Cryptology ePrint Archive: Report 2002/097

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

Huafei Zhu

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.

Category / Keywords: public key, square decisional diffie-hellman assumption

Date: received 20 Jul 2002, withdrawn 11 Aug 2003

Contact author: zhuhf at zju edu cn

Available format(s): (-- withdrawn --)

Version: 20030811:153945 (All versions of this report)

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