New Constructions of Optimal Cyclic (r, δ) Locally Repairable Codes From Their Zeros

An (r, δ)-locally repairable code ((r, δ)-LRC for short) was introduced by Prakash et al. [14] for tolerating multiple failed nodes in distributed storage systems, which was a generalization of the concept of r-LRCs produced by Gopalan et al. [5]. An (r, δ)-LRC is said to be optimal if it achieves t...

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Veröffentlicht in:	IEEE transactions on information theory 2021-03, Vol.67 (3), p.1596-1608
Hauptverfasser:	Qiu, Jing, Zheng, Dabin, Fu, Fang-Wei
Format:	Artikel
Sprache:	eng
Schlagworte:	Distributed storage Generators Indexes Linear codes locally repairable codes Mathematics maximum distance separable (MDS) codes optimal cyclic LRCs Reed-Solomon codes Research and development singleton-like bounds Storage systems Technological innovation
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