This page contains new results in the area of
combinatorial designs that have occurred since the publication of the
Handbook of Combinatorial Designs, Second Edition in November 2006.
The results here would be contained in Part IV of the Handbook.
Last edited 10/1/07
Page 256, Theorem 4.5. This theorem is now a special case of the following theorem: Let u, v and x be positive integers with v \leq u. Then a 3-GDD of type u1 v1 1x exists if and only if u, v and x are odd, uv+ux+vx+\binom{x}{2} \equiv 0 (mod 3), and x \geq u. This result appears in Darryn Bryant and Daniel Horsley, Steiner triple systems with two disjoint subsystems, J. Combin. Des., 14, 14-24 (2006). Darryn Bryant (db@maths.uq.edu.au) Sept. 2007.
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