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arXiv · 2404.16313

Further Investigations on Nonlinear Complexity of Periodic Binary Sequences

Qin Yuan·Chunlei Li·Xiangyong Zeng·Tor Helleseth·Debiao He
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Abstract

Nonlinear complexity is an important measure for assessing the randomness of sequences. In this paper we investigate how circular shifts affect the nonlinear complexities of finite-length binary sequences and then reveal a more explicit relation between nonlinear complexities of finite-length binary sequences and their corresponding periodic sequences. Based on the relation, we propose two algorithms that can generate all periodic binary sequences with any prescribed nonlinear complexity.

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Qin Yuan, Chunlei Li, Xiangyong Zeng, Tor Helleseth, Debiao He. 2024-04-25. Further Investigations on Nonlinear Complexity of Periodic Binary Sequences. https://arxiv.org/abs/2404.16313

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