Sounds great that you are considering a condo purchase! You can find out about FHA eligibility on the HUD website, https://entp.hud.gov/idapp/html/condlook.cfm. As the previous person wrote, FHA requires little downpayment where conventional financing requires 5% or even 10% down.
Just a tip: remember to get budgets, rules and regulations on the complex and read the rules. Get the name of the management company and ask them any further questions you might have about the complex and rules they impose.