Primality Testing and Integer Factorization in Public-Key Cryptography

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475738161
Total Pages : 249 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Primality Testing and Integer Factorization in Public-Key Cryptography by : Song Y. Yan

Download or read book Primality Testing and Integer Factorization in Public-Key Cryptography written by Song Y. Yan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primality Testing and Integer Factorization in Public-Key Cryptography introduces various algorithms for primality testing and integer factorization, with their applications in public-key cryptography and information security. More specifically, this book explores basic concepts and results in number theory in Chapter 1. Chapter 2 discusses various algorithms for primality testing and prime number generation, with an emphasis on the Miller-Rabin probabilistic test, the Goldwasser-Kilian and Atkin-Morain elliptic curve tests, and the Agrawal-Kayal-Saxena deterministic test for primality. Chapter 3 introduces various algorithms, particularly the Elliptic Curve Method (ECM), the Quadratic Sieve (QS) and the Number Field Sieve (NFS) for integer factorization. This chapter also discusses some other computational problems that are related to factoring, such as the square root problem, the discrete logarithm problem and the quadratic residuosity problem.

1992 Census of Wholesale Trade

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Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis 1992 Census of Wholesale Trade by :

Download or read book 1992 Census of Wholesale Trade written by and published by . This book was released on 1994 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Number Theory and Modern Cryptography

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Publisher : John Wiley & Sons
ISBN 13 : 1118188586
Total Pages : 432 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Computational Number Theory and Modern Cryptography by : Song Y. Yan

Download or read book Computational Number Theory and Modern Cryptography written by Song Y. Yan and published by John Wiley & Sons. This book was released on 2013-01-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security. In this book, Song Y. Yang combines knowledge of these two critical fields, providing a unified view of the relationships between computational number theory and cryptography. The author takes an innovative approach, presenting mathematical ideas first, thereupon treating cryptography as an immediate application of the mathematical concepts. The book also presents topics from number theory, which are relevant for applications in public-key cryptography, as well as modern topics, such as coding and lattice based cryptography for post-quantum cryptography. The author further covers the current research and applications for common cryptographic algorithms, describing the mathematical problems behind these applications in a manner accessible to computer scientists and engineers. Makes mathematical problems accessible to computer scientists and engineers by showing their immediate application Presents topics from number theory relevant for public-key cryptography applications Covers modern topics such as coding and lattice based cryptography for post-quantum cryptography Starts with the basics, then goes into applications and areas of active research Geared at a global audience; classroom tested in North America, Europe, and Asia Incudes exercises in every chapter Instructor resources available on the book’s Companion Website Computational Number Theory and Modern Cryptography is ideal for graduate and advanced undergraduate students in computer science, communications engineering, cryptography and mathematics. Computer scientists, practicing cryptographers, and other professionals involved in various security schemes will also find this book to be a helpful reference.

Mathematics of Public Key Cryptography

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Publisher : Cambridge University Press
ISBN 13 : 1107013925
Total Pages : 631 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Mathematics of Public Key Cryptography by : Steven D. Galbraith

Download or read book Mathematics of Public Key Cryptography written by Steven D. Galbraith and published by Cambridge University Press. This book was released on 2012-03-15 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.

An Introduction to Mathematical Cryptography

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Publisher : Springer
ISBN 13 : 1493917110
Total Pages : 549 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis An Introduction to Mathematical Cryptography by : Jeffrey Hoffstein

Download or read book An Introduction to Mathematical Cryptography written by Jeffrey Hoffstein and published by Springer. This book was released on 2014-09-11 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.

Number Theory for Computing

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Publisher : Springer Science & Business Media
ISBN 13 : 366204773X
Total Pages : 454 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Number Theory for Computing by : Song Y. Yan

Download or read book Number Theory for Computing written by Song Y. Yan and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.

Cryptanalytic Attacks on RSA

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Publisher : Springer Science & Business Media
ISBN 13 : 0387487425
Total Pages : 270 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Cryptanalytic Attacks on RSA by : Song Y. Yan

Download or read book Cryptanalytic Attacks on RSA written by Song Y. Yan and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: RSA is a public-key cryptographic system, and is the most famous and widely-used cryptographic system in today's digital world. Cryptanalytic Attacks on RSA, a professional book, covers almost all known cryptanalytic attacks and defenses of the RSA cryptographic system and its variants. Since RSA depends heavily on computational complexity theory and number theory, background information on complexity theory and number theory is presented first, followed by an account of the RSA cryptographic system and its variants. This book is also suitable as a secondary text for advanced-level students in computer science and mathematics.

Handbook of Applied Cryptography

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Publisher : CRC Press
ISBN 13 : 0429881320
Total Pages : 810 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Handbook of Applied Cryptography by : Alfred J. Menezes

Download or read book Handbook of Applied Cryptography written by Alfred J. Menezes and published by CRC Press. This book was released on 2018-12-07 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Computational Number Theory

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Publisher : Springer
ISBN 13 : 3319258230
Total Pages : 259 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quantum Computational Number Theory by : Song Y. Yan

Download or read book Quantum Computational Number Theory written by Song Y. Yan and published by Springer. This book was released on 2015-12-26 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, DLP and ECDLP based cryptographic systems. Chapters also cover various other quantum algorithms for Pell's equation, principal ideal, unit group, class group, Gauss sums, prime counting function, Riemann's hypothesis and the BSD conjecture. Quantum Computational Number Theory is self-contained and intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the related fields. Number theorists, cryptographers and professionals working in quantum computing, cryptography and network security will find this book a valuable asset.

Mathematical Foundations of Public Key Cryptography

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Publisher : CRC Press
ISBN 13 : 1498702244
Total Pages : 228 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Mathematical Foundations of Public Key Cryptography by : Xiaoyun Wang

Download or read book Mathematical Foundations of Public Key Cryptography written by Xiaoyun Wang and published by CRC Press. This book was released on 2015-10-22 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice. The book provides a theoretical structure of fundamental number theory and algebra knowledge supporting public-key cryptography.R

The Development of the Number Field Sieve

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Publisher : Springer
ISBN 13 : 3540478922
Total Pages : 138 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis The Development of the Number Field Sieve by : Arjen K. Lenstra

Download or read book The Development of the Number Field Sieve written by Arjen K. Lenstra and published by Springer. This book was released on 2006-11-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.

Introduction to Cryptography with Java Applets

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Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763722074
Total Pages : 396 pages
Book Rating : 4.7/5 (22 download)

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Book Synopsis Introduction to Cryptography with Java Applets by : David Bishop

Download or read book Introduction to Cryptography with Java Applets written by David Bishop and published by Jones & Bartlett Learning. This book was released on 2003 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networking & Security

The Algorithm Design Manual

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Publisher : Springer Science & Business Media
ISBN 13 : 1848000707
Total Pages : 742 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis The Algorithm Design Manual by : Steven S Skiena

Download or read book The Algorithm Design Manual written by Steven S Skiena and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java

Computational Number Theory

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Author :
Publisher : CRC Press
ISBN 13 : 1482205823
Total Pages : 614 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Computational Number Theory by : Abhijit Das

Download or read book Computational Number Theory written by Abhijit Das and published by CRC Press. This book was released on 2016-04-19 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract

Cryptography and Cyber Security

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Publisher : Leilani Katie Publication
ISBN 13 : 9363488284
Total Pages : 232 pages
Book Rating : 4.3/5 (634 download)

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Book Synopsis Cryptography and Cyber Security by : Mr.Junath.N

Download or read book Cryptography and Cyber Security written by Mr.Junath.N and published by Leilani Katie Publication. This book was released on 2024-07-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mr.Junath.N, Senior Faculty, Department of Information Technology, College of Computing and Information Sciences, University of Technology and Applied Sciences, Sultanate of Oman. Mr.A.U.Shabeer Ahamed, Assistant Professor, Department of Computer Science, Jamal Mohamed College, Trichy, Tamil Nadu, India. Dr. Anitha Selvaraj, Assistant Professor, Department of Economics, Lady Doak College, Madurai, Tamil Nadu, India. Dr.A.Velayudham, Professor and Head, Department of Computer Science and Engineering, Jansons Institute of Technology, Coimbatore, Tamil Nadu, India. Mrs.S.Sathya Priya, Assistant Professor, Department of Information Technology, K. Ramakrishnan College of Engineering, Samayapuram, Tiruchirappalli, Tamil Nadu, India.

Quantum Attacks on Public-Key Cryptosystems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1441977228
Total Pages : 214 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Quantum Attacks on Public-Key Cryptosystems by : Song Y. Yan

Download or read book Quantum Attacks on Public-Key Cryptosystems written by Song Y. Yan and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cryptosystems based on the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP) and the Elliptic Curve Discrete Logarithm Problem (ECDLP) are essentially the only three types of practical public-key cryptosystems in use. The security of these cryptosystems relies heavily on these three infeasible problems, as no polynomial-time algorithms exist for them so far. However, polynomial-time quantum algorithms for IFP, DLP and ECDLP do exist, provided that a practical quantum computer exists. Quantum Attacks on Public-Key Cryptosystems presemts almost all known quantum computing based attacks on public-key cryptosystems, with an emphasis on quantum algorithms for IFP, DLP, and ECDLP. It also discusses some quantum resistant cryptosystems to replace the IFP, DLP and ECDLP based cryptosystems. This book is intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the field.

Edouard Lucas and Primality Testing

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Author :
Publisher : Wiley-Interscience
ISBN 13 : 9780471148524
Total Pages : 0 pages
Book Rating : 4.1/5 (485 download)

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Book Synopsis Edouard Lucas and Primality Testing by : Hugh C. Williams

Download or read book Edouard Lucas and Primality Testing written by Hugh C. Williams and published by Wiley-Interscience. This book was released on 1998-03-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the development and extension of fundamental idea of Edouard Lucas, a French mathematician and mathematical recreationist, that is still used today in the verification of the largest primes.