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Recursive constructions and some properties of twofold designs with block size four

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

K. T. Phelps  and
A. Rosa
K. T. Phelps
Affiliation:
School of Mathematics Georgia Institute of TechnologyAtlanta, Georgia 30332, U.S.A.
A. Rosa
Affiliation:
Department of Mathematics and Statistics McMaster UniversityHamilton, OntarioCanadaL8S 4K1
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Abstract

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

MSC classification

Secondary: 05B05: Block designs
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 44 , Issue 1 , February 1988 , pp. 64 - 70
Copyright
Copyright © Australian Mathematical Society 1988

References

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