Secure Regenerating Codes Based on Rashmi-Shah-Kumar MBR Codes

In this paper, we present a construction of (n, k, d,m) secure regenerating codes for distributed storage systems against eavesdroppers that can observe either data stored in at most m storage nodes or downloaded data for repairing at most m failed nodes in a network where m < k ≤ d ≤ n − 1. The (n, k, d,m) secure regenerating code is based on an (n, k, d) minimum bandwidth regenerating (MBR) code, which was proposed by Rashmi, Shah and Kumar as optimal exact-regenerating codes, for all values of the parameters (n, k, d). The (n, k, d,m) secure regenerating codes have the security as a secret sharing scheme such that even if an eavesdropper knows either data stored in at most m storage nodes or downloaded data for repairing at most m failed nodes, no information about data leaks to the eavesdropper. key words: secret sharing, secure regenerating code, distributed storage