CRCcodes
CRC codes, or cyclic redundancy check codes, are error-detecting codes used to detect accidental data corruption in digital communications and storage. They work by treating the message as a polynomial over the binary field GF(2) and dividing it by a fixed generator polynomial. The remainder of this division is the CRC, which is appended to the data and checked on receipt.
Different CRCs have different widths, commonly 8, 16, 32, or 64 bits. Each CRC is defined by
CRCs can be computed efficiently with linear feedback shift registers in hardware or with table-driven procedures
In terms of error-detection capabilities, CRCs are particularly good at detecting single-bit errors and burst errors
CRC codes are widely used in network protocols, data storage, and file formats. Examples include CRC-32 in