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Construction of balanced incomplete block designs

Published online by Cambridge University Press:  09 April 2009

Elizabeth J. Morgan
Elizabeth J. Morgan
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, Q 4067, Australia.
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Abstract

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Given a symmetric balanced incomplete block design or a finite plane, we recursively construct balanced incomplete block designs by taking unions of certain blocks and points of the original design to be the blocks of the new design.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 3 , May 1977 , pp. 348 - 353
Copyright
Copyright © Australian Mathematical Society 1977

References

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Hall, M. (1967), Combinatorial Theory (Blaisdell, Waltham, Mass.).Google Scholar
Morgan, Elizabeth J. (1977), ‘Construction of balanced n-ary designs’. Utilitas Mathematica, 11, 3–31.Google Scholar