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IACR
2011
206views more  IACR 2011»
12 years 10 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...
ICIP
1998
IEEE
14 years 3 months ago
Vector Set-Partitioning with Successive Refinement Voronoi Lattice VQ for Embedded Wavelet Image Coding
: While lattice vector quantization (LVQ) can solve the complexity problem of LBG based vector quantizers, and also yield very general codebooks, a single stage lattice VQ, when ap...
Debargha Mukherjee, Sanjit K. Mitra
STOC
2001
ACM
160views Algorithms» more  STOC 2001»
14 years 11 months ago
A sieve algorithm for the shortest lattice vector problem
Miklós Ajtai, Ravi Kumar, D. Sivakumar
CALC
2001
Springer
161views Cryptology» more  CALC 2001»
14 years 3 months ago
The Shortest Vector Problem in Lattices with Many Cycles
In this paper we investigate how the complexity of the shortest vector problem in a lattice Λ depends on the cycle structure of the additive group Zn /Λ. We give a proof that the...
Mårten Trolin
SODA
2012
ACM
235views Algorithms» more  SODA 2012»
12 years 1 months ago
Fast zeta transforms for lattices with few irreducibles
We investigate fast algorithms for changing between the standard basis and an orthogonal basis of idempotents for M¨obius algebras of finite lattices. We show that every lattice...
Andreas Björklund, Mikko Koivisto, Thore Husf...