As far as detecting accidental messages
We could assume that they are in frequencies that we ourselves use for communication. In that case, earthbound radio-telescopes are awash with noise of our own design. It would take more than a big 'scope to differentiate an intensely weak message from 20 ly away from the blaring noise we create ourselves.
Now if you want to stick the 'scope on the "dark" side of the moon where it is quiet, then Larry J is a great source for technical info.
