Concatenated codes using Reed–Muller codes and bit-extension codes for a wiretap channel

In this study, a concatenated coding scheme based on Reed-Muller (RM) codes and bit-extension codes is proposed for equivocation of a wiretap channel. RM codes and their cosets are adopted for message encoding, and bit-extension codes are used to enhance the equivocation capability for a wiretapper´s channel. The average equivocation is discussed when only RM codes are used in the system, and the probability causing imperfect secrecy is also determined. Analytical results show that the proposed code can be used for the equivocation capability of wiretap channels and suggest a proper management over a wiretap channel.