On the linear complexity of generalized cyclotomic sequences with the period pm

On the linear complexity of generalized cyclotomic sequences with the period pm
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DOI:
10.1016/j.aml.2007.03.011
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发表时间:
2008-02
期刊:
Appl. Math. Lett.
影响因子:
--
通讯作者:
Tongjiang Yan;Shengqiang Li;G. Xiao
Tongjiang Yan;Shengqiang Li;G. Xiao
中科院分区:
其他
文献类型:
--
作者:
Tongjiang Yan;Shengqiang Li;G. Xiao

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这封信有助于研究周期为 pm 的广义分圆序列的线性复杂性,该序列包含在 C. Ding 和 T. Helleseth 于 1998 年构建的序列中,作为代表性特例。获得的结果证实所有这些序列都具有高线性复杂度。
This letter contributes to the investigation of the linear complexity of generalized cyclotomic sequences with the period pm, which are contained by the sequences constructed by C. Ding and T. Helleseth in 1998, as a representative special case. The results obtained confirm that all of these sequences have high linear complexity.