On Permutation Trinomials of the type $X^{q^2-q+1}+AX^{q^2}+BX$ over $\mathbb{F}_{q^3}$

Published 16 Jun 2023 in math.CO | (2306.09972v1)

Abstract: Necessary and sufficient conditions on $A,B\in \mathbb{F}{q^{3}^*$} for $f(X)=X^{{q^{2-q+1}+AX^{{q^2}+BX$}}} being a permutation polynomial of $\mathbb{F}{q^3}$ are investigated via a connection with algebraic varieties over finite fields.

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