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Mathematics of Computation

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Transitive Steiner and Kirkman triple systems of order $27$

Authors: Charles J. Colbourn, Spyros S. Magliveras and Rudolf A. Mathon
Journal: Math. Comp. 58 (1992), 441-449
MSC: Primary 05B07
MathSciNet review: 1106962
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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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Article copyright: © Copyright 1992 American Mathematical Society