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arXiv · 2304.14242

On a Class of Permutation Polynomials and Their Inverses

Ruikai Chen·Sihem Mesnager
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Abstract

We introduce a class of permutation polynomial over $\mathbb F_{q^n}$ that can be written in the form $\frac{L(x)}{x^{q+1}}$ or $\frac{L(x^{q+1})}x$ for some $q$-linear polynomial $L$ over $\mathbb F_{q^n}$. Specifically, we present those permutation polynomials explicitly as well as their inverses. In addition, more permutation polynomials can be derived in a more general form.

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Ruikai Chen, Sihem Mesnager. 2023-04-27. On a Class of Permutation Polynomials and Their Inverses. https://doi.org/10.1016/j.ffa.2024.102403

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