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.
网站首页 软件下载 游戏下载 翻译软件 电子书下载 电影下载 电视剧下载 教程攻略 音乐专区
霍普软件下载网电子书栏目提供海量电子书在线免费阅读及下载。
| 电子书 | 密码学中的代数/数学图书影印版系列 |
| 分类 | 电子书下载 |
| 作者 | (美)科比茨 |
| 出版社 | 清华大学出版社 |
| 下载 |
|
| 介绍 |
编辑推荐 目录 Chapter 1. Cryptography §1. Early History §2. The Idea of Public Key Cryptography §3. The RSA Cryptosystem §4. Diffie-Hellman and the Digital Signature Algorithm §5. Secret Sharing, Coin Flipping, and Time Spent on Homework §6. Passwords, Signatures, and Ciphers §7. Practical Cryptosystems and Useful Impractical Ones Exercises Chapter 2. Complexity of Computations § 1. The Big-O Notation Exercises §2. Length of Numbers Exercises §3. Time Estimates Exercises §4. P, NP, and NP-Completeness Exercises §5. Promise Problems §6. Randomized Algorithms and Complexity Classes Exercises §7. Some Other Complexity Classes Exercises Chapter 3. Algebra §1. Fields Exercises §2. Finite Fields Exercises §3. The Euclidean Algorithm for Polynomials Exercises §4. Polynomial Rings Exercises §5. Grobner Bases Exercises Chapter 4. Hidden Monomial Cryptosystems §1. The Imai-Matsumoto System Exercises §2. Patarin's Little Dragon Exercises §3. Systems That Might Be More Secure Exercises Chapter 5. Combinatorial-Algebraic Cryptosystems §1. History §2. Irrelevance of Brassard's Theorem Exercises §3. Concrete Combinatorial-Algebraic Systems Exercises §4. The Basic Computational Algebra Problem Exercises §5. Cryptographic Version of Ideal Membership §6. Linear Algebra Attacks §7. Designing a Secure System Chapter 6. Elliptic and Hyperelliptic Cryptosystems §1. Elliptic Curves Exercises §2. Elliptic Curve Cryptosystems Exercises §3. Elliptic Curve Analogues of Classical Number Theory Problems Exercises §4. Cultural Background: Conjectures on Elliptic Curves and Surprising Relations with Other Problems §5. Hyperelliptic Curves Exercises §6. Hyperelliptic Cryptosystems Exercises Appendix. An Elementary Introduction to Hyperelliptic Curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato §1. Basic Definitions and Properties §2. Polynomial and Rational Functions §3. Zeros and Poles §4. Divisors §5. Representing Semi-Reduced Divisors §6. Reduced Divisors §7. Adding Reduced Divisors Exercises Answers to Exercises Bibliography Subject Index |
| 截图 | |
| 随便看 |
免责声明
本网站所展示的内容均来源于互联网，本站自身不存储、不制作、不上传任何内容，仅对网络上已公开的信息进行整理与展示。
本站不对所转载内容的真实性、完整性和合法性负责，所有内容仅供学习与参考使用。
若您认为本站展示的内容可能存在侵权或违规情形，请您提供相关权属证明与联系方式，我们将在收到有效通知后第一时间予以删除或屏蔽。
本网站对因使用或依赖本站信息所造成的任何直接或间接损失概不承担责任。联系邮箱：101bt@pm.me