Hi and welcome.
While I understand your message, the more natural way to say this to my ear is something like "It would be preferable if it were the noisy people who shut their doors, not those needing silence."
HOWEVER -- and this is a big however -- you will come across as quite rude. The fact that your colleagues are more concerned about your "asocial" behavior than getting work done shows a couple problems in your workplace and you really need to talk to you boss about this.
In the meantime, a less aggressive sign to tack on your door would be more along the lines of
"Concentrating -- Please come in if you need me!"
Student or Learner