- Issue:
- 2015年05期

- Page:
- 550-

- Research Field:

- Publishing date:

- Title:
- Autocorrelation value of generalized cyclotomic sequences with period pq

- Author(s):
- Hu Liqin
^{1}; Yue Qin^{2}; Zhu Xiaomeng^{2} - 1.School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310018,China;

2.School of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

- PACS:
- O157.4

- DOI:
- -

- 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.

[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 Z_{pq} 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 2p^{m}[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.

- Memo:
- -

Last Update: 2015-10-31