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CATS
2008
13 years 6 months ago
On the Efficiency of Pollard's Rho Method for Discrete Logarithms
Pollard's rho method is a randomized algorithm for computing discrete logarithms. It works by defining a pseudo-random sequence and then detecting a match in the sequence. Ma...
Shi Bai, Richard P. Brent
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
EUROCRYPT
2000
Springer
13 years 8 months ago
An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
Pierrick Gaudry
PKC
2010
Springer
199views Cryptology» more  PKC 2010»
13 years 3 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
WSC
2007
13 years 7 months ago
An elliptical cryptographic algorithm for RF wireless devices
In this paper, we propose a new asymmetric cryptographic algorithm (HOOD CRYPT) based on the Elliptical Curve Cryptographic approach. The algorithm describes how an orthogonal fre...
Robert Steven Owor, Khalil Dajani, Zephyrinus Okon...