Elliptic Curve Digital Signature Algorithm In Theory And Practice


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Elliptic Curve Digital Signature Algorithm in Theory and Practice


Elliptic Curve Digital Signature Algorithm in Theory and Practice

Author: Richard Johnson

language: en

Publisher: HiTeX Press

Release Date: 2025-06-16


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"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.

Elliptic Curves


Elliptic Curves

Author: Lawrence C. Washington

language: en

Publisher: CRC Press

Release Date: 2008-04-03


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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

Public-key Cryptography


Public-key Cryptography

Author: Abhijit Das

language: en

Publisher: Pearson Education India

Release Date: 2009


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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.