First off, check all of the connections for tightness.
Try changing the audio source. Remove the dac and use a mp3 player or CD player or a stereo receiver.
If the noise goes away, you most likely have a "ground loop" between the dac and the MKIII.
Special cable adapters are made to isolate the devices, cut off any ground loops between them.
The Little Dot and many other tube amps are notorious for developing ground loop noise.
Try and run a search in this forum for: Little Dot ground loop. You will find a lot of commentary.
Radio Shack sells a ground loop isolator, p/n: 270-054.
linky: http://www.radioshack.com/product/index.jsp?productId=2062214
See if you can isolate the noise by switching the tubes around.
Does the noise change at all?
If you are into rolling tubes, put a different set of tubes in it and note if anything changes.
Good luck!
Edited by livewire - 9/29/10 at 5:09pm