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Necessity of the singleton-partition condition for omnivocal communication
Omnivocality conjecture. Omnivocal communication is necessary for achieving SK capacity if and only if the singleton partition is the unique minimizer for $\mathbf{I}(X_{[m]})$ .
openFrom papersinformation-theory multiterminal-sources secret-key-agreement
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Necessity of the singleton-partition condition for omnivocal communication