86 search results - page 8 / 18 » A 3-Dimensional Lattice Reduction Algorithm |
STOC
2007
ACM
14 years 8 months ago
2007
ACM
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
ANTS
2010
Springer
13 years 11 months ago
2010
Springer
Lattices over number elds arise from a variety of sources in algorithmic algebra and more recently cryptography. Similar to the classical case of Z-lattices, the choice of a nice,...
TWC
2008
13 years 7 months ago
2008
A box-constrained integer least squares problem (BILS) arises from several wireless communications applications. Solving a BILS problem usually has two stages: reduction (or prepro...
ANTS
1994
Springer
13 years 12 months ago
1994
Springer
We propose a fast variant of the Gaussian algorithm for the reduction of two{ dimensional lattices for the l1; l2; and l1;norm. The algorithm runs in at most O(n M(B) logB) bit op...
STOC
2006
ACM
14 years 8 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...