| 环Fpm+uFpm上长为pk的循环码计数 |
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| 引用本文： | 朱士信,丁健.环Fpm+uFpm上长为pk的循环码计数[J].电子与信息学报,2010,32(9):2101-2105. |
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| 作者姓名： | 朱士信 丁健 |
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| 作者单位： | 合肥工业大学数学学院,合肥,230009 |
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| 基金项目： | 国家自然科学基金(60673074)资助课题 |
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| 摘 要： | 环R=Fpm+uFpm上长为pk的循环码可看作Rx]/＜xpk-1＞上的理想.该文通过对Rx]/＜xpk-1＞上理想的研究,得到了环Fpm+uFpm上长为的循环码的唯一表示方法和计数,并给出了该环上长为pk的循环自对偶码的结构和计数.
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| 关 键 词： | 循环码 自对偶码 零化子 |
| 收稿时间： | 2009-10-12 |
Mass Formulas for Cyclic Codes of Length pk over the Ring Fpm+uFpm |
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| Zhu Shi-xin,Ding Jian.Mass Formulas for Cyclic Codes of Length pk over the Ring Fpm+uFpm[J].Journal of Electronics & Information Technology,2010,32(9):2101-2105. |
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| Authors: | Zhu Shi-xin Ding Jian |
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| Affiliation: | School of Mathematics, Hefei Univercity of Technology, Hefei 230009, China |
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| Abstract: | Cyclic codes over the ring R=Fpm+uFpm can be seen as the ideals of Rx]/pk-1>. Based on the studing of ideals of Rx]/pk-1>, a unique method of representing cyclic codes of length pk and their mass formulas over the ring Fpm+uFpm are provided. For the cyclic self-dual codes of length pk over the ring Fpm+uFpm, their structures and mass formulas are given. |
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| Keywords: | Cyclic codes Self-dual codes Annihilator |
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