klspy


Nameklspy JSON
Version 2.0.3 PyPI version JSON
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home_pagehttps://github.com/Chik-Network/kls-signatures
SummaryBLS signatures in c++ (python bindings)
upload_time2024-05-16 08:45:14
maintainerNone
docs_urlNone
authorMariano Sorgente
requires_python>=3.7
licenseNone
keywords
VCS
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requirements No requirements were recorded.
Travis-CI No Travis.
coveralls test coverage No coveralls.
            # BLS Signatures implementation

[![Build and Test C++, Javascript, and Python](https://github.com/Chik-Network/kls-signatures/actions/workflows/build-test.yaml/badge.svg)](https://github.com/Chik-Network/kls-signatures/actions/workflows/build-test.yaml)
![PyPI](https://img.shields.io/pypi/v/klspy?logo=pypi)
![PyPI - Format](https://img.shields.io/pypi/format/klspy?logo=pypi)
![GitHub](https://img.shields.io/github/license/Chik-Network/kls-signatures?logo=Github)

[![CodeQL](https://github.com/Chik-Network/kls-signatures/actions/workflows/codeql.yml/badge.svg)](https://github.com/Chik-Network/kls-signatures/actions/workflows/codeql.yml)

[![Coverage Status](https://coveralls.io/repos/github/Chik-Network/kls-signatures/badge.svg?branch=main)](https://coveralls.io/github/Chik-Network/kls-signatures?branch=main)

NOTE: THIS LIBRARY IS NOT YET FORMALLY REVIEWED FOR SECURITY

NOTE: THIS LIBRARY WAS SHIFTED TO THE IETF BLS SPECIFICATION ON 7/16/20

Implements BLS signatures with aggregation using [blst library](https://github.com/supranational/blst.git)
for cryptographic primitives (pairings, EC, hashing) according to the
[IETF BLS RFC](https://datatracker.ietf.org/doc/draft-irtf-cfrg-bls-signature/)
with [these curve parameters](https://datatracker.ietf.org/doc/draft-irtf-cfrg-pairing-friendly-curves/)
for BLS12-381. The blst library has been [audited](https://medium.com/supranational/introducing-blst-2b6a988d68ee).

Features:

* Non-interactive signature aggregation following IETF specification
* Works on Windows, Mac, Linux, BSD, arm64, RISC-V
* Efficient verification using Proof of Posssesion (only one pairing per distinct message)
* Aggregate public keys and private keys
* [EIP-2333](https://eips.ethereum.org/EIPS/eip-2333) key derivation (including unhardened BIP-32-like keys)
* Key and signature serialization
* Batch verification
* [Python bindings](https://github.com/Chik-Network/kls-signatures/tree/main/python-bindings)
* [Pure python bls12-381 and signatures](https://github.com/Chik-Network/kls-signatures/tree/main/python-impl)
* [JavaScript bindings](https://github.com/Chik-Network/kls-signatures/tree/main/js-bindings)

## Before you start

This library uses minimum public key sizes (MPL). A G2Element is a signature (96 bytes), and a G1Element is a public key (48 bytes). A private key is a 32 byte integer. There are three schemes: Basic, Augmented, and ProofOfPossession. Augmented should be enough for most use cases, and ProofOfPossession can be used where verification must be fast.

## Import the library

```c++
#include "bls.hpp"
using namespace bls;
```

## Creating keys and signatures

```c++
// Example seed, used to generate private key. Always use
// a secure RNG with sufficient entropy to generate a seed (at least 32 bytes).
vector<uint8_t> seed = {0,  50, 6,  244, 24,  199, 1,  25,  52,  88,  192,
                        19, 18, 12, 89,  6,   220, 18, 102, 58,  209, 82,
                        12, 62, 89, 110, 182, 9,   44, 20,  254, 22};

PrivateKey sk = AugSchemeMPL().KeyGen(seed);
G1Element pk = sk.GetG1Element();

vector<uint8_t> message = {1, 2, 3, 4, 5};  // Message is passed in as a byte vector
G2Element signature = AugSchemeMPL().Sign(sk, message);

// Verify the signature
bool ok = AugSchemeMPL().Verify(pk, message, signature);
```

## Serializing keys and signatures to bytes

```c++
vector<uint8_t> skBytes = sk.Serialize();
vector<uint8_t> pkBytes = pk.Serialize();
vector<uint8_t> signatureBytes = signature.Serialize();

cout << Util::HexStr(skBytes) << endl;    // 32 bytes printed in hex
cout << Util::HexStr(pkBytes) << endl;    // 48 bytes printed in hex
cout << Util::HexStr(signatureBytes) << endl;  // 96 bytes printed in hex
```

## Loading keys and signatures from bytes

```c++
// Takes vector of 32 bytes
PrivateKey skc = PrivateKey::FromByteVector(skBytes);

// Takes vector of 48 bytes
pk = G1Element::FromByteVector(pkBytes);

// Takes vector of 96 bytes
signature = G2Element::FromByteVector(signatureBytes);
```

## Create aggregate signatures

```c++
// Generate some more private keys
seed[0] = 1;
PrivateKey sk1 = AugSchemeMPL().KeyGen(seed);
seed[0] = 2;
PrivateKey sk2 = AugSchemeMPL().KeyGen(seed);
vector<uint8_t> message2 = {1, 2, 3, 4, 5, 6, 7};

// Generate first sig
G1Element pk1 = sk1.GetG1Element();
G2Element sig1 = AugSchemeMPL().Sign(sk1, message);

// Generate second sig
G1Element pk2 = sk2.GetG1Element();
G2Element sig2 = AugSchemeMPL().Sign(sk2, message2);

// Signatures can be non-interactively combined by anyone
G2Element aggSig = AugSchemeMPL().Aggregate({sig1, sig2});

ok = AugSchemeMPL().AggregateVerify({pk1, pk2}, {message, message2}, aggSig);
```

## Arbitrary trees of aggregates

```c++
seed[0] = 3;
PrivateKey sk3 = AugSchemeMPL().KeyGen(seed);
G1Element pk3 = sk3.GetG1Element();
vector<uint8_t> message3 = {100, 2, 254, 88, 90, 45, 23};
G2Element sig3 = AugSchemeMPL().Sign(sk3, message3);


G2Element aggSigFinal = AugSchemeMPL().Aggregate({aggSig, sig3});
ok = AugSchemeMPL().AggregateVerify({pk1, pk2, pk3}, {message, message2, message3}, aggSigFinal);

```

## Very fast verification with Proof of Possession scheme

```c++
// If the same message is signed, you can use Proof of Posession (PopScheme) for efficiency
// A proof of possession MUST be passed around with the PK to ensure security.

G2Element popSig1 = PopSchemeMPL().Sign(sk1, message);
G2Element popSig2 = PopSchemeMPL().Sign(sk2, message);
G2Element popSig3 = PopSchemeMPL().Sign(sk3, message);
G2Element pop1 = PopSchemeMPL().PopProve(sk1);
G2Element pop2 = PopSchemeMPL().PopProve(sk2);
G2Element pop3 = PopSchemeMPL().PopProve(sk3);

ok = PopSchemeMPL().PopVerify(pk1, pop1);
ok = PopSchemeMPL().PopVerify(pk2, pop2);
ok = PopSchemeMPL().PopVerify(pk3, pop3);
G2Element popSigAgg = PopSchemeMPL().Aggregate({popSig1, popSig2, popSig3});

ok = PopSchemeMPL().FastAggregateVerify({pk1, pk2, pk3}, message, popSigAgg);

// Aggregate public key, indistinguishable from a single public key
G1Element popAggPk = pk1 + pk2 + pk3;
ok = PopSchemeMPL().Verify(popAggPk, message, popSigAgg);

// Aggregate private keys
PrivateKey aggSk = PrivateKey::Aggregate({sk1, sk2, sk3});
ok = (PopSchemeMPL().Sign(aggSk, message) == popSigAgg);
```

## HD keys using [EIP-2333](https://github.com/ethereum/EIPs/pull/2333)

```c++
// You can derive 'child' keys from any key, to create arbitrary trees. 4 byte indeces are used.
// Hardened (more secure, but no parent pk -> child pk)
PrivateKey masterSk = AugSchemeMPL().KeyGen(seed);
PrivateKey child = AugSchemeMPL().DeriveChildSk(masterSk, 152);
PrivateKey grandChild = AugSchemeMPL().DeriveChildSk(child, 952)

// Unhardened (less secure, but can go from parent pk -> child pk), BIP32 style
G1Element masterPk = masterSk.GetG1Element();
PrivateKey childU = AugSchemeMPL().DeriveChildSkUnhardened(masterSk, 22);
PrivateKey grandchildU = AugSchemeMPL().DeriveChildSkUnhardened(childU, 0);

G1Element childUPk = AugSchemeMPL().DeriveChildPkUnhardened(masterPk, 22);
G1Element grandchildUPk = AugSchemeMPL().DeriveChildPkUnhardened(childUPk, 0);

ok = (grandchildUPk == grandchildU.GetG1Element();
```

## Build

Cmake 3.14+, a c++ compiler, python3 and python[3.x]-dev (for bindings) are required for building.

```bash
mkdir build
cd build
cmake ../
cmake --build . -- -j 6
```

### Run tests

```bash
./build/src/runtest
```

### Run benchmarks

```bash
./build/src/runbench
```

On a 3.5 GHz i7 Mac, verification takes about 1.1ms per signature, and signing takes 1.3ms.

### Link the library to use it

```bash
g++ -Wl,-no_pie -std=c++11 -Ikls-signatures/src -L./kls-signatures/build/ -l bls yourapp.cpp
```

## Notes on dependencies

We use Libsodium which provides secure memory
allocation. To install it, either download them from github and
follow the instructions for each repo, or use a package manager like APT or
brew. You can follow the recipe used to build python wheels for multiple
platforms in `.github/workflows/`.

## Discussion

Discussion about this library and other Chik related development is in the #chik-development
channel of Chik's [Discord](https://discord.gg/SNbcMMvNBE).

## Code style

* Always use vector<uint8_t> for bytes
* Use size_t for size variables
* Uppercase method names
* Prefer static constructors
* Avoid using templates
* Objects allocate and free their own memory
* Use cpplint with default rules
* Use SecAlloc and SecFree when handling secrets

## ci Building

The primary build process for this repository is to use GitHub Actions to
build binary wheels for MacOS, Linux (x64 and aarch64), and Windows and publish
them with a source wheel on PyPi. MacOS ARM64 is also supported.
See `.github/workflows/build.yml`. CMake uses
[FetchContent](https://cmake.org/cmake/help/latest/module/FetchContent.html)
to download [pybind11](https://github.com/pybind/pybind11) for the Python
bindings. Building
is then managed by [cibuildwheel](https://github.com/joerick/cibuildwheel).
Further installation is then available via `pip install klspy` e.g. The ci
builds include a statically linked libsodium.

## Contributing and workflow

Contributions are welcome and more details are available in chik-blockchain's
[CONTRIBUTING.md](https://github.com/Chik-Network/chik-blockchain/blob/main/CONTRIBUTING.md).

The main branch is usually the currently released latest version on PyPI.
Note that at times kls-signatures/klspy will be ahead of the release version
that chik-blockchain requires in it's main/release version in preparation
for a new chik-blockchain release. Please branch or fork main and then create
a pull request to the main branch. Linear merging is enforced on main and
merging requires a completed review. PRs will kick off a GitHub actions ci
for building and testing.

## Specification and test vectors

The [IETF bls draft](https://datatracker.ietf.org/doc/draft-irtf-cfrg-hash-to-curve/)
is followed. Test vectors can also be seen in the python and cpp test files.

## Libsodium license

The libsodium static library is licensed under the ISC license which requires
the following copyright notice.

>ISC License
>
>Copyright (c) 2013-2020
>Frank Denis \<j at pureftpd dot org\>
>
>Permission to use, copy, modify, and/or distribute this software for any
>purpose with or without fee is hereby granted, provided that the above
>copyright notice and this permission notice appear in all copies.
>
>THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
>WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
>MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
>ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
>WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
>ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
>OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

## BLST license

BLST is used with the
[Apache 2.0 license](https://github.com/supranational/blst/blob/master/LICENSE)

            

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    "description": "# BLS Signatures implementation\n\n[![Build and Test C++, Javascript, and Python](https://github.com/Chik-Network/kls-signatures/actions/workflows/build-test.yaml/badge.svg)](https://github.com/Chik-Network/kls-signatures/actions/workflows/build-test.yaml)\n![PyPI](https://img.shields.io/pypi/v/klspy?logo=pypi)\n![PyPI - Format](https://img.shields.io/pypi/format/klspy?logo=pypi)\n![GitHub](https://img.shields.io/github/license/Chik-Network/kls-signatures?logo=Github)\n\n[![CodeQL](https://github.com/Chik-Network/kls-signatures/actions/workflows/codeql.yml/badge.svg)](https://github.com/Chik-Network/kls-signatures/actions/workflows/codeql.yml)\n\n[![Coverage Status](https://coveralls.io/repos/github/Chik-Network/kls-signatures/badge.svg?branch=main)](https://coveralls.io/github/Chik-Network/kls-signatures?branch=main)\n\nNOTE: THIS LIBRARY IS NOT YET FORMALLY REVIEWED FOR SECURITY\n\nNOTE: THIS LIBRARY WAS SHIFTED TO THE IETF BLS SPECIFICATION ON 7/16/20\n\nImplements BLS signatures with aggregation using [blst library](https://github.com/supranational/blst.git)\nfor cryptographic primitives (pairings, EC, hashing) according to the\n[IETF BLS RFC](https://datatracker.ietf.org/doc/draft-irtf-cfrg-bls-signature/)\nwith [these curve parameters](https://datatracker.ietf.org/doc/draft-irtf-cfrg-pairing-friendly-curves/)\nfor BLS12-381. The blst library has been [audited](https://medium.com/supranational/introducing-blst-2b6a988d68ee).\n\nFeatures:\n\n* Non-interactive signature aggregation following IETF specification\n* Works on Windows, Mac, Linux, BSD, arm64, RISC-V\n* Efficient verification using Proof of Posssesion (only one pairing per distinct message)\n* Aggregate public keys and private keys\n* [EIP-2333](https://eips.ethereum.org/EIPS/eip-2333) key derivation (including unhardened BIP-32-like keys)\n* Key and signature serialization\n* Batch verification\n* [Python bindings](https://github.com/Chik-Network/kls-signatures/tree/main/python-bindings)\n* [Pure python bls12-381 and signatures](https://github.com/Chik-Network/kls-signatures/tree/main/python-impl)\n* [JavaScript bindings](https://github.com/Chik-Network/kls-signatures/tree/main/js-bindings)\n\n## Before you start\n\nThis library uses minimum public key sizes (MPL). A G2Element is a signature (96 bytes), and a G1Element is a public key (48 bytes). A private key is a 32 byte integer. There are three schemes: Basic, Augmented, and ProofOfPossession. Augmented should be enough for most use cases, and ProofOfPossession can be used where verification must be fast.\n\n## Import the library\n\n```c++\n#include \"bls.hpp\"\nusing namespace bls;\n```\n\n## Creating keys and signatures\n\n```c++\n// Example seed, used to generate private key. Always use\n// a secure RNG with sufficient entropy to generate a seed (at least 32 bytes).\nvector<uint8_t> seed = {0,  50, 6,  244, 24,  199, 1,  25,  52,  88,  192,\n                        19, 18, 12, 89,  6,   220, 18, 102, 58,  209, 82,\n                        12, 62, 89, 110, 182, 9,   44, 20,  254, 22};\n\nPrivateKey sk = AugSchemeMPL().KeyGen(seed);\nG1Element pk = sk.GetG1Element();\n\nvector<uint8_t> message = {1, 2, 3, 4, 5};  // Message is passed in as a byte vector\nG2Element signature = AugSchemeMPL().Sign(sk, message);\n\n// Verify the signature\nbool ok = AugSchemeMPL().Verify(pk, message, signature);\n```\n\n## Serializing keys and signatures to bytes\n\n```c++\nvector<uint8_t> skBytes = sk.Serialize();\nvector<uint8_t> pkBytes = pk.Serialize();\nvector<uint8_t> signatureBytes = signature.Serialize();\n\ncout << Util::HexStr(skBytes) << endl;    // 32 bytes printed in hex\ncout << Util::HexStr(pkBytes) << endl;    // 48 bytes printed in hex\ncout << Util::HexStr(signatureBytes) << endl;  // 96 bytes printed in hex\n```\n\n## Loading keys and signatures from bytes\n\n```c++\n// Takes vector of 32 bytes\nPrivateKey skc = PrivateKey::FromByteVector(skBytes);\n\n// Takes vector of 48 bytes\npk = G1Element::FromByteVector(pkBytes);\n\n// Takes vector of 96 bytes\nsignature = G2Element::FromByteVector(signatureBytes);\n```\n\n## Create aggregate signatures\n\n```c++\n// Generate some more private keys\nseed[0] = 1;\nPrivateKey sk1 = AugSchemeMPL().KeyGen(seed);\nseed[0] = 2;\nPrivateKey sk2 = AugSchemeMPL().KeyGen(seed);\nvector<uint8_t> message2 = {1, 2, 3, 4, 5, 6, 7};\n\n// Generate first sig\nG1Element pk1 = sk1.GetG1Element();\nG2Element sig1 = AugSchemeMPL().Sign(sk1, message);\n\n// Generate second sig\nG1Element pk2 = sk2.GetG1Element();\nG2Element sig2 = AugSchemeMPL().Sign(sk2, message2);\n\n// Signatures can be non-interactively combined by anyone\nG2Element aggSig = AugSchemeMPL().Aggregate({sig1, sig2});\n\nok = AugSchemeMPL().AggregateVerify({pk1, pk2}, {message, message2}, aggSig);\n```\n\n## Arbitrary trees of aggregates\n\n```c++\nseed[0] = 3;\nPrivateKey sk3 = AugSchemeMPL().KeyGen(seed);\nG1Element pk3 = sk3.GetG1Element();\nvector<uint8_t> message3 = {100, 2, 254, 88, 90, 45, 23};\nG2Element sig3 = AugSchemeMPL().Sign(sk3, message3);\n\n\nG2Element aggSigFinal = AugSchemeMPL().Aggregate({aggSig, sig3});\nok = AugSchemeMPL().AggregateVerify({pk1, pk2, pk3}, {message, message2, message3}, aggSigFinal);\n\n```\n\n## Very fast verification with Proof of Possession scheme\n\n```c++\n// If the same message is signed, you can use Proof of Posession (PopScheme) for efficiency\n// A proof of possession MUST be passed around with the PK to ensure security.\n\nG2Element popSig1 = PopSchemeMPL().Sign(sk1, message);\nG2Element popSig2 = PopSchemeMPL().Sign(sk2, message);\nG2Element popSig3 = PopSchemeMPL().Sign(sk3, message);\nG2Element pop1 = PopSchemeMPL().PopProve(sk1);\nG2Element pop2 = PopSchemeMPL().PopProve(sk2);\nG2Element pop3 = PopSchemeMPL().PopProve(sk3);\n\nok = PopSchemeMPL().PopVerify(pk1, pop1);\nok = PopSchemeMPL().PopVerify(pk2, pop2);\nok = PopSchemeMPL().PopVerify(pk3, pop3);\nG2Element popSigAgg = PopSchemeMPL().Aggregate({popSig1, popSig2, popSig3});\n\nok = PopSchemeMPL().FastAggregateVerify({pk1, pk2, pk3}, message, popSigAgg);\n\n// Aggregate public key, indistinguishable from a single public key\nG1Element popAggPk = pk1 + pk2 + pk3;\nok = PopSchemeMPL().Verify(popAggPk, message, popSigAgg);\n\n// Aggregate private keys\nPrivateKey aggSk = PrivateKey::Aggregate({sk1, sk2, sk3});\nok = (PopSchemeMPL().Sign(aggSk, message) == popSigAgg);\n```\n\n## HD keys using [EIP-2333](https://github.com/ethereum/EIPs/pull/2333)\n\n```c++\n// You can derive 'child' keys from any key, to create arbitrary trees. 4 byte indeces are used.\n// Hardened (more secure, but no parent pk -> child pk)\nPrivateKey masterSk = AugSchemeMPL().KeyGen(seed);\nPrivateKey child = AugSchemeMPL().DeriveChildSk(masterSk, 152);\nPrivateKey grandChild = AugSchemeMPL().DeriveChildSk(child, 952)\n\n// Unhardened (less secure, but can go from parent pk -> child pk), BIP32 style\nG1Element masterPk = masterSk.GetG1Element();\nPrivateKey childU = AugSchemeMPL().DeriveChildSkUnhardened(masterSk, 22);\nPrivateKey grandchildU = AugSchemeMPL().DeriveChildSkUnhardened(childU, 0);\n\nG1Element childUPk = AugSchemeMPL().DeriveChildPkUnhardened(masterPk, 22);\nG1Element grandchildUPk = AugSchemeMPL().DeriveChildPkUnhardened(childUPk, 0);\n\nok = (grandchildUPk == grandchildU.GetG1Element();\n```\n\n## Build\n\nCmake 3.14+, a c++ compiler, python3 and python[3.x]-dev (for bindings) are required for building.\n\n```bash\nmkdir build\ncd build\ncmake ../\ncmake --build . -- -j 6\n```\n\n### Run tests\n\n```bash\n./build/src/runtest\n```\n\n### Run benchmarks\n\n```bash\n./build/src/runbench\n```\n\nOn a 3.5 GHz i7 Mac, verification takes about 1.1ms per signature, and signing takes 1.3ms.\n\n### Link the library to use it\n\n```bash\ng++ -Wl,-no_pie -std=c++11 -Ikls-signatures/src -L./kls-signatures/build/ -l bls yourapp.cpp\n```\n\n## Notes on dependencies\n\nWe use Libsodium which provides secure memory\nallocation. To install it, either download them from github and\nfollow the instructions for each repo, or use a package manager like APT or\nbrew. You can follow the recipe used to build python wheels for multiple\nplatforms in `.github/workflows/`.\n\n## Discussion\n\nDiscussion about this library and other Chik related development is in the #chik-development\nchannel of Chik's [Discord](https://discord.gg/SNbcMMvNBE).\n\n## Code style\n\n* Always use vector<uint8_t> for bytes\n* Use size_t for size variables\n* Uppercase method names\n* Prefer static constructors\n* Avoid using templates\n* Objects allocate and free their own memory\n* Use cpplint with default rules\n* Use SecAlloc and SecFree when handling secrets\n\n## ci Building\n\nThe primary build process for this repository is to use GitHub Actions to\nbuild binary wheels for MacOS, Linux (x64 and aarch64), and Windows and publish\nthem with a source wheel on PyPi. MacOS ARM64 is also supported.\nSee `.github/workflows/build.yml`. CMake uses\n[FetchContent](https://cmake.org/cmake/help/latest/module/FetchContent.html)\nto download [pybind11](https://github.com/pybind/pybind11) for the Python\nbindings. Building\nis then managed by [cibuildwheel](https://github.com/joerick/cibuildwheel).\nFurther installation is then available via `pip install klspy` e.g. The ci\nbuilds include a statically linked libsodium.\n\n## Contributing and workflow\n\nContributions are welcome and more details are available in chik-blockchain's\n[CONTRIBUTING.md](https://github.com/Chik-Network/chik-blockchain/blob/main/CONTRIBUTING.md).\n\nThe main branch is usually the currently released latest version on PyPI.\nNote that at times kls-signatures/klspy will be ahead of the release version\nthat chik-blockchain requires in it's main/release version in preparation\nfor a new chik-blockchain release. Please branch or fork main and then create\na pull request to the main branch. Linear merging is enforced on main and\nmerging requires a completed review. PRs will kick off a GitHub actions ci\nfor building and testing.\n\n## Specification and test vectors\n\nThe [IETF bls draft](https://datatracker.ietf.org/doc/draft-irtf-cfrg-hash-to-curve/)\nis followed. Test vectors can also be seen in the python and cpp test files.\n\n## Libsodium license\n\nThe libsodium static library is licensed under the ISC license which requires\nthe following copyright notice.\n\n>ISC License\n>\n>Copyright (c) 2013-2020\n>Frank Denis \\<j at pureftpd dot org\\>\n>\n>Permission to use, copy, modify, and/or distribute this software for any\n>purpose with or without fee is hereby granted, provided that the above\n>copyright notice and this permission notice appear in all copies.\n>\n>THE SOFTWARE IS PROVIDED \"AS IS\" AND THE AUTHOR DISCLAIMS ALL WARRANTIES\n>WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF\n>MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR\n>ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES\n>WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN\n>ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF\n>OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.\n\n## BLST license\n\nBLST is used with the\n[Apache 2.0 license](https://github.com/supranational/blst/blob/master/LICENSE)\n",
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