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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: 9789811353093
Издательство: Springer
Классификация:







ISBN-10: 9811353093
Обложка/Формат: Soft cover
Страницы: 368
Вес: 0.58 кг.
Дата издания: 2018
Серия: Mathematics for Industry
Язык: English
Издание: Softcover reprint of
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 20
Читательская аудитория: Professional & vocational
Ключевые слова: Data Structures and Information Theory
Основная тема: Computer Science
Подзаголовок: CREST Crypto-Math Project
Ссылка на Издательство: Link
Рейтинг:
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.



Linear Algebra and Learning from Data

Автор: Strang Gilbert
Название: Linear Algebra and Learning from Data
ISBN: 0692196382 ISBN-13(EAN): 9780692196380
Издательство: Cambridge Academ
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Цена: 9978.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.

Mathematical Methods for Physics and Engineering

Автор: Riley
Название: Mathematical Methods for Physics and Engineering
ISBN: 0521679710 ISBN-13(EAN): 9780521679718
Издательство: Cambridge Academ
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Цена: 7920.00 р.
Наличие на складе: Есть (1 шт.)
Описание: This highly acclaimed undergraduate textbook teaches all the mathematics for undergraduate courses in the physical sciences. Containing over 800 exercises, half come with hints and answers and, in a separate manual, complete worked solutions. The remaining exercises are intended for unaided homework; full solutions are available to instructors.

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

Mathematical Methods in Engineering

Автор: Powers, Joseph M. (University of Notre Dame, Indiana) Sen, Mihir (University of Notre Dame, Indiana)
Название: Mathematical Methods in Engineering
ISBN: 1107037042 ISBN-13(EAN): 9781107037045
Издательство: Cambridge Academ
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Цена: 10138.00 р.
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Описание: This book is designed for engineering graduate students. It connects mathematics to a variety of methods used for engineering problems by walking the reader stepwise through examples that have been worked in detail, followed by numerous homework problems to reinforce learning and connect the subject matter to engineering applications.

Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups

Автор: Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf
Название: Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups
ISBN: 3110413329 ISBN-13(EAN): 9783110413328
Издательство: Walter de Gruyter
Цена: 6499.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups

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.

Inverter-based Energy Storage Systems

Автор: Federico Milano, Alvaro Ortega Manjavacas
Название: Inverter-based Energy Storage Systems
ISBN: 1108421067 ISBN-13(EAN): 9781108421065
Издательство: Cambridge Academ
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Цена: 16790.00 р.
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Описание: Providing comprehensive and in-depth coverage of the modelling, dynamic behaviour, control, and stability analysis of converter-interfaced energy storage systems, this is the perfect text for graduate students, researchers, and industry professionals working in power system dynamics, renewable energy integration, and smart grid development.

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

Quantum Information And Quantum Computing - Proceedings Of Symposium

Автор: Nakahara Mikio Et Al
Название: Quantum Information And Quantum Computing - Proceedings Of Symposium
ISBN: 9814425214 ISBN-13(EAN): 9789814425216
Издательство: World Scientific Publishing
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Цена: 14414.00 р.
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Описание: The open research center project "Interdisciplinary fundamental research toward realization of a quantum computer" has been supported by the Ministry of Education, Japan for five years. This book is a collection of the research outcomes by the members engaged in the project.

Next Generation Optical Network Design and Modelling

Автор: Andrea Bianco; Fabio Neri
Название: Next Generation Optical Network Design and Modelling
ISBN: 1475760000 ISBN-13(EAN): 9781475760002
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
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Описание: Optical networks are leaving the labs and becoming a reality. New components and subsystems for very high speed optical networks offer new design opportunities to network operators and designers.

Mathematical Modelling for Next-Generation Cryptography

Автор: Tsuyoshi Takagi; Masato Wakayama; Keisuke Tanaka;
Название: Mathematical Modelling for Next-Generation Cryptography
ISBN: 9811050643 ISBN-13(EAN): 9789811050640
Издательство: Springer
Рейтинг:
Цена: 19564.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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.
Algebraic Curves and Finite Fields: Cryptography and Other Applications

Автор: Harald Niederreiter, Alina Ostafe, Daniel Panario,
Название: Algebraic Curves and Finite Fields: Cryptography and Other Applications
ISBN: 3110317885 ISBN-13(EAN): 9783110317886
Издательство: Walter de Gruyter
Цена: 26024.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.


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