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# Asymptotic existence of tight orthogonal main effect plans

Published:1998-03-01
Printed: Mar 1998
• Robert Gallant
• Charles J. Colbourn
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## Abstract

Our main result is showing the asymptotic existence of tight $\OMEP$s. More precisely, for each fixed number $k$ of rows, and with the exception of $\OMEP$s of the form $2 \times 2 \times \cdots 2 \times 2s\specdiv 4s$ with $s$ odd and with more than three rows, there are only a finite number of tight $\OMEP$ parameters for which the tight $\OMEP$ does not exist.
 MSC Classifications: 62K99 - None of the above, but in this section 05B15 - Orthogonal arrays, Latin squares, Room squares

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