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密码导论及编码原理(影印版)(美)TrappeW. 等
内容提要: 本书的一个重要特色——它覆盖的范围相当广泛。本书前8章涵盖了密码学的主要领域:经典密码理论、基础数论、RSA算法与数字签名等。本书后9章讲述了密钥共享方案、游戏理论、信息论、电子商务、数字钞票与“零知识”技术等等。在附录部分,作者给出了分别用Mathematica、Maple和MATLAB实现算法的事例。 本书可作为高年级本科生和研究生的有关密码学与网络安全及相关专业的教材。 目录: Preface 1 Overview 1.1 Secure Communications 1.2 Cryptographic Applications 2 Classical Cryptosystems 2.1 Shift Ciphers 2.2 Affine Ciphers 2.3 The Vigenere Cipher 2.4 Substitution Ciphers 2.5 Sherlock Holmes 2.6 The Playfair and ADFGX Ciphers 2.7 Block Ciphers 2.8 Binary Numbers and ASCII 2.9 One-Time Pads 2.10 Pseudo-random Bit Generation 2.11 Linear Feedback Shift Register Sequences 2.12 Enigma 2.13 Exercise 2.14 Computer Problems 3 Basic Number Theory 3.1 Basic Notions 3.2 Soluing ax+by=d 3.3 Congruences 3.4 The Chinese Remainder Theorem 3.5 Modular Exponentiation 3.6 Fermat and Euler 3.7 Primitive Roots 3.8 Inverting Matrices Mod n 3.9 Square Roots Mod n 3.10 Finite Fields 3.11 Exercises 3.12 Computer Problems 4 The Data Encryption Standard 4.1 Introduction 4.2 A Simplified DES-Type Algorithm 4.3 Differential Cryptanalysis 4.4 DES 4.5 Modes of Operation 4.6 Breaking DES 4.7 Password Security 4.8 Exercises 5 AES:Rijndael 5.1 The Basic Algorithm 5.2 The Layers 5.3 Deciryption 5.4 Design Considerations 6 The RBA Algorithm 6.1 The RSA Algorithm 6.2 Attacks on RSA 6.3 Primality Testing 6.4 Factoring 6.5 The RSA Challenge 6.6 An Application to Treaty Verification 6.7 The Public Key Concept 6.8 Exercises 6.9 Computer Problems 7 Discrete Logarithms 7.1 Discrete Logarithms 7.2 Computing Discrete Logs 7.3 Bit Commitment 7.4 The ElGamal Public Key Cryptosystem 7.5 Exercises 7.6 Computer Problems 8 Digital Signatures 8.1 RSA Signatures 8.2 The ElGamal Signature Scheme 8.3 Hash Functions 8.4 Birthday Attacks 8.5 The Digital Signature Algorithm 8.6 Exercises 8.7 Computer Problems 9 E-Commerce and Digital Cash 10 Secret Sharing Schemes 11 Games 12 Zero-Knowledge Techniques 13 Key Establishment Protocols 14 Information Theory 15 Elliptic Curves 16 Error Correcting Codes 17 Quantum Cryptography A Mathematica B Maple Examples C MATLAB Examples D Further Reading Bibliography Index
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