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comment creating a small number from a cryptographically secure random string
I think you're right Thomas in that a typo was made. With (N / K) * K the K's would cancel each other out leaving you with N, which X is already pretty much guaranteed to be less than.
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comment ANSI X9.31 standards for generating random numbers
Is there some reason DES in counter mode shouldn't instill confidence? I could lack confidence over RSA encryption with a 4096-bit key but I'd probably be silly to do so without a specific reason..
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comment ANSI X9.31: the purpose of the date/time vector in the PRNG?
What if v* isn't a fixed secret? Plus, it seems to me that Ek() would need to have random keys / IVs anyway so if you could generate a random key / IV with what's available in your entropy pool why not just do the same for V*?
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