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CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
13 years 11 months ago
On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem
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...
Vadim Lyubashevsky, Daniele Micciancio
APPROX
2006
Springer
179views Algorithms» more  APPROX 2006»
13 years 8 months ago
On Bounded Distance Decoding for General Lattices
A central problem in the algorithmic study of lattices is the closest vector problem: given a lattice v represented by some basis, and a target point y, nd the lattice point close...
Yi-Kai Liu, Vadim Lyubashevsky, Daniele Micciancio
ECCC
2008
98views more  ECCC 2008»
13 years 4 months ago
Public-Key Cryptosystems from the Worst-Case Shortest Vector Problem
We construct public-key cryptosystems that are secure assuming the worst-case hardness of approximating the minimum distance on n-dimensional lattices to within small poly(n) fact...
Chris Peikert
ORL
2008
99views more  ORL 2008»
13 years 4 months ago
Some tractable instances of interval data minmax regret problems
This paper focuses on tractable instances of interval data minmax regret graph problems. More precisely, we provide polynomial and pseudopolynomial algorithms for sets of particul...
Bruno Escoffier, Jérôme Monnot, Olivi...
SIAMCOMP
2008
137views more  SIAMCOMP 2008»
13 years 4 months ago
Approximate Shortest Paths in Anisotropic Regions
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...