Software for logging keystrokes with timing information?

I'm working on a project for class and I need to be able to log keystrokes with accurate timing information. This will be used along with audio and seismic data, so the more accurate the timing, the better (hoping for +/- 2ms).

It will be running on a personal laptop that I will set up for the test subjects, so I don't care if the software is windows or Linux. However, I'm less comfortable with Linux at the moment.

It doesn't need to be hidden. It does need a way to start/stop the logging. It needs to be able to log characters like LeftShift and RightShift separately, and also characters that aren't displayed like backspace.

Any suggestions?

EDIT: If this can be done in a browser, it would be even better. As long as the timing is still accurate.