Optimal plane curves of degree $q-1$ over a finite field

Walteir de Paula Ferreira, Pietro Speziali

Let $q\ge 5$ be a prime power. In this note, we prove that if a plane curve $\mathcal{X}$ of degree $q-1$ defined over ${\mathbb{F}}_q$ without ${\mathbb{F}}_q$-linear components at…