## Introduction to Modern Cryptography, Second Edition

**Author**: Jonathan Katz,Yehuda Lindell

**Publisher:**CRC Press

**ISBN:**1466570261

**Category:**Computers

**Page:**603

**View:**7254

**DOWNLOAD NOW »**

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 definitions, clear assumptions, and rigorous proofs of security. The book begins by focusing on private-key cryptography, including an extensive treatment of private-key encryption, message authentication codes, and hash functions. The authors also present design principles for widely used stream ciphers and block ciphers including RC4, DES, and AES, plus provide provable constructions of stream ciphers and block ciphers from lower-level primitives. The second half of the book covers public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, and El Gamal cryptosystems (and others), followed by a thorough treatment of several standardized public-key encryption and digital signature schemes. Integrating a more practical perspective without sacrificing rigor, this widely anticipated Second Edition offers improved treatment of: Stream ciphers and block ciphers, including modes of operation and design principles Authenticated encryption and secure communication sessions Hash functions, including hash-function applications and design principles Attacks on poorly implemented cryptography, including attacks on chained-CBC encryption, padding-oracle attacks, and timing attacks The random-oracle model and its application to several standardized, widely used public-key encryption and signature schemes Elliptic-curve cryptography and associated standards such as DSA/ECDSA and DHIES/ECIES Containing updated exercises and worked examples, Introduction to Modern Cryptography, Second Edition can serve as a textbook for undergraduate- or graduate-level courses in cryptography, a valuable reference for researchers and practitioners, or a general introduction suitable for self-study.

## Introduction to Modern Cryptography

*Principles and Protocols*

**Author**: Jonathan Katz,Yehuda Lindell

**Publisher:**CRC Press

**ISBN:**1584885513

**Category:**Computers

**Page:**552

**View:**3695

**DOWNLOAD NOW »**

Cryptography plays a key role in ensuring the privacy and integrity of data and the security of computer networks. Introduction to Modern Cryptography provides a rigorous yet accessible treatment of modern cryptography, with a focus on formal definitions, precise assumptions, and rigorous proofs. The authors introduce the core principles of modern cryptography, including the modern, computational approach to security that overcomes the limitations of perfect secrecy. An extensive treatment of private-key encryption and message authentication follows. The authors also illustrate design principles for block ciphers, such as the Data Encryption Standard (DES) and the Advanced Encryption Standard (AES), and present provably secure constructions of block ciphers from lower-level primitives. The second half of the book focuses on public-key cryptography, beginning with a self-contained introduction to the number theory needed to understand the RSA, Diffie-Hellman, El Gamal, and other cryptosystems. After exploring public-key encryption and digital signatures, the book concludes with a discussion of the random oracle model and its applications. Serving as a textbook, a reference, or for self-study, Introduction to Modern Cryptography presents the necessary tools to fully understand this fascinating subject.

## Serious Cryptography

*A Practical Introduction to Modern Encryption*

**Author**: Jean-Philippe Aumasson

**Publisher:**No Starch Press

**ISBN:**1593278829

**Category:**Computers

**Page:**312

**View:**8556

**DOWNLOAD NOW »**

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.

## Introduction to Cryptography

*Principles and Applications*

**Author**: Hans Delfs,Helmut Knebl

**Publisher:**Springer Science & Business Media

**ISBN:**3540492437

**Category:**Computers

**Page:**367

**View:**9048

**DOWNLOAD NOW »**

The opening section of this book covers key concepts of cryptography, from encryption and digital signatures to cryptographic protocols. Essential techniques are demonstrated in protocols for key exchange, user identification, electronic elections and digital cash. The second part addresses advanced topics, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators. Examples of provably secure encryption and signature schemes and their security proofs are given. Though particular attention is given to the mathematical foundations, no special background in mathematics is presumed. The necessary algebra, number theory and probability theory are included in the appendix. Each chapter closes with a collection of exercises. The second edition presents new material, including a complete description of the AES, an extended section on cryptographic hash functions, a new section on random oracle proofs, and a new section on public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.

## A Classical Introduction to Cryptography

*Applications for Communications Security*

**Author**: Serge Vaudenay

**Publisher:**Springer Science & Business Media

**ISBN:**9780387254647

**Category:**Computers

**Page:**336

**View:**406

**DOWNLOAD NOW »**

A Classical Introduction to Cryptography: Applications for Communications Security introduces fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes. This advanced-level textbook covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes. A Classical Introduction to Cryptography: Applications for Communications Security is designed for upper-level undergraduate and graduate-level students in computer science. This book is also suitable for researchers and practitioners in industry. A separate exercise/solution booklet is available as well, please go to www.springeronline.com under author: Vaudenay for additional details on how to purchase this booklet.

## Modern Cryptography, Probabilistic Proofs and Pseudorandomness

**Author**: Oded Goldreich

**Publisher:**Springer Science & Business Media

**ISBN:**9783540647669

**Category:**Mathematics

**Page:**183

**View:**8573

**DOWNLOAD NOW »**

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.

## An Introduction to Mathematical Cryptography

**Author**: Jeffrey Hoffstein,Jill Pipher,Joseph H. Silverman

**Publisher:**Springer

**ISBN:**1493917110

**Category:**Mathematics

**Page:**538

**View:**3353

**DOWNLOAD NOW »**

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.

## Introduction to Cryptography

**Author**: Johannes Buchmann

**Publisher:**Springer Science & Business Media

**ISBN:**1441990038

**Category:**Mathematics

**Page:**338

**View:**8144

**DOWNLOAD NOW »**

This book explains the basic methods of modern cryptography. It is written for readers with only basic mathematical knowledge who are interested in modern cryptographic algorithms and their mathematical foundation. Several exercises are included following each chapter. From the reviews: "Gives a clear and systematic introduction into the subject whose popularity is ever increasing, and can be recommended to all who would like to learn about cryptography." --ZENTRALBLATT MATH

## El escarabajo de oro

**Author**: N.A

**Publisher:**Andres Bello

**ISBN:**N.A

**Category:**

**Page:**24

**View:**8338

**DOWNLOAD NOW »**

## Introduction to Cryptography with Java Applets

**Author**: David Bishop

**Publisher:**Jones & Bartlett Learning

**ISBN:**9780763722074

**Category:**Computers

**Page:**370

**View:**589

**DOWNLOAD NOW »**

Introduction to Cryptography with Java Applets covers the mathematical basis of cryptography and cryptanalysis, like linear diophantine equations, linear congruences, systems of linear congruences, quadratic congruences, and exponential congruences. The chapters present theorems and proofs, and many mathematical examples.Cryptography with Java Applets also covers programming ciphers and cryptanalytic attacks on ciphers. In addition many other types of cryptographic applications, like digest functions, shadows, database encryption, message signing, establishing keys, large integer arithmetic, pseudo-random bit generation, and authentication are included. The author has developed various Java crypto classes to perform these functions, and many programming exercises are assigned to the reader. The reader should be someone with a basic working knowledge of Java, but knowledge of number theory or cryptography is not necessary. What sets this Introduction to Cyrptography with Java Applets apart from other crypto books is the level of interactivity with the reader. There are many Java applets on the World Wide Web that students can run from their computers to see various ciphers and other crypto concepts at work. They do not need a Java compiler or interpreter to do this, just an Internet connection.

## Una mente prodigiosa

**Author**: Sylvia Nasar

**Publisher:**DEBOLS!LLO

**ISBN:**8490322988

**Category:**Biography & Autobiography

**Page:**632

**View:**689

**DOWNLOAD NOW »**

La magnífica biografía del gran genio John Nash, una obra que recoge lo mejor y lo peor de esta aventura apasionante por los caminos de la genialidad. En 1949, John Forbes Nash era un joven estudiante en Princeton que con su tesis doctoral, dedicada al desarrollo de la teoría de juegos, dio buena muestra de un talento que impresionó a hombres de la talla de Albert Einstein, Robert Oppenheimer y John von Neuman. Más tarde, cuando trabajaba como profesor en el MIT de Cambridge, Massachusetts, se dedicó a investigar y resolver problemas matemáticos de gran envergadura, y en 1994 fue galardonado con el Premio Nobel de Economía. Este currículum, en apariencia impecable, solo nos habla de una parte de la vida de Forbes, pero hay otros aspectos del genio que lo revelan como un hombre hundido en el desamor y perdido entre los fantasmas de la esquizofrenia, una enfermedad que lo mantuvo recluido durante años en clínicas mentales. Hace diez años, Sylvia Nasar siguió paso a paso las peripecias de la turbulenta vida del matemático para entregarnos esta magnífica biografía, que ahora cuenta con un nuevo prólogo de la autora. En ella se recoge lo mejor y lo peor de una aventura vital tan compleja e intrigante como un teorema con rostro humano. Reseñas: «Hay historias que merecen ser contadas y personajes que deberían ser ampliamente conocidos. La historia de la vida del matemático John Forbes Nash es una de ellas.» José Manuel Sánchez Ron, Babelia «Dos párrafos y me enganché.» Oliver sacks

## Introduction to Cryptography with Maple

**Author**: José Luis Gómez Pardo

**Publisher:**Springer Science & Business Media

**ISBN:**3642321666

**Category:**Computers

**Page:**706

**View:**3617

**DOWNLOAD NOW »**

This introduction to cryptography employs a programming-oriented approach to study the most important cryptographic schemes in current use and the main cryptanalytic attacks against them. Discussion of the theoretical aspects, emphasizing precise security definitions based on methodological tools such as complexity and randomness, and of the mathematical aspects, with emphasis on number-theoretic algorithms and their applications to cryptography and cryptanalysis, is integrated with the programming approach, thus providing implementations of the algorithms and schemes as well as examples of realistic size. A distinctive feature of the author's approach is the use of Maple as a programming environment in which not just the cryptographic primitives but also the most important cryptographic schemes are implemented following the recommendations of standards bodies such as NIST, with many of the known cryptanalytic attacks implemented as well. The purpose of the Maple implementations is to let the reader experiment and learn, and for this reason the author includes numerous examples. The book discusses important recent subjects such as homomorphic encryption, identity-based cryptography and elliptic curve cryptography. The algorithms and schemes which are treated in detail and implemented in Maple include AES and modes of operation, CMAC, GCM/GMAC, SHA-256, HMAC, RSA, Rabin, Elgamal, Paillier, Cocks IBE, DSA and ECDSA. In addition, some recently introduced schemes enjoying strong security properties, such as RSA-OAEP, Rabin-SAEP, Cramer--Shoup, and PSS, are also discussed and implemented. On the cryptanalysis side, Maple implementations and examples are used to discuss many important algorithms, including birthday and man-in-the-middle attacks, integer factorization algorithms such as Pollard's rho and the quadratic sieve, and discrete log algorithms such as baby-step giant-step, Pollard's rho, Pohlig--Hellman and the index calculus method. This textbook is suitable for advanced undergraduate and graduate students of computer science, engineering and mathematics, satisfying the requirements of various types of courses: a basic introductory course; a theoretically oriented course whose focus is on the precise definition of security concepts and on cryptographic schemes with reductionist security proofs; a practice-oriented course requiring little mathematical background and with an emphasis on applications; or a mathematically advanced course addressed to students with a stronger mathematical background. The main prerequisite is a basic knowledge of linear algebra and elementary calculus, and while some knowledge of probability and abstract algebra would be helpful, it is not essential because the book includes the necessary background from these subjects and, furthermore, explores the number-theoretic material in detail. The book is also a comprehensive reference and is suitable for self-study by practitioners and programmers.

## Understanding Cryptography

*A Textbook for Students and Practitioners*

**Author**: Christof Paar,Jan Pelzl

**Publisher:**Springer Science & Business Media

**ISBN:**9783642041013

**Category:**Computers

**Page:**372

**View:**7082

**DOWNLOAD NOW »**

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.

## An Introduction to Cryptography

**Author**: Richard A. Mollin

**Publisher:**CRC Press

**ISBN:**9781584881278

**Category:**Mathematics

**Page:**392

**View:**8920

**DOWNLOAD NOW »**

INTRODUCTION FOR THE UNINITIATED Heretofore, there has been no suitable introductory book that provides a solid mathematical treatment of cryptography for students with little or no background in number theory. By presenting the necessary mathematics as needed, An Introduction to Cryptography superbly fills that void. Although it is intended for the undergraduate student needing an introduction to the subject of cryptography, it contains enough optional, advanced material to challenge even the most informed reader, and provides the basis for a second course on the subject. Beginning with an overview of the history of cryptography, the material covers the basics of computer arithmetic and explores complexity issues. The author then presents three comprehensive chapters on symmetric-key cryptosystems, public-key cryptosystems, and primality testing. There is an optional chapter on four factoring methods: Pollard's p-1 method, the continued fraction algorithm, the quadratic sieve, and the number field sieve. Another optional chapter contains detailed development of elliptic curve cryptosystems, zero-knowledge, and quantum cryptography. He illustrates all methods with worked examples and includes a full, but uncluttered description of the numerous cryptographic applications. SUSTAINS INTEREST WITH ENGAGING MATERIAL Throughout the book, the author gives a human face to cryptography by including more than 50 biographies of the individuals who helped develop cryptographic concepts. He includes a number of illustrative and motivating examples, as well as optional topics that go beyond the basics presented in the core data. With an extensive index and a list of symbols for easy reference, An Introduction to Cryptography is the essential fundamental text on cryptography.

## Making, Breaking Codes

*An Introduction to Cryptography*

**Author**: Paul B. Garrett

**Publisher:**Pearson

**ISBN:**9780130303691

**Category:**Business & Economics

**Page:**524

**View:**9711

**DOWNLOAD NOW »**

This unique book explains the basic issues of classical and modern cryptography, and provides a self contained essential mathematical background in number theory, abstract algebra, and probability—with surveys of relevant parts of complexity theory and other things. A user-friendly, down-to-earth tone presents concretely motivated introductions to these topics.More detailed chapter topics include simple ciphers; applying ideas from probability; substitutions, transpositions, permutations; modern symmetric ciphers; the integers; prime numbers; powers and roots modulo primes; powers and roots for composite moduli; weakly multiplicative functions; quadratic symbols, quadratic reciprocity; pseudoprimes; groups; sketches of protocols; rings, fields, polynomials; cyclotomic polynomials, primitive roots; pseudo-random number generators; proofs concerning pseudoprimality; factorization attacks finite fields; and elliptic curves. For personnel in computer security, system administration, and information systems.

## Advances in Computers

**Author**: N.A

**Publisher:**Academic Press

**ISBN:**9780080566627

**Category:**Computers

**Page:**321

**View:**5996

**DOWNLOAD NOW »**

Advances in Computers

## Modern Cryptography and Elliptic Curves: A Beginner’s Guide

**Author**: Thomas R. Shemanske

**Publisher:**American Mathematical Soc.

**ISBN:**1470435829

**Category:**Cryptography

**Page:**252

**View:**1378

**DOWNLOAD NOW »**

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 Windows CardSpace

*An Introduction to the Concepts and Challenges of Digital Identities*

**Author**: Vittorio Bertocci,Garrett Serack,Caleb Baker

**Publisher:**Pearson Education

**ISBN:**9780132701709

**Category:**Computers

**Page:**384

**View:**341

**DOWNLOAD NOW »**

Wi>Understanding Windows CardSpaceis the first insider’s guide to Windows CardSpace and the broader topic of identity management for technical and business professionals. Drawing on the authors’ unparalleled experience earned by working with the CardSpace product team and by implementing state-of-the-art CardSpace-based systems at leading enterprises, it offers unprecedented insight into the realities of identity management: from planning and design through deployment. .

## Introduction to Cryptography with Open-Source Software

**Author**: Alasdair McAndrew

**Publisher:**CRC Press

**ISBN:**1439825718

**Category:**Computers

**Page:**461

**View:**4456

**DOWNLOAD NOW »**

Once the privilege of a secret few, cryptography is now taught at universities around the world. Introduction to Cryptography with Open-Source Software illustrates algorithms and cryptosystems using examples and the open-source computer algebra system of Sage. The author, a noted educator in the field, provides a highly practical learning experience by progressing at a gentle pace, keeping mathematics at a manageable level, and including numerous end-of-chapter exercises. Focusing on the cryptosystems themselves rather than the means of breaking them, the book first explores when and how the methods of modern cryptography can be used and misused. It then presents number theory and the algorithms and methods that make up the basis of cryptography today. After a brief review of "classical" cryptography, the book introduces information theory and examines the public-key cryptosystems of RSA and Rabin’s cryptosystem. Other public-key systems studied include the El Gamal cryptosystem, systems based on knapsack problems, and algorithms for creating digital signature schemes. The second half of the text moves on to consider bit-oriented secret-key, or symmetric, systems suitable for encrypting large amounts of data. The author describes block ciphers (including the Data Encryption Standard), cryptographic hash functions, finite fields, the Advanced Encryption Standard, cryptosystems based on elliptical curves, random number generation, and stream ciphers. The book concludes with a look at examples and applications of modern cryptographic systems, such as multi-party computation, zero-knowledge proofs, oblivious transfer, and voting protocols.