Improving the dimension bound of Hermitian Lifted Codes

Austin Allen, Eric Pabón-Cancel, Fernando Piñero-González, Leslie Polanco

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 via elementary univariarte polynomial division. They gave an asymptotic rate estimate of $0.007$. We improve the rate estimate to $0.1$ using univariate polynomial division

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