Curve implementations

This repository contains implementations of some popular elliptic curves. The curve API implemented here matches the curve traits defined here in the arkworks-rs/algebra repository.

BLS12-381 and embedded curves

ark-bls12-381: Implements the BLS12-381 pairing-friendly curve
ark-ed-on-bls12-381: Implements a Twisted Edwards curve atop the scalar field of BLS12-381
ark-ed-on-bls12-381-bandersnatch: Implements Bandersnatch, another Twisted Edwards curve atop the scalar field of BLS12-381

BLS12-377 and related curves

ark-bls12-377: Implements the BLS12-377 pairing-friendly curve
ark-ed-on-bls12-377: Implements a Twisted Edwards curve atop the scalar field of BLS12-377
ark-bw6-761: Implements the BW6-761 pairing-friendly curve, which is a curve whose scalar field equals the base field of BLS12-377
ark-ed-on-bw6-761: Implements a Twisted Edwards curve atop the scalar field of BW6-761
ark-cp6-782: Implements the CP6-782 pairing-friendly curve, which is a curve whose scalar field equals the base field of BLS12-377
ark-ed-on-cp6-782: Implements a Twisted Edwards curve atop the scalar field of CP6-782. This is the same curve as in ark-ed-on-bw6-761

BN254 and related curves

ark-bn254: Implements the BN254 pairing-friendly curve
ark-ed-on-bn254: Implements a Twisted Edwards curve atop the scalar field of BN254

MNT-298 cycle of curves and related curves

ark-mnt4-298: Implements the MNT4-298 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT6-298
ark-mnt6-298: Implements the MNT6-298 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT4-298
ark-ed-on-mnt4-298: Implements a Twisted Edwards curve atop the scalar field of MNT4-298

MNT-753 cycle of curves and related curves

ark-mnt4-753: Implements the MNT4-753 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT6-753
ark-mnt6-753: Implements the MNT6-753 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT4-753
ark-ed-on-mnt4-753: Implements a Twisted Edwards curve atop the scalar field of MNT4-753

Pasta cycle of curves

ark-pallas: Implements Pallas, a prime-order curve that forms an amicable pair with Vesta
ark-vesta: Implements Vesta, a prime-order curve that forms an amicable pair with Pallas

Name	Name	Last commit message	Last commit date
Latest commit weikengchen Last PR to get the curve tests to work (arkworks-rs#113 ) Aug 22, 2022 52577f9 · Aug 22, 2022 History 86 Commits
.github	.github	Reduce CI time by parallelizing per-curve tests (arkworks-rs#52 )	Apr 11, 2021
bls12_377	bls12_377	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
bls12_381	bls12_381	Let `cargo build` work again for the new arkworks-rs algebra (arkwork…	Aug 22, 2022
bn254	bn254	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
bw6_761	bw6_761	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
cp6_782	cp6_782	Let `cargo build` work again for the new arkworks-rs algebra (arkwork…	Aug 22, 2022
curve-benches	curve-benches	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
curve-constraint-tests	curve-constraint-tests	Let `ark-curve-constraint-tests` work with latest arkworks-rs algebra (…	Aug 22, 2022
ed_on_bls12_377	ed_on_bls12_377	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
ed_on_bls12_381	ed_on_bls12_381	Last PR to get the curve tests to work (arkworks-rs#113 )	Aug 22, 2022
ed_on_bls12_381_bandersnatch	ed_on_bls12_381_bandersnatch	Last PR to get the curve tests to work (arkworks-rs#113 )	Aug 22, 2022
ed_on_bn254	ed_on_bn254	Last PR to get the curve tests to work (arkworks-rs#113 )	Aug 22, 2022
ed_on_bw6_761	ed_on_bw6_761	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
ed_on_cp6_782	ed_on_cp6_782	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
ed_on_mnt4_298	ed_on_mnt4_298	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
ed_on_mnt4_753	ed_on_mnt4_753	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
mnt4_298	mnt4_298	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
mnt4_753	mnt4_753	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
mnt6_298	mnt6_298	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
mnt6_753	mnt6_753	Catch up with algebra (arkworks-rs#106 )	Jul 29, 2022
pallas	pallas	Fix benchmarks and fix accidental renaming of Pallas/Vesta (arkworks-…	Aug 1, 2022
scripts	scripts	Linkify changelog (arkworks-rs#46 )	Mar 23, 2021
vesta	vesta	Fix benchmarks and fix accidental renaming of Pallas/Vesta (arkworks-…	Aug 1, 2022
.gitignore	.gitignore	Initial commit	Oct 12, 2020
CHANGELOG.md	CHANGELOG.md	`QUADRATIC_NONRESIDUE` is never used, remove (arkworks-rs#104 )	Jun 30, 2022
CONTRIBUTING.md	CONTRIBUTING.md	Add Changelog and contributing file (arkworks-rs#31 )	Dec 16, 2020
Cargo.toml	Cargo.toml	Pull ark-std from latest master (arkworks-rs#100 )	Apr 11, 2022
LICENSE-APACHE	LICENSE-APACHE	Initial commit	Oct 12, 2020
LICENSE-MIT	LICENSE-MIT	Initial commit	Oct 12, 2020
README.md	README.md	Implement the Bandersnatch curve (arkworks-rs#64 )	Jun 30, 2021
rustfmt.toml	rustfmt.toml	Upgrade to work with latest `ark-ff` (arkworks-rs#95 )	Mar 7, 2022

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Curve implementations

BLS12-381 and embedded curves

BLS12-377 and related curves

BN254 and related curves

MNT-298 cycle of curves and related curves

MNT-753 cycle of curves and related curves

Pasta cycle of curves

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Curve implementations

BLS12-381 and embedded curves

BLS12-377 and related curves

BN254 and related curves

MNT-298 cycle of curves and related curves

MNT-753 cycle of curves and related curves

Pasta cycle of curves

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