Linear Codes: Decoding and Error Correction

This lecture covers the topic of linear codes, focusing on decoding and error correction. It explains how to decode information words from channel outputs, using systematic form generator matrices. The lecture also delves into the concept of parity-check matrices and their role in defining linear block codes. Examples illustrate the decoding process and the use of syndromes to correct errors. The Hamming codes are introduced as a specific type of linear block code that is easy to encode and decode. The lecture concludes with exercises on Hamming codes, repetition codes, and the minimum distance of linear codes.