Some new balanced and almost balanced quaternary sequences with low autocorrelation

Some new balanced and almost balanced quaternary sequences with low autocorrelation
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一些新的低自相关平衡和近平衡四元序列

DOI:
10.1007/s12095-018-0281-x
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发表时间:
2017-04
期刊:
Cryptography and Communications
影响因子:
--
通讯作者:
Qi Wang
Qi Wang
中科院分区:
其他
文献类型:
--
作者:
Jerod Michel;Qi Wang

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研究了低自相关的奇偶周期第四纪序列。利用8阶环切类构造了新的奇周期低自相关平衡四元序列族,并研究了一些已知的奇周期四元序列的线性复杂度。我们讨论了Chung等人在“具有偶数周期和三值自相关的新四元序列”(IEICE Trans.)中给出的构造。Fundam。电子。Commun。第一版。科学。E93-A(1), 309-315 2010)首先指出了一个细微的修改,然后表明,在某些情况下,这个细微的修改推广了Shen等人在“具有三层最优自相关的偶数周期平衡四元序列的新族”(IEEE common)中给出的构造。通讯,2017(10),2146-2149 2017)。我们也研究了这些序列的线性复杂度。
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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发表时间: 2003-04
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