The maximum size of a partial spread in H(4n+1,q2) is q2n+1+1.
Vanhove, Frédéric
The Electronic Journal of Combinatorics [electronic only], Tome 16 (2009), / Harvested from The Electronic Library of Mathematics
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Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:117497 
@article{05576413,
     title = {The maximum size of a partial spread in },
     journal = {The Electronic Journal of Combinatorics [electronic only]},
     volume = {16},
     year = {2009},
     zbl = {1195.51007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/05576413}
}

Vanhove, Frédéric. The maximum size of a partial spread in . The Electronic Journal of Combinatorics [electronic only], Tome 16 (2009) . http://gdmltest.u-ga.fr/item/05576413/