Abelian and consta-Abelian polyadic codes over affine algebras with a finite commutative chain coefficient ring-Reference-Cited by-同舟云学术

Abelian and consta-Abelian polyadic codes over affine algebras with a finite commutative chain coefficient ring

Published:2024-03-15 Issue:4 Volume:16 Page:889-907
ISSN:1936-2447
Container-title:Cryptography and Communications
language:en
Short-container-title:Cryptogr. Commun.

Author:

Yılmazgüç Gülsüm Gözde,de la Cruz Javier,Martínez-Moro Edgar

Abstract

AbstractThis 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.

Funder

Agencia Española de Investigación

Fundación Banco de la República

TÜBİTAK

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s12095-024-00707-0.pdf

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