Bounds and Equivalence of Skew Polycyclic Codes over Finite Fields

Hassan Ou-azzou, Anna-Lena Horlemann, Nuh Aydin

We study skew polycyclic codes over a finite field ${\mathbb{F}}_q$, associated with a skew polynomial $f(x)\in {\mathbb{F}}_q[x;\sigma ]$, where $\sigma$ is an automorphism of ${\mathbb{F}}_q$. W…