Improved signcryption from q-Diffie-Hellman problems

Libert, Benoît;Quisquater, Jean-Jacques
(2005) 4th International Conference on Security in Communication Networks — Location: Amalfi(Italy) (8.September.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 Cap Diffie-Hellman groups, This new scheme is quite efficient: the signcryption operation has almost the same cost as an El Carnal 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.
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Libert, B., & Quisquater, J.-J. (2005). Improved signcryption from q-Diffie-Hellman problems. Lecture Notes in Computer Science, 3352, 220-234. https://hdl.handle.net/2078.5/140589 (Original work published 2005)