Graph-induced multilinear maps from lattices
WebGraph-Induced Multilinear Maps from Lattices - YouTube Shai Halevi, IBM T.J. Watson Research CenterThe Mathematics of Modern Cryptographyhttp://simons.berkeley.edu/talks/shai-halevi-2015-07-10... Webencoded 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 multilinear maps does not rely on ideal lattices or hard-to-factor integers.
Graph-induced multilinear maps from lattices
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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. WebJul 10, 2015 · Graded multilinear encodings have found extensive applications in cryptography ranging from non-interactive key exchange protocols, to broadcast and …
WebMar 1, 2016 · Attractive features of lattice cryptography include apparent resistance to quantum attacks in contrast with most number-theoretic cryptography, high asymptotic efficiency and parallelism, security under worst-case intractability assumptions, and solutions to long-standing open problems in cryptography. WebMar 23, 2015 · In this work, we describe a new graph-induced multilinear encoding scheme from lattices. In a graph-induced multilinear encoding scheme the arithmetic …
WebMultilinear Maps (MMAPs) A very powerful crypto tool. Enables computation on “hidden data” Similar to homomorphic encryption (HE) But HE is too “all or nothing” No key: … WebThe graph for 3 parties is illustrated in Figure 1. A 0 A 1;1 A 1;2 A 1;3 12; 3 A 3;1 A 3;2 A 3;3 s 1 s 2 s 3 s 3 s 1 s 2 s 2 s 3 s1 Fig.1. Graph for a 3-partite key-agreement protocol with GGH15 multilinear maps. On the i-th chain, Party iwill then be able to multiply these encodings (the one he kept secret and the ones published by the other ...
WebDIST_3D —The 3D distance along the original line at which an intersection was found and which represents the beginning of this new line.; LENGTH_3D —The 3D length of this …
WebThis is the unlikely friendship of two seemingly disparate mathematical structures and conjectured hard problems on these, namely, the hardness of finding short independent … graphic era university fees for mbaWebMar 23, 2015 · [PDF] Graph-Induced Multilinear Maps from Lattices Semantic Scholar This work describes a new graph-induced multilinear encoding scheme from lattices, … graphic era university dehradun registrationWebGraph-induced multilinear maps from lattices. In TCC, pages 498--527, 2015. Craig Gentry, Chris Peikert, and Vinod Vaikuntanathan. Trapdoors for hard lattices and new cryptographic constructions. In STOC, pages 197--206, 2008. Shafi Goldwasser, Yael Tauman Kalai, Chris Peikert, and Vinod Vaikuntanathan. graphic era university dehradun lawWebBuilding upon the GGH13 construction, Coron, Lepoint, and Tibouchi (2013) (CLT13) presented an alternate construction of multilinear maps over the integers. Recently, … graphic era university grading scaleWebAug 27, 2014 · Graph-Induced Multilinear Maps from Lattices. Craig Gentry, Sergey Gorbunov, and Shai Halevi Abstract. Graded multilinear encodings have found … graphic era university haldwani campusWebIn this work, we describe a new graphinduced multilinear encoding scheme from lattices. In a graph-induced multilinear encoding scheme the arithmetic operations that are allowed are restricted through an explicitly defined directed graph (somewhat similar to the “asymmetric variant” of previous schemes). graphic era university dehradun pincodeWebAn Alternative View of the Graph-Induced Multilinear Maps Yilei Chen February 29, 2016 Abstract In this paper, we view multilinear maps through the lens of “homomorphic obfuscation”. In specific, we show how to homomorphically obfuscate the kernel-test and affine subspace-test functionalities of high dimensional matrices. graphic era university library