7 citations · 30 across the 25 of their papers we have counts for
26 papers
On equidistributed directions in finite affine planes
Sam Adriaensen, Bence Csajbók, Zsuzsa Weiner
We investigate a recently introduced generalisation of determined directions in affine planes. A direction in an affine plane is a point of the line at infinity in the projec…
Erdős-Ko-Rado properties of Steiner 2-designs
Sam Adriaensen, Sergey Goryainov, Elena V. Konstantinova +1
In this paper, we prove an Erdős-Ko-Rado characterisation of maximum intersecting families of blocks in Steiner -designs arising from Desarguesian maximal arcs. This answers a r…
On the weight distribution bound for the negative eigenvalue of polar collinearity graphs
Sam Adriaensen, Jim Wittebol
The weight distribution bound gives a lower bound on the weight of eigenvectors for eigenvalues of distance-regular graphs. In this note, we study when the weight distribution boun…
A sporadic strongly regular graph with parameters from a primitive action of the symmetric group on elements
Sam Adriaensen, Robert F. Bailey, Jan De Beule +1
There are up to isomorphism exactly three strongly regular graphs with parameters whose automorphism group acts primitively on the vertices. Two of these graphs be…
Hat guessing with proper colorings
Sam Adriaensen, Peter Bentley, Anurag Bishnoi +6
We initiate the study of the hat guessing number of a graph where the adversary is only allowed to provide a proper coloring of the graph. This is the largest number for which…
Skirting the -tuples
Sam Adriaensen, Ferdinand Ihringer, William J. Martin +1
Let and be given. The set is a metric space of diameter under the Hamming metric . We seek a smallest set t…
Even Sets and Dual Projective Geometric Codes: A Tale of Cylinders
Sam Adriaensen
In this paper, we prove that the smallest even sets in , i.e. sets that intersect every line in an even number of points, are cylinders with a hyperoval as base. Thi…
Intersection problems for linear codes and polynomials over finite fields
Sam Adriaensen
This paper proves a stability result for a variation of the Erdős-Ko-Rado theorem in the context of polynomials over finite fields. Let be a family of polynomials of d…
A note on short minimal codes from subgeometries
Sam Adriaensen, Peter Sziklai, Zsuzsa Weiner
In a 2022, Bartoli, Cossidente, Marino, and Pavese proved that in the projective space , one can find three -subgeometries such that the union of thei…
A note on the classification of classical distance-regular graphs of negative type and the non-existence of hemisystems
Sam Adriaensen, Jan De Beule, Jozefien D'haeseleer +1
DISCLAIMER: Due to an error in the literature, we cannot be sure that the conclusions drawn in this paper are correct. The goal of this note is to connect some interesting results…
Multisets with few special directions and small weight codewords in Desarguesian planes
Sam Adriaensen, Tamás Szőnyi, Zsuzsa Weiner
In this paper, we tie together two well studied topics related to finite Desarguesian affine and projective planes. The first topic concerns directions determined by a set, or even…
Points below a parabola in affine planes of prime order
Sam Adriaensen, Zsuzsa Weiner
The elements of a finite field of prime order canonically correspond to the integers in an interval. This induces an ordering on the elements of the field. Using this ordering, Kis…
The minimum weight of the code of intersecting lines in
Sam Adriaensen, Robin Simoens, Leo Storme
We characterise the minimum weight codewords of the -ary linear code of intersecting lines in , , , prime, . If is even, the mini…
Association schemes and orthogonality graphs on anisotropic points of polar spaces
Sam Adriaensen, Maarten De Boeck
In this paper, we study association schemes on the anisotropic points of classical polar spaces. Our main result concerns non-degenerate elliptic and hyperbolic quadrics in PG$(n,q…
Small weight codewords of projective geometric codes II
Sam Adriaensen, Lins Denaux
The -ary linear code is defined as the row space of the incidence matrix of -spaces and points of . It is known that if is squar…
On -ovoids of with odd
Sam Adriaensen, Jan De Beule, Giovanni Giuseppe Grimaldi +1
In this paper, we provide a construction of -ovoids of the hyperbolic quadric , an odd prime power, by glueing -ovoids of the elliptic quadric $Q^-(5,…
A note on small weight codewords of projective geometric codes and on the smallest sets of even type
Sam Adriaensen
In this paper, we study the codes arising from the incidence of points and -spaces in over the field , with , prim…
On the minimum size of linear sets
Sam Adriaensen, Paolo Santonastaso
Recently, a lower bound was established on the size of linear sets in projective spaces, that intersect a hyperplane in a canonical subgeometry. There are several constructions sho…
Incidence-free sets and edge domination in incidence graphs
Sam Spiro, Sam Adriaensen, Sam Mattheus
A set of edges of a graph is an edge dominating set if every edge of intersects at least one edge of , and the edge domination number is the smallest size o…
Cones from maximum -scattered linear sets and a stability result
Sam Adriaensen, Jonathan Mannaert, Paolo Santonastaso +1
This paper mainly focuses on cones whose basis is a maximum -scattered linear set. We start by investigating the intersection sizes of such cones with the hyperplanes. Then we a…
On additive MDS codes with linear projections
Sam Adriaensen, Simeon Ball
We support some evidence that a long additive MDS code over a finite field must be equivalent to a linear code. More precisely, let be an -linear $(n,q^{hk},n-k+1)…
Blocking subspaces with points and hyperplanes
Sam Adriaensen, Maarten De Boeck, Lins Denaux
In this paper, we characterise the smallest sets consisting of points and hyperplanes in , such that each -space is incident with at least one element of …
Stability of Erdős-Ko-Rado Theorems in Circle Geometries
Sam Adriaensen
Circle geometries are incidence structures that capture the geometry of circles on spheres, cones and hyperboloids in 3-dimensional space. In a previous paper, the author character…
Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields
Sam Adriaensen
In this paper we investigate Erdős-Ko-Rado theorems in ovoidal circle geometries. We prove that in Möbius planes of even order greater than 2, and ovoidal Laguerre planes of odd or…