5 problems
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ML-decoder refinement of the achievability bound for infinite constellations
Let denote the highest achievable normalized log-density at block length and error probability , and let and denote the Poltyrev…
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First- and second-order tightness of the achievability bound for nonstationary block erasure channels
Let denote the set of memoryless and nonstationary block erasure channels, and let … is asymptotically tight to first- and second-order over…
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Conjecture on sum-rate maximization with a small degrees-of-freedom margin
In a finite-blocklength secure communication system, let the degrees-of-freedom margin be small compared to the number of legitimate users. The sum-rate tradeoff conjecture. Focusi…
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The measurement-dependent channel conjecture for exponential terms in noisy non-adaptive twenty questions
Measurement-dependent channel conjecture. The additional exponential terms in the upper bound are fundamentally related to the measurement-dependent channel assumption underlying t…
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Second-order refinement of dispersion analysis for infinite constellations
Let be the block length, let be fixed, and let the highest achievable normalized log-density (NLD) be evaluated for an infinite constellation over a fading channel.…