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» Limits to list decoding Reed-Solomon codes
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CORR
2007
Springer
120views Education» more  CORR 2007»
13 years 6 months ago
Performance Analysis of Algebraic Soft-Decision Decoding of Reed-Solomon Codes
Title of dissertation: PERFORMANCE ANALYSIS OF ALGEBRAIC SOFT-DECISION DECODING OF REED-SOLOMON CODES Andrew Duggan, Masters of Science, 2006 Thesis directed by: Professor Alexand...
Andrew Duggan, Alexander Barg
FOCS
2002
IEEE
13 years 11 months ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 6 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
STOC
2001
ACM
163views Algorithms» more  STOC 2001»
14 years 6 months ago
Extractor codes
We study error-correcting codes for highly noisy channels. For example, every received signal in the channel may originate from some half of the symbols in the alphabet. Our main c...
Amnon Ta-Shma, David Zuckerman
STOC
2000
ACM
123views Algorithms» more  STOC 2000»
13 years 9 months ago
List decoding algorithms for certain concatenated codes
We give efficient (polynomial-time) list-decoding algorithms for certain families of errorcorrecting codes obtained by "concatenation". Specifically, we give list-decodi...
Venkatesan Guruswami, Madhu Sudan