The maximum size of a partial spread in H(5, q2) is q3+1

@article{Beule2007TheMS,
  title={The maximum size of a partial spread in H(5, q2) is q3+1},
  author={Jan De Beule and Klaus Metsch},
  journal={J. Comb. Theory, Ser. A},
  year={2007},
  volume={114},
  pages={761-768}
}
In this paper, we show that the largest maximal partial spreads of the hermitian variety H(5, q2) consist of q3 + 1 generators. Previously, it was only known that q4 is an upper bound for the size of these partial spreads. We also show for q 7 that every maximal partial spread of H(5, q2) contains at least 2q + 3 planes. Previously, only the lower bound q + 1 was known. © 2006 Elsevier Inc. All rights reserved. 

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