English

Universal Encryption of Individual Sequences Under Maximal Leakage

Information Theory 2025-05-01 v1 math.IT

Abstract

We consider the Shannon cipher system in the framework of individual sequences and finite-state encrypters under the metric of maximal leakage of information. A lower bound and an asymptotically matching upper bound on the leakage are derived, which lead to the conclusion that asymptotically minimum leakage can be attained by Lempel-Ziv compression followed by one-time pad encryption of the compressed bit-stream.

Cite

@article{arxiv.2504.21321,
  title  = {Universal Encryption of Individual Sequences Under Maximal Leakage},
  author = {Neri Merhav},
  journal= {arXiv preprint arXiv:2504.21321},
  year   = {2025}
}

Comments

21 pages; submitted for publication

R2 v1 2026-06-28T23:16:16.500Z