| 課程摘要 | 課本閱讀 | |
|---|---|---|
| 第一週 (9/21) | Halting Problem, P/NP, NP-Complete, NP-Hard, SAT, 3SAT, HAMPATH, TSP, SUBSETSUM 課程簡介, 課程要求, Textbook, Cryptography terminology, Basic communication scenario Slides |
|
| 第二週 (9/28) |
Types of attacks, attacks to the cryptography algorithms, Kerckhoffs's Principle, Security Services, Secret Key vs Public Key Cryptosystems, Key Length Issues, Unbreakable Cryptosystems, One-time pad, Modern Cryptography, Slides | toc chap 1 |
| 第三週 (10/05) |
Congruence, GCD, Euclidean Algorithm, Extended Euclidean Algorithm, Multiplicative Inverse, Solving ax=b mod n, Group, Abelian Group, Cyclic Group, Ring, Field, apply modulo whenever you can, Fast exponentiation, CRT, Slides | |
| 第四週(10/12) | CRT, Matlab samples, square root example,Prime numbers (Basics, Prime Number Theorem, Factors, Fermat Little Theorem, Euler Totient function, Euler Theorem ), Slides | chap 3 |
| 第五週 (10/19) |
Primitive Root, Square
Root, Slides
|
chap 3 |
| 第六週 (10/26) | RSA Cryptosystem and Factoring, Slides | chap 6 |
| 第七週 (11/02) | Discrete Log based Cryptosystem, Pohlig-Hellman method, slides | |
| 第八週 (11/09) | Diffie-Hellman Key Exchange Algorithm, ElGamal Cryptosystem, and DDH assumption, slides |
|
| 第九週 (11/16) | 期中考試 13:20-15:20 | |
| 第十週 (11/23) | (請注意 12/01 期中退選截止) | homework2 |
| 第十一週 (11/30) | chap 4 |
|
| 第十二週 (12/07) | chap 5 |
|
| 第十三週 (12/14) | |
homework4 |
| 第十四週 (12/21) | Security Notions in Cryptography, 資訊安全的定義, 電腦安全的威脅, 資訊安全課題, Cryptographic Applications, Focus of this class, Why staying in this class? Aspects of Modern Cryptography, Slides , Classical Ciphers - Shift Cipher, Affine Cipher, Substitution Cipher, Vigenere Cipher, Block Cipher, Hill Cipher, Shannon's Principles, Letter Frequency Analysis, Stream Ciphers Slides | chap 2 |
| 第十五週 (12/28) | DES History, Feistel System, A simple DES, Design of f(.,.), 3-round differential cryptanalysis, 4-round differential cryptanalysis, Slides, Tutorial of differential and linear attacks by Heys |
|
| 第十六週 (01/04) | DES design criteria, DES, Linear Cryptanalysis, Is DES a group?, Modes of Operation (ECB, CBC, CFB, OFB, Counter), Slides |
chap 7 |
| 第十七週 (01/11) | AES, | chap 7 |
| 第十八週 (01/18) | Signature schemes, Hash, and Birthday attack, slides | chap 8, 9 |
| 學期考試 13:20-15:00 (100 min) | chap 5, chap 6, chap 7, chap 8, chap 9 |
