Alexander Holguín-Villa

activity

20152026

collaborators

5 papers

cs.IT2026

Operations on binary linear codes and their associated graphs

John H. Castillo, Lisbeth D. Delgado-Ordoñez, Alexander Holguín-Villa

This manuscript addresses a connection between operations in coding theory and graph theory, as well as some operations in both areas. The concept of the Hasse diagram of a binary…

math.RA2025

Cayley unitary elements in group algebras under oriented involutions

John H. Castillo, Yzel Wlly Gómez-Espíndola, Alexander Holguín-Villa

Let $F$ be a real extension of $Q$ , $G$ a finite group and $F G$ its group algebra. Given both a group homomorphism $σ : G \to {\pm 1}$ (called an o…

math.RA2022

On Duo, Reversible and Symmetric Group Rings

Brayan S. Flórez-Burbano, Alexander Holguín-Villa, John H. Castillo

Let $R G$ denote the group ring of the torsion group $G$ over a commutative ring $R$ with identity. In this paper we present proofs of some statements that appear without to be prov…

cs.IT2022

A graphical representation of binary linear codes

Lisbeth Danyeli Delgado Ordoñez, John H. Castillo, Alexander Holguín-Villa

A binary $[n, k]$ -linear code $C$ is a $k$ -dimensional subspace of $F_{2}^{n}$ . For $x \in F_{2}^{n}$ , the set $x + C$ is a cose…

math.RA2015

Group identities on symmetric units under oriented involutions in group algebras

Alexander Holguín-Villa, John H. Castillo

Let $F G$ denote the group algebra of a locally finite group $G$ over the infinite field $F$ with $c ha r (F) \neq = 2$ , and let $\circledast:\mathbb{F}G\righta…