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ANTS
2000
Springer
133views Algorithms» more  ANTS 2000»
13 years 8 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
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
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...
CORR
2006
Springer
182views Education» more  CORR 2006»
13 years 4 months ago
Cryptanalysis of the CFVZ cryptosystem
The paper analyzes CFVZ, a new public key cryptosystem whose security is based on a matrix version of the discrete logarithm problem over an elliptic curve. It is shown that the co...
Joan-Josep Climent, E. Gorla, J. Rosenthal