International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: DHAES: An Encryption Scheme Based on the Diffie-Hellman Problem

Michel Abdalla
Mihir Bellare
Phillip Rogaway
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Abstract: scheme, DHAES. The scheme is as efficient as ElGamal encryption, but has stronger security properties. Furthermore, these security properties are proven to hold under appropriate assumptions on the underlying primitive. We show that DHAES has not only the ``basic'' property of secure encryption (namely privacy under a chosen-plaintext attack) but also achieves privacy under both non-adaptive and adaptive chosen-ciphertext attacks. (And hence it also achieves non-malleability.) DHAES is built in a generic way from lower-level primitives: a symmetric encryption scheme, a message authentication code, group operations in an arbitrary group, and a cryptographic hash function. In particular, the underlying group may be an elliptic-curve group or the multiplicative group of integers modulo a prime number. The proofs of security are based on appropriate assumptions about the hardness of the Diffie-Hellman problem and the assumption that the underlying symmetric primitives are secure. The assumptions are all standard in the sense that no random oracles are involved. We suggest that DHAES provides an attractive starting point for developing public-key encryption standards based on the Diffie-Hellman assumption.
  title={DHAES: An Encryption Scheme Based on the Diffie-Hellman Problem},
  booktitle={IACR Eprint archive},
  keywords={Public-Key Cryptography, Chosen Ciphertext Attacks, Non-Malleability, Diffie-Hellman, Discrete Log, Encryption.},
  note={Appeared in the THEORY OF CRYPTOGRAPHY LIBRARY and has been included in the ePrint Archive. 10500 received March 17, 1999},
  author={Michel Abdalla and Mihir Bellare and Phillip Rogaway},