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
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).
- BLS12-381 (Zcash)
- BN256 (Ethereum)
- BLS377 (ZEXE)
- BW6-761 (EC supporting pairing on BLS377 field of definition)
gurvy is tested with the last 2 major releases of Go (1.14 and 1.15).
go get github.com/consensys/gurvyNote if that if you use go modules, in go.mod the module path is case sensitive (use consensys and not ConsenSys).
The APIs are consistent accross the curves. For example, here is bn256 godoc.
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 | 606000 |
| 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 | 949000 |
*note that some routines don't have assembly implementation in goff yet.
We use SemVer for versioning. For the versions available, see the tags on this repository.
This project is licensed under the Apache 2 License - see the LICENSE file for details