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
翻译:本文通过初等一元多项式除法,改进了López、Malmskog、Matthews、Piñero和Wooters提出的Hermitian提升码LRCs构造的维度和最小距离界。他们给出的渐近率估计为0.007。我们利用一元多项式除法将率估计改进至0.1。