In this paper, we construct codes for local recovery of erasures with high availability and constant-bounded rate from the Hermitian curve. These new codes, called Hermitian-lifted codes, are evaluation codes with evaluation set being the set of \({{\mathbb {F}}}_{q^2}\)-rational points on the affine curve. The novelty is in terms of the functions to be evaluated; they are a special set of monomials which restrict to low degree polynomials on lines intersected with the Hermitian curve. As a result, the positions corresponding to points on any line through a given point act as a recovery set for the position corresponding to that point.

在本文中，我们根据Hermitian曲线构造了具有高可用性和恒定界线速率的擦除局部恢复代码。这些新代码称为Hermitian提升代码，是评估代码，其评估集是仿射曲线上\（{{\ mathbb {F}}} _ {q ^ 2} \）个理性点的集合。新颖性在于要评估的功能；它们是一组特殊的单项式，它限制在与Hermitian曲线相交的直线上的低次多项式。结果，与通过给定点的任何线上的点相对应的位置用作与该点相对应的位置的恢复集。