Baer subplanes and blocking sets

Baer Subplanes, Ovals and Unitals

On multiple blocking sets in Galois planes

This article continues the study of multiple blocking sets in PG(2, q). In [3], using lacunary polynomials, it was proven that t-fold blocking sets of PG(2, q), q square, t < q1/4/2, of size smaller than t(q + 1) + cqq 2/3, with cq = 2 −1/3 when q is a power of 2 or 3 and cq = 1 otherwise, contain the union of t pairwise disjoint Baer subplanes when t ≥ 2, or a line or a Baer subplane when t = ...

A 35-set of type (2, 5) in PG(2, 9)

If z has order q* and n is of the form n =m+q, then either k= m(q*+q+ l), or k= (m+q)(q*-q+ 1). Obviously, in case m=O, K is a maximal arc. Moreover, if m = 1 and q is a prime power, then K is either a Baer subplane or a unital [lo]. Furthermore, m pairwise disjoint Baer subplanes of n always yield a set of type (m, m + q) and size m(q* + q + 1). In case rc is Desarguesian, such a set does exis...

Blocking and Double Blocking Sets in Finite Planes

In this paper, by using properties of Baer subplanes, we describe the construction of a minimal blocking set in the Hall plane of order q2 of size q2 + 2q + 2 admitting ∗This author has been supported as a postdoctoral fellow of the Research Foundation Flanders (Belgium) (FWO). †This author was supported by a Visiting Professor grant of the Special Research Fund Ghent University (BOF project nu...

Extensions of Baer and quasi-Baer modules