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ANTS
2006
Springer
139views Algorithms» more  ANTS 2006»
13 years 8 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 9 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 8 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 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
MOC
2002
121views more  MOC 2002»
13 years 4 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