Equitable [[2, 10], [6, 6]]-partitions of the 12-cube Научная публикация
| Журнал |
Cryptography and Communications
ISSN: 1936-2447 , E-ISSN: 1936-2455 |
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| Вых. Данные | Год: 2024, Том: 16, Страницы: 975–996 Страниц : 22 DOI: 10.1007/s12095-024-00716-z | ||
| Ключевые слова | Orthogonal arrays · Correlation-immune boolean functions · Equitable partitions · Perfect colorings · Intriguing sets | ||
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| Организации |
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Информация о финансировании (2)
| 1 | Российский научный фонд | 22-11-00266 |
| 2 | Российский научный фонд | 18-11-00136 |
Реферат:
We describe the computer-aided classification of equitable partitions of the 12-cube with quotient matrix [[2, 10], [6, 6]], or, equivalently, simple orthogonal arrays OA(1536, 12, 2, 7), or order-7 correlation-immune Boolean functions in 12 arguments with 1536 ones (which completes the classification of unbalanced order-7 correlation-immune Boolean functions in 12 arguments and, as derived objects, unbalanced order-6 correlation-immune Boolean functions in 11 arguments). We find that there are 103 equivalence classes of the considered objects, and there are only two almost-OA(1536, 12, 2, 8) among them. Additionally, we find that there are 40 equivalence classes of pairs of disjoint simple OA(1536, 12, 2, 7) (equivalently, equitable partitions of the 12-cube with quotient matrix [[2, 6, 4], [6, 2, 4], [6, 6, 0]]) and discuss the existence of a non-simple OA(1536, 12, 2, 7).
Библиографическая ссылка:
Krotov D.S.
Equitable [[2, 10], [6, 6]]-partitions of the 12-cube
Cryptography and Communications. 2024. V.16. P.975–996. DOI: 10.1007/s12095-024-00716-z WOS Scopus РИНЦ OpenAlex
Equitable [[2, 10], [6, 6]]-partitions of the 12-cube
Cryptography and Communications. 2024. V.16. P.975–996. DOI: 10.1007/s12095-024-00716-z WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 20 июл. 2023 г. |
| Принята к публикации: | 17 апр. 2024 г. |
| Опубликована online: | 26 апр. 2024 г. |
| Опубликована в печати: | 18 сент. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:001208647100001 |
| Scopus: | 2-s2.0-85191384767 |
| РИНЦ: | 67079267 |
| OpenAlex: | W3110367038 |