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arXiv · 2609.10369

Construction of Multi-sequences With High Nonlinear Complexity via Narrow Ray Class Fields

Xiaofeng Liu·Jun Zhang·Fang-Wei Fu
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Abstract

Nonlinear complexity is a fundamental criterion in the evaluation of pseudorandom sequences. The construction of multi-sequences with high nonlinear complexity is both theoretically and practically important in cryptography. Motivated by prior constructions of multi-sequences with high nonlinear complexity in [IEEE Trans. Inf. Theory, 60(10), 2014] and [IEEE Trans. Inf. Theory, 63(12), 2017], we provide a unified framework via narrow ray class fields, the cyclic descent due to Guruswami and Xing in [J. Combin. Theory Ser. A 129 (2015) ]. Then we can generate new multi-sequences with high nonlinear complexity over function fields with arbitrary genera.

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Xiaofeng Liu, Jun Zhang, Fang-Wei Fu. 2026-09-09. Construction of Multi-sequences With High Nonlinear Complexity via Narrow Ray Class Fields. https://arxiv.org/abs/2609.10369

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