2 releases

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

#1108 in Cryptography

Download history 46/week @ 2022-12-23 72/week @ 2022-12-30 79/week @ 2023-01-06 50/week @ 2023-01-13 129/week @ 2023-01-20 42/week @ 2023-01-27 51/week @ 2023-02-03 39/week @ 2023-02-10 61/week @ 2023-02-17 15/week @ 2023-02-24 68/week @ 2023-03-03 21/week @ 2023-03-10 29/week @ 2023-03-17

141 downloads per month
Used in 7 crates (4 directly)

MIT/Apache

8KB
92 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 secp256k1 curve. Source: https://en.bitcoin.it/wiki/Secp256k1

Curve information:

  • Base field: q = 115792089237316195423570985008687907853269984665640564039457584007908834671663
  • Scalar field: r = 115792089237316195423570985008687907852837564279074904382605163141518161494337
  • Curve equation: y^2 = x^3 + 7

Dependencies

~4.5MB
~96K SLoC