As a participant in the SHA hash function contest who broke one of the 51 Round-1 SHA-3 proposals and who worked on security proofs for another SHA-3 proposal I can say with some authority that using the sponge construction and showing statistical properties of the transformation function is not sufficient to ensure security. Of the 51 Round-1 SHA-3 proposals all of them passed statistical tests and at least one roun…
You may dislike the listing of authority, but he's right, and you're kind of misconstruing what he's saying. You can "invent" all the crypto systems you want, you're just foolish to do so without proper review, because there will be flaws.
> Did you receive the invite? We can also setup a chat with our ex-NSA post-Quantum hash function experts after we get the initial confusion out of the way.