Number Theory And Cryptography

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A Course in Number Theory and Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 208
Isbn : 1468403109
Identifier : 9781468403107
Release : 2012-12-06
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now A Course In Number Theory And Cryptography by Neal Koblitz and you can download with pub, pdf, txt, doc, and more file format with free account. the purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. because number theory and cryptography are fast-moving fields, this new edition contains substantial revisions and updated references.

Number Theory and Cryptography

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Author by : J. H. Loxton
Languange Used : English, France, Spanish, Italia and chinese
Page : 235
Isbn : 0521398770
Identifier : 9780521398770
Release : 1990-04-19
Publisher by : Cambridge University Press
Category : Mathematics
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Description : Read Now Number Theory And Cryptography by J. H. Loxton and you can download with pub, pdf, txt, doc, and more file format with free account. papers presented by prominent contributors at a workshop on number theory and cryptography, and the annual meeting of the australian mathematical society.

An Introduction to Number Theory with Cryptography

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Author by : James R. Kraft
Languange Used : English, France, Spanish, Italia and chinese
Page : 578
Isbn : 9781138063471
Identifier : 1138063479
Release : 2018
Publisher by : Chapman & Hall/CRC
Category : Cryptography
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Description : Read Now An Introduction To Number Theory With Cryptography by James R. Kraft and you can download with pub, pdf, txt, doc, and more file format with free account. building on the success of the first edition, an introduction to number theory with cryptography, second edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory. the authors have written the text in an engaging style to reflect number theory's increasing popularity. the book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. it includes a few more advanced topics for students who wish to explore beyond the traditional curriculum.

Cryptographic Applications of Analytic Number Theory Complexity Lower Bounds and Pseudorandomness

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Author by : Igor Shparlinski
Languange Used : English, France, Spanish, Italia and chinese
Page : 411
Isbn : 9783764366544
Identifier : 3764366540
Release : 2003-02-12
Publisher by : Springer Science & Business Media
Category : Computers
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Description : Read Now Cryptographic Applications Of Analytic Number Theory by Igor Shparlinski and you can download with pub, pdf, txt, doc, and more file format with free account. the book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation. cryptographers and number theorists will find this book useful. the former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.

An Introduction to Number Theory with Cryptography

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Author by : James S. Kraft
Languange Used : English, France, Spanish, Italia and chinese
Page : 572
Isbn : 1482214423
Identifier : 9781482214420
Release : 2016-04-19
Publisher by : CRC Press
Category : Mathematics
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Description : Read Now An Introduction To Number Theory With Cryptography by James S. Kraft and you can download with pub, pdf, txt, doc, and more file format with free account. number theory has a rich history. for many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. more recently, it has been an area that also has important applications to subjects such as cryptography. an introduction to number theory with cryptography presents number theory along with many interesting applications. designed for an undergraduate-level course, it covers standard number theory topics and gives instructors the option of integrating several other topics into their coverage. the "check your understanding" problems aid in learning the basics, and there are numerous exercises, projects, and computer explorations of varying levels of difficulty.

Number Theory and Cryptography Papers in Honor of Johannes Buchmann on the Occasion of His 60th Birthday

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Author by : Marc Fischlin
Languange Used : English, France, Spanish, Italia and chinese
Page : 281
Isbn : 364242001X
Identifier : 9783642420016
Release : 2013-11-21
Publisher by : Springer
Category : Computers
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Description : Read Now Number Theory And Cryptography by Marc Fischlin and you can download with pub, pdf, txt, doc, and more file format with free account. johannes buchmann is internationally recognized as one of the leading figures in areas of computational number theory, cryptography and information security. he has published numerous scientific papers and books spanning a very wide spectrum of interests; besides r&d he also fulfilled lots of administrative tasks for instance building up and directing his research group cdc at darmstadt, but he also served as the dean of the department of computer science at tu darmstadt and then went on to become vice president of the university for six years (2001-2007). this festschrift, published in honor of johannes buchmann on the occasion of his 60th birthday, contains contributions by some of his colleagues, former students and friends. the papers give an overview of johannes buchmann's research interests, ranging from computational number theory and the hardness of cryptographic assumptions to more application-oriented topics such as privacy and hardware security. with this book we celebrate johannes buchmann's vision and achievements.

Elementary Number Theory, Cryptography and Codes

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Author by : M. Welleda Baldoni
Languange Used : English, France, Spanish, Italia and chinese
Page : 522
Isbn : 9783540692003
Identifier : 3540692002
Release : 2008-11-28
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now Elementary Number Theory Cryptography And Codes by M. Welleda Baldoni and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

Elliptic Curves Number Theory and Cryptography, Second Edition

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Author by : Lawrence C. Washington
Languange Used : English, France, Spanish, Italia and chinese
Page : 536
Isbn : 9781420071474
Identifier : 1420071475
Release : 2008-04-03
Publisher by : CRC Press
Category : Mathematics
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Description : Read Now Elliptic Curves by Lawrence C. Washington and you can download with pub, pdf, txt, doc, and more file format with free account. 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 applications of elliptic curves. new to the second edition chapters on isogenies and hyperelliptic curves a discussion of alternative coordinate systems, such as projective, jacobian, and edwards coordinates, along with related computational issues a more complete treatment of the weil and tate–lichtenbaum pairings doud’s analytic method for computing torsion on elliptic curves over q an explanation of how to perform calculations with elliptic curves in several popular computer algebra systems taking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. it introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing. the book also discusses the use of elliptic curves in fermat’s last theorem. relevant abstract algebra material on group theory and fields can be found in the appendices.

Computational Number Theory and Modern Cryptography

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Author by : Song Y. Yan
Languange Used : English, France, Spanish, Italia and chinese
Page : 432
Isbn : 1118188616
Identifier : 9781118188613
Release : 2012-11-28
Publisher by : John Wiley & Sons
Category : Computers
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Description : Read Now Computational Number Theory And Modern Cryptography by Song Y. Yan and you can download with pub, pdf, txt, doc, and more file format with free account. the only book to provide a unified view of the interplay betweencomputational number theory and cryptography computational number theory and modern cryptography are two ofthe most important and fundamental research fields in informationsecurity. in this book, song y. yang combines knowledge of thesetwo critical fields, providing a unified view of the relationshipsbetween computational number theory and cryptography. the authortakes an innovative approach, presenting mathematical ideas first,thereupon treating cryptography as an immediate application of themathematical concepts. the book also presents topics from numbertheory, which are relevant for applications in public-keycryptography, as well as modern topics, such as coding and latticebased cryptography for post-quantum cryptography. the authorfurther covers the current research and applications for commoncryptographic algorithms, describing the mathematical problemsbehind these applications in a manner accessible to computerscientists and engineers. makes mathematical problems accessible to computer scientistsand engineers by showing their immediate application presents topics from number theory relevant for public-keycryptography applications covers modern topics such as coding and lattice basedcryptography for post-quantum cryptography starts with the basics, then goes into applications and areasof 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 companionwebsite computational number theory and modern cryptography isideal for graduate and advanced undergraduate students incomputer science, communications engineering, cryptography andmathematics. computer scientists, practicing cryptographers, andother professionals involved in various security schemes will alsofind this book to be a helpful reference.

Author by : Kazimierz Alster
Languange Used : English, France, Spanish, Italia and chinese
Page : 343
Isbn : 3110881039
Identifier : 9783110881035
Release : 2001-01-01
Publisher by : Walter de Gruyter
Category : Mathematics
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Description : Read Now Public Key Cryptography And Computational Number Theory by Kazimierz Alster and you can download with pub, pdf, txt, doc, and more file format with free account. the proceedings contain twenty selected, refereed contributions arising from the international conference on public-key cryptography and computational number theory held in warsaw, poland, on september 11-15, 2000. the conference, attended by eightyfive mathematicians from eleven countries, was organized by the stefan banach international mathematical center. this volume contains articles from leading experts in the world on cryptography and computational number theory, providing an account of the state of research in a wide variety of topics related to the conference theme. it is dedicated to the memory of the polish mathematicians marian rejewski (1905-1980), jerzy róøycki (1909-1942) and henryk zygalski (1907-1978), who deciphered the military version of the famous enigma in december 1932 – january 1933. a noteworthy feature of the volume is a foreword written by andrew odlyzko on the progress in cryptography from enigma time until now.

Elliptic Curves Number Theory and Cryptography

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Author by : Lawrence C. Washington
Languange Used : English, France, Spanish, Italia and chinese
Page : 440
Isbn : 9780203484029
Identifier : 0203484029
Release : 2003-05-28
Publisher by : CRC Press
Category : Mathematics
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Description : Read Now Elliptic Curves by Lawrence C. Washington and you can download with pub, pdf, txt, doc, and more file format with free account. elliptic curves have played an increasingly important role in number theory and related fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of fermat's last theorem. however, most books on the subject assume a rather high level of mathematical sophistication, and few are truly accessible to senior undergraduate or beginning graduate students. assuming only a modest background in elementary number theory, groups, and fields, elliptic curves: number theory and cryptography introduces both the cryptographic and number theoretic sides of elliptic curves, interweaving the theory of elliptic curves with their applications. the author introduces elliptic curves over finite fields early in the treatment, leading readers directly to the intriguing cryptographic applications, but the book is structured so that readers can explore the number theoretic aspects independently if desired. by side-stepping algebraic geometry in favor an approach based on basic formulas, this book clearly demonstrates how elliptic curves are used and opens the doors to higher-level studies. elliptic curves offers a solid introduction to the mathematics and applications of elliptic curves that well prepares its readers to tackle more advanced problems in cryptography and number theory.

Cryptology and Computational Number Theory

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Author by : Carl Pomerance
Languange Used : English, France, Spanish, Italia and chinese
Page : 171
Isbn : 9780821801550
Identifier : 0821801554
Release : 1990
Publisher by : American Mathematical Soc.
Category : Computers
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Description : Read Now Cryptology And Computational Number Theory by Carl Pomerance and you can download with pub, pdf, txt, doc, and more file format with free account. in the past dozen or so years, cryptology and computational number theory have become increasingly intertwined. because the primary cryptologic application of number theory is the apparent intractability of certain computations, these two fields could part in the future and again go their separate ways. but for now, their union is continuing to bring ferment and rapid change in both subjects. this book contains the proceedings of an ams short course in cryptology and computational number theory, held in august 1989 during the joint mathematics meetings in boulder, colorado. these eight papers by six of the top experts in the field will provide readers with a thorough introduction to some of the principal advances in cryptology and computational number theory over the past fifteen years. in addition to an extensive introductory article, the book contains articles on primality testing, discrete logarithms, integer factoring, knapsack cryptosystems, pseudorandom number generators, the theoretical underpinnings of cryptology, and other number theory-based cryptosystems. requiring only background in elementary number theory, this book is aimed at nonexperts, including graduate students and advanced undergraduates in mathematics and computer science.