Error Correction Codes: Structure and Properties

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Error Correction Codes: Syndrome and Hamming Codes

Explains error correction codes, syndromes, Hamming codes, and error correction techniques.

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Introduces erasure and error channels, Hamming distance, and error correction codes.

Linear Block Codes: Basics

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Error Correction Codes: Hamming Code

Explores the Hamming Code for error correction, emphasizing its ability to correct single-bit errors.

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Reed-Solomon Codes: Construction and Properties

Explores Reed-Solomon codes' construction, properties, decoding examples, linear codes, and applications in error correction on optical disks.

Error Correction Codes: Theory and Applications

Covers error correction codes theory and applications, emphasizing the importance of minimizing distance for reliable communication.

Error-Correcting Codes: Hamming Distance and Polynomial Multiplication

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Linear Codes: Systematic vs Non-Systematic

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Minimum Distance Decoding

Explains Minimum Distance (MD) decoding on erasure channels with illustrative examples.

Lecture: Shannon

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Information Theory: Source Coding, Cryptography, Channel Coding

Covers source coding, cryptography, and channel coding in communication systems, exploring entropy, codes, error channels, and future related courses.

Error-Correcting Codes: Reed-Solomon

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Complement: Monotone Class Theorem

Explains the independence of events and sets in an algebraic context.

Linear Codes: Dimension and Hamming Weight

Discusses linear codes' dimension and Hamming weight with examples and theorems.

Prediction Tests MOOC: Introduction to Discrete Choice Models

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Error Correction Log in to Mediaspace to watch this video

Covers error correction in quantum computing using Hamming codes and syndrome decoding.

Channel Coding: Convolutional Codes Log in to Mediaspace to watch this video

Explores channel coding with a focus on convolutional codes, emphasizing error detection, correction, and decoding processes.

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