Cryptology ePrint Archive: Report 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 on $\ZZ_Q$ for smooth modulus $Q$, which is chosen-ciphertext secure both for privacy and authenticity. Our scheme is based on the error-free approximate GCD assumption.

Category / Keywords: homomorphic authenticated encryption, homomorphic MAC, homomorphic encryption

Date: received 5 Nov 2013, last revised 5 Nov 2013

Contact author: aaramyun at unist ac kr

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Version: 20131107:055049 (All versions of this report)

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