C. Carvalho

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20062026

most citedProjective nested cartesian codes

15 citations · 34 across the 13 of their papers we have counts for

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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…