Achieving the perfect secrecy for the Gaussian wiretap channel with side information

This paper extends the Gaussian wiretap channel (GWC) model introduced by Leung-Yan-Cheong and Hellman (1978) to the Gaussian wiretap channel with side information (GWCSI) by adding an additive white Gaussian interference in the main channel, which is available to the encoder in advance. It can also be looked at as an extension of the dirty-paper channel (DPC) introduced by Costa (1983). We propose a coding strategy achieving perfect secrecy for the extended channel, called Gaussian wiretap channel with side information. The corresponding achievable rates with asymptotic perfect secrecy are obtained and compared to known upper and lower bounds.