Vulnerability of MRD-Code-based Universal Secure Network Coding against Stronger Eavesdroppers
Eitaro Shioji, Ryutaroh Matsumoto, Tomohiko Uyematsu · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2010
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.