CRC多項式集

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 私はCRC多項式とビット数を指定してCRCを計算するソースコードを出力するソフトウェアを作りたいが、CRCへの理解が不足しているため今は出来ない。がんばれ私!

http://noel.feld.cvut.cz/vyu/scs/SCS_obrazky_06/pdf-pro-Acroread-7.0/SCS_6.pdf
CRCの説明の項がとても充実していると思っていたのだが、さらに素晴らしい資料を発見して感動した!
via http://answers.yahoo.com/question/index?qid=20080326052131AAZDX5p
より引用


CRC-1 x + 1 (most hardware; also known as parity bit) 0x1 or 0x1 (0x1)
CRC-4-ITU x4 + x + 1 (ITU G.704, p. 12) 0x3 or 0xC (0x9)
CRC-5-ITU x5 + x4 + x2 + 1 (ITU G.704, p. 9) 0x15 or 0x15 (0x0B)
CRC-5-USB x5 + x2 + 1 (USB token packets) 0x05 or 0x14 (0x9)
CRC-6-ITU x6 + x + 1 (ITU G.704, p. 3) 0x03 or 0x30 (0x21)
CRC-7 x7 + x3 + 1 (telecom systems, MMC) 0x09 or 0x48 (0x11)
CRC-8-ATM x8 + x2 + x + 1 (ATM HEC) 0x07 or 0xE0 (0xC1)
CRC-8-CCITT x8 + x7 + x3 + x2 + 1 (1-Wire bus) 0x8D or 0xB1 (0x63)
CRC-8-Dallas/Maxim x8 + x5 + x4 + 1 (1-Wire bus) 0x31 or 0x8C (0x19)
CRC-8 x8 + x7 + x6 + x4 + x2 + 1 0xD5 or 0xAB (0x57)
CRC-8-SAE J1850 x8 + x4 + x3 + x2 + 1 0x1D or 0xB8 (0x71)
CRC-10 x10 + x9 + x5 + x4 + x + 1 0x233 or 0x331 (0x263)
CRC-11 x11 + x9 + x8 + x7 + x2 + 1 (FlexRay) 0x385 or 0x50E (0x21D)
CRC-12 x12 + x11 + x3 + x2 + x + 1 (telecom systems) 0x80F or 0xF01 (0xE03)
CRC-15-CAN x15 + x14 + x10 + x8 + x7 + x4 + x3 + 1 0x4599 or 0x4CD1 (0x19A3)
CRC-16-Fletcher ポケットリファレンス | Windows Server | VB2005 | プログラミング言語 | 規格準拠 Not a CRC; see Fletcher's checksum Used in Adler-32 A & B CRCs
CRC-16-CCITT x16 + x12 + x5 + 1 (X.25, V.41, Bluetooth, PPP, IrDA, BACnet; known as CRC-CCITT) 0x1021 or 0x8408 (0x0811)
CRC-16-IBM x16 + x15 + x2 + 1 (XMODEM, USB, many others; also known as CRC-16) 0x8005 or 0xA001 (0x4003)
CRC-24-Radix-64 x24 + x23 + x18 + x17 + x14 + x11 + x10 + x7 + x6 + x5 + x4 + x3 + x + 1 (FlexRay) 0x864CFB or 0xDF3261 (0xBE64C3)
CRC-32-Adler Powered by dKingyo SONY | NEC | アルゴリズム | オープンソース | Debian Not a CRC; see Adler-32 See Adler-32
CRC-32-IEEE 802.3 x32 + x26 + x23 + x22 + x16 + x12 + x11 + x10 + x8 + x7 + x5 + x4 + x2 + x + 1 (V.42, MPEG-2) 0x04C11DB7 or 0xEDB88320 (0xDB710641)
CRC-32C (Castagnoli) x32 + x28 + x27 + x26 + x25 + x23 + x22 + x20 + x19 + x18 + x14 + x13 + x11 + x10 + x9 + x8 + x6 + 1 0x1EDC6F41 or 0x82F63B78 (0x05EC76F1)
CRC-32K (Koopman) x32 + x30 + x29 + x28 + x26 + x20 + x19 + x17 + x16 + x15 + x11 + x10 + x7 + x6 + x4 + x2 + x + 1 0x741B8CD7 or 0xEB31D82E (0xD663B05D)
CRC-64-ISO x64 + x4 + x3 + x + 1 (HDLC — ISO 3309) 0x000000000000001B or 0xD800000000000000 (0xB000000000000001)
CRC-64-ECMA-182 x64 + x62 + x57 + x55 + x54 + x53 + x52 + x47 + x46 + x45 + x40 + x39 + x38 + x37 + x35 + x33 + x32 + x31 + x29 + x27 + x24 + x23 + x22 + x21 + x19 + x17 + x13 + x12 + x10 + x9 + x7 + x4 + x + 1 (as described in ECMA-182 p.63) 0x42F0E1EBA9EA3693 or 0xC96C5795D7870F42 (0x92D8AF2BAF0E1E85)

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