Is there any bias in certain parts of the hash? E.g., first
n bits are more/less unique than the last/middle
n bits? Is there any particular property of any group of bits that makes it more/less unique?
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Yes in a sense in terms of the Hamming weight/Hamming distance. This relates to how the changes of one bit or series of bits affect others. While there is also an avalanche effect counteracting many n string bits attacks, Hamming dictates some attacks to be more successful on certain n bit strings and thus certain n bit strings more vulnerable to exploits: