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A Sufficient Condition for a Generalized Minimum Distance Reed-Solomon Decoder to Ensure Correct Decoding

Norifumi KAMIYA

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Summary :

Generalized minimum-distance (GMD) decoding is well-known as a soft decision decoding technique for such linear block codes as BCH and RS codes. The GMD decoding algorithm generates a set of candidate codewords and selects as a decoded codeword that candidate with the smallest reliable distance. In this paper, for a GMD decoder of RS and BCH codes, we present a new sufficient condition for the decoded codeword to be optimal, and we show that this sufficient condition is less stringent than the one presented by Taipale and Pursely.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.11 pp.2066-2072
Publication Date
1997/11/25
Publicized
Online ISSN
DOI
Type of Manuscript
Special Section PAPER (Special Section on Information Theory and Its Applications)
Category
Coding Theory

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