| Self-Dual Permutation Codes over Finite Chain Rings |
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| 引用本文： | YUAN Yuan ZHANG Huanguo. Self-Dual Permutation Codes over Finite Chain Rings[J]. 武汉大学学报:自然科学英文版, 2007, 12(6): 992-996. DOI: 10.1007/s11859-007-0058-0 |
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| 作者姓名： | YUAN Yuan ZHANG Huanguo |
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| 作者单位： | [1]School of Computer, Wuhan University, Wuhan 430072, Hubei, China [2]School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510000, Guangdong, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （60373087, 60473023, 90104005, 60673071） |
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| 摘 要： | Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given.
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| 关 键 词： | 有限链环 群码 置换立方体 自对偶 |
| 文章编号： | 1007-1202（2007）06-0992-05 |
| 收稿时间： | 2007-03-28 |
| 修稿时间： | 2007-03-28 |
Self-dual permutation codes over finite chain rings |
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| Yuan Yuan,Zhang Huanguo. Self-dual permutation codes over finite chain rings[J]. Wuhan University Journal of Natural Sciences, 2007, 12(6): 992-996. DOI: 10.1007/s11859-007-0058-0 |
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| Authors: | Yuan Yuan Zhang Huanguo |
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| Affiliation: | (1) School of Computer, Wuhan University, Wuhan, 430072, Hubei, China;(2) School of Informatics, Guangdong University of Foreign Studies, Guangzhou, 510000, Guangdong, China |
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| Abstract: | Permutation codes over finite chain rings are introduced; by using the character of the finite chain rings and the knowledge of representation of group, some conditions for existence or non-existence of self-dual permutation codes over finite chain rings are obtained. Specially, when the group is a direct product of a 2-group and a T-group, and the group action is transitive, the sufficient and necessary condition of the existence of permutation codes is given. |
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| Keywords: | finite chain ring group code permutation code self-dual code |
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