Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement
Information Theory
2024-05-01 v2 math.IT
Abstract
New stabilizer codes with parameters better than the ones available in the literature are provided in this work, in particular quantum codes with parameters and that are records. These codes are constructed with a new generalization of the Steane's enlargement procedure and by considering orthogonal subfield-subcodes --with respect to the Euclidean and Hermitian inner product-- of a new family of linear codes, the -affine variety codes.
Keywords
Cite
@article{arxiv.1503.00879,
title = {Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement},
author = {Carlos Galindo and Fernando Hernando and Diego Ruano},
journal= {arXiv preprint arXiv:1503.00879},
year = {2024}
}