The compositional inverses of three classes of permutation polynomials over finite fields

Fuente: arXiv
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Autores principales: Wu, Danyao, Yuan, Pingzhi, Guan, Huanhuan, Li, Juan
Formato: Preprint
Publicado: 2024
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author Wu, Danyao
Yuan, Pingzhi
Guan, Huanhuan
Li, Juan
author_facet Wu, Danyao
Yuan, Pingzhi
Guan, Huanhuan
Li, Juan
contents R. Gupta, P. Gahlyan and R.K. Sharma presented three classes of permutation trinomials over $\mathbb{F}_{q^3}$ in Finite Fields and Their Applications. In this paper, we employ the local method to prove that those polynomials are indeed permutation polynomials and provide their compositional inverses.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18517
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The compositional inverses of three classes of permutation polynomials over finite fields
Wu, Danyao
Yuan, Pingzhi
Guan, Huanhuan
Li, Juan
Number Theory
R. Gupta, P. Gahlyan and R.K. Sharma presented three classes of permutation trinomials over $\mathbb{F}_{q^3}$ in Finite Fields and Their Applications. In this paper, we employ the local method to prove that those polynomials are indeed permutation polynomials and provide their compositional inverses.
title The compositional inverses of three classes of permutation polynomials over finite fields
topic Number Theory
url https://arxiv.org/abs/2409.18517