Sciweavers

706 search results - page 1 / 142
» List Decoding: Algorithms and Applications
Sort
View
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
IFIPTCS
2000
13 years 8 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
ICS
2010
Tsinghua U.
13 years 9 months ago
Weight Distribution and List-Decoding Size of Reed-Muller Codes
: We study the weight distribution and list-decoding size of Reed-Muller codes. Given a weight parameter, we are interested in bounding the number of Reed-Muller codewords with a w...
Tali Kaufman, Shachar Lovett, Ely Porat
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 5 months ago
Artin automorphisms, cyclotomic function fields, and folded list-decodable codes
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
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