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Indistinguishability Obfuscation Without Multilinear Maps: New Paradigms via Low Degree Weak Pseudorandomness and Security Amplification
PFG iO
2019/6/4
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...
Cryptanalysis of CLT13 Multilinear Maps with Independent Slots
Multilinear maps lattice cryptanalysis
2019/3/21
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...
Indistinguishability Obfuscation Without Multilinear Maps: iO from LWE, Bilinear Maps, and Weak Pseudorandomness
Indistinguishability Obfuscation Functional Encryption
2018/6/25
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...
Constructing Witness PRF and Offline Witness Encryption Without Multilinear Maps
Witness PRF Offline Witness Encryption Randomized Encoding
2018/6/13
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 ...
Cost-Effective Private Linear Key Agreement With Adaptive CCA Security from Prime Order Multilinear Maps and Tracing Traitors
broadcast encryption private linear key agreement traitor tracing
2018/5/28
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...
New Multilinear Maps from CLT13 with Provable Security Against Zeroizing Attacks
multilinear maps obfuscation CLT13
2017/9/28
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...
Algebraic XOR-RKA-Secure Pseudorandom Functions from Post-Zeroizing Multilinear Maps
Pseudorandom functions related-key security multilinear maps
2017/6/2
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...
Multilinear Maps Using a Variant of Ring-LWE
Multilinear maps ring-LWE multipartite key exchange
2017/4/24
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...
Projective Arithmetic Functional Encryption and Indistinguishability Obfuscation From Degree-5 Multilinear Maps
Indistinguishability Obfuscation constant degree multilinear maps arithmetic functional encryption
2016/12/7
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...
Identity-Based Key Aggregate Cryptosystem from Multilinear Maps
Key-Aggregate Cryptosystem Identity-based Online Data Sharing
2016/7/14
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...
5Gen: A Framework for Prototyping Applications Using Multilinear Maps and Matrix Branching Programs
multilinear maps matrix branching programs functional encryption
2016/6/17
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 ...
To Save the Wilting Multilinear Maps
homomorphic obfuscation homomorphically obfuscate the kernel-test
2016/2/26
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...