This crate defines Elliptic Curve traits, curve models that follow these traits, and multi-scalar multiplications.
Implementations of particular curves using these curve models can be found in arkworks-rs/curves.
The available elliptic curve traits are:
AffineCurve- Interface for elliptic curve points in the 'canonical form' for serialization.ProjectiveCurve- Interface for elliptic curve points in a representation that is more efficient for most computation.PairingEngine- Pairing friendly elliptic curves (Contains the pairing function, and acts as a wrapper type on G1, G2, GT, and the relevant fields).CurveCycle- Trait representing a cycle of elliptic curves.PairingFriendlyCycle- Trait representing a cycle of pairing friendly elliptic curves.
The elliptic curve models implemented are:
- Short Weierstrass curves. The
AffineCurvein this case is in typical Short Weierstrass point representation, and theProjectiveCurveis using points in Jacobian Coordinates. - Twisted Edwards curves. The
AffineCurvein this case is in standard Twisted Edwards curve representation, whereas theProjectiveCurveuses points in Extended Twisted Edwards Coordinates.