Anyway, where did you get you limit from? Remember that they are not broadcasting, it's directional communication (Chicago - London).
From a number of different sources online that talk about creating digital data communications (packet radio, RTTY, etc.) at various wavelengths. Shortwave seems limited to about 300 bps because the properties of the atmospheric medium suck (especially during the day). The problem is known as group delay and is caused by the ionosphere's reflection of the signal being extremely frequency sensitive. Attempts to send wide-band on shortwave are distorted by this. It's VHF and UHF that can support much higher bandwidths but they are line-of-sight.