Partial ovoids and partial spreads in symplectic and orthogonal polar spaces

被引：4
|
作者：
De Beule, J. [1 ]
Klein, A. [1 ]
Metsch, K. [2 ]
Storme, L. [1 ]
机构：
[1] Univ Ghent, Dept Pure Math & Comp Algebra, B-9000 Ghent, Belgium
[2] Univ Giessen, Math Inst, D-35392 Giessen, Germany
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2008年 / 29卷 / 05期
关键词：
D O I：
10.1016/j.ejc.2007.06.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 [J. De Beule, A. Klein, K. Metsch, L. Storme, Partial ovoids and partial spreads in hermitian polar spaces, Des. Codes Cryptogr. (in press)]. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1280 / 1297
页数：18
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