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The authors propose a fully functional Identity-Based Encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming a variant of the computational Diffie-Hellman problem. The system is based on bilinear maps between groups. The Weil pairing on elliptic curves is an example of such a map. They give precise definitions for secure identity based encryption schemes and give several applications for such systems. The security of the system is based on a natural analogue of the computational Diffie-Hellman assumption.
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