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arXiv · 2209.10279

The 4-Adic Complexity of Interleaved Quaternary Sequences of Even Length with Optimal Autocorrelation

Xiaoyan Jing·Zhefeng Xu·Minghui Yang·Keqin Feng
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Abstract

Su et al. proposed several new classes of quaternary sequences of even length with optimal autocorrelation interleaved by twin-prime sequences pairs, GMW sequences pairs or binary cyclotomic sequences of order four in \cite{S1}. In this paper, we determine the 4-adic complexity of these quaternary sequences with period $2n$ by using correlation function and the "Gauss periods" of order four and "quadratic Gauss sums" on finite field $\mathbb{F}_n$ and valued in $\mathbb{Z}^{*}_{4^{2n}-1}$. Our results show that they are safe enough to resist the attack of the rational approximation algorithm.

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Xiaoyan Jing, Zhefeng Xu, Minghui Yang, Keqin Feng. 2022-09-21. The 4-Adic Complexity of Interleaved Quaternary Sequences of Even Length with Optimal Autocorrelation. https://arxiv.org/abs/2209.10279

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