Projective two-weight sets of Denniston type
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, 05B25Keywords: Projective two-weight set, maximal arc
Authors
- Stefaan De Winter (ORCID: https://orcid.org/0000-0003-2414-1046)
Publication Details
- Journal
- Combinatorial Theory
- Published
- 2025-03-14
- DOI
- https://doi.org/10.5070/c65165013
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation