Fabio Enrique Brochero Martínez

activity

20142023

most citedExtremal product-one free sequences in

C_{q} ⋊_{s} C_{m}

3 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2023

A note on Bass' conjecture

Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas

For a finite group $G$ , we denote by $d (G)$ and by $E (G)$ , respectively, the small Davenport constant and the Gao constant of $G$ . Let $C_{n}$ be the cyclic group of orde…

math.NT2016

On the multiplicative order of the roots of $b X^{q^{r} + 1} - a X^{q^{r}} + d X - c$

Fabio E. Brochero Martínez, Theodoulos Garefalakis, Lucas Reis +1

In this paper, we find a lower bound for the order of the group $⟨ θ + α ⟩ \subset F_{q}^{*}$ , where $α \in F_{q}$ , $θ$ is a generic root of the po…

math.NT2016★ 3 cited

Extremal product-one free sequences in $C_{q} ⋊_{s} C_{m}$

Fabio Enrique Brochero Martínez, Sávio Ribas

Let $G$ be a finite group, written multiplicatively. The Davenport constant of $G$ is the smallest positive integer $d$ such that every sequence of $G$ with $d$ elements has a non-…

cs.IT2014

Number of minimal cyclic codes with given length and dimension

F. E. Brochero Martínez

In this article, we count the quantity of minimal cyclic codes of length $n$ and dimension $k$ over a finite field $F_{q}$ , in the case when the prime factors of $n$ satisfy…

cs.IT2014

Explicit factorization of $x^{n} - 1 \in F_{q} [x]$

F. E. Brochero Martínez, C. R. Giraldo Vergara, L. Batista de Oliveira

Let $F_{q}$ be a finite field and $n$ a positive integer. In this article, we prove that, under some conditions on $q$ and $n$ , the polynomial $x^{n} - 1$ can be split into irred…

cs.IT2014

Weight enumerator of some irreducible cyclic codes

F. E. Brochero Martínez, C. R. Giraldo Vergara

In this article, we show explicitly all possible weight enumerators for every irreducible cyclic code of length $n$ over a finite field $F_{q}$ , in the case which each prime…

A note on Bass' conjecture

On the multiplicative order of the roots of bXqr+1−aXqr+dX−c

Extremal product-one free sequences in Cq​⋊s​Cm​

Number of minimal cyclic codes with given length and dimension

Explicit factorization of xn−1∈Fq​[x]

Weight enumerator of some irreducible cyclic codes

On the multiplicative order of the roots of $b X^{q^{r} + 1} - a X^{q^{r}} + d X - c$

Extremal product-one free sequences in $C_{q} ⋊_{s} C_{m}$

Explicit factorization of $x^{n} - 1 \in F_{q} [x]$