A permutation-based code for the wiretap channel

In this paper, we propose a permutation-based code for the wiretap channel. We begin with an arbitrary channel code from Alice to Bob and then perform a series of permutations to enlarge the code to achieve secrecy to Eve. We show that the proposed code achieves the same performance as the traditional random code, in the sense that it achieves the random coding bound for the probability of decoding error at Bob and an exponentially vanishing information leakage at Eve. Thus, the permutation-based code we propose offers an alternative method of code construction for the wiretap channel.