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

doi:10.48550/arxiv.2601.02919

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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Rajesh P. Singh, Dinesh Kumar, Jitendra Prakash

DOI: 10.48550/arxiv.2601.02919

Cited by: 0

Abstract

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.

Fields of Study & Subjects

Coding theory and cryptography Advanced Combinatorial Mathematics Finite Group Theory Research

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 6 January 2026
Document type: Preprint