Cryptology ePrint Archive: Report 2006/228

Non-Malleable Encryption: Equivalence between Two Notions, and an Indistinguishability-based Characterization

Mihir Bellare and Amit Sahai

Abstract: We prove the equivalence of two definitions of non-malleable encryption, one based on the simulation approach of Dolev, Dwork and Naor and the other based on the comparison approach of Bellare, Desai, Pointcheval and Rogaway. Our definitions are slightly stronger than the original ones. The equivalence relies on a new characterization of non-malleable encryption in terms of the standard notion of indistinguishability of Goldwasser and Micali. We show that non-malleability is equivalent to indistinguishability under a ``parallel chosen ciphertext attack,'' this being a new kind of chosen ciphertext attack we introduce, in which the adversary's decryption queries are not allowed to depend on answers to previous queries, but must be made all at once. This characterization simplifies both the notion of non-malleable encryption and its usage, and enables one to see more easily how it compares with other notions of encryption. The results here apply to non-malleable encryption under any form of attack, whether chosen-plaintext, chosen-ciphertext, or adaptive chosen-ciphertext.

Category / Keywords: foundations /

Publication Info: A preliminary version appeared in CRYPTO 99. This full version corrects some mistakes from the preliminary version.

Date: received 6 Jul 2006, last revised 15 Jul 2006

Contact author: mihir at cs ucsd edu

Available format(s): Postscript (PS) | Compressed Postscript (PS.GZ) | PDF | BibTeX Citation

Version: 20060715:214018 (All versions of this report)

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