Practical Mathematical Cryptography

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Practical Mathematical Cryptography
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Author : Kristian Gjøsteen
language : en
Publisher: CRC Press
Release Date : 2022-08-17
Practical Mathematical Cryptography written by Kristian Gjøsteen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-17 with Computers categories.
Practical Mathematical Cryptography provides a clear and accessible introduction to practical mathematical cryptography. Cryptography, both as a science and as practice, lies at the intersection of mathematics and the science of computation, and the presentation emphasises the essential mathematical nature of the computations and arguments involved in cryptography. Cryptography is also a practical science, and the book shows how modern cryptography solves important practical problems in the real world, developing the theory and practice of cryptography from the basics to secure messaging and voting. The presentation provides a unified and consistent treatment of the most important cryptographic topics, from the initial design and analysis of basic cryptographic schemes towards applications. Features Builds from theory toward practical applications Suitable as the main text for a mathematical cryptography course Focus on secure messaging and voting systems.
Serious Cryptography 2nd Edition
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Author : Jean-Philippe Aumasson
language : en
Publisher: No Starch Press
Release Date : 2024-10-15
Serious Cryptography 2nd Edition written by Jean-Philippe Aumasson and has been published by No Starch Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Computers categories.
Crypto can be cryptic. Serious Cryptography, 2nd Edition arms you with the tools you need to pave the way to understanding modern crypto. This thoroughly revised and updated edition of the bestselling introduction to modern cryptography breaks down fundamental mathematical concepts without shying away from meaty discussions of how they work. In this practical guide, you’ll gain immeasurable insight into topics like authenticated encryption, secure randomness, hash functions, block ciphers, and public-key techniques such as RSA and elliptic curve cryptography. You’ll find coverage of topics like: The basics of computational security, attacker models, and forward secrecy The strengths and limitations of the TLS protocol behind HTTPS secure websites Quantum computation and post-quantum cryptography How algorithms like AES, ECDSA, Ed25519, Salsa20, and SHA-3 work Advanced techniques like multisignatures, threshold signing, and zero-knowledge proofs Each chapter includes a discussion of common implementation mistakes using real-world examples and details what could go wrong and how to avoid these pitfalls. And, true to form, you’ll get just enough math to show you how the algorithms work so that you can understand what makes a particular solution effective—and how they break. NEW TO THIS EDITION: This second edition has been thoroughly updated to reflect the latest developments in cryptography. You’ll also find a completely new chapter covering the cryptographic protocols in cryptocurrency and blockchain systems. Whether you’re a seasoned practitioner or a beginner looking to dive into the field, Serious Cryptography will demystify this often intimidating topic. You’ll grow to understand modern encryption and its applications so that you can make better decisions about what to implement, when, and how.
An Introduction To Mathematical Cryptography
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Author : Jeffrey Hoffstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-15
An Introduction To Mathematical Cryptography written by Jeffrey Hoffstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-15 with Mathematics categories.
An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.
Modern Cryptography Primer
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Author : Czesław Kościelny
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19
Modern Cryptography Primer written by Czesław Kościelny and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Computers categories.
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.
Mathematics Of Public Key Cryptography
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Author : Steven D. Galbraith
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-15
Mathematics Of Public Key Cryptography written by Steven D. Galbraith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Computers categories.
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
Cryptography Engineering
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Author : Niels Ferguson
language : en
Publisher: John Wiley & Sons
Release Date : 2011-02-02
Cryptography Engineering written by Niels Ferguson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-02 with Computers categories.
The ultimate guide to cryptography, updated from an author team of the world's top cryptography experts. Cryptography is vital to keeping information safe, in an era when the formula to do so becomes more and more challenging. Written by a team of world-renowned cryptography experts, this essential guide is the definitive introduction to all major areas of cryptography: message security, key negotiation, and key management. You'll learn how to think like a cryptographer. You'll discover techniques for building cryptography into products from the start and you'll examine the many technical changes in the field. After a basic overview of cryptography and what it means today, this indispensable resource covers such topics as block ciphers, block modes, hash functions, encryption modes, message authentication codes, implementation issues, negotiation protocols, and more. Helpful examples and hands-on exercises enhance your understanding of the multi-faceted field of cryptography. An author team of internationally recognized cryptography experts updates you on vital topics in the field of cryptography Shows you how to build cryptography into products from the start Examines updates and changes to cryptography Includes coverage on key servers, message security, authentication codes, new standards, block ciphers, message authentication codes, and more Cryptography Engineering gets you up to speed in the ever-evolving field of cryptography.
Understanding Cryptography
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Author : Christof Paar
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-27
Understanding Cryptography written by Christof Paar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-27 with Computers categories.
Cryptography is now ubiquitous – moving beyond the traditional environments, such as government communications and banking systems, we see cryptographic techniques realized in Web browsers, e-mail programs, cell phones, manufacturing systems, embedded software, smart buildings, cars, and even medical implants. Today's designers need a comprehensive understanding of applied cryptography. After an introduction to cryptography and data security, the authors explain the main techniques in modern cryptography, with chapters addressing stream ciphers, the Data Encryption Standard (DES) and 3DES, the Advanced Encryption Standard (AES), block ciphers, the RSA cryptosystem, public-key cryptosystems based on the discrete logarithm problem, elliptic-curve cryptography (ECC), digital signatures, hash functions, Message Authentication Codes (MACs), and methods for key establishment, including certificates and public-key infrastructure (PKI). Throughout the book, the authors focus on communicating the essentials and keeping the mathematics to a minimum, and they move quickly from explaining the foundations to describing practical implementations, including recent topics such as lightweight ciphers for RFIDs and mobile devices, and current key-length recommendations. The authors have considerable experience teaching applied cryptography to engineering and computer science students and to professionals, and they make extensive use of examples, problems, and chapter reviews, while the book’s website offers slides, projects and links to further resources. This is a suitable textbook for graduate and advanced undergraduate courses and also for self-study by engineers.
Handbook Of Applied Cryptography
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Author : Alfred J. Menezes
language : en
Publisher: CRC Press
Release Date : 1996-10-16
Handbook Of Applied Cryptography written by Alfred J. Menezes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-16 with Mathematics categories.
Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional: It serves as an introduction to the more practical aspects of both conventional and public-key cryptography It is a valuable source of the latest techniques and algorithms for the serious practitioner It provides an integrated treatment of the field, while still presenting each major topic as a self-contained unit It provides a mathematical treatment to accompany practical discussions It contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussed Now in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.
Modern Cryptography
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Author : Wenbo Mao
language : en
Publisher: Prentice Hall
Release Date : 2003-07-25
Modern Cryptography written by Wenbo Mao and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-25 with Computers categories.
Appropriate for all graduate-level and advanced undergraduate courses in cryptography and related mathematical fields. Modern Cryptography is an indispensable resource for every advanced student of cryptography who intends to implement strong security in real-world applications. Leading HP security expert Wenbo Mao explains why conventional crypto schemes, protocols, and systems are profoundly vulnerable, introducing both fundamental theory and real-world attacks. Next, he shows how to implement crypto systems that are truly "fit for application," and formally demonstrate their fitness. He begins by reviewing the foundations of cryptography: probability, information theory, computational complexity, number theory, algebraic techniques, and more. He presents the "ideal" principles of authentication, comparing them with real-world implementation. Mao assesses the strength of IPSec, IKE, SSH, SSL, TLS, Kerberos, and other standards, and offers practical guidance on designing stronger crypto schemes and using formal methods to prove their security and efficiency. Finally, he presents an in-depth introduction to zero-knowledge protocols: their characteristics, development, arguments, and proofs. Mao relies on practical examples throughout, and provides all the mathematical background students will need.
Algebraic Aspects Of Cryptography
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Author : Neal Koblitz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algebraic Aspects Of Cryptography written by Neal Koblitz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for the most part has not previously appeared in textbook form. A novel feature is the inclusion of three types of cryptography - "hidden monomial" systems, combinatorial-algebraic sys tems, and hyperelliptic systems - that are at an early stage of development. It is too soon to know which, if any, of these cryptosystems will ultimately be of practical use. But in the rapidly growing field of cryptography it is worthwhile to continually explore new one-way constructions coming from different areas of mathematics. Perhaps some of the readers will contribute to the research that still needs to be done. This book is designed not as a comprehensive reference work, but rather as a selective textbook. The many exercises (with answers at the back of the book) make it suitable for use in a math or computer science course or in a program of independent study.