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2026-01-06 11:01 UTC · math.NT · math.NT

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

Rajesh P. Singh, Dinesh Kumar, Jitendra Prakash

Recently, Jiang et al. \cite{JIANG2025102522} obtained several classes of Permutation Polynomial of the form $x+γ\operatorname{Tr}_q^{q^2}(h(x))$ 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.
arXiv abstractPDF

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