- Copyright
- Foreword
- About the Author
- About the Translator
- Preface to the Second American Edition
- Preface to the First American Edition
- Preface to the First German Edition
- 1. Arithmetic and Number Theory in C
- 1. Introduction
- 2. Number Formats: The Representation of Large Numbers in C
- 3. Interface Semantics
- 4. The Fundamental Operations
- 5. Modular Arithmetic: Calculating with Residue Classes
- 6. Where All Roads Meet: Modular Exponentiation
- 7. Bitwise and Logical Function
- 8. Input, Output, Assignment, Conversion
- 9. Dynamic Registers
- 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
- 11. Rijndael: A Successor to the Data Encryption Standard
- 11.1. Arithmetic with Polynomials
- 11.2. The Rijndael Algorithm
- 11.3. Calculating the Round Key
- 11.4. The S-Box
- 11.5. The ShiftRows Transformation
- 11.6. The MixColumns Transformation
- 11.7. The AddRoundKey Step
- 11.8. Encryption as a Complete Process
- 11.9. Decryption
- 11.10. Performance
- 11.11. Modes of Operation
- 12. Large Random Numbers
- 13. Strategies for Testing LINT
- 2. Arithmetic in C++ with the Class LINT
- 3. Appendices
- A. Directory of C Functions
- B. Directory of C++ Functions
- B.1. Input/Output, Conversion, Comparison: Member 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
- C. Macros
- D. Calculation Times
- E. Notation
- F. Arithmetic and Number-Theoretic Packages
- References
-
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