Further factorization of $x^n-1$ over a finite field

Yansheng Wu, Qin Yue, Shuqin Fan

Let ${\mathbb{F}}_q$ be a finite field with $q$ elements and $n$ a positive integer. Martínez, Vergara and Oliveira \cite{MVO} explicitly factorized $x^n-1$ over ${\mathbb{F}}_q$ under the…