Studies In Complexity And Cryptography

Author : Oded Goldreich
Publisher : Springer
Page : 564 pages
File Size : 48,8 Mb
Release : 2011-08-03
Category : Computers
ISBN : 9783642226700

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Studies in Complexity and Cryptography by Oded Goldreich Pdf

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 These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists.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

Author : Jörg Rothe
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 54,8 Mb
Release : 2005-07-22
Category : Computers
ISBN : 9783540221470

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Complexity Theory and Cryptology by Jörg Rothe Pdf

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.

Author : John Talbot,D. J. A. Welsh
Publisher : Cambridge University Press
Page : 310 pages
File Size : 53,8 Mb
Release : 2006-01-12
Category : Computers
ISBN : 0521617715

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Complexity and Cryptography by John Talbot,D. J. A. Welsh Pdf

Introductory textbook on Cryptography.

Author : Jörg Rothe
Publisher : Springer
Page : 478 pages
File Size : 49,7 Mb
Release : 2009-09-02
Category : Computers
ISBN : 3540802088

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Complexity Theory and Cryptology by Jörg Rothe Pdf

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.

Author : Sanjeev Arora,Boaz Barak
Publisher : Cambridge University Press
Page : 609 pages
File Size : 40,7 Mb
Release : 2009-04-20
Category : Computers
ISBN : 9780521424264

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Computational Complexity by Sanjeev Arora,Boaz Barak Pdf

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Author : Yehuda Lindell
Publisher : Springer
Page : 450 pages
File Size : 49,5 Mb
Release : 2017-04-05
Category : Computers
ISBN : 9783319570488

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Tutorials on the Foundations of Cryptography by Yehuda Lindell Pdf

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.

Author : Alexei Myasnikov,Vladimir Shpilrain,Alexander Ushakov
Publisher : Springer Science & Business Media
Page : 183 pages
File Size : 54,8 Mb
Release : 2008-11-04
Category : Mathematics
ISBN : 9783764388270

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Group-based Cryptography by Alexei Myasnikov,Vladimir Shpilrain,Alexander Ushakov Pdf

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.

Author : Alexei G. Myasnikov,Vladimir Shpilrain,Alexander Ushakov
Publisher : Unknown
Page : 128 pages
File Size : 54,9 Mb
Release : 2012
Category : Combinatorial group theory
ISBN : OCLC:732847858

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Non-commutative Cryptography and Complexity of Group-theoretic Problems by Alexei G. Myasnikov,Vladimir Shpilrain,Alexander Ushakov Pdf

Author : Czesław Kościelny,Mirosław Kurkowski,Marian Srebrny
Publisher : Springer Science & Business Media
Page : 238 pages
File Size : 49,6 Mb
Release : 2013-11-19
Category : Computers
ISBN : 9783642413865

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Modern Cryptography Primer by Czesław Kościelny,Mirosław Kurkowski,Marian Srebrny Pdf

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.

Author : Joachim von zur Gathen
Publisher : Springer
Page : 876 pages
File Size : 53,8 Mb
Release : 2015-11-20
Category : Computers
ISBN : 9783662484258

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CryptoSchool by Joachim von zur Gathen Pdf

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.

Author : Sri Nurdiati
Publisher : Unknown
Page : 112 pages
File Size : 43,7 Mb
Release : 1991
Category : Computer crimes
ISBN : OCLC:1071115738

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Complexity Vs Randomness in Cryptographic Keys and Data by Sri Nurdiati Pdf

Author : Oded Goldreich
Publisher : Cambridge University Press
Page : 452 pages
File Size : 54,6 Mb
Release : 2004-05-10
Category : Computers
ISBN : 9780521830843

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

A rigorous treatment of Encryption, Signatures, and General Cryptographic Protocols, emphasizing fundamental concepts.

Author : Igor Shparlinski
Publisher : Birkhäuser
Page : 181 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034886642

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Number Theoretic Methods in Cryptography by Igor Shparlinski Pdf

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.

Author : Serge Vaudenay
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 40,8 Mb
Release : 2005-09-16
Category : Computers
ISBN : 0387254641

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A Classical Introduction to Cryptography by Serge Vaudenay Pdf

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.

Author : Joppe Bos,Martijn Stam
Publisher : Unknown
Page : 402 pages
File Size : 41,8 Mb
Release : 2021-12-09
Category : Language Arts & Disciplines
ISBN : 9781108848428

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Computational Cryptography by Joppe Bos,Martijn Stam Pdf

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.