Alexander Holguín-Villa

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20222026

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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…

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…