| F_q+vF_q+v~2F_q上的斜常循环码 |
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| 引用本文： | 宋贤梅,曹杨.F_q+vF_q+v~2F_q上的斜常循环码[J].吉林大学学报(理学版),2017,55(2):205-210. |
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| 作者姓名： | 宋贤梅 曹杨 |
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| 作者单位： | 安徽师范大学 数学计算机科学学院, 安徽 芜湖 241003 |
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| 摘 要： | 考虑一类环R=F_q+vF_q+v~2F_q(其中:q=p~m,p是素数;v~3=v)上的斜常循环码.根据环的结构得到了R上斜常循环码的生成多项式是x~n-λ的右因子(λ是一个单位),且斜常循环码是由主理想生成的;当λ~2=1时,给出线性码的对偶码是斜常循环码的充要条件,并讨论对偶码的生成多项式形式.
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| 关 键 词： | 斜常循环码 对偶码 Euclid内积 |
| 收稿时间： | 2016-04-21 |
Skew Constacyclic Codes over Fq+vFq+v2Fq |
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| SONG Xianmei,CAO Yang.Skew Constacyclic Codes over Fq+vFq+v2Fq[J].Journal of Jilin University: Sci Ed,2017,55(2):205-210. |
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| Authors: | SONG Xianmei CAO Yang |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, Anhui Province, China |
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| Abstract: | We considered skew constacyclic codes overthe 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 generatingpolynomial of skew constacyclic codes over R was the right divisor of xn-λ, where λ was a unit element and proved that skew constacyclic codes were generated by the principal ideal, when λ2=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. |
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| Keywords: | Euclidean inner product skew constacyclic code dual code |
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