环Z4+uZ4+u^2Z4上的负循环码  

Negacyclic Codes over Z4+uZ4+u^2Z4

作　　者：王艳萍 李杰[1] WANG Yan-ping;LI Jie(School of Mathematics and Statistics,Suzhou University,Suzhou 234000,Anhui,China)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《兰州文理学院学报（自然科学版）》2020年第3期14-17,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：安徽省专业建设项目(2012zy146);安徽省高校自然科学研究重点项目(KJ2019A0666);宿州学院重点科研项目(2016yzd06,2017yzd16);宿州学院教学研究项目(2017jy01);宿州学院横向项目(2019xhx031);省级大学生创新训练项目(201810379096)。

摘　　要：研究了环Z4+uZ4+u^2Z4,其中u 3=0.根据环Z4+uZ4上负循环码的结构,研究了环上Z4+uZ4+u^2Z4长度为2^k的负循环码.利用环同态,给出了环Z4+uZ4+u^2Z4上长度为2^k的负循环码的结构.In this paper,the ring Z4+uZ4+u^2Z4 was studied,where u^3=0.According to the structure of negacyclic codes over ring Z4+uZ4,the negacyclic codes over the ring Z4+uZ4+u^2Z4 of length 2^k were given.Based on ring homomorphism,the structure of negacyclic codes over ring Z4+uZ4+u^2Z4 were studied.

关 键 词：环同态 负循环码 理想 

分 类 号：O157.4[理学—数学]