A combination of the words home and Omaha. Usually spoken by some one who claims to reside in Omaha and has a fondness for the city.
Soldier1: Bro, I cant wait to leave this smelly, filthy country and get back home.
Soldier2: Ya, I feel ya. Im missing Homaha pretty bad.
Soldier1: What the hell is that?
Soldier2: Its the words Omaha, my city, and home, combined.
Soldier1: Thats gay.
Soldier2: Shut up.