Quantum error correcting codes (QECC) is becoming an increasingly important branch of coding theory. For classical block codes, a \href{codetables.de} {comprehensive database of best known codes} exists which is available online at \cite{codetables}. The same database contains data on best known quantum codes as well, but only for the binary field. There has been an increased interest in quantum codes over larger fields with many papers reporting such codes in the literature. However, to the best of our knowledge, there is no database of best known quantum codes for most fields. We established a new database of QECC that includes codes over $\mathbb{F}_{q^2}$ for $q\leq 29$. We also present several methods of constructing quantum codes from classical codes based on the CSS construction. We have found dozens of new quantum codes that improve the previously known parameters and also hundreds new quantum codes that did not exist in the literature.
翻译：量子错误校正代码( QECC) 正在成为一个日益重要的编码理论分支。 对于古典区块代码, 存在一个以\ cite{ codables} 在线提供的最佳已知代码数据库 。 同一数据库包含关于已知量子代码的数据, 但仅用于二进制域 。 对量子代码在较大领域的兴趣越来越浓厚, 许多文献在文献中报告了这种代码。 然而, 据我们所知, 大部分领域没有最已知的量子代码数据库 。 我们建立了一个新的 QECC 数据库, 其中包括 $\ mathbb{ F\ q ⁇ 2} $( $q\leq) $( 29美元) 的代码 。 我们还介绍了基于 CSS 构建的经典代码构建量子代码的几种方法 。 我们发现几十个新的量子代码改进了先前已知参数, 以及文献中没有的数百个新的量子代码 。
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