Geertrui Van de Voorde

activity

20152025

collaborators

6 papers

math.CO2025

On certain blocking sets and the minimum weight of the code of generalised polygons

Sebastian Petit, Geertrui Van de Voorde

In this paper, we study and characterise certain blocking sets in generalised polygons. This will allow us to derive new results about the minimum weight and minimum weight code wo…

math.CO2022

On the Equivalence, Stabilisers, and Feet of Buekenhout-Tits Unitals

Jake Faulkner, Geertrui Van de Voorde

This paper addresses a number of problems concerning Buekenhout-Tits unitals in $P G (2, q^{2})$ , where $q = 2^{e + 1}$ and $e \geq 1$ . We show that all Buekenhout-Tits unitals are $P G L$ -…

math.CO2021

The geometric field of linearity of linear sets

Dibyayoti Jena, Geertrui Van de Voorde

If an Fq-linear set LU in a projective space is defined by a vector subspace U which is linear over a proper superfield of Fq, then all of its points have weight at least 2. It is…

math.CO2019

On the product of elements with prescribed trace

John Sheekey, José Felipe Voloch, Geertrui Van de Voorde

This paper deals with the following problem. Given a finite extension of fields $L / K$ and denoting the trace map from $L$ to $K$ by $\mathrm{Tr}…

math.CO2018

Rank-metric codes, linear sets, and their duality

John Sheekey, Geertrui Van de Voorde

In this paper we investigate connections between linear sets and subspaces of linear maps. We give a geometric interpretation of the results of [18, Section 5] on linear sets on a…

math.CO2015

Unitals with many Baer secants through a fixed point

Sara Rottey, Geertrui Van de Voorde

We show that a unital $U$ in $PG (2, q^{2})$ containing a point $P$ , such that at least $q^{2} - ε$ of the secant lines through $P$ intersect $U$ in a Baer subline, is an ovoidal…