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Diskretnyi Analiz i Issledovanie Operatsii, 2008, Volume 15, Issue 3, Pages 11–21 (Mi da530)  
This article is cited in 3 scientific papers (total in 3 papers)

On mobile sets in the binary hypercube

Yu. L. Vasil'ev, S. V. Avgustinovich, D. S. Krotov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (273 kB) Citations (3)
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Abstract: If two distance-3 codes have the same neighborhood, then each of them is called a mobile set. In the $(4k+3)$-dimensional binary hypercube there exists a mobile set of cardinality $2\cdot6^k$ that cannot be split into mobile sets of smaller cardinalities or represented as a natural extension of a mobile set of smaller dimension. Bibl. 10.
Keywords: 1-perfect code, Bollean cube, mobile set, $i$-component.
Received: 27.12.2007
Revised: 03.04.2008
English version:
Journal of Applied and Industrial Mathematics, 2009, Volume 3, Issue 2, Pages 290–296
DOI: https://doi.org/10.1134/S199047890902015X
Bibliographic databases:
UDC: 519.72
Language: Russian
Citation: Yu. L. Vasil'ev, S. V. Avgustinovich, D. S. Krotov, “On mobile sets in the binary hypercube”, Diskretn. Anal. Issled. Oper., 15:3 (2008), 11–21; J. Appl. Industr. Math., 3:2 (2009), 290–296
Citation in format AMSBIB
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\by Yu.~L.~Vasil'ev, S.~V.~Avgustinovich, D.~S.~Krotov
\paper On mobile sets in the binary hypercube
\jour Diskretn. Anal. Issled. Oper.
\yr 2008
\vol 15
\issue 3
\pages 11--21
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\zmath{https://zbmath.org/?q=an:1249.94059}
\transl
\jour J. Appl. Industr. Math.
\yr 2009
\vol 3
\issue 2
\pages 290--296
\crossref{https://doi.org/10.1134/S199047890902015X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-66149129563}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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