Anti‐Pasch optimal packings with triples.

It is shown that for v≠6,7,10,11,12,13, there exists an optimal packing with triples on v points that contains no Pasch configurations. Furthermore, for all v≡5 (mod 6), there exists a pairwise balanced design of order v, whose blocks are all triples apart from a single quintuple, and that has no Pasch configurations amongst its triples. [ABSTRACT FROM AUTHOR]