Elliptic Curve Cryptography For Developers

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Elliptic Curve Cryptography For Developers

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Author : Michael Rosing
language : en
Publisher: Simon and Schuster
Release Date : 2025-03-25

Elliptic Curve Cryptography For Developers written by Michael Rosing and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-25 with Computers categories.

Make your public key protocols smaller and more secure with this accessible guide to Elliptic Curve Cryptography. Elliptic Curve Cryptography for Developers introduces the mathematics of elliptic curves—a powerful alternative to the prime number-based RSA encryption standard. You’ll learn to deliver zero-knowledge proofs and aggregated multi-signatures that are not even possible with RSA mathematics. All you need is the basics of calculus you learned in high school. Elliptic Curve Cryptography for Developers includes: • Clear, well-illustrated introductions to key ECC concepts • Implementing efficient digital signature algorithms • State of the art zero-knowledge proofs • Blockchain applications with ECC-backed security The book gradually introduces the concepts and subroutines you’ll need to master with diagrams, flow charts, and accessible language. Each chapter builds on what you’ve already learned, with step-by-step guidance until you’re ready to write embedded systems code with advanced mathematical algorithms. About the technology The Elliptic Curve Cryptography (ECC) protocol secures everything from credit card transactions to the blockchain. With a little C code, high school calculus, and the techniques in this book, you can implement ECC cryptographic protocols that are smaller and more secure than the RSA-based systems in common use today. About the book Elliptic Curve Cryptography for Developers teaches you how ECC protocols work and how to implement them seamlessly in C code. Unlike academic cryptography books, this practical guide sticks to the minimum math and theory you need to get the job done. Author Mike Rosing illustrates each concept with clear graphics, detailed code, and hands-on exercises. As you go, you’ll practice what you learn by building two encryption systems for a blockchain application. What's inside • Efficient digital signature algorithms • Zero-knowledge proofs • ECC security for blockchain applications About the reader Readers need to understand basic calculus. Examples in C. About the author Michael Rosing’s career as a scientist, hardware engineer, and software developer includes high-energy physics, telephone switch engineering, and developing vision devices for the blind. The technical editor on this book was Mark Bissen. Table of Contents 1 Pairings over elliptic curves in cryptography Part 1 2 Description of finite field mathematics 3 Explaining the core of elliptic curve mathematics 4 Key exchange using elliptic curves 5 Prime field elliptic curve digital signatures explained 6 Finding good cryptographic elliptic curves Part 2 7 Description of finite field polynomial math 8 Multiplication of polynomials explained 9 Computing powers of polynomials 10 Description of polynomial division using Euclid’s algorithm 11 Creating irreducible polynomials 12 Taking square roots of polynomials Part 3 13 Finite field extension curves described 14 Finding low embedding degree elliptic curves 15 General rules of elliptic curve pairing explained 16 Weil pairing defined 17 Tate pairing defined 18 Exploring BLS multi-signatures 19 Proving knowledge and keeping secrets: Zero knowledge using pairings Appendix A Code and tools Appendix B Hilbert class polynomials Appendix C Variables list

Guide To Elliptic Curve Cryptography

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Author : Darrel Hankerson
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-01

Guide To Elliptic Curve Cryptography written by Darrel Hankerson 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 2006-06-01 with Computers categories.

After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application. Features & Benefits: * Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems * Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology * Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic * Distills complex mathematics and algorithms for easy understanding * Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software tools This comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.

Elliptic Curve Cryptography For Developers

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Author : Michael Rosing
language : en
Publisher: Simon and Schuster
Release Date : 2024-12-03

Elliptic Curve Cryptography For Developers written by Michael Rosing and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with Computers categories.

Elliptic Curve Cryptography (ECC) is the powerful security protocol used for everything from credit card transitions to the blockchain. This reader-friendly book guides you step-by-step until you're ready to write embedded systems code with advanced mathematical algorithms.

Essential Cryptography For Javascript Developers

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Author : Alessandro Segala
language : en
Publisher: Packt Publishing
Release Date : 2022-02-28

Essential Cryptography For Javascript Developers written by Alessandro Segala and has been published by Packt Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-28 with Computer security categories.

Discover how to take advantage of common cryptographic operations to build safer apps that respect users' privacy with the help of examples in JavaScript for Node.js and browsers Key Features: Understand how to implement common cryptographic operations in your code with practical examples Learn about picking modern safe algorithms, which libraries you should rely on, and how to use them correctly Build modern and secure applications that respect your users' privacy with cryptography Book Description: If you're a software developer, this book will give you an introduction to cryptography, helping you understand how to make the most of it for your applications. The book contains extensive code samples in JavaScript, both for Node.js and for frontend apps running in a web browser, although the core concepts can be used by developers working with any programming language and framework. With a purely hands-on approach that is focused on sharing actionable knowledge, you'll learn about the common categories of cryptographic operations that you can leverage in all apps you're developing, including hashing, encryption with symmetric, asymmetric and hybrid ciphers, and digital signatures. You'll learn when to use these operations and how to choose and implement the most popular algorithms to perform them, including SHA-2, Argon2, AES, ChaCha20-Poly1305, RSA, and Elliptic Curve Cryptography. Later, you'll learn how to deal with password and key management. All code in this book is written in JavaScript and designed to run in Node.js or as part of frontend apps for web browsers. By the end of this book, you'll be able to build solutions that leverage cryptography to protect user privacy, offer better security against an expanding and more complex threat landscape, help meet data protection requirements, and unlock new opportunities. What You Will Learn: Write JavaScript code that uses cryptography running within a Node.js environment for the server-side or in frontend applications for web browsers Use modern, safe hashing functions for calculating digests and key derivation, including SHA-2 and Argon2 Practice encrypting messages and files with a symmetric key using AES and ChaCha20-Poly1305 Use asymmetric and hybrid encryption, leveraging RSA and Elliptic Curve Cryptography with ECDH and ECIES Calculate and verify digital signatures using RSA and ECDSA/EdDSA Manage passwords and encryption keys safely Who this book is for: This cryptography book is an introductory guide for software developers who don't necessarily have a background in cryptography but are interested in learning how to integrate it in their solutions, correctly and safely. You'll need to have at least intermediate-level knowledge of building apps with JavaScript and familiarity with Node.js to make the most of this book.

Elliptic Curve Public Key Cryptosystems

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Author : Alfred J. Menezes
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-07-31

Elliptic Curve Public Key Cryptosystems written by Alfred J. Menezes 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 1993-07-31 with Computers categories.

Elliptic curves have been intensively studied in algebraic geometry and number theory. In recent years they have been used in devising efficient algorithms for factoring integers and primality proving, and in the construction of public key cryptosystems. Elliptic Curve Public Key Cryptosystems provides an up-to-date and self-contained treatment of elliptic curve-based public key cryptology. Elliptic curve cryptosystems potentially provide equivalent security to the existing public key schemes, but with shorter key lengths. Having short key lengths means smaller bandwidth and memory requirements and can be a crucial factor in some applications, for example the design of smart card systems. The book examines various issues which arise in the secure and efficient implementation of elliptic curve systems. Elliptic Curve Public Key Cryptosystems is a valuable reference resource for researchers in academia, government and industry who are concerned with issues of data security. Because of the comprehensive treatment, the book is also suitable for use as a text for advanced courses on the subject.

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.

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.

Practical Cryptography

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Author : Saiful Azad
language : en
Publisher: CRC Press
Release Date : 2014-11-17

Practical Cryptography written by Saiful Azad and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-17 with Computers categories.

Cryptography, the science of encoding and decoding information, allows people to do online banking, online trading, and make online purchases, without worrying that their personal information is being compromised. The dramatic increase of information transmitted electronically has led to an increased reliance on cryptography. This book discusses th

Cryptography For Developers

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Author : Tom St Denis
language : en
Publisher: Elsevier
Release Date : 2006-12-01

Cryptography For Developers written by Tom St Denis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-01 with Computers categories.

The only guide for software developers who must learn and implement cryptography safely and cost effectively.Cryptography for Developers begins with a chapter that introduces the subject of cryptography to the reader. The second chapter discusses how to implement large integer arithmetic as required by RSA and ECC public key algorithms The subsequent chapters discuss the implementation of symmetric ciphers, one-way hashes, message authentication codes, combined authentication and encryption modes, public key cryptography and finally portable coding practices. Each chapter includes in-depth discussion on memory/size/speed performance trade-offs as well as what cryptographic problems are solved with the specific topics at hand. - The author is the developer of the industry standard cryptographic suite of tools called LibTom - A regular expert speaker at industry conferences and events on this development

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