A series of group divisible designs
- 1 January 1991
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 20 (5-6) , 1677-1682
- https://doi.org/10.1080/03610929108830591
Abstract
Bose and Shrikhande C19763 proved that if D(m, k, ⋋) is a Baer subdesign of another SBIBD D1 (v1, k1 ⋋), k1>k, then it also contains a complementary subdesign D* which is symmetric GDD, D* (v*, k*; ⋋-1, ⋋; m, n). Utilising this, we give a necessary condition for a SBIBD D to be a Baer subdesign of D1 and also give the parameters. Some GD designs are constructed.Keywords
This publication has 3 references indexed in Scilit:
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- Some remarks on subdesigns of symmetric designsJournal of Statistical Planning and Inference, 1979
- On a combinatorial generalization of 27 lines associated with a cubic surfaceJournal of the Australian Mathematical Society, 1969