Quantum error-correcting codes from Algebraic Geometry codes of Castle type
Information Theory
2016-06-30 v3 Algebraic Geometry
math.IT
Abstract
We study Algebraic Geometry codes producing quantum error-correcting codes by the CSS construction. We pay particular attention to the family of Castle codes. We show that many of the examples known in the literature in fact belong to this family of codes. We systematize these constructions by showing the common theory that underlies all of them.
Cite
@article{arxiv.1604.07193,
title = {Quantum error-correcting codes from Algebraic Geometry codes of Castle type},
author = {Carlos Munuera and Wanderson Tenório and Fernando Torres},
journal= {arXiv preprint arXiv:1604.07193},
year = {2016}
}
Comments
18 pages. Final version