Homomorphic Authenticated Encryption Secure Against Chosen-Ciphertext Attack

Chihong Joo; Aaram Yun

Paper 2013/726

Homomorphic Authenticated Encryption Secure Against Chosen-Ciphertext Attack

Chihong Joo and Aaram Yun

Abstract

We study homomorphic authenticated encryption, where privacy and authenticity of data are protected simultaneously. We define homomorphic versions of various security notions for privacy and authenticity, and investigate relations between them. In particular, we show that it is possible to give a natural definition of IND-CCA for homomorphic authenticated encryption, unlike the case of homomorphic encryption. Also, we construct a homomorphic authenticated encryption scheme supporting arithmetic circuits, which is chosen-ciphertext secure both for privacy and authenticity. Our scheme is based on the error-free approximate GCD assumption.

Note: Security proof for general modulus Q is given, using the decisional EF-AGCD assumption.

Metadata

Available format(s): PDF
Publication info: Preprint. MINOR revision.
Keywords: homomorphic authenticated encryption homomorphic MAC homomorphic encryption
Contact author(s): aaramyun @ unist ac kr
History: 2014-01-28: last of 4 revisions; 2013-11-07: received; See all versions
Short URL: https://ia.cr/2013/726
License: CC BY

BibTeX

@misc{cryptoeprint:2013/726,
      author = {Chihong Joo and Aaram Yun},
      title = {Homomorphic Authenticated Encryption Secure Against Chosen-Ciphertext Attack},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/726},
      year = {2013},
      url = {https://eprint.iacr.org/2013/726}
}