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Problemy Peredachi Informatsii, 2006, Volume 42, Issue 3, Pages 59–72 (Mi ppi53)  
This article is cited in 5 scientific papers (total in 5 papers)

Coding Theory

Classification of Steiner Quadruple Systems of Order 16 and of Rank 14

V. A. Zinov'ev, D. V. Zinov'ev

Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (1477 kB) Citations (5)
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Abstract: All 708 103 nonisomorphic Steiner systems $S(16,4,3)$ of order 16 and rank 14 over $\mathbb F_2$ are enumerated. Among them there are exactly 1059 homogeneous systems. It is shown that all the 708 103 Steiner systems can be obtained by the general doubling construction presented in the paper.
Received: 17.05.2005
Revised: 06.06.2006
English version:
Problems of Information Transmission, 2006, Volume 42, Issue 3, Pages 217–229
DOI: https://doi.org/10.1134/S0032946006030057
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519
Language: Russian
Citation: V. A. Zinov'ev, D. V. Zinov'ev, “Classification of Steiner Quadruple Systems of Order 16 and of Rank 14”, Probl. Peredachi Inf., 42:3 (2006), 59–72; Problems Inform. Transmission, 42:3 (2006), 217–229
Citation in format AMSBIB
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\by V.~A.~Zinov'ev, D.~V.~Zinov'ev
\paper Classification of Steiner Quadruple Systems of Order~16 and of Rank~14
\jour Probl. Peredachi Inf.
\yr 2006
\vol 42
\issue 3
\pages 59--72
\mathnet{http://mi.mathnet.ru/ppi53}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2261563}
\transl
\jour Problems Inform. Transmission
\yr 2006
\vol 42
\issue 3
\pages 217--229
\crossref{https://doi.org/10.1134/S0032946006030057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750274237}
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    • This publication is cited in the following 5 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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