Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

On the classification of unitals on 28 points of low rank

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00006638
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) .
ISSN 1432-0622
DOI der Verlagsversion: https://doi.org/10.1007/s00200-022-00541-y

[img]
Format: PDF
Name: s00200-022-00541-y.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (1MB)

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

Downloads

Downloads per month over past year