Guide to Pairing-Based Cryptography
Guide to Pairing-Based Cryptography

Author: Nadia El Mrabet

Publisher: CRC Press

Published: 2017-01-06

Total Pages: 410

ISBN-13: 1498729517

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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.

Guide to Pairing-Based Cryptography
Guide to Pairing-Based Cryptography

Author: Nadia El Mrabet

Publisher: CRC Press

Published: 2017-01-06

Total Pages: 587

ISBN-13: 1315353148

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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.

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.

Handbook of Elliptic and Hyperelliptic Curve Cryptography
Handbook of Elliptic and Hyperelliptic Curve Cryptography

Author: Henri Cohen

Publisher: CRC Press

Published: 2005-07-19

Total Pages: 843

ISBN-13: 1420034987

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The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The main reason is that no subexponential algorithm for computing discrete logarithms on small genus curves is currently available, except in very special cases. Therefore curve-based cryptosystems require much smaller key sizes than RSA to attain the same security level. This makes them particularly attractive for implementations on memory-restricted devices like smart cards and in high-security applications. The Handbook of Elliptic and Hyperelliptic Curve Cryptography introduces the theory and algorithms involved in curve-based cryptography. After a very detailed exposition of the mathematical background, it provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides the algorithms in an explicit manner. It also surveys generic methods to compute discrete logarithms and details index calculus methods for hyperelliptic curves. For some special curves the discrete logarithm problem can be transferred to an easier one; the consequences are explained and suggestions for good choices are given. The authors present applications to protocols for discrete-logarithm-based systems (including bilinear structures) and explain the use of elliptic and hyperelliptic curves in factorization and primality proving. Two chapters explore their design and efficient implementations in smart cards. Practical and theoretical aspects of side-channel attacks and countermeasures and a chapter devoted to (pseudo-)random number generation round off the exposition. The broad coverage of all- important areas makes this book a complete handbook of elliptic and hyperelliptic curve cryptography and an invaluable reference to anyone interested in this exciting field.

Elliptic Curves
Elliptic Curves

Author: Lawrence C. Washington

Publisher: CRC Press

Published: 2008-04-03

Total Pages: 533

ISBN-13: 1420071475

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Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application

Introduction to Cryptography
Introduction to Cryptography

Author: Sahadeo Padhye

Publisher: CRC Press

Published: 2018-09-04

Total Pages: 191

ISBN-13: 1351628135

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Electronic communication and financial transactions have assumed massive proportions today. But they come with high risks. Achieving cyber security has become a top priority, and has become one of the most crucial areas of study and research in IT. This book introduces readers to perhaps the most effective tool in achieving a secure environment, i.e. cryptography. This book offers more solved examples than most books on the subject, it includes state of the art topics and discusses the scope of future research.

Functional Encryption
Functional Encryption

Author: Khairol Amali Bin Ahmad

Publisher: Springer Nature

Published: 2021-06-12

Total Pages: 311

ISBN-13: 3030608905

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This book provides awareness of methods used for functional encryption in the academic and professional communities. The book covers functional encryption algorithms and its modern applications in developing secure systems via entity authentication, message authentication, software security, cyber security, hardware security, Internet of Thing (IoT), cloud security, smart card technology, CAPTCHA, digital signature, and digital watermarking. This book is organized into fifteen chapters; topics include foundations of functional encryption, impact of group theory in cryptosystems, elliptic curve cryptography, XTR algorithm, pairing based cryptography, NTRU algorithms, ring units, cocks IBE schemes, Boneh-Franklin IBE, Sakai-Kasahara IBE, hierarchical identity based encryption, attribute based Encryption, extensions of IBE and related primitives, and digital signatures. Explains the latest functional encryption algorithms in a simple way with examples; Includes applications of functional encryption in information security, application security, and network security; Relevant to academics, research scholars, software developers, etc.

Pairing-Based Cryptography - Pairing 2010
Pairing-Based Cryptography - Pairing 2010

Author: Marc Joye

Publisher: Springer

Published: 2010-11-18

Total Pages: 479

ISBN-13: 3642174558

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This book constitutes the refereed proceedings of the 4th International Conference on Pairing-Based Cryptography, Pairing 2010, held in Yamanaka Hot Spring, Japan, in December 2010. The 25 full papers presented were carefully reviewed and selected from 64 submissions. The contributions are organized in topical sections on: efficient software implementation; digital signatures; cryptographic protocols; key agreement; applications - code generation, time-released encryption, and cloud computing; point encoding and pairing-friendly curves; ID-based encryption schemes; and efficient hardware, FPGAs, and algorithms.

Information Security and Cryptology
Information Security and Cryptology

Author: Fuchun Guo

Publisher: Springer

Published: 2019-03-21

Total Pages: 672

ISBN-13: 3030142345

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This book constitutes the post-conference proceedings of the 14th International Conference on Information Security and Cryptology, Inscrypt 2018, held in Fuzhou, China, in December 2018. The 31 full papers presented together with 5 short papers and 1 invited paper were carefully reviewed and selected from 93 submissions. The papers cover topics in the field of blockchain and crypto currency; lattice-based cryptology; symmetric cryptology; applied cryptography; information security; assymetric encryption; and foundations.

Guide to Bluetooth Security
Guide to Bluetooth Security

Author: Karen Scarfone

Publisher: DIANE Publishing

Published: 2009-05

Total Pages: 43

ISBN-13: 1437913490

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This document provides info. to organizations on the security capabilities of Bluetooth and provide recommendations to organizations employing Bluetooth technologies on securing them effectively. It discusses Bluetooth technologies and security capabilities in technical detail. This document assumes that the readers have at least some operating system, wireless networking, and security knowledge. Because of the constantly changing nature of the wireless security industry and the threats and vulnerabilities to the technologies, readers are strongly encouraged to take advantage of other resources (including those listed in this document) for more current and detailed information. Illustrations.