John H. Castillo

collaborators

3 papers

cs.IT2026

Operations on binary linear codes and their associated graphs

John H. Castillo, Lisbeth D. Delgado-OrdoÃ±ez, Alexander HolguÃn-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.NT2025

$S_{h}$ -sets and linear codes over $F_{q}$

Viviana Carolina Guerrero Pantoja, John H. Castillo, Carlos Alberto Trujillo Solarte

Let $(G, +)$ be an Abelian group. Given $h \in Z^{+}$ , a non-empty subset $A$ of $G$ is called an $S_{h}$ -set if all the sums of $h$ distinct elements of $A$ are different. We e…

math.RA2025

Cayley unitary elements in group algebras under oriented involutions

John H. Castillo, Yzel Wlly GÃ³mez-EspÃndola, Alexander HolguÃn-Villa

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

Operations on binary linear codes and their associated graphs

Sh​-sets and linear codes over Fq​

Cayley unitary elements in group algebras under oriented involutions

$S_{h}$ -sets and linear codes over $F_{q}$