As somebody recently noted, this is a rootkit. It's going to be a significant exercise to get it completely cleared out. Failing that, you can use the Knoppix session as a means to access your data and back it up before reloading Windows.
I had a really bad Windows virus in 2003. It embedded itself into the firmware on the motherboard. I had to dedicate the machine to being a Linux host as the virus would go active if a Windows OS was available. I lost the use of a $1500 custom built Windows machine.
You didn’t try reflashing the BIOS?