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We furnish a procedure based on universal hash families (UHFs) that canconvert an error correcting coding scheme (ECC) of rate $R$ into a semanticallysecure wiretap coding scheme of rate $R - \xi$ where $\xi$ is a parameterderived from the eavesdropper's point-to-point channel. This conversion isshown to be polynomial time efficient with block length and is applicable toany channel. When an ECC is chosen, our procedure induces a wiretap codingscheme that is concrete and efficient as long as the ECC is also such. To provethis induced wiretap coding scheme is semantically secure, we have constructedbounds on the information leaked to the eavesdropper. Our construction is anupgrade of bounds from recent literature: the novelty here being that ourleakage bounds hold for any message distribution. Indeed, our wiretap procedureusing UHFs and our characterization of its semantic leakage is the first maincontribution of this work. The other main contribution of this work is asfollows. We apply the aforementioned procedure to a variety of wiretap channelsin order to show the procedure's efficacy, and as a result of suchapplications, our results establish new achievable semantically secure rates.

Semantic Security on Wiretap Channels using Universal Hashing with Fading Applications