Studies In Complexity And Cryptography

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Complexity Theory and Cryptology

Author : Jörg Rothe
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.

Studies in Complexity and Cryptography

Author : Oded Goldreich
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 These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists.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.

Computational Complexity

Author : Sanjeev Arora
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.

Tutorials on the Foundations of Cryptography

Author : Yehuda Lindell
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.

Computational Complexity

Author : Oded Goldreich
Publisher : Cambridge University Press
ISBN 13 : 9780521884730
Total Pages : 632 pages
Book Rating : 4.8/5 (847 download)

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Book Synopsis Computational Complexity by : Oded Goldreich

Download or read book Computational Complexity written by Oded Goldreich and published by Cambridge University Press. This book was released on 2008-04-28 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive perspective to modern topics in complexity theory, which is a central field of the theoretical foundations of computer science. It addresses the looming question of what can be achieved within a limited amount of time with or without other limited natural computational resources. Can be used as an introduction for advanced undergraduate and graduate students as either a textbook or for self-study, or to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems.

Complexity and Cryptography

Author : John Talbot
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 Theory and Cryptology

Author : Jörg Rothe
Publisher : Springer
ISBN 13 : 9783540802082
Total Pages : 478 pages
Book Rating : 4.8/5 (2 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. This book was released on 2009-09-02 with total page 478 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.

Foundations of Cryptography: Volume 2, Basic Applications

Author : Oded Goldreich
Publisher : Cambridge University Press
ISBN 13 : 0521830842
Total Pages : 452 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Foundations of Cryptography: Volume 2, Basic Applications by : Oded Goldreich

Download or read book Foundations of Cryptography: Volume 2, Basic Applications written by Oded Goldreich and published by Cambridge University Press. This book was released on 2004-05-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous treatment of Encryption, Signatures, and General Cryptographic Protocols, emphasizing fundamental concepts.

A Classical Introduction to Cryptography

Author : Serge Vaudenay
Publisher : Springer Science & Business Media
ISBN 13 : 9780387254647
Total Pages : 370 pages
Book Rating : 4.2/5 (546 download)

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Book Synopsis A Classical Introduction to Cryptography by : Serge Vaudenay

Download or read book A Classical Introduction to Cryptography written by Serge Vaudenay and published by Springer Science & Business Media. This book was released on 2005-09-16 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Classical Introduction to Cryptography: Applications for Communications Security introduces fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes. This advanced-level textbook covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes. A Classical Introduction to Cryptography: Applications for Communications Security is designed for upper-level undergraduate and graduate-level students in computer science. This book is also suitable for researchers and practitioners in industry. A separate exercise/solution booklet is available as well, please go to www.springeronline.com under author: Vaudenay for additional details on how to purchase this booklet.

Introduction to Property Testing

Author : Oded Goldreich
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.

Introduction to Modern Cryptography

Author : Jonathan Katz
Publisher : CRC Press
ISBN 13 : 1351133012
Total Pages : 435 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Introduction to Modern Cryptography by : Jonathan Katz

Download or read book Introduction to Modern Cryptography written by Jonathan Katz and published by CRC Press. This book was released on 2020-12-21 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Cryptography Primer

Author : Czesław Kościelny
Publisher : Springer Science & Business Media
ISBN 13 : 3642413862
Total Pages : 246 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Modern Cryptography Primer by : Czesław Kościelny

Download or read book Modern Cryptography Primer written by Czesław Kościelny and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography has experienced rapid development, with major advances recently in both secret and public key ciphers, cryptographic hash functions, cryptographic algorithms and multiparty protocols, including their software engineering correctness verification, and various methods of cryptanalysis. This textbook introduces the reader to these areas, offering an understanding of the essential, most important, and most interesting ideas, based on the authors' teaching and research experience. After introducing the basic mathematical and computational complexity concepts, and some historical context, including the story of Enigma, the authors explain symmetric and asymmetric cryptography, electronic signatures and hash functions, PGP systems, public key infrastructures, cryptographic protocols, and applications in network security. In each case the text presents the key technologies, algorithms, and protocols, along with methods of design and analysis, while the content is characterized by a visual style and all algorithms are presented in readable pseudocode or using simple graphics and diagrams. The book is suitable for undergraduate and graduate courses in computer science and engineering, particularly in the area of networking, and it is also a suitable reference text for self-study by practitioners and researchers. The authors assume only basic elementary mathematical experience, the text covers the foundational mathematics and computational complexity theory.

Computational Cryptography

Author : Joppe Bos
Publisher :
ISBN 13 : 1108848427
Total Pages : 402 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Computational Cryptography by : Joppe Bos

Download or read book Computational Cryptography written by Joppe Bos and published by . This book was released on 2021-12-09 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.

Non-commutative Cryptography and Complexity of Group-theoretic Problems

Author : Alexei G. Myasnikov
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (732 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 . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theoretic Methods in Cryptography

Author : Igor Shparlinski
Publisher : Birkhäuser
ISBN 13 : 3034886640
Total Pages : 181 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Number Theoretic Methods in Cryptography by : Igor Shparlinski

Download or read book Number Theoretic Methods in Cryptography written by Igor Shparlinski and published by Birkhäuser. This book was released on 2012-12-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces new techniques which imply rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. These methods and techniques are based on bounds of character sums and numbers of solutions of some polynomial equations over finite fields and residue rings. It also contains a number of open problems and proposals for further research. We obtain several lower bounds, exponential in terms of logp, on the de grees and orders of • polynomials; • algebraic functions; • Boolean functions; • linear recurring sequences; coinciding with values of the discrete logarithm modulo a prime p at suf ficiently many points (the number of points can be as small as pI/He). These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1. The case of d = 2 is of special interest since it corresponds to the representation of the right most bit of the discrete logarithm and defines whether the argument is a quadratic residue. We also obtain non-trivial upper bounds on the de gree, sensitivity and Fourier coefficients of Boolean functions on bits of x deciding whether x is a quadratic residue. These results are used to obtain lower bounds on the parallel arithmetic and Boolean complexity of computing the discrete logarithm. For example, we prove that any unbounded fan-in Boolean circuit. of sublogarithmic depth computing the discrete logarithm modulo p must be of superpolynomial size.

Applied Cryptography

Author : Bruce Schneier
Publisher : John Wiley & Sons
ISBN 13 : 1119439027
Total Pages : 937 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Applied Cryptography by : Bruce Schneier

Download or read book Applied Cryptography written by Bruce Schneier and published by John Wiley & Sons. This book was released on 2017-05-25 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the world's most renowned security technologist, Bruce Schneier, this 20th Anniversary Edition is the most definitive reference on cryptography ever published and is the seminal work on cryptography. Cryptographic techniques have applications far beyond the obvious uses of encoding and decoding information. For developers who need to know about capabilities, such as digital signatures, that depend on cryptographic techniques, there's no better overview than Applied Cryptography, the definitive book on the subject. Bruce Schneier covers general classes of cryptographic protocols and then specific techniques, detailing the inner workings of real-world cryptographic algorithms including the Data Encryption Standard and RSA public-key cryptosystems. The book includes source-code listings and extensive advice on the practical aspects of cryptography implementation, such as the importance of generating truly random numbers and of keeping keys secure. ". . .the best introduction to cryptography I've ever seen. . . .The book the National Security Agency wanted never to be published. . . ." -Wired Magazine ". . .monumental . . . fascinating . . . comprehensive . . . the definitive work on cryptography for computer programmers . . ." -Dr. Dobb's Journal ". . .easily ranks as one of the most authoritative in its field." -PC Magazine The book details how programmers and electronic communications professionals can use cryptography-the technique of enciphering and deciphering messages-to maintain the privacy of computer data. It describes dozens of cryptography algorithms, gives practical advice on how to implement them into cryptographic software, and shows how they can be used to solve security problems. The book shows programmers who design computer applications, networks, and storage systems how they can build security into their software and systems. With a new Introduction by the author, this premium edition will be a keepsake for all those committed to computer and cyber security.

CryptoSchool

Author : Joachim von zur Gathen
Publisher : Springer
ISBN 13 : 3662484250
Total Pages : 876 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis CryptoSchool by : Joachim von zur Gathen

Download or read book CryptoSchool written by Joachim von zur Gathen and published by Springer. This book was released on 2015-11-20 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to cryptology, the science that makes secure communications possible, and addresses its two complementary aspects: cryptography—--the art of making secure building blocks—--and cryptanalysis—--the art of breaking them. The text describes some of the most important systems in detail, including AES, RSA, group-based and lattice-based cryptography, signatures, hash functions, random generation, and more, providing detailed underpinnings for most of them. With regard to cryptanalysis, it presents a number of basic tools such as the differential and linear methods and lattice attacks. This text, based on lecture notes from the author’s many courses on the art of cryptography, consists of two interlinked parts. The first, modern part explains some of the basic systems used today and some attacks on them. However, a text on cryptology would not be complete without describing its rich and fascinating history. As such, the colorfully illustrated historical part interspersed throughout the text highlights selected inventions and episodes, providing a glimpse into the past of cryptology. The first sections of this book can be used as a textbook for an introductory course to computer science or mathematics students. Other sections are suitable for advanced undergraduate or graduate courses. Many exercises are included. The emphasis is on providing reasonably complete explanation of the background for some selected systems.