Nearest Codeword Problem

32

FOCS
2005
IEEE

106views Theoretical Computer Science» more FOCS 2005»

Hardness of Approximating the Closest Vector Problem with Pre-Processing

14 years 6 months ago

d Abstract] Mikhail Alekhnovich ∗ Subhash A. Khot † Guy Kindler ‡ Nisheeth K. Vishnoi § We show that, unless NP⊆DTIME(2poly log(n) ), the closest vector problem with pre-...

Mikhail Alekhnovich, Subhash Khot, Guy Kindler, Ni...

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40

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APPROX
2009
Springer

112views Algorithms» more APPROX 2009»

Deterministic Approximation Algorithms for the Nearest Codeword Problem

14 years 7 months ago

Download research.microsoft.com

The Nearest Codeword Problem (NCP) is a basic algorithmic question in the theory of error-correcting codes. Given a point v ∈ Fn 2 and a linear space L ⊆ Fn 2 of dimension k NC...

Noga Alon, Rina Panigrahy, Sergey Yekhanin

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46

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STOC
2009
ACM

172views Algorithms» more STOC 2009»

Linear time approximation schemes for the Gale-Berlekamp game and related minimization problems

15 years 1 months ago

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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

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