Publications
Embedded antipodal planes and the minimum weight of the dual code of points and lines in projective planes of order p^2 Ghent University
Blocking subspaces with points and hyperplanes Ghent University
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. If k > n-1 /2 , then the smallest construction consists only of points. Dually, if k < n-1/ 2 , the smallest example consists only of hyperplanes. However, if k = n-1/ 2 , then there exist sets containing both points and hyperplanes, which are smaller than any blocking set ...
Cospectral mates for generalized Johnson and Grassmann graphs Ghent University
We provide three infinite families of graphs in the Johnson and Grassmann schemes that are not uniquely determined by their spectrum. We do so by constructing graphs that are cospectral but non-isomorphic to these graphs.
On the chromatic number of two generalized Kneser graphs Ghent University
Maximal sets of k-spaces pairwise intersecting in at least a (k-2)-space Ghent University
In this paper, we analyze the structure of maximal sets of k-dimensional spaces in PG(n, q) pairwise intersecting in at least a (k - 2)-dimensional space, for 3 <= k <= n - 2. We give an overview of the largest examples of these sets with size more than f(k, q) = max{3q(4) + 6q(3) + 5q(2) + q + 1,theta(k+1) + q(4) + 2q(3) + 3q(2)}.
Cameron-Liebler sets of k-spaces in PG(n, q) (vol 87, pg 1839, 2019) Ghent University
The weight distributions of linear sets in PG(1,q5) Ghent University
On the sunflower bound for k-spaces, pairwise intersecting in a point Ghent University
A t-intersecting constant dimension subspace code C is a set of k-dimensional subspaces in a projective space PG(n, q), where distinct subspaces intersect in exactly a t-dimensional subspace. A classical example of such a code is the sunflower, where all subspaces pass through the same t-space. The sunflower bound states that such a code is a sunflower if vertical bar C vertical bar > (q(k+1) - q(t+1)/q-1)(2) + (q(k+1)-q(t+1)/q-1) + 1. In ...