Completely regular codes with covering radius 1 and the second eigenvalue in 3-dimensional Hamming graphs | Sciact - Система учета научной деятельности ИМ СО РАН

Completely regular codes with covering radius 1 and the second eigenvalue in 3-dimensional Hamming graphs Научная публикация

Журнал

Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X

Вых. Данные

Год: 2025, Том: 348, Номер: 2, Номер статьи : 114296, Страниц : 16 DOI: 10.1016/j.disc.2024.114296

Авторы

Mogilnykh Ivan ¹ , Taranenko Anna ¹ , Vorob'ev Konstantin ¹

Организации

1	Sobolev Institute of Mathematics

Информация о финансировании (1)

Российский научный фонд

22-11-00266

We obtain a classification of completely regular codes with covering radius 1 and the second eigenvalue in the Hamming graphs H(3,q) up to q and intersection array. Due to the works of Meyerowitz, Mogilnykh, and Valyuzenich, our result completes the classifications of completely regular codes with covering radius 1 and the second eigenvalue in the Hamming graphs H(n,q) for any n and completely regular codes with covering radius 1 in H(3,q)

Mogilnykh I. , Taranenko A. , Vorob'ev K.
Completely regular codes with covering radius 1 and the second eigenvalue in 3-dimensional Hamming graphs
Discrete Mathematics. 2025. V.348. N2. 114296 :1-16. DOI: 10.1016/j.disc.2024.114296 WOS Scopus OpenAlex

Поступила в редакцию:	4 апр. 2024 г.
Принята к публикации:	14 окт. 2024 г.
Опубликована online:	31 окт. 2024 г.
Опубликована в печати:	14 февр. 2025 г.

Web of science:	WOS:001349570100001
Scopus:	2-s2.0-85207552990
OpenAlex:	W4403973113

Пока нет цитирований