Paper 2008/267 Original: eprint.iacr.org/2008/267 ↗

Deterministic Encryption: Definitional Equivalences and Constructions without Random Oracles

Mihir Bellare
Marc Fischlin
Adam O'Neill
Thomas Ristenpart
Abstract

We strengthen the foundations of deterministic public-key encryption via definitional equivalences and standard-model constructs based on general assumptions. Specifically we consider seven notions of privacy for deterministic encryption, including six forms of semantic security and an indistinguishability notion, and show them all equivalent. We then present a deterministic scheme for the secure encryption of uniformly and independently distributed messages based solely on the existence of trapdoor one-way permutations. We show a generalization of the construction that allows secure deterministic encryption of independent high-entropy messages. Finally we show relations between deterministic and standard (randomized) encryption.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2013-01-02: last updated
2008-06-18: published
Short URL
https://ia.cr/2008/267
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/267,
      author = {Mihir Bellare and Marc Fischlin and Adam O'Neill and Thomas Ristenpart},
      title = {Deterministic Encryption: Definitional Equivalences and Constructions without Random Oracles},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/267},
      year = {2008},
      url = {https://eprint.iacr.org/2008/267}
}
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