Sets of Steiner triple systems of order 9 revisited

Authors:
T. S. Griggs;A. Rosa
Affiliations:
Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes, United Kingdom MK7 6AA;Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1
Venue:
DESIGNS 2002
Year:
2003

Citing 2
Cited 0

A completion of Lu's determination of the spectrum of large sets of disjoint Steiner Triple systems

Journal of Combinatorial Theory Series A
Large sets of Steiner triple systems

Surveys in combinatorics, 1995

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Abstract

We determine all minimal large sets of 8 Steiner triple systems of order 9 (STS(9)); there are precisely four pairwise nonisomorphic solutions. We also classify all maximal sets of STS(9) which mutually intersect in the same number of triples (uniformly intersecting sets).