Identity-based Encryption from the Diffie-Hellman Assumption

Döttling, Nico and Garg, Sanjam
(2021) Identity-based Encryption from the Diffie-Hellman Assumption.
Journal of the ACM. ISSN 0004-5411

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We provide the first constructions of identity-based encryption and hierarchical identity-based encryption based on the hardness of the (Computational) Diffie-Hellman Problem (without use of groups with pairings) or Factoring. Our construction achieves the standard notion of identity-based encryption as considered by Boneh and Franklin [CRYPTO 2001]. We bypass known impossibility results using garbled circuits that make a non-black-box use of the underlying cryptographic primitives.


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