CSCI 476, Fall 2017


This course features a rigorous introduction to modern Cryptography  a field that conducts mathematical & algorithmic studies of concepts, methods, and tools for protecting information in computer and communication systems. The course will focus on:
Prerequisites: CSCI 270 or permission of the instructor. If you have doubts about meeting these prerequisites, please contact the instructor. 

Professor ShangHua Teng 
Textbook 
Introduction to Modern Cryptography  Second Edition
The class will also cover additional material drawn from research papers as well as other books in Theoretical Computer Science.

Lectures 

Grades 
10%: Participation 35%: Problem sets/Reqired Reading/Class Discussions 25%: Presentations (could be done in group) 30%: Term paper (group + individual)

Exams 

Homeworks 

Integrity 
Plagiarism and other antiintellectual behavior will be dealt with severely. This includes the possibility of failing the course or being expelled from the University. 
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Lec# 
Date

Topic and/or Event  Required Reading  "Fun" Research Reading 
1

08/21

Class organization:

Chapters 13 Search on the Web. For example: "google P NP" "google RSA" "google Zero Knowledge Proof" "google MAC" "google Digital signature" "google Homomorphic Encryption" "google Differential privacy" "google Network Security" 
Chapter 1.3 
2

08/23

Shamir's Secret Sharing Scheme: An Example of Perfect Security
Linear Algebra and Number Theory Basic 
Handout, Shamir's CACM paper and Chapter 13.3 and Chapter 8  Chapter 1.1 
3

08/28

Secret Sharing II: A general Scheme
Access Control Monotone Formula Two Basic Primitives general scheme Continue discussion of (perfect) information security 
Handout: BenalohLeichter, Generalized Secret Sharing and Monotone Functions  
4

08/30

Classic Framework of Secure Communication 
The Setting of PrivateKey Encryption
Key generation Encryption/Decryption
Cryptanalysis

Chapter 1.2, 1.4  
5

09/04

Labor Day (No Class)  
6

09/06

PerfectlySecret PrivateKey Encryption
Information and Probability 
Chapter 2  
7

09/11

Computational Approach to Security and Cryptography
Complexity Theory Basics Randomness vs Pseudorandomness 
Chapter 3.1, 3.2, 3.3  
8

9/13

Modern Framework of Secure Communication
Publickey encryption Chosen Plaintext Attacks Number Theory Basics 
Chapters, 10.1. 10.2, and Chapter 7, Chapter 8  
9

9/18

RSA
Number Theoretic Basics: Chinese Remainder Theorem 
Chapter 10.4, Chapter 7, Chapter 11.1, and Chapter 11.5, Chapter 8  
10

9/20

RSA
Number Theoretic Basics 
Chapter 10.4 and Chapter 8, Chapter 11.5  
11

09/25

Rabin Encryption Scheme Probabilistic Encryption 
Chapter 13.5 and Chapter 13.4  
12

09/27

DiffieHellman Key Exchange  Chapter 10  
13

10/02

Discrete Logarithms and El Gamal Encryption Scheme  Chapter 11.4.1  
14

10/04

Pseudorandom Generation: BlumMicali Construction
Number Theory Basics 
Chapters 7.47.8 and Chapter 8  Chapter 5 
15

10/09

Professor Kevin Knight's guest lecture
Cryptanalysis, NLP, and Statistical Learning 

16

10/11

At KAP159: Professor MingDeh Huang's guest lecture
quantum cryptography: I 
(I) News on quantum satellite Reuter 6/16/2017 China's quantum satellite makes breakthrough in secure communications https://www.reuters.com/article/uschinaspacesatelliteidUSKBN1970SY Science 6/15/2017 Chinabture/PRL_67_661_Ekert.pdf EPR paper http://www.drchinese.com/David/EPR.pdf Bell Theorem (1) Original paper http://www.drchinese.com/David/Bell_Compact.pdf (2) Explanation http://drchinese.com/David/Bell_Theorem_Easy_Math.htm Quantum computation https://people.eecs.berkeley.edu/~christos/classics/Deutsch_quantum_theory.pdf (III) Wiki links: https://en.wikipedia.org/wiki/Quantum_computing https://en.wikipedia.org/wiki/Schr%C3%B6dinger%27s_cat https://en.wikipedia.org/wiki/Quantum_key_distribution https://en.wikipedia.org/wiki/Quantum_entanglement  
17

10/16

At KAP159: Professor MingDeh Huang's guest lecture
quantum cryptography: II 
(I) News on quantum satellite Reuter 6/16/2017 China's quantum satellite makes breakthrough in secure communications https://www.reuters.com/article/uschinaspacesatelliteidUSKBN1970SY Science 6/15/2017 Chinabture/PRL_67_661_Ekert.pdf EPR paper http://www.drchinese.com/David/EPR.pdf Bell Theorem (1) Original paper http://www.drchinese.com/David/Bell_Compact.pdf (2) Explanation http://drchinese.com/David/Bell_Theorem_Easy_Math.htm Quantum computation https://people.eecs.berkeley.edu/~christos/classics/Deutsch_quantum_theory.pdf (III) Wiki links: https://en.wikipedia.org/wiki/Quantum_computing https://en.wikipedia.org/wiki/Schr%C3%B6dinger%27s_cat https://en.wikipedia.org/wiki/Quantum_key_distribution https://en.wikipedia.org/wiki/Quantum_entanglement  
18

10/18

TBA


19

10/23

Indistinguishability and unpredicatability
BlumBlumShub Pseudorandom generator 
Chapters 7.47.8 and Chapter 8  Chapter 5 
20

10/25

One Way and trapdoor functions, hardcore bits  Chapter 7.17.3  
21

10/30

Intereactive and Zero Knowledge Proofs 
Hangouts  Hangouts 
22

11/01

Zero Knowledge Proofs  Hangouts  
23

11/06

Applications of Zero Knowledge Proofs: Multiparty Computation  Hangouts  
24

11/08

Presentation:  
25

11/13

Presentation:


26

11/15

Presentation:  
27

11/20

Presentation:  
28

11/22

Thanksgiving (No Class)  
29

11/27

Presentation:  
30

11/29

Privacy and Security 