TY  - BOOK
AU  - Greig, M.
AU  - Grüttmüller, Martin
AU  - Hartmann, Sven
PY  - 2005
DA  - 2005//
TI  - Pairwise balanced designs whose block size set contains seven and thirteen
T3  - Preprints aus dem Institut für Mathematik
CY  - Germany; Rostock
AB  - 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>
UR  - https://purl.uni-rostock.de/rosdok/id00005894
UR  - https://doi.org/10.18453/rosdok_id00005894
DO  - 10.18453/rosdok_id00005894
LA  - English
N1  - M. Greig, M. Grüttmüller, S. Hartmann
ID  - 1987203445
ER  -