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» On multiplication in finite fields
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DCC
2006
IEEE
14 years 8 months ago
Uncoverings-by-bases for base-transitive permutation groups
An uncovering-by-bases for a group G acting on a finite set is a set U of bases for G such that any r-subset of is disjoint from at least one base in U, where r is a parameter d...
Robert F. Bailey
CORR
2000
Springer
96views Education» more  CORR 2000»
13 years 8 months ago
A Bayesian Reflection on Surfaces
: The topic of this paper is a novel Bayesian continuous-basis field representation and inference framework. Within this paper several problems are solved: The maximally informativ...
David R. Wolf
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
14 years 9 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...
EUROCRYPT
2006
Springer
14 years 14 days ago
QUAD: A Practical Stream Cipher with Provable Security
We introduce a practical synchronous stream cipher with provable security named QUAD. The cipher relies on the iteration of a multivariate quadratic system of m equations in n <...
Côme Berbain, Henri Gilbert, Jacques Patarin
EUROCRYPT
2000
Springer
14 years 12 days 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