Perfect Secrecy in the Wild: A Characterization
June 14, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Costas Cavounidis, Massimiliano Furlan, Alkis Georgiadis-Harris
arXiv ID
2506.12416
Category
econ.TH
Cross-listed
cs.GT,
cs.IT
Citations
0
Venue
arXiv.org
Last Checked
3 months ago
Abstract
Alice wishes to reveal the state $X$ to Bob, if he knows some other information $Y$ also known to her. If Bob does not, she wishes to reveal nothing about $X$ at all. When can Alice accomplish this? We provide a simple necessary and sufficient condition on the joint distribution of $X$ and $Y$. Shannon's result on the perfect secrecy of the one-time pad follows as a special case.
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