  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.
