2005 Fall 密碼學與應用課程內容摘要

  課程摘要 課本閱讀
第一週,第二週 (9/22, 9/29) 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, 第四週
(10/06, 10/13)
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 , Classical Ciphers - Shift Cipher, Affine Cipher, Substitution Cipher, Vigenere Cipher, Block Cipher, Hill Cipher, Shannon's Principles, Letter Frequency Analysis, Stream Ciphers Slides   chap 1
chap 2
第五週 (10/20) Congruence, GCD, Euclidean Algorithm, Extended Euclidean Algorithm, Multiplicative Inverse, Solving ax=b mod n, Slides

chap 3, homework 1

第六週 (10/27) Group, Abelian Group, Cyclic Group, Ring, Field, apply modulo whenever you can, Fast exponentiation, CRT, Slides chap 3
第七週 (11/03) CRT, Matlab samples, CRT 2nd solution interpretation, square root example,Prime numbers (Basics, Prime Number Theorem, Factors, Fermat Little Theorem), Slides  

chap 3

第八週 (11/10) Prime numbers (Fermat Little Theorem, Euler Totient function, Euler Theorem, Primitive Root, Square Root), Slides , History, Feistel System, A simple DES, Slides chap 3, homework2
第九週 (11/17) 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
第十週 (11/24) DES , (請注意 12/02 期中退選截止) chap 4
第十一週 (12/01) 期中考試 10:20-12:00, solution

chap 1-4,
chap 5

第十二週 (12/08) RSA Cryptosystem slides
chap 6
第十三週 (12/15) (請注意本週正常上課)
RSA and Factoring, slides
chap 6
第十四週 (12/22) RSA and Factoring (cont'd), slides chap 6
第十五週 (12/29) Discrete Log based Cryptosystem, Pohlig-Hellman method, slides chap 7
第十六週 (01/05) Diffie-Hellman Key Exchange Algorithm, ElGamal Cryptosystem, and DDH assumption, slides chap 7
第十七週 (01/12) Signature schemes, Hash, and Birthday attack, slides chap 8
第十八週 (01/19) 學期考試 10:20-12:00 (100 min) chap 6, chap 7, chap 8

密碼學與應用課程 首頁

製作日期: 09/26/2005 by 丁培毅 (Pei-yih Ting)
E-mail: pyting@cs.ntou.edu.tw TEL: 02 24622192x6615
海洋大學 電資學院 資訊工程系 Lagoon

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