Edgar Mart'inez-Moro

activity

20232025

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cs.IT2023

$(σ, δ)$ -polycyclic codes in Ore extensions over rings

Maryam Bajalan, Ivan Landjev, Edgar Martínez-Moro +1

In this paper, we study the algebraic structure of $(σ, δ)$ -polycyclic codes, defined as submodules in the quotient module $S / S f$ , where $S = R [x, σ, δ]$ is the Ore extension ring, $f\i…

cs.IT2023

On $ℓ$ -MDS codes and a conjecture on infinite families of $1$ -MDS codes

Yang Li, Shixin Zhu, Edgar Martínez-Moro

The class of $ℓ$ -maximum distance separable ( $ℓ$ -MDS) codes {is a} generalization of maximum distance separable (MDS) codes {that} has attracted a lot of attention due to its…

(σ,δ)-polycyclic codes in Ore extensions over rings

On ℓ-MDS codes and a conjecture on infinite families of 1-MDS codes

$(σ, δ)$ -polycyclic codes in Ore extensions over rings

On $ℓ$ -MDS codes and a conjecture on infinite families of $1$ -MDS codes