| 一类新的广义割圆序列的线性复杂度及其自相关值 |
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| 引用本文： | 刘华宁,陈晓林.一类新的广义割圆序列的线性复杂度及其自相关值[J].数学学报,2019,62(2):233-246. |
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| 作者姓名： | 刘华宁 陈晓林 |
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| 作者单位： | 西北大学数学学院 西安 710127 |
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| 基金项目： | 国家自然科学基金资助项目（11571277）；陕西省工业科技攻关项目（2016GY-077，2016GY-080） |
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| 摘 要： | 最近,丁存生基于新的割圆类(V_0,V_1)构造了循环码并研究了其性质.本文利用割圆类(V_0, V_1)构造了周期为pq的2阶二元序列,并计算了其自相关值、线性复杂度和极小多项式.
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| 关 键 词： | 流密码 广义割圆类 广义割圆序列 自相关值 线性复杂度 |
Autocorrelation Values and Linear Complexity of New Generalized Cyclotomic Squences |
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| Hua Ning LIU,Xiao Lin CHEN.Autocorrelation Values and Linear Complexity of New Generalized Cyclotomic Squences[J].Acta Mathematica Sinica,2019,62(2):233-246. |
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| Authors: | Hua Ning LIU Xiao Lin CHEN |
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| Institution: | School of Mathematics, Northwest University, Xi'an 710127, P. R. China |
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| Abstract: | Recently Ding has constructed certain cyclic codes by using new cyclotomy (V0,V1) and studied the properties. In this paper we construct new binary sequences of order two and length pq by using the cyclotomy (V0,V1), and calculate the autocorrelation values, linear complexity and minimal polynomials. |
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| Keywords: | stream cipher generalized cyclotomy generalized cyclotomic sequence autocorrelation value linear complexity |
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