CRC and checksum

In my VLSI design work I need to implement CRC32, CRC32c, CRC16,
CRC16c, checksum 8b, checksum 16b, checksum 32b, T10 DIF for the data
buses of 32 and 64 bits.

The first problem that I faced with is how to find the official
definitions of all this stuff - I mean standards, RFCs, etc.

I may paraphrase the question: the CRC polynomial - is it the single
thing I need to know to make hardware implementation of the function.

.

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