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A CRC-enabled device calculates a short, fixed-length binary sequence, known as the check value or CRC, for each block of data to be sent or stored and appends it to the data, forming a codeword.
Function CRC32 Input: data: Bytes // Array of bytes Output: crc32: UInt32 // 32-bit unsigned CRC-32 value // Initialize CRC-32 to starting value crc32 ← 0xFFFFFFFF for each byte in data do nLookupIndex ← (crc32 xor byte) and 0xFF crc32 ← (crc32 shr 8) xor CRCTable[nLookupIndex] // CRCTable is an array of 256 32-bit constants
The cyclic redundancy check (CRC) is a check of the remainder after division in the ring of polynomials over GF(2) (the finite field of integers modulo 2). That is, the set of polynomials where each coefficient is either zero or one, and arithmetic operations wrap around.
This is a list of hash functions, including cyclic redundancy checks, checksum functions, ... CRC with length appended CRC-8: 8 bits CRC: CRC-16: 16 bits CRC: CRC-32:
The frame check sequence (FCS) is a four-octet cyclic redundancy check (CRC) that allows detection of corrupted data within the entire frame as received on the receiver side. According to the standard, the FCS value is computed as a function of the protected MAC frame fields: source and destination address, length/type field, MAC client data ...
It is not suitable for detecting maliciously introduced errors. It is characterized by specification of a generator polynomial, which is used as the divisor in a polynomial long division over a finite field, taking the input data as the dividend. The remainder becomes the result. A CRC has properties that make it well suited for detecting burst ...
Data length code (DLC) (yellow) 4: Number of bytes of data (0–8 bytes) [a] Data field (red) 0–64 (0-8 bytes) Data to be transmitted (length in bytes dictated by DLC field) CRC: 15: Cyclic redundancy check: CRC delimiter: 1: Must be recessive (1) ACK slot: 1: Transmitter sends recessive (1) and any receiver can assert a dominant (0) ACK ...
Data length code (DLC) 4: Number of bytes of data (0–64 bytes) [a] Data field: 0–512 (0-64 bytes) Data to be transmitted (length in bytes dictated by DLC field) CRC: 15: Cyclic redundancy check: CRC delimiter: 1: Must be recessive (1) ACK slot: 1: Transmitter sends recessive (1) and any receiver can assert a dominant (0) ACK delimiter: 1 ...