Lins Denaux

activity

20192023

most citedHiggledy-piggledy sets in projective spaces of small dimension

5 citations · 10 across the 6 of their papers we have counts for

collaborators

9 papers

math.CO2023★ 2 cited

Small weight codewords of projective geometric codes II

Sam Adriaensen, Lins Denaux

The $p$ -ary linear code $C_{k} (n, q)$ is defined as the row space of the incidence matrix $A$ of $k$ -spaces and points of $PG (n, q)$ . It is known that if $q$ is squar…

math.CO2022

A higgledy-piggledy set of planes based on the ABB-representation of linear sets

Lins Denaux, Jozefien D'haeseleer, Geertrui Van de Voorde

In this paper, we investigate the André/Bruck-Bose representation of certain $F_{q}$ -linear sets contained in a line of $PG (2, q^{t})$ . We show that scattered $\mathbb{F…

math.CO2022

Blocking subspaces with points and hyperplanes

Sam Adriaensen, Maarten De Boeck, Lins Denaux

In this paper, we characterise the smallest sets $B$ consisting of points and hyperplanes in $PG (n, q)$ , such that each $k$ -space is incident with at least one element of $B$ …

math.CO2021

Two disguises of the linear representation of a subgeometry

Lins Denaux

Let $PG (n, q)$ be the Desarguesian projective space of dimension $n$ over the finite field of order $q$ . The \emph{linear representation} of a point set $K$ in a hy…

math.CO2021★ 5 cited

Higgledy-piggledy sets in projective spaces of small dimension

Lins Denaux

This work focuses on higgledy-piggledy sets of $k$ -subspaces in $PG (N, q)$ , i.e. sets of projective subspaces that are 'well-spread-out'. More precisely, the set of intersect…

math.CO2021★ 3 cited

Minimal codewords arising from the incidence of points and hyperplanes in projective spaces

Daniele Bartoli, Lins Denaux

Over the past few years, the codes $C_{n - 1} (n, q)$ arising from the incidence of points and hyperplanes in the projective space $PG (n, q)$ attracted a lot of attenti…