2022/12/29 by Gülsüm Gözde Yılmazgüç, Yılmazgüç, Gülsüm Gözde, Javier de la Cruz +3
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #Information Theory (cs.IT) #Rings, Modules, and Algebras #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2212.14438
openalex publication_date 2022/12/29 · openalex created_date 2023/01/06 · openalex updated_date 2026/07/28
In this paper, we define Abelian and consta-Abelian polyadic codes over rings defined as affine algebras over chain rings. For that aim, 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.