Review of Linux Compatibility
The Rapoo RP-E9070 is a very slim wireless keyboard is is fully supported by Linux (e.g. at least since Ubuntu 12.04). Also the function keys work automatically.
The suppliers writes that the keybord supports a range of 10 meters between receiver and keyboard. According to feedback from several users the achievable limit is less. Furthermore, the keyboard (independent of the used operating system) is prone to omit keystrokes while typing if the distance to the receiver is large.