$m$-adic residue codes over ${\mathbb{F}}_q[v]/(v^s-v)$ and their application to quantum codes

Ferhat Kuruz, Mustafa Sarı, Mehmet E. Koroglu

Due to their rich algebraic structure, cyclic codes have a great deal of significance amongst linear codes. Duadic codes are the generalization of the quadratic residue codes, a sp…