Multilinear map
Cryptanalysis of Gu's ideal multilinear map
... etc. Multilinear maps were first introduced by Boneh and Silverberg in 2003 ...candidate multilinear map for enabling promising ...candidate multilinear map [5], which we will refer to ...
6
Quantum Attacks against Indistinguishablility Obfuscators Proved Secure in the Weak Multilinear Map Model
... linear map is somehow ideal, hence giving us a security proof in some idealized ...multilinear map. So when the obfuscators are instantiated with the GGH13 multilinear map, which is ...
40
Multilinear Map via Scale-Invariant FHE: Enhancing Security and Efficiency
... Bilinear Map via Ring Encoding ...self-bilinear map as we discussed above, then applying the Cheon-Lee transformation we have a candidate multilinear ...
36
Statistical Zeroizing Attack: Cryptanalysis of Candidates of BP Obfuscation over GGH15 Multilinear Map
... Indistinguishability obfuscation (iO) is one of the most powerful tools used to construct many cryptographic applications such as non-interactive multiparty key exchange and functional encryp- tion [5, 17, 33]. While ...
36
Cryptanalyses of Branching Program Obfuscations over GGH13 Multilinear Map from the NTRU Problem
... Abstract. In this paper, we propose cryptanalyses of all existing indis- tinguishability obfuscation (iO) candidates based on branching programs (BP) over GGH13 multilinear map for all recommended parameter ...
27
Cryptanalysis on the Multilinear Map over the Integers and its Related Problems
... (approximate) multilinear map of Coron, Lepoint and Tibouchi (CLT): We show that by multiplying encodings of zero with zero-testing parameters properly in the CLT scheme, one can obtain a required input of ...
18
On Kilian's Randomization of Multilinear Map Encodings
... new multilinear map scheme on top of CLT13 that is secure in this ...new multilinear map ...for multilinear map degree and number of public encodings), so it is difficult to ...
30
Cryptanalysis of the New Multilinear Map over the Integers
... the multilinear map over ideal lattices by Garg, Gentry and Halevi [GGH13a], another construction over the integers was proposed by Coron, Le- point and Tibouchi ...their multilinear map over ...
27
Immunizing Multilinear Maps Against Zeroizing Attacks
... The security of CLT. In important recent work, Cheon, Han, Lee, Ryu, and Stehl´ e [CHL + 14] presented an attack on the CLT multilinear map. The attack generalizes the zeroizing attack of Garg, Gentry, and ...
36
Multilinear maps via secret ring
... (Gu map-1) [24] constructed a new multilinear map without encodings of zero, which is a variant of ...Gu map-1 [30] suc- cessfully avoids the attack in [28]. However, Gu map-1 cannot be ...
18
New Multilinear Maps over the Integers
... subset of the public elements needed for re-randomization and combine them pairwise to generate the full public parameters, as in [CLT13]; such an optimization was originally described in [GH11]. With these optimizations ...
30
Cryptanalysis of the New CLT Multilinear Maps
... In this section, we briefly present Coron et al.’s original multilinear maps (for short, CLT13) [CLT13] and its cryptanalysis [CHL + 15]. CLT13 is almost the same as the new multilinear map. The main ...
15
New multilinear maps from ideal lattices
... new multilinear map using ideal ...GGH13 map in three aspects: introducing new noise term by using three-encodings, modifying zero-testing parameter, and using switching modulus ...
20
Norm Attaining Multilinear Forms on L1(μ)
... The Bishop-Phelps theorem 1 asserts that the set of norm attaining linear functionals on a Banach space X is dense in the dual space X ∗ . Some authors have considered the question of the density of norm attaining ...
6
Multilinear Fourier multipliers on variable Lebesgue spaces
... In this paper, we study the properties of a bilinear multiplier space. We give a necessary condition for a continuous bounded function to be a bilinear multiplier on variable exponent Lebesgue spaces, and we prove the ...
15
Best constants for certain multilinear integral operators
... In this section we wish to revisit some important inequalities due to Hilbert, Hardy- Littlewood-P ´olya, and Hardy. We will discuss the possible multilinear extensions of these inequalities and provide formulas ...
12
Continuity of multilinear operators on Triebel Lizorkin spaces
... that multilinear oper- ators are of great interest in harmonic analysis and have been widely studied by many authors (see [2–5, ...the multilinear operators on the Triebel-Lizorkin ...
11
Ideal Multilinear Maps Based on Ideal Lattices
... of multilinear maps has been a long-standing open problem since ...cryptographic multilinear maps [BS03, RS09, PTT10, ...of multilinear maps, which are an extension of bilinear ...
22
On the cardinality of solutions of multilinear differential equations and applications
... ON THE CARDINALITY OF SOLUTIONS OF MULTILINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS.. ARGYROS Department of Mathematics University of Iowa Iowa City, Iowa 5222 U.S.A..[r] ...
10
Music genre classification: a multilinear approach
... In Section 2, the computational auditory model and the cortical representation of sound are described. Basic multi- linear algebra and multilinear subspace analysis techniques are briefly introduced in Section 3. ...
7