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CRYPTO
2007
Springer
102views Cryptology» more  CRYPTO 2007»
13 years 11 months ago
Improved Analysis of Kannan's Shortest Lattice Vector Algorithm
Guillaume Hanrot, Damien Stehlé
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...
TOC
2008
94views more  TOC 2008»
13 years 4 months ago
Optimal lower bounds for the Korkine-Zolotareff parameters of a lattice and for Schnorr's algorithm for the shortest vector prob
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
Miklós Ajtai
CORR
2010
Springer
178views Education» more  CORR 2010»
13 years 3 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
LATINCRYPT
2010
13 years 3 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...