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SODA
2010
ACM
232views Algorithms» more  SODA 2010»
14 years 2 months ago
Faster exponential time algorithms for the shortest vector problem
We present new faster algorithms for the exact solution of the shortest vector problem in arbitrary lattices. Our main result shows that the shortest vector in any n-dimensional l...
Daniele Micciancio, Panagiotis Voulgaris
CORR
2010
Springer
152views Education» more  CORR 2010»
13 years 5 months ago
A Faster Algorithm for Quasi-convex Integer Polynomial Optimization
We present a faster exponential-time algorithm for integer optimization over quasi-convex polynomials. We study the minimization of a quasiconvex polynomial subject to s quasi-con...
Robert Hildebrand, Matthias Köppe
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
13 years 3 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha
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
TOC
2008
94views more  TOC 2008»
13 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