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Asymptotic Existence of Tight Orthogonal Main Effect Plans

Published online by Cambridge University Press:  20 November 2018

Robert Gallant  and
Charles J. Colbourn
Robert Gallant
Affiliation:
Department of Combinatorics and Optimization University of Waterloo Waterloo, Ontario N2L 3G1
Charles J. Colbourn
Affiliation:
Department of Combinatorics and Optimization University of Waterloo Waterloo, Ontario N2L 3G1
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Abstract

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Our main result is showing the asymptotic existence of tight $\text{OMEPs}$. More precisely, for each fixed number $k$ of rows, and with the exception of $\text{OMEPs}$ of the form $2\times 2\times \cdot \cdot \cdot 2\times 2s\,//\,4s\,\,$ with $s$ odd and with more than three rows, there are only a finite number of tight $\text{OMEP}$ parameters for which the tight $\text{OMEP}$ does not exist.

Keywords

62K9905B15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 1 , 01 March 1998 , pp. 33 - 40
Copyright
Copyright © Canadian Mathematical Society 1998

References

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