Edgar Mart'inez-Moro

collaborators

4 papers

cs.IT2025

Duality on group algebras over finite chain rings: applications to additive group codes

Maryam Bajalan, Javier de la Cruz, Alexandre Fotue Tabue +1

Given a finite group $G$ and an extension of finite chain rings $S ∣ R$ , one can consider the group rings $S = S [G]$ and $R = R [G]$ . The group ring $S$ …

cs.IT2025

Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings

Sanjit Bhowmick, Kuntal Deka, Alexandre Fotue Tabue +1

This paper investigates the algebraic structure of additive complementary pairs of cyclic codes over a finite commutative ring. We demonstrate that for every additive complementary…

cs.IT2025

On polycyclic linear and additive codes associated to a trinomial over a finite chain ring

Abdelghaffar Chibloun, Hassan Ou-azzou, Edgar Martínez-Moro +1

In this paper, we investigate polycyclic codes associated with a trinomial of arbitrary degree $n$ over a finite chain ring $R .$ We extend the concepts of $n$ -isometry and $n$ …

cs.IT2024

Galois hulls of constacyclic codes over affine algebra rings

Indibar Debnath, Habibul Islam, Edgar Martínez-Moro +1

Let $A$ the affine algebra given by the ring $F_{q} [X_{1}, X_{2}, \dots, X_{ℓ}] / I$ , where $I$ is the ideal $⟨ t_{1} (X_{1}), t_{2} (X_{2}), \dots, t_{ℓ} (X_{ℓ})⟩$ …