[1]胡丽琴,岳 勤,朱小萌.周期pq的二阶广义分圆序列自相关值[J].南京理工大学学报(自然科学版),2015,39(05):550.
 Hu Liqin,Yue Qin,Zhu Xiaomeng.Autocorrelation value of generalized cyclotomic sequences with period pq[J].Journal of Nanjing University of Science and Technology,2015,39(05):550.
点击复制

周期pq的二阶广义分圆序列自相关值
分享到:

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
39卷
期数:
2015年05期
页码:
550
栏目:
出版日期:
2015-10-31

文章信息/Info

Title:
Autocorrelation value of generalized cyclotomic sequences with period pq
作者:
胡丽琴1岳 勤2朱小萌2
1.杭州电子科技大学 通信工程学院,浙江 杭州 310018;
2.南京航空航天大学 理学院,江苏 南京210016
Author(s):
Hu Liqin1Yue Qin2Zhu Xiaomeng2
1.School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China;
2.School of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
关键词:
分圆序列 广义分圆 自相关值
Keywords:
cyclotomic sequences generalized cyclotomy autocorrelation values
分类号:
O157.4
摘要:
具有好的伪随机特性的序列在码分多址系统、流密码学等领域具有重要作用。在某些应用环境中,通常需要序列具有良好的相关特性,例如在码分多址系统中,多个用户共享同一信道,每个用户分配不同的扩频序列。为了区分彼此,减少由于同时使用同一信道而产生的竞争和干扰,需要采用相关性较低的序列。令p,q为满足gcd(p-1,q-1)=2的两个不同素数。该文给出了一类周期为N=pq的二元Whiteman广义分圆序列,并利用广义分圆数等理论给出了该序列的自相关值。
Abstract:
Pseudorandom sequences with good properties are important for many practical applications,such as code division multiple access(CDMA)communication systems and cryptography.The sequences with good autocorrelation are needed in some well-known applications.In CDMA systems,several users share the same bandwidth,and each user is assigned a distinct spreading sequence.In order to distinguish each other and minimize interference due to competing and simultaneous traffic across the same channel,the employed sequences are required to have low correlation.Let p,q be distinct primes with gcd(p-1,q-1)=2.In this paper,a class of Whiteman generalized cyclotomic binary sequence with period N=pq is constructed,and the autocorrelation value of the sequence is given.

参考文献/References:

[1] Whiteman Albert Leon.A family of difference sets[J].Illinois Journal of Mathematics,1962,6:107-121.
[2]Storer Thomas.Cyclotomy and difference set[M].Chicago,US:Markham,1967.
[3]Ding Cunsheng.Autocorrelation values of generalized cyclotomic sequences of order two[J].IEEE Transactions on Information Theory,1998,44(4):1699-1702.
[4]Bai Enjian,Liu Xiaojuan.Generalized cyclotomic sequences of order four over Zpq and their autocorrelation values[J].Gongcheng Shuxue Xuebao,2008,25(5):894-900.
[5]尹利利,曹喜望.一类广义分圆三元序列的自相关值和线性复杂度[J].计算机科学与应用,2012,2:165-171.
Yin Lili,Cao Xiwang.The autocorrelation values and linear complexity of a class of generalized cyclotomic ternary sequence[J].Computer Science and Application,2012,2:165-171.
[6]Hu Liqin,Yue Qin.Autocorrelation value of Whiteman generalized cyclotomic sequence[J].Journal of Mathematical Research with Applications,2012,32(4):415-422.
[7]Ke Pinhui,Zhang Jie,Zhang Shengyuan.On the linear complexity and the autocorrelation of generalized cyclotomic binary sequences of length 2pm[J].Designs,Codes and Cryptography,2013,67(3):325-339.
[8]Hu Liqin,Yue Qin,Zhu Xiaomeng.Gauss period and cyclic codes from cyclotomic sequences of small orders[J].Journal of Electronics(China),2014,31(6):537-546.
[9]胡丽琴,岳勤,朱小萌.具有两个非零点循环码的权重分布[J].中国科学(数学),2014,44(9):1021-1034.
Hu Liqin,Yue Qin,Zhu Xiaomeng.Weight distributions of a class of cyclic codes with two nonzero[J].Scientia Sinica Mathematica,2014,44(9):1021-1034.
[10]姜枫,朱保平,朱辉生.孪生素数序列的k-错线性复杂度研究[J].南京理工大学学报,2011,35(3):382-385.
Jiang Feng,Zhu Baoping,Zhu Huisheng.k-error linear complexity of twin prime sequences[J].Journal of Nanjing University of Science and Technology,2011,35(3):382-385.

备注/Memo

备注/Memo:
收稿日期:2015-02-04 修回日期:2015-04-22
基金项目:国家自然科学基金(11171150); 信息保障技术重点实验室开放基金(KJ-13-001); 江苏省普通高校研究生科研创新计划(CXLX13-127); 南京航空航天大学博士学位论文创新与创优基金(BCXJ13-17)
作者简介:胡丽琴(1988-),女,博士生,主要研究方向:信息安全,E-mail:huqin0916@126.com。
引文格式:胡丽琴,岳勤,朱小萌.周期pq的二阶广义分圆序列自相关值[J].南京理工大学学报,2015,39(5):550-555.
投稿网址:http://zrxuebao.njust.edu.cn
DOI:10.14177/j.cnki.32-1397n.2015.39.05.007
更新日期/Last Update: 2015-10-31