A Chain Based Syndrome Coding Scheme for Secure Communication in the Wiretap Channel

In this paper, we propose a chain based syndrome coding scheme for secure communication in a wiretap channel, where the main channel is noiseless and the eavesdropper channel is binary symmetric. The most relevant aspect of the scheme, which represents a generalization of Wyner´s conventional syndrome coding scheme, relates to the use of a chain of syndromes to encode the message. By using the eavesdropper decoder output equivocation to measure the security of the scheme, extensive analytic and numerical results demonstrate that the chain based syndrome coding scheme exhibits significantly lower information leakage than the conventional syndrome coding scheme.