Cryptology ePrint Archive: Report 2015/463

Multilinear Maps Using Random Matrix

Gu Chunsheng

Abstract: Garg, Gentry and Halevi (GGH) described the first candidate multilinear maps using ideal lattices. However, Hu and Jia presented an efficient attack on GGH map, which breaks the GGH-based applications of multipartite key exchange (MPKE) and witness encryption (WE) based on the hardness of 3-exact cover problem. We describe a new construction of multilinear map using random matrix, which supports the applications for public tools of encoding in the origin GGH, such as MPKE and WE. The security of our construction depends upon new hardness assumption. Furthermore, our construction removes the special structure of the ring element in the principal ideal lattice problem, and avoids potential attacks generated by algorithm of solving short principal ideal lattice generator.

Category / Keywords: Multilinear maps, Ideal lattices, Multipartite Diffie-Hellman key exchange, Witness encryption, Zeroizing attack

Date: received 14 May 2015, last revised 17 Jul 2015, withdrawn 14 Dec 2015

Contact author: chunsheng_gu at 163 com

Available format(s): (-- withdrawn --)

Version: 20151214:123223 (All versions of this report)

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