Uhhh...I'm very skeptical that an HOA can't prevent you from putting up an antenna for reception. It likely depends on the association by-laws, the size, and where you're going to mount it.
My association couldn't care less about what I receive or don't receive but they do say that dishes and other antennas aren't to be placed in x areas on the outside of your place which they own as common area of the development. They don't really have issues with dishes and antennas if they're below a sight line or there's a collective area that is approved for this use. Otherwise, they're not going to let me mount it 12 feet high on a corner bracket just because that's where the reception is best.