2-Adic complexity of binary sequences with interleaved structure

2-Adic complexity of binary sequences with interleaved structure
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DOI:
10.1016/j.ffa.2014.09.009
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发表时间:
2015-05
期刊:
Finite Fields Their Appl.
影响因子:
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通讯作者:
Hai Xiong;Longjiang Qu;C. Li
Hai Xiong;Longjiang Qu;C. Li
中科院分区:
其他
文献类型:
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作者:
Hai Xiong;Longjiang Qu;C. Li

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本文研究了具有交错结构的二元序列的2-adic复杂度。首先,完全确定了Zhou等人[23]构造的低相关区(LCZ)序列的2-adic复杂度。我们表明,他们的2-adic复杂度可以达到最大值,如果适当的参数选择。其次,我们还确定了由Tang和Ding [16]构造的最优自相关序列的2-adic复杂度。结果表明,它们具有最大的2-adic复杂度。
In this paper, 2-adic complexity of some binary sequences with interleaved structure is investigated. Firstly, 2-adic complexity of low correlation zone (LCZ) sequences constructed by Zhou et al. [23] is completely determined. We show that their 2-adic complexity could attain the maximum if suitable parameters are chosen. Secondly, we also determine 2-adic complexity of optimal autocorrelation sequences constructed by Tang and Ding [16]. Results show that they have the maximum 2-adic complexity.