A Computer Search of Maximal Partial Spreads in $PG(3,q)$

Abstract

From a computer search, new minimum sizes for the maximal partial spreads in $PG(3,q)$ have been obtained for $q=8,9,16$ and for every $q$ such that $25\le q\le 101$. Furthermore, density results in the cases $q=8,9,16,19,23,25,27$ have been obtained. Finally, the already known exceptional size $45$ for $q=7$ has been found again.