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» Parallel Lattice Basis Reduction
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EUROPAR
2010
Springer
13 years 11 months ago
Parallel Enumeration of Shortest Lattice Vectors
Abstract. Lattice basis reduction is the problem of finding short vectors in lattices. The security of lattice based cryptosystems is based on the hardness of lattice reduction. Fu...
Özgür Dagdelen, Michael Schneider 0002
ISSAC
1992
Springer
114views Mathematics» more  ISSAC 1992»
14 years 1 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
EUROPAR
2009
Springer
14 years 4 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
AFRICACRYPT
2010
Springer
14 years 4 months 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...
C3S2E
2011
ACM
13 years 1 months ago
A parallel LLL algorithm
The LLL algorithm is a well-known and widely used lattice basis reduction algorithm. In many applications, its speed is critical. Parallel computing can improve speed. However, th...
Yixian Luo, Sanzheng Qiao