Criminal convictions - do I need a visa?

Hi I want to travel to Hong Kong for a holiday with my fiancé. I have criminal convictions (from over 16 years ago) and spent time in jail for them.
Do I need to apply for an entry permit? It is hard to get an answer from the consulate and I am confused. I don't want to get there, and then get sent home.
I have a New Zealand passport.