Group Theoretic Cryptography

Author: Maria Isabel González Vasco,Rainer Steinwandt

Publisher: CRC Press

ISBN: 1584888377

Category: Computers

Page: 244

View: 924

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Group theoretic problems have propelled scientific achievements across a wide range of fields, including mathematics, physics, chemistry, and the life sciences. Many cryptographic constructions exploit the computational hardness of group theoretical problems, and the area is viewed as a potential source of quantum-resilient cryptographic primitives for the future. Group Theoretic Cryptography supplies an ideal introduction to cryptography for those who are interested in group theory and want to learn about the possible interplays between the two fields. Assuming an undergraduate-level understanding of linear algebra and discrete mathematics, it details the specifics of using non-Abelian groups in the field of cryptography. Moreover, the book evidences how group theoretic techniques help us gain new insight into well known, seemingly unrelated, cryptographic constructions, such as DES. The book starts with brief overviews of the fundamentals of group theory, complexity theory, and cryptography. Part two is devoted to public-key encryption, including provable security guarantees, public-key encryption in the standard model, and public-key encryption using infinite groups. The third part of the book covers secret-key encryption. It examines block ciphers, like the Advanced Encryption Standard, and cryptographic hash functions and message authentication codes. The last part delves into a number of cryptographic applications which are nowadays as relevant as encryption—identification protocols, key establishment, and signature schemes are covered. The book supplies formal security analyses and highlights potential vulnerabilities for cryptographic constructions involving group theory. Summaries and references for further reading, as well as exercises, are included at the end of each chapter. Selected solutions for exercises are provided in the back of the book.
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Advances in Cryptology – CRYPTO 2018

38th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 19–23, 2018, Proceedings

Author: Hovav Shacham,Alexandra Boldyreva

Publisher: Springer

ISBN: 331996884X

Category: Computers

Page: 823

View: 3599

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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.
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Cryptology

Classical and Modern

Author: Richard Klima,Richard E. Klima,Neil Sigmon,Neil P. Sigmon

Publisher: CRC Press

ISBN: 1351692534

Category: Computers

Page: 482

View: 466

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Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Playfair, ADFGVX, Alberti, Vigene re, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods. The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book.
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Introduction to Modern Cryptography, Second Edition

Author: Jonathan Katz,Yehuda Lindell

Publisher: CRC Press

ISBN: 1466570261

Category: Computers

Page: 603

View: 1155

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Cryptography is ubiquitous and plays a key role in ensuring data secrecy and integrity as well as in securing computer systems more broadly. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of this fascinating subject. The authors introduce the core principles of modern cryptography, with an emphasis on formal definitions, clear assumptions, and rigorous proofs of security. The book begins by focusing on private-key cryptography, including an extensive treatment of private-key encryption, message authentication codes, and hash functions. The authors also present design principles for widely used stream ciphers and block ciphers including RC4, DES, and AES, plus provide provable constructions of stream ciphers and block ciphers from lower-level primitives. The second half of the book covers public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, and El Gamal cryptosystems (and others), followed by a thorough treatment of several standardized public-key encryption and digital signature schemes. Integrating a more practical perspective without sacrificing rigor, this widely anticipated Second Edition offers improved treatment of: Stream ciphers and block ciphers, including modes of operation and design principles Authenticated encryption and secure communication sessions Hash functions, including hash-function applications and design principles Attacks on poorly implemented cryptography, including attacks on chained-CBC encryption, padding-oracle attacks, and timing attacks The random-oracle model and its application to several standardized, widely used public-key encryption and signature schemes Elliptic-curve cryptography and associated standards such as DSA/ECDSA and DHIES/ECIES Containing updated exercises and worked examples, Introduction to Modern Cryptography, Second Edition can serve as a textbook for undergraduate- or graduate-level courses in cryptography, a valuable reference for researchers and practitioners, or a general introduction suitable for self-study.
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Guide to Pairing-Based Cryptography

Author: Nadia El Mrabet,Marc Joye

Publisher: CRC Press

ISBN: 1498729517

Category: Computers

Page: 410

View: 2501

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This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes. As well as exploring the basic mathematical background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent developments in optimizations for pairing implementation. Each chapter includes a presentation of the problem it discusses, the mathematical formulation, a discussion of implementation issues, solutions accompanied by code or pseudocode, several numerical results, and references to further reading and notes. Intended as a self-contained handbook, this book is an invaluable resource for computer scientists, applied mathematicians and security professionals interested in cryptography.
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Condensed Matter Optical Spectroscopy

An Illustrated Introduction

Author: Iulian Ionita

Publisher: CRC Press

ISBN: 1466569565

Category: Science

Page: 414

View: 2131

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Discover a Modern Approach to the Study of Molecular Symmetry Classroom-tested from an author experienced in teaching a course on condensed matter spectroscopy, and introductory spectroscopy and lasers, Condensed Matter Optical Spectroscopy: An Illustrated Introduction contains over 200 color illustrations and provides a clear overview of the field. Intended for undergraduate students in a variety of majors, this text presents the application of molecular symmetry on optical spectra (ultraviolet, visible, infrared, and Raman) through group theory, and uses numerous examples to illustrate practical theory applications. Recognize the Symmetry of Any Atomic Arrangement and the Point Group to Which It Belongs Divided into five chapters, this book is designed to help students choose a method or several methods for material characterization, measure a correct spectrum, and interpret the spectrum or correlate the spectra obtained using different methods. It includes solid-state active media for lasers, as well as coordination and organometallic complexes, minerals, and metal ions in biological systems, and also provides 3D representations. This book addresses: Classifying molecules according to their symmetry What happens when an ion of transition metal enters an environment with a given symmetry How atomic orbitals are involved in molecular bonding Whether the molecule is a rigid construction or a dynamic structure (which can either interact with light or not at all) How to perform a reliable spectrum measurement Condensed Matter Optical Spectroscopy: An Illustrated Introduction does not require any prior knowledge on group theory.
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Computational Trust Models and Machine Learning

Author: Xin Liu,Anwitaman Datta,Ee-Peng Lim

Publisher: CRC Press

ISBN: 1482226669

Category: Computers

Page: 232

View: 5819

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Computational Trust Models and Machine Learning provides a detailed introduction to the concept of trust and its application in various computer science areas, including multi-agent systems, online social networks, and communication systems. Identifying trust modeling challenges that cannot be addressed by traditional approaches, this book: Explains how reputation-based systems are used to determine trust in diverse online communities Describes how machine learning techniques are employed to build robust reputation systems Explores two distinctive approaches to determining credibility of resources—one where the human role is implicit, and one that leverages human input explicitly Shows how decision support can be facilitated by computational trust models Discusses collaborative filtering-based trust aware recommendation systems Defines a framework for translating a trust modeling problem into a learning problem Investigates the objectivity of human feedback, emphasizing the need to filter out outlying opinions Computational Trust Models and Machine Learning effectively demonstrates how novel machine learning techniques can improve the accuracy of trust assessment.
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