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ACSW
2007
14 years 27 days ago
Isogeny cordillera algorithm to obtain cryptographically good elliptic curves
The security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP). Such a problem turns out to be computati...
Josep M. Miret, D. Sadornil, J. Tena, R. Tomas, Ma...
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
ISAAC
2004
Springer
142views Algorithms» more  ISAAC 2004»
14 years 4 months ago
On Partial Lifting and the Elliptic Curve Discrete Logarithm Problem
It has been suggested that a major obstacle in finding an index calculus attack on the elliptic curve discrete logarithm problem lies in the difficulty of lifting points from elli...
Qi Cheng, Ming-Deh A. Huang
AFRICACRYPT
2010
Springer
14 years 6 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...