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Problemy Peredachi Informatsii, 2000, Volume 36, Issue 4, Pages 53–58 (Mi ppi494)  
This article is cited in 16 scientific papers (total in 16 papers)

Coding Theory

On Automorphism Groups of Perfect Binary Codes and Steiner Triple Systems

F. I. Solov'eva, S. T. Topalova
Full-text PDF (691 kB) Citations (16)
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Abstract: We prove that the order of the automorphism group of an arbitrary perfect binary code with $d=3$ is not greater than that of the automorphism group of the Hamming code of the same length. We also obtain an upper estimate for the order of the automorphism group of an arbitrary Steiner system $S(t,t+1,n)$.
Received: 21.02.2000
Revised: 26.07.2000
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: F. I. Solov'eva, S. T. Topalova, “On Automorphism Groups of Perfect Binary Codes and Steiner Triple Systems”, Probl. Peredachi Inf., 36:4 (2000), 53–58; Problems Inform. Transmission, 36:4 (2000), 331–335
Citation in format AMSBIB
\Bibitem{SolTop00}
\by F.~I.~Solov'eva, S.~T.~Topalova
\paper On Automorphism Groups of Perfect Binary Codes and Steiner Triple Systems
\jour Probl. Peredachi Inf.
\yr 2000
\vol 36
\issue 4
\pages 53--58
\mathnet{http://mi.mathnet.ru/ppi494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1813652}
\zmath{https://zbmath.org/?q=an:0984.94035}
\transl
\jour Problems Inform. Transmission
\yr 2000
\vol 36
\issue 4
\pages 331--335
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Проблемы передачи информации Problems of Information Transmission
     
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