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On the classification of unitals on 28 points of low rank.
- Source :
-
Applicable Algebra in Engineering, Communication & Computing . Dec2022, Vol. 33 Issue 6, p903-913. 11p. - Publication Year :
- 2022
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ISOMORPHISM (Mathematics)
*CLASSIFICATION
*RATING of students
*LINEAR codes
Subjects
Details
- Language :
- English
- ISSN :
- 09381279
- Volume :
- 33
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Applicable Algebra in Engineering, Communication & Computing
- Publication Type :
- Academic Journal
- Accession number :
- 160295170
- Full Text :
- https://doi.org/10.1007/s00200-022-00541-y