A computer search of maximal partial spreads in PG(3,q) [article]

Maurizio Iurlo, Sandro Rajola
2011 arXiv   pre-print
In this work we find new minimum sizes for the maximal partial spreads of PG(3,q), for q=8,9,16 and for every q such that 25≤ q≤ 101. Furthermore, for q=8,9,16,25 and 27 we find all the unknown sizes between our minimums and the value q^2-q+2. Moreover, we obtain density results also in the cases q=19 and q=23, already studied but not yet completed. Finally, we find the known exceptional size 45 for q=7.
arXiv:1011.5338v2 fatcat:unm6idxhubbrdmmoj2iw4dkuue