吉林大学学报（理学版）2017，Vol.55Issue(2)：205-210,6.DOI:10.13413/j.cnki.jdxblxb.2017.02.04
Fq+vFq+v2Fq上的斜常循环码
Skew Constacyclic Codes over Fq+vFq+v2Fq
摘要
Abstract
We considered skew constacyclic codes over the ring R=Fq+vFq+v2Fq,where q=pm, p was an odd prime and v3=v.According to the structure of the ring,we obtained the generating polynomial of skew constacyclic codes over R was the right divisor of xn-λ,whereλwas a unit element and proved that skew constacyclic codes were generated by the principal ideal,whenλ2=1 , we gave the necessary and sufficient condition for the dual code of a liner code to be skew constacyclic code,and discussed generating polynomials of the dual codes.关键词
斜常循环码/对偶码/Euclid内积Key words
skew constacyclic code/dual code/Euclidean inner product分类
数理科学引用本文复制引用
宋贤梅,曹杨..Fq+vFq+v2Fq上的斜常循环码[J].吉林大学学报（理学版）,2017,55(2):205-210,6.基金项目
国家自然科学基金(批准号:11401009)和安徽省教育厅重点研究项目(批准号:1408085QA01). （批准号:11401009）
