On existence of primitive normal elements of rational form over finite fields of even characteristic

Himangshu Hazarika, Dhiren Kumar Basnet, Giorgos Kapetanakis

Let $q$ be an even prime power and $m\ge 2$ an integer. By ${\mathbb{F}}_q$, we denote the finite field of order $q$ and by ${\mathbb{F}}_{q^m}$ its extension degree $m$. In this paper…