6 problems
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Conjecture that the covertness metric does not affect sub-exponential random-slot capacity
Covertness-metric conjecture. For sub-exponential random slot selection, the choice of covertness metric has no impact on the covert-capacity result.
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Conjecture that refined relative-entropy bounds recover the square-root-of-two gap factor
Achievability-refinement conjecture. The relative-entropy bound used in the achievability proof can be refined so as to recover the desired factor of .
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Conjecture that the converse is tight for covert capacity with sub-exponential random slot selection
Tightness conjecture. The converse bound is tight and therefore equals the covert capacity.
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Conjecture that the converse bound equals the covert capacity under sub-exponential random slot selection
Capacity-bound conjecture. The upper bound on the covert capacity obtained in this work is the correct covert capacity.
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The two-point OOK optimality conjecture for covert communication
Let denote the covert capacity of the non-coherent fast Rayleigh-fading channel, and let an input distribution be represented by its mass points, with…
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The two-fixed-mass-point conjecture for covert capacity
Consider a non-coherent fast Rayleigh-fading channel with an amplitude-constrained input distribution, where the input distribution is discrete and has one mass point at zero. Two-…