Dictators are most informative

Vu Khac Ky; Tuan Tran

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arXiv · 2609.24184

Dictators are most informative

Vu Khac Ky·Tuan Tran

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Abstract

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.

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Vu Khac Ky, Tuan Tran. 2026-09-21. Dictators are most informative. https://arxiv.org/abs/2609.24184

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