[Resource Topic] 2015/1037: Cryptanalysis of GGH15 Multilinear Maps

Welcome to the resource topic for 2015/1037

Title:
Cryptanalysis of GGH15 Multilinear Maps

Authors: Jean-Sebastien Coron, Moon Sung Lee, Tancrede Lepoint, Mehdi Tibouchi

Abstract:

We describe a cryptanalysis of the GGH15 multilinear maps. Our attack breaks in polynomial time the multipartite key-agreement protocol by generating an equivalent user private key. Our attack only applies to GGH15 without safeguards; for GGH15 with safeguards we only have a partial cryptanalysis that can recover any ratio of secret exponents. We also describe attacks against variants of the GGH13 multilinear maps proposed by Halevi (ePrint 2015/866) aiming at supporting graph-induced constraints, as in GGH15.

ePrint: https://eprint.iacr.org/2015/1037

Talk: https://www.youtube.com/watch?v=4kr3jqplB94

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