A Channel Under Simultaneous Jamming and Eavesdropping Attack—Correlated Random Coding Capacities Under Strong Secrecy Criteria

Abstract

We give a complete characterization of the correlated random coding secrecy capacity of arbitrarily varying wiretap channels (AVWCs). We apply two alternative strong secrecy criteria, which both lead to the same multi-letter formula. The difference of these criteria lies in the treatment of correlated randomness, they coincide in the case of uncorrelated codes. On the basis of the derived formula, we show that the correlated random coding secrecy capacity is continuous as a function of the AVWC, in contrast to the discontinuous uncorrelated coding secrecy capacity. In the proof of the secrecy capacity formula for correlated random codes, we apply an auxiliary channel which is compound from the sender to the intended receiver and arbitrarily varying from the sender to the eavesdropper.

Classical-quantum arbitrarily varying wiretap channel: common randomness assisted code and continuity

“…Our idea is similar to the results for classical arbitrarily varying wiretap channel in [39]: Applying Ahlswede's robustification technique (cf. [13]), we use the results of Section 3 to show the existence of a common randomness assisted quantum code.…”

“…Similar to the results for classical arbitrarily varying wiretap channel in [39], we limit the amount of common randomness.…”

“…To determine our capacity formula, we follow the idea of [13] and [39] in the classical cases: At first, we consider a mixed channel model that is called the arbitrarily varying classical-quantum wiretap channel. Then, we apply Ahlswede's robustification technique to establish the common randomness assisted secrecy capacity of an arbitrarily varying classical-quantum wiretap channel.…”

“…In [24] it has been shown when the message transmission capacity of an arbitrarily varying quantum channels is continuous. The condition for continuity of message transmission capacity of a classical arbitrarily varying wiretap channel has been given in [39].…”

Individual secrecy of fading homogeneous multiple access wiretap channel with successive interference cancellation

“…A great deal of research work addressed how to improve secrecy performance, some from the perspective of precoding and beamforming [7][8][9][10], some via the utilization of artificial noise or jamming [11][12][13][14], and some jointly applying these approaches [15][16][17][18]. Overall, the purpose of exploiting these techniques is to enlarge the capacity difference between main and eavesdropper channels.…”