Modular design to transform codes for the wiretap channel of type I into codes for the wiretap channel of type II

TL;DR

This paper presents a modular coding scheme that transforms wiretap channel type I codes into wiretap channel type II codes using concatenation, permutation, and encoding of permutations, maintaining performance metrics.

Contribution

The authors introduce a novel modular scheme that extends existing wiretap type I codes for use in wiretap type II channels without degrading performance.

Findings

No significant degradation in rate, error rate, or leakage.

Effective concatenation and permutation strategy.

Encoding of permutation choice preserves security.

Abstract

We construct a modular scheme which extends codes for wiretap channels of type I for use in wiretap channels of type II. This is done by using a concatenate and permute strategy, wherein multiple uses of the wiretap type I code are concatenated and then the joint sequence of symbols permuted. The choice of permutation is then encoded with a short code and appended to the transmitted sequence. Analysis shows essentially no degradation in operational parameters (rate, error rate, leakage) for the new code over the wiretap type II channel when compared to those of multiple uses of the original code over the wiretap type I channel.