Webster dictionary defines cryptography as: ``The enciphering and deciphering of messages in secret code or cipher.'' However, modern cryptography is a much broader field; it provides algorithms and protocols which protect honest parties from malicious parties. Malicious parties can, for example, eavesdrop to the communication on the Internet and try to read messages sent by other parties; they can try to impersonate other parties, or login to computers without permission. Basic topics in cryptography include secure encryption, digital signatures, and authentication.
In this course I will discuss these topics, their realizations, and applications. The material covers cryptosystems that are both practical and theoretically interesting. To achieve this goal, I'll also teach some background in number theory that is necessary to understand modern cryptosystems such as RSA. This is a 4-credit course, consisting of two weekly 2-hour meetings. It is intended for third year undergraduate students as well as for graduate students. Pre-required courses are design of algorithms and probability.
Classic Encryption Systems
|2||Classic encryptions (continued); their cryptanalysis.||25.3.03||
|3||Perfect encryption systems.||3.3.03||EX1||2.1|
||Proof from class
|8||Number Theory: Summary||25.3.03|
|9||RSA public key encryption.||31.3.03||4.3, 4.4|
|10||RSA: Implementations and Attacks.
Diffie-Hellman Key Exchange
|11||ElGamal Encryption.||7.4.03||5.1 (until p. 166)|
|12||Data Encryption Standard (DES).||8.4.03||DES, Ex. 3 (ps) (word)||3.1-3.3|
|13||Attacks on DES. Linear Cryptanalysis.||28.4.03||[Matsui]|
|14|| Modes of Operations.
Advanced Encryption Standard (AES).
|29.4.03||Ex 4 (ps) (word)||
RSA and Rabin's Signatures.
|16||ElGamal Signature scheme.||13.5.03||6.2|
|17||Digital Signature Algorithm (DSA).||19.5.03||6.3|
|18||Cryptographic Hash functions.||20.5.03||7.1-7.3,7.5.|
[BCK1] (ps) (pdf)
|20||Secure Socket Layer (SSL).||27.5.03||Slides: (1)  (2) (3)  (4) (5)||[Stallings, 14.1, 14.2]|
|21||Threshold Secret Sharing.||2.6.03||11.1|
|23||Summary Lecture.||10.6.03|| |
|Lectures hours:||Monday 18-20, Room 244 Building 90|
||Tuesday 18-20. Room 140 Building 90|
|Reception hours:||Monday 15-17, Room 205 Building 58 (Math and CS)|
|E-mail:||beimel at cs.bgu.ac.il|