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» Lattice problems and norm embeddings
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STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 4 months ago
Lattice problems and norm embeddings
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...
Oded Regev, Ricky Rosen
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
JCSS
2007
88views more  JCSS 2007»
13 years 4 months ago
Counting lattice vectors
We consider the problem of counting the number of lattice vectors of a given length and prove several results regarding its computational complexity. We show that the problem is â™...
Denis Xavier Charles
ARITH
2007
IEEE
13 years 8 months ago
Efficient polynomial L-approximations
We address the problem of computing a good floating-point-coefficient polynomial approximation to a function, with respect to the supremum norm. This is a key step in most process...
Nicolas Brisebarre, Sylvain Chevillard