Further Investigations on Nonlinear Complexity of Periodic Binary Sequences

ePrint Report: Further Investigations on Nonlinear Complexity of Periodic Binary Sequences

Qin Yuan, Chunlei Li, Xiangyong Zeng, Tor Helleseth, Debiao He

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 …

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