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First off, the values above that are showing as AvgDist are actually Normalized Average Hamming Distances, not Average Hamming Distances. I wrote a quick script to do some testing around this issue. Details are here, http://trustedsignal.blogspot.com/2015/06/xord-play-normalized-hamming-distance.html, and I won't rehash it all. Multiples of the actual key ...

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