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MOC
1998
131views more  MOC 1998»
13 years 7 months ago
An algorithm for evaluation of discrete logarithms in some nonprime finite fields
In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
Igor A. Semaev
SACRYPT
2001
Springer
110views Cryptology» more  SACRYPT 2001»
13 years 12 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
ISMVL
2008
IEEE
148views Hardware» more  ISMVL 2008»
14 years 1 months ago
Quantum Logic Implementation of Unary Arithmetic Operations
The mathematical property of inheritance for certain unary fixed point operations has recently been exploited to enable the efficient formulation of arithmetic algorithms and circ...
Mitchell A. Thornton, David W. Matula, Laura Spenn...
ISMVL
2002
IEEE
84views Hardware» more  ISMVL 2002»
14 years 12 days ago
The Role of Super-Fast Transforms in Speeding Up Quantum Computations
We present the role that spectral methods play in the development of the most impressive quantum algorithms, such as the polynomial time number factoring algorithm by Shor. While ...
Zeljko Zilic, Katarzyna Radecka
CRYPTO
1993
Springer
118views Cryptology» more  CRYPTO 1993»
13 years 11 months ago
A Subexponential Algorithm for Discrete Logarithms over All Finite Fields
Abstract. There are numerous subexponential algorithms for computing discrete logarithms over certain classes of finite fields. However, there appears to be no published subexponen...
Leonard M. Adleman, Jonathan DeMarrais