The community has been pursuing improvements in the cardinalities for constant dimensional codes (CDC for short) for the past decade. Lao et al. (IEEE Trans Inf Theory 69(7):4333–4344, 2023) has shown that mixed dimension subspace codes can be used to construct large constant dimension subspace codes. The exploration of the CDCs’ construction is transformed into finding mixed dimension/distance subspace codes with large dimension distributions. In this paper, we apply the parallel construction to this mixed dimension construction, which allows us to contribute approximately more than 80 new constant dimension codes.

中文翻译：

---

来自混合尺寸结构的恒定尺寸代码的平行结构

在过去的十年中，社区一直在寻求改进常量维度代码（简称 CDC）的基数。Lao et al. （IEEE Trans Inf Theory 69（7）：4333–4344， 2023） 表明混合维度子空间代码可用于构建大型恒定维度子空间代码。对 CDC 构造的探索转变为查找具有大维度分布的混合维度/距离子空间代码。在本文中，我们将 parallel 结构应用于这种混合维度结构，这使我们能够贡献大约 80 多个新的恒定维度代码。