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Erschienen in:
2015 | OriginalPaper | Buchkapitel
Cryptanalysis of the Multilinear Map over the Integers
verfasst von : Jung Hee Cheon, Kyoohyung Han, Changmin Lee, Hansol Ryu, Damien Stehlé
Erschienen in: Advances in Cryptology -- EUROCRYPT 2015
Verlag: Springer Berlin Heidelberg
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We describe a polynomial-time cryptanalysis of the (approximate) multilinear map of Coron, Lepoint and Tibouchi (CLT). The attack relies on an adaptation of the so-called
zeroizing
attack against the Garg, Gentry and Halevi (GGH) candidate multilinear map. Zeroizing is much more devastating for CLT than for GGH. In the case of GGH, it allows to break generalizations of the Decision Linear and Subgroup Membership problems from pairing-based cryptography. For CLT, this leads to a total break: all quantities meant to be kept secret can be efficiently and publicly recovered.