Yilmazguec, Guelsuem Gozdede la Cruz, JavierMartinez-Moro, Edgar2024-06-122024-06-1220241936-24471936-2455https://doi.org/10.1007/s12095-024-00707-0https://hdl.handle.net/20.500.14551/23213This 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.en10.1007/s12095-024-00707-0info:eu-repo/semantics/openAccessPolycyclic CodesConsta-Abelian CodesFinite Chain RingAffine AlgebrasMultivariable CodesResidue CodesArticleN/AWOS:0011839155000012-s2.0-85187916359Q1