Complexity Theory And Cryptology

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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.

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.

Complexity Theory and Cryptology

Author : Jörg Rothe
Publisher : Springer Science & Business Media
ISBN 13 : 3540285202
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 2005-11-10 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.

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.

Studies in Complexity and Cryptography

Author : Oded Goldreich
Publisher : Springer
ISBN 13 : 3642226701
Total Pages : 564 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 564 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

Author : Igor Shparlinski
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.

Group Theoretic Cryptography

Author : Maria Isabel Gonzalez Vasco
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.

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:

Cryptographic Applications of Analytic Number Theory

Author : Igor Shparlinski
Publisher : Birkhäuser
ISBN 13 : 3034880375
Total Pages : 402 pages
Book Rating : 4.0/5 (348 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 Birkhäuser. This book was released on 2013-03-07 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces new techniques that imply rigorous lower bounds on the com plexity of some number-theoretic and cryptographic problems. It also establishes certain attractive pseudorandom properties of various cryptographic primitives. These methods and techniques are based on bounds of character sums and num bers of solutions of some polynomial equations over finite fields and residue rings. Other number theoretic techniques such as sieve methods and lattice reduction algorithms are used as well. The book also contains a number of open problems and proposals for further research. The emphasis is on obtaining unconditional rigorously proved statements. The bright side of this approach is that the results do not depend on any assumptions or conjectures. On the downside, the results are much weaker than those which are widely believed to be true. We obtain several lower bounds, exponential in terms of logp, on the degrees and orders of o polynomials; o algebraic functions; o Boolean functions; o linear recurrence sequences; coinciding with values of the discrete logarithm modulo a prime p at sufficiently many points (the number of points can be as small as pI/2+O:). 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 rightmost bit of the discrete logarithm and defines whether the argument is a quadratic residue.

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.

Cryptographic Applications of Analytic Number Theory

Author : Igor E. Shparlinski
Publisher :
ISBN 13 : 9780817666545
Total Pages : 411 pages
Book Rating : 4.6/5 (665 download)

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

Download or read book Cryptographic Applications of Analytic Number Theory written by Igor E. Shparlinski and published by . This book was released on 2003 with total page 411 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.

Theory of Cryptography

Author : Yehuda Lindell
Publisher : Springer
ISBN 13 : 3642542425
Total Pages : 739 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Theory of Cryptography by : Yehuda Lindell

Download or read book Theory of Cryptography written by Yehuda Lindell and published by Springer. This book was released on 2014-02-03 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Group-based Cryptography

Author : Alexei Myasnikov
Publisher : Springer Science & Business Media
ISBN 13 : 3764388277
Total Pages : 183 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 183 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.

Cryptographically Relevant Contributions to Combinational Complexity Theory

Author : Alain P. L. Hiltgen
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Cryptographically Relevant Contributions to Combinational Complexity Theory by : Alain P. L. Hiltgen

Download or read book Cryptographically Relevant Contributions to Combinational Complexity Theory written by Alain P. L. Hiltgen and published by . This book was released on 1994 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The provability of certain cryptographic assumptions and, more generally, the existence of provable practical security is investigated. It is argued why combinatorial complexity is the complexity measure that is most suited if the security of practical crytographic applications is to be proved."--p. iii.

Coding Theory and Cryptology

Author : Harald Niederreiter
Publisher : World Scientific
ISBN 13 : 981448766X
Total Pages : 460 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Coding Theory and Cryptology by : Harald Niederreiter

Download or read book Coding Theory and Cryptology written by Harald Niederreiter and published by World Scientific. This book was released on 2002-12-03 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security. Contents:Extremal Problems of Coding Theory (A Barg)Analysis and Design Issues for Synchronous Stream Ciphers (E Dawson & L Simpson)Quantum Error-Correcting Codes (K Feng)Public Key Infrastructures (D Gollmann)Computational Methods in Public Key Cryptology (A K Lenstra)Detecting and Revoking Compromised Keys (T Matsumoto)Algebraic Function Fields Over Finite Fields (H Niederreiter)Authentication Schemes (D Y Pei)Exponential Sums in Coding Theory, Cryptology and Algorithms (I E Shparlinski)Distributed Authorization: Principles and Practice (V Varadharajan)Introduction to Algebraic Geometry Codes (C P Xing) Readership: Graduate students and researchers in number theory, discrete mathematics, coding theory, cryptology and IT security. Keywords:Coding Theory;Cryptology;Number Theory;Algebraic-Geometry Codes;Public-Key Infrastructures;Error-Correcting Codes

Advances in Cryptology — CRYPTO ’91

Author : Joan Feigenbaum
Publisher : Springer
ISBN 13 : 3540467661
Total Pages : 494 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Advances in Cryptology — CRYPTO ’91 by : Joan Feigenbaum

Download or read book Advances in Cryptology — CRYPTO ’91 written by Joan Feigenbaum and published by Springer. This book was released on 2003-06-30 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crypto '91 was the eleventh in a series of workshops on cryptology sponsoredby the International Association for Cryptologic Research and was held in Santa Barbara, California, in August 1991. This volume contains a full paper or an extended abstract for each of the 39 talks presented at the workshop. All theoretical and practical aspects of cryptology are represented, including: protocol design and analysis, combinatorics and authentication, secret sharing and information theory, cryptanalysis, complexity theory, cryptographic schemas based on number theory, pseudorandomness, applications and implementations, viruses, public-key cryptosystems, and digital signatures.

Algebraic Aspects of Cryptography

Author : Neal Koblitz
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