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[PDF] Top 20 New multilinear maps from ideal lattices

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New  multilinear  maps  from  ideal  lattices

New multilinear maps from ideal lattices

... suffered from the weak discrete logarithm attack presented by authors themselves ...procedure from [GGH13a] is replaced by a quadratic (or higher-degree) ... See full document

20

New  Constructions  of  Revocable  Identity-Based  Encryption  from  Multilinear  Maps

New Constructions of Revocable Identity-Based Encryption from Multilinear Maps

... parameters from O(N + λ ) to O(log N + λ ) group elements by using the BWZ-PKBE scheme [12], which has short public ...a new direction to build an efficient RIBE scheme and its ... See full document

40

Efficient  Key-policy  Attribute-based  Encryption  for  General  Boolean  Circuits  from  Multilinear  Maps

Efficient Key-policy Attribute-based Encryption for General Boolean Circuits from Multilinear Maps

... leveled multilinear maps [6] or on the LWE problem [7, ...a new KP-ABE scheme based on a very particular and simple form of leveled multilinear maps, called chained multilinear ... See full document

19

CONSTRUCTION OF NESTED REAL IDEAL LATTICES FOR INTERFERENCE CHANNEL CODING

CONSTRUCTION OF NESTED REAL IDEAL LATTICES FOR INTERFERENCE CHANNEL CODING

... real lattices constructed through extension fields to develop a new methodology to perform a real-valued channel quantiza- tion in order to realize interference alignment (IA) [1] onto a real ideal ... See full document

30

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

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

... on lattices, while others [GGH + 13b], [GGHZ14], [Att14] employ multilinear map [GGH13a], [CLT13], ...the multilinear map-based scheme of [BGG + 14]), the number of ciphertext components proliferates ... See full document

25

Security  Analysis  of  Multilinear  Maps  over  the  Integers

Security Analysis of Multilinear Maps over the Integers

... Abstract. At Crypto 2013, Coron, Lepoint, and Tibouchi (CLT) proposed a practical Graded Encod- ing Scheme (GES) over the integers, which has very similar cryptographic features to ideal multilinear ... See full document

27

Multilinear  maps  via  secret  ring

Multilinear maps via secret ring

... Garg, Gentry, and Halevi (GGH13) described the first candidate construction of multilinear maps from ideal lattices [16]. Following the framework of GGH13, Coron, Lepoint, and Tibouchi ... See full document

18

Zeroizing   without   zeroes:  Cryptanalyzing  multilinear  maps  without  encodings  of  zero

Zeroizing without zeroes: Cryptanalyzing multilinear maps without encodings of zero

... [GGH13a] Sanjam Garg, Craig Gentry, and Shai Halevi. Candidate multilinear maps from ideal lattices. In Thomas Johansson and Phong Q. Nguyen, editors, Advances in Cryptology - EUROCRYPT ... See full document

9

Immunizing  Multilinear  Maps  Against  Zeroizing  Attacks

Immunizing Multilinear Maps Against Zeroizing Attacks

... The new re-randomization procedure invoked by ...distribution from the procedure ...the new setup procedure for public-encoding (Section 4.3.1), we choose new randomizer lattices ...our ... See full document

36

Two-message  Key  Exchange  with  Strong  Security  from  Ideal  Lattices

Two-message Key Exchange with Strong Security from Ideal Lattices

... Generic TMKE Scheme. Our construction is similar to the KF scheme (see Figure 1), but in our new KEM based TMKE construction, we need two kinds of KEM. The first KEM is required to satisfy IND-CPA and ... See full document

26

Cryptanalysis  of  Two  Candidate  Fixes  of  Multilinear  Maps  over  the  Integers

Cryptanalysis of Two Candidate Fixes of Multilinear Maps over the Integers

... Now, 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, . . . , 1) ∈ R. Without loss of generality and for simplicity, we assume k = 1 as in ... See full document

6

Attribute-Based  Encryption  for  Circuits  from  Multilinear  Maps

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 ...study new constructions using a ... See full document

24

Strongly  Secure  Authenticated  Key  Exchange  from  Ideal  Lattices

Strongly Secure Authenticated Key Exchange from Ideal Lattices

... The traditional KE protocols include: KE based on discrete logarithm problems, KE based on RSA problems, KE based on key encapsulation mechanism (KEM), AKE based on bilinear pairings, and KE based on signature or MAC, ... See full document

25

Implementing  Candidate  Graded  Encoding  Schemes  from  Ideal  Lattices

Implementing Candidate Graded Encoding Schemes from Ideal Lattices

... Abstract. Multilinear maps have become popular tools for designing cryptographic schemes since a first approximate realisation candidate was proposed by Garg, Gentry and Halevi ...approximate ... See full document

23

Cryptanalysis  of  Gu's  ideal  multilinear  map

Cryptanalysis of Gu's ideal multilinear map

... Multilinear maps are a very powerful tool in ...etc. Multilinear maps were first introduced by Boneh and Silverberg in 2003 ...candidate multilinear map for enabling promising ... See full document

6

General  Circuit  Realizing  Compact  Revocable  Attribute-Based  Encryption  from  Multilinear  Maps

General Circuit Realizing Compact Revocable Attribute-Based Encryption from Multilinear Maps

... employing multilinear map [GGH13a], [CLT13], [CLT15], we have adopted a new technique [BGW05], [BWZ14] for enforcing direct user revocation in the context of ... See full document

23

Sieving  for  Shortest  Vectors  in  Ideal  Lattices:  a  Practical  Perspective

Sieving for Shortest Vectors in Ideal Lattices: a Practical Perspective

... algorithm from a practical point of ...ideas from both Milde and Schneider [41] and Ishiguro et ...deviate from [41] how sampled and reduced vectors are ...sample new vectors and collect ... See full document

20

On  the  Equivalence  of  Obfuscation   and  Multilinear  Maps

On the Equivalence of Obfuscation and Multilinear Maps

... conclude from our results that constructions of iO must be based on candidates for multilinear ...a new method for constructing iO without multilinear maps is found, this method would ... See full document

19

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

... The seed for a ∆RG consists of one public and two private components, and perturbation- resilience is required even when the adversary has access to the public component of the seed. Furthermore, the use of cubic (as ... See full document

108

Cryptanalysis  of  GGH15  Multilinear  Maps

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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