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bls12_377
bls12_377
 
 
bls12_381
bls12_381
 
 
bn254
bn254
 
 
bw6_761
bw6_761
 
 
bw6_767
bw6_767
 
 
cp6_782
cp6_782
 
 
curve-constraint-tests
curve-constraint-tests
 
 
curve25519
curve25519
 
 
ed25519
ed25519
 
 
ed_on_bls12_377
ed_on_bls12_377
 
 
ed_on_bls12_381
ed_on_bls12_381
 
 
ed_on_bls12_381_bandersnatch
ed_on_bls12_381_bandersnatch
 
 
ed_on_bn254
ed_on_bn254
 
 
ed_on_bw6_761
ed_on_bw6_761
 
 
ed_on_cp6_782
ed_on_cp6_782
 
 
ed_on_mnt4_298
ed_on_mnt4_298
 
 
ed_on_mnt4_753
ed_on_mnt4_753
 
 
grumpkin
grumpkin
 
 
mnt4_298
mnt4_298
 
 
mnt4_753
mnt4_753
 
 
mnt6_298
mnt6_298
 
 
mnt6_753
mnt6_753
 
 
pallas
pallas
 
 
scripts
scripts
 
 
secp256k1
secp256k1
 
 
secp256r1
secp256r1
 
 
secp384r1
secp384r1
 
 
secq256k1
secq256k1
 
 
vesta
vesta
 
 
CHANGELOG.md
CHANGELOG.md
 
 
Cargo.toml
Cargo.toml
 
 
LICENSE-APACHE
LICENSE-APACHE
 
 
LICENSE-MIT
LICENSE-MIT
 
 
README.md
README.md
 
 

README.md

Curve implementations

This repository contains implementations of some popular elliptic curves. The curve API implemented here matches the curve traits defined in ark-ec.

BLS12-381 and embedded curves

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
  • ark-grumpkin: Implements the Grumpkin curve. A curve that forms a cycle with 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