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» Parallel Enumeration of Shortest Lattice Vectors
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EUROPAR
2010
Springer
13 years 5 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
AFRICACRYPT
2010
Springer
13 years 11 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...
LATINCRYPT
2010
13 years 2 months ago
Accelerating Lattice Reduction with FPGAs
We describe an FPGA accelerator for the Kannan–Fincke– Pohst enumeration algorithm (KFP) solving the Shortest Lattice Vector Problem (SVP). This is the first FPGA implementati...
Jérémie Detrey, Guillaume Hanrot, Xa...
CODCRY
2011
Springer
264views Cryptology» more  CODCRY 2011»
12 years 8 months ago
Algorithms for the Shortest and Closest Lattice Vector Problems
We present the state of the art solvers of the Shortest and Closest Lattice Vector Problems in the Euclidean norm. We recall the three main families of algorithms for these problem...
Guillaume Hanrot, Xavier Pujol, Damien Stehl&eacut...
CORR
2010
Springer
178views Education» more  CORR 2010»
13 years 2 months ago
Enumerative Algorithms for the Shortest and Closest Lattice Vector Problems in Any Norm via M-Ellipsoid Coverings
We give an algorithm for solving the exact Shortest Vector Problem in n-dimensional lattices, in any norm, in deterministic 2O(n) time (and space), given poly(n)-sized advice that...
Daniel Dadush, Chris Peikert, Santosh Vempala