On the binary adder channel with complete feedback, with an application to quantitative group testing

We determine the exact value of optimal symmetric rate point (r, r) in Dueck zero-error capacity region binary adder channel with complete feedback. proved that average r = h(1/2-?) ? 0.78974, where h(?) is entropy function and ? 1/(2 log2(2 + ?3)). Our motivation a problem quantitative group testing. Given set n elements two which are defective, testing asks for identification these defectives through series tests. Each test gives number contained tested subset, outcomes previous tests assumed known at time designing current test. establish minimum asymptotic to (log2 n)/r as ? ?.