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» On the reduction of a random basis
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ANTS
2006
Springer
91views Algorithms» more  ANTS 2006»
13 years 8 months ago
Practical Lattice Basis Sampling Reduction
We propose a practical sampling reduction algorithm for lattice bases based on work by Schnorr [1] as well as two even more effective generalizations. We report the empirical behav...
Johannes Buchmann, Christoph Ludwig
ICCV
1998
IEEE
14 years 6 months ago
Design of Multi-Parameter Steerable Functions Using Cascade Basis Reduction
A new cascade basis reduction method of computing the optimal least-squares set of basis functions to steer a given function locally is presented. The method combines the Lie grou...
Patrick C. Teo, Yacov Hel-Or
EUROPAR
2009
Springer
13 years 11 months ago
Parallel Lattice Basis Reduction Using a Multi-threaded Schnorr-Euchner LLL Algorithm
Abstract. In this paper, we introduce a new parallel variant of the LLL lattice basis reduction algorithm. Our new, multi-threaded algorithm is the first to provide an efficient,...
Werner Backes, Susanne Wetzel
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
WAE
2000
103views Algorithms» more  WAE 2000»
13 years 6 months ago
Lattice Basis Reduction with Dynamic Approximation
Abstract. In this paper we present a heuristic based on dynamic approximations for improving the well-known Schnorr-Euchner lattice basis reduction algorithm. In particular, the ne...
Werner Backes, Susanne Wetzel