[Resource Topic] 2015/737: New multilinear maps from ideal lattices

Welcome to the resource topic for 2015/737

Title:
New multilinear maps from ideal lattices

Authors: Gu Chunsheng

Abstract:

Recently, Hu and Jia presented an efficient attack on the GGH13 map. They show that the MPKE and WE based on GGH13 with public tools of encoding are not secure. Currently, an open problem is to fix GGH13 with functionality-preserving. By modifying zero-testing parameter and using switching modulus method, we present a new construction of multilinear map from ideal lattices. Our construction maintains functionality of GGH13 with public tools of encoding, such as applications of GGH13-based MPKE and WE. The security of our construction depends upon new hardness assumption.

ePrint: https://eprint.iacr.org/2015/737

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