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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Math. Comp. 58 (1992), 441-449
- MSC: Primary 05B07
- DOI: https://doi.org/10.1090/S0025-5718-1992-1106962-5
- MathSciNet review: 1106962