V. Neumann

activity

20062022

most citedOn existence of some special pair of primitive elements over finite fields

2 citations · 2 across the 7 of their papers we have counts for

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math.NT2022

Pairs of $r$ -primitive and $k$ -normal elements in finite fields

Josimar J. R. Aguirre, Victor G. L. Neumann

Let $F_{q^{n}}$ be a finite field with $q^{n}$ elements and $r$ be a positive divisor of $q^{n} - 1$ . An element $α \in F_{q^{n}}^{*}$ is called $r$ -primitive if its multiplic…

math.NT2020

Existence of primitive $2$ -normal elements in finite fields

Victor G. L. Neumann, Josimar J. R. Aguirre

An element $α \in F_{q^{n}}$ is normal over $F_{q}$ if $B = {α, α^{q}, α^{q^{2}}, \dots, α^{q^{n - 1}}}$ forms a basis of $F_{q^{n}}$ as a vector space ove…

math.NT2020

On the existence of pairs of primitive and normal elements over finite fields

Cícero Carvalho, João Paulo Guardieiro, Victor G. L. Neumann +1

Let $F_{q^{n}}$ be a finite field with $q^{n}$ elements, and let $m_{1}$ and $m_{2}$ be positive integers. Given polynomials $f_{1} (x), f_{2} (x) \in F_{q} [x]$ with $\textrm{deg…

math.NT2020★ 2 cited

On existence of some special pair of primitive elements over finite fields

C. Carvalho, J. P. G. Sousa, V. G. L. Neumann +1

In this paper we generalize the results of Sharma, Awasthi and Gupta (see \cite{SAG}). We work over a field of any characteristic with $q = p^{k}$ elements and we give a sufficient c…

Pairs of r-primitive and k-normal elements in finite fields

Existence of primitive 2-normal elements in finite fields

On the existence of pairs of primitive and normal elements over finite fields

On existence of some special pair of primitive elements over finite fields

Pairs of $r$ -primitive and $k$ -normal elements in finite fields

Existence of primitive $2$ -normal elements in finite fields