图书介绍

计算数论与现代密码学 英文版【2025|PDF下载-Epub版本|mobi电子书|kindle百度云盘下载】

计算数论与现代密码学 英文版
  • 颜松远著 著
  • 出版社： 北京：高等教育出版社
  • ISBN：9787040344714
  • 出版时间：2013
  • 标注页数：419页
  • 文件大小：61MB
  • 文件页数：432页
  • 主题词：数论－应用－密码算法－研究－英文

PDF下载


点此进入-本书在线PDF格式电子书下载【推荐-云解压-方便快捷】直接下载PDF格式图书。移动端-PC端通用
种子下载[BT下载速度快]温馨提示：（请使用BT下载软件FDM进行下载）软件下载地址页直链下载[便捷但速度慢]  [在线试读本书]   [在线获取解压码]
点击复制MD5值：1c446d58198868df2783abe41ef60215

下载说明

计算数论与现代密码学 英文版PDF格式电子书版下载

下载的文件为RAR压缩包。需要使用解压软件进行解压得到PDF格式图书。

点击复制85GB完整离线版磁力链接到迅雷FDM等BT下载工具进行下载  详情点击-查看共享计划
建议使用BT下载工具Free Download Manager进行下载,简称FDM(免费,没有广告,支持多平台）。本站资源全部打包为BT种子。所以需要使用专业的BT下载软件进行下载。如BitComet qBittorrent uTorrent等BT下载工具。迅雷目前由于本站不是热门资源。不推荐使用！后期资源热门了。安装了迅雷也可以迅雷进行下载！

（文件页数 要大于 标注页数，上中下等多册电子书除外）

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

图书目录

Part Ⅰ Preliminaries3

1 Introduction3

1.1 What is Number Theory?3

1.2 What is Computation Theory?9

1.3 What is Computational Number Theory?15

1.4 What is Modern Cryptography?29

1.5 Bibliographic Notes and Further Reading32

References32

2 Fundamentals35

2.1 Basic Algebraic Structures35

2.2 Divisibility Theory46

2.3 Arithmetic Functions75

2.4 Congruence Theory89

2.5 Primitive Roots131

2.6 Elliptic Curves141

2.7 Bibliographic Notes and Further Reading154

References155

Part Ⅱ Computational Number Theory159

3 Primality Testing159

3.1 BasicTests159

3.2 Miller-Rabin Test168

3.3 Elliptic Curve Tests173

3.4 AKS Test178

3.5 Bibliographic Notes and Further Reading187

References188

4 Integer Factorization191

4.1 Basic Concepts191

4.2 Trial Divisions Factoring194

4.3 ρ and P-1 Methods198

4.4 Elliptic Curve Method205

4.5 Continued Fraction Method209

4.6 Quadratic Sieve214

4.7 Number Field Sieve219

4.8 Bibliographic Notes and Further Reading231

References232

5 Discrete Logarithms235

5.1 Basic Concepts235

5.2 Baby-Step Giant-Step Method237

5.3 Pohlig-Hellman Method240

5.4 Index Calculus246

5.5 Elliptic Curve Discrete Logarithms251

5.6 Bibliographic Notes and Further Reading260

References261

Part Ⅲ Modern Cryptography265

6 Secret-Key Cryptography265

6.1 Cryptography and Cryptanalysis265

6.2 Classic Secret-Key Cryptography277

6.3 Modern Secret-Key Cryptography285

6.4 Bibliographic Notes and Further Reading291

References291

7 Integer Factorization Based Cryptography293

7.1 RSA Cryptography293

7.2 Cryptanalysis of RSA302

7.3 Rabin Cryptography319

7.4 Residuosity Based Cryptography326

7.5 Zero-Knowledge Proof331

7.6 Bibliographic Notes and Further Reading335

References335

8 Discrete Logarithm Based Cryptography337

8.1 Diffie-Hellman--Merkle Key-Exchange Protocol337

8.2 E1Gamal Cryptography342

8.3 Massey-Omura Cryptography344

8.4 DLP-Based Digital Signatures348

8.5 Bibliographic Notes and Further Reading351

References351

9 Elliptic Curve Discrete Logarithm Based Cryptography353

9.1 Basic Ideas353

9.2 Elliptic Curve Diffie-Hellman-Merkle Key Exchange Scheme356

9.3 Elliptic Curve Massey-Omura Cryptography360

9.4 Elliptic Curve ElGamal Cryptography365

9.5 Elliptic Curve RSA Cryptosystem370

9.6 Menezes-Vanstone Elliptic Curve Cryptography371

9.7 Elliptic Curve DSA373

9.8 Bibliographic Notes and Further Reading374

References375

Part Ⅳ Quantum Resistant Cryptography379

10 Quantum Computational Number Theory379

10.1 Quantum Algorithms for Order Finding379

10.2 Quantum Algorithms for Integer Factorization385

10.3 Quantum Algorithms for Discrete Logarithms390

10.4 Quantum Algorithms for Elliptic Curve Discrete Logarithms393

10.5 Bibliographic Notes and Further Reading397

References397

11 Quantum Resistant Cryptography401

11.1 Coding-Based Cryptography401

11.2 Lattice-Based Cryptography403

11.3 Quantum Cryptography404

11.4 DNA Biological Cryptography406

11.5 Bibliographic Notes and Further Reading409

References410

Index413

热门推荐