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An extension theorem for Steiner systems
1995
Discrete Mathematics
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Given a Steiner system S(2,k-1;v) with v>~vo(k), there is a 3-design Sa(3, k;v+ t) such that the derived design is 2 copies of the Steiner system for any 2 sufficiently large satisfying the standard arithmetic conditions. This theorem has applications in the construction of Steiner 3-designs.
doi:10.1016/0012-365x(93)e0190-f
fatcat:uhdctkr425dobgabp4zbasg5cq