Kim, Chung, No and Chung introduced new families of M-ary sequences by using Sidel’nikov sequences and the shift-and-add method. Chung, No and Chung constructed more families of M-ary sequences based on Sidel’nikov sequences and the shift-and-inverse method. In this paper we further study the balancedness of these sequences and show that they have asymptotical uniform pattern distributions under some assumptions on the parameters of the sequences. Linear complexity profiles of the sequences are also studied.

中文翻译：

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Sidel'nikov序列的M-ary序列的平衡、模式分布和线性复杂度

Kim、Chung、No 和 Chung通过使用 Sidel'nikov 序列和移位加法方法引入了新的M序列族。Chung、No 和Chung基于Sidel'nikov 序列和移位逆法构建了更多的M序列族。在本文中，我们进一步研究了这些序列的平衡性，并表明它们在对序列参数的一些假设下具有渐近均匀的模式分布。还研究了序列的线性复杂度分布。