6 citations · 16 across the 25 of their papers we have counts for
6 papers · 1 filter
The existence of -primitive points on curves using freeness
Stephen D. Cohen, Giorgos Kapetanakis, Lucas Reis
Let be the cyclic group of order , a divisor of and a divisor of . We introduce the set of -free elements of and derive a l…
On the functional graph of the power map over finite groups
Claudio Qureshi, Lucas Reis
In this paper we study the description of the functional graphs associated with the power maps over finite groups. We present a structural result which describes the isomorphism cl…
Counting distinct functional graphs from linear finite dynamical systems
Lucas Reis
Let be the finite field with elements and, for each positive integer , let be the number of non isomorphic functional graphs arising from $\mathbb F_q…
The additive index of polynomials over finite fields
Lucas Reis, Qiang Wang
In this paper we introduce the additive analogue of the index of a polynomial over finite fields. We study several problems in the theory of polynomials over finite fields in terms…
Permutation polynomials from a linearized decomposition
Lucas Reis, Qiang Wang
In this paper we discuss the permutational property of polynomials of the form over the finite field , where $L,…
On primitive elements of finite fields avoiding affine hyperplanes
Arthur Fernandes, Lucas Reis
Let be an integer and let be the finite field with elements, where is a prime power. Given -affine hyperplanes $\mathcal A_1, \ldots, \m…