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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 #mathNT

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

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 $\mathbb{F}_{q^2}$.

arxiv.org
August 21, 2024 at 3:10 AM · · feed2toot · 0 · 0 · 0
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