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Problemy Peredachi Informatsii, 1997, Volume 33, Issue 3, Pages 15–21 (Mi ppi374)  
This article is cited in 36 scientific papers (total in 36 papers)

Information Theory and Coding Theory

Construction of Perfect Binary Codes by Sequential Shifts of $\tilde\alpha$-Components

S. V. Avgustinovich, F. I. Solov'eva
Full-text PDF (786 kB) Citations (36)
Abstract: We propose the construction of perfect binary codes by sequential shifts of special-kind components of the Hamming code. The construction yields a new lower estimate on the number of nonequivalent perfect binary codes. Some known constructions of perfect binary codes are particular cases of this one.
Received: 31.05.1996
Revised: 15.04.1997
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: S. V. Avgustinovich, F. I. Solov'eva, “Construction of Perfect Binary Codes by Sequential Shifts of $\tilde\alpha$-Components”, Probl. Peredachi Inf., 33:3 (1997), 15–21; Problems Inform. Transmission, 33:3 (1997), 202–207
Citation in format AMSBIB
\Bibitem{AvgSol97}
\by S.~V.~Avgustinovich, F.~I.~Solov'eva
\paper Construction of Perfect Binary Codes by Sequential Shifts of $\tilde\alpha$-Components
\jour Probl. Peredachi Inf.
\yr 1997
\vol 33
\issue 3
\pages 15--21
\mathnet{http://mi.mathnet.ru/ppi374}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1476367}
\zmath{https://zbmath.org/?q=an:0977.94057}
\transl
\jour Problems Inform. Transmission
\yr 1997
\vol 33
\issue 3
\pages 202--207
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  • https://www.mathnet.ru/eng/ppi/v33/i3/p15
    • This publication is cited in the following 36 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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