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INDOCRYPT
2001
Springer
13 years 9 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
AFRICACRYPT
2010
Springer
13 years 11 months ago
ECC2K-130 on Cell CPUs
This paper describes an implementation of Pollard’s rho algorithm to compute the elliptic curve discrete logarithm for the Synergistic Processor Elements of the Cell Broadband En...
Joppe W. Bos, Thorsten Kleinjung, Ruben Niederhage...
ASIACRYPT
2000
Springer
13 years 9 months ago
Weil Descent of Elliptic Curves over Finite Fields of Characteristic Three
The paper shows that some of elliptic curves over finite fields of characteristic three of composite degree are attacked by a more effective algorithm than Pollard’s ρ method...
Seigo Arita
AAECC
2006
Springer
133views Algorithms» more  AAECC 2006»
13 years 4 months ago
On the low hamming weight discrete logarithm problem for nonadjacent representations
So-called nonadjacent representations are commonly used in elliptic curve cryptography to facilitate computing a scalar multiple of a point on an elliptic curve. A nonadjacent rep...
James A. Muir, Douglas R. Stinson
FC
2004
Springer
129views Cryptology» more  FC 2004»
13 years 10 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 ...