D. Panario

collaborators

4 papers

cs.IT2026

Annihilator and twisted Euclidean duality for quasi-polycyclic codes

Tushar Bag, Edgar Martínez-Moro, Daniel Panario

Let $f \in F_{q} [x]$ be a monic polynomial of degree $m$ with $f (0) \neq = 0$ , and let $R = F_{q} [x] / ⟨ f ⟩$ . Under coefficient expansion, a quasi-polycyclic…

math.NT2024

Existence of normal elements with prescribed norms

Arthur Fernandes, Daniel Panario, Lucas Reis

For each positive integer $n$ , let $F_{q^{n}}$ be the unique $n$ -degree extension of the finite field $F_{q}$ with $q$ elements, where $q$ is a prime power. It is known…

cs.IT2024

Quantum Codes from Group Codes

Tushar Bag, Daniel Panario

We study linear codes and quantum error-correcting codes (QECCs) constructed from group rings over finite fields. Using the algebraic structure of group rings, we give a single fra…

cs.IT2024

Some New Non-binary Quantum Codes from One-generator Quasi-cyclic Codes

Tushar Bag, Hai Q Dinh, Daniel Panario

This article studies one-generator and two-generator quasi-cyclic codes over finite fields. We present two versions of necessary and sufficient conditions for the symplectic selfor…