Classification of a class of planar quadrinomials

2024/04/22 by Chin Hei Chan, Chan, Chin Hei, Maosheng Xiong +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2404.14291

openalex publication_date 2024/04/22 · openalex created_date 2024/04/24 · openalex updated_date 2026/07/28

Abstract

Let p be an odd prime, k,ℓ be positive integers, q=pk, Q=pℓ. In this paper we characterise planar functions of the form f_\underlinec(X)=c0XqQ+q+c1XqQ+1+c2XQ+q+c3XQ+1 over \mathbbFq2 for any \underlinec=(c0,c1,c2,c3) ∈ \mathbbFq24 in terms of linear equivalence.

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