In this article, we study skew -constacyclic codes over  where  and define some new Gray maps from  to  and  It is shown that the Gray images of skew -constacyclic codes over  are cyclic over  of length 2n, and are quasi-cyclic and permutation equivalent to quasi-cyclic codes over of length 4n.

cyclic code, constacyclic code, quasi-cyclic code, Gray map.

Received: January 2, 2023; Accepted: February 4, 2023; Published: March 28, 2023

How to cite this article: Wei Qi and Xiaolei Zhang, A study of skew constacyclic codes over , JP Journal of Algebra, Number Theory and Applications 61(1) (2023), 19-36. http://dx.doi.org/10.17654/0972555523009

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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