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Steiner triple systems of order 19 and 21 with subsystems of order 7 |
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| Authors: | Petteri Kaski,Patric R.J. Ö stergÅ rd,Svetlana Topalova,Rosen Zlatarski |
| Affiliation: | a Laboratory for Theoretical Computer Science, Helsinki University of Technology, P.O. Box 5400, 02015 TKK, Finland b Department of Electrical and Communications Engineering, Helsinki University of Technology, P.O. Box 3000, 02015 TKK, Finland c Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, P.O. Box 323, 5000 Veliko Tarnovo, Bulgaria |
| Abstract: | Steiner triple systems (STSs) with subsystems of order 7 are classified. For order 19, this classification is complete, but for order 21 it is restricted to Wilson-type systems, which contain three subsystems of order 7 on disjoint point sets. The classified STSs of order 21 are tested for resolvability; none of them is doubly resolvable. |
| Keywords: | Classification Doubly resolvable design Steiner triple system Subsystem |
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