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On the functional graph of $f(X)=X(X^{q-1}-c)^{q+1},$ over quadratic extensions of finite fields by Aguirre, Josimar J. R.; Lemos, Abílio; Neumann, Victor G. L. is a scholarly article available to read on EtoBox.

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

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

Author

Aguirre, Josimar J. R.; Lemos, Abílio; Neumann, Victor G. L.

Published

2024

Language

EN