Optimal \((2,\delta)\) Locally Repairable Codes via Punctured Simplex Codes

Locally repairable codes (LRCs) have attracted a lot of attention due to their applications in distributed storage systems. In this paper, we provide new constructions of optimal \((2, \delta)\)-LRCs over \(\mathbb{F}_q\) with flexible parameters. Firstly, employing techniques from finite geometry,...

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Veröffentlicht in:	arXiv.org 2024-06
Hauptverfasser:	Gao, Yuan, Fang, Weijun, Xu, Jingke, Wang, Dong, Hu, Sihuang
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Information Theory Fields (mathematics) Mathematics - Information Theory Polynomials Storage systems
Online-Zugang:	Volltext
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