The claim "This makes the cipher aperiodic" should be justified.
As an immediate counter, I would say that if your code runs on a physically finite machine (an however large, yet finite number of bits to store state), this strikes me as very unlikely to be theoretically true.
As an immediate counter, I would say that if your code runs on a physically finite machine (an however large, yet finite number of bits to store state), this strikes me as very unlikely to be theoretically true.