Transitive Steiner and Kirkman triple systems of order 27

Colbourn, Charles J.; Magliveras, Spyros S.; Mathon, Rudolf A.

doi:10.1090/S0025-5718-1992-1106962-5

Transitive Steiner and Kirkman triple systems of order $27$
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by Charles J. Colbourn, Spyros S. Magliveras and Rudolf A. Mathon PDF

Math. Comp. 58 (1992), 441-449 Request permission

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.

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