A note on constacyclic and skew constacyclic codes over the ring $\mathbb{Z}_{p} [u,v]/\langle u^2-u,v^2-v,uv-vu\rangle$

For odd prime $p$, this paper studies $(1+(p-2)u)$-constacyclic codes over the ring $R= \mathbb{Z}_{p} [u,v]/\langle u^2-u,v^2-v,uv-vu\rangle$. We show that the Gray images of $(1+(p-2)u)$-constacyclic codes over $R$ are cyclic and permutation equivalent to a quasi cyclic code over $\mathbb{Z}_{p}$....

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Bibliographic Details
Main Authors: Tushar Bag, Habibul Islam, Om Prakash, Ashish K. Upadhyay
Format: Article
Language:English
Published: Yildiz Technical University 2019-09-01
Series:Journal of Algebra Combinatorics Discrete Structures and Applications
Online Access:http://jm.jacodesmath.com/index.php/jacodesmath/article/view/233