| 环Z4上长为2e的循环码的齐次距离 |
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| 引用本文： | 彭培让,郑喜英,孔波.环Z4上长为2e的循环码的齐次距离[J].河南大学学报(自然科学版),2012,42(2):121-124. |
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| 作者姓名： | 彭培让 郑喜英 孔波 |
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| 作者单位： | 1. 河南教育学院数学系,郑州,450046
2. 黄河科技学院信息工程学院,郑州,450005 |
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| 基金项目： | 河南省基础与前沿技术研究基金(092300410147);河南省教育厅自然科学基金(2009A110004);黄河科技学院自然科学基金(KYZR201022) |
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| 摘 要： | 结合齐次重量的计算公式和环Z4上长2e的循环码的生成多项式,以及环Z4上长为2e的循环码的Ham-ming距离和Lee距离,给出了环Z4上长为2e的循环码的齐次距离.
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| 关 键 词： | Z4环 循环码 齐次重量 齐次距离 |
Homogeneous Distances of Cyclic Codes of Length 2e on Ring Z4 |
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| PENG Pei-rang
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ZHENG Xi-ying
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KONG Bo.Homogeneous Distances of Cyclic Codes of Length 2e on Ring Z4[J].Journal of Henan University(Natural Science),2012,42(2):121-124. |
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| Authors: | PENG Pei-rang ZHENG Xi-ying KONG Bo |
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| Institution: | 1 (1.Department of Mathematics,Henan Institute of Education,Zhengzhou 450046,China;2.Institute of Information Engineering of Huanghe Science and Technology College,Zhengzhou 450005,China) |
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| Abstract: | Combined with the calculation formula of the homogeneous weights,the generation polynomials of cyclic codes of length 2e on ring Z4,the Hamming distances and the Lee distances of cyclic codes of length 2e on ring Z4,we give the homogeneous distances of cyclic codes of length 2e on ring Z4 in this paper. |
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| Keywords: | Z4 ring cyclic codes homogeneous weights homogeneous distances |
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