An extension theorem for Steiner systems

John L. Blanchard
1995 Discrete Mathematics  
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