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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 10 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 8 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
14 years 27 days 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 10 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 7 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