
This paper revisits the problem of designing secure minimum storage regenerating (MSR) codes for distributed storage systems (DSS). A secure MSR code ensures that a DSS does not reveal the stored information to a passive eavesdropper. The eavesdropper is assumed to have access to the content stored on £i number of storage nodes in the system and the data downloaded during the bandwidth efficient repair of an additional £2 number of storage nodes. This paper combines the Gabidulin codes based precoding [1] and a new construction of MSR codes (without security requirements) by Ye and Barg [2] in order to obtain secure MSR codes. Such optimal secure MSR codes were previously known only in the setting where the eavesdropper was allowed to observe the repair of £2 nodes among a specific subset of k nodes [1], [3]. The secure coding scheme presented in this paper allows the eavesdropper to observe repair of any £ 2 out of n nodes in the system and characterizes the secrecy capacity of linear repairable MSR codes.
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