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FOCS
2004
IEEE
15 years 3 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
BSL
2005
70views more  BSL 2005»
14 years 11 months ago
Mass problems and randomness
A mass problem is a set of Turing oracles. If P and Q are mass problems, we say that P is weakly reducible to Q if every member of Q Turing computes a member of P. We say that P i...
Stephen G. Simpson
PAMI
2007
197views more  PAMI 2007»
14 years 11 months ago
A Lattice-Based MRF Model for Dynamic Near-Regular Texture Tracking
—A near-regular texture (NRT) is a geometric and photometric deformation from its regular origin—a congruent wallpaper pattern formed by 2D translations of a single tile. A dyn...
Wen-Chieh Lin, Yanxi Liu
IACR
2011
136views more  IACR 2011»
13 years 11 months ago
Trapdoors for Lattices: Simpler, Tighter, Faster, Smaller
We give new methods for generating and using “strong trapdoors” in cryptographic lattices, which are simultaneously simple, efficient, easy to implement (even in parallel), a...
Daniele Micciancio, Chris Peikert
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
13 years 2 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala