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EUROCRYPT
1999
Springer
14 years 3 months ago
Comparing the MOV and FR Reductions in Elliptic Curve Cryptography
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...
DATE
2007
IEEE
103views Hardware» more  DATE 2007»
14 years 5 months ago
Flexible hardware reduction for elliptic curve cryptography in GF(2m)
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...
Steffen Peter, Peter Langendörfer, Krzysztof ...
ASIACRYPT
2001
Springer
14 years 3 months ago
Supersingular Curves in Cryptography
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 ...
Steven D. Galbraith
TC
2010
13 years 5 months ago
Faster Interleaved Modular Multiplication Based on Barrett and Montgomery Reduction Methods
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...
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 11 months ago
Fast Multibase Methods and Other Several Optimizations for Elliptic Curve Scalar Multiplication
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...
Patrick Longa, Catherine H. Gebotys