Implementing Elliptic Curve Cryptography
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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.
Implementing Elliptic Curve Cryptography
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Author : Michael Rosing
language : en
Publisher: Manning Publications
Release Date : 1999
Implementing Elliptic Curve Cryptography written by Michael Rosing and has been published by Manning Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computer security categories.
Implementing Elliptic Curve Cryptography proceeds step-by- step to explain basic number theory, polynomial mathematics, normal basis mathematics and elliptic curve mathematics. With these in place, applications to cryptography are introduced. The book is filled with C code to illustrate how mathematics is put into a computer, and the last several chapters show how to implement several cryptographic protocols. The most important is a description of P1363, an IEEE draft standard for public key cryptography. The main purpose of Implementing Elliptic Curve Cryptography is to help "crypto engineers" implement functioning, state-of-the- art cryptographic algorithms in the minimum time.
Advanced Communications And Multimedia Security
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Author : Borka Jerman-Blazic
language : en
Publisher: Springer
Release Date : 2002-08-31
Advanced Communications And Multimedia Security written by Borka Jerman-Blazic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-31 with Business & Economics categories.
Advanced Communications and Multimedia Security presents a state-of-the-art review of current perspectives as well as the latest developments in the area of communications and multimedia security. It examines requirements, issues and solutions pertinent to securing information networks, and identifies future security-related research challenges. A wide spectrum of topics is discussed, including: -Applied cryptography; -Biometry; -Communication systems security; -Applications security; Mobile security; -Distributed systems security; -Digital watermarking and digital signatures. This volume comprises the proceedings of the sixth Joint Working Conference on Communications and Multimedia Security (CMS'02), which was sponsored by the International Federation for Information Processing (IFIP) and held in September 2002 in Portoroz, Slovenia. It constitutes essential reading for information security specialists, researchers and professionals working in the area of computer science and communication systems.
Efficient Implementation Of Elliptic Curve Cryptography
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Author : Bijan Ansari
language : en
Publisher:
Release Date : 2004
Efficient Implementation Of Elliptic Curve Cryptography written by Bijan Ansari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Efficient Algorithms For Implementing The Elliptic Curve Cryptosystems
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Author : Jianli David Zhu
language : en
Publisher:
Release Date : 2000
Efficient Algorithms For Implementing The Elliptic Curve Cryptosystems written by Jianli David Zhu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computer networks categories.
Elliptic Curve Cryptography For Developers
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Author : Michael Rosing
language : en
Publisher: Manning
Release Date : 2024-05-28
Elliptic Curve Cryptography For Developers written by Michael Rosing and has been published by Manning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-28 with Computers categories.
Learn how to implement smaller, more secure public key protocols with this accessible guide to Elliptic Curve Cryptography. Elliptic Curve Cryptography for Developers introduces a powerful alternative to the prime number-based RSA encryption standard based on the mathematics of elliptic curves. This book empowers anyone who knows basic calculus to implement state-of-the-art cryptographic protocols that are smaller and more secure than RSA-based systems. It gradually introduces the concepts and subroutines you’ll need to master with diagrams, flow charts, and accessible language. 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 Elliptic Curve Cryptography (ECC) is the powerful security protocol used for everything from credit card transitions to the blockchain. The results are amazing; ECC delivers zero knowledge proofs and aggregated multi-signatures with smaller key sizes than the prime number-based RSA standard. This reader-friendly book guides you step-by-step until you’re ready to write embedded systems code with advanced mathematical algorithms. About the book Elliptic Curve Cryptography for Developers teaches you how to turn the advanced math of ECCs into code for your cryptographic applications. Author Mike Rosing expertly helps you to rise to the ECC challenge, dispensing with the deep math and focusing on the minimum theory you need to get the job done. Each chapter covers new mathematical concepts, all clearly illustrated with graphics, example code, and exercises to build your understanding of the complex ideas. Finally, you’ll put all your ideas into action by building two hands-on blockchain software projects. By the time you’re done reading, you’ll know the basics and be ready to take the step to more advanced capabilities. About the reader For readers with some knowledge of mathematics, such as from high school calculus or an undergraduate engineering degree. About the author Mike Rosing’s career spans high energy physics to telephone switch engineering. Working at Argonne National Lab as a high-energy physicist, he helped construct a Wakefield particle accelerator. For the past 20 years he worked in several companies on various projects, including developing vision devices for the blind, radar for measuring heart rate in cattle, and modeling high speed signaling on computer boards. He holds a patent and is author on many technical publications.
Efficient Implementation Of Elliptic Curve Cryptography In Reconfigurable Hardware
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Author : E-Jen Lien
language : en
Publisher:
Release Date : 2012
Efficient Implementation Of Elliptic Curve Cryptography In Reconfigurable Hardware written by E-Jen Lien and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Elliptic curve cryptography (ECC) has emerged as a promising public-key cryptography approach for data protection. It is based on the algebraic structure of elliptic curves over finite fields. Although ECC provides high level of information security, it involves computationally intensive encryption/decryption process, which negatively affects its performance and energy-efficiency. Software implementation of ECC is often not amenable for resource-constrained embedded applications. Alternatively, hardware implementation of ECC has been investigated - in both application specific integrated circuit(ASIC) and field programmable gate array (FPGA) platforms - in order to achieve desired performance and energy efficiency. Hardware reconfigurable computing platforms such as FPGAs are particularly attractive platform for hardware acceleration of ECC for diverse applications, since they involve significantly less design cost and time than ASIC. In this work, we investigate efficient implementation of ECC in reconfigurable hardware platforms. In particular, we focus on implementing different ECC encryption algorithms in FPGA and a promising memory array based reconfigurable computing framework, referred to as MBC. MBC leverages the benefit of nanoscale memory, namely, high bandwidth, large density and small wire delay to drastically reduce the overhead of programmable interconnects. We evaluate the performance and energy efficiency of these platforms and compare those with a purely software implementation. We use the pseudo-random curve in the prime field and Koblitz curve in the binary field to do the ECC scalar multiplication operation. We perform functional validation with data that is recommended by NIST. Simulation results show that in general, MBC provides better energy efficiency than FPGA while FPGA provides better latency.
Advances In Elliptic Curve Cryptography
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Author : Ian F. Blake
language : en
Publisher: Cambridge University Press
Release Date : 2005-04-25
Advances In Elliptic Curve 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 2005-04-25 with Computers categories.
This second volume addresses tremendous progress in elliptic curve cryptography since the first volume.
Algorithms For Implementation Of Elliptic Curve Cryptography
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Author : Markus M. Deisenberger
language : en
Publisher:
Release Date : 2001
Algorithms For Implementation Of Elliptic Curve Cryptography written by Markus M. Deisenberger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Efficient Algorithms For Elliptic Curve Cryptosystems Using Endomorphisms
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Author : Keisuke Hakuta
language : en
Publisher: Springer
Release Date : 2016-03-08
Efficient Algorithms For Elliptic Curve Cryptosystems Using Endomorphisms written by Keisuke Hakuta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-08 with Computers categories.
This book focuses on fast algorithms for computing scalar multiplication (or point multiplication) on certain types of elliptic curves, as scalar multiplication is the most time-consuming operation in elliptic curve cryptography (ECC). More precisely, the text provides readers with both a theoretical perspective on the use of low Hamming weight Frobenius expansion for scalar multiplication and a practical perspective on the implementation of scalar multiplication using the above technique. ECC has a wide range of applications, including public-key encryption and digital signatures. However, along with the use of ECC in low-end devices, the goal is to improve the efficiency of the operation. The results of this book can be used for the efficient implementation of various ECC-based applications. The book will be of interest to all readers who have at least a basic grasp of the theory of elliptic curves, or are familiar with the use of cryptography. After reading this book, readers will understand both the theory and implementation of fast scalar multiplication algorithms.