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Mathematical Foundations Of Public Key Cryptography
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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.
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 236 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
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.
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.
Book Synopsis Introduction to Cryptography by : Hans Delfs
Download or read book Introduction to Cryptography written by Hans Delfs and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers key concepts of cryptography, from encryption and digital signatures to cryptographic protocols, presenting techniques and protocols for key exchange, user ID, electronic elections and digital cash. Advanced topics include bit security of one-way functions and computationally perfect pseudorandom bit generators. Assuming no special background in mathematics, it includes chapter-ending exercises and the necessary algebra, number theory and probability theory in the appendix. This edition offers new material including a complete description of the AES, a section on cryptographic hash functions, new material on random oracle proofs, and a new section on public-key encryption schemes that are provably secure against adaptively-chosen-ciphertext attacks.
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
Book Synopsis Public-Key Cryptography and Computational Number Theory by : Kazimierz Alster
Download or read book Public-Key Cryptography and Computational Number Theory written by Kazimierz Alster and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 . This book was released on 2020-07-28 with total page 670 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.~~~~~~~~~~~~~~~~~~~~~~~~~BRIEF TABLE OF CONTENTS:PrefaceChapter 1: An Overview of the SubjectChapter 2: Divisibility and Modular ArithmeticChapter 3: The Evolution of Codemaking Until the Computer EraChapter 4: Matrices and the Hill CryptosystemChapter 5: The Evolution of Codebreaking Until the Computer EraChapter 6: Representation and Arithmetic of Integers in Different Bases Chapter 7: Block Cryptosystems and the Data Encryption Standard (DES)Chapter 8: Some Number Theory and AlgorithmsChapter 9: Public Key CryptographyChapter 10: Finite Fields in General, and GF(256) in ParticularChapter 11: The Advanced Encryption Standard Protocol (AES)Chapter 12: Elliptic Curve CryptographyAppendix A: Sets and Basic Counting PrinciplesAppendix B: Randomness and ProbabilityAppendix C: Solutions to all Exercises for the ReaderAppendix D: Answers to Selected ExercisesReferencesIndex~~~~~~~~~~~~~~~~~~~~~~~~~EDITORIAL REVIEWS:This book is a very comprehensible introduction to cryptography. It will be very suitable for undergraduate students. There is adequate material in the book for teaching one or two courses on cryptography. The author has provided many mathematically oriented as well as computer-based exercises. I strongly recommend this book as an introductory book on cryptography for undergraduates.―IACR Book Reviews, April 2011... a particularly good entry in a crowded field. ... As someone who has taught cryptography courses in the past, I was particularly impressed with the scaled-down versions of DES and AES that the author describes ... . Stanoyevitch's writing style is clear and engaging, and the book has many examples illustrating the mathematical concepts throughout. ... One of the many smart decisions that the author made was to also include many computer implementations and exercises at the end of each chapter. ... It is also worth noting that he has many MATLAB implementations on his website. ... It is clear that Stanoyevitch designed this book to be used by students and that he has taught this type of student many times before. The book feels carefully structured in a way that builds nicely ... it is definitely a solid choice and will be on the short list of books that I would recommend to a student wanting to learn about the field.―MAA Reviews, May 2011
Book Synopsis Public-Key Cryptography by : Arto Salomaa
Download or read book Public-Key Cryptography written by Arto Salomaa and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptography, secret writing, is enjoying a scientific renaissance following the seminal discovery in 1977 of public-key cryptography and applications in computers and communications. This book gives a broad overview of public-key cryptography - its essence and advantages, various public-key cryptosystems, and protocols - as well as a comprehensive introduction to classical cryptography and cryptoanalysis. The second edition has been revised and enlarged especially in its treatment of cryptographic protocols. From a review of the first edition: "This is a comprehensive review ... there can be no doubt that this will be accepted as a standard text. At the same time, it is clearly and entertainingly written ... and can certainly stand alone." Alex M. Andrew, Kybernetes, March 1992
Book Synopsis A Course in Mathematical Cryptography by : Gilbert Baumslag
Download or read book A Course in Mathematical Cryptography written by Gilbert Baumslag and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-06-16 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is mathematical cryptography. By this we mean the mathematics involved in cryptographic protocols. As the field has expanded, using both commutative and noncommutative algebraic objects as cryptographic platforms, a book describing and explaining all these mathematical methods is of immeasurable value.
Book Synopsis A Course in Cryptography by : Heiko Knospe
Download or read book A Course in Cryptography written by Heiko Knospe and published by American Mathematical Soc.. This book was released on 2019-09-27 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compact course in modern cryptography. The mathematical foundations in algebra, number theory and probability are presented with a focus on their cryptographic applications. The text provides rigorous definitions and follows the provable security approach. The most relevant cryptographic schemes are covered, including block ciphers, stream ciphers, hash functions, message authentication codes, public-key encryption, key establishment, digital signatures and elliptic curves. The current developments in post-quantum cryptography are also explored, with separate chapters on quantum computing, lattice-based and code-based cryptosystems. Many examples, figures and exercises, as well as SageMath (Python) computer code, help the reader to understand the concepts and applications of modern cryptography. A special focus is on algebraic structures, which are used in many cryptographic constructions and also in post-quantum systems. The essential mathematics and the modern approach to cryptography and security prepare the reader for more advanced studies. The text requires only a first-year course in mathematics (calculus and linear algebra) and is also accessible to computer scientists and engineers. This book is suitable as a textbook for undergraduate and graduate courses in cryptography as well as for self-study.
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.
Book Synopsis Advances in Elliptic Curve Cryptography by : Ian F. Blake
Download or read book Advances in Elliptic Curve Cryptography written by Ian F. Blake and published by Cambridge University Press. This book was released on 2005-04-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.
Book Synopsis Number-Theoretic Methods in Cryptology by : Jerzy Kaczorowski
Download or read book Number-Theoretic Methods in Cryptology written by Jerzy Kaczorowski and published by Springer. This book was released on 2018-03-09 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-conference proceedings of the First International Conference on Number-Theoretic Methods in Cryptology, NuTMiC 2017, held in Warsaw, Poland, in September 2017.The 15 revised full papers presented in this book together with 3 invited talks were carefully reviewed and selected from 32 initial submissions. The papers are organized in topical sections on elliptic curves in cryptography; public-key cryptography; lattices in cryptography; number theory; pseudorandomness; and algebraic structures and analysis.
Book Synopsis Public Key Cryptography by : Kwangjo Kim
Download or read book Public Key Cryptography written by Kwangjo Kim and published by Springer. This book was released on 2003-06-29 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Workshop on Practice and Theory in Public Key Cryptography, PKC 2001, held in Cheju Island, Korea in February 2001. The 30 revised full papers presented were carefully reviewed and selected from 67 submissions. The papers address all current issues in public key cryptography, ranging from mathematical foundations to implementation issues.
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 538 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.
Book Synopsis Cryptography Made Simple by : Nigel Smart
Download or read book Cryptography Made Simple written by Nigel Smart and published by Springer. This book was released on 2015-11-12 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this introductory textbook the author explains the key topics in cryptography. He takes a modern approach, where defining what is meant by "secure" is as important as creating something that achieves that goal, and security definitions are central to the discussion throughout. The author balances a largely non-rigorous style — many proofs are sketched only — with appropriate formality and depth. For example, he uses the terminology of groups and finite fields so that the reader can understand both the latest academic research and "real-world" documents such as application programming interface descriptions and cryptographic standards. The text employs colour to distinguish between public and private information, and all chapters include summaries and suggestions for further reading. This is a suitable textbook for advanced undergraduate and graduate students in computer science, mathematics and engineering, and for self-study by professionals in information security. While the appendix summarizes most of the basic algebra and notation required, it is assumed that the reader has a basic knowledge of discrete mathematics, probability, and elementary calculus.
