MATLAB Simulation of Reed-Solomon Encoding and Decoding with Modular Implementation

Developed a detailed and clear MATLAB simulation program for Reed-Solomon encoding and decoding, implementing various arithmetic operations in GF(Q) field (each operation as separate function files), RS encoding module, and decoding module. The decoding module is further subdivided into syndrome calculation module (implementing syndrome polynomial computation using received codeword evaluation), error locator polynomial calculation module (utilizing Berlekamp-Massey algorithm for iterative polynomial construction), error position calculation module (employing Chien search algorithm to find error locations), and error magnitude calculation module (using Forney algorithm for error value determination). Additionally, includes specialized testbench functionality with comprehensive test cases to verify each module's correctness through automated validation routines. This structured approach ensures the program's completeness, detailed implementation, and accuracy through systematic modular testing and algorithm verification.