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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 5, Pages 15–21 (Mi da621)  

This article is cited in 1 scientific paper (total in 1 paper)

On reconstruction of binary codes by dimensions of their subcodes

E. V. Gorkunova, S. V. Avgustinovichba

a Novosibirsk State University, Novosibirsk, Russia
b S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
Full-text PDF (230 kB) Citations (1)
References:
Abstract: It is proved that if there is a bijection between two binary codes that preserves dimensions of their subcodes with even cardinality, then the codes are equivalent. It is shown that this theorem is unimprovable. Bibliogr. 9.
Keywords: binary code, strong isometry, reconstruction, equivalent codes.
Received: 20.05.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 348–351
DOI: https://doi.org/10.1134/S1990478911030057
Bibliographic databases:
Document Type: Article
UDC: 519.725
Language: Russian
Citation: E. V. Gorkunov, S. V. Avgustinovich, “On reconstruction of binary codes by dimensions of their subcodes”, Diskretn. Anal. Issled. Oper., 17:5 (2010), 15–21; J. Appl. Industr. Math., 5:3 (2011), 348–351
Citation in format AMSBIB
\Bibitem{GorAvg10}
\by E.~V.~Gorkunov, S.~V.~Avgustinovich
\paper On reconstruction of binary codes by dimensions of their subcodes
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 5
\pages 15--21
\mathnet{http://mi.mathnet.ru/da621}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779348}
\zmath{https://zbmath.org/?q=an:1249.94050}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 348--351
\crossref{https://doi.org/10.1134/S1990478911030057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051994903}
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  • https://www.mathnet.ru/eng/da/v17/i5/p15
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретный анализ и исследование операций
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    Abstract page:461
    Full-text PDF :98
    References:65
    First page:5
     
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