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ANTS
1998
Springer
93views Algorithms» more  ANTS 1998»
15 years 8 months ago
Evaluation of Linear Relations between Vectors of a Lattice in Euclidean Space
We prove that to find a nontrivial integer linear relation between vectors of a lattice L IRn , whose euclidean length is at most M, one needs O n5+ (ln Mn/)1+ binary operations f...
Igor A. Semaev
ICIP
2007
IEEE
16 years 6 months ago
High Dimension Lattice Vector Quantizer Design for Generalized Gaussian Distributions
LVQ is a simple but powerful tool for vector quantization and can be viewed as a vector generalization of uniform scalar quantization. Like VQ, LVQ is able to take into account sp...
Leonardo H. Fonteles, Marc Antonini
TOC
2008
94views more  TOC 2008»
15 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»
15 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
ICIP
1995
IEEE
16 years 6 months ago
A lattice vector quantizer for generalized Gaussian sources
A fixed-rate lattice vector quantizer for generalized Gaussian (GG) sources is presented. By using the contour of counstant probability of a generalized Gaussian source to bound t...
Feng Chen, Zheng Gao, John D. Villasenor