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JOURNALS // Problemy Peredachi Informatsii // Archive

Probl. Peredachi Inf., 2022 Volume 58, Issue 1, Pages 3–15 (Mi ppi2359)

This article is cited in 3 papers

Coding Theory

Weakly resolvable block designs and nonbinary codes meeting the Johnson bound

L. A. Bassalygo, V. A. Zinoviev, V. S. Lebedev

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

Abstract: We present two new families of resolvable block designs. We introduce the notion of a weakly resolvable block design and prove the equivalence of such designs and nonbinary codes meeting the Johnson bound. We construct a new family of such codes.

Keywords: resolvable block design, weakly resolvable block design, nonbinary code, Johnson bound.

UDC: 621.391.1 : 519.725

Received: 16.04.2021
Revised: 11.09.2021
Accepted: 01.10.2021

DOI: 10.31857/S0555292322010016


 English version:
Problems of Information Transmission, 2022, 58:1, 1–12

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© Steklov Math. Inst. of RAS, 2024