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Problemy Peredachi Informatsii, 2010, Volume 46, Issue 3, Pages 22–28 (Mi ppi2019)  
This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

On switching equivalence of $n$-ary quasigroups of order 4 and perfect binary codes

D. S. Krotovab, V. N. Potapovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University
Full-text PDF (214 kB) Citations (4)
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Abstract: We prove that arbitrary $n$-ary quasigroups of order 4 can be transformed into each other by successive switchings of $\{a,b\}$-components. We prove that perfect (closely packed) binary codes with distance 3 whose rank (dimension of the linear span) is greater by 1 or 2 than the rank of a linear perfect code can be taken to each other by successive switchings of $i$-components.
Received: 06.11.2009
Revised: 14.05.2010
English version:
Problems of Information Transmission, 2010, Volume 46, Issue 3, Pages 219–224
DOI: https://doi.org/10.1134/S0032946010030026
Bibliographic databases:
Document Type: Article
UDC: 621.391.15+519.7
Language: Russian
Citation: D. S. Krotov, V. N. Potapov, “On switching equivalence of $n$-ary quasigroups of order 4 and perfect binary codes”, Probl. Peredachi Inf., 46:3 (2010), 22–28; Problems Inform. Transmission, 46:3 (2010), 219–224
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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