Dualities of dihedral and generalised quaternion codes and applications to quantum codes

Miguel Sales-Cabrera, Xaro Soler-Escrivà, Víctor Sotomayor

Let ${\mathbb{F}}_q$ be a finite field of $q$ elements, for some prime power $q$, and let $G$ be a finite group. A (left) group code, or simply a $G$-code, is a (left) ideal of the g…