%0 Book
%T Pairwise balanced designs whose block size set contains seven and thirteen
%A Greig, M.
%A Grüttmüller, Martin
%A Hartmann, Sven
%S Preprints aus dem Institut für Mathematik
%D 2005
%C Germany; Rostock
%G English
%F 1987203445
%O M. Greig, M. Grüttmüller, S. Hartmann
%X In this paper, we investigate the PBD-closure of sets K with {7, 13} ⊆ K ⊆ {7, 13, 19, 25, 31, 37, 43}. In particular, we show that v ≡ 1 mod 6, v ≥ 98689 implies v ∈ B({7,13}). As a preliminary result, many new 13-GDDs of type 13^q and resolvable BIBD with block size 6 or 12 are also constructed. Furthermore, we show some elements to be not essential in a Wilson bases for the PBD-closed set {v : v ≡ 1 mod 6, v ≥ 7}.<eng>
%L 510
%9 Text
%R 10.18453/rosdok_id00005894
%U https://purl.uni-rostock.de/rosdok/id00005894
%U https://doi.org/10.18453/rosdok_id00005894