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Reducible 2 – (11, 5, 4) and 3 – (12, 6, 4) designs

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

D. R. Breach  and
A. R. Thompson
D. R. Breach
Affiliation:
Department of MathematicsUniversity of CanterburyChristchurch, New Zealand
A. R. Thompson
Affiliation:
Department of MathematicsUniversity of CanterburyChristchurch, New Zealand
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Abstract

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One way of constructing a 2 – (11,5,4) design is to take together all the blocks of two 2 – (11,5,2) designs having no blocks in common. We show that 58 non-isomorphic 2 – (11,5,4) designs can be so made and that through extensions by complementation these can be packaged into just 12 non-isomorphic reducible 3 – (12,6,4) designs.

MSC classification

Secondary: 05B05: Block designs
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 2 , October 1985 , pp. 194 - 215
Copyright
Copyright © Australian Mathematical Society 1985

References

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