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ECDH/ ECDHE vs DHE for key exchange

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Question: Looking at the VPN specifications tab, I notice that no available configuration of the client software uses EDCHE/ EDCH, but instead they all use 4096 bit DHE (Diffie-Hellman key exchange). 

Is there a specific reason for this? If I understand correctly, the two I suggested are computationally less intense, which may help optimize startup times and operation efficiency. 
BUT maybe I am wrong! Maybe EDCHE doesn't integrate well. Maybe this stack is the best. Lets talk about it! 

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