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  2. Computation of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Computation_of_cyclic...

    One of the most commonly encountered CRC polynomials is known as CRC-32, used by (among others) Ethernet, FDDI, ZIP and other archive formats, and PNG image format. Its polynomial can be written msbit-first as 0x04C11DB7, or lsbit-first as 0xEDB88320. This is a practical example for the CRC-32 variant of CRC. [5]

  3. Cyclic redundancy check - Wikipedia

    en.wikipedia.org/wiki/Cyclic_redundancy_check

    A cyclic redundancy check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to digital data. [ 1 ] [ 2 ] Blocks of data entering these systems get a short check value attached, based on the remainder of a polynomial division of their contents.

  4. Mathematics of cyclic redundancy checks - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_cyclic...

    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.

  5. Checksum - Wikipedia

    en.wikipedia.org/wiki/Checksum

    The checksum algorithms most used in practice, such as Fletcher's checksum, Adler-32, and cyclic redundancy checks (CRCs), address these weaknesses by considering not only the value of each word but also its position in the sequence

  6. List of hash functions - Wikipedia

    en.wikipedia.org/wiki/List_of_hash_functions

    This is a list of hash functions, including cyclic redundancy checks, checksum functions, and cryptographic hash functions. This list is incomplete ; you can help by adding missing items . ( February 2024 )

  7. Polynomial code - Wikipedia

    en.wikipedia.org/wiki/Polynomial_code

    Here are some examples of such properties: A polynomial code is cyclic if and only if the generator polynomial divides x n − 1 {\displaystyle x^{n}-1} . If the generator polynomial is primitive , then the resulting code has Hamming distance at least 3, provided that n ≤ 2 m − 1 {\displaystyle n\leq 2^{m}-1} .

  8. Fletcher's checksum - Wikipedia

    en.wikipedia.org/wiki/Fletcher's_checksum

    As with any calculation that divides a binary data word into short blocks and treats the blocks as numbers, any two systems expecting to get the same result should preserve the ordering of bits in the data word. In this respect, the Fletcher checksum is not different from other checksum and CRC algorithms and needs no special explanation.

  9. cksum - Wikipedia

    en.wikipedia.org/wiki/Cksum

    cksum is a command in Unix and Unix-like operating systems that generates a checksum value for a file or stream of data. The cksum command reads each file given in its arguments, or standard input if no arguments are provided, and outputs the file's 32-bit cyclic redundancy check (CRC) checksum and byte count. [1]