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arXiv · 2408.08957

On the functional graph of $f(X)=X(X^{q-1}-c)^{q+1},$ over quadratic extensions of finite fields

Josimar J. R. Aguirre·Abílio Lemos·Victor G. L. Neumann
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Abstract

Let $\mathbb{F}_{q}$ be the finite field with $q$ elements. In this paper we will describe the dynamics of the map $f(X)=X(X^{q-1}-c)^{q+1},$ with $c\in\mathbb{F}_{q}^{\ast},$ over the finite field $\mathbb{F}_{q^2}$.

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Josimar J. R. Aguirre, Abílio Lemos, Victor G. L. Neumann. 2024-08-16. On the functional graph of $f(X)=X(X^{q-1}-c)^{q+1},$ over quadratic extensions of finite fields. https://arxiv.org/abs/2408.08957

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