| THE HAMMING DISTANCES OF NEGACYCLIC CODES OF LENGTH 2^s OVER GR （2^α, m） |
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| 作者姓名： | Shixin ZHU Xiaoshan KAI |
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| 作者单位： | Department of Applied Mathematics, Hefei University of Technology, Hefei 230009, China. |
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| 基金项目： | The research is supported by the National Natural Science Foundation of China under Grant No. 60673074. |
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| 摘 要： | The Hamming distances of all negacyclic codes of length 28 over the Gaiois ring GR （2^α, m） are given. In particular, the Lee distances of all negacyclic codes over Z4 of length 2^s are obtained. The Gray images of such negacyclic codes over Z4 are also determined under the Gray map.
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| 关 键 词： | 加重平衡 节点 地图 测量技术 |
| 收稿时间： | 08 January 2007 |
The Hamming Distances of Negacyclic Codes of Length 2 s over GR (2 a , m ) |
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| Shixin ZHU Xiaoshan KAI.The Hamming Distances of Negacyclic Codes of Length 2 s over GR (2 a , m )[J].Journal of Systems Science and Complexity,2008,21(1):60-66. |
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| Authors: | Shixin Zhu and Xiaoshan Kai |
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| Institution: | (1) Department of Applied Mathematics, Hefei University of Technology, Hefei, 230009, China |
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| Abstract: | The Hamming distances of all negacyclic codes of length 2
s
over the Galois ring GR(2
a
,m) are given. In particular, the Lee distances of all negacyclic codes over Z
4 of length 2
s
are obtained. The Gray images of such negacyclic codes over Z
4 are also determined under the Gray map.
The research is supported by the National Natural Science Foundation of China under Grant No. 60673074. |
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| Keywords: | Gray map Hamming distances Hamming weights negacyclic codes |
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