论文标题

Abelian和Consta-Abelian多核代码在仿射代数上具有有限的交换链系数环

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

论文作者

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

论文摘要

在本文中,我们将Abelian和Consta-Abelian多地形代码定义为定义为链环上的仿射代数的环。为此,我们通过基础阿贝尔群体的分裂和乘数来使用经典的构造。我们还取得了有关相关的多核代码结构以及在这些条件下的代码数量的一些结果。

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.

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