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INDOCRYPT
2001
Springer
14 years 3 months ago
Analysis of the GHS Weil Descent Attack on the ECDLP over Characteristic Two Finite Fields of Composite Degree
In this paper, the authors analyze the Gaudry–Hess–Smart (GHS) Weil descent attack on the elliptic curve discrete logarithm problem (ECDLP) for elliptic curves defined over c...
Markus Maurer, Alfred Menezes, Edlyn Teske
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...
FC
2004
Springer
129views Cryptology» more  FC 2004»
14 years 4 months ago
A Privacy-Friendly Loyalty System Based on Discrete Logarithms over Elliptic Curves
Abstract. Systems for the support of customer relationship management are becoming increasingly attractive for vendors. Loyalty systems provide an interesting possibility for vendo...
Matthias Enzmann, Marc Fischlin, Markus Schneider ...
GMP
2003
IEEE
247views Solid Modeling» more  GMP 2003»
14 years 4 months ago
Message Recovery Signature Scheme Using Complementary Elliptic Curves
Elliptic curve cryptography is known for its complexity due to its discrete logarithm problem, and this gives advantage to the system used since the formula developed using this c...
Teo Chun Yew, Hailiza Kamarulhaili, Putra Sumari
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