✦ LIBER ✦
On Two-Intersection Sets with Respect to Hyperplanes in Projective Spaces
✍ Scribed by Aart Blokhuis; Michel Lavrauw
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 93 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
In [Blokhuis and Lavrauw (Geom. Dedicata 81 (2000), 231-243)] a construction of a class of two-intersection sets with respect to hyperplanes in PGðr À 1; q t Þ; rt even, is given, with the same parameters as the union of ðq t=2 À 1Þ=ðq À 1Þ disjoint Baer subgeometries if t is even and the union of ðq t À 1Þ=ðq À 1Þ elements of an ðr=2 À 1Þ-spread in PGðr À 1; q t Þ if t is odd. In this paper, we prove that although they have the same parameters, they are different. This was previously proved in [Ball et al. (Finite Fields Appl. 6 (2000), 294-301