Joaquim Borges

activity

20232025

collaborators

3 papers

math.CO2025

On maximum distance separable and completely regular codes

Joaquim Borges, Josep Rifà, Victor Zinoviev

We investigate when a maximum distance separable ( $M D S$ ) code over $F_{q}$ is also completely regular ( $C R$ ). For lengths $n = q + 1$ and $n = q + 2$ we provide a complete classification of…

cs.IT2024

On completely regular self-dual codes with covering radius $ρ \leq 3$

J. Borges, V. A. Zinoviev

We give a complete classification of self-dual completely regular codes with covering radius $ρ \leq 3$ . For $ρ = 1$ the results are almost trivial. For $ρ = 2$ , by using properties of…

cs.IT2023

On the classification of completely regular codes with covering radius two and antipodal dual

J. Borges, D. V. Zinoviev, V. A. Zinoviev

We classify all linear completely regular codes which have covering radius $ρ = 2$ and whose dual are antipodal. For this, we firstly show several properties of such dual codes, whi…

On maximum distance separable and completely regular codes

On completely regular self-dual codes with covering radius ρ≤3

On the classification of completely regular codes with covering radius two and antipodal dual

On completely regular self-dual codes with covering radius $ρ \leq 3$