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Theory of Cryptography

Author: Salil P. Vadhan

Publisher: Springer

Published: 2007-05-17

Total Pages: 606

ISBN-13: 3540709363

This book constitutes the refereed proceedings of the 4th Theory of Cryptography Conference, TCC 2007, held in Amsterdam, The Netherlands in February 2007. The 31 revised full papers cover encryption, universally composable security, arguments and zero knowledge, notions of security, obfuscation, secret sharing and multiparty computation, signatures and watermarking, private approximation and black-box reductions, and key establishment.

An Introduction to Number Theory with Cryptography

Author: James Kraft

Publisher: CRC Press

Published: 2018-01-29

Total Pages: 300

ISBN-13: 1351664107

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Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory. The authors have written the text in an engaging style to reflect number theory's increasing popularity. The book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. It includes a few more advanced topics for students who wish to explore beyond the traditional curriculum. Features of the second edition include Over 800 exercises, projects, and computer explorations Increased coverage of cryptography, including Vigenere, Stream, Transposition,and Block ciphers, along with RSA and discrete log-based systems "Check Your Understanding" questions for instant feedback to students New Appendices on "What is a proof?" and on Matrices Select basic (pre-RSA) cryptography now placed in an earlier chapter so that the topic can be covered right after the basic material on congruences Answers and hints for odd-numbered problems About the Authors: Jim Kraft received his Ph.D. from the University of Maryland in 1987 and has published several research papers in algebraic number theory. His previous teaching positions include the University of Rochester, St. Mary's College of California, and Ithaca College, and he has also worked in communications security. Dr. Kraft currently teaches mathematics at the Gilman School. Larry Washington received his Ph.D. from Princeton University in 1974 and has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. Dr. Washington is currently Professor of Mathematics and Distinguished Scholar-Teacher at the University of Maryland.

Theory of Cryptography

Author: Yehuda Lindell

Publisher: Springer

Published: 2014-02-03

Total Pages: 752

ISBN-13: 3642542425

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This book constitutes the refereed proceedings of the 11th Theory of Cryptography Conference, TCC 2014, held in San Diego, CA, USA, in February 2014. The 30 revised full papers presented were carefully reviewed and selected from 90 submissions. The papers are organized in topical sections on obfuscation, applications of obfuscation, zero knowledge, black-box separations, secure computation, coding and cryptographic applications, leakage, encryption, hardware-aided secure protocols, and encryption and signatures.

Theory of Cryptography

Author: Eyal Kushilevitz

Publisher: Springer

Published: 2015-12-21

Total Pages: 618

ISBN-13: 366249096X

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The two-volume set LNCS 9562 and LNCS 9563 constitutes the refereedproceedings of the 13th International Conference on Theory ofCryptography, TCC 2016, held in Tel Aviv, Israel, in January 2016. The 45 revised full papers presented were carefully reviewed andselected from 112 submissions. The papers are organized in topicalsections on obfuscation, differential privacy, LWR and LPN, public key encryption, signatures, and VRF, complexity of cryptographic primitives, multiparty computation, zero knowledge and PCP, oblivious RAM, ABE and IBE, and codes and interactive proofs. The volume also includes an invited talk on cryptographic assumptions.

A Course in Number Theory and Cryptography

Author: Neal Koblitz

Publisher: Springer Science & Business Media

Published: 2012-09-05

Total Pages: 245

ISBN-13: 1441985921

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This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. Extensive exercises and careful answers are an integral part all of the chapters.

Chaos-based Cryptography

Author: Ljupco Kocarev

Publisher: Springer Science & Business Media

Published: 2011-06-17

Total Pages: 400

ISBN-13: 3642205410

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Chaos-based cryptography, attracting many researchers in the past decade, is a research field across two fields, i.e., chaos (nonlinear dynamic system) and cryptography (computer and data security). It Chaos' properties, such as randomness and ergodicity, have been proved to be suitable for designing the means for data protection. The book gives a thorough description of chaos-based cryptography, which consists of chaos basic theory, chaos properties suitable for cryptography, chaos-based cryptographic techniques, and various secure applications based on chaos. Additionally, it covers both the latest research results and some open issues or hot topics. The book creates a collection of high-quality chapters contributed by leading experts in the related fields. It embraces a wide variety of aspects of the related subject areas and provide a scientifically and scholarly sound treatment of state-of-the-art techniques to students, researchers, academics, personnel of law enforcement and IT practitioners who are interested or involved in the study, research, use, design and development of techniques related to chaos-based cryptography.

Cryptography, Information Theory, and Error-Correction

Author: Aiden A. Bruen

Publisher: John Wiley & Sons

Published: 2011-09-28

Total Pages: 496

ISBN-13: 1118031385

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Discover the first unified treatment of today's most essential information technologies— Compressing, Encrypting, and Encoding With identity theft, cybercrime, and digital file sharing proliferating in today's wired world, providing safe and accurate information transfers has become a paramount concern. The issues and problems raised in this endeavor are encompassed within three disciplines: cryptography, information theory, and error-correction. As technology continues to develop, these fields have converged at a practical level, increasing the need for a unified treatment of these three cornerstones of the information age. Stressing the interconnections of the disciplines, Cryptography, Information Theory, and Error-Correction offers a complete, yet accessible account of the technologies shaping the 21st century. This book contains the most up-to-date, detailed, and balanced treatment available on these subjects. The authors draw on their experience both in the classroom and in industry, giving the book's material and presentation a unique real-world orientation. With its reader-friendly style and interdisciplinary emphasis, Cryptography, Information Theory, and Error-Correction serves as both an admirable teaching text and a tool for self-learning. The chapter structure allows for anyone with a high school mathematics education to gain a strong conceptual understanding, and provides higher-level students with more mathematically advanced topics. The authors clearly map out paths through the book for readers of all levels to maximize their learning. This book: Is suitable for courses in cryptography, information theory, or error-correction as well as courses discussing all three areas Provides over 300 example problems with solutions Presents new and exciting algorithms adopted by industry Discusses potential applications in cell biology Details a new characterization of perfect secrecy Features in-depth coverage of linear feedback shift registers (LFSR), a staple of modern computing Follows a layered approach to facilitate discussion, with summaries followed by more detailed explanations Provides a new perspective on the RSA algorithm Cryptography, Information Theory, and Error-Correction is an excellent in-depth text for both graduate and undergraduate students of mathematics, computer science, and engineering. It is also an authoritative overview for IT professionals, statisticians, mathematicians, computer scientists, electrical engineers, entrepreneurs, and the generally curious.

Group Theoretic Cryptography

Author: Maria Isabel Gonzalez Vasco

Publisher: CRC Press

Published: 2015-04-01

Total Pages: 244

ISBN-13: 1584888377

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Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this approach. The authors provide the needed cryptographic and group theoretic concepts, full proofs of essential theorems, and formal security evaluations of the cryptographic schemes presented. They also provide references for further reading and exercises at the end of each chapter.

Theory of Cryptography

Author: Rafael Pass

Publisher: Springer

Published: 2020-12-13

Total Pages: 673

ISBN-13: 9783030643805

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This three-volume set, LNCS 12550, 12551, and 12552, constitutes the refereed proceedings of the 18th International Conference on Theory of Cryptography, TCCC 2020, held in Durham, NC, USA, in November 2020. The total of 71 full papers presented in this three-volume set was carefully reviewed and selected from 167 submissions. Amongst others they cover the following topics: study of known paradigms, approaches, and techniques, directed towards their better understanding and utilization; discovery of new paradigms, approaches and techniques that overcome limitations of the existing ones, formulation and treatment of new cryptographic problems; study of notions of security and relations among them; modeling and analysis of cryptographic algorithms; and study of the complexity assumptions used in cryptography. Due to the Corona pandemic this event was held virtually.

Introduction to Modern Cryptography

Author: Jonathan Katz

Publisher: CRC Press

Published: 2020-12-21

Total Pages: 435

ISBN-13: 1351133012

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Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.