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Author: Michael Rosing
Publisher: Manning Publications
ISBN: 9781884777691
Category : Computer security
Languages : en
Pages : 0
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Book Description
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.
Author: Michael Rosing
Publisher: Manning Publications
ISBN: 9781884777691
Category : Computer security
Languages : en
Pages : 0
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Book Description
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.
Author: Darrel Hankerson
Publisher: Springer Science & Business Media
ISBN: 0387218467
Category : Computers
Languages : en
Pages : 328
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Book Description
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: Borka Jerman-Blazic
Publisher: Springer
ISBN: 9781402072062
Category : Business & Economics
Languages : en
Pages : 320
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Book Description
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
ISBN: 9780521653749
Category : Computers
Languages : en
Pages : 228
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Book Description
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.
Author: Lawrence C. Washington
Publisher: CRC Press
ISBN: 1420071475
Category : Computers
Languages : en
Pages : 533
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Book Description
Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application
Author: Thomas R. Shemanske
Publisher: American Mathematical Soc.
ISBN: 1470435829
Category : Computers
Languages : en
Pages : 266
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Book Description
This book offers the beginning undergraduate student some of the vista of modern mathematics by developing and presenting the tools needed to gain an understanding of the arithmetic of elliptic curves over finite fields and their applications to modern cryptography. This gradual introduction also makes a significant effort to teach students how to produce or discover a proof by presenting mathematics as an exploration, and at the same time, it provides the necessary mathematical underpinnings to investigate the practical and implementation side of elliptic curve cryptography (ECC). Elements of abstract algebra, number theory, and affine and projective geometry are introduced and developed, and their interplay is exploited. Algebra and geometry combine to characterize congruent numbers via rational points on the unit circle, and group law for the set of points on an elliptic curve arises from geometric intuition provided by Bézout's theorem as well as the construction of projective space. The structure of the unit group of the integers modulo a prime explains RSA encryption, Pollard's method of factorization, Diffie–Hellman key exchange, and ElGamal encryption, while the group of points of an elliptic curve over a finite field motivates Lenstra's elliptic curve factorization method and ECC. The only real prerequisite for this book is a course on one-variable calculus; other necessary mathematical topics are introduced on-the-fly. Numerous exercises further guide the exploration.
Author: Tom St Denis
Publisher: Elsevier
ISBN: 0080503454
Category : Computers
Languages : en
Pages : 449
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Book Description
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: Cetin K. Koc
Publisher: Springer Science & Business Media
ISBN: 354041455X
Category : Computers
Languages : en
Pages : 366
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Book Description
This book constitutes the thoroughly refereed post-proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2000, held in Worcester, MA, USA in August 2000. The 25 revised full papers presented together with two invited contributions were carefully reviewed and selected from 51 submissions. The papers are organized in topical sections on implementation of elliptic curve cryptosystems, power and timing analysis attacks, hardware implementation of block ciphers, hardware architectures, power analysis attacks, arithmetic architectures, physical security and cryptanalysis, and new schemes and algorithms.
Author: Avner Ash
Publisher: Princeton University Press
ISBN: 0691151199
Category : Mathematics
Languages : en
Pages : 277
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Book Description
Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.
Author: Marc Joye
Publisher: Springer
ISBN: 3540286322
Category : Computers
Languages : en
Pages : 466
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Book Description
These are the proceedings of CHES 2004, the 6th Workshop on Cryptographic Hardware and Embedded Systems. For the first time, the CHES Workshop was sponsored by the International Association for Cryptologic Research (IACR). This year, the number of submissions reached a new record. One hundred and twenty-five papers were submitted, of which 32 were selected for presentation. Each submitted paper was reviewed by at least 3 members of the program committee. We are very grateful to the program committee for their hard and efficient work in assembling the program. We are also grateful to the 108 external referees who helped in the review process in their area of expertise. In addition to the submitted contributions, the program included three - invited talks, by Neil Gershenfeld (Center for Bits and Atoms, MIT) about "Physical Information Security", by Isaac Chuang (Medialab, MIT) about "Quantum Cryptography", and by Paul Kocher (Cryptography Research) about "Phy- cal Attacks". It also included a rump session, chaired by Christof Paar, which featured informal talks on recent results. As in the previous years, the workshop focused on all aspects of cryptographic hardware and embedded system security. We sincerely hope that the CHES Workshop series will remain a premium forum for intellectual exchange in this area
