Explicit Construction of Minimum Storage Rack-Aware Regenerating Codes for All Parameters

Liyang Zhou, Zhifang Zhang

We consider the rack-aware storage system where $n=\bar{n}u$ nodes are organized in $\bar{n}$ racks each containing $u$ nodes, and any $k=\bar{k}u+u_0~(0\leq u_0n$ which is almost half of the field used in Chen\&Barg's construction. Besides, our code keeps the same access level as Chen\&Barg's low-access construction.

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