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» Algorithms for Exponentiation in Finite Fields
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DAM
2006
81views more  DAM 2006»
13 years 7 months ago
Equivalence-free exhaustive generation of matroid representations
Abstract. In this paper we present an algorithm for the problem of exhaustive equivalence-free generation of 3-connected matroids which are represented by a matrix over some finite...
Petr Hlinený
MOC
2000
78views more  MOC 2000»
13 years 7 months ago
Using number fields to compute logarithms in finite fields
We describe an adaptation of the number field sieve to the problem of computing logarithms in a finite field. We conjecture that the running time of the algorithm, when restricted ...
Oliver Schirokauer
ANOR
2008
69views more  ANOR 2008»
13 years 7 months ago
Moment characterization of matrix exponential and Markovian arrival processes
This paper provides a general framework for establishing the relation between various moments of matrix exponential and Markovian processes. Based on this framework we present an a...
Levente Bodrog, András Horváth, Mikl...
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 7 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
ACISP
2005
Springer
13 years 9 months ago
Redundant Trinomials for Finite Fields of Characteristic 2
Abstract. In this article we introduce redundant trinomials to represent elements of finite fields of characteristic 2. This paper develops applications to cryptography, especial...
Christophe Doche