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I understand the Diffie Hellman key exchange. What I don't understand is the role the server's private key plays in it.
I'm not talking about the servers generated secret. I understand that purpose quite well. I'm talking about the private key associated with the server's certificate/public key.
I understand the role of the servers private key in the RSA key exchange but I don't think the servers private key is needed in the Diffie Hellman key exchange.
If the servers private key isn't needed in the Diffie Hellman key exchange AND I forced all clients to only use the Diffie Hellman key exchange could I, in theory, delete the servers private key for added security?