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» Subspace Polynomials and List Decoding of Reed-Solomon Codes
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FOCS
2006
IEEE
13 years 11 months ago
Subspace Polynomials and List Decoding of Reed-Solomon Codes
Eli Ben-Sasson, Swastik Kopparty, Jaikumar Radhakr...
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. ...
FOCS
2002
IEEE
13 years 9 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
ASAP
2005
IEEE
93views Hardware» more  ASAP 2005»
13 years 6 months ago
Instruction Set Extensions for Reed-Solomon Encoding and Decoding
Reed-Solomon codes are an important class of error correcting codes used in many applications related to communications and digital storage. The fundamental operations in Reed-Sol...
Suman Mamidi, Daniel Iancu, Andrei Iancu, Michael ...
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