DocumentCode
1305981
Title
Decoding of Hermitian codes: the key equation and efficient error evaluation
Author
O´Sullivan, Michael E.
Author_Institution
Dept. of Math., Nat. Univ. of Ireland, Cork, Ireland
Volume
46
Issue
2
fYear
2000
fDate
3/1/2000 12:00:00 AM
Firstpage
512
Lastpage
523
Abstract
This paper presents a generalization of the key equation to Hermitian codes. The syndrome is interpreted as a power series and the product of this power series with a locator polynomial gives the error evaluator polynomial. The computation of the evaluator polynomial may be done iteratively using a modified version of a previously published computationally efficient algorithm for computing locator polynomials
Keywords
algebraic geometric codes; decoding; polynomials; series (mathematics); Hermitian codes; algebraic geometric codes; computationally efficient algorithm; decoding; efficient error evaluation; error evaluator polynomial; key equation; locator polynomial; power series; syndrome; Computational geometry; Cost accounting; Equations; H infinity control; Hardware; Information theory; Iterative algorithms; Iterative decoding; Mathematics; Polynomials;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.825814
Filename
825814
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