A Practical Elliptic Curve Public Key Encryption Scheme Provably Secure Against Adaptive Chosen-message Attack.

Huafei Zhu · 2003

We study elliptic curve cryptosystems by first investigating the schemes defined over Z_p and show that the scheme is provably secure against adaptive chosen cipher-text attack under the decisional Diffie-Hellman assumption. Then we derive a practical elliptic curve cryptosystem by making use of some nice elliptic curve where the decisional Diffie-Hellman assumption is reserved.

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