| 环F_2+uF_2上长度为2n(n为奇数)的循环码 |
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| 引用本文： | 王冬银.环F_2+uF_2上长度为2n(n为奇数)的循环码[J].大学数学,2009,25(4). |
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| 作者姓名： | 王冬银 |
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| 作者单位： | 巢湖学院,数学系,安徽,巢湖,238000;合肥工业大学,数学系,安徽,合肥,230009 |
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| 基金项目： | 巢湖学院科学研究基金资助项目 |
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| 摘 要： | 研究了环F2+uF2上长度为2n(n为奇数)的循环码,给出了循环码及其对偶码的生成多项式,以及循环码为自对偶码的充要条件,最后进一步给出了循环码极小Lee重量的一些相关结论
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| 关 键 词： | 环F2+uF2 循环码 离散傅立叶变换 极小Lee重量 |
Cyclic Codes over F2+uF2 of Length 2n |
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| WANG Dong-yin.Cyclic Codes over F2+uF2 of Length 2n[J].College Mathematics,2009,25(4). |
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| Authors: | WANG Dong-yin |
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| Abstract: | We investigate cyclic codes of oddly even length over the ring F2+uF2.The generator polynomial of cyclic codes as well as that of their dual are completely obtained.We also give the necessary and sufficient conditions that cyclic codes are the self-dual codes.And some results about the minimum Lee weights of these codes are included. |
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| Keywords: | F2+uF2-ring cyclic codes the discrete Fourier transform minimum Lee-weight |
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