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DCC
2008
IEEE

Partial ovoids and partial spreads in hermitian polar spaces

9 years 2 months ago
Partial ovoids and partial spreads in hermitian polar spaces
We present improved lower bounds on the sizes of small maximal partial ovoids in the classical hermitian polar spaces, and improved upper bounds on the sizes of large maximal partial spreads in the classical hermitian polar spaces. Of particular importance is the presented upper bound on the size of a maximal partial spread of H(3, q2). For q = 2, 3, the presented upper bound is sharp. For q = 3, our results confirm via theoretical arguments properties, deduced by computer searches performed by Ebert and Hirschfeld, for the largest partial spreads of H(3, 9). An overview of the status regarding these results is given in two summarizing tables. The similar results for the classical symplectic and orthogonal polar spaces are presented in [7].
Jan De Beule, Andreas Klein, Klaus Metsch, Leo Sto
Added 25 Dec 2009
Updated 25 Dec 2009
Type Conference
Year 2008
Where DCC
Authors Jan De Beule, Andreas Klein, Klaus Metsch, Leo Storme
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