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Bhaskar Rao designs from cyclotomy

Part of: Designs and configurations

Published online by Cambridge University Press:  09 April 2009

Deborah J. Street
Deborah J. Street
Affiliation:
Department of Mathematical Statistics University of SydneyN.S.W. 2006, Australia
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Abstract

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A Bhaskar Rao design is obtained from the incidence matrix of a partially balanced incomplete block design with m associate classes by negating some elements of the matrix in such a way that the inner product of rows α and β is ci if α and β are ith associates. In this paper we use nested designs constructed from unions of cyclotomic classes to give Bhaskar Rao designs.

MSC classification

Secondary: 05B20: Matrices (incidence, Hadamard, etc.) 05B30: Other designs, configurations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 4 , June 1980 , pp. 425 - 430
Copyright
Copyright © Australian Mathematical Society 1980

References

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