Bash-f: another LRX sponge function

We present the Bash family of hashing algorithms based on the sponge paradigm. A core element of this family is the Bash-f sponge function which refers to the LRX (Logical-Rotation-Xor) class of symmetric cryptographic schemes. We describe the components of Bash-f: a nonlinear mapping, linear diffusion mappings, a permutation of words of a hash state. For each component we establish reasonable quality criteria aiming to make the choice of components maximally objective and transparent.