5 papers
On the dimension of the space generated by characteristic vectors of -Steiner systems
Qilong Li, Charlene Weiß, Yue Zhou
Fix a prime power and parameters , the corresponding Steiner system in the Grassmann scheme, or the -Steiner system, is a collection of $…
The linear programming optimum for packings in classical association schemes
Kai-Uwe Schmidt, Charlene Weiß
Association schemes are central objects in algebraic combinatorics, with the classical schemes lying at their core. These classical association schemes essentially consist of the H…
Nontrivial -designs in polar spaces exist for all
Charlene Weiß
A finite classical polar space of rank consists of the totally isotropic subspaces of a finite vector space over equipped with a nondegenerate form such that …
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…