ON THE BERLEKAMP — MASSEY ALGORITHM AND ITS APPLICATION FOR DECODING ALGORITHMS

DOI10.18287/2541-7525-2021-27-1-44-61zbMath1495.94154OpenAlexW4286545247MaRDI QIDQ5089874

S. M. Ratseev, Anna Dmitrievna Lavrinenko, Ekaterina Alekseevna Stepanova

Publication date: 15 July 2022

Published in: Vestnik of Samara University. Natural Science Series (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgu646

zbMATH Keywords

Reed-Solomon codesBerlekamp-Massey algorithmextended Euclidean algorithmcode decoding

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Decoding (94B35)

Cites Work

• A New Algorithm for Decoding Reed-Solomon Codes
• On the equivalence between Berlekamp's and Euclid's algorithms (Corresp.)
• A method for solving key equation for decoding goppa codes
• Fundamentals of Error-Correcting Codes
• ON DECODING ALGORITHMS FOR GENERALIZED REED — SOLOMON CODES WITH ERRORS AND ERASURES
• ON DECODING ALGORITHMS FOR GENERALIZED REED — SOLOMON CODES WITH ERRORS AND ERASURES. II
• Shift-register synthesis and BCH decoding
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