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Bibliographic Details
Main Authors: Cavounidis, Costas, Furlan, Massimiliano, Georgiadis-Harris, Alkis
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.12416
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author Cavounidis, Costas
Furlan, Massimiliano
Georgiadis-Harris, Alkis
author_facet Cavounidis, Costas
Furlan, Massimiliano
Georgiadis-Harris, Alkis
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_12416
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Perfect Secrecy in the Wild: A Characterization
Cavounidis, Costas
Furlan, Massimiliano
Georgiadis-Harris, Alkis
Theoretical Economics
Computer Science and Game Theory
Information Theory
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.
title Perfect Secrecy in the Wild: A Characterization
topic Theoretical Economics
Computer Science and Game Theory
Information Theory
url https://arxiv.org/abs/2506.12416