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ANTS
2006
Springer
139views Algorithms» more  ANTS 2006»
13 years 9 months ago
Hard Instances of the Constrained Discrete Logarithm Problem
The discrete logarithm problem (DLP) generalizes to the constrained DLP, where the secret exponent x belongs to a set known to the attacker. The complexity of generic algorithms f...
Ilya Mironov, Anton Mityagin, Kobbi Nissim
SACRYPT
2001
Springer
110views Cryptology» more  SACRYPT 2001»
13 years 10 months ago
Random Walks Revisited: Extensions of Pollard's Rho Algorithm for Computing Multiple Discrete Logarithms
This paper extends the analysis of Pollard’s rho algorithm for solving a single instance of the discrete logarithm problem in a finite cyclic group G to the case of solving more...
Fabian Kuhn, René Struik
AINA
2003
IEEE
13 years 9 months ago
Signature Schemes Based on Two Hard Problems Simultaneously
In 1994, Harn proposed a signature scheme based on the modified ElGamal's scheme and claimed that the security relies on both of the factorization and the discrete logarithm....
Ching-Te Wang, Chu-Hsing Lin, Chin-Chen Chang
ISAAC
2004
Springer
142views Algorithms» more  ISAAC 2004»
13 years 11 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
MOC
2002
121views more  MOC 2002»
13 years 5 months ago
Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...
Andreas Enge