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arXiv · 2601.02919

Inverses of six classes of permutation polynomials of the form $x+\gamma\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields of even characteristic

Rajesh P. Singh·Dinesh Kumar·Jitendra Prakash
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Abstract

Recently, Jiang et al. \cite{JIANG2025102522} obtained several classes of Permutation Polynomial of the form $x+\gamma\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields $\mathbb{F}_{q^2},q=2^n$. In this paper, we find the compositional inverse of six classes of permutation polynomials of this form.

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Rajesh P. Singh, Dinesh Kumar, Jitendra Prakash. 2026-01-06. Inverses of six classes of permutation polynomials of the form $x+\gamma\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields of even characteristic. https://arxiv.org/abs/2601.02919

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