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The software to generate the lookup table is so small and fast that it is usually faster to compute them on program startup than to load precomputed tables from storage. One popular technique is to use the bit-at-a-time code 256 times to generate the CRCs of the 256 possible 8-bit bytes. [ 4 ]
The table below lists only the polynomials of the various algorithms in use. Variations of a particular protocol can impose pre-inversion, post-inversion and reversed bit ordering as described above. For example, the CRC32 used in Gzip and Bzip2 use the same polynomial, but Gzip employs reversed bit ordering, while Bzip2 does not. [14]
XOR/table Paul Hsieh's SuperFastHash [1] 32 bits Buzhash: variable XOR/table Fowler–Noll–Vo hash function (FNV Hash) 32, 64, 128, 256, 512, or 1024 bits xor/product or product/XOR Jenkins hash function: 32 or 64 bits XOR/addition Bernstein's hash djb2 [2] 32 or 64 bits shift/add or mult/add or shift/add/xor or mult/xor PJW hash / Elf Hash ...
The exception to this result is a bit pattern the same as that of the generator polynomial. All uneven bit errors are detected by generator polynomials with even number of terms. 2-bit errors in a (multiple) distance of the longest bitfilter of even parity to a generator polynomial are not detected; all others are detected.
CRC32 r32,r/m16 CRC32 r32,r/m32: F2 0F 38 F1 /r: CRC32 r64,r/m64: F2 REX.W 0F 38 F1 /r: FSGSBASE Read/write base address of FS and GS segments from user-mode. Available in 64-bit mode only. RDFSBASE r32 RDFSBASE r64: F3 0F AE /0 F3 REX.W 0F AE /0: Read base address of FS: segment. 3 Ivy Bridge, Steamroller, Goldmont, ZhangJiang: RDGSBASE r32 ...
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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]
CRC Standard Mathematical Tables, a mathematics reference handbook published by CRC Press; Cyclic redundancy check, a type of hash function used to produce a checksum in order to detect errors in data storage or transmission