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
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).
CycleEngine- Wrapper type for 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 the
ProjectiveCurveis using points in Jacobian Coordinates.
- Twisted Edwards curves. The
AffineCurvein this case is in standard Twisted Edwards curve representation, whereas the
ProjectiveCurveuses points in Extended Twisted Edwards Coordinates.