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Integral quadratic forms and orthogonal designs

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Peter Eades
Peter Eades
Affiliation:
Department of Pure Mathematics, School of General Studies, Australian National University, Box 4, Canberra, A.C.T. 2600, Australia Department of Computer Science, University of Queensland, St. Lucia Queensland 4067, Australia
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Abstract

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Warren W. Wolfe obtained necessary conditions for the existence of orthogonal designs in terms of rational matrices. In this paper it is shown that these necessary conditions can be obtained in terms of integral matrices. In the integral form, Wolfe's theory is more useful in the construction of orthogonal designs.

MSC classification

Secondary: 05B20: Matrices (incidence, Hadamard, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 3 , February 1981 , pp. 297 - 306
Copyright
Copyright © Australian Mathematical Society 1981

References

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