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ISAAC
2004
Springer
142views Algorithms» more  ISAAC 2004»
13 years 10 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
ALGORITHMICA
2006
149views more  ALGORITHMICA 2006»
13 years 4 months ago
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 ellip...
Qi Cheng, Ming-Deh A. Huang
ANTS
2000
Springer
133views Algorithms» more  ANTS 2000»
13 years 9 months ago
Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem
Abstract. Essentially all subexponential time algorithms for the discrete logarithm problem over nite elds are based on the index calculus idea. In proposing cryptosystems based on...
Ming-Deh A. Huang, Ka Lam Kueh, Ki-Seng Tan
ACSW
2007
13 years 6 months 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
2007
Springer
13 years 10 months ago
Solving Discrete Logarithms from Partial Knowledge of the Key
Abstract. For elliptic curve based cryptosystems, the discrete logarithm problem must be hard to solve. But even when this is true from a mathematical point of view, side-channel a...
K. Gopalakrishnan, Nicolas Thériault, Chui ...