Welcome to the resource topic for 2024/632
Title:
Further Investigations on Nonlinear Complexity of Periodic Binary Sequences
Authors: Qin Yuan, Chunlei Li, Xiangyong Zeng, Tor Helleseth, Debiao He
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.
ePrint: https://eprint.iacr.org/2024/632
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