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Asymptotic existence of tight orthogonal main effect plans |
Canad. Math. Bull. 41(1998), 33-40
Published:1998-03-01
Printed: Mar 1998
Printed: Mar 1998
- Robert Gallant
- Charles J. Colbourn
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 |