On switching equivalence of n-ary quasigroups of order 4 and perfect binary codes Full article
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Problems of Information Transmission
ISSN: 0032-9460 , E-ISSN: 1608-3253 |
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| Output data | Year: 2010, Volume: 46, Number: 3, Pages: 219-224 Pages count : 6 DOI: 10.1134/s0032946010030026 | ||||
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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.
Cite:
Krotov D.S.
, Potapov V.N.
On switching equivalence of n-ary quasigroups of order 4 and perfect binary codes
Problems of Information Transmission. 2010. V.46. N3. P.219-224. DOI: 10.1134/s0032946010030026 WOS Scopus РИНЦ OpenAlex
On switching equivalence of n-ary quasigroups of order 4 and perfect binary codes
Problems of Information Transmission. 2010. V.46. N3. P.219-224. DOI: 10.1134/s0032946010030026 WOS Scopus РИНЦ OpenAlex
Original:
Кротов Д.С.
, Потапов В.Н.
О свитчинговой эквивалентности n-арных квазигрупп порядка 4 и совершенных двоичных кодов
Проблемы передачи информации. 2010. Т.46. №3. С.22-28. РИНЦ
О свитчинговой эквивалентности n-арных квазигрупп порядка 4 и совершенных двоичных кодов
Проблемы передачи информации. 2010. Т.46. №3. С.22-28. РИНЦ
Dates:
| Submitted: | Nov 6, 2009 |
| Accepted: | May 14, 2010 |
| Published online: | Oct 19, 2010 |
Identifiers:
| Web of science: | WOS:000283175300002 |
| Scopus: | 2-s2.0-77958087568 |
| Elibrary: | 16980806 |
| OpenAlex: | W1997478971 |