2 citations · 2 across the 8 of their papers we have counts for
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On planar functions over
João Paulo Guardieiro, Adler Marques, Luciane Quoos +1
Let denote the finite field of order . For odd, we investigate the planarity over of the family $$ f_{E,A,B,C,D}(X) := EX^2+ AX^{q+1}+ BX^{…
A closed formula for the Geil-Matsumoto bound on numerical semigroups via Apéry sets
Adler Marques, Erik Mendoza, Luciane Quoos +1
The Geil-Matsumoto bound (GM bound) constrains the number of rational points on a curve over a finite field in terms of the Weierstrass semigroup of any of the points on the curve.…
On the existence of pairs of primitive and normal elements over finite fields
Cícero Carvalho, João Paulo Guardieiro, Victor G. L. Neumann +1
Let be a finite field with elements, and let and be positive integers. Given polynomials with $\textrm{deg…
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 elements and we give a sufficient c…