Computational Group Theory

Learning Outcomes

On successful completion of this course, student will be able to: Explain Error Detection Code and its implementation; Explain the basis Error Correction Code concept through Hamming Code; Evaluate Linear Codes, Cyclic Codes, and its applications; Evaluate BCH and Reed-Solomon Codes and its application; Evaluate Convolutional Codes and its applications.

Topics

Introduction
Signal Detection, Error Detection, Weight Distribution, Memoryless Channel
Error Correction: Hamming Codes, Hamming Distances
Review: Modern Algebra
Block Codes: Linear Codes, Cyclic Codes, Rings, and Polynomials
BCH and Reed-Solomon Codes
Convolutional Codes

Published at : 30 April 2012 Updated at : 04 June 2012

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