Article ID Journal Published Year Pages File Type
4656491 Journal of Combinatorial Theory, Series A 2007 8 Pages PDF
Abstract

In this paper, we show that the largest maximal partial spreads of the hermitian variety H(5,q2) consist of q3+1 generators. Previously, it was only known that q4 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,q2) contains at least 2q+3 planes. Previously, only the lower bound q+1 was known.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics