Network equivalence in the presence of an eavesdropper

Theodoros K. Dikaliotis, Hongyi Yao, Tracey Ho, Michelle Effros, Joerg Kliewer
2012 2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)  
We consider networks of noisy degraded wiretap channels in the presence of an eavesdropper. For the case where the eavesdropper can wiretap at most one channel at a time, we show that the secrecy capacity region, for a broad class of channels and any given network topology and communication demands, is equivalent to that of a corresponding network where each noisy wiretap channel is replaced by a noiseless wiretap channel. Thus in this case there is a separation between wiretap channel coding
more » ... each channel and secure network coding on the resulting noiseless network. We show with an example that such separation does not hold when the eavesdropper can access multiple channels at the same time, for which case we provide upper and lower bounding noiseless networks.
doi:10.1109/allerton.2012.6483322 dblp:conf/allerton/DikaliotisYHEK12 fatcat:fhqlfym3jbcfzcvmd5uerscygy