Well it says:
The attack presented in the paper has been fixed on some systems according to Intel. We have however found out that even the relatively new boards, like e.g. Intel DQ35 are still vulnerable (the very recent Intel DQ45 doesn't seem to be vulnerable though). The exploit attached is for DQ35 board — the offsets would have to be changed to work on other boards (please do not ask how to do this).
So basically, a BIOS upgrade may fix it.
I don't know exactly the nature of the exploit as they don't do their best to use layman's terms or put it in ways normal people can understand. I fixed the original post as it seems this is a BIOS exploit.
Also, you need root privileges in order for such an attack to be possible ... so don't run as root.