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PKC
2010
Springer
199views Cryptology» more  PKC 2010»
13 years 7 months ago
Using Equivalence Classes to Accelerate Solving the Discrete Logarithm Problem in a Short Interval
The Pollard kangaroo method solves the discrete logarithm problem (DLP) in an interval of size N with heuristic average case expected running time approximately 2 √ N group opera...
Steven D. Galbraith, Raminder S. Ruprai
IMA
2009
Springer
131views Cryptology» more  IMA 2009»
14 years 3 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
ALGORITHMICA
2006
149views more  ALGORITHMICA 2006»
13 years 9 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
AAECC
2006
Springer
133views Algorithms» more  AAECC 2006»
13 years 9 months ago
On the low hamming weight discrete logarithm problem for nonadjacent representations
So-called nonadjacent representations are commonly used in elliptic curve cryptography to facilitate computing a scalar multiple of a point on an elliptic curve. A nonadjacent rep...
James A. Muir, Douglas R. Stinson
MOC
2002
131views more  MOC 2002»
13 years 8 months ago
Some baby-step giant-step algorithms for the low hamming weight discrete logarithm problem
In this paper, we present several baby-step giant-step algorithms for the low hamming weight discrete logarithm problem. In this version of the discrete log problem, we are require...
Douglas R. Stinson