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arXiv · 2502.18759

Some permutation polynomials via linear translators

Xuan Pang·Pingzhi Yuan·Hongjian Li
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Abstract

Permutation polynomials with explicit constructions over finite fields have long been a topic of great interest in number theory. In recent years, by applying linear translators of functions from $\mathbb{F}_{q^n}$ to $\mathbb{F}_q$, many scholars constructed some classes of permutation polynomials. Motivated by previous works, we first naturally extend the notion of linear translators and then construct some permutation polynomials.

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Xuan Pang, Pingzhi Yuan, Hongjian Li. 2025-02-26. Some permutation polynomials via linear translators. https://arxiv.org/abs/2502.18759

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