| Date | Lecture | Notes | Assigned Reading | What is Due |
|---|---|---|---|---|
| Week 1 | ||||
| 8/29 | Historical Cryptography.
Intro to Sage and Latex. Classical Cryptography: Substitution and Caesar cipher |
Section 1.1 and 1.2 | ||
| 8/31 | Classical Cryptography: Cryptanalysis, the affine cipher and modular arithmetic (Multiplication table modulo 26) |
Notes, | Section 1.3 and 1.4 | Homework 0 |
| Week 2 | ||||
| 9/5 | Classical Cryptography: Vigenere, and Hill Ciphers | Notes | Link | Group Discussion Questions 1 |
| 9/7 | Decrypting and attacking Hill Cipher, Basic Number Theory | |||
| Week 3 | ||||
| 9/12 | Euclid's algorithm, Quiz 1 (practice) | Notes | Sections 6.3.1 and 6.3.2 | Project 1 (Vigenere) |
| 9/14 | Stream Ciphers, the one time pad and perfect secrecy | Notes | Sections 2.1 and 2.2 | Group Discussion Questions 2 |
| Week 4 | ||||
| 9/19 | LFSRs | Notes | Section 2.3 | |
| 9/21 | Confusion, Diffusion, DES and Finite FIelds | Notes | Sections 3.1, 4.3 | Homework 1 |
| Week 5 | ||||
| 9/26 | Finite Fields, AES S-Boxes Quiz 2 (practice) | Notes | Sections 4.3, 4.4 | Project 2 |
| 9/28 | Simpliefied AES | Notes | Group Discussion Questions | |
| Week 6 | ||||
| 10/3 | Decrypting SAES, SAES Practice, Midterm Review | Notes | ||
| 10/5 | Midterm 1 | |||
| Week 7 | ||||
| 10/10 | Modes of Operation | Notes | Project 3 | |
| 10/12 | Double Encryption, Meet in the middle attacks | Notes | Group Discussion Questions | |
| Week 8 | ||||
| 10/17 | Euler's Phi Function, Chinese Remainder Theorem | Notes | ||
| 10/19 | Modular Exponentiation, Fermat's Theorem | Notes | Group Discussion Questions | |
| Week 9 | ||||
| 10/24 | 3-pass protocol | Notes | Project 4 | |
| 10/26 | Exponents, Euler's Theorem and RSA Quiz 3 (practice) | Notes | Group Discussion Questions | |
| Week 10 | ||||
| 10/31 | Primality Tests | |||
| 11/2 | Miller-Rabin Primality Test | Notes | Group Discussion Questions | |
| Week 11 | ||||
| 11/7 | Dixon's Factorization Algorithm | Notes | Homework 2 | |
| 11/9 | Discrete Logarithms, Diffie-Hellman Key Exchange Quiz 4 (practice) | Notes | Group Discussion Questions | |
| Week 12 | ||||
| 11/14 | ElGamal Cryptosystem, Baby-Step-Giant-Step | Notes | Group Discussion Questions | |
| 11/16 | Midterm 2 | |||
| Week 13 | ||||
| 11/21 | Hash Functions and Digital Signatures (RSA, ElGamal) | Notes | ||
| THANKSGIVING | ||||
| Week 14 | ||||
| 11/28 | Hash Functions, Digital Signature Algorithm | Notes | ||
| 11/30 | Elliptic Curves over the Rationals | Project 5 | ||
| Week 15 | ||||
| 12/5 | Elliptic Curves (mod p) ECHDE, ECDSA | Notes | ||
| 12/7 | Elliptic Curve Practice, Final Review | Group Discussion Questions | ||
| 12/12 | Final Exam Section 002 (3:00 PM) | |||
| 12/14 | Final Exam Section 001 (3:00 PM) | |||
