3 releases

0.4.0 Jan 17, 2023
0.4.0-alpha.2 Dec 28, 2022
0.4.0-alpha.1 Nov 29, 2022

#423 in Cryptography

Download history 26/week @ 2022-11-28 4/week @ 2022-12-05 3/week @ 2022-12-12 2/week @ 2022-12-19 95/week @ 2022-12-26 74/week @ 2023-01-02 31/week @ 2023-01-09 75/week @ 2023-01-16 47/week @ 2023-01-23 56/week @ 2023-01-30 29/week @ 2023-02-06 42/week @ 2023-02-13 35/week @ 2023-02-20 26/week @ 2023-02-27 87/week @ 2023-03-06 72/week @ 2023-03-13

231 downloads per month
Used in 6 crates (3 directly)

MIT/Apache

16KB
177 lines

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-bls12-377: 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

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

lib.rs:

This library implements the ed25519 twisted Edwards curve.

Curve information:

  • Base field: q = 57896044618658097711785492504343953926634992332820282019728792003956564819949
  • Scalar field: r = 7237005577332262213973186563042994240857116359379907606001950938285454250989
  • Curve equation: ax^2 + y^2 =1 + dx^2y^2, where
    • a = -1
    • d = -121665 / 121666

Dependencies

~4.5MB
~95K SLoC