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<p>We study the algebraic structures of a class of quasi-cyclic codes of index two, and determine their generators and Hermitian dual codes. In addition, we propose conditions for their Hermitian self-orthogonality to construct quantum stabilizer codes via quantum Hermitian construction. As an application, we obtain a class of binary quantum stabilizer codes with good parameters, including 10 record-breaking binary quantum stabilizer codes.</p>

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Construction of New Quantum Stabilizer Codes From Quasi-cyclic Codes Of Index Two

  • 期刊论文

  • 发表日期：

    2025年9月22日

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  • Zhuo Li,
  • Zhenhui Zhang,
  • Lijuan Xing

摘要

We study the algebraic structures of a class of quasi-cyclic codes of index two, and determine their generators and Hermitian dual codes. In addition, we propose conditions for their Hermitian self-orthogonality to construct quantum stabilizer codes via quantum Hermitian construction. As an application, we obtain a class of binary quantum stabilizer codes with good parameters, including 10 record-breaking binary quantum stabilizer codes.