The Most used CRC polynomials

Following is a list of the most used CRC polynomials

• CRC-12: X^12+X^11+X^3+X^2+X+1
• CRC-16: X^16+X^15+X^2+1
• CRC-CCITT: X^16+X^12+X^5+1
• CRC-32: X^32+X^26+X^23+X^22+X^16+X^12+X^11+X^10+X^8+X^7+X^5+X^4+X^2+X+1

The CRC-12 is used for transmission of streams of 6-bit characters and generates 12-bit FCS. Both CRC-16 and CCRC-CCITT are used for 8 bit transmission streams and both result in 16 bit FCS. The last two are widely used in the USA and Europe respectively and give adequate protection for most applications. Applications that need extra protection can make use of the CRC-32 which generates 32 bit FCS. The CRC-32 is used by the local network standards committee (IEEE-802) and in some DOD applications.