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Problemy Peredachi Informatsii, 1969, Volume 5, Issue 2, Pages 84–87 (Mi ppi1804)  

This article is cited in 19 scientific papers (total in 19 papers)

Сorrespondence

A Class of Maximum Equidistant Codes

N. V. Semakov, V. A. Zinov'ev, G. V. Zaitsev
Abstract: A general method is described for constructing equidistant codes with maximum distance; the method exhausts all cases in which the basis and the number of words in the code are arbitrary powers of a prime number. The relation between these codes and maximum balanced binary codes is considered.
Received: 17.05.1968
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: N. V. Semakov, V. A. Zinov'ev, G. V. Zaitsev, “A Class of Maximum Equidistant Codes”, Probl. Peredachi Inf., 5:2 (1969), 84–87; Problems Inform. Transmission, 5:2 (1969), 65–68
Citation in format AMSBIB
\Bibitem{SemZinZai69}
\by N.~V.~Semakov, V.~A.~Zinov'ev, G.~V.~Zaitsev
\paper A~Class of Maximum Equidistant Codes
\jour Probl. Peredachi Inf.
\yr 1969
\vol 5
\issue 2
\pages 84--87
\mathnet{http://mi.mathnet.ru/ppi1804}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=305912}
\zmath{https://zbmath.org/?q=an:0295.94023}
\transl
\jour Problems Inform. Transmission
\yr 1969
\vol 5
\issue 2
\pages 65--68
Linking options:
  • https://www.mathnet.ru/eng/ppi1804
  • https://www.mathnet.ru/eng/ppi/v5/i2/p84
  • This publication is cited in the following 19 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. J. Borges, V. A. Zinoviev, D. V. Zinoviev, “On the classification of completely regular codes with covering radius two and antipodal duals”, Problems Inform. Transmission, 59:3 (2023), 204–216  mathnet  crossref  crossref
    3. P. Boyvalenkov, K. Delchev, V. A. Zinoviev, D. V. Zinoviev, “On codes with distances d and n”, Problems Inform. Transmission, 58:4 (2022), 352–371  mathnet  crossref  crossref
    4. Honold T. Landjev I., “On Homogeneous Arcs and Linear Codes Over Finite Chain Rings”, Appl. Algebr. Eng. Commun. Comput., 2021  crossref  isi  scopus
    5. P. Boyvalenkov, K. Delchev, D. V. Zinoviev, V. A. Zinoviev, “On q-ary codes with two distances d and d+1”, Problems Inform. Transmission, 56:1 (2020), 33–44  mathnet  crossref  crossref  isi  elib
    6. L. A. Bassalygo, V. A. Zinoviev, V. S. Lebedev, “Symmetric block designs and optimal equidistant codes”, Problems Inform. Transmission, 56:3 (2020), 245–252  mathnet  crossref  crossref  isi  elib
    7. J. Borges, J. Rifà, V. A. Zinoviev, “On completely regular codes”, Problems Inform. Transmission, 55:1 (2019), 1–45  mathnet  crossref  crossref  isi  elib
    8. Landjev I., Rousseva A., Storme L., “on Linear Codes of Almost Constant Weight and the Related Arcs”, C. R. Acad. Bulg. Sci., 72:12 (2019), 1626–1633  crossref  isi
    9. Polak S.C., “New Nonbinary Code Bounds Based on Divisibility Arguments”, Designs Codes Cryptogr., 86:4 (2018), 861–874  crossref  mathscinet  zmath  isi  scopus
    10. Dai P. Wang J. Yin J., “Two Series of Equitable Symbol Weight Codes Meeting the Plotkin Bound”, Des. Codes Cryptogr., 74:1 (2015), 15–29  crossref  isi
    11. L. A. Bassalygo, V. A. Zinoviev, “Optimal almost equisymbol codes based on difference matrices”, Problems Inform. Transmission, 50:4 (2014), 313–319  mathnet  crossref  mathscinet  isi
    12. Zhu M. Ge G., “4-Gdd(6N)S and Related Optimal Quaternary Constant-Weight Codes”, J. Comb Des., 20:12 (2012), 509–526  crossref  isi
    13. Rifa J., Zinoviev V.A., “On Lifting Perfect Codes”, IEEE Trans Inform Theory, 57:9 (2011), 5918–5925  crossref  isi  elib
    14. Borges J., Rifa J., Zinoviev V.A., “ON q-ARY LINEAR COMPLETELY REGULAR CODES WITH rho=2 AND ANTIPODAL DUAL”, Adv Math Commun, 4:4 (2010), 567–578  crossref  isi  elib
    15. Ding, CS, “Optimal Constant Composition Codes From Zero-Difference Balanced Functions”, IEEE Transactions on Information Theory, 54:12 (2008), 5766  crossref  isi
    16. G. T. Bogdanova, V. A. Zinov'ev, T. J. Todorov, “On the Construction of q-ary Equidistant Codes”, Problems Inform. Transmission, 43:4 (2007), 280–302  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    17. L. A. Bassalygo, S. M. Dodunekov, V. A. Zinov'ev, T. Helleseth, “The Gray–Rankin Bound for Nonbinary Codes”, Problems Inform. Transmission, 42:3 (2006), 197–203  mathnet  crossref  mathscinet
    18. Ding, CS, “Combinatorial constructions of optimal constant-composition codes”, IEEE Transactions on Information Theory, 51:10 (2005), 3671  crossref  mathscinet  isi
    19. Ding, CS, “Algebraic constructions of constant composition codes”, IEEE Transactions on Information Theory, 51:4 (2005), 1585  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
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