Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii"
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Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2023, Issue 2, Pages 35–42 (Mi ulsu175)  
Decoding Reed-Solomon codes

A. D. Lavrinenko, E. A. Stepanova

Ulyanovsk State University, Russia
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Abstract: The paper investigates algorithms for decoding Reed-Solomon codes based on the Berlekamp-Messi algorithm and the Sugiyama algorithm. Numerical examples of decoding Reed-Solomon codes using these algorithms over the $GF(2^3)$ field are given. This work can help in the software implementation of Reed-Solomon code decoders.
Keywords: Reed-Solomon codes, Berlekamp-Massey algorithm, Sugiyama algorithm
Received: 28.11.2023
Bibliographic databases:
Document Type: Article
UDC: 519.725
Language: Russian
Citation: A. D. Lavrinenko, E. A. Stepanova, “Decoding Reed-Solomon codes”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2023, no. 2, 35–42
Citation in format AMSBIB
\Bibitem{LavSte23}
\by A.~D.~Lavrinenko, E.~A.~Stepanova
\paper Decoding Reed-Solomon codes
\jour Uchenyye zapiski UlGU. Seriya ``Matematika i informatsionnyye tekhnologii''
\yr 2023
\issue 2
\pages 35--42
\mathnet{http://mi.mathnet.ru/ulsu175}
\elib{https://elibrary.ru/item.asp?id=59851492}
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