ZpZps［ξ］-线性斜常循环码

吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (3): 527-534.

Z_pZ_ps［ξ］-线性斜常循环码

宋贤梅, 刘玮, 陈法龙

安徽师范大学数学与统计学院, 安徽芜湖 241002

收稿日期:2019-07-22 出版日期:2020-05-26 发布日期:2020-05-20
通讯作者: 宋贤梅 E-mail:xianmeisongahnu@163.com

Z_pZ_ps［ξ］-Linear Skew Constacyclic Codes

SONG Xianmei, LIU Wei, CHEN Falong

College of Mathematics and Statistics, Anhui Normal University, Wuhu 241002, Anhui Province, China

Received:2019-07-22 Online:2020-05-26 Published:2020-05-20
Contact: SONG Xianmei E-mail:xianmeisongahnu@163.com

摘要/Abstract

摘要： 定义并研究Z_pZ_ps［ξ］-的一类线性子模, 即Z_pZ_ps［ξ］上的线性斜常循环码, 其中Z_pZ_ps［ξ］和Z_p［ξ］是Galois环, p是素数. 首先讨论Z_pZ_ps［ξ］线性码的生成矩阵; 其次通过对Z_ps［ξ］上斜常循环码生成多项式的讨论, 给出Z_pZ_ps［ξ］上斜常循环码的生成集, 并举例说明.

关键词: 生成矩阵, Galois环, 斜常循环码

Abstract: We define and study a class of submodule of Z_pZ_ps［ξ］, that is the skew constacyclic code over Z_pZ_ps［ξ］, where Z_ps［ξ］ and Z_p［ξ］are Galois rings. Firstly, we discuss the generator matrix of Z_pZ_ps［ξ］ linear code. Secondly, we give the generating polynomial set of skew constacyclic code over Z_pZ_ps［ξ］ by discussing the generating polynomial of skew constacyclic code over Z_ps［ξ］. Finally, we give one example.

Key words: generator matrix, Galois ring, skew constacyclic code

中图分类号:

宋贤梅, 刘玮, 陈法龙. Z_pZ_ps［ξ］-线性斜常循环码[J]. 吉林大学学报(理学版), 2020, 58(3): 527-534.

SONG Xianmei, LIU Wei, CHEN Falong. Z_pZ_ps［ξ］-Linear Skew Constacyclic Codes[J]. Journal of Jilin University Science Edition, 2020, 58(3): 527-534.