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GF(3)上一类几乎平衡的6阶分圆序列 被引量：5

A nearly equidistance cyclotomic sequence of order 6 over GF(3)
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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. 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.
作者 曹静 岳勤
机构地区 南京航空航天大学理学院数学系
出处 《徐州师范大学学报（自然科学版）》 CAS 2011年第3期9-13,共5页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10971250 11171150)
关键词 分圆序列 分圆数 自相关值 cyclotomic sequence cyclotomic number autocorrelation value
分类号 O157.4 [理学—基础数学]
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参考文献9

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同被引文献19

  • 1Ding Cunsheng. Two constructions of (v, (v- 1)/2, ( v- 3 )/2) difference families[J]. J Combin Des, 2008, 16(2):164.
  • 2Chang Yanxun,Ding Cunsheng. Constructions of exter- nal difference families and disjoint difference families[J]. Designs Codes and Cryptogr, 2006,40 (2) : 167.
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  • 9Ding Cunsheng. Linear complexity of generalied cy- elotomie binary sequences of order 2[J]. Finite Fields Appl,1997,3(2) :159.
  • 10Edemskiy V. About computation the linear. complexity of generalized eyclotomie sequences with period p,+l [J]. Des Codes Cryptogr,2011,61(3) :251.

引证文献5

二级引证文献6

徐州师范大学学报（自然科学版）
2011年 第3期

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