Download or read book Thresholdizing Lattice Based Encryption Schemes written by Andrew Xia and published by . This book was released on 2019 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we examine a variety of constructions based on secret sharing techniques applied on lattice-based cryptographic primitives constructed from the learning with erros (LWE) assumption. Using secret sharing techniques from [BGG+17], we show how to construct paradigms of threshold multi-key fully homomorphic encryption and predicate encryption. Through multi-key fully homomorphic encryption [MW16] and threshold fully homomorphic encryption, we can construct a low-round multi party computation (MPC) scheme with guaranteed output delivery, assuming honest majority in the semi-honest and malicious settings. Applying the secret sharing scheme on predicate encryption constructions from LWE [GVW15], we can obtain a distributed predicate encryption scheme.
Download or read book Heuristically Secure Threshold Lattice based Cryptography Schemes written by and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In public-key encryption, a long-term private key can be an easy target for hacking and deserves extra protection. One way to enhance its security is to share the long-term private key among multiple (say n) distributed servers; any threshold number (t, t ≤ n) of these servers are needed to collectively use the shared private key without reconstructing it. As a result, an attacker who has compromised less than t servers will still not be able to reconstruct the shared private key.In this thesis, we studied threshold decryption schemes for lattice-based public-key en- cryption, which is one of the most promising post-quantum public-key encryption schemes. We developed threshold decryption schemes for Stinson's, the standard NTRU, and NTRU with Ring Learning with Errors (R-LWE) cryptosystems. Prototype implementations were developed for validating the functionality of these threshold decryption schemes. Our de- signs achieve heuristic security, and its security is supported by mechanisms similar to that of R-LWE.
Download or read book Lattice Based Cryptosystems written by Jiang Zhang and published by Springer Nature. This book was released on 2020-10-14 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on lattice-based cryptosystems, widely considered to be one of the most promising post-quantum cryptosystems and provides fundamental insights into how to construct provably secure cryptosystems from hard lattice problems. The concept of provable security is used to inform the choice of lattice tool for designing cryptosystems, including public-key encryption, identity-based encryption, attribute-based encryption, key change and digital signatures. Given its depth of coverage, the book especially appeals to graduate students and young researchers who plan to enter this research area.
Download or read book Lattices and their application in Cryptography written by Merve Cakir and published by GRIN Verlag. This book was released on 2017-01-23 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bachelor Thesis from the year 2014 in the subject Engineering - Computer Engineering, grade: 1,0, Hamburg University of Technology (Institut für Eingebettete Systeme), language: English, abstract: The aim of this thesis is to identify the characteristics of lattice-based cryptosystems. The use of encryption and signature schemes can be insecure considering attacks by a quantum computer and inefficient in the computation time. An alternative cryptography is proposed, which is based on worst-case lattice problems. The security and the hardness of the underlying computational problems will be analyzed by providing collaboration between the linear-algebra, complexity-theory and the public-key cryptography.
Download or read book Lattice based Threshold Cryptography written by Ferran Alborch Escobar and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the appearance of quantum computers, prime factoring and discrete logarithm based cryptography has been put in question, giving birth to the so called post-quantum cryptography. The goal of this bachelor's degree thesis is to develop a post-quantum threshold cryptosystem, in particular based on Ring Learning with Errors, a lattice-based problem.
Download or read book Advances in Cryptology ASIACRYPT 2021 written by Mehdi Tibouchi and published by Springer Nature. This book was released on 2021-11-30 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume proceedings LNCS 13090, 13091, 13092, and 13093 constitutes the proceedings of the 27th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2021, which was held during December 6-10, 2021. The conference was planned to take place in Singapore, but changed to an online format due to the COVID-19 pandemic. The total of 95 full papers presented in these proceedings was carefully reviewed and selected from 341 submissions. The papers were organized in topical sections as follows: Part I: Best paper awards; public-key cryptanalysis; symmetric key cryptanalysis; quantum security; Part II: physical attacks, leakage and countermeasures; multiparty computation; enhanced public-key encryption and time-lock puzzles; real-world protocols; Part III: NIZK and SNARKs; theory; symmetric-key constructions; homomorphic encryption and encrypted search; Part IV: Lattice cryptanalysis; post-quantum cryptography; advanced encryption and signatures; zero-knowledge proofs, threshold and multi-signatures; authenticated key exchange.
Download or read book Lattice based Cryptography written by Rikke Bendlin and published by . This book was released on 2013 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gadgets and Gaussians in Lattice Based Cryptography written by Nicholas James Genise and published by . This book was released on 2019 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation explores optimal algorithms employed in lattice-based cryptographic schemes. Chapter 2 focuses on optimizing discrete gaussian sampling on "gadget" and algebraic lattices. These gaussian sampling algorithms are used in lattice-cryptography's most efficient trapdoor mechanism for the SIS and LWE problems: "MP12" trapdoors. However, this trapdoor mechanism was previously not optimized and inefficient (or not proven to be statistically correct) for structured lattices (ring-SIS/LWE), lattice-cryptography's most efficient form, where the modulus is often a prime. The algorithms in this chapter achieve optimality in this regime and have (already) resulted in drastic efficiency improvement in independent implementations. Chapter 3 digs deeper into the gadget lattice's associated algorithms. Specifically, we explore efficiently sampling a simple subgaussian distribution on gadget lattices, and we optimize LWE decoding on gadget lattices. These subgaussian sampling algorithms correspond to a randomized bit-decomposition needed in lattice-based schemes with homomorphic properties like fully homomorphic encryption (FHE). Next, we introduce a general class of "Chinese Remainder Theorem" (CRT) gadgets. These gadgets allow advanced lattice-based schemes to avoid multi-precision arithmetic when the applications modulus is larger than 64 bits. The algorithms presented in the first two chapters improve the efficiency of many lattice-based cryptosystems: digital signature schemes, identity-based encryption schemes, as well as more advanced schemes like fully-homomorphic encryption and attribute-based encryption. In the final chapter, we take a closer look at the random matrices used in trapdoor lattices. First, we revisit the constants in the concentration bounds of subgaussian random matrices. Then, we provide experimental evidence for a simple heuristic regarding the singular values of matrices with entries drawn from commonly used distributions in cryptography. Though the proofs in this chapter are dense, cryptographers need a strong understanding of the singular values of these matrices since their maximum singular value determines the concrete security of the trapdoor scheme's underlying SIS problem.
Download or read book Advances in Cryptology CRYPTO 2018 written by Hovav Shacham and published by Springer. This book was released on 2018-08-11 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advances in Cryptology ASIACRYPT 2023 written by Jian Guo and published by Springer Nature. This book was released on 2023-12-17 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The eight-volume set LNCS 14438 until 14445 constitutes the proceedings of the 29th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2023, held in Guangzhou, China, during December 4-8, 2023. The total of 106 full papers presented in these proceedings was carefully reviewed and selected from 375 submissions. The papers were organized in topical sections as follows: Part I: Secure Multi-party computation; threshold cryptography; . Part II: proof systems - succinctness and foundations; anonymity; Part III: quantum cryptanalysis; symmetric-key cryptanalysis; Part IV: cryptanalysis of post-quantum and public-key systems; side-channels; quantum random oracle model; Part V: functional encryption, commitments and proofs; secure messaging and broadcast; Part VI: homomorphic encryption; encryption with special functionalities; security proofs and security models; Part VII: post-quantum cryptography; Part VIII: quantum cryptography; key exchange; symmetric-key design.
Download or read book Quantum Safe Cryptographic Primitives Using Lattice Based Algorithms written by Simran Choudhary and published by . This book was released on 2023-11-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lattice Based Cryptography written by Máire O'Neill and published by Springer. This book was released on 2024-10-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-based cryptography is a promising post-quantum cryptographic approach that can withstand potential attacks from future quantum computers. This book will introduce the theoretical mathematics that underpins lattice-based cryptography, such as the hard problems based on lattices upon which the security of lattice-based cryptosystems rely. It will provide examples of how these hard problems can be used to build basic lattice-based cryptographic primitives, namely encryption, digital signatures and key exchange, in addition to more advanced primitives such as identity-based encryption (IBE), attribute-based encryption (ABE) and hierarchical identity-based encryption (HIBE). Subsequently, the practical aspects of designing efficient and robust lattice-based cryptosystems in both hardware and software will be detailed. The resilience of lattice-based implementations to physical attacks will be discussed in addition to appropriate countermeasures that can be integrated into implementations to defend against such attacks. Finally, three case studies will be described to illustrate how lattice-based cryptography can be successfully embedded into real-world scenarios.
Download or read book Advances to Homomorphic and Searchable Encryption written by Stefania Loredana Nita and published by Springer Nature. This book was released on 2023-10-28 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the current state of the literature on the fields of homomorphic and searchable encryption, from both theoretical and practical points of view. Homomorphic and searchable encryption are still relatively novel and rapidly evolving areas and face practical constraints in the contexts of large-scale cloud computing and big data. Both encryption methods can be quantum-resistant if they use the right mathematical techniques. In fact, many fully homomorphic encryption schemes already use quantum-resistant techniques, such as lattices or characteristics of polynomials – which is what motivated the authors to present them in detail. On the one hand, the book highlights the characteristics of each type of encryption, including methods, security elements, security requirements, and the main types of attacks that can occur. On the other, it includes practical cases and addresses aspects like performance, limitations, etc. As cloud computing and big data already represent the future in terms of storing, managing, analyzing, and processing data, these processes need to be made as secure as possible, and homomorphic and searchable encryption hold huge potential to secure both the data involved and the processes through which it passes. This book is intended for graduates, professionals and researchers alike. Homomorphic and searchable encryption involve advanced mathematical techniques; accordingly, readers should have a basic background in number theory, abstract algebra, lattice theory, and polynomial algebra.
Download or read book Lattice Based Cryptography Security Foundations and Constructions written by Adeline Roux-Langlois and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-based cryptography is a branch of cryptography exploiting the presumed hardness of some well-known problems on lattices. Its main advantages are its simplicity, efficiency, and apparent security against quantum computers. The principle of the security proofs in lattice-based cryptography is to show that attacking a given scheme is at least as hard as solving a particular problem, as the Learning with Errors problem (LWE) or the Small Integer Solution problem (SIS). Then, by showing that those two problems are at least as hard to solve than a hard problem on lattices, presumed polynomial time intractable, we conclude that the constructed scheme is secure.In this thesis, we improve the foundation of the security proofs and build new cryptographic schemes. We study the hardness of the SIS and LWE problems, and of some of their variants on integer rings of cyclotomic fields and on modules on those rings. We show that there is a classical hardness proof for the LWE problem (Regev's prior reduction was quantum), and that the module variants of SIS and LWE are also hard to solve. We also give two new lattice-based group signature schemes, with security based on SIS and LWE. One is the first lattice-based group signature with logarithmic signature size in the number of users. And the other construction allows another functionality, verifier-local revocation. Finally, we improve the size of some parameters in the work on cryptographic multilinear maps of Garg, Gentry and Halevi in 2013.
Download or read book Attribute based Encryptions and Formal Verification of Lattice based Cryptography written by Xiong Fan and published by . This book was released on 2019 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early works of Ajtai (STOC'96) and Regev (STOC'05), lattice-based cryptography has proven to be a powerful building block in cryptography. My research focuses on further exploring the expressive power of lattice-based cryptography, as well as formal verification of lattice-based cryptographic schemes. Deniable encryption (Canetti et al. CRYPTO '97) is an intriguing primitive that provides a security guarantee against not only eavesdropping attacks as required by semantic security, but also stronger coercion attacks performed after the fact. The concept of deniability has later demonstrated useful and powerful in many other contexts, such as leakage resilience, adaptive security of protocols, security against selective opening attacks and coercion resistance in voting systems. Despite its conceptual usefulness, our understanding of how to construct deniable primitives under standard assumptions is restricted. We construct a flexibly bi-deniable Attribute-Based Encryption (ABE) scheme for all polynomial-size Branching Programs from Learning With Errors assumption (Regev STOC'05). Attribute based encryption (ABE) is an advanced encryption system with a built-in mechanism to generate keys associated with functions which in turn provide restricted access to encrypted data. Most of the known candidates of attribute based encryption model the functions as circuits. This results in significant efficiency bottlenecks, especially in the setting where the function associated with the ABE key admits a RAM program whose runtime is sublinear in the length of the attribute. We study the notion of attribute based encryption for random access machines (RAMs), introduced in the work of Goldwasser, Kalai, Popa, Vaikuntanathan and Zeldovich (Crypto 2013) and present a construction satisfying sublinear decryption complexity assuming Learning With Errors. We then introduce a symbolic approach for proving security of cryptographic constructions based on the Learning With Errors assumption (Regev, STOC 2005). Such constructions are instances of lattice-based cryptography and are extremely important due to their potential role in post-quantum cryptography. Our approach combines a computational logic, deducibility problems, a standard tool for representing the adversary's knowledge and the Dolev-Yao model. The computational logic is used to capture (indistinguishability-based) security notions and drive the security proofs whereas deducibility problems are used as side-conditions to control that rules of the logic are applied correctly. We then use AutoLWE, an implementation of the logic, to deliver very short or even automatic proofs of several emblematic constructions. The main technical novelty beyond AutoLWE is a set of (semi-)decision procedures for deducibility problems, using extensions of Grobner basis computations for subalgebras in the (non-)commutative setting (instead of ideals in the commutative setting). Our procedures cover the theory of matrices, which is required for lattice-based assumption, as well as the theory of non-commutative rings, fields, and Diffie-Hellman exponentiation, in its standard, bilinear and multilinear forms.
Download or read book Cryptanalysis and Applications of Lattice based Encryption Schemes written by Benjamin R. Curtis and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Threshold Schemes for Cryptographic Primitives written by National Institute National Institute of Standards and Technology and published by Createspace Independent Publishing Platform. This book was released on 2018-07-26 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: NISTIR 8214 Released 1 March 2019 As cryptography becomes ubiquitous, it becomes increasingly relevant to address the potentially disastrous breakdowns resulting from differences between ideal and real implementations of cryptographic algorithms. These differences give rise to a range of attacks that exploit vulnerabilities in order to compromise diverse aspects of real-world implementations. Threshold schemes have the potential to enable secure modes of operation even when certain subsets of components are compromised. However, they also present new challenges for the standardization and validation of security assertions about their implementations. Why buy a book you can download for free? We print this book so you don't have to. First you gotta find a good clean (legible) copy and make sure it's the latest version (not always easy). Some documents found on the web are missing some pages or the image quality is so poor, they are difficult to read. We look over each document carefully and replace poor quality images by going back to the original source document. We proof each document to make sure it's all there - including all changes. If you find a good copy, you could print it using a network printer you share with 100 other people (typically its either out of paper or toner). If it's just a 10-page document, no problem, but if it's 250-pages, you will need to punch 3 holes in all those pages and put it in a 3-ring binder. Takes at least an hour. It's much more cost-effective to just order the latest version from Amazon.com This book includes original commentary which is copyright material. Note that government documents are in the public domain. We print these large documents as a service so you don't have to. The books are compact, tightly-bound, full-size (8 1/2 by 11 inches), with large text and glossy covers. 4th Watch Publishing Co. is a SDVOSB. www.usgovpub.com If you like the service we provide, please leave positive review on Amazon.com. Here are some other titles we publish on Amazon.com: NIST SP 800-56A Pair-Wise Key-Establishment Schemes Using Discrete LogarithmCryptography NIST SP 800-22 A Statistical Test Suite for Random and Pseudorandom NumberGenerators for Cryptographic Applications NIST SP 800-67 Recommendation for the Triple Data Encryption Standard (TDEA) BlockCipher NIST SP 800-111 Guide to Storage Encryption Technologies for End User Devices NIST SP 800-130 A Framework for Designing Cryptographic Key Management Systems NIST SP 800-131 Recommendation for Transitioning the Use of Cryptographic Algorithmsand Key Lengths NIST SP 800-133 Recommendation for Cryptographic Key Generation NIST SP 800-152 A Profile for U.S. Federal Cryptographic Key Management Systems NIST SP 800-175 Guideline for Using Cryptographic Standards in the Federal Government NISTIR 7977 NIST Cryptographic Standards and Guidelines Development Process NISTIR 8105 Report on Post-Quantum Cryptography NISTIR 8114 Report on Lightweight Cryptography FIPS PUB 140-2 Security Requirements for Cryptographic Modules FIPS PUB 197 Advanced Encryption Standard (AES), The Keyed-Hash MessageAuthentication Code (HMAC), Standards for Security Categorization of Federal Information andInformation Systems
