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Paper: A new public key encryption scheme provably secure against adaptive chosen cipher-text attack

Authors:
Huafei Zhu
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URL: http://eprint.iacr.org/2002/097
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Abstract: We present a new public key cryptosystem based on the notion called square decisional Diffie-Hellman problem. The scheme is provably secure against adaptive chosen cipher-text attack under the hardness assumption of the square decisional Diffie-Hellman problem. Compared with Cramer and Shoup's notable public key scheme, our scheme enjoys several nice features: (1)Both schemes are provably secure against adaptive chosen cipher-text attack under the intractability paradigm (the security of Cramer-Shoup's scheme is based on the standard decisional Diffie-Hellman problem while ours based on the square decisional Diffie-Hellman problem; (2)The computational and communication complexity of our scheme is equivalent to the Cramer and Shoup's scheme however, the test function of Cramer-shoup's scheme is linear while our scheme is non-linear, therefore our reduction is more efficient.
BibTeX
@misc{eprint-2002-11620,
  title={A new public key encryption scheme provably secure against adaptive chosen cipher-text attack},
  booktitle={IACR Eprint archive},
  keywords={public key, square decisional diffie-hellman assumption},
  url={http://eprint.iacr.org/2002/097},
  note={ zhuhf@zju.edu.cn 12275 received 20 Jul 2002, withdrawn 11 Aug 2003},
  author={Huafei Zhu},
  year=2002
}