  In this article we improve the dimension and minimum distance bound of the
the Hermitian Lifted Codes LRCs construction from L\'opez, Malmskog, Matthews,
Pi\~nero and Wooters (L\'opez et. al.) via elementary univariarte polynomial
division. They gave an asymptotic rate estimate of $0.007$. For the case where
$q$ is a power of $2$ we improve the rate estimate to $0.010$ using univariate
polynomial division.
