$r$-primitive $k$-normal polynomials over finite fields with last two coefficients prescribed

K. Chatterjee, R. K. Sharma, S. K. Tiwari

Let $\xi \in {\mathbb{F}}_{q^m}$ be an $r$-primitive $k$-normal element over ${\mathbb{F}}_q$, where $q$ is a prime power and $m$ is a positive integer. The minimal polynomial of $\xi$ is re…