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Generalized Syndrome Polynomials for Decoding Reed-Solomon Codes
Kiyomichi ARAKI Ikuo FUJITA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1992/08/25
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Information Theory and Coding Theory
generalized syndrome polynomials, Reed-Solomon codes, decoding algorithm, key equation,
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In this letter, a generalized syndrome polynomial is proposed from which several decoding key-equations for Reed-Solomon codes can be derived systematically. These equations are always solved by the extended Euclidean algorithm.