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Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2022, Issue 2, Pages 1–14 (Mi ulsu143)  

Finite field algorithms' implementation for error correcting coding

P. A. Buldakovsky

Ulyanovsk State University
References:
Abstract: In this work a study of various methods of finite fields' construction in the Galois field $\mathrm{GF}(2^8)$ is carried out, and a comparative analysis of the speed of operation of the corresponding algorithms is presented. Implementation of these methods allow to realize further the effective Gao decoding algorithm, allowing to find and correct the errors that occur during the transmission of messages.
Keywords: Reed-Solomon codes, Galois field $\mathrm{GF}(2^8)$.
Received: 27.11.2022
Accepted: 01.12.2022
Document Type: Article
UDC: 519.7
Language: Russian
Citation: P. A. Buldakovsky, “Finite field algorithms' implementation for error correcting coding”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2022, no. 2, 1–14
Citation in format AMSBIB
\Bibitem{Bul22}
\by P.~A.~Buldakovsky
\paper Finite field algorithms' implementation for error correcting coding
\jour Uchenyye zapiski UlGU. Seriya ``Matematika i informatsionnyye tekhnologii''
\yr 2022
\issue 2
\pages 1--14
\mathnet{http://mi.mathnet.ru/ulsu143}
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