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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, q2). 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].
Received: 2008-01-11
Published Online: 2010-07-08
Published in Print: 2010-July
© de Gruyter 2010
