Abelian and consta-Abelian polyadic codes over affine algebras with a finite commutative chain coefficient ring
Gülsüm Gözde Yılmazgüç, Javier de la Cruz, Edgar Martı́nez-Moro · Cryptography and Communications · 2024
Abstract This paper studies Abelian and consta-Abelian polyadic codes over rings defined as affine algebras over chain rings. For this purpose, we use the classical construction via splittings and multipliers of the underlying Abelian group. We also derive some results on the structure of the associated polyadic codes and the number of codes under these conditions.