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Problemy Peredachi Informatsii, 2020, Volume 56, Issue 3, Pages 50–58
DOI: https://doi.org/10.31857/S055529232003002X (Mi ppi2320) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Coding Theory

Symmetric block designs and optimal equidistant codes

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

Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (157 kB) Citations (3)
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DOI: https://doi.org/10.31857/S055529232003002X
Abstract: We prove that any symmetric block design $(v,k,\lambda)$ generates optimal ternary and quaternary constant-weight equidistant codes, whose parameters $n, N, w, d, q$ are uniquely determined by the parameters of the block design. For one rather special case, we construct symbolwise uniform equidistant codes of the minimum length.
Keywords: block design, symbolwise uniform code, equidistant code.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00364
Supported in part by the Russian Foundation for Basic Research, project no. 19-01-00364.
Received: 07.02.2020
Revised: 11.06.2020
Accepted: 14.06.2020
English version:
Problems of Information Transmission, 2020, Volume 56, Issue 3, Pages 245–252
DOI: https://doi.org/10.1134/S0032946020030023
Bibliographic databases:
Document Type: Article
UDC: 621.391.1 : 519.725
Language: Russian
Citation: L. A. Bassalygo, V. A. Zinoviev, V. S. Lebedev, “Symmetric block designs and optimal equidistant codes”, Probl. Peredachi Inf., 56:3 (2020), 50–58; Problems Inform. Transmission, 56:3 (2020), 245–252
Citation in format AMSBIB
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\paper Symmetric block designs and optimal equidistant codes
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\pages 50--58
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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