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We consider a wiretap channel with an eavesdropper (Eve) and an honest butcurious relay (Ray). Ray and the destination (Bob) are full-duplex (FD)devices. Since we aim at not revealing information on the secret message to therelay, we consider the scaled compute-and-forward (SCF) where scaled latticecoding is used in the transmission by both the source (Alice) and Bob in orderto allow Ray to decode only a linear combination of the two messages. At thesame time Ray transmits artificial noise (AN) to confuse Eve. When Ray relaysthe decoded linear combination, Alice and Bob are transmitting AN against Eve.This can be a 5G cellular communication scenario where a mobile terminal (MT)aims at transmitting a secret message to a FD base station (BS), with theassistance of a network FD relay. With respect to existing literature theinnovations of this paper are: a) Bob and Ray are FD devices; b) Alice, Ray andBob transmit also AN; and c) the channel to Eve is not known to Alice, Bob andRay. For this scenario we derive bounds on both the secrecy outage probabilityunder Rayleigh fading conditions of the channels to Eve, and the achievablesecrecy-outage rates.

Secure Compute-and-Forward Transmission With Artificial Noise and Full-Duplex Devices