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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2021, Volume 27, Issue 2, Pages 7–15
DOI: https://doi.org/10.18287/2541-7525-2021-27-2-7-15
(Mi vsgu651)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On decoding algorithms for generalized Reed — Solomon codes with errors and erasures. II

S. M. Ratseeva, O. I. Cherevatenkob

a Ulyanovsk State University, Ulyanovsk, Russian Federation
b Ulyanovsk State University of Education, Ulyanovsk, Russian Federation
Full-text PDF (231 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: The article is a continuation of the authors' work «On decoding algorithms for generalized Reed —Solomon codes with errors and erasures». In this work, another modification of the Gao algorithm and the Berlekamp — Massey algorithm is given. The first of these algorithms is a syndrome-free decoding algorithm, the second is a syndrome decoding algorithm. 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: 05.02.2021
Revised: 10.03.2021
Accepted: 28.05.2021
Document Type: Article
UDC: 519.725
Language: Russian
Citation: S. M. Ratseev, O. I. Cherevatenko, “On decoding algorithms for generalized Reed — Solomon codes with errors and erasures. II”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:2 (2021), 7–15
Citation in format AMSBIB
\Bibitem{RatChe21}
\by S.~M.~Ratseev, O.~I.~Cherevatenko
\paper On decoding algorithms for generalized Reed~--- Solomon codes with errors and erasures.~II
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2021
\vol 27
\issue 2
\pages 7--15
\mathnet{http://mi.mathnet.ru/vsgu651}
\crossref{https://doi.org/10.18287/2541-7525-2021-27-2-7-15}
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    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Вестник Самарского государственного университета. Естественнонаучная серия
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