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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,λ)(v,k,λ) generates optimal ternary and quaternary constant-weight equidistant codes, whose parameters n,N,w,d,qn,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
\jour Probl. Peredachi Inf.
\yr 2020
\vol 56
\issue 3
\pages 50--58
\mathnet{http://mi.mathnet.ru/ppi2320}
\crossref{https://doi.org/10.31857/S055529232003002X}
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\jour Problems Inform. Transmission
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\vol 56
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\pages 245--252
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Linking options:
  • https://www.mathnet.ru/eng/ppi2320
  • https://www.mathnet.ru/eng/ppi/v56/i3/p50
    • This publication is cited in the following 3 articles:
    1. L. A. Bassalygo, V. A. Zinoviev, V. S. Lebedev, “Constructions of nonbinary codes meeting the Johnson bound”, Problems Inform. Transmission, 60:1 (2024), 12–20  mathnet  crossref  crossref
    2. L. A. Bassalygo, V. A. Zinoviev, V. S. Lebedev, “Weakly resolvable block designs and nonbinary codes meeting the Johnson bound”, Problems Inform. Transmission, 58:1 (2022), 1–12  mathnet  crossref  crossref  isi
    3. V. Chauhan, A. Sharma, S. Sharma, M. Yadav, “Hamming weight distributions of multi-twisted codes over finite fields”, Designs Codes Cryptogr., 89:8 (2021), 1787–1837  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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