| 环Z_（pα）上的重根负循环码 |
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| 引用本文： | 席红旗,郑喜英,孔波.环Z_（pα）上的重根负循环码[J].郑州大学学报(自然科学版),2012(3):26-28. |
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| 作者姓名： | 席红旗 郑喜英 孔波 |
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| 作者单位： | [1]河南教育学院信息技术系,河南郑州450046 [2]黄河科技学院信息工程学院数理部,河南郑州450005 [3]河南教育学院数学系,河南郑州450046 |
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| 基金项目： | 河南省基础与前沿技术研究项目,编号122300410229; 黄河科技学院自然科学基金资助项目,编号KYZR201022 |
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| 摘 要： | 证明了对任意的整数k满足1≤k≤m（α,pβ）,存在一个负循环码C≤Zpαx]/〈xn＋1〉（n=pβl且p不整除l）可由k个多项式生成但不能由k-1个多项式生成.
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| 关 键 词： | 链环 多项式环 理想 循环码 重根负循环码 |
Repeated-root Negacyclic Codes Over Z_（pα） |
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| XI Hong-qi,ZHENG Xi-ying,KONG Bo.Repeated-root Negacyclic Codes Over Z_（pα）[J].Journal of Zhengzhou University (Natural Science),2012(3):26-28. |
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| Authors: | XI Hong-qi ZHENG Xi-ying KONG Bo |
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| Institution: | 1.Department of Information Technology,Henan Institute of Education,Zhengzhou 450046,China; 2.Department of Mathematics and Physics Institute of Information Engineering,Huanghe Science and Technology College,Zhengzhou 450005,China;3.Department of Mathematics,Henan Institute of Education,Zhengzhou 450046,China) |
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| Abstract: | It was proved that for any integer k with 1≤k≤m（α,pβ）,there existed a cyclic code C≤Zpαx]/〈xn＋1〉（where n=pβl and p did not divide l）,which could be generated by k polynomials but not by k-1 polynomials. |
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| Keywords: | chain ring polynomial ring ideal cyclic code repeated-root negacyclic cyclic codes |
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