René Struik
Abstract
This document specifies how to represent Montgomery curves and (twisted) Edwards curves as curves in short-Weierstrass form and illustrates how this can be used to carry out elliptic curve computations using existing implementations of, e.g., ECDSA and ECDH using NIST prime curves.
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This document specifies how to represent Montgomery curves and (twisted) Edwards curves as curves in short-Weierstrass form and illustrates how this can be used to carry out elliptic curve computations using existing implementations of, e.g., ECDSA and ECDH using NIST prime curves.
Key concepts: Edwards curve, Hessian form of an elliptic curve, NIST, Elliptic curve point multiplication, Elliptic curve, Tripling-oriented Doche–Icart–Kohel curve, Curve25519, Jacobian curve