具有有限交换链系数环的仿射代数上的阿贝尔和常阿贝尔多义码

Cryptography and Communications Pub Date : 2024-03-15 DOI:10.1007/s12095-024-00707-0

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

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摘要

本文研究定义为链环上仿射代数的环上阿贝尔和常阿贝尔多义码。为此，我们使用了通过底层阿贝尔群的分裂和乘数的经典构造。我们还推导出了一些关于相关多子编码结构和这些条件下编码数量的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Cryptography and Communications

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