Estimate of 4-adic complexity of unified quaternary sequences of length $ 2p $

Vladimir Edemskiy, Sofia Koltsova · Advances in Mathematics of Communications · 2022

We derive the 4-adic complexity of unified quaternary sequences with period \begin{document}$ 2p $\end{document} . These sequences with good autocorrelation properties are proposed by Ke et al. in 2020. We estimate the 4-adic complexity of aforementioned sequences and show that any of them has high 4-adic complexity, which is good enough to resist the attack of the rational approximation algorithm.

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