Quantum Stabilizer Codes from Maximal Curves
Information Theory
2013-11-13 v1 Algebraic Geometry
math.IT
Abstract
A curve attaining the Hasse-Weil bound is called a maximal curve. Usually classical error-correcting codes obtained from a maximal curve have good parameters. However, the quantum stabilizer codes obtained from such classical error-correcting codes via Euclidean or Hermitian self-orthogonality do not always possess good parameters. In this paper, the Hermitian self-orthogonality of algebraic geometry codes obtained from two maximal curves is investigated. It turns out that the stabilizer quantum codes produced from such Hermitian self-orthogonal classical codes have good parameters.
Cite
@article{arxiv.1311.2705,
title = {Quantum Stabilizer Codes from Maximal Curves},
author = {Lingfei Jin},
journal= {arXiv preprint arXiv:1311.2705},
year = {2013}
}