3 papers
cs.IT2025
A Construction of Infinite Families of Good Self-Orthogonal Quasi-Cyclic Codes
Gustavo Terra Bastos, Angelynn Álvarez, Cameron Williams
Quasi-cyclic codes have been recently employed in the constructions of quantum error-correcting codes. In this paper, we propose a construction of infinite families of quasi-cyclic…
cs.IT2024
Locally recoverable algebro-geometric codes from projective bundles
Konrad Aguilar, Angelynn Álvarez, René Ardila +3
A code is locally recoverable when each symbol in one of its code words can be reconstructed as a function of other symbols. We use bundles of projective spaces over a line to…
cs.IT2024
A Construction of Optimal Quasi-cyclic Locally Recoverable Codes using Constituent Codes
Gustavo Terra Bastos, Angelynn Alvarez, Zachary Flores +1
A locally recoverable code of locality over is a code where every coordinate of a codeword can be recovered using the values of at most other coordinates o…