Reed-Solomon Codes are a type of error-correcting code used to ensure data integrity in digital communications and storage. They work by adding extra data, called redundancy, to a message. This redundancy allows the system to detect and correct errors that may occur during transmission or storage, making it especially useful in applications like CDs, DVDs, and QR codes. These codes are based on polynomial mathematics and can correct multiple errors in a block of data. By using finite fields, Reed-Solomon Codes can efficiently recover lost or corrupted information, ensuring that the original message can be accurately reconstructed even if some parts are damaged.