Question

What is the key space cardinality for an affine cipher where a and b are both chosen from group Z _{n}, where (n=5) ? Your Answer:

Answer 1

For an affine cipher with 'a' and 'b' chosen from group Zn with n = 5, the key space cardinality is 25.

Step-by-step explanation:

The key space cardinality for an affine cipher is determined by the number of values that the key can take on. In the case of an affine cipher where both 'a' and 'b' are chosen from the group Zn, with n = 5, the key space cardinality is the number of possible combinations of 'a' and 'b'.

The group Zn consists of integers from 0 to n-1. In this case, n = 5, so the possible values for 'a' and 'b' are 0, 1, 2, 3, and 4. As we have two choices for 'a' and two choices for 'b', the total number of possible combinations of 'a' and 'b' is 5 * 5 = 25.

Therefore, the key space cardinality for an affine cipher where both 'a' and 'b' are chosen from group Zn, with n = 5, is 25.