We construct maximally recoverable codes (corresponding to partial MDS codes) which are based on linearized Reed-Solomon codes. The new codes have a smaller field size requirement compared with known constructions. For certain asymptotic regimes, the constructed codes have order-optimal alphabet size, asymptotically matching the known lower bound.

翻译：我们根据线性Reed-Solomon代码构建了最大可回收代码(相当于部分MDS代码 ) 。 与已知的建筑工程相比,新代码的野外尺寸要求较小。 对于某些无药可救的系统,所构建的代码具有排序至最佳的字母大小,与已知的较低约束值不相上下。