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

Autor: Aguirre, Josimar J. R., Lemos, Abílio, Neumann, Victor G. L.
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $\mathbb{F}_{q^2}$.
Databáze: arXiv