The maximum size of a partial spread in H(5, q2) is q3+1

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:114

Article

De Beule, J. ; Metsch, K.

关键词: spread;    polar space;    hermitian variety;   

DOI  :  10.1016/j.jcta.2006.08.005

来源: Elsevier

【 摘 要 】

In this paper, we show that the largest maximal partial spreads of the hermitian variety H(5, q(2)) consist of q(3) + 1 generators. Previously, it was only known that q(4) is an upper bound for the size of these partial spreads. We also show for q >= 7 that every maximal partial spread of H(5, q(2)) contains at least 2q + 3 planes. Previously, only the lower bound q + 1 was known. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free