Cryptology ePrint Archive: Report 2015/1037
Cryptanalysis of GGH15 Multilinear Maps
Jean-Sebastien Coron and Moon Sung Lee and Tancrede Lepoint and 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.
Category / Keywords: Public-key cryptanalysis, multilinear maps
Original Publication (with minor differences): IACR-CRYPTO-2016
Date: received 26 Oct 2015, last revised 2 Jun 2016
Contact author: jscoron at gmail com
Available format(s): PDF | BibTeX Citation
Note: We describe an extended attack that also breaks GGH15 with the safeguards.
Version: 20160602:071119 (All versions of this report)
Short URL: ia.cr/2015/1037
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