Provably Authenticated Group Diffie-Hellman Key Exchange - The Dynamic Case
ASIACRYPT '01 Proceedings of the 7th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
A One Round Protocol for Tripartite Diffie–Hellman
Journal of Cryptology
Modeling insider attacks on group key-exchange protocols
Proceedings of the 12th ACM conference on Computer and communications security
Secure group key establishment revisited
International Journal of Information Security
Revisiting Pairing Based Group Key Exchange
Financial Cryptography and Data Security
(Password) authenticated key establishment: from 2-party to group
TCC'07 Proceedings of the 4th conference on Theory of cryptography
Scalable authenticated tree based group key exchange for ad-hoc groups
FC'07/USEC'07 Proceedings of the 11th International Conference on Financial cryptography and 1st International conference on Usable Security
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In a recent preprint, Vivek et al. propose a compiler to transform a passively secure 3-party key establishment to a passively secure group key establishment. To achieve active security, they apply this compiler to Joux's protocol and apply a construction by Katz and Yung, resulting in a 3-round group key establishment. In this paper we show how Joux's protocol can be extended to an actively secure group key establishment with two rounds. The resulting solution is in the standard model, builds on a bilinear Diffie-Hellman assumption and offers forward security as well as strong entity authentication. If strong entity authentication is not required, then one half of the participants does not have to send any message in the second round, which may be of interest for scenarios where communication efficiency is a main concern.