Computer Science

Introduction to CryptographyCSCIGA 3210001 
Fall 2014 
For hints and further reading, use the Hintomatic.
Lectures

Mondays 11:00am12:50pm WWH 312 
Instructor 
Oded Regev 
Office hours

Mondays 9:45am10:45am, WWH 303 
Reading 
Introduction to Cryptography, by Jonathan Katz and Yehuda Lindell. A good introductory book.
Foundations of Cryptography, Vol. 1 and 2 by Oded Goldreich. A comprehensive book for those who want to understand the material in greater depth. Lecture notes by Yevgeniy Dodis, which we'll follow closely Lecture notes by Chris Peikert Lecture notes by Rafael Pass and Abhi Shelat. Last year's course 
Requirements 
Active participation in class, homework assignments, final exam 
Prerequisites 
Students are expected to be comfortable reading and writing mathematical proofs, be at ease with algorithmic concepts, and have elementary knowledge of discrete math, number theory, and basic probability. No programming will be required for the course. 
Date  Class Topic 
Sep 8  Introduction, Perfect Secrecy. Number theory. Lectures 1+2 of Peikert, Lecture 1 of Dodis, Section 1.3 of PassShelat. 
Sep 15  (Proof of Shannon's Theorem) Finishing number theory. Oneway functions (and collections thereof). Weak oneway functions. Examples of oneway functions. A bit on going from weak to strong OWFs. 
Sep 22  Weak OWFs to strong OWFs. Collections of oneway functions. Informal discussion of indistinguishability and pseudorandom generators. 
Sep 29  More examples of OWFs. Application of OWFs to password storage. Indistinguishability. Pseudorandom generators. 
Oct 6  Expanding PRGs. BlumMicali PRG. Hardcore bits. 
Oct 20  GoldreichLevin; Pseudorandom functions: motivation and definition 
Oct 27  Constructing Pseudorandom functions; pseudorandom permutations 
Nov 3  Finishing pseudorandom permutations and LubyRackoff; symmetric key encryption, definitions of security and constructions 
Nov 10  Finishing symmetric key encryption; public key encryption 
Nov 17  Trapdoor oneway permutations; DiffieHellman protocol and ElGamal cryptosystem. Authentication (model only) 
Nov 24  Semantic security of PKE. Authentication security definition and info theoretic construction. 
Dec 1  Computational construction of MAC using PRF. Expanding input of MACs using CRHF or almost universal hash functions. 
Dec 8  Authenticated encryption. Digital Signatures. Zero Knowledge 
Dec 10  Latticebased cryptography 
Dec 15  Final exam 