[Resource Topic] 2010/099: On Homomorphic Encryption and Chosen-Ciphertext Security

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Title:
On Homomorphic Encryption and Chosen-Ciphertext Security

Authors: Brett Hemenway, Rafail Ostrovsky

Abstract:

Chosen-Ciphertext (IND-CCA) security is generally considered the right notion of security for a cryptosystem. Because of its central importance much effort has been devoted to constructing IND-CCA secure cryptosystems. In this work, we consider constructing IND-CCA secure cryptosystems from (group) homomorphic encryption. Our main results give natural and efficient constructions of IND-CCA secure cryptosystems from any homomorphic encryption scheme that satisfies weak cyclic properties, either in the plaintext, ciphertext or randomness space. Our results have the added benefit of being simple to describe and analyze.

ePrint: https://eprint.iacr.org/2010/099

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