Class: Tuesday, Thursday, 12:25-1:45, LCB 222
Office: LCB 124, (801) 581-8647
E-mail: singh at math.utah.edu
Office Hours: Monday 11:00-12:00, and by appointment.
Text: Numbers, Groups and Cryptography by Gordan Savin, and the optional text: Introduction to Cryptography with Coding Theory, by Trappe and Washington, 2nd Edition, ISBN 0131862391. (An earlier edition of this would suffice as well.)
Prerequisites: A grade of C or better in Math 4400.
Goals and objectives: Classical and modern methods of encryption, applications to public-key ciphers, primality testing, factorization attacks, elliptic curves and factoring using elliptic curves, error correcting codes, computational number theory.
Homework: Homework will be assigned and collected roughly every two weeks. Students may discuss the problems with others, but it is important to write up one's own solutions.
Exams: There will be an in-class exam on April 2, Tuesday, and a take-home final exam (30% each).
Other dates: Last day to add, drop (delete), elect CR/NC, or audit classes: Friday, January 18.
Last day to withdraw from classes: Friday, March 8.
ADA: The Americans with Disabilities Act requires that reasonable accommodations be provided to qualified individuals. To discuss any such accommodations, please contact me as well as the Center for Disability Services, (801) 581-5020, at the beginning of the semester.
BBC: Geeks v government
Stanford Magazine: Keeping secrets
The magic words are squeamish ossifrage
NYT: Programmer Exposes Microsoft Flaws
Python 1 squeamish ossifrage
Python 2 factoring
Python 3 Jacobi symbols
Python 4 Pocklington-Lehmer test
Maple 1 elliptic curves
Maple 2 elliptic curve factoring
Maple 3 Microsoft DRM
Homework 1 pdf and tex
Homework 2 pdf and tex
Homework 3 pdf and tex
Homework 4 pdf and tex
Homework 5 pdf and tex
Take-home exam pdf and tex and solutions