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» Some Sieving Algorithms for Lattice Problems
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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...
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 7 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
SODA
2008
ACM
71views Algorithms» more  SODA 2008»
13 years 6 months ago
Two-phase greedy algorithms for some classes of combinatorial linear programs
We present greedy algorithms for some classes of combinatorial packing and cover problems within the general formal framework of Hoffman and Schwartz' lattice polyhedra. Our ...
Ulrich Faigle, Britta Peis
IACR
2011
206views more  IACR 2011»
12 years 4 months ago
Shortest Lattice Vectors in the Presence of Gaps
Given a lattice L with the i-th successive minimum λi, its i-th gap λi λ1 often provides useful information for analyzing the security of cryptographic schemes related to L. The...
Mingjie Liu, Xiaoyun Wang, Guangwu Xu, Xuexin Zhen...
CRYPTO
2008
Springer
134views Cryptology» more  CRYPTO 2008»
13 years 6 months ago
Noninteractive Statistical Zero-Knowledge Proofs for Lattice Problems
We construct noninteractive statistical zero-knowledge (NISZK) proof systems for a variety of standard approximation problems on lattices, such as the shortest independent vectors...
Chris Peikert, Vinod Vaikuntanathan