J. D. L. Cruz

collaborators

4 papers

math.RA2026

Projector additive group codes

Javier de la Cruz

Let $F = F_{q}$ and let $K = F_{q^{m}}$ be a finite extension. An additive left group code is a left $F G$ -submodule of the group algebra $K G$ . In this paper, we introduce…

math.RA2026

Twisted group algebras of faithful split metacyclic groups $C_{p} ⋊ C_{m}$ over finite fields

Sanjit Bhowmick, Javier de la Cruz, Edgar MartÃnez-Moro

Let $F_{ℓ}$ be a finite field with $ℓ$ elements and let $G = C_{p} ⋊ C_{m}$ be a faithful split metacyclic group. In this paper, we develop a complete theory for the…

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 $S$ …

quant-ph2025

Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains

Javier de la Cruz, Carlos Diaz-Mejia, Sergio Lerma-Hernandez +1

We study thermalization in a disordered one-dimensional interacting bosonic system described by the Aubry-Andre model using full exact diagonalization. We find a broad chaotic ener…

Projector additive group codes

Twisted group algebras of faithful split metacyclic groups Cp​⋊Cm​ over finite fields

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

Diagnosing Thermalization via Participation Ratio in Disordered Bosonic Chains

Twisted group algebras of faithful split metacyclic groups $C_{p} ⋊ C_{m}$ over finite fields