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[PDF] Top 20 Immunizing Multilinear Maps Against Zeroizing Attacks

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Immunizing  Multilinear  Maps  Against  Zeroizing  Attacks

Immunizing Multilinear Maps Against Zeroizing Attacks

... for Maps with Arbitrary ...poly-degree multilinear maps (Definition ...known multilinear map constructions, including CLT, due to the noise ...new multilinear maps are discovered ... See full document

36

New  multilinear  maps  from  ideal  lattices

New multilinear maps from ideal lattices

... The GGH13 scheme is first suffered from the weak discrete logarithm attack presented by authors themselves [GGH13]. By using the weak-DL attack, one can get related information of some secret parameters in the scheme ... See full document

20

Multilinear  Map  via  Scale-Invariant  FHE:  Enhancing  Security   and  Efficiency

Multilinear Map via Scale-Invariant FHE: Enhancing Security and Efficiency

... security against the zeroizing attacks (EUROCRYPT 2015, IACR-Eprint 2015/934, IACR-Eprint 2015/941), which totally broke Coron, Lepoint, and Tibouchi’s integer-based construction (CRYPTO 2013, ... See full document

36

Statistical  Zeroizing  Attack:  Cryptanalysis  of  Candidates  of  BP  Obfuscation  over  GGH15  Multilinear  Map

Statistical Zeroizing Attack: Cryptanalysis of Candidates of BP Obfuscation over GGH15 Multilinear Map

... of zeroizing attacks does not damage the security of current iO constructions from the candidate multilinear ...of zeroizing attacks [9–14,32], which employs algebraic relations of the ... See full document

36

Graph-Induced  Multilinear  Maps  from  Lattices

Graph-Induced Multilinear Maps from Lattices

... Roughly speaking, previous works all followed a similar strategy for obfuscating branching programs. Starting from a given oblivious branching program, encoded as permutation matrices, they all applied Kilian’s ... See full document

29

Cryptanalysis  of  the  New  CLT  Multilinear  Maps

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

Quantum  Attacks  against  Indistinguishablility  Obfuscators  Proved  Secure  in  the  Weak  Multilinear  Map  Model

Quantum Attacks against Indistinguishablility Obfuscators Proved Secure in the Weak Multilinear Map Model

... underlying multilinear map (to try to avoid zeroizing at- tacks) and prove VBB security of their obfuscator in some idealised ...But zeroizing attacks against multilinear ... See full document

40

New  Constructions  of  Revocable  Identity-Based  Encryption  from  Multilinear  Maps

New Constructions of Revocable Identity-Based Encryption from Multilinear Maps

... Security against chosen-ciphertext attacks (CCA security) is similar to se- curity against chosen-plaintext attacks (CPA security) except that an adversary can request a ciphertext decryption ... See full document

40

New  Multilinear  Maps  over  the  Integers

New Multilinear Maps over the Integers

... Extension. A similar attack applies against two independent approaches to fix the CLT scheme, [GGHZ14, Sec. 7] and [BWZ14], proposed shortly after the Cheon et al. attack. Namely, although the two countermeasures ... See full document

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Abstract . Recently, Coron presented an attack of GGH15 multilinear maps, which breaks the

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 maps was ... See full document

10

Compact  Attribute-Based  Encryption   and  Signcryption  for  General  Circuits  from  Multilinear  Maps

Compact Attribute-Based Encryption and Signcryption for General Circuits from Multilinear Maps

... construction against chosen plaintext attack (CPA) under the Multilinear Decisional Diffie-Hellman ...current multilinear map candidates has been justified by means of rigorous cryptanalysis rather ... See full document

25

On  the  Equivalence  of  Obfuscation   and  Multilinear  Maps

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

19

Zeroizing   without   zeroes:  Cryptanalyzing  multilinear  maps  without  encodings  of  zero

Zeroizing without zeroes: Cryptanalyzing multilinear maps without encodings of zero

... The attacks that we sketched above point to the inadequacy of the generic graded-encoding model as used in recent ...these attacks are highly algebraic and yet they are not captured by that generic ... See full document

9

Return  of  GGH15:  Provable  Security  Against  Zeroizing  Attacks

Return of GGH15: Provable Security Against Zeroizing Attacks

... asymmetric multilinear maps such as GGH13 and CLT13, plaintexts are encoded relative to subsets ` ⊆ [κ], where κ is a positive ...“mixed-input” attacks [22, ...“Graph-Induced Multilinear ... See full document

40

Zeroizing  Without  Low-Level  Zeroes:  New  MMAP  Attacks   and  Their  Limitations

Zeroizing Without Low-Level Zeroes: New MMAP Attacks and Their Limitations

... “approximate multilinear maps” candidates suffer from zeroizing attacks, where encodings of zero at levels below the top (zero-test) level can be exploited to recover information that should ... See full document

31

Cryptanalysis  of  Two  Candidate  Fixes  of  Multilinear  Maps  over  the  Integers

Cryptanalysis of Two Candidate Fixes of Multilinear Maps over the Integers

... attack against the multilinear map of Coron, Lepoint and Tibouchi (CLT), two independent approaches to thwart this attack have been proposed on the cryptology ePrint archive, due to Garg, Gentry, Halevi and ... See full document

6

Indistinguishability  Obfuscation  Without  Multilinear  Maps:  iO  from   LWE,  Bilinear  Maps,   and  Weak  Pseudorandomness

Indistinguishability Obfuscation Without Multilinear Maps: iO from LWE, Bilinear Maps, and Weak Pseudorandomness

... ∆RG maps n integers to m integers, and has the property that for any sufficiently short vector a ∈ Z m , all efficient adversaries must fail to distinguish the distributions ∆RG(s) and (∆RG(s)+a), with at least ... See full document

108

Fully  Secure  Attribute  Based  Encryption  from  Multilinear  Maps

Fully Secure Attribute Based Encryption from Multilinear Maps

... At a very high level, our basic ABE scheme is reminiscent of Yao’s garbled circuits, with 4 gadgets per gate of the circuit, but where the decrypter in our scheme puts together the appropriate subset of gate gadgets like ... See full document

25

GGHLite:  More  Efficient  Multilinear  Maps  from  Ideal  Lattices

GGHLite: More Efficient Multilinear Maps from Ideal Lattices

... Bilinear maps (κ = 2) and multilinear maps have a lot of cryptographic applications, see [16,27,6] and [7,26,22,25], ...bilinear maps, built with pairings on elliptic curves, the construction ... See full document

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Multilinear  Maps  Using  Ideal  Lattices  without  Encodings  of  Zero

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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