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» List decoding algorithms for certain concatenated codes
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APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
13 years 11 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
SODA
2008
ACM
95views Algorithms» more  SODA 2008»
13 years 6 months ago
Concatenated codes can achieve list-decoding capacity
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
IFIPTCS
2000
13 years 9 months ago
List Decoding: Algorithms and Applications
Over the years coding theory and complexity theory have benefited from a number of mutually enriching connections. This article focuses on a new connection that has emerged betwee...
Madhu Sudan
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. ...