[mdiesel]

I really like this view on the incompressibility of a uniform distribution.

However, the channel is probably not the same. Just as we moved from AM to FM, I'd expect then that a more advanced civilisation can make further improvements by changing the channel rather than the encoding, and maybe information encoded in the spin of particles or some other funky physics effect.

Ultimately, whilst the encoding will approach a uniform distribution, it seems like bad design for them to have an entire signal indistinguishable from background radiation, which is something they have to overcome as well.