| Date | Lecture | Notes Section 002 | Notes Section 101 | Assigned Reading | What is Due | |
|---|---|---|---|---|---|---|
| Week 1 January 27--February 1st | ||||||
| Day 1 | Historical Cryptography.
Intro to Sage and Latex. Classical Cryptography: Caesar cipher and modular arithmetic |
Notes | Notes | |||
| Day 2 | Classical Cryptography: Cryptanalysis and the Affine Cipher (Multiplication table modulo 26) | Notes | Notes | Chapter 1, Sections 2.1 and 2.2 | CoCalc Assignment 0 PDF | |
| Week 2 February 3rd--8th | ||||||
| Day 1 | Classical Cryptography: Substitution and Vigenere Ciphers | Notes | Notes | Sections 2.3 (skip 2.3.3) and 2.4 | CoCalc Assignment 1 | |
| Day 2 | Classical Cryptography: The Hill Cipher | Notes | Notes | Sections 2.6 and 2.7 | Mission 1 PDF TEX | |
| Week 3 February 10th--15th | ||||||
| 2/10 | Classical Cryptography: Known Plaintext Attacks against the Hill Cipher; One-time pad, perfect secrecy and conditional probability | Notes | Notes | Sections 2.9, 2.12 and 15.1 | ||
| 2/12 | Euclid's Algorithm, Modular Exponentiation, Fermat's Theorem | Notes | Notes | Sections 3.1, 3.2 and 3.3 | Mission 2 PDF TEX | |
| Week 4 February 17th--22nd | ||||||
| 2/17 | 3 Pass Protocol, Chinese Remainder Theorem, Rings | Notes | Sections 3.4 and 3.5 | CoCalc Assignment 3 | ||
| 2/19 | Euler Phi Function, Euler's Theorem | Notes | Section 3.6 | Mission 3 PDF TEX | ||
| Week 5 February 24th--March 1st | ||||||
| 2/24 | Finite fields, polynomials over finite fields, Primitive Roots, Quadratic Residues | Notes | Section 3.11 | CoCalc Assignment 4 | ||
| 2/26 | Legendre and Jacobi Symbols, Fermat Primality Test | Sections 3.7,3.9,3.10 | Mission 4 PDF TEX | |||
| Week 6 March 3rd--8th | ||||||
| 3/2 | Number Theory Review and Feistel Ciphers | Notes | Section 4.1 | |||
| 3/4 | SDES | Section 4.2 | Mission 5 PDF TEX | |||
| Week 7 March 10th--15th | ||||||
| 3/9 | Review and Modes of Operation | Notes | Section 4.3.1 | |||
| 3/11 | CANCELLED | |||||
| Spring Break | ||||||
| March 16th--23rd | ||||||
| Week 8 March 24th--29th | ||||||
| 3/23 | Modes of Operation | Notes | Section 4.3.1 | |||
| 3/25 | Midterm 1 | Cocalc Assignment 5 (Fermat) | ||||
| Week 9 March 31st-5th | ||||||
| 3/30 | Modes of Operation and Meet in the Middle Attacks | Section 4.5 | ||||
| 4/1 | Meet in the Middle Attacks and Intro to SAES | Section 5 | ||||
| Week 10 April 6th--12th | ||||||
| 4/6 | SAES | Notes | Notes | Section 5 | Cocalc Assignment 6 | |
| Day 2 | RSA and Public Key Cryptography | Section 6.1 and 6.3 | ||||
| Week 11 April 13th--April 19th | ||||||
| 4/13 | Solovay-Strassen Primality Test | Notes | Notes | Section 6.3 | Mission 6 PDF | |
| 4/15 | Miller-Rabin Primality Test | Notes | Sections 6.2 and 6.4 | |||
| Week 12 April 21st--April 26th | ||||||
| 4/20 | Dixon's Factorization Algorithm | Notes | Sections 6.7, 7.1 and 7.4 | Mission 7 PDF | ||
| 4/22 | Discrete Logarithms and Diffie Hellman, Baby-Step Giant Step | Sections 7.2 and 7.5 | ||||
| Week 13 April 28th--May 3rd | ||||||
| 4/27 | El Gamal, Baby Step Giant Step | Sections 8.1 and 8.4 | Mission 8 PDF | |||
| 4/29 | Midterm 2 | |||||
| Week 14 May 5th--May 10th | ||||||
| 5/4 | Hash Functions and Digital Signatures | Notes | ||||
| 5/6 | Digital Signatures/Birthday Attacks | Notes | ||||
| Week 15 May 12th--17th | ||||||
| Day 1 | Elliptic Curves | Mission 9 PDF | ||||
| Beginning of Finals Period | ||||||
| Week 16 | ||||||
| 5/13 | Final Exam (Section 101) | |||||
| 5/18 | Final Exam (Section 002) | |||||
