Cryptanalysis Of Number Theoretic Ciphers

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Cryptanalysis of Number Theoretic Ciphers

Author : Samuel S. Wagstaff, Jr.
Publisher : CRC Press
ISBN 13 : 1351991949
Total Pages : 340 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Cryptanalysis of Number Theoretic Ciphers by : Samuel S. Wagstaff, Jr.

Download or read book Cryptanalysis of Number Theoretic Ciphers written by Samuel S. Wagstaff, Jr. and published by CRC Press. This book was released on 2019-08-22 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of modern cryptographic algorithms lies computational number theory. Whether you're encrypting or decrypting ciphers, a solid background in number theory is essential for success. Written by a number theorist and practicing cryptographer, Cryptanalysis of Number Theoretic Ciphers takes you from basic number theory to the inner workings of ciphers and protocols. First, the book provides the mathematical background needed in cryptography as well as definitions and simple examples from cryptography. It includes summaries of elementary number theory and group theory, as well as common methods of finding or constructing large random primes, factoring large integers, and computing discrete logarithms. Next, it describes a selection of cryptographic algorithms, most of which use number theory. Finally, the book presents methods of attack on the cryptographic algorithms and assesses their effectiveness. For each attack method the author lists the systems it applies to and tells how they may be broken with it. Computational number theorists are some of the most successful cryptanalysts against public key systems. Cryptanalysis of Number Theoretic Ciphers builds a solid foundation in number theory and shows you how to apply it not only when breaking ciphers, but also when designing ones that are difficult to break.

Cryptanalysis of Number Theoretic Ciphers

Author : Samuel S. Wagstaff, Jr.
Publisher : CRC Press
ISBN 13 : 1420057693
Total Pages : 336 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Cryptanalysis of Number Theoretic Ciphers by : Samuel S. Wagstaff, Jr.

Download or read book Cryptanalysis of Number Theoretic Ciphers written by Samuel S. Wagstaff, Jr. and published by CRC Press. This book was released on 2019-08-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the heart of modern cryptographic algorithms lies computational number theory. Whether you're encrypting or decrypting ciphers, a solid background in number theory is essential for success. Written by a number theorist and practicing cryptographer, Cryptanalysis of Number Theoretic Ciphers takes you from basic number theory to the inner workings of ciphers and protocols. First, the book provides the mathematical background needed in cryptography as well as definitions and simple examples from cryptography. It includes summaries of elementary number theory and group theory, as well as common methods of finding or constructing large random primes, factoring large integers, and computing discrete logarithms. Next, it describes a selection of cryptographic algorithms, most of which use number theory. Finally, the book presents methods of attack on the cryptographic algorithms and assesses their effectiveness. For each attack method the author lists the systems it applies to and tells how they may be broken with it. Computational number theorists are some of the most successful cryptanalysts against public key systems. Cryptanalysis of Number Theoretic Ciphers builds a solid foundation in number theory and shows you how to apply it not only when breaking ciphers, but also when designing ones that are difficult to break.

An Introduction to Mathematical Cryptography

Author : Jeffrey Hoffstein
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.

Modern Cryptanalysis

Author : Christopher Swenson
Publisher : John Wiley & Sons
ISBN 13 : 1118428625
Total Pages : 336 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Modern Cryptanalysis by : Christopher Swenson

Download or read book Modern Cryptanalysis written by Christopher Swenson and published by John Wiley & Sons. This book was released on 2012-06-27 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an instructor at the University of Tulsa, Christopher Swenson could find no relevant text for teaching modern cryptanalysis?so he wrote his own. This is the first book that brings the study of cryptanalysis into the 21st century. Swenson provides a foundation in traditional cryptanalysis, examines ciphers based on number theory, explores block ciphers, and teaches the basis of all modern cryptanalysis: linear and differential cryptanalysis. This time-honored weapon of warfare has become a key piece of artillery in the battle for information security.

Group Theoretic Cryptography

Author : Maria Isabel Gonzalez Vasco
Publisher : CRC Press
ISBN 13 : 1584888377
Total Pages : 244 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Group Theoretic Cryptography by : Maria Isabel Gonzalez Vasco

Download or read book Group Theoretic Cryptography written by Maria Isabel Gonzalez Vasco and published by CRC Press. This book was released on 2015-04-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this approach. The authors provide the needed cryptographic and group theoretic concepts, full proofs of essential theorems, and formal security evaluations of the cryptographic schemes presented. They also provide references for further reading and exercises at the end of each chapter.

Computational Number Theory and Modern Cryptography

Author : Song Y. Yan
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.

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

Mathematics of Public Key Cryptography

Author : Steven D. Galbraith
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.

Cryptography

Author : Simon Rubinstein-Salzedo
Publisher : Springer
ISBN 13 : 3319948180
Total Pages : 259 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Cryptography by : Simon Rubinstein-Salzedo

Download or read book Cryptography written by Simon Rubinstein-Salzedo and published by Springer. This book was released on 2018-09-27 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication. Beginning with classical ciphers and their cryptanalysis, this book proceeds to focus on modern public key cryptosystems such as Diffie-Hellman, ElGamal, RSA, and elliptic curve cryptography with an analysis of vulnerabilities of these systems and underlying mathematical issues such as factorization algorithms. Specialized topics such as zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in the final section of this book. Aimed at undergraduate students, this book contains a large selection of problems, ranging from straightforward to difficult, and can be used as a textbook for classes as well as self-study. Requiring only a solid grounding in basic mathematics, this book will also appeal to advanced high school students and amateur mathematicians interested in this fascinating and topical subject.

Applied Cryptography

Author : Bruce Schneier
Publisher : John Wiley & Sons
ISBN 13 : 1119439027
Total Pages : 926 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Applied Cryptography by : Bruce Schneier

Download or read book Applied Cryptography written by Bruce Schneier and published by John Wiley & Sons. This book was released on 2017-05-25 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the world's most renowned security technologist, Bruce Schneier, this 20th Anniversary Edition is the most definitive reference on cryptography ever published and is the seminal work on cryptography. Cryptographic techniques have applications far beyond the obvious uses of encoding and decoding information. For developers who need to know about capabilities, such as digital signatures, that depend on cryptographic techniques, there's no better overview than Applied Cryptography, the definitive book on the subject. Bruce Schneier covers general classes of cryptographic protocols and then specific techniques, detailing the inner workings of real-world cryptographic algorithms including the Data Encryption Standard and RSA public-key cryptosystems. The book includes source-code listings and extensive advice on the practical aspects of cryptography implementation, such as the importance of generating truly random numbers and of keeping keys secure. ". . .the best introduction to cryptography I've ever seen. . . .The book the National Security Agency wanted never to be published. . . ." -Wired Magazine ". . .monumental . . . fascinating . . . comprehensive . . . the definitive work on cryptography for computer programmers . . ." -Dr. Dobb's Journal ". . .easily ranks as one of the most authoritative in its field." -PC Magazine The book details how programmers and electronic communications professionals can use cryptography-the technique of enciphering and deciphering messages-to maintain the privacy of computer data. It describes dozens of cryptography algorithms, gives practical advice on how to implement them into cryptographic software, and shows how they can be used to solve security problems. The book shows programmers who design computer applications, networks, and storage systems how they can build security into their software and systems. With a new Introduction by the author, this premium edition will be a keepsake for all those committed to computer and cyber security.

Computational Cryptography

Author : Joppe Bos
Publisher :
ISBN 13 : 1108848427
Total Pages : 402 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Computational Cryptography by : Joppe Bos

Download or read book Computational Cryptography written by Joppe Bos and published by . This book was released on 2021-12-09 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.

Elementary Number Theory, Cryptography and Codes

Author : M. Welleda Baldoni
Publisher : Springer Science & Business Media
ISBN 13 : 3540692002
Total Pages : 530 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Elementary Number Theory, Cryptography and Codes by : M. Welleda Baldoni

Download or read book Elementary Number Theory, Cryptography and Codes written by M. Welleda Baldoni and published by Springer Science & Business Media. This book was released on 2008-11-28 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter. Though the book contains advanced material, such as cryptography on elliptic curves, Goppa codes using algebraic curves over finite fields, and the recent AKS polynomial primality test, the authors' objective has been to keep the exposition as self-contained and elementary as possible. Therefore the book will be useful to students and researchers, both in theoretical (e.g. mathematicians) and in applied sciences (e.g. physicists, engineers, computer scientists, etc.) seeking a friendly introduction to the important subjects treated here. The book will also be useful for teachers who intend to give courses on these topics.

Primality Testing and Integer Factorization in Public-Key Cryptography

Author : Song Y. Yan
Publisher : Springer Science & Business Media
ISBN 13 : 0387772685
Total Pages : 386 pages
Book Rating : 4.3/5 (877 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 2009-04-03 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for advanced level students in computer science and mathematics, this key text, now in a brand new edition, provides a survey of recent progress in primality testing and integer factorization, with implications for factoring based public key cryptography. For this updated and revised edition, notable new features include a comparison of the Rabin-Miller probabilistic test in RP, the Atkin-Morain elliptic curve test in ZPP and the AKS deterministic test.

Public-Key Cryptography

Author : Daniel Lieman
Publisher : American Mathematical Soc.
ISBN 13 : 0821833650
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Public-Key Cryptography by : Daniel Lieman

Download or read book Public-Key Cryptography written by Daniel Lieman and published by American Mathematical Soc.. This book was released on 2005 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles grew out of an expository and tutorial conference on public-key cryptography, held at the Joint Mathematics Meetings (Baltimore). The book provides an introduction and survey on public-key cryptography for those with considerable mathematical maturity and general mathematical knowledge. Its goal is to bring visibility to the cryptographic issues that fall outside the scope of standard mathematics. These mathematical expositions are intended for experienced mathematicians who are not well acquainted with the subject. The book is suitable for graduate students, researchers, and engineers interested in mathematical aspects and applications of public-key cryptography.

Introduction to Modern Cryptography

Author : Jonathan Katz
Publisher : CRC Press
ISBN 13 : 1351133012
Total Pages : 435 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Introduction to Modern Cryptography by : Jonathan Katz

Download or read book Introduction to Modern Cryptography written by Jonathan Katz and published by CRC Press. This book was released on 2020-12-21 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.

History of Cryptography and Cryptanalysis

Author : John F. Dooley
Publisher : Springer
ISBN 13 : 3319904434
Total Pages : 307 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis History of Cryptography and Cryptanalysis by : John F. Dooley

Download or read book History of Cryptography and Cryptanalysis written by John F. Dooley and published by Springer. This book was released on 2018-08-23 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible textbook presents a fascinating review of cryptography and cryptanalysis across history. The text relates the earliest use of the monoalphabetic cipher in the ancient world, the development of the “unbreakable” Vigenère cipher, and an account of how cryptology entered the arsenal of military intelligence during the American Revolutionary War. Moving on to the American Civil War, the book explains how the Union solved the Vigenère ciphers used by the Confederates, before investigating the development of cipher machines throughout World War I and II. This is then followed by an exploration of cryptology in the computer age, from public-key cryptography and web security, to criminal cyber-attacks and cyber-warfare. Looking to the future, the role of cryptography in the Internet of Things is also discussed, along with the potential impact of quantum computing. Topics and features: presents a history of cryptology from ancient Rome to the present day, with a focus on cryptology in the 20th and 21st centuries; reviews the different types of cryptographic algorithms used to create secret messages, and the various methods for breaking such secret messages; provides engaging examples throughout the book illustrating the use of cryptographic algorithms in different historical periods; describes the notable contributions to cryptology of Herbert Yardley, William and Elizebeth Smith Friedman, Lester Hill, Agnes Meyer Driscoll, and Claude Shannon; concludes with a review of tantalizing unsolved mysteries in cryptology, such as the Voynich Manuscript, the Beale Ciphers, and the Kryptos sculpture. This engaging work is ideal as both a primary text for courses on the history of cryptology, and as a supplementary text for advanced undergraduate courses on computer security. No prior background in mathematics is assumed, beyond what would be encountered in an introductory course on discrete mathematics.

Stream Ciphers and Number Theory

Author : T.W. Cusick
Publisher : Elsevier
ISBN 13 : 0444828737
Total Pages : 447 pages
Book Rating : 4.4/5 (448 download)

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Book Synopsis Stream Ciphers and Number Theory by : T.W. Cusick

Download or read book Stream Ciphers and Number Theory written by T.W. Cusick and published by Elsevier. This book was released on 1998-04-20 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is almost entirely concerned with stream ciphers, concentrating on a particular mathematical model for such ciphers which are called additive natural stream ciphers. These ciphers use a natural sequence generator to produce a periodic keystream. Full definitions of these concepts are given in Chapter 2.This book focuses on keystream sequences which can be analysed using number theory. It turns out that a great deal of information can be deducted about the cryptographic properties of many classes of sequences by applying the terminology and theorems of number theory. These connections can be explicitly made by describing three kinds of bridges between stream ciphering problems and number theory problems. A detailed summary of these ideas is given in the introductory Chapter 1.Many results in the book are new, and over seventy percent of these results described in this book are based on recent research results.