This study analyzes the performance of Reed-Solomon codes (RS codes) using the MATLAB software environment. RS codes are selected as a class of error-correcting codes characterized by high performance under multiple burst errors, which makes them widely applicable in areas such as digital television, data storage (CD/DVD, flash memory) and wireless communication. The paper demonstrates and evaluates the performance of RS codes in practice through their simulation in MATLAB. The study covers the creation of simulation models for encoding, error insertion and decoding data using RS algorithms in MATLAB. The performance of the codes is evaluated by calculating the bit error rate (BER) and other relevant metrics. The influence of key parameters of RS codes (e.g., codeword length, number of check symbols) on their error-correcting ability is analyzed. The results of the study are intended to clearly show how RS codes cope with different types of errors and how their performance can be optimized by tuning the parameters. The work highlights the importance of MATLAB as a tool for developing, testing and optimizing coding systems, providing practical tools for researchers and engineers.

Keywords: Reed-Solomon codes, MATLAB, error correction, simulation, performance, error probability, communication systems, data storage

Analysis of a digital data transmission system through a noisy communication channel based on the Huffman compression method and encoding using cyclic Bose-Chowdhury-Hockingham codes This article examines the effectiveness of a digital data transmission system through a noisy communication channel using the Huffman compression method and cyclic BCH encoding (Bose-Chowdhury-Hockingham). Huffman compression reduces data redundancy, which increases the effective transmission rate, while BCH codes detect and correct errors caused by channel noise. The analysis likely includes evaluating parameters such as compression ratio, data transmission rate, error probability after decoding, and computational complexity of the algorithms. The results demonstrate the effectiveness of this combination of techniques in improving data transmission reliability in noisy environments.

Keywords: digital transmission system, cyclic coding, compression ratio, decoding, encoding