F. E. B. Mart'inez

collaborators

3 papers

math.NT2026

The dynamics of a function family over quadratic extensions of finite fields

Fabio E. Brochero MartÃnez, Hugo R. Teixeira

Let $F_{q}$ be the finite field with $q = p^{s}$ elements, where $p$ is an odd prime and $s$ a positive integer. In this paper, we define the function $f(X)=(cX^q+aX)(X^{q}-X)^{…

math.GR2025

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$

Danilo Vilela Avelar, Fabio Enrique Brochero MartÃnez, SÃ¡vio Ribas

Let $G$ be a finite group. A sequence over $G$ is a finite multiset of elements of $G$ , and it is called product-one if its terms can be ordered so that their product is the identi…

math.NT2025

Low-weight codewords in cyclic codes

We introduce a formula for determining the number of codewords of weight 2 in cyclic codes and provide results related to the count of codewords with weight 3. Additionally, we est…

The dynamics of a function family over quadratic extensions of finite fields

On minimal product-one sequences of maximal length over the non-abelian group of order pq

Low-weight codewords in cyclic codes

On minimal product-one sequences of maximal length over the non-abelian group of order $pq$