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arXiv · 2302.01557

Improving the dimension bound of Hermitian Lifted Codes

Austin Allen·Eric Pabón-Cancel·Fernando Piñero-González·Lesley Polanco
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Abstract

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.

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Austin Allen, Eric Pabón-Cancel, Fernando Piñero-González, Lesley Polanco. 2023-02-03. Improving the dimension bound of Hermitian Lifted Codes. https://arxiv.org/abs/2302.01557

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