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When studying the information leakage in programs or protocols, a naturalquestion arises: "what is the worst case scenario?". This problem ofidentifying the maximal leakage can be seen as a channel capacity problem inthe information theoretical sense. In this paper, by combining two powerfultheories: Information Theory and Karush-Kuhn-Tucker conditions, we demonstratea very general solution to the channel capacity problem. Examples are given toshow how our solution can be applied to practical contexts of programs andanonymity protocols, and how this solution generalizes previous approaches tothis problem.

Studying Maximum Information Leakage Using Karush-Kuhn-Tucker Conditions