3 papers
cs.IT2026
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…
math.NT2024
Existence of normal elements with prescribed norms
Arthur Fernandes, Daniel Panario, Lucas Reis
For each positive integer , let be the unique -degree extension of the finite field with elements, where is a prime power. It is known…
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…