Multispreads Научная публикация
| Журнал |
Finite Fields and their Applications
ISSN: 1071-5797 , E-ISSN: 1090-2465 |
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| Вых. Данные | Год: 2025, Том: 108, Номер статьи : 102675, Страниц : 25 DOI: 10.1016/j.ffa.2025.102675 | ||
| Ключевые слова | spreads, multispreads, additive codes, one-weight codes, completely regular codes, intriguing sets | ||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 22-11-00266 |
Реферат:
Additive one-weight codes over a finite field of non-prime order are equivalent to special subspace coverings of the points of a projective space, which we call multispreads. The current paper is devoted to the characterization of the parameters of multispreads, which is equivalent to the characterization of the parameters of additive one-weight codes and, via duality, of additive completely regular codes of covering radius 1 (intriguing sets). We characterize these parameters for the case of the prime-square order of the field and make a partial characterization for the prime-cube case and the case of the fourth degree of a prime, including a complete characterization for orders 8, 27, and 16.
Библиографическая ссылка:
Krotov D.S.
, Mogilnykh I.Y.
Multispreads
Finite Fields and their Applications. 2025. V.108. 102675 :1-25. DOI: 10.1016/j.ffa.2025.102675 Scopus
Multispreads
Finite Fields and their Applications. 2025. V.108. 102675 :1-25. DOI: 10.1016/j.ffa.2025.102675 Scopus
Даты:
| Поступила в редакцию: | 19 мар. 2024 г. |
| Принята к публикации: | 23 мая 2025 г. |
| Опубликована online: | 13 июн. 2025 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-105007790466 |
Цитирование в БД:
Пока нет цитирований