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Lecture
Convolutional Codes: Mapping Symbols and Paths
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Designing Convolutional Codes
Covers the art of designing convolutional codes to improve communication rate.
Binary Coding: Channel Decoding
Explores binary channel decoding and vector spaces in coding theory.
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Covers the proof and properties of the coding theorem, focusing on maximizing the properties of lx and the achievable rate.
Error Correction Codes: Hamming Code
Explores the Hamming Code for error correction, emphasizing its ability to correct single-bit errors.
Error Correction Codes: Structure and Properties
Explores error correction codes, focusing on structure, properties, and the Singleton bound.
Error Correction Codes: Basics
Introduces erasure and error channels, Hamming distance, and error correction codes.
Error Correction Codes: Decoding and Communication
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Explains Minimum Distance (MD) decoding on erasure channels with illustrative examples.
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Explains quantum correction codes using two classic codes to correct errors, focusing on goal flips and headlight flips.