Vulnerability of MRD-Code-based Universal Secure Network Coding against Stronger Eavesdroppers

  • SHIOJI Eitaro
    Dept. of Communications and Integrated Systems, Tokyo Institute of Technology
  • MATSUMOTO Ryutaroh
    Dept. of Communications and Integrated Systems, Tokyo Institute of Technology
  • UYEMATSU Tomohiko
    Dept. of Communications and Integrated Systems, Tokyo Institute of Technology

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Abstract

Silva et al. proposed a universal secure network coding scheme based on MRD codes, which can be applied to any underlying network code. This paper considers a stronger eavesdropping model where the eavesdroppers possess the ability to re-select the tapping links during the transmission. We give a proof for the impossibility of attaining universal security against such adversaries using Silva et al.'s code for all choices of code parameters, even with a restricted number of tapped links. We also consider the cases with restricted tapping duration and derive some conditions for this code to be secure.

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