On Matrix Algebras Isomorphic to Finite Fields and Planar Dembowski-Ostrom Monomials

Christof Beierle, Patrick Felke

Let $p$ be a prime and $n$ a positive integer. As the first main result, we present a deterministic algorithm for deciding whether the matrix algebra ${\mathbb{F}}_p[A_1,\dots ,A_t]$…