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Published online by Cambridge University Press: 20 November 2018
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.