Sciweavers

100 search results - page 2 / 20
» Faster exponential time algorithms for the shortest vector p...
Sort
View
FOCS
2004
IEEE
13 years 9 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
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 ...
Subhash Khot
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
13 years 9 months ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
13 years 11 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
AFRICACRYPT
2010
Springer
14 years 3 days ago
Parallel Shortest Lattice Vector Enumeration on Graphics Cards
In this paper we present an algorithm for parallel exhaustive search for short vectors in lattices. This algorithm can be applied to a wide range of parallel computing systems. To ...
Jens Hermans, Michael Schneider 0002, Johannes Buc...
ISAAC
2003
Springer
115views Algorithms» more  ISAAC 2003»
13 years 10 months ago
A Faster Lattice Reduction Method Using Quantum Search
We propose a new lattice reduction method. Our algorithm approximates shortest lattice vectors up to a factor ≤ (k/6)n/2k and makes use of Grover’s quantum search algorithm. Th...
Christoph Ludwig