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arXiv · 2501.12984

Lower Bounds on the Sub-Packetization of Optimal-Access MSR Codes for Multiple-Node Repair

Lewen Wang·Zihao Zhang·Sihuang Hu
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Abstract

We establish lower bounds on the sub-packetization of optimal-access MSR codes in the context of multiple-node failures. These bounds generalize the tight bounds for single-node failure presented by Balaji et al. (IEEE Transactions on Information Theory, vol. 68, no. 10, 2022). Moreover, we utilize generating functions to provide a more refined analysis, further strengthening these bounds.

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Lewen Wang, Zihao Zhang, Sihuang Hu. 2025-01-22. Lower Bounds on the Sub-Packetization of Optimal-Access MSR Codes for Multiple-Node Repair. https://arxiv.org/abs/2501.12984

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