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» The Shortest Vector Problem in Lattices with Many Cycles
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FSTTCS
2008
Springer
13 years 9 months ago
Some Sieving Algorithms for Lattice Problems
ABSTRACT. We study the algorithmic complexity of lattice problems based on Ajtai-Kumar-Sivakumar sieving technique [AKS01]. Given a k-dimensional subspace M ⊆ Rn and a full rank ...
Vikraman Arvind, Pushkar S. Joglekar
COCO
2004
Springer
147views Algorithms» more  COCO 2004»
14 years 10 days ago
The Complexity of the Covering Radius Problem on Lattices and Codes
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...
Venkatesan Guruswami, Daniele Micciancio, Oded Reg...
EUROCRYPT
2000
Springer
14 years 6 days ago
Noisy Polynomial Interpolation and Noisy Chinese Remaindering
Abstract. The noisy polynomial interpolation problem is a new intractability assumption introduced last year in oblivious polynomial evaluation. It also appeared independently in p...
Daniel Bleichenbacher, Phong Q. Nguyen
FOCS
2003
IEEE
14 years 1 months ago
A Lattice Problem in Quantum NP
We consider coGapSV P√ n, a gap version of the shortest vector in a lattice problem. This problem is known to be in AM ∩coNP but is not known to be in NP or in MA. We prove th...
Dorit Aharonov, Oded Regev
IEEEPACT
2006
IEEE
14 years 2 months ago
Program generation for the all-pairs shortest path problem
A recent trend in computing are domain-specific program generators, designed to alleviate the effort of porting and reoptimizing libraries for fast-changing and increasingly com...
Sung-Chul Han, Franz Franchetti, Markus Püsch...