A Public Key Encryption Scheme Secure against Key Dependent Chosen Plaintext and Adaptive Chosen Ciphertext Attacks

  • Jan Camenisch
  • Nishanth Chandran
  • Victor Shoup
Conference paper

DOI: 10.1007/978-3-642-01001-9_20

Part of the Lecture Notes in Computer Science book series (LNCS, volume 5479)
Cite this paper as:
Camenisch J., Chandran N., Shoup V. (2009) A Public Key Encryption Scheme Secure against Key Dependent Chosen Plaintext and Adaptive Chosen Ciphertext Attacks. In: Joux A. (eds) Advances in Cryptology - EUROCRYPT 2009. EUROCRYPT 2009. Lecture Notes in Computer Science, vol 5479. Springer, Berlin, Heidelberg


Recently, at Crypto 2008, Boneh, Halevi, Hamburg, and Ostrovsky (BHHO) solved the long-standing open problem of “circular encryption,” by presenting a public key encryption scheme and proving that it is semantically secure against key dependent chosen plaintext attack (KDM-CPA security) under standard assumptions (and without resorting to random oracles). However, they left as an open problem that of designing an encryption scheme that simultaneously provides security against both key dependent chosen plaintext and adaptive chosen ciphertext attack (KDM-CCA2 security). In this paper, we solve this problem. First, we show that by applying the Naor-Yung “double encryption” paradigm, one can combine any KDM-CPA secure scheme with any (ordinary) CCA2 secure scheme, along with an appropriate non-interactive zero-knowledge proof, to obtain a KDM-CCA2 secure scheme. Second, we give a concrete instantiation that makes use the above KDM-CPA secure scheme of BHHO, along with a generalization of the Cramer-Shoup CCA2 secure encryption scheme, and recently developed pairing-based NIZK proof systems. This instantiation increases the complexity of the BHHO scheme by just a small constant factor.

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Jan Camenisch
    • 1
  • Nishanth Chandran
    • 2
  • Victor Shoup
    • 3
  1. 1.IBM Research, work funded by the European Community’s Seventh Framework Programme (FP7/2007-2013) under grant agreement no. 216483Switzerland
  2. 2.UCLA, work done while visiting IBM ResearchUSA
  3. 3.NYU, work done while visiting IBM Research, supported by NSF award number CNS-0716690USA

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