论文标题

功能场具有高关节非线性复杂性的多脉冲

Multisequences with high joint nonlinear complexity from function fields

论文作者

Yan, Yang, Wang, Qiuyan, Wu, Chenhuang

论文摘要

有限字段的多键在与并行化相关的应用中起着推动作用,例如基于单词的流密码和伪随机矢量生成。研究多索的复杂性度量很有趣。在本文中,我们提出了三个多s构造,这些构建是从有限函数字段和赫米尔式函数字段的有限字段上进行的三个结构。我们还分析了这些多峰的关节非线性复杂性。此外,这些多音价的长度和尺寸是灵活的。

Multisequences over finite fields play a pushing role in the applications that relate to parallelization, such as word-based stream ciphers and pseudorandom vector generation. It is interesting to study the complexity measures for multisequences. In this paper, we propose three constructions of multisequences over finite fields from rational function fields and Hermitian function fields. We also analyze the joint nonlinear complexity of these multisequences. Moreover, the length and dimension of these multisequences are flexible.

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