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The existence of secure indistinguishability obfuscators (iO) has far-reaching implications, significantly expanding the scope of problems amenable to cryptographic study. All known approaches to cons...
Many constructions based on multilinear maps require independent slots in the plaintext, so that multiple computations can be performed in parallel over the slots. Such constructions are usually based...
The existence of secure indistinguishability obfuscators (iO) has far-reaching implications, significantly expanding the scope of problems amenable to cryptographic study. All known approaches to cons...
Witness pseudorandom functions (witness PRFs), introduced by Zhandry [Zha16], was defined for an NP language L and generate a pseudorandom value for any instance x. The same pseudorandom value can be ...
Private linear key agreement (PLKA) enables a group of users to agree upon a common session key in a broadcast encryption (BE) scenario, while traitor tracing (TT) system allows a tracer to identify c...
Garg, Gentry and Halevi (GGH13) described the first candidate multilinear maps using ideal lattices. However, Hu and Jia recently presented an efficient attack on the GGH13 map, which breaks the multi...
We devise the first weak multilinear map model for CLT13 multilinear maps (Coron et al., CRYPTO 2013) that captures all known classical polynomial-time attacks on the maps. We then show important appl...
Due to the vast number of successful related-key attacks against existing block-ciphers, related-key security has become a common design goal for such primitives. In these attacks, the adversary is no...
GGH13, CLT13 and GGH15 of multilinear maps suffer from zeroizing attacks. In this paper, we present a new construction of multilinear maps using a variant of ring-LWE. The security of our construction...
In this work, we propose a variant of functional encryption called projective arithmetic functional encryption (PAFE). Roughly speaking, our notion is like functional encryption for arithmetic circuit...
The key-aggregate cryptosystem (KAC) proposed by Chu et al. in 2014 offers a solution to the flexible access delegation problem in shared data environments such as the cloud. KAC allows a data owner...
Secure multilinear maps (mmaps) have been shown to have remarkable applications in cryptography, such as program obfuscation and multi-input functional encryption (MIFE). To date, there has been littl...
Multilinear maps enable homomorphic computation on encoded values and a public procedure to check if the computation on the encoded values results in a zero. Encodings in known candidate constructions...
Indistinguishability obfuscation is a central primitive in cryptography. Security of existing multilinear maps constructions on which current obfuscation candidates are based is poorly understood. In ...
In this paper, we initiate the study of “homomorphic obfuscation”, and show how to homomorphically obfuscate the kernel-test and affine subspace-test functionalities of high dimensional matrices. Nam...

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