We present an algorithm which speeds scalar multiplication on a general elliptic curve by an estimated 3.8% to 8.5% over the best known general methods when using affine coordinate...
Pairing based cryptography is a new public key cryptographic scheme. An elliptic curve suitable for pairing based cryptography is called a “pairing-friendly” elliptic curve. Af...
Elliptic curve based cryptosystem is an efficient public key cryptosystem, which is more suitable for limited environments. The very expensive operation in elliptic curve based cr...
This paper proposes two improved interleaved modular multiplication algorithms based on Barrett and Montgomery modular reduction. The algorithms are simple and especially suitable ...
Miroslav Knezevic, Frederik Vercauteren, Ingrid Ve...
Our purpose is to describe elliptic curves with complex multiplication which in characteristic 2 have the following useful properties for constructing Diffie-HeUman type cryptosys...