Optimal transceiver design for wiretap channels with side information

The wiretap channel models the communication scenario where two legitimate users want to communicate in such a way that an external wiretapper is kept ignorant. In this paper, the wiretap channel with side information is studied, where the wiretapper has additional side information about the transmitted message available for post-processing. The secrecy of the message is modeled by the decoding performance of the wiretapper. It is required for the wiretapper to have worst behavior of decoding performance regardless of the decoding strategy that is used. The secrecy capacity is derived and shown to be equal to the one of the classical wiretap channel without side information available at the wiretapper. Further, the corresponding optimal transceiver design is characterized.