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Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2021, Issue 1, Pages 67–86 (Mi ulsu41)  

On decoding algorithms for Reed-Solomon codes with errors and erasures

S. M. Ratseev

Ulyanovsk State University, Ulyanovsk, Russia
References:
Abstract: The paper is devoted to the decoding algorithms for Reed-Solomon codes with errors and erasures. These algorithms are based on the Gao algorithm, Sugiyama algorithm, Berlekamp-Massey algorithm. The first of these algorithms belongs to syndrome-free decoding algorithms, the others – to syndrome decoding algorithms. The relevance of these algorithms is that they are applicable for decoding Goppa codes, which are the basis of some promising post-quantum cryptosystems.
Keywords: error-correcting codes, Reed-Solomon codes, Goppa codes, code decoding.
Received: 15.01.2021
Revised: 30.05.2021
Accepted: 31.05.2021
Document Type: Article
UDC: 519.725
Language: Russian
Citation: S. M. Ratseev, “On decoding algorithms for Reed-Solomon codes with errors and erasures”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2021, no. 1, 67–86
Citation in format AMSBIB
\Bibitem{Rat21}
\by S.~M.~Ratseev
\paper On decoding algorithms for Reed-Solomon codes with errors and erasures
\jour Uchenyye zapiski UlGU. Seriya ``Matematika i informatsionnyye tekhnologii''
\yr 2021
\issue 1
\pages 67--86
\mathnet{http://mi.mathnet.ru/ulsu41}
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    Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii"
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