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* [[MuHASH]]
* [[Elliptic curve only hash|ECOH - Elliptic Curve Only hash function]] - based on the concept of Elliptic curves, Subset Sum Problem and summation of polynomials. The security proof of the collision resistance was based on weakend assumptions and eventually a second pre-image attack was found.
* [[Fast
* [[SWIFFT]] - SWIFFT is based on the [[Fast fourier transform]] and is provably collision resistant, under a relatively mild assumption about the worst-case difficulty of finding short vectors in cyclic/ideal [[lattice|lattices]].
* [[Chaum, van Heijst, Pfitzmann hash function]] - A compression function where finding collisions is as hard as finding a [[discrete logarithm|discrete logarithm problem]] in a finite group <math>F_{2p+1}</math>.
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