SHA$-3($Secure Hash Algorithm $3)$ is the latest member of the Secure Hash Algorithm family of standards, released by NIST on August $5,2015.$ Which of the following statements about SHA$-3$ are true?

SHA$-3$ hashes messages with a Sponge Construction.

The efficiency of SHA$-3$ depends on the permutation rate.

A round of SHA$-3$ contains $4$ mappings.

In SHA$-3,$ there are only one linear mapping.

The state of SHA$-3$ has variable size.

Like SHA$-1,$ the output of SHA$-3$ has a fixed size.