On the classification of unitals on 28 points of low rank
Document Type
Article
Publication Date
2-8-2022
Department
Department of Mathematical Sciences
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.
Publication Title
Applicable Algebra in Engineering, Communications and Computing
Recommended Citation
Tonchev, V.,
&
Wassermann, A.
(2022).
On the classification of unitals on 28 points of low rank.
Applicable Algebra in Engineering, Communications and Computing.
http://doi.org/10.1007/s00200-022-00541-y
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/15744