密码学中的代数

Chapter 1 CryptographyChapter 2 Complexity of ComputationsChapter 3 AlgebraChapter 4 Hidden Monomial CryptosystemsChapter 5 Combinatorial-Algebraic CryptosystemsChapter 6 Elliptic and Hyperelliptic CryptosystemsAppendix.An Elementary Introduction to Hyperelliptic CcurvesAnswers to ExercisesBibliographySubject Index

《密码学中的代数》：This is a textbook for a course （or self-instruction） in cryptography with emphasison algebraic methods. The first half of the book is a self-contained informalintroduction to areas of algebra, number theory, and computer science that are usedin cryptography. Most of the material in the second half -"hidden monomial"systems, combinatorial-algebraic systems, and hyperelliptic systems - has notpreviously appeared in monograph form. The Appendix by Menezes, Wu, andZuccherato gives an elementary treatment of hyperelliptic curves. This book isintended for graduate students, advanced undergraduates, and scientists workingin various fields of data security."...I think this book is a very inspiring book on cryptography. It goes beyond thetraditional topics （most of the cryptosystems presented here are first time in atextbook, some of Patarin's work is not published yet）. This way the reader has thefeeling how easy to suggest a cryptosystem, how easy to break a safe looking systemand hence how hard to trust one. The interested readers are forced to think togetherwith their researchers and feel the joy of discovering new ideas. At the same timethe importance of "hardcore" mathematics is emphasized and hopefully some application driven students will be motivated to study theory. " 《密码学中的代数》内容简介：This book is intended as a text for a course on cryptography with emphasis onalgebraic methods. It is written so as to be accessible to graduate or advancedundergraduate students, as well as to scientists in other fields. The first threechapters form a self-contained introduction to basic concepts and techniques. Heremy approach is intuitive and informal. For example, the treatment of computationalcomplexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspectsof the subject that are most important in cryptography.【作者简介】作者：（美国）科比次（Neal Koblitz）