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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. Any string of bits can be interpreted as the coefficients of a ...
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. On retrieval, the calculation is repeated ...
Computation of cyclic redundancy checks. Computation of a cyclic redundancy check is derived from the mathematics of polynomial division, modulo two. In practice, it resembles long division of the binary message string, with a fixed number of zeroes appended, by the "generator polynomial" string except that exclusive or operations replace ...
1928 (1st ed.)–2018 (33rd ed.) Publication place. United States. ISBN. 9781498777803 (33rd ed.) Website. www.mathtable.com /smtf /. CRC Standard Mathematical Tables (also CRC Standard Mathematical Tables and Formulas or SMTF) is a comprehensive one-volume handbook containing a fundamental working knowledge of mathematics and tables of formulas.
Usually, the second sum will be multiplied by 2 16 and added to the simple checksum, effectively stacking the sums side-by-side in a 32-bit word with the simple checksum at the least significant end. This algorithm is then called the Fletcher-32 checksum. The use of the modulus 2 16 − 1 = 65,535 is also generally implied. The rationale for ...
division/modulo xxHash [8] 32, 64 or 128 bits product/rotation t1ha (Fast Positive Hash) [9] 64 or 128 bits product/rotation/XOR/add GxHash [10] 32, 64 or 128 bits AES block cipher pHash [11] fixed or variable see Perceptual hashing: dhash [12] 128 bits see Perceptual hashing: SDBM [2] [13] 32 or 64 bits mult/add or shift/add also used in GNU ...
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor. [1]
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm (a, b), is the smallest positive integer that is divisible by both a and b. [1][2] Since division of integers by zero is undefined, this definition has meaning only if a and b are both ...