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Diskretnyi Analiz i Issledovanie Operatsii, 2013, Volume 20, Issue 5, Pages 31–44 (Mi da744)  
On extremely transitive extended perfect codes

G. K. Guskova, F. I. Solov'evaab

a Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
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Abstract: It is constructed an infinite set of extended perfect codes of length $n=2^k$, $k\ge4$ that are extremely transitive, which means that all perfect codes obtained from these transitive extended codes by puncturing any coordinate are nontransitive. The classification of such codes of length 16 is done. Ill. 2, tab. 2, bibliogr. 14.
Keywords: extended perfect binary code, transitive code, Steiner triple system, Pasch configuration.
Received: 27.08.2012
Revised: 28.05.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 1, Pages 53–62
DOI: https://doi.org/10.1134/S1990478914010062
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: G. K. Guskov, F. I. Solov'eva, “On extremely transitive extended perfect codes”, Diskretn. Anal. Issled. Oper., 20:5 (2013), 31–44; J. Appl. Industr. Math., 8:1 (2014), 53–62
Citation in format AMSBIB
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\by G.~K.~Guskov, F.~I.~Solov'eva
\paper On extremely transitive extended perfect codes
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 5
\pages 31--44
\mathnet{http://mi.mathnet.ru/da744}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3184442}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 1
\pages 53--62
\crossref{https://doi.org/10.1134/S1990478914010062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894381457}
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    		Дискретный анализ и исследование операций
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