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» Closest point search in lattices
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TIT
2002
67views more  TIT 2002»
13 years 4 months ago
Closest point search in lattices
In this semitutorial paper, a comprehensive survey of closest point search methods for lattices without a regular structure is presented. The existing search strategies are describ...
Erik Agrell, Thomas Eriksson, Alexander Vardy, Ken...
APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
13 years 8 months ago
On Bounded Distance Decoding for General Lattices
A central problem in the algorithmic study of lattices is the closest vector problem: given a lattice v represented by some basis, and a target point y, nd the lattice point close...
Yi-Kai Liu, Vadim Lyubashevsky, Daniele Micciancio
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
CORR
2010
Springer
171views Education» more  CORR 2010»
13 years 4 months ago
Randomized Lattice Decoding
Sphere decoding achieves maximum-likelihood (ML) performance at the cost of exponential complexity; lattice reduction-aided successive interference cancelation (SIC) significantly...
Shuiyin Liu, Cong Ling, Damien Stehlé
PRL
2008
122views more  PRL 2008»
13 years 4 months ago
Constraints for closest point finding
The traditional closest point criterion has been widely used for 3D free form shape matching, object recognition, internet search, computer graphics and medical imaging. However, ...
Yonghuai Liu