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On the structure and existence of some amicable orthogonal designs

Part of: Design of experiments Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Peter J. Robinson  and
Jennifer Seberry
Peter J. Robinson
Affiliation:
Institute of Advanced Studies Australian National UniversityCanberra
Jennifer Seberry
Affiliation:
Department of Applied Mathementics The University of Sydney
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Abstract

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The structure is determined for the existence of some amicable weighing matrices. This is then used to prove the existence and non-existence of some amicable orthogonal designs in powers of two.

MSC classification

Secondary: 05B20: Matrices (incidence, Hadamard, etc.) 62K99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1978 , pp. 118 - 128
Copyright
Copyright © Australian Mathematical Society 1978

References

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