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» Algorithmic Results in List Decoding
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FTTCS
2006
106views more  FTTCS 2006»
13 years 4 months ago
Algorithmic Results in List Decoding
Error-correcting codes are used to cope with the corruption of data by noise during communication or storage. A code uses an encoding procedure that judiciously introduces redunda...
Venkatesan Guruswami
APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
13 years 10 months ago
A Lower Bound on List Size for List Decoding
A q-ary error-correcting code C ⊆ {1, 2, . . . , q}n is said to be list decodable to radius ρ with list size L if every Hamming ball of radius ρ contains at most L codewords o...
Venkatesan Guruswami, Salil P. Vadhan
ICC
2007
IEEE
127views Communications» more  ICC 2007»
13 years 11 months ago
Efficient Factorisation Algorithm for List Decoding Algebraic-Geometric and Reed-Solomon Codes
— The list decoding algorithm can outperform the conventional unique decoding algorithm by producing a list of candidate decoded messages. An efficient list decoding algorithm fo...
L. Chen, Rolando A. Carrasco, Martin Johnston, E. ...
DCC
2008
IEEE
14 years 4 months ago
An improved list decoding algorithm for the second order Reed-Muller codes and its applications
We propose an algorithm which is an improved version of the Kabatiansky-Tavernier list decoding algorithm for the second order binary Reed-Muller code RM(2, m), of length n = 2m , ...
Rafaël Fourquet, Cédric Tavernier
STOC
2005
ACM
120views Algorithms» more  STOC 2005»
14 years 5 months ago
Limits to list decoding Reed-Solomon codes
In this paper, we prove the following two results that expose some combinatorial limitations to list decoding ReedSolomon codes.
Venkatesan Guruswami, Atri Rudra