1# Curve implementations
 2
 3This repository contains implementations of some popular elliptic curves. The curve API implemented here matches the curve traits defined [here](https://github.com/arkworks-rs/algebra/blob/master/ec/src/lib.rs) in the [arkworks-rs/algebra](https://github.com/arkworks-rs/algebra) repository.
 4
 5### BLS12-381 and embedded curves
 6* [`ark-bls12-381`](bls12-381): Implements the BLS12-381 pairing-friendly curve
 7* [`ark-ed-on-bls12-381`](ed-on-bls12-381): Implements a Twisted Edwards curve atop the scalar field of BLS12-381
 8
 9### BLS12-377 and related curves
10* [`ark-bls12-377`](bls12-377): Implements the BLS12-377 pairing-friendly curve
11* [`ark-ed-on-bls12-377`](ed-on-bls12-377): Implements a Twisted Edwards curve atop the scalar field of BLS12-377
12
13* [`ark-bw6-761`](bw6-761): Implements the BW6-761 pairing-friendly curve, which is a curve whose scalar field equals the base field of BLS12-377
14* [`ark-ed-on-bw6-761`](ed-on-bw6-761): Implements a Twisted Edwards curve atop the scalar field of BW6-761
15
16* [`ark-cp6-782`](cp6-782): Implements the CP6-782 pairing-friendly curve, which is a curve whose scalar field equals the base field of BLS12-377
17* [`ark-ed-on-cp6-782`](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`
18
19### BN254 and related curves
20* [`ark-bn254`](bn254): Implements the BN254 pairing-friendly curve
21* [`ark-ed-on-bn254`](ed-on-bn254): Implements a Twisted Edwards curve atop the scalar field of BN254
22
23### MNT-298 cycle of curves and related curves
24* [`ark-mnt4-298`](mnt4-298): Implements the MNT4-298 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT6-298
25* [`ark-mnt6-298`](mnt6-298): Implements the MNT6-298 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT4-298
26* [`ark-ed-on-mnt4-298`](ed-on-mnt4-298): Implements a Twisted Edwards curve atop the scalar field of MNT4-298
27
28### MNT-753 cycle of curves and related curves
29* [`ark-mnt4-753`](mnt4-753): Implements the MNT4-753 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT6-753
30* [`ark-mnt6-753`](mnt6-753): Implements the MNT6-753 pairing-friendly curve. This curve forms a pairing-friendly cycle with MNT4-753
31* [`ark-ed-on-mnt4-753`](ed-on-mnt4-753): Implements a Twisted Edwards curve atop the scalar field of MNT4-753