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Problemy Peredachi Informatsii, 2018, Volume 54, Issue 3, Pages 54–61
(Mi ppi2272)
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This article is cited in 4 scientific papers (total in 4 papers)
Coding Theory
On $m$-near-resolvable block designs and $q$-ary constant-weight codes
L. A. Bassalygo, V. A. Zinoviev, V. S. Lebedev Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Abstract:
We introduce $m$-near-resolvable block designs. We establish a correspondence between such block designs and a subclass of (optimal equidistant) $q$-ary constant-weight codes meeting the Johnson bound. We present constructions of $m$-near-resolvable block designs, in particular based on Steiner systems and super-simple $t$-designs.
Received: 08.12.2017 Revised: 09.04.2018
Citation:
L. A. Bassalygo, V. A. Zinoviev, V. S. Lebedev, “On $m$-near-resolvable block designs and $q$-ary constant-weight codes”, Probl. Peredachi Inf., 54:3 (2018), 54–61; Problems Inform. Transmission, 54:3 (2018), 245–252
Linking options:
https://www.mathnet.ru/eng/ppi2272 https://www.mathnet.ru/eng/ppi/v54/i3/p54
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