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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 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 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 304 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 applications of PKC, including electronic cash, secret broadcasting, secret balloting systems, various banking and payment protocols, high security logins, smart cards, and biometrics. Moreover, he covers public-key infrastructure (PKI) and its various security applications. Throughout the book, Mollin gives a human face to cryptography by including nearly 40 biographies of the individuals who helped develop cryptographic concepts. He includes a number of illustrative and motivating examples, as well as optional topics that go beyond the basics, such as Lenstra's elliptic curve method and the number field sieve. From history and basic concepts to future trends and emerging applications, this book provides a rigorous and detailed treatment of public-key cryptography. Accessible to anyone from the senior undergraduate to the research scientist, RSA and Public-Key Cryptography offers challenging and inspirational material for all readers.
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 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 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 : Abhijit Das
Download or read book Public-key Cryptography written by Abhijit Das and published by Pearson Education India. This book was released on 2009 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Public-key Cryptography provides a comprehensive coverage of the mathematical tools required for understanding the techniques of public-key cryptography and cryptanalysis. Key topics covered in the book include common cryptographic primitives and symmetric techniques, quantum cryptography, complexity theory, and practical cryptanalytic techniques such as side-channel attacks and backdoor attacks.Organized into eight chapters and supplemented with four appendices, this book is designed to be a self-sufficient resource for all students, teachers and researchers interested in the field of cryptography.
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 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 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 2001-01-30 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 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 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.
Download or read book Modern Cryptography written by Wenbo Mao and published by Prentice Hall. This book was released on 2003-07-25 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for all graduate-level and advanced undergraduate courses in cryptography and related mathematical fields. Modern Cryptography is an indispensable resource for every advanced student of cryptography who intends to implement strong security in real-world applications. Leading HP security expert Wenbo Mao explains why conventional crypto schemes, protocols, and systems are profoundly vulnerable, introducing both fundamental theory and real-world attacks. Next, he shows how to implement crypto systems that are truly "fit for application," and formally demonstrate their fitness. He begins by reviewing the foundations of cryptography: probability, information theory, computational complexity, number theory, algebraic techniques, and more. He presents the "ideal" principles of authentication, comparing them with real-world implementation. Mao assesses the strength of IPSec, IKE, SSH, SSL, TLS, Kerberos, and other standards, and offers practical guidance on designing stronger crypto schemes and using formal methods to prove their security and efficiency. Finally, he presents an in-depth introduction to zero-knowledge protocols: their characteristics, development, arguments, and proofs. Mao relies on practical examples throughout, and provides all the mathematical background students will need.
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.
