BCH Code Simulation in MATLAB

Resource Overview

A custom MATLAB simulation program for BCH codes featuring encoding and decoding main programs with corresponding execution results and algorithm explanations.

Detailed Documentation

This is my self-developed MATLAB simulation program for BCH (Bose-Chaudhuri-Hocquenghem) codes. The program consists of two main components: encoding and decoding modules, complete with execution results. In the encoding section, I implemented the BCH coding algorithm to encode input data with error detection and correction capabilities. The implementation uses MATLAB's communication toolbox functions or custom polynomial operations to generate systematic codewords with specified error-correcting capacity. The decoding module employs corresponding BCH decoding algorithms to process received encoded data and recover original information. The decoder utilizes syndromes calculation and error location polynomials to identify and correct transmission errors, implementing either Berlekamp-Massey algorithm or PGZ decoder for efficient error correction. By running this simulation, users can understand BCH code operational principles and observe encoding/decoding performance through bit error rate analysis and correction capability demonstrations. The program provides practical learning opportunities for those interested in error-correcting codes, featuring adjustable parameters for different code lengths and error-correction capabilities.