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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Black-Box Construction of a Non-malleable Encryption Scheme from Any Semantically Secure One
verfasst von : Seung Geol Choi, Dana Dachman-Soled, Tal Malkin, Hoeteck Wee
Erschienen in: Theory of Cryptography
Verlag: Springer Berlin Heidelberg
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We show how to transform any semantically secure encryption scheme into a non-malleable one, with a black-box construction that achieves a quasi-linear blow-up in the size of the ciphertext. This improves upon the previous non-black-box construction of Pass, Shelat and Vaikuntanathan (Crypto ’06). Our construction also extends readily to guarantee non-malleability under a bounded-CCA2 attack, thereby simultaneously improving on both results in the work of Cramer et al. (Asiacrypt ’07).
Our construction departs from the oft-used paradigm of re-encrypting the same message with different keys and then proving consistency of encryptions; instead, we encrypt an encoding of the message with certain locally testable and self-correcting properties. We exploit the fact that low-degree polynomials are simultaneously good error-correcting codes and a secret-sharing scheme.