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CRC - recommendation on polynomial (divisor) length

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I need to transmit an adc10 value over uart. I would like to include a crc. What value polynomial would be appropriate for this application? Can I use a divisor of length 3? Does this mean my remainder would be 2 bits?   -----> orig(14 = 10 bit padded with 0s) + parity bits(2) 


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