CIS 556, Fall 2015

  Nadia Heninger (nadiah at cis dot, 464 Levine GRW)
  Office hours: Tuesday 1-2pm

  Luke Valenta (lukev at cis dot, DSL, Moore 102)
  Office hours: Wednesday 4pm-5pm, Levine 3rd floor bump space

  Tuesday/Thursday 10:30am-12pm

Teaching Resources:
  Grades/Homework on Canvas
  Announcements/Questions on Piazza

  30% Homework
  30% Midterm
  30% Final project
  10% Participation, brownie points, and grading

Course Overview

This course is a graduate-level introduction to cryptography, both theory and applications. A tentative list of topics includes:

See the previous offering for a more detailed idea of what will be covered.


This course is intended for beginning graduate students. There are no formal prerequisites, but you should have mathematical maturity equivalent to having taken algorithms and complexity (CIS 320 or 502 and CIS 262 or CIS 511) or a proof-based math class like undergraduate algebra (Math 370/371) or number theory (Math 350).


Topic References Assignments
8/27 Introduction, one-time pad
Katz & Lindell Ch. 1, 2
Boneh & Shoup Ch. 2.2

Further reading:
Communication theory of secrecy systems Shannon 1949

Homework 1 assigned
9/1 Probability and entropy review
Katz & Lindell Appendix A
Boneh & Shoup Appendix B
Hoffstein, Pipher, & Silverman Ch. 4.3, 4.6

Further reading:
A mathematical theory of communication Shannon 1948
Alistair Sinclair scribe notes on Chernoff bounds
9/3 Semantic security, pseudorandom generators, stream ciphers
Katz & Lindell Ch. 3
Boneh & Shoup Ch. 2.3, 3
9/8 Stream ciphers, chosen plaintext attacks, pseudorandom functions
Katz & Lindell Ch. 3.5, 3.6
Boneh & Shoup Ch. 4

Further reading/Research directions:
All Your Biases Belong To Us: Breaking RC4 in WPA-TKIP and TLS by Vanhoef and Piessens
Attacks Only Get Better: Password Recovery Attacks Against RC4 in TLS by Garman, Paterson, and Van der Merwe
On the security of RC4 in TLS and WPA by AlFardan, Bernstein, Paterson, Poettering, and Schuldt 2013
Spritz-a spongy RC4-like stream cipher and hash function by Rivest and Schuldt 2014
The ChaCha family of stream ciphers by Bernstein
Homework 1 due
Homework 2 assigned
9/10 Block ciphers, modes of operation, block cipher attacks
Katz & Lindell Ch. 5
Here come the xor ninjas by Duong and Rizzo 2011
Compression and information leakage of plaintext by Kelsey 2002
The CRIME attack by Rizzo and Duong 2012
9/15 Chosen ciphertext attacks, malleability, padding oracles, message authentication codes
Katz & Lindell Ch. 4.4-4.6
Boneh & Shoup Ch. 6
Security Flaws Induced by CBC Padding Applications to SSL, IPSEC, WTLS... by Vaudenay 2002
9/17 Hash functions, birthday attacks
Katz & Lindell Ch. 4
Boneh & Shoup Ch. 8.1-8.6

Homework 2 due
(extended to 11:59pm on 09/18)
Homework 3 assigned
9/22 Hash functions in practice, length extension attacks, HMAC
Katz & Lindell Ch. 4.7-4.8
Boneh & Shoup Ch. 8.7

Further reading/research directions
MD5 to be considered harmful today by Sotirov, Stevens, Appelbaum, Lenstra, Molnar, Osvik, de Weger 2009
Counter-cryptanalysis by Stevens 2013
New collision attacks on SHA-1 based on optimal joint local-collision analysis by Stevens 2013
9/24 Authenticated encryption, computational number theory: modular arithmetic, GCDs, ideals
Katz & Lindell Ch. 7
A Computational Introduction to Number Theory and Algebra by Shoup
9/29 Groups, discrete log
HAC Ch. 3.6.3
10/1 Diffie-Hellman, ElGamal
New Directions in Cryptography by Diffie and Hellman 1976
Katz & Lindell Ch. 7.3, 8.2.1, 9, 10
Homework 3 due
Homework 4 assigned
Arithmetic modulo composites, Chinese Remainder Theorem, Pohlig-Hellman discrete log
Katz & Lindell Ch. 7.1.5, 7.2, 8.1.2, 8.2.2, 10.4
HAC Ch. 3.6.4
10/8 Fall break
10/13 No class
10/15 No class
10/20 RSA encryption, textbook RSA is insecure
Katz & Lindell Ch. 10.4, 10.6
Boneh & Franklin Ch. 13
A method for obtaining digital signatures and public-key cryptography by Rivest, Shamir, and Adleman 1978

Further reading/Research directions:
Why Textbook ElGamal and RSA Encryption Are Insecure by Boneh, Joux, and Nguyen 2000
Chosen Ciphertext Attacks Against Protocols Based on the RSA Encryption Standard PKCS #1 by Bleichenbacher 1998
Efficient Padding Oracle Attacks on Cryptographic Hardware by Bardou, Focardi, Kawamoto, Simionato, Steel, Tsay 2012
Revisiting SSL/TLS Implementations: New Bleichenbacher Side Channels and Attacks by Meyer, Somorovsky, Weiss, Schwenk, Schinzel, Tews 2014
Homework 4 due
Homework 5 assigned
10/22 RSA digital signatures Katz & Lindell Ch. 12
10/27 Midterm exam
10/29 DSA; Constructing secure channels, TLS Further reading:
Ferguson Schneier & Kohno Ch. 14
The Secure Sockets Layer (SSL) Protocol Version 3.0 by Freier Karlton Kocher 2011
The Transport Layer Security (TLS) Protocol Version 1.2 by Dierks and Rescorla 2008
This POODLE Bites: Exploiting The SSL 3.0 Fallback by Moeller, Duong, Kotowicz 2014
11/3 Constructing secure channels, SSH; Factoring algorithms Katz & Lindell Ch. 9.1
11/5 Subexponential factoring, quadratic sieve
Katz & Lindell Ch. 8.1.1, 8.1.3
Katz & Lindell 8.2.4

Further Reading:
A tale of two sieves by Pomerance (1996)
Factoring integers with the number field sieve by Buhler, Lenstra, and Pomerance (1993)
Factorization of a 768-bit RSA modulus by Kleinjung et al. (2010)
Homework 5 due
11/10 Index calculus algorithms for discrete log

Katz & Lindell Ch. 9.2.4
Imperfect Forward Secrecy: How Diffie-Hellman Fails in Practice by Adrian et al.

Further reading:
A new index calculus algorithm with complexity L(1/4 + o(1)) in small characteristic by Joux 2013
A quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic by Barbulescu Gaudry Joux and Thome 2013
11/12 Secret sharing
How to share a secret by Shamir 1979

Other resources:
Secret-sharing schemes: A survey by Beimel 2011
David Wagner lecture notes
11/17 Commitment schemes
Lecture notes by Yevgeniy Dodis

Further reading:
A practical scheme for non-interactive verifiable secret sharing by Feldman 1987
11/19 Zero-knowledge proofs
Lecture notes by David Wagner
Lecture notes by Boaz Barak 1 2
The knowledge complexity of interactive proof systems by Goldwasser, Micali, and Rackoff 1989

Further reading/research topics:
Zerocoin: Anonymous Distributed E-Cash from Bitcoin by Miers, Garman, Green, Rubin 2013
Zerocash: Decentralized Anonymous Payments from Bitcoin by Ben-Sasson, Chiesa, Garman, Green, Miers, Tromer, Virza 2014
SNARKs for C: Verifying Program Executions Succinctly and in Zero Knowledge by Ben-Sasson, Chiesa, Genkin, Tromer, Virza 2013
11/24 Lattices
Daniele Micciancio lecture notes 1 2
Oded Regev lecture notes Factoring Polynomials with Rational Coefficients by Lenstra Lenstra and Lovasz 1982
The two faces of lattices in cryptology by Nguyen 2001
Using LLL-reduction for solving RSA and factorization problems: a survey by May 2007
11/26 Thanksgiving
12/1 Project presentations
12/3 No class
12/8 Project presentations


Final project guidelines can be found here.


Homework should be submitted using Canvas before noon on the day it is due. For programming exercises, submit the code you wrote and a short description of how you solved the problem. For mathematical or written exercises, please write up your solutions using Latex and submit a pdf to Canvas. If you've never used Latex before, you may want to make sure you can install and compile. Here is a useful reference for Latex.

Recommended Textbook

Additional Resources