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| Author | : Dan Beauregard |
| Publisher | : |
| Total Pages | : 186 |
| Release | : 1996 |
| Genre | : Cryptography |
| ISBN | : |
| Author | : Darrel Hankerson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 328 |
| Release | : 2006-06-01 |
| Genre | : Computers |
| ISBN | : 0387218467 |
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.
| Author | : Alfred J. Menezes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 139 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461531985 |
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.
| Author | : Jianli David Zhu |
| Publisher | : |
| Total Pages | : 142 |
| Release | : 2000 |
| Genre | : Computer networks |
| ISBN | : |
| Author | : Borka Jerman-Blazic |
| Publisher | : Springer |
| Total Pages | : 320 |
| Release | : 2002-08-31 |
| Genre | : Business & Economics |
| ISBN | : 9781402072062 |
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.
| Author | : Ian F. Blake |
| Publisher | : Cambridge University Press |
| Total Pages | : 308 |
| Release | : 2005-04-25 |
| Genre | : Mathematics |
| ISBN | : 9781139441223 |
Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.
| Author | : Alfred J. Menezes |
| Publisher | : Springer |
| Total Pages | : 630 |
| Release | : 2003-06-30 |
| Genre | : Computers |
| ISBN | : 3540384243 |
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.
| Author | : Tom St Denis |
| Publisher | : Elsevier |
| Total Pages | : 449 |
| Release | : 2006-12-01 |
| Genre | : Computers |
| ISBN | : 0080503454 |
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
| Author | : Ebrahim Abdulrahman Hasan Abdulrahman |
| Publisher | : |
| Total Pages | : |
| Release | : 2013 |
| Genre | : |
| ISBN | : |
The technology of elliptic curve cryptography is now an important branch in public-key based crypto-system. Cryptographic mechanisms based on elliptic curves depend on the arithmetic of points on the curve. The most important arithmetic is multiplying a point on the curve by an integer. This operation is known as elliptic curve scalar (or point) multiplication operation. A cryptographic device is supposed to perform this operation efficiently and securely. The elliptic curve scalar multiplication operation is performed by combining the elliptic curve point routines that are defined in terms of the underlying finite field arithmetic operations. This thesis focuses on hardware architecture designs of elliptic curve operations. In the first part, we aim at finding new architectures to implement the finite field arithmetic multiplication operation more efficiently. In this regard, we propose novel schemes for the serial-out bit-level (SOBL) arithmetic multiplication operation in the polynomial basis over F_2m̂. We show that the smallest SOBL scheme presented here can provide about 26-30\% reduction in area-complexity cost and about 22-24\% reduction in power consumptions for F_2£̂ compared to the current state-of-the-art bit-level multiplier schemes. Then, we employ the proposed SOBL schemes to present new hybrid-double multiplication architectures that perform two multiplications with latency comparable to the latency of a single multiplication. Then, in the second part of this thesis, we investigate the different algorithms for the implementation of elliptic curve scalar multiplication operation. We focus our interest in three aspects, namely, the finite field arithmetic cost, the critical path delay, and the protection strength from side-channel attacks (SCAs) based on simple power analysis. In this regard, we propose a novel scheme for the scalar multiplication operation that is based on processing three bits of the scalar in the exact same sequence of five point arithmetic operations. We analyse the security of our scheme and show that its security holds against both SCAs and safe-error fault attacks. In addition, we show how the properties of the proposed elliptic curve scalar multiplication scheme yields an efficient hardware design for the implementation of a single scalar multiplication on a prime extended twisted Edwards curve incorporating 8 parallel multiplication operations. Our comparison results show that the proposed hardware architecture for the twisted Edwards curve model implemented using the proposed scalar multiplication scheme is the fastest secure SCA protected scalar multiplication scheme over prime field reported in the literature.
| Author | : Neal Koblitz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 175 |
| Release | : 2013-03-09 |
| Genre | : Computers |
| ISBN | : 1475768567 |
Towards a Quarter-Century of Public Key Cryptography brings together in one place important contributions and up-to-date research results in this fast moving area. Towards a Quarter-Century of Public Key Cryptography serves as an excellent reference, providing insight into some of the most challenging research issues in the field.
