The minimum size of a linear set

DOI10.1016/j.jcta.2018.12.008zbMath1411.51004arXiv1804.07388OpenAlexW2964307994WikidataQ128627035 ScholiaQ128627035MaRDI QIDQ1734707

Geertrui Van de Voorde, Jan De Beule

Publication date: 27 March 2019

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07388

zbMATH Keywords

linear setdirections determined by a point setlinearised polynomial

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items

\(r\)-fat linearized polynomials over finite fields ⋮ Linear sets on the projective line with complementary weights ⋮ Classifications and constructions of minimum size linear sets on the projective line ⋮ Two pointsets in \(\mathrm{PG}(2,q^n)\) and the associated codes ⋮ On linear sets of minimum size ⋮ The geometric field of linearity of linear sets

Cites Work

• Unnamed Item
• Linear sets in finite projective spaces
• On small blocking sets and their linearity
• On the number of slopes of the graph of a function defined on a finite field
• The number of directions determined by a function over a finite field.
• The number of directions determined by less than \(q\) points
• \(\mathbb F _q\)-linear blocking sets in \(PG(2,q^4)\)
• On linear sets on a projective line