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JOC
2011
81views more  JOC 2011»
12 years 11 months ago
An L(1/3) Discrete Logarithm Algorithm for Low Degree Curves
We present an algorithm for solving the discrete logarithm problem in Jacobians of families of plane curves whose degrees in X and Y are low with respect to their genera. The fin...
Andreas Enge, Pierrick Gaudry, Emmanuel Thom&eacut...
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
INDOCRYPT
2007
Springer
13 years 11 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 ...
ASIACRYPT
2003
Springer
13 years 10 months ago
On Class Group Computations Using the Number Field Sieve
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
Mark L. Bauer, Safuat Hamdy
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...