Martin Grüttmüller, Katy Streso
On the Existence of a PBD$(30,\{4,5,7,8^*\})$
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock
05B30 Other designs, configurations, See also {51E30}
Abstract: In the present paper we will prove
by an exhaustive search method that a
pairwise balanced design on 30 points
with blocks of size 4,5,7 and exactly
one block of size 8 does not exist.

Keywords: pairwise balanced design