Cyclic Redundancy Check (CRC) Code

CRC (Cyclic Redundancy Check) code, derived from block linear codes, primarily operates with binary codewords. Its simple encoding process and low false-detection probability make it widely adopted in communication systems. As an important class of linear block codes, CRC not only possesses strong algebraic theoretical foundations but also enables straightforward implementation of encoding and decoding through linear shift registers. Analysis and MATLAB-based simulations demonstrate CRC's robust error-detection capabilities and encoding simplicity.