Fall 2022 - MATH 447 D100

Coding Theory (3)

Class Number: 4136

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 7 – Dec 6, 2022: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 7, 2022
    Wed, 12:00–3:00 p.m.
    Burnaby

  • Prerequisites:

    MATH 340 or 332, with a minimum grade of C-.

Description

CALENDAR DESCRIPTION:

An introduction to the theory and practice of error-correcting codes. Topics will include finite fields, polynomial rings, linear and non-linear codes, BCH codes, convolutional codes, majority logic decoding, weight distribution of codes, and bounds on the size of codes. Quantitative.

COURSE DETAILS:

We aim to study the theory and practice of linear error-correcting codes. Such codes enable the various methods of transmission and storage of digital data through noisy media, such as Internet, mobile telephony, wireless networks, DVD and CD discs, and deep space communication. The textbook for this course eases the student through the beautiful algebraic structures embraced by coding theory: groups, rings, fields and vector spaces. 

  • Fundamentals
  • Finite fields
  • Linear codes
  • Cyclic codes
  • BCH codes
  • Applications

Grading

  • Assignments 20%
  • Midterms 30%
  • Final Exam 50%

NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.

REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient). 

Materials

REQUIRED READING:

An Introduction to Error Correcting Codes with Applications
Scott A Vanstone and Paul C. van Oorschot
Kluwer Academic Publishers (Springer)
ISBN: 9780792390176

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html