English

Quantum codes from affine variety codes and their subfield-subcodes

Information Theory 2024-05-01 v2 math.IT

Abstract

We use affine variety codes and their subfield-subcodes for obtaining quantum stabilizer codes via the CSS code construction. With this procedure, we get codes with good parameters and a code whose parameters exceed the CSS quantum Gilbert-Varshamov bound given by Feng and Ma.

Keywords

Cite

@article{arxiv.1403.4060,
  title  = {Quantum codes from affine variety codes and their subfield-subcodes},
  author = {Carlos Galindo and Fernando Hernando},
  journal= {arXiv preprint arXiv:1403.4060},
  year   = {2024}
}
R2 v1 2026-06-22T03:28:09.538Z