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In the following example code, crc holds the value of table[i]: big_endian_table[0] := 0 crc := 0x8000 // Assuming a 16-bit polynomial i := 1 do { if crc and 0x8000 { crc := (crc leftShift 1) xor 0x1021 // The CRC polynomial} else { crc := crc leftShift 1 } // crc is the value of big_endian_table[i]; let j iterate over the already-initialized ...
The CRC and associated polynomial typically have a name of the form CRC-n-XXX as in the table below. The simplest error-detection system, the parity bit, is in fact a 1-bit CRC: it uses the generator polynomial x + 1 (two terms), [5] and has the name CRC-1.
All the well-known CRC generator polynomials of degree have two common hexadecimal representations. In both cases, the coefficient of x n {\displaystyle x^{n}} is omitted and understood to be 1. The msbit-first representation is a hexadecimal number with n {\displaystyle n} bits, the least significant bit of which is always 1.
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 ...
This page was last edited on 7 March 2023, at 10:37 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may ...
Linear Feedback Shift Registers at the Wayback Machine (archived October 1, 2018) – LFSR theory and implementation, maximal length sequences, and comprehensive feedback tables for lengths from 7 to 16,777,215 (3 to 24 stages), and partial tables for lengths up to 4,294,967,295 (25 to 32 stages).
In-circuit emulation breakpoint. Performs software interrupt #1 if executed when not using in-circuit emulation. [p] 3 UMOV r/m, r8 0F 10 /r: User Move – perform data moves that can access user memory while in In-circuit emulation HALT mode. Performs same operation as MOV if executed when not doing in-circuit emulation. [q] UMOV r/m, r16/32 ...
Since the generator polynomial is of degree 10, this code has 5 data bits and 10 checksum bits. It is also denoted as: (15, 5) BCH code. (This particular generator polynomial has a real-world application, in the "format information" of the QR code.) The BCH code with = and higher has the generator polynomial