Existence of Primitive Normal Pairs with One Prescribed Trace over Finite Fields

Hariom Sharma, R. K. Sharma

Given $m,n,q\in \mathbb{N}$ such that $q$ is a prime power and $m\ge 3$, $a\in {\mathbb{F}}_q$, we establish a sufficient condition for the existence of primitive pair $(\alpha ,f(\alpha ))$…