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» Lattice problems and norm embeddings
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STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 11 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 9 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 10 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
14 years 2 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