John H. Castillo

activity

20112022

most citedOverpseudoprimes, and Mersenne and Fermat numbers as primover numbers

4 citations · 7 across the 10 of their papers we have counts for

collaborators

11 papers

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.RA2019

Normal group algebras

Alexander Holguín-Villa, John H. Castillo

Let $F G$ denote the group algebra of the group $G$ over the field $F$ with $c ha r (F) \neq = 2$ . Given both a homomorphism $σ : G \to {\pm 1}$ and a gro…

math.NT2017

The set of $k$ -units modulo $n$

John H. Castillo, Jhony Fernando Caranguay Mainguez

Let $R$ be a ring with identity, $U (R)$ the group of units of $R$ and $k$ a positive integer. We say that $a \in U (R)$ is $k$ -unit if $a^{k} = 1$ . Particularly, if t…

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…

math.NT2014

$q$ -pseudoprimality: A natural generalization of strong pseudoprimality

John H. Castillo, Gilberto García-Pulgarín, Juan Miguel Velásquez-Soto

In this work we present a natural generalization of strong pseudoprime to base $b$ , which we have called $q$ -pseudoprime to base $b$ . It allows us to present another way to define…