Bose–Chaudhuri–Hocquenghem codes, or BCH codes, are a class of error-correcting codes used in digital communication and data storage. They are designed to detect and correct multiple random errors in data transmission, making them essential for reliable communication systems. BCH codes are constructed using polynomial algebra over finite fields, allowing for efficient encoding and decoding processes. These codes are named after their developers, Raj Chandra Bose, D. K. Chaudhuri, and Alexis Hocquenghem. BCH codes can correct up to t errors in a codeword, where t is determined by the code's parameters. Their versatility and effectiveness make them widely used in applications like CDs, QR codes, and satellite communications.