Cryptography in C and C++
Cryptography in C and C++
ISBN: 189311595X
EAN: 2147483647
EAN: 2147483647
Year: 2001
Pages: 127
Pages: 127
Authors: Michael Welschenbach
- 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 IO 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 InputOutput, 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
Cryptography in C and C++
ISBN: 189311595X
EAN: 2147483647
EAN: 2147483647
Year: 2001
Pages: 127
Pages: 127
Authors: Michael Welschenbach