Discrete Mathematics With Cryptographic Applications

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Discrete Mathematics With Cryptographic Applications

Author : Alexander I. Kheyfits
Publisher : Mercury Learning and Information
ISBN 13 : 1683927613
Total Pages : 402 pages
Book Rating : 4.6/5 (839 download)

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Book Synopsis Discrete Mathematics With Cryptographic Applications by : Alexander I. Kheyfits

Download or read book Discrete Mathematics With Cryptographic Applications written by Alexander I. Kheyfits and published by Mercury Learning and Information. This book was released on 2021-09-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers discrete mathematics both as it has been established after its emergence since the middle of the last century and as its elementary applications to cryptography. It can be used by any individual studying discrete mathematics, finite mathematics, and similar subjects. Any necessary prerequisites are explained and illustrated in the book. As a background of cryptography, the textbook gives an introduction into number theory, coding theory, information theory, that obviously have discrete nature. FEATURES: Designed in a “self-teaching” format, the book includes about 600 problems (with and without solutions) and numerous examples of cryptography Covers cryptography topics such as CRT, affine ciphers, hashing functions, substitution ciphers, unbreakable ciphers, Discrete Logarithm Problem (DLP), and more.

Introduction to Cryptography with Mathematical Foundations and Computer Implementations

Author : Alexander Stanoyevitch
Publisher : CRC Press
ISBN 13 : 1439817634
Total Pages : 646 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Introduction to Cryptography with Mathematical Foundations and Computer Implementations by : Alexander Stanoyevitch

Download or read book Introduction to Cryptography with Mathematical Foundations and Computer Implementations written by Alexander Stanoyevitch and published by CRC Press. This book was released on 2010-08-09 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundations and Computer Implementations provides a focused tour of the central concepts of cryptography. Rather than present an encyclopedic treatment of topics in cryptography, it delineates cryptographic concepts in chronological order, developing the mathematics as needed. Written in an engaging yet rigorous style, each chapter introduces important concepts with clear definitions and theorems. Numerous examples explain key points while figures and tables help illustrate more difficult or subtle concepts. Each chapter is punctuated with "Exercises for the Reader;" complete solutions for these are included in an appendix. Carefully crafted exercise sets are also provided at the end of each chapter, and detailed solutions to most odd-numbered exercises can be found in a designated appendix. The computer implementation section at the end of every chapter guides students through the process of writing their own programs. A supporting website provides an extensive set of sample programs as well as downloadable platform-independent applet pages for some core programs and algorithms. As the reliance on cryptography by business, government, and industry continues and new technologies for transferring data become available, cryptography plays a permanent, important role in day-to-day operations. This self-contained sophomore-level text traces the evolution of the field, from its origins through present-day cryptosystems, including public key cryptography and elliptic curve cryptography.

Handbook of Applied Cryptography

Author : Alfred J. Menezes
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.

Modern Discrete Mathematics and Analysis

Author : Nicholas J. Daras
Publisher : Springer
ISBN 13 : 3319743252
Total Pages : 516 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modern Discrete Mathematics and Analysis by : Nicholas J. Daras

Download or read book Modern Discrete Mathematics and Analysis written by Nicholas J. Daras and published by Springer. This book was released on 2018-07-05 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

Introduction to Cryptography with Open-Source Software

Author : Alasdair McAndrew
Publisher : CRC Press
ISBN 13 : 1439825718
Total Pages : 456 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Introduction to Cryptography with Open-Source Software by : Alasdair McAndrew

Download or read book Introduction to Cryptography with Open-Source Software written by Alasdair McAndrew and published by CRC Press. This book was released on 2016-04-19 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once the privilege of a secret few, cryptography is now taught at universities around the world. Introduction to Cryptography with Open-Source Software illustrates algorithms and cryptosystems using examples and the open-source computer algebra system of Sage. The author, a noted educator in the field, provides a highly practical learning experienc

RSA and Public-Key Cryptography

Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 142003524X
Total Pages : 305 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis RSA and Public-Key Cryptography by : Richard A. Mollin

Download or read book RSA and Public-Key Cryptography written by Richard A. Mollin and published by CRC Press. This book was released on 2002-11-12 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although much literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level. Acclaimed author Richard A. Mollin brings together all of the relevant information available on public-key cryptography (PKC), from RSA to the latest applic

Elliptic Curves

Author : Lawrence C. Washington
Publisher : CRC Press
ISBN 13 : 1420071475
Total Pages : 533 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Elliptic Curves by : Lawrence C. Washington

Download or read book Elliptic Curves written by Lawrence C. Washington and published by CRC Press. This book was released on 2008-04-03 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 application

Cryptology

Author : Richard Klima
Publisher : CRC Press
ISBN 13 : 1351692534
Total Pages : 372 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Cryptology by : Richard Klima

Download or read book Cryptology written by Richard Klima and published by CRC Press. This book was released on 2018-12-07 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Playfair, ADFGVX, Alberti, Vigene re, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods. The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book.

Secret History

Author : Craig P. Bauer
Publisher : CRC Press
ISBN 13 : 1466561874
Total Pages : 603 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Secret History by : Craig P. Bauer

Download or read book Secret History written by Craig P. Bauer and published by CRC Press. This book was released on 2016-04-19 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of an Outstanding Academic Title Award from CHOICE MagazineMost available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret History: The Story of Cryptology gives a thorough yet accessible treatment of both the mathematics and history of cryptology. Requiring minimal mathematical prerequisites, the

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.

An Introduction to Cryptography

Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 1420011243
Total Pages : 413 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis An Introduction to Cryptography by : Richard A. Mollin

Download or read book An Introduction to Cryptography written by Richard A. Mollin and published by CRC Press. This book was released on 2006-09-18 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field. With numerous additions and restructured material, this edition

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.

Logic and Discrete Mathematics

Author : Willem Conradie
Publisher : John Wiley & Sons
ISBN 13 : 1119000106
Total Pages : 195 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Logic and Discrete Mathematics by : Willem Conradie

Download or read book Logic and Discrete Mathematics written by Willem Conradie and published by John Wiley & Sons. This book was released on 2015-05-08 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.

A Course in Number Theory and Cryptography

Author : Neal Koblitz
Publisher : Springer Science & Business Media
ISBN 13 : 1441985921
Total Pages : 245 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Course in Number Theory and Cryptography by : Neal Koblitz

Download or read book A Course in Number Theory and Cryptography written by Neal Koblitz and published by Springer Science & Business Media. This book was released on 2012-09-05 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Algebraic Methods

Author : Volker Diekert
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110416328
Total Pages : 424 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Discrete Algebraic Methods by : Volker Diekert

Download or read book Discrete Algebraic Methods written by Volker Diekert and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-05-24 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents: Algebraic structures Cryptography Number theoretic algorithms Polynomial time primality test Elliptic curves Combinatorics on words Automata Discrete infinite groups

Advanced Number Theory with Applications

Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 1420083295
Total Pages : 440 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Advanced Number Theory with Applications by : Richard A. Mollin

Download or read book Advanced Number Theory with Applications written by Richard A. Mollin and published by CRC Press. This book was released on 2009-08-26 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and mo

Bent Functions

Author : Natalia Tokareva
Publisher : Academic Press
ISBN 13 : 0128025557
Total Pages : 221 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Bent Functions by : Natalia Tokareva

Download or read book Bent Functions written by Natalia Tokareva and published by Academic Press. This book was released on 2015-08-24 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bent Functions: Results and Applications to Cryptography offers a unique survey of the objects of discrete mathematics known as Boolean bent functions. As these maximal, nonlinear Boolean functions and their generalizations have many theoretical and practical applications in combinatorics, coding theory, and cryptography, the text provides a detailed survey of their main results, presenting a systematic overview of their generalizations and applications, and considering open problems in classification and systematization of bent functions. The text is appropriate for novices and advanced researchers, discussing proofs of several results, including the automorphism group of bent functions, the lower bound for the number of bent functions, and more. - Provides a detailed survey of bent functions and their main results, presenting a systematic overview of their generalizations and applications - Presents a systematic and detailed survey of hundreds of results in the area of highly nonlinear Boolean functions in cryptography - Appropriate coverage for students from advanced specialists in cryptography, mathematics, and creators of ciphers