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URN to cite this document: urn:nbn:de:bvb:703-epub-6638-5
Title data
Tonchev, Vladimir ; Wassermann, Alfred:
On the classification of unitals on 28 points of low rank.
In: Applicable algebra in engineering, communication and computing.
(8 February 2022)
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ISSN 1432-0622
DOI der Verlagsversion: https://doi.org/10.1007/s00200-022-00541-y
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Abstract
The classification of unitals with parameters 2-(28, 4, 1) according to the 2-rank of their incidence matrices was initiated by McGuire, Tonchev and Ward, who proved that the 2-rank of any unital on 28 points is greater than or equal to 19, and up to isomorphism, there is a unique unital with 2-rank equal to 19. Jaffe and Tonchev investigated the next two 2-ranks, 20 and 21, and showed that there are no unitals on 28 points with 2-rank equal to 20, and there are exactly 4 isomorphism classes of unitals of rank 21. The subject of this paper is the classification of unitals having 2-rank 22, 23 and 24.
Further data
| Item Type: | Article in a journal |
|---|---|
| Keywords: | Unital; Combinatorial design; Linear code; Self-orthogonal code; Doubly-even code |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics and Didactics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-epub-6638-5 |
| Date Deposited: | 13 Sep 2022 09:31 |
| Last Modified: | 13 Sep 2022 09:31 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/6638 |
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