Graph-induced multilinear maps from lattices
WebShai Halevi, IBM T.J. Watson Research CenterThe Mathematics of Modern Cryptographyhttp://simons.berkeley.edu/talks/shai-halevi-2015-07-10 WebIn 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).
Graph-induced multilinear maps from lattices
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WebAug 11, 2013 · We describe a new graph-induced multilinear maps from lattices and show how it can be used to construct a candidate general purpose program obfuscator. Our construction uses standard (random ... Webold.simons.berkeley.edu
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. WebApr 24, 2015 · Lattices are abstractly very simple objects, yet their concrete realizations contain beautifully intricate problems that are stubbornly difficult even in low dimensions. …
WebThis work strengthens the attack of Cheon, Han, Lee, Ryu, and Stehle, and gives a functionality-preserving transformation that ensures that no sequence of map operations will produce valid encodings whose product is zero, and proves security of the transformation in a generic model of composite-order multilinear maps. In recent work Cheon, Han, Lee, …
WebBuilding upon the GGH13 construction, Coron, Lepoint, and Tibouchi (2013) (CLT13) presented an alternate construction of multilinear maps over the integers. Recently, …
WebSergey Gorbunov, Vinod Vaikuntanathan and Hoeteck Wee. CRYPTO 2015. Graph-Induced Multilinear Maps from Lattices. [pdf] Craig Gentry, Sergey Gorbunov and Shai Halevi. TCC 2015. Leveled Fully Homomorphic Signatures from Standard Lattices. [pdf] Sergey Gorbunov, Vinod Vaikuntanathan and Daniel Wichs. Merge of [GV'14]and … chippy\u0027s couchWebThis paper builds a general framework, called 5Gen, to experiment with secure multilinear maps, and develops a compiler that takes in a high-level program and produces an optimized matrix branching program needed for the applications the authors consider. Secure multilinear maps (mmaps) have been shown to have remarkable applications in … chippy twitchWebThe 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. grape tech coWebconstruction of graph-induced multilinear maps does not rely on ideal lattices or hard-to-factor integers. Rather, we use standard random lattices such as those used in LWE … chippy tyre shopWeb[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. grape terrace syracuseWebAug 27, 2014 · Graph-Induced Multilinear Maps from Lattices. Craig Gentry, Sergey Gorbunov, and Shai Halevi Abstract. Graded multilinear encodings have found … chippy\u0027s bounce \u0026 playWebJul 10, 2015 · Graded multilinear encodings have found extensive applications in cryptography ranging from non-interactive key exchange protocols, to broadcast and … grape tattoo meaning