Maybe Skip SHA-3
> SHA-3 did introduce something useful: extendable output functionsMuch more than that!Keccak (SHA-3) introduced the Sponge construction. This goes _way_ further than extendable output functions: It allows you to build all the symmetric cryptographic primitives from one basic element! This means: hashes, PRNGs, MACs, encryption, AEAD, etc. The only thing you need that looks like crypto code is a single permutation function. This significantly reduces the amount of security critical code to write. If you talk about hardware implementations, the permutation function takes less die space than SHA2, and optimizes all these primitives.The sponge construction and all it's derivatives are proven secure assuming the permutation function is. And assuming SHA3 is secure, the permutation function is too. The alternative, the Merkle–Damgård construction, has a bunch of known problems. It's also used by pretty much every thing else, so it made sense to diversify.Honestly, I'm a bit sad by the reputation SHA-3 is getting. It is an eye-opening elegant design that makes all previous crypto look overly complex.