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
Encoder $k$ informs a decoder of a source $X_k$ at rate $R_k$; $k=1,\dots, K$.
The decoder seeks to recover $X_0=f(X_1,\dots, X_K)$ with high probability. Do schemes exist with failure rate arbitrarily close to 0?
What aspect of this problem is not handled by the current state of the art in inf...