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COCO
2004
Springer
147views Algorithms» more  COCO 2004»
15 years 4 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...
113
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APPROX
2009
Springer
135views Algorithms» more  APPROX 2009»
15 years 7 months ago
Tolerant Linearity Testing and Locally Testable Codes
Abstract. We study tolerant linearity testing under general distributions. Given groups G and H, a distribution µ on G, and oracle access to a function f : G → H, we consider th...
Swastik Kopparty, Shubhangi Saraf
110
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AAECC
2001
Springer
132views Algorithms» more  AAECC 2001»
15 years 4 months ago
Duality and Greedy Weights of Linear Codes and Projective Multisets
A projective multiset is a collection of projective points, which are not necessarily distinct. A linear code can be represented as a projective multiset, by taking the columns of ...
Hans Georg Schaathun
STOC
2009
ACM
172views Algorithms» more  STOC 2009»
16 years 29 days ago
Linear time approximation schemes for the Gale-Berlekamp game and related minimization problems
We design a linear time approximation scheme for the GaleBerlekamp Switching Game and generalize it to a wider class of dense fragile minimization problems including the Nearest C...
Marek Karpinski, Warren Schudy
ISAAC
2003
Springer
133views Algorithms» more  ISAAC 2003»
15 years 5 months ago
The Intractability of Computing the Hamming Distance
Given a string x and a language L, the Hamming distance of x to L is the minimum Hamming distance of x to any string in L. The edit distance of a string to a language is analogous...
Bodo Manthey, Rüdiger Reischuk