[PDF] Top 20 Multilinear Maps Using Ideal Lattices without Encodings of Zero
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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
28
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
33
GGHLite: More Efficient Multilinear Maps from Ideal Lattices
... ness” requirement for re-randomized encodings is an alternative to the “closeness to a canonical distribution” requirement for re-randomized encodings in Definition 3.2 and Definition 6.1. In the case of ... See full document
33
New Multilinear Maps over the Integers
... of multilinear maps based on ideal lattices [GGH13a] (which we will refer to as GGH), Coron, Lepoint and Tibouchi proposed a second construction over the integers (CLT) using the same ... See full document
30
Graph-Induced Multilinear Maps from Lattices
... of ideal lattices and integers could contribute to a better understanding of the candidate itself, reducing the risk of unforeseen algebraic crypt-analytical ...side, using our construction is ... See full document
29
Cryptanalysis of Two Candidate Fixes of Multilinear Maps over the Integers
... level-0 encodings can be turned in level-k encodings for any k 6 κ using (powers of) a public level-1 encoding y of 1 = (1, ...R. Without loss of generality and for simplicity, we assume k = 1 ... See full document
6
Multilinear maps via secret ring
... new multilinear map without encodings of zero, which is a variant of ...no encodings of zero are given in the public parameters, MPKE based on Gu map-1 [30] suc- cessfully avoids ... See full document
18
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
... when using a single zero-testing ...the zero test, including against invalid encodings, several zero-testing elements can be utilized to prevent the use of invalid ...for ideal ... See full document
27
Security Analysis of Cryptosystems Using Short Generators over Ideal Lattices
... cryptosystems using short generators over ideal lattices such as candidate multilinear maps by Garg, Gentry and Halevi and fully homomorphic encryption by Smart and ...an ideal ... See full document
30
Attribute-Based Encryption for Circuits from Multilinear Maps
... result. Using ideal lattices they produced a candidate mechanism that would approximate or be the moral equivalent of multilinear maps for many ...constructions using a ... See full document
24
Implementing Candidate Graded Encoding Schemes from Ideal Lattices
... Table 1. Computing a κ-level asymmetric multilinear maps with our implementation without encodings of zero. Column λ gives the minimum security level we accepted, column λ 1 gives the ... See full document
23
New multilinear maps from ideal lattices
... new multilinear map, which supports the applications for public tools of encoding in the GGH13 map, such as MPKE and ...WE. Using switching modulo and three zero-testing parameters, our construction ... See full document
20
Candidate Multilinear Maps from Ideal Lattices
... over ideal lattices uses noisy encodings, where the noise increases with every operation and correctness is only ensured as long as it does not increase too ...the zero-test and the extraction ... See full document
57
Zeroizing without zeroes: Cryptanalyzing multilinear maps without encodings of zero
... our zero-test ...by encodings relative to {2} , {3} , ...re-randomize encodings (at least) relative to the singletons {1} and {2} , so we would like to provide encodings of zero ... See full document
9
Ideal Multilinear Maps Based on Ideal Lattices
... of multilinear maps from ideal lattices ...whose encodings are randomized with noise and bounded with a fixed maximum degree, is different from the ideal multilinear ... See full document
22
On the Relationship Between Two Embeddings of Ideals into Geometric Space and the Shortest Vector Problem in Principal Ideal Lattices.
... cyclic lattices of dimension n could be sped up by a factor of ...of lattices with a circular structure, such as the NTRU lattice [48] and cyclic lattices ...of using “rotations” of sampled ... See full document
131
Authenticated Key Exchange from Ideal Lattices
... By utilizing many useful properties of Ring-LWE problems and discrete Gaussian distributions, we establish an approach to combine both the static and ephemeral public/secret keys, in a manner similar to HMQV [46]. Thus, ... See full document
38
Topological Zero-Modes and States of Self-Stress in 3D Lattices
... The rigidity matrix is an interesting object, as it gives us some insights on how the geometry affects the behaviour of the system, before any specific dy- namics are introduced. In particular, the null-space of Q T ... See full document
58
Some Characterizations of Semi Prime Ideal in Lattices
... x ∈ x ∧ y ∈ J and x ∧ z ∈ J imply x ∧ ( y ∨ z ) ∈ J . In this paper, for a subset A of L, we define A J = { x ∈ L : x ∧ a = J for some a ∈ A } . Here we prove that for a meet sub semi lattice A of a lattice L, A J is an ... See full document
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