Generalized Compact Knapsacks are Collision Resistant

@article{Lyubashevsky2005GeneralizedCK,
  title={Generalized Compact Knapsacks are Collision Resistant},
  author={Vadim Lyubashevsky and Daniele Micciancio},
  journal={Electronic Colloquium on Computational Complexity (ECCC)},
  year={2005}
}
In (Micciancio, FOCS 2002), it was proved that solving the generalized compact knapsack problem on the average is as hard as solving certain worst-case problems for cyclic lattices. This result immediately yielded very efficient one-way functions whose security was based on worst-case hardness assumptions. In this work, we show that, while the function proposed by Micciancio is not collision resistant, it can be easily modified to achieve collision resistance under essentially the same… CONTINUE READING

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