Some new balanced and almost balanced quaternary sequences with low autocorrelation

被引:0
作者
Jerod Michel
Qi Wang
机构
[1] Southern University of Science and Technology,Department of Computer Science and Engineering
来源
Cryptography and Communications | 2019年 / 11卷
关键词
Periodic sequence; Quaternary sequence; Periodic autocorrelation; Linear complexity; 05B10; 05B30; 11T22; 94A55; 94C30;
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暂无
中图分类号
学科分类号
摘要
Quaternary sequences of both even and odd period having low autocorrelation are studied. We construct new families of balanced quaternary sequences of odd period and low autocorrelation using cyclotomic classes of order eight, as well as investigate the linear complexity of some known quaternary sequences of odd period. We discuss a construction given by Chung et al. in “New Quaternary Sequences with Even Period and Three-Valued Autocorrelation” (IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E93-A(1), 309–315 2010) first by pointing out a slight modification and then by showing that, in certain cases, this slight modification generalizes the construction given by Shen et al. in “New Families of Balanced Quaternary Sequences of Even Period with Three-level Optimal Autocorrelation” (IEEE Commun. Lett. 2017(10), 2146–2149 2017). We investigate the linear complexity of these sequences as well.
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页码:191 / 206
页数:15
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