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» A sieve algorithm for the shortest lattice vector problem
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ECCC
2007
185views more  ECCC 2007»
13 years 7 months ago
Trapdoors for Hard Lattices and New Cryptographic Constructions
We show how to construct a variety of “trapdoor” cryptographic tools assuming the worst-case hardness of standard lattice problems (such as approximating the length of the sho...
Craig Gentry, Chris Peikert, Vinod Vaikuntanathan
AFRICACRYPT
2010
Springer
14 years 2 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...
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
14 years 7 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen
SCN
2010
Springer
122views Communications» more  SCN 2010»
13 years 5 months ago
Recursive Lattice Reduction
Abstract. Lattice reduction is known to be a very powerful tool in modern cryptanalysis. In the literature, there are many lattice reduction algorithms that have been proposed with...
Thomas Plantard, Willy Susilo
CRYPTO
2007
Springer
102views Cryptology» more  CRYPTO 2007»
14 years 1 months ago
Improved Analysis of Kannan's Shortest Lattice Vector Algorithm
Guillaume Hanrot, Damien Stehlé