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JOURNALS // Problemy Peredachi Informatsii // Archive
Probl. Peredachi Inf., 2021 Volume 57, Issue 4, Pages 34–44 (Mi ppi2353)
Coding Theory

On the generalized concatenated construction for the Nordstrom–Robinson code and the binary Golay code

V. A. Zinoviev, D. V. Zinoviev

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

Abstract: We show that the Nordstrom–Robinson code and the extended binary Golay code are generalized concatenated codes of order $3$.

Keywords: generalized concatenated code, Nordstrom–Robinson code, extended binary Golay code.

UDC: 621.391.1 : 519.725

Received: 20.12.2020
Revised: 17.11.2021
Accepted: 17.11.2021

DOI: 10.31857/S0555292321040033


 English version: Problems of Information Transmission, 2021, 57:4, 331–340

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© Steklov Math. Inst. of RAS, 2025