Multispreads Full article
| Journal |
Finite Fields and their Applications
ISSN: 1071-5797 , E-ISSN: 1090-2465 |
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| Output data | Year: 2025, Volume: 108, Article number : 102675, Pages count : 25 DOI: 10.1016/j.ffa.2025.102675 | ||
| Tags | spreads, multispreads, additive codes, one-weight codes, completely regular codes, intriguing sets | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 22-11-00266 |
Abstract:
Additive one-weight codes over a finite field of non-prime order are equivalent to special subspace coverings of the points of a projective space, which we call multispreads. The current paper is devoted to the characterization of the parameters of multispreads, which is equivalent to the characterization of the parameters of additive one-weight codes and, via duality, of additive completely regular codes of covering radius 1 (intriguing sets). We characterize these parameters for the case of the prime-square order of the field and make a partial characterization for the prime-cube case and the case of the fourth degree of a prime, including a complete characterization for orders 8, 27, and 16.
Cite:
Krotov D.S.
, Mogilnykh I.Y.
Multispreads
Finite Fields and their Applications. 2025. V.108. 102675 :1-25. DOI: 10.1016/j.ffa.2025.102675 Scopus
Multispreads
Finite Fields and their Applications. 2025. V.108. 102675 :1-25. DOI: 10.1016/j.ffa.2025.102675 Scopus
Dates:
| Submitted: | Mar 19, 2024 |
| Accepted: | May 23, 2025 |
| Published online: | Jun 13, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105007790466 |
Citing:
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