ec

ark-ec

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 AffineCurve in this case is in typical Short Weierstrass point representation, and the ProjectiveCurve is using points in Jacobian Coordinates.
• Twisted Edwards curves. The AffineCurve in this case is in standard Twisted Edwards curve representation, whereas the ProjectiveCurve uses points in Extended Twisted Edwards Coordinates.