A Practical Public Key Cryptosystem Provably Secure Against Adaptive Chosen Ciphertext Attack

@article{Cramer1998APP,
  title={A Practical Public Key Cryptosystem Provably Secure Against Adaptive Chosen Ciphertext Attack},
  author={Ronald Cramer and Victor Shoup},
  journal={IACR Cryptol. ePrint Arch.},
  year={1998},
  volume={1998},
  pages={6}
}
  • R. Cramer, V. Shoup
  • Published 23 August 1998
  • Computer Science, Mathematics
  • IACR Cryptol. ePrint Arch.
A new public key cryptosystem is proposed and analyzed. The scheme is quite practical, and is provably secure against adaptive chosen ciphertext attack under standard intractability assumptions. There appears to be no previous cryptosystem in the literature that enjoys both of these properties simultaneously. 
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References

SHOWING 1-10 OF 36 REFERENCES
Public-key cryptosystems provably secure against chosen ciphertext attacks
We show how to construct a public-key cryptosystem (as originally defined by DiNe and Hellman) secure against chosen ciphertezt attacks, given a public-key cryptosystern secure against passive
A public key cryptosystem and a signature scheme based on discrete logarithms
  • Taher El Gamal
  • Computer Science, Mathematics
    IEEE Trans. Inf. Theory
  • 1984
TLDR
A new signature scheme is proposed, together with an implementation of the Diffie-Hellman key distribution scheme that achieves a public key cryptosystem that relies on the difficulty of computing discrete logarithms over finite fields.
Towards Practical Public Key Systems Secure Against Chosen Ciphertext Attacks
TLDR
Two efficient constructions aimed at making public key systems secure against chosen ciphertext attacks are presented and a connection between such public-key systems and efficient identification schemes is pointed out.
Practical Approaches to Attaining Security Against Adaptively Chosen Ciphertext Attacks (Extended Abstract)
TLDR
This paper presents three methods for strengthening public key cryptosystems in such a way that they become secure against adaptively chosen ciphertext attacks, based on the use of one-way hash functions, universal hash functions and the Use of digital signature schemes.
Cryptanalysis of the Immunized LL Public Key Systems
TLDR
This paper demonstrates that the RSA based scheme is insecure under an adaptive chosen ciphertext attack, and point weaknesses in the design of both their RSA and EI Gamal based schemes regarding the use of pseudorandom-generators.
Probabilistic Encryption
Publicly Verifiable Secret Sharing
  • M. Stadler
  • Computer Science, Mathematics
    EUROCRYPT
  • 1996
TLDR
Publicly verifiable secret sharing schemes are called, new applications to escrow cryptosystems and to payment systems with revocable anonymity are discussed, and two new realizations based on ElGamal's Cryptosystem are presented.
Optimal Asymmetric Encryption
TLDR
A slightly enhanced scheme is shown to have the property that the adversary can create ciphertexts only of strings for which she “knows” the corresponding plaintexts—such a scheme is not only semantically secure but also non-malleable and secure against chosen-ciphertext attack.
Non-malleable cryptography
TLDR
Non-malleable schemes for each of the contexts of string commitment and zero-knowledge proofs of possession of knowledge, where a user need not know anything about the number or identity of other system users are presented.
Non-Interactive Zero-Knowledge Proof of Knowledge and Chosen Ciphertext Attack
TLDR
A formalization of chosen ciphertext attack is given in the model which is stronger than the "lunchtime attack" considered by Naor and Yung, and it is proved a non-interactive public-key cryptosystem based on non-Interactive zero-knowledge proof of knowledge to be secure against it.
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