On the functional graph of f(X)=c(X^q+1+aX^2) over quadratic extensions of finite fields

11/22/2021

∙

by   F. E. Brochero Martínez, et al.

∙

0

∙

share

Let 𝔽_q be the finite field with q elements and char(𝔽_q) odd. In this article we will describe completely the dynamics of the map f(X)=c(X^q+1+aX^2), for a={±1} and c∈𝔽_q^*, over the finite field 𝔽_q^2, and give some partial results for a∈𝔽_q^*∖{±1}.