Complexity and Cryptography

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Publisher : Cambridge University Press
ISBN 13 : 9780521617710
Total Pages : 310 pages
Book Rating : 4.6/5 (177 download)

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Book Synopsis Complexity and Cryptography by : John Talbot

Download or read book Complexity and Cryptography written by John Talbot and published by Cambridge University Press. This book was released on 2006-01-12 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory textbook on Cryptography.

Complexity of Lattice Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461508975
Total Pages : 229 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Complexity of Lattice Problems by : Daniele Micciancio

Download or read book Complexity of Lattice Problems written by Daniele Micciancio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. De spite their apparent simplicity, lattices hide a rich combinatorial struc ture, which has attracted the attention of great mathematicians over the last two centuries. Not surprisingly, lattices have found numerous ap plications in mathematics and computer science, ranging from number theory and Diophantine approximation, to combinatorial optimization and cryptography. The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80's, and Ajtai's discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late 90's. The LLL algorithm, despite the relatively poor quality of the solution it gives in the worst case, allowed to devise polynomial time solutions to many classical problems in computer science. These include, solving integer programs in a fixed number of variables, factoring polynomials over the rationals, breaking knapsack based cryptosystems, and finding solutions to many other Diophantine and cryptanalysis problems.

Complexity Theory and Cryptology

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540221476
Total Pages : 488 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Complexity Theory and Cryptology by : Jörg Rothe

Download or read book Complexity Theory and Cryptology written by Jörg Rothe and published by Springer Science & Business Media. This book was released on 2005-07-22 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern cryptology increasingly employs mathematically rigorous concepts and methods from complexity theory. Conversely, current research topics in complexity theory are often motivated by questions and problems from cryptology. This book takes account of this situation, and therefore its subject is what may be dubbed "cryptocomplexity'', a kind of symbiosis of these two areas. This book is written for undergraduate and graduate students of computer science, mathematics, and engineering, and can be used for courses on complexity theory and cryptology, preferably by stressing their interrelation. Moreover, it may serve as a valuable source for researchers, teachers, and practitioners working in these fields. Starting from scratch, it works its way to the frontiers of current research in these fields and provides a detailed overview of their history and their current research topics and challenges.

Cryptography in Constant Parallel Time

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Publisher : Springer Science & Business Media
ISBN 13 : 3642173675
Total Pages : 204 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Cryptography in Constant Parallel Time by : Benny Applebaum

Download or read book Cryptography in Constant Parallel Time written by Benny Applebaum and published by Springer Science & Business Media. This book was released on 2013-12-19 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Locally computable (NC0) functions are "simple" functions for which every bit of the output can be computed by reading a small number of bits of their input. The study of locally computable cryptography attempts to construct cryptographic functions that achieve this strong notion of simplicity and simultaneously provide a high level of security. Such constructions are highly parallelizable and they can be realized by Boolean circuits of constant depth. This book establishes, for the first time, the possibility of local implementations for many basic cryptographic primitives such as one-way functions, pseudorandom generators, encryption schemes and digital signatures. It also extends these results to other stronger notions of locality, and addresses a wide variety of fundamental questions about local cryptography. The author's related thesis was honorably mentioned (runner-up) for the ACM Dissertation Award in 2007, and this book includes some expanded sections and proofs, and notes on recent developments. The book assumes only a minimal background in computational complexity and cryptography and is therefore suitable for graduate students or researchers in related areas who are interested in parallel cryptography. It also introduces general techniques and tools which are likely to interest experts in the area.

Group-based Cryptography

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Publisher : Springer Science & Business Media
ISBN 13 : 3764388277
Total Pages : 192 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Group-based Cryptography by : Alexei Myasnikov

Download or read book Group-based Cryptography written by Alexei Myasnikov and published by Springer Science & Business Media. This book was released on 2008-11-04 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering relations between three different areas of mathematics and theoretical computer science, this book explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography.

Computational Complexity

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Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Group Theoretic Cryptography

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Publisher : CRC Press
ISBN 13 : 1584888377
Total Pages : 244 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Group Theoretic Cryptography by : Maria Isabel Gonzalez Vasco

Download or read book Group Theoretic Cryptography written by Maria Isabel Gonzalez Vasco and published by CRC Press. This book was released on 2015-04-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Studies in Complexity and Cryptography

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Publisher : Springer
ISBN 13 : 3642226701
Total Pages : 573 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Studies in Complexity and Cryptography by : Oded Goldreich

Download or read book Studies in Complexity and Cryptography written by Oded Goldreich and published by Springer. This book was released on 2011-08-03 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of 36 pieces of scientific work in the areas of complexity theory and foundations of cryptography: 20 research contributions, 13 survey articles, and 3 programmatic and reflective viewpoint statements. These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists. The articles included in this book essentially reflect the topical scope of the scientific career of Oded Goldreich now spanning three decades. In particular the topics dealt with include average-case complexity, complexity of approximation, derandomization, expander graphs, hashing functions, locally testable codes, machines that take advice, NP-completeness, one-way functions, probabilistically checkable proofs, proofs of knowledge, property testing, pseudorandomness, randomness extractors, sampling, trapdoor permutations, zero-knowledge, and non-iterative zero-knowledge. All in all, this potpourri of studies in complexity and cryptography constitutes a most valuable contribution to the field of theoretical computer science centered around the personal achievements and views of one of its outstanding representatives.

Cryptographic Applications of Analytic Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764366544
Total Pages : 434 pages
Book Rating : 4.3/5 (665 download)

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Book Synopsis Cryptographic Applications of Analytic Number Theory by : Igor Shparlinski

Download or read book Cryptographic Applications of Analytic Number Theory written by Igor Shparlinski and published by Springer Science & Business Media. This book was released on 2003-02-12 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.

Algebraic Aspects of Cryptography

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Publisher : Springer Science & Business Media
ISBN 13 : 3662036428
Total Pages : 214 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Algebraic Aspects of Cryptography by : Neal Koblitz

Download or read book Algebraic Aspects of Cryptography written by Neal Koblitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] Overall, this is an excellent expository text, and will be very useful to both the student and researcher." Mathematical Reviews

Complexity and Cryptography

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139448390
Total Pages : 29 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Complexity and Cryptography by : John Talbot

Download or read book Complexity and Cryptography written by John Talbot and published by Cambridge University Press. This book was released on 2006-01-12 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal style with rigorous proofs of the key results to give an accessible introduction. It comes with plenty of examples and exercises (many with hints and solutions), and is based on a highly successful course developed and taught over many years to undergraduate and graduate students in mathematics and computer science.

Tutorials on the Foundations of Cryptography

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Author :
Publisher : Springer
ISBN 13 : 331957048X
Total Pages : 450 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Tutorials on the Foundations of Cryptography by : Yehuda Lindell

Download or read book Tutorials on the Foundations of Cryptography written by Yehuda Lindell and published by Springer. This book was released on 2017-04-05 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate textbook of advanced tutorials on the theory of cryptography and computational complexity. In particular, the chapters explain aspects of garbled circuits, public-key cryptography, pseudorandom functions, one-way functions, homomorphic encryption, the simulation proof technique, and the complexity of differential privacy. Most chapters progress methodically through motivations, foundations, definitions, major results, issues surrounding feasibility, surveys of recent developments, and suggestions for further study. This book honors Professor Oded Goldreich, a pioneering scientist, educator, and mentor. Oded was instrumental in laying down the foundations of cryptography, and he inspired the contributing authors, Benny Applebaum, Boaz Barak, Andrej Bogdanov, Iftach Haitner, Shai Halevi, Yehuda Lindell, Alon Rosen, and Salil Vadhan, themselves leading researchers on the theory of cryptography and computational complexity. The book is appropriate for graduate tutorials and seminars, and for self-study by experienced researchers, assuming prior knowledge of the theory of cryptography.

Real-World Cryptography

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Publisher : Simon and Schuster
ISBN 13 : 1638350841
Total Pages : 398 pages
Book Rating : 4.6/5 (383 download)

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Book Synopsis Real-World Cryptography by : David Wong

Download or read book Real-World Cryptography written by David Wong and published by Simon and Schuster. This book was released on 2021-10-19 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A staggeringly comprehensive review of the state of modern cryptography. Essential for anyone getting up to speed in information security." - Thomas Doylend, Green Rocket Security An all-practical guide to the cryptography behind common tools and protocols that will help you make excellent security choices for your systems and applications. In Real-World Cryptography, you will find: Best practices for using cryptography Diagrams and explanations of cryptographic algorithms Implementing digital signatures and zero-knowledge proofs Specialized hardware for attacks and highly adversarial environments Identifying and fixing bad practices Choosing the right cryptographic tool for any problem Real-World Cryptography reveals the cryptographic techniques that drive the security of web APIs, registering and logging in users, and even the blockchain. You’ll learn how these techniques power modern security, and how to apply them to your own projects. Alongside modern methods, the book also anticipates the future of cryptography, diving into emerging and cutting-edge advances such as cryptocurrencies, and post-quantum cryptography. All techniques are fully illustrated with diagrams and examples so you can easily see how to put them into practice. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Cryptography is the essential foundation of IT security. To stay ahead of the bad actors attacking your systems, you need to understand the tools, frameworks, and protocols that protect your networks and applications. This book introduces authentication, encryption, signatures, secret-keeping, and other cryptography concepts in plain language and beautiful illustrations. About the book Real-World Cryptography teaches practical techniques for day-to-day work as a developer, sysadmin, or security practitioner. There’s no complex math or jargon: Modern cryptography methods are explored through clever graphics and real-world use cases. You’ll learn building blocks like hash functions and signatures; cryptographic protocols like HTTPS and secure messaging; and cutting-edge advances like post-quantum cryptography and cryptocurrencies. This book is a joy to read—and it might just save your bacon the next time you’re targeted by an adversary after your data. What's inside Implementing digital signatures and zero-knowledge proofs Specialized hardware for attacks and highly adversarial environments Identifying and fixing bad practices Choosing the right cryptographic tool for any problem About the reader For cryptography beginners with no previous experience in the field. About the author David Wong is a cryptography engineer. He is an active contributor to internet standards including Transport Layer Security. Table of Contents PART 1 PRIMITIVES: THE INGREDIENTS OF CRYPTOGRAPHY 1 Introduction 2 Hash functions 3 Message authentication codes 4 Authenticated encryption 5 Key exchanges 6 Asymmetric encryption and hybrid encryption 7 Signatures and zero-knowledge proofs 8 Randomness and secrets PART 2 PROTOCOLS: THE RECIPES OF CRYPTOGRAPHY 9 Secure transport 10 End-to-end encryption 11 User authentication 12 Crypto as in cryptocurrency? 13 Hardware cryptography 14 Post-quantum cryptography 15 Is this it? Next-generation cryptography 16 When and where cryptography fails

Mathematics of Public Key Cryptography

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1107013925
Total Pages : 631 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Mathematics of Public Key Cryptography by : Steven D. Galbraith

Download or read book Mathematics of Public Key Cryptography written by Steven D. Galbraith and published by Cambridge University Press. This book was released on 2012-03-15 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3662125218
Total Pages : 192 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Modern Cryptography, Probabilistic Proofs and Pseudorandomness by : Oded Goldreich

Download or read book Modern Cryptography, Probabilistic Proofs and Pseudorandomness written by Oded Goldreich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.

Non-commutative Cryptography and Complexity of Group-theoretic Problems

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821853600
Total Pages : 402 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Non-commutative Cryptography and Complexity of Group-theoretic Problems by : Alexei G. Myasnikov

Download or read book Non-commutative Cryptography and Complexity of Group-theoretic Problems written by Alexei G. Myasnikov and published by American Mathematical Soc.. This book was released on 2011 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the relationship between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups can be used in public key cryptography. It also shows that there is remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory.

Introduction to Property Testing

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Publisher : Cambridge University Press
ISBN 13 : 1107194059
Total Pages : 473 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Property Testing by : Oded Goldreich

Download or read book Introduction to Property Testing written by Oded Goldreich and published by Cambridge University Press. This book was released on 2017-11-23 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive and authoritative introduction to property testing, the study of super-fast algorithms for the structural analysis of large quantities of data in order to determine global properties. This book can be used both as a reference book and a textbook, and includes numerous exercises.