Quantum codes from a new construction of self-orthogonal algebraic geometry codes
Algebraic Geometry
2025-01-17 v2 Information Theory
math.IT
Abstract
We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes, which greatly extends the class of a previous paper due to Munuera, Ten\'orio and Torres. These results demonstrate that there is a lot more scope for constructing self-orthogonal AG codes than was previously known.
Keywords
Cite
@article{arxiv.1907.05645,
title = {Quantum codes from a new construction of self-orthogonal algebraic geometry codes},
author = {Fernando Hernando and Gary McGuire and Francisco Monserrat and Julio José Moyano-Fernández},
journal= {arXiv preprint arXiv:1907.05645},
year = {2025}
}