...<..........| +00000260 5e 88 0f 9f 03 2f 92 a5 9c 00 b1 af 04 b3 61 b2 |^..../........a.| +00000270 eb b5 39 a9 01 2a 11 54 53 89 94 6c 51 72 a2 16 |..9..*.TS..lQr..| +00000280 f1 1a 6b ce cd 8f 88 59 2f d4 ea 02 b4 02 42 01 |..k....Y/.....B.| +00000290 05 54 4d 19 a1 de 75 90 d6 b6 23 84 7a b3 75 2c |.TM...u...#.z.u,| +000002a0 a8 89 7f ce 73 85 d0 11 9c be f5 7d 78 e0 8d e1 |....s......}x...| +000002b0 f9 a6 6a e6 6e 78 be 1e d0 6b 30 db f8 ba 3d fd |..j.nx...k0...=.| +000002c0 af 06 e9 47 e9 7c ea 32 46 f2 e0 35 0d ee a5 2d |...G.|.2F..5...-| +000002d0 00 14 03 03 00 01 01 16 03 03 00 28 00 00 00 00 |...........(....| +000002e0 00 00 00 00 ec 7d a7 6b 24 ea 04 db c4 8a d2 fa |.....}.k$.......| +000002f0 aa cc f8 3d bc 5d 7d 47 49 1b 37 74 06 ae fd be |...=.]}GI.7t....| +00000300 07 c0 ea 5d |...]| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 45 00 23 a5 1a |..........(E.#..| -00000010 84 b9 c0 4c f7 8d 3c b4 b1 79 ad 26 5f 03 af af |...L..<..y.&_...| -00000020 57 44 72 c1 fa cc 7e 59 18 96 75 20 5f b1 ed f3 |WDr...~Y..u _...| -00000030 98 dc 7f |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 cc 0e a0 ed 17 |..........(.....| +00000010 84 cd 5b cf 24 c0 9d 2a af 76 75 2b 26 39 3d db |..[.$..*.vu+&9=.| +00000020 78 1e ed 30 81 e3 9a 78 f9 07 f9 07 90 58 ea 74 |x..0...x.....X.t| +00000030 be 48 57 |.HW| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 f4 9c 0e |................| -00000010 c6 84 66 27 29 34 67 14 e1 d1 94 ea 2b 26 45 44 |..f')4g.....+&ED| -00000020 26 b3 9d 15 03 03 00 1a 00 00 00 00 00 00 00 02 |&...............| -00000030 31 05 fd e1 5f 96 19 d9 c7 92 48 84 3b 7e 80 f9 |1..._.....H.;~..| -00000040 83 c5 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 77 56 f2 |.............wV.| +00000010 ba 08 c8 93 d5 5a c2 e2 65 5e 5e c9 12 44 e3 df |.....Z..e^^..D..| +00000020 f5 f9 ba 15 03 03 00 1a 00 00 00 00 00 00 00 02 |................| +00000030 96 b8 5c a9 61 56 e0 11 9d ce b0 47 dd 4b 5e 05 |..\.aV.....G.K^.| +00000040 4e 20 |N | diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 index 4c090c35c08..4e95c14925e 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 fb cc 46 cd 3b |....Y...U....F.;| -00000010 74 d3 6d d1 9a a4 58 30 71 ae 6e 19 70 1e 13 ce |t.m...X0q.n.p...| -00000020 00 b8 05 f0 21 4f 98 c6 c6 e8 d9 20 49 b2 43 a1 |....!O..... I.C.| -00000030 7a 50 d0 00 69 55 47 3c c3 21 7e 8a f9 d2 55 b4 |zP..iUG<.!~...U.| -00000040 50 51 02 c9 f8 28 80 27 db 74 f1 05 cc a8 00 00 |PQ...(.'.t......| +00000000 16 03 03 00 59 02 00 00 55 03 03 de bc 1c f0 a4 |....Y...U.......| +00000010 a0 ca 32 f8 05 b4 ac d5 6a d7 db 61 48 ec ac d0 |..2.....j..aH...| +00000020 fb c5 02 e7 15 60 be 54 d6 2c 23 20 59 9b f4 8e |.....`.T.,# Y...| +00000030 58 ea d5 bb 15 e8 79 e1 1c 3f b3 08 72 e8 c3 5c |X.....y..?..r..\| +00000040 e6 16 d8 97 01 42 bd be 2d 4d 62 f4 cc a8 00 00 |.....B..-Mb.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 b4 ed d4 de 33 c5 d1 |........ ....3..| -000002d0 10 70 21 0a c5 42 95 04 2f d6 f4 15 8d 19 10 f7 |.p!..B../.......| -000002e0 f8 fa f3 1d 71 05 96 b4 65 08 04 00 80 32 76 7e |....q...e....2v~| -000002f0 1c dc 0a d9 f2 71 bb 9c 07 1c c4 33 fe 20 b4 b5 |.....q.....3. ..| -00000300 b1 38 9a 91 91 43 97 0f 94 1e bf a6 a5 de 09 12 |.8...C..........| -00000310 bd ab 9e 3f de 40 0f 3d 1a fd f3 b9 0a 7c 00 f6 |...?.@.=.....|..| -00000320 68 6b 7a 45 66 ad 79 f1 18 bf 49 da 40 7a ab c0 |hkzEf.y...I.@z..| -00000330 9d 93 94 33 e9 d4 de 3d 9d 74 0f c4 56 c8 d5 d6 |...3...=.t..V...| -00000340 88 4a d9 27 22 79 62 7a 30 76 b3 da a2 da 42 d5 |.J.'"ybz0v....B.| -00000350 d6 e7 23 90 13 a9 d4 ed 50 4e 6e 10 c0 90 aa a6 |..#.....PNn.....| -00000360 ae 38 e6 23 84 53 af d6 b9 31 ac b2 6f 16 03 03 |.8.#.S...1..o...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 e3 86 c2 33 d1 24 89 |........ ...3.$.| +000002d0 90 2b ca c7 e9 bf a5 a2 2d a7 e1 1b 39 7b 3f 37 |.+......-...9{?7| +000002e0 40 2a ff dc 44 08 90 69 1d 08 04 00 80 24 99 a6 |@*..D..i.....$..| +000002f0 47 b9 09 c4 02 ee 4a fa 6c c7 41 fb e4 8b e7 72 |G.....J.l.A....r| +00000300 32 96 bd 34 2a 72 76 c0 e3 5e d9 f1 f3 38 0b e7 |2..4*rv..^...8..| +00000310 58 e4 a6 2d dd dd b3 3f 66 7e 02 75 ce 72 14 97 |X..-...?f~.u.r..| +00000320 14 b7 75 39 cd 3a 60 0a eb 5a 88 db d2 0c 7b b4 |..u9.:`..Z....{.| +00000330 1e 9c f4 b3 b6 6c 2c d6 89 c4 f8 f3 8f 5c a7 e7 |.....l,......\..| +00000340 05 71 92 81 f1 1b b7 fa df 5b a6 5d a0 8d 97 f6 |.q.......[.]....| +00000350 93 0d 7d 14 f1 05 fb a5 9b 8a b6 e8 34 43 66 d4 |..}.........4Cf.| +00000360 b8 dc 48 29 c7 ea 69 f1 52 41 c5 b7 e0 16 03 03 |..H)..i.RA......| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -101,20 +101,20 @@ 00000140 08 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 |.....%...! /.}.G| 00000150 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| 00000160 c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 48 |......_X.;t....H| -00000170 0f 00 00 44 08 07 00 40 ed 17 75 b3 b9 66 3c 0e |...D...@..u..f<.| -00000180 1b 9b 39 8a e0 00 22 2f fa 47 98 29 12 88 7e 5d |..9..."/.G.)..~]| -00000190 02 c4 91 b2 da 71 18 f7 39 3d 95 ec 76 4b 4e e5 |.....q..9=..vKN.| -000001a0 6a 3d 2b 39 3d 16 4f a2 4c 03 f2 6c 85 24 3d 93 |j=+9=.O.L..l.$=.| -000001b0 95 3b f1 ad e3 6b 37 0d 14 03 03 00 01 01 16 03 |.;...k7.........| -000001c0 03 00 20 e6 36 d5 51 7e 66 c6 cf 6f f9 28 57 3a |.. .6.Q~f..o.(W:| -000001d0 27 20 ce d2 93 b9 6a 6c 7d 8c 26 28 04 ee 18 4d |' ....jl}.&(...M| -000001e0 4d d0 3c |M.<| +00000170 0f 00 00 44 08 07 00 40 de 00 e6 5f f4 59 97 97 |...D...@..._.Y..| +00000180 23 1e 0f d8 b0 79 ab 71 34 35 68 c2 0e db df 48 |#....y.q45h....H| +00000190 c1 37 20 6c 54 90 50 f5 ad 6c 65 a2 1a 19 16 e7 |.7 lT.P..le.....| +000001a0 bb 81 0f 2d 73 4b 45 71 3c 52 c6 51 1c d7 6b f7 |...-sKEq>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 9c 27 05 17 d3 |.......... .'...| -00000010 89 9d d1 8d 27 e6 7e 43 15 61 25 a8 68 4d 45 4a |....'.~C.a%.hMEJ| -00000020 6b d6 04 72 6c e3 92 5a 9c af 81 |k..rl..Z...| +00000000 14 03 03 00 01 01 16 03 03 00 20 ad ee ac 81 e6 |.......... .....| +00000010 71 68 16 ff c6 cc f4 e0 81 9b 1c 62 d4 69 47 df |qh.........b.iG.| +00000020 f7 c7 9c fb be 69 65 1c 77 7a a4 |.....ie.wz.| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 17 cd e7 ec 41 4b 7d 37 ad 8e 0b |.........AK}7...| -00000010 f6 45 84 66 a8 93 b2 b8 df d8 96 15 03 03 00 12 |.E.f............| -00000020 ea 0c 02 60 e2 00 84 fd a9 3c d1 5e c9 f3 2d 8a |...`.....<.^..-.| -00000030 99 f6 |..| +00000000 17 03 03 00 16 0f 19 65 02 7e ea 9c e0 c3 64 b1 |.......e.~....d.| +00000010 12 b5 4c 65 62 86 68 3b 7b fd c9 15 03 03 00 12 |..Leb.h;{.......| +00000020 05 d0 e2 86 df 61 28 36 9f 49 69 73 2b 52 11 b9 |.....a(6.Iis+R..| +00000030 18 4d |.M| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 index b6a7c037035..8056220c58a 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 f7 2a 9e de 7d |....Y...U...*..}| -00000010 68 fd 55 6c 71 58 b4 6c 93 65 04 a1 f4 75 20 2d |h.UlqX.l.e...u -| -00000020 2c 6f af 23 ee 32 39 a6 89 2f 34 20 23 01 d2 40 |,o.#.29../4 #..@| -00000030 fd 33 12 13 17 aa 70 e2 55 01 ff 65 12 29 3e 36 |.3....p.U..e.)>6| -00000040 73 2f cb 10 2a 7f 0b 61 70 e9 b4 17 c0 30 00 00 |s/..*..ap....0..| +00000000 16 03 03 00 59 02 00 00 55 03 03 94 63 1a 7a d2 |....Y...U...c.z.| +00000010 0f 99 b7 3e c2 90 14 73 5f d9 15 30 48 86 af ca |...>...s_..0H...| +00000020 f7 92 ff 84 01 ab 8f bb 13 1d a9 20 79 a9 24 65 |........... y.$e| +00000030 03 d6 49 02 6d db 63 34 08 1c 4a 2f 37 6d 8a 61 |..I.m.c4..J/7m.a| +00000040 ff 1f d7 7a 09 2e c8 ae a0 f6 f7 bd c0 30 00 00 |...z.........0..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 ab ac d5 7f 8f 7e ce |........ .....~.| -000002d0 a4 a0 08 13 2b 30 9f b7 39 c8 6c f0 ca 52 49 d3 |....+0..9.l..RI.| -000002e0 d5 87 47 48 1c c4 b2 b7 08 08 04 00 80 bd 89 71 |..GH...........q| -000002f0 f3 d1 2d e4 98 b8 3c f6 f0 98 ff eb 9b 8c 7c 07 |..-...<.......|.| -00000300 96 3d 04 3f f8 44 05 de 75 97 79 82 cf ab 9d c9 |.=.?.D..u.y.....| -00000310 14 bb 4d f0 9a 4c 72 a2 c3 da 6c dc 69 88 3d 2a |..M..Lr...l.i.=*| -00000320 c3 13 85 7d cd 30 c3 c4 94 f6 6e ca 5a 96 9f 28 |...}.0....n.Z..(| -00000330 0d cf be c2 fa 50 1c 2e 9e 28 e7 b5 48 e7 73 8c |.....P...(..H.s.| -00000340 5e bd 3a ac 06 5e be 9d ce fb 14 e2 9d 51 63 9c |^.:..^.......Qc.| -00000350 65 68 26 d6 0a a9 b5 21 6d fb 2b 76 d5 24 5f 47 |eh&....!m.+v.$_G| -00000360 c4 9e e9 27 2d 89 9e c1 44 2f 0f 6a 2e 16 03 03 |...'-...D/.j....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 4b 8e 9f 8d 3c d9 a1 |........ K...<..| +000002d0 bd 49 ea 69 b1 08 bb d3 92 0e e4 8f ed bc 18 f5 |.I.i............| +000002e0 3b 25 3d 39 ab 51 fd b3 49 08 04 00 80 b1 f9 94 |;%=9.Q..I.......| +000002f0 17 4b 9b ab c7 e2 5c 37 a0 eb e5 72 44 ed ef 31 |.K....\7...rD..1| +00000300 15 56 9f 5c e5 f0 04 dd 71 b1 ff ee 20 9b 07 de |.V.\....q... ...| +00000310 7b 2f ba f0 1e 6c d4 f5 8d e5 bc bf 85 c5 25 7b |{/...l........%{| +00000320 f9 fb 2d 34 f1 cb 61 28 c3 89 8d ce 13 df 85 f9 |..-4..a(........| +00000330 ee 0a c7 1f 6c cc 8a 5a cf e8 cc 90 21 0c 3d de |....l..Z....!.=.| +00000340 51 d3 0b cf 4e 7c 70 07 3b ee f8 80 97 25 19 41 |Q...N|p.;....%.A| +00000350 b1 11 20 ef 22 83 5f fe 46 19 77 6c b1 d2 57 6b |.. ."._.F.wl..Wk| +00000360 9b 9d 49 f9 63 68 b0 4c 26 ce d5 63 31 16 03 03 |..I.ch.L&..c1...| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 b2 e3 64 c8 2c 06 97 |...........d.,..| -00000240 7d 7c bb cb f1 67 ac 45 0a 31 a7 78 60 eb e3 2f |}|...g.E.1.x`../| -00000250 88 50 a7 86 10 df ee f0 3b c0 a8 fa df c1 9e 4b |.P......;......K| -00000260 7c e8 b5 e2 e3 fc c8 6e 29 9d 31 65 68 6b b7 d1 ||......n).1ehk..| -00000270 02 4b 81 38 4b b3 d8 e8 33 b5 46 9c c7 44 a1 63 |.K.8K...3.F..D.c| -00000280 81 b7 ee 1b 3f 59 f5 2c 47 92 19 b7 99 e9 9f 62 |....?Y.,G......b| -00000290 bd b0 cf dd 19 c9 03 00 23 3f 4b da d1 7e c3 3f |........#?K..~.?| -000002a0 0c 40 43 a0 f6 28 66 e8 e5 27 74 5f 83 3a 0f f7 |.@C..(f..'t_.:..| -000002b0 21 d8 5a 03 9d 28 2f 7d 32 14 03 03 00 01 01 16 |!.Z..(/}2.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 a4 73 15 83 |...(.........s..| -000002d0 8a ab 71 78 ba f3 5a c2 08 c9 90 dd a5 ee 05 11 |..qx..Z.........| -000002e0 45 f9 8d 7a 18 07 f7 3c 9d e7 ba b0 |E..z...<....| +00000230 88 0f 00 00 84 08 04 00 80 4e 7e e6 78 e6 9e 19 |.........N~.x...| +00000240 c1 bb 85 46 75 53 a7 0c f2 e1 9d 00 3a b6 ac 30 |...FuS......:..0| +00000250 44 c7 38 7a b7 46 8a c2 87 34 5e c9 ed cd 6e cf |D.8z.F...4^...n.| +00000260 74 14 8a 76 78 32 89 92 7a b5 f0 ab 1b 5d fb 0d |t..vx2..z....]..| +00000270 fa df c4 0d c1 6e 2a 2f 02 39 f2 d0 29 f6 fd 43 |.....n*/.9..)..C| +00000280 31 f7 31 46 17 05 77 f8 c1 00 08 80 2c b8 eb 32 |1.1F..w.....,..2| +00000290 96 5d c6 1b d0 a8 4c 60 d3 36 3c e3 98 61 77 84 |.]....L`.6<..aw.| +000002a0 8e ba 5c f9 1c 37 9a 77 f2 53 b9 ff 4d bd 01 2e |..\..7.w.S..M...| +000002b0 37 e7 e2 fd 07 0a 0d b4 aa 14 03 03 00 01 01 16 |7...............| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 e5 8c 9d 4b |...(...........K| +000002d0 10 ec f8 85 12 74 4f ad 5d 61 5e 69 c7 4d 5a 63 |.....tO.]a^i.MZc| +000002e0 a5 57 64 5e 1a ff 22 0f cc d7 fc 24 |.Wd^.."....$| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 39 e7 0c 54 a8 |..........(9..T.| -00000010 29 8a c6 5d ed 5c aa 2d a9 b5 f5 9a 84 63 a0 e5 |)..].\.-.....c..| -00000020 51 2d d4 85 a6 19 0e 7d 3e d0 9b d1 09 1f bb 68 |Q-.....}>......h| -00000030 c3 38 86 |.8.| +00000000 14 03 03 00 01 01 16 03 03 00 28 6f 8a 03 7a 3e |..........(o..z>| +00000010 5d 92 d5 52 41 87 51 57 84 f8 06 d8 33 06 2d 13 |]..RA.QW....3.-.| +00000020 bf 21 a1 ee 94 5c 08 be 7e 89 0e 6c ac dc 18 21 |.!...\..~..l...!| +00000030 98 0b 1a |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 f3 24 eb |..............$.| -00000010 4a 2c fa 45 fc 8f 23 20 1e a7 99 3d fc fe 73 82 |J,.E..# ...=..s.| -00000020 80 6e 2a 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.n*.............| -00000030 c8 af f9 b3 27 ef fa 27 66 82 f3 1d 32 11 c3 9e |....'..'f...2...| -00000040 10 e7 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 e5 be 31 |...............1| +00000010 93 e2 2f fe 7e b3 e2 95 77 69 40 9a cc 32 7f 79 |../.~...wi@..2.y| +00000020 30 88 02 15 03 03 00 1a 00 00 00 00 00 00 00 02 |0...............| +00000030 be 47 1a 94 f6 5b 7d 0e 52 03 a9 b5 8c 89 8e 31 |.G...[}.R......1| +00000040 45 77 |Ew| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA index 7d311733bca..d9dcf3d5626 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 fa 65 0c 99 e4 |....Y...U...e...| -00000010 0c 23 39 c4 56 0c 4d 3b 5a 51 fd 9b 58 d5 bf 40 |.#9.V.M;ZQ..X..@| -00000020 95 56 42 41 69 58 9b 19 84 43 2d 20 45 8d da 3b |.VBAiX...C- E..;| -00000030 f1 05 fd 04 96 66 5c d0 7a 67 91 20 a8 e6 46 78 |.....f\.zg. ..Fx| -00000040 c4 39 3c 89 bb 32 49 73 50 61 e4 36 c0 09 00 00 |.9<..2IsPa.6....| +00000000 16 03 03 00 59 02 00 00 55 03 03 a7 29 a5 f1 46 |....Y...U...)..F| +00000010 0d 82 c6 cf 46 c7 6a e7 1d 5b 76 4b 59 4d 4b 9c |....F.j..[vKYMK.| +00000020 48 78 2f 96 ca 03 31 ee dc a1 3d 20 8f 78 25 7f |Hx/...1...= .x%.| +00000030 97 ea d7 75 cb 63 c7 22 34 dc e3 98 9e 39 1d 35 |...u.c."4....9.5| +00000040 ab 45 52 f0 07 b2 38 be 61 e8 37 35 c0 09 00 00 |.ER...8.a.75....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,23 +56,23 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 88 9d |*............ ..| -00000280 56 e1 8c ef 99 72 de 97 ea 91 d3 28 36 15 1e d8 |V....r.....(6...| -00000290 43 89 ef a3 8f 9e a1 71 da ce 86 62 cc 2e 04 03 |C......q...b....| -000002a0 00 89 30 81 86 02 41 15 f9 ef 1e 51 49 6e c4 30 |..0...A....QIn.0| -000002b0 b5 a1 2d 8a d2 6c 64 b0 b0 b0 a5 75 2b fb 26 4c |..-..ld....u+.&L| -000002c0 9a 60 27 4e 05 fc 5e 16 d6 05 fc e9 e5 e5 c4 56 |.`'N..^........V| -000002d0 e9 67 d1 3d 1e ff 3e 05 07 32 5b 3b 69 cd 2d 76 |.g.=..>..2[;i.-v| -000002e0 21 31 43 53 50 d2 09 0f 02 41 01 b2 45 94 99 59 |!1CSP....A..E..Y| -000002f0 13 d6 48 1b 63 c3 dd 05 1f e8 16 4e 0b f1 2a 2e |..H.c......N..*.| -00000300 b6 6c b0 df 53 71 77 46 24 23 3d dc db 06 79 e9 |.l..SqwF$#=...y.| -00000310 13 81 11 e4 1a 89 81 c8 71 cd 51 3f 57 b1 d0 5b |........q.Q?W..[| -00000320 e7 bd 3e b1 6e 80 0e e4 11 ea e5 16 03 03 00 3a |..>.n..........:| -00000330 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 06 03 |...6...@........| -00000340 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 08 06 |................| -00000350 04 01 05 01 06 01 03 03 02 03 03 01 02 01 03 02 |................| -00000360 02 02 04 02 05 02 06 02 00 00 16 03 03 00 04 0e |................| -00000370 00 00 00 |...| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 2f 01 |*............ /.| +00000280 dc 54 52 ea 1b b8 36 0c 5d 3b 3a eb 6e 5b f7 3e |.TR...6.];:.n[.>| +00000290 e3 fa f3 c7 d0 ec d3 97 be f8 01 44 aa 2b 04 03 |...........D.+..| +000002a0 00 8b 30 81 88 02 42 01 a2 b9 27 d7 b7 74 6a a4 |..0...B...'..tj.| +000002b0 2f 17 c7 97 2a 14 94 92 44 a7 1c aa 31 ff 02 f5 |/...*...D...1...| +000002c0 df 47 47 f0 76 db 08 9f 0c 28 5c 1c 06 91 ed 44 |.GG.v....(\....D| +000002d0 7e 22 5f ff 7c 52 aa ab fb 87 6c 21 a0 f9 d7 34 |~"_.|R....l!...4| +000002e0 9a 36 cb d9 d7 b2 f0 09 c9 02 42 01 d9 7e e1 b9 |.6........B..~..| +000002f0 cc 80 44 a9 1a c6 94 99 3d a6 72 3b 5c 39 32 04 |..D.....=.r;\92.| +00000300 a4 5c d5 90 c1 7b 9d d5 98 26 38 26 5b e6 1c f1 |.\...{...&8&[...| +00000310 da 41 16 36 48 c2 be aa 01 c4 3d f0 f6 e4 9a 6f |.A.6H.....=....o| +00000320 b4 b2 83 c5 67 cf 1c 1c 20 4f 91 47 07 16 03 03 |....g... O.G....| +00000330 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| +00000340 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| +00000350 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| +00000360 03 02 02 02 04 02 05 02 06 02 00 00 16 03 03 00 |................| +00000370 04 0e 00 00 00 |.....| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -109,31 +109,31 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 a4 51 a5 95 f6 bd c2 |..........Q.....| -00000240 fa 0f c2 db 0b 3b 30 6c 2a b0 9c a2 9b d3 e4 cb |.....;0l*.......| -00000250 e0 30 13 30 cb 6b 0f b6 3f a4 a4 c4 72 83 8f 13 |.0.0.k..?...r...| -00000260 8f 9d 42 ec ff 9c e2 d8 b1 97 98 52 0b 8c 92 77 |..B........R...w| -00000270 ef 74 11 52 58 ef 93 1e e8 eb dd 08 b7 d6 32 e8 |.t.RX.........2.| -00000280 e8 39 49 b0 57 15 4b f7 4b 4a 35 14 d3 4d a3 e8 |.9I.W.K.KJ5..M..| -00000290 26 db 76 4f 1d 74 b1 32 d7 dc b1 50 e6 d7 65 c1 |&.vO.t.2...P..e.| -000002a0 5d 5e 31 af 33 96 9d a1 af ab f2 20 d6 96 e6 b8 |]^1.3...... ....| -000002b0 33 82 ad e8 10 61 79 82 5d 14 03 03 00 01 01 16 |3....ay.].......| +00000230 88 0f 00 00 84 08 04 00 80 7d fc b7 17 32 a9 aa |.........}...2..| +00000240 21 70 dc 23 a7 f4 87 fe d2 f1 dd 15 48 56 ea 3a |!p.#........HV.:| +00000250 a2 fb 76 0e 5b f7 ac 13 35 0b 4a 7f f7 b6 71 db |..v.[...5.J...q.| +00000260 77 55 bd de 2a 52 b0 ae 6e 9c 8f 65 2e 8f cf 05 |wU..*R..n..e....| +00000270 18 4d f0 c4 1c 78 5f 62 09 64 28 22 06 1c 9a 03 |.M...x_b.d("....| +00000280 eb 4f b8 c3 7d 5c 37 b6 a5 d0 2c fa 08 31 ed 3a |.O..}\7...,..1.:| +00000290 a6 e9 c2 04 5f 0f 31 54 38 ee 07 ba 0a 69 ab df |...._.1T8....i..| +000002a0 ec f5 d0 e1 cb 17 af 48 84 7c 58 8f 77 32 bd d7 |.......H.|X.w2..| +000002b0 7e ac 3f be f6 ae 0c be 6f 14 03 03 00 01 01 16 |~.?.....o.......| 000002c0 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 00 |...@............| -000002d0 00 00 00 00 18 5f 22 bb 66 7d 5d 88 02 64 2c ca |....._".f}]..d,.| -000002e0 f5 db 73 9b cc 09 f7 40 01 33 56 a5 b8 fe cf 19 |..s....@.3V.....| -000002f0 05 05 21 95 60 a4 13 98 e6 50 56 48 e8 af ae 3e |..!.`....PVH...>| -00000300 3f 65 18 91 |?e..| +000002d0 00 00 00 00 e3 19 d0 4e e8 da b9 20 a0 d9 3a ff |.......N... ..:.| +000002e0 7c a6 f6 a5 c9 fe 61 fe 86 62 ec 2a fd de 7c ec ||.....a..b.*..|.| +000002f0 be 38 fa 59 a8 12 28 cc 4f 43 fa 15 fd 49 f7 db |.8.Y..(.OC...I..| +00000300 83 9f 84 cc |....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 08 9b ad f7 9e |..........@.....| -00000010 ca fe e2 47 e6 39 14 10 13 b4 56 c1 74 e9 2a 18 |...G.9....V.t.*.| -00000020 da 4e 59 d5 d6 12 74 53 f5 1e 6c 22 69 8c e7 03 |.NY...tS..l"i...| -00000030 54 80 2c 92 fd 77 62 a3 83 b6 ef ec ee 14 c8 aa |T.,..wb.........| -00000040 a0 ec f2 b9 74 f3 99 24 c6 a2 04 |....t..$...| +00000000 14 03 03 00 01 01 16 03 03 00 40 2e 4b 13 61 0e |..........@.K.a.| +00000010 b0 a0 61 ce b4 04 9f 8b 0b 75 33 f6 93 1b 00 8f |..a......u3.....| +00000020 ec 28 fc d8 d4 d3 8c 8d 66 32 40 8f 38 4f b4 01 |.(......f2@.8O..| +00000030 65 35 9d ab db 7a 9b be c0 57 7c 1b 73 ee 99 de |e5...z...W|.s...| +00000040 4e 5c 42 03 38 d2 59 67 c8 09 d0 |N\B.8.Yg...| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 3b ec fa d0 40 88 58 02 dd 02 c8 |.....;...@.X....| -00000020 b7 72 da 59 4e f2 52 50 3e f6 9b 10 04 07 40 b1 |.r.YN.RP>.....@.| -00000030 a8 20 69 19 af 15 03 03 00 30 00 00 00 00 00 00 |. i......0......| -00000040 00 00 00 00 00 00 00 00 00 00 a3 15 6e 62 3e c0 |............nb>.| -00000050 1a 9e 02 e3 b1 3b d1 14 43 47 8b f2 59 aa 8e dc |.....;..CG..Y...| -00000060 36 f4 a3 7c 28 c3 1b 6c 62 cc |6..|(..lb.| +00000010 00 00 00 00 00 c0 47 e7 58 eb 46 e4 6d 05 af 84 |......G.X.F.m...| +00000020 4f 77 c6 22 28 92 58 3a 2d 64 d6 6a 73 19 f5 c3 |Ow."(.X:-d.js...| +00000030 6e 31 f5 82 90 15 03 03 00 30 00 00 00 00 00 00 |n1.......0......| +00000040 00 00 00 00 00 00 00 00 00 00 2d 63 52 df 2c 6f |..........-cR.,o| +00000050 f2 0b 11 1a 39 ca 1a 87 7e 45 26 43 d8 78 93 a9 |....9...~E&C.x..| +00000060 da a0 7c 26 87 49 31 2a 3e 42 |..|&.I1*>B| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA index 83c71609f6e..ac6c834bb7f 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 b8 f9 07 f6 69 |....Y...U......i| -00000010 4f 62 10 8d e0 fa 1b 29 85 b8 45 51 94 5d f3 58 |Ob.....)..EQ.].X| -00000020 7f 92 49 80 e6 f2 cb ff e0 9a 4a 20 59 22 ff 38 |..I.......J Y".8| -00000030 7b 65 50 10 a0 a5 7c cb 66 eb 70 49 f0 b9 55 aa |{eP...|.f.pI..U.| -00000040 4c da b0 d0 af 0d 95 52 54 46 15 f0 c0 2f 00 00 |L......RTF.../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 e2 9a e1 34 0d |....Y...U.....4.| +00000010 fb 94 84 1a eb 02 cc f3 28 52 a6 43 2b c9 4a 97 |........(R.C+.J.| +00000020 df 73 e7 d2 71 2c 77 33 8c 69 14 20 69 03 8a 58 |.s..q,w3.i. i..X| +00000030 4d 93 dd 29 dd 12 04 4d 85 22 98 aa 75 b2 a4 69 |M..)...M."..u..i| +00000040 f0 ca 9e 68 87 82 83 c3 3e c9 c4 ba c0 2f 00 00 |...h....>..../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 cd 52 34 ad 53 3a 3e |........ .R4.S:>| -000002d0 35 b0 a3 a2 35 f3 34 8e a0 ca 1c f1 ce 5f 0d 48 |5...5.4......_.H| -000002e0 61 b9 2f 99 ae 2e eb a6 34 08 04 00 80 b7 d6 1c |a./.....4.......| -000002f0 bd 0e 0b ae 32 4b 8a ec c9 c7 d7 24 10 62 24 76 |....2K.....$.b$v| -00000300 5e 52 62 71 58 fe 51 b4 57 26 ce 20 13 6d 60 db |^RbqX.Q.W&. .m`.| -00000310 55 77 99 06 88 bb 4b 13 7d 19 91 12 51 fe 43 d3 |Uw....K.}...Q.C.| -00000320 d1 ce 03 19 06 50 c4 a0 fa fc 6f ac 54 0d 92 b7 |.....P....o.T...| -00000330 43 2b 01 be 0a a2 b7 85 a2 02 01 35 c1 f2 52 71 |C+.........5..Rq| -00000340 48 e4 20 68 ea cb a5 9d ce e5 6b 22 7e 7e 2c 69 |H. h......k"~~,i| -00000350 38 7d 61 70 0d 88 53 41 bb 66 b8 3e b7 ef d1 ff |8}ap..SA.f.>....| -00000360 24 17 b6 15 c4 42 ec 48 39 aa 40 b6 8a 16 03 03 |$....B.H9.@.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 e0 3c d0 b9 11 a0 6c |........ .<....l| +000002d0 7f 27 de d6 7b 4f 8d c6 fc 41 5d 10 cc dd ab 1d |.'..{O...A].....| +000002e0 a8 ed af 41 c0 06 c7 e2 2e 08 04 00 80 61 6b 9c |...A.........ak.| +000002f0 d9 48 e9 cb 65 7f ed 76 36 76 ee 71 55 39 0a 3f |.H..e..v6v.qU9.?| +00000300 33 fb c6 4c 20 c2 49 8e 9f 82 f2 b2 ff 3a 45 ef |3..L .I......:E.| +00000310 e5 66 a3 cb f4 4d 6f 51 f9 25 e4 d5 49 c9 f7 ce |.f...MoQ.%..I...| +00000320 20 d2 bb 41 c0 bd be 5e ca 6f cc 25 ca 7b 42 43 | ..A...^.o.%.{BC| +00000330 3c c1 02 73 66 84 0a a5 07 b6 b5 d4 74 13 d0 03 |<..sf.......t...| +00000340 87 27 45 67 9a 6b 02 0e 5f 4e 92 8f 32 58 9a 9a |.'Eg.k.._N..2X..| +00000350 6b 19 2a eb cd e7 6b 28 59 b5 e8 dc b2 38 4c 1b |k.*...k(Y....8L.| +00000360 36 d7 8f a5 da 4e ff 1d 2b f6 6a 73 8d 16 03 03 |6....N..+.js....| 00000370 00 3a 0d 00 00 36 03 01 02 40 00 2e 04 03 05 03 |.:...6...@......| 00000380 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000390 08 06 04 01 05 01 06 01 03 03 02 03 03 01 02 01 |................| @@ -113,26 +113,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 08 04 00 80 b4 f9 6c 64 3a 36 c3 |...........ld:6.| -00000240 60 04 8a 72 c7 fa 95 27 50 6f 55 35 56 a6 9b 48 |`..r...'PoU5V..H| -00000250 43 53 d6 18 08 f3 9a 94 d2 b8 53 48 08 cc 4a 2c |CS........SH..J,| -00000260 a7 d6 83 41 63 27 ee f6 8f 3a de cf 4e b7 bf 6f |...Ac'...:..N..o| -00000270 11 cd 28 6f 70 6d 2f ff 60 6d 9a 44 fc 68 88 d0 |..(opm/.`m.D.h..| -00000280 ad 74 69 b0 79 7d f8 f4 5e 82 b2 f2 19 20 03 c2 |.ti.y}..^.... ..| -00000290 23 95 a8 e8 fe 5f e9 66 67 01 4f 8e a6 63 5b 04 |#...._.fg.O..c[.| -000002a0 63 b9 ae db 14 e2 9c 9c f0 ad 65 ad 0b f7 80 d4 |c.........e.....| -000002b0 9c c6 2a 91 6f a1 e4 2e 3b 14 03 03 00 01 01 16 |..*.o...;.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 36 aa 8c 28 |...(........6..(| -000002d0 f7 da dd 30 43 8b c6 9b 99 cf e3 af 56 ab f6 6d |...0C.......V..m| -000002e0 34 ac 05 b3 34 c7 88 2b 7f 97 f0 9f |4...4..+....| +00000230 88 0f 00 00 84 08 04 00 80 03 bd ea 7f 2e bd c2 |................| +00000240 5e 4f 2e a5 78 60 9b 9e e5 cb 73 d3 5e 5e c9 b9 |^O..x`....s.^^..| +00000250 10 89 ef ae 40 46 c0 0b d0 ce 00 c4 ac 48 e9 67 |....@F.......H.g| +00000260 ba 2a 83 8c a8 14 2e 52 01 14 36 b2 aa f4 c9 ca |.*.....R..6.....| +00000270 e1 3b fb 85 bb ad 54 eb ab 3e b7 00 af 13 71 ce |.;....T..>....q.| +00000280 1b b9 04 b7 c4 15 a9 f5 d2 41 16 60 ea ba 3b c1 |.........A.`..;.| +00000290 04 fb f9 3f 15 0a 5f 09 31 19 59 b0 69 98 c3 70 |...?.._.1.Y.i..p| +000002a0 9d fc 5f 67 75 41 b2 d9 ab bb 0f 0c 14 b6 2a dd |.._guA........*.| +000002b0 e8 35 3e 3a 78 38 16 dd 16 14 03 03 00 01 01 16 |.5>:x8..........| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 1e 0f ef 34 |...(...........4| +000002d0 86 04 b7 77 c4 e3 b8 3d 5c f4 16 13 f3 08 52 1e |...w...=\.....R.| +000002e0 3c 37 60 b1 c7 52 ef 10 96 4a c1 8d |<7`..R...J..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 44 42 21 cb 3d |..........(DB!.=| -00000010 67 78 23 22 e5 5c 86 15 83 e7 b3 f6 5e e6 10 53 |gx#".\......^..S| -00000020 0c b2 ec 10 4d 4e 0a d5 1a 61 53 8e 00 30 11 a1 |....MN...aS..0..| -00000030 9c e8 a0 |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 90 76 7b bf 93 |..........(.v{..| +00000010 64 8b 3c 80 3e fc 25 ee 86 40 f1 86 de 6e 50 2c |d.<.>.%..@...nP,| +00000020 45 a4 b8 64 78 49 60 45 77 b1 16 17 e6 48 7b 4c |E..dxI`Ew....H{L| +00000030 39 b6 9d |9..| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 b7 ab af |................| -00000010 8e 5b f6 e5 7d d7 7c ee b2 81 9a 8b de 3c f4 ff |.[..}.|......<..| -00000020 a2 3f d0 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.?..............| -00000030 cb ec 80 98 12 a9 6e 95 09 f4 ea 6e e1 f8 2d 73 |......n....n..-s| -00000040 88 40 |.@| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 b9 b2 d0 |................| +00000010 84 c6 45 bc 22 f0 74 d6 e5 29 2f eb 8c 43 04 a3 |..E.".t..)/..C..| +00000020 cb 81 da 15 03 03 00 1a 00 00 00 00 00 00 00 02 |................| +00000030 7b c6 f6 61 12 57 7c 59 06 8b 70 ef ba 92 72 83 |{..a.W|Y..p...r.| +00000040 6b 75 |ku| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 index a3dba79ea06..0cbc2ee7f42 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPKCS1v15 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 9d 98 61 9c 05 |....Y...U....a..| -00000010 78 d8 8c c2 4c 51 9c aa 23 04 c3 7e 6b 93 a8 f2 |x...LQ..#..~k...| -00000020 fc f7 6d 8b 61 4e a4 7a 1a 1a dd 20 d9 3e de a3 |..m.aN.z... .>..| -00000030 4a 50 f9 a4 30 a0 fd df a7 5a 0a f5 0d 32 51 5f |JP..0....Z...2Q_| -00000040 c4 81 09 b4 08 bb 76 5a 8e 6f 62 fa c0 2f 00 00 |......vZ.ob../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 55 bb e3 16 65 |....Y...U..U...e| +00000010 a0 9d d2 17 44 3a e7 74 ed 74 6e 82 b6 44 cf c9 |....D:.t.tn..D..| +00000020 61 a5 10 2a f8 ae 24 6a 0b 7a 8f 20 8d fa 31 fc |a..*..$j.z. ..1.| +00000030 7c 01 30 b9 68 e9 db ff 14 af 13 94 03 f5 17 66 ||.0.h..........f| +00000040 e0 6d c9 00 d9 3f cd c2 63 95 95 fe c0 2f 00 00 |.m...?..c..../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,17 +61,17 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 b7 6a 5e 20 7b 14 92 |........ .j^ {..| -000002d0 0a 27 87 81 ed 0a c6 f8 21 48 3d ff 94 db d3 9b |.'......!H=.....| -000002e0 af 1c df 60 bc 5d b6 14 75 04 01 00 80 3c ab 00 |...`.]..u....<..| -000002f0 c1 d9 5c 8b 7d 33 29 90 11 b5 9f 92 0d d9 08 01 |..\.}3).........| -00000300 17 4e 2b 0a f1 28 44 a7 78 19 9a cf 04 07 93 95 |.N+..(D.x.......| -00000310 cf c1 15 94 ac 49 58 83 7e 15 41 b5 63 5f 1f 36 |.....IX.~.A.c_.6| -00000320 dc df fe 77 cd 43 4e f7 e1 c9 0d 6e 3f 61 fd c4 |...w.CN....n?a..| -00000330 b1 b1 e1 e6 dd bc e7 ca 55 24 0d c7 75 bc c2 f6 |........U$..u...| -00000340 96 6a b1 8a 1b cf 2e 23 02 73 cc 4c b8 53 3a ec |.j.....#.s.L.S:.| -00000350 55 41 cd d8 d1 96 57 ce 5a 29 41 aa 29 a9 b1 b4 |UA....W.Z)A.)...| -00000360 37 a8 db 4f e4 c5 db 46 d3 28 5b dc aa 16 03 03 |7..O...F.([.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 88 7f ad b9 9d 2a 1a |........ .....*.| +000002d0 30 bb 50 6a eb e4 94 94 4b b4 02 a7 22 cb 7b b5 |0.Pj....K...".{.| +000002e0 8d 1d b1 19 01 ad 58 08 39 04 01 00 80 99 2f 4e |......X.9...../N| +000002f0 80 f5 72 20 3b f2 31 d2 89 95 e0 5c 15 73 de 12 |..r ;.1....\.s..| +00000300 e2 c8 a0 0e 74 f2 5a 45 a5 ff b5 2d 92 bc 7f 22 |....t.ZE...-..."| +00000310 bf 88 d5 3b 42 f8 1b 77 90 7e ca 3d 4a 5f 89 4c |...;B..w.~.=J_.L| +00000320 78 2b 00 fa af 3f 36 57 95 fe 33 94 7f 0e 3b 9d |x+...?6W..3...;.| +00000330 58 ca 1c 03 c6 ef 0c 07 a0 cf ff cd 58 dd 1f de |X...........X...| +00000340 08 29 36 49 ce dc da d2 75 b7 e6 70 02 18 80 97 |.)6I....u..p....| +00000350 8b fe 8c 8c fd b5 e6 36 b2 76 0f e2 3f 02 bc c8 |.......6.v..?...| +00000360 eb 9e c8 fa 44 58 d8 4d b2 f5 7d 25 01 16 03 03 |....DX.M..}%....| 00000370 00 0c 0d 00 00 08 01 01 00 02 04 01 00 00 16 03 |................| 00000380 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) @@ -110,26 +110,26 @@ 00000200 e5 35 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 |.5....%...! /.}.| 00000210 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 |G.bC.(.._.).0...| 00000220 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 16 03 03 00 |......._X.;t....| -00000230 88 0f 00 00 84 04 01 00 80 82 01 df dd 61 c1 d7 |.............a..| -00000240 4c 07 4f c2 52 6b 0f ab 0e 41 ad db 61 63 e1 eb |L.O.Rk...A..ac..| -00000250 d9 80 ee 80 f5 85 5e 0a b8 bd 39 80 68 ca 20 5c |......^...9.h. \| -00000260 33 7f eb 47 41 56 a9 4a 6f 13 4f 87 a7 6d 17 4e |3..GAV.Jo.O..m.N| -00000270 a8 e3 06 8d 9e d2 1e 0b 98 7c 1c 6d ca 6a e2 de |.........|.m.j..| -00000280 c2 97 0d 56 76 2d 66 41 76 81 ee e3 f3 36 f7 92 |...Vv-fAv....6..| -00000290 28 0e cd 7d 99 14 54 4f ca 8e 71 fa 9e 9a b5 82 |(..}..TO..q.....| -000002a0 79 fb ef 54 f0 ef 9b ae 71 e3 31 ef b5 32 9a 40 |y..T....q.1..2.@| -000002b0 a5 53 5e ef 95 1a 2d 94 61 14 03 03 00 01 01 16 |.S^...-.a.......| -000002c0 03 03 00 28 00 00 00 00 00 00 00 00 43 63 15 52 |...(........Cc.R| -000002d0 d7 3d 6d f8 7e 78 d2 ab b0 da 06 04 f7 19 07 1d |.=m.~x..........| -000002e0 6a 9c 7b 9c f5 e2 2a c9 90 f3 db bf |j.{...*.....| +00000230 88 0f 00 00 84 04 01 00 80 52 ae 04 3c 1c 34 2d |.........R..<.4-| +00000240 f6 8b c6 f6 6b 48 67 08 e7 96 03 2e 1c 5d 99 c3 |....kHg......]..| +00000250 8e b4 ee 4c 7f 73 ab 56 78 19 28 40 df 7a 96 bd |...L.s.Vx.(@.z..| +00000260 e5 5f 7a f3 7a 1f 5a fe c8 1b d8 ae 95 b4 8c 50 |._z.z.Z........P| +00000270 89 ca f1 d3 84 18 07 d7 4f ab 77 e0 d9 ce a5 87 |........O.w.....| +00000280 07 1f 61 c7 03 d4 67 d7 e3 96 65 ae ce ec 5c b7 |..a...g...e...\.| +00000290 8b 56 5c 30 5f 47 59 d2 5b 24 ae 8e 7d 17 61 6b |.V\0_GY.[$..}.ak| +000002a0 0b 3a 52 96 0b 10 e4 f8 20 c1 d3 76 14 ac 45 c5 |.:R..... ..v..E.| +000002b0 ae f0 95 62 d8 3f f5 5c 5f 14 03 03 00 01 01 16 |...b.?.\_.......| +000002c0 03 03 00 28 00 00 00 00 00 00 00 00 b6 b0 2a f0 |...(..........*.| +000002d0 2a 27 bc 1c e1 34 59 ff 88 76 61 7d c7 de 36 cc |*'...4Y..va}..6.| +000002e0 1e 11 99 a0 1f 5e 2b 28 86 bf 9e 1b |.....^+(....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 cc 59 85 af a8 |..........(.Y...| -00000010 6c c7 e1 a4 8a 3e 84 78 bd c3 07 f8 83 ce 0e 21 |l....>.x.......!| -00000020 ab 8b 52 04 ce 8f 27 4e f4 fb 6f 49 89 89 51 0f |..R...'N..oI..Q.| -00000030 8a ae 3b |..;| +00000000 14 03 03 00 01 01 16 03 03 00 28 83 8d 2f 30 0a |..........(../0.| +00000010 f4 74 ff 13 16 80 a7 26 4c 25 90 75 3e 23 e3 f6 |.t.....&L%.u>#..| +00000020 eb 01 76 fe 0a 71 e7 41 02 45 da 57 3a 9e 67 00 |..v..q.A.E.W:.g.| +00000030 89 84 7d |..}| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 10 8d 32 |...............2| -00000010 f5 e0 eb 9f 61 e3 51 b0 86 48 1e f7 3d ee 5e 6e |....a.Q..H..=.^n| -00000020 d4 fd 67 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..g.............| -00000030 88 91 86 a2 ff e3 2e be 41 4c 09 fd 32 13 12 af |........AL..2...| -00000040 1c c8 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 1d 82 29 |...............)| +00000010 b4 98 92 37 38 52 35 2c 50 3b 42 f0 3e d9 f8 44 |...78R5,P;B.>..D| +00000020 b6 d3 2d 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..-.............| +00000030 d0 86 d3 eb a6 d1 0f b5 22 c5 ee b0 4d 76 9f 40 |........"...Mv.@| +00000040 7c 8b ||.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS index 9ecff0e15b9..410dd3e35e9 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS +++ b/src/crypto/tls/testdata/Client-TLSv12-ClientCert-RSA-RSAPSS @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 63 76 88 dc ea |....Y...U..cv...| -00000010 c8 fd b2 05 8b 3d 04 c3 a8 37 08 58 17 94 28 b5 |.....=...7.X..(.| -00000020 21 22 b7 42 6b b9 c5 a6 72 b2 82 20 3a 2c 2a 25 |!".Bk...r.. :,*%| -00000030 f8 77 af ec 94 cf 2e 44 59 f0 5a ec da 8b 4f d1 |.w.....DY.Z...O.| -00000040 8c 6a 07 2e e2 21 f3 4f 70 76 c1 a6 c0 2f 00 00 |.j...!.Opv.../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 39 b0 78 c5 b4 |....Y...U..9.x..| +00000010 32 16 6f 41 13 05 be c5 c6 04 ea 2a 11 72 d3 1f |2.oA.......*.r..| +00000020 6e bf 89 89 48 20 0e 1d 9a 44 77 20 e8 5b a7 6e |n...H ...Dw .[.n| +00000030 7a fb 95 52 09 ec a7 95 a5 2c 52 d6 7e 28 d8 4e |z..R.....,R.~(.N| +00000040 96 95 16 c8 e7 5e af 80 b0 9b 9a 22 c0 2f 00 00 |.....^....."./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 66 0b 00 02 62 00 02 5f 00 02 5c 30 82 02 |..f...b.._..\0..| 00000070 58 30 82 01 8d a0 03 02 01 02 02 11 00 f2 99 26 |X0.............&| @@ -62,17 +62,17 @@ 000002a0 11 89 66 79 d1 8e 88 0e 0b a0 9e 30 2a c0 67 ef |..fy.......0*.g.| 000002b0 ca 46 02 88 e9 53 81 22 69 22 97 ad 80 93 d4 f7 |.F...S."i"......| 000002c0 dd 70 14 24 d7 70 0a 46 a1 16 03 03 00 ac 0c 00 |.p.$.p.F........| -000002d0 00 a8 03 00 1d 20 be f7 77 2d b2 c7 55 5e 45 c7 |..... ..w-..U^E.| -000002e0 c0 24 b2 b0 0f 7b 4d 6e eb 28 16 7c f5 f9 86 0c |.$...{Mn.(.|....| -000002f0 be 24 19 68 86 1b 08 04 00 80 6c c4 13 18 0a 9a |.$.h......l.....| -00000300 f1 94 b8 c6 eb 8e b4 e0 7f 55 d8 a5 ed 83 e1 6c |.........U.....l| -00000310 d3 5d 3a ac fa 90 53 8c 6c 2a b5 17 3b 48 20 f2 |.]:...S.l*..;H .| -00000320 32 0f 76 79 52 d9 cc 73 3b 3c de 50 3b 4c 42 bd |2.vyR..s;<.P;LB.| -00000330 6a 24 0e 7f ef fc bd 2f 4e dd 86 f7 18 85 78 9b |j$...../N.....x.| -00000340 d7 8e dd fe fb b2 21 87 8e 7e 1e 8b 07 e5 99 ec |......!..~......| -00000350 2f c4 a9 5d 52 d0 d3 fb 14 24 91 16 f3 7c a7 e0 |/..]R....$...|..| -00000360 e4 f4 c7 22 85 dd ba 2a 4b 45 47 5f 4e 8b 45 f9 |..."...*KEG_N.E.| -00000370 cd 2a ef 5b f0 27 bd f3 af 5b 16 03 03 00 0c 0d |.*.[.'...[......| +000002d0 00 a8 03 00 1d 20 52 09 b4 59 bd 25 26 4d bc a6 |..... R..Y.%&M..| +000002e0 fb a8 af 46 98 9b 35 ae ed 4e 57 9f 80 7f 2d 4c |...F..5..NW...-L| +000002f0 09 ad 42 1b 0d 09 08 04 00 80 7c e2 4b 5e dc 64 |..B.......|.K^.d| +00000300 48 97 9b 99 1f 17 96 35 37 b2 0a 48 e2 67 7b 11 |H......57..H.g{.| +00000310 4a d0 dd e9 99 7f 25 4a 69 84 b3 70 9a 8c 05 17 |J.....%Ji..p....| +00000320 0a 6f af 4b 74 e9 e5 74 85 48 b6 78 69 f5 b5 00 |.o.Kt..t.H.xi...| +00000330 80 d9 b9 00 77 51 21 8f 96 fd 26 74 9f cc db 07 |....wQ!...&t....| +00000340 31 a4 4e f2 60 33 99 9f b3 18 8b 5b be 94 44 aa |1.N.`3.....[..D.| +00000350 30 91 d9 17 e4 dc 1f 42 9f d2 bc ab 36 6a 5d 20 |0......B....6j] | +00000360 5a 5a 6f 21 2b 41 91 af 5e 39 08 54 68 dc c7 39 |ZZo!+A..^9.Th..9| +00000370 0c ac ff ed 88 9b 09 c8 3e 23 16 03 03 00 0c 0d |........>#......| 00000380 00 00 08 01 01 00 02 08 04 00 00 16 03 03 00 04 |................| 00000390 0e 00 00 00 |....| >>> Flow 3 (client to server) @@ -118,26 +118,26 @@ 00000270 10 00 00 21 20 2f e5 7d a3 47 cd 62 43 15 28 da |...! /.}.G.bC.(.| 00000280 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| 00000290 5f 58 cb 3b 74 16 03 03 00 88 0f 00 00 84 08 04 |_X.;t...........| -000002a0 00 80 07 87 a5 a0 57 80 c4 a9 12 24 72 21 91 d8 |......W....$r!..| -000002b0 e8 f3 30 f4 06 a8 9c a3 37 d3 c8 d9 1b 12 56 31 |..0.....7.....V1| -000002c0 c9 22 63 c0 2d de 5e b0 71 55 d7 26 5e a5 e9 cf |."c.-.^.qU.&^...| -000002d0 ce 8d d1 0e 1e 4e 96 87 63 47 92 4b 24 cc 1f fd |.....N..cG.K$...| -000002e0 44 e2 76 79 78 92 18 31 8a bc 81 2c 22 4b cb af |D.vyx..1...,"K..| -000002f0 26 35 6f fe 6a 56 9f 6f 84 1d 28 6a 51 ff 9a 8f |&5o.jV.o..(jQ...| -00000300 57 c8 c4 0a e9 21 b2 01 5c ad 30 4b 43 4e 2e e9 |W....!..\.0KCN..| -00000310 d6 18 5e c8 c1 d4 79 1f e1 5a ca fc c7 51 8f ad |..^...y..Z...Q..| -00000320 d1 17 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| -00000330 00 00 00 00 00 69 98 5b ef 76 ca 59 86 af 37 39 |.....i.[.v.Y..79| -00000340 33 c6 b4 f2 73 e5 bc 70 a5 07 2e e2 6c 49 b1 a3 |3...s..p....lI..| -00000350 ca 0c 11 6a 7d |...j}| +000002a0 00 80 8f 53 4a 89 09 a1 b4 4a f1 d6 b8 9e 00 9c |...SJ....J......| +000002b0 87 74 4d 70 46 de 8d 89 a8 68 68 9d a3 2d d9 54 |.tMpF....hh..-.T| +000002c0 43 d4 f0 67 0a a7 44 39 4e 2c 92 fe ba 12 21 f9 |C..g..D9N,....!.| +000002d0 2d e0 3a e4 2a b0 72 93 0f eb 27 43 3b b2 47 d1 |-.:.*.r...'C;.G.| +000002e0 49 9f e1 79 8f f8 51 c3 51 6b 45 3b 8d 25 64 ad |I..y..Q.QkE;.%d.| +000002f0 5c f2 ca f1 89 dd ab 55 f2 99 5a 7d f2 5b b2 08 |\......U..Z}.[..| +00000300 22 83 55 ff 6e 78 08 9a 7b 15 fc fc cf f5 18 1c |".U.nx..{.......| +00000310 ba 14 eb 5d 6b 35 08 95 5d 60 12 12 9c 92 d1 f4 |...]k5..]`......| +00000320 9b c0 14 03 03 00 01 01 16 03 03 00 28 00 00 00 |............(...| +00000330 00 00 00 00 00 4a 07 ef fb b0 9b 52 05 13 11 de |.....J.....R....| +00000340 21 46 4a d9 18 c3 c1 10 97 78 d1 e6 16 e9 90 a2 |!FJ......x......| +00000350 42 08 11 eb 07 |B....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 c8 ad be 26 3a |..........(...&:| -00000010 d9 9d 7e b4 04 b6 87 e2 3d 53 02 0e 7c 1b e3 cc |..~.....=S..|...| -00000020 6d 10 b7 27 ec a6 49 57 61 6d 11 fd a2 4c a5 bf |m..'..IWam...L..| -00000030 8b ba c5 |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 21 7c c3 2b 12 |..........(!|.+.| +00000010 37 a3 8d 5c 86 04 31 dd da d9 65 59 e9 2e bd 88 |7..\..1...eY....| +00000020 6a 83 9c f2 80 e7 4b 58 b2 92 c2 64 38 63 66 f2 |j.....KX...d8cf.| +00000030 54 c5 16 |T..| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 57 03 8c |.............W..| -00000010 e1 d6 1c f6 69 a1 83 9c 42 95 c8 3c 1f 2e e1 c5 |....i...B..<....| -00000020 ab 39 58 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.9X.............| -00000030 80 0d 02 95 2c 70 90 12 21 37 9c 13 85 87 ff fd |....,p..!7......| -00000040 e5 41 |.A| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 5c bc af |.............\..| +00000010 d6 61 03 a4 fe dd f6 0f 21 f7 57 82 bf 91 d4 1d |.a......!.W.....| +00000020 7a fd be 15 03 03 00 1a 00 00 00 00 00 00 00 02 |z...............| +00000030 e6 e4 df c9 1e 71 be 1e f5 c8 c3 15 68 1a 87 f0 |.....q......h...| +00000040 70 45 |pE| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES index fb054d9a441..46f690e823a 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 3b d5 13 09 f5 |....Y...U..;....| -00000010 75 d3 70 90 48 e0 a0 12 c6 47 1d d7 d4 18 e4 f4 |u.p.H....G......| -00000020 76 dc 72 7e 6a af 90 2f 3d 30 88 20 fe 34 42 40 |v.r~j../=0. .4B@| -00000030 2d 3d 38 3a d4 c4 d4 04 fb d9 c5 7f d1 44 62 66 |-=8:.........Dbf| -00000040 1e e0 9d 64 e5 3b 4b 00 b8 33 4a 7e c0 09 00 00 |...d.;K..3J~....| +00000000 16 03 03 00 59 02 00 00 55 03 03 37 82 24 98 f9 |....Y...U..7.$..| +00000010 5d aa 41 32 e5 67 0f 8e d5 11 09 b6 98 06 8d 6a |].A2.g.........j| +00000020 96 17 cd 3b 66 40 ef 99 c6 d6 52 20 73 6f 80 f5 |...;f@....R so..| +00000030 10 8b 11 23 4e 6b 0d c3 ea e0 da 02 be fc 11 27 |...#Nk.........'| +00000040 8a b0 6c 46 71 56 44 69 50 ec 4e f5 c0 09 00 00 |..lFqVDiP.N.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,39 +56,39 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 10 da |*............ ..| -00000280 5e e3 b8 df a4 ac 67 4a 95 b1 fa 4d 99 f0 8a d4 |^.....gJ...M....| -00000290 0d d6 ff 9e 2d 5c 43 8a 98 44 32 03 35 32 04 03 |....-\C..D2.52..| -000002a0 00 8a 30 81 87 02 42 00 fb ba d2 ba 75 d9 67 89 |..0...B.....u.g.| -000002b0 04 03 23 08 45 8c 67 c6 c6 1e d5 0f ea 74 1d c4 |..#.E.g......t..| -000002c0 80 2f 2a f6 9e ef f5 26 50 0d 7e 49 cd c7 00 43 |./*....&P.~I...C| -000002d0 3b bb 3e 6a fa fa 0f ab a6 c2 6f 04 93 23 26 79 |;.>j......o..#&y| -000002e0 1f df 2b 35 22 a9 ac 77 45 02 41 79 5a 34 10 c0 |..+5"..wE.AyZ4..| -000002f0 06 10 e5 31 4b f0 f3 3a f5 1d 67 71 b6 6a 94 f0 |...1K..:..gq.j..| -00000300 e6 6a 69 1c 1d d9 1a b9 4d 54 84 7c 94 61 a1 bf |.ji.....MT.|.a..| -00000310 f0 5b 0e f6 02 93 16 16 a2 ce 77 ac f5 74 f4 86 |.[........w..t..| -00000320 cf 1e d1 54 4d 9f dc 66 dc c2 0a 4e 16 03 03 00 |...TM..f...N....| +00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 d1 6c |*............ .l| +00000280 75 ba f5 41 b8 0e 92 fe cb 0a 7e 8a fc 5a a6 9f |u..A......~..Z..| +00000290 a9 3e b9 db 37 86 5b 16 36 9b eb cf ee 69 04 03 |.>..7.[.6....i..| +000002a0 00 8a 30 81 87 02 41 71 50 84 52 af ae 91 63 8d |..0...AqP.R...c.| +000002b0 ae bd 7c b6 b8 ab f4 0d 89 39 dd 61 7d 0e 59 a6 |..|......9.a}.Y.| +000002c0 83 42 5a a2 06 16 4d 2d 17 08 b5 9a 91 a4 0c 95 |.BZ...M-........| +000002d0 d6 5f e5 e7 d9 93 9d 20 2a 9a a1 75 31 19 5e 82 |._..... *..u1.^.| +000002e0 6c 3a 26 36 05 bb 67 42 02 42 01 dc b6 d6 fe 34 |l:&6..gB.B.....4| +000002f0 2a 88 77 e2 9e 48 32 ca fe 99 72 56 47 4a c7 59 |*.w..H2...rVGJ.Y| +00000300 96 fa 5e 21 76 ce ba 75 11 d3 a4 a8 ca 68 f8 eb |..^!v..u.....h..| +00000310 8a 43 f6 d3 0e 0d 19 da 65 84 e3 12 be 3b c7 e2 |.C......e....;..| +00000320 48 c1 90 9d 96 7d ac 60 0d 01 5c e8 16 03 03 00 |H....}.`..\.....| 00000330 04 0e 00 00 00 |.....| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 60 d6 9c ac cb 87 fb 1a ba 76 74 |.....`........vt| -00000050 59 a5 9f f7 9f 38 ce 98 3c 8f 62 95 05 91 cb 01 |Y....8..<.b.....| -00000060 e4 c8 5e 5b bd ec 06 0a 08 26 8e fa 4e 60 11 69 |..^[.....&..N`.i| -00000070 9c 85 88 a7 7a |....z| +00000040 00 00 00 00 00 ce 1b 8e 84 37 1d 41 a0 84 93 88 |.........7.A....| +00000050 d1 ad 2c 7d 8e bf 77 20 42 3a be fe 45 29 c0 b3 |..,}..w B:..E)..| +00000060 7f a9 35 2b 4c 42 aa a2 8e 52 f1 a1 a0 69 fc 03 |..5+LB...R...i..| +00000070 7d 76 c5 c8 6f |}v..o| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 47 ab 83 2d 64 |..........@G..-d| -00000010 6c 08 fb e7 1f 16 b7 53 f1 eb e1 3f 7d f7 ae 70 |l......S...?}..p| -00000020 05 1c 7e 59 7d 0c 39 63 b4 16 ce 02 5e 33 93 3d |..~Y}.9c....^3.=| -00000030 aa 8e 87 0d 6c 8d 58 e3 87 7e 10 ff c8 1a b0 36 |....l.X..~.....6| -00000040 32 af f2 5b 48 1a 2f 67 e8 95 86 |2..[H./g...| +00000000 14 03 03 00 01 01 16 03 03 00 40 23 c9 a6 0e 9c |..........@#....| +00000010 16 db 20 e1 e1 46 70 c4 50 47 8d 19 0a 33 23 2a |.. ..Fp.PG...3#*| +00000020 5b f3 12 78 62 9e de fc bb 98 fd 0c ef 9a f0 6b |[..xb..........k| +00000030 29 06 8a 7a 97 39 c8 56 ca 19 b0 7e ab 67 5d 58 |)..z.9.V...~.g]X| +00000040 18 af 9c 40 77 3e 68 b3 3b 26 9a |...@w>h.;&.| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 3f a5 4b de 73 e0 c1 4f 3d 06 d6 |.....?.K.s..O=..| -00000020 97 f1 0e 7e 99 d4 b4 cf d0 d8 53 9d f6 e9 ae af |...~......S.....| -00000030 e5 8a 18 97 54 15 03 03 00 30 00 00 00 00 00 00 |....T....0......| -00000040 00 00 00 00 00 00 00 00 00 00 fd 8f 08 a5 91 d5 |................| -00000050 78 be 89 a5 fb 12 54 83 14 7e db be 98 13 60 1a |x.....T..~....`.| -00000060 ca ac 82 3d 19 1a 97 14 f4 54 |...=.....T| +00000010 00 00 00 00 00 2a a1 02 72 cd 55 e7 43 e6 16 53 |.....*..r.U.C..S| +00000020 88 91 3e e4 cc ae 4d e2 22 ab 78 59 5e 32 c5 40 |..>...M.".xY^2.@| +00000030 db 4a 2c 92 90 15 03 03 00 30 00 00 00 00 00 00 |.J,......0......| +00000040 00 00 00 00 00 00 00 00 00 00 b3 d0 dc f3 e9 b5 |................| +00000050 a1 36 b9 bf 44 5d ee 83 40 c5 21 f7 61 a0 b0 7d |.6..D]..@.!.a..}| +00000060 8c 0c 96 d6 51 a1 fe 08 9f 25 |....Q....%| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM index 4b6ebe8df3f..64305aea2e6 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES-GCM @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 d6 d7 bb 5f 97 |....Y...U....._.| -00000010 43 4a 19 de 10 c0 0f 65 21 f9 c2 ce 8a fa 91 45 |CJ.....e!......E| -00000020 4d 69 df 0d 4b 4b 1a 80 ff 5d 6d 20 1f f8 96 a7 |Mi..KK...]m ....| -00000030 d7 e3 24 79 73 f5 3a 78 4a 6b 51 48 41 59 c6 61 |..$ys.:xJkQHAY.a| -00000040 80 c4 94 05 14 c8 04 13 cc 23 d8 ef c0 2b 00 00 |.........#...+..| +00000000 16 03 03 00 59 02 00 00 55 03 03 1f da 30 68 6e |....Y...U....0hn| +00000010 dd b8 c1 80 c1 12 c0 16 35 3b 8e f7 12 e1 cb b3 |........5;......| +00000020 c1 1f dc 67 84 94 ff a8 f3 b6 ca 20 28 db 1e 50 |...g....... (..P| +00000030 48 32 39 1e 82 c5 0a 37 b3 c7 60 88 c6 4f b6 96 |H29....7..`..O..| +00000040 70 cf da 55 d3 3a 15 02 f2 ed 49 96 c0 2b 00 00 |p..U.:....I..+..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 1b b1 |*............ ..| -00000280 ac e5 82 46 59 44 56 0f c1 e3 3a d5 9a 0a 5f c0 |...FYDV...:..._.| -00000290 7c 9d a8 88 98 42 c2 d2 f1 b6 52 3d 58 6c 04 03 ||....B....R=Xl..| -000002a0 00 8b 30 81 88 02 42 00 80 bc 5a 0d da af 2a 59 |..0...B...Z...*Y| -000002b0 31 f4 fb ad 5f 3d 92 9e 87 cd 8b 79 13 a2 8c 9d |1..._=.....y....| -000002c0 80 73 f8 9d 74 f1 97 fe 07 26 12 70 c6 35 f2 48 |.s..t....&.p.5.H| -000002d0 88 35 5f c4 5f 28 89 91 e2 31 d1 ba fa 0a d4 6a |.5_._(...1.....j| -000002e0 e9 3e 55 e2 be 2c 37 46 5e 02 42 01 1b e2 49 17 |.>U..,7F^.B...I.| -000002f0 57 ed fc 6e 77 c8 7d c8 d7 68 de 3c 14 f9 16 a2 |W..nw.}..h.<....| -00000300 4f ce c8 c4 e2 a4 db b6 ee 44 35 33 e9 31 47 52 |O........D53.1GR| -00000310 45 f3 f5 ee 1f 2a b1 12 f9 f0 20 38 90 8f 38 35 |E....*.... 8..85| -00000320 eb 9d 47 e3 0b 01 80 80 81 da 55 d7 41 16 03 03 |..G.......U.A...| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 16 7e |*............ .~| +00000280 b8 86 3b 99 63 37 d3 60 8b a2 84 ed e1 2c 38 93 |..;.c7.`.....,8.| +00000290 b6 cc fb 59 95 f9 ef b0 89 da 1a 04 fa 71 04 03 |...Y.........q..| +000002a0 00 8b 30 81 88 02 42 01 3a db 0e ed 72 a0 d9 e6 |..0...B.:...r...| +000002b0 2a 81 ff a4 74 49 ed 02 6d ba c8 bd 82 9a 1e 83 |*...tI..m.......| +000002c0 32 3c 8b e3 4c dc 7f 77 a5 77 56 01 df 72 cb 00 |2<..L..w.wV..r..| +000002d0 c2 f8 bc 11 09 82 dd 2b 68 79 13 45 ff 54 99 df |.......+hy.E.T..| +000002e0 1d 15 25 78 53 eb f1 00 3a 02 42 01 55 67 57 ea |..%xS...:.B.UgW.| +000002f0 7c ce cb 76 69 02 6d 1d 80 72 3c 6f bd d7 3c a7 ||..vi.m..r>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 7a b4 3e |....(........z.>| -00000040 1e ab ba ba e0 75 93 f1 f1 ce 73 7a 60 a3 7d 9c |.....u....sz`.}.| -00000050 cc b3 38 d9 24 fa 2f f4 0e c9 ba 97 25 |..8.$./.....%| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 4b 8e 00 |....(........K..| +00000040 44 bf cd d5 4c 14 0e 87 aa 7c 8b a7 39 a6 e4 ed |D...L....|..9...| +00000050 bc e0 03 44 98 c9 c7 73 1d 21 7a 64 0c |...D...s.!zd.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 bd 8e 0f 72 98 |..........(...r.| -00000010 12 5f 98 49 b3 0d f1 c7 50 ef 7f 64 e0 58 ba 24 |._.I....P..d.X.$| -00000020 5c 52 bb 2d 42 71 2f 3d 42 89 c6 71 43 03 68 4c |\R.-Bq/=B..qC.hL| -00000030 e7 a2 9a |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 0e de af 82 c9 |..........(.....| +00000010 87 66 1e 67 f7 4d 77 8e 8a fd c4 f8 50 32 63 14 |.f.g.Mw.....P2c.| +00000020 38 04 fa 28 4e 9f dd f0 5b fa 3c ed c4 76 c3 1f |8..(N...[.<..v..| +00000030 5c cb 21 |\.!| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 7a 00 cd |.............z..| -00000010 bd 72 2f 52 4e 2a ac 52 f4 ce c0 15 86 c5 2f 2b |.r/RN*.R....../+| -00000020 6c 06 ff 15 03 03 00 1a 00 00 00 00 00 00 00 02 |l...............| -00000030 91 eb 01 b2 76 6d 84 23 db 64 35 d3 30 d4 cd 4f |....vm.#.d5.0..O| -00000040 2a ff |*.| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 2b 89 d5 |.............+..| +00000010 d9 34 98 0a 1f d6 d8 d1 4d bd 20 e1 45 04 9e 1f |.4......M. .E...| +00000020 71 8c c8 15 03 03 00 1a 00 00 00 00 00 00 00 02 |q...............| +00000030 92 5e 79 50 7c 19 b1 26 eb 52 c2 10 75 0b a0 43 |.^yP|..&.R..u..C| +00000040 45 d0 |E.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 index 9ea2421b1dc..c0e908e9cc2 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 af 91 07 b4 c6 |....Y...U.......| -00000010 68 97 27 9f 93 85 53 e1 50 6b 1b 66 7e a2 3e c9 |h.'...S.Pk.f~.>.| -00000020 51 9e b4 85 24 16 5f 8a 58 c1 a1 20 54 5a 0e 0a |Q...$._.X.. TZ..| -00000030 6e 59 24 12 17 78 4a 1c a0 85 e2 89 00 cf 56 6a |nY$..xJ.......Vj| -00000040 89 8d 1a 01 5d 78 8e 49 0e 5a 21 41 c0 23 00 00 |....]x.I.Z!A.#..| +00000000 16 03 03 00 59 02 00 00 55 03 03 5b 5d 5d 8a 4c |....Y...U..[]].L| +00000010 ba a9 b4 79 dd 3b d5 02 d8 f2 de f7 85 73 16 17 |...y.;.......s..| +00000020 e9 49 d5 56 a7 82 98 fa 0d 7d ce 20 e1 fc 99 42 |.I.V.....}. ...B| +00000030 f7 f3 40 c9 dc d7 60 57 3b 21 5d 54 d0 86 fc 74 |..@...`W;!]T...t| +00000040 07 77 b2 f4 b6 d9 90 b5 a9 38 84 38 c0 23 00 00 |.w.......8.8.#..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,43 +56,43 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b6 0c 00 00 b2 03 00 1d 20 01 e6 |*............ ..| -00000280 f7 8d 93 72 68 63 c5 7a 26 1c 6a 4d 8a 60 f4 70 |...rhc.z&.jM.`.p| -00000290 ab 1b 71 18 b1 8d 49 3f 6d 65 81 0d 92 25 04 03 |..q...I?me...%..| -000002a0 00 8a 30 81 87 02 41 74 dc 75 2f c9 d3 d8 68 28 |..0...At.u/...h(| -000002b0 10 b4 39 68 66 ce ff 8b 17 53 51 de 0f 66 56 68 |..9hf....SQ..fVh| -000002c0 b0 81 2d eb bb 43 f0 60 21 9a 4c 00 d0 2d 2d c2 |..-..C.`!.L..--.| -000002d0 90 3d 66 91 98 22 ea eb 19 de 2a 44 f9 3c f2 d4 |.=f.."....*D.<..| -000002e0 fa 9f 16 7d c0 1e e7 8c 02 42 01 cd 7a d5 0b c3 |...}.....B..z...| -000002f0 f3 fb 4d 73 38 7f 14 6e a4 3f e8 56 4e 3a 9c 4d |..Ms8..n.?.VN:.M| -00000300 27 8c aa 3a aa 4c 5f 60 31 65 48 9e 8b 9a ee 7e |'..:.L_`1eH....~| -00000310 6a 3b ee 40 4b 6b 15 e7 16 2f c7 fb f4 5f b5 ca |j;.@Kk.../..._..| -00000320 29 a8 df dc 0c e6 91 75 e3 9b 06 85 16 03 03 00 |)......u........| -00000330 04 0e 00 00 00 |.....| +00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 b4 e2 |*............ ..| +00000280 7e 17 88 04 39 06 9e 01 38 92 d5 e7 d5 3a 52 f0 |~...9...8....:R.| +00000290 e3 c9 43 6d 7f 66 76 f4 47 1a af ac 42 7a 04 03 |..Cm.fv.G...Bz..| +000002a0 00 8b 30 81 88 02 42 01 00 dc 63 78 49 3d 35 e7 |..0...B...cxI=5.| +000002b0 dc 48 b0 84 81 94 7c 5a b1 bc 8c 49 8f bd 7f 18 |.H....|Z...I....| +000002c0 7c 59 4d 1c 1a 27 a1 2a ac 5b 73 57 49 25 c9 2e ||YM..'.*.[sWI%..| +000002d0 fa 5d d5 f9 c7 99 5e bc 1a f0 0d 98 85 15 09 a6 |.]....^.........| +000002e0 b2 b1 f9 41 93 0d 46 2f 0a 02 42 01 d9 35 e3 27 |...A..F/..B..5.'| +000002f0 aa 57 29 2f e0 0c de 44 51 e3 0b eb 25 4c 02 84 |.W)/...DQ...%L..| +00000300 d3 f2 11 7c 08 d9 03 7e 66 91 32 ef d9 3c f8 89 |...|...~f.2..<..| +00000310 35 4a 84 02 61 ff 91 5b 2a d1 82 ee b7 82 d8 24 |5J..a..[*......$| +00000320 6b 5c 1a c9 22 d5 c1 6b c4 97 14 6a e2 16 03 03 |k\.."..k...j....| +00000330 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 95 20 e2 f4 73 2c 70 a7 e0 03 7c |...... ..s,p...|| -00000050 d0 4a 93 49 e9 0e 59 20 d8 35 3c 76 59 3b ba 04 |.J.I..Y .5>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 59 39 b5 76 86 |..........PY9.v.| -00000010 35 ac 80 99 4e 07 3c 8e 3f ae b3 52 f9 73 b9 88 |5...N.<.?..R.s..| -00000020 98 b4 90 57 d3 85 bc c1 30 1e 1b 72 6c d4 c8 be |...W....0..rl...| -00000030 20 f5 3e d0 69 6a 78 2a e7 3b 74 bb 66 cb 04 30 | .>.ijx*.;t.f..0| -00000040 3c d5 5a cc c2 3f 30 eb 62 93 c1 de b7 7a fe 9d |<.Z..?0.b....z..| -00000050 c7 df 9b b9 57 5f aa cc c2 38 9c |....W_...8.| +00000000 14 03 03 00 01 01 16 03 03 00 50 fd c7 a3 f6 1e |..........P.....| +00000010 7e 81 c1 90 f0 39 c7 0a bf 9a 27 35 bf 78 7b 19 |~....9....'5.x{.| +00000020 42 61 c0 30 dc a6 87 80 9a a1 a3 88 bc 9f e7 b5 |Ba.0............| +00000030 26 f8 60 df 3b 62 c8 a4 23 f4 d3 54 ce 7e a5 37 |&.`.;b..#..T.~.7| +00000040 92 3f 0b 54 95 01 03 c3 30 f8 9f 5a 01 45 8e f1 |.?.T....0..Z.E..| +00000050 2a ca 8e 45 f7 c0 d2 a7 44 06 60 |*..E....D.`| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 c3 66 ab 75 94 49 32 d6 a0 6b 45 |......f.u.I2..kE| -00000020 8e 63 c1 b2 27 8e f5 53 9f 24 b2 8f 40 6a f6 ff |.c..'..S.$..@j..| -00000030 af a3 58 f6 dc 9e a2 4b 92 87 7c 16 11 34 0f 1b |..X....K..|..4..| -00000040 8c 05 d7 49 ba 15 03 03 00 40 00 00 00 00 00 00 |...I.....@......| -00000050 00 00 00 00 00 00 00 00 00 00 cc 7c 09 c9 88 a2 |...........|....| -00000060 9f de a2 9e fd b1 f6 88 76 9c f4 4f a2 fb 88 67 |........v..O...g| -00000070 36 be 24 88 8b 72 e2 3b a4 fd f1 99 ce b4 01 ea |6.$..r.;........| -00000080 ae 54 4f 3b f2 e2 dc 0e c1 b2 |.TO;......| +00000010 00 00 00 00 00 f0 3a bf be 28 56 73 60 e0 16 99 |......:..(Vs`...| +00000020 ea b7 f5 b5 0d 77 ee 2b e1 8a f4 47 48 14 de e1 |.....w.+...GH...| +00000030 e1 65 72 7c 9c 52 a2 02 69 6e 8d 4d 48 e8 61 05 |.er|.R..in.MH.a.| +00000040 bd 6a 5f b2 7a 15 03 03 00 40 00 00 00 00 00 00 |.j_.z....@......| +00000050 00 00 00 00 00 00 00 00 00 00 b2 a2 db 45 da d7 |.............E..| +00000060 45 df 9f 7b df d3 c6 d2 83 8f 90 15 dd 13 4a e3 |E..{..........J.| +00000070 33 bf 17 43 47 11 48 9b 2f e0 4e 49 3c 1e 9d a4 |3..CG.H./.NI<...| +00000080 1d 0c d5 8e 31 19 64 49 13 51 |....1.dI.Q| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 index 3165ac32d79..e6b17fe9660 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-AES256-GCM-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 68 5c 88 10 9f |....Y...U..h\...| -00000010 16 91 80 48 79 68 e7 e2 c7 42 13 6b 37 4b 57 b6 |...Hyh...B.k7KW.| -00000020 6e 85 c2 17 b2 44 50 4e ef 66 83 20 19 58 8f f7 |n....DPN.f. .X..| -00000030 9b 4e a3 33 6a fd d2 c6 19 08 33 1e ce 01 e6 f0 |.N.3j.....3.....| -00000040 b5 ce 99 27 d1 32 d4 e2 03 7a cc c5 c0 2c 00 00 |...'.2...z...,..| +00000000 16 03 03 00 59 02 00 00 55 03 03 09 26 6c b6 48 |....Y...U...&l.H| +00000010 c1 56 0f 9c 49 b9 3f 59 a4 d1 3b 7a f9 52 04 7d |.V..I.?Y..;z.R.}| +00000020 f1 e0 45 c2 ef 8c 16 3d 79 2b fd 20 b2 14 24 ce |..E....=y+. ..$.| +00000030 a8 46 c8 fd 94 b3 b2 29 ab 4c da a0 d5 1e c4 7d |.F.....).L.....}| +00000040 98 52 3b c7 da 3a b6 af 22 29 8b 31 c0 2c 00 00 |.R;..:..").1.,..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -56,34 +56,34 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b5 0c 00 00 b1 03 00 1d 20 7b 1a |*............ {.| -00000280 03 47 7d ab f9 2a 6d c8 f2 a7 ae 61 35 b0 bd 22 |.G}..*m....a5.."| -00000290 50 09 a7 52 31 5a 5b be 85 10 0a a4 26 17 04 03 |P..R1Z[.....&...| -000002a0 00 89 30 81 86 02 41 65 4a 72 f5 94 d0 b5 78 79 |..0...AeJr....xy| -000002b0 2b ae fb 0a a2 8b 37 87 3c 8c 66 3e 87 e7 01 30 |+.....7.<.f>...0| -000002c0 22 17 00 9e 86 52 ee 6c 3a 0b 49 1f 43 cd 83 94 |"....R.l:.I.C...| -000002d0 1d 44 4e a2 0a a9 e0 44 41 bc 67 99 5c af f2 cc |.DN....DA.g.\...| -000002e0 7a 31 fa d9 63 cd 00 53 02 41 2c d2 72 a3 db f2 |z1..c..S.A,.r...| -000002f0 5d fc 12 3d f9 a7 4d cc 3c d8 bd 9e ee 70 5b 4c |]..=..M.<....p[L| -00000300 19 b7 08 0d 06 f3 8d b6 3c 66 1d f9 b0 fc 7a b9 |........>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 d1 c1 23 |....(..........#| -00000040 b4 2b 7e e2 67 ad 35 90 69 69 09 88 b0 28 5b 2a |.+~.g.5.ii...([*| -00000050 c1 33 ac 80 4f e9 ce 3b de 97 46 73 08 |.3..O..;..Fs.| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 90 77 e2 |....(.........w.| +00000040 93 66 4c bb 7e af cd c7 ee cc 49 e5 bb e8 45 3a |.fL.~.....I...E:| +00000050 42 51 72 17 8a cb 53 a2 6e a5 14 cf ea |BQr...S.n....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 ae d4 5d 73 fd |..........(..]s.| -00000010 a2 22 10 dd 53 6c 0e c7 b0 3e 77 78 24 72 74 8e |."..Sl...>wx$rt.| -00000020 f6 7b fb 80 68 45 b9 d9 49 35 f4 3f 15 e9 d7 f5 |.{..hE..I5.?....| -00000030 da a5 e3 |...| +00000000 14 03 03 00 01 01 16 03 03 00 28 d5 bd d4 73 39 |..........(...s9| +00000010 f7 e7 cf e8 4d 93 23 e0 50 39 07 36 bd 32 a8 72 |....M.#.P9.6.2.r| +00000020 14 74 1d 53 a5 a0 9c f1 90 a0 82 14 ef 98 43 9a |.t.S..........C.| +00000030 c7 e6 a2 |...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 18 0f 4c |...............L| -00000010 55 0f 74 6e 70 2f 73 2c 98 56 fb f3 e3 03 98 c5 |U.tnp/s,.V......| -00000020 58 90 ca 15 03 03 00 1a 00 00 00 00 00 00 00 02 |X...............| -00000030 15 ec 0a 09 84 8d 15 70 2d ce 7c 4e 14 f0 0a 72 |.......p-.|N...r| -00000040 9f 40 |.@| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 22 8a b5 |............."..| +00000010 90 76 1f 68 e9 72 20 03 a8 38 26 71 19 fe c1 59 |.v.h.r ..8&q...Y| +00000020 71 90 4d 15 03 03 00 1a 00 00 00 00 00 00 00 02 |q.M.............| +00000030 60 82 f2 76 13 6f 3a 13 44 09 ff 45 a4 b1 23 3c |`..v.o:.D..E..#<| +00000040 40 e0 |@.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 index 37f80012f90..33f3acfba4d 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-ECDSA-CHACHA20-POLY1305 @@ -1,24 +1,24 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 d4 01 00 00 d0 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 d6 01 00 00 d2 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 00 08 cc a9 |................| -00000050 13 01 13 03 13 02 01 00 00 7f 00 05 00 05 01 00 |................| +00000050 13 01 13 03 13 02 01 00 00 81 00 05 00 05 01 00 |................| 00000060 00 00 00 00 0a 00 0a 00 08 00 1d 00 17 00 18 00 |................| -00000070 19 00 0b 00 02 01 00 00 0d 00 1e 00 1c 08 04 04 |................| +00000070 19 00 0b 00 02 01 00 00 0d 00 20 00 1e 08 04 04 |.......... .....| 00000080 03 08 07 08 05 08 06 04 01 05 01 06 01 05 03 06 |................| -00000090 03 02 01 02 03 fe 61 fe 62 ff 01 00 01 00 00 12 |......a.b.......| -000000a0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| -000000b0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| -000000c0 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -000000d0 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| +00000090 03 02 01 02 03 fe 61 fe 62 08 08 ff 01 00 01 00 |......a.b.......| +000000a0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| +000000b0 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 |..3.&.$... /.}.G| +000000c0 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| +000000d0 c4 cf c2 ed 90 99 5f 58 cb 3b 74 |......_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 02 06 f5 6a 2e |....Y...U.....j.| -00000010 7d 58 be 53 df 9a a8 06 b7 7a 9f 4b ea 2d ca 75 |}X.S.....z.K.-.u| -00000020 2c 96 83 9e 54 73 44 ca de 34 8d 20 f6 af ae 80 |,...TsD..4. ....| -00000030 1c 06 91 91 dc a0 a8 02 9b 4d 93 6a 57 5f 4c 01 |.........M.jW_L.| -00000040 59 ea 64 f3 e8 3b 57 db a4 54 f3 2a cc a9 00 00 |Y.d..;W..T.*....| +00000000 16 03 03 00 59 02 00 00 55 03 03 d7 12 11 69 43 |....Y...U.....iC| +00000010 93 3b 99 0c 56 01 39 5f 80 d9 bb 12 43 89 2f 4d |.;..V.9_....C./M| +00000020 71 de 0e bf 92 6e 56 2a ab 53 cc 20 9a a7 8b 79 |q....nV*.S. ...y| +00000030 d6 6e e0 a2 e5 3c 37 49 ca b2 b4 ee b4 eb 9d 63 |.n...<7I.......c| +00000040 14 a9 c9 5f 0e 27 7f 45 bb 4d 0a 73 cc a9 00 00 |..._.'.E.M.s....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 0e 0b 00 02 0a 00 02 07 00 02 04 30 82 02 |.............0..| 00000070 00 30 82 01 62 02 09 00 b8 bf 2d 47 a0 d2 eb f4 |.0..b.....-G....| @@ -53,32 +53,32 @@ 00000240 13 83 0d 94 06 bb d4 37 7a f6 ec 7a c9 86 2e dd |.......7z..z....| 00000250 d7 11 69 7f 85 7c 56 de fb 31 78 2b e4 c7 78 0d |..i..|V..1x+..x.| 00000260 ae cb be 9e 4e 36 24 31 7b 6a 0f 39 95 12 07 8f |....N6$1{j.9....| -00000270 2a 16 03 03 00 b7 0c 00 00 b3 03 00 1d 20 a2 bf |*............ ..| -00000280 56 a8 67 70 53 4d 39 55 5e 60 b6 d5 24 ec 80 81 |V.gpSM9U^`..$...| -00000290 f3 ef 6c 11 be 31 d7 96 8b d5 dd d5 a7 40 04 03 |..l..1.......@..| -000002a0 00 8b 30 81 88 02 42 01 e8 a4 bf 1f 95 87 f0 da |..0...B.........| -000002b0 0c 9c 94 94 3c 7a 08 08 cb 26 d1 03 ef 25 d0 ef |....s.t.| +000002c0 37 63 50 0e 82 f8 43 0d da ba 17 d8 8f 8e c8 63 |7cP...C........c| +000002d0 18 74 f9 ec e5 93 e6 43 fb b5 13 c7 9d 45 e6 3b |.t.....C.....E.;| +000002e0 cd 93 0d f0 af b5 3c 6a 18 02 42 00 d1 16 b0 ab |......>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 8d f2 80 8e f1 1c 8a 2a c6 e0 0c |.... .......*...| -00000040 dc c7 f3 43 1f aa 08 f2 88 e3 6c 8a 21 42 91 15 |...C......l.!B..| -00000050 29 9c 3a 0d eb |).:..| +00000030 16 03 03 00 20 09 06 28 1e db e6 ec 2e 39 5b 39 |.... ..(.....9[9| +00000040 22 da 4b 3c a4 38 ce 61 7b 40 59 27 74 50 78 e3 |".K<.8.a{@Y'tPx.| +00000050 e3 df 47 55 9d |..GU.| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 8b 0f 58 8d ff |.......... ..X..| -00000010 d1 bc 75 f2 60 f4 6a db 60 f6 fd 87 ad 51 23 8e |..u.`.j.`....Q#.| -00000020 c9 0e 09 fb 46 c7 73 68 50 19 27 |....F.shP.'| +00000000 14 03 03 00 01 01 16 03 03 00 20 d0 36 fe 1a a6 |.......... .6...| +00000010 fc ce 0d 08 6f d1 03 09 95 7e 30 2e 3e 85 1b cc |....o....~0.>...| +00000020 fb bd 80 e9 7a ac 82 2e 94 c6 32 |....z.....2| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 bb a6 61 05 c3 2f 20 18 09 83 cb |.......a../ ....| -00000010 de fa 93 a9 a5 3b 0b c6 7d 68 84 15 03 03 00 12 |.....;..}h......| -00000020 46 97 12 29 74 95 e0 e0 38 73 b8 be 33 ef ec d8 |F..)t...8s..3...| -00000030 dc 6b |.k| +00000000 17 03 03 00 16 e5 5a 41 27 e1 4e f5 8f 27 23 6a |......ZA'.N..'#j| +00000010 ab 2a 79 d4 eb 81 25 42 91 ec 47 15 03 03 00 12 |.*y...%B..G.....| +00000020 2a 1c 99 f8 43 e3 75 94 57 9b 69 e6 66 c9 4f e2 |*...C.u.W.i.f.O.| +00000030 d1 bc |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES index 9f541bc3c09..9ceb0d9c7bc 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 67 63 bd b0 1e |....Y...U..gc...| -00000010 75 82 e9 12 b5 e8 e9 79 0f f3 00 43 96 a3 99 74 |u......y...C...t| -00000020 23 c6 78 d4 be 6b 3b 89 51 04 63 20 59 6c 0f 14 |#.x..k;.Q.c Yl..| -00000030 1a 8e 4f cb 10 99 30 8a 1e a9 f1 23 d0 b0 1f ac |..O...0....#....| -00000040 1c b8 fa 22 a5 c4 f6 fa be c4 22 a6 c0 13 00 00 |..."......".....| +00000000 16 03 03 00 59 02 00 00 55 03 03 3d 4b 8e 08 fa |....Y...U..=K...| +00000010 29 ab c7 87 02 db e7 12 20 c8 7b 88 8c 04 b5 4c |)....... .{....L| +00000020 1c d9 2f b0 d0 f5 f4 bf 9e 67 81 20 16 0b 82 06 |../......g. ....| +00000030 0f dc 7c a9 8a 51 1f f5 ae 3b 06 57 48 ec 48 87 |..|..Q...;.WH.H.| +00000040 0d 0c c0 14 03 f5 af 6f a7 48 54 fc c0 13 00 00 |.......o.HT.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,38 +61,38 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 31 5f ec 97 5f b6 4c |........ 1_.._.L| -000002d0 a1 85 5a 87 a3 1a 38 a1 c1 f7 af a4 d3 41 0c 5b |..Z...8......A.[| -000002e0 28 d0 cf ec cd 2d 21 52 09 08 04 00 80 61 c0 b8 |(....-!R.....a..| -000002f0 ce 19 51 74 9b ad d9 72 4d b2 e0 d3 39 5c 12 ca |..Qt...rM...9\..| -00000300 68 25 d9 03 65 ab 9d 2f 1f 4b 15 f4 38 84 d3 b8 |h%..e../.K..8...| -00000310 25 62 bf 46 22 08 35 db a3 12 3c 9c 81 59 09 44 |%b.F".5...<..Y.D| -00000320 03 87 d1 f8 79 d4 60 3a 6d 88 b0 3e 6b e7 03 b1 |....y.`:m..>k...| -00000330 07 4b 9b 80 60 6e 39 25 c4 cb 31 04 7a 77 99 3e |.K..`n9%..1.zw.>| -00000340 c3 7b 79 80 5b 26 16 b5 0b c5 6e 2d ab 7d bd 88 |.{y.[&....n-.}..| -00000350 00 1c f8 18 1b 63 3a d6 ce 7b 1a c1 f7 d3 1a 77 |.....c:..{.....w| -00000360 c9 bf 5c 71 ae 64 6c f2 84 fe e9 a9 b9 16 03 03 |..\q.dl.........| +000002c0 ac 0c 00 00 a8 03 00 1d 20 86 2c 0b 8c 09 ca b2 |........ .,.....| +000002d0 97 eb 0e 54 64 91 29 e8 6b fb c3 bc 14 17 cb 98 |...Td.).k.......| +000002e0 f1 78 4b a8 8d 64 31 06 0f 08 04 00 80 00 05 bb |.xK..d1.........| +000002f0 4a d6 5b 17 4c f1 ba 54 5a 90 25 78 55 cf a9 ea |J.[.L..TZ.%xU...| +00000300 5e 84 62 fb cd 55 bc 63 70 32 72 8b a1 92 53 a1 |^.b..U.cp2r...S.| +00000310 74 9d 31 d6 b5 72 3a 18 6e 69 de 89 11 66 3f 37 |t.1..r:.ni...f?7| +00000320 7a a7 9e fd ad 29 71 38 d9 18 b2 cc 10 54 d2 77 |z....)q8.....T.w| +00000330 43 ba a0 40 4c f2 85 a1 59 eb 34 cb 44 6b b0 7c |C..@L...Y.4.Dk.|| +00000340 f4 a5 ac be 91 95 44 c1 17 7d ac 02 4d 6c 18 ea |......D..}..Ml..| +00000350 2b d3 ac 07 cf f7 e4 65 72 f2 40 10 87 12 0d 03 |+......er.@.....| +00000360 20 db 81 6b 01 22 51 83 fd 30 31 43 b2 16 03 03 | ..k."Q..01C....| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000040 00 00 00 00 00 34 9e 10 56 83 17 c8 b2 42 b4 db |.....4..V....B..| -00000050 3c 98 6a 79 61 b8 f4 1d ea 25 0b 39 0f d3 0a 15 |<.jya....%.9....| -00000060 d4 1a bc 60 68 c4 48 06 f2 41 fe 7f e3 40 b3 40 |...`h.H..A...@.@| -00000070 22 f5 a5 7e 6e |"..~n| +00000040 00 00 00 00 00 d6 ae 15 88 93 d4 57 31 1c 13 ce |...........W1...| +00000050 ea 77 96 68 21 d5 4f 56 22 fe 31 1a 33 47 44 ed |.w.h!.OV".1.3GD.| +00000060 2c e2 06 43 51 d4 9b 36 f1 68 3c 95 30 0f 36 ae |,..CQ..6.h<.0.6.| +00000070 7c a9 23 1d 16 ||.#..| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 40 73 b6 c9 01 cb |..........@s....| -00000010 d1 05 6c e5 15 c1 1d 4f 72 0a 61 bf fb c5 48 ea |..l....Or.a...H.| -00000020 4b 8a 3e b3 a5 9d 9b cd 26 07 8b 9a fd d4 c2 43 |K.>.....&......C| -00000030 74 be aa 70 ce 0f 22 db 30 5e 0e d6 fc 2b 0d 8b |t..p..".0^...+..| -00000040 ad 69 9a 4f 16 4d d2 ef 07 66 9a |.i.O.M...f.| +00000000 14 03 03 00 01 01 16 03 03 00 40 b6 86 ea e7 0d |..........@.....| +00000010 bb 14 af 56 cd 5e 9b 58 f8 ab dd 97 bd 43 79 d2 |...V.^.X.....Cy.| +00000020 9e 59 d5 e2 2a bc eb 5d 69 59 6c f8 d8 de 80 d5 |.Y..*..]iYl.....| +00000030 bf 35 ca fe e7 d5 ca 57 c4 26 5b ff 2c 8c d2 2a |.5.....W.&[.,..*| +00000040 c0 15 b7 be 1f 18 cb 67 2e bb 21 |.......g..!| >>> Flow 5 (client to server) 00000000 17 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -00000010 00 00 00 00 00 70 fe 69 72 80 af d5 69 5c b9 48 |.....p.ir...i\.H| -00000020 2c 42 c4 18 2f 07 06 f3 79 87 b6 c7 dd f1 1c b1 |,B../...y.......| -00000030 19 79 ac 8d 3b 15 03 03 00 30 00 00 00 00 00 00 |.y..;....0......| -00000040 00 00 00 00 00 00 00 00 00 00 2a 39 78 c1 74 18 |..........*9x.t.| -00000050 8e 75 b3 54 68 39 d8 81 91 f9 d1 fd c5 e7 4c ab |.u.Th9........L.| -00000060 5b 44 0e ad f7 36 d5 6c 9a e3 |[D...6.l..| +00000010 00 00 00 00 00 01 66 c3 81 55 cb d0 d8 1d b3 db |......f..U......| +00000020 bc 22 12 48 d8 2d 47 f2 75 08 1e ab b6 a8 84 a2 |.".H.-G.u.......| +00000030 24 00 15 09 e3 15 03 03 00 30 00 00 00 00 00 00 |$........0......| +00000040 00 00 00 00 00 00 00 00 00 00 a4 80 d4 e0 87 32 |...............2| +00000050 45 69 44 28 88 19 24 9e ec ca 02 df d6 48 3e 57 |EiD(..$......H>W| +00000060 7a b0 c6 c9 2a ef 9f df 36 dd |z...*...6.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 index b8657300ee8..1f4644ab778 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 3a 9d 6d 30 19 |....Y...U..:.m0.| -00000010 6d 00 ae f2 d9 b7 f6 56 ea f7 06 ec 89 99 1d 09 |m......V........| -00000020 3f 48 50 b6 e1 4d f7 a7 83 91 50 20 a4 6e 8a 17 |?HP..M....P .n..| -00000030 52 a0 e7 e4 00 ce b8 bd 0d 80 ed 0b c0 d9 e6 ad |R...............| -00000040 c8 24 e2 39 e0 2f 4c 6e 71 e2 e3 88 c0 27 00 00 |.$.9./Lnq....'..| +00000000 16 03 03 00 59 02 00 00 55 03 03 2f a7 6a 8f 66 |....Y...U../.j.f| +00000010 14 37 3a 6c c8 a6 8b d7 55 9a 2d d8 ef 37 19 f1 |.7:l....U.-..7..| +00000020 b7 33 86 7d 8e ba f1 1f 83 88 a6 20 8e 85 7a 53 |.3.}....... ..zS| +00000030 8d 4f 8e 01 23 da 79 d8 56 79 ab 56 91 c9 0e 4c |.O..#.y.Vy.V...L| +00000040 ad fd 80 0e 3d f6 0b 76 b9 21 a7 92 c0 27 00 00 |....=..v.!...'..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,42 +61,42 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 da f4 65 ac 8a 18 48 |........ ..e...H| -000002d0 d1 2c c9 b2 b9 3b 5d 8f ff e5 99 5e f2 c0 dd 98 |.,...;]....^....| -000002e0 92 61 75 f3 85 32 9c 87 05 08 04 00 80 cf ba 5b |.au..2.........[| -000002f0 74 63 9f 36 08 67 8d be 06 b4 b4 f0 38 01 fc c1 |tc.6.g......8...| -00000300 9e 3d d0 f5 2b 0b 2a 1f c3 97 fe 08 11 75 91 b6 |.=..+.*......u..| -00000310 cb 7a 08 f0 f7 a3 30 63 7c df d0 cb 4e ca b5 e5 |.z....0c|...N...| -00000320 fb 5c 5e 43 8e 1f 6e fb c5 5a a4 89 bd 2c f4 4c |.\^C..n..Z...,.L| -00000330 50 62 36 06 53 5c 33 f4 57 3a 42 2a a7 c3 a7 fc |Pb6.S\3.W:B*....| -00000340 4d aa 4c df e5 25 61 ef 98 92 84 49 69 e2 c2 08 |M.L..%a....Ii...| -00000350 a6 b9 af 7a f3 a4 56 9a d8 e6 2b 8d 61 16 97 ee |...z..V...+.a...| -00000360 03 56 1a 67 eb b0 94 f4 7b 10 38 21 cb 16 03 03 |.V.g....{.8!....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 59 cc a6 a8 b4 05 10 |........ Y......| +000002d0 00 0d 14 4f ec 26 d8 fb 9e a7 c3 74 8e d8 ca 66 |...O.&.....t...f| +000002e0 e4 e1 96 f0 8a ef 95 63 46 08 04 00 80 ad 32 e6 |.......cF.....2.| +000002f0 39 ef 4c b3 25 8d d1 26 2f de 32 aa 56 00 80 d5 |9.L.%..&/.2.V...| +00000300 8a b4 45 f9 cc 29 40 b2 20 f9 d1 57 f0 17 98 06 |..E..)@. ..W....| +00000310 ba 53 e0 59 75 70 7a ac ec 5a 74 ac fa 30 c5 74 |.S.Yupz..Zt..0.t| +00000320 d3 43 f9 bc 6f 7d 71 ff c5 3d fe 98 64 aa 67 cd |.C..o}q..=..d.g.| +00000330 84 f7 af cb de f6 bb a1 65 62 c5 07 08 2b 7b 0d |........eb...+{.| +00000340 8d e4 16 97 9a 01 55 82 7d b7 a0 23 71 0a 81 f3 |......U.}..#q...| +00000350 e4 6b 14 16 51 84 08 db 21 09 d1 0f bc 2f 60 11 |.k..Q...!..../`.| +00000360 5c eb a0 15 8c a7 27 dd 2d 80 82 58 5b 16 03 03 |\.....'.-..X[...| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| 00000030 16 03 03 00 50 00 00 00 00 00 00 00 00 00 00 00 |....P...........| -00000040 00 00 00 00 00 8b 32 62 df a7 81 85 3b c6 d9 29 |......2b....;..)| -00000050 96 e1 63 85 15 c8 36 e8 6d 6a 2e 1b 30 cd 32 ce |..c...6.mj..0.2.| -00000060 bc 82 6d 39 ae 12 94 df 80 4b 5f 84 db 19 d7 0a |..m9.....K_.....| -00000070 42 60 aa e0 54 af 25 e3 37 64 d5 7a 60 de 8b 1c |B`..T.%.7d.z`...| -00000080 4c dc 31 3a 3d |L.1:=| +00000040 00 00 00 00 00 95 9c 80 38 ba 7e b1 d4 59 71 ea |........8.~..Yq.| +00000050 8b 5b c2 0b 10 bb 52 07 e3 11 66 e3 f8 be 89 0a |.[....R...f.....| +00000060 25 35 09 4e e9 eb 1e 17 ff 89 96 65 b9 8e ea 25 |%5.N.......e...%| +00000070 b7 8a a8 e5 29 f7 24 03 43 61 50 cd de a3 46 31 |....).$.CaP...F1| +00000080 30 4e aa e3 0a |0N...| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 50 23 95 48 22 86 |..........P#.H".| -00000010 78 54 0f a7 d3 5d 16 cd f7 48 3a 7a a2 1a 35 8a |xT...]...H:z..5.| -00000020 2a e3 7d d7 33 b9 d4 0b e3 d3 b3 49 e3 79 3b 22 |*.}.3......I.y;"| -00000030 d9 c8 ef a6 3a da d5 1e 31 f0 eb a6 4a b3 4b 04 |....:...1...J.K.| -00000040 9e a8 40 d5 00 65 97 ae ea b6 89 62 c9 dc c8 f3 |..@..e.....b....| -00000050 2d c4 21 82 9a d0 73 28 95 b9 32 |-.!...s(..2| +00000000 14 03 03 00 01 01 16 03 03 00 50 0e ae f5 ea fe |..........P.....| +00000010 a0 c2 6f 72 25 b3 0a 1f 88 05 a3 0e 75 15 3c bc |..or%.......u.<.| +00000020 c6 af 4d d2 44 3e 27 5c 8c ad 7a 69 8a 36 99 19 |..M.D>'\..zi.6..| +00000030 23 0b 4e 7c ef 13 ff b9 04 da e6 43 65 f3 25 0f |#.N|.......Ce.%.| +00000040 0b 64 a4 8e 57 51 0c e6 f4 85 0f d1 4b 27 99 1c |.d..WQ......K'..| +00000050 35 8f bc 90 ae 54 3a 02 f7 7b 69 |5....T:..{i| >>> Flow 5 (client to server) 00000000 17 03 03 00 40 00 00 00 00 00 00 00 00 00 00 00 |....@...........| -00000010 00 00 00 00 00 e3 1c 4d b4 7b dd 89 4d 96 44 69 |.......M.{..M.Di| -00000020 26 9e 39 09 78 5e c1 1e ce fe 0f e1 2e a2 59 a5 |&.9.x^........Y.| -00000030 22 8d 7d 38 c6 e6 fd fa 5b c1 53 72 66 9c 96 73 |".}8....[.Srf..s| -00000040 c5 88 e8 fb 37 15 03 03 00 40 00 00 00 00 00 00 |....7....@......| -00000050 00 00 00 00 00 00 00 00 00 00 f4 e8 59 70 04 71 |............Yp.q| -00000060 7d 15 00 35 ef 08 e4 62 89 58 73 cb f0 a6 d1 24 |}..5...b.Xs....$| -00000070 30 9d 3f 34 f8 44 bc 9d aa 4e a2 b1 0b 39 45 e0 |0.?4.D...N...9E.| -00000080 5e 21 34 f5 14 55 ec fa 31 b7 |^!4..U..1.| +00000010 00 00 00 00 00 10 18 2b dc 81 92 0a c2 55 aa 52 |.......+.....U.R| +00000020 da 07 52 dc f5 ca 78 eb b2 de 53 66 ef e4 97 89 |..R...x...Sf....| +00000030 1f 20 68 76 27 30 2a 26 06 7b 25 d4 f7 57 b8 06 |. hv'0*&.{%..W..| +00000040 58 ab c3 36 c0 15 03 03 00 40 00 00 00 00 00 00 |X..6.....@......| +00000050 00 00 00 00 00 00 00 00 00 00 e7 94 35 0a 20 41 |............5. A| +00000060 da df a2 9e 11 54 90 ab 8f 94 d9 c8 24 28 e1 4f |.....T......$(.O| +00000070 e6 5c 69 34 3f 9d 89 bd 4a d7 7c b0 b3 69 6c 0f |.\i4?...J.|..il.| +00000080 87 d7 98 0e e9 20 00 88 50 bd |..... ..P.| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 index db96c1997c6..c8530c15c44 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 +++ b/src/crypto/tls/testdata/Client-TLSv12-ECDHE-RSA-CHACHA20-POLY1305 @@ -1,24 +1,24 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 d4 01 00 00 d0 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 d6 01 00 00 d2 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 00 08 cc a8 |................| -00000050 13 01 13 03 13 02 01 00 00 7f 00 05 00 05 01 00 |................| +00000050 13 01 13 03 13 02 01 00 00 81 00 05 00 05 01 00 |................| 00000060 00 00 00 00 0a 00 0a 00 08 00 1d 00 17 00 18 00 |................| -00000070 19 00 0b 00 02 01 00 00 0d 00 1e 00 1c 08 04 04 |................| +00000070 19 00 0b 00 02 01 00 00 0d 00 20 00 1e 08 04 04 |.......... .....| 00000080 03 08 07 08 05 08 06 04 01 05 01 06 01 05 03 06 |................| -00000090 03 02 01 02 03 fe 61 fe 62 ff 01 00 01 00 00 12 |......a.b.......| -000000a0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| -000000b0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| -000000c0 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| -000000d0 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| +00000090 03 02 01 02 03 fe 61 fe 62 08 08 ff 01 00 01 00 |......a.b.......| +000000a0 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 |.....+..........| +000000b0 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 |..3.&.$... /.}.G| +000000c0 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af |.bC.(.._.).0....| +000000d0 c4 cf c2 ed 90 99 5f 58 cb 3b 74 |......_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 51 6c 8a 3c 77 |....Y...U..Ql....?,.Y.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -58,31 +58,31 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 77 f5 b0 33 86 81 4d |........ w..3..M| -000002d0 8e 9e e0 4a 55 c6 e4 7b 9c 29 12 bf a9 86 30 40 |...JU..{.)....0@| -000002e0 46 9e e3 07 e1 e1 1f 3f 11 08 04 00 80 59 c3 7f |F......?.....Y..| -000002f0 9e 28 6a 74 90 6d c6 dd 0a e3 3e 10 06 ef af 37 |.(jt.m....>....7| -00000300 37 b1 bb 23 1f 9b 4a 8f e0 0e 3c 29 8e 2e 27 32 |7..#..J...<)..'2| -00000310 4e 28 d4 a9 af 5b 0d aa 98 9f 19 de 4d be 24 99 |N(...[......M.$.| -00000320 42 2c ce 8d 94 dd 2f eb 3a c2 90 67 fe 4b 8c 9d |B,..../.:..g.K..| -00000330 d2 39 eb a7 9d 2b 71 50 f5 35 44 e0 d7 cb c6 a3 |.9...+qP.5D.....| -00000340 52 a7 96 cf 66 68 ec c2 94 16 bd 31 2c 61 aa 30 |R...fh.....1,a.0| -00000350 96 66 a6 7b ef 40 52 66 e2 39 b3 4b ae 85 b6 b6 |.f.{.@Rf.9.K....| -00000360 72 3c d7 42 11 8d 35 e5 ec 6b 43 f8 81 16 03 03 |r<.B..5..kC.....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 98 f5 d8 73 66 f6 7f |........ ...sf..| +000002d0 d6 f4 d5 0c b5 f4 a7 2f 2c 48 d0 76 2f b7 20 93 |......./,H.v/. .| +000002e0 6f 76 7c 16 d8 1d 72 c3 1c 08 04 00 80 a0 fe b6 |ov|...r.........| +000002f0 46 cd 2c dd 7a 3a 5b 10 37 0f ce 37 da 83 86 2e |F.,.z:[.7..7....| +00000300 13 c9 87 34 54 ef b9 70 9e 3f c2 6c db 66 9b 29 |...4T..p.?.l.f.)| +00000310 48 d9 2a b7 33 ce 5c e4 8e d1 c2 df a5 9c 08 73 |H.*.3.\........s| +00000320 4c ae 8c bc a7 32 cf 80 7b 40 6e 62 27 63 20 c4 |L....2..{@nb'c .| +00000330 a7 22 57 ee 72 2b 1b f5 c1 22 fa 5c 21 ea 7c 95 |."W.r+...".\!.|.| +00000340 bd 8b ab c5 06 87 b0 28 88 42 c3 0e 57 15 01 47 |.......(.B..W..G| +00000350 74 93 8b 81 c0 b7 3e 4a 00 8b 79 0b c9 d4 ec 07 |t.....>J..y.....| +00000360 62 eb 93 aa cb df 2a 54 49 aa a6 e7 03 16 03 03 |b.....*TI.......| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 19 05 ee 49 e9 b5 ea 88 6d 21 d6 |.... ...I....m!.| -00000040 9c 0b 9c 8e 77 cd 81 cd cf e1 27 18 10 c2 b0 50 |....w.....'....P| -00000050 77 df 13 45 8b |w..E.| +00000030 16 03 03 00 20 d8 1e 11 d0 07 a4 7c 53 d5 74 0d |.... ......|S.t.| +00000040 ad 03 d4 ca e4 92 93 e8 12 f4 bf c5 7e b9 3d ee |............~.=.| +00000050 e9 ed e4 ea 01 |.....| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 00 21 ad 9a 73 |.......... .!..s| -00000010 07 7f 51 d7 1d 2c e7 f1 f4 65 cb 84 48 66 aa 97 |..Q..,...e..Hf..| -00000020 0f d7 84 39 40 29 e6 92 58 57 06 |...9@)..XW.| +00000000 14 03 03 00 01 01 16 03 03 00 20 3c a1 72 44 6b |.......... <.rDk| +00000010 18 0a 9f aa 78 72 a4 c3 25 26 82 ae 56 e1 c0 e9 |....xr..%&..V...| +00000020 23 d0 d0 53 0f c3 7b 6a f3 b2 78 |#..S..{j..x| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 b3 f5 f6 b4 e4 a5 bc 8e 85 08 07 |................| -00000010 3b b8 8d bc e8 02 b1 ac 58 e5 48 15 03 03 00 12 |;.......X.H.....| -00000020 69 e7 79 c6 31 fd de 3c f1 07 27 2b 68 bf 7d 45 |i.y.1..<..'+h.}E| -00000030 81 61 |.a| +00000000 17 03 03 00 16 15 87 ff 2f 31 67 02 10 1a 6a e6 |......../1g...j.| +00000010 b2 8f 6f 17 94 54 ac ff 30 f6 dd 15 03 03 00 12 |..o..T..0.......| +00000020 58 df 0c 63 3f 9b b4 69 4d 63 3b 37 7b 46 fa 89 |X..c?..iMc;7{F..| +00000030 d6 e0 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 index c1a45c6b1c4..8a0c89da8ac 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv12-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 59 f0 fc e3 45 |....Y...U..Y...E| -00000010 92 db 61 58 de 1e a3 f4 e6 1d 57 73 34 26 a7 5f |..aX......Ws4&._| -00000020 90 7c 7c 9d 31 a8 a1 1a 1a 99 49 20 78 5a 91 98 |.||.1.....I xZ..| -00000030 82 16 c3 cd 48 fe 1c 4e 98 29 8f b1 a9 c4 b3 5c |....H..N.).....\| -00000040 a9 c4 ac bc 1a 7c f2 cb 41 96 33 ee cc a9 00 00 |.....|..A.3.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 d1 78 d5 a8 ef |....Y...U...x...| +00000010 93 84 e1 23 fc f9 79 e2 23 69 28 c4 c2 f2 76 7f |...#..y.#i(...v.| +00000020 3c 00 10 27 63 bc 0c e9 37 cd eb 20 d3 98 4c fd |<..'c...7.. ..L.| +00000030 d6 e4 43 03 ca f4 3d 7d 52 2c 15 a6 f9 50 f3 49 |..C...=}R,...P.I| +00000040 85 4c 6e c5 12 c8 bb 5f d3 02 9b 0f cc a9 00 00 |.Ln...._........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 01 3c 0b 00 01 38 00 01 35 00 01 32 30 82 01 |..<...8..5..20..| 00000070 2e 30 81 e1 a0 03 02 01 02 02 10 0f 43 1c 42 57 |.0..........C.BW| @@ -43,27 +43,27 @@ 00000170 90 95 39 e5 0d c1 55 ff 2c 16 b7 1d fc ab 7d 4d |..9...U.,.....}M| 00000180 d4 e0 93 13 d0 a9 42 e0 b6 6b fe 5d 67 48 d7 9f |......B..k.]gH..| 00000190 50 bc 6c cd 4b 03 83 7c f2 08 58 cd ac cf 0c 16 |P.l.K..|..X.....| -000001a0 03 03 00 6c 0c 00 00 68 03 00 1d 20 82 0b 27 09 |...l...h... ..'.| -000001b0 34 9e f2 49 fc c9 d3 04 3c cf 6b a1 6c d4 17 df |4..I....<.k.l...| -000001c0 e1 9f df 4f 52 41 a8 8b c3 90 d9 02 08 07 00 40 |...ORA.........@| -000001d0 5e 0b 28 0c 59 c9 bb 9c 86 eb e3 48 0c b5 fb 23 |^.(.Y......H...#| -000001e0 17 e4 30 5e fd 90 0a e2 89 93 47 25 d3 f1 9f ee |..0^......G%....| -000001f0 79 c7 58 b0 7b 65 31 7e ff 97 0f d2 59 92 10 e3 |y.X.{e1~....Y...| -00000200 c4 39 24 ab d7 26 44 fa a8 67 9a 4f 9b 72 4d 04 |.9$..&D..g.O.rM.| +000001a0 03 03 00 6c 0c 00 00 68 03 00 1d 20 13 3d 70 03 |...l...h... .=p.| +000001b0 5d f8 ed 0d e2 d8 32 20 f2 8a 44 12 c2 c6 6c 25 |].....2 ..D...l%| +000001c0 02 3c 89 4a 97 72 77 a1 1d f5 48 42 08 07 00 40 |.<.J.rw...HB...@| +000001d0 6d 02 b5 86 ed 0e a6 d3 d2 99 af ec 85 90 d4 75 |m..............u| +000001e0 d0 1f 23 0d a0 8d 4d 08 f0 d6 d5 c3 72 f4 73 2a |..#...M.....r.s*| +000001f0 1b e0 4b c9 49 ec 34 72 58 30 bd d0 e8 2f 73 e2 |..K.I.4rX0.../s.| +00000200 ad a0 ae 06 99 7a 6d 90 06 b2 1d 39 bd d8 05 02 |.....zm....9....| 00000210 16 03 03 00 04 0e 00 00 00 |.........| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 23 d5 7b 8f 89 2d 13 1b 1c e7 64 |.... #.{..-....d| -00000040 1d f3 70 db c2 fe 29 c5 09 ea 10 0a 60 cb ca dc |..p...).....`...| -00000050 86 ef e4 f8 af |.....| +00000030 16 03 03 00 20 1f ea af 73 91 4f f9 a6 05 69 60 |.... ...s.O...i`| +00000040 50 e2 9a 4c 50 ae 18 2d c4 25 de a0 f7 b1 4f c3 |P..LP..-.%....O.| +00000050 97 54 b1 0b 7a |.T..z| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 e8 c4 45 bc ff |.......... ..E..| -00000010 69 dd af ae 43 7a 74 02 98 ef 1f 99 56 b4 9e e5 |i...Czt.....V...| -00000020 5a 8a 1b 7d 51 38 82 2d db 5a 9b |Z..}Q8.-.Z.| +00000000 14 03 03 00 01 01 16 03 03 00 20 e0 35 a6 14 a1 |.......... .5...| +00000010 5c 09 3c 29 69 0d 9f cc fb cb 0a 3a 7c 45 bf bb |\.<)i......:|E..| +00000020 dd 9c 70 e8 19 5d 03 98 d0 c1 4a |..p..]....J| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 8d da 5c 87 08 9c 89 6f 12 c5 59 |.......\....o..Y| -00000010 e5 e6 48 c8 dd 53 1c 1d 18 7c a5 15 03 03 00 12 |..H..S...|......| -00000020 66 3d 5a 01 41 61 6a 42 6a 8f 85 d1 a5 28 2b 9c |f=Z.AajBj....(+.| -00000030 91 c4 |..| +00000000 17 03 03 00 16 dd 4f 40 12 b6 04 02 51 6c 01 4c |......O@....Ql.L| +00000010 cd d2 72 df 01 26 8d c9 d3 cc d2 15 03 03 00 12 |..r..&..........| +00000020 d9 17 20 b5 46 c7 59 4a 2c b9 3b 0d 4c a6 d2 01 |.. .F.YJ,.;.L...| +00000030 fe c5 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial index 5c54f2728be..58624258a48 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv12-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 62 0b ba 57 85 |....Y...U..b..W.| -00000010 fc 80 a6 b4 2c fb cf f9 3c 6b 24 4e 65 88 3f 21 |....,......B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 41 6d d4 b7 66 b6 a0 |........ Am..f..| -000002d0 39 2e e0 fb 5f 49 7b 80 36 9c 58 76 8b 01 a6 2a |9..._I{.6.Xv...*| -000002e0 0a dc 69 23 27 12 e6 d8 42 08 04 00 80 99 24 92 |..i#'...B.....$.| -000002f0 e8 41 27 74 cd 6f 0e 8e 23 27 8c bf 52 4c e9 eb |.A't.o..#'..RL..| -00000300 09 ef 23 95 7a 4a 8e de a9 97 39 8b 84 4f 9b 35 |..#.zJ....9..O.5| -00000310 42 43 72 4c 04 d0 6a c4 9c 59 17 fe a7 6e 14 a0 |BCrL..j..Y...n..| -00000320 1d de 2f 7e 62 92 0b 4c 6e b0 9a 57 be 0f 4f 62 |../~b..Ln..W..Ob| -00000330 97 ec f0 a8 59 b8 c3 c2 69 03 03 d5 64 c6 6f ba |....Y...i...d.o.| -00000340 2b bf 3a 80 59 68 7d 04 d4 79 89 23 57 8d dd 90 |+.:.Yh}..y.#W...| -00000350 d0 af 57 ed fc fc d5 93 0f 72 0d 75 c5 54 a4 64 |..W......r.u.T.d| -00000360 a4 ff 94 d2 fc 8b f3 b2 77 9b 32 10 51 16 03 03 |........w.2.Q...| +000002c0 ac 0c 00 00 a8 03 00 1d 20 fc 1c ef cc fb e3 da |........ .......| +000002d0 4f 5b 55 3c 6b 71 0a 71 62 09 9f bf 00 68 93 62 |O[U..qT\Um..>.....| +00000320 85 5c 33 f2 f0 7d fb 35 1b 22 e1 4b d1 43 d8 ae |.\3..}.5.".K.C..| +00000330 db 6d 1b fe 12 7f 43 e8 5c 6b d5 e0 53 3e b8 9f |.m....C.\k..S>..| +00000340 83 6e e6 56 6d 5e 18 a4 f0 2a de 4a 9b b2 a0 86 |.n.Vm^...*.J....| +00000350 55 c2 07 6c 5d 2b 0c ec 47 b1 56 fc 5e 20 2b 15 |U..l]+..G.V.^ +.| +00000360 f2 bb ce 98 3a 3f 19 68 49 bb c8 bc 8e 16 03 03 |....:?.hI.......| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 97 f0 86 e0 99 1a 63 20 73 e4 5f |.... ......c s._| -00000040 05 7c 4d a4 9a 80 39 5a 98 42 08 72 e6 2f 1a ce |.|M...9Z.B.r./..| -00000050 1c c7 57 6a d0 |..Wj.| +00000030 16 03 03 00 20 85 6f 02 54 c0 bb 39 e5 ba ea 49 |.... .o.T..9...I| +00000040 c2 15 bf ca fd d1 87 8c e2 f0 f6 d1 0e 96 2e 3d |...............=| +00000050 dc 07 a0 a4 27 |....'| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 2b 90 84 41 b8 |.......... +..A.| -00000010 9f 28 74 c4 57 dc f7 aa c4 d3 a3 56 d9 26 eb e4 |.(t.W......V.&..| -00000020 eb d3 86 3b 81 f0 a7 e8 f4 ab 8e |...;.......| +00000000 14 03 03 00 01 01 16 03 03 00 20 46 e7 ae 80 0e |.......... F....| +00000010 df 7c 96 f5 db a3 2c c6 2a 31 f9 71 44 3b 25 c8 |.|....,.*1.qD;%.| +00000020 d1 ee ad d9 7c 4b a5 e2 56 3d b9 |....|K..V=.| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 07 53 e8 df ff c2 80 dc 7f b6 99 |......S.........| -00000010 44 63 a0 9f 8a 3c 0e 2b 57 f8 87 15 03 03 00 12 |Dc...<.+W.......| -00000020 94 51 a6 05 23 16 fd 7a f2 cf 0c 14 f7 40 a3 ac |.Q..#..z.....@..| -00000030 86 72 |.r| +00000000 17 03 03 00 16 6b 74 2b 06 24 89 38 b8 ae 45 9e |.....kt+.$.8..E.| +00000010 4d 3c 55 07 48 f1 d5 27 73 2e 4d 15 03 03 00 12 |M>> Flow 1 (client to server) -00000000 16 03 01 01 19 01 00 01 15 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 1b 01 00 01 17 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,22 +7,22 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 9a 00 05 00 05 01 00 00 00 00 00 0a 00 |................| -00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 1e 00 |................| -000000a0 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff 01 00 |..........a.b...| -000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| -000000d0 02 03 01 00 33 00 47 00 45 00 17 00 41 04 1e 18 |....3.G.E...A...| -000000e0 37 ef 0d 19 51 88 35 75 71 b5 e5 54 5b 12 2e 8f |7...Q.5uq..T[...| -000000f0 09 67 fd a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b |.g..$ >.V...(^.+| -00000100 2d 4f 9e f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 |-O....lK[.V.2B.X| -00000110 b6 d7 49 a6 b5 68 1a 41 03 56 6b dc 5a 89 |..I..h.A.Vk.Z.| +00000080 01 00 00 9c 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 20 00 |.............. .| +000000a0 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 ff |..........a.b...| +000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| +000000d0 03 03 02 03 01 00 33 00 47 00 45 00 17 00 41 04 |......3.G.E...A.| +000000e0 1e 18 37 ef 0d 19 51 88 35 75 71 b5 e5 54 5b 12 |..7...Q.5uq..T[.| +000000f0 2e 8f 09 67 fd a7 24 20 3e b2 56 1c ce 97 28 5e |...g..$ >.V...(^| +00000100 f8 2b 2d 4f 9e f1 07 9f 6c 4b 5b 83 56 e2 32 42 |.+-O....lK[.V.2B| +00000110 e9 58 b6 d7 49 a6 b5 68 1a 41 03 56 6b dc 5a 89 |.X..I..h.A.Vk.Z.| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 6d bd 38 76 60 |....Y...U..m.8v`| -00000010 0d fe e0 2a 7c 7e 4e 95 27 58 2b 72 e3 47 71 5b |...*|~N.'X+r.Gq[| -00000020 c1 49 ca 65 46 e0 97 60 50 f5 e2 20 0c fa 31 27 |.I.eF..`P.. ..1'| -00000030 1e a9 51 28 51 61 89 a1 38 22 59 db b9 3f e0 af |..Q(Qa..8"Y..?..| -00000040 59 d2 a2 44 c0 d0 1d 3a b9 49 13 0b c0 2f 00 00 |Y..D...:.I.../..| +00000000 16 03 03 00 59 02 00 00 55 03 03 c7 2c fe 84 bc |....Y...U...,...| +00000010 a4 2a 42 11 a2 66 58 8f c0 e1 c8 73 da d7 94 c8 |.*B..fX....s....| +00000020 6c 43 e8 6e c0 e0 3f 42 dd d4 a4 20 13 4e 56 35 |lC.n..?B... .NV5| +00000030 14 54 97 22 38 6d d6 fc 22 17 e8 d3 d8 5d 12 22 |.T."8m.."....]."| +00000040 9e c7 c1 e5 fc 53 8c 3f 24 05 d4 be c0 2f 00 00 |.....S.?$..../..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -62,19 +62,19 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 cd 0c 00 00 c9 03 00 17 41 04 ed d3 62 7b eb ab |........A...b{..| -000002d0 75 0d b6 05 b3 07 ea 8e 0a 8e a7 f2 da 23 47 a0 |u............#G.| -000002e0 1a c5 d9 c4 58 fb a0 39 ef cf 24 82 60 73 1b a8 |....X..9..$.`s..| -000002f0 7a 39 0d 38 6f aa bf d6 2d 02 e7 04 10 8c 3d dd |z9.8o...-.....=.| -00000300 a5 8f 73 10 6e c6 8f c1 8f 22 08 04 00 80 6d 83 |..s.n...."....m.| -00000310 e6 c4 3b 46 ca e0 a6 04 38 45 3b 9a 5c f5 1c 8c |..;F....8E;.\...| -00000320 da ad d7 74 44 f2 20 f4 25 0f 1d 7b 59 9d 89 9e |...tD. .%..{Y...| -00000330 b3 c0 60 a0 28 9d 43 c7 53 71 16 c9 a6 91 7f 5f |..`.(.C.Sq....._| -00000340 ea 7f cb 36 17 65 2c 0c dc 79 47 99 8f bc 61 df |...6.e,..yG...a.| -00000350 c3 72 dc 3b 87 4d 63 35 72 df c2 a3 25 af 72 da |.r.;.Mc5r...%.r.| -00000360 48 d2 10 6d 07 fe 21 4e 06 f8 72 25 60 d4 9b 81 |H..m..!N..r%`...| -00000370 48 a8 54 50 3e 6a 3c 83 19 8a 3d f0 1b 44 ca 63 |H.TP>j<...=..D.c| -00000380 9b af f1 e8 ce 62 51 f5 ae 34 b7 c4 55 6c 16 03 |.....bQ..4..Ul..| +000002c0 cd 0c 00 00 c9 03 00 17 41 04 6e 5a 7b 43 16 a9 |........A.nZ{C..| +000002d0 ea 61 fd 21 c7 d9 e4 a0 48 5a a3 a2 6b a2 03 f6 |.a.!....HZ..k...| +000002e0 44 63 6d af 59 59 a8 46 b2 c2 25 a2 21 cf 3e ad |Dcm.YY.F..%.!.>.| +000002f0 30 35 d2 1f d7 64 f8 8b 1a 83 43 24 48 72 ca ad |05...d....C$Hr..| +00000300 9e 67 0e 68 cd 3e ea a6 a4 c6 08 04 00 80 28 d2 |.g.h.>........(.| +00000310 64 ff 1f 04 2d 1f 96 9f e2 a6 88 27 b7 d3 a5 7f |d...-......'....| +00000320 8c 09 8f 92 57 87 b2 bd 11 e9 08 9e ee 29 83 2f |....W........)./| +00000330 94 7b 3b 5c 8b 26 27 93 8f 22 d3 8f 53 40 b4 53 |.{;\.&'.."..S@.S| +00000340 2b ec f5 02 d6 83 79 be 10 5b 50 a9 0b 2f 39 0f |+.....y..[P../9.| +00000350 ad 01 2d 4e 4e 2a 02 3c 06 53 fb 69 ac 34 65 f4 |..-NN*.<.S.i.4e.| +00000360 ae d7 98 3b 85 b9 b1 45 85 b0 1b af dc 86 bb 25 |...;...E.......%| +00000370 e8 e2 12 c8 44 83 e2 25 a5 22 76 45 71 f9 a7 e4 |....D..%."vEq...| +00000380 f8 39 de 94 b7 db 20 6e 7d e8 6e 80 8b 34 16 03 |.9.... n}.n..4..| 00000390 03 00 04 0e 00 00 00 |.......| >>> Flow 3 (client to server) 00000000 16 03 03 00 46 10 00 00 42 41 04 1e 18 37 ef 0d |....F...BA...7..| @@ -82,17 +82,17 @@ 00000020 a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b 2d 4f 9e |.$ >.V...(^.+-O.| 00000030 f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 b6 d7 49 |...lK[.V.2B.X..I| 00000040 a6 b5 68 1a 41 03 56 6b dc 5a 89 14 03 03 00 01 |..h.A.Vk.Z......| -00000050 01 16 03 03 00 28 00 00 00 00 00 00 00 00 3d e1 |.....(........=.| -00000060 83 98 13 36 f1 46 54 97 94 f3 79 b4 13 49 af 6d |...6.FT...y..I.m| -00000070 f2 38 d4 5e c4 ce 43 9e 56 c3 3a f3 62 63 |.8.^..C.V.:.bc| +00000050 01 16 03 03 00 28 00 00 00 00 00 00 00 00 9f 17 |.....(..........| +00000060 19 4f e0 e4 e0 af c5 64 71 75 2c fd 89 da 02 45 |.O.....dqu,....E| +00000070 93 31 12 52 5b e8 99 48 81 a4 72 7d 0f 6f |.1.R[..H..r}.o| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 48 48 cb 08 18 |..........(HH...| -00000010 4c 38 35 7e 12 28 87 3b fc 3d 1c 78 2b 5a 30 da |L85~.(.;.=.x+Z0.| -00000020 08 a7 b4 c3 77 e7 80 15 a8 41 fc b3 2d 48 9f 59 |....w....A..-H.Y| -00000030 7f 5d 2f |.]/| +00000000 14 03 03 00 01 01 16 03 03 00 28 bf db dd 46 6d |..........(...Fm| +00000010 b7 35 b9 f0 99 41 b9 d4 c1 0d d7 c0 c6 c4 14 4f |.5...A.........O| +00000020 fd 43 f7 72 ae 70 e9 fc 59 80 d8 2a 16 d2 77 19 |.C.r.p..Y..*..w.| +00000030 b1 3a 67 |.:g| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 64 1f 8a |.............d..| -00000010 9f 8f dd 45 33 48 98 51 ee 7c 41 43 93 ef 1b 01 |...E3H.Q.|AC....| -00000020 f6 ec 37 15 03 03 00 1a 00 00 00 00 00 00 00 02 |..7.............| -00000030 6b d3 04 a0 e3 f2 82 a3 ca d1 cb e4 44 e2 17 10 |k...........D...| -00000040 a4 6d |.m| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 f9 e4 58 |...............X| +00000010 1f 57 ec 4b 00 88 43 30 ee ca 88 45 17 33 bd cd |.W.K..C0...E.3..| +00000020 66 93 73 15 03 03 00 1a 00 00 00 00 00 00 00 02 |f.s.............| +00000030 ee 3f 79 3e 97 f6 b0 9d c5 13 fe 8e 3d c2 6b a3 |.?y>........=.k.| +00000040 88 13 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 index 115ef86d00d..4fd7ea6a758 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 +++ b/src/crypto/tls/testdata/Client-TLSv12-RSA-RC4 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 51 02 00 00 4d 03 03 50 ba 95 0c fd |....Q...M..P....| -00000010 2c a2 d6 58 47 88 4f 03 c6 67 a9 66 a5 53 01 60 |,..XG.O..g.f.S.`| -00000020 ea 75 94 a4 cc a6 af 8e bf 8b 25 20 bf 55 33 0f |.u........% .U3.| -00000030 ba 66 b6 5c de e2 11 56 34 fe da 3a af b6 c4 47 |.f.\...V4..:...G| -00000040 c0 a5 0d cb 1b dc fd 8c 02 e9 2a a7 00 05 00 00 |..........*.....| +00000000 16 03 03 00 51 02 00 00 4d 03 03 f8 4b 13 f3 20 |....Q...M...K.. | +00000010 30 5e 64 97 04 98 61 6e 69 7b d0 41 05 4f e8 ea |0^d...ani{.A.O..| +00000020 46 2c b3 54 f4 a7 03 e5 87 2c 5a 20 62 d5 58 55 |F,.T.....,Z b.XU| +00000030 93 31 5a fa 65 50 ad 9d 8b f6 8d db 41 75 90 a5 |.1Z.eP......Au..| +00000040 17 d9 5b 45 f4 42 11 a7 c2 0d c9 13 00 05 00 00 |..[E.B..........| 00000050 05 ff 01 00 01 00 16 03 03 02 59 0b 00 02 55 00 |..........Y...U.| 00000060 02 52 00 02 4f 30 82 02 4b 30 82 01 b4 a0 03 02 |.R..O0..K0......| 00000070 01 02 02 09 00 e8 f0 9d 3f e2 5b ea a6 30 0d 06 |........?.[..0..| @@ -71,15 +71,15 @@ 00000060 c5 70 0f 08 83 48 e9 48 ef 6e 50 8b 05 7e e5 84 |.p...H.H.nP..~..| 00000070 25 fa 55 c7 ae 31 02 27 00 ef 3f 98 86 20 12 89 |%.U..1.'..?.. ..| 00000080 91 59 28 b4 f7 d7 af d2 69 61 35 14 03 03 00 01 |.Y(.....ia5.....| -00000090 01 16 03 03 00 24 8b b0 b8 36 2c a0 84 fa 74 c4 |.....$...6,...t.| -000000a0 87 13 1f 9b e9 e6 0b 33 9e b2 1c 3a 14 73 9e 22 |.......3...:.s."| -000000b0 2e ad 56 35 2b d2 20 12 ef 1b |..V5+. ...| +00000090 01 16 03 03 00 24 ca ed 08 ea 45 2a a7 f0 ab 08 |.....$....E*....| +000000a0 c8 ff ed c5 08 4d 2f 1d c8 35 74 61 0d 6f 92 c9 |.....M/..5ta.o..| +000000b0 53 25 93 6e 99 b4 3c 0b 91 24 |S%.n..<..$| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 24 a3 c8 a3 5a 50 |..........$...ZP| -00000010 b1 b5 45 e4 1c 15 fa f8 cd ec d2 20 90 01 65 19 |..E........ ..e.| -00000020 4b 92 9f c8 9a 5c 5a 3c c1 3d b1 a9 9b b1 70 |K....\Z<.=....p| +00000000 14 03 03 00 01 01 16 03 03 00 24 17 86 70 b3 7c |..........$..p.|| +00000010 06 f8 3a 5b ea 8b c6 c8 98 c3 18 e4 99 8f 05 1c |..:[............| +00000020 e6 1a b1 20 31 0b f4 ad d8 22 47 64 f4 05 a9 |... 1...."Gd...| >>> Flow 5 (client to server) -00000000 17 03 03 00 1a 74 af 32 cd cd 6c 35 ce b2 89 fd |.....t.2..l5....| -00000010 92 39 55 22 29 5a 4b 29 74 72 c4 b0 de 27 b5 15 |.9U")ZK)tr...'..| -00000020 03 03 00 16 80 bf 3e e6 7c b3 93 86 36 30 b5 1f |......>.|...60..| -00000030 fe ce 73 a4 4d 65 50 13 f3 ad |..s.MeP...| +00000000 17 03 03 00 1a 9d 21 96 cd c1 89 b9 6f 5a 9a e0 |......!.....oZ..| +00000010 26 60 93 ff a8 a2 6a d2 01 dd be d7 4e 37 f0 15 |&`....j.....N7..| +00000020 03 03 00 16 0f 9c c4 e5 dc c1 1c 0a 45 32 1d d2 |............E2..| +00000030 2a fb d2 59 17 69 78 a0 a7 6a |*..Y.ix..j| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce index a46ef2653f1..38e08f07033 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateOnce @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 95 08 0c ad fc |....Y...U.......| -00000010 3d f7 56 35 38 50 69 32 7d de cc fc 42 7d 8a 70 |=.V58Pi2}...B}.p| -00000020 7e db 1a 0d 3f 82 16 9d 65 f3 f9 20 dc 67 8c 37 |~...?...e.. .g.7| -00000030 d2 0f e9 5d 25 e4 13 26 a8 61 20 95 2e 6e ac 07 |...]%..&.a ..n..| -00000040 a5 28 40 cf 91 2b d6 e4 29 c8 68 c9 cc a8 00 00 |.(@..+..).h.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 98 94 40 cb 60 |....Y...U....@.`| +00000010 7b 16 05 6c 06 29 ea a5 dc 72 ff 3f 03 54 3a 8e |{..l.)...r.?.T:.| +00000020 7c 94 11 56 97 db 33 e3 82 cd ec 20 8f e2 9c 88 ||..V..3.... ....| +00000030 3f d1 a2 bb b6 bb 0b 5f 19 c3 23 13 2a d9 04 cd |?......_..#.*...| +00000040 e5 f3 7d 88 c8 55 f7 3e 1b 86 c4 e5 cc a8 00 00 |..}..U.>........| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,185 +61,186 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 98 e7 c3 45 a5 ae a9 |........ ...E...| -000002d0 51 2c 82 8f 3a 43 e0 e6 95 e5 7b 6d a6 76 4b 5c |Q,..:C....{m.vK\| -000002e0 69 ef 4d 9d 4a 2d 81 ef 4d 08 04 00 80 a3 fa b5 |i.M.J-..M.......| -000002f0 c1 1c 3d 73 f3 72 49 34 81 05 07 57 94 43 35 da |..=s.rI4...W.C5.| -00000300 ae 51 51 9e f3 63 b5 be 32 3c 5a cb 16 5f 7d 6c |.QQ..c..2...h.5.@...L.| -00000340 08 ff 99 f7 14 83 fa a7 56 74 33 81 92 ae 4d 2c |........Vt3...M,| -00000350 0e 48 60 13 c1 85 ec 7f 54 57 1d 9c ce e0 09 64 |.H`.....TW.....d| -00000360 0c 0d 89 7a bd a1 26 0a 84 5a f8 27 ea 16 03 03 |...z..&..Z.'....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 b8 7d 4b 03 c2 6b 43 |........ .}K..kC| +000002d0 e2 c4 6f 3e 49 09 09 1d f8 a8 06 8e c7 7d 62 ad |..o>I........}b.| +000002e0 8a 60 9d b9 ed 46 3c d4 03 08 04 00 80 58 fb c4 |.`...F<......X..| +000002f0 e4 0e 7b 54 46 d2 d1 98 b3 75 0f e2 78 bc 44 89 |..{TF....u..x.D.| +00000300 fb 74 47 15 8b fe 2f 89 04 fb d4 8d ba df 34 24 |.tG.../.......4$| +00000310 f0 a8 26 1f 0e 6f b2 f7 20 bf c6 11 83 8e 62 7f |..&..o.. .....b.| +00000320 56 5e 36 97 a3 f1 3a 81 06 4d c4 c2 bb e3 80 aa |V^6...:..M......| +00000330 7f f2 41 58 8e e7 19 da 03 73 01 31 f1 b0 bf e2 |..AX.....s.1....| +00000340 8a 73 fc 09 26 2b 12 d3 07 bd bf 21 fd 7a 2f b8 |.s..&+.....!.z/.| +00000350 05 db c8 e7 4e 88 17 1a 65 47 f8 71 c5 91 15 47 |....N...eG.q...G| +00000360 54 bd cf a7 dc f9 4b 93 d1 cd 57 bc 7b 16 03 03 |T.....K...W.{...| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 38 2d 13 52 78 cb aa 88 90 4c 6f |.... 8-.Rx....Lo| -00000040 ed 16 f1 7b ce 92 8a a1 e6 bb 4a 41 3e 07 fd 1f |...{......JA>...| -00000050 77 9b 9c 07 23 |w...#| +00000030 16 03 03 00 20 9b 6c 14 75 9a 5c ba 07 48 75 ba |.... .l.u.\..Hu.| +00000040 f7 37 50 b7 4b 8e 73 cf 0d 75 5e ad 7c ac 84 e4 |.7P.K.s..u^.|...| +00000050 ea 0c 5d ce 72 |..].r| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 c0 39 a4 50 78 |.......... .9.Px| -00000010 f9 f2 90 94 9a 37 86 1d 4d c8 cd 97 42 3b 16 f7 |.....7..M...B;..| -00000020 d0 d2 62 fc 24 be cc 5a 35 b6 3c |..b.$..Z5.<| +00000000 14 03 03 00 01 01 16 03 03 00 20 65 ef 4e 87 51 |.......... e.N.Q| +00000010 f2 95 98 46 ef 0b 44 81 c4 52 eb 51 bf 40 29 19 |...F..D..R.Q.@).| +00000020 b7 34 38 73 a1 d4 ac 5c 05 87 12 |.48s...\...| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 4d 5e 4c 05 2a 8b 11 05 47 50 ba |.....M^L.*...GP.| -00000010 2a f5 b8 b6 5a 52 ff 84 c3 1b 05 |*...ZR.....| +00000000 17 03 03 00 16 36 e0 de e1 5d 42 a5 95 a2 60 9f |.....6...]B...`.| +00000010 f5 ef 5f 01 84 fa 64 c0 57 d7 55 |.._...d.W.U| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 0d af ce 76 5f 76 d5 fb ff 14 28 |........v_v....(| -00000010 40 89 37 a2 ef ac 05 61 fe |@.7....a.| +00000000 16 03 03 00 14 88 3e 2d bd 59 e6 d3 a1 a6 5a b5 |......>-.Y....Z.| +00000010 94 08 13 ae c2 a1 fb 2f b3 |......./.| >>> Flow 7 (client to server) -00000000 16 03 03 01 1a 9f ec ca e8 42 1b 54 c2 50 bf 99 |.........B.T.P..| -00000010 98 0d 66 44 d1 27 b7 a5 04 7b d5 6b aa 46 b9 1e |..fD.'...{.k.F..| -00000020 31 66 c8 49 c7 80 c0 01 35 78 3f 80 95 e0 ac 79 |1f.I....5x?....y| -00000030 e0 59 04 fe 6d 2b ca b6 cc 90 ad 38 22 7c 23 0c |.Y..m+.....8"|#.| -00000040 11 a3 4c 48 cb e7 89 7f 1e 64 0b 1d 5b 26 1b c0 |..LH.....d..[&..| -00000050 14 94 d1 a3 1c 93 ab c6 8c c4 42 69 0b 6e a2 e0 |..........Bi.n..| -00000060 df 32 d1 6f a6 1a 64 86 ea 3f b3 ef af 44 ff 83 |.2.o..d..?...D..| -00000070 fa 36 f7 51 78 3d e2 11 06 1c 2c 86 59 a4 ff 95 |.6.Qx=....,.Y...| -00000080 26 74 c9 33 50 ba 21 ab fb da e4 b9 62 86 fd 3a |&t.3P.!.....b..:| -00000090 c2 a0 3b 3e cf ab 11 e4 4b 9b d3 3f cf b2 59 c7 |..;>....K..?..Y.| -000000a0 30 8c 4e 6b be 22 74 66 6b a5 43 f3 b8 58 13 4c |0.Nk."tfk.C..X.L| -000000b0 77 3d c4 84 6a b8 58 5b c2 1b b9 3a 22 f6 06 a4 |w=..j.X[...:"...| -000000c0 53 d7 88 37 06 f5 ed b7 a8 64 8f af e3 08 a8 e4 |S..7.....d......| -000000d0 58 8f 3a 26 8f 99 5d e2 58 3a d1 d6 af 46 98 2a |X.:&..].X:...F.*| -000000e0 22 64 b4 27 00 ed 98 14 7f 22 0c 42 d6 11 79 73 |"d.'.....".B..ys| -000000f0 61 76 8f 26 93 06 bf 5f 8e b0 93 4a 65 16 70 14 |av.&..._...Je.p.| -00000100 7f 98 f2 60 b4 7b f8 58 ae 4a 61 26 eb 1a e3 26 |...`.{.X.Ja&...&| -00000110 a8 2b 4d cd 3e c5 4e 82 8a 17 c6 86 43 fc e1 |.+M.>.N.....C..| +00000000 16 03 03 01 1c b0 7d db 19 c9 be 9e 1a a1 98 d6 |......}.........| +00000010 a8 3e 9f 10 df 75 1c ff 2c cc 97 50 9f 7b 57 8b |.>...u..,..P.{W.| +00000020 64 04 ed 39 07 ad 98 64 9a 98 d8 ad 04 89 f8 e5 |d..9...d........| +00000030 ab d6 73 cf 30 53 05 e8 9d 3e 7d b9 09 ee 01 1a |..s.0S...>}.....| +00000040 a6 91 f5 df 9d 35 28 0c b9 ae 91 a0 54 8f a2 84 |.....5(.....T...| +00000050 ba c6 e9 e7 1c 51 0f d5 70 c6 ed a3 d8 c1 fa 11 |.....Q..p.......| +00000060 8a 1f 04 c0 b2 ee a6 08 24 63 44 9e fe aa 2d 5a |........$cD...-Z| +00000070 05 c7 87 23 c4 20 65 08 48 0e 1f bc a6 9a db 76 |...#. e.H......v| +00000080 5d f5 29 c3 5b 5b ec 59 68 c5 70 98 7d 90 35 97 |].).[[.Yh.p.}.5.| +00000090 3b 1c 6f 24 21 30 47 eb 22 2f ed a8 9b 6a 59 4b |;.o$!0G."/...jYK| +000000a0 91 70 b4 2e c2 18 3e 14 26 be 1e 25 4e e9 64 00 |.p....>.&..%N.d.| +000000b0 be 40 6c 40 0d d5 25 99 f1 35 a9 40 a3 7f 08 79 |.@l@..%..5.@...y| +000000c0 94 85 9c b1 90 60 4b e3 f6 91 1d d0 dd 22 6a 03 |.....`K......"j.| +000000d0 ed cf 2c 6e 21 c8 29 78 4d f8 ec 68 2b ed e8 0f |..,n!.)xM..h+...| +000000e0 6a 01 8d 4b 57 b4 f2 fb 8a f6 5f 56 78 9c d5 28 |j..KW....._Vx..(| +000000f0 7e 85 86 b5 e4 4d 38 78 ad 46 17 5b 6a 0a 2f 5e |~....M8x.F.[j./^| +00000100 ae 52 c6 85 40 3e e7 84 36 60 58 4a 50 4d 72 92 |.R..@>..6`XJPMr.| +00000110 b4 d1 b4 8e 54 68 c7 61 be 63 f8 a5 a6 47 5c 77 |....Th.a.c...G\w| +00000120 87 |.| >>> Flow 8 (server to client) -00000000 16 03 03 00 81 03 e2 f7 40 69 b3 38 8b 9c 12 30 |........@i.8...0| -00000010 da 84 7a 88 9e ae 86 1e 33 36 a2 06 d1 fc af 2e |..z.....36......| -00000020 23 54 46 9d 76 2b 37 73 d8 f6 90 1b 32 3e 83 60 |#TF.v+7s....2>.`| -00000030 84 54 b7 b3 01 2a 1b 0e e6 55 29 bb ee 60 c4 ea |.T...*...U)..`..| -00000040 e8 11 57 9b 1b 40 97 5f 0b 52 5d 9b b8 44 b2 3d |..W..@._.R]..D.=| -00000050 51 ee 8a 50 b4 a2 70 cb d8 f8 2a d5 da fb d6 9e |Q..P..p...*.....| -00000060 f0 51 7c 20 87 de d8 25 eb 04 56 0c 82 16 91 2b |.Q| ...%..V....+| -00000070 31 4a f7 0a 78 5f fa f1 6c 68 47 ec 49 c3 38 b1 |1J..x_..lhG.I.8.| -00000080 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-00000340 86 6b 7e ea 1c 7e d1 c4 60 41 64 99 49 dd 46 4a |.k~..~..`Ad.I.FJ| -00000350 24 9c a6 d8 1d 28 03 f3 94 ce 8c 09 64 c0 93 19 |$....(......d...| -00000360 ca 4a 60 30 f0 1a 21 0c ae 78 f6 c3 7e 90 b7 71 |.J`0..!..x..~..q| -00000370 2d 5b d5 0a dc 7e 2f c6 61 f9 6d 18 9f ae a0 27 |-[...~/.a.m....'| -00000380 3b 3a 5e 4c e8 60 df 87 72 79 9a 9f f4 09 90 ec |;:^L.`..ry......| -00000390 64 80 18 c3 60 2c d1 26 30 27 7a 71 cb c3 f8 c1 |d...`,.&0'zq....| -000003a0 fa 17 eb 96 82 27 5d d9 42 26 09 95 ae b7 6b 8a |.....'].B&....k.| -000003b0 98 50 4b 8b 23 16 03 03 00 4a 0e 47 57 da 14 22 |.PK.#....J.GW.."| -000003c0 28 27 67 ee 27 9a 48 cf 35 9e ba a2 40 e1 8d ef |('g.'.H.5...@...| -000003d0 2c 28 02 0f 66 d5 81 6e cf d8 ad 98 d7 d0 44 d9 |,(..f..n......D.| -000003e0 b9 04 d8 ce b4 44 55 1a b6 97 d2 31 a1 4b b8 98 |.....DU....1.K..| -000003f0 2b f3 04 c2 58 b0 fe 1a 1e bf cf 9f 65 99 18 3e |+...X.......e..>| -00000400 2d 1d 68 52 16 03 03 00 14 ff 25 38 d4 2e 28 e2 |-.hR......%8..(.| 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cb 8e |ET.r.....#X.....| +000001b0 1d d3 03 d7 1d c6 02 9c 3e 16 92 73 f1 bc ee a1 |........>..s....| +000001c0 ae fa 57 86 27 01 2e ad 37 6e 90 96 e9 b8 3c 56 |..W.'...7n......@6|.s;B| +00000200 97 a6 be 6b 43 b3 70 ed 1d f4 cb 39 5d 85 bc e0 |...kC.p....9]...| +00000210 3d 9e 02 47 ca 3d c4 aa 2b 49 29 e8 47 e9 f8 e0 |=..G.=..+I).G...| +00000220 43 ab 83 20 fa 28 dc 99 c5 6d 7c 34 4f da 4c 27 |C.. .(...m|4O.L'| +00000230 f9 6b 39 6a 8c d5 66 9d a6 18 da c1 2a fc 34 c6 |.k9j..f.....*.4.| +00000240 b7 de ce 51 d4 ee d8 2f 25 26 7f 43 20 a8 2b bd |...Q.../%&.C .+.| +00000250 73 4d 33 7b 9e b2 a3 85 60 44 a6 ce 7c d8 b5 38 |sM3{....`D..|..8| +00000260 73 90 82 ea 0c 45 40 2c f7 e2 ad ae f3 41 16 03 |s....E@,.....A..| +00000270 03 00 35 ab 86 d3 1e 58 85 06 11 db be 23 13 b7 |..5....X.....#..| +00000280 13 f2 a5 c1 71 48 ab 67 0e 34 07 dd ec ef 6d 83 |....qH.g.4....m.| +00000290 49 56 2b ff 8f 02 13 78 e3 7b b3 6a 1f 57 46 54 |IV+....x.{.j.WFT| +000002a0 59 38 d2 dd ee 7c 76 e1 16 03 03 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e2 ff b9 52 f2 |HJ.....Z......R.| >>> Flow 10 (server to client) -00000000 14 03 03 00 11 f0 fa 4f 15 25 3c 35 61 19 b7 ca |.......O.%<5a...| -00000010 47 c5 3c c3 c5 38 16 03 03 00 20 42 b9 ea ab c7 |G.<..8.... B....| -00000020 68 54 79 de 17 51 60 26 f1 8c db 99 a4 30 a4 6d |hTy..Q`&.....0.m| -00000030 58 a6 89 49 bd ba f7 8c ad 97 e3 17 03 03 00 19 |X..I............| -00000040 92 2f ad 63 1a ad f6 5c 64 3c 11 78 3c 02 69 1c |./.c...\d<.x<.i.| -00000050 3d d2 8f 10 61 6f 9f 27 a7 |=...ao.'.| +00000000 14 03 03 00 11 00 65 41 e8 ef db 97 da 21 43 96 |......eA.....!C.| +00000010 c3 99 f6 ee 51 d9 16 03 03 00 20 9d 2d 5a e1 0a |....Q..... .-Z..| +00000020 1e 37 42 90 17 84 ba 09 69 4c 2b 77 68 9b 87 65 |.7B.....iL+wh..e| +00000030 bc c3 df 43 44 15 62 3e cb 26 55 17 03 03 00 19 |...CD.b>.&U.....| +00000040 5d 2b 1f ed 88 2b 3b b5 fa 52 3c 45 1a 13 23 87 |]+...+;..R>> Flow 11 (client to server) -00000000 15 03 03 00 12 fb d8 9d 6c ab 93 38 f8 6c 3d 5f |........l..8.l=_| -00000010 c7 ad c8 b6 b5 90 58 |......X| +00000000 15 03 03 00 12 25 53 9c b7 f2 c8 d4 52 85 bf 93 |.....%S.....R...| +00000010 1f d8 7a d6 ea 08 e3 |..z....| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice index 6cf2022c6f2..6e2f288cca0 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwice @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 2e 4e b7 07 96 |....Y...U...N...| -00000010 9b 37 75 6e 0b 13 7f 5d 8f 93 7c 9f a7 04 0e e6 |.7un...]..|.....| -00000020 3f b1 04 44 10 58 8f 5e 2b 0a 1e 20 e5 2d e9 7c |?..D.X.^+.. .-.|| -00000030 b3 ad 99 40 d6 67 9a 42 90 fe 7d 70 47 83 02 f0 |...@.g.B..}pG...| -00000040 2f 47 a1 e0 cb 2a 33 19 20 0b 78 6d cc a8 00 00 |/G...*3. .xm....| +00000000 16 03 03 00 59 02 00 00 55 03 03 90 ca c9 b4 3a |....Y...U......:| +00000010 06 58 7d 40 cb b9 b0 62 73 8c 03 98 52 7b c1 30 |.X}@...bs...R{.0| +00000020 d9 d0 cc 7d 23 83 6a 0b cc e7 63 20 29 36 70 8e |...}#.j...c )6p.| +00000030 b1 f5 e3 e1 0e 02 4a d6 22 eb 63 3c bb b1 1a 81 |......J.".c<....| +00000040 82 03 fc 72 3a b4 0c 3e 72 cf d0 1e cc a8 00 00 |...r:..>r.......| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,284 +61,286 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 86 17 3e c2 25 03 2b |........ ..>.%.+| -000002d0 29 ec 69 4d 75 47 8f ed 3d 2d 46 50 62 99 66 63 |).iMuG..=-FPb.fc| -000002e0 62 40 15 a4 13 58 e1 68 2b 08 04 00 80 b2 7e d6 |b@...X.h+.....~.| -000002f0 a2 7c 55 4e 20 2b e6 83 41 30 d7 b2 f7 f0 eb 03 |.|UN +..A0......| -00000300 89 6e 43 22 35 7a ee b4 02 59 02 12 c2 0a 70 e5 |.nC"5z...Y....p.| -00000310 dd 26 24 27 dd 68 95 ea e5 22 74 59 55 94 c0 2f |.&$'.h..."tYU../| -00000320 70 4d 40 8d 5a d8 a7 c3 7a 40 39 65 11 71 f4 87 |pM@.Z...z@9e.q..| -00000330 79 23 43 ff 49 29 0b ae d1 2c d0 4e e3 36 26 cf |y#C.I)...,.N.6&.| -00000340 b6 32 69 4b f9 08 87 0f 2d 5b 22 12 b0 8b ba 55 |.2iK....-["....U| -00000350 18 e3 06 bf 3e 3b 74 01 9f ac 30 73 fb ac c1 40 |....>;t...0s...@| -00000360 b6 12 81 73 d0 0c 57 20 2c d6 a5 91 ac 16 03 03 |...s..W ,.......| +000002c0 ac 0c 00 00 a8 03 00 1d 20 ac f9 73 ff a4 25 a6 |........ ..s..%.| +000002d0 93 df 82 5a 21 3c 5d fc 19 ca 00 75 c2 cb fa 95 |...Z!<]....u....| +000002e0 ad c8 fe f6 d6 9f 3c 4b 3c 08 04 00 80 bc 07 6b |.......P..6| +00000340 16 8b f0 85 2f 08 49 c7 ba 40 e6 ad 15 64 82 6e |..../.I..@...d.n| +00000350 a3 a0 0c 54 4d d2 8c 80 3b 8e 08 39 01 51 20 06 |...TM...;..9.Q .| +00000360 17 99 98 aa 80 bd dd ec 97 8b d0 d7 bb 16 03 03 |................| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 85 06 62 a5 7d 27 7e 5d 5e 8b c5 |.... ..b.}'~]^..| -00000040 fe 0d 25 3e 11 80 1c a5 2a 0c cd e1 c1 4e 46 30 |..%>....*....NF0| -00000050 28 39 2e 40 36 |(9.@6| +00000030 16 03 03 00 20 0f 02 ef ff 39 17 cf ee e3 2e cb |.... ....9......| +00000040 3f 88 17 70 07 03 c7 1f 93 f8 d3 68 70 8c 96 aa |?..p.......hp...| +00000050 fe 93 1e 64 6f |...do| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 6d 19 42 de 78 |.......... m.B.x| -00000010 bf 9f 45 c1 9f ac 88 58 94 58 72 c6 7a 08 48 33 |..E....X.Xr.z.H3| -00000020 4b f9 c7 30 6d 54 11 32 25 d4 26 |K..0mT.2%.&| +00000000 14 03 03 00 01 01 16 03 03 00 20 ea a8 ad 11 19 |.......... .....| +00000010 c9 b9 c7 6e 66 f6 a3 00 31 ee 8e 67 04 2c 05 ae |...nf...1..g.,..| +00000020 2a e7 86 9e 74 a8 ca 6c 46 a4 ec |*...t..lF..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 00 d9 a6 05 34 35 4c 42 63 90 ee |.........45LBc..| -00000010 b4 78 f0 6b e2 a8 09 1c 0e 6e fc |.x.k.....n.| +00000000 17 03 03 00 16 49 80 66 a0 36 d6 75 5b dd 2b 31 |.....I.f.6.u[.+1| +00000010 43 9b 6d 51 06 16 d9 72 c4 e3 23 |C.mQ...r..#| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 18 81 ed d4 31 73 92 95 44 97 de |.........1s..D..| -00000010 81 a2 ef a2 6b e3 d4 28 d8 |....k..(.| +00000000 16 03 03 00 14 96 c8 80 4f 78 73 a2 44 54 0f 74 |........Oxs.DT.t| +00000010 7f f3 54 43 7e 69 a4 b0 7a |..TC~i..z| >>> Flow 7 (client to server) -00000000 16 03 03 01 1a 9b 19 97 bb 6b 6b 38 7b 76 f6 f0 |.........kk8{v..| -00000010 3b ae b6 b9 e3 63 39 6e f7 16 62 65 a6 cf 1d 0d |;....c9n..be....| -00000020 99 53 fc 44 01 01 0b b0 1c 5e be db c5 9a cc 57 |.S.D.....^.....W| -00000030 75 8d 32 5b a9 55 96 88 3b 2a fe 2d 66 de 8b 00 |u.2[.U..;*.-f...| -00000040 6a 57 11 dd d5 db 49 f5 4d 74 b4 e9 a8 4d 6d 77 |jW....I.Mt...Mmw| -00000050 34 02 6d e1 01 ce 73 82 b8 0b 69 39 a3 ab 1e 9d |4.m...s...i9....| -00000060 e2 8d db c3 e4 03 82 ce 87 1a 83 80 41 32 16 34 |............A2.4| -00000070 cd 75 0b 67 31 2c 35 6a a1 d6 82 46 44 85 04 dc |.u.g1,5j...FD...| -00000080 1b 16 24 8e 79 0e 12 5c 96 19 20 bb e6 55 12 83 |..$.y..\.. ..U..| -00000090 50 b1 25 3a aa 81 67 56 44 ef 75 fb 39 6a c5 00 |P.%:..gVD.u.9j..| -000000a0 60 60 b4 6b 07 db 9e 19 47 17 f9 65 04 33 54 49 |``.k....G..e.3TI| -000000b0 6a fe 75 a2 0a 31 ec 40 cf b1 34 26 de c2 84 96 |j.u..1.@..4&....| -000000c0 bc be 2d 99 b7 21 7b e3 a1 4b cc 03 9e 64 c4 83 |..-..!{..K...d..| -000000d0 c9 a3 d5 a7 1c 8a b8 87 56 ba c6 a3 82 d1 45 5b |........V.....E[| -000000e0 9b ee ab 8c db ce 12 03 2f bd 25 38 f2 0d b2 47 |......../.%8...G| -000000f0 98 db 63 83 fd 15 97 79 91 42 dc 01 73 d2 98 77 |..c....y.B..s..w| -00000100 0f a5 f8 39 8e 70 60 bf 9b 44 6c 67 0e 17 2c 17 |...9.p`..Dlg..,.| -00000110 2c ce 79 41 69 03 e1 80 c2 9b 13 0f c0 a9 2b |,.yAi.........+| +00000000 16 03 03 01 1c 25 68 1f dd 6c 4d 02 76 cd f0 50 |.....%h..lM.v..P| +00000010 35 a2 0d 77 aa ca 43 c8 93 c1 1b 6e c2 88 b6 5f |5..w..C....n..._| +00000020 d4 d5 a0 9a c5 a1 09 ef 53 47 f3 7a 19 0b c6 a5 |........SG.z....| +00000030 0c f5 90 39 b8 cd 92 0d 03 a8 39 08 42 ce 41 40 |...9......9.B.A@| +00000040 99 e6 1b f2 9e 5a a8 0f 38 60 70 2d 4a 96 45 7a |.....Z..8`p-J.Ez| +00000050 e2 93 a5 31 a0 88 ea b8 84 49 5c e7 2f f3 da 63 |...1.....I\./..c| +00000060 49 cd 77 82 28 a9 72 8e 1a af 40 96 bc 0a 32 11 |I.w.(.r...@...2.| +00000070 dd 35 f4 2a 13 ac 74 38 71 d6 ed c2 4c 45 85 65 |.5.*..t8q...LE.e| +00000080 5e fe ea 28 f7 d7 45 85 52 63 20 0c d9 22 a9 93 |^..(..E.Rc .."..| +00000090 ba 81 40 8f 27 4d 86 24 49 e8 8d e7 9f 74 62 69 |..@.'M.$I....tbi| +000000a0 c0 46 bd 56 33 92 27 73 2f f7 4f 54 17 72 cf 52 |.F.V3.'s/.OT.r.R| +000000b0 37 d9 0c 40 ae 57 ae 07 83 17 68 f1 2d ab e7 0c |7..@.W....h.-...| +000000c0 af 7e 65 d3 c6 38 54 c4 6b 22 36 cc 19 62 ee 49 |.~e..8T.k"6..b.I| +000000d0 3c 15 52 2d 2a 45 8f 79 2b 06 54 46 9b 47 b8 c8 |<.R-*E.y+.TF.G..| +000000e0 f8 42 f6 04 6b 2d c9 f2 78 c2 bb ef 22 9a 63 61 |.B..k-..x...".ca| +000000f0 69 a7 e4 af 5e 17 44 9b 70 ee 1d 07 0c 43 d4 b3 |i...^.D.p....C..| +00000100 dc f4 ec 27 f6 12 0a f3 a6 f3 32 50 db af b4 c7 |...'......2P....| +00000110 fa 38 77 de 13 45 d5 e7 c3 44 0b 4a 5b 66 bb 12 |.8w..E...D.J[f..| +00000120 50 |P| >>> Flow 8 (server to client) -00000000 16 03 03 00 81 c9 af 4e 8c 81 d4 d7 7f 0a 15 f8 |.......N........| -00000010 50 91 0f a2 be c2 5c 6b 84 a0 e5 41 d5 93 d4 ee |P.....\k...A....| -00000020 52 51 16 56 e4 c2 34 a6 d5 ad fd ca c7 a9 0f cf |RQ.V..4.........| -00000030 0c 02 4a 03 44 39 75 fc 9d 0a 8f b7 c4 04 a9 b2 |..J.D9u.........| -00000040 fd f3 2e c5 80 29 5f f8 56 c1 01 99 b9 37 ff 10 |.....)_.V....7..| -00000050 21 c5 01 a5 5d a7 3c 6f 97 ef 0c 0a aa 7b 9f 6f |!...]..5i..O| -00000070 78 06 b4 46 f9 5c 04 10 fc eb 61 43 74 51 9f 88 |x..F.\....aCtQ..| -00000080 4c 1c 2a c3 ba bc 16 03 03 02 69 54 69 00 33 2c |L.*.......iTi.3,| -00000090 07 4d c9 22 f9 5c 2e 73 7f c8 f5 d2 47 d8 89 9d |.M.".\.s....G...| -000000a0 22 2e 64 79 54 c4 fc d8 a5 b8 c1 c6 ee 4d 86 6a |".dyT........M.j| -000000b0 f0 8a 1c 71 e6 6a 13 f2 82 01 3b 05 48 83 40 af |...q.j....;.H.@.| -000000c0 34 45 23 78 07 99 6b 74 45 4d e7 d0 f9 5f 41 c1 |4E#x..ktEM..._A.| -000000d0 75 b2 da 37 52 c8 d7 b7 c7 3b d9 b4 7f 76 90 d0 |u..7R....;...v..| -000000e0 74 8c 12 f4 4f 29 83 75 6c 63 cc 7f f8 ee 27 d4 |t...O).ulc....'.| -000000f0 bb e6 29 c8 8f 8c f3 cd 68 89 4c cd 00 4b 7b 6c |..).....h.L..K{l| -00000100 25 b2 9f d6 a3 28 5d 1d 31 e6 b9 63 0e e6 4a a2 |%....(].1..c..J.| -00000110 86 53 4e 8e b4 a5 9a 05 f3 54 76 1c 43 5b a8 8b |.SN......Tv.C[..| -00000120 b5 52 19 a1 35 d1 87 86 dd 75 9d 7a 06 09 bf 51 |.R..5....u.z...Q| -00000130 72 8b ff 73 6e eb 13 01 7b 6b ab 1b 7b b7 c1 2f |r..sn...{k..{../| -00000140 32 00 2c 4b 16 4c cd a2 73 37 3e cd 70 ea 0f b7 |2.,K.L..s7>.p...| -00000150 ec 57 6d 07 ec c6 f9 fe a7 aa fa db 29 71 d1 2e |.Wm.........)q..| -00000160 91 4e 84 3b ee cf f8 7d c8 71 34 25 52 40 ab 99 |.N.;...}.q4%R@..| -00000170 94 0e d5 b7 bf 6f 40 6b 49 94 42 a2 81 83 56 a1 |.....o@kI.B...V.| -00000180 35 f6 70 13 92 11 e9 9c 34 f0 18 e5 a2 37 6a 67 |5.p.....4....7jg| -00000190 19 ef 37 03 b3 54 9b cb f6 36 44 ed 66 12 95 bf |..7..T...6D.f...| -000001a0 09 3b 0e 2e b4 27 75 a2 4c aa 17 85 2c d8 3f 89 |.;...'u.L...,.?.| -000001b0 82 f6 2c 02 fa 01 42 b8 4a 91 50 92 95 15 a2 0f |..,...B.J.P.....| -000001c0 30 a6 80 6b a4 33 b7 12 1b 1f da 9e 31 17 aa 93 |0..k.3......1...| -000001d0 bb 27 98 b9 9c ab 73 c6 5b 6d e9 63 e7 47 85 10 |.'....s.[m.c.G..| -000001e0 5e b6 64 ec bd b9 e7 86 72 e7 93 af 0b ab fa e7 |^.d.....r.......| -000001f0 64 85 00 0f d1 25 be 99 81 f3 a2 2d e8 cf fe 5b |d....%.....-...[| -00000200 eb 53 18 79 d9 cd ab 53 74 ce e6 bd 18 5c 17 13 |.S.y...St....\..| -00000210 dc 0e 00 59 55 2f 9d cc ec 1c 6b 99 8b 6d 9c 2b |...YU/....k..m.+| -00000220 74 9a 8a 65 8c 42 5c c6 85 b8 61 d4 05 66 41 bd |t..e.B\...a..fA.| -00000230 09 1d 96 6c fb af 0f 9d 34 b4 3d c3 c1 fb 38 60 |...l....4.=...8`| -00000240 43 bc 9a d7 57 cb ac e8 31 61 65 a5 66 9f 6f d7 |C...W...1ae.f.o.| -00000250 96 c7 19 21 a0 4e 18 e3 f6 f6 57 3f c5 63 89 85 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e3 6e f8 4f f0 a7 f8 41 e6 3a |..k}.,.n.O...A.:| +000002d0 9d 0b 8a 1e 90 3a c9 8a 69 60 3b 32 00 75 0d a8 |.....:..i`;2.u..| +000002e0 b8 76 05 a5 23 99 2a a0 49 c7 49 5a 7a 5a 29 5d |.v..#.*.I.IZzZ)]| +000002f0 ef ee 91 bd 16 03 03 00 bc 5a fa bb 7b 77 b6 34 |.........Z..{w.4| +00000300 38 37 8d 7b 8b e0 cd fa 2e 91 52 74 ba 9c 0e bf |87.{......Rt....| +00000310 29 45 ad 9f 84 af 3a 88 e7 fe c1 cf db 38 4a 35 |)E....:......8J5| +00000320 63 b6 5f 62 f8 1d 34 40 03 72 62 55 c3 f6 3c 4b |c._b..4@.rbU..[...+..0.CY.-| +00000350 b6 c3 4e 65 d3 81 22 ad d2 66 72 56 44 c0 c5 fe |..Ne.."..frVD...| +00000360 08 e0 b7 00 4e 03 e8 94 62 00 43 b9 18 ff fd 43 |....N...b.C....C| +00000370 e7 3c 6a 01 88 2d 4b 27 06 e6 c3 d1 0d 22 c1 60 |..&.....C.| >>> Flow 13 (client to server) -00000000 16 03 03 00 35 a7 07 ee 57 99 0b fe 5b aa 2b 81 |....5...W...[.+.| -00000010 b3 c8 bb b9 1e d7 93 97 24 89 e6 aa af 0e c8 9f |........$.......| -00000020 d6 a6 16 7e 13 a9 b1 e2 dd 07 e9 2d 30 44 09 0e |...~.......-0D..| -00000030 89 70 1e df ff 5a 0d 0e e5 1c 14 03 03 00 11 1b |.p...Z..........| -00000040 a0 23 e4 2c a9 e1 56 9f df 50 07 3e 69 3b a6 46 |.#.,..V..P.>i;.F| -00000050 16 03 03 00 20 f0 15 c1 8a c5 b0 60 a8 83 a8 b5 |.... ......`....| -00000060 bd 6a 92 33 e9 30 cd 08 c3 cd 35 62 b6 5c 5a 8c |.j.3.0....5b.\Z.| -00000070 ac b2 11 3c 81 |...<.| +00000000 16 03 03 00 35 c1 81 14 20 7c 44 9c f1 88 f0 49 |....5... |D....I| +00000010 22 e6 c6 10 d3 37 bb bc 8d 0a fe c3 35 cc c3 af |"....7......5...| +00000020 e3 2d 61 64 97 57 b0 0f 8d 1f 9f ae f4 7a 35 85 |.-ad.W.......z5.| +00000030 e2 81 1e 3a 6d b6 a7 d7 34 92 14 03 03 00 11 e3 |...:m...4.......| +00000040 f0 e6 ec 46 91 82 c3 81 93 75 6b e4 66 1c d9 4c |...F.....uk.f..L| +00000050 16 03 03 00 20 79 f9 0e 3a b5 36 d0 9f 8c 5a 8e |.... y..:.6...Z.| +00000060 2c 16 9f 9d 48 c8 d1 e8 5e 4f b5 70 a8 02 c6 6b |,...H...^O.p...k| +00000070 41 a0 82 bf 19 |A....| >>> Flow 14 (server to client) -00000000 14 03 03 00 11 a8 b9 55 a1 40 42 cb 62 6c 3f 92 |.......U.@B.bl?.| -00000010 0e b5 64 95 46 bc 16 03 03 00 20 c7 0c 53 a5 36 |..d.F..... ..S.6| -00000020 5e 03 ef e2 2c cc d9 e1 33 e3 e3 6b 0c b6 3c a9 |^...,...3..k..<.| -00000030 11 ad 96 f6 01 5f bd 35 3d 50 c0 17 03 03 00 19 |....._.5=P......| -00000040 fc 09 70 96 41 07 0b c5 6a 80 84 d4 f4 14 64 cd |..p.A...j.....d.| -00000050 70 1a ba 04 83 f7 42 b1 57 |p.....B.W| +00000000 14 03 03 00 11 28 b7 5d 06 32 1a a2 ab 4d de 93 |.....(.].2...M..| +00000010 bd 66 38 e9 31 bc 16 03 03 00 20 5f 44 a4 90 d5 |.f8.1..... _D...| +00000020 a0 24 e4 26 9b 17 c3 10 8c 2d c2 a4 b2 18 ff 6b |.$.&.....-.....k| +00000030 86 2d 74 89 29 3a 6d 42 25 f4 2e 17 03 03 00 19 |.-t.):mB%.......| +00000040 a6 3a fc e1 33 2f e2 67 6e 50 73 49 6e 30 3c 05 |.:..3/.gnPsIn0<.| +00000050 38 7b 8e a8 ab 60 48 1c 24 |8{...`H.$| >>> Flow 15 (client to server) -00000000 15 03 03 00 12 f2 c8 ee f2 b1 8b 81 4f a5 fe 5d |............O..]| -00000010 f0 90 66 2e 87 4e 2a |..f..N*| +00000000 15 03 03 00 12 5c c9 57 f2 8b ce 9c 53 08 57 fd |.....\.W....S.W.| +00000010 0d df ef b5 12 b7 2f |....../| diff --git a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected index 8ed63268214..075858a8fb2 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected +++ b/src/crypto/tls/testdata/Client-TLSv12-RenegotiateTwiceRejected @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 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a1 56 9a be 4f ae 96 16 03 |G....u..V..O....| -00000270 03 00 35 64 bf 1b 12 01 c5 5a 02 e9 a1 3d 05 68 |..5d.....Z...=.h| -00000280 d4 cd e5 53 71 ca b8 64 b8 81 69 12 d1 01 2b 06 |...Sq..d..i...+.| -00000290 4b c2 84 f8 72 79 c6 73 00 5c 1f a3 5d 53 1c 21 |K...ry.s.\..]S.!| -000002a0 71 5d 68 0c 62 7e 28 c0 16 03 03 00 98 ec c1 c0 |q]h.b~(.........| -000002b0 3c cc c0 5e 79 39 43 51 9c d2 e2 ca 33 d7 b7 ab |<..^y9CQ....3...| -000002c0 a7 3c 85 35 b0 aa e9 5d ab c7 a8 56 0f e4 d4 14 |.<.5...]...V....| -000002d0 62 12 19 3d e4 28 36 da 32 f5 5e 89 cf c6 73 f6 |b..=.(6.2.^...s.| -000002e0 24 79 27 e9 5e c7 6b 53 a3 ce 40 fc c5 20 97 1d |$y'.^.kS..@.. ..| -000002f0 a5 60 52 a1 6b f8 97 f6 d0 d8 9a 3f a4 d6 48 15 |.`R.k......?..H.| -00000300 34 9a e1 e1 ec 7b 12 12 c2 9a e3 fb 69 c8 ae e9 |4....{......i...| -00000310 50 53 4e de c2 2e 2e a5 7e 78 ba 10 59 bb aa 4f |PSN.....~x..Y..O| -00000320 46 05 63 c0 3a 81 26 b5 8a 4c 93 cf 5f b2 d0 f0 |F.c.:.&..L.._...| -00000330 d4 b4 61 61 a3 b5 ef 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f2 5a cd 94 fb 0c ab bd 66 |o..,..7.Z......f| +00000090 c2 e3 3f 71 98 8a 8b 17 0f 82 fd e9 49 d6 75 8e |..?q........I.u.| +000000a0 6c d4 7a 3c a2 ae 5c de 0f d6 73 9e 1d 54 a8 8c |l.z<..\...s..T..| +000000b0 ad e7 1a 20 bc 7d a1 2b 8b f9 63 35 69 e3 3f d0 |... .}.+..c5i.?.| +000000c0 50 e6 88 c6 af e6 e3 84 e5 d7 bc 11 da ab 09 08 |P...............| +000000d0 bc f7 26 38 f6 7c 53 cd 34 d2 fa 00 53 36 30 04 |..&8.|S.4...S60.| +000000e0 6f d0 38 bf 97 9f 08 51 72 10 f3 8b df 08 06 ed |o.8....Qr.......| +000000f0 f3 22 9d 5d c9 93 96 a1 62 8b e1 7f 7b 9b b9 57 |.".]....b...{..W| +00000100 a2 98 07 0d 5d ee af 28 a5 09 d2 83 ce f8 f8 d7 |....]..(........| +00000110 2d 60 5c 91 42 f5 ef c3 c7 7e de d7 87 f9 22 b4 |-`\.B....~....".| +00000120 57 ca 23 21 6b dd dc 83 93 dc 0c e7 26 34 d5 02 |W.#!k.......&4..| +00000130 cb 2a 1e 21 25 2c 9d 65 1a e0 df 40 ad af 07 e5 |.*.!%,.e...@....| +00000140 dd 24 c4 2e f5 8d 24 c5 91 da 00 bd 23 72 8e d5 |.$....$.....#r..| +00000150 93 87 b7 76 b8 65 e2 43 c5 56 da 76 97 a5 b1 47 |...v.e.C.V.v...G| +00000160 44 45 3e 69 d6 a4 59 90 df 7f c6 7d 2c c5 53 b1 |DE>i..Y....},.S.| +00000170 b0 69 cc af f0 8a 3c f6 9e 2b c1 a4 13 b6 f1 c2 |.i....<..+......| +00000180 d9 25 10 91 0d 7b e0 75 23 19 56 56 66 d3 8e 62 |.%...{.u#.VVf..b| +00000190 54 fe e7 11 bb 34 4b b1 e5 07 5d ad e5 6b 9b 06 |T....4K...]..k..| +000001a0 47 0a e6 67 84 03 00 b3 8d 64 54 c7 5f f7 ac c9 |G..g.....dT._...| +000001b0 b4 0d 84 2c 71 8f bf bf b8 3b cc e2 fe 65 db 76 |...,q....;...e.v| +000001c0 14 4e 68 2e 27 4e 7c 1e d7 d2 d5 f3 c1 e4 c9 ad |.Nh.'N|.........| +000001d0 d7 3e 8d 0b 1d d7 39 33 e7 7c 84 fa 51 d7 a8 77 |.>....93.|..Q..w| +000001e0 56 c2 8e ec a4 80 6f 5f 4f 20 12 85 bb fc aa 37 |V.....o_O .....7| +000001f0 1f 41 da 4a db e2 e6 e5 d8 29 20 f0 a5 a2 b8 ce |.A.J.....) .....| +00000200 87 c3 99 23 36 84 4e 6e 4e b2 d9 b9 eb a8 07 4e |...#6.NnN......N| +00000210 ae 92 05 9e 78 2d 12 56 94 d7 3f ec 80 61 43 d0 |....x-.V..?..aC.| +00000220 8f dd 88 90 46 b3 1a 50 be 97 23 a0 ad 2e 85 e5 |....F..P..#.....| +00000230 ae 1b 19 e4 e3 01 24 c3 3a 94 75 db 80 09 03 61 |......$.:.u....a| +00000240 3a 11 8d 4d 5b 70 50 07 2d 10 86 50 ec 8f be 59 |:..M[pP.-..P...Y| +00000250 c9 9e 64 9c 99 9a 97 14 0f be 6b 76 07 6f 27 e5 |..d.......kv.o'.| +00000260 29 15 9f 4e f9 67 7e 68 66 b1 a0 b7 7d 2d 16 03 |)..N.g~hf...}-..| +00000270 03 00 35 b5 1d 07 92 db 87 ff 27 7b 52 2b f0 38 |..5.......'{R+.8| +00000280 1c 35 d6 86 5e 3d b2 4a 60 82 c0 1a 52 9c e3 8d |.5..^=.J`...R...| +00000290 42 0d bf 04 0a dd af 44 ce 87 bf a6 09 f6 16 e0 |B......D........| +000002a0 98 64 d8 34 f1 24 c6 34 16 03 03 00 98 21 11 79 |.d.4.$.4.....!.y| +000002b0 69 ff 47 2e ef 78 c9 02 1e 9a a9 52 31 e2 1c 73 |i.G..x.....R1..s| +000002c0 2c 2e 06 4c 0e af 98 6b af 44 bc ef 36 ac 39 dd |,..L...k.D..6.9.| +000002d0 80 87 1c 9f 58 4b 4c b7 01 d2 5e a4 2e e6 1a 8d |....XKL...^.....| +000002e0 cc c4 28 4a ab 58 9d 4c c9 2e e2 8d 51 33 8a 8e |..(J.X.L....Q3..| +000002f0 05 a6 0d 5e 38 2f ee 09 7a 61 6d 62 59 6b a6 a5 |...^8/..zambYk..| +00000300 72 b7 05 75 b1 ea 41 20 29 c0 3d 1c 6c f7 f6 8a |r..u..A ).=.l...| +00000310 4e a0 38 27 4e 47 62 49 1b 6c 07 f6 05 19 12 0c |N.8'NGbI.l......| +00000320 ce 9d 0e 64 5c 7f ba 4b 7d 04 a1 f9 2a cc 05 e8 |...d\..K}...*...| +00000330 a2 48 cb 81 bd 6e 66 33 5b c4 4c f5 f8 43 69 92 |.H...nf3[.L..Ci.| +00000340 c9 72 aa 3f 4b 14 03 03 00 11 0d fb bf 04 5f 55 |.r.?K........._U| +00000350 f6 4b 93 37 f4 af 12 48 2c 0e 0f 16 03 03 00 20 |.K.7...H,...... | +00000360 97 e4 98 bc 5b 19 cb 72 a7 7e 0a fb 52 4d c2 67 |....[..r.~..RM.g| +00000370 d4 b7 7e 66 ed 8b 78 72 98 7b f6 69 e5 57 83 1d |..~f..xr.{.i.W..| >>> Flow 10 (server to client) -00000000 14 03 03 00 11 bb a9 73 b5 07 d3 da 0a 69 d1 77 |.......s.....i.w| -00000010 5c 69 49 5f 76 ff 16 03 03 00 20 76 c0 84 78 ad |\iI_v..... v..x.| -00000020 9e 64 25 14 e0 7e ad 6c 26 88 6a ae c6 44 a2 a8 |.d%..~.l&.j..D..| -00000030 44 42 d3 35 28 96 a2 94 fa 3a 95 17 03 03 00 19 |DB.5(....:......| -00000040 13 4f c8 0a 3b e1 04 c4 60 74 14 fa 25 f7 19 8a |.O..;...`t..%...| -00000050 f6 99 df 68 0d c3 f5 da 55 16 03 03 00 14 ec 43 |...h....U......C| -00000060 19 4a 28 d9 a4 65 24 51 d8 53 99 44 6c 0d d7 75 |.J(..e$Q.S.Dl..u| -00000070 9c 80 |..| +00000000 14 03 03 00 11 74 5e 9a 15 15 ea 29 5b 3b 65 10 |.....t^....)[;e.| +00000010 dc 55 35 e6 06 2b 16 03 03 00 20 31 f8 fb ed 18 |.U5..+.... 1....| +00000020 33 8d 04 13 0d f1 32 28 37 07 b7 7f 5c 7a 72 8e |3.....2(7...\zr.| +00000030 89 b1 30 31 1e e9 b7 da a3 52 cf 17 03 03 00 19 |..01.....R......| +00000040 de ee 68 e9 bf a7 44 16 2f b1 63 86 d8 5a ac 9c |..h...D./.c..Z..| +00000050 12 11 19 d0 0b 42 5b 65 7f 16 03 03 00 14 41 fd |.....B[e......A.| +00000060 7f 3c 9a 8e 58 4a 43 2f 36 ff 2a 16 4f 5c 3f eb |.<..XJC/6.*.O\?.| +00000070 b0 9d |..| >>> Flow 11 (client to server) -00000000 15 03 03 00 12 d1 32 db 69 4e 16 37 7d 15 f2 c0 |......2.iN.7}...| -00000010 3c 63 3c a0 fb 75 1a 15 03 03 00 12 6f 93 08 62 |>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 24 5b 1c ac d1 |....Y...U..$[...| -00000010 28 10 d9 9e 83 d6 d8 61 a2 9e 85 2b 87 0f 28 70 |(......a...+..(p| -00000020 c6 a3 72 f6 62 a9 a7 e9 25 a4 a9 20 94 66 28 3e |..r.b...%.. .f(>| -00000030 02 a6 71 a0 b4 d5 8c 73 21 ef a0 22 ff 98 bd 36 |..q....s!.."...6| -00000040 36 fa e0 1d 5f f9 a9 a7 78 29 5c e4 cc a8 00 00 |6..._...x)\.....| +00000000 16 03 03 00 59 02 00 00 55 03 03 32 cc a3 4f 3a |....Y...U..2..O:| +00000010 60 77 69 7f 97 c4 08 f6 72 3c fc ba 66 db cd 17 |`wi.....r<..f...| +00000020 24 cd 25 84 4e 47 d9 7b 09 d6 22 20 40 23 b7 d8 |$.%.NG.{.." @#..| +00000030 de 66 07 be c2 15 b1 59 6c e8 bf 91 4a 00 4d ed |.f.....Yl...J.M.| +00000040 8b c2 0f 50 42 01 3f 15 f6 d3 21 ff cc a8 00 00 |...PB.?...!.....| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -61,36 +61,36 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 d3 ce f2 00 ba e1 68 |........ ......h| -000002d0 1e 78 b2 84 93 bf 8a a1 53 0b 4e 71 0c 44 a4 24 |.x......S.Nq.D.$| -000002e0 93 0e 7c 14 fb 3b 76 47 4f 08 04 00 80 0e e6 0c |..|..;vGO.......| -000002f0 66 b0 31 af ee 2a 02 62 d8 85 25 b4 cc 94 ff 11 |f.1..*.b..%.....| -00000300 fd 48 b7 4b e6 0c 71 56 75 3b 6f be bf 55 35 52 |.H.K..qVu;o..U5R| -00000310 ff 3a e2 84 01 7a 5e 05 50 90 fb 23 26 76 c1 b0 |.:...z^.P..#&v..| -00000320 7d 96 0a 50 e7 b0 2c 13 6b 7f b6 f4 83 e3 66 4b |}..P..,.k.....fK| -00000330 09 07 43 8f f3 a1 a7 f4 f9 91 7a 0b 2c 32 54 45 |..C.......z.,2TE| -00000340 25 48 be 94 74 c4 61 10 22 29 81 26 cf 67 e4 34 |%H..t.a.").&.g.4| -00000350 98 4d 33 4e 7e ad 5b 84 0a fe 62 dd 84 63 5d 22 |.M3N~.[...b..c]"| -00000360 03 d6 4b 5f 75 1a 58 11 f6 45 36 24 97 16 03 03 |..K_u.X..E6$....| +000002c0 ac 0c 00 00 a8 03 00 1d 20 fb 37 61 9a dd a9 99 |........ .7a....| +000002d0 4f a5 2d 4d e5 93 70 91 be 11 3d cc 66 d1 f6 4d |O.-M..p...=.f..M| +000002e0 f7 45 75 c9 27 fe 13 1c 04 08 04 00 80 58 c3 2c |.Eu.'........X.,| +000002f0 73 09 15 3c 4f 44 07 d9 7c 11 20 2f 0b e5 77 02 |s..=..*D| +00000350 91 6e 83 13 94 75 55 73 c2 fc ae dd 3b 44 01 93 |.n...uUs....;D..| +00000360 c3 d3 21 36 7e ee 2d 3c 75 e5 8c e6 13 16 03 03 |..!6~.->> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 d9 21 c7 b7 b3 db 5c 50 58 75 5c |.... .!....\PXu\| -00000040 b3 22 11 c2 b7 39 c3 65 18 51 07 15 1c 00 66 97 |."...9.e.Q....f.| -00000050 3b 24 6b fa bf |;$k..| +00000030 16 03 03 00 20 e7 43 cd 94 5d 17 64 66 97 4f 60 |.... .C..].df.O`| +00000040 a0 1f 5a 4f f5 75 8f 93 8e 7a 44 2e d6 03 80 d6 |..ZO.u...zD.....| +00000050 25 06 52 69 25 |%.Ri%| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 b8 76 78 41 8e |.......... .vxA.| -00000010 44 3c 47 e1 cd c7 51 19 ee 33 24 f1 5f 78 0f cf |D>> Flow 5 (client to server) -00000000 17 03 03 00 16 39 af 11 be 9c e5 35 64 03 b3 2b |.....9.....5d..+| -00000010 ca ce 43 dc 3a 0b 97 ae 73 b9 93 |..C.:...s..| +00000000 17 03 03 00 16 7c 2e b4 a0 ee 6e 1b cb 99 3c de |.....|....n...<.| +00000010 17 b9 23 ce a8 45 8b 55 74 bc dc |..#..E.Ut..| >>> Flow 6 (server to client) -00000000 16 03 03 00 14 af 66 f1 53 c5 5b e0 db 7c 15 d6 |......f.S.[..|..| -00000010 53 35 b0 cd 61 1d 9b 8a 31 |S5..a...1| +00000000 16 03 03 00 14 5b 11 6b 18 97 aa 21 56 09 20 1f |.....[.k...!V. .| +00000010 71 f6 7d e3 7f 85 8c 53 7e |q.}....S~| >>> Flow 7 (client to server) -00000000 15 03 03 00 12 12 fd 02 6c 35 78 bb 98 1d 27 fc |........l5x...'.| -00000010 27 9f 11 b6 62 ef 67 15 03 03 00 12 01 12 1a a7 |'...b.g.........| -00000020 a6 b4 e7 b3 c6 49 94 74 73 9b dd 9c 7e a9 |.....I.ts...~.| +00000000 15 03 03 00 12 ce c0 d2 da 23 4b 12 c2 f5 a9 df |.........#K.....| +00000010 03 05 fb 9b e8 17 29 15 03 03 00 12 34 45 6a ac |......).....4Ej.| +00000020 af 6a b9 e6 d2 9d 5e 11 eb 93 0e 0e 1e 47 |.j....^......G| diff --git a/src/crypto/tls/testdata/Client-TLSv12-SCT b/src/crypto/tls/testdata/Client-TLSv12-SCT index 688281da9e0..988a2e2a1c4 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-SCT +++ b/src/crypto/tls/testdata/Client-TLSv12-SCT @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,21 +7,21 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 01 c6 02 00 01 c2 03 03 a8 cd f3 5f 92 |.............._.| -00000010 88 fb 30 da 64 6b e6 5c b6 c1 6f f6 8a 6c 10 80 |..0.dk.\..o..l..| -00000020 d4 09 4c c6 13 f3 3a bf 95 f6 6e 20 ed e7 97 87 |..L...:...n ....| -00000030 69 9d fd 42 e8 8b be 4d 2b 0f 09 0a d3 c9 83 49 |i..B...M+......I| -00000040 18 2a 9c 59 59 37 49 15 dd d1 d7 51 cc a8 00 01 |.*.YY7I....Q....| +00000000 16 03 03 01 c6 02 00 01 c2 03 03 7a e6 8c be 07 |...........z....| +00000010 fd 4d 8a 55 3e d9 00 d0 88 22 b2 bc 76 37 8a 8b |.M.U>...."..v7..| +00000020 16 6b 3d 79 12 08 7f 8d c0 e8 83 20 f8 e3 cf 6f |.k=y....... ...o| +00000030 04 0a 05 23 4f 03 08 aa 00 f2 6b 9b 3c 36 77 26 |...#O.....k.<6w&| +00000040 89 bb e1 1d 81 14 18 54 b8 47 7a 13 cc a8 00 01 |.......T.Gz.....| 00000050 7a 00 12 01 69 01 67 00 75 00 a4 b9 09 90 b4 18 |z...i.g.u.......| 00000060 58 14 87 bb 13 a2 cc 67 70 0a 3c 35 98 04 f9 1b |X......gp.<5....| 00000070 df b8 e3 77 cd 0e c8 0d dc 10 00 00 01 47 97 99 |...w.........G..| @@ -84,31 +84,31 @@ 00000400 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d ae db 46 |.....@.a.Lr+...F| 00000410 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db fe 3d 13 |..M...>...B...=.| 00000420 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 ac 0c 00 |`.\!.;..........| -00000430 00 a8 03 00 1d 20 2c 61 73 b4 4c c2 43 fd 1b a9 |..... ,as.L.C...| -00000440 fa ff e0 66 c0 fa 6c 5f 14 63 83 00 66 79 6b 9c |...f..l_.c..fyk.| -00000450 e7 68 2b 91 95 27 08 04 00 80 d3 97 5f 27 ec f6 |.h+..'......_'..| -00000460 12 e3 4a 56 dd 6b 84 ce 66 7c ce 62 84 0f 48 9c |..JV.k..f|.b..H.| -00000470 c2 da cd 46 e0 08 fd b4 c2 16 c1 bd 8f 7b 22 a5 |...F.........{".| -00000480 9b d6 de 38 a6 df 5a 17 2a 70 bb 84 3a 5b 61 a9 |...8..Z.*p..:[a.| -00000490 5e a8 f9 f0 7f e7 21 dc 4d d7 76 66 f9 04 a1 ba |^.....!.M.vf....| -000004a0 a8 d7 9d a6 bf c0 43 52 18 2c 82 e3 a2 54 d7 eb |......CR.,...T..| -000004b0 23 ca b8 6a 99 9a 9f eb 5f 4b 2b 01 e1 7a 59 5f |#..j...._K+..zY_| -000004c0 b1 d5 f1 b1 51 f8 3e c5 73 53 95 df aa 05 b4 75 |....Q.>.sS.....u| -000004d0 c1 4c 45 6f 81 c2 a1 e2 64 3f 16 03 03 00 04 0e |.LEo....d?......| +00000430 00 a8 03 00 1d 20 17 43 54 89 3e b8 74 5b 66 cd |..... .CT.>.t[f.| +00000440 5f 28 dd 1e e5 8f 2e f2 e2 2f 8a 0a ca ea 3e 8f |_(......./....>.| +00000450 8a af 2e 6d ab 3d 08 04 00 80 3c b2 0e bb 41 5a |...m.=....<...AZ| +00000460 65 1d e4 7e e6 0c e5 f4 28 7b fc a5 42 83 84 5d |e..~....({..B..]| +00000470 73 f7 57 ce 01 f1 af 82 69 a1 95 37 97 f6 1f d5 |s.W.....i..7....| +00000480 2a c6 a3 83 d7 66 c4 e8 57 3a 7f 60 87 cd a8 cf |*....f..W:.`....| +00000490 ff 9c bf ea cb 45 bf 64 70 cb 30 a2 97 b5 06 26 |.....E.dp.0....&| +000004a0 dc 71 ca d1 24 18 bd a5 0d 57 b8 ee 75 ea 1d 60 |.q..$....W..u..`| +000004b0 16 60 d0 9f 4d 9d 73 3d bf fc 67 5d d0 9c fe 72 |.`..M.s=..g]...r| +000004c0 32 fb 49 b4 42 4c ae a8 ed 05 7e 07 0d 1c 7e 54 |2.I.BL....~...~T| +000004d0 22 7a 27 a1 f1 48 c0 d8 5b cc 16 03 03 00 04 0e |"z'..H..[.......| 000004e0 00 00 00 |...| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 20 b7 96 ee ac 2d 73 17 74 c5 5a cc |.... ....-s.t.Z.| -00000040 53 6f 0e 40 40 91 76 2a 9b a4 d9 6b 58 e8 f2 a6 |So.@@.v*...kX...| -00000050 10 e4 bf f9 d3 |.....| +00000030 16 03 03 00 20 93 03 45 0c 20 62 73 32 0a 3c 46 |.... ..E. bs2.>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 20 7d d0 c7 ff 0d |.......... }....| -00000010 08 e8 05 fa 72 1b 7d 26 2d 92 48 e4 f6 8e 2b 67 |....r.}&-.H...+g| -00000020 8e bc da b9 80 fd 86 2a bb 77 93 |.......*.w.| +00000000 14 03 03 00 01 01 16 03 03 00 20 30 5f d8 71 86 |.......... 0_.q.| +00000010 79 ec 3e a0 fc 4a 52 08 1f 9b c5 5c 57 74 f2 1f |y.>..JR....\Wt..| +00000020 c1 f7 97 60 0a 60 39 f6 42 ae f4 |...`.`9.B..| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 4a ae b2 40 90 b8 15 8c 3a 77 90 |.....J..@....:w.| -00000010 90 c6 ff 73 46 aa 3b 96 66 e2 4f 15 03 03 00 12 |...sF.;.f.O.....| -00000020 29 52 92 de 13 14 04 53 7b 90 79 9b 7c 3d ad 83 |)R.....S{.y.|=..| -00000030 5b f9 |[.| +00000000 17 03 03 00 16 72 fa 8d 52 6c 26 f6 ae dd a6 90 |.....r..Rl&.....| +00000010 11 87 da 7b f4 71 ad b7 c6 84 cd 15 03 03 00 12 |...{.q..........| +00000020 b7 fa 56 d2 a4 84 fb 33 64 f5 18 8e 67 ea 0b d2 |..V....3d...g...| +00000030 d4 c5 |..| diff --git a/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE b/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE index 5084bbe6ca6..8aa322d52d8 100644 --- a/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv12-X25519-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f8 01 00 00 f4 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,20 +7,20 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 79 00 05 00 05 01 00 00 00 00 00 0a 00 |...y............| -00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1e 00 |................| -000000a0 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff 01 00 |..........a.b...| -000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| -000000d0 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d |....3.&.$... /.}| -000000e0 a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 |.G.bC.(.._.).0..| -000000f0 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |........_X.;t| +00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 20 00 |.............. .| +000000a0 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 ff |..........a.b...| +000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| +000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| +000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| +000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 59 02 00 00 55 03 03 eb ea 5b a3 24 |....Y...U....[.$| -00000010 47 5b 19 4a 46 f4 a1 c4 19 fb f6 ae e1 a1 74 c3 |G[.JF.........t.| -00000020 14 fc 35 1a 22 a4 22 9e 05 46 e6 20 0e 14 cb ed |..5."."..F. ....| -00000030 f8 70 a3 b4 77 48 4b 7f a7 40 63 31 2e 26 39 b5 |.p..wHK..@c1.&9.| -00000040 99 6e 08 4b eb 18 a7 72 ec c7 95 21 c0 2f 00 00 |.n.K...r...!./..| +00000000 16 03 03 00 59 02 00 00 55 03 03 7c 84 a2 1f f5 |....Y...U..|....| +00000010 ed 1d 8a b0 31 68 01 25 d1 29 73 83 65 e7 ae ad |....1h.%.)s.e...| +00000020 3a 2e 62 26 c7 36 84 9e 41 78 8c 20 8d d6 1a cf |:.b&.6..Ax. ....| +00000030 20 65 4d 3c 7c 45 ea a2 0b d3 ce e1 8c 24 02 ac | eM<|E.......$..| +00000040 01 ef 7e 52 d5 07 8b 06 c2 24 bc 3c c0 2f 00 00 |..~R.....$.<./..| 00000050 0d ff 01 00 01 00 00 0b 00 04 03 00 01 02 16 03 |................| 00000060 03 02 59 0b 00 02 55 00 02 52 00 02 4f 30 82 02 |..Y...U..R..O0..| 00000070 4b 30 82 01 b4 a0 03 02 01 02 02 09 00 e8 f0 9d |K0..............| @@ -60,33 +60,33 @@ 00000290 77 8d 0c 1c f1 0f a1 d8 40 83 61 c9 4c 72 2b 9d |w.......@.a.Lr+.| 000002a0 ae db 46 06 06 4d f4 c1 b3 3e c0 d1 bd 42 d4 db |..F..M...>...B..| 000002b0 fe 3d 13 60 84 5c 21 d3 3b e9 fa e7 16 03 03 00 |.=.`.\!.;.......| -000002c0 ac 0c 00 00 a8 03 00 1d 20 d4 ff e3 74 d0 5a ca |........ ...t.Z.| -000002d0 8e e1 46 8f e9 b3 89 0f 9f 84 25 92 bf 0d 6a 4f |..F.......%...jO| -000002e0 ff 3e 9a a7 0d ba 55 0b 27 08 04 00 80 7c b3 f8 |.>....U.'....|..| -000002f0 ce 05 50 32 50 8f a8 f1 43 ae 3a 06 0a 31 22 b8 |..P2P...C.:..1".| -00000300 58 38 16 26 3c b2 88 90 ec d9 5c 65 fe 71 8c 7c |X8.&<.....\e.q.|| -00000310 e1 02 e3 27 a9 52 76 45 fa 0d ac 33 a5 89 53 8c |...'.RvE...3..S.| -00000320 71 50 cf a4 78 7c 92 81 b2 5b 4d 38 3c 4a 19 aa |qP..x|...[M8/.......| +000002f0 98 25 f1 eb a2 e3 dc cd 44 3e 24 bf 9d 95 a3 6c |.%......D>$....l| +00000300 d2 ea bf 47 7c fa 90 de 5a ea 8c f6 83 4b c3 92 |...G|...Z....K..| +00000310 6a d5 ce 27 8d 84 b7 6e 3c bf 3f a5 97 ad 61 ef |j..'...n<.?...a.| +00000320 3a 92 db 70 7b 3d f0 af e5 28 c8 96 98 b4 bd ed |:..p{=...(......| +00000330 55 ed fe c4 c9 38 65 a2 67 d7 43 a4 01 52 00 18 |U....8e.g.C..R..| +00000340 2c 0c a6 37 fb 36 34 f6 9c b8 11 e9 fa a6 e5 d5 |,..7.64.........| +00000350 e0 22 7b 1e 15 e0 33 97 ab 60 f5 15 8b 7c 25 06 |."{...3..`...|%.| +00000360 f8 fe 63 64 16 d0 e5 0f 40 94 b0 0d df 16 03 03 |..cd....@.......| 00000370 00 04 0e 00 00 00 |......| >>> Flow 3 (client to server) 00000000 16 03 03 00 25 10 00 00 21 20 2f e5 7d a3 47 cd |....%...! /.}.G.| 00000010 62 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 |bC.(.._.).0.....| 00000020 cf c2 ed 90 99 5f 58 cb 3b 74 14 03 03 00 01 01 |....._X.;t......| -00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 5f 61 87 |....(........_a.| -00000040 c8 07 ba 8b 35 69 94 e0 c8 3e 51 e9 03 ab 2e c2 |....5i...>Q.....| -00000050 cd 1e 7b cb 19 47 20 eb a3 10 7a fd 5c |..{..G ...z.\| +00000030 16 03 03 00 28 00 00 00 00 00 00 00 00 ce 1a b6 |....(...........| +00000040 76 9d b0 34 f2 7e d8 48 34 81 f3 31 32 0a b1 b4 |v..4.~.H4..12...| +00000050 fe ee 4a 24 98 16 cd 64 c5 67 47 e1 41 |..J$...d.gG.A| >>> Flow 4 (server to client) -00000000 14 03 03 00 01 01 16 03 03 00 28 40 15 69 b9 41 |..........(@.i.A| -00000010 6d 91 8a 32 f0 e3 74 79 02 b5 cb 92 fa 93 23 7d |m..2..ty......#}| -00000020 c9 28 3a 33 66 b7 90 1e 6d dc 82 bf 53 8e 52 c4 |.(:3f...m...S.R.| -00000030 10 b1 5d |..]| +00000000 14 03 03 00 01 01 16 03 03 00 28 f1 8f b9 88 82 |..........(.....| +00000010 76 41 a4 76 ba 3b 28 19 68 61 9e 5e a6 ac 1f 16 |vA.v.;(.ha.^....| +00000020 f5 14 01 8e 6a 39 d7 67 d1 2a 12 b4 5c da 65 27 |....j9.g.*..\.e'| +00000030 bb 30 88 |.0.| >>> Flow 5 (client to server) -00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 fa 39 43 |..............9C| -00000010 1e ec ca f3 11 02 ea 48 bb df 7d c5 30 b4 3b 77 |.......H..}.0.;w| -00000020 7e 3c 3d 15 03 03 00 1a 00 00 00 00 00 00 00 02 |~<=.............| -00000030 ac c0 8b 3d 3d 64 a9 4c 56 42 e5 c1 0d 2c 49 e4 |...==d.LVB...,I.| -00000040 c5 06 |..| +00000000 17 03 03 00 1e 00 00 00 00 00 00 00 01 83 d1 38 |...............8| +00000010 d1 f5 2a 47 e4 46 20 1f 14 61 10 5d 4d 60 e5 d8 |..*G.F ..a.]M`..| +00000020 ae 26 59 15 03 03 00 1a 00 00 00 00 00 00 00 02 |.&Y.............| +00000030 22 fb e1 53 ef c4 fb f5 9a 81 69 35 33 14 46 ac |"..S......i53.F.| +00000040 5c 8e |\.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 index 27376c6b21c..8158e3692d9 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-AES128-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,85 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 56 66 98 49 01 |....z...v..Vf.I.| -00000010 4b 0f 8c 15 63 59 e3 51 1b ed 6d 49 83 fa f1 1a |K...cY.Q..mI....| -00000020 ca fb a6 42 dc 2a ca 51 8e 45 4d 20 00 00 00 00 |...B.*.Q.EM ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 32 21 56 66 57 |....z...v..2!VfW| +00000010 d3 ab f7 5f 92 a3 cf fb 0f 37 45 d3 d6 6c 70 a0 |..._.....7E..lp.| +00000020 ab 32 42 7b d7 d1 d1 6f 25 67 c1 20 00 00 00 00 |.2B{...o%g. ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 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03 03 00 17 46 6b 07 52 b8 8e 37 d3 cc c5 34 |.....Fk.R..7...4| +00000050 69 c7 6e a8 ad 0f 44 d8 e4 ce 7d 8d 17 03 03 00 |i.n...D...}.....| +00000060 13 70 b3 6c d7 c5 91 6d d7 87 e3 78 86 b6 bc 81 |.p.l...m...x....| +00000070 82 ca 89 f0 |....| diff --git a/src/crypto/tls/testdata/Client-TLSv13-AES256-SHA384 b/src/crypto/tls/testdata/Client-TLSv13-AES256-SHA384 index d03948078b4..0e53c916c0d 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-AES256-SHA384 +++ b/src/crypto/tls/testdata/Client-TLSv13-AES256-SHA384 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,87 +7,87 @@ 00000050 cc a9 c0 2f c0 2b c0 30 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b0 ba e2 39 53 e8 29 c4 c6 f6 |xV..d....9S.)...| -000002d0 f3 68 e1 48 00 8f 8c 33 2c 3f f6 ff ee a9 3a e1 |.h.H...3,?....:.| -000002e0 ee 1f 4c 22 7c 6f ab 75 12 35 d5 5b 2d d5 6e 4b |..L"|o.u.5.[-.nK| -000002f0 78 f5 db 0d df 48 b5 3f 22 b1 1e 7c eb 1b c0 01 |x....H.?"..|....| -00000300 83 a1 6b e3 07 e2 db 29 35 6f 5a 31 21 cc d4 87 |..k....)5oZ1!...| -00000310 30 08 f0 17 03 03 00 99 0e 62 ac 50 4f 07 d6 39 |0........b.PO..9| -00000320 bc 04 b8 a6 f8 bf ca 69 fa 1c 37 f2 19 dc 99 c9 |.......i..7.....| -00000330 6d 45 29 10 8a fd 75 4b 47 b8 a2 cd 66 65 92 91 |mE)...uKG...fe..| -00000340 e6 37 98 ec 00 41 e4 b7 db b7 2a 68 47 08 10 75 |.7...A....*hG..u| -00000350 a9 db 83 b8 9d d1 b1 2a 7e e7 79 46 a1 a9 d4 9d |.......*~.yF....| -00000360 bb c3 15 d4 74 56 d8 53 9c 78 48 23 93 e1 d5 41 |....tV.S.xH#...A| -00000370 73 93 e7 d5 0f 9d 13 b1 ef fc 96 64 5c 5b fe 99 |s..........d\[..| -00000380 72 31 d0 8f 81 73 ab e0 a5 41 6e c5 27 57 b8 5c |r1...s...An.'W.\| -00000390 1b 2f 8f 56 65 c5 2d 3f b3 51 71 b8 81 04 ec 44 |./.Ve.-?.Qq....D| -000003a0 31 a9 22 7d 57 ed a0 77 4f 44 2b 7e d0 e0 4f b0 |1."}W..wOD+~..O.| -000003b0 ab 17 03 03 00 45 e9 37 5d 5b ec 32 35 63 92 d7 |.....E.7][.25c..| -000003c0 4e ab 5c 7a 40 d8 a4 77 d4 a2 69 f5 f5 fb 54 9d |N.\z@..w..i...T.| -000003d0 e8 b9 47 7d 43 66 24 a5 41 ed d3 68 d5 fb e9 5b |..G}Cf$.A..h...[| -000003e0 c9 fb b0 6b 31 e6 85 75 65 28 ee e6 2f 92 d8 1a |...k1..ue(../...| -000003f0 b1 6b 96 27 28 e6 64 c1 bf 9f d9 |.k.'(.d....| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 dd |..+.....3.$... .| +00000060 7d 5d 73 30 62 54 5d 2b 8c da 7c 7e f5 4f 96 8c |}]s0bT]+..|~.O..| +00000070 3b f2 72 32 e0 b5 49 2a b3 db c5 b9 31 c8 51 14 |;.r2..I*....1.Q.| +00000080 03 03 00 01 01 17 03 03 00 17 0d 0f 90 b0 0a 6c |...............l| +00000090 4b d8 f4 9f e9 c4 63 bc 1f 44 ea 2d 11 a3 b5 d9 |K.....c..D.-....| +000000a0 99 17 03 03 02 6d bf c6 29 37 89 68 ca 67 82 ad |.....m..)7.h.g..| +000000b0 cd 4c 0e 58 20 c1 04 91 a7 e5 ba 37 e9 cf 89 99 |.L.X ......7....| +000000c0 16 82 16 9a ad 5f 57 8b 4c dc 9a 63 04 69 19 69 |....._W.L..c.i.i| +000000d0 f9 a7 bc 33 1a 41 37 90 18 de c5 42 a6 7b 9a b6 |...3.A7....B.{..| +000000e0 78 c0 81 b7 74 3e 11 7b 10 05 c2 19 30 4b 01 af |x...t>.{....0K..| +000000f0 d0 22 83 3e 5d 68 29 b0 50 86 7e 32 83 8b 7c e1 |.".>]h).P.~2..|.| +00000100 78 c3 69 d2 24 a9 4b 75 a5 c5 d1 d4 27 07 28 bf |x.i.$.Ku....'.(.| +00000110 81 20 60 ef 3e 87 2b 9b 5a 53 2a 5f 70 d6 6c 53 |. `.>.+.ZS*_p.lS| +00000120 f4 68 99 53 ec 97 93 57 51 2b db 3d 4a 9f e6 6a |.h.S...WQ+.=J..j| +00000130 50 e4 ed bb dd be 4e c1 23 c8 2a e3 01 0d 32 5f |P.....N.#.*...2_| +00000140 f1 ae b1 f5 75 c0 88 f4 86 80 b9 4b bd b3 4b 33 |....u......K..K3| +00000150 3d e2 b4 c2 e0 b5 2a d1 63 3b 67 2a 1c b5 c2 aa |=.....*.c;g*....| +00000160 80 71 7e 63 56 c1 c4 c7 88 33 4f 5b 49 96 98 6e |.q~cV....3O[I..n| +00000170 c4 1c bd 03 cb 43 b2 16 d2 ab 0c 39 fd 13 f8 c9 |.....C.....9....| +00000180 2d 92 47 20 8c 92 ad 8a 87 45 71 6c 49 29 06 d2 |-.G .....EqlI)..| +00000190 48 6e 44 e3 97 cf c0 51 38 51 f1 35 29 78 ca 45 |HnD....Q8Q.5)x.E| +000001a0 f8 cb 56 02 43 ef ca a9 08 7f a5 82 23 cc a9 00 |..V.C.......#...| +000001b0 3a 49 e1 98 45 f6 34 42 56 dd e9 ff 15 36 56 98 |:I..E.4BV....6V.| +000001c0 45 a0 1a 11 c9 eb 69 f8 9b 5e 8b bf 2d 8b be cd |E.....i..^..-...| +000001d0 50 0a 01 03 6e bb ea 64 a0 a1 5d 1f 61 3e d8 d6 |P...n..d..].a>..| +000001e0 1a 00 3c 65 64 df 1c 2f 01 2b 3b c4 36 85 98 6d |..>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 45 d8 b6 75 64 9b |..........E..ud.| -00000010 d5 e5 a8 c0 2c d7 70 13 5e b6 ae 05 6c 43 5d 76 |....,.p.^...lC]v| -00000020 3b 0c fd ed 8f 12 3c ab b1 f3 94 86 ed 16 6e 52 |;.....<.......nR| -00000030 72 f7 6b 85 0e 7f cd 13 be ad c9 fd f6 74 2f 12 |r.k..........t/.| -00000040 7e 22 53 12 cc 14 05 e2 1f aa 72 cf e5 0a 74 e0 |~"S.......r...t.| -00000050 17 03 03 00 17 ae bc 08 a7 5b 64 5c 1a 6d 9e b7 |.........[d\.m..| -00000060 03 b3 97 c7 f0 5b 28 97 0d 35 23 0e 17 03 03 00 |.....[(..5#.....| -00000070 13 e1 ba be 5b c4 4f bc b7 27 92 03 bf e1 20 27 |....[.O..'.... '| -00000080 4d 67 da bf |Mg..| +00000000 14 03 03 00 01 01 17 03 03 00 45 d6 41 e2 72 0c |..........E.A.r.| +00000010 14 a6 a4 71 c6 d2 47 d1 03 7e 04 e6 4d 69 8e d0 |...q..G..~..Mi..| +00000020 d6 f8 55 32 fe 54 f3 e5 be 22 af ae a2 b2 6c 58 |..U2.T..."....lX| +00000030 71 4a 73 85 5f 9f 09 69 7e 8c 75 61 86 0b 6c 6d |qJs._..i~.ua..lm| +00000040 b3 98 0d 97 7c 39 2e c7 81 f5 c7 4d 53 09 af aa |....|9.....MS...| +00000050 17 03 03 00 17 d6 39 0c 75 a1 fb 4c 88 99 d0 c0 |......9.u..L....| +00000060 d8 4d b1 31 16 9c 18 35 85 c3 ed 6f 17 03 03 00 |.M.1...5...o....| +00000070 13 5a f5 57 bf 1e f3 c5 b0 9b b7 4b 64 9c 38 90 |.Z.W.......Kd.8.| +00000080 c6 f2 7f 13 |....| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ALPN b/src/crypto/tls/testdata/Client-TLSv13-ALPN index 616ab4d46cc..427c6e55e56 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ALPN +++ b/src/crypto/tls/testdata/Client-TLSv13-ALPN @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 12 01 00 01 0e 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 14 01 00 01 10 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,87 +7,87 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 93 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 95 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 10 00 10 00 0e 06 70 |a.b............p| -000000d0 72 6f 74 6f 32 06 70 72 6f 74 6f 31 00 12 00 00 |roto2.proto1....| -000000e0 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 33 00 |.+............3.| -000000f0 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 |&.$... /.}.G.bC.| -00000100 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed |(.._.).0........| -00000110 90 99 5f 58 cb 3b 74 |.._X.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 10 00 10 00 0e |a.b.............| +000000d0 06 70 72 6f 74 6f 32 06 70 72 6f 74 6f 31 00 12 |.proto2.proto1..| +000000e0 00 00 00 2b 00 09 08 03 04 03 03 03 02 03 01 00 |...+............| +000000f0 33 00 26 00 24 00 1d 00 20 2f e5 7d a3 47 cd 62 |3.&.$... /.}.G.b| +00000100 43 15 28 da ac 5f bb 29 07 30 ff f6 84 af c4 cf |C.(.._.).0......| +00000110 c2 ed 90 99 5f 58 cb 3b 74 |...._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 8a a7 88 63 95 |....z...v.....c.| -00000010 1a 80 44 4e 28 89 0f fa 32 02 3b 95 b3 74 38 d4 |..DN(...2.;..t8.| -00000020 24 48 5d 27 d9 58 c5 5c 74 f2 14 20 00 00 00 00 |$H]'.X.\t.. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 60 c2 ba 68 ed |....z...v..`..h.| +00000010 91 b6 36 3d b1 e8 87 61 b1 e7 73 dc 72 ec cf ea |..6=...a..s.r...| +00000020 27 18 be b3 00 bb 05 cd d8 34 b5 20 00 00 00 00 |'........4. ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 55 |..+.....3.$... U| -00000060 34 ae 4a 4d 81 9f 2e 8f 28 09 bb bf 14 2f d2 d3 |4.JM....(..../..| -00000070 54 c8 2f 75 1f a2 d1 aa b3 0c 82 d1 2f 57 2b 14 |T./u......../W+.| -00000080 03 03 00 01 01 17 03 03 00 24 16 b3 de 46 14 59 |.........$...F.Y| -00000090 66 85 46 c9 3f 95 88 cf a8 49 ea fb 0a 6c 42 51 |f.F.?....I...lBQ| -000000a0 82 11 38 5e a0 98 1f 35 d5 d3 dc 68 4a ec 17 03 |..8^...5...hJ...| -000000b0 03 02 6d 07 5f 97 3d 66 fe 36 3f 70 78 e5 af 8c |..m._.=f.6?px...| -000000c0 96 4d 72 ce 33 3a e8 7a 3e 83 c9 0e e4 ea aa 02 |.Mr.3:.z>.......| -000000d0 42 b3 83 8a 22 ef f2 af dd ff e1 fa b2 7a bc d3 |B..."........z..| -000000e0 f2 4e 99 50 8a 14 eb bd 28 f3 56 92 79 91 00 8c |.N.P....(.V.y...| -000000f0 ae 32 09 d2 c1 ee 94 20 d5 8c 44 a2 ad 18 2b 54 |.2..... ..D...+T| -00000100 15 08 c6 f4 6f 0f 07 e9 93 f3 f4 6b 05 19 83 13 |....o......k....| -00000110 d3 dd b3 6e 0e e0 9f 13 03 6a 4e 14 d2 3e a1 5e |...n.....jN..>.^| -00000120 24 07 eb 53 ff 5d 06 54 99 f3 d9 32 e1 55 de c2 |$..S.].T...2.U..| -00000130 c9 b0 72 03 fa a9 30 ff d7 8b 4a 63 de c1 ee 16 |..r...0...Jc....| -00000140 79 3c b6 2d 9f 68 a1 1f 8e d6 3e 53 a8 90 4b 2b |y<.-.h....>S..K+| -00000150 62 6d de e8 b4 cf 70 7c 12 73 c3 4f 23 f8 79 2b |bm....p|.s.O#.y+| -00000160 69 c3 3e 8e f8 fa 0e f2 86 d1 6c 1a fe eb a3 ea |i.>.......l.....| -00000170 da 9c 47 c9 49 d3 8f d6 1e 9d 07 db 76 fd b2 54 |..G.I.......v..T| -00000180 e5 69 e7 05 31 0b ff 5e 4c cb 07 af 8b 54 2a 3e |.i..1..^L....T*>| -00000190 ab bd ff 92 c5 a0 7e 6a 10 dc 15 32 7f 52 6f cd |......~j...2.Ro.| -000001a0 96 83 58 61 e2 f0 76 02 c4 40 01 14 9e ca a6 f7 |..Xa..v..@......| -000001b0 9b dd 6d c2 a1 7c de f6 7c 69 37 4b d8 88 ae a6 |..m..|..|i7K....| -000001c0 7e 29 2b a3 6a ca 71 a6 92 d5 71 26 e5 eb 5d 8e |~)+.j.q...q&..].| -000001d0 8d f3 e5 3a d9 15 2e 16 b2 4c f9 71 fc bd f3 a2 |...:.....L.q....| -000001e0 9c b2 88 3e 7b 57 27 89 54 a5 cb ca 71 b3 b2 0e |...>{W'.T...q...| -000001f0 70 c7 78 af 52 2c a6 f5 e8 69 0e 2c ff 08 fe 50 |p.x.R,...i.,...P| -00000200 67 02 7a 43 7e 41 3b 07 f4 a3 09 ae 2b 84 39 50 |g.zC~A;.....+.9P| -00000210 d0 75 e8 a8 12 f9 d7 34 77 e1 3f dd bd e3 08 23 |.u.....4w.?....#| -00000220 2f a7 2e 27 c1 9c 88 64 94 53 24 14 59 5c 9b eb |/..'...d.S$.Y\..| -00000230 82 4f 07 23 e1 60 98 a6 f2 5d d1 ba ef 41 c4 65 |.O.#.`...]...A.e| -00000240 65 7c 54 36 a4 52 50 5f 5c ec 98 4f b1 82 d1 77 |e|T6.RP_\..O...w| -00000250 ea ee 71 ca 99 63 b0 09 90 88 11 23 62 8e 44 c8 |..q..c.....#b.D.| -00000260 2c d1 fe 6d f1 94 04 e1 74 af 73 db d6 3a 58 ed |,..m....t.s..:X.| -00000270 16 eb d4 e8 05 95 ac de e5 e1 77 24 37 29 5f ae |..........w$7)_.| -00000280 9f eb 6e c3 e8 2a 19 68 38 28 32 b4 aa 16 cc c5 |..n..*.h8(2.....| -00000290 1c dd 5c 0a 9b 3e 37 37 9b 76 7a ed 9c da 8e 29 |..\..>77.vz....)| -000002a0 f8 a7 86 ef 7a 5c 0c 0e e2 50 14 82 d7 31 2a 6a |....z\...P...1*j| -000002b0 f2 e6 ad 62 56 74 7f 1c 1b c0 c4 87 ee e6 5c d6 |...bVt........\.| -000002c0 6c 00 ae 94 41 13 12 c5 97 e5 ca ff aa e8 91 db |l...A...........| -000002d0 ad c5 2c 30 9e 1f 9c 18 ad 44 e3 5b 34 f0 5e 22 |..,0.....D.[4.^"| -000002e0 a9 a6 e2 03 5a b7 d9 8a 2a b5 c8 6e c3 12 75 b0 |....Z...*..n..u.| -000002f0 86 a4 9d 7a 85 3b 39 b7 ca f7 e2 97 d6 a0 79 76 |...z.;9.......yv| -00000300 92 ab 59 45 4c dd 24 d5 72 57 b9 c5 c8 80 2e bd |..YEL.$.rW......| -00000310 e4 9b b3 02 83 fd 45 e7 c9 32 b9 f0 22 43 a0 b1 |......E..2.."C..| -00000320 17 03 03 00 99 c1 5e b2 7a e8 da 61 81 94 a5 04 |......^.z..a....| -00000330 e9 dc 3f f4 b9 f7 21 20 4c 93 c3 ef b5 fe e1 76 |..?...! L......v| -00000340 3d fb f1 ac 3b 35 eb c7 02 f7 fb 84 b1 e9 83 ab |=...;5..........| -00000350 04 39 04 35 ac 4b e5 b5 bd ca 34 ba a2 80 6a 6b |.9.5.K....4...jk| -00000360 5e 0d e6 de 2f 76 fc 36 9e 80 4a 41 57 3c fc 31 |^.../v.6..JAW<.1| -00000370 65 a7 be ad ab 45 85 43 85 be e6 2a ee 8c 94 f5 |e....E.C...*....| -00000380 90 22 07 a2 4d 98 28 8b 43 de d6 72 4c 0d df dd |."..M.(.C..rL...| -00000390 b7 b9 e9 96 ec fc 81 06 34 dc ad 49 28 86 4f 82 |........4..I(.O.| -000003a0 60 d7 9d bc e2 19 9d 40 ce 5a 74 8b 2a 55 7c a6 |`......@.Zt.*U|.| -000003b0 19 0d 18 d6 88 39 ff 1a 8b 4c 78 89 45 3f 17 03 |.....9...Lx.E?..| -000003c0 03 00 35 cf 90 44 17 97 68 b6 5e ea a1 67 72 91 |..5..D..h.^..gr.| -000003d0 7b 3f 12 cb f8 57 6a ad e4 f7 af d9 ef c6 2f 04 |{?...Wj......./.| -000003e0 ff a9 55 29 ca 87 4a 8b 92 82 6c d0 33 b0 f9 55 |..U)..J...l.3..U| -000003f0 f5 7f 4e 2a e6 3e b6 ab |..N*.>..| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 e8 |..+.....3.$... .| +00000060 66 e7 b6 c0 4a 36 77 0f f5 b4 11 e5 3f 13 3a 90 |f...J6w.....?.:.| +00000070 38 3b 06 84 4a c5 9d 7b 94 58 ee d6 7e 1e 28 14 |8;..J..{.X..~.(.| +00000080 03 03 00 01 01 17 03 03 00 24 b8 22 86 a9 36 75 |.........$."..6u| +00000090 88 ee 41 d5 49 04 3b b7 ca cd e9 7c d8 2e bc 5e |..A.I.;....|...^| +000000a0 9d d1 ef b8 f3 71 3d e0 26 a4 fc a4 23 cd 17 03 |.....q=.&...#...| +000000b0 03 02 6d 3c 41 6a f7 1f 94 1a a2 1c 87 82 37 c9 |..m..| +00000350 26 af 9e 72 77 f8 84 7e f3 25 e8 04 4c 1e 26 f5 |&..rw..~.%..L.&.| +00000360 36 9b 39 01 35 03 1e 1f c7 d4 ca ae d8 9f 4f a7 |6.9.5.........O.| +00000370 16 c2 7c 18 04 20 7a 56 fb 06 7c b8 62 c8 cf 19 |..|.. zV..|.b...| +00000380 e1 f3 cd e2 30 29 5d 77 c0 2b 17 03 d2 49 94 31 |....0)]w.+...I.1| +00000390 95 81 6e 7d a4 49 c2 df 92 d5 32 f3 3a 2a db 35 |..n}.I....2.:*.5| +000003a0 19 b9 69 d8 c4 ef d0 f5 59 20 2d f8 69 e1 ba 02 |..i.....Y -.i...| +000003b0 78 b9 1f 4c 1a 79 61 23 03 de 32 b5 05 5c 17 03 |x..L.ya#..2..\..| +000003c0 03 00 35 92 fc a5 f8 83 64 2e fe 83 67 12 8a d9 |..5.....d...g...| +000003d0 46 30 8d aa 7c 20 be 13 f1 1d 80 57 04 29 61 39 |F0..| .....W.)a9| +000003e0 53 13 26 31 84 ab 6e dc d1 2d e9 51 41 51 50 e4 |S.&1..n..-.QAQP.| +000003f0 41 e7 f0 46 45 e0 dc 03 |A..FE...| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 18 9c 05 90 64 |..........5....d| -00000010 8e a7 6b 4f 67 81 fb 6d 70 1b 7d e3 28 b8 00 1c |..kOg..mp.}.(...| -00000020 96 53 c2 b2 64 d8 b2 9c cc be 35 89 c1 02 fc 1b |.S..d.....5.....| -00000030 c6 0a b6 84 ef a4 78 92 11 cb b8 73 38 0a a5 2c |......x....s8..,| -00000040 17 03 03 00 17 7a 02 dd 5a ec 02 64 56 42 7e 13 |.....z..Z..dVB~.| -00000050 25 92 12 21 55 51 bc 35 f3 07 60 0f 17 03 03 00 |%..!UQ.5..`.....| -00000060 13 51 55 8b 75 d5 d5 c7 0a be 4f 61 95 24 a2 07 |.QU.u.....Oa.$..| -00000070 7d e2 71 32 |}.q2| +00000000 14 03 03 00 01 01 17 03 03 00 35 6c 9a b7 a4 14 |..........5l....| +00000010 f0 ac 2e 6d 6e d5 67 da 48 bc 52 10 af 76 1a 74 |...mn.g.H.R..v.t| +00000020 41 b1 32 d0 ac de 61 73 20 40 c4 d6 2a 1f de 8c |A.2...as @..*...| +00000030 3b cf df ec 97 dc 1d 76 73 88 f8 46 a8 71 8b af |;......vs..F.q..| +00000040 17 03 03 00 17 12 a8 a4 f8 06 e5 19 2e 60 45 e6 |.............`E.| +00000050 79 29 b4 63 85 a0 f6 88 13 b4 3e 44 17 03 03 00 |y).c......>D....| +00000060 13 ed a2 8a 80 8c 7a da 83 3f 3e 51 a1 40 49 48 |......z..?>Q.@IH| +00000070 39 6b 30 64 |9k0d| diff --git a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 index 19ee9ea1de0..8360d25dbef 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 +++ b/src/crypto/tls/testdata/Client-TLSv13-CHACHA20-SHA256 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,85 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 63 d3 e3 f8 d6 |....z...v..c....| -00000010 66 9c 50 c2 1c b2 5a f6 c1 da 0b be 04 ae 5f ae |f.P...Z......._.| -00000020 8d 9c 90 b3 c1 68 9d 22 2f ec 02 20 00 00 00 00 |.....h."/.. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 4b a4 b4 05 a8 |....z...v..K....| +00000010 d4 42 51 8b 64 1a 48 82 a5 2e 57 3c ad c1 e0 6e |.BQ.d.H...W<...n| +00000020 f0 00 b1 c7 73 df ff a1 6a 3b b2 20 00 00 00 00 |....s...j;. ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 03 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 7a |..+.....3.$... z| -00000060 bb 5f 45 d5 af c9 42 26 78 ab 8e 55 a1 ac 4f 58 |._E...B&x..U..OX| -00000070 01 4a b4 bc df fa 16 c5 f4 9d e9 bf e0 f7 35 14 |.J............5.| -00000080 03 03 00 01 01 17 03 03 00 17 b9 ce 8a c9 3b 4a |..............;J| -00000090 fc 26 a5 96 03 63 d9 40 4c 44 1c ef 55 7b da bc |.&...c.@LD..U{..| -000000a0 17 17 03 03 02 6d 78 24 11 96 96 7e 2a 11 53 ea |.....mx$...~*.S.| -000000b0 8b b9 85 05 f5 3f 79 cc a1 0f 9b 2a 35 eb 01 1c |.....?y....*5...| -000000c0 c9 94 07 a9 54 c0 83 bb 83 1b 56 61 46 69 c6 1a |....T.....VaFi..| -000000d0 4e 39 d1 bd 6a 3c 66 1c e8 e5 39 5f 23 15 d0 48 |N9..j.| -000002c0 c2 bc 19 d6 32 3a d8 f1 8d 34 18 04 20 45 ff 48 |....2:...4.. E.H| -000002d0 68 4c 49 21 ed 07 18 ef f2 69 92 e4 c5 13 58 64 |hLI!.....i....Xd| -000002e0 65 c0 98 ef 6c fa 8e 19 e4 0a 6f a8 ca cc 89 c2 |e...l.....o.....| -000002f0 b8 3b 9b 01 e3 b5 b4 18 9a 0d 7e 50 57 82 dd 9f |.;........~PW...| -00000300 50 f9 57 2d 05 12 43 f1 54 0e bd 63 30 e6 58 ce |P.W-..C.T..c0.X.| -00000310 1f 4d f3 17 03 03 00 99 92 1b 73 6e df e8 d7 0d |.M........sn....| -00000320 e2 49 b7 3e 7a d2 3b 88 5a d8 ce fe 1d 0a 02 98 |.I.>z.;.Z.......| -00000330 a1 96 db bb 65 6f 0e 57 96 f6 f4 bb fb d1 7c ad |....eo.W......|.| -00000340 d3 77 11 91 90 4b c9 c7 08 4b 9f 07 d5 81 74 ce |.w...K...K....t.| -00000350 de 0e 7a 8a 92 a0 ee cc 17 cf 63 e6 9f 4c 09 50 |..z.......c..L.P| -00000360 cc 9c 8a 64 fa 57 0c 43 6a 41 21 25 c7 d2 d3 72 |...d.W.CjA!%...r| -00000370 40 af 86 c1 0e ca c2 23 ca 7c 67 02 5a 6d 80 4a |@......#.|g.Zm.J| -00000380 38 de ab 8c 46 b0 40 35 0a 58 e5 5c bc f0 3b 02 |8...F.@5.X.\..;.| -00000390 f3 b8 2c 49 80 03 f1 3f 13 6c d5 6c 31 b3 2a bb |..,I...?.l.l1.*.| -000003a0 c9 05 51 51 7b 80 78 a6 2f 63 f7 45 11 45 d2 60 |..QQ{.x./c.E.E.`| -000003b0 7e 17 03 03 00 35 26 73 0a 7f b8 e5 6b f6 1f 57 |~....5&s....k..W| -000003c0 15 f9 e9 c2 59 ab b0 6b 69 7c 2e 88 bb ef e1 07 |....Y..ki|......| -000003d0 42 b1 c2 1a 0d ec ea 97 fa 0e 9b 3e 4d 76 b0 34 |B..........>Mv.4| -000003e0 bf e7 1e a4 fc b0 53 08 93 9b c6 |......S....| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 f7 |..+.....3.$... .| +00000060 45 d6 7a 68 1e 61 87 01 8a 96 d1 a0 f5 5b 0d f4 |E.zh.a.......[..| +00000070 40 50 01 37 bd 58 6e de 6b 62 5b 2f 11 04 02 14 |@P.7.Xn.kb[/....| +00000080 03 03 00 01 01 17 03 03 00 17 32 25 54 07 78 34 |..........2%T.x4| +00000090 3e c4 39 5c 5c 1d 72 72 41 20 c7 ff fe 25 e9 37 |>.9\\.rrA ...%.7| +000000a0 32 17 03 03 02 6d 8e bf 7b ee 4a b5 07 e0 ca a8 |2....m..{.J.....| +000000b0 36 9f 35 a3 f3 51 db fb 87 a6 c7 59 07 16 fa f6 |6.5..Q.....Y....| +000000c0 21 20 66 6a 99 b9 2a 52 f2 24 73 cb 03 db 1f c4 |! fj..*R.$s.....| +000000d0 c3 b7 a7 b4 17 dc 11 43 f3 2a 5d af a8 5c d3 6a |.......C.*]..\.j| +000000e0 8e ad e8 38 88 4b 60 9c 76 e9 84 60 18 2a 5f d0 |...8.K`.v..`.*_.| +000000f0 01 5a 05 f9 78 0f 38 25 1f e9 71 35 3c 23 3c ba |.Z..x.8%..q5<#<.| +00000100 0a 28 3a da 85 b2 9c 9e f1 9e cf 9b 0d 63 85 04 |.(:..........c..| +00000110 d5 6b b4 3b a1 f8 1d 60 e0 d3 cd 38 cb 3f 27 00 |.k.;...`...8.?'.| +00000120 37 81 b2 0a 9c 6e 61 42 d1 1a a8 80 48 d2 96 46 |7....naB....H..F| +00000130 59 cf 5e 7e 46 c4 69 30 56 84 2c e9 18 4a 34 64 |Y.^~F.i0V.,..J4d| +00000140 ba 24 e5 ea 04 24 41 f1 cd 8b 8d 03 ac 78 9b 41 |.$...$A......x.A| +00000150 3f 09 c2 55 de b3 8d 84 6a 8d c8 14 ba de 07 06 |?..U....j.......| +00000160 25 81 15 d0 c5 a0 1c a4 15 ef c4 5e f7 e5 98 0a |%..........^....| +00000170 76 b1 bf 7a 0d cf 72 54 57 1f e5 c9 69 f9 18 b1 |v..z..rTW...i...| +00000180 f4 67 9f ac f4 54 dc 79 d2 6b f8 e3 c5 e1 81 72 |.g...T.y.k.....r| +00000190 8d a9 0c e2 92 2c 47 f6 f1 b0 d4 69 0e 23 a1 e2 |.....,G....i.#..| +000001a0 63 33 57 a6 d0 d5 b5 d3 31 f9 e6 ad d2 32 77 bb |c3W.....1....2w.| +000001b0 cd 31 d3 1b bf cc 16 e8 5e 49 e3 00 66 40 3a 3e |.1......^I..f@:>| +000001c0 67 9d b0 90 9d 6d 03 4a 08 fa e9 08 76 77 98 79 |g....m.J....vw.y| +000001d0 84 d1 b0 9b 4e 8c 66 25 4f 2a 38 bd 05 8d 07 d1 |....N.f%O*8.....| +000001e0 c6 e5 42 68 94 55 b0 c4 a4 82 fb 35 08 dd 8d da |..Bh.U.....5....| +000001f0 0c ab 1c e6 b7 7c 32 78 87 70 00 c3 be 88 f8 18 |.....|2x.p......| +00000200 66 1a d1 20 ea 5a 42 fb 84 d3 25 49 a9 ac 6f 47 |f.. .ZB...%I..oG| +00000210 71 e1 15 4d 05 15 64 8b 6b ca 6e c8 dc 82 52 eb |q..M..d.k.n...R.| +00000220 76 d2 71 f3 7f 1a 56 d5 2b ce 54 4b eb 8a cd 62 |v.q...V.+.TK...b| +00000230 25 17 95 2f 86 87 65 0d fc 6d dd 97 76 b4 7e 62 |%../..e..m..v.~b| +00000240 65 71 b7 b0 a2 bc d8 e5 6e 37 0e 83 a5 75 a9 98 |eq......n7...u..| +00000250 43 a3 7b 96 e8 c2 a1 0a 9c 2e 06 2a d3 32 45 03 |C.{........*.2E.| +00000260 1b 14 ac a8 ba 80 75 d0 22 1d 8f 8b 00 36 b3 80 |......u."....6..| +00000270 54 64 93 b4 ae 40 c1 93 ec 41 ba 88 e5 ff 74 24 |Td...@...A....t$| +00000280 88 d1 10 54 8b fd 31 38 74 a0 df a4 41 bb 87 44 |...T..18t...A..D| +00000290 4b f3 db 34 aa 79 3a 10 a4 2e 90 b0 a8 d0 93 96 |K..4.y:.........| +000002a0 6c b8 39 e3 90 df 59 74 d4 80 5c 0c 22 82 ca 71 |l.9...Yt..\."..q| +000002b0 05 ae e4 75 63 bb 23 11 6f 58 a0 77 9f 2b 6c d9 |...uc.#.oX.w.+l.| +000002c0 ec be eb da a4 c2 f4 b3 2c 0d 9b f8 b1 29 bf b5 |........,....)..| +000002d0 8c 22 d7 93 2e 85 7e b2 88 11 31 cd c6 5c dd b6 |."....~...1..\..| +000002e0 46 26 d8 d8 60 bc 56 77 ab d7 89 80 cd 0b 99 27 |F&..`.Vw.......'| +000002f0 a1 eb 45 df 30 e8 32 4f 67 ba 8c 85 24 ad 8d a4 |..E.0.2Og...$...| +00000300 18 f7 99 b8 41 77 c7 71 8f 50 db 85 e5 16 c3 40 |....Aw.q.P.....@| +00000310 de 86 3f 17 03 03 00 99 87 74 5e 08 46 86 36 82 |..?......t^.F.6.| +00000320 e3 23 76 c1 7d 55 45 f4 f5 fe 2c 04 e3 4a c1 3d |.#v.}UE...,..J.=| +00000330 20 d6 c5 1c d1 d1 a8 b5 44 76 3f e5 c3 22 9f bd | .......Dv?.."..| +00000340 1d a0 06 04 02 a4 6f 27 6a d6 48 4d 57 0e f2 51 |......o'j.HMW..Q| +00000350 79 5e a6 a5 08 71 8a 33 46 b4 2f 32 64 d2 7d ce |y^...q.3F./2d.}.| +00000360 86 9e 8d 3a bc e4 72 bc 09 94 0e 28 5d 53 d4 f7 |...:..r....(]S..| +00000370 7e 63 0d 66 e3 cb 27 92 8e af e4 0c 3e 1f 38 44 |~c.f..'.....>.8D| +00000380 b4 c9 cf aa 99 9b a8 7e 1b 9f 15 e9 ce ab ba 8b |.......~........| +00000390 40 ee b6 ef 9c 3f 8f a9 59 5a e4 68 5a fe ff dc |@....?..YZ.hZ...| +000003a0 b2 5c d7 52 df 93 4f 61 fc b5 fe 59 5a e6 39 23 |.\.R..Oa...YZ.9#| +000003b0 c6 17 03 03 00 35 c3 83 c8 d2 92 92 68 a1 4d 99 |.....5......h.M.| +000003c0 58 7f b8 56 d6 f5 56 ee 73 e5 9e 42 a4 b9 25 1c |X..V..V.s..B..%.| +000003d0 1c 68 14 0b 25 f5 f3 cd 5f 59 27 ac 53 b3 22 94 |.h..%..._Y'.S.".| +000003e0 3a b2 d6 2e 6e 58 9f f5 89 8a 24 |:...nX....$| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 d6 1a 22 64 56 |..........5.."dV| -00000010 24 d4 8a 0c 32 e7 26 4c f5 84 0d c4 76 b1 82 bd |$...2.&L....v...| -00000020 ab e4 8c 7a 0e 03 77 7f ea c0 46 dd 3f 3d 70 08 |...z..w...F.?=p.| -00000030 b8 78 e9 21 93 8a b3 71 d4 d2 1a 1b b6 70 8d bd |.x.!...q.....p..| -00000040 17 03 03 00 17 bf 29 76 1d fc cb 22 54 24 69 ca |......)v..."T$i.| -00000050 b6 87 11 85 2f df 96 d7 cb 42 ed 5a 17 03 03 00 |..../....B.Z....| -00000060 13 de ac db b4 a9 3a 2f f9 59 39 68 05 b7 f2 f7 |......:/.Y9h....| -00000070 7b 06 d3 a5 |{...| +00000000 14 03 03 00 01 01 17 03 03 00 35 4e 10 cd 88 f6 |..........5N....| +00000010 8a 03 95 91 70 75 bf 5b fd 62 58 b1 6d 64 d0 13 |....pu.[.bX.md..| +00000020 b3 49 68 89 1f 12 23 4b 1c 3c b5 2a 0b db 18 fc |.Ih...#K.<.*....| +00000030 d3 d8 73 f3 24 44 e2 d7 5c ed 36 f6 f0 19 c8 df |..s.$D..\.6.....| +00000040 17 03 03 00 17 15 49 3a 44 9c ef 1a 2f 0d 82 e5 |......I:D.../...| +00000050 40 5c 60 9c 94 9b 98 e7 d4 92 fa f5 17 03 03 00 |@\`.............| +00000060 13 bc df af 9f 03 d9 53 c7 90 c3 56 aa 62 7a 40 |.......S...V.bz@| +00000070 a7 2b 7f ed |.+..| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA index e93a34921d1..053b9696732 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-ECDSA-RSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,134 +7,134 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 20 26 0f 97 57 |....z...v.. &..W| -00000010 91 c2 77 98 7d 66 7d 5b 70 7b 4e 69 e2 bf 35 81 |..w.}f}[p{Ni..5.| -00000020 99 6a cc 09 00 96 44 2a 58 99 c3 20 00 00 00 00 |.j....D*X.. ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 57 6e 3b 6f 07 |....z...v..Wn;o.| +00000010 19 3d 4b 5c cb b3 ca 51 b6 74 04 5a af 78 c4 c0 |.=K\...Q.t.Z.x..| +00000020 ec 7b 2e 0a 28 74 7b 23 a4 e5 15 20 00 00 00 00 |.{..(t{#... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 b7 |..+.....3.$... .| -00000060 83 0f f9 c7 3c 19 ae a3 57 43 57 dc 16 f8 81 3e |....<...WCW....>| -00000070 51 d6 33 0d 83 8c 63 f2 44 ab 1f b4 4c 1e 3b 14 |Q.3...c.D...L.;.| -00000080 03 03 00 01 01 17 03 03 00 17 26 28 86 d7 b5 0f |..........&(....| -00000090 1e 27 27 00 f9 81 6d 96 87 3e 5b 28 ae 7c d4 68 |.''...m..>[(.|.h| -000000a0 9b 17 03 03 00 42 55 f1 fd a4 14 74 37 cf 3a ec |.....BU....t7.:.| -000000b0 7e 6d f1 30 3a 11 0f 64 b2 d7 53 9f ba 54 d9 fe |~m.0:..d..S..T..| -000000c0 e0 c7 9c 95 f3 d7 e5 ca e8 81 74 c7 0d ad c9 c1 |..........t.....| -000000d0 a4 18 a4 f5 d1 b3 74 29 65 41 fd 61 71 f8 db af |......t)eA.aq...| -000000e0 03 30 06 4b 01 19 b0 f9 17 03 03 02 6d 67 e8 4f |.0.K........mg.O| -000000f0 55 75 cb 25 f6 3b 4e b2 d5 48 d7 a8 1f 94 a2 dc |Uu.%.;N..H......| -00000100 28 18 8c 97 72 12 e6 b1 16 c1 e8 b2 9f 0b 2b 07 |(...r.........+.| -00000110 0e 7d f6 6c 61 c8 3e eb 25 65 3e 5a 45 1a 4c d5 |.}.la.>.%e>ZE.L.| -00000120 b6 a6 12 b6 f1 46 35 58 73 85 2c d3 c1 2c 05 dd |.....F5Xs.,..,..| -00000130 cb 3d d1 c0 73 44 49 09 cd 24 42 9d 52 64 12 bb |.=..sDI..$B.Rd..| -00000140 c7 08 38 55 55 68 eb 50 d1 f7 db 04 2b 5e cb b1 |..8UUh.P....+^..| 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|.1|...@v......@2| +00000220 2c f5 2b fa 72 6e 77 d6 9e 17 03 03 00 a4 e6 ad |,.+.rnw.........| +00000230 60 56 77 34 e5 d4 3f b7 18 34 f9 73 f9 1c 08 f8 |`Vw4..?..4.s....| +00000240 b2 d4 46 80 8b 38 a9 cb 1b c8 89 0e 62 7b c8 4a |..F..8......b{.J| +00000250 a0 a8 70 9f a2 d8 cc a2 12 73 c1 23 c6 93 1a f3 |..p......s.#....| +00000260 e1 63 ad 1b cf 44 f9 48 a9 75 97 dc cc f5 3a 96 |.c...D.H.u....:.| +00000270 93 48 40 38 6a 52 99 6e 4f ba c0 4f e5 ae f6 38 |.H@8jR.nO..O...8| +00000280 18 bd c2 97 f8 bc 8a 4e ac 2a dd 74 9a bd f1 dc |.......N.*.t....| +00000290 90 04 ed 13 b9 bb af ed b4 66 be 71 33 a4 84 6f |.........f.q3..o| +000002a0 e3 11 9e 3a af 31 82 12 9f fe 6b f7 2b df f2 02 |...:.1....k.+...| +000002b0 66 52 8a a6 71 51 39 fe 9a dc a9 c4 ab 77 7c 93 |fR..qQ9......w|.| +000002c0 70 1d 38 e4 36 3e d8 ad e1 88 70 94 6e 04 77 8d |p.8.6>....p.n.w.| +000002d0 82 a7 17 03 03 00 35 45 fd 3f 9e 17 05 da f0 aa |......5E.?......| +000002e0 2d 4d a2 35 5e c4 51 a9 bb 3c 36 46 2a fb 22 98 |-M.5^.Q..<6F*.".| +000002f0 02 1c ed cb a0 04 dd 01 a7 2d ea f9 42 4e ea c9 |.........-..BN..| +00000300 2e 23 ff 3f ea 82 88 9c 6c 0a cf 8e 17 03 03 00 |.#.?....l.......| +00000310 17 7c 54 f2 49 ab ad 87 23 6f 72 fa d5 29 41 22 |.|T.I...#or..)A"| +00000320 11 29 56 4b 36 99 14 e8 17 03 03 00 13 fc 80 4d |.)VK6..........M| +00000330 19 20 1d 69 a8 bf 6a 2a 43 e4 b1 2d f2 b6 ab 17 |. .i..j*C..-....| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 index 4464df142b7..cc1a6406e72 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,117 +7,117 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 df 2b 61 9e 90 |....z...v...+a..| -00000010 7f 04 01 51 25 8d e8 e8 81 b3 ce 49 bf 0b 54 d8 |...Q%......I..T.| -00000020 00 ee db 62 35 1c a0 02 18 52 50 20 00 00 00 00 |...b5....RP ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 39 ef 52 65 c8 |....z...v..9.Re.| +00000010 0b bd d6 c1 94 49 20 1f f2 d4 b5 af f4 1c f8 a6 |.....I .........| +00000020 7a 9d 50 ab 32 3a 15 52 b3 4c 45 20 00 00 00 00 |z.P.2:.R.LE ....| 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55 d2 02 96 6c d2 29 c3 17 03 03 00 99 c6 |..U...l.).......| -00000360 6f 6d 37 8c 25 44 94 eb 16 61 81 ad e5 9f 93 74 |om7.%D...a.....t| -00000370 9c 11 2e 9a 64 be 0f 6d 1f e8 55 66 89 53 93 36 |....d..m..Uf.S.6| -00000380 05 6b 00 dc 0f 96 8d d8 f4 0a c4 58 8e 00 6f 9b |.k.........X..o.| -00000390 0f b7 7a e2 f1 9e 13 a3 e4 46 35 8c 3e fd d0 e2 |..z......F5.>...| -000003a0 1e 6a 83 c5 56 67 af 59 25 55 83 48 d0 12 68 96 |.j..Vg.Y%U.H..h.| -000003b0 20 85 6a f6 0e 25 1c 64 d3 ba 15 d7 f7 07 0a 4a | .j..%.d.......J| -000003c0 09 23 4a 75 4f 4c 52 6a 59 4f 1c 63 3a b9 18 ca |.#JuOLRjYO.c:...| -000003d0 c9 60 17 de dd 56 48 46 04 d4 2e 8d d1 06 64 e7 |.`...VHF......d.| -000003e0 a0 43 23 22 7c 85 96 24 a6 a8 ff 36 2a 82 9f 7f |.C#"|..$...6*...| -000003f0 90 3f 2d 72 ba ac 68 56 17 03 03 00 35 7d fd 28 |.?-r..hV....5}.(| -00000400 46 0c 39 b2 ce 16 74 aa 13 aa b1 d2 83 4c 36 dd |F.9...t......L6.| -00000410 36 22 77 30 a9 0c ce 14 bb 06 03 ff 86 d8 7f 0e |6"w0............| -00000420 44 da 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|H...h.....(~a.3.| +000001e0 5d e8 ce 87 83 d8 20 25 b6 7c d3 52 04 ae c4 33 |]..... %.|.R...3| +000001f0 ec 8e f8 f0 89 71 2a 57 29 bf 77 b7 ab fa 1f 58 |.....q*W).w....X| +00000200 4e c5 e3 b7 3a d9 20 eb 9c e6 fe cd 55 00 42 1f |N...:. .....U.B.| +00000210 03 8a c4 5f f1 50 f8 14 67 1c 58 cc cb 46 4f 81 |..._.P..g.X..FO.| +00000220 03 d8 5e 11 71 c2 86 83 0e 97 d1 e5 2c b7 d9 5a |..^.q.......,..Z| +00000230 08 f7 ae c5 75 49 29 19 27 00 a3 54 12 7a d6 2a |....uI).'..T.z.*| +00000240 94 f1 64 cd f1 01 fa a7 32 2e fa 9d d4 e8 e5 1c |..d.....2.......| +00000250 f9 93 96 0d 8f c1 2e 7f a8 9b 9c 55 cd 15 c4 c9 |...........U....| +00000260 81 f1 fe e8 af 8d c8 5f 59 d2 f6 78 ab 44 18 1b |......._Y..x.D..| +00000270 e6 cf 7f 96 c1 5a 49 4d 74 37 69 20 d9 6b 80 c3 |.....ZIMt7i .k..| +00000280 df ec 59 b2 0b 50 ac cb 61 d9 d9 bb 22 a7 5e 9c |..Y..P..a...".^.| +00000290 a2 f8 c8 fe 7a b4 dc d9 da 51 13 f2 47 54 01 55 |....z....Q..GT.U| +000002a0 40 11 9b e3 06 69 a8 48 d2 c5 af 2f 38 bb 60 1d 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|..P....a.#7....W| +00000380 1a b2 17 d8 97 41 0f 80 54 e0 c2 0b b9 db d6 1b |.....A..T.......| +00000390 71 58 56 32 5f cc 98 e3 19 c4 1c 6e 76 9a 84 17 |qXV2_......nv...| +000003a0 97 54 a5 30 9b e6 f2 12 3e 56 b4 99 cf d2 90 a3 |.T.0....>V......| +000003b0 f2 55 57 56 43 eb b1 77 20 7a 9f 01 36 ee 5f 5b |.UWVC..w z..6._[| +000003c0 80 c0 c4 8d 4b 9d 15 44 b3 2b 47 7e d1 50 13 43 |....K..D.+G~.P.C| +000003d0 71 49 47 3c 21 e4 53 fb 0c 7e 40 19 8d b5 0f 39 |qIG>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 01 50 0f 46 fa 37 1f |..........P.F.7.| -00000010 4c f8 24 ae 3a 27 4f 95 c0 e3 2b 29 e9 1b 47 08 |L.$.:'O...+)..G.| -00000020 56 38 1c 3c 22 f7 7c d5 9d 37 ec 99 f2 e0 33 99 |V8.<".|..7....3.| -00000030 b4 29 c9 b2 d1 0f 3a 7b 77 f8 9c 96 dd 8b a8 6c |.)....:{w......l| -00000040 f7 91 08 86 81 06 15 93 f4 db e9 cb 32 da 3c 7e |............2.<~| -00000050 91 26 b9 a9 93 89 9e ce c1 28 6a d8 be eb dd 45 |.&.......(j....E| -00000060 37 8f b4 18 55 64 04 e4 c2 75 99 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+00000180 5a 8f 3f 67 27 95 fc 8f f9 c4 a0 44 cb bb ba de |Z.?g'......D....| +00000190 1b ce 7a 37 6c b6 95 bb c4 62 f2 d9 84 2b c1 e8 |..z7l....b...+..| +000001a0 19 e5 c2 d9 df 16 12 40 00 6b 0e 99 ef 0d d0 0e |.......@.k......| +000001b0 1f b7 8e b8 b7 a2 86 31 91 17 03 03 00 35 11 b7 |.......1.....5..| +000001c0 08 5e 8b 8f 16 92 33 73 25 d1 94 a0 28 1e a0 33 |.^....3s%...(..3| +000001d0 be 25 cd e9 eb 0d 29 4d ea 63 e1 44 60 88 26 f0 |.%....)M.c.D`.&.| +000001e0 c4 8a ee 9d fe 1c ec 37 1f 19 f6 f5 fd 35 7b 86 |.......7.....5{.| +000001f0 af 79 1b 17 03 03 00 17 7f de 37 0f fa 4f ac 15 |.y........7..O..| +00000200 82 fd 7e 84 72 03 30 5a 6e b8 c6 ed 31 6f 18 17 |..~.r.0Zn...1o..| +00000210 03 03 00 13 6a 30 db 1f cf b1 46 55 5e 62 a4 7d |....j0....FU^b.}| +00000220 67 d5 16 ef 5e 28 28 |g...^((| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA index 6afd3dc8ae7..019f8952bc8 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-ECDSA @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,129 +7,129 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 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31 d7 81 0b 26 09 75 be d9 c8 5d f6 28 cc ca |.1...&.u...].(..| +00000290 37 68 0c 81 78 4a 70 a6 cf 96 04 92 58 de 4d 24 |7h..xJp.....X.M$| +000002a0 b2 84 94 ed 7f b6 37 b5 f4 33 94 75 05 e5 68 fe |......7..3.u..h.| +000002b0 bd 39 be d2 e0 83 a1 32 41 70 17 03 03 00 35 54 |.9.....2Ap....5T| +000002c0 d6 fb 9d 58 e9 86 5d b0 ca 0f f3 cd 9c 4c d8 88 |...X..]......L..| +000002d0 28 ff 6c c9 1d 85 8d e9 72 56 1a f9 48 78 60 ad |(.l.....rV..Hx`.| +000002e0 6f 96 18 40 bd 6b 34 c0 ea 66 62 45 71 85 ec 8d |o..@.k4..fbEq...| +000002f0 09 ac cb 82 17 03 03 00 17 44 fd 91 ed 48 30 60 |.........D...H0`| +00000300 13 e1 d4 b2 6f a7 8e 0f 4f 49 89 f6 8e 2e 71 a0 |....o...OI....q.| +00000310 17 03 03 00 13 45 45 f9 5c 9f e7 48 40 4d 05 0a |.....EE.\..H@M..| +00000320 e4 08 31 6d bc d2 5f a0 |..1m.._.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-RSAPSS b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-RSAPSS index 376af27d977..11513ab4891 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-RSAPSS +++ b/src/crypto/tls/testdata/Client-TLSv13-ClientCert-RSA-RSAPSS @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,138 +7,138 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 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|................| +00000090 c3 18 73 7f aa 4e 55 6e e2 31 ca 24 30 c9 d7 3f |..s..NUn.1.$0..?| +000000a0 1f 17 03 03 02 22 a7 86 cf b9 e8 87 f6 5d 19 50 |.....".......].P| +000000b0 5a f3 d8 cf 37 62 8c 74 cb 64 d7 cb 1a ae 89 cb |Z...7b.t.d......| +000000c0 19 0e 34 f4 a7 58 97 cc c1 a8 f6 33 21 78 c4 ae |..4..X.....3!x..| +000000d0 14 93 31 dc 10 94 2b 9a dd 0f 7e 9c 36 4c da 07 |..1...+...~.6L..| +000000e0 d4 00 7e 74 b1 0c c5 28 0f 0d d0 51 40 be 2f f1 |..~t...(...Q@./.| +000000f0 1c ef 0e e8 de f9 a0 d2 e4 2c df 89 d9 c0 ed 7f |.........,......| +00000100 0a de cf 58 29 b0 f7 ff a9 46 41 c3 3f 69 63 68 |...X)....FA.?ich| +00000110 78 ab d7 77 28 54 17 8d d5 43 88 f0 56 80 bf f7 |x..w(T...C..V...| +00000120 f2 e6 70 f3 73 40 54 35 c3 df 0a fe b5 0a c1 40 |..p.s@T5.......@| +00000130 02 f3 0b 9a 2f e4 67 f9 91 19 2a 56 a6 98 f6 03 |..../.g...*V....| +00000140 3d a4 a0 ce 74 19 33 63 be 45 46 1d 8e 16 7e ad |=...t.3c.EF...~.| +00000150 4a cc 41 ff 8f 96 ac 9e b9 90 6b 0a ea 8f 1d 41 |J.A.......k....A| +00000160 42 6d c5 b9 db 39 f0 18 68 0a c1 c9 fe 80 19 b2 |Bm...9..h.......| +00000170 93 0b ef a6 89 3b cc 23 6b 7f 8e 1b e1 c1 e9 b1 |.....;.#k.......| +00000180 68 63 c8 3f 41 58 66 08 4f df 89 06 ee 11 0d b2 |hc.?AXf.O.......| +00000190 66 d6 9d 80 82 74 97 51 7e 29 14 9b 97 2f b8 5b |f....t.Q~).../.[| +000001a0 23 47 4e 43 b5 af 85 e7 be be ed c4 34 7f 7f b1 |#GNC........4...| +000001b0 96 74 bb 6d 33 a5 2d 41 3f d0 e5 d5 7d 97 96 5e |.t.m3.-A?...}..^| +000001c0 95 dc c9 47 c2 cb 39 f1 8d bc 9d ee c0 0c 97 5d |...G..9........]| +000001d0 03 01 05 f5 42 fb 62 0a 8b e8 17 73 85 c8 0a a7 |....B.b....s....| +000001e0 95 91 1f fc 2c 2e 08 a1 85 23 f7 92 05 07 54 90 |....,....#....T.| +000001f0 d2 b6 f0 ff 17 b4 3b 42 db ad 64 5a 19 a2 c7 83 |......;B..dZ....| +00000200 66 8c 2f 60 76 4f 7b 33 b3 7e 9f 1b b6 59 6c 6d |f./`vO{3.~...Ylm| +00000210 24 c0 b0 39 b3 30 de f0 52 e4 7f ee 6f f9 0f d3 |$..9.0..R...o...| +00000220 3d dd 98 b6 48 6a b9 c9 fa 38 49 46 c8 84 e2 d8 |=...Hj...8IF....| +00000230 b4 03 1c 2b 3a b2 37 8d 7a 7e 06 24 1c 22 f2 1e |...+:.7.z~.$."..| +00000240 4a 3c ed 91 20 bd c5 e9 c7 6d 77 45 83 74 eb e7 |J<.. ....mwE.t..| +00000250 30 d0 ec d5 10 ad 0f 5d 34 e6 51 20 55 22 4d 44 |0......]4.Q U"MD| +00000260 3b 78 63 42 a8 71 21 6a 0b c6 d7 f1 5f e6 08 89 |;xcB.q!j...._...| +00000270 f2 e6 17 10 a8 77 82 9a af ec d8 3c 59 4f 29 25 |.....w......:....G..| +000002a0 72 dd 8b 40 97 af 49 70 09 95 97 98 e8 ca ab 4b |r..@..Ip.......K| +000002b0 ce 33 e3 5b 5a ad bd be 8c 4c 5e 39 57 5c 77 fa |.3.[Z....L^9W\w.| +000002c0 fc 67 f8 28 93 98 2f e1 17 03 03 00 a4 09 c8 b8 |.g.(../.........| +000002d0 0c ca 4e 7a ff 99 39 c5 d5 10 37 e0 7b 04 03 c5 |..Nz..9...7.{...| +000002e0 58 de 62 35 5c c8 93 92 b2 9b b3 80 07 c5 dd 80 |X.b5\...........| +000002f0 cc 2f 14 33 3f 65 73 bf 49 8a a7 9c 2a ab a9 28 |./.3?es.I...*..(| +00000300 36 35 49 e5 3a 35 b2 66 f5 66 fd bb eb 65 62 55 |65I.:5.f.f...ebU| +00000310 8d 63 b5 e8 7f 30 ed f0 0b b1 0e c6 b6 e8 59 4c |.c...0........YL| +00000320 39 28 36 2f b5 4e 3b cf 4a 09 f9 ff c2 6e a4 af |9(6/.N;.J....n..| +00000330 0c 07 d1 4c 44 69 84 7b 5c da 27 69 c7 d5 7c 88 |...LDi.{\.'i..|.| +00000340 23 fe ff 50 b9 13 df 1d 4e 21 ac 14 84 98 ba f2 |#..P....N!......| +00000350 65 82 fd eb f2 72 7c 73 77 27 8b fc 5c db e2 31 |e....r|sw'..\..1| +00000360 cc f1 85 ba 68 4a 76 e4 d1 47 27 74 f6 b1 99 0e |....hJv..G't....| +00000370 36 17 03 03 00 35 90 d6 b3 06 40 da 48 59 98 19 |6....5....@.HY..| +00000380 89 09 8f 1d 3e 24 01 1e 23 c1 7b 52 41 f0 2a c6 |....>$..#.{RA.*.| +00000390 8e 33 c5 1f 9b 29 02 a8 c7 3b 83 2e d3 92 a5 a0 |.3...)...;......| +000003a0 7e ac 23 04 4d c0 53 59 0a 91 1b |~.#.M.SY...| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 09 c0 1a 04 b7 |..........5.....| -00000010 91 9a 1b 16 24 8f 78 24 3e b6 b1 83 e7 52 30 74 |....$.x$>....R0t| -00000020 45 a9 ae 4a 6b 4a f3 b9 6b 1c 3f 71 18 2b 5f a5 |E..JkJ..k.?q.+_.| -00000030 af e1 da 93 9d 51 b0 f3 42 c8 e7 2c 5e 6b 3c 8c |.....Q..B..,^k<.| -00000040 17 03 03 00 17 e6 6d 3e ab 3a 93 8b 3e f5 ae fd |......m>.:..>...| -00000050 6b cc 24 a7 77 63 14 06 66 ad a6 d6 17 03 03 00 |k.$.wc..f.......| -00000060 13 e0 ae bd 66 48 1b 32 d3 a9 c0 6e 6e a3 67 88 |....fH.2...nn.g.| -00000070 68 29 ab e2 |h)..| +00000000 14 03 03 00 01 01 17 03 03 00 35 10 e0 01 ca f7 |..........5.....| +00000010 4d 2b cb 95 a5 ac 48 e6 92 34 28 39 4f 5b c7 e5 |M+....H..4(9O[..| +00000020 5b a8 a1 6a f1 0a a6 21 77 92 ef fa f5 cc 41 55 |[..j...!w.....AU| +00000030 bd 5b 6d 68 80 22 e7 1b 2a 29 bb ef dc ed 37 b6 |.[mh."..*)....7.| +00000040 17 03 03 00 17 a1 5b 8f 83 06 c8 f6 8b 42 d0 c0 |......[......B..| +00000050 fd 36 c0 26 8e 04 89 61 2b d1 1b 7f 17 03 03 00 |.6.&...a+.......| +00000060 13 33 f1 a9 7e 1d 21 da e4 29 74 46 76 61 31 ce |.3..~.!..)tFva1.| +00000070 f6 b1 5b cd |..[.| diff --git a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 index 4ce57b34688..b3bd6f8298f 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-Ed25519 +++ b/src/crypto/tls/testdata/Client-TLSv13-Ed25519 @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,63 +7,63 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 2b 5e b0 8f 95 |....z...v..+^...| -00000010 cf 53 ec f9 8a 53 4a 05 fd 49 b9 28 52 1c 54 44 |.S...SJ..I.(R.TD| -00000020 b9 99 4a 56 9c fc d0 8b d0 11 04 20 00 00 00 00 |..JV....... ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 53 04 82 7c f6 |....z...v..S..|.| +00000010 e4 8a 60 60 6e 26 7e 0a 78 c1 03 01 b8 b6 84 cc |..``n&~.x.......| +00000020 d5 48 a9 ea 34 7e 40 9c 51 07 bc 20 00 00 00 00 |.H..4~@.Q.. ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 13 |..+.....3.$... .| -00000060 0c f3 f6 57 03 9d c0 ac 72 9a c0 2f bd 30 ec 7c |...W....r../.0.|| -00000070 23 c5 12 09 02 fd b1 43 d4 e4 f3 26 e4 de 58 14 |#......C...&..X.| -00000080 03 03 00 01 01 17 03 03 00 17 83 9d 92 48 d4 1e |.............H..| -00000090 f6 2d 9a f6 53 42 7c b4 f6 75 a8 b4 3c ca 65 28 |.-..SB|..u..<.e(| -000000a0 2f 17 03 03 01 50 cb 49 16 0e e5 4b 1e 94 60 1c |/....P.I...K..`.| -000000b0 e9 e2 f5 d3 36 62 da 35 09 6e c9 72 f8 1d 3a 82 |....6b.5.n.r..:.| -000000c0 85 e2 82 00 7e 87 ea 9f e2 10 be a1 3a 90 23 00 |....~.......:.#.| -000000d0 d5 78 e7 c0 ff a6 ab 4f 78 db 6e ab 99 7a 37 ea |.x.....Ox.n..z7.| -000000e0 2a ec 68 14 ac 5a e4 03 8a 6f 0f fb 7a df 2a de |*.h..Z...o..z.*.| -000000f0 2d d6 91 f8 9f e0 5c 5a c8 e3 64 b2 9e e8 9b 1a |-.....\Z..d.....| -00000100 9f 2f df 39 23 e4 77 e6 41 24 99 d2 6c 4d ba 5a |./.9#.w.A$..lM.Z| -00000110 1e 83 fb 69 c5 45 04 97 99 0b f6 aa e8 82 7f ad |...i.E..........| -00000120 9a c6 89 ce de 6c f8 89 66 da 67 93 92 62 71 a2 |.....l..f.g..bq.| -00000130 38 2e ff b5 26 bb 28 5c 85 0e d7 8a fc 09 ad af |8...&.(\........| -00000140 fa d1 91 10 a1 55 b7 93 25 b5 55 d1 2f 09 52 82 |.....U..%.U./.R.| -00000150 dc 62 a6 23 30 66 b2 14 b4 a7 65 53 c9 b2 ea f6 |.b.#0f....eS....| -00000160 a4 55 ad 3a d2 17 07 05 6d 6d 22 14 d4 61 ca b1 |.U.:....mm"..a..| -00000170 e6 0c 55 99 92 4e 69 7d 4c 08 af 8c 6a 18 1f 23 |..U..Ni}L...j..#| -00000180 f9 11 3e 77 fe f0 23 67 09 66 69 7a ff 7a 58 a8 |..>w..#g.fiz.zX.| -00000190 8b a4 cc b1 d7 89 82 ec 46 97 f7 46 b3 55 26 e6 |........F..F.U&.| -000001a0 6c 2f ab 12 e8 89 0d 9f 60 72 72 ff b7 67 ea be |l/......`rr..g..| -000001b0 db bf f5 bd ea 85 64 ff 09 f3 ac c3 52 fe e8 97 |......d.....R...| -000001c0 d7 05 97 7a 3d 44 4e 68 53 d1 54 31 6b ec e7 86 |...z=DNhS.T1k...| -000001d0 bb 62 7f ae f6 e5 dd f8 59 39 07 b5 7e f8 c0 4c |.b......Y9..~..L| -000001e0 86 9f 4c b6 55 3c 50 a2 ad 6d fc b1 84 3b 41 1e |..L.U..6..| +000000e0 d4 10 01 12 3e 69 76 47 df 4e 2a ab 8a 7d 0e 46 |....>ivG.N*..}.F| +000000f0 a4 48 25 7d a2 7f 83 2f 6e c9 9b 8a 46 00 6b 68 |.H%}.../n...F.kh| +00000100 98 1a 51 89 91 29 0a d1 73 6c e9 af 5f b1 4d 3e |..Q..)..sl.._.M>| +00000110 a4 27 8a 2b 55 2a 79 bb 7d 88 a9 93 5c 18 28 2f |.'.+U*y.}...\.(/| +00000120 a1 aa d8 8c 6c 8e 6b 8d 1f 57 8a a9 22 a8 03 5d |....l.k..W.."..]| +00000130 b7 db f4 a4 00 83 d4 49 28 67 a3 7e dc 47 c5 2d |.......I(g.~.G.-| +00000140 0c 90 48 06 66 d7 4f fc e9 e7 c1 7c 43 4a 05 eb |..H.f.O....|CJ..| +00000150 b8 ee 5f 0f 87 de 98 bb 1d 51 3a 10 6d 8a 99 2b |.._......Q:.m..+| +00000160 1c 52 96 4b 63 ab 0f ea f8 86 1f d3 1a 32 bf 79 |.R.Kc........2.y| +00000170 7a 1f 75 09 d7 0f 9c 47 71 cb 67 c2 72 c6 2e 8b |z.u....Gq.g.r...| +00000180 26 ef 32 00 8c 0d 0e b3 9a f4 5f c7 7e b3 58 50 |&.2......._.~.XP| +00000190 79 0e 4b 93 83 31 14 ca dd e4 86 dc 12 3f b7 e0 |y.K..1.......?..| +000001a0 eb 73 2d 9d 57 cd 0d eb 02 7f 1d 96 bb 97 f7 d1 |.s-.W...........| +000001b0 d8 56 77 81 39 c1 ef 6e 64 3d 8c 62 39 73 da c4 |.Vw.9..nd=.b9s..| +000001c0 50 ce 0b b9 70 30 1f 76 37 7a c9 5a a7 49 5b c3 |P...p0.v7z.Z.I[.| +000001d0 2d 00 3d fe 77 18 64 04 f7 2d b8 e9 06 8d 7b 37 |-.=.w.d..-....{7| +000001e0 5f 76 4f 91 33 7b 09 0c bf fc c8 d1 6e 79 a9 0f |_vO.3{......ny..| +000001f0 cf db cf a2 be fd 17 03 03 00 59 7b 08 b1 2a ae |..........Y{..*.| +00000200 97 dd 93 84 78 b6 9a 13 6b c4 d3 1c eb d9 c0 f3 |....x...k.......| +00000210 a4 8c ac fb bb 8e c7 3b 27 cc c0 d7 01 18 e7 1e |.......;'.......| +00000220 12 ec 76 54 52 eb fd e0 cd 85 0d 6c 52 7f b8 14 |..vTR......lR...| +00000230 19 48 29 77 71 3b d3 ce cb 55 1c 6b 2b aa 1a a7 |.H)wq;...U.k+...| +00000240 52 35 6f 52 f4 36 34 e1 b1 54 7e 86 8f 03 fd 16 |R5oR.64..T~.....| +00000250 ea 9f a4 6a 17 03 03 00 35 16 31 24 cd 72 3e 0b |...j....5.1$.r>.| +00000260 5e fa f4 73 96 12 3c 9d e8 bd 21 1f 06 06 fb 71 |^..s..<...!....q| +00000270 24 7c 26 62 3d d0 f9 fb f4 30 07 27 ab 3e 54 8e |$|&b=....0.'.>T.| +00000280 4a bf 9f a9 74 b5 ce a2 16 6a 69 a9 c5 33 |J...t....ji..3| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 36 aa e0 eb 05 |..........56....| -00000010 c2 8b fa 19 a8 0c a9 19 04 98 ae fe 1c 8f 27 73 |..............'s| -00000020 db 99 77 6c 94 b0 f1 d8 9f 31 1c 83 be ab 82 67 |..wl.....1.....g| -00000030 a1 78 ed ca ac 1f 5c 21 d7 fe 5a e6 47 02 63 37 |.x....\!..Z.G.c7| -00000040 17 03 03 00 17 af 14 2b 5f 4a d9 5b 6e 1e d2 b5 |.......+_J.[n...| -00000050 fa 64 5b 88 ff c7 57 05 46 47 65 08 17 03 03 00 |.d[...W.FGe.....| -00000060 13 e1 22 d9 2d cb 93 17 cb 36 24 64 72 69 57 b0 |..".-....6$driW.| -00000070 98 ee f5 12 |....| +00000000 14 03 03 00 01 01 17 03 03 00 35 ad ca 92 a0 d6 |..........5.....| +00000010 9a 4e 88 ae 6d f5 c9 20 11 d7 1b 81 b5 83 c8 62 |.N..m.. .......b| +00000020 65 4c 79 86 9f 6b aa 84 d7 73 01 70 db f2 f2 cd |eLy..k...s.p....| +00000030 0b d8 a4 b8 cc 03 bb 0c 9d 3d 83 ee f3 f1 db 3b |.........=.....;| +00000040 17 03 03 00 17 37 8e 77 a5 33 c1 66 dc f0 ee b7 |.....7.w.3.f....| +00000050 2a 36 b9 67 1b 95 02 62 54 f4 5f 94 17 03 03 00 |*6.g...bT._.....| +00000060 13 f7 74 48 62 8a 09 33 04 02 1c a2 e5 2e d5 fe |..tHb..3........| +00000070 f1 bc 5d 2b |..]+| diff --git a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial index b6e0bb7f72c..0408d892c4d 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial +++ b/src/crypto/tls/testdata/Client-TLSv13-ExportKeyingMaterial @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fe 01 00 00 fa 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 00 01 00 00 fc 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,85 +7,85 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7f 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000080 01 00 00 81 00 05 00 05 01 00 00 00 00 00 0a 00 |................| 00000090 0a 00 08 00 1d 00 17 00 18 00 19 00 0b 00 02 01 |................| -000000a0 00 00 0d 00 1e 00 1c 08 04 04 03 08 07 08 05 08 |................| +000000a0 00 00 0d 00 20 00 1e 08 04 04 03 08 07 08 05 08 |.... ...........| 000000b0 06 04 01 05 01 06 01 05 03 06 03 02 01 02 03 fe |................| -000000c0 61 fe 62 ff 01 00 01 00 00 12 00 00 00 2b 00 09 |a.b..........+..| -000000d0 08 03 04 03 03 03 02 03 01 00 33 00 26 00 24 00 |..........3.&.$.| -000000e0 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f |.. /.}.G.bC.(.._| -000000f0 bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 |.).0.........._X| -00000100 cb 3b 74 |.;t| +000000c0 61 fe 62 08 08 ff 01 00 01 00 00 12 00 00 00 2b |a.b............+| +000000d0 00 09 08 03 04 03 03 03 02 03 01 00 33 00 26 00 |............3.&.| +000000e0 24 00 1d 00 20 2f e5 7d a3 47 cd 62 43 15 28 da |$... /.}.G.bC.(.| +000000f0 ac 5f bb 29 07 30 ff f6 84 af c4 cf c2 ed 90 99 |._.).0..........| +00000100 5f 58 cb 3b 74 |_X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 dc 12 2e 04 77 |....z...v......w| -00000010 96 73 ac 5c 33 45 bc fd b4 5e 54 5b c4 6c 67 fa |.s.\3E...^T[.lg.| -00000020 ed 5a c2 da ba 7e 67 26 71 9f 51 20 00 00 00 00 |.Z...~g&q.Q ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 21 c4 39 aa bf |....z...v..!.9..| +00000010 5f d9 83 0d 5d 33 60 37 8c b2 ff 0d 78 e3 42 87 |_...]3`7....x.B.| +00000020 9d 6a 32 90 7b de 78 e6 e2 00 93 20 00 00 00 00 |.j2.{.x.... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 f6 |..+.....3.$... .| -00000060 c5 8b 92 c9 4b a0 16 28 fb af e4 fa 0c d6 cf 3b |....K..(.......;| -00000070 03 9f ae 33 05 b3 63 85 a7 46 70 79 5f 96 7d 14 |...3..c..Fpy_.}.| -00000080 03 03 00 01 01 17 03 03 00 17 d7 e8 32 e5 a2 b2 |............2...| -00000090 fe 9b cd ef 6e a0 48 01 05 43 5f 19 b7 6a dc 0c |....n.H..C_..j..| -000000a0 64 17 03 03 02 6d 09 99 12 e5 9a c3 1a c8 62 ab |d....m........b.| -000000b0 8a 93 6c dd 2f e1 85 2f 22 de 43 b6 d3 dc b6 04 |..l./../".C.....| -000000c0 57 a9 b5 a8 d0 96 5d 18 ad 9b 38 4e 95 2a 0c 0a |W.....]...8N.*..| -000000d0 8d 20 d9 79 d3 e2 da b0 d3 47 c8 fd 2c da 17 b7 |. .y.....G..,...| -000000e0 57 13 1b fc b4 cf 89 db ec 37 17 d2 57 0e 18 cf |W........7..W...| -000000f0 5f 4b 10 06 f9 3b 1b 0e ca 7c e2 74 31 5f 8d 0f |_K...;...|.t1_..| -00000100 8d 9b b7 fe 2e 14 5b fe dd e4 a2 ab f5 99 6a ca |......[.......j.| -00000110 f3 d0 33 f3 58 9e e7 84 93 24 35 6d 45 93 3b 1f |..3.X....$5mE.;.| -00000120 33 43 af bb 91 29 76 8e 17 cf 58 2d 52 2f 20 6f |3C...)v...X-R/ o| -00000130 a1 47 e5 b5 de 72 4c b2 db b2 8c b1 fd 02 c4 76 |.G...rL........v| -00000140 43 f4 25 7f 36 80 fd d6 0f c1 55 3c a5 84 56 9e |C.%.6.....U<..V.| -00000150 9f 14 2e 29 68 6b 6b a3 45 29 b3 c8 ae ff cb 62 |...)hkk.E).....b| -00000160 9e c2 cd 32 23 01 be a2 ee b1 1f d5 3f e9 37 23 |...2#.......?.7#| -00000170 9b 69 7b 6e 45 e1 d1 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ca 9f c8 |.j.z+R......H...| +00000390 18 a8 a8 50 12 14 7f 2a e9 4c 96 6f 57 9d 66 5c |...P...*.L.oW.f\| +000003a0 ba a0 2d e1 52 37 b5 c1 9b 76 43 b2 e8 84 53 3c |..-.R7...vC...S<| +000003b0 be 17 03 03 00 35 8f 39 78 66 11 c2 24 c6 1a 79 |.....5.9xf..$..y| +000003c0 c4 4f de 76 87 d1 24 c9 d0 4f d0 be d8 72 bf ed |.O.v..$..O...r..| +000003d0 78 28 05 cf e4 72 6d 35 88 07 1b ce ac c6 d0 8a |x(...rm5........| +000003e0 75 a5 fd a1 9e 06 1c 38 47 0e 93 |u......8G..| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 74 52 61 56 39 |..........5tRaV9| -00000010 15 65 33 f1 95 49 3e a0 a7 8f 32 03 07 74 7d ee |.e3..I>...2..t}.| -00000020 06 ed 30 74 f6 82 0d 8b 4d 93 a5 1e 87 6b a7 3a |..0t....M....k.:| -00000030 b7 c9 cd 3b 26 e0 3f 6e 61 33 cd 5f b0 6f 48 8c |...;&.?na3._.oH.| -00000040 17 03 03 00 17 b5 5a 8e 57 5e 44 9c ed 7a b4 16 |......Z.W^D..z..| -00000050 1f 4d 66 79 95 e0 0d c2 bd 53 14 b7 17 03 03 00 |.Mfy.....S......| -00000060 13 5a 95 7a 1e 57 ac a6 10 1a be 81 8f c3 a5 77 |.Z.z.W.........w| -00000070 3e fa 35 3b |>.5;| +00000000 14 03 03 00 01 01 17 03 03 00 35 69 03 1d cc 94 |..........5i....| +00000010 59 f8 91 58 29 4e 88 e1 88 44 2b 93 b4 6a 9a 76 |Y..X)N...D+..j.v| +00000020 a3 fb 58 64 2a d4 95 d9 3a 5d 60 48 8a 52 60 3d |..Xd*...:]`H.R`=| +00000030 01 c3 b6 9f c1 12 fe f6 6f 1c 31 03 21 61 e4 e0 |........o.1.!a..| +00000040 17 03 03 00 17 85 08 f1 af 00 7c e1 b9 f6 ad a3 |..........|.....| +00000050 e0 b1 24 c4 e5 34 49 19 37 53 f8 dd 17 03 03 00 |..$..4I.7S......| +00000060 13 4d d3 16 f0 be e1 13 2d b8 99 7d 95 f8 c7 b4 |.M......-..}....| +00000070 b8 1c 81 5e |...^| diff --git a/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest b/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest index a5edcd6a908..88fb3b7775b 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest +++ b/src/crypto/tls/testdata/Client-TLSv13-HelloRetryRequest @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fc 01 00 00 f8 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,14 +7,15 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000080 01 00 00 7d 00 05 00 05 01 00 00 00 00 00 0a 00 |...}............| 00000090 06 00 04 00 1d 00 17 00 0b 00 02 01 00 00 0d 00 |................| -000000a0 1e 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 |................| -000000b0 01 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff |............a.b.| -000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| -000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| -000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| -000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| +000000a0 20 00 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 | ...............| +000000b0 01 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 |............a.b.| +000000c0 08 ff 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 |...........+....| +000000d0 04 03 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 |........3.&.$...| +000000e0 20 2f e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 | /.}.G.bC.(.._.)| +000000f0 07 30 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b |.0.........._X.;| +00000100 74 |t| >>> Flow 2 (server to client) 00000000 16 03 03 00 58 02 00 00 54 03 03 cf 21 ad 74 e5 |....X...T...!.t.| 00000010 9a 61 11 be 1d 8c 02 1e 65 b8 91 c2 a2 11 16 7a |.a......e......z| @@ -24,7 +25,7 @@ 00000050 0c 00 2b 00 02 03 04 00 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0a cb 79 0c 4b c4 aa ee e2 55 4c 4c 92 |.....y.K....ULL.| +00000370 99 cb 61 25 14 de c3 82 a0 23 0a 90 f8 13 8c 43 |..a%.....#.....C| +00000380 17 1c e5 56 0d 21 d7 58 50 df ea d8 12 cd ef c7 |...V.!.XP.......| +00000390 46 f8 49 92 f7 eb 3d 29 d4 72 ef 0c 46 f0 6a aa |F.I...=).r..F.j.| +000003a0 73 73 94 84 ef ad 58 a5 74 18 2a f1 a7 31 5a 6c |ss....X.t.*..1Zl| +000003b0 8c ca 2f 99 58 b9 b1 54 e4 2b cc ac 53 bd 27 bd |../.X..T.+..S.'.| +000003c0 b9 01 41 37 4d b7 2f 03 f4 14 32 c3 17 03 03 00 |..A7M./...2.....| +000003d0 35 a8 76 c5 67 1c 67 c8 c8 be bd ef d7 e6 be 67 |5.v.g.g........g| +000003e0 9f 64 5e 83 a6 2d f6 06 41 e6 1d 4f e6 f1 b7 97 |.d^..-..A..O....| +000003f0 91 a0 11 6d 92 1c c7 fb d8 7b 7e e2 62 a8 5c 81 |...m.....{~.b.\.| +00000400 6e ba 6e f4 c5 7f |n.n...| >>> Flow 5 (client to server) -00000000 17 03 03 00 35 5c a6 f3 a8 68 5e 97 0f bd 98 45 |....5\...h^....E| -00000010 09 34 3c 00 80 65 0f 98 b3 a0 f3 f8 ba e3 43 81 |.4<..e........C.| -00000020 55 a7 d6 19 04 b6 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-00000370 69 7a 51 21 99 4d 60 b9 f0 28 62 45 31 aa c9 9b |izQ!.M`..(bE1...| -00000380 78 13 86 a6 31 85 59 6a d4 25 c8 d7 3a 0b f3 4e |x...1.Yj.%..:..N| -00000390 fa 7d e1 a7 12 ad c6 dd ac 0f 77 be 99 32 0c 7c |.}........w..2.|| -000003a0 07 e8 90 a2 19 c7 3b 93 93 10 a7 46 ad 10 ac 1f |......;....F....| -000003b0 2f 17 03 03 00 35 cd 23 e0 73 4e 59 bc 93 af 15 |/....5.#.sNY....| -000003c0 08 38 ab 7d 42 d3 43 f6 29 78 cb 7c 42 4b a3 7e |.8.}B.C.)x.|BK.~| -000003d0 3d c4 43 d2 22 26 c5 4c 93 4c 86 62 3a 36 48 41 |=.C."&.L.L.b:6HA| -000003e0 7e d8 05 74 e9 dc fd 7d e8 1e 1e |~..t...}...| +00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 0e |..+.....3.$... .| +00000060 81 5a fe 9b 55 cc 95 65 f7 ee 30 da c0 a6 45 33 |.Z..U..e..0...E3| +00000070 5c 96 19 ab 2b 93 6a 44 95 a7 b4 71 66 25 60 14 |\...+.jD...qf%`.| +00000080 03 03 00 01 01 17 03 03 00 17 bf cb c6 b0 27 53 |..............'S| +00000090 c5 06 d0 9b f5 54 8e ac a2 07 d7 06 50 b5 05 5f |.....T......P.._| +000000a0 54 17 03 03 02 6d 74 98 8f 37 97 77 f6 ec b3 2e |T....mt..7.w....| +000000b0 06 88 e5 e2 6a e8 dd 56 d0 ae e6 fd 64 73 8e 1d |....j..V....ds..| +000000c0 00 4b 85 a6 20 96 2a 21 ee 4b 0e 49 b9 64 b2 8f |.K.. .*!.K.I.d..| +000000d0 99 27 ed a5 82 40 99 b1 9b 72 35 f4 ab ad 90 ac |.'...@...r5.....| +000000e0 43 0a 35 96 30 5f 40 16 51 e7 5f c5 06 df 68 13 |C.5.0_@.Q._...h.| +000000f0 91 1b e4 da 1e 89 0c f3 d6 87 a6 0d 39 08 cc db |............9...| +00000100 fb 30 d4 7f 27 e5 c4 b3 6a 09 b9 f5 c5 0f 00 1b |.0..'...j.......| +00000110 b3 9c a0 0e 28 52 92 e6 34 b8 11 24 55 1c 49 96 |....(R..4..$U.I.| +00000120 a5 7f 00 dc 7a e7 38 fc 98 e3 b3 ec 54 73 45 62 |....z.8.....TsEb| +00000130 43 4b 47 fe 65 4f da 43 fa 6b 9a 6e 87 ed ec 9d |CKG.eO.C.k.n....| +00000140 f3 d0 a6 69 5e 98 0d 6b ae f7 aa 8d 60 e0 46 79 |...i^..k....`.Fy| +00000150 72 6f c1 b0 44 21 6a 62 c3 3a 7f bb f6 ab 16 4a |ro..D!jb.:.....J| +00000160 4c 3c 35 d4 d4 9f 6b 45 f2 a6 3c b7 e0 6e 80 8a |L<5...kE..<..n..| +00000170 93 0c d7 2d 9c 03 f4 92 06 61 59 34 f0 7d 27 1f |...-.....aY4.}'.| +00000180 38 a9 e9 78 f2 b2 3d a7 12 c4 0e ca c7 a1 85 5d |8..x..=........]| +00000190 fd 31 3f ee 31 4e c3 78 0d 10 46 5f 71 fe 7b 92 |.1?.1N.x..F_q.{.| +000001a0 88 0c 0d 1b 54 8a 2d e7 01 7b 77 07 b8 56 d9 d5 |....T.-..{w..V..| +000001b0 3c 76 a3 bc 67 75 a2 96 b3 ae b0 72 80 06 e8 6f |>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 bc 79 73 ca 88 |..........5.ys..| -00000010 36 b9 48 ee 26 d0 ca 62 19 4d 12 ca 36 20 1b 68 |6.H.&..b.M..6 .h| -00000020 41 21 1b 74 f5 75 ee 19 45 06 6e a4 03 2e 73 21 |A!.t.u..E.n...s!| -00000030 41 12 6b bc 15 9d 95 4b 4a 6b d2 2a af 05 0c d2 |A.k....KJk.*....| -00000040 17 03 03 00 17 ee 67 72 53 7b a4 d1 e5 61 11 b2 |......grS{...a..| -00000050 b0 c1 1a a8 3c aa 52 71 1c 7e dd 0e |....<.Rq.~..| +00000000 14 03 03 00 01 01 17 03 03 00 35 06 03 8b 82 ad |..........5.....| +00000010 01 7e 18 0e 0d 82 ad cb 02 c9 c6 14 2e 3c 02 e2 |.~...........<..| +00000020 4d b5 98 ab a2 05 cc 19 db 8f 83 d0 58 9f 94 61 |M...........X..a| +00000030 66 7e 88 53 82 15 e1 f3 2a f0 89 d5 ab 2a 18 95 |f~.S....*....*..| +00000040 17 03 03 00 17 a9 ea 25 81 ff 26 37 db ad 07 9a |.......%..&7....| +00000050 88 5c 18 2c ae 80 73 2a ea a1 f0 ec |.\.,..s*....| >>> Flow 4 (server to client) -00000000 17 03 03 00 16 ed d7 eb fe e6 be 0c 54 53 7e 0d |............TS~.| -00000010 f6 06 37 d0 e0 fa 1c e7 72 91 7b |..7.....r.{| +00000000 17 03 03 00 16 a2 b2 37 5e 98 79 be 40 26 fc a8 |.......7^.y.@&..| +00000010 9c 83 51 a2 1c de ef af 35 ac 3c |..Q.....5.<| >>> Flow 5 (client to server) -00000000 17 03 03 00 16 bb c8 0d 47 c9 f7 f4 eb 61 94 65 |........G....a.e| -00000010 4f 0c 04 b2 5b 65 c4 7b 47 e9 3c |O...[e.{G.<| +00000000 17 03 03 00 16 5c e9 7f 66 e9 de 07 82 f2 3d 68 |.....\..f.....=h| +00000010 f1 b6 de c8 bc e1 7c ca 1b 77 0c |......|..w.| >>> Flow 6 (server to client) -00000000 17 03 03 00 1a 6a c8 3f 0c 7f 80 93 78 84 c9 8e |.....j.?....x...| -00000010 77 cf 37 8e ce 18 46 cc c3 8c 43 0e 36 5f c7 |w.7...F...C.6_.| +00000000 17 03 03 00 1a 1e 84 5c b8 7d f2 ba 09 29 0e ea |.......\.}...)..| +00000010 f8 ce 60 58 4b 1e 12 f2 ff 66 fe 85 16 0e 66 |..`XK....f....f| >>> Flow 7 (client to server) -00000000 17 03 03 00 1d 8c e9 d0 ca 3f f0 81 16 8f e8 92 |.........?......| -00000010 81 12 5a 71 83 da 2b 89 cb 65 0d 5e dd 58 4d 35 |..Zq..+..e.^.XM5| -00000020 ed 7d 17 03 03 00 13 c7 84 af e8 78 e1 d4 ff 82 |.}.........x....| -00000030 8a d5 9a b4 34 f0 b2 6e e9 05 |....4..n..| +00000000 17 03 03 00 1d 71 58 8d da 90 05 62 e5 07 50 04 |.....qX....b..P.| +00000010 74 5a ca e0 dc b9 d9 18 5f a0 cd 3b bc 1d 9f 28 |tZ......_..;...(| +00000020 12 71 17 03 03 00 13 26 ec 8a f5 19 fe 6d af 32 |.q.....&.....m.2| +00000030 19 b9 73 69 3d 59 92 97 88 5f |..si=Y..._| diff --git a/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE b/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE index f95fbd20842..fa8eecc7c87 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv13-P256-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 01 19 01 00 01 15 03 03 00 00 00 00 00 |................| +00000000 16 03 01 01 1b 01 00 01 17 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,88 +7,88 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 9a 00 05 00 05 01 00 00 00 00 00 0a 00 |................| -00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 1e 00 |................| -000000a0 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff 01 00 |..........a.b...| -000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| -000000d0 02 03 01 00 33 00 47 00 45 00 17 00 41 04 1e 18 |....3.G.E...A...| -000000e0 37 ef 0d 19 51 88 35 75 71 b5 e5 54 5b 12 2e 8f |7...Q.5uq..T[...| -000000f0 09 67 fd a7 24 20 3e b2 56 1c ce 97 28 5e f8 2b |.g..$ >.V...(^.+| -00000100 2d 4f 9e f1 07 9f 6c 4b 5b 83 56 e2 32 42 e9 58 |-O....lK[.V.2B.X| -00000110 b6 d7 49 a6 b5 68 1a 41 03 56 6b dc 5a 89 |..I..h.A.Vk.Z.| +00000080 01 00 00 9c 00 05 00 05 01 00 00 00 00 00 0a 00 |................| +00000090 04 00 02 00 17 00 0b 00 02 01 00 00 0d 00 20 00 |.............. .| +000000a0 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 ff |..........a.b...| +000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| +000000d0 03 03 02 03 01 00 33 00 47 00 45 00 17 00 41 04 |......3.G.E...A.| +000000e0 1e 18 37 ef 0d 19 51 88 35 75 71 b5 e5 54 5b 12 |..7...Q.5uq..T[.| +000000f0 2e 8f 09 67 fd a7 24 20 3e b2 56 1c ce 97 28 5e |...g..$ >.V...(^| +00000100 f8 2b 2d 4f 9e f1 07 9f 6c 4b 5b 83 56 e2 32 42 |.+-O....lK[.V.2B| +00000110 e9 58 b6 d7 49 a6 b5 68 1a 41 03 56 6b dc 5a 89 |.X..I..h.A.Vk.Z.| >>> Flow 2 (server to client) -00000000 16 03 03 00 9b 02 00 00 97 03 03 2a ea 91 60 2a |...........*..`*| -00000010 ae 72 da 32 9f 93 cc 8f 9a 55 63 bd 3a 3f 6a 79 |.r.2.....Uc.:?jy| -00000020 bc ef c8 92 66 3a 03 ca b1 b2 03 20 00 00 00 00 |....f:..... ....| +00000000 16 03 03 00 9b 02 00 00 97 03 03 53 27 c8 25 d7 |...........S'.%.| +00000010 46 6d f8 53 39 62 ae f5 fb c8 9a 0d d6 a4 b0 66 |Fm.S9b.........f| +00000020 b0 4d 92 22 80 c0 9c 95 d6 6e 55 20 00 00 00 00 |.M.".....nU ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| 00000050 4f 00 2b 00 02 03 04 00 33 00 45 00 17 00 41 04 |O.+.....3.E...A.| -00000060 1a c3 b3 6c a1 f8 13 05 8e f1 e0 c9 e0 d2 a2 15 |...l............| -00000070 72 5e 5d 33 9e 3d 6a 82 ab 49 c1 00 fb 79 1c a4 |r^]3.=j..I...y..| -00000080 75 a1 b3 87 41 d5 e7 f4 8c 6a 73 f2 5c 7e 5f f9 |u...A....js.\~_.| -00000090 1b 4e 51 68 fc be cd ea 3c 70 d8 41 9d 57 bf 31 |.NQh.......ZnP...| -00000210 e6 72 52 2e e2 5d a4 f9 44 4d 26 12 5e 93 1d 1d |.rR..]..DM&.^...| -00000220 95 e9 63 31 2c f4 42 5e ac a3 11 0b 96 f1 84 0c |..c1,.B^........| -00000230 ca e6 2d 45 06 ec 32 85 a9 64 e5 0a b8 fa 0d 2c |..-E..2..d.....,| -00000240 42 2d 03 27 a4 10 15 d8 4d 26 bc 5b 3b 67 eb 88 |B-.'....M&.[;g..| -00000250 25 52 4a ed 5d 30 ee 64 7f 59 aa 7a 27 77 a2 cb |%RJ.]0.d.Y.z'w..| -00000260 ab 20 4c 8e 50 1a 8e 9d 3a ea 23 9e 45 2c 7b 50 |. 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|...P.......9....| -00000340 15 a7 f0 45 04 9c 00 45 dc 84 cd 30 a6 ef 9d 7f |...E...E...0....| -00000350 76 0c 94 65 f0 0b 5b dd e7 32 2c 22 d3 04 8a b0 |v..e..[..2,"....| -00000360 20 00 8d f6 f1 2a 7c bc b7 f4 96 41 b3 c9 32 f5 | ....*|....A..2.| -00000370 c6 b7 d1 1f 88 49 b3 19 05 ad 75 fe 16 1b 63 14 |.....I....u...c.| -00000380 5a 2f ce 02 91 26 c2 75 a5 03 27 01 46 dd 73 8e |Z/...&.u..'.F.s.| -00000390 d9 4d 70 4c 82 ce 76 49 f5 e8 1d ab 6e d7 91 6c |.MpL..vI....n..l| -000003a0 55 e2 93 f6 ab 5d 12 4f fd bf d6 65 cf 4f ee bd |U....].O...e.O..| -000003b0 e2 17 db cb ba 46 92 a2 11 48 74 3f 75 cc 37 84 |.....F...Ht?u.7.| -000003c0 73 65 0e df 1f b7 b6 7d 17 ca 0f c7 1a 8f d9 82 |se.....}........| -000003d0 9e 2f 17 03 03 00 35 f2 d1 59 d0 c2 f3 6b c8 92 |./....5..Y...k..| -000003e0 c1 55 2d b8 e7 e3 94 2f 13 00 69 3c 92 97 ea 6f |.U-..../..i<...o| -000003f0 3e d5 df 01 71 3b 59 75 e6 bb bc 8f 75 34 0a 0c |>...q;Yu....u4..| -00000400 af 94 4c be 8a ca 0f 56 43 53 f4 20 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|(Q.!S;,<..z1.~ox| +00000130 5a d4 b4 87 97 43 3a a7 9a 87 32 e5 07 b0 c4 f0 |Z....C:...2.....| +00000140 62 4a 5c 71 68 db bf ff 60 6c 6a 51 6e cb e3 c7 |bJ\qh...`ljQn...| +00000150 ba 2d 79 39 11 b6 5f 94 ac 8c e3 12 d3 c5 a0 90 |.-y9.._.........| +00000160 33 48 41 96 0e 53 48 c8 ef 99 1d ed a3 2a 5c 56 |3HA..SH......*\V| +00000170 e7 28 7c 43 6a dc 31 54 36 10 ed 31 dc 23 5c cf |.(|Cj.1T6..1.#\.| +00000180 ce ed 16 78 e9 a5 b0 bc 6c 28 f3 4a 61 cb 05 3d |...x....l(.Ja..=| +00000190 70 95 8a 67 c4 76 8e ee 12 93 48 e2 58 f9 a5 28 |p..g.v....H.X..(| +000001a0 9d 26 c1 86 de 94 76 d3 b1 a5 e7 99 92 68 3f f6 |.&....v......h?.| +000001b0 02 36 76 09 e4 f1 d9 49 b5 b9 c9 5d 7d 78 5f a9 |.6v....I...]}x_.| +000001c0 7b 8e 2d 2b 85 e6 b8 1f 7f ca 79 58 51 5f ae 50 |{.-+......yXQ_.P| +000001d0 b9 e6 87 8b 13 11 0a 4d 13 ed 01 bd b6 e2 0f 00 |.......M........| +000001e0 14 b1 39 56 1c 08 7c 64 7e 8e 40 b3 a6 4c bd d7 |..9V..|d~.@..L..| +000001f0 20 96 ed 59 2a 96 db 31 48 ef da 78 97 f0 c3 dd | ..Y*..1H..x....| +00000200 f1 d0 8e 0a ff b2 9c a6 9d 16 c3 ab 40 90 8d ad |............@...| +00000210 f4 5a 9c 6e a6 e2 78 12 c3 1d 68 db a0 4c 17 2a |.Z.n..x...h..L.*| +00000220 1f 78 93 21 f8 51 f6 18 c4 60 f5 a9 d3 49 3b b9 |.x.!.Q...`...I;.| +00000230 a7 82 51 bb e1 35 ca 4a e5 f7 cf 1c 1e b2 b0 50 |..Q..5.J.......P| +00000240 4a 95 e4 18 e5 66 87 c0 06 9d cf 43 f1 dd 27 69 |J....f.....C..'i| +00000250 24 7c dd ad 3c c5 a8 26 5f a2 17 2f da 78 1b 2d |$|..<..&_../.x.-| +00000260 d7 c7 8d 29 ad 44 d3 a4 92 15 7b 12 99 75 90 32 |...).D....{..u.2| +00000270 90 b7 50 69 87 c6 d3 01 6a 8f 7b 93 0e 11 5e d1 |..Pi....j.{...^.| +00000280 f6 1d fe 40 47 3f 2d d0 7e 9d dd dc ec e7 c1 70 |...@G?-.~......p| +00000290 99 1b 68 1d 3c d4 da 5c c9 e0 78 79 e7 65 e6 3d |..h.<..\..xy.e.=| +000002a0 ff 9f 2b 4c 53 d1 85 0e ed 0b c9 d9 27 c9 b3 77 |..+LS.......'..w| +000002b0 82 b6 f2 06 9f 77 ca c3 ac 81 eb 9f bd 53 59 05 |.....w.......SY.| +000002c0 81 83 f5 fe 44 cb 57 66 dc 2c 52 22 28 f1 4a f5 |....D.Wf.,R"(.J.| +000002d0 26 4c a9 0b 71 1a 9a fc 16 73 0b de d8 46 bf 8e |&L..q....s...F..| +000002e0 d1 41 f1 c6 24 55 a3 50 88 60 25 cc 5d 0f 6c e9 |.A..$U.P.`%.].l.| +000002f0 bf 50 2b a2 a8 57 fe 20 c2 db c4 63 d2 2d e0 97 |.P+..W. ...c.-..| +00000300 bd 36 ca af 81 6f 29 fe 8e e0 ad 4f e8 fb 14 06 |.6...o)....O....| +00000310 f0 16 73 b9 38 b7 0a 70 7b ff 25 0b 74 be 8d 12 |..s.8..p{.%.t...| +00000320 a4 c1 e0 46 21 9a 79 87 34 cd 7e 07 96 5a 01 27 |...F!.y.4.~..Z.'| +00000330 0a 3b 9f b7 17 03 03 00 99 be 00 e8 69 81 30 da |.;..........i.0.| +00000340 0b 72 95 28 1a e9 f2 b8 de 3d d1 d8 9b 77 0b 0f |.r.(.....=...w..| +00000350 46 b5 65 af ce 1f 20 77 c4 1e 4b d0 d5 7a 86 c7 |F.e... w..K..z..| +00000360 d5 15 64 47 dd c2 be 24 be 6c c5 c5 d0 72 34 30 |..dG...$.l...r40| +00000370 99 71 9c 5e 27 82 b2 0e da 36 40 4f bd 33 d4 7f |.q.^'....6@O.3..| +00000380 60 26 47 40 16 c1 06 cf 13 09 bc a6 17 73 98 b1 |`&G@.........s..| +00000390 92 4a de 39 4f 1e 0d f5 18 1a f3 0c bf 29 51 f9 |.J.9O........)Q.| +000003a0 16 e9 e8 43 57 57 07 ca a0 03 18 14 aa 5e 9d 9c |...CWW.......^..| +000003b0 76 9b 88 4c 92 3b 18 c4 51 cc 8a 10 87 4c 6a 45 |v..L.;..Q....LjE| +000003c0 68 d9 86 50 97 81 a4 46 61 28 84 d9 0d e5 65 fc |h..P...Fa(....e.| +000003d0 36 c8 17 03 03 00 35 0f 98 b3 f8 67 dc 66 56 f7 |6.....5....g.fV.| +000003e0 b1 cb f4 dd a8 ce 5d be b2 5e 03 13 ef 99 fe cc |......]..^......| +000003f0 cd f8 d5 5e 30 e5 c4 75 85 0e a4 b0 cb bc f5 9a |...^0..u........| +00000400 20 62 64 53 fc 41 7d ce 93 07 53 d7 | bdS.A}...S.| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 99 0c b4 26 5d |..........5...&]| -00000010 94 46 b7 0c f3 33 44 86 c1 eb ba 18 52 16 05 16 |.F...3D.....R...| -00000020 9c 91 52 23 2f c8 fd fb 86 b4 0c d5 af d3 1a b6 |..R#/...........| -00000030 a3 13 f7 c8 ee 7a ef a6 cc 94 8c e6 d5 a6 0b f8 |.....z..........| -00000040 17 03 03 00 17 d8 04 0a bc 4e f1 2a d9 b1 68 ae |.........N.*..h.| -00000050 64 7b 04 b9 e2 14 55 09 3a 46 c4 ce 17 03 03 00 |d{....U.:F......| -00000060 13 6a f4 71 86 ea 9e f6 c9 79 64 0c 1c 5b b6 dd |.j.q.....yd..[..| -00000070 2f c5 23 1f |/.#.| +00000000 14 03 03 00 01 01 17 03 03 00 35 71 a7 b4 b8 9d |..........5q....| +00000010 fe e8 89 34 e1 09 bf dd 09 70 66 5b 68 c5 d0 70 |...4.....pf[h..p| +00000020 b2 29 15 8b bd 12 b0 3b 7e 3f e4 61 bb 38 fb 50 |.).....;~?.a.8.P| +00000030 cb 42 34 f6 fa 3b e1 d6 d2 95 52 da bd 21 99 cf |.B4..;....R..!..| +00000040 17 03 03 00 17 df 38 76 c7 b8 58 9a 88 c3 82 5a |......8v..X....Z| +00000050 66 83 7a 10 5d c8 e8 44 01 3c cf 6b 17 03 03 00 |f.z.]..D.<.k....| +00000060 13 ba 4d a6 32 12 9d 24 8e 05 8f 78 09 b9 55 8e |..M.2..$...x..U.| +00000070 67 c1 0e 66 |g..f| diff --git a/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE b/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE index 89dca857f59..49fbea486ec 100644 --- a/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE +++ b/src/crypto/tls/testdata/Client-TLSv13-X25519-ECDHE @@ -1,5 +1,5 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 f8 01 00 00 f4 03 03 00 00 00 00 00 |................| +00000000 16 03 01 00 fa 01 00 00 f6 03 03 00 00 00 00 00 |................| 00000010 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000020 00 00 00 00 00 00 00 00 00 00 00 20 00 00 00 00 |........... ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| @@ -7,84 +7,84 @@ 00000050 cc a9 c0 2f c0 2b c0 30 c0 2c c0 27 c0 13 c0 23 |.../.+.0.,.'...#| 00000060 c0 09 c0 14 c0 0a 00 9c 00 9d 00 3c 00 2f 00 35 |...........<./.5| 00000070 c0 12 00 0a 00 05 c0 11 c0 07 13 01 13 03 13 02 |................| -00000080 01 00 00 79 00 05 00 05 01 00 00 00 00 00 0a 00 |...y............| -00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 1e 00 |................| -000000a0 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| -000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 ff 01 00 |..........a.b...| -000000c0 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 03 03 |.......+........| -000000d0 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f e5 7d |....3.&.$... /.}| -000000e0 a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 ff f6 |.G.bC.(.._.).0..| -000000f0 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |........_X.;t| +00000080 01 00 00 7b 00 05 00 05 01 00 00 00 00 00 0a 00 |...{............| +00000090 04 00 02 00 1d 00 0b 00 02 01 00 00 0d 00 20 00 |.............. .| +000000a0 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 06 |................| +000000b0 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 ff |..........a.b...| +000000c0 01 00 01 00 00 12 00 00 00 2b 00 09 08 03 04 03 |.........+......| +000000d0 03 03 02 03 01 00 33 00 26 00 24 00 1d 00 20 2f |......3.&.$... /| +000000e0 e5 7d a3 47 cd 62 43 15 28 da ac 5f bb 29 07 30 |.}.G.bC.(.._.).0| +000000f0 ff f6 84 af c4 cf c2 ed 90 99 5f 58 cb 3b 74 |.........._X.;t| >>> Flow 2 (server to client) -00000000 16 03 03 00 7a 02 00 00 76 03 03 d4 80 93 06 d0 |....z...v.......| -00000010 42 e4 37 47 d2 e2 8a 53 9f e3 ce 61 32 d4 8f a8 |B.7G...S...a2...| -00000020 d2 11 d7 30 d5 32 1f 1b 33 56 3e 20 00 00 00 00 |...0.2..3V> ....| +00000000 16 03 03 00 7a 02 00 00 76 03 03 b6 2f 04 f6 51 |....z...v.../..Q| +00000010 f2 22 78 92 1a 4d 33 ff fd 95 27 3a 01 b0 b0 e3 |."x..M3...':....| +00000020 fb 4d 28 11 f2 75 50 a1 b4 44 3f 20 00 00 00 00 |.M(..uP..D? ....| 00000030 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| 00000040 00 00 00 00 00 00 00 00 00 00 00 00 13 01 00 00 |................| -00000050 2e 00 2b 00 02 03 04 00 33 00 24 00 1d 00 20 73 |..+.....3.$... s| -00000060 e3 8a 72 44 f6 1d a7 0f 1e e4 f9 c0 85 f0 0b 67 |..rD...........g| -00000070 6a aa 84 f7 a2 d1 2d e6 c3 20 00 84 4d 8b 59 14 |j.....-.. ..M.Y.| -00000080 03 03 00 01 01 17 03 03 00 17 8b c1 95 1a 8c 50 |...............P| -00000090 76 0e 49 da 11 7c 56 a3 fc b4 02 60 b0 1e eb fe |v.I..|V....`....| -000000a0 b9 17 03 03 02 6d 10 ac b0 06 28 ad 3d 9b b9 b6 |.....m....(.=...| -000000b0 ad 9d 7e ba d3 13 52 e1 3c 5d b4 1b 5d fe 7b 63 |..~...R.<]..].{c| -000000c0 a7 38 30 4b fc 8c 1b cc 38 59 fc 37 dc e2 29 bd |.80K....8Y.7..).| -000000d0 a1 0b da 84 8d 1d 83 f3 79 6d 3a 1d 41 5a 22 6a |........ym:.AZ"j| -000000e0 9f 67 35 f3 28 55 18 14 75 f9 ce b9 3b 46 c0 4e |.g5.(U..u...;F.N| -000000f0 5f fb 15 3f f4 f7 93 e1 f0 9b e9 99 39 b4 c8 f0 |_..?........9...| -00000100 6c 36 23 03 5c 43 0b 27 cd c4 6b e6 62 6a 7e 42 |l6#.\C.'..k.bj~B| -00000110 b1 06 d4 06 25 67 c0 6f c9 93 bc 2a 8c 8a 86 84 |....%g.o...*....| -00000120 3f 66 25 3a 49 25 67 0e e6 f1 fc ce 67 00 8f 9d |?f%:I%g.....g...| -00000130 55 9e 1a 4f fa 9f ec f5 33 68 32 3f ce af a8 d2 |U..O....3h2?....| -00000140 b9 89 9e 71 24 90 22 3f 90 07 03 a0 bf b3 38 63 |...q$."?......8c| -00000150 94 7d 21 a0 45 16 56 c0 50 06 73 e4 ff 35 a2 a1 |.}!.E.V.P.s..5..| -00000160 85 1e ca 5a 1d 8f fa 66 dd 7c 4b d9 f2 88 1e e6 |...Z...f.|K.....| -00000170 db 1a e0 8b e6 50 3b d2 00 22 a7 a5 bd ee 72 7e |.....P;.."....r~| -00000180 28 f0 f8 1b c2 70 fc 3a 1a 7d 7f 9a 32 1a e8 9c |(....p.:.}..2...| -00000190 f0 a3 ae d9 60 af c5 ae 8a dd 20 b1 1f 8a e3 1f |....`..... .....| -000001a0 85 3a e7 06 f7 89 06 30 17 3d 18 f0 fd c6 35 5e |.:.....0.=....5^| -000001b0 51 88 40 59 59 89 84 24 ce 7b 9c 5d 47 49 5a 43 |Q.@YY..$.{.]GIZC| -000001c0 10 f2 f3 01 f8 a0 44 10 d9 7f de c4 c3 24 6b 88 |......D......$k.| -000001d0 27 5b 3a 53 ea fc 2e 3d d4 8f b2 ea f3 d7 74 c4 |'[:S...=......t.| -000001e0 ef 1d 82 6b 61 a4 3c bf 0c 34 ac ba ec 7b 89 a7 |...ka.<..4...{..| -000001f0 8b d0 f3 cb b1 af 7b d0 7e 1b 09 d9 d5 04 a1 bf |......{.~.......| -00000200 e8 ec 31 0a b7 a4 60 43 66 c1 44 00 98 77 f9 ac |..1...`Cf.D..w..| -00000210 42 3d 66 62 f1 24 56 7a ff f8 cb e4 3c c6 e5 e4 |B=fb.$Vz....<...| -00000220 82 88 3d c9 ef e2 7b 72 ef dc c2 df 5d e7 7d d9 |..=...{r....].}.| -00000230 e2 60 30 66 4f dc ae 16 49 c8 99 b0 17 77 6e e4 |.`0fO...I....wn.| -00000240 2d 23 01 05 ae 3c bb 27 44 1c 50 6d 93 eb 9b f3 |-#...<.'D.Pm....| -00000250 bc d0 6e 67 dc 40 aa 16 88 8c 8f fb 37 03 85 57 |..ng.@......7..W| -00000260 46 db 77 59 dc 06 8c 88 c3 00 a9 e4 23 90 d6 34 |F.wY........#..4| -00000270 9f 32 1c 3b 39 eb 6f e4 e8 cf 40 6d 4f d4 98 33 |.2.;9.o...@mO..3| -00000280 26 15 dd fa 19 26 e5 7c 53 06 ec 03 d3 84 4c 45 |&....&.|S.....LE| -00000290 58 94 d2 56 f7 70 3c d8 dc 71 c3 d1 20 a6 67 fd |X..V.p<..q.. .g.| -000002a0 4f 0e b9 56 35 97 e7 c5 19 48 59 eb c2 53 3e fd |O..V5....HY..S>.| -000002b0 e2 5f 69 27 ff 79 18 0d 04 a7 fe 4e 27 ea 10 5a |._i'.y.....N'..Z| -000002c0 a5 c3 45 94 37 fa 85 2c 5f 6f a8 38 1a 06 06 c0 |..E.7..,_o.8....| -000002d0 48 fa d7 e5 54 e6 65 a7 c6 e7 fb ab 7c e0 9a 48 |H...T.e.....|..H| -000002e0 77 f8 5d 9a fc e2 c6 4a aa 5e ed 6b 87 ae 35 a8 |w.]....J.^.k..5.| -000002f0 e3 ae cf 2a 5e 16 1c ec dc 8c 95 f1 55 97 92 72 |...*^.......U..r| -00000300 5b 31 03 48 d6 12 01 62 56 fb 84 ce 69 5a 2e ff |[1.H...bV...iZ..| -00000310 de 3c 34 17 03 03 00 99 80 92 49 7e 15 e7 af 34 |.<4.......I~...4| -00000320 b5 fe c2 e6 87 0a 12 9a b4 a9 05 dc c3 59 90 1a |.............Y..| -00000330 7a 1c ef 5d e6 90 44 08 20 b0 10 3d 20 1d e0 13 |z..]..D. ..= ...| -00000340 a0 51 64 89 5e 01 68 25 3c 79 ce 7c 6d 45 27 b6 |.Qd.^.h%..| +000000a0 42 17 03 03 02 6d 2c 0b 01 0e 4d 53 bf ca b2 73 |B....m,...MS...s| +000000b0 75 6d 28 b8 3d 70 29 a7 5d 61 0b a0 5f ba aa 00 |um(.=p).]a.._...| +000000c0 e0 47 7b 20 9b b0 d0 a8 95 b5 37 a9 42 63 cc cb |.G{ ......7.Bc..| +000000d0 99 0e 30 30 8c 0a 0d d3 80 99 45 ba f2 62 7a 03 |..00......E..bz.| +000000e0 e4 9c 7f d4 85 ac 60 b9 4b 72 31 22 33 d2 70 72 |......`.Kr1"3.pr| +000000f0 be 0b 0d 12 f3 10 56 ca eb 20 87 b4 fe 5b 0f fe |......V.. ...[..| +00000100 f4 95 3f d9 f1 4b 75 03 99 02 a1 16 ff 92 9f 1b |..?..Ku.........| +00000110 e7 25 bc 02 5c 76 72 22 db 31 38 71 65 ea 43 40 |.%..\vr".18qe.C@| +00000120 16 77 51 de 4a ff 5d 13 f1 71 35 e9 3f e5 0e da |.wQ.J.]..q5.?...| +00000130 43 a9 73 9e 87 25 67 d3 85 c6 ad 51 5e 68 f9 a9 |C.s..%g....Q^h..| +00000140 6b d8 bc 4f a9 32 e2 44 e2 06 5c ae 4d a9 e7 09 |k..O.2.D..\.M...| +00000150 ae 6b d0 ea 30 7b 9d fb e0 f2 7e 68 e5 ef 67 31 |.k..0{....~h..g1| +00000160 2c 64 eb 91 35 a5 81 c9 18 50 d4 ff 28 f7 c9 ba |,d..5....P..(...| +00000170 34 8e f4 97 d9 ca 56 9b 23 39 8a 0c af 58 5b 3e |4.....V.#9...X[>| +00000180 46 65 6c b2 90 c2 9d 89 9f 8a 79 1f b6 2a 83 d5 |Fel.......y..*..| +00000190 51 da 46 5a 6f 94 06 60 01 e1 ad 2e 77 bd ea ae |Q.FZo..`....w...| +000001a0 73 43 ec 28 4c 52 bb cb a7 ae a3 c6 7c 7d 40 9f |sC.(LR......|}@.| +000001b0 96 b8 da ba 5a db b6 83 76 a0 80 6e ff ed 07 3e |....Z...v..n...>| +000001c0 e3 0c 0f cd 1f 06 b1 45 e6 80 e5 35 a5 0c 29 7f |.......E...5..).| +000001d0 35 1a ce 36 58 bd 0a 54 6c 63 3f ec 27 dc 18 e5 |5..6X..Tlc?.'...| +000001e0 6f c8 97 53 88 85 ca f3 f7 ab 8c 3e a7 71 6f 91 |o..S.......>.qo.| +000001f0 36 ef 48 be 14 13 a8 f6 35 61 db f0 5f b0 9d c7 |6.H.....5a.._...| +00000200 38 ad b6 d6 3e 02 a7 5c c9 83 2d c2 a3 f4 09 00 |8...>..\..-.....| +00000210 c3 f5 3a f7 f2 21 84 42 ec ce ea b1 51 07 70 f8 |..:..!.B....Q.p.| +00000220 55 52 ee b0 c6 4e cf 8d d4 3d 2e cb d6 87 f8 f1 |UR...N...=......| +00000230 1e 81 a2 0c ab b5 33 44 a6 e0 19 a4 ab 7f 8e 5f |......3D......._| +00000240 0f 52 36 10 23 49 73 f7 81 a7 47 9b 82 30 b5 fc |.R6.#Is...G..0..| +00000250 dc 02 5d df 2f 5b 04 64 c6 78 4b fc 57 2b 97 bf |..]./[.d.xK.W+..| +00000260 14 dd 4d d5 7d 16 59 21 d7 09 4f 79 9b 4a 6e a3 |..M.}.Y!..Oy.Jn.| +00000270 4d 7d b5 b1 54 fc f6 80 af 3a e0 68 93 c9 c6 30 |M}..T....:.h...0| +00000280 f2 f5 52 cd 1c 7a 0f c7 fa 03 e9 ae c1 d5 f6 71 |..R..z.........q| +00000290 4f bb 6c ec 46 b0 2a b6 29 da 71 59 5d 25 42 5d |O.l.F.*.).qY]%B]| +000002a0 47 17 b8 d1 e8 61 69 51 01 df ce c9 e1 a6 2f e6 |G....aiQ....../.| +000002b0 a8 a9 f1 02 60 44 0e 8e 35 91 60 ac 32 13 2e d4 |....`D..5.`.2...| +000002c0 69 f4 b7 88 79 5b 8c bb 04 1a 0e 94 95 bb 7a 08 |i...y[........z.| +000002d0 f4 2e 25 31 d0 11 27 46 e7 9d ef ac 68 d9 a9 d8 |..%1..'F....h...| +000002e0 39 8e cb 3b fa 07 02 a9 72 56 fb 1e ed 7d 0f 4b |9..;....rV...}.K| +000002f0 cb 95 ef 8f e8 06 09 14 3e a0 62 ef 83 28 9c 67 |........>.b..(.g| +00000300 3f bb cc 7c 8b 94 38 1b 37 b3 16 d9 91 c6 9c 9a |?..|..8.7.......| +00000310 b6 ab 79 17 03 03 00 99 66 27 09 b8 57 f5 e0 1b |..y.....f'..W...| +00000320 5f 42 50 ad 3e 46 1e 58 e7 fc fd 9a 1a 0b 98 49 |_BP.>F.X.......I| +00000330 2f e6 de 6c aa 36 cd 25 e6 b0 e7 cc 6d e5 0a 9b |/..l.6.%....m...| +00000340 b6 12 4d 2c cc 36 1c 86 99 3e ca 14 07 17 fe 3f |..M,.6...>.....?| +00000350 20 43 9d 1f 54 38 f0 99 24 4b 6b af b5 0f 72 3f | C..T8..$Kk...r?| +00000360 e5 99 2f 91 dd 42 a3 63 9b 80 6d fb 17 3c be 1f |../..B.c..m..<..| +00000370 bd 12 ff 38 85 e3 b4 79 17 81 09 81 dd dc ae 27 |...8...y.......'| +00000380 2e 2e a7 a8 76 e3 78 b1 85 92 62 2d f7 68 45 2a |....v.x...b-.hE*| +00000390 cf e2 91 02 d9 1c 12 14 46 d7 33 64 1c 70 d1 dd |........F.3d.p..| +000003a0 66 c1 19 3e 29 df 1f 00 68 e0 f3 50 80 33 6d 99 |f..>)...h..P.3m.| +000003b0 89 17 03 03 00 35 4b 1c 4f ed 92 51 08 9b 5a 58 |.....5K.O..Q..ZX| +000003c0 04 3b 3d 7e c1 d9 f3 a2 01 b6 a0 ce 8f 59 eb c3 |.;=~.........Y..| +000003d0 4f c8 97 12 a1 b0 81 4e 7d 49 ab 5a cc c7 18 67 |O......N}I.Z...g| +000003e0 8a 00 79 6f d9 19 d5 9a 62 23 71 |..yo....b#q| >>> Flow 3 (client to server) -00000000 14 03 03 00 01 01 17 03 03 00 35 ab 84 39 6b 2c |..........5..9k,| -00000010 9c a2 a3 31 99 29 dd e6 91 83 7f 6a 2e e4 59 0c |...1.).....j..Y.| -00000020 43 a3 04 ae 93 d0 ef d3 5f 0d 08 c1 05 e7 fd 5f |C......._......_| -00000030 c6 a4 7c ea cf b8 de 24 0a 81 20 77 af 24 52 fd |..|....$.. w.$R.| -00000040 17 03 03 00 17 8e 85 59 8c b7 94 ae 0a 6e 2c d3 |.......Y.....n,.| -00000050 13 a1 4f 7f e7 21 b0 35 cb 16 b9 22 17 03 03 00 |..O..!.5..."....| -00000060 13 41 8b 16 c2 d8 65 4d a0 96 6f 40 ec 6d 79 98 |.A....eM..o@.my.| -00000070 f1 29 37 2c |.)7,| +00000000 14 03 03 00 01 01 17 03 03 00 35 30 2d 51 90 ab |..........50-Q..| +00000010 94 49 1a ac 50 7e e8 2d e0 b5 d7 91 b2 c9 3e af |.I..P~.-......>.| +00000020 a3 ba 44 d1 f2 e9 c4 94 07 5e 24 3d e7 78 92 72 |..D......^$=.x.r| +00000030 66 ee 7c 43 8a 13 aa 78 36 f5 55 8c 35 f4 5d e2 |f.|C...x6.U.5.].| +00000040 17 03 03 00 17 4f 81 1c 2c bd f7 52 90 9b 99 dc |.....O..,..R....| +00000050 1f 24 b2 6d 28 32 ce c3 c9 1f 83 73 17 03 03 00 |.$.m(2.....s....| +00000060 13 ce a7 7c 2a cd 55 52 bc 03 bc 44 37 c6 e0 a1 |...|*.UR...D7...| +00000070 84 60 35 35 |.`55| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven index 94d24d239a9..58241e97eec 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndECDSAGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 3f 88 84 4e f5 |....m...i..?..N.| -00000010 fc b6 4b 67 0f 56 13 99 d1 96 cc 61 a6 92 4f 32 |..Kg.V.....a..O2| -00000020 2b 89 3f 39 1a 19 35 3e 7f 83 e9 00 00 04 00 2f |+.?9..5>......./| +00000000 16 03 01 00 6d 01 00 00 69 03 03 2e 12 ce ae 93 |....m...i.......| +00000010 a4 45 04 1a e9 2a d4 6d 4e 80 d6 b1 39 2c e3 77 |.E...*.mN...9,.w| +00000020 4e f8 0f 8b eb c2 ad 68 dd 60 d9 00 00 04 00 2f |N......h.`...../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| -000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| -000002c0 16 03 03 00 04 0e 00 00 00 |.........| +00000290 3b e9 fa e7 16 03 03 00 29 0d 00 00 25 02 01 40 |;.......)...%..@| +000002a0 00 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 |...........a.b..| +000002c0 00 00 16 03 03 00 04 0e 00 00 00 |...........| >>> Flow 3 (client to server) 00000000 16 03 03 02 0a 0b 00 02 06 00 02 03 00 02 00 30 |...............0| 00000010 82 01 fc 30 82 01 5e 02 09 00 9a 30 84 6c 26 35 |...0..^....0.l&5| @@ -87,40 +87,40 @@ 000001e0 be e8 91 b3 da 1a f5 5d a3 23 f5 26 8b 45 70 8d |.......].#.&.Ep.| 000001f0 65 62 9b 7e 01 99 3d 18 f6 10 9a 38 61 9b 2e 57 |eb.~..=....8a..W| 00000200 e4 fa cc b1 8a ce e2 23 a0 87 f0 e1 67 51 eb 16 |.......#....gQ..| -00000210 03 03 00 86 10 00 00 82 00 80 07 1e 88 ba a1 86 |................| -00000220 89 70 8a 0a 44 61 ea 12 0a 61 5f 71 cd 54 c5 97 |.p..Da...a_q.T..| -00000230 e1 7b 4e 3d 78 5a 86 da 9f cb 30 e3 f2 13 27 b8 |.{N=xZ....0...'.| -00000240 ce 79 8e 73 11 72 91 59 ce b8 68 5b 35 22 3f e0 |.y.s.r.Y..h[5"?.| -00000250 6d 1b 0b cc a5 b9 61 14 ec 8b 66 1b 51 c7 2e 96 |m.....a...f.Q...| -00000260 0c 0a 92 2d 62 d7 a3 ae 28 3e 6b d8 aa 5b 70 a5 |...-b...(>k..[p.| -00000270 e6 5a 4f 28 e1 82 56 87 00 98 71 a6 62 bd 77 fe |.ZO(..V...q.b.w.| -00000280 52 e3 45 29 e8 fb 15 da 7c 12 75 85 b6 d4 85 7e |R.E)....|.u....~| -00000290 26 ac 8c ca 70 4b 2b 77 c6 bc 16 03 03 00 93 0f |&...pK+w........| -000002a0 00 00 8f 04 03 00 8b 30 81 88 02 42 00 99 26 c5 |.......0...B..&.| -000002b0 16 d9 62 9a 54 37 28 55 7f eb 2f 75 79 2f f8 df |..b.T7(U../uy/..| -000002c0 44 d3 58 1e b7 e2 03 39 3b 5e 03 cc 7c 93 ba 08 |D.X....9;^..|...| -000002d0 be 7f 68 89 c9 42 98 d8 64 22 0d d4 1f a3 d3 7f |..h..B..d"......| -000002e0 a0 1b 29 42 c8 4c 95 bb 96 ce 11 20 22 51 02 42 |..)B.L..... "Q.B| -000002f0 01 a0 a8 b2 20 86 8e ec d7 e4 76 2a 4e fc 4e 9a |.... .....v*N.N.| -00000300 3c ba 4a c8 fb cf f6 8e a6 a5 fd 32 ee 8c 7b 91 |<.J........2..{.| -00000310 f9 60 56 27 c5 e4 5d b0 d5 a5 07 6b a5 e5 b9 da |.`V'..]....k....| -00000320 2c 6a 63 e9 ce b6 7b 8d 43 4e d5 b4 b3 93 22 d2 |,jc...{.CN....".| -00000330 c7 76 14 03 03 00 01 01 16 03 03 00 40 d9 61 93 |.v..........@.a.| -00000340 ad 53 60 e6 e1 89 18 1a b3 9d 31 2a 6f dd f2 a2 |.S`.......1*o...| -00000350 38 3f e8 2f 90 e3 43 0b 56 ef 61 46 b4 1c d0 47 |8?./..C.V.aF...G| -00000360 08 63 2d 1c db 25 7e d7 c2 45 a6 c8 66 0b 26 c7 |.c-..%~..E..f.&.| -00000370 84 2d 4f 85 db 3b e9 bf 09 d0 e4 10 6a |.-O..;......j| +00000210 03 03 00 86 10 00 00 82 00 80 0d 47 fa 02 55 0e |...........G..U.| +00000220 68 34 b2 f4 97 16 cc d8 d8 39 23 8a 90 09 3b 70 |h4.......9#...;p| +00000230 76 1a fa 3d 58 86 f5 2d 0f d3 3c 1f 4b 8c 03 08 |v..=X..-..<.K...| +00000240 f4 ad 5f dc 4c 8e 1e 6e 88 db c5 e0 9b ba 84 15 |.._.L..n........| +00000250 db 85 67 04 a1 e7 15 ef 41 9e aa f7 3b b8 f8 54 |..g.....A...;..T| +00000260 3c 72 84 a8 e4 3d 6b 2c 70 03 89 7f 78 79 6e ee |....aU....| +00000320 75 7d 89 ec ac 6e 53 18 2f 7b fd a1 41 f4 c0 ad |u}...nS./{..A...| +00000330 ed 14 03 03 00 01 01 16 03 03 00 40 b7 b5 d4 ba |...........@....| +00000340 10 a3 fe a6 c8 0a 35 fe 7c 07 a7 fe 45 ac ec e2 |......5.|...E...| +00000350 a8 6a d2 46 f0 ce 70 43 fb a5 c4 d5 8f d0 15 e2 |.j.F..pC........| +00000360 a3 ff 43 ee 09 f9 f4 c2 64 60 2b af eb ee 8f af |..C.....d`+.....| +00000370 dc 03 dd 29 cf 0c 6e f4 b4 df 2e f7 |...)..n.....| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 9b c1 72 3c fd |.............r<.| -00000020 88 f4 c3 33 69 e6 b9 b7 4b 53 74 e5 c5 18 64 e1 |...3i...KSt...d.| -00000030 76 c0 8f 40 41 f9 4a 54 d6 9e ac 84 ff f2 fc 09 |v..@A.JT........| -00000040 38 d9 35 1a df 95 6d 72 dc 54 e4 17 03 03 00 40 |8.5...mr.T.....@| +00000010 00 00 00 00 00 00 00 00 00 00 00 76 48 4f 08 4f |...........vHO.O| +00000020 29 70 80 84 a0 09 d5 f8 4a 38 1d f0 8e 39 1c ce |)p......J8...9..| +00000030 e7 9c 4c ba 04 58 60 fb ff 96 c5 34 47 fc 63 0f |..L..X`....4G.c.| +00000040 db 36 ef fd 7e 08 c4 5a 9d 7e 99 17 03 03 00 40 |.6..~..Z.~.....@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 b0 34 5c f1 8f 43 5c 19 3b f4 f0 b1 60 7d 66 7f |.4\..C\.;...`}f.| -00000070 58 90 22 3a c9 83 e7 1f 35 69 d6 d7 5d 59 b9 24 |X.":....5i..]Y.$| -00000080 c1 6e 19 10 ba 43 40 39 2f a2 87 3d ee 39 2e 3f |.n...C@9/..=.9.?| +00000060 da 1d 10 05 da c8 00 0c 1a d9 94 8c a9 d7 40 38 |..............@8| +00000070 9a cc b0 c0 48 e0 e6 0f f9 81 2a d2 5c dd 99 14 |....H.....*.\...| +00000080 c4 48 ad 54 4c c7 02 7e ac c1 d3 cf 55 a7 12 b9 |.H.TL..~....U...| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 06 8d 01 59 ef ba 18 d3 77 10 fc |........Y....w..| -000000b0 ca 7e 1d 20 44 00 cf e5 18 63 43 7d a8 9c d0 0a |.~. D....cC}....| -000000c0 28 83 68 33 b9 |(.h3.| +000000a0 00 00 00 00 00 58 2c 48 53 cd f2 51 f3 20 45 b1 |.....X,HS..Q. E.| +000000b0 60 44 0b 8f 7b 21 dd 15 4b 85 6f 5a 25 83 82 93 |`D..{!..K.oZ%...| +000000c0 c1 95 27 3e b7 |..'>.| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given index 9e395f9bfc0..f12bc0276f5 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndEd25519Given @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 f9 ec 46 50 07 |....m...i....FP.| -00000010 02 4a ee a4 6c 32 4f 10 f4 d5 1e 41 d8 ab 60 75 |.J..l2O....A..`u| -00000020 56 cf 39 0a db 80 ef 06 26 94 f4 00 00 04 00 2f |V.9.....&....../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 d5 77 47 d2 82 |....m...i...wG..| +00000010 17 ca 91 e7 c1 1d 0b c6 92 89 de 03 60 b6 aa 0d |............`...| +00000020 59 3f 24 dc 15 96 06 ba 8a b0 d6 00 00 04 00 2f |Y?$............/| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| -000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| -000002c0 16 03 03 00 04 0e 00 00 00 |.........| +00000290 3b e9 fa e7 16 03 03 00 29 0d 00 00 25 02 01 40 |;.......)...%..@| +000002a0 00 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 |...........a.b..| +000002c0 00 00 16 03 03 00 04 0e 00 00 00 |...........| >>> Flow 3 (client to server) 00000000 16 03 03 01 3c 0b 00 01 38 00 01 35 00 01 32 30 |....<...8..5..20| 00000010 82 01 2e 30 81 e1 a0 03 02 01 02 02 10 17 d1 81 |...0............| @@ -74,36 +74,36 @@ 00000110 8a 4e 34 40 39 d6 b3 10 dc 19 fe a0 22 71 b3 f5 |.N4@9......."q..| 00000120 8f a1 58 0d cd f4 f1 85 24 bf e6 3d 14 df df ed |..X.....$..=....| 00000130 0e e1 17 d8 11 a2 60 d0 8a 37 23 2a c2 46 aa 3a |......`..7#*.F.:| -00000140 08 16 03 03 00 86 10 00 00 82 00 80 90 99 2d cf |..............-.| -00000150 77 18 89 f7 b2 97 8c 1a a1 01 a8 43 ad 49 4c df |w..........C.IL.| -00000160 1f d2 3e 6a 1f f7 10 96 2c 02 1c 11 be 73 ed 30 |..>j....,....s.0| -00000170 d3 a1 86 55 c2 d2 e8 a0 19 88 1b 7c ea dc b9 d8 |...U.......|....| -00000180 ef f7 43 39 b1 89 75 38 0a d0 47 9e 22 02 8b a2 |..C9..u8..G."...| -00000190 c3 e5 0d 74 c5 ca 40 10 7f b5 76 91 95 73 2f d7 |...t..@...v..s/.| -000001a0 93 49 97 b9 93 55 6c 99 fe 8e ce d0 23 d7 d7 a2 |.I...Ul.....#...| -000001b0 89 3a 61 ab 8c 92 38 24 94 61 e3 78 0b fe 73 71 |.:a...8$.a.x..sq| -000001c0 b8 57 c2 d8 bb b8 ea 99 03 e6 8e c1 16 03 03 00 |.W..............| -000001d0 48 0f 00 00 44 08 07 00 40 60 74 c1 c8 d8 0c ea |H...D...@`t.....| -000001e0 e0 9f 1f f9 aa 07 2d a6 93 3c 80 86 f2 4a c8 30 |......-..<...J.0| -000001f0 09 29 f3 ba 2c 28 18 09 a5 a0 35 d2 4a 81 2e f5 |.)..,(....5.J...| -00000200 6b 34 2d 06 28 da 6f f4 cd 82 db 6a ee 55 ed 1d |k4-.(.o....j.U..| -00000210 43 ac b2 49 a5 31 95 eb 07 14 03 03 00 01 01 16 |C..I.1..........| -00000220 03 03 00 40 4c 04 40 f9 e1 63 0e 03 a2 a6 5b d9 |...@L.@..c....[.| -00000230 86 0a 88 81 c7 76 3c 23 55 13 13 20 71 55 12 ba |.....v<#U.. qU..| -00000240 db ba 4a 98 7a 81 de 47 d0 a1 02 17 0e 5e 26 85 |..J.z..G.....^&.| -00000250 1b 37 1c b5 98 2d a0 9c fc ef ce 89 7c 33 3c 57 |.7...-......|3...{._...| +000001f0 c9 a1 fe ae 46 3f f3 4d c7 01 c7 4c 0d 87 2d 9b |....F?.M...L..-.| +00000200 15 75 4e 32 11 9e 43 6d 54 23 17 fe b8 d9 9f 72 |.uN2..CmT#.....r| +00000210 00 42 89 98 70 49 0a 40 08 14 03 03 00 01 01 16 |.B..pI.@........| +00000220 03 03 00 40 90 d6 7f dc 40 3e 85 0a 70 5e 4a 65 |...@....@>..p^Je| +00000230 bf b4 f1 19 5e 79 24 fc 97 63 51 a3 42 44 17 01 |....^y$..cQ.BD..| +00000240 e0 73 15 26 ad 35 d1 03 42 63 ba 16 a0 70 49 ef |.s.&.5..Bc...pI.| +00000250 7d ce 34 a9 28 10 10 55 32 6d 56 d2 46 81 9b 40 |}.4.(..U2mV.F..@| +00000260 4f 9a 99 ab |O...| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 90 c3 34 73 3f |.............4s?| -00000020 f7 14 d4 7b f7 5b 8a b2 79 f1 66 f5 3f be 89 c9 |...{.[..y.f.?...| -00000030 20 9d 19 4e 39 3e 17 84 e0 08 c8 1d 2f df a9 66 | ..N9>....../..f| -00000040 d6 de c4 21 e3 88 79 d8 dc 32 7c 17 03 03 00 40 |...!..y..2|....@| +00000010 00 00 00 00 00 00 00 00 00 00 00 f6 d7 a7 9d 29 |...............)| +00000020 99 20 f9 5a 0c 6e 33 f1 4e 5b e6 e8 56 ea 28 ca |. .Z.n3.N[..V.(.| +00000030 1b a8 b3 0a 0f ec e5 be c6 fe 94 09 f8 05 0f 18 |................| +00000040 32 4b d5 46 32 01 59 64 3f b7 e4 17 03 03 00 40 |2K.F2.Yd?......@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 bc cb 4a 84 8f 4d 5d 25 30 91 0d da 24 31 51 bb |..J..M]%0...$1Q.| -00000070 a2 39 33 5f b5 b7 08 20 14 47 93 a8 63 72 24 8f |.93_... .G..cr$.| -00000080 85 6e 35 e4 06 c7 e6 ac d5 c5 ba 1e 97 cb e6 58 |.n5............X| +00000060 9a 84 8a 6e f8 25 2c 1b 9f 8f 6d f3 ec 7e 81 7a |...n.%,...m..~.z| +00000070 da 10 3d bd 86 ae 3c 9f 5c f6 71 24 33 4a 30 54 |..=...<.\.q$3J0T| +00000080 35 fc 4b 6f 0e 6a 8a 95 6c cd b0 cb 8c 7e 60 06 |5.Ko.j..l....~`.| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 c2 59 dc 68 a9 ce df 90 78 15 d1 |......Y.h....x..| -000000b0 88 42 19 57 5c 9f 1a f6 d6 7e 30 6b 33 d1 8d e0 |.B.W\....~0k3...| -000000c0 35 3c d5 19 72 |5<..r| +000000a0 00 00 00 00 00 fd 8e a6 2a 05 f9 71 12 07 ac d7 |........*..q....| +000000b0 0e 13 30 bc e5 75 e4 79 df 81 5c 57 8e 3c e5 58 |..0..u.y..\W.<.X| +000000c0 21 01 38 43 87 |!.8C.| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven index e1d87c663a3..951c40afbe5 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 c4 59 29 ad af |....m...i...Y)..| -00000010 59 a9 2b 1d f5 22 34 93 19 f8 64 04 dc 77 98 3d |Y.+.."4...d..w.=| -00000020 a0 f6 e0 5b b9 57 6d 70 5d 1e 33 00 00 04 00 2f |...[.Wmp].3..../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 a1 c3 e0 96 ea |....m...i.......| +00000010 eb ad 43 f4 d4 30 bd a0 d0 93 c8 cb b1 6c e5 22 |..C..0.......l."| +00000020 0b 1f c7 e2 5e cd e1 24 4b 5a 13 00 00 04 00 2f |....^..$KZ...../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| -000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| -000002c0 16 03 03 00 04 0e 00 00 00 |.........| +00000290 3b e9 fa e7 16 03 03 00 29 0d 00 00 25 02 01 40 |;.......)...%..@| +000002a0 00 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 |...........a.b..| +000002c0 00 00 16 03 03 00 04 0e 00 00 00 |...........| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -86,40 +86,40 @@ 000001d0 ac 11 b1 28 56 be 1d cd 61 62 84 09 bf d6 80 c6 |...(V...ab......| 000001e0 45 8d 82 2c b4 d8 83 9b db c9 22 b7 2a 12 11 7b |E..,......".*..{| 000001f0 fa 02 3b c1 c9 ff ea c9 9d a8 49 d3 95 d7 d5 0e |..;.......I.....| -00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 88 c5 d8 |.5..............| -00000210 1e 5f 9a 1e f5 2c 2f c8 08 41 7c 9a e6 5c 76 eb |._...,/..A|..\v.| -00000220 e1 63 0d aa 77 17 12 44 b7 15 45 d8 6b 63 bc fa |.c..w..D..E.kc..| -00000230 b1 4c 5d a7 a9 18 ef d4 65 f5 96 f3 dc 8f 97 78 |.L].....e......x| -00000240 14 fb 2e e8 f9 31 9a 37 b4 19 54 61 f4 1a 7f cf |.....1.7..Ta....| -00000250 f2 9d 25 f1 a1 4d 1d 48 fa 7b 3c 7a 95 72 0c 4a |..%..M.H.{>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 2e 6d 80 cc a7 |............m...| -00000020 c5 44 4d 89 f3 c0 f7 e1 20 f3 d9 4a 65 0c fb b1 |.DM..... ..Je...| -00000030 90 aa b8 a5 94 28 d7 f6 2c d6 a7 03 4e 94 6b d3 |.....(..,...N.k.| -00000040 5b ef a1 60 98 b1 6f f6 eb 9e 83 17 03 03 00 40 |[..`..o........@| +00000010 00 00 00 00 00 00 00 00 00 00 00 e4 6c 6c 34 ee |............ll4.| +00000020 24 99 16 4f 05 87 11 e0 fa 62 ef dd 03 9d 01 58 |$..O.....b.....X| +00000030 f1 b4 c8 8f f1 ff ce 5a 43 59 c2 6c bb 62 41 b9 |.......ZCY.l.bA.| +00000040 c8 95 2b 13 39 fa 97 9c 2e af d6 17 03 03 00 40 |..+.9..........@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 44 f2 00 13 79 b8 5f 5a ed c3 a3 ec 96 19 74 14 |D...y._Z......t.| -00000070 f6 c5 87 79 dd dd ad 0e 24 d6 ba d4 ec 16 d6 1a |...y....$.......| -00000080 6b 80 c6 fd 94 dd 3b e1 fe ab fd 2d e9 97 2d 8c |k.....;....-..-.| +00000060 ce 79 bc 52 f1 f8 c9 20 10 3b c2 fd f4 69 cf 13 |.y.R... .;...i..| +00000070 b6 80 87 11 31 e9 0b 66 6b 63 0e 61 0e 35 9d de |....1..fkc.a.5..| +00000080 43 bd 40 94 55 7e 67 41 db de 42 78 cd 69 68 45 |C.@.U~gA..Bx.ihE| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 3e 78 a0 7b f3 85 78 6d 4b 79 66 |.....>x.{..xmKyf| -000000b0 a3 aa 20 81 db f4 38 22 8c c6 56 b6 91 d2 8c 98 |.. ...8"..V.....| -000000c0 61 15 1e 99 98 |a....| +000000a0 00 00 00 00 00 f2 19 81 09 54 d5 80 ac e4 b4 eb |.........T......| +000000b0 d6 10 20 7b f9 44 4a 72 ed 2f 4a c5 55 26 f2 46 |.. {.DJr./J.U&.F| +000000c0 e4 99 3a 68 2a |..:h*| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given index 60d51a53285..b2bb3c23034 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedAndPKCS1v15Given @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 73 6a 49 50 bf |....m...i..sjIP.| -00000010 e8 6c 66 55 9d 37 89 29 7d 44 e8 69 f9 28 b4 40 |.lfU.7.)}D.i.(.@| -00000020 f6 69 47 11 df fd 94 c2 ef ba 3e 00 00 04 00 2f |.iG.......>..../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 34 6a c0 48 ba |....m...i..4j.H.| +00000010 77 0c fd 11 72 9d 91 e2 fe c5 a1 0f e2 a8 a7 62 |w...r..........b| +00000020 ae 68 f8 1b 7f 8d 59 ec d1 27 0d 00 00 04 00 2f |.h....Y..'...../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,10 +49,10 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| -000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| -000002c0 16 03 03 00 04 0e 00 00 00 |.........| +00000290 3b e9 fa e7 16 03 03 00 29 0d 00 00 25 02 01 40 |;.......)...%..@| +000002a0 00 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 |...........a.b..| +000002c0 00 00 16 03 03 00 04 0e 00 00 00 |...........| >>> Flow 3 (client to server) 00000000 16 03 03 01 fd 0b 00 01 f9 00 01 f6 00 01 f3 30 |...............0| 00000010 82 01 ef 30 82 01 58 a0 03 02 01 02 02 10 5c 19 |...0..X.......\.| @@ -86,40 +86,40 @@ 000001d0 ac 11 b1 28 56 be 1d cd 61 62 84 09 bf d6 80 c6 |...(V...ab......| 000001e0 45 8d 82 2c b4 d8 83 9b db c9 22 b7 2a 12 11 7b |E..,......".*..{| 000001f0 fa 02 3b c1 c9 ff ea c9 9d a8 49 d3 95 d7 d5 0e |..;.......I.....| -00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 8f cd 30 |.5.............0| -00000210 d2 33 da aa 09 c9 05 e6 30 5e cf 63 55 68 65 6f |.3......0^.cUheo| -00000220 ee 98 a9 64 74 fd bb 57 cc 01 6a 65 ce 56 cc 8b |...dt..W..je.V..| -00000230 28 6c ff 2f ae ec f4 cd 42 dc fc ee df b4 7a 08 |(l./....B.....z.| -00000240 84 ab 3d 54 74 80 f0 1d 97 ca 1f a6 9b d1 38 2d |..=Tt.........8-| -00000250 86 24 19 3d da 6e 73 20 7e 79 59 1f ca d5 31 49 |.$.=.ns ~yY...1I| -00000260 cf dc e7 bf 04 77 0c 70 a4 db 99 cc 89 00 34 bf |.....w.p......4.| -00000270 66 25 6d f0 f7 f9 05 6b 8d 95 50 fd fe 87 64 34 |f%m....k..P...d4| -00000280 47 9b 0a 41 74 2a aa f1 d7 21 3b b4 df 16 03 03 |G..At*...!;.....| -00000290 00 88 0f 00 00 84 04 01 00 80 52 76 b8 e3 82 84 |..........Rv....| -000002a0 cd c6 dd 4c 80 d0 1b 44 1f 6f 78 a1 11 8f 03 38 |...L...D.ox....8| -000002b0 a8 01 b5 0f b3 f5 ad 80 a4 87 c9 29 dd a8 40 07 |...........)..@.| -000002c0 bb 24 ac d6 00 e0 03 8f 90 7c 99 a4 2d 42 26 44 |.$.......|..-B&D| -000002d0 a3 ac 02 03 7a fa cd ee 00 3c c1 c0 21 d5 48 70 |....z....<..!.Hp| -000002e0 43 c3 9e 86 16 f4 ec f0 03 b2 9d 61 04 03 61 8d |C..........a..a.| -000002f0 dc d9 be 74 1c f4 09 f6 60 13 b6 23 d2 7a 45 8d |...t....`..#.zE.| -00000300 55 98 8b e7 d7 97 97 ca 03 d1 dc 0d 48 52 f3 bd |U...........HR..| -00000310 24 de 99 65 96 6b b2 06 4a 75 14 03 03 00 01 01 |$..e.k..Ju......| -00000320 16 03 03 00 40 02 ed c6 de fa 31 22 94 69 ad 66 |....@.....1".i.f| -00000330 b3 bb 00 79 29 8a 77 7f 63 3a b5 d2 e8 c0 b2 df |...y).w.c:......| -00000340 37 21 d4 ae ce 48 61 2f fc 7b e0 d1 ed f8 01 a0 |7!...Ha/.{......| -00000350 ed fa 83 aa 03 1a 03 ac 9c eb 17 a1 17 92 4b da |..............K.| -00000360 f5 65 65 5d 60 |.ee]`| +00000200 e5 35 16 03 03 00 86 10 00 00 82 00 80 5f 05 c8 |.5..........._..| +00000210 7e 71 5b fa 77 dd d9 2c 07 4b e8 07 14 c2 0e 63 |~q[.w..,.K.....c| +00000220 91 1e 98 97 18 c2 94 b2 74 14 49 3d 42 1f c5 54 |........t.I=B..T| +00000230 7d ef 29 43 0a d1 86 fe 1e 6c c7 69 81 d8 55 0e |}.)C.....l.i..U.| +00000240 e0 e8 20 b8 7e 57 12 cc 23 98 f3 fb c7 f1 91 da |.. .~W..#.......| +00000250 04 82 46 41 36 f6 58 5b 25 5a f6 8e aa 4c 66 59 |..FA6.X[%Z...LfY| +00000260 ea 62 f9 c0 3e ed a8 6d 5f ce a1 6c 65 c5 05 cb |.b..>..m_..le...| +00000270 e8 8f f2 f9 93 29 b8 ff 7a e7 ed 23 1a d1 38 2b |.....)..z..#..8+| +00000280 c9 7a af f0 a2 33 14 fa e0 74 1b c3 07 16 03 03 |.z...3...t......| +00000290 00 88 0f 00 00 84 04 01 00 80 22 4c ae 8a d2 11 |.........."L....| +000002a0 e6 a8 9c 4e e5 cc 7a 58 83 80 ce cc 1a be d3 e2 |...N..zX........| +000002b0 67 04 c8 30 f9 85 5a 75 9b c0 d7 0b e8 86 7c e2 |g..0..Zu......|.| +000002c0 1e 44 ab da 34 41 f4 27 86 ed fc 2a d0 ad a6 b9 |.D..4A.'...*....| +000002d0 f9 b0 1f a6 37 d1 16 51 64 59 84 a1 a8 de 54 78 |....7..QdY....Tx| +000002e0 71 94 a2 61 e7 ac 9d 1d d3 bb ba fd 97 a1 23 0e |q..a..........#.| +000002f0 69 b5 f3 09 96 3f f6 fb c3 bc 2e 72 e3 b5 d2 45 |i....?.....r...E| +00000300 af 03 8c 49 95 10 b6 bd 62 3d 31 56 39 d9 0f 83 |...I....b=1V9...| +00000310 83 36 1d 29 d0 0d fb 6f 36 2e 14 03 03 00 01 01 |.6.)...o6.......| +00000320 16 03 03 00 40 6e 0c 83 37 81 e4 b0 3d 12 f7 ca |....@n..7...=...| +00000330 19 7f 1c f0 29 b7 06 7a fe 89 70 13 2a 6d 46 54 |....)..z..p.*mFT| +00000340 d9 b7 a2 ef ea f9 a4 d5 27 97 f2 43 09 3a a9 22 |........'..C.:."| +00000350 63 a5 16 67 62 ef 86 41 20 21 f9 1e 0d 5e be 05 |c..gb..A !...^..| +00000360 76 f6 06 74 ee |v..t.| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 70 aa 2d 75 3a |...........p.-u:| -00000020 6d eb 5a 5b 35 66 2a b1 e6 21 d7 0b 8e 94 7b a5 |m.Z[5f*..!....{.| -00000030 d7 c6 7c 09 6f ba db c8 a6 e1 30 c8 79 c0 33 98 |..|.o.....0.y.3.| -00000040 9a 07 fe 4b cd 26 4e 7a 2f 0a b7 17 03 03 00 40 |...K.&Nz/......@| +00000010 00 00 00 00 00 00 00 00 00 00 00 2e f4 f9 ea e1 |................| +00000020 36 2c 86 67 52 93 62 99 b2 aa a1 df 04 10 2d 3a |6,.gR.b.......-:| +00000030 77 88 b4 41 0d 8d 5f e6 0d af 66 64 20 e9 a3 e4 |w..A.._...fd ...| +00000040 a5 6c c0 1b 6f 42 8c de ec e9 f0 17 03 03 00 40 |.l..oB.........@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 c9 94 00 c4 49 66 82 4c 2c e0 ef ef 34 35 cb 84 |....If.L,...45..| -00000070 62 42 ca 4a 4c a7 6b c3 54 ae 9a 5b 31 db 50 64 |bB.JL.k.T..[1.Pd| -00000080 0a 9e 89 99 b8 b6 cb 65 5b 2c fa 9f d3 92 c7 80 |.......e[,......| +00000060 f5 c8 90 ba 51 60 eb 57 3b fd 8e 57 86 e6 97 86 |....Q`.W;..W....| +00000070 c6 8b 91 de e9 19 f2 1d cc 4e 0d ff c0 31 25 bd |.........N...1%.| +00000080 f3 e6 0b c0 d9 ea 32 7d a1 a3 a4 63 af a0 8d ce |......2}...c....| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 03 48 1d 2b 38 ba 47 c9 fb ff d0 |......H.+8.G....| -000000b0 d7 77 a0 e5 88 07 28 19 c9 dd 95 9e 6a c3 22 70 |.w....(.....j."p| -000000c0 e3 bc 0c f9 80 |.....| +000000a0 00 00 00 00 00 5f cf 25 0f 97 a4 db 27 d3 ff c6 |....._.%....'...| +000000b0 29 47 ff bb 80 73 d5 43 f7 be 45 38 91 11 dd 0e |)G...s.C..E8....| +000000c0 f3 40 9d b7 c7 |.@...| diff --git a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven index 048a1c22744..c98cbfb1a10 100644 --- a/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven +++ b/src/crypto/tls/testdata/Server-TLSv12-ClientAuthRequestedNotGiven @@ -1,7 +1,7 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 6d 01 00 00 69 03 03 be 0c ca 74 09 |....m...i.....t.| -00000010 bb 46 d6 8c 81 10 b9 69 76 a5 54 eb 32 a1 fa 56 |.F.....iv.T.2..V| -00000020 f2 cb d4 1a c9 1d 39 de 8c 5d f9 00 00 04 00 2f |......9..]...../| +00000000 16 03 01 00 6d 01 00 00 69 03 03 7f 8e a8 8f 5d |....m...i......]| +00000010 13 84 9e ad a7 3b a5 6c b0 d1 d3 33 71 38 6f e8 |.....;.l...3q8o.| +00000020 e9 19 a6 a1 23 40 cb 17 61 93 6b 00 00 04 00 2f |....#@..a.k..../| 00000030 00 ff 01 00 00 3c 00 16 00 00 00 17 00 00 00 0d |.....<..........| 00000040 00 30 00 2e 04 03 05 03 06 03 08 07 08 08 08 09 |.0..............| 00000050 08 0a 08 0b 08 04 08 05 08 06 04 01 05 01 06 01 |................| @@ -49,37 +49,37 @@ 00000260 f1 6c 04 ed 73 bb b3 43 77 8d 0c 1c f1 0f a1 d8 |.l..s..Cw.......| 00000270 40 83 61 c9 4c 72 2b 9d ae db 46 06 06 4d f4 c1 |@.a.Lr+...F..M..| 00000280 b3 3e c0 d1 bd 42 d4 db fe 3d 13 60 84 5c 21 d3 |.>...B...=.`.\!.| -00000290 3b e9 fa e7 16 03 03 00 27 0d 00 00 23 02 01 40 |;.......'...#..@| -000002a0 00 1c 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| -000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 00 00 |...........a.b..| -000002c0 16 03 03 00 04 0e 00 00 00 |.........| +00000290 3b e9 fa e7 16 03 03 00 29 0d 00 00 25 02 01 40 |;.......)...%..@| +000002a0 00 1e 08 04 04 03 08 07 08 05 08 06 04 01 05 01 |................| +000002b0 06 01 05 03 06 03 02 01 02 03 fe 61 fe 62 08 08 |...........a.b..| +000002c0 00 00 16 03 03 00 04 0e 00 00 00 |...........| >>> Flow 3 (client to server) 00000000 16 03 03 00 07 0b 00 00 03 00 00 00 16 03 03 00 |................| -00000010 86 10 00 00 82 00 80 d6 bc d2 48 ab f5 04 c3 fc |..........H.....| -00000020 84 c6 67 25 f7 17 58 ac 52 7a 63 2b 99 07 34 05 |..g%..X.Rzc+..4.| -00000030 5f 55 bc fb 69 7c bc d9 32 a6 aa 13 50 f3 b6 57 |_U..i|..2...P..W| -00000040 08 28 91 cd 12 14 29 22 d9 1b 12 45 36 d6 0f 17 |.(....)"...E6...| -00000050 5f fb 78 fa 2c f9 65 c0 95 ce d3 29 43 69 59 50 |_.x.,.e....)CiYP| -00000060 53 a4 19 c3 27 b4 d3 c0 6d 81 10 37 11 af 51 78 |S...'...m..7..Qx| -00000070 1a 37 22 a5 79 60 29 26 83 1a e8 b7 79 6f 99 38 |.7".y`)&....yo.8| -00000080 eb a4 cf 6c 71 a4 c5 f7 04 f8 c0 8c 89 66 32 2d |...lq........f2-| -00000090 a5 fe 1f f2 ca 81 6e 14 03 03 00 01 01 16 03 03 |......n.........| -000000a0 00 40 55 b0 4c fe 2a 87 0e 59 10 0a 55 20 84 78 |.@U.L.*..Y..U .x| -000000b0 12 1d 16 9c a1 25 0b 09 02 41 06 b7 e2 87 90 6a |.....%...A.....j| -000000c0 fb 56 83 9a eb 57 8c f8 39 81 29 fc 02 c9 49 5b |.V...W..9.)...I[| -000000d0 16 88 60 8d c0 88 c1 40 d9 01 57 d2 8b fc f4 26 |..`....@..W....&| -000000e0 22 16 |".| +00000010 86 10 00 00 82 00 80 22 89 ca 93 8f 3b 25 04 29 |......."....;%.)| +00000020 3d 70 25 23 3e 46 d4 84 49 73 00 c7 e5 0c d9 8a |=p%#>F..Is......| +00000030 88 61 7a 1d c9 0e 19 b0 65 f5 ab ba 58 c1 e2 41 |.az.....e...X..A| +00000040 19 2a 60 3a 6f 7c cd 7d dc b9 9e fd 55 38 b7 b3 |.*`:o|.}....U8..| +00000050 ad 4a 7c df de 80 fc 9d 1f 38 00 a4 62 7d f1 22 |.J|......8..b}."| +00000060 08 51 b8 f6 88 f2 06 2f ce 8c 3f 78 d0 a7 71 31 |.Q...../..?x..q1| +00000070 85 83 3f 26 d8 41 20 e9 6d 2f 95 2a 5d f4 10 a9 |..?&.A .m/.*]...| +00000080 e0 6a b9 db 4e 6e 1c 19 fe 79 9e 40 55 b5 28 49 |.j..Nn...y.@U.(I| +00000090 7b 0b bf e5 a7 5c 27 14 03 03 00 01 01 16 03 03 |{....\'.........| +000000a0 00 40 e7 9d ea 73 04 72 5f d4 da c6 58 a4 0e b6 |.@...s.r_...X...| +000000b0 33 48 93 ff 0e e4 99 29 a6 23 54 93 ae 65 64 a1 |3H.....).#T..ed.| +000000c0 f2 62 31 c4 bb f0 30 fb 5c e3 30 3a 4e 0a f0 7d |.b1...0.\.0:N..}| +000000d0 09 ad 98 ea 26 17 cf a6 ee 6d c1 73 02 08 09 23 |....&....m.s...#| +000000e0 22 48 |"H| >>> Flow 4 (server to client) 00000000 14 03 03 00 01 01 16 03 03 00 40 00 00 00 00 00 |..........@.....| -00000010 00 00 00 00 00 00 00 00 00 00 00 08 6b 92 ab e9 |............k...| -00000020 31 67 fc 08 84 71 a2 44 38 4b 5c b5 3e ed d4 3c |1g...q.D8K\.>..<| -00000030 62 3c ef cf 40 5b ed 5d 56 3b 5c c6 5d 54 e4 b4 |b<..@[.]V;\.]T..| -00000040 1f 66 62 30 a1 84 75 5b a1 52 00 17 03 03 00 40 |.fb0..u[.R.....@| +00000010 00 00 00 00 00 00 00 00 00 00 00 13 a3 51 fb 70 |.............Q.p| +00000020 88 49 20 51 c7 e2 19 43 61 be 16 2f 51 98 1b 99 |.I Q...Ca../Q...| +00000030 dc 1d 99 f4 ea 76 a3 59 14 18 f2 c6 c0 19 42 61 |.....v.Y......Ba| +00000040 9d e6 d8 63 23 f0 d9 56 ad 33 2c 17 03 03 00 40 |...c#..V.3,....@| 00000050 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |................| -00000060 bb 68 c4 03 2d 43 eb 74 fb e9 8c 75 13 7c 7a 5f |.h..-C.t...u.|z_| -00000070 aa fd 34 53 bc d3 f2 0b 08 be d0 d9 08 c5 f8 1c |..4S............| -00000080 36 00 92 e4 52 ee 88 e4 5c e7 5d 81 d1 81 01 15 |6...R...\.].....| +00000060 e9 03 08 52 f3 04 44 89 0e ac 29 d7 74 f5 7d 88 |...R..D...).t.}.| +00000070 c7 ce b1 44 d9 05 da 62 f4 4b 3d aa 27 73 d1 c1 |...D...b.K=.'s..| +00000080 3f f5 68 c1 b0 83 2a 47 0f d8 3b 31 ba d2 88 7b |?.h...*G..;1...{| 00000090 15 03 03 00 30 00 00 00 00 00 00 00 00 00 00 00 |....0...........| -000000a0 00 00 00 00 00 6b 4f 46 61 e9 80 fd 27 79 aa 98 |.....kOFa...'y..| -000000b0 14 c5 8d 13 7b 3a f4 10 2c 7d 65 5f 31 ea 90 3a |....{:..,}e_1..:| -000000c0 e6 9e 15 bf fa |.....| +000000a0 00 00 00 00 00 05 7e ee 78 66 d4 22 ff 96 36 18 |......~.xf."..6.| +000000b0 9b 0b c5 44 d0 ac 03 07 b6 03 48 13 ad ad 75 a2 |...D......H...u.| +000000c0 b5 78 e0 2f 05 |.x./.| diff --git a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven index 012d76ab6bd..36dd1561a5b 100644 --- a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndECDSAGiven @@ -1,180 +1,180 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ca 01 00 00 c6 03 03 01 ee 2b 19 bf |.............+..| -00000010 da 34 c0 e1 d6 4f b6 32 8b 80 a8 af aa 54 fa 34 |.4...O.2.....T.4| -00000020 57 e8 45 b4 5f ed a2 f1 a0 a5 05 20 1c 53 37 37 |W.E._...... .S77| -00000030 36 b6 90 df ae af cf be 1c fb 36 39 2a 54 bd a9 |6.........69*T..| -00000040 47 76 12 35 00 90 12 10 5c f0 93 0c 00 04 13 01 |Gv.5....\.......| +00000000 16 03 01 00 ca 01 00 00 c6 03 03 f2 a9 8e e9 54 |...............T| +00000010 7a 4d b8 ba 3e 99 bd 78 66 65 3a 56 03 55 d1 5f |zM..>..xfe:V.U._| +00000020 2b c7 b8 4d 8a a3 e4 f0 a7 60 99 20 f3 2b 31 a5 |+..M.....`. .+1.| +00000030 b0 c2 ac d1 9f 43 0f 0b 86 6f d7 bd 2c ae 83 96 |.....C...o..,...| +00000040 27 c0 e4 6f 1b e8 40 dd 43 b5 b6 61 00 04 13 01 |'..o..@.C..a....| 00000050 00 ff 01 00 00 79 00 0b 00 04 03 00 01 02 00 0a |.....y..........| 00000060 00 0c 00 0a 00 1d 00 17 00 1e 00 19 00 18 00 16 |................| 00000070 00 00 00 17 00 00 00 0d 00 1e 00 1c 04 03 05 03 |................| 00000080 06 03 08 07 08 08 08 09 08 0a 08 0b 08 04 08 05 |................| 00000090 08 06 04 01 05 01 06 01 00 2b 00 03 02 03 04 00 |.........+......| -000000a0 2d 00 02 01 01 00 33 00 26 00 24 00 1d 00 20 ca |-.....3.&.$... .| -000000b0 67 8d 39 48 83 ce 40 02 a8 49 f0 4c 80 62 f2 35 |g.9H..@..I.L.b.5| -000000c0 c5 4d ac a4 34 d3 d1 f8 c3 23 25 d2 b7 84 2b |.M..4....#%...+| +000000a0 2d 00 02 01 01 00 33 00 26 00 24 00 1d 00 20 9e |-.....3.&.$... .| +000000b0 48 4f a6 a6 3d 02 36 10 50 20 8f 1f 04 23 c2 b3 |HO..=.6.P ...#..| +000000c0 3b cf 7f 8e a9 5c d2 3b 57 70 72 a3 48 dc 60 |;....\.;Wpr.H.`| >>> Flow 2 (server to client) 00000000 16 03 03 00 7a 02 00 00 76 03 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a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedAndGiven @@ -1,178 +1,178 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ca 01 00 00 c6 03 03 b0 62 88 77 4a |............b.wJ| -00000010 1c 99 6d 02 21 0c e8 11 fd ed 7a 05 bb 23 09 37 |..m.!.....z..#.7| -00000020 e0 25 69 5a e5 4f 64 01 28 bb bd 20 0a 11 29 cf |.%iZ.Od.(.. ..).| -00000030 dd 59 f1 34 d0 a1 74 c8 7d 51 f9 83 b5 d2 8d c7 |.Y.4..t.}Q......| -00000040 3b 1d e4 29 04 99 ea 82 4b 22 bf 65 00 04 13 01 |;..)....K".e....| +00000000 16 03 01 00 ca 01 00 00 c6 03 03 22 61 05 f6 33 |..........."a..3| +00000010 9e 22 f6 3a 2e a8 ef 4e bd 10 7a 95 9f 10 02 e5 |.".:...N..z.....| +00000020 8d 59 f3 1e b1 c9 f4 3d b6 dc 7f 20 6f cb 76 af |.Y.....=... o.v.| +00000030 99 99 32 43 54 64 c5 b1 55 d2 db 0f 6c 1d 35 e0 |..2CTd..U...l.5.| +00000040 78 e3 87 65 41 ae f4 8d 43 a5 57 a2 00 04 13 01 |x..eA...C.W.....| 00000050 00 ff 01 00 00 79 00 0b 00 04 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+00000270 68 0b 1b f9 be 18 49 6a 3f ca 9b 2d ef b9 8f a9 |h.....Ij?..-....| +00000280 17 69 9f 23 04 e3 ac 10 e8 96 c3 52 00 14 68 67 |.i.#.......R..hg| +00000290 17 03 03 00 1e fd b1 7f 65 cf 8e 81 4a aa 4d 3f |........e...J.M?| +000002a0 d1 6c 7c 57 45 c5 af 4f 21 ed ff ad bf 25 ec 78 |.l|WE..O!....%.x| +000002b0 d0 7d 10 17 03 03 00 13 9e aa fc 24 58 be ec f6 |.}.........$X...| +000002c0 62 ba 19 e9 7a 3e 66 bf bb 7e 07 |b...z>f..~.| diff --git a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven index 9b8d39e0925..8acf69b2c77 100644 --- a/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven +++ b/src/crypto/tls/testdata/Server-TLSv13-ClientAuthRequestedNotGiven @@ -1,105 +1,105 @@ >>> Flow 1 (client to server) -00000000 16 03 01 00 ca 01 00 00 c6 03 03 cc 23 0a af 28 |............#..(| -00000010 c1 f2 13 3e 1c 47 9a 76 be 09 a1 16 63 09 b5 4a |...>.G.v....c..J| -00000020 af 44 96 bc 83 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Date: Wed, 21 Apr 2021 21:22:20 +0100 Subject: [PATCH 33/69] Add a field to check for client auth --- src/crypto/tls/common.go | 3 +++ src/crypto/tls/conn.go | 3 +++ src/crypto/tls/handshake_client_kemtls.go | 5 +++++ src/crypto/tls/handshake_client_tls13.go | 1 + src/crypto/tls/handshake_server_kemtls.go | 5 +++++ src/crypto/tls/handshake_server_tls13.go | 2 ++ 6 files changed, 19 insertions(+) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 9489a03af38..23e320d0f25 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -347,6 +347,9 @@ type ConnectionState struct { // has been used. VerifiedDC bool + // DidClientAuthentiation states that the connection used client authentication. + DidClientAuthentication bool + // DidKEMTLS states that the connection was established by using KEMTLS. DidKEMTLS bool diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 394b6d903c4..635ddeaff88 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -57,6 +57,8 @@ type Conn struct { verifiedDC *DelegatedCredential // didKEMTLS states that the connection was established by using KEMTLS. didKEMTLS bool + // didClientAuthentication states that the connection used client authentication. + didClientAuthentication bool // serverName contains the server name indicated by the client, if any. serverName string // secureRenegotiation is true if the server echoed the secure @@ -1483,6 +1485,7 @@ func (c *Conn) connectionStateLocked() ConnectionState { if c.verifiedDC != nil { state.VerifiedDC = true } + state.DidClientAuthentication = c.didClientAuthentication state.DidKEMTLS = c.didKEMTLS state.SignedCertificateTimestamps = c.scts state.OCSPResponse = c.ocspResponse diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 27412f0fa20..f03661c47cf 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -180,6 +180,10 @@ func (hs *clientHandshakeStateTLS13) readServerKEMCiphertext() error { return nil } + if hs.certKEMTLS == nil { + return nil + } + sk, ok := hs.certKEMTLS.PrivateKey.(*kem.PrivateKey) if !ok { c.sendAlert(alertInternalError) @@ -209,6 +213,7 @@ func (hs *clientHandshakeStateTLS13) readServerKEMCiphertext() error { // MS <- HKDF.Extract(dAHS, ssC) hs.masterSecret = hs.suite.extract(ss, hs.handshakeSecret) hs.isClientAuthKEMTLS = true + c.didClientAuthentication = true return nil } diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index a0c4a8fef2b..52a8f331843 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -942,6 +942,7 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { return err } + c.didClientAuthentication = true hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() return nil diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 46d45de1849..ff4033ea465 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -161,6 +161,10 @@ func (hs *serverHandshakeStateTLS13) sendServerKEMCiphertext() error { return nil } + if c.peerCertificates[0] == nil { + return nil + } + var pk *kem.PublicKey var ok bool @@ -201,6 +205,7 @@ func (hs *serverHandshakeStateTLS13) sendServerKEMCiphertext() error { // MS <- HKDF.Extract(dAHS, ssC) hs.masterSecret = hs.suite.extract(ss, hs.handshakeSecret) hs.isClientAuthKEMTLS = true + c.didClientAuthentication = true return nil } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index dad0d687626..fbfe3d49fc5 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -1093,6 +1093,8 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { } hs.transcript.Write(certVerify.marshal()) + + c.didClientAuthentication = true } hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() From 4996072a74e4ff855571ef90fc01f0c0dc61dc7c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Wed, 21 Apr 2021 22:11:47 +0100 Subject: [PATCH 34/69] Check if pqtls has been completed --- src/crypto/tls/common.go | 3 + src/crypto/tls/conn.go | 3 + src/crypto/tls/delegated_credentials_test.go | 79 +++++++++++--------- src/crypto/tls/handshake_client_tls13.go | 27 +++++++ src/crypto/tls/handshake_server_tls13.go | 4 + 5 files changed, 81 insertions(+), 35 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 23e320d0f25..0d4aee96c73 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -353,6 +353,9 @@ type ConnectionState struct { // DidKEMTLS states that the connection was established by using KEMTLS. DidKEMTLS bool + // DidPQTLS states that the connection was established by using PQTLS. + DidPQTLS bool + // SignedCertificateTimestamps is a list of SCTs provided by the peer // through the TLS handshake for the leaf certificate, if any. SignedCertificateTimestamps [][]byte diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 635ddeaff88..9cc0db102d6 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -55,6 +55,8 @@ type Conn struct { // verifiedDC contains the Delegated Credential sent by the peer (if advertised // and correctly processed), which has been verified against the leaf certificate. verifiedDC *DelegatedCredential + // didPQTLS states that the connection was established by using PQTLS. + didPQTLS bool // didKEMTLS states that the connection was established by using KEMTLS. didKEMTLS bool // didClientAuthentication states that the connection used client authentication. @@ -1487,6 +1489,7 @@ func (c *Conn) connectionStateLocked() ConnectionState { } state.DidClientAuthentication = c.didClientAuthentication state.DidKEMTLS = c.didKEMTLS + state.DidPQTLS = c.didPQTLS state.SignedCertificateTimestamps = c.scts state.OCSPResponse = c.ocspResponse state.ECHAccepted = c.ech.accepted diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 09708588306..fd6c26b89c7 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -523,7 +523,7 @@ func testClientGetCertificate(cr *CertificateRequestInfo) (*Certificate, error) // Tests the handshake and one round of application data. Returns true if the // connection correctly used a Delegated Credential. -func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string, kemtls bool) (usedDC bool, usedKEMTLS bool, err error) { +func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string, kemtls bool, pqtls bool) (usedDC bool, usedKEMTLS bool, usedPQTLS bool, err error) { ln := newLocalListener(t) defer ln.Close() @@ -547,13 +547,13 @@ func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, ser client, err := Dial("tcp", ln.Addr().String(), clientConfig) if err != nil { - return false, false, err + return false, false, false, err } defer client.Close() server := <-serverCh if server == nil { - return false, false, serverErr + return false, false, false, serverErr } bufLen := len(clientMsg) @@ -565,34 +565,43 @@ func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, ser client.Write([]byte(clientMsg)) n, err := server.Read(buf) if err != nil || n != len(clientMsg) || string(buf[:n]) != clientMsg { - return false, false, fmt.Errorf("Server read = %d, buf= %q; want %d, %s", n, buf, len(clientMsg), clientMsg) + return false, false, false, fmt.Errorf("Server read = %d, buf= %q; want %d, %s", n, buf, len(clientMsg), clientMsg) } server.Write([]byte(serverMsg)) n, err = client.Read(buf) if n != len(serverMsg) || err != nil || string(buf[:n]) != serverMsg { - return false, false, fmt.Errorf("Client read = %d, %v, data %q; want %d, nil, %s", n, err, buf, len(serverMsg), serverMsg) + return false, false, false, fmt.Errorf("Client read = %d, %v, data %q; want %d, nil, %s", n, err, buf, len(serverMsg), serverMsg) } if kemtls { if peer == "server" { - return (server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), nil + return (server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, nil } else if peer == "client" { - return (client.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), nil + return (client.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, nil } else if peer == "both" { - return (client.verifiedDC != nil && server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), nil + return (client.verifiedDC != nil && server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, nil } + } else if pqtls { + if peer == "server" { + return (server.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), nil + } else if peer == "client" { + return (client.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), nil + } else if peer == "both" { + return (client.verifiedDC != nil && server.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), nil + } + } else { if peer == "server" { - return (server.verifiedDC != nil), false, nil + return (server.verifiedDC != nil), false, false, nil } else if peer == "client" { - return (client.verifiedDC != nil), false, nil + return (client.verifiedDC != nil), false, false, nil } else if peer == "both" { - return (client.verifiedDC != nil && server.verifiedDC != nil), false, nil + return (client.verifiedDC != nil && server.verifiedDC != nil), false, false, nil } } - return false, false, nil + return false, false, false, nil } // Test the server authentication with the Delegated Credential extension. @@ -613,7 +622,7 @@ func TestDCHandshakeServerAuth(t *testing.T) { clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false) + usedDC, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -647,7 +656,7 @@ func TestDCHandshakeClientAuth(t *testing.T) { serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers - usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false) + usedDC, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", j, test.name, dcCount, err.Error()) @@ -681,7 +690,7 @@ func TestDCHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false) + usedDC, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false, false) if err != nil { t.Errorf("test server and client auth fails: %s", err.Error()) @@ -781,7 +790,7 @@ func TestDCKEMHandshakeServerAuth(t *testing.T) { clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true) + usedDC, usedKEMTLS, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with kem #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -826,7 +835,7 @@ func TestDCKEMHandshakeClientAuth(t *testing.T) { serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers - usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", true) + usedDC, usedKEMTLS, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", true, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with kem algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -868,7 +877,7 @@ func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true) + usedDC, usedKEMTLS, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true, false) if err != nil { t.Errorf("test server and client auth with kems fails: %s", err.Error()) @@ -972,20 +981,20 @@ func TestDCPQHandshakeServerAuth(t *testing.T) { clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true) + usedDC, _, usedPQTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false, true) if err != nil && test.expectSuccess { - t.Errorf("test #%d (%s) with kem #%d fails: %s", i, test.name, dcCount, err.Error()) + t.Errorf("test #%d (%s) with pq #%d fails: %s", i, test.name, dcCount, err.Error()) } else if err == nil && !test.expectSuccess { - t.Errorf("test #%d (%s) with kem #%d succeeds; expected failure", i, test.name, dcCount) + t.Errorf("test #%d (%s) with pq #%d succeeds; expected failure", i, test.name, dcCount) } if usedDC != test.expectDC { - t.Errorf("test #%d (%s) with kem #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) + t.Errorf("test #%d (%s) with pq #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) } - if usedKEMTLS && test.expectSuccess { - t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) + if !usedPQTLS && test.expectSuccess { + t.Errorf("test #%d (%s) with pq #%d did not use pqtls", i, test.name, dcCount) } } } @@ -1017,20 +1026,20 @@ func TestDCPQHandshakeClientAuth(t *testing.T) { serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers - usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", true) + usedDC, _, usedPQTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false, true) if err != nil && test.expectSuccess { - t.Errorf("test #%d (%s) with kem algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) + t.Errorf("test #%d (%s) with pq algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) } else if err == nil && !test.expectSuccess { - t.Errorf("test #%d (%s) with kem algorithm #%d succeeds; expected failure", i, test.name, dcCount) + t.Errorf("test #%d (%s) with pq algorithm #%d succeeds; expected failure", i, test.name, dcCount) } if usedDC != test.expectDC { - t.Errorf("test #%d (%s) with kem algorithm #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) + t.Errorf("test #%d (%s) with pq algorithm #%d usedDC = %v; expected %v", i, test.name, dcCount, usedDC, test.expectDC) } - if usedKEMTLS && test.expectSuccess { - t.Errorf("test #%d (%s) with kem #%d did not use kemtls", i, test.name, dcCount) + if !usedPQTLS && test.expectSuccess { + t.Errorf("test #%d (%s) with pqs #%d did not use pqtls", i, test.name, dcCount) } } } @@ -1059,17 +1068,17 @@ func TestDCPQHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, usedKEMTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true) + usedDC, _, usedPQTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false, true) if err != nil { - t.Errorf("test server and client auth with kems fails: %s", err.Error()) + t.Errorf("test server and client auth with pqs fails: %s", err.Error()) } if usedDC != true { - t.Errorf("test server and client auth with kems does not succeed") + t.Errorf("test server and client auth with pqs does not succeed") } - if usedKEMTLS { - t.Errorf("test server and client auth with kems did not use kemtls") + if !usedPQTLS { + t.Errorf("test server and client auth with pqs did not use pqtls") } } diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 52a8f331843..3ff7181b970 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -629,6 +629,27 @@ func isKEMTLSAuthUsed(peerCertificate *x509.Certificate, cert Certificate) bool return false } +func isPQTLSAuthUsed(peerCertificate *x509.Certificate, cert Certificate) bool { + if cert.DelegatedCredential != nil { + dCred, err := unmarshalDelegatedCredential(cert.DelegatedCredential) + if err != nil { + return false + } + + if dCred.cred.expCertVerfAlgo.isPQTLS() { + return true + } + } + + if kemPriv, ok := peerCertificate.PublicKey.(*kem.PublicKey); ok { + if kemPriv.KEMId == kem.SIKEp434 || kemPriv.KEMId == kem.Kyber512 { + return true + } + } + + return false +} + func (hs *clientHandshakeStateTLS13) readServerCertificate() error { c := hs.c @@ -684,6 +705,12 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { return err } + if isPQTLSAuthUsed(c.peerCertificates[0], certMsg.certificate) { + if hs.keyKEMShare { + c.didPQTLS = true + } + } + if isKEMTLSAuthUsed(c.peerCertificates[0], certMsg.certificate) { if certMsg.delegatedCredential { if err := hs.processDelegatedCredentialFromServer(certMsg.certificate.DelegatedCredential, nil); err != nil { diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index fbfe3d49fc5..6d0844c4384 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -562,6 +562,8 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { if hs.keyKEMShare { if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { hs.isKEMTLS = true + } else if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isPQTLS() { + c.didPQTLS = true } else { return nil } @@ -571,6 +573,8 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { if hs.keyKEMShare { if hs.sigAlg.isKEMTLS() { hs.isKEMTLS = true + } else if hs.sigAlg.isPQTLS() { + c.didPQTLS = true } else { c.sendAlert(alertHandshakeFailure) return err From 5d770f8a2093b13ef64c160a1082a7eb6e1de8af Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Fri, 23 Apr 2021 01:01:45 +0100 Subject: [PATCH 35/69] Debugging --- src/crypto/tls/common.go | 3 +++ src/crypto/tls/handshake_client.go | 6 ++++++ src/crypto/tls/handshake_client_tls13.go | 2 ++ src/crypto/tls/handshake_server.go | 1 + src/crypto/tls/handshake_server_tls13.go | 10 ++++++++++ 5 files changed, 22 insertions(+) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 0d4aee96c73..1004a938c7e 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -1214,13 +1214,16 @@ var defaultCurvePreferences = []CurveID{X25519, CurveP256, CurveP384, CurveP521} var defaultKEMPreferences = []CurveID{Kyber512, SIKEp434, X25519, CurveP256, CurveP384, CurveP521} func (c *Config) curvePreferences() []CurveID { + fmt.Println("\n ENTERING HERE?") if c == nil || len(c.CurvePreferences) == 0 { if c.KEMTLSEnabled || c.PQTLSEnabled { + fmt.Println("\n HEEERE") return defaultKEMPreferences } return defaultCurvePreferences } + fmt.Println("\n AM I HERE? kaiiao") return c.CurvePreferences } diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 79954373447..b4435d87dcc 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -176,6 +176,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } } + fmt.Printf("\n %v KEYSHARES \n", keyShares) hello.keyShares = keyShares hello.delegatedCredentialSupported = config.SupportDelegatedCredential hello.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC @@ -185,6 +186,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } func (c *Conn) clientHandshake() (err error) { + fmt.Println("\n AT LEAST HERE?") if c.config == nil { c.config = defaultConfig() } @@ -237,6 +239,7 @@ func (c *Conn) clientHandshake() (err error) { return err } + fmt.Println("\n AT LEAST HERE? 6") handshakeTimings.WriteClientHello = handshakeTimings.elapsedTime() msg, err := c.readHandshake() @@ -266,6 +269,7 @@ func (c *Conn) clientHandshake() (err error) { return errors.New("tls: downgrade attempt detected, possibly due to a MitM attack or a broken middlebox") } + fmt.Println("\n AT LEAST HERE? 3") if c.vers == VersionTLS13 { hs := &clientHandshakeStateTLS13{ c: c, @@ -280,6 +284,7 @@ func (c *Conn) clientHandshake() (err error) { handshakeTimings: handshakeTimings, } + fmt.Println("\n AT LEAST HERE? 2") // In TLS 1.3, session tickets are delivered after the handshake. return hs.handshake() } @@ -523,6 +528,7 @@ func (hs *clientHandshakeState) handshake() error { func (hs *clientHandshakeState) pickCipherSuite() error { if hs.suite = mutualCipherSuite(hs.hello.cipherSuites, hs.serverHello.cipherSuite); hs.suite == nil { hs.c.sendAlert(alertHandshakeFailure) + fmt.Println("\n HYUD") return errors.New("tls: server chose an unconfigured cipher suite") } diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 3ff7181b970..515fbde04c9 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -927,8 +927,10 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { suppSigAlgo := hs.certReq.supportedSignatureAlgorithms sigAlgorithm, err = selectSignatureScheme(c.vers, cert, suppSigAlgo) if err != nil { + // getClientCertificate returned a certificate incompatible with the // CertificateRequestInfo supported signature algorithms. + fmt.Println("\n HERE 1") c.sendAlert(alertHandshakeFailure) return err } diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 5e7e90384cb..62ed12163a3 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -41,6 +41,7 @@ type serverHandshakeState struct { // serverHandshake performs a TLS handshake as a server. func (c *Conn) serverHandshake() error { + fmt.Println("\n AT LEAST HERE? 7") clientHello, err := c.readClientHello() if err != nil { return err diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 6d0844c4384..670a0d9d9bb 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -194,6 +194,7 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { } if len(hs.clientHello.secureRenegotiation) != 0 { + fmt.Println("\n HERE 2") c.sendAlert(alertHandshakeFailure) return errors.New("tls: initial handshake had non-empty renegotiation extension") } @@ -240,6 +241,7 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { } } if hs.suite == nil { + fmt.Println("\n HERE 3") c.sendAlert(alertHandshakeFailure) return errors.New("tls: no cipher suite supported by both client and server") } @@ -249,6 +251,7 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { // Resolve the server's preference for the ECDHE group. supportedCurves := c.config.curvePreferences() + fmt.Printf("\n server %v \n", supportedCurves) if testingTriggerHRR { // A HelloRetryRequest (HRR) is sent if the client does not offer a key // share for a curve supported by the server. To trigger this condition @@ -281,6 +284,8 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { // groups with a key share, to avoid a HelloRetryRequest round-trip. var selectedGroup CurveID var clientKeyShare *keyShare + + fmt.Printf("\n client %v \n", hs.clientHello.keyShares) GroupSelection: for _, preferredGroup := range supportedCurves { for _, ks := range hs.clientHello.keyShares { @@ -301,6 +306,7 @@ GroupSelection: } } if selectedGroup == 0 { + fmt.Println("\n HERE 4") c.sendAlert(alertHandshakeFailure) return errors.New("tls: no ECDHE curve supported by both client and server") } @@ -339,6 +345,7 @@ GroupSelection: return errors.New("tls: invalid client key share") } + fmt.Printf("\n keyshare? %v \n", hs.keyKEMShare) c.serverName = hs.clientHello.serverName hs.handshakeTimings.ProcessClientHello = hs.handshakeTimings.elapsedTime() @@ -526,6 +533,7 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.sigAlg, err = selectSignatureScheme(c.vers, certificate, hs.clientHello.supportedSignatureAlgorithms) if err != nil { + fmt.Println("\n HERE 5") // getCertificate returned a certificate that is unsupported or // incompatible with the client's signature algorithms. c.sendAlert(alertHandshakeFailure) @@ -576,6 +584,7 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { } else if hs.sigAlg.isPQTLS() { c.didPQTLS = true } else { + fmt.Println("\n HERE 6") c.sendAlert(alertHandshakeFailure) return err } @@ -871,6 +880,7 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { public := hs.cert.PrivateKey.(crypto.Signer).Public() if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS + fmt.Println("\n HERE 7") c.sendAlert(alertHandshakeFailure) } else { c.sendAlert(alertInternalError) From 8bfc9e54e39a4b897f87cf084a245b3bf89a6914 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Fri, 23 Apr 2021 01:38:14 +0100 Subject: [PATCH 36/69] Other debugging --- src/crypto/tls/handshake_server_tls13.go | 3 +++ 1 file changed, 3 insertions(+) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 670a0d9d9bb..430dffae3d0 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -542,6 +542,7 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.cert = certificate + fmt.Println("\n CHECKING FOR DCs") if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 { delegatedCredentialPair, err := getDelegatedCredential(clientHelloInfo(c, hs.clientHello), hs.cert) if err != nil { @@ -549,6 +550,7 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { return nil } + fmt.Println("\n HAVE A DC?") if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal() @@ -569,6 +571,7 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw if hs.keyKEMShare { if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { + fmt.Println("\n IS DC KEMTLS?") hs.isKEMTLS = true } else if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isPQTLS() { c.didPQTLS = true From 9d7f443e0774370f05e944d479fc889c9e41226c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Fri, 23 Apr 2021 03:05:50 +0100 Subject: [PATCH 37/69] Solve potential bug --- src/crypto/tls/common.go | 5 +++ src/crypto/tls/handshake_client_kemtls.go | 32 +++++++++++++----- src/crypto/tls/handshake_client_tls13.go | 23 ++++++++++--- src/crypto/tls/handshake_server_kemtls.go | 11 ++++-- src/crypto/tls/handshake_server_tls13.go | 41 +++++++++++++++++------ 5 files changed, 84 insertions(+), 28 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 1004a938c7e..9ca2ee2e16e 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -1581,6 +1581,11 @@ type Certificate struct { // NOTE: Do not fill this field, as it will be filled depending on // the provided list of delegated credentials. DelegatedCredential []byte + // DelegatedCredentialPrivateKey contains the private key corresponding to the public key in + // the Delegated Credential. + // NOTE: Do not fill this field, as it will be filled depending on + // the provided list of delegated credentials. + DelegatedCredentialPrivateKey crypto.PrivateKey // Leaf is the parsed form of the leaf certificate, which may be initialized // using x509.ParseCertificate to reduce per-handshake processing. If nil, // the leaf certificate will be parsed as needed. diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index f03661c47cf..e5db59d805a 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -142,17 +142,26 @@ func (hs *clientHandshakeStateTLS13) sendKEMClientCertificate() error { if delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal(); err == nil { dcPair = delegatedCredentialPair cert.DelegatedCredential = dcPair.DC.raw - cert.PrivateKey = dcPair.PrivateKey + cert.DelegatedCredentialPrivateKey = dcPair.PrivateKey } } } } - _, ok := cert.PrivateKey.(*kem.PrivateKey) - if !ok { - // it has to be a KEM key - c.sendAlert(alertInternalError) - return errors.New("tls: incorrect certificate found") + if len(cert.DelegatedCredential) > 0 { + _, ok := cert.DelegatedCredentialPrivateKey.(*kem.PrivateKey) + if !ok { + // it has to be a KEM key + c.sendAlert(alertInternalError) + return errors.New("tls: incorrect certificate found") + } + } else { + _, ok := cert.PrivateKey.(*kem.PrivateKey) + if !ok { + // it has to be a KEM key + c.sendAlert(alertInternalError) + return errors.New("tls: incorrect certificate found") + } } certMsg := new(certificateMsgTLS13) @@ -184,10 +193,15 @@ func (hs *clientHandshakeStateTLS13) readServerKEMCiphertext() error { return nil } - sk, ok := hs.certKEMTLS.PrivateKey.(*kem.PrivateKey) + var sk *kem.PrivateKey + var ok, ok1 bool + sk, ok = hs.certKEMTLS.PrivateKey.(*kem.PrivateKey) if !ok { - c.sendAlert(alertInternalError) - return errors.New("crypto/tls: private key unexpectedly wrong type") + sk, ok1 = hs.certKEMTLS.DelegatedCredentialPrivateKey.(*kem.PrivateKey) + if !ok1 { + c.sendAlert(alertInternalError) + return errors.New("crypto/tls: private key unexpectedly of wrong type") + } } msg, err := c.readHandshake() diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 515fbde04c9..f9a174d2106 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -943,7 +943,7 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { // CertificateRequestInfo supported signature algorithms. cert.DelegatedCredential = nil } else { - cert.PrivateKey = dcPair.PrivateKey + cert.DelegatedCredentialPrivateKey = dcPair.PrivateKey } } @@ -959,11 +959,24 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { if sigType == signatureRSAPSS { signOpts = &rsa.PSSOptions{SaltLength: rsa.PSSSaltLengthEqualsHash, Hash: sigHash} } - sig, err := cert.PrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) - if err != nil { - c.sendAlert(alertInternalError) - return errors.New("tls: failed to sign handshake: " + err.Error()) + + var sig []byte + if len(cert.DelegatedCredential) > 0 { + var err error + sig, err = cert.DelegatedCredentialPrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) + if err != nil { + c.sendAlert(alertInternalError) + return errors.New("tls: failed to sign handshake: " + err.Error()) + } + } else { + var err error + sig, err = cert.PrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) + if err != nil { + c.sendAlert(alertInternalError) + return errors.New("tls: failed to sign handshake: " + err.Error()) + } } + certVerifyMsg.signature = sig hs.transcript.Write(certVerifyMsg.marshal()) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index ff4033ea465..4dd130727cc 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -42,10 +42,15 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { func (hs *serverHandshakeStateTLS13) readClientKEMCiphertext() error { c := hs.c - sk, ok := hs.cert.PrivateKey.(*kem.PrivateKey) + var sk *kem.PrivateKey + var ok, ok1 bool + sk, ok = hs.cert.PrivateKey.(*kem.PrivateKey) if !ok { - c.sendAlert(alertInternalError) - return errors.New("crypto/tls: private key unexpectedly of wrong type") + sk, ok1 = hs.cert.DelegatedCredentialPrivateKey.(*kem.PrivateKey) + if !ok1 { + c.sendAlert(alertInternalError) + return errors.New("crypto/tls: private key unexpectedly of wrong type") + } } msg, err := c.readHandshake() diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 430dffae3d0..68d1af426e0 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -567,7 +567,7 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { return nil } - hs.cert.PrivateKey = delegatedCredentialPair.PrivateKey + hs.cert.DelegatedCredentialPrivateKey = delegatedCredentialPair.PrivateKey hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw if hs.keyKEMShare { if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { @@ -878,17 +878,36 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { if sigType == signatureRSAPSS { signOpts = &rsa.PSSOptions{SaltLength: rsa.PSSSaltLengthEqualsHash, Hash: sigHash} } - sig, err := hs.cert.PrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) - if err != nil { - public := hs.cert.PrivateKey.(crypto.Signer).Public() - if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && - rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS - fmt.Println("\n HERE 7") - c.sendAlert(alertHandshakeFailure) - } else { - c.sendAlert(alertInternalError) + + var sig []byte + if len(hs.cert.DelegatedCredential) > 0 { + var err error + sig, err = hs.cert.DelegatedCredentialPrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) + if err != nil { + public := hs.cert.DelegatedCredentialPrivateKey.(crypto.Signer).Public() + if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && + rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS + fmt.Println("\n HERE 7") + c.sendAlert(alertHandshakeFailure) + } else { + c.sendAlert(alertInternalError) + } + return errors.New("tls: failed to sign handshake: " + err.Error()) + } + } else { + var err error + sig, err = hs.cert.PrivateKey.(crypto.Signer).Sign(c.config.rand(), signed, signOpts) + if err != nil { + public := hs.cert.PrivateKey.(crypto.Signer).Public() + if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && + rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS + fmt.Println("\n HERE 7.1") + c.sendAlert(alertHandshakeFailure) + } else { + c.sendAlert(alertInternalError) + } + return errors.New("tls: failed to sign handshake: " + err.Error()) } - return errors.New("tls: failed to sign handshake: " + err.Error()) } certVerifyMsg.signature = sig From a700c7226f98ae1948ff68b93b6bad2337ca77cb Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Fri, 23 Apr 2021 03:48:31 +0100 Subject: [PATCH 38/69] Small check --- src/crypto/tls/handshake_client_kemtls.go | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index e5db59d805a..d1b1498a4ec 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -153,14 +153,14 @@ func (hs *clientHandshakeStateTLS13) sendKEMClientCertificate() error { if !ok { // it has to be a KEM key c.sendAlert(alertInternalError) - return errors.New("tls: incorrect certificate found") + return errors.New("tls: incorrect delegated credential found") } - } else { + } else if cert != nil { _, ok := cert.PrivateKey.(*kem.PrivateKey) if !ok { // it has to be a KEM key c.sendAlert(alertInternalError) - return errors.New("tls: incorrect certificate found") + return errors.New("tls: JU incorrect certificate found") } } From 6b217400bf857f89bb5d88c2de577da730f1f97a Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Fri, 23 Apr 2021 06:47:33 +0100 Subject: [PATCH 39/69] Remove the insane debugging --- src/crypto/tls/common.go | 3 --- src/crypto/tls/handshake_client.go | 6 ------ src/crypto/tls/handshake_client_tls13.go | 1 - src/crypto/tls/handshake_server.go | 1 - src/crypto/tls/handshake_server_tls13.go | 13 ------------- 5 files changed, 24 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 9ca2ee2e16e..63069879938 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -1214,16 +1214,13 @@ var defaultCurvePreferences = []CurveID{X25519, CurveP256, CurveP384, CurveP521} var defaultKEMPreferences = []CurveID{Kyber512, SIKEp434, X25519, CurveP256, CurveP384, CurveP521} func (c *Config) curvePreferences() []CurveID { - fmt.Println("\n ENTERING HERE?") if c == nil || len(c.CurvePreferences) == 0 { if c.KEMTLSEnabled || c.PQTLSEnabled { - fmt.Println("\n HEEERE") return defaultKEMPreferences } return defaultCurvePreferences } - fmt.Println("\n AM I HERE? kaiiao") return c.CurvePreferences } diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index b4435d87dcc..79954373447 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -176,7 +176,6 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } } - fmt.Printf("\n %v KEYSHARES \n", keyShares) hello.keyShares = keyShares hello.delegatedCredentialSupported = config.SupportDelegatedCredential hello.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC @@ -186,7 +185,6 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } func (c *Conn) clientHandshake() (err error) { - fmt.Println("\n AT LEAST HERE?") if c.config == nil { c.config = defaultConfig() } @@ -239,7 +237,6 @@ func (c *Conn) clientHandshake() (err error) { return err } - fmt.Println("\n AT LEAST HERE? 6") handshakeTimings.WriteClientHello = handshakeTimings.elapsedTime() msg, err := c.readHandshake() @@ -269,7 +266,6 @@ func (c *Conn) clientHandshake() (err error) { return errors.New("tls: downgrade attempt detected, possibly due to a MitM attack or a broken middlebox") } - fmt.Println("\n AT LEAST HERE? 3") if c.vers == VersionTLS13 { hs := &clientHandshakeStateTLS13{ c: c, @@ -284,7 +280,6 @@ func (c *Conn) clientHandshake() (err error) { handshakeTimings: handshakeTimings, } - fmt.Println("\n AT LEAST HERE? 2") // In TLS 1.3, session tickets are delivered after the handshake. return hs.handshake() } @@ -528,7 +523,6 @@ func (hs *clientHandshakeState) handshake() error { func (hs *clientHandshakeState) pickCipherSuite() error { if hs.suite = mutualCipherSuite(hs.hello.cipherSuites, hs.serverHello.cipherSuite); hs.suite == nil { hs.c.sendAlert(alertHandshakeFailure) - fmt.Println("\n HYUD") return errors.New("tls: server chose an unconfigured cipher suite") } diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index f9a174d2106..cb403e88b18 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -930,7 +930,6 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { // getClientCertificate returned a certificate incompatible with the // CertificateRequestInfo supported signature algorithms. - fmt.Println("\n HERE 1") c.sendAlert(alertHandshakeFailure) return err } diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 62ed12163a3..5e7e90384cb 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -41,7 +41,6 @@ type serverHandshakeState struct { // serverHandshake performs a TLS handshake as a server. func (c *Conn) serverHandshake() error { - fmt.Println("\n AT LEAST HERE? 7") clientHello, err := c.readClientHello() if err != nil { return err diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 68d1af426e0..42fe3b9cfd9 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -194,7 +194,6 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { } if len(hs.clientHello.secureRenegotiation) != 0 { - fmt.Println("\n HERE 2") c.sendAlert(alertHandshakeFailure) return errors.New("tls: initial handshake had non-empty renegotiation extension") } @@ -241,7 +240,6 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { } } if hs.suite == nil { - fmt.Println("\n HERE 3") c.sendAlert(alertHandshakeFailure) return errors.New("tls: no cipher suite supported by both client and server") } @@ -251,7 +249,6 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { // Resolve the server's preference for the ECDHE group. supportedCurves := c.config.curvePreferences() - fmt.Printf("\n server %v \n", supportedCurves) if testingTriggerHRR { // A HelloRetryRequest (HRR) is sent if the client does not offer a key // share for a curve supported by the server. To trigger this condition @@ -285,7 +282,6 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { var selectedGroup CurveID var clientKeyShare *keyShare - fmt.Printf("\n client %v \n", hs.clientHello.keyShares) GroupSelection: for _, preferredGroup := range supportedCurves { for _, ks := range hs.clientHello.keyShares { @@ -306,7 +302,6 @@ GroupSelection: } } if selectedGroup == 0 { - fmt.Println("\n HERE 4") c.sendAlert(alertHandshakeFailure) return errors.New("tls: no ECDHE curve supported by both client and server") } @@ -345,7 +340,6 @@ GroupSelection: return errors.New("tls: invalid client key share") } - fmt.Printf("\n keyshare? %v \n", hs.keyKEMShare) c.serverName = hs.clientHello.serverName hs.handshakeTimings.ProcessClientHello = hs.handshakeTimings.elapsedTime() @@ -533,7 +527,6 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.sigAlg, err = selectSignatureScheme(c.vers, certificate, hs.clientHello.supportedSignatureAlgorithms) if err != nil { - fmt.Println("\n HERE 5") // getCertificate returned a certificate that is unsupported or // incompatible with the client's signature algorithms. c.sendAlert(alertHandshakeFailure) @@ -542,7 +535,6 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.cert = certificate - fmt.Println("\n CHECKING FOR DCs") if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 { delegatedCredentialPair, err := getDelegatedCredential(clientHelloInfo(c, hs.clientHello), hs.cert) if err != nil { @@ -550,7 +542,6 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { return nil } - fmt.Println("\n HAVE A DC?") if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal() @@ -571,7 +562,6 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw if hs.keyKEMShare { if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { - fmt.Println("\n IS DC KEMTLS?") hs.isKEMTLS = true } else if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isPQTLS() { c.didPQTLS = true @@ -587,7 +577,6 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { } else if hs.sigAlg.isPQTLS() { c.didPQTLS = true } else { - fmt.Println("\n HERE 6") c.sendAlert(alertHandshakeFailure) return err } @@ -887,7 +876,6 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { public := hs.cert.DelegatedCredentialPrivateKey.(crypto.Signer).Public() if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS - fmt.Println("\n HERE 7") c.sendAlert(alertHandshakeFailure) } else { c.sendAlert(alertInternalError) @@ -901,7 +889,6 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { public := hs.cert.PrivateKey.(crypto.Signer).Public() if rsaKey, ok := public.(*rsa.PublicKey); ok && sigType == signatureRSAPSS && rsaKey.N.BitLen()/8 < sigHash.Size()*2+2 { // key too small for RSA-PSS - fmt.Println("\n HERE 7.1") c.sendAlert(alertHandshakeFailure) } else { c.sendAlert(alertInternalError) From 4af113db3ad343ea014a1f377c33f5ee03e4bcfe Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 27 Apr 2021 03:31:25 +0100 Subject: [PATCH 40/69] Ignore if a cert was not found --- src/crypto/tls/handshake_client_kemtls.go | 6 +++--- src/crypto/tls/handshake_server_kemtls.go | 2 +- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index d1b1498a4ec..c69e6c30fdf 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -155,12 +155,12 @@ func (hs *clientHandshakeStateTLS13) sendKEMClientCertificate() error { c.sendAlert(alertInternalError) return errors.New("tls: incorrect delegated credential found") } - } else if cert != nil { + } else if len(cert.Certificate) != 0 { _, ok := cert.PrivateKey.(*kem.PrivateKey) if !ok { // it has to be a KEM key c.sendAlert(alertInternalError) - return errors.New("tls: JU incorrect certificate found") + return errors.New("tls: incorrect certificate found") } } @@ -189,7 +189,7 @@ func (hs *clientHandshakeStateTLS13) readServerKEMCiphertext() error { return nil } - if hs.certKEMTLS == nil { + if len(hs.certKEMTLS.Certificate) == 0 { return nil } diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 4dd130727cc..e64fab634cf 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -166,7 +166,7 @@ func (hs *serverHandshakeStateTLS13) sendServerKEMCiphertext() error { return nil } - if c.peerCertificates[0] == nil { + if len(c.peerCertificates) == 0 { return nil } From 65043c4ff28cfffb484960b4d75b977917162ebb Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 4 May 2021 23:50:35 +0100 Subject: [PATCH 41/69] Implemented cached information extension --- src/crypto/tls/common.go | 16 +++++++++ src/crypto/tls/conn.go | 8 +++++ src/crypto/tls/handshake_client.go | 21 ++++++++++-- src/crypto/tls/handshake_messages.go | 42 ++++++++++++++++++++++++ src/crypto/tls/handshake_server.go | 2 ++ src/crypto/tls/handshake_server_tls13.go | 14 ++++++++ src/crypto/tls/prf.go | 6 ++++ src/crypto/tls/tls_test.go | 4 +++ 8 files changed, 110 insertions(+), 3 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 63069879938..7b1be0661e3 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -93,6 +93,7 @@ const ( extensionSignatureAlgorithms uint16 = 13 extensionALPN uint16 = 16 extensionSCT uint16 = 18 + extensionCachedInfo uint16 = 25 extensionDelegatedCredentials uint16 = 34 extensionSessionTicket uint16 = 35 extensionPreSharedKey uint16 = 41 @@ -583,6 +584,12 @@ type ClientHelloInfo struct { // to negotiate the Delegated Credential extension. SupportsDelegatedCredential bool + // CachedInformationCert is true if the client has the server's certificate + // message cached for the cached information extension. + CachedInformationCert bool + // CachedInformationCertReq is true if the client has the server's certificate + // request message cached for the cached information extension. + CachedInformationCertReq bool // Conn is the underlying net.Conn for the connection. Do not read // from, or write to, this connection; that will cause the TLS // connection to fail. @@ -898,6 +905,13 @@ type Config struct { // authentication based on TLS 1.3. PQTLSEnabled bool + // CachedCert corresponds to a cached server's Certificate message by the + // client. If filled, it will be used by the cached information extension. + CachedCert []byte + // CachedCertReq corresponds to a cached server's Certificate Request message + // by the client. If filled, it will be used by the cached information extension. + CachedCertReq []byte + // mutex protects sessionTicketKeys and autoSessionTicketKeys. mutex sync.RWMutex // sessionTicketKeys contains zero or more ticket keys. If set, it means the @@ -990,6 +1004,8 @@ func (c *Config) Clone() *Config { SupportDelegatedCredential: c.SupportDelegatedCredential, KEMTLSEnabled: c.KEMTLSEnabled, PQTLSEnabled: c.PQTLSEnabled, + CachedCert: c.CachedCert, + CachedCertReq: c.CachedCertReq, ECHEnabled: c.ECHEnabled, ClientECHConfigs: c.ClientECHConfigs, ServerECHProvider: c.ServerECHProvider, diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 9cc0db102d6..06153307c80 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -97,6 +97,14 @@ type Conn struct { clientFinished [12]byte serverFinished [12]byte + // certificateMessage contain the Certificate message sent + // by the server in the most recent handshake. + // certificateMessageReq contain the Certificate Request message sent + // by the server in the most recent handshake. + // This is retained to be used as cached information for a new handshake. + certificateMessage []byte + certificateReqMessage []byte + // clientProtocol is the negotiated ALPN protocol. clientProtocol string diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 79954373447..4481fa0cb7a 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -69,6 +69,16 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS clientHelloVersion = VersionTLS12 } + var cachedCert, cachedCertReq bool + var cachedCertHash, cachedCertReqHash []byte + if len(config.CachedCert) > 0 { + cachedCert = true + cachedCertHash = calculateHashCachedInfo(config.CachedCert) + } else if len(config.CachedCertReq) > 0 { + cachedCertReq = true + cachedCertReqHash = calculateHashCachedInfo(config.CachedCertReq) + } + hello := &clientHelloMsg{ vers: clientHelloVersion, compressionMethods: []uint8{compressionNone}, @@ -82,6 +92,10 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS secureRenegotiationSupported: true, alpnProtocols: config.NextProtos, supportedVersions: supportedVersions, + cachedInformationCert: cachedCert, + cachedInformationCertHash: cachedCertHash, + cachedInformationCertReq: cachedCertReq, + cachedInformationCertReqHash: cachedCertReqHash, } if c.handshakes > 0 { @@ -140,6 +154,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } keyShares = append(keyShares, keyShare{group: curveID, data: params.PublicKey()}) keySharePrivates = append(keySharePrivates, params) + // TODO: EXP } else if config.KEMTLSEnabled || config.PQTLSEnabled { var haveECDHE, haveKEM bool @@ -197,9 +212,9 @@ func (c *Conn) clientHandshake() (err error) { // Determine the minimum required version for this handshake. minVersion := c.config.MinVersion - if c.config.echCanOffer() { - // If the ECH extension will be offered in this handshake, then the - // ClientHelloInner must not offer TLS 1.2 or below. + if c.config.echCanOffer() || len(c.config.CachedCert) > 0 || len(c.config.CachedCertReq) > 0 { + // If the ECH extension or the cached information extension will be offered in this handshake, + // then the ClientHelloInner must not offer TLS 1.2 or below. minVersion = VersionTLS13 } diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index 6b68131edac..0e5312048e9 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -85,6 +85,10 @@ type clientHelloMsg struct { secureRenegotiationSupported bool secureRenegotiation []byte delegatedCredentialSupported bool + cachedInformationCert bool + cachedInformationCertHash []byte + cachedInformationCertReq bool + cachedInformationCertReqHash []byte alpnProtocols []string scts bool supportedVersions []uint16 @@ -230,6 +234,22 @@ func (m *clientHelloMsg) marshal() []byte { }) } } + if m.cachedInformationCert { + // RFC: https://tools.ietf.org/html/rfc6066 + b.AddUint16(extensionCachedInfo) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint8(1) // CachedInformationType: cert + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes([]byte(m.cachedInformationCertHash)) + }) + if m.cachedInformationCertReq { + b.AddUint8(2) // CachedInformationType: cert_req + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes([]byte(m.cachedInformationCertReqHash)) + }) + } + }) + } if len(m.alpnProtocols) > 0 { // RFC 7301, Section 3.1 b.AddUint16(extensionALPN) @@ -579,6 +599,26 @@ func (m *clientHelloMsg) unmarshal(data []byte) bool { m.supportedSignatureAlgorithmsDC, SignatureScheme(sigAndAlg)) } m.delegatedCredentialSupported = true + case extensionCachedInfo: + // RFC 7924, Section 4 + var cachedType uint8 + if extData.ReadUint8(&cachedType) { + if readUint16LengthPrefixed(&extData, &m.cachedInformationCertHash) { + m.cachedInformationCert = true + } + } else { + return false + } + + if !extData.Empty() { + if extData.ReadUint8(&cachedType) { + if readUint16LengthPrefixed(&extData, &m.cachedInformationCertReqHash) { + m.cachedInformationCertReq = true + } + } else { + return false + } + } case extensionKeyShare: // RFC 8446, Section 4.2.8 var clientShares cryptobyte.String @@ -663,6 +703,8 @@ type serverHelloMsg struct { selectedIdentityPresent bool selectedIdentity uint16 supportedPoints []uint8 + cachedInformationCert bool + cachedInformationCertReq bool // HelloRetryRequest extensions cookie []byte diff --git a/src/crypto/tls/handshake_server.go b/src/crypto/tls/handshake_server.go index 5e7e90384cb..3baa378ba68 100644 --- a/src/crypto/tls/handshake_server.go +++ b/src/crypto/tls/handshake_server.go @@ -857,6 +857,8 @@ func clientHelloInfo(c *Conn, clientHello *clientHelloMsg) *ClientHelloInfo { SupportedVersions: supportedVersions, SupportsDelegatedCredential: clientHello.delegatedCredentialSupported, SignatureSchemesDC: clientHello.supportedSignatureAlgorithmsDC, + CachedInformationCert: clientHello.cachedInformationCert, + CachedInformationCertReq: clientHello.cachedInformationCertReq, Conn: c.conn, config: c.config, } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 42fe3b9cfd9..2941198330b 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -180,6 +180,20 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { return errors.New("tls: TLS 1.3 client supports illegal compression methods") } + if hs.clientHello.cachedInformationCert { + cachedCertHash := calculateHashCachedInfo(hs.clientHello.cachedInformationCertHash) + if bytes.Equal(cachedCertHash, hs.clientHello.cachedInformationCertHash) { + hs.hello.cachedInformationCert = true + } + } + + if hs.clientHello.cachedInformationCertReq { + cachedCertReqHash := calculateHashCachedInfo(hs.clientHello.cachedInformationCertReqHash) + if bytes.Equal(cachedCertReqHash, hs.clientHello.cachedInformationCertReqHash) { + hs.hello.cachedInformationCertReq = true + } + } + hs.hello.random = make([]byte, 32) if _, err := io.ReadFull(c.config.rand(), hs.hello.random); err != nil { c.sendAlert(alertInternalError) diff --git a/src/crypto/tls/prf.go b/src/crypto/tls/prf.go index c153504078b..61e7e3bb641 100644 --- a/src/crypto/tls/prf.go +++ b/src/crypto/tls/prf.go @@ -281,3 +281,9 @@ func ekmFromMasterSecret(version uint16, suite *cipherSuite, masterSecret, clien return keyMaterial, nil } } + +func calculateHashCachedInfo(cachedInfo []byte) []byte { + h := crypto.SHA256.New() + h.Write(cachedInfo) + return h.Sum(nil) +} diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index 9c95d3525f7..d77e32914a9 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -822,6 +822,10 @@ func TestCloneNonFuncFields(t *testing.T) { f.Set(reflect.ValueOf(false)) case "SupportDelegatedCredential": f.Set(reflect.ValueOf(true)) + case "CachedCert": + f.Set(reflect.ValueOf([]byte{})) + case "CachedCertReq": + f.Set(reflect.ValueOf([]byte{})) case "SessionTicketKey": f.Set(reflect.ValueOf([32]byte{})) case "CipherSuites": From 76558dddda569d5d0cc89536e6579f40ba6a121f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Wed, 5 May 2021 13:30:16 +0100 Subject: [PATCH 42/69] Allow saving the certificate or certificate request message --- src/crypto/tls/common.go | 6 ++++++ src/crypto/tls/conn.go | 2 ++ src/crypto/tls/handshake_client_tls13.go | 4 ++++ src/crypto/tls/handshake_messages.go | 26 ++++++++++++++++++++++++ src/crypto/tls/handshake_server_tls13.go | 3 +++ src/crypto/tls/tls_test.go | 22 ++++++++++++++++++++ 6 files changed, 63 insertions(+) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 7b1be0661e3..0f74c10003d 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -357,6 +357,12 @@ type ConnectionState struct { // DidPQTLS states that the connection was established by using PQTLS. DidPQTLS bool + // CertificateMessage contains the server's Certificate Message. + CertificateMessage []byte + + // CertificateReqMessage contains the server's Certificate Request Message. + CertificateReqMessage []byte + // SignedCertificateTimestamps is a list of SCTs provided by the peer // through the TLS handshake for the leaf certificate, if any. SignedCertificateTimestamps [][]byte diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 06153307c80..5dc38f917a8 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -1498,6 +1498,8 @@ func (c *Conn) connectionStateLocked() ConnectionState { state.DidClientAuthentication = c.didClientAuthentication state.DidKEMTLS = c.didKEMTLS state.DidPQTLS = c.didPQTLS + state.CertificateMessage = c.certificateMessage + state.CertificateReqMessage = c.certificateReqMessage state.SignedCertificateTimestamps = c.scts state.OCSPResponse = c.ocspResponse state.ECHAccepted = c.ech.accepted diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index cb403e88b18..e9246ceb4ee 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -774,6 +774,8 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() } + c.certificateMessage = certMsg.marshal() + return nil } @@ -986,6 +988,8 @@ func (hs *clientHandshakeStateTLS13) sendClientCertificate() error { c.didClientAuthentication = true hs.handshakeTimings.WriteCertificateVerify = hs.handshakeTimings.elapsedTime() + c.certificateReqMessage = hs.certReq.marshal() + return nil } diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index 0e5312048e9..ebf92aa631e 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -814,6 +814,16 @@ func (m *serverHelloMsg) marshal() []byte { }) }) } + if m.cachedInformationCert { + // RFC: https://tools.ietf.org/html/rfc6066 + b.AddUint16(extensionCachedInfo) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint8(1) // CachedInformationType: cert + if m.cachedInformationCertReq { + b.AddUint8(2) // CachedInformationType: cert_req + } + }) + } extensionsPresent = len(b.BytesOrPanic()) > 2 }) @@ -924,6 +934,22 @@ func (m *serverHelloMsg) unmarshal(data []byte) bool { len(m.supportedPoints) == 0 { return false } + case extensionCachedInfo: + // RFC 7924, Section 4 + var cachedType uint8 + if extData.ReadUint8(&cachedType) { + m.cachedInformationCert = true + } else { + return false + } + + if !extData.Empty() { + if extData.ReadUint8(&cachedType) { + m.cachedInformationCertReq = true + } else { + return false + } + } default: // Ignore unknown extensions. continue diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 2941198330b..812d6ca57d7 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -850,6 +850,8 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { if _, err := c.writeRecord(recordTypeHandshake, certReq.marshal()); err != nil { return err } + + c.certificateReqMessage = certReq.marshal() } certMsg := new(certificateMsgTLS13) @@ -863,6 +865,7 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { if _, err := c.writeRecord(recordTypeHandshake, certMsg.marshal()); err != nil { return err } + c.certificateMessage = certMsg.marshal() hs.handshakeTimings.WriteCertificate = hs.handshakeTimings.elapsedTime() diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index d77e32914a9..08529cd970a 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -1542,3 +1542,25 @@ func TestKEMEphemeralTLS13(t *testing.T) { } } } + +func TestChachedInformationTLS13(t *testing.T) { + clientConfig := testConfig.Clone() + clientConfig.MinVersion = VersionTLS13 + clientConfig.MaxVersion = VersionTLS13 + + serverConfig := testConfig.Clone() + serverConfig.ClientAuth = RequestClientCert + + serverState, clientState, err := testHandshake(t, clientConfig, serverConfig) + if err != nil { + t.Fatal("Should have succedeed") + } + + if len(serverState.CertificateMessage) < 0 || len(clientState.CertificateMessage) < 0 { + t.Fatal("Should have saved the Certificate Message") + } + + if len(serverState.CertificateReqMessage) < 0 || len(clientState.CertificateReqMessage) < 0 { + t.Fatal("Should have saved the Certificate Request Message") + } +} From 108603929ed5ceb2c158740192864d1de389b1fb Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Mon, 10 May 2021 13:58:35 +0100 Subject: [PATCH 43/69] Solve issues with key logger and extensions --- src/crypto/tls/handshake_server_kemtls.go | 18 +++++++++++++++--- src/crypto/x509/x509.go | 2 +- 2 files changed, 16 insertions(+), 4 deletions(-) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index e64fab634cf..bd3771411a9 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -87,6 +87,18 @@ func (hs *serverHandshakeStateTLS13) readClientKEMCiphertext() error { // dAHS <- HKDF.Expand(AHS, "derived", nil) hs.handshakeSecret = hs.suite.deriveSecret(ahs, "derived", nil) + err = c.config.writeKeyLog(keyLogLabelClientKEMAuthenticatedHandshake, hs.clientHello.random, clientSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + + err = c.config.writeKeyLog(keyLogLabelServerKEMAuthenticatedHandshake, hs.clientHello.random, serverSecret) + if err != nil { + c.sendAlert(alertInternalError) + return err + } + return nil } @@ -252,7 +264,7 @@ func (hs *serverHandshakeStateTLS13) readKEMTLSClientFinished() error { clientSecret := hs.suite.deriveSecret(hs.masterSecret, clientApplicationTrafficLabel, hs.transcript) c.in.setTrafficSecret(hs.suite, clientSecret) - err = c.config.writeKeyLog(keyLogLabelClientTraffic, hs.hello.random, clientSecret) + err = c.config.writeKeyLog(keyLogLabelClientTraffic, hs.clientHello.random, clientSecret) if err != nil { c.sendAlert(alertInternalError) return err @@ -277,13 +289,13 @@ func (hs *serverHandshakeStateTLS13) writeKEMTLSServerFinished() error { hs.handshakeTimings.WriteServerFinished = hs.handshakeTimings.elapsedTime() - // TS <- HKDF.Expand(MS, "s ap traffic", CH..SF) + // SATS <- HKDF.Expand(MS, "s ap traffic", CH..SF) hs.trafficSecret = hs.suite.deriveSecret(hs.masterSecret, serverApplicationTrafficLabel, hs.transcript) c.out.setTrafficSecret(hs.suite, hs.trafficSecret) - err := c.config.writeKeyLog(keyLogLabelServerTraffic, hs.hello.random, hs.trafficSecret) + err := c.config.writeKeyLog(keyLogLabelServerTraffic, hs.clientHello.random, hs.trafficSecret) if err != nil { c.sendAlert(alertInternalError) return err diff --git a/src/crypto/x509/x509.go b/src/crypto/x509/x509.go index 2c0d0459d90..24d2dfc97ce 100644 --- a/src/crypto/x509/x509.go +++ b/src/crypto/x509/x509.go @@ -1779,7 +1779,7 @@ func isIA5String(s string) error { } func buildCertExtensions(template *Certificate, subjectIsEmpty bool, authorityKeyId []byte, subjectKeyId []byte) (ret []pkix.Extension, err error) { - ret = make([]pkix.Extension, 10 /* maximum number of elements. */) + ret = make([]pkix.Extension, 11 /* maximum number of elements. */) n := 0 if template.KeyUsage != 0 && From 66b36a9f4767ed65a47ca20a028e563377757ecf Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Mon, 10 May 2021 17:34:08 +0100 Subject: [PATCH 44/69] Test cached info extension --- src/crypto/tls/handshake_client.go | 3 ++- src/crypto/tls/handshake_server_tls13.go | 4 ++-- src/crypto/tls/tls_test.go | 10 ++++++++++ 3 files changed, 14 insertions(+), 3 deletions(-) diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 4481fa0cb7a..2240a625c4b 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -74,7 +74,8 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS if len(config.CachedCert) > 0 { cachedCert = true cachedCertHash = calculateHashCachedInfo(config.CachedCert) - } else if len(config.CachedCertReq) > 0 { + } + if len(config.CachedCertReq) > 0 { cachedCertReq = true cachedCertReqHash = calculateHashCachedInfo(config.CachedCertReq) } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 812d6ca57d7..b1cbd7ef20e 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -181,14 +181,14 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { } if hs.clientHello.cachedInformationCert { - cachedCertHash := calculateHashCachedInfo(hs.clientHello.cachedInformationCertHash) + cachedCertHash := calculateHashCachedInfo(c.config.CachedCert) if bytes.Equal(cachedCertHash, hs.clientHello.cachedInformationCertHash) { hs.hello.cachedInformationCert = true } } if hs.clientHello.cachedInformationCertReq { - cachedCertReqHash := calculateHashCachedInfo(hs.clientHello.cachedInformationCertReqHash) + cachedCertReqHash := calculateHashCachedInfo(c.config.CachedCertReq) if bytes.Equal(cachedCertReqHash, hs.clientHello.cachedInformationCertReqHash) { hs.hello.cachedInformationCertReq = true } diff --git a/src/crypto/tls/tls_test.go b/src/crypto/tls/tls_test.go index 08529cd970a..eb3be3d3c58 100644 --- a/src/crypto/tls/tls_test.go +++ b/src/crypto/tls/tls_test.go @@ -1563,4 +1563,14 @@ func TestChachedInformationTLS13(t *testing.T) { if len(serverState.CertificateReqMessage) < 0 || len(clientState.CertificateReqMessage) < 0 { t.Fatal("Should have saved the Certificate Request Message") } + + serverConfig.CachedCert = serverState.CertificateMessage + serverConfig.CachedCertReq = serverState.CertificateReqMessage + clientConfig.CachedCert = clientState.CertificateMessage + clientConfig.CachedCertReq = clientState.CertificateReqMessage + + _, _, err = testHandshake(t, clientConfig, serverConfig) + if err != nil { + t.Fatal("Should have succedeed") + } } From 63574466acbce5bb32f2e2d9091df4efa1de232f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Mon, 10 May 2021 20:32:38 +0100 Subject: [PATCH 45/69] Add kemtls cached extension --- src/crypto/tls/common.go | 1 + src/crypto/tls/delegated_credentials_test.go | 98 +++++++++++++++----- src/crypto/tls/handshake_client.go | 84 ++++++++++++++++- src/crypto/tls/handshake_messages.go | 29 ++++-- 4 files changed, 178 insertions(+), 34 deletions(-) diff --git a/src/crypto/tls/common.go b/src/crypto/tls/common.go index 0f74c10003d..cba250159f2 100644 --- a/src/crypto/tls/common.go +++ b/src/crypto/tls/common.go @@ -108,6 +108,7 @@ const ( extensionECH uint16 = 0xfe0a // draft-ietf-tls-esni-10 extensionECHIsInner uint16 = 0xda09 // draft-ietf-tls-esni-10 extensionECHOuterExtensions uint16 = 0xfd00 // draft-ietf-tls-esni-10 + extensionPDKKEMTLS uint16 = 0xfd01 // arbitraly chosen ) // TLS signaling cipher suite values diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index fd6c26b89c7..fd6880b3fd7 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -523,7 +523,7 @@ func testClientGetCertificate(cr *CertificateRequestInfo) (*Certificate, error) // Tests the handshake and one round of application data. Returns true if the // connection correctly used a Delegated Credential. -func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string, kemtls bool, pqtls bool) (usedDC bool, usedKEMTLS bool, usedPQTLS bool, err error) { +func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, serverConfig *Config, peer string, kemtls bool, pqtls bool) (usedDC bool, usedKEMTLS bool, usedPQTLS bool, serverState, clientState ConnectionState, err error) { ln := newLocalListener(t) defer ln.Close() @@ -545,15 +545,16 @@ func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, ser serverCh <- server }() + var state ConnectionState client, err := Dial("tcp", ln.Addr().String(), clientConfig) if err != nil { - return false, false, false, err + return false, false, false, state, state, err } defer client.Close() server := <-serverCh if server == nil { - return false, false, false, serverErr + return false, false, false, state, state, serverErr } bufLen := len(clientMsg) @@ -565,43 +566,43 @@ func testConnWithDC(t *testing.T, clientMsg, serverMsg string, clientConfig, ser client.Write([]byte(clientMsg)) n, err := server.Read(buf) if err != nil || n != len(clientMsg) || string(buf[:n]) != clientMsg { - return false, false, false, fmt.Errorf("Server read = %d, buf= %q; want %d, %s", n, buf, len(clientMsg), clientMsg) + return false, false, false, state, state, fmt.Errorf("Server read = %d, buf= %q; want %d, %s", n, buf, len(clientMsg), clientMsg) } server.Write([]byte(serverMsg)) n, err = client.Read(buf) if n != len(serverMsg) || err != nil || string(buf[:n]) != serverMsg { - return false, false, false, fmt.Errorf("Client read = %d, %v, data %q; want %d, nil, %s", n, err, buf, len(serverMsg), serverMsg) + return false, false, false, state, state, fmt.Errorf("Client read = %d, %v, data %q; want %d, nil, %s", n, err, buf, len(serverMsg), serverMsg) } if kemtls { if peer == "server" { - return (server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, nil + return (server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, server.ConnectionState(), client.ConnectionState(), nil } else if peer == "client" { - return (client.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, nil + return (client.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, server.ConnectionState(), client.ConnectionState(), nil } else if peer == "both" { - return (client.verifiedDC != nil && server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, nil + return (client.verifiedDC != nil && server.verifiedDC != nil), (server.didKEMTLS && client.didKEMTLS), false, server.ConnectionState(), client.ConnectionState(), nil } } else if pqtls { if peer == "server" { - return (server.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), nil + return (server.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), state, state, nil } else if peer == "client" { - return (client.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), nil + return (client.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), state, state, nil } else if peer == "both" { - return (client.verifiedDC != nil && server.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), nil + return (client.verifiedDC != nil && server.verifiedDC != nil), false, (server.didPQTLS && client.didPQTLS), state, state, nil } } else { if peer == "server" { - return (server.verifiedDC != nil), false, false, nil + return (server.verifiedDC != nil), false, false, state, state, nil } else if peer == "client" { - return (client.verifiedDC != nil), false, false, nil + return (client.verifiedDC != nil), false, false, state, state, nil } else if peer == "both" { - return (client.verifiedDC != nil && server.verifiedDC != nil), false, false, nil + return (client.verifiedDC != nil && server.verifiedDC != nil), false, false, state, state, nil } } - return false, false, false, nil + return false, false, false, state, state, nil } // Test the server authentication with the Delegated Credential extension. @@ -622,7 +623,7 @@ func TestDCHandshakeServerAuth(t *testing.T) { clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false, false) + usedDC, _, _, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -656,7 +657,7 @@ func TestDCHandshakeClientAuth(t *testing.T) { serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers - usedDC, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false, false) + usedDC, _, _, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with signature algorithm #%d fails: %s", j, test.name, dcCount, err.Error()) @@ -690,7 +691,7 @@ func TestDCHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false, false) + usedDC, _, _, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false, false) if err != nil { t.Errorf("test server and client auth fails: %s", err.Error()) @@ -790,7 +791,7 @@ func TestDCKEMHandshakeServerAuth(t *testing.T) { clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, usedKEMTLS, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true, false) + usedDC, usedKEMTLS, _, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with kem #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -835,7 +836,7 @@ func TestDCKEMHandshakeClientAuth(t *testing.T) { serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers - usedDC, usedKEMTLS, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", true, false) + usedDC, usedKEMTLS, _, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", true, false) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with kem algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -877,7 +878,7 @@ func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, usedKEMTLS, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true, false) + usedDC, usedKEMTLS, _, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true, false) if err != nil { t.Errorf("test server and client auth with kems fails: %s", err.Error()) @@ -892,6 +893,55 @@ func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { } } +// Test server and client authentication with the Delegated Credential extension with kems and cached information. +func TestDCKEMCachedInfoHandshakeClientAndServerAuth(t *testing.T) { + clientMsg := "hello, server" + serverMsg := "hello, client" + + serverConfig := dcTestConfig.Clone() + serverConfig.ClientAuth = RequestClientCert + serverConfig.GetCertificate = testServerGetKEMCertificate + clientConfig := dcTestConfig.Clone() + clientConfig.GetClientCertificate = testClientGetKEMCertificate + clientConfig.KEMTLSEnabled = true + serverConfig.KEMTLSEnabled = true + clientConfig.CurvePreferences = []CurveID{Kyber512} + serverConfig.CurvePreferences = []CurveID{Kyber512} + + serverConfig.SupportDelegatedCredential = true + clientConfig.SupportDelegatedCredential = true + + serverConfig.MaxVersion = VersionTLS13 + clientConfig.MaxVersion = VersionTLS13 + + initDCTest() + + usedDC, usedKEMTLS, _, serverState, clientState, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true, false) + + if err != nil { + t.Errorf("test server and client auth with kems fails: %s", err.Error()) + } + + if usedDC != true { + t.Errorf("test server and client auth with kems does not succeed") + } + + if !usedKEMTLS { + t.Errorf("test server and client auth with kems did not use kemtls") + } + + serverConfig.CachedCert = serverState.CertificateMessage + serverConfig.CachedCertReq = serverState.CertificateReqMessage + clientConfig.CachedCert = clientState.CertificateMessage + clientConfig.CachedCertReq = clientState.CertificateReqMessage + + usedDC, usedKEMTLS, _, _, _, err = testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true, false) + + if err != nil { + t.Errorf("test server and client auth with kems fails: %s", err.Error()) + } +} + var dcPQServerTests = []struct { clientDCSupport bool clientMaxVers uint16 @@ -981,7 +1031,7 @@ func TestDCPQHandshakeServerAuth(t *testing.T) { clientConfig.MaxVersion = test.clientMaxVers serverConfig.MaxVersion = test.serverMaxVers - usedDC, _, usedPQTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false, true) + usedDC, _, usedPQTLS, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", false, true) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with pq #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -1026,7 +1076,7 @@ func TestDCPQHandshakeClientAuth(t *testing.T) { serverConfig.MaxVersion = test.serverMaxVers clientConfig.MaxVersion = test.clientMaxVers - usedDC, _, usedPQTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false, true) + usedDC, _, usedPQTLS, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "server", false, true) if err != nil && test.expectSuccess { t.Errorf("test #%d (%s) with pq algorithm #%d fails: %s", i, test.name, dcCount, err.Error()) @@ -1068,7 +1118,7 @@ func TestDCPQHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, _, usedPQTLS, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false, true) + usedDC, _, usedPQTLS, _, _, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", false, true) if err != nil { t.Errorf("test server and client auth with pqs fails: %s", err.Error()) diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 2240a625c4b..9aa2f7aa669 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -35,6 +35,39 @@ type clientHandshakeState struct { session *ClientSessionState } +// processCachedDelegatedCredentialFromServer unmarshals the cached DelegatedCredential +// offered by the server (if present) and validates it using the peer's +// certificate. +func processCachedDelegatedCredentialFromServer(c *Conn, dcSupport bool, rawDC []byte, certVerifyMsg *certificateVerifyMsg) error { + var dc *DelegatedCredential + var err error + if rawDC != nil { + // Assert that support for the DC extension was indicated by the client. + if !dcSupport { + return errors.New("tls: got Delegated Credential extension without indication") + } + + dc, err = unmarshalDelegatedCredential(rawDC) + if err != nil { + return fmt.Errorf("tls: Delegated Credential: %s", err) + } + + if !isSupportedSignatureAlgorithm(dc.cred.expCertVerfAlgo, supportedSignatureAlgorithmsDC) { + return errors.New("tls: Delegated Credential used with invalid signature algorithm") + } + } + + if dc != nil { + if !dc.Validate(c.peerCertificates[0], false, c.config.time(), certVerifyMsg) { + return errors.New("tls: invalid Delegated Credential") + } + } + + c.verifiedDC = dc + + return nil +} + // defines the private part to the handshake keyshares type clientKeySharePrivate interface{} @@ -69,12 +102,57 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS clientHelloVersion = VersionTLS12 } - var cachedCert, cachedCertReq bool + var cachedCert, cachedCertReq, pdkKEMTLS bool + var ciphertextKEMTLS []byte var cachedCertHash, cachedCertReqHash []byte if len(config.CachedCert) > 0 { cachedCert = true cachedCertHash = calculateHashCachedInfo(config.CachedCert) + + if config.KEMTLSEnabled { + certMsg := new(certificateMsgTLS13) + data := append([]byte(nil), config.CachedCert...) + + if !certMsg.unmarshal(data) { + return nil, nil, errors.New("tls: wrong cached certificates message") + } + + if len(certMsg.certificate.Certificate) == 0 { + c.sendAlert(alertDecodeError) + return nil, nil, errors.New("tls: wrong cached certificates message") + } + // do we need to write this? + //hs.transcript.Write(certMsg.marshal()) + + c.scts = certMsg.certificate.SignedCertificateTimestamps + c.ocspResponse = certMsg.certificate.OCSPStaple + + if err := c.verifyServerCertificate(certMsg.certificate.Certificate); err != nil { + return nil, nil, err + } + + if isKEMTLSAuthUsed(c.peerCertificates[0], certMsg.certificate) { + if certMsg.delegatedCredential { + if err := processCachedDelegatedCredentialFromServer(c, config.SupportDelegatedCredential, certMsg.certificate.DelegatedCredential, nil); err != nil { + return nil, nil, err + } + } + pk, ok := c.verifiedDC.cred.publicKey.(*kem.PublicKey) + if !ok { + return nil, nil, errors.New("tls: invalid key") + } + + ct, _, err := kem.Encapsulate(c.config.rand(), pk) + if err != nil { + return nil, nil, err + } + + pdkKEMTLS = true + ciphertextKEMTLS = ct + } + } } + if len(config.CachedCertReq) > 0 { cachedCertReq = true cachedCertReqHash = calculateHashCachedInfo(config.CachedCertReq) @@ -97,6 +175,8 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS cachedInformationCertHash: cachedCertHash, cachedInformationCertReq: cachedCertReq, cachedInformationCertReqHash: cachedCertReqHash, + pdkKEMTLS: pdkKEMTLS, + ciphertextKEMTLS: ciphertextKEMTLS, } if c.handshakes > 0 { @@ -155,7 +235,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } keyShares = append(keyShares, keyShare{group: curveID, data: params.PublicKey()}) keySharePrivates = append(keySharePrivates, params) - // TODO: EXP + // TODO: add EXP name } else if config.KEMTLSEnabled || config.PQTLSEnabled { var haveECDHE, haveKEM bool diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index ebf92aa631e..af608e27372 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -89,6 +89,8 @@ type clientHelloMsg struct { cachedInformationCertHash []byte cachedInformationCertReq bool cachedInformationCertReqHash []byte + pdkKEMTLS bool + ciphertextKEMTLS []byte alpnProtocols []string scts bool supportedVersions []uint16 @@ -239,17 +241,21 @@ func (m *clientHelloMsg) marshal() []byte { b.AddUint16(extensionCachedInfo) b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { b.AddUint8(1) // CachedInformationType: cert - b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes([]byte(m.cachedInformationCertHash)) - }) + addBytesWithLength(b, m.cachedInformationCertHash, 32) if m.cachedInformationCertReq { b.AddUint8(2) // CachedInformationType: cert_req - b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { - b.AddBytes([]byte(m.cachedInformationCertReqHash)) - }) + addBytesWithLength(b, m.cachedInformationCertReqHash, 32) } }) } + if m.pdkKEMTLS { + b.AddUint16(extensionPDKKEMTLS) + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddUint16LengthPrefixed(func(b *cryptobyte.Builder) { + b.AddBytes(m.ciphertextKEMTLS) + }) + }) + } if len(m.alpnProtocols) > 0 { // RFC 7301, Section 3.1 b.AddUint16(extensionALPN) @@ -603,7 +609,7 @@ func (m *clientHelloMsg) unmarshal(data []byte) bool { // RFC 7924, Section 4 var cachedType uint8 if extData.ReadUint8(&cachedType) { - if readUint16LengthPrefixed(&extData, &m.cachedInformationCertHash) { + if extData.ReadBytes(&m.cachedInformationCertHash, 32) { m.cachedInformationCert = true } } else { @@ -612,13 +618,20 @@ func (m *clientHelloMsg) unmarshal(data []byte) bool { if !extData.Empty() { if extData.ReadUint8(&cachedType) { - if readUint16LengthPrefixed(&extData, &m.cachedInformationCertReqHash) { + if extData.ReadBytes(&m.cachedInformationCertReqHash, 32) { m.cachedInformationCertReq = true } } else { return false } } + case extensionPDKKEMTLS: + // RFC 8446, Section 4.2.2 + if !readUint16LengthPrefixed(&extData, &m.ciphertextKEMTLS) || + len(m.ciphertextKEMTLS) == 0 { + return false + } + m.pdkKEMTLS = true case extensionKeyShare: // RFC 8446, Section 4.2.8 var clientShares cryptobyte.String From 4f842bb916e734183983753c99c94d4b4e5dca13 Mon Sep 17 00:00:00 2001 From: armfazh Date: Mon, 10 May 2021 15:11:19 -0700 Subject: [PATCH 46/69] Adds stringer function for SignatureAlgorithm. --- src/crypto/tls/common_string.go | 63 ++++++++++++++------------------- 1 file changed, 27 insertions(+), 36 deletions(-) diff --git a/src/crypto/tls/common_string.go b/src/crypto/tls/common_string.go index 238108811f2..2eedfa716e2 100644 --- a/src/crypto/tls/common_string.go +++ b/src/crypto/tls/common_string.go @@ -18,49 +18,40 @@ func _() { _ = x[ECDSAWithP384AndSHA384-1283] _ = x[ECDSAWithP521AndSHA512-1539] _ = x[Ed25519-2055] + _ = x[Ed448-2056] _ = x[PKCS1WithSHA1-513] _ = x[ECDSAWithSHA1-515] + _ = x[KEMTLSWithSIKEp434-65024] + _ = x[KEMTLSWithKyber512-65025] + _ = x[PQTLSWithDilithium3-65121] + _ = x[PQTLSWithDilithium4-65122] } -const ( - _SignatureScheme_name_0 = "PKCS1WithSHA1" - _SignatureScheme_name_1 = "ECDSAWithSHA1" - _SignatureScheme_name_2 = "PKCS1WithSHA256" - _SignatureScheme_name_3 = "ECDSAWithP256AndSHA256" - _SignatureScheme_name_4 = "PKCS1WithSHA384" - _SignatureScheme_name_5 = "ECDSAWithP384AndSHA384" - _SignatureScheme_name_6 = "PKCS1WithSHA512" - _SignatureScheme_name_7 = "ECDSAWithP521AndSHA512" - _SignatureScheme_name_8 = "PSSWithSHA256PSSWithSHA384PSSWithSHA512Ed25519" -) +const _SignatureScheme_name = "PKCS1WithSHA1ECDSAWithSHA1PKCS1WithSHA256ECDSAWithP256AndSHA256PKCS1WithSHA384ECDSAWithP384AndSHA384PKCS1WithSHA512ECDSAWithP521AndSHA512PSSWithSHA256PSSWithSHA384PSSWithSHA512Ed25519Ed448KEMTLSWithSIKEp434KEMTLSWithKyber512PQTLSWithDilithium3PQTLSWithDilithium4" -var ( - _SignatureScheme_index_8 = [...]uint8{0, 13, 26, 39, 46} -) +var _SignatureScheme_map = map[SignatureScheme]string{ + 513: _SignatureScheme_name[0:13], + 515: _SignatureScheme_name[13:26], + 1025: _SignatureScheme_name[26:41], + 1027: _SignatureScheme_name[41:63], + 1281: _SignatureScheme_name[63:78], + 1283: _SignatureScheme_name[78:100], + 1537: _SignatureScheme_name[100:115], + 1539: _SignatureScheme_name[115:137], + 2052: _SignatureScheme_name[137:150], + 2053: _SignatureScheme_name[150:163], + 2054: _SignatureScheme_name[163:176], + 2055: _SignatureScheme_name[176:183], + 2056: _SignatureScheme_name[183:188], + 65024: _SignatureScheme_name[188:206], + 65025: _SignatureScheme_name[206:224], + 65121: _SignatureScheme_name[224:243], + 65122: _SignatureScheme_name[243:262], +} func (i SignatureScheme) String() string { - switch { - case i == 513: - return _SignatureScheme_name_0 - case i == 515: - return _SignatureScheme_name_1 - case i == 1025: - return _SignatureScheme_name_2 - case i == 1027: - return _SignatureScheme_name_3 - case i == 1281: - return _SignatureScheme_name_4 - case i == 1283: - return _SignatureScheme_name_5 - case i == 1537: - return _SignatureScheme_name_6 - case i == 1539: - return _SignatureScheme_name_7 - case 2052 <= i && i <= 2055: - i -= 2052 - return _SignatureScheme_name_8[_SignatureScheme_index_8[i]:_SignatureScheme_index_8[i+1]] - default: - return "SignatureScheme(" + strconv.FormatInt(int64(i), 10) + ")" + if str, ok := _SignatureScheme_map[i]; ok { + return str } } func _() { From 80c8ef95d962a218a7194f4972868a72fc248d94 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 11 May 2021 00:48:51 +0100 Subject: [PATCH 47/69] Add pdk kemtls --- src/crypto/tls/delegated_credentials_test.go | 5 +- src/crypto/tls/ech.go | 2 +- src/crypto/tls/handshake_client.go | 48 +++++----- src/crypto/tls/handshake_client_kemtls.go | 67 +++++++------- src/crypto/tls/handshake_client_tls13.go | 11 +++ src/crypto/tls/handshake_messages.go | 7 ++ src/crypto/tls/handshake_server_kemtls.go | 61 +++++++------ src/crypto/tls/handshake_server_tls13.go | 95 +++++++++++++++++++- 8 files changed, 211 insertions(+), 85 deletions(-) diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index fd6880b3fd7..2275a81d10b 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -894,12 +894,11 @@ func TestDCKEMHandshakeClientAndServerAuth(t *testing.T) { } // Test server and client authentication with the Delegated Credential extension with kems and cached information. -func TestDCKEMCachedInfoHandshakeClientAndServerAuth(t *testing.T) { +func TestDCKEMCachedInfoHandshakeServerAuth(t *testing.T) { clientMsg := "hello, server" serverMsg := "hello, client" serverConfig := dcTestConfig.Clone() - serverConfig.ClientAuth = RequestClientCert serverConfig.GetCertificate = testServerGetKEMCertificate clientConfig := dcTestConfig.Clone() clientConfig.GetClientCertificate = testClientGetKEMCertificate @@ -916,7 +915,7 @@ func TestDCKEMCachedInfoHandshakeClientAndServerAuth(t *testing.T) { initDCTest() - usedDC, usedKEMTLS, _, serverState, clientState, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true, false) + usedDC, usedKEMTLS, _, serverState, clientState, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true, false) if err != nil { t.Errorf("test server and client auth with kems fails: %s", err.Error()) diff --git a/src/crypto/tls/ech.go b/src/crypto/tls/ech.go index d82155dc9d1..05ad0a303b2 100644 --- a/src/crypto/tls/ech.go +++ b/src/crypto/tls/ech.go @@ -125,7 +125,7 @@ func (c *Conn) echOfferOrGrease(helloBase *clientHelloMsg) (hello, helloInner *c // copying "key_share", "random", and "sesion_id" from helloBase, setting // "server_name" to be the client-facing server, and adding the // "encrypted_client_hello" extension. - hello, _, err = c.makeClientHello(config.MinVersion) + hello, _, _, err = c.makeClientHello(config.MinVersion) if err != nil { return nil, nil, fmt.Errorf("tls: ech: %s", err) } diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 9aa2f7aa669..827437d34a7 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -71,27 +71,27 @@ func processCachedDelegatedCredentialFromServer(c *Conn, dcSupport bool, rawDC [ // defines the private part to the handshake keyshares type clientKeySharePrivate interface{} -func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeySharePrivate, error) { +func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeySharePrivate, []byte, error) { config := c.config if len(config.ServerName) == 0 && !config.InsecureSkipVerify { - return nil, nil, errors.New("tls: either ServerName or InsecureSkipVerify must be specified in the tls.Config") + return nil, nil, nil, errors.New("tls: either ServerName or InsecureSkipVerify must be specified in the tls.Config") } nextProtosLength := 0 for _, proto := range config.NextProtos { if l := len(proto); l == 0 || l > 255 { - return nil, nil, errors.New("tls: invalid NextProtos value") + return nil, nil, nil, errors.New("tls: invalid NextProtos value") } else { nextProtosLength += 1 + l } } if nextProtosLength > 0xffff { - return nil, nil, errors.New("tls: NextProtos values too large") + return nil, nil, nil, errors.New("tls: NextProtos values too large") } supportedVersions := config.supportedVersionsFromMin(minVersion) if len(supportedVersions) == 0 { - return nil, nil, errors.New("tls: no supported versions satisfy MinVersion and MaxVersion") + return nil, nil, nil, errors.New("tls: no supported versions satisfy MinVersion and MaxVersion") } clientHelloVersion := config.maxSupportedVersion() @@ -103,7 +103,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS } var cachedCert, cachedCertReq, pdkKEMTLS bool - var ciphertextKEMTLS []byte + var ciphertextKEMTLS, sharedSecret []byte var cachedCertHash, cachedCertReqHash []byte if len(config.CachedCert) > 0 { cachedCert = true @@ -114,12 +114,12 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS data := append([]byte(nil), config.CachedCert...) if !certMsg.unmarshal(data) { - return nil, nil, errors.New("tls: wrong cached certificates message") + return nil, nil, nil, errors.New("tls: wrong cached certificates message") } if len(certMsg.certificate.Certificate) == 0 { c.sendAlert(alertDecodeError) - return nil, nil, errors.New("tls: wrong cached certificates message") + return nil, nil, nil, errors.New("tls: wrong cached certificates message") } // do we need to write this? //hs.transcript.Write(certMsg.marshal()) @@ -128,23 +128,25 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS c.ocspResponse = certMsg.certificate.OCSPStaple if err := c.verifyServerCertificate(certMsg.certificate.Certificate); err != nil { - return nil, nil, err + return nil, nil, nil, err } if isKEMTLSAuthUsed(c.peerCertificates[0], certMsg.certificate) { if certMsg.delegatedCredential { if err := processCachedDelegatedCredentialFromServer(c, config.SupportDelegatedCredential, certMsg.certificate.DelegatedCredential, nil); err != nil { - return nil, nil, err + return nil, nil, nil, err } } pk, ok := c.verifiedDC.cred.publicKey.(*kem.PublicKey) if !ok { - return nil, nil, errors.New("tls: invalid key") + return nil, nil, nil, errors.New("tls: invalid key") } - ct, _, err := kem.Encapsulate(c.config.rand(), pk) + var err error + var ct []byte + sharedSecret, ct, err = kem.Encapsulate(c.config.rand(), pk) if err != nil { - return nil, nil, err + return nil, nil, nil, err } pdkKEMTLS = true @@ -203,14 +205,14 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS _, err := io.ReadFull(config.rand(), hello.random) if err != nil { - return nil, nil, errors.New("tls: short read from Rand: " + err.Error()) + return nil, nil, nil, errors.New("tls: short read from Rand: " + err.Error()) } // A random session ID is used to detect when the server accepted a ticket // and is resuming a session (see RFC 5077). In TLS 1.3, it's always set as // a compatibility measure (see RFC 8446, Section 4.1.2). if _, err := io.ReadFull(config.rand(), hello.sessionId); err != nil { - return nil, nil, errors.New("tls: short read from Rand: " + err.Error()) + return nil, nil, nil, errors.New("tls: short read from Rand: " + err.Error()) } if hello.vers >= VersionTLS12 { @@ -227,11 +229,11 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS if !config.KEMTLSEnabled && !config.PQTLSEnabled { curveID := config.curvePreferences()[0] if _, ok := curveForCurveID(curveID); curveID != X25519 && !ok { - return nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") + return nil, nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") } params, err = generateECDHEParameters(config.rand(), curveID) if err != nil { - return nil, nil, err + return nil, nil, nil, err } keyShares = append(keyShares, keyShare{group: curveID, data: params.PublicKey()}) keySharePrivates = append(keySharePrivates, params) @@ -242,13 +244,13 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS // loop over supported curves and kems until there is a KEM and an ECDHE curve for _, curveID := range config.curvePreferences() { if _, ok := curveForCurveID(curveID); curveID != X25519 && !curveID.isKEM() && !ok { - return nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") + return nil, nil, nil, errors.New("tls: CurvePreferences includes unsupported curve") } if !curveID.isKEM() && !haveECDHE { params, err = generateECDHEParameters(config.rand(), curveID) if err != nil { - return nil, nil, err + return nil, nil, nil, err } keyShares = append(keyShares, keyShare{group: curveID, data: params.PublicKey()}) @@ -258,7 +260,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS kemID := kem.ID(curveID) pk, sk, err := kem.GenerateKey(config.rand(), kemID) if err != nil { - return nil, nil, err + return nil, nil, nil, err } keyShares = append(keyShares, keyShare{group: curveID, data: pk.PublicKey}) @@ -277,7 +279,7 @@ func (c *Conn) makeClientHello(minVersion uint16) (*clientHelloMsg, []clientKeyS hello.supportedSignatureAlgorithmsDC = supportedSignatureAlgorithmsDC } - return hello, keySharePrivates, nil + return hello, keySharePrivates, sharedSecret, nil } func (c *Conn) clientHandshake() (err error) { @@ -299,7 +301,7 @@ func (c *Conn) clientHandshake() (err error) { minVersion = VersionTLS13 } - helloBase, keysharePrivates, err := c.makeClientHello(minVersion) + helloBase, keysharePrivates, ssKEMTLS, err := c.makeClientHello(minVersion) if err != nil { return err } @@ -374,6 +376,8 @@ func (c *Conn) clientHandshake() (err error) { earlySecret: earlySecret, binderKey: binderKey, handshakeTimings: handshakeTimings, + ssKEMTLS: ssKEMTLS, + pdkKEMTLS: hello.pdkKEMTLS, } // In TLS 1.3, session tickets are delivered after the handshake. diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index c69e6c30fdf..211a59480eb 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -53,45 +53,50 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { c := hs.c var pk *kem.PublicKey var ok bool + var ahs []byte + + if !(hs.pdkKEMTLS && hs.keyKEMShare) { + if c.verifiedDC != nil && c.verifiedDC.cred.expCertVerfAlgo.isKEMTLS() { + pk, ok = c.verifiedDC.cred.publicKey.(*kem.PublicKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: invalid key") + } + } else { + pk, ok = c.peerCertificates[0].PublicKey.(*kem.PublicKey) + if !ok { + c.sendAlert(alertInternalError) + return errors.New("tls: invalid key") + } + } - if c.verifiedDC != nil && c.verifiedDC.cred.expCertVerfAlgo.isKEMTLS() { - pk, ok = c.verifiedDC.cred.publicKey.(*kem.PublicKey) - if !ok { - c.sendAlert(alertInternalError) - return errors.New("tls: invalid key") + ss, ct, err := kem.Encapsulate(hs.c.config.rand(), pk) + if err != nil { + return err } - } else { - pk, ok = c.peerCertificates[0].PublicKey.(*kem.PublicKey) - if !ok { - c.sendAlert(alertInternalError) - return errors.New("tls: invalid key") + + msg := clientKeyExchangeMsg{ + ciphertext: ct, } - } - ss, ct, err := kem.Encapsulate(hs.c.config.rand(), pk) - if err != nil { - return err - } + _, err = c.writeRecord(recordTypeHandshake, msg.marshal()) + if err != nil { + return err + } - msg := clientKeyExchangeMsg{ - ciphertext: ct, - } + _, err = hs.transcript.Write(msg.marshal()) + if err != nil { + return err + } - _, err = c.writeRecord(recordTypeHandshake, msg.marshal()) - if err != nil { - return err - } + hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() - _, err = hs.transcript.Write(msg.marshal()) - if err != nil { - return err + // AHS <- HKDF.Extract(dHS, ss_s) + ahs = hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) + } else { + ahs = hs.suite.extract(hs.ssKEMTLS, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) } - hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() - - // AHS <- HKDF.Extract(dHS, ss_s) - ahs := hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) - // CAHTS <- HKDF.Expand(AHS, "c ahs traffic", CH..CKC) clientSecret := hs.suite.deriveSecret(ahs, clientAuthenticatedHandshakeTrafficLabel, hs.transcript) @@ -104,7 +109,7 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { // dAHS <- HKDF.Expand(AHS, "derived", nil) hs.handshakeSecret = hs.suite.deriveSecret(ahs, "derived", nil) - err = c.config.writeKeyLog(keyLogLabelClientKEMAuthenticatedHandshake, hs.hello.random, clientSecret) + err := c.config.writeKeyLog(keyLogLabelClientKEMAuthenticatedHandshake, hs.hello.random, clientSecret) if err != nil { c.sendAlert(alertInternalError) return err diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index e9246ceb4ee..29ec35f9d1f 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -36,6 +36,8 @@ type clientHandshakeStateTLS13 struct { keyKEMShare bool isKEMTLS bool + pdkKEMTLS bool + ssKEMTLS []byte isClientAuthKEMTLS bool certKEMTLS *Certificate // only for KEMTLS @@ -435,6 +437,10 @@ func (hs *clientHandshakeStateTLS13) processServerHello() error { return errors.New("tls: server did not send a key share") } + if hs.serverHello.pdkKEMTLS && !hs.hello.pdkKEMTLS { + return errors.New("tls: server using pre-shared KEMTLS and client not") + } + var found bool for _, keyShare := range hs.keyShare { if ecdheParams, ok := keyShare.(ecdheParameters); ok { @@ -653,6 +659,11 @@ func isPQTLSAuthUsed(peerCertificate *x509.Certificate, cert Certificate) bool { func (hs *clientHandshakeStateTLS13) readServerCertificate() error { c := hs.c + if hs.pdkKEMTLS && hs.keyKEMShare { + hs.isKEMTLS = true + return nil + } + // Either a PSK or a certificate is always used, but not both. // See RFC 8446, Section 4.1.1. if hs.usingPSK { diff --git a/src/crypto/tls/handshake_messages.go b/src/crypto/tls/handshake_messages.go index af608e27372..f98c89de9fb 100644 --- a/src/crypto/tls/handshake_messages.go +++ b/src/crypto/tls/handshake_messages.go @@ -718,6 +718,7 @@ type serverHelloMsg struct { supportedPoints []uint8 cachedInformationCert bool cachedInformationCertReq bool + pdkKEMTLS bool // HelloRetryRequest extensions cookie []byte @@ -837,6 +838,10 @@ func (m *serverHelloMsg) marshal() []byte { } }) } + if m.pdkKEMTLS { + b.AddUint16(extensionPDKKEMTLS) + b.AddUint16(0) // empty extension_data + } extensionsPresent = len(b.BytesOrPanic()) > 2 }) @@ -963,6 +968,8 @@ func (m *serverHelloMsg) unmarshal(data []byte) bool { return false } } + case extensionPDKKEMTLS: + m.pdkKEMTLS = true default: // Ignore unknown extensions. continue diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index bd3771411a9..00476527f5a 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -42,39 +42,46 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { func (hs *serverHandshakeStateTLS13) readClientKEMCiphertext() error { c := hs.c - var sk *kem.PrivateKey - var ok, ok1 bool - sk, ok = hs.cert.PrivateKey.(*kem.PrivateKey) - if !ok { - sk, ok1 = hs.cert.DelegatedCredentialPrivateKey.(*kem.PrivateKey) - if !ok1 { - c.sendAlert(alertInternalError) - return errors.New("crypto/tls: private key unexpectedly of wrong type") + var ahs []byte + + if !(hs.pdkKEMTLS && hs.keyKEMShare) { + var sk *kem.PrivateKey + var ok, ok1 bool + sk, ok = hs.cert.PrivateKey.(*kem.PrivateKey) + if !ok { + sk, ok1 = hs.cert.DelegatedCredentialPrivateKey.(*kem.PrivateKey) + if !ok1 { + c.sendAlert(alertInternalError) + return errors.New("crypto/tls: private key unexpectedly of wrong type") + } } - } - msg, err := c.readHandshake() - if err != nil { - return err - } + msg, err := c.readHandshake() + if err != nil { + return err + } - kexMsg, ok := msg.(*clientKeyExchangeMsg) - if !ok { - c.sendAlert(alertUnexpectedMessage) - return unexpectedMessageError(kexMsg, msg) - } + kexMsg, ok := msg.(*clientKeyExchangeMsg) + if !ok { + c.sendAlert(alertUnexpectedMessage) + return unexpectedMessageError(kexMsg, msg) + } - hs.transcript.Write(kexMsg.marshal()) - hs.handshakeTimings.ReadKEMCiphertext = hs.handshakeTimings.elapsedTime() + hs.transcript.Write(kexMsg.marshal()) + hs.handshakeTimings.ReadKEMCiphertext = hs.handshakeTimings.elapsedTime() - ss, err := kem.Decapsulate(sk, kexMsg.ciphertext) - if err != nil { - return err + ss, err := kem.Decapsulate(sk, kexMsg.ciphertext) + if err != nil { + return err + } + + // derive AHS + // AHS <- HKDF.Extract(dHS, ss_s) + ahs = hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) + } else { + ahs = hs.suite.extract(hs.ssKEMTLS, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) } - // derive AHS - // AHS <- HKDF.Extract(dHS, ss_s) - ahs := hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) // CAHTS <- HKDF.Expand(AHS, "c ahs traffic", CH..CKC) clientSecret := hs.suite.deriveSecret(ahs, clientAuthenticatedHandshakeTrafficLabel, hs.transcript) @@ -87,7 +94,7 @@ func (hs *serverHandshakeStateTLS13) readClientKEMCiphertext() error { // dAHS <- HKDF.Expand(AHS, "derived", nil) hs.handshakeSecret = hs.suite.deriveSecret(ahs, "derived", nil) - err = c.config.writeKeyLog(keyLogLabelClientKEMAuthenticatedHandshake, hs.clientHello.random, clientSecret) + err := c.config.writeKeyLog(keyLogLabelClientKEMAuthenticatedHandshake, hs.clientHello.random, clientSecret) if err != nil { c.sendAlert(alertInternalError) return err diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index b1cbd7ef20e..57b27085ec7 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -32,6 +32,8 @@ type serverHandshakeStateTLS13 struct { keyKEMShare bool isKEMTLS bool + pdkKEMTLS bool + ssKEMTLS []byte isClientAuthKEMTLS bool suite *cipherSuiteTLS13 @@ -183,7 +185,89 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { if hs.clientHello.cachedInformationCert { cachedCertHash := calculateHashCachedInfo(c.config.CachedCert) if bytes.Equal(cachedCertHash, hs.clientHello.cachedInformationCertHash) { - hs.hello.cachedInformationCert = true + if c.config.KEMTLSEnabled { + // signature_algorithms is required in TLS 1.3. See RFC 8446, Section 4.2.3. + if len(hs.clientHello.supportedSignatureAlgorithms) == 0 { + return c.sendAlert(alertMissingExtension) + } + + certificate, err := c.config.getCertificate(clientHelloInfo(c, hs.clientHello)) + if err != nil { + if err == errNoCertificates { + c.sendAlert(alertUnrecognizedName) + } else { + c.sendAlert(alertInternalError) + } + return err + } + + hs.sigAlg, err = selectSignatureScheme(c.vers, certificate, hs.clientHello.supportedSignatureAlgorithms) + if err != nil { + // getCertificate returned a certificate that is unsupported or + // incompatible with the client's signature algorithms. + c.sendAlert(alertHandshakeFailure) + return err + } + + hs.cert = certificate + + if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 { + delegatedCredentialPair, err := getDelegatedCredential(clientHelloInfo(c, hs.clientHello), hs.cert) + if err != nil { + // a Delegated Credential was not found. Fallback to the certificate. + return nil + } + + if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { + // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. + delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal() + if err != nil { + // invalid Delegated Credential. Fallback to the certificate. + return nil + } + + hs.sigAlg, err = selectSignatureSchemeDC(c.vers, delegatedCredentialPair.DC, hs.clientHello.supportedSignatureAlgorithmsDC) + if err != nil { + // the Delegated Credential is unsupported or + // incompatible with the client's signature algorithms. + // Fallback to the certificate. + return nil + } + + hs.cert.DelegatedCredentialPrivateKey = delegatedCredentialPair.PrivateKey + hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw + + certMsg := new(certificateMsgTLS13) + + certMsg.certificate = *hs.cert + certMsg.scts = hs.clientHello.scts && len(hs.cert.SignedCertificateTimestamps) > 0 + certMsg.ocspStapling = hs.clientHello.ocspStapling && len(hs.cert.OCSPStaple) > 0 + certMsg.delegatedCredential = hs.clientHello.delegatedCredentialSupported && len(hs.cert.DelegatedCredential) > 0 + + certMsgRaw := certMsg.marshal() + + if bytes.Equal(certMsgRaw, c.config.CachedCert) { + hs.hello.cachedInformationCert = true + } + + if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { + sk, ok1 := hs.cert.DelegatedCredentialPrivateKey.(*kem.PrivateKey) + if !ok1 { + c.sendAlert(alertInternalError) + return errors.New("crypto/tls: private key unexpectedly of wrong type") + } + + ss, err := kem.Decapsulate(sk, hs.clientHello.ciphertextKEMTLS) + if err != nil { + return err + } + hs.pdkKEMTLS = true + hs.ssKEMTLS = ss + hs.hello.pdkKEMTLS = true + } + } + } + } } } @@ -524,6 +608,10 @@ func (hs *serverHandshakeStateTLS13) pickCertificate() error { return nil } + if hs.pdkKEMTLS && hs.keyKEMShare { + return nil + } + // signature_algorithms is required in TLS 1.3. See RFC 8446, Section 4.2.3. if len(hs.clientHello.supportedSignatureAlgorithms) == 0 { return c.sendAlert(alertMissingExtension) @@ -833,6 +921,11 @@ func (hs *serverHandshakeStateTLS13) sendServerCertificate() error { return nil } + if hs.pdkKEMTLS && hs.keyKEMShare { + hs.isKEMTLS = true + return nil + } + if hs.requestClientCert() || hs.requestClientKEMCert() { // Request a client certificate certReq := new(certificateRequestMsgTLS13) From 0cd8a4c4bf2ff07391e292641cda81740af5de8d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 11 May 2021 01:00:36 +0100 Subject: [PATCH 48/69] Small fix --- src/crypto/tls/common_string.go | 2 ++ 1 file changed, 2 insertions(+) diff --git a/src/crypto/tls/common_string.go b/src/crypto/tls/common_string.go index 2eedfa716e2..ed302663a68 100644 --- a/src/crypto/tls/common_string.go +++ b/src/crypto/tls/common_string.go @@ -53,7 +53,9 @@ func (i SignatureScheme) String() string { if str, ok := _SignatureScheme_map[i]; ok { return str } + return "SignatureScheme(" + strconv.FormatInt(int64(i), 10) + ")" } + func _() { // An "invalid array index" compiler error signifies that the constant values have changed. // Re-run the stringer command to generate them again. From 1cb013265bcbb027d21183597ae36c2bb2a9d601 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 11 May 2021 01:02:43 +0100 Subject: [PATCH 49/69] Add these fixes as well --- src/crypto/tls/delegated_credentials_test.go | 10 +++++++++- 1 file changed, 9 insertions(+), 1 deletion(-) diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 2275a81d10b..6fa8f3d2501 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -934,11 +934,19 @@ func TestDCKEMCachedInfoHandshakeServerAuth(t *testing.T) { clientConfig.CachedCert = clientState.CertificateMessage clientConfig.CachedCertReq = clientState.CertificateReqMessage - usedDC, usedKEMTLS, _, _, _, err = testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "both", true, false) + usedDC, usedKEMTLS, _, _, _, err = testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true, false) if err != nil { t.Errorf("test server and client auth with kems fails: %s", err.Error()) } + + if usedDC != true { + t.Errorf("test server and client auth with kems does not succeed") + } + + if !usedKEMTLS { + t.Errorf("test server and client auth with kems did not use kemtls") + } } var dcPQServerTests = []struct { From fe124d16fa9aa90152c78a2cc12a7eb25963eca6 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 11 May 2021 14:24:04 +0100 Subject: [PATCH 50/69] Printing to check --- src/crypto/tls/handshake_server_kemtls.go | 3 +++ src/crypto/tls/handshake_server_tls13.go | 2 ++ 2 files changed, 5 insertions(+) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 00476527f5a..558c367841b 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -4,11 +4,13 @@ import ( "crypto/hmac" "crypto/kem" "errors" + "fmt" "sync/atomic" ) func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { c := hs.c + fmt.Println("\n Testing here") if err := hs.readClientKEMCiphertext(); err != nil { return err @@ -34,6 +36,7 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { } c.handleCFEvent(hs.handshakeTimings) + fmt.Printf("\n timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 57b27085ec7..ab2bc79663b 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -135,6 +135,8 @@ func (hs *serverHandshakeStateTLS13) handshake() error { } c.handleCFEvent(hs.handshakeTimings) + + fmt.Printf("\n timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil From 21b5491703cf501260a69d7cc1ba01139393ba9e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 11 May 2021 15:20:36 +0100 Subject: [PATCH 51/69] More printing --- src/crypto/tls/handshake_client_kemtls.go | 4 ++++ src/crypto/tls/handshake_client_tls13.go | 3 +++ src/crypto/tls/handshake_server_kemtls.go | 4 +++- src/crypto/tls/handshake_server_tls13.go | 4 +++- 4 files changed, 13 insertions(+), 2 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 211a59480eb..3485245bf16 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -8,6 +8,7 @@ import ( "crypto/hmac" "crypto/kem" "errors" + "fmt" "sync/atomic" ) @@ -44,6 +45,9 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { } c.handleCFEvent(hs.handshakeTimings) + fmt.Printf("\n %v kemtls did kemtls? \n", c.didKEMTLS) + fmt.Printf("\n %v kemtls client time \n", c.config.time()) + fmt.Printf("\n kemtls client timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 29ec35f9d1f..e257d8e2427 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -167,6 +167,9 @@ func (hs *clientHandshakeStateTLS13) handshake() error { } c.handleCFEvent(hs.handshakeTimings) + fmt.Printf("\n %v tls1.3 client time \n", c.config.time()) + fmt.Printf("\n %v tls1.3 did pqtls? \n", c.didPQTLS) + fmt.Printf("\n tls1.3 client timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 558c367841b..5e49ce08ad3 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -36,7 +36,9 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { } c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n timings %v \n", hs.handshakeTimings) + fmt.Printf("\n %v kemtls did kemtls? \n", c.didKEMTLS) + fmt.Printf("\n %v kemtls server time \n", c.config.time()) + fmt.Printf("\n kemtls server timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index ab2bc79663b..0433ed36e4b 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -136,7 +136,9 @@ func (hs *serverHandshakeStateTLS13) handshake() error { c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n timings %v \n", hs.handshakeTimings) + fmt.Printf("\n %v tls1.3 server time \n", c.config.time()) + fmt.Printf("\n %v tls1.3 did pqtls? \n", c.didPQTLS) + fmt.Printf("\n tls1.3 server timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil From f785ff6d2818a74a99ef7431a08fe6d839fdfb73 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 11 May 2021 18:02:48 +0100 Subject: [PATCH 52/69] Use the cert itself --- src/crypto/tls/handshake_server_tls13.go | 102 +++++++++++------------ 1 file changed, 50 insertions(+), 52 deletions(-) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 0433ed36e4b..21db36a99ba 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -187,72 +187,70 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { } if hs.clientHello.cachedInformationCert { - cachedCertHash := calculateHashCachedInfo(c.config.CachedCert) - if bytes.Equal(cachedCertHash, hs.clientHello.cachedInformationCertHash) { - if c.config.KEMTLSEnabled { - // signature_algorithms is required in TLS 1.3. See RFC 8446, Section 4.2.3. - if len(hs.clientHello.supportedSignatureAlgorithms) == 0 { - return c.sendAlert(alertMissingExtension) - } + if c.config.KEMTLSEnabled { + // signature_algorithms is required in TLS 1.3. See RFC 8446, Section 4.2.3. + if len(hs.clientHello.supportedSignatureAlgorithms) == 0 { + return c.sendAlert(alertMissingExtension) + } - certificate, err := c.config.getCertificate(clientHelloInfo(c, hs.clientHello)) - if err != nil { - if err == errNoCertificates { - c.sendAlert(alertUnrecognizedName) - } else { - c.sendAlert(alertInternalError) - } - return err + certificate, err := c.config.getCertificate(clientHelloInfo(c, hs.clientHello)) + if err != nil { + if err == errNoCertificates { + c.sendAlert(alertUnrecognizedName) + } else { + c.sendAlert(alertInternalError) } + return err + } - hs.sigAlg, err = selectSignatureScheme(c.vers, certificate, hs.clientHello.supportedSignatureAlgorithms) + hs.sigAlg, err = selectSignatureScheme(c.vers, certificate, hs.clientHello.supportedSignatureAlgorithms) + if err != nil { + // getCertificate returned a certificate that is unsupported or + // incompatible with the client's signature algorithms. + c.sendAlert(alertHandshakeFailure) + return err + } + + hs.cert = certificate + + if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 { + delegatedCredentialPair, err := getDelegatedCredential(clientHelloInfo(c, hs.clientHello), hs.cert) if err != nil { - // getCertificate returned a certificate that is unsupported or - // incompatible with the client's signature algorithms. - c.sendAlert(alertHandshakeFailure) - return err + // a Delegated Credential was not found. Fallback to the certificate. + return nil } - hs.cert = certificate - - if hs.clientHello.delegatedCredentialSupported && len(hs.clientHello.supportedSignatureAlgorithmsDC) > 0 { - delegatedCredentialPair, err := getDelegatedCredential(clientHelloInfo(c, hs.clientHello), hs.cert) + if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { + // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. + delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal() if err != nil { - // a Delegated Credential was not found. Fallback to the certificate. + // invalid Delegated Credential. Fallback to the certificate. return nil } - if delegatedCredentialPair.DC != nil && delegatedCredentialPair.PrivateKey != nil { - // Even if the Delegated Credential has already been marshalled, be sure it is the correct one. - delegatedCredentialPair.DC.raw, err = delegatedCredentialPair.DC.marshal() - if err != nil { - // invalid Delegated Credential. Fallback to the certificate. - return nil - } - - hs.sigAlg, err = selectSignatureSchemeDC(c.vers, delegatedCredentialPair.DC, hs.clientHello.supportedSignatureAlgorithmsDC) - if err != nil { - // the Delegated Credential is unsupported or - // incompatible with the client's signature algorithms. - // Fallback to the certificate. - return nil - } - - hs.cert.DelegatedCredentialPrivateKey = delegatedCredentialPair.PrivateKey - hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw + hs.sigAlg, err = selectSignatureSchemeDC(c.vers, delegatedCredentialPair.DC, hs.clientHello.supportedSignatureAlgorithmsDC) + if err != nil { + // the Delegated Credential is unsupported or + // incompatible with the client's signature algorithms. + // Fallback to the certificate. + return nil + } - certMsg := new(certificateMsgTLS13) + hs.cert.DelegatedCredentialPrivateKey = delegatedCredentialPair.PrivateKey + hs.cert.DelegatedCredential = delegatedCredentialPair.DC.raw - certMsg.certificate = *hs.cert - certMsg.scts = hs.clientHello.scts && len(hs.cert.SignedCertificateTimestamps) > 0 - certMsg.ocspStapling = hs.clientHello.ocspStapling && len(hs.cert.OCSPStaple) > 0 - certMsg.delegatedCredential = hs.clientHello.delegatedCredentialSupported && len(hs.cert.DelegatedCredential) > 0 + certMsg := new(certificateMsgTLS13) - certMsgRaw := certMsg.marshal() + certMsg.certificate = *hs.cert + certMsg.scts = hs.clientHello.scts && len(hs.cert.SignedCertificateTimestamps) > 0 + certMsg.ocspStapling = hs.clientHello.ocspStapling && len(hs.cert.OCSPStaple) > 0 + certMsg.delegatedCredential = hs.clientHello.delegatedCredentialSupported && len(hs.cert.DelegatedCredential) > 0 - if bytes.Equal(certMsgRaw, c.config.CachedCert) { - hs.hello.cachedInformationCert = true - } + certMsgRaw := certMsg.marshal() + cachedCertHash := calculateHashCachedInfo(certMsgRaw) + if bytes.Equal(cachedCertHash, hs.clientHello.cachedInformationCertHash) { + fmt.Println("\n GETTING HERE?") + hs.hello.cachedInformationCert = true if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { sk, ok1 := hs.cert.DelegatedCredentialPrivateKey.(*kem.PrivateKey) From 09b1727aeca5284f164b43c7c7e33c0d52aeebcd Mon Sep 17 00:00:00 2001 From: Armando Faz Date: Tue, 11 May 2021 12:11:46 -0700 Subject: [PATCH 53/69] Includes the experiment name based on connection. (#81) --- src/crypto/tls/handshake_client_kemtls.go | 1 + src/crypto/tls/handshake_client_tls13.go | 1 + src/crypto/tls/handshake_server_kemtls.go | 1 + src/crypto/tls/handshake_server_tls13.go | 1 + src/crypto/tls/tls_cf.go | 29 +++++++++++++++++++++++ 5 files changed, 33 insertions(+) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 3485245bf16..e00f5926475 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -44,6 +44,7 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { return err } + hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) fmt.Printf("\n %v kemtls did kemtls? \n", c.didKEMTLS) fmt.Printf("\n %v kemtls client time \n", c.config.time()) diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index e257d8e2427..4c342363f3f 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -166,6 +166,7 @@ func (hs *clientHandshakeStateTLS13) handshake() error { return err } + hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) fmt.Printf("\n %v tls1.3 client time \n", c.config.time()) fmt.Printf("\n %v tls1.3 did pqtls? \n", c.didPQTLS) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 5e49ce08ad3..f1c2c6c987b 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -35,6 +35,7 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { return err } + hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) fmt.Printf("\n %v kemtls did kemtls? \n", c.didKEMTLS) fmt.Printf("\n %v kemtls server time \n", c.config.time()) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 21db36a99ba..0582f4d1714 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -134,6 +134,7 @@ func (hs *serverHandshakeStateTLS13) handshake() error { return err } + hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) fmt.Printf("\n %v tls1.3 server time \n", c.config.time()) diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go index b6313aeedae..3a4dea2c199 100644 --- a/src/crypto/tls/tls_cf.go +++ b/src/crypto/tls/tls_cf.go @@ -67,6 +67,31 @@ type CFEvent interface { Name() string } +func experimentName(c *Conn) string { + // Reports the experiment number + exp := "exp" + alg := "" + switch true { + case c.didKEMTLS: + exp += "3" + alg += c.verifiedDC.algorithm.String() + break + case c.didPQTLS: + exp += "2" + alg += c.verifiedDC.algorithm.String() + break + case c.verifiedDC != nil: + exp += "1" + alg += c.verifiedDC.algorithm.String() + break + case c.verifiedDC == nil: + exp += "0" + alg = CipherSuiteName(c.cipherSuite) + break + } + return exp + "_" + alg +} + // CFEventTLS13ClientHandshakeTimingInfo carries intra-stack time durations for // TLS 1.3 client-state machine changes. It can be used for tracking metrics // during a connection. Some durations may be sensitive, such as the amount of @@ -88,6 +113,8 @@ type CFEventTLS13ClientHandshakeTimingInfo struct { WriteKEMCiphertext time.Duration ReadKEMCiphertext time.Duration + + ExperimentName string } // Name is required by the CFEvent interface. @@ -135,6 +162,8 @@ type CFEventTLS13ServerHandshakeTimingInfo struct { ReadKEMCiphertext time.Duration WriteKEMCiphertext time.Duration + + ExperimentName string } // Name is required by the CFEvent interface. From 7bb782c662a1f265c29194bf5d8d84d9b5c904c4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 11 May 2021 21:27:10 +0100 Subject: [PATCH 54/69] Debugging --- src/crypto/tls/conn.go | 7 +++++++ src/crypto/tls/delegated_credentials_test.go | 4 +--- src/crypto/tls/handshake_client_kemtls.go | 4 ++++ src/crypto/tls/handshake_server_kemtls.go | 2 ++ 4 files changed, 14 insertions(+), 3 deletions(-) diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 5dc38f917a8..2f74493e03f 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -384,6 +384,7 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { c.XORKeyStream(payload, payload) case aead: if len(payload) < explicitNonceLen { + fmt.Println("\n WHY I AM HERE? 4") return nil, 0, alertBadRecordMAC } nonce := payload[:explicitNonceLen] @@ -405,12 +406,14 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { var err error plaintext, err = c.Open(payload[:0], nonce, payload, additionalData) if err != nil { + fmt.Println("\n WHY I AM HERE?") return nil, 0, alertBadRecordMAC } case cbcMode: blockSize := c.BlockSize() minPayload := explicitNonceLen + roundUp(hc.mac.Size()+1, blockSize) if len(payload)%blockSize != 0 || len(payload) < minPayload { + fmt.Println("\n WHY I AM HERE? 1") return nil, 0, alertBadRecordMAC } @@ -457,6 +460,7 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { if hc.mac != nil { macSize := hc.mac.Size() if len(payload) < macSize { + fmt.Println("\n WHY I AM HERE? 2") return nil, 0, alertBadRecordMAC } @@ -476,6 +480,7 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { // See also the logic at the end of extractPadding. macAndPaddingGood := subtle.ConstantTimeCompare(localMAC, remoteMAC) & int(paddingGood) if macAndPaddingGood != 1 { + fmt.Println("\n WHY I AM HERE? 3") return nil, 0, alertBadRecordMAC } @@ -699,6 +704,7 @@ func (c *Conn) readRecordOrCCS(expectChangeCipherSpec bool) error { record := c.rawInput.Next(recordHeaderLen + n) data, typ, err := c.in.decrypt(record) if err != nil { + fmt.Println("\n FAILING HERE?") return c.in.setErrorLocked(c.sendAlert(err.(alert))) } if len(data) > maxPlaintext { @@ -1053,6 +1059,7 @@ func (c *Conn) writeRecord(typ recordType, data []byte) (int, error) { func (c *Conn) readHandshake() (interface{}, error) { for c.hand.Len() < 4 { if err := c.readRecord(); err != nil { + fmt.Println("\n ERROR ") return nil, err } } diff --git a/src/crypto/tls/delegated_credentials_test.go b/src/crypto/tls/delegated_credentials_test.go index 6fa8f3d2501..bec7bcf659d 100644 --- a/src/crypto/tls/delegated_credentials_test.go +++ b/src/crypto/tls/delegated_credentials_test.go @@ -915,7 +915,7 @@ func TestDCKEMCachedInfoHandshakeServerAuth(t *testing.T) { initDCTest() - usedDC, usedKEMTLS, _, serverState, clientState, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true, false) + usedDC, usedKEMTLS, _, _, clientState, err := testConnWithDC(t, clientMsg, serverMsg, clientConfig, serverConfig, "client", true, false) if err != nil { t.Errorf("test server and client auth with kems fails: %s", err.Error()) @@ -929,8 +929,6 @@ func TestDCKEMCachedInfoHandshakeServerAuth(t *testing.T) { t.Errorf("test server and client auth with kems did not use kemtls") } - serverConfig.CachedCert = serverState.CertificateMessage - serverConfig.CachedCertReq = serverState.CertificateReqMessage clientConfig.CachedCert = clientState.CertificateMessage clientConfig.CachedCertReq = clientState.CertificateReqMessage diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index e00f5926475..58363a82958 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -254,6 +254,7 @@ func (hs *clientHandshakeStateTLS13) sendKEMTLSClientFinished() error { verifyData: hs.suite.finishedHashKEMTLS(hs.masterSecret, "c", hs.transcript), } + fmt.Printf("\n OVER THE RAIN 7 %v \n", finished.marshal()) if _, err := hs.transcript.Write(finished.marshal()); err != nil { return err } @@ -279,6 +280,7 @@ func (hs *clientHandshakeStateTLS13) sendKEMTLSClientFinished() error { func (hs *clientHandshakeStateTLS13) processKEMTLSServerFinished() error { c := hs.c + fmt.Println("\n OVER THE RAIN 11") msg, err := c.readHandshake() if err != nil { return err @@ -290,6 +292,8 @@ func (hs *clientHandshakeStateTLS13) processKEMTLSServerFinished() error { return unexpectedMessageError(finished, msg) } + fmt.Printf("\n OVER THE RAIN 10 %v \n", finished) + hs.handshakeTimings.ReadServerFinished = hs.handshakeTimings.elapsedTime() // HMAC(fk_s , CH..CF) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index f1c2c6c987b..d334b937548 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -254,6 +254,7 @@ func (hs *serverHandshakeStateTLS13) readKEMTLSClientFinished() error { return unexpectedMessageError(finished, msg) } + fmt.Printf("\n OVER THE RAIN 8 %v \n", finished) hs.handshakeTimings.ReadClientFinished = hs.handshakeTimings.elapsedTime() if !hs.isClientAuthKEMTLS { @@ -293,6 +294,7 @@ func (hs *serverHandshakeStateTLS13) writeKEMTLSServerFinished() error { verifyData: hs.suite.finishedHashKEMTLS(hs.masterSecret, "s", hs.transcript), } + fmt.Printf("\n OVER THE RAIN 9 %v \n", finished.marshal()) if _, err := hs.transcript.Write(finished.marshal()); err != nil { return err } From f0b889f7b87d11dcf4e94ddf556c3e9cc6b490c4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Wed, 12 May 2021 13:57:40 +0100 Subject: [PATCH 55/69] Remove all debugging --- src/crypto/tls/conn.go | 7 ------- src/crypto/tls/handshake_client_kemtls.go | 10 +--------- src/crypto/tls/handshake_client_tls13.go | 3 --- src/crypto/tls/handshake_server_kemtls.go | 9 +-------- src/crypto/tls/handshake_server_tls13.go | 6 +----- 5 files changed, 3 insertions(+), 32 deletions(-) diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 2f74493e03f..5dc38f917a8 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -384,7 +384,6 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { c.XORKeyStream(payload, payload) case aead: if len(payload) < explicitNonceLen { - fmt.Println("\n WHY I AM HERE? 4") return nil, 0, alertBadRecordMAC } nonce := payload[:explicitNonceLen] @@ -406,14 +405,12 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { var err error plaintext, err = c.Open(payload[:0], nonce, payload, additionalData) if err != nil { - fmt.Println("\n WHY I AM HERE?") return nil, 0, alertBadRecordMAC } case cbcMode: blockSize := c.BlockSize() minPayload := explicitNonceLen + roundUp(hc.mac.Size()+1, blockSize) if len(payload)%blockSize != 0 || len(payload) < minPayload { - fmt.Println("\n WHY I AM HERE? 1") return nil, 0, alertBadRecordMAC } @@ -460,7 +457,6 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { if hc.mac != nil { macSize := hc.mac.Size() if len(payload) < macSize { - fmt.Println("\n WHY I AM HERE? 2") return nil, 0, alertBadRecordMAC } @@ -480,7 +476,6 @@ func (hc *halfConn) decrypt(record []byte) ([]byte, recordType, error) { // See also the logic at the end of extractPadding. macAndPaddingGood := subtle.ConstantTimeCompare(localMAC, remoteMAC) & int(paddingGood) if macAndPaddingGood != 1 { - fmt.Println("\n WHY I AM HERE? 3") return nil, 0, alertBadRecordMAC } @@ -704,7 +699,6 @@ func (c *Conn) readRecordOrCCS(expectChangeCipherSpec bool) error { record := c.rawInput.Next(recordHeaderLen + n) data, typ, err := c.in.decrypt(record) if err != nil { - fmt.Println("\n FAILING HERE?") return c.in.setErrorLocked(c.sendAlert(err.(alert))) } if len(data) > maxPlaintext { @@ -1059,7 +1053,6 @@ func (c *Conn) writeRecord(typ recordType, data []byte) (int, error) { func (c *Conn) readHandshake() (interface{}, error) { for c.hand.Len() < 4 { if err := c.readRecord(); err != nil { - fmt.Println("\n ERROR ") return nil, err } } diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 58363a82958..3d0c993512e 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -8,7 +8,6 @@ import ( "crypto/hmac" "crypto/kem" "errors" - "fmt" "sync/atomic" ) @@ -44,11 +43,8 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { return err } - hs.handshakeTimings.ExperimentName = experimentName(c) + //hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n %v kemtls did kemtls? \n", c.didKEMTLS) - fmt.Printf("\n %v kemtls client time \n", c.config.time()) - fmt.Printf("\n kemtls client timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -254,7 +250,6 @@ func (hs *clientHandshakeStateTLS13) sendKEMTLSClientFinished() error { verifyData: hs.suite.finishedHashKEMTLS(hs.masterSecret, "c", hs.transcript), } - fmt.Printf("\n OVER THE RAIN 7 %v \n", finished.marshal()) if _, err := hs.transcript.Write(finished.marshal()); err != nil { return err } @@ -280,7 +275,6 @@ func (hs *clientHandshakeStateTLS13) sendKEMTLSClientFinished() error { func (hs *clientHandshakeStateTLS13) processKEMTLSServerFinished() error { c := hs.c - fmt.Println("\n OVER THE RAIN 11") msg, err := c.readHandshake() if err != nil { return err @@ -292,8 +286,6 @@ func (hs *clientHandshakeStateTLS13) processKEMTLSServerFinished() error { return unexpectedMessageError(finished, msg) } - fmt.Printf("\n OVER THE RAIN 10 %v \n", finished) - hs.handshakeTimings.ReadServerFinished = hs.handshakeTimings.elapsedTime() // HMAC(fk_s , CH..CF) diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 4c342363f3f..bcc62a5f01e 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -168,9 +168,6 @@ func (hs *clientHandshakeStateTLS13) handshake() error { hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n %v tls1.3 client time \n", c.config.time()) - fmt.Printf("\n %v tls1.3 did pqtls? \n", c.didPQTLS) - fmt.Printf("\n tls1.3 client timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index d334b937548..99bf9a147dc 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -4,13 +4,11 @@ import ( "crypto/hmac" "crypto/kem" "errors" - "fmt" "sync/atomic" ) func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { c := hs.c - fmt.Println("\n Testing here") if err := hs.readClientKEMCiphertext(); err != nil { return err @@ -35,11 +33,8 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { return err } - hs.handshakeTimings.ExperimentName = experimentName(c) + //hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n %v kemtls did kemtls? \n", c.didKEMTLS) - fmt.Printf("\n %v kemtls server time \n", c.config.time()) - fmt.Printf("\n kemtls server timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -254,7 +249,6 @@ func (hs *serverHandshakeStateTLS13) readKEMTLSClientFinished() error { return unexpectedMessageError(finished, msg) } - fmt.Printf("\n OVER THE RAIN 8 %v \n", finished) hs.handshakeTimings.ReadClientFinished = hs.handshakeTimings.elapsedTime() if !hs.isClientAuthKEMTLS { @@ -294,7 +288,6 @@ func (hs *serverHandshakeStateTLS13) writeKEMTLSServerFinished() error { verifyData: hs.suite.finishedHashKEMTLS(hs.masterSecret, "s", hs.transcript), } - fmt.Printf("\n OVER THE RAIN 9 %v \n", finished.marshal()) if _, err := hs.transcript.Write(finished.marshal()); err != nil { return err } diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 0582f4d1714..9167ded0e35 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -134,12 +134,9 @@ func (hs *serverHandshakeStateTLS13) handshake() error { return err } - hs.handshakeTimings.ExperimentName = experimentName(c) + //hs.handshakeTimings.ExperimentName = experimentName(c) c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n %v tls1.3 server time \n", c.config.time()) - fmt.Printf("\n %v tls1.3 did pqtls? \n", c.didPQTLS) - fmt.Printf("\n tls1.3 server timings %v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -250,7 +247,6 @@ func (hs *serverHandshakeStateTLS13) processClientHello() error { certMsgRaw := certMsg.marshal() cachedCertHash := calculateHashCachedInfo(certMsgRaw) if bytes.Equal(cachedCertHash, hs.clientHello.cachedInformationCertHash) { - fmt.Println("\n GETTING HERE?") hs.hello.cachedInformationCert = true if delegatedCredentialPair.DC.cred.expCertVerfAlgo.isKEMTLS() { From acd4fed8637a3ea46714693fce499be992d96829 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Wed, 12 May 2021 16:32:15 +0100 Subject: [PATCH 56/69] Correctly send the messages in pdk kemtls --- src/crypto/tls/handshake_client_kemtls.go | 54 ++++++++++++++--------- src/crypto/tls/handshake_server_kemtls.go | 52 +++++++++++++--------- src/crypto/tls/handshake_server_tls13.go | 6 ++- 3 files changed, 69 insertions(+), 43 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 3d0c993512e..8291d3a6fb8 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -14,33 +14,45 @@ import ( func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { c := hs.c - if err := hs.sendClientKEMCiphertext(); err != nil { - return err - } + if hs.pdkKEMTLS { + if err := hs.processKEMTLSServerFinished(); err != nil { + return err + } + if err := hs.sendKEMTLSClientFinished(); err != nil { + return err + } - // Send the KEMTLS client certificate if asked for - if err := hs.sendKEMClientCertificate(); err != nil { - return err - } + if _, err := c.flush(); err != nil { + return err + } + } else { + if err := hs.sendClientKEMCiphertext(); err != nil { + return err + } - if _, err := c.flush(); err != nil { - return err - } + // Send the KEMTLS client certificate if asked for + if err := hs.sendKEMClientCertificate(); err != nil { + return err + } - if err := hs.readServerKEMCiphertext(); err != nil { - return err - } + if _, err := c.flush(); err != nil { + return err + } - if err := hs.sendKEMTLSClientFinished(); err != nil { - return err - } + if err := hs.readServerKEMCiphertext(); err != nil { + return err + } - if _, err := c.flush(); err != nil { - return err - } + if err := hs.sendKEMTLSClientFinished(); err != nil { + return err + } - if err := hs.processKEMTLSServerFinished(); err != nil { - return err + if _, err := c.flush(); err != nil { + return err + } + if err := hs.processKEMTLSServerFinished(); err != nil { + return err + } } //hs.handshakeTimings.ExperimentName = experimentName(c) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 99bf9a147dc..00facfff73b 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -10,27 +10,39 @@ import ( func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { c := hs.c - if err := hs.readClientKEMCiphertext(); err != nil { - return err - } - if err := hs.readClientKEMCertificate(); err != nil { - return err - } - if err := hs.sendServerKEMCiphertext(); err != nil { - return err - } - if _, err := c.flush(); err != nil { - return err - } - if err := hs.readKEMTLSClientFinished(); err != nil { - return err - } + if hs.pdkKEMTLS { + if err := hs.writeKEMTLSServerFinished(); err != nil { + return err + } + if _, err := c.flush(); err != nil { + return err + } + if err := hs.readKEMTLSClientFinished(); err != nil { + return err + } + } else { + if err := hs.readClientKEMCiphertext(); err != nil { + return err + } + if err := hs.readClientKEMCertificate(); err != nil { + return err + } + if err := hs.sendServerKEMCiphertext(); err != nil { + return err + } + if _, err := c.flush(); err != nil { + return err + } + if err := hs.readKEMTLSClientFinished(); err != nil { + return err + } - if err := hs.writeKEMTLSServerFinished(); err != nil { - return err - } - if _, err := c.flush(); err != nil { - return err + if err := hs.writeKEMTLSServerFinished(); err != nil { + return err + } + if _, err := c.flush(); err != nil { + return err + } } //hs.handshakeTimings.ExperimentName = experimentName(c) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 9167ded0e35..32fdd4816a9 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -112,8 +112,10 @@ func (hs *serverHandshakeStateTLS13) handshake() error { } if hs.isKEMTLS { // send application data for KEMTLS - if _, err := c.flush(); err != nil { - return err + if !hs.pdkKEMTLS { + if _, err := c.flush(); err != nil { + return err + } } return hs.handshakeKEMTLS() From cf50d22808a39859a621a5df4d3f4ed1b6f99bbe Mon Sep 17 00:00:00 2001 From: armfazh Date: Wed, 12 May 2021 09:38:53 -0700 Subject: [PATCH 57/69] adds default case to switch --- src/crypto/tls/tls_cf.go | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go index 3a4dea2c199..c12660e6ab2 100644 --- a/src/crypto/tls/tls_cf.go +++ b/src/crypto/tls/tls_cf.go @@ -88,6 +88,8 @@ func experimentName(c *Conn) string { exp += "0" alg = CipherSuiteName(c.cipherSuite) break + default: + break } return exp + "_" + alg } @@ -129,6 +131,10 @@ func (e CFEventTLS13ClientHandshakeTimingInfo) elapsedTime() time.Duration { return e.timer().Sub(e.start) } +func (e *CFEventTLS13ClientHandshakeTimingInfo) reset() { + e.start = e.timer() +} + func createTLS13ClientHandshakeTimingInfo(timerFunc func() time.Time) CFEventTLS13ClientHandshakeTimingInfo { timer := time.Now if timerFunc != nil { From 8f403ad1ded27b4e0c5ff6f8b55ba313df185409 Mon Sep 17 00:00:00 2001 From: Armando Faz Date: Thu, 13 May 2021 09:11:26 -0700 Subject: [PATCH 58/69] Reseting timer at each round. (#82) --- src/crypto/tls/handshake_client.go | 3 +++ src/crypto/tls/handshake_client_kemtls.go | 3 ++- src/crypto/tls/handshake_client_tls13.go | 3 ++- src/crypto/tls/handshake_server_kemtls.go | 3 ++- src/crypto/tls/handshake_server_tls13.go | 5 ++++- src/crypto/tls/metrics_test.go | 13 +++++++----- src/crypto/tls/tls_cf.go | 26 +++++++++++++++++++---- 7 files changed, 43 insertions(+), 13 deletions(-) diff --git a/src/crypto/tls/handshake_client.go b/src/crypto/tls/handshake_client.go index 827437d34a7..85f1e577fc8 100644 --- a/src/crypto/tls/handshake_client.go +++ b/src/crypto/tls/handshake_client.go @@ -352,6 +352,9 @@ func (c *Conn) clientHandshake() (err error) { return err } + // Client already received the serverHello + handshakeTimings.reset() + // If we are negotiating a protocol version that's lower than what we // support, check for the server downgrade canaries. // See RFC 8446, Section 4.1.3. diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 8291d3a6fb8..9dc58de9b02 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -55,7 +55,8 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { } } - //hs.handshakeTimings.ExperimentName = experimentName(c) + // hs.handshakeTimings.ExperimentName = experimentName(c) + hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index bcc62a5f01e..ded608bab49 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -166,7 +166,8 @@ func (hs *clientHandshakeStateTLS13) handshake() error { return err } - hs.handshakeTimings.ExperimentName = experimentName(c) + // hs.handshakeTimings.ExperimentName = experimentName(c) + hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 00facfff73b..30a0194fac3 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -45,7 +45,8 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { } } - //hs.handshakeTimings.ExperimentName = experimentName(c) + // hs.handshakeTimings.ExperimentName = experimentName(c) + hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 32fdd4816a9..a43956ce0ed 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -129,6 +129,8 @@ func (hs *serverHandshakeStateTLS13) handshake() error { if _, err := c.flush(); err != nil { return err } + // this is round 2 of server + hs.handshakeTimings.reset() if err := hs.readClientCertificate(); err != nil { return err } @@ -136,7 +138,8 @@ func (hs *serverHandshakeStateTLS13) handshake() error { return err } - //hs.handshakeTimings.ExperimentName = experimentName(c) + // hs.handshakeTimings.ExperimentName = experimentName(c) + hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) diff --git a/src/crypto/tls/metrics_test.go b/src/crypto/tls/metrics_test.go index 10b09d1510a..8e0c9f77c2b 100644 --- a/src/crypto/tls/metrics_test.go +++ b/src/crypto/tls/metrics_test.go @@ -19,24 +19,27 @@ type testTimingInfo struct { func (t testTimingInfo) isMonotonicallyIncreasing() bool { serverIsMonotonicallyIncreasing := - t.serverTimingInfo.ProcessClientHello < t.serverTimingInfo.WriteServerHello && + 0 < t.serverTimingInfo.ProcessClientHello && + t.serverTimingInfo.ProcessClientHello < t.serverTimingInfo.WriteServerHello && t.serverTimingInfo.WriteServerHello < t.serverTimingInfo.WriteEncryptedExtensions && t.serverTimingInfo.WriteEncryptedExtensions < t.serverTimingInfo.WriteCertificate && t.serverTimingInfo.WriteCertificate < t.serverTimingInfo.WriteCertificateVerify && t.serverTimingInfo.WriteCertificateVerify < t.serverTimingInfo.WriteServerFinished && - t.serverTimingInfo.WriteServerFinished < t.serverTimingInfo.ReadCertificate && + 0 < t.serverTimingInfo.ReadCertificate && t.serverTimingInfo.ReadCertificate < t.serverTimingInfo.ReadCertificateVerify && - t.serverTimingInfo.ReadCertificateVerify < t.serverTimingInfo.ReadClientFinished + t.serverTimingInfo.ReadCertificateVerify < t.serverTimingInfo.ReadClientFinished && + t.serverTimingInfo.ReadClientFinished < t.serverTimingInfo.FullProtocol clientIsMonotonicallyIncreasing := - t.clientTimingInfo.WriteClientHello < t.clientTimingInfo.ProcessServerHello && + 0 < t.clientTimingInfo.WriteClientHello && t.clientTimingInfo.ProcessServerHello < t.clientTimingInfo.ReadEncryptedExtensions && t.clientTimingInfo.ReadEncryptedExtensions < t.clientTimingInfo.ReadCertificate && t.clientTimingInfo.ReadCertificate < t.clientTimingInfo.ReadCertificateVerify && t.clientTimingInfo.ReadCertificateVerify < t.clientTimingInfo.ReadServerFinished && t.clientTimingInfo.ReadServerFinished < t.clientTimingInfo.WriteCertificate && t.clientTimingInfo.WriteCertificate < t.clientTimingInfo.WriteCertificateVerify && - t.clientTimingInfo.WriteCertificateVerify < t.clientTimingInfo.WriteClientFinished + t.clientTimingInfo.WriteCertificateVerify < t.clientTimingInfo.WriteClientFinished && + t.clientTimingInfo.WriteClientFinished < t.clientTimingInfo.FullProtocol return (serverIsMonotonicallyIncreasing && clientIsMonotonicallyIncreasing) } diff --git a/src/crypto/tls/tls_cf.go b/src/crypto/tls/tls_cf.go index c12660e6ab2..50f166c1736 100644 --- a/src/crypto/tls/tls_cf.go +++ b/src/crypto/tls/tls_cf.go @@ -102,6 +102,7 @@ func experimentName(c *Conn) string { type CFEventTLS13ClientHandshakeTimingInfo struct { timer func() time.Time start time.Time + total time.Time WriteClientHello time.Duration ProcessServerHello time.Duration ReadEncryptedExtensions time.Duration @@ -115,6 +116,7 @@ type CFEventTLS13ClientHandshakeTimingInfo struct { WriteKEMCiphertext time.Duration ReadKEMCiphertext time.Duration + FullProtocol time.Duration ExperimentName string } @@ -135,15 +137,20 @@ func (e *CFEventTLS13ClientHandshakeTimingInfo) reset() { e.start = e.timer() } +func (e *CFEventTLS13ClientHandshakeTimingInfo) finish() { + e.FullProtocol = e.timer().Sub(e.total) +} + func createTLS13ClientHandshakeTimingInfo(timerFunc func() time.Time) CFEventTLS13ClientHandshakeTimingInfo { timer := time.Now if timerFunc != nil { timer = timerFunc } - + now := timer() return CFEventTLS13ClientHandshakeTimingInfo{ timer: timer, - start: timer(), + start: now, + total: now, } } @@ -155,6 +162,7 @@ func createTLS13ClientHandshakeTimingInfo(timerFunc func() time.Time) CFEventTLS type CFEventTLS13ServerHandshakeTimingInfo struct { timer func() time.Time start time.Time + total time.Time ProcessClientHello time.Duration WriteServerHello time.Duration WriteEncryptedExtensions time.Duration @@ -168,6 +176,7 @@ type CFEventTLS13ServerHandshakeTimingInfo struct { ReadKEMCiphertext time.Duration WriteKEMCiphertext time.Duration + FullProtocol time.Duration ExperimentName string } @@ -184,15 +193,24 @@ func (e CFEventTLS13ServerHandshakeTimingInfo) elapsedTime() time.Duration { return e.timer().Sub(e.start) } +func (e *CFEventTLS13ServerHandshakeTimingInfo) reset() { + e.start = e.timer() +} + +func (e *CFEventTLS13ServerHandshakeTimingInfo) finish() { + e.FullProtocol = e.timer().Sub(e.total) +} + func createTLS13ServerHandshakeTimingInfo(timerFunc func() time.Time) CFEventTLS13ServerHandshakeTimingInfo { timer := time.Now if timerFunc != nil { timer = timerFunc } - + now := timer() return CFEventTLS13ServerHandshakeTimingInfo{ timer: timer, - start: timer(), + start: now, + total: now, } } From 231c03455a39c1a825aa4d6d7a0ab5b841df72dd Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Thu, 13 May 2021 17:11:45 +0100 Subject: [PATCH 59/69] Timing fixes --- src/crypto/tls/handshake_client_kemtls.go | 5 ++++- src/crypto/tls/handshake_server_kemtls.go | 12 ++++++------ src/crypto/tls/handshake_server_tls13.go | 7 +++++-- 3 files changed, 15 insertions(+), 9 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 9dc58de9b02..94f689082e5 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -38,6 +38,8 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { if _, err := c.flush(); err != nil { return err } + // second round for KEMTLS + hs.handshakeTimings.reset() if err := hs.readServerKEMCiphertext(); err != nil { return err @@ -50,13 +52,14 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { if _, err := c.flush(); err != nil { return err } + // thrid round for KEMTLS + hs.handshakeTimings.reset() if err := hs.processKEMTLSServerFinished(); err != nil { return err } } // hs.handshakeTimings.ExperimentName = experimentName(c) - hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 30a0194fac3..2dbc9be989d 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -30,8 +30,12 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { if err := hs.sendServerKEMCiphertext(); err != nil { return err } - if _, err := c.flush(); err != nil { - return err + if hs.requestClientKEMCert() { + if _, err := c.flush(); err != nil { + return err + } + // thrid round of sending for mKEMTLS + hs.handshakeTimings.reset() } if err := hs.readKEMTLSClientFinished(); err != nil { return err @@ -40,13 +44,9 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { if err := hs.writeKEMTLSServerFinished(); err != nil { return err } - if _, err := c.flush(); err != nil { - return err - } } // hs.handshakeTimings.ExperimentName = experimentName(c) - hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index a43956ce0ed..9a26dce229c 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -116,6 +116,8 @@ func (hs *serverHandshakeStateTLS13) handshake() error { if _, err := c.flush(); err != nil { return err } + // second round of sending for KEMTLS + hs.handshakeTimings.reset() } return hs.handshakeKEMTLS() @@ -129,8 +131,9 @@ func (hs *serverHandshakeStateTLS13) handshake() error { if _, err := c.flush(); err != nil { return err } - // this is round 2 of server + // second round of TLS1.3, thrid round for KEMTLS and fourth round for mKEMTLS hs.handshakeTimings.reset() + if err := hs.readClientCertificate(); err != nil { return err } @@ -138,7 +141,7 @@ func (hs *serverHandshakeStateTLS13) handshake() error { return err } - // hs.handshakeTimings.ExperimentName = experimentName(c) + //hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) From a7bdd1ca6f403974a1ac1ebe8bccd72e4efaed67 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Thu, 13 May 2021 20:37:07 +0100 Subject: [PATCH 60/69] Other fixes --- src/crypto/tls/handshake_client_kemtls.go | 13 +++++++++---- src/crypto/tls/handshake_server_kemtls.go | 2 ++ src/crypto/tls/handshake_server_tls13.go | 16 +++++++++------- 3 files changed, 20 insertions(+), 11 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 94f689082e5..57bebfc7ed3 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -25,6 +25,7 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { if _, err := c.flush(); err != nil { return err } + hs.handshakeTimings.reset() } else { if err := hs.sendClientKEMCiphertext(); err != nil { return err @@ -35,11 +36,13 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { return err } - if _, err := c.flush(); err != nil { - return err + if hs.certReq != nil { + if _, err := c.flush(); err != nil { + return err + } + // second round for KEMTLS + hs.handshakeTimings.reset() } - // second round for KEMTLS - hs.handshakeTimings.reset() if err := hs.readServerKEMCiphertext(); err != nil { return err @@ -60,6 +63,7 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { } // hs.handshakeTimings.ExperimentName = experimentName(c) + hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) @@ -272,6 +276,7 @@ func (hs *clientHandshakeStateTLS13) sendKEMTLSClientFinished() error { if _, err := c.writeRecord(recordTypeHandshake, finished.marshal()); err != nil { return err } + hs.handshakeTimings.WriteClientFinished = hs.handshakeTimings.elapsedTime() // CATS <- HKDF.Expand(MS, "c ap traffic", CH..CF) diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 2dbc9be989d..20bd50f00ba 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -17,6 +17,7 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { if _, err := c.flush(); err != nil { return err } + hs.handshakeTimings.reset() if err := hs.readKEMTLSClientFinished(); err != nil { return err } @@ -47,6 +48,7 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { } // hs.handshakeTimings.ExperimentName = experimentName(c) + hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 9a26dce229c..fda193b5349 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -125,14 +125,16 @@ func (hs *serverHandshakeStateTLS13) handshake() error { if err := hs.sendServerFinished(); err != nil { return err } - // Note that at this point we could start sending application data without - // waiting for the client's second flight, but the application might not - // expect the lack of replay protection of the ClientHello parameters. - if _, err := c.flush(); err != nil { - return err + if !hs.pdkKEMTLS { + // Note that at this point we could start sending application data without + // waiting for the client's second flight, but the application might not + // expect the lack of replay protection of the ClientHello parameters. + if _, err := c.flush(); err != nil { + return err + } + // second round of TLS1.3, thrid round for KEMTLS and fourth round for mKEMTLS + hs.handshakeTimings.reset() } - // second round of TLS1.3, thrid round for KEMTLS and fourth round for mKEMTLS - hs.handshakeTimings.reset() if err := hs.readClientCertificate(); err != nil { return err From 67a463973304fb3cc443834acbb78998abd30828 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Thu, 13 May 2021 23:52:58 +0100 Subject: [PATCH 61/69] Timings --- src/crypto/tls/handshake_client_kemtls.go | 2 ++ src/crypto/tls/handshake_client_tls13.go | 1 + src/crypto/tls/handshake_server_kemtls.go | 2 ++ src/crypto/tls/handshake_server_tls13.go | 1 + 4 files changed, 6 insertions(+) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 57bebfc7ed3..da461ce14aa 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -8,6 +8,7 @@ import ( "crypto/hmac" "crypto/kem" "errors" + "fmt" "sync/atomic" ) @@ -65,6 +66,7 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { // hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) + fmt.Printf("\n client kemtls %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index ded608bab49..e56b0a9f5c5 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -169,6 +169,7 @@ func (hs *clientHandshakeStateTLS13) handshake() error { // hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) + fmt.Printf("\n client 1.3 %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 20bd50f00ba..369bb8cf34d 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -4,6 +4,7 @@ import ( "crypto/hmac" "crypto/kem" "errors" + "fmt" "sync/atomic" ) @@ -50,6 +51,7 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { // hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) + fmt.Printf("\n server kemtls %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index fda193b5349..61a2652df9a 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -146,6 +146,7 @@ func (hs *serverHandshakeStateTLS13) handshake() error { //hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) + fmt.Printf("\n server 1.3 %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) From 4c16d335154ea6da98828ee63dd0fad29519a1ed Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 16 May 2021 16:03:18 +0100 Subject: [PATCH 62/69] Debugging --- src/crypto/tls/handshake_client_kemtls.go | 2 ++ src/crypto/tls/handshake_client_tls13.go | 2 ++ src/crypto/tls/handshake_server_tls13.go | 5 +++++ 3 files changed, 9 insertions(+) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index da461ce14aa..3e587a55c69 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -78,6 +78,8 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { var ok bool var ahs []byte + hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() + fmt.Printf("\n %v \n", hs.handshakeTimings.WriteKEMCiphertext) if !(hs.pdkKEMTLS && hs.keyKEMShare) { if c.verifiedDC != nil && c.verifiedDC.cred.expCertVerfAlgo.isKEMTLS() { pk, ok = c.verifiedDC.cred.publicKey.(*kem.PublicKey) diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index e56b0a9f5c5..7c2267a5107 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -732,6 +732,8 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { } } + hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() + fmt.Printf("\n %v \n", hs.handshakeTimings.WriteKEMCiphertext) if hs.keyKEMShare { hs.isKEMTLS = true hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 61a2652df9a..08ec90bbd74 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -132,8 +132,13 @@ func (hs *serverHandshakeStateTLS13) handshake() error { if _, err := c.flush(); err != nil { return err } + + fmt.Println("\n RESETTING?") + fmt.Printf("\n RESETTING? %v", hs.handshakeTimings.elapsedTime()) + // second round of TLS1.3, thrid round for KEMTLS and fourth round for mKEMTLS hs.handshakeTimings.reset() + fmt.Printf("\n RESETTING? %v", hs.handshakeTimings.elapsedTime()) } if err := hs.readClientCertificate(); err != nil { From 486547400bcdd5648f6d475d45888f1ad7b627a2 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 16 May 2021 16:05:21 +0100 Subject: [PATCH 63/69] Back to normal --- src/crypto/tls/handshake_client_kemtls.go | 4 +--- src/crypto/tls/handshake_client_tls13.go | 2 -- 2 files changed, 1 insertion(+), 5 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 3e587a55c69..4585be3a21d 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -78,8 +78,6 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { var ok bool var ahs []byte - hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() - fmt.Printf("\n %v \n", hs.handshakeTimings.WriteKEMCiphertext) if !(hs.pdkKEMTLS && hs.keyKEMShare) { if c.verifiedDC != nil && c.verifiedDC.cred.expCertVerfAlgo.isKEMTLS() { pk, ok = c.verifiedDC.cred.publicKey.(*kem.PublicKey) @@ -113,8 +111,8 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { if err != nil { return err } - hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() + fmt.Printf("\n %v \n", hs.handshakeTimings.WriteKEMCiphertext) // AHS <- HKDF.Extract(dHS, ss_s) ahs = hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index 7c2267a5107..e56b0a9f5c5 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -732,8 +732,6 @@ func (hs *clientHandshakeStateTLS13) readServerCertificate() error { } } - hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() - fmt.Printf("\n %v \n", hs.handshakeTimings.WriteKEMCiphertext) if hs.keyKEMShare { hs.isKEMTLS = true hs.handshakeTimings.ReadCertificateVerify = hs.handshakeTimings.elapsedTime() From eba51c1774059321b8baba419ea494aae8707aa8 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 16 May 2021 16:17:09 +0100 Subject: [PATCH 64/69] Other debugging --- src/crypto/tls/handshake_server_tls13.go | 2 ++ 1 file changed, 2 insertions(+) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 08ec90bbd74..d3a81503b82 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -1158,6 +1158,7 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { } if !hs.requestClientCert() { + fmt.Println("\n GETTING HERE 1") // Make sure the connection is still being verified whether or not // the server requested a client certificate. if c.config.VerifyConnection != nil { @@ -1169,6 +1170,7 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { return nil } + fmt.Println("\n GETTING HERE 2") // If we requested a client certificate, then the client must send a // certificate message. If it's empty, no CertificateVerify is sent. From fe4c0695147fdede69488c6b9a2f370393286c3e Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Sun, 16 May 2021 19:37:53 +0100 Subject: [PATCH 65/69] Other debugging 2 --- src/crypto/tls/handshake_server_tls13.go | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index d3a81503b82..7d38a66b6df 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -1162,11 +1162,13 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { // Make sure the connection is still being verified whether or not // the server requested a client certificate. if c.config.VerifyConnection != nil { + fmt.Printf("\n WHY 4 %v \n", hs.handshakeTimings.elapsedTime()) if err := c.config.VerifyConnection(c.connectionStateLocked()); err != nil { c.sendAlert(alertBadCertificate) return err } } + fmt.Printf("\n WHY 3 %v \n", hs.handshakeTimings.elapsedTime()) return nil } @@ -1265,6 +1267,7 @@ func (hs *serverHandshakeStateTLS13) readClientFinished() error { return nil } + fmt.Printf("\n WHY 1 %v \n", hs.handshakeTimings.elapsedTime()) msg, err := c.readHandshake() if err != nil { return err @@ -1276,6 +1279,7 @@ func (hs *serverHandshakeStateTLS13) readClientFinished() error { return unexpectedMessageError(finished, msg) } + fmt.Printf("\n WHY 2 %v \n", hs.handshakeTimings.elapsedTime()) if !hmac.Equal(hs.clientFinished, finished.verifyData) { c.sendAlert(alertDecryptError) return errors.New("tls: invalid client finished hash") From 4f0dc639e2f737ccba60be9a6646cd5264d8838d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Mon, 17 May 2021 12:17:00 +0100 Subject: [PATCH 66/69] Other debugging --- src/crypto/tls/conn.go | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index 5dc38f917a8..d7b59e14718 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -1051,23 +1051,28 @@ func (c *Conn) writeRecord(typ recordType, data []byte) (int, error) { // readHandshake reads the next handshake message from // the record layer. func (c *Conn) readHandshake() (interface{}, error) { + fmt.Printf("\n %v 1 \n", time.Now().String()) + for c.hand.Len() < 4 { if err := c.readRecord(); err != nil { return nil, err } } + fmt.Printf("\n %v 2 \n", time.Now().String()) data := c.hand.Bytes() n := int(data[1])<<16 | int(data[2])<<8 | int(data[3]) if n > maxHandshake { c.sendAlertLocked(alertInternalError) return nil, c.in.setErrorLocked(fmt.Errorf("tls: handshake message of length %d bytes exceeds maximum of %d bytes", n, maxHandshake)) } + fmt.Printf("\n %v 3 \n", time.Now().String()) for c.hand.Len() < 4+n { if err := c.readRecord(); err != nil { return nil, err } } + fmt.Printf("\n %v 4 \n", time.Now().String()) data = c.hand.Next(4 + n) var m handshakeMessage switch data[0] { @@ -1126,6 +1131,7 @@ func (c *Conn) readHandshake() (interface{}, error) { // so pass in a fresh copy that won't be overwritten. data = append([]byte(nil), data...) + fmt.Printf("\n %s 5 \n", time.Now().String()) if !m.unmarshal(data) { return nil, c.in.setErrorLocked(c.sendAlert(alertUnexpectedMessage)) } From 4adcbf30f6b0ed760c1c711e45f9088db68ecbb8 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Wed, 26 May 2021 18:33:26 +0100 Subject: [PATCH 67/69] Remove all checks --- src/crypto/tls/conn.go | 6 ------ src/crypto/tls/handshake_client_tls13.go | 1 - src/crypto/tls/handshake_server_kemtls.go | 2 -- src/crypto/tls/handshake_server_tls13.go | 11 ----------- 4 files changed, 20 deletions(-) diff --git a/src/crypto/tls/conn.go b/src/crypto/tls/conn.go index d7b59e14718..5dc38f917a8 100644 --- a/src/crypto/tls/conn.go +++ b/src/crypto/tls/conn.go @@ -1051,28 +1051,23 @@ func (c *Conn) writeRecord(typ recordType, data []byte) (int, error) { // readHandshake reads the next handshake message from // the record layer. func (c *Conn) readHandshake() (interface{}, error) { - fmt.Printf("\n %v 1 \n", time.Now().String()) - for c.hand.Len() < 4 { if err := c.readRecord(); err != nil { return nil, err } } - fmt.Printf("\n %v 2 \n", time.Now().String()) data := c.hand.Bytes() n := int(data[1])<<16 | int(data[2])<<8 | int(data[3]) if n > maxHandshake { c.sendAlertLocked(alertInternalError) return nil, c.in.setErrorLocked(fmt.Errorf("tls: handshake message of length %d bytes exceeds maximum of %d bytes", n, maxHandshake)) } - fmt.Printf("\n %v 3 \n", time.Now().String()) for c.hand.Len() < 4+n { if err := c.readRecord(); err != nil { return nil, err } } - fmt.Printf("\n %v 4 \n", time.Now().String()) data = c.hand.Next(4 + n) var m handshakeMessage switch data[0] { @@ -1131,7 +1126,6 @@ func (c *Conn) readHandshake() (interface{}, error) { // so pass in a fresh copy that won't be overwritten. data = append([]byte(nil), data...) - fmt.Printf("\n %s 5 \n", time.Now().String()) if !m.unmarshal(data) { return nil, c.in.setErrorLocked(c.sendAlert(alertUnexpectedMessage)) } diff --git a/src/crypto/tls/handshake_client_tls13.go b/src/crypto/tls/handshake_client_tls13.go index e56b0a9f5c5..ded608bab49 100644 --- a/src/crypto/tls/handshake_client_tls13.go +++ b/src/crypto/tls/handshake_client_tls13.go @@ -169,7 +169,6 @@ func (hs *clientHandshakeStateTLS13) handshake() error { // hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n client 1.3 %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_kemtls.go b/src/crypto/tls/handshake_server_kemtls.go index 369bb8cf34d..20bd50f00ba 100644 --- a/src/crypto/tls/handshake_server_kemtls.go +++ b/src/crypto/tls/handshake_server_kemtls.go @@ -4,7 +4,6 @@ import ( "crypto/hmac" "crypto/kem" "errors" - "fmt" "sync/atomic" ) @@ -51,7 +50,6 @@ func (hs *serverHandshakeStateTLS13) handshakeKEMTLS() error { // hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n server kemtls %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 7d38a66b6df..1131adcec23 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -133,12 +133,8 @@ func (hs *serverHandshakeStateTLS13) handshake() error { return err } - fmt.Println("\n RESETTING?") - fmt.Printf("\n RESETTING? %v", hs.handshakeTimings.elapsedTime()) - // second round of TLS1.3, thrid round for KEMTLS and fourth round for mKEMTLS hs.handshakeTimings.reset() - fmt.Printf("\n RESETTING? %v", hs.handshakeTimings.elapsedTime()) } if err := hs.readClientCertificate(); err != nil { @@ -151,7 +147,6 @@ func (hs *serverHandshakeStateTLS13) handshake() error { //hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n server 1.3 %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) @@ -1158,21 +1153,17 @@ func (hs *serverHandshakeStateTLS13) readClientCertificate() error { } if !hs.requestClientCert() { - fmt.Println("\n GETTING HERE 1") // Make sure the connection is still being verified whether or not // the server requested a client certificate. if c.config.VerifyConnection != nil { - fmt.Printf("\n WHY 4 %v \n", hs.handshakeTimings.elapsedTime()) if err := c.config.VerifyConnection(c.connectionStateLocked()); err != nil { c.sendAlert(alertBadCertificate) return err } } - fmt.Printf("\n WHY 3 %v \n", hs.handshakeTimings.elapsedTime()) return nil } - fmt.Println("\n GETTING HERE 2") // If we requested a client certificate, then the client must send a // certificate message. If it's empty, no CertificateVerify is sent. @@ -1267,7 +1258,6 @@ func (hs *serverHandshakeStateTLS13) readClientFinished() error { return nil } - fmt.Printf("\n WHY 1 %v \n", hs.handshakeTimings.elapsedTime()) msg, err := c.readHandshake() if err != nil { return err @@ -1279,7 +1269,6 @@ func (hs *serverHandshakeStateTLS13) readClientFinished() error { return unexpectedMessageError(finished, msg) } - fmt.Printf("\n WHY 2 %v \n", hs.handshakeTimings.elapsedTime()) if !hmac.Equal(hs.clientFinished, finished.verifyData) { c.sendAlert(alertDecryptError) return errors.New("tls: invalid client finished hash") From 9dd05cf59c9033937d3ae4bf878c337820551018 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Tue, 20 Jul 2021 17:37:51 +0100 Subject: [PATCH 68/69] Remove printing lines --- src/crypto/tls/handshake_client_kemtls.go | 3 --- 1 file changed, 3 deletions(-) diff --git a/src/crypto/tls/handshake_client_kemtls.go b/src/crypto/tls/handshake_client_kemtls.go index 4585be3a21d..d47973ccdf6 100644 --- a/src/crypto/tls/handshake_client_kemtls.go +++ b/src/crypto/tls/handshake_client_kemtls.go @@ -8,7 +8,6 @@ import ( "crypto/hmac" "crypto/kem" "errors" - "fmt" "sync/atomic" ) @@ -66,7 +65,6 @@ func (hs *clientHandshakeStateTLS13) handshakeKEMTLS() error { // hs.handshakeTimings.ExperimentName = experimentName(c) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings) - fmt.Printf("\n client kemtls %+v \n", hs.handshakeTimings) atomic.StoreUint32(&c.handshakeStatus, 1) return nil @@ -112,7 +110,6 @@ func (hs *clientHandshakeStateTLS13) sendClientKEMCiphertext() error { return err } hs.handshakeTimings.WriteKEMCiphertext = hs.handshakeTimings.elapsedTime() - fmt.Printf("\n %v \n", hs.handshakeTimings.WriteKEMCiphertext) // AHS <- HKDF.Extract(dHS, ss_s) ahs = hs.suite.extract(ss, hs.suite.deriveSecret(hs.handshakeSecret, "derived", nil)) From 29e977d0e1d75827f88d0592687384328bca714c Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Sof=C3=ADa=20Celi?= Date: Wed, 21 Jul 2021 03:04:56 +0100 Subject: [PATCH 69/69] Add debugging --- src/crypto/tls/handshake_server_tls13.go | 1 + 1 file changed, 1 insertion(+) diff --git a/src/crypto/tls/handshake_server_tls13.go b/src/crypto/tls/handshake_server_tls13.go index 1131adcec23..1957f815242 100644 --- a/src/crypto/tls/handshake_server_tls13.go +++ b/src/crypto/tls/handshake_server_tls13.go @@ -145,6 +145,7 @@ func (hs *serverHandshakeStateTLS13) handshake() error { } //hs.handshakeTimings.ExperimentName = experimentName(c) + fmt.Printf("\n %+v \n", hs.handshakeTimings) hs.handshakeTimings.finish() c.handleCFEvent(hs.handshakeTimings)