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Problemy Peredachi Informatsii, 1987, Volume 23, Issue 1, Pages 106–109 (Mi ppi768)  
Сorrespondence

Description of Maximal Subsets of a Given Diameter in a Hamming space

S. L. Bezrukov
Full-text PDF (451 kB)
Abstract: We describe all maximal (with respect to cardinality) subsets of a unit $n$-cube $B^n$ that have a given diameter. As a corollary, for an arbitrary number $m$, $1\leq m\leq 2^n$, we find one of the subsets of cardinality $m$ with the minimum possible diameter.
Received: 20.09.1984
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: S. L. Bezrukov, “Description of Maximal Subsets of a Given Diameter in a Hamming space”, Probl. Peredachi Inf., 23:1 (1987), 106–109; Problems Inform. Transmission, 23:1 (1987), 106–109
Citation in format AMSBIB
\Bibitem{Bez87}
\by S.~L.~Bezrukov
\paper Description of Maximal Subsets of a~Given Diameter in a~Hamming space
\jour Probl. Peredachi Inf.
\yr 1987
\vol 23
\issue 1
\pages 106--109
\mathnet{http://mi.mathnet.ru/ppi768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=893973}
\zmath{https://zbmath.org/?q=an:0651.05026}
\transl
\jour Problems Inform. Transmission
\yr 1987
\vol 23
\issue 1
\pages 106--109
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