A Simplified Coding Scheme for the Broadcast Channel with Complementary Receiver Side Information under Individual Secrecy Constraints

This paper simplifies an existing coding scheme for the two-receiver discrete memoryless broadcast channel with complementary receiver side information where there is a passive eavesdropper and individual secrecy is required. The existing coding scheme is simplified in two steps by replacing Wyner’s secrecy coding with Carleial-Hellman’s secrecy coding as well as removing additional randomness in the common satellite codeword. This simplified scheme retains the existing achievable individual secrecy rate region. Not least, the simplified scheme requires fewer message splits and fewer random components.