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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  and
D. R. Stinson
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

05B1565C99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 3 , 01 September 1999 , pp. 359 - 370
Copyright
Copyright © Canadian Mathematical Society 1999

References

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