Linear complexity of generalized cyclotomic binary sequences of order 2d and length 2pm-Reference-Cited by-同舟云学术

Linear complexity of generalized cyclotomic binary sequences of order 2d and length 2pm

Published:2016-08-24 Issue:05 Volume:14 Page:1650040
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

Zuo Xuewu¹,Li Xu²,Xiao Jin³,Tang Yuanyan⁴,Abbasi Rashid⁵,Xu Lixiang²⁵⁶

Affiliation:

1. Department of Common Course Teaching, Anhui Xinhua University, Hefei 230088, Anhui, P. R. China

2. Department of Mathematics and Physics, Hefei University, Hefei 230601, Anhui, P. R. China

3. Business School, Sichuan University, Chengdu 610064, Sichuan, P. R. China

4. Department of Computer and Information Science, Faculty of Science and Technology, University of Macau, Macau

5. School of Computer Science and Technology, Anhui University, Hefei 230601, Anhui, P. R. China

6. Department of Mathematics and Computer Science, University of Münster, Einsteinstr. 62, 48149, Münster, Germany

Abstract

In this paper, we construct two new cyclotomic binary sequences of order [Formula: see text] and length [Formula: see text] which include the sequences constructed by Ke et al. in 2012. We also compute their linear complexity. The results show that these sequences have good linear complexity.

Funder

Research Grants from Macau

National Natural Science Foundation of China

National Natural Science Foundation of China (CN)

MOE Youth Project of Humanities and Social Sciences

Natural Science Foundation of Anhui Higher Education Institutions

Youth core visiting research key project

Key Project of Hefei University

China Scholarship Council

Youth Foundation of Sichuan Province

Excellent Youth fund of Sichuan University

Publisher