Here is the Federal Law that says YES you can install Tv antennas larger the a satellite dish. Hoa's have known about this law for a very long time , yet they still try and scam people into believing they can not install Tv antennas and other types of antennas. This is a Federal Law and it over rides every one and every thing.
http://www.fcc.gov/mb/facts/otard.html this Federal Law has been in effect since 1996 , thats 15 years , it's amazing how many people do not know about this Federal Law. This Federal Law came about to protect and enable you to receive Tv with a Tv antenna that is larger then a satellite dish.