J Austral Math Soc Ser A 44 pp64--70, 1988.

Recursive Constructions and Some Properties of Twofold Designs with Block Size Four

K. T. Phelps and A. Rosa

(Received 16 May 1986; revised 10 September 1986)

Abstract

A direct construction for partially resolvable t-partitions is presented and then used to give a recursive construction for BIBDs (v, 4, 2). In particular, we construct BIBD(v, 4, 2) with BIBD(u, 4, 2) embedded in it whenever v = 3u + a, a Î {1, 4, 7}. This result allows us to give simple proofs for the existence of BIBD(v, 4, 2) with various additional properties.

1980 AMS Subject Classification: 05B05

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Authors

K. T. Phelps: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A.
A. Rosa: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1.

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Last Modified: Wed Feb 19 10:27:48 2003