in reply to (OT) A different kind of 'combinatorics'

length unspecified

It is easy to see that the length must be equal to $number_of_patters + $size_of_pattern - 1 as a new pattern is introduced at every bit offset.

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Re^2: (OT) A different kind of 'combinatorics'
by BrowserUk (Patriarch) on Mar 26, 2015 at 15:44 UTC
    It is easy to see that the length must be equal to $number_of_patters + $size_of_pattern - 1 as a new pattern is introduced at every bit offset.

    Correct. I'd worked out that for 4, 19 had to be the minimum length, but I wasn't convinced that it could be done in the minimum length.

    Now you've pointed it out, it is becomes obvious that it can only be done in the minimum length; else you'd have dups.

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