Fundamentals of Cryptology
Fundamentals of Cryptology

Author: Henk C.A. van Tilborg

Publisher: Springer Science & Business Media

Published: 2006-04-18

Total Pages: 496

ISBN-13: 0306470535

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The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries. Modern communication techniques, using computers connected through networks, make all data even more vulnerable for these threats. Also, new issues have come up that were not relevant before, e. g. how to add a (digital) signature to an electronic document in such a way that the signer can not deny later on that the document was signed by him/her. Cryptology addresses the above issues. It is at the foundation of all information security. The techniques employed to this end have become increasingly mathematical of nature. This book serves as an introduction to modern cryptographic methods. After a brief survey of classical cryptosystems, it concentrates on three main areas. First of all, stream ciphers and block ciphers are discussed. These systems have extremely fast implementations, but sender and receiver have to share a secret key. Public key cryptosystems (the second main area) make it possible to protect data without a prearranged key. Their security is based on intractable mathematical problems, like the factorization of large numbers. The remaining chapters cover a variety of topics, such as zero-knowledge proofs, secret sharing schemes and authentication codes. Two appendices explain all mathematical prerequisites in great detail. One is on elementary number theory (Euclid's Algorithm, the Chinese Remainder Theorem, quadratic residues, inversion formulas, and continued fractions). The other appendix gives a thorough introduction to finite fields and their algebraic structure.

Fundamentals of Cryptography
Fundamentals of Cryptography

Author: Duncan Buell

Publisher: Springer Nature

Published: 2021-07-17

Total Pages: 279

ISBN-13: 3030734927

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Cryptography, as done in this century, is heavily mathematical. But it also has roots in what is computationally feasible. This unique textbook text balances the theorems of mathematics against the feasibility of computation. Cryptography is something one actually “does”, not a mathematical game one proves theorems about. There is deep math; there are some theorems that must be proved; and there is a need to recognize the brilliant work done by those who focus on theory. But at the level of an undergraduate course, the emphasis should be first on knowing and understanding the algorithms and how to implement them, and also to be aware that the algorithms must be implemented carefully to avoid the “easy” ways to break the cryptography. This text covers the algorithmic foundations and is complemented by core mathematics and arithmetic.

Understanding Cryptography
Understanding Cryptography

Author: Christof Paar

Publisher: Springer Science & Business Media

Published: 2009-11-27

Total Pages: 382

ISBN-13: 3642041019

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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.

Cryptology Unlocked
Cryptology Unlocked

Author: Reinhard Wobst

Publisher: John Wiley & Sons

Published: 2007-08-20

Total Pages: 554

ISBN-13: 9780470516195

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Cryptology includes data encryption (cryptography), cryptographic protocols and code breaking to provide the fundamentals of data security. This new book introduces cryptography in a unique and non-mathematical style. Cryptology Unlocked explains encryption, crypto analysis (classic and modern algorithms), cryptographic protocols, digital standards and much more. This innovative book will reveal some of the dangers of code breaking, and highlights ways to master code-breaking and attack algorithms. Topics range from the simplest enciphering methods to precise investigations of modern algorithms. Everything you need to understand the delicate balance between complex and actual information, with a peppering of anecdotes along the way. Join the cryptology adventure, and understand: The difference between good and bad algorithms Whether or not secret services can read all messages The real-world affect cryptography had on World War II The unspoken security risks behind digital mobile standards GSM and UMTS The everyday implications on digital signatures, PINs and online banking

Introduction to Modern Cryptography
Introduction to Modern Cryptography

Author: Jonathan Katz

Publisher: CRC Press

Published: 2020-12-21

Total Pages: 435

ISBN-13: 1351133012

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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.

Handbook of Applied Cryptography
Handbook of Applied Cryptography

Author: Alfred J. Menezes

Publisher: CRC Press

Published: 2018-12-07

Total Pages: 810

ISBN-13: 0429881320

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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.

Embedded Security in Cars
Embedded Security in Cars

Author: Kerstin Lemke

Publisher: Springer Science & Business Media

Published: 2006-03-28

Total Pages: 271

ISBN-13: 3540284281

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Most innovations in the car industry are based on software and electronics, and IT will soon constitute the major production cost factor. It seems almost certain that embedded IT security will be crucial for the next generation of applications. Yet whereas software safety has become a relatively well-established field, the protection of automotive IT systems against manipulation or intrusion has only recently started to emerge. Lemke, Paar, and Wolf collect in this volume a state-of-the-art overview on all aspects relevant for IT security in automotive applications. After an introductory chapter written by the editors themselves, the contributions from experienced experts of different disciplines are structured into three parts. "Security in the Automotive Domain" describes applications for which IT security is crucial, like immobilizers, tachographs, and software updates. "Embedded Security Technologies" details security technologies relevant for automotive applications, e.g., symmetric and asymmetric cryptography, and wireless security. "Business Aspects of IT Systems in Cars" shows the need for embedded security in novel applications like location-based navigation systems and personalization. The first book in this area of fast-growing economic and scientific importance, it is indispensable for both researchers in software or embedded security and professionals in the automotive industry.

A Classical Introduction to Cryptography
A Classical Introduction to Cryptography

Author: Serge Vaudenay

Publisher: Springer Science & Business Media

Published: 2005-09-16

Total Pages: 370

ISBN-13: 9780387254647

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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.

An Introduction to Mathematical Cryptography
An Introduction to Mathematical Cryptography

Author: Jeffrey Hoffstein

Publisher: Springer

Published: 2014-09-11

Total Pages: 549

ISBN-13: 1493917110

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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.

An Introduction to Cryptography
An Introduction to Cryptography

Author: Richard A. Mollin

Publisher: CRC Press

Published: 2006-09-18

Total Pages: 398

ISBN-13: 1420011243

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Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field. With numerous additions and restructured material, this edition