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» Predicting Lattice Reduction
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ISSAC
1992
Springer
114views Mathematics» more  ISSAC 1992»
13 years 9 months ago
Parallel Lattice Basis Reduction
Abstract. Lattice basis reduction is an important problem in geometry of numbers with applications in combinatorial optimization, computer algebra, and cryptography. The well-known...
Gilles Villard
SYRCODIS
2007
126views Database» more  SYRCODIS 2007»
13 years 7 months ago
Concept Lattice Reduction by Singular Value Decomposition
High complexity of lattice construction algorithms and uneasy way of visualising lattices are two important problems connected with the formal concept analysis. Algorithm complexi...
Václav Snásel, Martin Polovincak, Hu...
AFRICACRYPT
2010
Springer
14 years 18 days ago
Parallel Shortest Lattice Vector Enumeration on Graphics Cards
In this paper we present an algorithm for parallel exhaustive search for short vectors in lattices. This algorithm can be applied to a wide range of parallel computing systems. To ...
Jens Hermans, Michael Schneider 0002, Johannes Buc...
CORR
2006
Springer
102views Education» more  CORR 2006»
13 years 5 months ago
On the reduction of a random basis
For p n, let b (n) 1 , . . . , b (n) p be independent random vectors in Rn with the same distribution invariant by rotation and without mass at the origin. Almost surely these vec...
Ali Akhavi, Jean-François Marckert, Alain R...
CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
13 years 12 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach
Coppersmith described at Eurocrypt 96 an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later pro...
Jean-Sébastien Coron