Abstract. This paper addresses the discrete logarithm problem in elliptic curve cryptography. In particular, we generalize the Menezes, Okamoto, and Vanstone (MOV) reduction so tha...
Ryuichi Harasawa, Junji Shikata, Joe Suzuki, Hidek...
In this paper we discuss two ways to provide flexible hardware support for the reduction step in Elliptic Curve Cryptography in binary fields (GF(2m )). In our first approach w...
Abstract. Frey and R¨uck gave a method to transform the discrete logarithm problem in the divisor class group of a curve over Fq into a discrete logarithm problem in some finite ...
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...
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...