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Off hand, no. But it looks like you want the inverse of the modulo function. Maybe you can search out some information on that. If you can provide a bit more info on what's known and unknown in that formula, since there are three variables (a,k,n), that might help a little bit in figuring it out.
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Hmm, if it's doing what I think it's doing (namely shifting an alphabet, a
, by k
and cycling around the alphabet size n
) then the following should work to reverse it:
f(a) = ((a + n) - (k mod n)) mod n
Shifting forwards by the size of the alphabet to prevent values of a
from going negative when shifted backwards (which would make using mod n
to constrain it to the bounds of the alphabet size not work), then shifting it backwards by a value k
constrained to the alphabet size (to again prevent it going negative), and then using mod n to constrain the end result to the alphabet size.
This may not be the most efficient or concise way of doing it, but if I've interpreted correctly, I think it should work for what you are doing.
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f(a)=(a+k) mod n
Anybody know how to reverse it?
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