54 search results - page 1 / 11 » Hardness of Approximating the Closest Vector Problem with Pr... |
FOCS
2005
IEEE
13 years 10 months ago
2005
IEEE
d Abstract] Mikhail Alekhnovich ∗ Subhash A. Khot † Guy Kindler ‡ Nisheeth K. Vishnoi § We show that, unless NP⊆DTIME(2poly log(n) ), the closest vector problem with pre-...
STOC
2006
ACM
14 years 5 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...
FOCS
2004
IEEE
13 years 8 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 ...
FCT
2003
Springer
13 years 10 months ago
2003
Springer
The closest substring problem, where a short string is sought that minimizes the number of mismatches between it and each of a given set of strings, is a minimization problem with ...
STACS
2004
Springer
13 years 10 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...