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A Doubling Construction for Overlarge Sets of Steiner Triple Systems

Martin J. Sharry1, Anne Penfold Street1
1 Centre for Combinatorics, Department of Mathematics The University of Queensland, Queensland 4072, AUSTRALIA

Abstract

Given an overlarge set of Steiner triple systems, each on v points, we construct an overlarge set of Steiner triple systems, each on 2v+1 points. Overlarge sets with specified properties can be constructed in this way; in particular, we construct overlarge sets which cannot be derived from Steiner quadruple systems.