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If we have a large file, I want to know how this will affect the probability of undetected errors, especially in CRCs. I know that undetected error rate (packet or chunk) is BitR * BER * 0.5k where k is the FSC of the CRC. In CRC 32 k is 31.

From this equation and picture below, the packet size is not effecting the probability of undetected error for different packet sizes. Suppose we have 1,000,000 packets each with $2^{-32}$ probability of an undetected error, how can I calculate the probability of undetected error for the entire 1 petabyte file?

the upper bound is always the same

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