On MPS construction of blocking sets in projective spaces: a generalization

TL;DR

This paper generalizes the MPS construction method for blocking sets in projective spaces, leading to new examples such as a non-planar blocking set in PG(3,q^6).

Contribution

It introduces a broader construction technique for blocking sets using subspaces of various dimensions, expanding the known configurations.

Findings

New non-planar blocking set in PG(3,q^6)

Generalization of MPS construction method

Broader class of blocking sets identified

Abstract

In this paper we provide a generalization of the MPS construction of blocking sets of $PG(r,q^n)$ using subspaces of dimension $s\leq n-2$. By this construction, we determine a new non-planar example in $PG(3,q^6)$.