On Two-Intersection Sets with Respect to Hyperplanes in Projective Spaces

In [2] a construction of a class of two-intersection sets with respect to hyperplanes in PG(r - 1, qt ), rt even, is given, with the same parameters as the union of (qt/2 - 1)/(q - 1) disjoint Baer subgeometries if t is even and the union of (qt - 1)/(q - 1) elements of an (r/2 - 1)-spread in PG(r - 1, qt ) if t is odd. In this paper we prove that although they have the same parameters, they are different. This was previously proved in [1] in the special case where r = 3 and t = 4.

• Type: Journal
• Year: 2002
• Where: JCT
• Authors: Aart Blokhuis, Michel Lavrauw
• Keywords: Hyperplanes, JCT 2002, Parameters, Two-intersection Sets