$\epsilon $ -MSR codes are a class of codes introduced to tradeoff sub-packetization level for a slight increase in the repair bandwidth for the case of single node failures. We introduce the framework of

$\epsilon $

-MSCR codes which allow for a similar tradeoff for the case of multiple node failures. We present a construction of

$\epsilon $

-MSCR codes, which can recover from two node failures, by concatenating a class of MSCR codes and scalar linear codes. We give a repair procedure to repair the

$\epsilon $

-MSCR codes in the event of two node failures and calculate the repair bandwidth for the same. We characterize the increase in repair bandwidth incurred by the method in comparison with the optimal repair bandwidth. Finally, we show the subpacketization level of

$\epsilon $

-MSCR codes scales logarithmically in the number of nodes.">

On Rack-Aware Cooperative Regenerating Codes and Epsilon-MSCR Codes (original) (raw)

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