Fall 2020 - MATH 447 D100

Coding Theory (3)

Class Number: 2812

Delivery Method: Remote

Overview

  • Course Times + Location:

    Sep 9 – Dec 8, 2020: Mon, Wed, Fri, 11:30 a.m.–12:20 p.m.
    Burnaby

  • Exam Times + Location:

    Dec 9, 2020
    Wed, 7:00–10:00 p.m.
    Burnaby

  • Prerequisites:

    MATH 340 or 332.

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:



This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.


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

Note: this is a cross-listed course with MATH 747. Students registered in MATH 747 will be required to submit an extra project.

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:

Access to highspeed internet, webcam.

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

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity web site 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

TEACHING AT SFU IN FALL 2020

Teaching at SFU in fall 2020 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.

Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112).