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A New Randomness Extraction Paradigm for Hybrid Encryption

Eike Kiltz, Krzysztof Pietrzak, Martijn Stam, Moti Yung, A New Randomness Extraction Paradigm for Hybrid Encryption. Advances in Cryptology - EUROCRYPT 2009. ISBN 978-3-642-01000-2, pp. 590–609. April 2009. No electronic version available. External information

Abstract

We present a new approach to the design of IND-CCA2 secure hybrid encryption schemes in the standard model. Our approach provides an efficient generic transformation from 1-universal to 2-universal hash proof systems. The transformation involves a randomness extractor based on a 4-wise independent hash function as the key derivation function. Our methodology can be instantiated with efficient schemes based on standard intractability assumptions such as Decisional Diffie-Hellman, Quadratic Residuosity, and Pailliera??s Decisional Composite Residuosity. Interestingly, our framework also allows to prove IND-CCA2 security of a hybrid version of 1991a??s Damg?Yrda??s ElGamal public-key encryption scheme under the DDH assumption.

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