Abstract
There are 71 Steiner triple systems of order 27 whose automorphism groups are point-transitive, and there are 248 transitive Kirkman triple systems of order 27. Computational methods used to find these designs are outlined.The designs and some of their properties are presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 441-450 |
| Number of pages | 10 |
| Journal | Mathematics of Computation |
| Volume | 58 |
| Issue number | 197 |
| DOIs | |
| State | Published - 1992 |
| Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics
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Cite this
Colbourn, C., Magliveras, S. S., & Mathon, R. A. (1992). Transitive steiner and kirkman triple systems of order 27. Mathematics of Computation, 58(197), 441-450. https://doi.org/10.1090/S0025-5718-1992-1106962-5