V. Neumann

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20092025

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math.NT2025

Effective existence of primitive k-normal elements via affine spaces

Josimar J. R. Aguirre, Sarah F. M. Mazzini, Victor G. L. Neumann

Let $F_{q^{n}}$ be the finite field with $q^{n}$ elements. An element $α \in F_{q^{n}}$ is $k$ -normal over $F_{q}$ if $α$ and its conjugates span an $\mathbb{F}_q…

math.NT2024

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

Let $F_{q}$ 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 $c \in F_{q}^{*},$ over…

Effective existence of primitive k-normal elements via affine spaces

On the functional graph of f(X)=X(Xq−1−c)q+1, over quadratic extensions of finite fields

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