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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 \(\frac{1}{3}\) .

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Quantum CSS Duadic and Triadic Codes: New Insights and Properties

  • 会议论文

  • 发表日期：

    2025年

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  • Reza Dastbasteh,
  • Olatz Sanz Larrarte,
  • Josu Etxezarreta Martinez,
  • Antonio deMarti iOlius,
  • Javier Oliva del Moral,
  • Pedro Crespo Bofill

摘要

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 \(\frac{1}{3}\) .