Partial ovoids and partial spreads in symplectic and orthogonal polar spaces

We present improved lower bounds on the sizes of small maximal partial ovoids and small maximal partial spreads in the classical symplectic and orthogonal polar spaces, and improved upper bounds on the sizes of large maximal partial ovoids and large maximal partial spreads in the classical symplectic and orthogonal polar spaces. An overview of the status regarding these results is given in tables. The similar results for the hermitian classical polar spaces are presented in [10].

• Type: Journal
• Year: 2008
• Where: EJC
• Authors: Jan De Beule, Andreas Klein, Klaus Metsch, Leo Storme
• Keywords: EJC 2007, EJC 2008, Information Technology, Maximal Partial Ovoids, Maximal Partial Spreads, Orthogonal Polar Spaces