UNIVERSITY OF DELAWARE
DEPARTMENT OF MATHEMATICAL SCIENCES


MATH 549-010 Coding Theory and Cryptography Fall 2008

Time & Place: MWF 1:25 - 2:15, Room 220, Smith Hall

Instructor: Prof. G. Ebert
Room 510, Ewing Hall
Office Hours: MW 2:30 - 4:00, T 4:00 - 5:00
Phone & Voice Mail: 831-1870
E-mail: ebert@math.udel.edu
Home Page: http://www.math.udel.edu/~ebert

Prerequisite: MATH349 or equivalent

Text: Juergen Bierbrauer, Introduction to Coding Theory, Chapman & Hall, 2005.

Course Content:
Chapter 1 : The concept of coding approx. 2 weeks
Chapter 2 : Binary linear codes approx. 2 weeks
Chapter 3 : General linear codes approx. 2 weeks
Chapter 4 : Singleton bound and Reed-Solomon codes approx. 1/2 week
Chapter 5 : Recursive constructions approx. 1 week
Chapter 6 : Universal hashing approx. 1 lecture
Chapter 7 : Designs and the binary Golay code approx. 1/2 week
Chapter 13 : Cyclic codes approx. 2 weeks
Reserve Reading : Intoduction to cryptography approx. 2 weeks

Grading: Collected Homework: 1/4
Two in-class exams: 1/2
Project and presentation : 1/4

Remarks: The text has many good homework problems, at various levels of difficulty. I will suggest several of these problems for you to consider. From time to time, say two or three times during the semester, I will collect a subset of the suggested HW problems to be graded. Once I have made such an announcement, please work independently on those problems to be collected. I may also assign and collect a few additional homework problems (not from the text). Your performance on these collected homework problems will constitute 1/4 of your course evaluation.

There will be two in-class examinations. Each will count for 1/4 of your grade.

About half-way through the the course I will distribute several projects for consideration. You will be asked to form groups, and each group will then choose one of the suggested projects. During the last week of the semester, each group will be asked to give an oral presentation on their project. Each member of the group should participate in the presentation. A final typed report (most preferably in Latex) should be submitted by the group immediately after its presentation. The group score on this presentation will constitute the remaining 1/4 of your course evaluation.

Academic Dishonesty: Academic dishonesty is a serious offense and will be prosecuted accordingly. For complete information on the University's policy on this subject, please consult the following website: "http://www.udel.edu/stuguide/06-07/code.html#honesty"

Feel free to contact me with any questions or concerns you may have.


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Last modified September 2, 2008 by Gary Ebert