89 search results - page 1 / 18 » Algorithms for the Shortest and Closest Lattice Vector Probl... |
CODCRY
2011
Springer
13 years 2 months ago
2011
Springer
We present the state of the art solvers of the Shortest and Closest Lattice Vector Problems in the Euclidean norm. We recall the three main families of algorithms for these problem...
CORR
2010
Springer
13 years 9 months ago
2010
Springer
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...
STOC
2006
ACM
14 years 11 months ago
2006
ACM
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...
STACS
2004
Springer
14 years 4 months ago
2004
Springer
Abstract We give a method for approximating any n-dimensional lattice with a lattice Λ whose factor group Zn /Λ has n − 1 cycles of equal length with arbitrary precision. We al...
FOCS
2004
IEEE
14 years 2 months ago
2004
IEEE
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...