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A Course in Cryptography, Heiko Knospe


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Автор: Heiko Knospe
Название:  A Course in Cryptography
ISBN: 9781470450557
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470450550
Обложка/Формат: Hardback
Страницы: 323
Вес: 0.80 кг.
Дата издания: 30.11.2019
Серия: Pure and applied undergraduate texts
Язык: English
Размер: 184 x 264 x 19
Ключевые слова: Combinatorics & graph theory,Applied mathematics,Probability & statistics,Number theory,Discrete mathematics
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Поставляется из: Англии
Описание: This book provides a compact course in modern cryptography. The mathematical foundations in algebra, number theory and probability are presented with a focus on their cryptographic applications. The text provides rigorous definitions and follows the provable security approach. The most relevant cryptographic schemes are covered, including block ciphers, stream ciphers, hash functions, message authentication codes, public-key encryption, key establishment, digital signatures and elliptic curves. The current developments in post-quantum cryptography are also explored, with separate chapters on quantum computing, lattice-based and code-based cryptosystems.Many examples, figures and exercises, as well as SageMath (Python) computer code, help the reader to understand the concepts and applications of modern cryptography. A special focus is on algebraic structures, which are used in many cryptographic constructions and also in post-quantum systems. The essential mathematics and the modern approach to cryptography and security prepare the reader for more advanced studies.The text requires only a first-year course in mathematics (calculus and linear algebra) and is also accessible to computer scientists and engineers. This book is suitable as a textbook for undergraduate and graduate courses in cryptography as well as for self-study.
Дополнительное описание: Applied mathematics|Discrete mathematics|Combinatorics and graph theory|Number theory|Probability and statistics



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

A Course in Number Theory and Cryptography

Автор: Neal Koblitz
Название: A Course in Number Theory and Cryptography
ISBN: 1461264421 ISBN-13(EAN): 9781461264422
Издательство: Springer
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Цена: 6981.00 р.
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Описание: This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography.

A Course in Probability Theory, Revised Edition,

Автор: Kai Lai Chung
Название: A Course in Probability Theory, Revised Edition,
ISBN: 0121741516 ISBN-13(EAN): 9780121741518
Издательство: Elsevier Science
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Цена: 12462.00 р.
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Описание: This book is designed for undergraduate programs and students and can also be used as a first-year graduate text in probability. It offers a broad perspective, building on the synopsis of measure and integration offered in Chapter two.

A Course in Mathematical Cryptography

Автор: Gilbert Baumslag,Benjamin Fine,Martin Kreuzer,Gerh
Название: A Course in Mathematical Cryptography
ISBN: 3110372762 ISBN-13(EAN): 9783110372762
Издательство: Walter de Gruyter
Цена: 9288.00 р.
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Описание: Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as Group-Based Cryptography Grobner Basis Methods in Cryptography Lattice-Based Cryptography

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
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Цена: 19564.00 р.
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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.
Selected Areas in Cryptography - SAC 2015

Автор: Orr Dunkelman; Liam Keliher
Название: Selected Areas in Cryptography - SAC 2015
ISBN: 3319313002 ISBN-13(EAN): 9783319313009
Издательство: Springer
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Цена: 10342.00 р.
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Описание: This bookcontains revised selected papers from the 22nd International Conference onSelected Areas in Cryptography, SAC 2015, held in Sackville, NB, Canada inAugust 2015. The 26 full papers and 3 short papers presented in this volume were carefullyreviewed and selected from 91 submissions. short papers;

Cryptography

Автор: Stinson
Название: Cryptography
ISBN: 1138197017 ISBN-13(EAN): 9781138197015
Издательство: Taylor&Francis
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Цена: 14086.00 р.
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Описание: Through three editions, Cryptography: Theory and Practice, has been embraced by instructors and students. It offers a comprehensive primer for the subject`s fundamentals and features the most current advances. The fourth edition provides in-depth treatment of the methods and protocols that safeguard the information circulating around the world.

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.
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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.

Guide To Pairing-Based Cryptography

Название: Guide To Pairing-Based Cryptography
ISBN: 1498729509 ISBN-13(EAN): 9781498729505
Издательство: Taylor&Francis
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Цена: 13779.00 р.
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Описание:

This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes.

As well as exploring the basic mathematical background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent developments in optimizations for pairing implementation. Each chapter includes a presentation of the problem it discusses, the mathematical formulation, a discussion of implementation issues, solutions accompanied by code or pseudocode, several numerical results, and references to further reading and notes.

Intended as a self-contained handbook, this book is an invaluable resource for computer scientists, applied mathematicians and security professionals interested in 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.

Algebraic Geometry for Coding Theory and Cryptography

Автор: Everett W. Howe; Kristin E. Lauter; Judy L. Walker
Название: Algebraic Geometry for Coding Theory and Cryptography
ISBN: 3319639307 ISBN-13(EAN): 9783319639307
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM).

Introduction to Cryptography

Автор: Hans Delfs; Helmut Knebl
Название: Introduction to Cryptography
ISBN: 3662479737 ISBN-13(EAN): 9783662479735
Издательство: Springer
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Цена: 9083.00 р.
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Описание: In the second edition the authors added a complete description of the AES, an extended section on cryptographic hash functions, and new sections on random oracle proofs and public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.


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