Ring theory has found profound applications in modern coding and error detection, extending classical results from finite fields to more general algebraic structures. Rings, with their versatile operations, enable the design of robust codes that are effective in noisy communication environments. Polynomial rings, and quotient rings have advanced error control mechanisms beyond linear codes over fields. These frameworks not only improve code efficiency but also enhance error detection and correction capabilities. The flexibility of ring-based codes supports innovations in digital communications, cryptography, and storage systems, establishing a strong link between algebra and information theory.