Skip to main content
eScholarship
Open Access Publications from the University of California

Combinatorial Theory

Combinatorial Theory banner

Projective two-weight sets of Denniston type

Published Web Location

https://doi.org/10.5070/C65165013Creative Commons 'BY' version 4.0 license
Abstract

We construct two-weight sets in PG\((3n-1,q)\), \(n\geq2\) with the same weights as those that would arise from the blow-up of a maximal \(q\)-arc in PG\((2,q^n)\). The construction is of particular interest when \(q\) is odd, as it is well known that no maximal arcs in PG\((2,q^n)\) exist in that case.

Mathematics Subject Classifications: 51E20, 05B25

Keywords: Projective two-weight set, maximal arc

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View