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Problemy Peredachi Informatsii, 2005, Volume 41, Issue 2, Pages 42–49 (Mi ppi94)  
This article is cited in 14 scientific papers (total in 14 papers)

Coding Theory

On the Structure of Symmetry Groups of Vasil'ev 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 (870 kB) Citations (14)
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Abstract: The structure of symmetry groups of Vasil'ev codes is studied. It is proved that the symmetry group of an arbitrary perfect binary non-full-rank Vasil'ev code of length $n$ is always nontrivial; for codes of rank $n-\log(n+1)+1$, an attainable upper bound on the order of the symmetry group is obtained.
Received: 22.09.2004
English version:
Problems of Information Transmission, 2005, Volume 41, Issue 2, Pages 105–112
DOI: https://doi.org/10.1007/s11122-005-0015-5
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: S. V. Avgustinovich, F. I. Solov'eva, O. Heden, “On the Structure of Symmetry Groups of Vasil'ev Codes”, Probl. Peredachi Inf., 41:2 (2005), 42–49; Problems Inform. Transmission, 41:2 (2005), 105–112
Citation in format AMSBIB
\Bibitem{AvgSolHed05}
\by S.~V.~Avgustinovich, F.~I.~Solov'eva, O.~Heden
\paper On the Structure of Symmetry Groups
of Vasil'ev Codes
\jour Probl. Peredachi Inf.
\yr 2005
\vol 41
\issue 2
\pages 42--49
\mathnet{http://mi.mathnet.ru/ppi94}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2158683}
\zmath{https://zbmath.org/?q=an:1088.94026}
\transl
\jour Problems Inform. Transmission
\yr 2005
\vol 41
\issue 2
\pages 105--112
\crossref{https://doi.org/10.1007/s11122-005-0015-5}
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    • This publication is cited in the following 14 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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