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<p>In this paper, we provide a new method for constructing AEAQEC codes by means of the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\rho \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ρ</mi> </math></EquationSource> </InlineEquation>-optimal defining matrix-product (<InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\rho \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ρ</mi> </math></EquationSource> </InlineEquation>-OD MP) codes over finite fields. Firstly, CSS construction for AEAQEC codes has been modified to a new CSS construction. By means of this new CSS construction and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\rho \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ρ</mi> </math></EquationSource> </InlineEquation>-OD MP codes, concrete examples are presented to construct new AEAQEC codes of length 2<i>n</i>, 3<i>n</i> and 4<i>n</i>, respectively. In addition, our obtained AEQAEC codes have better parameters than the ones available in the literature.</p>

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A new method of constructing AEAQEC codes via \(\rho \)-OD MP codes

  • 期刊论文

  • 发表日期：

    2026年5月18日

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  • Jie Liu,
  • Peng Hu,
  • Xiusheng Liu

摘要

In this paper, we provide a new method for constructing AEAQEC codes by means of the \(\rho \) ρ -optimal defining matrix-product ( \(\rho \) ρ -OD MP) codes over finite fields. Firstly, CSS construction for AEAQEC codes has been modified to a new CSS construction. By means of this new CSS construction and \(\rho \) ρ -OD MP codes, concrete examples are presented to construct new AEAQEC codes of length 2n, 3n and 4n, respectively. In addition, our obtained AEQAEC codes have better parameters than the ones available in the literature.