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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]
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
All practical CRC generator polynomials have non-zero and coefficients. It is very common to convert this to a string of binary bits by omitting the coefficient.. This bit string may then be converted to a binary number using one of two conventions:
Name Length Type Pearson hashing: 8 bits (or more) XOR/table Paul Hsieh's SuperFastHash [1]: 32 bits Buzhash: variable XOR/table Fowler–Noll–Vo hash function
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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 ...
Some file formats, particularly archive formats, include a checksum (most often CRC32) to detect corruption and truncation and can employ redundancy or parity files to recover portions of corrupted data. Reed-Solomon codes are used in compact discs to correct errors caused by scratches.
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