4 problems

Let $\mathbb F_{q^n}/\mathbb F_q$ be a finite field extension. The extension possesses the MM property if it contains an element $a\in\mathbb F_{q^n}$ that is primitive and complet…

Let $q$ be a prime power and let $\mathbb{F}_q$ be a finite field. For each extension degree $n$, let $\mathbb{F}_{q^n}$ be the corresponding finite field, and let…

Hachenberger's equality conjecture. Equality holds in the lower bound

Hachenberger's lower-bound conjecture. For all pairs $(q,n)$,