Improved signcryption from q-Diffie-Hellman problems

  • Authors:
  • Benoît Libert;Jean-Jacques Quisquater

  • Affiliations:
  • ,UCL Crypto Group, Louvain-La-Neuve, Belgium;UCL Crypto Group, Louvain-La-Neuve, Belgium

  • Venue:
  • SCN'04 Proceedings of the 4th international conference on Security in Communication Networks
  • Year:
  • 2004

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Abstract

This paper proposes a new public key authenticated encryption (signcryption) scheme based on the hardness of q-Diffie-Hellman problems in Gap Diffie-Hellman groups. This new scheme is quite efficient: the signcryption operation has almost the same cost as an El Gamal encryption while the reverse operation only requires one pairing evaluation and three exponentiations. The scheme's chosen-ciphertext security is shown to be related to the hardness of the q-Diffie-Hellman Inversion (q–DHI) problem in the random oracle model while its unforgeability is proved under the q-Strong Diffie-Hellman assumption (q-SDH). It also provides detachable signatures that are unlinkable to the original anonymous ciphertext. We also show that most of the sender's workload can be computed offline. Our construction is based on a signature scheme independently studied by Boneh-Boyen and Zhang et al. in 2004.