Attacks on Multilinear Maps

Attacks on Multilinear Maps

Author: William B. Cyr

Publisher:

Published: 2015

Total Pages: 44

ISBN-13:

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In this thesis, I explore the current multilinear map candidates and attacks against them. This involves analyzing the three proposals for multilinear maps which are based on ideal lattices, integers, and standard lattices. The attacks exploit the geometry of the lattices and linearity of the integers to break security. I also compare the applications of these schemes with what is required for attacks. Key agreement seems to need certain features of multilinear maps which expose vulnerabilities while other applications like indistinguishability obfuscation. I analyze the attacks against these maps and show why they are not able to break the program obfuscation application of multilinear maps.


Theory of Cryptography

Theory of Cryptography

Author: Amos Beimel

Publisher: Springer

Published: 2018-11-07

Total Pages: 732

ISBN-13: 3030038106

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The two-volume set of LNCS 11239 and LNCS 11240 constitutes the revised proceedings of the 16th International Conference on Theory of Cryptography, TCC 2018, held in Panaji, India, in November 2018. The total of 50 revised full papers presented in the proceedings were carefully reviewed and selected from 168 submissions. The Theory of Cryptography Conference deals with the paradigms, approaches, and techniques used to conceptualize natural cryptographic problems and provide algorithmic solutions to them and much more.


Theory of Cryptography

Theory of Cryptography

Author: Martin Hirt

Publisher: Springer

Published: 2016-10-24

Total Pages: 586

ISBN-13: 3662536447

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The two-volume set LNCS 9985 and LNCS 9986 constitutes the refereed proceedings of the 14th International Conference on Theory of Cryptography, TCC 2016-B, held in Beijing, China, in November 2016. The total of 45 revised full papers presented in the proceedings were carefully reviewed and selected from 113 submissions. The papers were organized in topical sections named: TCC test-of-time award; foundations; unconditional security; foundations of multi-party protocols; round complexity and efficiency of multi-party computation; differential privacy; delegation and IP; public-key encryption; obfuscation and multilinear maps; attribute-based encryption; functional encryption; secret sharing; new models.


Candidate Multilinear Maps

Candidate Multilinear Maps

Author: Sanjam Garg

Publisher: Morgan & Claypool Publishers

Published: 2015-03-01

Total Pages: 125

ISBN-13: 162705538X

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The aim of cryptography is to design primitives and protocols that withstand adversarial behavior. Information theoretic cryptography, how-so-ever desirable, is extremely restrictive and most non-trivial cryptographic tasks are known to be information theoretically impossible. In order to realize sophisticated cryptographic primitives, we forgo information theoretic security and assume limitations on what can be efficiently computed. In other words we attempt to build secure systems conditioned on some computational intractability assumption such as factoring, discrete log, decisional Diffie-Hellman, learning with errors, and many more. In this work, based on the 2013 ACM Doctoral Dissertation Award-winning thesis, we put forth new plausible lattice-based constructions with properties that approximate the sought after multilinear maps. The multilinear analog of the decision Diffie-Hellman problem appears to be hard in our construction, and this allows for their use in cryptography. These constructions open doors to providing solutions to a number of important open problems.


Advances in Cryptology – EUROCRYPT 2020

Advances in Cryptology – EUROCRYPT 2020

Author: Anne Canteaut

Publisher: Springer Nature

Published: 2020-05-01

Total Pages: 805

ISBN-13: 3030457214

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The three volume-set LNCS 12105, 12106, and 12107 constitute the thoroughly refereed proceedings of the 39th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2020, which was due to be held in Zagreb, Croatia, in May 2020. The conference was held virtually due to the COVID-19 pandemic. The 81 full papers presented were carefully reviewed and selected from 375 submissions. The papers are organized into the following topical sections: invited talk; best paper awards; obfuscation and functional encryption; symmetric cryptanalysis; randomness extraction; symmetric cryptography I; secret sharing; fault-attack security; succinct proofs; generic models; secure computation I; quantum I; foundations; isogeny-based cryptography; lattice-based cryptography; symmetric cryptography II; secure computation II; asymmetric cryptanalysis; verifiable delay functions; signatures; attribute-based encryption; side-channel security; non-interactive zero-knowledge; public-key encryption; zero-knowledge; quantum II.


Advances in Cryptology – ASIACRYPT 2019

Advances in Cryptology – ASIACRYPT 2019

Author: Steven D. Galbraith

Publisher: Springer Nature

Published: 2019-11-22

Total Pages: 675

ISBN-13: 3030346218

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The three-volume set of LNCS 11921,11922, and 11923 constitutes the refereed proceedings of the 25th International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2019, held in Kobe, Japan, in December 2019. The 71 revised full papers presented were carefully reviewed and selected from 307 submissions. They are organized in topical sections on Lattices; Symmetric Cryptography; Isogenies; Obfuscation; Multiparty Computation; Quantum; E-cash and Blockchain; Codes; Authenticated Encryption; Multilinear Maps; Homomorphic Encryption; Combinatorial Cryptography; Signatures; Public Key Encryption; Side Channels; Functional Encryption; Zero Knowledge.


Advances in Cryptology – CRYPTO 2018

Advances in Cryptology – CRYPTO 2018

Author: Hovav Shacham

Publisher: Springer

Published: 2018-08-11

Total Pages: 788

ISBN-13: 3319968785

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The three volume-set, LNCS 10991, LNCS 10992, and LNCS 10993, constitutes the refereed proceedings of the 38th Annual International Cryptology Conference, CRYPTO 2018, held in Santa Barbara, CA, USA, in August 2018. The 79 revised full papers presented were carefully reviewed and selected from 351 submissions. The papers are organized in the following topical sections: secure messaging; implementations and physical attacks prevention; authenticated and format-preserving encryption; cryptoanalysis; searchable encryption and differential privacy; secret sharing; encryption; symmetric cryptography; proofs of work and proofs of stake; proof tools; key exchange; symmetric cryptoanalysis; hashes and random oracles; trapdoor functions; round optimal MPC; foundations; lattices; lattice-based ZK; efficient MPC; quantum cryptography; MPC; garbling; information-theoretic MPC; oblivious transfer; non-malleable codes; zero knowledge; and obfuscation.


Advances in Cryptology – EUROCRYPT 2016

Advances in Cryptology – EUROCRYPT 2016

Author: Marc Fischlin

Publisher: Springer

Published: 2016-04-27

Total Pages: 879

ISBN-13: 3662498901

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The two-volume proceedings LNCS 9665 + LNCS 9666 constitutes the thoroughly refereed proceedings of the 35th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2016, held in Vienna, Austria, in May 2016. The 62 full papers included in these volumes were carefully reviewed and selected from 274 submissions. The papers are organized in topical sections named: (pseudo)randomness; LPN/LWE; cryptanalysis; masking; fully homomorphic encryption; number theory; hash functions; multilinear maps; message authentification codes; attacks on SSL/TLS; real-world protocols; robust designs; lattice reduction; latticed-based schemes; zero-knowledge; pseudorandom functions; multi-party computation; separations; protocols; round complexity; commitments; lattices; leakage; in differentiability; obfuscation; and automated analysis, functional encryption, and non-malleable codes.


Progress in Cryptology – INDOCRYPT 2018

Progress in Cryptology – INDOCRYPT 2018

Author: Debrup Chakraborty

Publisher: Springer

Published: 2018-12-05

Total Pages: 406

ISBN-13: 3030053784

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This book constitutes the refereed proceedings of the 19th International Conference on Cryptology in India, INDOCRYPT 2018, held in New Delhi, India, in December 2018. The 20 revised full papers presented in this book were carefully reviewed and selected from 60 submissions. The focus of the conference includes works on outsourced computation and searchable encryption; symmetric key cryptography and format preserving encryption; fault attacks and Hash functions; post quantum cryptography; asymmetric key cryptography and cryptanalysis; symmetric key cryptanalysis; theory; and secure computations and protocols.


Advances in Cryptology – ASIACRYPT 2017

Advances in Cryptology – ASIACRYPT 2017

Author: Tsuyoshi Takagi

Publisher: Springer

Published: 2017-11-22

Total Pages: 481

ISBN-13: 3319707000

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The three-volume set LNCS 10624, 10625, 10626 constitutes the refereed proceedings of the 23rd International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2017, held in Hong Kong, China, in December 2017.The 65 revised full papers were carefully selected from 243 submissions. They are organized in topical sections on Post-Quantum Cryptography; Symmetric Key Cryptanalysis; Lattices; Homomorphic Encryptions; Access Control; Oblivious Protocols; Side Channel Analysis; Pairing-based Protocols; Quantum Algorithms; Elliptic Curves; Block Chains; Multi-Party Protocols; Operating Modes Security Proofs; Cryptographic Protocols; Foundations; Zero-Knowledge Proofs; and Symmetric Key Designs.