[Resource Topic] 2003/131: Homomorphic public-key systems based on subgroup membership problems

Welcome to the resource topic for 2003/131

Title:
Homomorphic public-key systems based on subgroup membership problems

Authors: Kristian Gjøsteen

Abstract:

We describe the group structure underlying several popular homomorphic public-key systems and the problems they are based on. We prove several well-known security results using only the group structure and assumptions about the related problems.

Then we provide examples of two new instances of this group structure and analyse their security.

ePrint: https://eprint.iacr.org/2003/131

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