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Problemy Peredachi Informatsii, 2003, Volume 39, Issue 4, Pages 30–34 (Mi ppi313)  
This article is cited in 22 scientific papers (total in 22 papers)

Information Theory and Coding Theory

On the Rank and Kernel Problem for Perfect Codes

S. V. Avgustinovicha, F. I. Solov'evaa, O. Hedenb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Royal Institute of Technology
Full-text PDF (655 kB) Citations (22)
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Abstract: A construction is proposed which, for $n$ large enough, allows one to build perfect binary codes of length $n$ and rank $r$, with kernel of dimension $k$, for any admissible pair $(r,k)$ within the limits of known bounds.
Received: 20.01.2003
English version:
Problems of Information Transmission, 2003, Volume 39, Issue 4, Pages 341–345
DOI: https://doi.org/10.1023/B:PRIT.0000011272.10614.8c
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: S. V. Avgustinovich, F. I. Solov'eva, O. Heden, “On the Rank and Kernel Problem for Perfect Codes”, Probl. Peredachi Inf., 39:4 (2003), 30–34; Problems Inform. Transmission, 39:4 (2003), 341–345
Citation in format AMSBIB
\Bibitem{AvgSolHed03}
\by S.~V.~Avgustinovich, F.~I.~Solov'eva, O.~Heden
\paper On the Rank and Kernel Problem for Perfect Codes
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 4
\pages 30--34
\mathnet{http://mi.mathnet.ru/ppi313}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2102717}
\zmath{https://zbmath.org/?q=an:1154.94482}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 4
\pages 341--345
\crossref{https://doi.org/10.1023/B:PRIT.0000011272.10614.8c}
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    • This publication is cited in the following 22 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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