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Error control coding: An introduction to linear block code

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Free Online Course: Error control coding: An introduction to linear block code provided by Swayam is a comprehensive online course, which lasts for 4 weeks long, 2-3 hours a week. The course is taught in English and is free of charge. Error control coding: An introduction to linear block code is taught by Adrish Banerjee.

IIT Kanpur NPTEL via Swayam
4 weeks long, 2-3 hours a week
Finished
Overview

  • Error control coding is an indispensible part of any digital communication system. In this introductory course, we will discuss theory of linear block codes, their encoding and decoding techniques as well as their applications in real world scenarios. Starting from simple repetition codes, we will discuss among other codes capacity approaching low density parity check codes. We will also discuss bounds on number of codewords given codeword length and minimum distance of code. 

Syllabus

  • Week 1:
    Lecture 1: Introduction to error control coding
    Lecture 2: Introduction to linear block codes, generator matrix and parity check matrix
    Lecture 3: Properties of linear block codes: syndrome, error detection, error correction

    Week 2:
    Lecture 4: Decoding of linear block codes
    Lecture 5: Distance properties of linear block codes

    Week 3:
    Lecture 6: Some simple linear block codes: Repetition codes, Single parity check codes, Hamming codes, Reed Muller codes
    Lecture 7: Bounds on size of codes: Hamming bound, Singleton bound, Plotkin bound, Gilbert-Varshamov bound

    Week 4:
    Lecture 8: Low density parity check codes
    Lecture 9: Decoding of low density parity check codes: Belief propagation algorithm
    Lecture 10: Applications of linear block codes

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