A spectrum result on maximal partial ovoids of the generalized quadrangle , even |
| |
Authors: | C Rßing L Storme |
| |
Institution: | aSchool of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland;bGhent University, Department of Pure Mathematics and Computer Algebra, Krijgslaan 281-S22, 9000 Ghent, Belgium |
| |
Abstract: | This article presents a spectrum result on maximal partial ovoids of the generalized quadrangle Q(4,q), q even. We prove that for every integer k in an interval of, roughly, size q2/10,9q2/10], there exists a maximal partial ovoid of size k on Q(4,q), q even. Since the generalized quadrangle W(q), q even, defined by a symplectic polarity of PG(3,q) is isomorphic to the generalized quadrangle Q(4,q), q even, the same result is obtained for maximal partial ovoids of W(q), q even. As equivalent results, the same spectrum result is obtained for minimal blocking sets with respect to planes of PG(3,q), q even, and for maximal partial 1-systems of lines on the Klein quadric Q+(5,q), q even. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|