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Efficient Algorithms for Elliptic Curve Cryptosystems using Endomorphisms

Efficient Algorithms for Elliptic Curve Cryptosystems using Endomorphisms
Author: Keisuke Hakuta
Publisher: Springer
Total Pages: 300
Release: 2016-03-08
Genre: Computers
ISBN: 9784431553472

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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.


Guide to Elliptic Curve Cryptography

Guide to Elliptic Curve Cryptography
Author: Darrel Hankerson
Publisher: Springer Science & Business Media
Total Pages: 328
Release: 2006-06-01
Genre: Computers
ISBN: 0387218467

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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 Public Key Cryptosystems

Elliptic Curve Public Key Cryptosystems
Author: Alfred J. Menezes
Publisher: Springer Science & Business Media
Total Pages: 139
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461531985

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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.


Advanced Communications and Multimedia Security

Advanced Communications and Multimedia Security
Author: Borka Jerman-Blazic
Publisher: Springer
Total Pages: 320
Release: 2002-08-31
Genre: Business & Economics
ISBN: 9781402072062

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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.


Advances in Cryptology — ASIACRYPT’98

Advances in Cryptology — ASIACRYPT’98
Author: Kazuo Ohta
Publisher: Springer
Total Pages: 447
Release: 2003-06-29
Genre: Computers
ISBN: 3540496491

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ASIACRYPT’98, the international conference covering all aspects of theory and application of cryptology and information security, is being held at Beijing Friendship Hotel from October 18 to 22. This is the fourth of the Asiacrypt conferences. ASIACRYPT’98 is sponsored by the State Key Laboratory of Information Security (SKLOIS), University of Science and Technology of China (USTC), and the Asiacrypt Steering Committee (ASC), in cooperation with the International Association for Cryptology Research (IACR). The 16-member Program Committee organized the scientific program and considered 118 submissions. Of these, 32 were accepted for presentation. The authors’ affiliations of the 118 submissions and the 32 accepted papers range over 18 and 13 countries or regions, respectively. The submitted version of each paper was sent to all members of the Program Committee and was extensively examined by at least three committee members and/or outside experts. The review process was rigorously blinded and the anonymity of each submission are maintained until the selection was completed. We followed the traditional policy that each member of the Program Committee could be an author of at most one accepted paper. These proceedings contain the revised versions of the 32 contributed talks as well as a short note written by one invited speaker. Comments from the Program Committee were taken into account in the revisions. However, the authors (not the committee) bear full responsibility for the contents of their papers.


Advances in Cryptology - CRYPTO '90

Advances in Cryptology - CRYPTO '90
Author: Alfred J. Menezes
Publisher: Springer
Total Pages: 630
Release: 2003-06-30
Genre: Computers
ISBN: 3540384243

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Crypto '90 marked the tenth anniversary of the Crypto conferences held at the University of California at Santa Barbara. The conference was held from August 11 to August 15, 1990 and was sponsored by the International Association for Cryptologic Research, in cooperation with the IEEE Computer Society Technical Committee on Security and Privacy and the Department of Computer Science of the University of California at Santa Barbara. 227 participants from twenty countries around the world. Crypto '90 attracted Roughly 35% of attendees were from academia, 45% from industry and 20% from government. The program was intended to provide a balance between the purely theoretical and the purely practical aspects of cryptography to meet the needs and diversified interests of these various groups. The overall organization of the conference was superbly handled by the general chairperson Sherry McMahan. All of the outstanding features of Crypto, which we have come to expect over the years, were again present and, in addition to all of this, she did a magnificent job in the preparation of the book of abstracts. This is a crucial part of the program and we owe her a great deal of thanks.