Codes over $\mathbb{Z}_{p}[u]/{\langle u^r \rangle}\times\mathbb{Z}_{p}[u]/{\langle u^s \rangle}$

{In this paper we generalize $\mathbb{Z}_{2}\mathbb{Z}_{2}[u]$-linear codes to codes over $\mathbb{Z}_{p}[u]/{\langle u^r \rangle}\times\mathbb{Z}_{p}[u]/{\langle u^s \rangle}$ where $p$ is a prime number and $u^r=0=u^s$. We will call these family of codes as $\mathbb{Z}_{p}[u^r,u^s]$-linear codes w...

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Bibliographic Details
Main Author: Ismail Aydogdu
Format: Article
Language:English
Published: Yildiz Technical University 2019-01-01
Series:Journal of Algebra Combinatorics Discrete Structures and Applications
Online Access:http://jacodesmath.com/index.php/jacodesmath/article/view/127