Autocorrelation values of the third class of the generalized cyclotomic sequences of order six

被引：0

作者：

Zhao, Chun'e ^{[1
]}

Ma, Wenping ^{[1
]}

Yan, Tongjiang ^{[2
]}

Sun, Yuhua ^{[2
]}

机构：

[1] State Key Laboratory of Integrated Service Networks, Xidian University

[2] College of Science, China University of Petroleum

来源：

Journal of Computational Information Systems | 2014年 / 10卷 / 08期

关键词：

Autocorrelation; Cyclotomic sequences; Linear complexity;

D O I：

10.12733/jcis9671

中图分类号：

学科分类号：

摘要：

Binary sequences which have low autocorrelation values have important applications in communication systems and cryptography. In this paper, the autocorrelation values of the third class binary Whiteman generalized cyclotomic sequences of order six and period pq are discussed completely. Our result shows that the autocorrelation of these sequences is four-valued and that the corresponding values are in {-1, 3, -5, pq} if the parameters are chosen carefully. © 2014 Binary Information Press.

引用

页码：3213 / 3220

页数：7

共 13 条

[1]

Golomb S.W., Shift Register Sequences, (1967)

[2]

Golomb S.W., Gong G., Signal Design for Good Correlation For Wireless Communication, Cryptography, and Radar, (2005)

[3]

Antweiler M., Cross-correlation of p-ary GMW sequences, IEEE Trans. Inf. Theory, 40, pp. 1253-1261, (1994)

[4]

Klapper A., D-form sequences: Families of sequences with low correlation values and large linear spans, IEEE Trans. Inf. Theory, 41, 2, pp. 423-431, (1995)

[5]

Ding C., Helleseth T., Generalized cyclotomic codes of length p1e1⋯ptet, IEEE Transactions on Information Theory, 45, 2, pp. 467-474, (1999)

[6]

Ding C.S., Autocorrelation values of generalized cyclotomic sequences of order two, IEEE Transactions on Information Theory, 44, 4, pp. 1699-1702, (1998)

[7]

Ding C.S., Linear complexity of the generalized cyclotomic sequence of order 2, Finite fields and their Applications, 3, 2, pp. 159-174, (1997)

[8]

Bai E., Fu X., Xiao G., On the linear complexity of generalized cyclotomic sequences of order four over Zpq, IEICE Trans. on Fundamentals of Electronics, Communications and Computer Sciences, E88-A, 1, pp. 392-395, (2005)

[9]

Bai E.J., Study on construction and randomness analysis of pseudorandom sequences, (2004)

[10]

Li S., Yan T., Linear Complexity of binary sextic, Whiteman Generalized Cyclotomic Sequences, 36, 4, pp. 150-154, (2010)

← 1 2 →