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Universal Hash Proofs and a Paradigm for Adaptive Chosen Ciphertext Secure Public-Key Encryption

  • Ronald Cramer
  • Victor Shoup
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2332)

Abstract

We present several new and fairly practical public-key encryption schemes and prove them secure against adaptive chosen ciphertext attack. One scheme is based on Paillier’s Decision Composite Residuosity assumption, while another is based in the classical Quadratic Residuosity assumption. The analysis is in the standard cryptographic model, i.e., the security of our schemes does not rely on the Random Oracle model. Moreover, we introduce a general framework that allows one to construct secure encryption schemes in a generic fashion from language membership problems that satisfy certain technical requirements. Our new schemes fit into this framework, as does the Cramer-Shoup scheme based on the Decision Diffie-Hellman assumption.

Keywords

Hash Function Decryption Algorithm Random Oracle Model Hash Family Decryption Oracle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Ronald Cramer
    • 1
    • 2
  • Victor Shoup
    • 1
    • 2
  1. 1.BRICS & Dept. of Computer ScienceAarhus UniversityDenmark
  2. 2.IBM Zurich Research LaboratorySwitzerland

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