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Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6).
- Source :
-
Problems of Information Transmission . Jan2020, Vol. 56 Issue 1, p23-32. 10p. - Publication Year :
- 2020
-
Abstract
- A Steiner triple system (STS) contains a transversal subdesign TD(3, w) if its point set has three pairwise disjoint subsets A, B, C of size w and w2 blocks of the STS intersect with each of A, B, C (those w2 blocks form a TD(3,w)). We prove several structural properties of Steiner triple systems of order 3w + 3 that contain one or more transversal subdesigns TD(3, w). Using exhaustive search, we find that there are 2 004 720 isomorphism classes of STS(21) containing a subdesign TD(3, 6) (or, equivalently, a 6 × 6 Latin square). [ABSTRACT FROM AUTHOR]
- Subjects :
- *STEINER systems
*MAGIC squares
*POINT set theory
Subjects
Details
- Language :
- English
- ISSN :
- 00329460
- Volume :
- 56
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Problems of Information Transmission
- Publication Type :
- Academic Journal
- Accession number :
- 142764631
- Full Text :
- https://doi.org/10.1134/S0032946020010032