Dihedral Quantum Codes
Quantum Physics
2025-05-06 v3 Cryptography and Security
Information Theory
math.IT
Abstract
We establish dihedral quantum codes of short block length, a class of CSS codes obtained by the lifted product construction. We present the code construction and give a formula for the code dimension, depending on the two classical codes that the CSS code is based on. We also give a lower bound on the code distance and construct an example of short dihedral quantum codes.
Keywords
Cite
@article{arxiv.2310.15092,
title = {Dihedral Quantum Codes},
author = {Nadja Willenborg and Martino Borello and Anna-Lena Horlemann and Habibul Islam},
journal= {arXiv preprint arXiv:2310.15092},
year = {2025}
}