The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes Full article
| Journal |
Discrete Mathematics
ISSN: 0012-365X , E-ISSN: 1872-681X |
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| Output data | Year: 2024, Volume: 347, Number: 5, Article number : 113923, Pages count : 8 DOI: 10.1016/j.disc.2024.113923 | ||
| Tags | binary orthogonal array, completely regular code, binary 1-perfect code | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 22-11-00266 |
Abstract:
We describe the classification of orthogonal arrays OA(2048,14,2,7), or, equivalently, completely regular [14;2]-codes in the 14-cube (30848 equivalence classes). In particular, we find that there is exactly one almost-OA(2048,14,2,7+1), up to equivalence. As derived objects, OA(1024,13,2,6) (202917 classes) and completely regular [12,2;2,12]- and [14, 12, 2; 2, 12, 14]-codes in the 13- and 14-cubes, respectively, are also classified.
Cite:
Krotov D.S.
The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes
Discrete Mathematics. 2024. V.347. N5. 113923 :1-8. DOI: 10.1016/j.disc.2024.113923 WOS Scopus РИНЦ OpenAlex
The classification of orthogonal arrays OA(2048,14,2,7) and some completely regular codes
Discrete Mathematics. 2024. V.347. N5. 113923 :1-8. DOI: 10.1016/j.disc.2024.113923 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Oct 22, 2023 |
| Accepted: | Jan 30, 2024 |
| Published online: | Feb 9, 2024 |
| Published print: | Mar 4, 2024 |
Identifiers:
| Web of science: | WOS:001182488000001 |
| Scopus: | 2-s2.0-85185463197 |
| Elibrary: | 66138920 |
| OpenAlex: | W4391707761 |