Diffie-Hellman key distribution extended to group communication

Ever since a-party Diffie-Hellman key exchange was first proposed in 1976, there have been efforts to extend its simplicity and elegance to a group setting. Notable solutions have been proposed by Ingemarsson et al. (in 1982) and Burmester/Desmedt (in 1994). In this paper, we consider a class of protocols that we call natural extensions of DiffieHellman to the n-party case. After demonstrating the security of the entire class based on the...