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Diskretnyi Analiz i Issledovanie Operatsii, 2016, Volume 23, Issue 3, Pages 93–106
DOI: https://doi.org/10.17377/daio.2016.23.513 (Mi da854) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Metric complements to subspaces in the Boolean cube

A. K. Oblaukhov

Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
Full-text PDF (280 kB) Citations (12)
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DOI: https://doi.org/10.17377/daio.2016.23.513
Abstract: We study the metric complements to sets in the Boolean cube; i.e. the subsets maximally distant from given subset. We obtain the general form for the metric complement of a linear subspace and some more exact description for the class of subspaces with basis of a special form. It is proved that the completely regular codes (including perfect and uniformly packed) are metrically regular. Bibliogr. 9.
Keywords: subspace, metrically regular set, metric complement, completely regular code, bent-function.
Funding agency Grant number
Russian Foundation for Basic Research 15-31-20635
Received: 22.09.2015
Revised: 09.03.2016
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 3, Pages 397–403
DOI: https://doi.org/10.1134/S1990478916030108
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. K. Oblaukhov, “Metric complements to subspaces in the Boolean cube”, Diskretn. Anal. Issled. Oper., 23:3 (2016), 93–106; J. Appl. Industr. Math., 10:3 (2016), 397–403
Citation in format AMSBIB
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\by A.~K.~Oblaukhov
\paper Metric complements to subspaces in the Boolean cube
\jour Diskretn. Anal. Issled. Oper.
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\issue 3
\pages 93--106
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\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 3
\pages 397--403
\crossref{https://doi.org/10.1134/S1990478916030108}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983474970}
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    • This publication is cited in the following 12 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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    References:28
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