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Probl. Peredachi Inf., 2004, Volume 40, Issue 2, Pages 63–69 (Mi ppi133)  

This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

On Components of Preparata Codes

N. N. Tokareva

Novosibirsk State University

Abstract: The paper considers the interrelation between $i$-components of an arbitrary Preparata-like code $P$ and $i$-components of a perfect code $C$ containing $P$. It is shown that each i-component of $P$ can uniquely be completed to an $i$-component of $C$ by adding a certain number of special codewords of $C$. It is shown that the set of vertices of $P$ in a characteristic graph of an arbitrary $i$-component of $C$ forms a perfect code with distance 3.

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English version:
Problems of Information Transmission, 2004, 40:2, 159–164

Bibliographic databases:

UDC: 621.391.15
Received: 03.11.2003
Revised: 19.02.2004

Citation: N. N. Tokareva, “On Components of Preparata Codes”, Probl. Peredachi Inf., 40:2 (2004), 63–69; Problems Inform. Transmission, 40:2 (2004), 159–164

Citation in format AMSBIB
\Bibitem{Tok04}
\by N.~N.~Tokareva
\paper On Components of Preparata Codes
\jour Probl. Peredachi Inf.
\yr 2004
\vol 40
\issue 2
\pages 63--69
\mathnet{http://mi.mathnet.ru/ppi133}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2099009}
\zmath{https://zbmath.org/?q=an:1096.94535}
\transl
\jour Problems Inform. Transmission
\yr 2004
\vol 40
\issue 2
\pages 159--164
\crossref{https://doi.org/10.1023/B:PRIT.0000043933.08204.89}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. N. N. Tokareva, “Representation of $\mathbb Z_4$-Linear Preparata Codes by Means of Vector Fields”, Problems Inform. Transmission, 41:2 (2005), 113–124  mathnet  crossref  mathscinet  zmath
    2. F. I. Solov'eva, N. N. Tokareva, “On distance nonregularity of Preparata codes”, Siberian Math. J., 48:2 (2007), 327–333  mathnet  crossref  mathscinet  zmath  isi
    3. Ostergard P.R.J., “Switching codes and designs”, Discrete Math, 312:3 (2012), 621–632  crossref  mathscinet  zmath  isi  elib
    4. D. S. Krotov, A. Yu. Vasil'eva, “On perfect codes that do not contain Preparata-like codes”, Problems Inform. Transmission, 52:3 (2016), 284–288  mathnet  crossref  isi  elib
  • Проблемы передачи информации Problems of Information Transmission
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