Self-dual Hadamard bent sequences Научная публикация
| Журнал |
Journal of Systems Science and Complexity
ISSN: 1009-6124 , E-ISSN: 1559-7067 |
||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Вых. Данные | Год: 2023, Том: 36, Номер: 2, Страницы: 894-908 Страниц : 15 DOI: 10.1007/s11424-023-2276-8 | ||||||||||
| Ключевые слова | Bent sequences, bush-type Hadamard matrices, Hadamard matrices, PUF functions, regular Hadamard matrices | ||||||||||
| Авторы |
|
||||||||||
| Организации |
|
Реферат:
A new notion of bent sequence related to Hadamard matrices was introduced recently, motivated by a security application (Solé et al, 2021). The authors study the self-dual class in length at most 196. The authors use three competing methods of generation: Exhaustion, Linear Algebra and Gröbner bases. Regular Hadamard matrices and Bush-type Hadamard matrices provide many examples. The authors conjecture that if v is an even perfect square, a self-dual bent sequence of length v always exists. The authors introduce the strong automorphism group of Hadamard matrices, which acts on their associated self-dual bent sequences. The authors give an efficient algorithm to compute that group.
Библиографическая ссылка:
Shi M.
, Li Y.
, Cheng W.
, Crnković D.
, Krotov D.
, Solé P.
Self-dual Hadamard bent sequences
Journal of Systems Science and Complexity. 2023. V.36. N2. P.894-908. DOI: 10.1007/s11424-023-2276-8 WOS Scopus РИНЦ OpenAlex
Self-dual Hadamard bent sequences
Journal of Systems Science and Complexity. 2023. V.36. N2. P.894-908. DOI: 10.1007/s11424-023-2276-8 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 26 июн. 2022 г. |
| Опубликована в печати: | 19 апр. 2023 г. |
| Опубликована online: | 19 апр. 2023 г. |
Идентификаторы БД:
| Web of science: | WOS:000975069300022 |
| Scopus: | 2-s2.0-85153193733 |
| РИНЦ: | 61435182 |
| OpenAlex: | W4226191534 |