In this paper, we study the construction of quantum codes by applying Steane-enlargement to codes from the Hermitian function field. We cover Steane-enlargement of both usual one-point Hermitian codes and of order bound improved Hermitian codes. In particular, the paper contains two constructions of quantum codes whose parameters are described by explicit formulae, and we show that these codes compare favourably to existing, comparable constructions in the literature. Furthermore, a number of the new codes meet or even exceed the quantum Gilbert–Varshamov bound.

中文翻译：

---

来自厄米函数场的量子代码的 Steane 放大

在本文中，我们通过对来自 Hermitian 函数场的代码应用 Steane 放大来研究量子代码的构造。我们涵盖了通常的单点 Hermitian 码和阶界改进 Hermitian 码的 Steane 放大。特别是，该论文包含两种量子代码结构，其参数由显式公式描述，我们表明这些代码与文献中现有的可比较结构相比具有优势。此外，许多新代码达到甚至超过了量子吉尔伯特-瓦尔沙莫夫界限。