| Date | Lecture | Notes | Assigned Reading | What is Due |
|---|---|---|---|---|
| Week 1 | ||||
| 1/29 | Historical Cryptography.
Intro to Sage and Latex. Classical Cryptography: Substitution and Caesar cipher |
Section 1.1 and 1.2 | ||
| 1/31 | Classical Cryptography: Cryptanalysis, the affine cipher and modular arithmetic (Multiplication table modulo 26) |
Notes | Section 1.3 and 1.4 | Homework 0 |
| Week 2 | ||||
| 2/5 | Classical Cryptography: Vigenere, and Hill Ciphers | Notes | Link | Group Discussion Questions 1 |
| 2/7 | Decrypting and attacking Hill Cipher, Basic Number Theory | Notes | Homework 1 | |
| Week 3 | ||||
| 2/12 | Euclid's algorithm, Quiz 1 (Practice) | Notes | Sections 6.3.1 and 6.3.2 | Project 1 (Vigenere) |
| 2/14 | Stream Ciphers, the one time pad and perfect secrecy | Notes | Sections 2.1 and 2.2 | Group Discussion Week 3 |
| Week 4 | ||||
| 2/19 | LFSRs | Notes | Section 2.3 | |
| 2/21 | Confusion, Diffusion, DES and Finite FIelds | Notes | Sections 3.1, 3.2, 4.3 | Homework 2 |
| Week 5 | ||||
| 2/26 | Finite Fields | Notes | Sections 4.3, 4.4 | Project 2 |
| 2/28 | Finite Fields, S-AES S-Boxes, Simpliefied AES, Quiz 2 (Practice) | Notes | Group Discussion Week 5 | |
| Week 6 | ||||
| 3/4 | SAES Demo | Notes | ||
| 3/6 | SAES Practice, Exam 1 review | Homework 3 | ||
| Week 7 | ||||
| 3/11 | Midterm 1 | |||
| 3/13 | Double Encryption, Meet in the middle attacks | Notes | Project 3 (Friday) | |
| Spring Break | ||||
| Week 8 | ||||
| 3/25 | Meet in the Middle demo | |||
| 3/27 | Modular Exponentiation, Euler Phi Function | Notes | Group Discussion Week 8 | |
| Week 9 | ||||
| 4/1 | Fermat's Theorem, 3-pass protocol | Notes | Section 6.3.2 | |
| 4/3 | Exponents and Euler's Theorem | Notes | Section 6.3.3, Section 7.1, 7.2 | Project 4 |
| Week 10 | ||||
| 4/8 | Quiz 3 (Practice) | Group Discussion | ||
| 4/10 | Primality Tests | Notes | ||
| Week 11 | ||||
| 4/15 | Miller-Rabin Primality Test | |||
| 4/17 | Dixon's Factorization Algorithm | Homework 4 | ||
| Week 12 | ||||
| 4/22 | Discrete Logarithms, Diffie-Hellman Key Exchange | Group Discussion Questions | ||
| 4/24 | ElGamal Cryptosystem, Baby-Step-Giant-Step Quiz 4 (Practice) | |||
| Week 13 | ||||
| 4/29 | Digital Signatures (RSA, ElGamal) Hash Functions, Digital Signature Algorithm | Notes | ||
| 5/1 | Midterm 2 | |||
| Week 14 | ||||
| 5/6 | Elliptic Curves over the Rationals | Notes | ||
| 5/8 | Elliptic Curves (mod p) ECHDE, ECDSA | Group Discussion Questions | ||
| Week 15 | ||||
| 5/13 | Elliptic Curve Practice, Final Review | |||
| 5/15 | Final Exam Section 001 (3:00 PM) | |||
| 5/20 | Homework 5 | |||
