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Steiner systems |
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| Authors: | M. J. Grannell T. S. Griggs R. A. Mathon. |
| Affiliation: | Department of Mathematics and Statistics, University of Central Lancashire, Preston PR1 2HE, United Kingdom T. S. Griggs ; Department of Mathematics and Statistics, University of Central Lancashire, Preston PR1 2HE, United Kingdom R. A. Mathon ; Department of Computer Science, University of Toronto, Toronto, Ontario, Canada M5S 1A4 |
| Abstract: | It is proved that there are precisely 4204 pairwise non-isomorphic Steiner systems  invariant under the group  and which can be constructed using only short orbits. It is further proved that there are precisely 38717 pairwise non-isomorphic Steiner systems |
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invariant under the group 
and which can be constructed using only short orbits.