The Theorem that Won the War: Activities for Part 2.1 (Compositions)

1. Consider the following initial setting for an Enigma encryption:

    

   

   1. Find \(Q\), the permutation corresponding to the reflector rotor.
   2. Find \(N_{1}\) and \(N_{1}^{-1}\), the permutations corresponding to the keyboard rotor for the first letter of a message.
   3. Find \(E_{1}\), the permutation corresponding to the encryption of the first letter.
   4. Verify \(E_{1} = N_{1}^{-1} QN_{1}\).

Return to the overview of Part 2.1 (Compositions).

Continue to the overview of Part 2.2 (Conjugates).