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Key exchange is one of the most useful tools in public-key cryptography, allowing users to establish a common secret which they can then use in applications to achieve both privacy and authenticity. In this paper, the authors present a secure constant-round password-based group key exchange protocol in the common reference string model. Their protocol is based on the group key exchange protocol by Burmester and Desmedt and on the 2-party password-based authenticated protocols by the researchers. The proof of security is in the standard model and based on the notion of smooth projective hash functions.
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