A construction of optimal locally recoverable codes

Xiaoru Li; Ziling Heng

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arXiv · 2204.12034

A construction of optimal locally recoverable codes

Xiaoru Li·Ziling Heng

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Abstract

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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Xiaoru Li, Ziling Heng. 2022-04-26. A construction of optimal locally recoverable codes. https://arxiv.org/abs/2204.12034

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