Cyclic and constacyclic codes over a non-chain ring

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Aysegul Bayram¹  Irfan Siap¹ 

[1] Yildiz Technical University, Faculty of Arts and Science, Department of Mathematics

关键词: Non-chain rings;    Linear codes;    Cyclic codes;    Constacycllic codes;    MacWilliams type identity;   

DOI  :  10.13069/jacodesmath.31486

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

In this study, we consider linear and especially cyclic codes over the non-chain ring Zp[v]/hvp − viwhere p is a prime. This is a generalization of the case p = 3. Further, in this work the structure ofconstacyclic codes are studied as well. This study takes advantage mainly from a Gray map whichpreserves the distance between codes over this ring and p-ary codes and moreover this map enlightensthe structure of these codes. Furthermore, a MacWilliams type identity is presented together withsome illustrative examples.

【 授权许可】

CC BY