Title
Cryptanalysis of the New CLT Multilinear Map over the Integers.
Abstract
Multilinear maps serve as a basis for a wide range of cryptographic applications. The first candidate construction of multilinear maps was proposed by Garg, Gentry, and Halevi in 2013, and soon afterwards, another construction was suggested by Coron, Lepoint, and Tibouchi CLT13, which works over the integers. However, both of these were found to be insecure in the face of so-called zeroizing attacks, by Hu and Jia, and by Cheon, Han, Lee, Ryu and Stehlé. To improve on CLT13, Coron, Lepoint, and Tibouchi proposed another candidate construction of multilinear maps over the integers at Crypto 2015 CLT15. This article presents two polynomial attacks on the CLT15 multilinear map, which share ideas similar to the cryptanalysis of CLT13. Our attacks allow recovery of all secret parameters in time polynomial in the security parameter, and lead to a full break of the CLT15 multilinear map for virtually all applications.
Year
DOI
Venue
2016
10.1007/978-3-662-49890-3_20
IACR Cryptology ePrint Archive
Keywords
Field
DocType
Multilinear maps,Graded encoding schemes
Integer,Discrete mathematics,Polynomial,Algebra,Cryptography,Computer science,Cryptanalysis,Security parameter,Multilinear map
Journal
Volume
ISSN
Citations 
2016
0302-9743
81
PageRank 
References 
Authors
1.51
29
5
Name
Order
Citations
PageRank
Jung Hee Cheon11787129.74
Pierre-Alain Fouque21762107.22
Changmin Lee314410.74
Brice Minaud41477.75
Hansol Ryu51234.11