On the dimension of the space generated by characteristic vectors of $q$-Steiner systems

Qilong Li, Charlene Weiß, Yue Zhou

Fix a prime power $q$ and parameters $1\le t\le k\le n$, the corresponding Steiner system in the Grassmann scheme, or the $q$-Steiner system, is a collection $\mathfrak{B}$ of $…