@Book{198791595X, author="Gr{\"u}ttm{\"u}ller, Martin and Streso, Katy", title="On the existence of a PBD(30, {\{} 4, 5, 7, 8*{\}})", series="Preprints aus dem Institut f{\"u}r Mathematik", year="2003", address="Germany; Rostock", 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.", note="Martin Gr{\"u}ttm{\"u}ller and Katy Streso", doi="10.18453/rosdok_id00005918", url="https://purl.uni-rostock.de/rosdok/id00005918", url="https://doi.org/10.18453/rosdok_id00005918", language="English" }