Handbook Of Elliptic And Hyperelliptic Curve Cryptography

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Handbook of Elliptic and Hyperelliptic Curve Cryptography

Author : Henri Cohen
Publisher : CRC Press
ISBN 13 : 1420034987
Total Pages : 842 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Elliptic and Hyperelliptic Curve Cryptography by : Henri Cohen

Download or read book Handbook of Elliptic and Hyperelliptic Curve Cryptography written by Henri Cohen and published by CRC Press. This book was released on 2005-07-19 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The main reason is that no subexponential algorithm for computing discrete logarithms on small genus curves is currently available, except in very special cases. Therefore curve-based cryptosystems require much smaller key sizes than RSA to attain the same security level. This makes them particularly attractive for implementations on memory-restricted devices like smart cards and in high-security applications. The Handbook of Elliptic and Hyperelliptic Curve Cryptography introduces the theory and algorithms involved in curve-based cryptography. After a very detailed exposition of the mathematical background, it provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides the algorithms in an explicit manner. It also surveys generic methods to compute discrete logarithms and details index calculus methods for hyperelliptic curves. For some special curves the discrete logarithm problem can be transferred to an easier one; the consequences are explained and suggestions for good choices are given. The authors present applications to protocols for discrete-logarithm-based systems (including bilinear structures) and explain the use of elliptic and hyperelliptic curves in factorization and primality proving. Two chapters explore their design and efficient implementations in smart cards. Practical and theoretical aspects of side-channel attacks and countermeasures and a chapter devoted to (pseudo-)random number generation round off the exposition. The broad coverage of all- important areas makes this book a complete handbook of elliptic and hyperelliptic curve cryptography and an invaluable reference to anyone interested in this exciting field.

Handbook of Elliptic and Hyperelliptic Curve Cryptography

Author :
Publisher :
ISBN 13 : 9780367801625
Total Pages : 808 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Handbook of Elliptic and Hyperelliptic Curve Cryptography by :

Download or read book Handbook of Elliptic and Hyperelliptic Curve Cryptography written by and published by . This book was released on 2006 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The main reason is that no subexponential algorithm for computing discrete logarithms on small genus curves is currently available, except in very special cases. Therefore curve-based cryptosystems require much smaller key sizes than RSA to attain the same security level. This makes them particularly attractive for implementations on memory-restricted devices like smart cards and in high-security applications. The Handbook of Elliptic and Hyperelliptic Curve Cryptography introduces the theory and algorithms involved in curve-based cryptography. After a very detailed exposition of the mathematical background, it provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides the algorithms in an explicit manner. It also surveys generic methods to compute discrete logarithms and details index calculus methods for hyperelliptic curves. For some special curves the discrete logarithm problem can be transferred to an easier one; the consequences are explained and suggestions for good choices are given. The authors present applications to protocols for discrete-logarithm-based systems (including bilinear structures) and explain the use of elliptic and hyperelliptic curves in factorization and primality proving. Two chapters explore their design and efficient implementations in smart cards. Practical and theoretical aspects of side-channel attacks and countermeasures and a chapter devoted to (pseudo-)random number generation round off the exposition. The broad coverage of all- important areas makes this book a complete handbook of elliptic and hyperelliptic curve cryptography and an invaluable reference to anyone interested in this exciting field.

Handbook of Elliptic and Hyperelliptic Curve Cryptography, Second Edition

Author : Henri Cohen
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781439840009
Total Pages : 1024 pages
Book Rating : 4.8/5 (4 download)

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Book Synopsis Handbook of Elliptic and Hyperelliptic Curve Cryptography, Second Edition by : Henri Cohen

Download or read book Handbook of Elliptic and Hyperelliptic Curve Cryptography, Second Edition written by Henri Cohen and published by Chapman and Hall/CRC. This book was released on 2016-03-26 with total page 1024 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides a complete reference on elliptic and hyperelliptic curve cryptography. Addressing every aspect of the field, the book contains all of the background necessary to understand the theory and security of cryptosystems as well as the algorithms that can be used to implement them. This second edition features the latest developments on pairing-based cryptography, new ideas on index-calculus attacks, improved algorithms for genus-2 arithmetic, and a number of other new additions. It also includes many new applications and provides better explanations on some of the more mathematical presentations.

Elliptic Curves

Author : Lawrence C. Washington
Publisher : CRC Press
ISBN 13 : 1420071475
Total Pages : 533 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Elliptic Curves by : Lawrence C. Washington

Download or read book Elliptic Curves written by Lawrence C. Washington and published by CRC Press. This book was released on 2008-04-03 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Guide to Elliptic Curve Cryptography

Author : Darrel Hankerson
Publisher : Springer Science & Business Media
ISBN 13 : 0387218467
Total Pages : 312 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Guide to Elliptic Curve Cryptography by : Darrel Hankerson

Download or read book Guide to Elliptic Curve Cryptography written by Darrel Hankerson and published by Springer Science & Business Media. This book was released on 2006-06-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Cryptography and Elliptic Curves: A Beginner’s Guide

Author : Thomas R. Shemanske
Publisher : American Mathematical Soc.
ISBN 13 : 1470435829
Total Pages : 252 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Modern Cryptography and Elliptic Curves: A Beginner’s Guide by : Thomas R. Shemanske

Download or read book Modern Cryptography and Elliptic Curves: A Beginner’s Guide written by Thomas R. Shemanske and published by American Mathematical Soc.. This book was released on 2017-07-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Financial Cryptography and Security

Author : Burton Rosenberg
Publisher : CRC Press
ISBN 13 : 1420059823
Total Pages : 631 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Financial Cryptography and Security by : Burton Rosenberg

Download or read book Handbook of Financial Cryptography and Security written by Burton Rosenberg and published by CRC Press. This book was released on 2010-08-02 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Financial Cryptography and Security elucidates the theory and techniques of cryptography and illustrates how to establish and maintain security under the framework of financial cryptography. It applies various cryptographic techniques to auctions, electronic voting, micropayment systems, digital rights, financial portfolios, routing

Algorithmic Cryptanalysis

Author : Antoine Joux
Publisher : CRC Press
ISBN 13 : 1420070037
Total Pages : 516 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Algorithmic Cryptanalysis by : Antoine Joux

Download or read book Algorithmic Cryptanalysis written by Antoine Joux and published by CRC Press. This book was released on 2009-06-15 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrating the power of algorithms, Algorithmic Cryptanalysis describes algorithmic methods with cryptographically relevant examples. Focusing on both private- and public-key cryptographic algorithms, it presents each algorithm either as a textual description, in pseudo-code, or in a C code program.Divided into three parts, the book begins with a

Pairing-Based Cryptography - Pairing 2009

Author : Hovav Shacham
Publisher : Springer Science & Business Media
ISBN 13 : 3642032974
Total Pages : 275 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Pairing-Based Cryptography - Pairing 2009 by : Hovav Shacham

Download or read book Pairing-Based Cryptography - Pairing 2009 written by Hovav Shacham and published by Springer Science & Business Media. This book was released on 2009-07-20 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Pairing-Based Cryptography, Pairing 2009, held in Palo Alto, CA, USA, in August 2009. The 16 full papers presented were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections on signature security, curves, pairing computation, non-interactive zero-knowledge systems and applications, group signatures, and protocols.

An Introduction to Cryptography

Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 1420011243
Total Pages : 413 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Cryptography by : Richard A. Mollin

Download or read book An Introduction to Cryptography written by Richard A. Mollin and published by CRC Press. This book was released on 2006-09-18 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field. With numerous additions and restructured material, this edition

Functional Encryption

Author : Khairol Amali Bin Ahmad
Publisher : Springer Nature
ISBN 13 : 3030608905
Total Pages : 311 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Functional Encryption by : Khairol Amali Bin Ahmad

Download or read book Functional Encryption written by Khairol Amali Bin Ahmad and published by Springer Nature. This book was released on 2021-06-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides awareness of methods used for functional encryption in the academic and professional communities. The book covers functional encryption algorithms and its modern applications in developing secure systems via entity authentication, message authentication, software security, cyber security, hardware security, Internet of Thing (IoT), cloud security, smart card technology, CAPTCHA, digital signature, and digital watermarking. This book is organized into fifteen chapters; topics include foundations of functional encryption, impact of group theory in cryptosystems, elliptic curve cryptography, XTR algorithm, pairing based cryptography, NTRU algorithms, ring units, cocks IBE schemes, Boneh-Franklin IBE, Sakai-Kasahara IBE, hierarchical identity based encryption, attribute based Encryption, extensions of IBE and related primitives, and digital signatures. Explains the latest functional encryption algorithms in a simple way with examples; Includes applications of functional encryption in information security, application security, and network security; Relevant to academics, research scholars, software developers, etc.

Advances in Elliptic Curve Cryptography

Author : Ian F. Blake
Publisher : Cambridge University Press
ISBN 13 : 9781139441223
Total Pages : 308 pages
Book Rating : 4.4/5 (412 download)

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Book Synopsis Advances in Elliptic Curve Cryptography by : Ian F. Blake

Download or read book Advances in Elliptic Curve Cryptography written by Ian F. Blake and published by Cambridge University Press. This book was released on 2005-04-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Finite Fields

Author : Gary L. Mullen
Publisher : CRC Press
ISBN 13 : 1439873828
Total Pages : 1048 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Finite Fields by : Gary L. Mullen

Download or read book Handbook of Finite Fields written by Gary L. Mullen and published by CRC Press. This book was released on 2013-06-17 with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Elliptic Curves in Cryptography

Author : Ian F. Blake
Publisher : Cambridge University Press
ISBN 13 : 9780521653749
Total Pages : 228 pages
Book Rating : 4.6/5 (537 download)

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Book Synopsis Elliptic Curves in Cryptography by : Ian F. Blake

Download or read book Elliptic Curves in Cryptography written by Ian F. Blake and published by Cambridge University Press. This book was released on 1999-07-08 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the mathematics behind practical implementations of elliptic curve systems.

Advances in Cryptology - EUROCRYPT 2009

Author : Antoine Joux
Publisher : Springer Science & Business Media
ISBN 13 : 3642010008
Total Pages : 623 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Advances in Cryptology - EUROCRYPT 2009 by : Antoine Joux

Download or read book Advances in Cryptology - EUROCRYPT 2009 written by Antoine Joux and published by Springer Science & Business Media. This book was released on 2009-04-20 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 28th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2009, held in Cologne, Germany, in April 2009. The 33 revised full papers presented together with 1 invited lecture were carefully reviewed and selected from 148 submissions. The papers address all current foundational, theoretical and research aspects of cryptology, cryptography, and cryptanalysis as well as advanced applications. The papers are organized in topical sections on security, proofs, and models, hash cryptanalysis, group and broadcast encryption, cryptosystems, cryptanalysis, side channels, curves, and randomness.

Cryptographic Hardware and Embedded Systems – CHES 2008

Author : Elisabeth Oswald
Publisher : Springer
ISBN 13 : 3540850538
Total Pages : 445 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Cryptographic Hardware and Embedded Systems – CHES 2008 by : Elisabeth Oswald

Download or read book Cryptographic Hardware and Embedded Systems – CHES 2008 written by Elisabeth Oswald and published by Springer. This book was released on 2008-08-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th Interntaional Workshop on Cryptographic Hardware and Embedded Systems, CHES 2008, held in Washington, D.C., USA, during August 10-13, 2008. The book contains 2 invited talks and 27 revised full papers which were carefully reviewed and selected from 107 submissions. The papers are organized in topical sections on side channel analysis, implementations, fault analysis, random number generation, and cryptography and cryptanalysis.

Progress in Cryptology - AFRICACRYPT 2008

Author : Serge Vaudenay
Publisher : Springer Science & Business Media
ISBN 13 : 3540681590
Total Pages : 425 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Progress in Cryptology - AFRICACRYPT 2008 by : Serge Vaudenay

Download or read book Progress in Cryptology - AFRICACRYPT 2008 written by Serge Vaudenay and published by Springer Science & Business Media. This book was released on 2008-05-27 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Conference on Cryptology hosted in Africa, held in Casablanca, Morocco, in June 2008. The 25 revised full papers presented together with 2 invited papers were carefully selected during two rounds of reviewing and improvement from 82 submissions. The papers are organized in topical sections on AES, analysis of RFID protocols, cryptographic protocols, authentication, public-key cryptography, pseudorandomness, analysis of stream ciphers, hash functions, broadcast encryption, and implementation.