The Federal Antenna Law says that Yes you can install a Broadcast Tv Antenna of any size above the roof so as to have reliable reception.
The Federal Antenna Law makes null and void Hoa rules and regulations that are designed to prevent you from installing a broadcast Tv antenna above the roof in such a manner so as to have reliable reception.
www.fcc.gov/mb/facts/otard.html
Hoa's and housing covennuts and etc. are well aware of the Federal Antenna Law.
Some Hoa's and etc. are counting on you not being aware of the Federal Antenna Law.