A Gröbner-Bases Approach to Syndrome-Based Fast Chase Decoding of Reed-Solomon Codes

We present a simple syndrome-based fast Chase decoding algorithm for Reed-Solomon (RS) codes. Such an algorithm was initially presented by Wu (IEEE Trans. IT, Jan. 2012), building on properties of the Berlekamp-Massey (BM) algorithm. Wu devised a fast polynomial-update algorithm to construct the err...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 68; no. 4; pp. 2300 - 2318
Main Authors:	Shany, Yaron, Berman, Amit
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.04.2022 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Codes Complexity theory Decoding Fast Chase decoding algorithms Fields (mathematics) Heuristic algorithms Linear feedback shift registers Minimization Modules Optimization Polynomials Reed–Solomon codes Reliability soft-decision decoding Synthesis Time-domain analysis
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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