Paper 2022/697

Rate-1 Incompressible Encryption from Standard Assumptions

Pedro Branco, IT, IST University of Lisbon
Nico Döttling, Helmholtz Center for Information Security (CISPA)
Jesko Dujmovic, Helmholtz Center for Information Security (CISPA), Saarland University
Abstract

Incompressible encryption, recently proposed by Guan, Wichs and Zhandry (EUROCRYPT'22), is a novel encryption paradigm geared towards providing strong long-term security guarantees against adversaries with bounded long-term memory. Given that the adversary forgets just a small fraction of a ciphertext, this notion provides strong security for the message encrypted therein, even if, at some point in the future, the entire secret key is exposed. This comes at the price of having potentially very large ciphertexts. Thus, an important efficiency measure for incompressible encryption is the message-to-ciphertext ratio (also called the rate). Guan et al. provided a low-rate instantiation of this notion from standard assumptions and a rate-1 instantiation from indistinguishability obfuscation (iO). In this work, we propose a simple framework to build rate-1 incompressible encryption from standard assumptions. Our construction can be realized from, e.g. the DDH and additionally the DCR or the LWE assumptions.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
Keywords
Incompressible EncryptionPublic-Key EncryptionBounded StorageCCARate-1Standard Assumptions
Contact author(s)
pedrodemelobranco @ gmail com
nico doettling @ gmail com
jesko dujmovic @ cispa de
History
2023-03-24: last of 3 revisions
2022-06-01: received
See all versions
Short URL
https://ia.cr/2022/697
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/697,
      author = {Pedro Branco and Nico Döttling and Jesko Dujmovic},
      title = {Rate-1 Incompressible Encryption from Standard Assumptions},
      howpublished = {Cryptology ePrint Archive, Paper 2022/697},
      year = {2022},
      note = {\url{https://eprint.iacr.org/2022/697}},
      url = {https://eprint.iacr.org/2022/697}
}
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