Security of cryptographic hash functions: Difference between revisions

Revision as of 12:04, 10 January 2010

Revision as of 12:18, 10 January 2010

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* [[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 syndrome-based hash function|FSB - Fast Syndrome-Based hash function]] - it can be proven that breaking FSB is at least as difficult as solving a certain NP-complete problem known as Regular Syndrome Decoding.

* [[SWIFFT hash function|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>.

* [[Knapsack-based hash functions]] - A family of hash functions based on the [[Knapsack problem]].