| Z_q上的1生成准扭码 |
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| 引用本文： | 徐贤奇,朱士信. Z_q上的1生成准扭码[J]. 中国科学技术大学学报, 2012, 42(3): 214-219 |
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| 作者姓名： | 徐贤奇 朱士信 |
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| 作者单位： | 1. 合肥工业大学数学学院,安徽合肥,230009
2. 合肥工业大学数学学院,安徽合肥230009;东南大学移动通信国家重点实验室,江苏南京210096 |
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| 基金项目： | 国家自然科学基金，教育部高校博士点基金 |
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| 摘 要： | 运用Galois环和Hensel提升的相关知识给出了多项式xn-λ(其中,λ∈Zq,q=pk,p为素数)在Zq[x]中的不可约分解方法,证明了Zq上的常循环码等价于Zq的某一Galois扩环上的循环码,并在此基础上给出了Zq上的常循环码及1生成准扭码的相关性质.
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| 关 键 词： | 准扭码 常循环码 Galois环 Hensel提升 |
1-generator quasi-twisted codes over Zq |
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| XU Xianqi , ZHU Shixin. 1-generator quasi-twisted codes over Zq[J]. Journal of University of Science and Technology of China, 2012, 42(3): 214-219 |
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| Authors: | XU Xianqi ZHU Shixin |
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| Affiliation: | 1,2 (1.School of Mathematics,Hefei University of Technology,Hefei 230009,China; 2.National Mobile Communications Research Laboratory,Southeast University,Nanjing 210096,China) |
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| Abstract: | The irreducible decomposition method of xn-λ(λ∈Zq,q=pk,p is a prime number) in Zq[x] was given by the relevant knowledge of Galois rings and Hensel lift.It was proved that the constacyclic codes over Zq is equivalent to a cyclic code of its Galois extension ring.And on this basis,the relevant properties of constacyclic codes and 1-generator quasi-twisted codes were given. |
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| Keywords: | quasi-twisted codes constacyclic codes Galois ring Hensel lift |
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