6 papers
Weak arcs and applications to the DNA-based storage access problem
Geertrui Van de Voorde, Ferdinando Zullo
Weak arcs are point sets in PG meeting every general hyperplane (those are the hyperplanes not going through one of the points given by the standard basis vectors) in at m…
Intersection numbers of the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3)
Sebastian Petit, Geertrui Van de Voorde
In this paper, we study and characterise the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3). We begin by describing the possible intersections of subspaces…
On the weight distribution of linear sets with complementary weights and related constructions
Geertrui Van de Voorde, Ferdinando Zullo
In this paper, we continue the study of linear sets with complementary weights. We find criteria to determine the set of points of any fixed weight and use this to present particul…
A Completion Result for Partial Affine and Inversive Spaces
Cassie Grace, Klaus Metsch, Geertrui Van de Voorde
A partial affine plane of order is a point-line incidence structure with points and points on each line, such that every two lines meet in at most one point. In this…
Subsets of P^4 with no four points on a plane
Geertrui Van de Voorde, José Felipe Voloch
We describe a new construction of a subset of P^4 with no four points on a plane over any finite field of order q in which 3 is not a square. This set has size 2q + 1, is maximal w…
On the Hermitian Veronesean
John Bamberg, Geertrui Van de Voorde
The Hermitian Veronesean in , given by , is a well-studied rational curve, and forms a {\em specia…