Forbidden Intersection Theorems for Matrix Spaces

Esty Kelman, Nathan Lindzey, Ohad Sheinfeld

A family of $m\times n$ matrices $\mathcal{F}\subseteq {\mathbb{F}}_q^{m\times n}$ is {$(t-1)$-intersection-free} if $\dim \ker (A-B)\ne t-1$ for all $A,B\in \mathcal{F}$. A \em…