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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2012, Issue 1, Pages 16–19
(Mi uzeru119)
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This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
Constant weight perfect and $D$-representable codes
V. K. Leont'eva, G. L. Movsisyanb, Zh. G. Margaryanc a Computer Centre, Russian Academy of Sciences, Moscow, Russia
b BIT Group, Moscow, Russia
c Chair of Discrete Mathematics and Theoretical Informatics YSU, Armenia
Abstract:
The problem of the existence of non trivial constant weight perfect codes in the
$B^n$-space defined over $GF(2)$ remains unsolved up to now. It has been proved in the
present paper that the problem of the existence of constant weight perfect codes is
equivalent to the problem of the existence of $D$-representable codes in the fixed layer.
Keywords:
constant weight perfect codes, space splitting, Dirichlet regions, $D$-representable codes.
Received: 04.04.2011 Accepted: 30.08.2011
Citation:
V. K. Leont'ev, G. L. Movsisyan, Zh. G. Margaryan, “Constant weight perfect and $D$-representable codes”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, no. 1, 16–19
Linking options:
https://www.mathnet.ru/eng/uzeru119 https://www.mathnet.ru/eng/uzeru/y2012/i1/p16
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Abstract page: | 119 | Full-text PDF : | 25 | References: | 27 |
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