Information-theoretically Secure Regenerating Codes for Distributed   Storage
  Regenerating codes are a class of codes for distributed storage networks that provide reliability and availability of data, and also perform efficient node repair. Another important aspect of a distributed storage network is its security. In this paper, we consider a threat model where an eavesdropper may gain access to the data stored in a subset of the storage nodes, and possibly also, to the data downloaded during repair of some nodes. We provide explicit constructions of regenerating codes that achieve information-theoretic secrecy capacity in this setting. 
Nihar B. Shah, K. V. Rashmi and P. Vijay Kumar
cs.IT cs.DC cs.NI math.IT