| 課程摘要 | 課本閱讀 | |
|---|---|---|
| 第一週，第二週 (9/16, 9/23, 9/25) | 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, Slides , Lenstra's paper [1] , Blaze's paper [2] | chap 1 |
| 第三週 (09/30, 10/02) | Unbreakable Cryptosystems, One-time pad, Modern Cryptography, 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 , Congruence, GCD, Euclidean Algorithm, Extended Euclidean Algorithm, Multiplicative Inverse, Slides |
chap 1
chap 3 |
| 第四週 (10/07, 10/09) | Solving ax=b mod n, Group, Abelian Group, Cyclic Group, Ring, Field, apply modulo whenever you can, Fast exponentiation, CRT, Matlab samples, Slides | chap 3 |
| 第五週 (10/14, 10/16) | CRT 2nd solution interpretation, square root example, Slides , Classical Ciphers - Shift Cipher, Affine Cipher, Substitution Cipher, Vigenere Cipher, Block Cipher, Hill Cipher, Shannon's Principles, Letter Frequency Analysis, Slides |
chap 3
chap 2 |
| 第六週 (10/21, 10/23) | Stream Ciphers, Slides , Prime numbers (Basics, Prime Number Theorem, Factors, Fermat Little Theorem), Slides |
chap 3
chap 2 |
| 第七週 (10/28, 10/30) | Prime numbers (Fermat Little Theorem, Euler Totient function, Euler Theorem, Primitive Root, Square Root), Slides , History, Feistel System, A simple DES, Slides | chap 4 |
| 第八週 (11/04, 11/06) | Design of f(.,.), 3-round differential cryptanalysis, 4-round differential cryptanalysis, DES design criteria, DES, Linear Cryptanalysis, Is DES a group?, Modes of Operation (ECB, CBC, CFB, OFB, Counter), Slides | chap 4 |
| 第九週 (11/11, 11/13) | DES , AES |
chap 4
chap 5 |
| 第十週 (11/18, 11/20) | 期中考試 10:20-12:05, | chap 1-5 |
| 第十一週 (11/27) | RSA Cryptosystem, slides | chap 6 |
| 第十二週 (12/04) |
RSA Cryptosystem cont'd,
slides
(請注意 11/28 期中退選截止) |
chap 6 |
| 第十三週 (12/11) | RSA cont'd and attacks, slides | chap 6 |
| 第十四週 (12/18) | RSA cont'd and attacks, slides | chap 6 |
| 第十五週 (12/25) | Discrete Log based Cryptosystem, Pohlig-Hellman method, slides | chap 7 |
| 第十六週 (01/01) | Diffie-Hellman Key Exchange Algorithm, ElGamal Cryptosystem, and DDH assumption, slides | chap 7 |
| 第十七週 (01/08) | Signature schemes, Hash, and Birthday attack, slides | chap 8 |
| 第十八週 (01/15) | 學期考試 10:20-12:00 | chap4, chap 6, chap 7, chap 8 |
