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A Generalized Rao Bound for Ordered Orthogonal Arrays and (t, m, s)-Nets

Published online by Cambridge University Press:  20 November 2018

W. J. Martin
Affiliation:
Mathematics and Statistics University of Winnipeg Winnipeg, Manitoba R3B 2E9
D. R. Stinson
Affiliation:
Combinatorics and Optimization University of Waterloo Waterloo, Ontario N2L 3G1
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Abstract

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In this paper, we provide a generalization of the classical Rao bound for orthogonal arrays, which can be applied to ordered orthogonal arrays and $\left( t,\,m,\,s \right)$-nets. Application of our new bound leads to improvements in many parameter situations to the strongest bounds (i.e., necessary conditions) for existence of these objects.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1999

References

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