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» Upper Bound on List-Decoding Radius of Binary Codes
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APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 7 months ago
The Complexity of Local List Decoding
We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that co...
Dan Gutfreund, Guy N. Rothblum
CORR
2010
Springer
101views Education» more  CORR 2010»
13 years 5 months ago
Bounds for binary codes relative to pseudo-distances of k points
We apply Schrijver's semidefinite programming method to obtain improved upper bounds on generalized distances and list decoding radii of binary codes.
Christine Bachoc, Gilles Zémor
TIT
2008
110views more  TIT 2008»
13 years 4 months ago
Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
Venkatesan Guruswami, Atri Rudra
TIT
2002
129views more  TIT 2002»
13 years 4 months ago
Combinatorial bounds for list decoding
Abstract--Informally, an error-correcting code has "nice" listdecodability properties if every Hamming ball of "large" radius has a "small" number of ...
Venkatesan Guruswami, Johan Håstad, Madhu Su...
CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 5 months ago
List Decodability at Small Radii
A (n,d,e), the smallest for which every binary error-correcting code of length n and minimum distance d is decodable with a list of size up to radius e, is determined for all d 2e...
Yeow Meng Chee, Gennian Ge, Lijun Ji, San Ling, Ji...