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Secure Network Coding for Multiple Unicast: On the Case of Single Source

  • Gaurav Kumar AgarwalEmail author
  • Martina Cardone
  • Christina Fragouli
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10681)

Abstract

This paper considers multiple unicast wireline noiseless networks where a single source wishes to transmit independent messages to a set of legitimate destinations. The primal goal is to characterize the secure capacity region, where the exchanged messages have to be secured from a passive external eavesdropper that has unbounded computational capabilities, but limited network presence. The secure capacity region for the case of two destinations is characterized and it is shown to be a function of only the min-cut capacities and the number of edges the eavesdropper wiretaps. A polynomial-time two-phase scheme is then designed for a general number of destinations and its achievable secure rate region is derived. It is shown that the secure capacity result for the two destinations case is not reversible, that is, by switching the role of the source and destinations and by reversing the directions of the edges, the secure capacity region changes.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Gaurav Kumar Agarwal
    • 1
    Email author
  • Martina Cardone
    • 1
  • Christina Fragouli
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of California Los AngelesLos AngelesUSA

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