WebAug 27, 2014 · Graph-Induced Multilinear Maps from Lattices. Craig Gentry, Sergey Gorbunov, and Shai Halevi Abstract. Graded multilinear encodings have found … WebJun 20, 2024 · Cryptanalysis of the new CLT multilinear map over the integers. In Annual International Conference on the Theory and Applications of Cryptographic Techniques. Jung Hee Cheon, Kyoohyung Han, Changmin Lee, Hansol Ryu, and Damien Stehlé. 2015. Cryptanalysis of the Multilinear Map over the Integers.
20150525 Multilinear Maps Using Ideal Lattices without Encoding…
WebThis topic is connected with what was explored during the Simons Institute’s Spring 2024 program on Lattices: Algorithms, Complexity, and Cryptography — the interface of … WebA modification construction of multilinear maps from ideal lattices without encodings of zero is described by introducing random matrices to avoid the zeroing attack problem. Garg, Gentry and Halevi (GGH) described the first candidate multilinear maps using ideal lattices. However, Hu and Jia recently presented an efficient attack for two applications … high fry\\u0027ve
Graph-Induced Multilinear Maps from Lattices - IACR
Web[GGH15] Graph-Induced Multilinear Maps from Lattices, Craig Gentry, Sergey Gorbunov and Shai Halevi. TCC 2015, LNCS vol. 9015, pages 498-527, Springer 2015. [GHRW14] Outsourcing Private RAM Computation, Craig Gentry, Shai Halevi, Mariana Raykova and Daniel Wichs. FOCS 2014. Webthe multilinear map is de ned with respect to a directed acyclic graph. Namely, encoded value are associated with paths in the graph, and it is only possible to add encoding relative to the same paths, or to multiply encodings relative to \connected paths" (i.e., one ends where the other begins) Our candidate construction of graph-induced ... WebThe construction combines the graph-induced multilinear maps by Gentry, Gorbunov and Halevi [GGH15], their candidate obfuscator, and the lattice-based PRFs of [BPR12,BLMR13]. At the heart of our technical contribution is identifying a restricted (yet still powerful) variant of the GGH15 maps, whose security can be reduced to LWE. high fry leyton