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Perfect Secrecy in the Wild: A Characterization

Author

Listed:
  • Costas Cavounidis
  • Massimiliano Furlan
  • Alkis Georgiadis-Harris

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.

Suggested Citation

  • Costas Cavounidis & Massimiliano Furlan & Alkis Georgiadis-Harris, 2025. "Perfect Secrecy in the Wild: A Characterization," Papers 2506.12416, arXiv.org.
    • Handle: RePEc:arx:papers:2506.12416
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    File URL: http://arxiv.org/pdf/2506.12416
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