|
|||||
|
|
| THE HAMMING DISTANCES OF NEGACYCLIC CODES OF LENGTH 2^s OVER GR （2^α, m） | |
| 引用本文： | Shixin ZHU Xiaoshan KAI. THE HAMMING DISTANCES OF NEGACYCLIC CODES OF LENGTH 2^s OVER GR （2^α, m）[J]. 系统科学与复杂性, 2008, 21(1): 60-66. DOI: 10.1007/s11424-008-9066-1 |
| 作者姓名： | Shixin ZHU Xiaoshan KAI |
| 作者单位： | Department of Applied Mathematics, Hefei University of Technology, Hefei 230009, China. |
| 基金项目： | The research is supported by the National Natural Science Foundation of China under Grant No. 60673074. |
| 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. |
| 关 键 词： | 加重平衡 节点 地图 测量技术 |
| 收稿时间： | 2007-01-08 |
The Hamming Distances of Negacyclic Codes of Length 2 s over GR (2 a , m ) |
|
| Shixin Zhu and 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. DOI: 10.1007/s11424-008-9066-1 | |
| Authors: | Shixin Zhu and Xiaoshan Kai |
| Affiliation: | (1) Department of Applied Mathematics, Hefei University of Technology, Hefei, 230009, China |
| 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. |
| Keywords: | Gray map Hamming distances Hamming weights negacyclic codes |
| 本文献已被 维普 SpringerLink 等数据库收录！ | |