Data secrecy in distributed storage systems under exact repair

Published

Journal Article

The problem of securing data against eavesdropping in distributed storage systems is studied. The focus is on systems that use linear codes and implement exact repair to recover from node failures. The maximum file size that can be stored securely is determined for systems in which all the available nodes help in repair (i.e., repair degree d = n-1, where n is the total number of nodes) and for any number of compromised nodes. Similar results in the literature are restricted to the case of at most two compromised nodes. Moreover, new explicit upper bounds are given on the maximum secure file size for systems with d < n - 1. The key ingredients for the contribution of this paper are new results on subspace intersection for the data downloaded during repair. The new bounds imply the interesting fact that the maximum amount of data that can be stored securely decreases exponentially with the number of compromised nodes. Whether this exponential decrease is fundamental or is a consequence of the exactness and linearity constraints remains an open question. © 2013 IEEE.

Full Text

Duke Authors

Cited Authors

  • Goparaju, S; Rouayheb, SE; Calderbank, R; Poor, HV

Published Date

  • September 9, 2013

Published In

  • 2013 International Symposium on Network Coding, Netcod 2013

Digital Object Identifier (DOI)

  • 10.1109/NetCod.2013.6570831

Citation Source

  • Scopus