Introduction to Cryptography
|| Mondays 11:00am-12:50pm WWH 517
|| Mondays 9:45am-10:45am, WWH 303
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
My colleagues Thomas Vidick and Stephanie Wehner created an online EdX course on quantum cryptography.
||Active participation in class, homework assignments, final exam|
||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.|
|Sep 10||Introduction, Perfect Secrecy. Number theory. Lectures 1+2 of Peikert, Lecture 1 of Dodis, Section 1.3 of Pass-Shelat.|
|Sep 17||(Proof of Shannon's Theorem) Finishing number theory. One-way functions (and collections thereof). Weak one-way functions.|
|Sep 24||Examples of one-way functions. Weak OWFs to strong OWFs. Informal discussion of indistinguishability and pseudorandom generators.|
|Oct 1||Collections of one-way functions. More examples of OWFs. Application of OWFs to password storage.|
|Oct 15||Indistinguishability. Pseudorandom generators. Expanding PRGs.|
|Oct 22||Blum-Micali PRG. Hard-core bits. Goldreich-Levin; Pseudorandom functions: motivation and definition|
|Oct 29||Constructing Pseudorandom functions|
|Nov 5||Pseudorandom permutations and Luby-Rackoff; symmetric key encryption, definitions of security and constructions|
|Nov 12||Finishing symmetric key encryption|
|Nov 19||Public key encryption; Trapdoor one-way permutations; Diffie-Hellman protocol and ElGamal cryptosystem.|
|Nov 26||Authentication security definition and info theoretic construction.|
|Dec 3||Computational construction of MAC using PRF. Expanding input of MACs using CRHF or almost universal hash functions. Authenticated encryption.|
|Dec 10||Digital Signatures.|
|Dec 11||Lattice-based cryptography (bonus class)|
|Dec 17||Final exam|