Demo of the Diffie-Hellman backdoor posted March 2016
Here's a little demo of my work in progress research =)
The top right screen is the client, the bottom right screen is the server. I modified two numbers in some Socat file (hopefully it will be one number soon) and the backdoor is there. It's a public value and both the server and the client can generate their own certificates and use them in the TLS connection. For simplicity I don't do that, but just know that it would change nothing.
To get a Man-in-the-middle position I took the simplest approach I could think of: the screen on the left is a proxy, the client connect to the server through the proxy.
You will see that the proxy on the left will start parsing the server and the client packets as soon as it sees a TLS handshake. It then collects the server and the client Randoms, the server and the client DH public keys, and the DH parameters of the server to check if the backdoor is there. You will see a red message displaying that indeed, the backdoor is present.
For simplicity again (this is a proof of concept) I only use TLS 1.2 with AES128-CBC as the symmetric cipher and SHA-256 as the hash function used in the PRF/MAC/etc...
In a few seconds the premaster key, then the master key, then the MAC and encryption keys are computed and the traffic is then decrypted live.