[Resource Topic] 2015/448: A Comment on Gu Map-1

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Title:
A Comment on Gu Map-1

Authors: Yupu Hu, Huiwen Jia

Abstract:

Gu map-1 is a modified version of GGH map. It uses same ideal lattices for constructing the trapdoors, while the novelty is that no encodings of zero are given. In this short paper we show that Gu map-1 cannot be used for the instance of witness encryption (WE) based on the hardness of 3-exact cover problem. That is, if Gu map-1 is used for such instance, we can break it by solving a combined 3-exact cover problem. The reason is just that no encodings of zero are given.

ePrint: https://eprint.iacr.org/2015/448

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