The extended 1-perfect trades in small hypercubes Научная публикация
| Журнал |
Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X |
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| Вых. Данные | Год: 2017, Том: 340, Номер: 10, Страницы: 2559-2572 Страниц : 14 DOI: 10.1016/j.disc.2017.06.016 | ||
| Ключевые слова | trades, bitrades, 1-perfect code, Steiner trades, small Witt design | ||
| Авторы |
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| Организации |
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Реферат:
An extended 1-perfect trade is a pair (T0,T1) of two disjoint binary distance-4 even-weight codes such that the set of words at distance 1 from T0 coincides with the set of words at distance 1 from T1. Such trade is called primary if any pair of proper subsets of T0 and T1 is not a trade. Using a computer-aided approach, we classify nonequivalent primary extended 1-perfect trades of length 10, constant-weight extended 1-perfect trades of length 12, and Steiner trades derived from them. In particular, all Steiner trades with parameters (5,6,12) are classified.
Библиографическая ссылка:
Krotov D.S.
The extended 1-perfect trades in small hypercubes
Discrete Mathematics. 2017. V.340. N10. P.2559-2572. DOI: 10.1016/j.disc.2017.06.016 WOS Scopus РИНЦ OpenAlex
The extended 1-perfect trades in small hypercubes
Discrete Mathematics. 2017. V.340. N10. P.2559-2572. DOI: 10.1016/j.disc.2017.06.016 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 19 апр. 2016 г. |
| Принята к публикации: | 15 июн. 2017 г. |
| Опубликована online: | 8 июл. 2017 г. |
Идентификаторы БД:
| Web of science: | WOS:000407182200028 |
| Scopus: | 2-s2.0-85021903136 |
| РИНЦ: | 31049800 |
| OpenAlex: | W2193463959 |