Cyrptography ToC

The following is a table of contents for Introduction to Cryptography with Coding Theory.

1. Overview of Cryptography and its Applications
1. Secure Communications
2. Cryptographic Applications
2. Classical Cryptosystems
1. Shift Ciphers
2. Affine Ciphers
3. The Vigenère Cipher
4. Substitution Ciphers
5. Sherlock Holmes
6. The playfair and ADFGX Ciphers
7. Block Ciphers
8. Binary Numbers and ASCII
9. One-Time Pads
10. Pseudo-Random Bit Generation
11. LSFR Sequences
12. Enigma
3. Basic Number Theory
1. Basic Notions
2. Solving ax + by = d
3. Congruences
4. The Chinese Remainder Theorem
5. Modular Exponentiation
6. Fermat and Euler
7. Primitive Roots
8. Inverting Matrices Mod n
9. Square Roots and Mod n
10. Legendre and Jacobi Symbols
11. Finite Fields
12. Continued Fractions
4. The Data Encryption Standard
5. The Advanced Encryption Standard: Rijndael
6. The RSA Algorithm
1. The RSA Algorithm
2. Attacks on the RSA
3. Primality Testing
4. Factoring
5. The RSA Challenge
6. An Application to Treaty Verification
7. The Public Key Concept
7. Discrete Logarithms
1. Discrete Logarithms
2. Computing Discrete Logs
3. Bit Commitment
4. Diffie-Hellman Key Exchange
5. The ElGamal Public Key Cryptosystem
8. Hash Functions
9. Digital Signatures
10. Security Protocols
11. Digital Cash
12. Secret Sharing Schemes
13. Games
14. Zero-Knowledge Techniques
1. The Basic Setup
2. The Feige-Fiat-Shamir Identification Scheme
15. Information Theory
16. Elliptic curves
1. The Addition Law
2. Elliptic Curves Mod p
3. Factoring with Elliptic Curves
4. Elliptic Curves in Characteristic 2
5. Elliptic Curve Cryptosystems
6. Identity-Based Encryption
17. Lattice Methods
1. Lattices
2. Lattice Reduction
3. An attack on RSA
4. NTRU
18. Error Correction Codes
19. Quantum Techniques in Cryptography