A Course In 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.

A Course in Number Theory and Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 235
Isbn : 1441985921
Identifier : 9781441985927
Release : 2012-09-05
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. this is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. as such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. the approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. extensive exercises and careful answers are an integral part all of the chapters.

A Course in Number Theory and Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 235
Isbn : 9780387942933
Identifier : 0387942939
Release : 1994-09-02
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. this is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. as such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. the approach taken is algorithmic, emphasising estimates of the efficiency of the techniques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. extensive exercises and careful answers are an integral part all of the chapters.

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 : 9787506207379
Identifier : 7506207370
Release : 1987
Publisher by : no defined
Category : Cryptography
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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.

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.

An Introduction to Mathematical Cryptography

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Author by : Jeffrey Hoffstein
Languange Used : English, France, Spanish, Italia and chinese
Page : 538
Isbn : 1493917110
Identifier : 9781493917112
Release : 2014-09-11
Publisher by : Springer
Category : Mathematics
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Description : Read Now An Introduction To Mathematical Cryptography by Jeffrey Hoffstein and you can download with pub, pdf, txt, doc, and more file format with free account. 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.

A Course in Computational Algebraic Number Theory

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Author by : Henri Cohen
Languange Used : English, France, Spanish, Italia and chinese
Page : 536
Isbn : 3662029456
Identifier : 9783662029459
Release : 2013-04-17
Publisher by : Springer Science & Business Media
Category : Mathematics
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Description : Read Now A Course In Computational Algebraic Number Theory by Henri Cohen and you can download with pub, pdf, txt, doc, and more file format with free account. a description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. the first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. the whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

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.

Algebraic Aspects of Cryptography

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Author by : Neal Koblitz
Languange Used : English, France, Spanish, Italia and chinese
Page : 206
Isbn : 3662036428
Identifier : 9783662036426
Release : 2012-12-06
Publisher by : Springer Science & Business Media
Category : Computers
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Description : Read Now Algebraic Aspects Of Cryptography by Neal Koblitz and you can download with pub, pdf, txt, doc, and more file format with free account. from the reviews: "this is a textbook in cryptography with emphasis on algebraic methods. it is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] overall, this is an excellent expository text, and will be very useful to both the student and researcher." mathematical reviews

A Computational Introduction to Number Theory and Algebra

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Author by : Victor Shoup
Languange Used : English, France, Spanish, Italia and chinese
Page : 517
Isbn : 9780521851541
Identifier : 0521851548
Release : 2005-04-28
Publisher by : Cambridge University Press
Category : Computers
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Description : Read Now A Computational Introduction To Number Theory And Algebra by Victor Shoup and you can download with pub, pdf, txt, doc, and more file format with free account. this introductory book emphasises algorithms and applications, such as cryptography and error correcting codes.

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.