On the Selective Opening Security of Practical Public-Key Encryption Schemes

Felix Heuer; Tibor Jager; Eike Kiltz; Sven Schäge

Paper 2016/342

On the Selective Opening Security of Practical Public-Key Encryption Schemes

Felix Heuer, Tibor Jager, Eike Kiltz, and Sven Schäge

Abstract

We show that two well-known and widely employed public-key encryption schemes -- RSA Optimal Asymmetric Encryption Padding (RSA-OAEP) and Diffie-Hellman Integrated Encryption Scheme (DHIES), instantiated with a one-time pad, -- are secure under (the strong, simulation-based security notion of) selective opening security against chosen-ciphertext attacks in the random oracle model. Both schemes are obtained via known generic transformations that transform relatively weak primitives (with security in the sense of one-wayness) to IND-CCA secure encryption schemes. We also show a similar result for the well-known Fujisaki-Okamoto transformation that can generically turn a one-way secure public key encryption system and a one-time pad into a INDCCA-secure public-key encryption system. We prove that selective opening security comes for free in these transformations. Both DHIES and RSA-OAEP are important building blocks in several standards for public key encryption and key exchange protocols. The Fujisaki-Okamoto transformation is very versatile and has successfully been utilised to build efficient lattice-based cryptosystems. The considered schemes are the first practical cryptosystems that meet the strong notion of simulation-based selective opening (SIM-SO-CCA) security.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: A major revision of an IACR publication in PKC 2015
DOI: 10.1007/978-3-662-46447-2_2
Contact author(s): felix heuer @ rub de
History: 2016-06-27: revised; 2016-03-31: received; See all versions
Short URL: https://ia.cr/2016/342
License: CC BY

BibTeX

@misc{cryptoeprint:2016/342,
      author = {Felix Heuer and Tibor Jager and Eike Kiltz and Sven Schäge},
      title = {On the Selective Opening Security of Practical Public-Key Encryption Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2016/342},
      year = {2016},
      doi = {10.1007/978-3-662-46447-2_2},
      url = {https://eprint.iacr.org/2016/342}
}