On Skew Polycyclic Codes over Z_(4)[u]/u^(2)-2  

作　　者：Wei QI Xiaolei ZHANG 

机构地区：[1]School of Mathematics and Statistics,Shandong University of Technology,Shandong 255000,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第2期241-252,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.12201361)。

摘　　要：In this paper,we investigate some classes of skew polycyclic codes and polycyclic codes over R=Z_(4)[u]/.We first obtain the generator polynomials of all(1,2u)-polycyclic codes over R.Then,by defining some Gray maps,we show that the images of(skew)(1,2u)-polycyclic codes over R are cyclic or quasi-cyclic with index 2 over Z_(4).Finally,an example of some(1,2u)-polycyclic codes over R is given to exhibit the main results of the paper.

关 键 词：skew polycyclic code polycyclic code cyclic code generator polynomial Gray map 

分 类 号：O15[理学—数学]