I am proposing a multi-party group-key agreement protocol in my paper, which can be seen as an extension of the classic Diffie Hellman bipartite group key agreement. However, how to formalize the security proof of this protocol is very challenging, so I have to come here for help. The first step in proving the security is to prove that given $g ^ x$, $g ^ y$, $g^{\left(x^2\right)}$, $g^{\left(y^2\right)}$, calculating $g^{\left(xy\right)}$is a hard problem.Thank you!



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