G1 and G2 of BLS12-381. (#74)
* implementation of the fast subgroup check for bls12_381 * add a bench * subgroup check for g1 * subgroup check modifications * remove useless test * fmt * need the last version of arkworks/algebra * remove Parameters0 * using projective points is more efficient * use of projective coordinates in G2 * fmt * documentation on the constants and the psi function * references for algorithms of eprint 2021/1130 * fmt * sed ^ ** * minor improvement * fmt * fix Cargo toml * nits * some cleanup for g1 * add the beta test back * fmt * g2 * changelog * add a note on the Cargo.toml * nits * avoid variable name conflicts * add the early-out optimization Co-authored-by: weikeng <w.k@berkeley.edu>
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 curveark-ed-on-bls12-381: Implements a Twisted Edwards curve atop the scalar field of BLS12-381ark-ed-on-bls12-381-bandersnatch: Implements Bandersnatch, another Twisted Edwards curve atop the scalar field of BLS12-381
BLS12-377 and related curves
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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 inark-ed-on-bw6-761
BN254 and related curves
ark-bn254: Implements the BN254 pairing-friendly curveark-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 MNT6-298ark-mnt6-298: Implements the MNT6-298 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT4-298ark-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 MNT6-753ark-mnt6-753: Implements the MNT6-753 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT4-753ark-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 Vestaark-vesta: Implements Vesta, a prime-order curve that forms an amicable pair with Pallas