Abstract:We determine the exact value of the optimal symmetric rate point in the Dueck zero-error capacity region of the binary adder channel with complete feedback. Our motivation is a problem in quantitative group testing. Given a set of n elements two of which are defective, the quantitative group testing problem asks for the identification of these two defectives through a series of tests. Each test gives the number of defectives contained in the tested subset, and the outcomes of previous tests are assumed known a… Show more
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