DocumentCode
894182
Title
Decoding of redundant residue polynomial codes using Euclid´s algorithm
Author
Shiozaki, Akira
Author_Institution
Fac. of Eng., Osaka Electro-Commun. Univ., Japan
Volume
34
Issue
5
fYear
1988
fDate
9/1/1988 12:00:00 AM
Firstpage
1351
Lastpage
1354
Abstract
A decoding method is proposed for the redundant residue polynomial codes, a class that includes Reed-Solomon codes. The method is based on properties of Euclid´s algorithm. The advantage of the method is that the computation of both the error-locator polynomial and the error-evaluator polynomial needed in conventional decoding methods can be avoided. The method is suitable for decoding concatenated codes whose outer codes are redundant residue polynomial codes, since they are easily decoded by ignoring erasures detected in the inner codes
Keywords
codes; decoding; polynomials; Euclid; Reed-Solomon codes; concatenated codes; decoding method; erasures; error-evaluator polynomial; error-locator polynomial; redundant residue polynomial codes; Combinatorial mathematics; Computer science; Concatenated codes; Decoding; Error correction codes; Galois fields; Gaussian processes; Graph theory; Polynomials; Reed-Solomon codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.21269
Filename
21269
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