Elementary Constructions of Best Known Quantum Codes
Information Theory
2024-10-17 v1 math.IT
Quantum Algebra
Abstract
Recently, many good quantum codes over various finite fields have been constructed from codes over extension rings or mixed alphabet rings via some version of a Gray map. We show that most of these codes can be obtained more directly from cyclic codes or their generalizations over . Unless explicit benefits are demonstrated for the indirect approach, we believe that direct and more elementary methods should be preferred.
Cite
@article{arxiv.2410.12167,
title = {Elementary Constructions of Best Known Quantum Codes},
author = {Nuh Aydin and Trang T. T. Nguyen and Long B. Tran},
journal= {arXiv preprint arXiv:2410.12167},
year = {2024}
}