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Amicable orthogonal designs of order eight

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Deborah J. Street
Deborah J. Street
Affiliation:
Department of Mathematics University of QueenslandSt. Lucia, Queensland 4067, Australia
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Abstract

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New amicable orthogonal designs of order eight are given and they are used to construct ne orthogonal designs of order 32.

MSC classification

Secondary: 05B30: Other designs, configurations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 1 , August 1982 , pp. 23 - 29
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Geramita, Anthony V. and Seberry, Jennifer, Orthogonal designs: quadratic forms and Hadamard matrices (Marcel Dekker, New York, 1979).Google Scholar
[2]Robinson, Peter J. and Seberry, Jennifer, ‘On the structure and existence of some amicable orthogonal designs’, J. Austral. Math. Soc. 25 (1978), 118–128.CrossRefGoogle Scholar
[3]Seberry, Jennifer, ‘10-tuples in order 32 which satisfy necessary conditions’ (Research Report. Department of Applied Mathematics. University of Sydney, 1980).Google Scholar
[4]Wolfe, Warren W., Orthogonal designs—amicable orthogonal designs—some algebraic and combinatorial techniques (Ph.D. Dissertation, Queen's University, Kingston, Ontario, 1975).Google Scholar