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» Hardness of the Covering Radius Problem on Lattices
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COCO
2006
Springer
89views Algorithms» more  COCO 2006»
13 years 8 months ago
Hardness of the Covering Radius Problem on Lattices
We provide the first hardness result for the Covering Radius Problem on lattices (CRP). Namely, we show that for any large enough p there exists a constant cp > 1 such that C...
Ishay Haviv, Oded Regev
COCO
2004
Springer
147views Algorithms» more  COCO 2004»
13 years 8 months 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...
DCG
2007
85views more  DCG 2007»
13 years 4 months ago
Frobenius Problem and the Covering Radius of a Lattice
Lenny Fukshansky, Sinai Robins
FOCS
2004
IEEE
13 years 8 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
FOCS
1999
IEEE
13 years 9 months ago
Hardness of Approximating the Minimum Distance of a Linear Code
We show that the minimum distance of a linear code is not approximable to within any constant factor in random polynomial time (RP), unless nondeterministic polynomial time (NP) eq...
Ilya Dumer, Daniele Micciancio, Madhu Sudan