| 环F2+uF2循环码及其二元象 |
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| 引用本文： | 余海峰,朱士信. 环F2+uF2循环码及其二元象[J]. 合肥工业大学学报(自然科学版), 2006, 29(4): 496-499 |
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| 作者姓名： | 余海峰 朱士信 |
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| 作者单位： | 合肥学院,数理系,安徽,合肥,230022;合肥工业大学,理学院,安徽,合肥,230009 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 进一步研究了环F2 uF2上循环码的结构;通过定义该环上的Nechaev-Gray映射而得到了一类二元循环码;最后研究了该环上循环码与其剩余码以及挠码的关系。
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| 关 键 词： | 环F2+uF2 循环码 剩余码 挠码 Nechaev-Gray映射 |
| 文章编号： | 1003-5060(2006)04-0496-04 |
| 修稿时间： | 2005-05-09 |
Cyclic codes over F2 + uF2 and their binary images |
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| YU Hai-feng,ZHU Shi-xin. Cyclic codes over F2 + uF2 and their binary images[J]. Journal of Hefei University of Technology(Natural Science), 2006, 29(4): 496-499 |
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| Authors: | YU Hai-feng ZHU Shi-xin |
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| Abstract: | The structure of cyclic codes overF2 uF2is further studied in this paper.Based on the def-inition of the Nechaev-Gray map,a family of binary cyclic codes which are Nechaev-Gray images of cy-clic codes overF2 uF2is given.The relation between cyclic codes and their residue codes and that be-tween cyclic codes and their torsion codes are discussed. |
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| Keywords: | ringF2 uF2 cyclic code residue code torsion code Nechaev-Gray map |
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