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Mathematical Modelling for Next-Generation Cryptography, Tsuyoshi Takagi; Masato Wakayama; Keisuke Tanaka;


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Автор: Tsuyoshi Takagi; Masato Wakayama; Keisuke Tanaka;
Название:  Mathematical Modelling for Next-Generation Cryptography
ISBN: 9789811050640
Издательство: Springer
Классификация:






ISBN-10: 9811050643
Обложка/Формат: Hardcover
Страницы: 368
Вес: 0.70 кг.
Дата издания: 04.08.2017
Серия: Mathematics for Industry
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 10 tables, color; 6 illustrations, color; 17 illustrations, black and white; viii, 368 p. 23 illus., 6 illus. in color.
Размер: 234 x 156 x 22
Читательская аудитория: Professional & vocational
Основная тема: Computer Science
Подзаголовок: CREST Crypto-Math Project
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:
This book presents the mathematical background underlying security modeling in the context of next-generation cryptography. By introducing new mathematical results in order to strengthen information security, while simultaneously presenting fresh insights and developing the respective areas of mathematics, it is the first-ever book to focus on areas that have not yet been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others.
Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further development of the mathematical background of modern cryptography. More specifically
, in order to avoid the security risks posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range of mathematical theories.
This book is suitable for use in an advanced graduate course in mathematical cryptography, while also offering a valuable reference guide for experts.

Дополнительное описание: 1. Algebraic Geometry.- 2. Number Theory.- 3. Theory of Computation.- 4. Quantum Computation.- 5. Quantum Field Theory.- 6. Mathematical Physics.- 7. Representation Theory.- 8. Lattice Theory.- 9. Multivariate Polynomial Theory.- 10. Data Encryption.- 11.



Introduction to Mathematical Cryptography

Автор: Jeffrey Hoffstein and Jill Pipher
Название: Introduction to Mathematical Cryptography
ISBN: 1493917102 ISBN-13(EAN): 9781493917105
Издательство: Springer
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Цена: 12577.00 р.
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Описание: An Introduction to Mathematical Cryptography

Introduction to mathematical cryptography

Автор: Hoffstein, Jeffrey Pipher, Jill Silverman, Joseph H.
Название: Introduction to mathematical cryptography
ISBN: 1493939386 ISBN-13(EAN): 9781493939381
Издательство: Springer
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Цена: 9781.00 р.
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Описание: Preface.- Introduction.- 1 An Introduction to Cryptography.- 2 Discrete Logarithms and Diffie-Hellman.- 3 Integer Factorization and RSA.- 4 Digital Signatures.- 5 Combinatorics, Probability, and Information Theory.- 6 Elliptic Curves and Cryptography.- 7 Lattices and Cryptography.- 8 Additional Topics in Cryptography.- List of Notation.- References.- Index.

Introduction to mathematical cryptography

Автор: Hoffstein, Jeffrey Pipher, Jill Silverman, J. H.
Название: Introduction to mathematical cryptography
ISBN: 1441926747 ISBN-13(EAN): 9781441926746
Издательство: Springer
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Цена: 5723.00 р.
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Описание: This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics. It includes exercises and examples at the end of each section.

Mathematical Modelling of Chromosome Replication and Replicative Stress

Автор: Jens Karschau
Название: Mathematical Modelling of Chromosome Replication and Replicative Stress
ISBN: 3319088602 ISBN-13(EAN): 9783319088600
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Introduction.- Optimal Origin Placement for Minimal Replication Time.- Actively Replicating Domains Randomly Associate into Replication Factories.- Summary and Conclusions.

Mathematical Methods and Modelling in Hydrocarbon Exploration and Production

Автор: Armin Iske; Trygve Randen
Название: Mathematical Methods and Modelling in Hydrocarbon Exploration and Production
ISBN: 3642061397 ISBN-13(EAN): 9783642061394
Издательство: Springer
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Цена: 23058.00 р.
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Описание: Various challenges concerning the production workflow are discussed in detail.The thirteen chapters of this joint work, authored by international experts from academic and industrial institutions, include survey papers of expository character as well as original research articles.

Mathematical Modelling for Polymer Processing

Автор: Vincenzo Capasso; L.L. Bonilla; M. Burger; V. Capa
Название: Mathematical Modelling for Polymer Processing
ISBN: 3642628109 ISBN-13(EAN): 9783642628108
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Polymers are substances made of macromolecules formed by thousands of atoms organized in one (homopolymers) or more (copolymers) groups that repeat themselves to form linear or branched chains, or lattice structures.

Mathematical Modelling of Chromosome Replication and Replicative Stress

Автор: Jens Karschau
Название: Mathematical Modelling of Chromosome Replication and Replicative Stress
ISBN: 3319362828 ISBN-13(EAN): 9783319362823
Издательство: Springer
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Цена: 13059.00 р.
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Описание: Introduction.- Optimal Origin Placement for Minimal Replication Time.- Actively Replicating Domains Randomly Associate into Replication Factories.- Summary and Conclusions.

Mathematical Methods in Engineering and Physics

Автор: Felder
Название: Mathematical Methods in Engineering and Physics
ISBN: 1118449606 ISBN-13(EAN): 9781118449608
Издательство: Wiley
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Цена: 30246.00 р.
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Описание: This text is intended for the undergraduate course in math methods, with an audience of physics and engineering majors. As a required course in most departments, the text relies heavily on explained examples, real-world applications and student engagement.

Smart Spaces and Next Generation Wired/Wireless Networking

Автор: Sergey Balandin; Dmitri Moltchanov; Yevgeni Kouche
Название: Smart Spaces and Next Generation Wired/Wireless Networking
ISBN: 3642041884 ISBN-13(EAN): 9783642041884
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This book constitutes the refereed proceedings of the 9th International Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking, NEW2AN 2009, held in conjunction with the Second Conference on Smart Spaces, ruSMART 2009 in St. Petersburg, Russia, in September 2009.

Pi: The Next Generation

Автор: Bailey
Название: Pi: The Next Generation
ISBN: 331932375X ISBN-13(EAN): 9783319323756
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.

Mathematical Modelling in Biomedicine

Автор: Y. Cherruault
Название: Mathematical Modelling in Biomedicine
ISBN: 9027721491 ISBN-13(EAN): 9789027721495
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; the Minkowsky lemma, cod- ing theory and the structure of water meet one another in packing and covering theory;

Mathematical Modelling

Автор: Pohjolainen
Название: Mathematical Modelling
ISBN: 3319278347 ISBN-13(EAN): 9783319278346
Издательство: Springer
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Цена: 5589.00 р.
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Описание: This book provides a thorough introduction to thechallenge of applying mathematics in real-world scenarios. Modelling tasksrarely involve well-defined categories, and they often requiremultidisciplinary input from mathematics, physics, computer sciences, orengineering. In keeping with this spirit of modelling, the book includes awealth of cross-references between the chapters and frequently points to thereal-world context.The book combines classical approaches to modellingwith novel areas such as soft computing methods, inverse problems, and modeluncertainty. Attention is also paid to the interaction between models, data andthe use of mathematical software. The reader will find a broad selection oftheoretical tools for practicing industrial mathematics, including the analysisof continuum models, probabilistic and discrete phenomena, and asymptotic andsensitivity analysis.


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