The minimum volume of subspace trades Научная публикация
| Журнал |
Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X |
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| Вых. Данные | Год: 2017, Том: 340, Номер: 12, Страницы: 2723-2731 Страниц : 9 DOI: 10.1016/j.disc.2017.08.012 | ||
| Ключевые слова | Bitrades, Trades, Subspace designs | ||
| Авторы |
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| Организации |
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Реферат:
A subspace bitrade of type Tq(t,k,v) is a pair (T0,T1) of two disjoint nonempty collections of k-dimensional subspaces of a v-dimensional space V over the finite field of order q such that every t-dimensional subspace of V is covered by the same number of subspaces from T0 and T1. In a previous paper, the minimum cardinality of a subspace Tq(t,t+1,v) bitrade was established. We generalize that result by showing that for admissible v, t, and k, the minimum cardinality of a subspace Tq(t,k,v) bitrade does not depend on k. An example of a minimum bitrade is represented using generator matrices in the reduced echelon form. For t=1, the uniqueness of a minimum bitrade is proved.
Библиографическая ссылка:
Krotov D.S.
The minimum volume of subspace trades
Discrete Mathematics. 2017. V.340. N12. P.2723-2731. DOI: 10.1016/j.disc.2017.08.012 WOS Scopus РИНЦ OpenAlex
The minimum volume of subspace trades
Discrete Mathematics. 2017. V.340. N12. P.2723-2731. DOI: 10.1016/j.disc.2017.08.012 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 28 июн. 2016 г. |
| Принята к публикации: | 8 авг. 2017 г. |
| Опубликована online: | 5 сент. 2017 г. |
Идентификаторы БД:
| Web of science: | WOS:000412621100001 |
| Scopus: | 2-s2.0-85028750380 |
| РИНЦ: | 31064594 |
| OpenAlex: | W2270759269 |