Small maximal partial t-spreads in PG(2t+1, q)

Abstract

A maximal partial t-spread in a projective space is a set of t-spaces which are pairwise disjoint, such that this set is non-extendable with respect to this condition. In this article we prove a lower bound on the size of a maximal partial t-spread in the projective space PG. (2. t+. 1, q) by using the method due to Glynn for t=. 1. We also find a lower bound on the size of a maximal partial t-spread containing a small blocking set.

Publication Title

European Journal of Combinatorics

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