Apress - Cryptography in C and CPP

• Table of Contents
• BackCover
• Cryptography in C and C++
• Preface to the Translation of the Second Edition
  • Disclaimer
  • Translator's Note
• Preface to the First Edition
• Part I: Arithmetic and Number Theory in C
  • Chapter 1: Introduction
    • About the Software
    • Legal Conditions for Using the Software
    • Contacting the Author
  • Chapter 2: Number Formats: The Representation of Large Numbers in C
  • Chapter 3: Interface Semantics
  • Chapter 4: The Fundamental Operations
    • 4.1 Addition and Subtraction
    • 4.2 Multiplication
    • 4.3 Division with Remainder
  • Chapter 5: Modular Arithmetic: Calculating with Residue Classes
  • Chapter 6: Where All Roads Meet: Modular Exponentiation
    • 6.1 First Approaches
    • 6.2 M-ary Exponentiation
    • 6.3 Addition Chains and Windows
    • 6.4 Montgomery Reduction and Exponentiation
    • 6.5 Cryptographic Application of Exponentiation
  • Chapter 7: Bitwise and Logical Functions
    • 7.1 Shift Operations
    • 7.2 All or Nothing: Bitwise Relations
    • 7.3 Direct Access to Individual Binary Digits
    • 7.4 Comparison Operators
  • Chapter 8: Input, Output, Assignment, Conversion
  • Chapter 9: Dynamic Registers
  • Chapter 10: Basic Number-Theoretic Functions
    • 10.1 Greatest Common Divisor
    • 10.2 Multiplicative Inverse in Residue Class Rings
    • 10.3 Roots and Logarithms
    • 10.4 Square Roots in Residue Class Rings
    • 10.5 A Primality Test
  • Chapter 11: Large Random Numbers
  • Chapter 12: Strategies for Testing LINT
    • 12.1 Static Analysis
    • 12.2 Run-Time Tests
• Part II: Arithmetic in C++ with the Class LINT
  • Chapter 13: Let C++ Simplify Your Life
    • 13.1 Not a Public Affair: The Representation of Numbers in LINT
    • 13.2 Constructors
    • 13.3 Overloaded Operators
  • Chapter 14: The LINT Public Interface: Members and Friends
    • 14.1 Arithmetic
    • 14.2 Number Theory
    • 14.3 Stream I/O of LINT Objects
  • Chapter 15: Error Handling
    • 15.2 User-Defined Error Handling
    • 15.3 LINT Exceptions
  • Chapter 16: An Application Example: The RSA Cryptosystem
    • 16.1 Asymmetric Cryptosystems
    • 16.2 The RSA Algorithm
    • 16.3 Digital RSA Signatures
    • 16.4 RSA Classes in C++
  • Chapter 17: Do It Yourself: Test LINT
  • Chapter 18: Approaches for Further Extensions
  • Chapter 19: Rijndael: A Successor to the Data Encryption Standard
    • 19.1 Arithmetic with Polynomials
    • 19.2 The Rijndael Algorithm
    • 19.3 Calculating the Round Key
    • 19.4 The S-Box
    • 19.5 The ShiftRow Transformation
    • 19.6 The MixColumn Transformation
    • 19.7 The AddRoundKey Step
    • 19.8 Encryption of a Block as a Complete Process
    • 19.9 Decryption
• Part III: Appendices
  • Appendix A: Directory of C Functions
    • A.2 Basic Calculations
    • A.3 Modular Arithmetic
    • A.4 Bitwise Operations
    • A.5 Number-Theoretic Functions
    • A.6 Generation of Pseudorandom Numbers
    • A.7 Register Management
  • Appendix B: Directory of C++ Functions
    • B.2 Input/Output, Conversion, Comparison: Friend Functions
    • B.3 Basic Operations: Member Functions
    • B.4 Basic Operations: Friend Functions
    • B.5 Modular Arithmetic: Member Functions
    • B.6 Modular Arithmetic: Friend Functions
    • B.7 Bitwise Operations: Member Functions
    • B.8 Bitwise Operations: Friend Functions
    • B.9 Number-Theoretic Member Functions
    • B.10 Number-Theoretic Friend Functions
    • B.11 Generation of Pseudorandom Numbers
    • B.12 Miscellaneous Functions
  • Appendix C: Macros
    • C.2 Additional Constants
    • C.3 Macros with Parameters
  • Appendix D: Calculation Times
  • Appendix E: Notation
  • Appendix F: Arithmetic and Number-Theoretic Packages
• References
• Index
  • Index_B
  • Index_C
  • Index_D
  • Index_E
  • Index_F
  • Index_G
  • Index_H
  • Index_I
  • Index_J
  • Index_K
  • Index_L
  • Index_M
  • Index_N
  • Index_O
  • Index_P
  • Index_Q
  • Index_R
  • Index_S
  • Index_T
  • Index_U
  • Index_V
  • Index_W
  • Index_X
  • Index_Z
• List of Figures
• List of Tables
• List of Listings