Introduction to Modern Cryptography

Introduction to Modern Cryptography PDF Author: Jonathan Katz
Publisher: CRC Press
ISBN: 1351133012
Category : Computers
Languages : en
Pages : 515

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Book Description
Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.

Introduction to Modern Cryptography

Introduction to Modern Cryptography PDF Author: Jonathan Katz
Publisher: CRC Press
ISBN: 1351133012
Category : Computers
Languages : en
Pages : 515

Get Book Here

Book Description
Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.

Introduction to Modern Cryptography

Introduction to Modern Cryptography PDF Author: Jonathan Katz
Publisher: CRC Press
ISBN: 146657027X
Category : Computers
Languages : en
Pages : 603

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Book Description
Cryptography is ubiquitous and plays a key role in ensuring data secrecy and integrity as well as in securing computer systems more broadly. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of this fascinating subject. The authors introduce the core principles of modern cryptography, with an emphasis on formal defini

Serious Cryptography

Serious Cryptography PDF Author: Jean-Philippe Aumasson
Publisher: No Starch Press
ISBN: 1593278268
Category : Computers
Languages : en
Pages : 313

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Book Description
This practical guide to modern encryption breaks down the fundamental mathematical concepts at the heart of cryptography without shying away from meaty discussions of how they work. You’ll learn about authenticated encryption, secure randomness, hash functions, block ciphers, and public-key techniques such as RSA and elliptic curve cryptography. You’ll also learn: - Key concepts in cryptography, such as 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 - About various vulnerabilities by examining numerous code examples and use cases - How to choose the best algorithm or protocol and ask vendors the right questions 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. Whether you’re a seasoned practitioner or a beginner looking to dive into the field, Serious Cryptography will provide a complete survey of modern encryption and its applications.

An Introduction to Mathematical Cryptography

An Introduction to Mathematical Cryptography PDF Author: Jeffrey Hoffstein
Publisher: Springer
ISBN: 1493917110
Category : Mathematics
Languages : en
Pages : 549

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Book Description
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 while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.

Modern Cryptography and Elliptic Curves

Modern Cryptography and Elliptic Curves PDF Author: Thomas R. Shemanske
Publisher: American Mathematical Soc.
ISBN: 1470435829
Category : Computers
Languages : en
Pages : 266

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Book Description
This book offers the beginning undergraduate student some of the vista of modern mathematics by developing and presenting the tools needed to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography. This gradual introduction also makes a significant effort to teach students how to produce or discover a proof by presenting mathematics as an exploration, and at the same time, it provides the necessary mathematical underpinnings to investigate the practical and implementation side of elliptic curve cryptography (ECC). Elements of abstract algebra, number theory, and affine and projective geometry are introduced and developed, and their interplay is exploited. Algebra and geometry combine to characterize congruent numbers via rational points on the unit circle, and group law for the set of points on an elliptic curve arises from geometric intuition provided by Bézout's theorem as well as the construction of projective space. The structure of the unit group of the integers modulo a prime explains RSA encryption, Pollard's method of factorization, Diffie–Hellman key exchange, and ElGamal encryption, while the group of points of an elliptic curve over a finite field motivates Lenstra's elliptic curve factorization method and ECC. The only real prerequisite for this book is a course on one-variable calculus; other necessary mathematical topics are introduced on-the-fly. Numerous exercises further guide the exploration.

Understanding Cryptography

Understanding Cryptography PDF Author: Christof Paar
Publisher: Springer Science & Business Media
ISBN: 3642041019
Category : Computers
Languages : en
Pages : 382

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Book Description
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.

Modern Cryptography, Probabilistic Proofs and Pseudorandomness

Modern Cryptography, Probabilistic Proofs and Pseudorandomness PDF Author: Oded Goldreich
Publisher: Springer Science & Business Media
ISBN: 3662125218
Category : Mathematics
Languages : en
Pages : 192

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Book Description
Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.

Cryptography Made Simple

Cryptography Made Simple PDF Author: Nigel Smart
Publisher: Springer
ISBN: 3319219367
Category : Computers
Languages : en
Pages : 478

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Book Description
In this introductory textbook the author explains the key topics in cryptography. He takes a modern approach, where defining what is meant by "secure" is as important as creating something that achieves that goal, and security definitions are central to the discussion throughout. The author balances a largely non-rigorous style — many proofs are sketched only — with appropriate formality and depth. For example, he uses the terminology of groups and finite fields so that the reader can understand both the latest academic research and "real-world" documents such as application programming interface descriptions and cryptographic standards. The text employs colour to distinguish between public and private information, and all chapters include summaries and suggestions for further reading. This is a suitable textbook for advanced undergraduate and graduate students in computer science, mathematics and engineering, and for self-study by professionals in information security. While the appendix summarizes most of the basic algebra and notation required, it is assumed that the reader has a basic knowledge of discrete mathematics, probability, and elementary calculus.

Modern Cryptography for Cybersecurity Professionals

Modern Cryptography for Cybersecurity Professionals PDF Author: Lisa Bock
Publisher: Packt Publishing Ltd
ISBN: 1838647791
Category : Computers
Languages : en
Pages : 286

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Book Description
As a cybersecurity professional, discover how to implement cryptographic techniques to help your organization mitigate the risks of altered, disclosed, or stolen data Key FeaturesDiscover how cryptography is used to secure data in motion as well as at restCompare symmetric with asymmetric encryption and learn how a hash is usedGet to grips with different types of cryptographic solutions along with common applicationsBook Description In today's world, it is important to have confidence in your data storage and transmission strategy. Cryptography can provide you with this confidentiality, integrity, authentication, and non-repudiation. But are you aware of just what exactly is involved in using cryptographic techniques? Modern Cryptography for Cybersecurity Professionals helps you to gain a better understanding of the cryptographic elements necessary to secure your data. The book begins by helping you to understand why we need to secure data and how encryption can provide protection, whether it be in motion or at rest. You'll then delve into symmetric and asymmetric encryption and discover how a hash is used. As you advance, you'll see how the public key infrastructure (PKI) and certificates build trust between parties, so that we can confidently encrypt and exchange data. Finally, you'll explore the practical applications of cryptographic techniques, including passwords, email, and blockchain technology, along with securely transmitting data using a virtual private network (VPN). By the end of this cryptography book, you'll have gained a solid understanding of cryptographic techniques and terms, learned how symmetric and asymmetric encryption and hashed are used, and recognized the importance of key management and the PKI. What you will learnUnderstand how network attacks can compromise dataReview practical uses of cryptography over timeCompare how symmetric and asymmetric encryption workExplore how a hash can ensure data integrity and authenticationUnderstand the laws that govern the need to secure dataDiscover the practical applications of cryptographic techniquesFind out how the PKI enables trustGet to grips with how data can be secured using a VPNWho this book is for This book is for IT managers, security professionals, students, teachers, and anyone looking to learn more about cryptography and understand why it is important in an organization as part of an overall security framework. A basic understanding of encryption and general networking terms and concepts is needed to get the most out of this book.

Real-World Cryptography

Real-World Cryptography PDF Author: David Wong
Publisher: Simon and Schuster
ISBN: 1617296716
Category : Computers
Languages : en
Pages : 398

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Book Description
If you''re browsing the web, using public APIs, making and receiving electronic payments, registering and logging in users, or experimenting with blockchain, you''re relying on cryptography. And you''re probably trusting a collection of tools, frameworks, and protocols to keep your data, users, and business safe. It''s important to understand these tools so you can make the best decisions about how, where, and why to use them. Real-World Cryptography teaches you applied cryptographic techniques to understand and apply security at every level of your systems and applications. about the technology Cryptography is the foundation of information security. This simultaneously ancient and emerging science is based on encryption and secure communication using algorithms that are hard to crack even for high-powered computer systems. Cryptography protects privacy, secures online activity, and defends confidential information, such as credit cards, from attackers and thieves. Without cryptographic techniques allowing for easy encrypting and decrypting of data, almost all IT infrastructure would be vulnerable. about the book Real-World Cryptography helps you understand the cryptographic techniques at work in common tools, frameworks, and protocols so you can make excellent security choices for your systems and applications. There''s no unnecessary theory or jargon--just the most up-to-date techniques you''ll need in your day-to-day work as a developer or systems administrator. Cryptography expert David Wong takes you hands-on with cryptography building blocks such as hash functions and key exchanges, then shows you how to use them as part of your security protocols and applications. Alongside modern methods, the book also anticipates the future of cryptography, diving into emerging and cutting-edge advances such as cryptocurrencies, password-authenticated key exchange, and post-quantum cryptography. Throughout, all techniques are fully illustrated with diagrams and real-world use cases so you can easily see how to put them into practice. what''s inside Best practices for using cryptography Diagrams and explanations of cryptographic algorithms Identifying and fixing cryptography bad practices in applications Picking the right cryptographic tool to solve problems about the reader For cryptography beginners with no previous experience in the field. about the author David Wong is a senior engineer working on Blockchain at Facebook. He is an active contributor to internet standards like Transport Layer Security and to the applied cryptography research community. David is a recognized authority in the field of applied cryptography; he''s spoken at large security conferences like Black Hat and DEF CON and has delivered cryptography training sessions in the industry.