Handbook Of Elliptic And Hyperelliptic Curve Cryptography
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Handbook Of Elliptic And Hyperelliptic Curve Cryptography
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Author : Henri Cohen
language : en
Publisher: CRC Press
Release Date : 2005-07-19
Handbook Of Elliptic And Hyperelliptic Curve Cryptography written by Henri Cohen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-19 with Mathematics categories.
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
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Author :
language : en
Publisher:
Release Date : 2006
Handbook Of Elliptic And Hyperelliptic Curve Cryptography written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with COMPUTERS categories.
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
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Author : Henri Cohen
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2016-03-26
Handbook Of Elliptic And Hyperelliptic Curve Cryptography Second Edition written by Henri Cohen and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-26 with Computers categories.
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.
Pairing Based Cryptography Pairing 2009
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Author : Hovav Shacham
language : en
Publisher: Springer
Release Date : 2009-07-31
Pairing Based Cryptography Pairing 2009 written by Hovav Shacham and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-31 with Computers categories.
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.
Software Technology And Engineering Proceedings Of The International Conference On Icste 2009
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Author : Venkatesh Mahadevan
language : en
Publisher: World Scientific
Release Date : 2009-07-16
Software Technology And Engineering Proceedings Of The International Conference On Icste 2009 written by Venkatesh Mahadevan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-16 with Computers categories.
The 2009 International Conference on Software Technology and Engineering (ICSTE 2009) will be held in Chennai, India during July 24-26, 2009. The objective of the ICSTE 2009 is to provide a platform for researchers, engineers, academicians as well as industrial professionals from all over the world to present their research results and development activities in Software Technology and Engineering. This conference provides opportunities for the delegates to exchange new ideas and application experiences, to establish business or research relations and to find global partners for future collaboration. Submitted conference papers will be reviewed by technical committees of the conference.
Mathematical Principles Of The Internet Two Volume Set
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Author : Nirdosh Bhatnagar
language : en
Publisher: CRC Press
Release Date : 2019-03-18
Mathematical Principles Of The Internet Two Volume Set written by Nirdosh Bhatnagar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-18 with Computers categories.
This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, these cover only a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.
Mathematical Principles Of The Internet Volume 2
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Author : Nirdosh Bhatnagar
language : en
Publisher: CRC Press
Release Date : 2018-11-21
Mathematical Principles Of The Internet Volume 2 written by Nirdosh Bhatnagar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-21 with Computers categories.
This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.
Progress In Cryptology Africacrypt 2011
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Author : Abderrahmane Nitaj
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-22
Progress In Cryptology Africacrypt 2011 written by Abderrahmane Nitaj and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-22 with Business & Economics categories.
This book constitutes the refereed proceedings of the 4th International Conference on the Theory and Application of Cryptographic Techniques in Africa, AFRICACRYPT 2011, held in Dakar, Senegal, in July 2011. The 23 papers presented together with abstracts of 3 invited talks were carefully reviewed and selected from 76 submissions. They are organized in topical sections on protocols, cryptanalysis, secret-key cryptography, efficient implementations, cryptographic schemes, algorithmic problems, elliptic curves, fault analysis, and security proofs.
Modern Cryptography
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Author : William Easttom
language : en
Publisher: Springer Nature
Release Date : 2022-10-29
Modern Cryptography written by William Easttom and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-29 with Technology & Engineering categories.
This expanded textbook, now in its second edition, is a practical yet in depth guide to cryptography and its principles and practices. Now featuring a new section on quantum resistant cryptography in addition to expanded and revised content throughout, the book continues to place cryptography in real-world security situations using the hands-on information contained throughout the chapters. Prolific author Dr. Chuck Easttom lays out essential math skills and fully explains how to implement cryptographic algorithms in today's data protection landscape. Readers learn and test out how to use ciphers and hashes, generate random keys, handle VPN and Wi-Fi security, and encrypt VoIP, Email, and Web communications. The book also covers cryptanalysis, steganography, and cryptographic backdoors and includes a description of quantum computing and its impact on cryptography. This book is meant for those without a strong mathematics background with only just enough math to understand the algorithms given. The book contains a slide presentation, questions and answers, and exercises throughout. Presents new and updated coverage of cryptography including new content on quantum resistant cryptography; Covers the basic math needed for cryptography - number theory, discrete math, and algebra (abstract and linear); Includes a full suite of classroom materials including exercises, Q&A, and examples.
Advances In Cryptology Asiacrypt 2006
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Author : Xuejia Lai
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-22
Advances In Cryptology Asiacrypt 2006 written by Xuejia Lai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-22 with Business & Economics categories.
Constitutes the refereed proceedings of the 12th International Conference on the Theory and Application of Cryptology and Information Security. This book presents papers on attacks on hash functions, stream ciphers and boolean functions, biometrics and ECC computation, id-based schemes, public-key schemes, RSA and factorization, and more.