| GF(3)上一类几乎平衡的6阶分圆序列 |
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| 引用本文： | 曹静,岳勤.GF(3)上一类几乎平衡的6阶分圆序列[J].徐州师范大学学报(自然科学版),2011(3):9-13. |
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| 作者姓名： | 曹静 岳勤 |
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| 作者单位： | 南京航空航天大学理学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目(10971250,11171150) |
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| 摘 要： | 具有良好自相关性的伪随机序列在信息安全等领域中有着广泛的应用.在GF(3)上构造一类周期为p的几乎平衡6阶分圆序列,利用6阶分圆数计算出该序列的自相关值,并进一步给出满足适当条件的素数p,使得这类序列的自相关值为3值.
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| 关 键 词： | 分圆序列 分圆数 自相关值 |
A nearly equidistance cyclotomic sequence of order 6 over GF(3) |
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| Cao Jing,Yue Qin.A nearly equidistance cyclotomic sequence of order 6 over GF(3)[J].Journal of Xuzhou Normal University(Natural Science Edition),2011(3):9-13. |
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| Authors: | Cao Jing Yue Qin |
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| Institution: | Cao Jing,Yue Qin(Department of Mathematics,College of Science,Nanjing University of Aeronautics & Astronautics,Nanjing 211100,Jiangsu,China) |
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| Abstract: | Pseudorandom sequences with good autocorrelation have wide applications to communication systerm and so on.In this paper,a nearly equidistance cyclotomic sequence of order six over GF(3) is constructed,and its autocorrelation value is calculated by using cyclotomic number.Moreover,the conditions of p that its autocorrelation value has three-level are found. |
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| Keywords: | cyclotomic sequence cyclotomic number autocorrelation value |
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