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arXiv · 2304.08747

Rack-aware minimum-storage regenerating codes with optimal access

Jiaojiao Wang·Zitan Chen
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Abstract

We derive a lower bound on the amount of information accessed to repair failed nodes within a single rack from any number of helper racks in the rack-aware storage model that allows collective information processing in the nodes that share the same rack. Furthermore, we construct a family of rack-aware minimum-storage regenerating (MSR) codes with the property that the number of symbols accessed for repairing a single failed node attains the bound with equality for all admissible parameters. Constructions of rack-aware optimal-access MSR codes were only known for limited parameters. We also present a family of Reed-Solomon (RS) codes that only require accessing a relatively small number of symbols to repair multiple failed nodes in a single rack. In particular, for certain code parameters, the RS construction attains the bound on the access complexity with equality and thus has optimal access.

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Jiaojiao Wang, Zitan Chen. 2023-04-18. Rack-aware minimum-storage regenerating codes with optimal access. https://arxiv.org/abs/2304.08747

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