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Polynomial representations of cyclic redundancy checks
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Polynomial representations of cyclic redundancy checks : ウィキペディア英語版
Polynomial representations of cyclic redundancy checks
These are polynomial representations of cyclic redundancy checks CRCs.
+ x^9 + x^8 + x^7 + x^2 + 1 (FlexRay) || 0x385 / 0x50E / 0x5C2
|-
|CRC-12 || x^ + x^ + x^3 + x^2 + x + 1 (telecom systems〔
〕)
|| 0x80F / 0xF01 / 0xC07〔
|-
|CRC-13-BBC || x^ + x^ + x^ + x^ + x^7 + x^6 + x^5 + x^4 + x^2 + 1 () () || 0x1CF5 / 0x15E7 / 0x1E7A
|-
|CRC-15-CAN|| x^ + x^ + x^ + x^8 + x^7 + x^4 + x^3 + 1 || 0x4599 / 0x4CD1 / 0x62CC
|-
|CRC-16-IBM || x^ + x^ + x^2 + 1 (Bisync, Modbus, USB, ANSI (X3.28 ), many others; also known as ''CRC-16'' and ''CRC-16-ANSI'') || 0x8005 / 0xA001 / 0xC002
|-
|CRC-16-CCITT || x^ + x^ + x^5 + 1 (X.25, V.41, HDLC, XMODEM, Bluetooth, SD, many others; known as ''CRC-CCITT'') || 0x1021 / 0x8408 / 0x8810〔
|-
|CRC-16-T10-DIF || x^ + x^ + x^ + x^ + x^8 + x^7 + x^5 + x^4 + x^2 + x + 1 (SCSI DIF) || 0x8BB7 / 0xEDD1 / 0xC5DB
|-
|CRC-16-DNP || x^ + x^ + x^ + x^ + x^ + x^8 + x^6 + x^5 + x^2 + 1 (DNP, IEC 870, M-Bus) || 0x3D65 / 0xA6BC / 0x9EB2
|-
|CRC-16-DECT || x^ + x^ + x^8 + x^7 + x^3 + 1 (cordless telephones) || 0x0589 / 0x91A0 / 0x82C4
|-
|CRC-16-Fletcher || Not a CRC; see Fletcher's checksum || Used in Adler-32 A & B CRCs
|-
|CRC-24 || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^8 + x^7 + x^6 + x^3 + x + 1 (FlexRay〔) || 0x5D6DCB / 0xD3B6BA / 0xAEB6E5
|-
|CRC-24-Radix-64 || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^7 + x^6 + x^5 + x^4 + x^3 + x + 1 (OpenPGP) || 0x864CFB / 0xDF3261 / 0xC3267D
|-
|CRC-30 || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x + 1 (CDMA) || 0x2030B9C7 / 0x38E74301 / 0x30185CE3
|-
|CRC-32-Adler || Not a CRC; see Adler-32 || See Adler-32
|-
|CRC-32 || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^8 + x^7 + x^5 + x^4 + x^2 + x + 1 (ISO 3309, ANSI X3.66, FIPS PUB 71, FED-STD-1003, ITU-T V.42, Ethernet, SATA, MPEG-2, Gzip, PKZIP, POSIX cksum, PNG, ZMODEM)
|| 0x04C11DB7 / 0xEDB88320 / 0x82608EDB
|-
| (Castagnoli) || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^9 + x^8 + x^6 + 1 (iSCSI & SCTP, G.hn payload, SSE4.2) || 0x1EDC6F41 / 0x82F63B78 / 0x8F6E37A0〔
|-
| (Koopman) || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x + 1 || 0x741B8CD7 / 0xEB31D82E / 0xBA0DC66B〔
|-
|CRC-32Q || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x + 1 (aviation; AIXM) || 0x814141AB / 0xD5828281 / 0xC0A0A0D5
|-
|CRC-40-GSM || x^ + x^ + x^ + x^ + x^3 + 1 (GSM control channel〔(ETSI TS 100 909 ) version 8.9.0 (January 2005), Section 4.1.2 a〕) || 0x0004820009 / 0x9000412000 / 0x8002410004
|-
|CRC-64-ISO || x^ + x^4 + x^3 + x + 1 (HDLC — ISO 3309, Swiss-Prot/TrEMBL; considered weak for hashing〔〕) || 0x000000000000001B / 0xD800000000000000 / 0x800000000000000D
|-
|CRC-64-ECMA-182 || x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^ + x^9 + x^7 + x^4 + x + 1 (as described in (ECMA-182 ) p. 51) || 0x42F0E1EBA9EA3693 / 0xC96C5795D7870F42 / 0xA17870F5D4F51B49
|-
|}
== See also ==
General category
* Error correcting code
* List of checksum algorithms
* Polynomial Representations of CRCs
* Parity
Specific technological references
* Adler-32
* Fletcher's checksum

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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