Affiliation:
1. Ghent University, Dept. of Pure Mathematics and Computer Algebra, Krijgslaan 281-S22, 9000 Ghent, Belgium. Email:
2. Universität Gießen, Mathematisches Institut, Arndtstraße 2, 35392 Gießen, Germany. Email:
Abstract
Abstract
We prove lower bounds on the size of small maximal partial spreads in Q
+(4n + 1, q), W(2n + 1, q), and H(2n + 1, q
2). This research on the size of smallest maximal partial spreads in classical finite polar spaces is part of a detailed study on small and large maximal partial ovoids and spreads in classical finite polar spaces, performed in [De Beule, Klein, Metsch, Storme, Des. Codes Cryptogr 47: 21–34, 2008, De Beule, Klein, Metsch, Storme, European J. Combin 29: 1280–1297, 2008].
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