Algebraic Aspects of Cryptography - Couverture souple

Koblitz, Neal

Couverture souple

ISBN 10 : 3642083323 ISBN 13 : 9783642083327

Editeur : Springer, 2010

Synopsis

This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for the most part has not previously appeared in textbook form. A novel feature is the inclusion of three types of cryptography - "hidden monomial" systems, combinatorial-algebraic sys- tems, and hyperelliptic systems - that are at an early stage of development. It is too soon to know which, if any, of these cryptosystems will ultimately be of practical use. But in the rapidly growing field of cryptography it is worthwhile to continually explore new one-way constructions coming from different areas of mathematics. Perhaps some of the readers will contribute to the research that still needs to be done. This book is designed not as a comprehensive reference work, but rather as a selective textbook. The many exercises (with answers at the back of the book) make it suitable for use in a math or computer science course or in a program of independent study.

A propos du livre

Revue de presse

"... 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." --M.V.D.Burmester, Mathematical Reviews 2002

"... Overall, the book is highly recommended to everyone who has the requisite mathematical sophistication." --E.Leiss, Computing Reviews 1998

"... I think this book is a very inspiring book on cryptography. It goes beyond the traditional topics (most of the cryptosystems presented here are first time in a textbook, some of Paturi's work is not published yet). This way the reader has the feeling how easy to suggest a cryptosystem, how easy to break a safe looking system and hence how hard to trust one. The interested readers are forced to think together with ther researchers and feel the joy of discovering new ideas. At the same time the importance of "hardcore" mathematics is emphasized and hopefully some application driven students will be motivated to study theory." --Péter Hajnal, Acta Scientiarum Mathematicarum, 64.1998

Présentation de l'éditeur

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

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2010
• ISBN 10: 3642083323
• ISBN 13: 9783642083327
• Reliure: Broché
• Langue: anglais
• Nombre de pages: 220
• Coordonnées du fabricant: non disponible