Quantum CSS Duadic and Triadic Codes: New Insights and Properties
<|reference_start|>Quantum CSS Duadic and Triadic Codes: New Insights and Properties: 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 $\frac{1}{3}$.<|reference_end|>
@article{dastbasteh2024quantum,
    title={Quantum CSS Duadic and Triadic Codes: New Insights and Properties},
    author={Reza Dastbasteh, Olatz Sanz Larrarte, Josu Etxezarreta Martinez,
  Antonio deMarti iOlius, Javier Oliva del Moral, and Pedro Crespo Bofill},
    journal={arXiv preprint arXiv:2407.07753},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.07753},
    primaryClass={cs.IT math.IT}
}