[PDF] Top 20 Ideal Multilinear Maps Based on Ideal Lattices
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Ideal Multilinear Maps Based on Ideal Lattices
... of multilinear maps from ideal lattices ...the ideal multilinear maps envisioned by Boneh and Silverberg ...(MPKE) based on GGH was broken by Hu and Jia ... See full document
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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 actually expected ... See full document
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Group Signatures from Lattices: Simpler, Tighter, Shorter, Ring-based
... scheme based on ideal lattices, in which the public key and signature both have bit- size O(n e ·log N ), for security parameter n, and for group of N ... See full document
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On the Relationship Between Two Embeddings of Ideals into Geometric Space and the Shortest Vector Problem in Principal Ideal Lattices.
... Ideal lattices are now widely deployed in lattice-based cryptographic constructions, but an open question is whether or not they offer the same security as regular lattices ...Voronoi-cell ... See full document
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Cryptanalysis of GGH15 Multilinear Maps
... proposed multilinear maps scheme, GGH15, does not fit the same graded encoding framework as the earlier candidates, one needs new constructions to use it to instantiate cryptographic ...CLT13, based ... See full document
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Sieving for Shortest Vectors in Ideal Lattices: a Practical Perspective
... The nodes in BlueCrystal Phase 2 are equipped with two 2.8 GHz quad-core Intel Harper- town E5462 processors with 8 GB RAM per node (1 GB per core). They are connected via a QLogic Infinipath high-speed network. The ... See full document
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On the Equivalence of Obfuscation and Multilinear Maps
... be based on candidates for multilinear ...without multilinear maps is found, this method would also necessarily yield multilinear maps in the form of ... See full document
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NTRU-LPR IND-CPA: A New Ideal Lattices-based Scheme
... NEWHOPE-CPA-PKE is a candidate for the NIST Post-Quantum call [41] proposed by E. Alkim, R. Avanzi, J. Bos, L. Ducas, A. d. l. Piedra, T. Pöppel- mann, P. Schwabe and D. Stebila. It is a variant of the NewHope-Simple ... See full document
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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 ...constructions based on constant degree composite order multilinear ... See full document
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Authenticated Key Exchange from Ideal Lattices
... As mentioned above, HMQV has many nice properties such as only two-pass messages, implicit key authentication, high efficiency, and without using any explicit entity authentication techniques (e.g., signa- tures). Our ... See full document
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Strongly Secure Authenticated Key Exchange from Ideal Lattices
... schemes based on lattices have appeared as a prospective replacement to more traditional ones based on the factoring and discrete logarithm ...Lattice- based cryptography computations should ... See full document
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Attribute-Based Encryption for Circuits from Multilinear Maps
... Using ideal lattices they produced a candidate mechanism that would approximate or be the moral equivalent of multilinear maps for many ...a multilinear map ... See full document
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A Provably Secure Variant of ETRU Based on Extended Ideal Lattices Over Direct Product of Dedekind Domains
... Provably secure lattice-based schemes have a consid- erable feature that their securities are proved assum- ing a basic lattice problem is hard in the worst-case. It originated in 1996 with Ajtai’s acclaimed ... See full document
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Two-message Key Exchange with Strong Security from Ideal Lattices
... It is not hard to see that our KCI attack against the concrete KF scheme can be seen as a variant of chosen ciphertext attack against KEM. Hence, in order to fix the KF scheme, we particularly exploit OT-IND-CCA2 KEM as ... See full document
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ILTRU: An NTRU-Like Public Key Cryptosystem Over Ideal Lattices
... provably based on the worst case hardness of the approximate both Shortest Vector Problem (SVP) and Closest Vector Problem (CVP) in some structured lattices, called ideal ...cryptosystem based ... See full document
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On Ideal Lattices and Learning with Errors Over Rings
... Applications. As mentioned above, a remarkable number and variety of cryptographic constructions have been based on standard LWE. Most of these applications can be made more efficient, and sometimes even practical ... See full document
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Security Analysis of Cryptosystems Using Short Generators over Ideal Lattices
... proposed a construction of fully homomorphic encryption (FHE) using ideal lattices. After Gentry’s breakthrough, a number of variants of Gentry’s original FHE scheme have been proposed (in particular, ... See full document
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Asymptotically Efficient Lattice-Based Digital Signatures
... instantiated based on both general and ideal (e.g. cyclic) lattices, and the resulting signature schemes are provably secure based on the worst-case hardness of approximating the short- est ... See full document
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Independent increment processes: A multilinearity preserving property
... way based on the algebraic product ...introduce multilinear mappings to extend the definition of poly- ...fact, multilinear maps, and the corresponding definition of ... See full document
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Multilinear Maps from Obfuscation
... In our constructions we will be relying on special types of non-interactive zero-knowledge proof systems [GS08]. These systems have “dual-mode” common reference string (CRS) generation algorithms that produce ... See full document
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