Patrick Felke

collaborators

2 papers

math.RA2022

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 $F_{p} [A_{1}, \dots, A_{t}]$ …

cs.IT2022

Classification of Planar Monomials Over Finite Fields of Small Order

Christof Beierle, Patrick Felke

For all finite fields of order up to $2^{30}$ , we computationally prove that there are no planar monomials besides the ones already known.