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» A General Polynomial Sieve
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CORR
2010
Springer
178views Education» more  CORR 2010»
13 years 7 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
JCAM
2011
78views more  JCAM 2011»
12 years 11 months ago
Symmetric box-splines on root lattices
Root lattices are efficient sampling lattices for reconstructing isotropic signals in arbitrary dimensions, due to their highly symmetric structure. One root lattice, the Cartesia...
Minho Kim, Jörg Peters
IACR
2011
141views more  IACR 2011»
12 years 8 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger
STACS
2010
Springer
14 years 3 months ago
Exact Covers via Determinants
Given a k-uniform hypergraph on n vertices, partitioned in k equal parts such that every hyperedge includes one vertex from each part, the k-Dimensional Matching problem asks wheth...
Andreas Björklund
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
14 years 2 months ago
On strip packing With rotations
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
Klaus Jansen, Rob van Stee