| 有限域上距离函数的性质及其在编码理论中的应用 |
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| 引用本文： | 高莹.有限域上距离函数的性质及其在编码理论中的应用[J].系统科学与数学,2005,25(3):257-263. |
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| 作者姓名： | 高莹 |
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| 作者单位： | 中科院数学与系统科学研究院,北京,100080 |
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| 摘 要： | 本文讨论了有限域上一般距离函数的三个重要性质,并得到了它们在编码理论中关于码的纠错能力、MacWilliams恒等式以及Plotkin界方面的应用.
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| 关 键 词： | 距离 连续性 MacWilliams恒等式 Plotkin界 |
| 修稿时间： | 2003年10月31 |
THE PROPERTIES OF DISTANCE FUNCTIONS OVER FINITE FIELDS AND THEIR APPLICATIONS IN CODING THEORY |
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| Gao Ying.THE PROPERTIES OF DISTANCE FUNCTIONS OVER FINITE FIELDS AND THEIR APPLICATIONS IN CODING THEORY[J].Journal of Systems Science and Mathematical Sciences,2005,25(3):257-263. |
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| Authors: | Gao Ying |
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| Institution: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | We discuss three important properties of general distance functions over finite fields and find the applications in coding theory about the ability of error-correcting, Mac Williams identity and the Plotkin bound respectively. |
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| Keywords: | Distance consecutivity MacWilliams identity Plotkin bound |
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