The Outcode/Incode system is a dealer-locksmith security handshake. If you are not a professional, your easiest path is to call a mobile auto locksmith who advertises "Mazda key programming" — they have the software and will give you a working key without you ever seeing the codes.
The terms and "Outcode" refer to a security system used by Mazda (and other Japanese automakers like Toyota, Honda, Suzuki) for generating keys and programming immobilizer systems. mazda incode outcode