The maximum size of a partial spread in H ( 5 , q 2 ) is q 3 + 1

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of combinatorial theory. Series A 2007-05, Vol.114 (4), p.761-768
Main Authors: De Beule, J., Metsch, K.
Format: Article
Language:English
Subjects:
Hermitian variety
Polar space
Spread
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 2 q + 3 planes. Previously, only the lower bound q + 1 was known.
ISSN:0097-3165
1096-0899
DOI:10.1016/j.jcta.2006.08.005