[PDF] Top 20 On the Equivalence of Obfuscation and Multilinear Maps
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On the Equivalence of Obfuscation and Multilinear Maps
... [BGK + 14] Boaz Barak, Sanjam Garg, Yael Tauman Kalai, Omer Paneth, and Amit Sahai. Protecting obfuscation against algebraic attacks. In Advances in Cryptology - EUROCRYPT 2014 - 33rd Annual International ... See full document
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Indistinguishability Obfuscation Without Multilinear Maps: iO from LWE, Bilinear Maps, and Weak Pseudorandomness
... • How should we generate such noise? A natural idea is to rely a pseudorandom generator that can be computed via quadratic operations only. However, this is exactly the reason why previous approaches from the literature ... See full document
108
Projective Arithmetic Functional Encryption and Indistinguishability Obfuscation From Degree-5 Multilinear Maps
... bilinear maps, to higher degrees in a degree preserving ...of multilinear maps defined over composite order ...order multilinear maps (for example [Lin16]) to constructions based on ... See full document
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Multilinear Maps from Obfuscation
... self-pairing maps correspond to a setting where the group algorithms are independent of the group index for 1 ≤ i ≤ κ + 1 (including the target index κ + 1 ), and the group generators and identity elements are all ... See full document
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Indistinguishability Obfuscation from the Multilinear Subgroup Elimination Assumption
... actual obfuscation of one of the program ...functional equivalence by simply “passing” the problem of dealing with problematic instances into the assumption description ... See full document
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New Multilinear Maps over the Integers
... cryptographic multilinear maps have proved their tremendous potential as building blocks for new constructions, in particular the first viable approach to general program ... See full document
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Statistical Zeroizing Attack: Cryptanalysis of Candidates of BP Obfuscation over GGH15 Multilinear Map
... of obfuscation using the weak multilinear map models [4, 18, 28] to capture the currently known techniques to analyze obfuscations and multilinear map ... See full document
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Cryptanalysis of the New CLT Multilinear Maps
... Multilinear maps. The cryptographic multilinear map has many applications, includ- ing non-interactive key exchange, general program obfuscation, and efficient broadcast ...of multilinear ... See full document
15
Security Analysis of Multilinear Maps over the Integers
... cryptographic multilinear maps by gen- eralizing cryptographic bilinear ...construct multilinear maps sat- isfying cryptographic ...candidate multilinear maps, called Graded ... See full document
27
Black-Box Obfuscation for d-CNFs
... generic multilinear group model. In the generic multilinear group model, an adversary must operate independently of group elements’ ...subtraction, multilinear maps and more (see ... See full document
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Zeroizing without zeroes: Cryptanalyzing multilinear maps without encodings of zero
... current obfuscation candidates, but our attacks call for renewed eort to either attack these candidates or understand the source of hardness that underlie their ... See full document
9
Graph-Induced Multilinear Maps from Lattices
... (graded) multilinear maps have expanded much further, supporting applications such as witness encryption, general-purpose obfuscation, functional encryption, and many more [GGSW13, GGH + 13c, GGH + ... See full document
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Ideal Multilinear Maps Based on Ideal Lattices
... Cryptographic multilinear maps have many applications, such as multipartite key exchange and software ...ideal multilinear maps by using ideal lattices, which supports arbitrary multilinearity ... See full document
22
Fully Secure Attribute Based Encryption from Multilinear Maps
... However, Waters needs stronger tools and assumptions. In particular, he builds his FE scheme from indistinguishability obfuscation (IO) [GGH + 13b]. While tremendous progress has been made on justifying the ... See full document
25
GGHLite: More Efficient Multilinear Maps from Ideal Lattices
... A very important open question is to gain a better understanding of the complexity of the canonical Ext-GCDH problem and its variants, or to modify GGHLite to make its security based on more well studied problems. Our ... See full document
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Cryptanalysis of GGH15 Multilinear Maps
... Multilinear maps. For the past couple of years, cryptographic multilinear maps have found numerous applications in the design of cryptographic protocols, the most salient example of which is ... See full document
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Abstract . Recently, Coron presented an attack of GGH15 multilinear maps, which breaks the
... Multilinear maps have many applications including one-round multipartite key exchange [GGH13, BZ14], witness encryption [GGSW13] and program obfuscation ...cryptographic multilinear ... See full document
10
Identity-Based Key-Encapsulation Mechanism from Multilinear Maps
... “leveled” multilinear map setting and prove its security under multilinear decisional Diffie-Hellmanin assumption in the selective-ID ...a multilinear group family from ideal lattices, and mod- ify ... See full document
10
Attribute-Based Encryption for Circuits from Multilinear Maps
... Difficulties in achieving Circuit ABE and the Backtracking Attack. To understand why achieving ABE for general circuits has remained a difficult problem, it is instructive to examine the mechanisms of existing ... See full document
24
Multilinear Maps Using Ideal Lattices without Encodings of Zero
... of multilinear maps, which is an extension of bilinear ...bilinear maps, such as [SOK00, Jou00, BF03, Sma03] and multilinear maps [BS03, RS09, PTT10, ...bilinear maps, which come ... See full document
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