On Permutation Trinomials of the type X^q2-q+1+AX^q2+BX over \mathbbF_q³

2023/06/16 by Daniele Bartoli, Bartoli, Daniele, Francesco Ghiandoni +1
Computer Science · Mathematics · #Advanced Algebra and Geometry #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2306.09972

openalex publication_date 2023/06/16 · openalex created_date 2023/06/20 · openalex updated_date 2026/07/28

Abstract

Necessary and sufficient conditions on A,B∈ \mathbbF_q³^* for f(X)=X^q2-q+1+AX^q2+BX being a permutation polynomial of \mathbbF_q³ are investigated via a connection with algebraic varieties over finite fields.

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