论文标题

最佳本地可回收代码的结构

A construction of optimal locally recoverable codes

论文作者

Li, Xiaoru, Heng, Ziling

论文摘要

本地可回收的代码广泛用于分布式和云存储系统。本文的目的是用椭圆形多项式介绍近MDS代码的结构,然后确定代码的位置。事实证明,近MDS代码及其双重代码既是距离最佳的,又是最佳的局部可回收代码。本地可回收代码的长度与文献中的已知代码不同。

Locally recoverable codes are widely used in distributed and cloud storage systems. The objective of this paper is to present a construction of near MDS codes with oval polynomials and then determine the locality of the codes. It turns out that the near MDS codes and their duals are both distance-optimal and dimension-optimal locally recoverable codes. The lengths of the locally recoverable codes are different from known ones in the literature.

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