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

2024/09/27 by Danyao Wu, Wu, Danyao, Pingzhi Yuan +5
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2409.18517

openalex publication_date 2024/09/27 · openalex created_date 2024/10/27 · openalex updated_date 2026/07/28

Abstract

R. Gupta, P. Gahlyan and R.K. Sharma presented three classes of permutation trinomials over \mathbbF_q³ 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.

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