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In this article we improve the dimension and minimum distance bound of thethe Hermitian Lifted Codes LRCs construction from L\'opez, Malmskog, Matthews,Pi\~nero and Wooters (L\'opez et. al.) via elementary univariarte polynomialdivision. 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 univariatepolynomial division.

Improving the dimension bound of Hermitian Lifted Codes