On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
Information Theory
2024-05-01 v2 math.IT
Abstract
Many -ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal -ary linear codes. This result can be generalized to -ary linear codes, . We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to \cite{codet} and new -ary ones, with , improving others in the literature.
Keywords
Cite
@article{arxiv.2012.11998,
title = {On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes},
author = {Carlos Galindo and Fernando Hernando},
journal= {arXiv preprint arXiv:2012.11998},
year = {2024}
}