Steiner systems $S(5,6,v)$ with $v=72$ and $84$
Authors:
M. J. Grannell, T. S. Griggs and R. A. Mathon
Journal:
Math. Comp. 67 (1998), 357-359
MSC (1991):
Primary 05B05
DOI:
https://doi.org/10.1090/S0025-5718-98-00924-7
Supplement:
Additional information related to this article.
MathSciNet review:
1451323
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Abstract: It is proved that there are precisely 4204 pairwise non-isomorphic Steiner systems $S(5,6,72)$ invariant under the group $\mathrm {PSL}_2(71)$ and which can be constructed using only short orbits. It is further proved that there are precisely 38717 pairwise non-isomorphic Steiner systems $S(5,6,84)$ invariant under the group $\mathrm {PSL}_2(83)$ and which can be constructed using only short orbits.
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Additional Information
M. J. Grannell
Affiliation:
Department of Mathematics and Statistics, University of Central Lancashire, Preston PR1 2HE, United Kingdom
T. S. Griggs
Affiliation:
Department of Mathematics and Statistics, University of Central Lancashire, Preston PR1 2HE, United Kingdom
R. A. Mathon
Affiliation:
Department of Computer Science, University of Toronto, Toronto, Ontario, Canada M5S 1A4
Received by editor(s):
April 5, 1996
Article copyright:
© Copyright 1998
American Mathematical Society
