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New generalized cyclotomic binary sequences of period $$p^2$$ |
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| Authors: | Zibi Xiao Xiangyong Zeng Chunlei Li Tor Helleseth |
| Institution: | 1.Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics,Hubei University,Wuhan,China;2.College of Science,Wuhan University of Science and Technology,Wuhan,China;3.State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences,Beijing,China;4.Department of Informatics,University of Bergen,Bergen,Norway |
| Abstract: | New generalized cyclotomic binary sequences of period \(p^2\) are proposed in this paper, where p is an odd prime. The sequences are almost balanced and their linear complexity is determined. The result shows that the proposed sequences have very large linear complexity if p is a non-Wieferich prime. |
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