I bought some RF11A04 modules from Aliexpress:

I didn’t find a document explaining how to use it, but I found a video where a guy uses this module in his automation board [1].

The process to make the RF11A04 learn the key codes is very simple:

  1. Power the module with 3.3V at GND and VCC pins (the PMR LED will turn ON
  2. Press and hold the KEY button, the LED turns OFF and after 10 seconds it will turn ON again
  3. When the LED turn ON, Release the KEY button
  4. Press and Release fast the KEY button, the LED will turn OFF
  5. Press the each button of the keychain, not the the LED will blink at 2 or 3 times per second
  6. After you pressed all keys in the keychain the LED will keep turned ON

You can confirm that all keys are recognized correctly pressing them and using a voltmeter (multi-meter) between the GND pin and D0, D1, D2 and D3. When you press the key the corresponding Dx output should change from 0V to 3.3V.

https://www.youtube.com/watch?v=4_YDX3bGI64