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Diskretnyi Analiz i Issledovanie Operatsii, 2012, Volume 19, Issue 4, Pages 73–85 (Mi da699)  
This article is cited in 2 scientific papers (total in 2 papers)

Affine nonsystematic codes

S. A. Malyugin

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (284 kB) Citations (2)
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Abstract: A perfect binary code $C$ of length $n=2^k-1$ is called affine systematic if there exists a $k$-dimensional subspace of $\{0,1\}^n$ such that the intersection of $C$ and any coset with respect to this subspace is a singleton; otherwise $C$ is called affine nonsystematic. We describe the construction of affine nonsystematic codes. Bibliogr. 12.
Keywords: perfect code, Hamming code, nonsystematic code, affine nonsystematic code, component.
Received: 23.10.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 4, Pages 451–459
DOI: https://doi.org/10.1134/S1990478912040060
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: S. A. Malyugin, “Affine nonsystematic codes”, Diskretn. Anal. Issled. Oper., 19:4 (2012), 73–85; J. Appl. Industr. Math., 6:4 (2012), 451–459
Citation in format AMSBIB
\Bibitem{Mal12}
\by S.~A.~Malyugin
\paper Affine nonsystematic codes
\jour Diskretn. Anal. Issled. Oper.
\yr 2012
\vol 19
\issue 4
\pages 73--85
\mathnet{http://mi.mathnet.ru/da699}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3013545}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 4
\pages 451--459
\crossref{https://doi.org/10.1134/S1990478912040060}
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    • This publication is cited in the following 2 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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    References:58
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