Large sets of large sets of Steiner triple systems of order 9

Bryant, D.; Grannell, M. J. and Griggs, T. S. (2003). Large sets of large sets of Steiner triple systems of order 9. Utilitas Mathematica, 64, pp. 115–118.

Abstract

We describe a direct method of partitioning the 840 Steiner triple systems of order 9 into 120 large sets. The method produces partitions in which all of the large sets are isomorphic and we apply the method to each of the two non-isomorphic large sets of STS(9).

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