A generalization of the Hall's sextic residue sequences
A generalization of the Hall's sextic residue sequences
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DOI：
10.1016/j.ins.2012.07.048
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
Xiaoni Du;Zhixiong Chen
中科院分区：
文献类型：
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作者：
Xiaoni Du;Zhixiong Chen
设p是一个素数，具有6∣(p−1)和整数m大于或等于1。作为霍尔六分残基序列的推广，我们通过定义六分广义环残基类，在残基类环模pm上引入了一些广义环残基二元序列族。我们确定了线性复杂度的值，该值足够大，可以抵抗使用Berlekamp-Massey算法的安全攻击。我们还研究了当m=2时结果序列的跟踪函数表示。
Let p be a prime with 6∣(p−1) and integer m⩾1. As a generalization of the Hall’s sextic residue sequences, we introduce some families of generalized cyclotomic binary sequences over the residue class ring modulo pmby defining sextic generalized cyclotomic residue classes. We determine the values of the linear complexity, which are large enough to resist security attacks using the Berlekamp–Massey algorithm. We also investigate the trace function representation for the resulting sequences when m=2.