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arXiv · 1810.03980

Explicit optimal-length locally repairable codes of distance 5

Allison Beemer·Ryan Coatney·Venkatesan Guruswami·Hiram H. López·Fernando Piñero
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Abstract

Locally repairable codes (LRCs) have received significant recent attention as a method of designing data storage systems robust to server failure. Optimal LRCs offer the ideal trade-off between minimum distance and locality, a measure of the cost of repairing a single codeword symbol. For optimal LRCs with minimum distance greater than or equal to 5, block length is bounded by a polynomial function of alphabet size. In this paper, we give explicit constructions of optimal-length (in terms of alphabet size), optimal LRCs with minimum distance equal to 5.

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Allison Beemer, Ryan Coatney, Venkatesan Guruswami, Hiram H. López, Fernando Piñero. 2018-10-09. Explicit optimal-length locally repairable codes of distance 5. https://doi.org/10.1109/allerton.2018.8636018

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