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00 00 00 20 27 27 28 29 29 08 23 23 19 19 11 05 16 04 19 03 03 09 14\  15 11 20 31 13  Note the long string of zero's at the beginning; these are what makes scalar randomization less effective. As one might expect, $rn \approx r2^{252} + r2^{124.4}$, and if $r < 2^{128}$, then bits 251 and below of $k + nr$ will be strongly correlated to the corresponding bits of $k$ (because the bits of $nr$ with nontrivial contributions to those bits of the sum will be zero). Other special form primes don't have quite as striking of a form (I chose Curve25519 because the form of its $n$ is obvious), striking),  but they too have long strings of 0's or $b-1$ digits at the beginning, which yields the corresponding weakness. However, let us consider what happens if we consider a $b$ which is not a power of 2. For example, if we were to take the same $n$ expressed in base $b=48$, we get: 
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