Improving the dimension bound of Hermitian Lifted Codes
Information Theory
2023-10-13 v6 math.IT
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 . For the case where is a power of we improve the rate estimate to using univariate polynomial division.
Cite
@article{arxiv.2302.01557,
title = {Improving the dimension bound of Hermitian Lifted Codes},
author = {Austin Allen and Eric Pabón-Cancel and Fernando Piñero-González and Lesley Polanco},
journal= {arXiv preprint arXiv:2302.01557},
year = {2023}
}