학술논문

The arbitrarily varying wiretap channel - secret randomness, stability and super-activation
Document Type
Conference
Source
2015 IEEE International Symposium on Information Theory (ISIT) Information Theory (ISIT), 2015 IEEE International Symposium on. :2151-2155 Jun, 2015
Subject
Communication, Networking and Broadcast Technologies
Signal Processing and Analysis
Forensics
Language
ISSN
2157-8095
2157-8117
Abstract
We study the arbitrarily varying wiretap channel (AVWC) under average error criterion when external common randomness (CR) can be used between the legitimate parties. We consider three scenarios: In the first one the CR is known to the eavesdropper, in the second it is not known to her and in the third there is no CR available. For the second scenario, we prove a complete coding theorem. For the third scenario it is known that the capacity function is discontinuous. We prove that it is nonetheless stable in the sense of being continuous around its positivity points. We characterize the points of discontinuity in terms of continuous functions. We then give a complete characterization of those pairs of AVWCs whose capacity can be super-activated in the unassisted third case - in terms of the capacity function describing the first case.