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» Solving a 676-Bit Discrete Logarithm Problem in GF(36n)
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IMA
2009
Springer
131views Cryptology» more  IMA 2009»
13 years 12 months ago
An Improvement to the Gaudry-Schost Algorithm for Multidimensional Discrete Logarithm Problems
Gaudry and Schost gave a low-memory algorithm for solving the 2-dimensional discrete logarithm problem. We present an improvement to their algorithm and extend this improvement to ...
Steven D. Galbraith, Raminder S. Ruprai
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
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
JOC
2011
81views more  JOC 2011»
13 years 9 days 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...
PAIRING
2007
Springer
13 years 11 months ago
On the Minimal Embedding Field
Let C be a curve of genus g, defined over a finite field Fq, where q = pm for a prime p. Let N be a large integer coprime to p, dividing the order of the Jacobian variety associ...
Laura Hitt