Author

Tuan Tran

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Preprint Sep 2026

Dictators are most informative

We prove the Courtade-Kumar conjecture: among all Boolean functions $f\colon \{-1,1\}^n\to\{-1,1\}$, a dictator retains the most information about a uniformly random input observed through independent binary noise.

K. Vu, Tuan Tran · 2 citations