A primitive normal pair in a finite field with prescribed traces and norms

Kaustav Chatterjee, Hariom Sharma, Shailesh Kumar Tiwari

Given ${\mathbb{F}}_{p^t}$, a field with $p^t$ elements, where $p$ is a prime power, $t$ is a positive integer. Let $f(x)$ be a polynomial over ${\mathbb{F}}_{p^t}$ of degree $m$ wit…