| 課程摘要 | 課本閱讀 | |
|---|---|---|
| 第一週, 第二週 (9/17, 9/24) | 課程簡介, 課程要求, Textbook, Cryptography terminology, Basic communication scenario, 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 |
chap 1 |
| 第三週 (10/01) |
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(10/08) | 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,
第六週 (10/15, 10/22) |
Primitive Root,
Square Root, Slides
RSA Cryptosystem and Factoring, Slides |
chap 3, chap 6 |
| 第六週 (10/24) | ||
| 第七週 (10/31) | Discrete Log based Cryptosystem, Pohlig-Hellman method, slides | |
| 第八週 (11/07) | Diffie-Hellman Key Exchange Algorithm, ElGamal Cryptosystem, and DDH assumption, slides |
|
| 第九週 (11/14) | 期中考試 13:20-15:20 | |
| 第十週 (11/21) | (請注意 12/01 期中退選截止) | homework2 |
| 第十一週 (11/28) | chap 4 |
|
| 第十二週 (12/05) | chap 5 |
|
| 第十三週 (12/12) | |
homework4 |
| 第十四週 (12/19) | 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 | |
| 第十五週 (12/26) |
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 (01/2) |
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 (01/09) | AES, | chap 7 |
| 第十八週 (01/16) | 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 |
