Quantum CSS Duadic and Triadic Codes: New Insights and Properties
Information Theory
2024-07-11 v1 math.IT
Abstract
In this study, we investigate the construction of quantum CSS duadic codes with dimensions greater than one. We introduce a method for extending smaller splittings of quantum duadic codes to create larger, potentially degenerate quantum duadic codes. Furthermore, we present a technique for computing or bounding the minimum distances of quantum codes constructed through this approach. Additionally, we introduce quantum CSS triadic codes, a family of quantum codes with a rate of at least .
Cite
@article{arxiv.2407.07753,
title = {Quantum CSS Duadic and Triadic Codes: New Insights and Properties},
author = {Reza Dastbasteh and Olatz Sanz Larrarte and Josu Etxezarreta Martinez and Antonio deMarti iOlius and Javier Oliva del Moral and Pedro Crespo Bofill},
journal= {arXiv preprint arXiv:2407.07753},
year = {2024}
}