Completely regular codes with covering radius 1 and the second eigenvalue in 3-dimensional Hamming graphs Full article
| Journal |
Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X |
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| Output data | Year: 2025, Volume: 348, Number: 2, Article number : 114296, Pages count : 16 DOI: 10.1016/j.disc.2024.114296 | ||
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 22-11-00266 |
Abstract:
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)
Cite:
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
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
Dates:
| Submitted: | Apr 4, 2024 |
| Accepted: | Oct 14, 2024 |
| Published online: | Oct 31, 2024 |
| Published print: | Feb 14, 2025 |
Identifiers:
| Web of science: | WOS:001349570100001 |
| Scopus: | 2-s2.0-85207552990 |
| OpenAlex: | W4403973113 |
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