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Elliptic Curves in Cryptography
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.
Advances in Elliptic Curve Cryptography
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.
Intelligent Paradigms for Healthcare Enterprises
This compendium brings together leading researchers in the fields of Intelligent Systems and healthcare aiming at medical engineers, healthcare managers and computer scientists worldwide. This book is an overview of intelligent paradigms and strategic investments that might payoff for the healthcare enterprise. Specifically, the reader will get ideas for efficiency enhancements for improving effectiveness and quality of care and for increasing patient safety. "Advanced Intelligent Paradigms in Healthcare" straddles technologic topics from DNA processing and automating medical second opinions in the lab, to telemedicine and chat spaces for rural patient outreach, among many others. In terms of management concerns, this book also explores systems approaches such as automated clinical guidelines, institutional workflow management, and best practices and lessons learned with actual applications.
Introduction to Coding Theory
This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.
Reed-Solomon Codes and Their Applications
Electrical Engineering/Communications/Information Theory "The Berlekamp article alone will make this book worth having." --David Forney, Vice President, Motorola Codex Reed-Solomon Codes and Their Applications Edited by Stephen B. Wicker, Georgia Institute of Technology and Vijay K. Bhargava, University of Victoria On the Voyager spacecraft, they were responsible for sending clear pictures of the planets back to earth. They have also played a key role in the digital audio revolution. They are Reed-Solomon error codes: the extremely powerful codes that provide critical error control for many different types of digital communications systems. This outstanding collection of thirteen original ar...
Handbook of Finite Fields
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and
Quantum Computational Number Theory
This book provides a comprehensive introduction to advanced topics in the computational and algorithmic aspects of number theory, focusing on applications in cryptography. Readers will learn to develop fast algorithms, including quantum algorithms, to solve various classic and modern number theoretic problems. Key problems include prime number generation, primality testing, integer factorization, discrete logarithms, elliptic curve arithmetic, conjecture and numerical verification. The author discusses quantum algorithms for solving the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP), and the Elliptic Curve Discrete Logarithm Problem (ECDLP) and for attacking IFP, D...
Topics in Computational Number Theory Inspired by Peter L. Montgomery
This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography.
Nanofabrication
Many of the devices and systems used in modern industry are becoming progressively smaller and have reached the nanoscale domain. Nanofabrication aims at building nanoscale structures, which can act as components, devices, or systems, in large quantities at potentially low cost. Nanofabrication is vital to all nanotechnology fields, especially for the realization of nanotechnology that involves the traditional areas across engineering and science. This is the first book solely dedicated to the manufacturing technology in nanoscale structures, devices, and systems and is designed to satisfy the growing demands of researchers, professionals, and graduate students.Both conventional and non-conventional fabrication technologies are introduced with emphasis on multidisciplinary principles, methodologies, and practical applications. While conventional technologies consider the emerging techniques developed for next generation lithography, non-conventional techniques include scanning probe microscopy lithography, self-assembly, and imprint lithography, as well as techniques specifically developed for making carbon tubes and molecular circuits and devices.
Elliptic Curves in Cryptography
Elliptic curve cryptography is a major challenger to the dominant RSA/DSA systems, with increased speed, less memory required and smaller key sizes. This book summarises knowledge built up within Hewlett Packard over a number of years.
