Design and Simulation of Encoder and Decoder for Channel Coding Linear Block Codes - Hamming Code

Channel coding serves as a critical technique in communication systems to enhance data transmission reliability. Among various coding schemes, linear block codes like Hamming codes represent commonly used methods for detecting and correcting errors introduced during transmission. The encoder and decoder function as core components in channel coding systems, responsible for data encoding and decoding operations respectively. Implementing efficient and reliable encoders/decoders proves essential for ensuring data transmission accuracy. Through simulation experiments, researchers can validate encoder/decoder performance and conduct optimization studies. This paper therefore focuses on designing and simulating Hamming code encoders/decoders for linear block channel coding, while exploring performance characteristics and optimization approaches. Key implementation aspects include parity-check matrix generation, syndrome calculation algorithms, and error pattern matching techniques that enable single-bit error correction and double-bit error detection capabilities intrinsic to Hamming codes.