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arXiv · 2309.01963

Generalized Simple Regenerating Codes: Trading Sub-packetization and Fault Tolerance

Zhengyi Jiang·Hao Shi·Zhongyi Huang·Bo Bai·Gong Zhang·Hanxu Hou
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Abstract

Maximum distance separable (MDS) codes have the optimal trade-off between storage efficiency and fault tolerance, which are widely used in distributed storage systems. As typical non-MDS codes, simple regenerating codes (SRCs) can achieve both smaller repair bandwidth and smaller repair locality than traditional MDS codes in repairing single-node erasure. In this paper, we propose {\em generalized simple regenerating codes} (GSRCs) that can support much more parameters than that of SRCs. We show that there is a trade-off between sub-packetization and fault tolerance in our GSRCs, and SRCs achieve a special point of the trade-off of GSRCs. We show that the fault tolerance of our GSRCs increases when the sub-packetization increases linearly. We also show that our GSRCs can locally repair any singe-symbol erasure and any single-node erasure, and the repair bandwidth of our GSRCs is smaller than that of the existing related codes.

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Zhengyi Jiang, Hao Shi, Zhongyi Huang, Bo Bai, Gong Zhang, Hanxu Hou. 2023-09-05. Generalized Simple Regenerating Codes: Trading Sub-packetization and Fault Tolerance. https://arxiv.org/abs/2309.01963

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