98 search results - page 2 / 20 » Hardness of Approximating the Shortest Vector Problem in Lat... |
STOC
1999
ACM
13 years 9 months ago
1999
ACM
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...
TOC
2008
13 years 5 months ago
2008
Abstract: Schnorr's algorithm for finding an approximation for the shortest nonzero vector in an n-dimensional lattice depends on a parameter k. He proved that for a fixed k ...
CRYPTO
2009
Springer
13 years 12 months ago
2009
Springer
We prove the equivalence, up to a small polynomial approximation factor n/ log n, of the lattice problems uSVP (unique Shortest Vector Problem), BDD (Bounded Distance Decoding) and...
EUROPAR
2010
Springer
13 years 6 months ago
2010
Springer
Abstract. Lattice basis reduction is the problem of finding short vectors in lattices. The security of lattice based cryptosystems is based on the hardness of lattice reduction. Fu...
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...