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Error Detection and Correction Codes
This lecture covers the concepts of error detection and correction codes, focusing on channel models, erasure and error weights, channel coding, block codes, Hamming distance, minimum-distance decoders, and the trade-off between rate and minimum distance. It explains the role of decoders in correcting errors and detecting erasures, emphasizing the importance of minimum distance in error detection. The lecture also discusses the relationship between error detection and the minimum distance of a code, highlighting the limitations of minimum-distance decoders in detecting certain channel errors.