Table of Contents
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List of Figures
Foreword by R.L. Rivest
1 Overview of Cryptography
1.1 Introduction
1.2 Information security and cryptography
1.3 Background on functions
1.4 Basic terminology and concepts
1.5 Symmetric-key encryption
1.6 Digital signatures
1.7 Authentication and identification
1.8 Public-key cryptography
1.9 Hash functions
1.10 Protocols and mechanisms
1.11 Key establishment, management, and certification
1.12 Pseudorandom numbers and sequences
1.13 Classes of attacks and security models
1.14 Notes and further references2 Mathematical Background
2.1 Probability theory
2.2 Information theory
2.3 Complexity theory
2.4 Number theory
2.5 Abstract algebra
2.6 Finite fields
2.7 Notes and further references3 Number-Theoretic Reference Problems
3.1 Introduction and overview
3.2 The integer factorization problem
3.3 The RSA problem
3.4 The quadratic residuosity problem
3.5 Computing square roots in Zn
3.6 The discrete logarithm problem
3.7 The Diffie-Hellman problem
3.8 Composite moduli
3.9 Computing individual bits
3.10 The subset sum problem
3.11 Factoring polynomials over finite fields
3.12 Notes and further references4 Public-Key Parameters
4.1 Introduction
4.2 Probabilistic primality tests
4.3 (True) Primality tests
4.4 Prime number generation
4.5 Irreducible polynomials over Zp
4.6 Generators and elements of high order
4.7 Notes and further references5 Pseudorandom Bits and Sequences
5.1 Introduction
5.2 Random bit generation
5.3 Pseudorandom bit generation
5.4 Statistical tests
5.5 Cryptographically secure pseudorandom bit generation
5.6 Notes and further references6 Stream Ciphers
6.1 Introduction
6.2 Feedback shift registers
6.3 Stream ciphers based on LFSRs
6.4 Other stream ciphers
6.5 Notes and further references7 Block Ciphers
7.1 Introduction and overview
7.2 Background and general concepts
7.3 Classical ciphers and historical development
7.4 DES
7.5 FEAL
7.6 IDEA
7.7 SAFER, RC5, and other block ciphers
7.8 Notes and further references8 Public-Key Encryption
8.1 Introduction
8.2 RSA public-key encryption
8.3 Rabin public-key encryption
8.4 ElGamal public-key encryption
8.5 McEliece public-key encryption
8.6 Knapsack public-key encryption
8.7 Probabilistic public-key encryption
8.8 Notes and further references9 Hash Functions and Data Integrity
9.1 Introduction
9.2 Classification and framework
9.3 Basic constructions and general results
9.4 Unkeyed hash functions (MDCs)
9.5 Keyed hash functions (MACs)
9.6 Data integrity and message authentication
9.7 Advanced attacks on hash functions
9.8 Notes and further references10 Identification and Entity Authentication
10.1 Introduction
10.2 Passwords (weak authentication)
10.3 Challenge-response identification (strong authentication)
10.4 Customized and zero-knowledge identification protocols
10.5 Attacks on identification protocols
10.6 Notes and further references11 Digital Signatures
11.1 Introduction
11.2 A framework for digital signature mechanisms
11.3 RSA and related signature schemes
11.4 Fiat-Shamir signature schemes
11.5 The DSA and related signature schemes
11.6 One-time digital signatures
11.7 Other signature schemes
11.8 Signatures with additional functionality
11.9 Notes and further references12 Key Establishment Protocols
12.1 Introduction
12.2 Classification and framework
12.3 Key transport based on symmetric encryption
12.4 Key agreement based on symmetric techniques
12.5 Key transport based on public-key encryption
12.6 Key agreement based on asymmetric techniques
12.7 Secret sharing
12.8 Conference keying
12.9 Analysis of key establishment protocols
12.10 Notes and further references13 Key Management Techniques
13.1 Introduction
13.2 Background and basic concepts
13.3 Techniques for distributing confidential keys
13.4 Techniques for distributing public keys
13.5 Techniques for controlling key usage
13.6 Key management involving multiple domains
13.7 Key life cycle issues
13.8 Advanced trusted third party services
13.9 Notes and further references14 Efficient Implementation
14.1 Introduction
14.2 Multiple-precision integer arithmetic
14.3 Multiple-precision modular arithmetic
14.4 Greatest common divisor algorithms
14.5 Chinese remainder theorem for integers
14.6 Exponentiation
14.7 Exponent recoding
14.8 Notes and further references15 Patents and Standards
15.1 Introduction
15.2 Patents on cryptographic techniques
15.3 Cryptographic standards
15.4 Notes and further referencesA Bibliography of Papers from Selected Cryptographic Forums
A.1 Asiacrypt/Auscrypt Proceedings
A.2 Crypto Proceedings
A.3 Eurocrypt Proceedings
A.4 Fast Software Encryption Proceedings
A.5 Journal of Cryptology papersReferences
Index
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