Hash functions are commonly used in checksums, check digits, fingerprints, randomization functions, error-correcting codes, and ciphers. In this paper, we give a family of hash functions on the basis of chaotic tent maps and the sponge construction, where input is absorbed into the hash state at a given rate, then an output hash is squeezed from it at the same rate. The family include four types of hash functions, which are designed to facilitate the implementation on 8-bit, 16-bit, 32-bit and 64-bit processors, respectively. Our experiments have shown that the family meet security criteria for design of hash functions and the performance of our hash functions is comparable to SHA-3.
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