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» A sieve algorithm for the shortest lattice vector problem
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STOC
2001
ACM
160views Algorithms» more  STOC 2001»
14 years 5 months ago
A sieve algorithm for the shortest lattice vector problem
Miklós Ajtai, Ravi Kumar, D. Sivakumar
FSTTCS
2008
Springer
13 years 6 months ago
Some Sieving Algorithms for Lattice Problems
ABSTRACT. We study the algorithmic complexity of lattice problems based on Ajtai-Kumar-Sivakumar sieving technique [AKS01]. Given a k-dimensional subspace M ⊆ Rn and a full rank ...
Vikraman Arvind, Pushkar S. Joglekar
CORR
2010
Springer
178views Education» more  CORR 2010»
13 years 4 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
SODA
2010
ACM
232views Algorithms» more  SODA 2010»
14 years 2 months ago
Faster exponential time algorithms for the shortest vector problem
We present new faster algorithms for the exact solution of the shortest vector problem in arbitrary lattices. Our main result shows that the shortest vector in any n-dimensional l...
Daniele Micciancio, Panagiotis Voulgaris
CODCRY
2011
Springer
264views Cryptology» more  CODCRY 2011»
12 years 9 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...