Class InfoClass Number: Come 740Dates: Mar 2, 2015  Jun 1, 2015 Room: NS 2132 Meeting time:
Purpose: Introduction to Information Theory and Elliptic Curves in Cryptography Text: Jeffrey Hoffstein, Jill Pipher and Joseph H. Silverman, "An Introduction to Mathematical Cryptography", Springer 2008 

Week  Topics  Chapters 
1  Review of Basic Public Key Cryptography Part 1  1  3 
2  Review of Basic Public Key Cryptography Part 2  1  3 
3  The Vigenère Cipher  4.12 
4  Probability Theory  4.3 
5  Collision Methods  4.4 
6  Information Theory  4.5 
7  Midterm  
8  Complexity  4.6 
9  Elliptic Curves  5.12 
10  Elliptic Curve Cryptography  5.35 
11  Lenstra's Algorithm  5.6 
12  Characteristic 2 Elliptic Curves  5.7 
13  Bilinear Pairings  5.8 
14  Weil Pairing  5.910 
15  Final Exam 
Attendance  10% 
Midterm:  40% 
Final:  50% 