| 修改的Jacobi序列的线性复杂度 |
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| 引用本文： | 闫统江,张宁,肖国镇.修改的Jacobi序列的线性复杂度[J].中国石油大学学报(自然科学版),2006,30(2):147-150. |
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| 作者姓名： | 闫统江 张宁 肖国镇 |
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| 作者单位： | 1. 西安电子科技大学,综合业务网国家重点实验室,陕西,西安,710071;中国石油大学,数学与计算科学学院,山东,东营,257061
2. 西安电子科技大学,综合业务网国家重点实验室,陕西,西安,710071 |
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| 摘 要： | 利用剩余类环Zpq上的广义割圆理论，给出了周期为pq的修改的Jacobi序列的一个新定义，并得到了修改的Jacobi序列的线性复杂度和极小多项式，从而证明了Green猜想的正确性。分析结果表明，多数修改的Jacobi序列具有良好的线性复杂度。
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| 关 键 词： | Jacobi序列 割圆理论 线性复杂度 极小多项式 |
| 收稿时间： | 2005-08-13 |
Linear complexity of modified Jacobi sequences |
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| YAN Tong-jiang,ZHANG Ning,XIAO Guo-zhen.Linear complexity of modified Jacobi sequences[J].Journal of China University of Petroleum,2006,30(2):147-150. |
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| Authors: | YAN Tong-jiang ZHANG Ning XIAO Guo-zhen |
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| Institution: | 1. ISN National Key Laboratory, Xidian University, Xian 710071, China ; 2. College of Mathematics and Computational Science in China University of Petroleum, Dongying 257061, Shandong Province, China |
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| Abstract: | According to the theory of generalized cyclotomy on two-prime residue class ring Z_pq,a new definition of modified Jacobi sequences(MJSs) with the period of pq was presented.Based on the new definition,linear complexity and minimal polynomials of MJSs were calculated.The obtained results can guarantee the correctness of Green conjecture and show that most of MJSs possess good linear complexity. |
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| Keywords: | Jacobi sequence cyclotomy theory linear complexity minimal polynomial |
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