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.
Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional: It serves as an introduction to the more practical aspects of both conventional and public-key cryptography It is a valuable source of the latest techniques and algorithms for the serious practitioner It provides an integrated treatment of the field, while still presenting each major topic as a self-contained unit It provides a mathematical treatment to accompany practical discussions It contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussed Now in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.
The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches in mathematics. Inrecent years we have witnessed a resurgence of interest in finite fields, and this is partly due to important applications in coding theory and cryptography. The purpose of this book is to introduce the reader to some of these recent developments. It should be of interest to a wide range of students, researchers and practitioners in the disciplines of computer science, engineering and mathematics. We shall focus our attention on some specific recent developments in the theory and applications of finite fields. While the topics selected are treated in some depth, we have not attempted to be encyclopedic. Among the topics studied are different methods of representing the elements of a finite field (including normal bases and optimal normal bases), algorithms for factoring polynomials over finite fields, methods for constructing irreducible polynomials, the discrete logarithm problem and its implications to cryptography, the use of elliptic curves in constructing public key cryptosystems, and the uses of algebraic geometry in constructing good error-correcting codes. To limit the size of the volume we have been forced to omit some important applications of finite fields. Some of these missing applications are briefly mentioned in the Appendix along with some key references.
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.
Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional: It serves as an introduction to the more practical aspects of both conventional and public-key cryptography It is a valuable source of the latest techniques and algorithms for the serious practitioner It provides an integrated treatment of the field, while still presenting each major topic as a self-contained unit It provides a mathematical treatment to accompany practical discussions It contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussed Now in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.
It wasn't easy in those days for a woman to get her foot in the city room door. Bess made it because she understood one of the basic principles of the newspaper business--everyone has a story. You have only to discover it and tell it well. "She will tell you in this book about meeting interesting people. You will learn that there are few more interesting than Bess Scott herself."--William P. Hobby At the age of twenty-five, Bess Whitehead Scott became the first woman reporter for the city desk of the Houston Post. The year was 1915. The author's memoir of the first ninety-seven years of her life illustrates how determination, courage, hard work, and caring family and friends propelled her past enormous obstacles, including poverty and a hearing impairment. Born near Blanket, Texas, in 1890, she grew up on a small farm held together by her widowed mother and eight brothers and sisters. Scott graduated from Baylor University and taught school briefly before she persuaded the Post editors to give her a chance. Her success led to other jobs in the then-unnamed field of public relations. Then, even before the filming of the silent movie classic, Birth of a Nation, she went to the little film colony called Hollywood, to try her hand at writing "scenarios." Fame and fortune kept their distance from Bess Scott, but she did encounter many individuals whose fame, or infamy, whose friendship or failures made a deep impression on her. Clark Gable and Lyndon Johnson were her friends; her best friend, Lila Danforth, was always there during rough times when her marriage failed and she had to support her two small children by double moonlighting to supplement her meager earnings as a reporter. The opportunities and rights of women, the handicapped, and single, working mothers that are today taken for granted did not exist for Bess Whitehead Scott's mother or for her. Their talents and stamina in fighting rural and urban hardships exemplify a century of women's progress and highlight the roles played by the "interesting" people strung along the thread of their lives.
This book is a study on the life and mystical thought of George Matheson. In the closing decades of the nineteenth century, Matheson was a Church of Scotland minister at Innellan on the west coast of Scotland. Matheson was of Highland descent and blind from the age of eighteen. His spiritual journey included a distressing experience of atheism, the attraction of Hegelian idealism, and through the practice of silence and meditation on Scripture, he wrote of the Eternal through mystical union. Matheson has much to offer those interested in the inner life, not least Christians in the Presbyterian tradition.
The Bearlake Athapaskan-speaking Indians of Canada's Northwest Territories have valued industriousness, generosity, individual autonomy, and emotional restraint for many generations. They also highly esteem "control" in human thought and behavior. The latter value integrates the others in a coherent framework of moral responsibility that persists as a central feature of Bearlake culture. Rushforth here provides an ethnographic description and analysis of these beliefs and values, which considers their relationship to examples of Bearlake social behavior.
Written by two renowned researchers, this graduate level textbook provides a thorough grounding in the field of cryptography. This topic is central to the graduate level curriculum in mathematics and electrical engineering since finite fields play a central role in the theory and practice of error correcting codes and cryptography. The authors are planning to make this book as comprehensive as possible in coverage in that it includes both theory and the more practical side of the topic. Unlike many of the other books on this topic the authors do not require a sophisticated background in linear algebra.
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