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» Covering Cubes and the Closest Vector Problem
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CORR
2010
Springer
67views Education» more  CORR 2010»
13 years 2 months ago
Covering Cubes and the Closest Vector Problem
Friedrich Eisenbrand, Nicolai Hähnle, Martin ...
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
STOC
1998
ACM
190views Algorithms» more  STOC 1998»
13 years 9 months ago
Efficient Search for Approximate Nearest Neighbor in High Dimensional Spaces
We address the problem of designing data structures that allow efficient search for approximate nearest neighbors. More specifically, given a database consisting of a set of vecto...
Eyal Kushilevitz, Rafail Ostrovsky, Yuval Rabani
FOCS
2004
IEEE
13 years 8 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev