[arkadiyt]

> does a 4096 not give you more security against passive capture and future decrypting?

If the server was using a key exchange that did not support forward secrecy then yes. But:

    % echo | openssl s_client -connect rachelbythebay.com:443 2>/dev/null | grep Cipher
    New, TLSv1.2, Cipher is ECDHE-RSA-AES256-GCM-SHA384
    Cipher    : ECDHE-RSA-AES256-GCM-SHA384

^ they're using ECDHE (elliptic curve diffie hellman), which is providing forward secrecy.

[nothrabannosir]

I thought FS only protected other sessions from leak of your current session key. How does it protect against passive recording of the session and later attacking of the recorded session in the future?

[arkadiyt]

If using a non-FS key exchange (like RSA) then the value that the session key is derived from (the pre-master secret) is sent over the wire encrypted using the server's public key. If that session is recorded and in the future the server's private key is obtained, it can be used to decrypt the pre-master secret, derive the session key, and decrypt the entire session.

If on the other hand you use a FS key exchange (like ECDHE), and the session is recorded, and the server's private key is obtained, the session key cannot be recovered (that's a property of ECDHE or any forward-secure key exchange), and none of the traffic is decryptable.