On small blocking sets and their linearity

: We prove that a small blocking set of PG(2, q) is "very close" to be a linear blocking set over some subfield GF(pe) < GF(q). This implies that (i) a similar result holds in PG(n, q) for small blocking sets with respect to k-dimensional subspaces (0 k n) and (ii) most of the intervals in the interval-theorems of Szonyi and Szonyi-Weiner are empty.

• Type: Journal
• Year: 2008
• Where: JCT
• Authors: Péter Sziklai
• Keywords: Blocking Sets, JCT 2008, K-dimensional Subspaces, Small Blocking Sets