A round of the SHA$-3$ hash algorithm consists of the following functions:

$$ : A parity function to mix bits across columns

$$ : A diffusion of values along lanes based on matrix multiplication over GF$(5)$

$$ : diffusion of values in slice in both $x$ and $y$ direction

$x$ : A nonlinear function that alters rows

I: A combination with round constant $($different for each round$)$

$-$ A RotShift function that uses XOR to combine shifted inputs

A majority function

A conditional function

Addition mod $2^{64}$

A SubBytes function using substitution boxes

A ShiftRows function to add confusion

A MixColumns function

An XOR with a round$-$specific value

$-$ A nonliner function $F.$

A series of ${?}^{{?}^{?}},v,$ and $o+$ operations

A shift by $s$ bits $($where $s$ is different for each round$)$

Addition mod $2^{32}$