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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 4, Pages 26–42 (Mi ppi1997)  
This article is cited in 6 scientific papers (total in 6 papers)

Coding Theory

On one transformation of Steiner quadruple systems $S(v,4,3)$

V. A. Zinoviev, D. V. Zinoviev

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Full-text PDF (333 kB) Citations (6)
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Abstract: A transformation of Steiner quadruple systems $S(v,4,3)$ is introduced. For a given system, it allows to construct new systems of the same order, which can be nonisomorphic to the given one. The structure of Steiner systems $S(v,4,3)$ is considered. There are two different types of such systems, namely, induced and singular systems. Induced systems of 2-rank $r$ can be constructed by the introduced transformation of Steiner systems of 2-rank $r-1$ or less. A sufficient condition for a Steiner system $S(v,4,3)$ to be induced is obtained.
Received: 16.06.2008
Revised: 12.08.2009
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 4, Pages 317–332
DOI: https://doi.org/10.1134/S0032946009040036
Bibliographic databases:
Document Type: Article
UDC: 621.391.15+519.1
Language: Russian
Citation: V. A. Zinoviev, D. V. Zinoviev, “On one transformation of Steiner quadruple systems $S(v,4,3)$”, Probl. Peredachi Inf., 45:4 (2009), 26–42; Problems Inform. Transmission, 45:4 (2009), 317–332
Citation in format AMSBIB
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\pages 26--42
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\pages 317--332
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    • This publication is cited in the following 6 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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