114 citations · 174 across the 26 of their papers we have counts for
34 papers
Transitivity in finite general linear groups
Alena Ernst, Kai-Uwe Schmidt
It is known that the notion of a transitive subgroup of a permutation group extends naturally to subsets of . We consider subsets of the general linear group $\operatorname{…
Linear codes associated with the Desarguesian ovoids in
Tao Feng, Michael Kiermaier, Peixian Lin +1
The Desarguesian ovoids in the orthogonal polar space with even have first been introduced by Kantor by examining the -dimensional absolutely irreducible modular…
Intersection theorems for finite general linear groups
Alena Ernst, Kai-Uwe Schmidt
A subset of the general linear group is called -intersecting if for all , or equivalently and agre…
Packings and Steiner systems in polar spaces
Kai-Uwe Schmidt, Charlene Weiß
A finite classical polar space of rank consists of the totally isotropic subspaces of a finite vector space equipped with a nondegenerate form such that is the maximal dime…
Existence of small ordered orthogonal arrays
Kai-Uwe Schmidt, Charlene Weiß
We show that there exist ordered orthogonal arrays, whose sizes deviate from the Rao bound by a factor that is polynomial in the parameters of the ordered orthogonal array. The pro…
Highly nonlinear functions over finite fields
Kai-Uwe Schmidt
We consider a generalisation of a conjecture by Patterson and Wiedemann from 1983 on the Hamming distance of a function from to to the set of affine…