The short answer was supplied at the end of his response. He gives a step by step run down of how the encryption and decryption works. The only thing most people not familiar with crypto would probably have an issue with is understanding D-PKG(Distributed-Public Key Generators) and ECCSI(Elliptic Curve-based Certificate-less Signatures for Identifier Based Encryption).

I personally wasn't familiar with D-PKGs but his response allowed me to understand what they were pretty easily.