2 problems
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Optimality of the straightforward Gelfand–Pinsker scheme for compound channels
Optimality conjecture. The straightforward extension of the Gelfand–Pinsker achievability scheme to the compound channel problem is optimum.
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Pareto-frontier conjecture for the opportunistic error exponent region
Pareto-frontier conjecture. No coding scheme can achieve a better error exponent; equivalently, the displayed vector is the Pareto frontier of the error-exponent region.