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Prikladnaya Diskretnaya Matematika. Supplement, 2015, Issue 8, Pages 13–15
DOI: https://doi.org/10.17223/2226308X/8/4 (Mi pdma231) 		 
Theoretical Foundations of Applied Discrete Mathematics

On some metrical properties of linear subspaces in Boolean cube

A. K. Oblaukhov

Novosibirsk State University, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/8/4
Abstract: Metric complements of Boolean cube subsets are studied. General characteristics of linear subspaces' metric complements are given. Subspaces with special bases are studied. It is proven that completely regular (and therefore perfect and uniformly packed) codes are metrically regular.
Keywords: subspace, metrically regular set, metric complement, completely regular code.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. K. Oblaukhov, “On some metrical properties of linear subspaces in Boolean cube”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 13–15
Citation in format AMSBIB
\Bibitem{Obl15}
\by A.~K.~Oblaukhov
\paper On some metrical properties of linear subspaces in Boolean cube
\jour Prikl. Diskr. Mat. Suppl.
\yr 2015
\issue 8
\pages 13--15
\mathnet{http://mi.mathnet.ru/pdma231}
\crossref{https://doi.org/10.17223/2226308X/8/4}
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