Elliptic Curve Digital Signature Algorithm In Theory And Practice
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Elliptic Curve Digital Signature Algorithm In Theory And Practice
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Author : Richard Johnson
language : en
Publisher: HiTeX Press
Release Date : 2025-06-16
Elliptic Curve Digital Signature Algorithm In Theory And Practice written by Richard Johnson and has been published by HiTeX Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-16 with Computers categories.
"Elliptic Curve Digital Signature Algorithm in Theory and Practice" "Elliptic Curve Digital Signature Algorithm in Theory and Practice" is an authoritative guide that offers readers a comprehensive exploration of ECDSA from fundamental principles to cutting-edge applications. The book begins with a detailed study of the algebraic underpinnings of elliptic curve cryptography, examining algebraic structures, coordinate systems, and the essential group laws that form the basis for secure cryptographic schemes. Through rigorous comparisons with classical algorithms like RSA and DSA, and an analysis of mathematical attacks and curve vulnerabilities, the work equips readers with a deep understanding of the theory that underlines the robust security offered by ECDSA. Building on these foundations, the text systematically covers digital signature schemes and the formal security models that define their resilience in the digital landscape. It provides a technical walkthrough of the ECDSA specification, including parameter selection, international standards compliance, point encoding, and the implementation nuances necessary for practical deployment. Comprehensive chapters address performance optimizations, defense mechanisms against side-channel and implementation-level attacks, and approaches for secure operation in constrained environments such as embedded and IoT devices. Additionally, the book demystifies advanced ECDSA variants and extensions, including threshold signatures, batching, aggregation techniques, and emerging trends like post-quantum and hybrid cryptographic systems. Completing the journey from theory to practice, this volume delivers an in-depth review of real-world deployments and key management strategies in diverse domains—ranging from secure communication protocols and blockchain platforms to hardware security modules and large-scale enterprise systems. Case studies and practical guidelines illuminate best practices for integration, auditability, compliance, and incident response. With a dedicated focus on testing, formal verification, continuous integration, and evolving research trajectories, this book is an indispensable resource for security professionals, implementers, and academics striving to navigate and contribute to the dynamic landscape of digital signatures and elliptic curve cryptography.
Public Key Cryptography
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Author : Abhijit Das
language : en
Publisher: Pearson Education India
Release Date : 2009
Public Key Cryptography written by Abhijit Das and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.
Public-key Cryptography provides a comprehensive coverage of the mathematical tools required for understanding the techniques of public-key cryptography and cryptanalysis. Key topics covered in the book include common cryptographic primitives and symmetric techniques, quantum cryptography, complexity theory, and practical cryptanalytic techniques such as side-channel attacks and backdoor attacks.Organized into eight chapters and supplemented with four appendices, this book is designed to be a self-sufficient resource for all students, teachers and researchers interested in the field of cryptography.
Elliptic Curves
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Author : Lawrence C. Washington
language : en
Publisher: CRC Press
Release Date : 2008-04-03
Elliptic Curves written by Lawrence C. Washington and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-03 with Computers categories.
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
Handbook Of Elliptic And Hyperelliptic Curve Cryptography
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Author : Henri Cohen
language : en
Publisher: CRC Press
Release Date : 2005-07-19
Handbook Of Elliptic And Hyperelliptic Curve Cryptography written by Henri Cohen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-19 with Mathematics categories.
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 In Cryptography
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Author : Ian F. Blake
language : en
Publisher: Cambridge University Press
Release Date : 1999-07-08
Elliptic Curves In Cryptography written by Ian F. Blake 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 1999-07-08 with Computers categories.
This book summarizes knowledge built up within Hewlett-Packard over a number of years, and explains the mathematics behind practical implementations of elliptic curve systems. Due to the advanced nature of the mathematics there is a high barrier to entry for individuals and companies to this technology. Hence this book will be invaluable not only to mathematicians wanting to see how pure mathematics can be applied but also to engineers and computer scientists wishing (or needing) to actually implement such systems.
Cognitive Informatics For Revealing Human Cognition Knowledge Manipulations In Natural Intelligence
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Author : Wang, Yingxu
language : en
Publisher: IGI Global
Release Date : 2012-11-30
Cognitive Informatics For Revealing Human Cognition Knowledge Manipulations In Natural Intelligence written by Wang, Yingxu and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Science categories.
"This book presents indepth research that builds a link between natural and life sciences with informatics and computer science for investigating cognitive mechanisms and the human information processes"--
Cybercryptography Applicable Cryptography For Cyberspace Security
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Author : Song Y. Yan
language : en
Publisher: Springer
Release Date : 2018-12-04
Cybercryptography Applicable Cryptography For Cyberspace Security written by Song Y. Yan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-04 with Computers categories.
This book provides the basic theory, techniques, and algorithms of modern cryptography that are applicable to network and cyberspace security. It consists of the following nine main chapters: Chapter 1 provides the basic concepts and ideas of cyberspace and cyberspace security, Chapters 2 and 3 provide an introduction to mathematical and computational preliminaries, respectively. Chapters 4 discusses the basic ideas and system of secret-key cryptography, whereas Chapters 5, 6, and 7 discuss the basic ideas and systems of public-key cryptography based on integer factorization, discrete logarithms, and elliptic curves, respectively. Quantum-safe cryptography is presented in Chapter 8 and offensive cryptography, particularly cryptovirology, is covered in Chapter 9. This book can be used as a secondary text for final-year undergraduate students and first-year postgraduate students for courses in Computer, Network, and Cyberspace Security. Researchers and practitioners working in cyberspace security and network security will also find this book useful as a reference.
Cryptographic Hardware And Embedded Systems Ches 2008
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Author : Elisabeth Oswald
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-18
Cryptographic Hardware And Embedded Systems Ches 2008 written by Elisabeth Oswald 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 2008-07-18 with Computers categories.
by Andrey Bogdanov, Thomas Eisenbarth, Andy Rupp and Christopher Wolf. The purpose of the award is to formally acknowledge excellence in research. We would like to c- gratulate the authors of these two papers.
Algebraic Geometry In Coding Theory And Cryptography
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Author : Harald Niederreiter
language : en
Publisher: Princeton University Press
Release Date : 2009-09-21
Algebraic Geometry In Coding Theory And Cryptography written by Harald Niederreiter and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-21 with Mathematics categories.
This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books
Elliptic Curves And Their Applications To Cryptography
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Author : Andreas Enge
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elliptic Curves And Their Applications To Cryptography written by Andreas Enge 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.
Since their invention in the late seventies, public key cryptosystems have become an indispensable asset in establishing private and secure electronic communication, and this need, given the tremendous growth of the Internet, is likely to continue growing. Elliptic curve cryptosystems represent the state of the art for such systems. Elliptic Curves and Their Applications to Cryptography: An Introduction provides a comprehensive and self-contained introduction to elliptic curves and how they are employed to secure public key cryptosystems. Even though the elegant mathematical theory underlying cryptosystems is considerably more involved than for other systems, this text requires the reader to have only an elementary knowledge of basic algebra. The text nevertheless leads to problems at the forefront of current research, featuring chapters on point counting algorithms and security issues. The Adopted unifying approach treats with equal care elliptic curves over fields of even characteristic, which are especially suited for hardware implementations, and curves over fields of odd characteristic, which have traditionally received more attention. Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses. It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying mathematics.