Rerandomizable RCCA Encryption

Manoj Prabhakaran; Mike Rosulek

Paper 2007/119

Rerandomizable RCCA Encryption

Manoj Prabhakaran and Mike Rosulek

Abstract

We give the first perfectly rerandomizable, Replayable-CCA (RCCA) secure encryption scheme, positively answering an open problem of Canetti et al. [CRYPTO 2003]. Our encryption scheme, which we call the Double-strand Cramer-Shoup scheme, is a non-trivial extension of the popular Cramer-Shoup encryption. Its security is based on the standard DDH assumption. To justify our definitions, we define a powerful "Replayable Message Posting" functionality in the Universally Composable (UC) framework, and show that any encryption scheme that satisfies our definitions of rerandomizability and RCCA security is a UC-secure implementation of this functionality. Finally, we enhance the notion of rerandomizable RCCA security by adding a receiver-anonymity (or key-privacy) requirement, and show that it results in a correspondingly enhanced UC functionality. We leave open the problem of constructing a scheme that achieves this enhancement.

Note: Updated version includes an improved construction for the main encryption scheme

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. To appear in CRYPTO 2007
Contact author(s): mmp @ cs uiuc edu
History: 2007-08-17: last of 4 revisions; 2007-04-03: received; See all versions
Short URL: https://ia.cr/2007/119
License: CC BY

BibTeX

@misc{cryptoeprint:2007/119,
      author = {Manoj Prabhakaran and Mike Rosulek},
      title = {Rerandomizable RCCA Encryption},
      howpublished = {Cryptology ePrint Archive, Paper 2007/119},
      year = {2007},
      note = {\url{https://eprint.iacr.org/2007/119}},
      url = {https://eprint.iacr.org/2007/119}
}