Cryptography, Cybersecurity.
{2,4,8,5,10,9,7,3,6,1}, and where all the input values give a 1-to-1 mapping to another value in the group. But if we try g=3 and p=11, we get x=1 gives 3, and for x=6 also gives 3. The mapping is now {1,2,3,4,5,6,7,8,9,10} to {3,9,5,4,1,3,9,5,4,1}, and so we are not using the full range, and where