ConsenSys / Gurvy
Licence: apache-2.0
gurvy implements Elliptic Curve Cryptography (+Pairing) for BLS12-381, BLS12-377, BW6-761, and BN256. Originally developed (and used) by gnark
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gurvy
gurvy implements Elliptic Curve Cryptography (+Pairing) for BLS381, BLS377 and BN256.
It is actively developed and maintained by the team ([email protected]) behind:
gnark: a framework to execute (and verify) algorithms in zero-knowledgegoff: fast finite field arithmetic in Golang
Warning
gurvy has not been audited and is provided as-is, use at your own risk. In particular, gurvy makes no security guarantees such as constant time implementation or side-channel attack resistance.
gurvy is optimized for 64bits architectures (x86 amd64) and tested on Unix (Linux / macOS).
Curves supported
- BLS12-381 (Zcash)
- BN256 (Ethereum)
- BLS377 (ZEXE)
- BW6-761 (EC supporting pairing on BLS377 field of definition)
Getting started
Go version
gurvy is tested with the last 2 major releases of Go (1.14 and 1.15).
Install gurvy
go get github.com/consensys/gurvy
Note if that if you use go modules, in go.mod the module path is case sensitive (use consensys and not ConsenSys).
Documentation
The APIs are consistent accross the curves. For example, here is bn256 godoc.
Benchmarks
Here are our measurements comparing gurvy (and goff our finite field library) with mcl.
These benchmarks ran on a AWS z1d.3xlarge instance, with hyperthreading disabled.
| bn256 | mcl(ns/op) | gurvy & goff (ns/op) |
|---|---|---|
| Fp::Add | 3.32 | 3.44 |
| Fp::Mul | 18.43 | 16.1 |
| Fp::Square | 18.64 | 15.1 |
| Fp::Inv | 690.55 | 2080* |
| Fp::Pow | 6485 | 7440* |
| G1::ScalarMul | 41394 | 56900 |
| G1::Add | 213 | 224 |
| G1::Double | 155 | 178 |
| G2::ScalarMul | 88423 | 141000 |
| G2::Add | 598 | 871 |
| G2::Double | 371 | 386 |
| Pairing | 478244 | 489258 |
| bls381 | mcl(ns/op) | gurvy & goff (ns/op) |
|---|---|---|
| Fp::Add | 5.42 | 4.6 |
| Fp::Mul | 33.63 | 29.3 |
| Fp::Square | 33.86 | 27 |
| Fp::Inv | 1536 | 4390* |
| Fp::Pow | 18039 | 18300* |
| G1::ScalarMul | 76799 | 91500 |
| G1::Add | 424 | 389 |
| G1::Double | 308 | 301 |
| G2::ScalarMul | 159068 | 273000 |
| G2::Add | 1162 | 1240 |
| G2::Double | 727 | 799 |
| Pairing | 676513 | 707984 |
*note that some routines don't have assembly implementation in goff yet.
Versioning
We use SemVer for versioning. For the versions available, see the tags on this repository.
License
This project is licensed under the Apache 2 License - see the LICENSE file for details
Note that the project description data, including the texts, logos, images, and/or trademarks,
for each open source project belongs to its rightful owner.
If you wish to add or remove any projects, please contact us at [email protected].