Cryptography and Computational Number Theory, Kwok Y. Lam; Igor Shparlinski; Huaxiong Wang; Chao
Автор: Neal Koblitz Название: A Course in Number Theory and Cryptography ISBN: 1461264421 ISBN-13(EAN): 9781461264422 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Yan Song Y Название: Computational Number Theory and Modern Cryptography ISBN: 1118188586 ISBN-13(EAN): 9781118188583 Издательство: Wiley Рейтинг: Цена: 13139.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: * Makes deep mathematical problems accessible to computer scientists and engineers * Based on classroom tested materials used in the US, UK and China * Exercises included in every chapter * Instructor resources available on the book s Companion Website .
Автор: Wieb Bosma; Alf van der Poorten Название: Computational Algebra and Number Theory ISBN: 9048145600 ISBN-13(EAN): 9789048145607 Издательство: Springer Рейтинг: Цена: 27944.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Computers have stretched the limits of what is possible in mathematics. More: they have given rise to new fields of mathematical study; the analysis of new and traditional algorithms, the creation of new paradigms for implementing computational methods, the viewing of old techniques from a concrete algorithmic vantage point, to name but a few. Computational Algebra and Number Theory lies at the lively intersection of computer science and mathematics. It highlights the surprising width and depth of the field through examples drawn from current activity, ranging from category theory, graph theory and combinatorics, to more classical computational areas, such as group theory and number theory. Many of the papers in the book provide a survey of their topic, as well as a description of present research. Throughout the variety of mathematical and computational fields represented, the emphasis is placed on the common principles and the methods employed. Audience: Students, experts, and those performing current research in any of the topics mentioned above.
Автор: Henri Cohen Название: Advanced Topics in Computational Number Theory ISBN: 0387987274 ISBN-13(EAN): 9780387987279 Издательство: Springer Рейтинг: Цена: 9362.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory.
Автор: Song Y. Yan Название: Quantum Computational Number Theory ISBN: 3319258214 ISBN-13(EAN): 9783319258218 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The author discusses quantum algorithms for solving the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP), and the Elliptic Curve Discrete Logarithm Problem (ECDLP) and for attacking IFP, DLP and ECDLP based cryptographic systems.
Автор: Henri Cohen Название: Advanced Topics in Computational Number Theory ISBN: 1461264197 ISBN-13(EAN): 9781461264194 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations. The practical com- pletion of this task (sometimes known as the Dedekind program) has been one of the major achievements of computational number theory in the past ten years, thanks to the efforts of many people. Even though some practical problems still exist, one can consider the subject as solved in a satisfactory manner, and it is now routine to ask a specialized Computer Algebra Sys- tem such as Kant/Kash, liDIA, Magma, or Pari/GP, to perform number field computations that would have been unfeasible only ten years ago. The (very numerous) algorithms used are essentially all described in A Course in Com- putational Algebraic Number Theory, GTM 138, first published in 1993 (third corrected printing 1996), which is referred to here as CohO]. That text also treats other subjects such as elliptic curves, factoring, and primality testing. Itis important and natural to generalize these algorithms. Several gener- alizations can be considered, but the most important are certainly the gen- eralizations to global function fields (finite extensions of the field of rational functions in one variable overa finite field) and to relative extensions ofnum- ber fields. As in CohO], in the present book we will consider number fields only and not deal at all with function fields.
Автор: Henri Cohen Название: A Course in Computational Algebraic Number Theory ISBN: 3642081428 ISBN-13(EAN): 9783642081422 Издательство: Springer Рейтинг: Цена: 9077.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With the advent of powerful computing tools and numerous advances in math- ematics, computer science and cryptography, algorithmic number theory has become an important subject in its own right. Both external and internal pressures gave a powerful impetus to the development of more powerful al- gorithms. These in turn led to a large number of spectacular breakthroughs. To mention but a few, the LLL algorithm which has a wide range of appli- cations, including real world applications to integer programming, primality testing and factoring algorithms, sub-exponential class group and regulator algorithms, etc ... Several books exist which treat parts of this subject. (It is essentially impossible for an author to keep up with the rapid pace of progress in all areas of this subject.) Each book emphasizes a different area, corresponding to the author's tastes and interests. The most famous, but unfortunately the oldest, is Knuth's Art of Computer Programming, especially Chapter 4. The present book has two goals. First, to give a reasonably comprehensive introductory course in computational number theory. In particular, although we study some subjects in great detail, others are only mentioned, but with suitable pointers to the literature. Hence, we hope that this book can serve as a first course on the subject. A natural sequel would be to study more specialized subjects in the existing literature.
Автор: M.E. Pohst Название: Computational Algebraic Number Theory ISBN: 3764329130 ISBN-13(EAN): 9783764329136 Издательство: Springer Рейтинг: Цена: 4186.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. This book emphasizes practical algorithms for the computation of integral bases, the unit group and the class group of arbitrary algebraic number fields.
Автор: Marc Fischlin; Stefan Katzenbeisser Название: Number Theory and Cryptography ISBN: 3642420001 ISBN-13(EAN): 9783642420009 Издательство: Springer Рейтинг: Цена: 6429.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Published to honor the work of cryptographer and number theorist Johannes Buchmann, this festschrift celebrates his 60th birthday and platforms a wide variety of contributions that cover the full spectrum of his astonishing variety of research interests.
Автор: Wieb Bosma; Alf van der Poorten Название: Computational Algebra and Number Theory ISBN: 0792335015 ISBN-13(EAN): 9780792335016 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text discusses the impact of computer applications on mathematical study. Topics discussed include: the analysis of algorithms; the creation of new paradigms for implementing computational methods; and the viewing of old methods from a concrete algorithmic vantage point.
Автор: Stinson, Douglas R. Название: Cryptography: Theory and Practice, Third Edition ISBN: 1584885084 ISBN-13(EAN): 9781584885085 Издательство: Taylor&Francis Рейтинг: Цена: 7501.00 р. Наличие на складе: Поставка под заказ.
Описание: This third edition of a standard text provides complete coverage of the use of cryptographic protocols which establish a series of steps that must be taken before any type of secret transmission can be completed. The book shows the reader how the various parties to the transaction establish their cryptographic identities or keys. It covers many of the cryptographic tools used in network security along with topic such as copyright protection techniques and public key infrastructure. The book is a text for senior graduate courses introducing cryptography and is also a useful reference for professionals interested in network security and cryptographic protocols.
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